From db8f316f0ba5d842c0f031771208a856cc183a17 Mon Sep 17 00:00:00 2001 From: learnsomethingtoday <56990829+learnsomethingtoday@users.noreply.github.com> Date: Sat, 2 Oct 2021 23:16:01 +0530 Subject: [PATCH 001/232] Create numberofislands.cpp --- C++/numberofislands.cpp | 76 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 76 insertions(+) create mode 100644 C++/numberofislands.cpp diff --git a/C++/numberofislands.cpp b/C++/numberofislands.cpp new file mode 100644 index 0000000..5a638cf --- /dev/null +++ b/C++/numberofislands.cpp @@ -0,0 +1,76 @@ +#include +using namespace std; +int a[1000][1000]; +int visited[1000][1000]; +vector> v; +int dist[1000][1000]; +void bfs(int m,int n) +{ + for(auto i:v) + { + int time = 0; + int x = i.first; + int y = i.second; + dist[x][y] = 0; + queue> q; + q.push(make_pair(x,y)); + while(!q.empty()) + { + int t = q.front().first; + int u = q.front().second; + q.pop(); + //cout<=0 and a[t-1][u]==1){a[t-1][u]=2;dist[t-1][u] = dist[t][u] + 1;q.push(make_pair(t-1,u));} + if(u-1>=0 and a[t][u-1]==1){a[t][u-1]=2;dist[t][u-1] = dist[t][u] + 1;q.push(make_pair(t,u-1));} + //cout<<'a'<>m>>n; + for(int i=0;i>a[i][j]; + } + } + for(int i=0;i Date: Tue, 5 Oct 2021 11:33:20 +0530 Subject: [PATCH 002/232] Updated readme.md file of data structures folder. There was a small spelling mistake. I had resolved that. --- Data Structures/readme.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Data Structures/readme.md b/Data Structures/readme.md index b02dbc7..fb16adf 100644 --- a/Data Structures/readme.md +++ b/Data Structures/readme.md @@ -1,4 +1,4 @@ -# Data Sctuctures +# Data Structures **Data Structures** is a named location that can be used to store and organize data. And, an algorithm is a collection of steps to solve a particular problem. Learning data structures and algorithms allow us to write efficient and optimized computer programs. From fe73cfaa3126bc8d5678cb066f048433dce83e2f Mon Sep 17 00:00:00 2001 From: M-Rafay <66524287+M-Rafay@users.noreply.github.com> Date: Tue, 5 Oct 2021 16:06:53 +0500 Subject: [PATCH 003/232] Create BFS.py BFS (Breadth First Search) --- Python/Searching/BFS.py | 64 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 64 insertions(+) create mode 100644 Python/Searching/BFS.py diff --git a/Python/Searching/BFS.py b/Python/Searching/BFS.py new file mode 100644 index 0000000..e4296a2 --- /dev/null +++ b/Python/Searching/BFS.py @@ -0,0 +1,64 @@ +# Python3 Program to print BFS traversal +# from a given source vertex. BFS(int s) +# traverses vertices reachable from s. +from collections import defaultdict + +# This class represents a directed graph +# using adjacency list representation +class Graph: + + # Constructor + def __init__(self): + + # default dictionary to store graph + self.graph = defaultdict(list) + + # function to add an edge to graph + def addEdge(self,u,v): + self.graph[u].append(v) + + # Function to print a BFS of graph + def BFS(self, s): + + # Mark all the vertices as not visited + visited = [False] * (max(self.graph) + 1) + + # Create a queue for BFS + queue = [] + + # Mark the source node as + # visited and enqueue it + queue.append(s) + visited[s] = True + + while queue: + + # Dequeue a vertex from + # queue and print it + s = queue.pop(0) + print (s, end = " ") + + # Get all adjacent vertices of the + # dequeued vertex s. If a adjacent + # has not been visited, then mark it + # visited and enqueue it + for i in self.graph[s]: + if visited[i] == False: + queue.append(i) + visited[i] = True + +# Driver code + +# Create a graph given in +# the above diagram +g = Graph() +g.addEdge(0, 1) +g.addEdge(0, 2) +g.addEdge(1, 2) +g.addEdge(2, 0) +g.addEdge(2, 3) +g.addEdge(3, 3) + +print ("Following is Breadth First Traversal" + " (starting from vertex 2)") +g.BFS(2) From fd0b1da5c1fd7642ba74989f04af5cb21d34c242 Mon Sep 17 00:00:00 2001 From: M-Rafay <66524287+M-Rafay@users.noreply.github.com> Date: Tue, 5 Oct 2021 16:09:04 +0500 Subject: [PATCH 004/232] Create BFS.cs Breadth First Search --- C#/Searching/BFS.cs | 99 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 99 insertions(+) create mode 100644 C#/Searching/BFS.cs diff --git a/C#/Searching/BFS.cs b/C#/Searching/BFS.cs new file mode 100644 index 0000000..977104e --- /dev/null +++ b/C#/Searching/BFS.cs @@ -0,0 +1,99 @@ +// C# program to print BFS traversal +// from a given source vertex. +// BFS(int s) traverses vertices +// reachable from s. +using System; +using System.Collections.Generic; +using System.Linq; +using System.Text; + +// This class represents a directed +// graph using adjacency list +// representation +class Graph{ + +// No. of vertices +private int _V; + +//Adjacency Lists +LinkedList[] _adj; + +public Graph(int V) +{ + _adj = new LinkedList[V]; + for(int i = 0; i < _adj.Length; i++) + { + _adj[i] = new LinkedList(); + } + _V = V; +} + +// Function to add an edge into the graph +public void AddEdge(int v, int w) +{ + _adj[v].AddLast(w); + +} + +// Prints BFS traversal from a given source s +public void BFS(int s) +{ + + // Mark all the vertices as not + // visited(By default set as false) + bool[] visited = new bool[_V]; + for(int i = 0; i < _V; i++) + visited[i] = false; + + // Create a queue for BFS + LinkedList queue = new LinkedList(); + + // Mark the current node as + // visited and enqueue it + visited[s] = true; + queue.AddLast(s); + + while(queue.Any()) + { + + // Dequeue a vertex from queue + // and print it + s = queue.First(); + Console.Write(s + " " ); + queue.RemoveFirst(); + + // Get all adjacent vertices of the + // dequeued vertex s. If a adjacent + // has not been visited, then mark it + // visited and enqueue it + LinkedList list = _adj[s]; + + foreach (var val in list) + { + if (!visited[val]) + { + visited[val] = true; + queue.AddLast(val); + } + } + } +} + +// Driver code +static void Main(string[] args) +{ + Graph g = new Graph(4); + + g.AddEdge(0, 1); + g.AddEdge(0, 2); + g.AddEdge(1, 2); + g.AddEdge(2, 0); + g.AddEdge(2, 3); + g.AddEdge(3, 3); + + Console.Write("Following is Breadth First " + + "Traversal(starting from " + + "vertex 2)\n"); + g.BFS(2); +} +} From b7b7f8e37e3f66af728350ba258b7b436973a115 Mon Sep 17 00:00:00 2001 From: M-Rafay <66524287+M-Rafay@users.noreply.github.com> Date: Tue, 5 Oct 2021 16:10:51 +0500 Subject: [PATCH 005/232] Create BFS.java Breadth First Search --- Java/Search/BFS.java | 81 ++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 81 insertions(+) create mode 100644 Java/Search/BFS.java diff --git a/Java/Search/BFS.java b/Java/Search/BFS.java new file mode 100644 index 0000000..2dd69e3 --- /dev/null +++ b/Java/Search/BFS.java @@ -0,0 +1,81 @@ +// Java program to print BFS traversal from a given source vertex. +// BFS(int s) traverses vertices reachable from s. +import java.io.*; +import java.util.*; + +// This class represents a directed graph using adjacency list +// representation +class Graph +{ + private int V; // No. of vertices + private LinkedList adj[]; //Adjacency Lists + + // Constructor + Graph(int v) + { + V = v; + adj = new LinkedList[v]; + for (int i=0; i queue = new LinkedList(); + + // Mark the current node as visited and enqueue it + visited[s]=true; + queue.add(s); + + while (queue.size() != 0) + { + // Dequeue a vertex from queue and print it + s = queue.poll(); + System.out.print(s+" "); + + // Get all adjacent vertices of the dequeued vertex s + // If a adjacent has not been visited, then mark it + // visited and enqueue it + Iterator i = adj[s].listIterator(); + while (i.hasNext()) + { + int n = i.next(); + if (!visited[n]) + { + visited[n] = true; + queue.add(n); + } + } + } + } + + // Driver method to + public static void main(String args[]) + { + Graph g = new Graph(4); + + g.addEdge(0, 1); + g.addEdge(0, 2); + g.addEdge(1, 2); + g.addEdge(2, 0); + g.addEdge(2, 3); + g.addEdge(3, 3); + + System.out.println("Following is Breadth First Traversal "+ + "(starting from vertex 2)"); + + g.BFS(2); + } +} From 184e3289adfd581b3f93c9fd49ba7ebf75b645d6 Mon Sep 17 00:00:00 2001 From: M-Rafay <66524287+M-Rafay@users.noreply.github.com> Date: Tue, 5 Oct 2021 16:13:10 +0500 Subject: [PATCH 006/232] Create DFS.py Depth First Search --- Python/Searching/DFS.py | 22 ++++++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 Python/Searching/DFS.py diff --git a/Python/Searching/DFS.py b/Python/Searching/DFS.py new file mode 100644 index 0000000..0e8b712 --- /dev/null +++ b/Python/Searching/DFS.py @@ -0,0 +1,22 @@ +# Using a Python dictionary to act as an adjacency list +graph = { + '5' : ['3','7'], + '3' : ['2', '4'], + '7' : ['8'], + '2' : [], + '4' : ['8'], + '8' : [] +} + +visited = set() # Set to keep track of visited nodes of graph. + +def dfs(visited, graph, node): #function for dfs + if node not in visited: + print (node) + visited.add(node) + for neighbour in graph[node]: + dfs(visited, graph, neighbour) + +# Driver Code +print("Following is the Depth-First Search") +dfs(visited, graph, '5') From 455cbd06d6339b0c18d181da13561edb60980e39 Mon Sep 17 00:00:00 2001 From: Sameer-aftab <53132294+Sameer-aftab@users.noreply.github.com> Date: Tue, 5 Oct 2021 18:19:19 +0500 Subject: [PATCH 007/232] Create Data loader for Health Monitorization Data Loader for Health monitorization after collecting data using Health Monitorization code (Available in C++ Directory) you can just get an SD card out from a circuit and then you can use the above Data loader Program to convert raw data into meaning full DATA that can be easily fed to ML model --- Python/Data loader for Health Monitorization | 44 ++++++++++++++++++++ 1 file changed, 44 insertions(+) create mode 100644 Python/Data loader for Health Monitorization diff --git a/Python/Data loader for Health Monitorization b/Python/Data loader for Health Monitorization new file mode 100644 index 0000000..ab03735 --- /dev/null +++ b/Python/Data loader for Health Monitorization @@ -0,0 +1,44 @@ +# Data loader for Health monitarization + + +import pandas as pd # here we have imported Pandas Library + +file_to_load = "E:/DATA - Copy.txt" # here we are having a .txt and we want to Extract data from a txt file split that data and create a CSV for our ML model + +file_to_save = "E:/DATA Processed.csv" # Location where processed Data will be saved + +DF = pd.read_csv( file_to_load, index_col=None ) # class to read + +bpm = DF['bpm'] # Label Declaration +temp_f = DF['temp_f'] # Label Declaration +temp_c = DF['temp_c'] # Label Declaration +temp_date = DF['date'] # Label Declaration + + +Date = [] # Array Decleration +Time = [] # Array Decleration +BPM = [] # Array Decleration +Temp_f = [] # Array Decleration +Temp_c = [] + +for aa in range( len(temp_date) ): + + temp = temp_date[aa] + + try: + + Date.append( temp.split("\t")[1].split("T")[0] ) + Time.append( temp.split("\t")[1].split("T")[1] ) + + BPM.append( bpm[aa] ) + Temp_f.append( temp_f[aa] ) + Temp_c.append( temp_c[aa] ) + + except: + + pass + + +DF = pd.DataFrame( {"Date":Date, "Time":Time, "BPM":BPM, "Temp_f":Temp_f, "Temp_c":Temp_c}, index=None ) # creating a CSV file +DF.to_csv( file_to_save ) # Saving data to CSV file + From dc56228a046abce10b9f916cef7c50e0fe3a0bd8 Mon Sep 17 00:00:00 2001 From: Chetan Thakral <77783033+chetan-2002@users.noreply.github.com> Date: Tue, 5 Oct 2021 19:06:22 +0530 Subject: [PATCH 008/232] Create Insertion_Sort.cpp Added the code for the Insertion Sort algorithm in C++. --- .../Sorting/C++/Insertion_Sort.cpp | 47 +++++++++++++++++++ 1 file changed, 47 insertions(+) create mode 100644 Data Structures/Sorting/C++/Insertion_Sort.cpp diff --git a/Data Structures/Sorting/C++/Insertion_Sort.cpp b/Data Structures/Sorting/C++/Insertion_Sort.cpp new file mode 100644 index 0000000..3eed8a3 --- /dev/null +++ b/Data Structures/Sorting/C++/Insertion_Sort.cpp @@ -0,0 +1,47 @@ +//This file explains everything about Insetion sort +//Intutuion : The basic idea behind Insetion sort is basically the array is virtually split into a sorted and an unsorted part. Values from the unsorted part are picked and placed at the correct position in the sorted array. + +//C++ Code +#include +using namespace std; +//Insertion sort function +void insertionSort(int arr[], int n) +{ + int i, j, key; + for (int i = 1; i < n; i++) + { + //Below code is for picking an element in the unsorted array and placing at its correct position. + key = arr[i]; + j = i - 1; + while (j >= 0 && arr[j] > key) + { + arr[j + 1] = arr[j]; + j--; + } + arr[j + 1] = key; + } +} +//Driver function : +int main() +{ + int n; + cin >> n; + int arr[n]; + //Taking input form the user + for (int i = 0; i < n; i++) + { + cin >> arr[i]; + } + + //calling the insertion sort for sorting the array in-place + insertionSort(arr, n); + + //printing the array + for (int i = 0; i < n; i++) + { + cout << arr[i] << " "; + } +} + +//Time complexity : O(N^2) ,here n is the number of elements in the array +//Auxiliary Space : O(1) \ No newline at end of file From fb5f404bd4077c1be7a783389b1aed43e0761131 Mon Sep 17 00:00:00 2001 From: QuratAin Date: Wed, 6 Oct 2021 11:23:31 +0500 Subject: [PATCH 009/232] added a new code --- Javascript/currentDateandTime.js | 37 ++++++++++++++++++++++++++++++++ Javascript/main.html | 13 +++++++++++ learn2code | 37 ++++++++++++++++++++++++++++++++ 3 files changed, 87 insertions(+) create mode 100644 Javascript/currentDateandTime.js create mode 100644 Javascript/main.html create mode 100644 learn2code diff --git a/Javascript/currentDateandTime.js b/Javascript/currentDateandTime.js new file mode 100644 index 0000000..8d5b027 --- /dev/null +++ b/Javascript/currentDateandTime.js @@ -0,0 +1,37 @@ +// DISPLAYING CURRENT DAY AND TIME +var now = new Date(); +//console.log(now); +var day = now.getDay(); +//console.log(day); + switch (day) { + case 0: + day = "Sunday"; + break; + case 1: + day = "Monday"; + break; + case 2: + day = "Tuesday"; + break; + case 3: + day = "Wednesday"; + break; + case 4: + day = "Thursday"; + break; + case 5: + day = "Friday"; + break; + case 6: + day = "Saturday"; + break; + default: + day = "Invalid"; + break; + } + + var hr = now.getHours(); + var min = now.getMinutes(); + var sec = now.getSeconds(); + document.write("Today is : " + day); + document.write("
Current Time :" + hr + " A.M : " + min + " : " + sec); diff --git a/Javascript/main.html b/Javascript/main.html new file mode 100644 index 0000000..10a09d5 --- /dev/null +++ b/Javascript/main.html @@ -0,0 +1,13 @@ + + + + + + + + Qurat + + + + + \ No newline at end of file diff --git a/learn2code b/learn2code new file mode 100644 index 0000000..3cb3f3b --- /dev/null +++ b/learn2code @@ -0,0 +1,37 @@ +// DISPLAYING CURRENT DATE AND TIME +var now = new Date(); +//console.log(now); +var day = now.getDay(); +//console.log(day); + switch (day) { + case 0: + day = "Sunday"; + break; + case 1: + day = "Monday"; + break; + case 2: + day = "Tuesday"; + break; + case 3: + day = "Wednesday"; + break; + case 4: + day = "Thursday"; + break; + case 5: + day = "Friday"; + break; + case 6: + day = "Saturday"; + break; + default: + day = "Invalid"; + break; + } + + var hr = now.getHours(); + var min = now.getMinutes(); + var sec = now.getSeconds(); + document.write("Today is : " + day); + document.write("
Current Time :" + hr + " A.M : " + min + " : " + sec); From dda55a63161c38ec1a52ef0a112e51db0aa273d5 Mon Sep 17 00:00:00 2001 From: QuratAin Date: Wed, 6 Oct 2021 11:24:35 +0500 Subject: [PATCH 010/232] Added new code --- Javascript/{currentDateandTime.js => currentDayandTime.js} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Javascript/{currentDateandTime.js => currentDayandTime.js} (100%) diff --git a/Javascript/currentDateandTime.js b/Javascript/currentDayandTime.js similarity index 100% rename from Javascript/currentDateandTime.js rename to Javascript/currentDayandTime.js From b3368f8a09dfd6f17531ff5d5629f29231ea94f3 Mon Sep 17 00:00:00 2001 From: Qurat Ul Ain Shoro <65081454+QuratAin@users.noreply.github.com> Date: Wed, 6 Oct 2021 11:32:11 +0500 Subject: [PATCH 011/232] Delete learn2code --- learn2code | 37 ------------------------------------- 1 file changed, 37 deletions(-) delete mode 100644 learn2code diff --git a/learn2code b/learn2code deleted file mode 100644 index 3cb3f3b..0000000 --- a/learn2code +++ /dev/null @@ -1,37 +0,0 @@ -// DISPLAYING CURRENT DATE AND TIME -var now = new Date(); -//console.log(now); -var day = now.getDay(); -//console.log(day); - switch (day) { - case 0: - day = "Sunday"; - break; - case 1: - day = "Monday"; - break; - case 2: - day = "Tuesday"; - break; - case 3: - day = "Wednesday"; - break; - case 4: - day = "Thursday"; - break; - case 5: - day = "Friday"; - break; - case 6: - day = "Saturday"; - break; - default: - day = "Invalid"; - break; - } - - var hr = now.getHours(); - var min = now.getMinutes(); - var sec = now.getSeconds(); - document.write("Today is : " + day); - document.write("
Current Time :" + hr + " A.M : " + min + " : " + sec); From aecde5683dc2094d7c1d46ce1f7f0bbcf590c865 Mon Sep 17 00:00:00 2001 From: rzmk Date: Wed, 6 Oct 2021 03:21:05 -0400 Subject: [PATCH 012/232] Add mergeTwoSortedArrays JS file --- Javascript/mergeTwoSortedArrays.js | 45 ++++++++++++++++++++++++++++++ 1 file changed, 45 insertions(+) create mode 100644 Javascript/mergeTwoSortedArrays.js diff --git a/Javascript/mergeTwoSortedArrays.js b/Javascript/mergeTwoSortedArrays.js new file mode 100644 index 0000000..e9fff35 --- /dev/null +++ b/Javascript/mergeTwoSortedArrays.js @@ -0,0 +1,45 @@ +// Function to merge two sorted (increasing) arrays of numbers + +function mergeTwoSortedArrays(arr1, arr2) { + // Setup pointers (indexes for traversing arrays), and mergedArray array + let ptr1 = 0 + let ptr2 = 0 + let mergedArray = [] + + // Check for empty input + if (arr1.length === 0 && arr2.length === 0) return mergedArray // if both arrays empty return empty mergedArray + if (arr1.length === 0) return arr2 // if arr1 is empty return arr2 + if (arr2.length === 0) return arr1 // if arr2 is empty return arr1 + + // While either pointer is not equal to length of their array: + while (ptr1 < arr1.length && ptr2 < arr2.length) { + // Add arr1[ptr1] to mergedArray array and increase ptr1 by 1 + if (arr1[ptr1] <= arr2[ptr2]) { + mergedArray.push(arr1[ptr1]) + ptr1++ + } + // Add arr2[ptr2] to mergedArray array and increase ptr2 by 1 + else if (arr1[ptr1] > arr2[ptr2]) { + mergedArray.push(arr2[ptr2]) + ptr2++ + } + } + + // If ptr1 hasn't traversed all of arr1, push these remaining arr1 values to mergedArray + while (ptr1 < arr1.length) { + mergedArray.push(arr1[ptr1]) + ptr1++ + } + // If ptr2 hasn't traversed all of arr2, push these remaining arr2 values to mergedArray + while (ptr2 < arr2.length) { + mergedArray.push(arr2[ptr2]) + ptr2++ + } + + return mergedArray +} + +// Driver code to test above +const array1 = [0, 3, 4, 31] +const array2 = [4, 6, 30] +console.log(mergeTwoSortedArrays(array1, array2)) // [0, 3, 4, 4, 6, 30, 31] From b3cec7ec315b516ae3c6d2fa478307717989a520 Mon Sep 17 00:00:00 2001 From: Sameer Aftab <53132294+Sameer-aftab@users.noreply.github.com> Date: Thu, 7 Oct 2021 01:41:05 +0500 Subject: [PATCH 013/232] Create Decision Tree Example A simple Example of a Decision tree to classify between Apples and Oranges we are using only two features 1. Weight ( Heavy/Light ) 2. Bumpy/Soft --- Machine Learning/Decision Tree Example | 12 ++++++++++++ 1 file changed, 12 insertions(+) create mode 100644 Machine Learning/Decision Tree Example diff --git a/Machine Learning/Decision Tree Example b/Machine Learning/Decision Tree Example new file mode 100644 index 0000000..64993d8 --- /dev/null +++ b/Machine Learning/Decision Tree Example @@ -0,0 +1,12 @@ +# Problem Statement For suppose if i want to classify between Apple and oranges so could i ? +# i need to define or i need to clasify that weather its bumpy or soft ? +# so i will be using Supervised Learning where things are predictable + +from sklearn import tree # here i have just imported a decision tree library from its parent package Sklearn also known as scikit learn +features = [[140, 1], [130, 1], [150, 0], [170, 0] ] # here we are inputing 2 features both we compare in integer for making code easy 140,130,150,170 its siply weight of fruit and 0 or 1 shows weather its bumpy or soft + # or in simple we can say that its Training Data +labels = [0, 0, 1, 1] # here are the labels for the above classsifier +clf = tree.DecisionTreeClassifier() # at this step i am invoking a pre trained classifier that is decision tree classifier +clf = clf.fit(features, labels) # here i am fiting data that our classsifier provided according to our Labels and features +print clf.pridict ( [[150, 0]]) # here we input data that tou our model that tell me this is orange or apple answer will be a bool value as we have dectared 0 or 1 + # if it hits 1 so yes it's heavy and bumpy thats what our classifier pridicts From 729175a6ceb36422558f1e933f863dfa85da119a Mon Sep 17 00:00:00 2001 From: PallaviPareek <50631982+PallaviPareek@users.noreply.github.com> Date: Thu, 7 Oct 2021 18:44:38 +0530 Subject: [PATCH 014/232] Machine Learning --- Machine Learning/Machine Learning.pdf | Bin 0 -> 3532498 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 Machine Learning/Machine Learning.pdf diff --git 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zf56YdhbtH33VwcDKd-F#eI1G!6~6QHH`o98^Edzbum7rl)z+|j{ch`rzt}s!;%dA0 z;v8+^4<@eHyN|eFM%Q}SuiRip_q_3JyPg#tZN0K`#`UDU`_A8SJ?-wAbGBW34UV?% z56-`@Rm|=ge#iA&b>DupHO-HHD3wK%c+c+Gurgw|?c;c0J=e+J3Hgug|vY8{B8xwdVV~tsTd6j@r7{o4CCD zY`fmUKidLcPusOt^*iqSxYqfPwq7Sb+IpCGF=l?n)pmVr>u3u-cJxsX{d$Od#I@4b zy}<9>R`9y_`PJ5wo>X|I>f^zyI-XdP4sB+kgLG{>wlAP0Ie}-~a7@|DXTk zfBBo9OaIsZ__zPdzwVLaKm6Oj|9Sjf`$_-q@1Fng_pk5Yzu$lN-~IjH{lmX|{QaMQ z_iz5cBmURF`8WUOum9@*_~-xdPyhUX{nJ1G$G`ros{?xm_}72+um06P{15-`um9@5 zw)XS<^ literal 0 HcmV?d00001 From 9197ce6cd8d94665bb980e8c3d9815f3076f0c3b Mon Sep 17 00:00:00 2001 From: Mahnoor Naveed Date: Fri, 8 Oct 2021 09:58:44 +0500 Subject: [PATCH 015/232] resolved issue add-code-for-javascript --- Javascript/ternaryOperators.js | 23 +++++++++++++++++++++++ 1 file changed, 23 insertions(+) create mode 100644 Javascript/ternaryOperators.js diff --git a/Javascript/ternaryOperators.js b/Javascript/ternaryOperators.js new file mode 100644 index 0000000..791b567 --- /dev/null +++ b/Javascript/ternaryOperators.js @@ -0,0 +1,23 @@ +// Ternary Operator in Javascript + +// Ternary operators are conditional operators and takes three operands. +// condition to check with ? +// an expression to execute if the condition is true with : +// and last expression if the given condition is false + +let a = 4; +let b = 3; + +a == b ? console.log("a and b are equal") : console.log("a and b are not equal"); +// OUTPUT +// a and b are not equal + + +// For Multiple Conditions +a > b + ? console.log("a is greater") + : a < b + ? console.log("b is greater") + : console.log(" a and b are equal"); +// OUTPUT +// a is greater \ No newline at end of file From 7eb38ab58434605af10c54f5805fb200b02888e0 Mon Sep 17 00:00:00 2001 From: Rafay Saif <57329000+rafay840@users.noreply.github.com> Date: Fri, 8 Oct 2021 10:09:11 +0500 Subject: [PATCH 016/232] Create JavaScript program to determine a given year is a leap year i --- ...pt program to determine a given year is a leap year i | 9 +++++++++ 1 file changed, 9 insertions(+) create mode 100644 Javascript/JavaScript program to determine a given year is a leap year i diff --git a/Javascript/JavaScript program to determine a given year is a leap year i b/Javascript/JavaScript program to determine a given year is a leap year i new file mode 100644 index 0000000..aee189d --- /dev/null +++ b/Javascript/JavaScript program to determine a given year is a leap year i @@ -0,0 +1,9 @@ +function leapyear(year) +{ +return (year % 100 === 0) ? (year % 400 === 0) : (year % 4 === 0); +} +console.log(leapyear(2016)); +console.log(leapyear(2000)); +console.log(leapyear(1700)); +console.log(leapyear(1800)); +console.log(leapyear(100)); From 09a1e4ca552c0d116715bde8e0d2b209cf4a4813 Mon Sep 17 00:00:00 2001 From: Rabia-Rajput Date: Sat, 9 Oct 2021 16:27:33 +0500 Subject: [PATCH 017/232] Added conditional struture program --- Python/Searching/conditional_structure.py | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 Python/Searching/conditional_structure.py diff --git a/Python/Searching/conditional_structure.py b/Python/Searching/conditional_structure.py new file mode 100644 index 0000000..e69de29 From 6e16e28f5bfd3fcfe847bc92da5922b8b1d66bd5 Mon Sep 17 00:00:00 2001 From: Rabia-Rajput Date: Sat, 9 Oct 2021 17:01:47 +0500 Subject: [PATCH 018/232] Added conditional structure program in python --- Python/Searching/conditional_structure.py | 23 +++++++++++++++++++++++ 1 file changed, 23 insertions(+) diff --git a/Python/Searching/conditional_structure.py b/Python/Searching/conditional_structure.py index e69de29..727bec9 100644 --- a/Python/Searching/conditional_structure.py +++ b/Python/Searching/conditional_structure.py @@ -0,0 +1,23 @@ +eng,Islam,Maths=-5,-6,-8 +TotalMarks=300 +percent= (eng+Islam+Maths)/TotalMarks*100 +if percent<100 and percent>80: + print("Grade A+") +elif percent<80 and percent>70: + print("Grade A") +elif percent<70 and percent>60: + print("Grade B") +elif percent<60 and percent>50: + print("Grade C") +elif percent<50 and percent>40: + print("Grade D") +elif percent<40 and percent>30: + print("Grade E") +elif percent>0 and percent<30: + print(" Fail" ) +elif percent>100: + print("Percentage can't be greater than 100!") +elif percent<0: + print("Percentage can't be negative!") +else: + print("Something wrong!") \ No newline at end of file From b301c8a7f67bcea2b04db8da2a03c0202964a9f9 Mon Sep 17 00:00:00 2001 From: Rafay Saif <57329000+rafay840@users.noreply.github.com> Date: Sun, 10 Oct 2021 11:59:04 +0500 Subject: [PATCH 019/232] Update JavaScript program to determine a given year is a leap year i --- ... program to determine a given year is a leap year i | 10 +++++++--- 1 file changed, 7 insertions(+), 3 deletions(-) diff --git a/Javascript/JavaScript program to determine a given year is a leap year i b/Javascript/JavaScript program to determine a given year is a leap year i index aee189d..8bd557c 100644 --- a/Javascript/JavaScript program to determine a given year is a leap year i +++ b/Javascript/JavaScript program to determine a given year is a leap year i @@ -1,8 +1,12 @@ -function leapyear(year) +function leapyear(year) //function starts from here { -return (year % 100 === 0) ? (year % 400 === 0) : (year % 4 === 0); +//A year is leap year if following conditions are satisfied: +//Year is multiple of 400. Year is multiple of 4 and not multiple of 100. +//three conditions to find out the leap year +return (year % 100 === 0) ? (year % 400 === 0) : (year % 4 === 0); } -console.log(leapyear(2016)); +//Checking Results and logging it to the console +console.log(leapyear(2016)); console.log(leapyear(2000)); console.log(leapyear(1700)); console.log(leapyear(1800)); From e1c7a2951a53ffc8e2cf9b6dc9594b877aaf8d8b Mon Sep 17 00:00:00 2001 From: Muhammad Hassan <60064591+Mhassanbughio@users.noreply.github.com> Date: Sun, 10 Oct 2021 20:41:16 +0500 Subject: [PATCH 020/232] Update helloworld.dart --- Dart/helloworld.dart | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/Dart/helloworld.dart b/Dart/helloworld.dart index cf959f8..8df9ad6 100644 --- a/Dart/helloworld.dart +++ b/Dart/helloworld.dart @@ -1,3 +1,11 @@ void main() { + var String = "MLSA MUET SZAB"; + var String1 = "mlsa muet szab"; + print(String.toLowerCase()); + print(String.toUpperCase()); + print(String.trim()); + print(String.length); + print(String.isNotEmpty); + print(String.compareTo(String1)); print('Hello World'); } From e5d2e485a3b3ddfbb8ba131d6bc7ad54deb794fe Mon Sep 17 00:00:00 2001 From: Sameer Aftab <53132294+Sameer-aftab@users.noreply.github.com> Date: Sun, 10 Oct 2021 23:23:18 +0500 Subject: [PATCH 021/232] Shuffle a Deck of Card Let's Play some card a python code that can be used to randomly shuffle cards --- Python/Shuffle a Deck of Card | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 Python/Shuffle a Deck of Card diff --git a/Python/Shuffle a Deck of Card b/Python/Shuffle a Deck of Card new file mode 100644 index 0000000..604983b --- /dev/null +++ b/Python/Shuffle a Deck of Card @@ -0,0 +1,15 @@ +# Python program to shuffle a deck of card + +# importing modules +import itertools, random + +# make a deck of cards +deck = list(itertools.product(range(1,14),['Spade','Heart','Diamond','Club'])) + +# shuffle the cards +random.shuffle(deck) + +# draw five cards +print("You got:") +for i in range(5): + print(deck[i][0], "of", deck[i][1]) From a483f288980d33b471ecb12af0c8435860bd87e2 Mon Sep 17 00:00:00 2001 From: Shoaib Khalid Date: Tue, 12 Oct 2021 08:15:35 +0500 Subject: [PATCH 022/232] Create Weirdalgo.cppp --- C++/Weirdalgo.cppp | 18 ++++++++++++++++++ 1 file changed, 18 insertions(+) create mode 100644 C++/Weirdalgo.cppp diff --git a/C++/Weirdalgo.cppp b/C++/Weirdalgo.cppp new file mode 100644 index 0000000..15ce5fa --- /dev/null +++ b/C++/Weirdalgo.cppp @@ -0,0 +1,18 @@ +#include +using namespace std; + +int main() +{ + long long int n; + cin >> n; + cout << n << " "; + while (n > 1) + { + if (n & 1) + n = (3 * n) + 1; + else + n >>= 1; + cout << n << " "; + } + return 0; +} From 9274d9a3dbee49518f4459f863b86cf2dfedbbc5 Mon Sep 17 00:00:00 2001 From: javeriatabassum145 Date: Tue, 12 Oct 2021 10:05:52 +0500 Subject: [PATCH 023/232] Adding Marksheet generator python program --- Python/Marksheet.py | 37 +++++++++++++++++++++++++++++++++++++ 1 file changed, 37 insertions(+) create mode 100644 Python/Marksheet.py diff --git a/Python/Marksheet.py b/Python/Marksheet.py new file mode 100644 index 0000000..47a11b8 --- /dev/null +++ b/Python/Marksheet.py @@ -0,0 +1,37 @@ +Name=input("Enter your name:") +Roll_no=input("Enter your roll no") +Total_marks=425 +English=int(input("Enter you English marks out of 75:")) +Pak_Studies=int(input("Enter you Pakistan Studies marks out of 75:")) +Computer=int(input("Enter you Computer marks out of 100:")) +Chemistry=int(input("Enter you Chemistry marks out of 100:")) +Sindhi=int(input("Enter you Sindhi marks out of 75:")) +Total_obtained_marks=(English+Pak_Studies+Computer+Chemistry+Sindhi) +Percentage=((Total_obtained_marks/Total_marks)*100) +print("*********************************************************** \n") +print("\t \t \" MARKSHEET SSC PART 1 \" \n") +print("Name :",Name) +print("Roll number : ",Roll_no) +print("Subjects Total Obtained ") +print("English Marks "," 75 ",English) +print("Pak Studies Marks "," 75 ",Pak_Studies) +print("Computer Marks "," 100 ",Computer) +print("Chemistry Marks "," 100 ",Chemistry) +print("Sindhi Marks "," 75 ",Sindhi) +print("------------------------------------") +print(" ",Total_marks," ",Total_obtained_marks) +print("\n") +if Percentage <= 100 and Percentage >= 80 : + print("\t\" Your percentage is",Percentage,"and you got A+ Grade \"") +elif Percentage < 80 and Percentage >= 70 : + print("\t\" Your percentage is",Percentage,"and you got A Grade \"") +elif Percentage < 70 and Percentage >= 60 : + print("\t\" Your percentage is",Percentage,"and you got B Grade \"") +elif Percentage < 60 and Percentage >= 50 : + print("\t\" Your percentage is",Percentage,"and you got C Grade \"") +elif Percentage < 50 and Percentage >= 40 : + print("\t\" Your percentage is",Percentage,"and you got D Grade \"") +else: + print("\t\" You are fail \"") + +print("\n ************************************************************") \ No newline at end of file From 22faeb89424cb188f29b62e27f785a4d397cad0f Mon Sep 17 00:00:00 2001 From: javeriatabassum145 Date: Tue, 12 Oct 2021 10:10:28 +0500 Subject: [PATCH 024/232] Adding Minimum Maximum Number generator python program --- .../Min_Max_generator_from_random_numbers.py | 21 +++++++++++++++++++ 1 file changed, 21 insertions(+) create mode 100644 Python/Min_Max_generator_from_random_numbers.py diff --git a/Python/Min_Max_generator_from_random_numbers.py b/Python/Min_Max_generator_from_random_numbers.py new file mode 100644 index 0000000..e048b89 --- /dev/null +++ b/Python/Min_Max_generator_from_random_numbers.py @@ -0,0 +1,21 @@ +import random +#CREATING_RANDOM_LIST +random_list=[] +for i in range(100): + random_list.append(random.randint(1,100)) +print(random_list) +#MINIMUM_NUMBER +minimum_no=[] +minimum_no.append(min(random_list)) +print("Minimum value in the list is : " , minimum_no) +#MAXIMUM_NUMBER +maximum_no=[] +maximum_no.append(max(random_list)) +print("Maximum value in the list is : " , maximum_no) +#INDEX +print("Index of minimum value in list is : " , random_list.index(min(random_list))) +print("Index of maximum value in list is : " , random_list.index(max(random_list))) +#MEAN_OF_VALUES +mean_of_randomlist=sum(random_list)/len(random_list) +print("Mean of values of list : " , mean_of_randomlist) + From 1a2c946e89ba9d4e689c4a72d9d6b7cda63ddc3a Mon Sep 17 00:00:00 2001 From: Javeria Tabassum <50498182+javeriatabassum145@users.noreply.github.com> Date: Wed, 13 Oct 2021 11:44:31 +0500 Subject: [PATCH 025/232] Update Min_Max_generator_from_random_numbers.py --- .../Min_Max_generator_from_random_numbers.py | 21 +++++++++++++++++-- 1 file changed, 19 insertions(+), 2 deletions(-) diff --git a/Python/Min_Max_generator_from_random_numbers.py b/Python/Min_Max_generator_from_random_numbers.py index e048b89..4946848 100644 --- a/Python/Min_Max_generator_from_random_numbers.py +++ b/Python/Min_Max_generator_from_random_numbers.py @@ -4,18 +4,35 @@ for i in range(100): random_list.append(random.randint(1,100)) print(random_list) +#Output : +#[96, 32, 32, 10, 97, 45, 54, 41, 34, 99, 41, 97, 79, 72, 83, 8, 1, 91, 86, 83, 7, 99, 23, 59, 83, 70, 22, 58, 30, 46, 25, 45, 93, 46, 57, 19, 81, 77, 41, 11, 80, 87, 14, 42, 21, 28, 54, 27, 47, 33, 8, 73, 74, 15, 75, 73, 28, 57, 69, 33, 53, 40, 31, 18, 49, 64, 38, 74, 20, 48, 61, 37, 54, 97, 1, 62, 29, 18, 14, 84, 83, 73, 98, 84, 58, 65, 8, 74, 72, 43, 20, 50, 14, 34, 27, 50, 87, 21, 29, 52] + #MINIMUM_NUMBER minimum_no=[] minimum_no.append(min(random_list)) print("Minimum value in the list is : " , minimum_no) +#Output : +#Minimum value in the list is : [1] + #MAXIMUM_NUMBER maximum_no=[] maximum_no.append(max(random_list)) print("Maximum value in the list is : " , maximum_no) -#INDEX +#Output : +#Maximum value in the list is : [99] + +#INDEX OF MIN VALUE print("Index of minimum value in list is : " , random_list.index(min(random_list))) +#Output : +#Index of minimum value in list is : 16 + +#INDEX OF MAX VALUE print("Index of maximum value in list is : " , random_list.index(max(random_list))) +#Output : +#Index of maximum value in list is : 9 + #MEAN_OF_VALUES mean_of_randomlist=sum(random_list)/len(random_list) print("Mean of values of list : " , mean_of_randomlist) - +#Output : +#Mean of values of list : 50.45 From cf738432320545350f7cf706b1988b94fb1684b2 Mon Sep 17 00:00:00 2001 From: Javeria Tabassum <50498182+javeriatabassum145@users.noreply.github.com> Date: Wed, 13 Oct 2021 11:54:02 +0500 Subject: [PATCH 026/232] Update Marksheet.py --- Python/Marksheet.py | 47 ++++++++++++++++++++++++++++++++++++++++++++- 1 file changed, 46 insertions(+), 1 deletion(-) diff --git a/Python/Marksheet.py b/Python/Marksheet.py index 47a11b8..b94de4c 100644 --- a/Python/Marksheet.py +++ b/Python/Marksheet.py @@ -1,14 +1,34 @@ +#Generating Marksheet of a Student + +#Taking input of name and roll number Name=input("Enter your name:") +#Enter your name:Javeria Roll_no=input("Enter your roll no") +#Enter your roll no01 + +#Total marks Total_marks=425 + +#Taking input of all subjects one by one English=int(input("Enter you English marks out of 75:")) +#Enter you English marks out of 75:60 Pak_Studies=int(input("Enter you Pakistan Studies marks out of 75:")) +#Enter you Pakistan Studies marks out of 75:70 Computer=int(input("Enter you Computer marks out of 100:")) +#Enter you Computer marks out of 100:100 Chemistry=int(input("Enter you Chemistry marks out of 100:")) +#Enter you Chemistry marks out of 100:90 Sindhi=int(input("Enter you Sindhi marks out of 75:")) +#Enter you Sindhi marks out of 75:65 + +#Total obtained marks is calculated by adding all subject marks Total_obtained_marks=(English+Pak_Studies+Computer+Chemistry+Sindhi) + +#Calculating percentage by using percentage formula Percentage=((Total_obtained_marks/Total_marks)*100) + print("*********************************************************** \n") + print("\t \t \" MARKSHEET SSC PART 1 \" \n") print("Name :",Name) print("Roll number : ",Roll_no) @@ -21,6 +41,25 @@ print("------------------------------------") print(" ",Total_marks," ",Total_obtained_marks) print("\n") + +""" +*********************************************************** + + " MARKSHEET SSC PART 1 " + +Name : Javeria +Roll number : 01 +Subjects Total Obtained +English Marks 75 60 +Pak Studies Marks 75 70 +Computer Marks 100 100 +Chemistry Marks 100 90 +Sindhi Marks 75 65 +------------------------------------ + 425 385 +""" + +#Printing the Percentage and calculating the grades if Percentage <= 100 and Percentage >= 80 : print("\t\" Your percentage is",Percentage,"and you got A+ Grade \"") elif Percentage < 80 and Percentage >= 70 : @@ -33,5 +72,11 @@ print("\t\" Your percentage is",Percentage,"and you got D Grade \"") else: print("\t\" You are fail \"") + +print("\n ************************************************************") + +""" + " Your percentage is 90.58823529411765 and you got A+ Grade " -print("\n ************************************************************") \ No newline at end of file + ************************************************************ + """ From 8f4d6cdadccfedfe6de270e915cbe6f87dbd8cd2 Mon Sep 17 00:00:00 2001 From: Javeria Tabassum <50498182+javeriatabassum145@users.noreply.github.com> Date: Wed, 13 Oct 2021 17:48:32 +0500 Subject: [PATCH 027/232] Update Marksheet.py --- Python/Marksheet.py | 47 ++++++++++++++++++++++++++++++++++++++++++++- 1 file changed, 46 insertions(+), 1 deletion(-) diff --git a/Python/Marksheet.py b/Python/Marksheet.py index 47a11b8..b94de4c 100644 --- a/Python/Marksheet.py +++ b/Python/Marksheet.py @@ -1,14 +1,34 @@ +#Generating Marksheet of a Student + +#Taking input of name and roll number Name=input("Enter your name:") +#Enter your name:Javeria Roll_no=input("Enter your roll no") +#Enter your roll no01 + +#Total marks Total_marks=425 + +#Taking input of all subjects one by one English=int(input("Enter you English marks out of 75:")) +#Enter you English marks out of 75:60 Pak_Studies=int(input("Enter you Pakistan Studies marks out of 75:")) +#Enter you Pakistan Studies marks out of 75:70 Computer=int(input("Enter you Computer marks out of 100:")) +#Enter you Computer marks out of 100:100 Chemistry=int(input("Enter you Chemistry marks out of 100:")) +#Enter you Chemistry marks out of 100:90 Sindhi=int(input("Enter you Sindhi marks out of 75:")) +#Enter you Sindhi marks out of 75:65 + +#Total obtained marks is calculated by adding all subject marks Total_obtained_marks=(English+Pak_Studies+Computer+Chemistry+Sindhi) + +#Calculating percentage by using percentage formula Percentage=((Total_obtained_marks/Total_marks)*100) + print("*********************************************************** \n") + print("\t \t \" MARKSHEET SSC PART 1 \" \n") print("Name :",Name) print("Roll number : ",Roll_no) @@ -21,6 +41,25 @@ print("------------------------------------") print(" ",Total_marks," ",Total_obtained_marks) print("\n") + +""" +*********************************************************** + + " MARKSHEET SSC PART 1 " + +Name : Javeria +Roll number : 01 +Subjects Total Obtained +English Marks 75 60 +Pak Studies Marks 75 70 +Computer Marks 100 100 +Chemistry Marks 100 90 +Sindhi Marks 75 65 +------------------------------------ + 425 385 +""" + +#Printing the Percentage and calculating the grades if Percentage <= 100 and Percentage >= 80 : print("\t\" Your percentage is",Percentage,"and you got A+ Grade \"") elif Percentage < 80 and Percentage >= 70 : @@ -33,5 +72,11 @@ print("\t\" Your percentage is",Percentage,"and you got D Grade \"") else: print("\t\" You are fail \"") + +print("\n ************************************************************") + +""" + " Your percentage is 90.58823529411765 and you got A+ Grade " -print("\n ************************************************************") \ No newline at end of file + ************************************************************ + """ From b54ba82ddc15cd51516e52cd7ec6c9676e945cc1 Mon Sep 17 00:00:00 2001 From: Muskan12350 <66747331+Muskan12350@users.noreply.github.com> Date: Wed, 13 Oct 2021 22:49:42 +0500 Subject: [PATCH 028/232] Added for loop example Printed numbers from 1 to 10 and even numbers from 0 to 10 --- Dart/forloop.dart | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 Dart/forloop.dart diff --git a/Dart/forloop.dart b/Dart/forloop.dart new file mode 100644 index 0000000..4a46a1d --- /dev/null +++ b/Dart/forloop.dart @@ -0,0 +1,15 @@ +void main () { + // Print numbers from 1 to 10 + for(var i=1; i<=10; i++){ + print(i); + } + + print(""); + + // Print even numbers from 0 to 10 + for(var j=0; j<=10; j++){ + if(j%2==0){ + print(j); + } + } +} From 76752a52c58b170372548b44f0edadc8d1c44bee Mon Sep 17 00:00:00 2001 From: Shoaib Khalid Date: Fri, 15 Oct 2021 16:23:09 +0500 Subject: [PATCH 029/232] Update Weirdalgo.cppp added problem question with example and input/output. --- C++/Weirdalgo.cppp | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) diff --git a/C++/Weirdalgo.cppp b/C++/Weirdalgo.cppp index 15ce5fa..dd49fda 100644 --- a/C++/Weirdalgo.cppp +++ b/C++/Weirdalgo.cppp @@ -1,3 +1,7 @@ + +//Consider an algorithm that takes as input a positive integer n. If n is even, the algorithm divides it by two, and if n is odd, the algorithm multiplies it by three and adds one. The algorithm repeats this, until n is one. For example, the sequence for n=3 is as follows: +//3→10→5→16→8→4→2→1 + #include using namespace std; @@ -16,3 +20,24 @@ int main() } return 0; } + + +//Input + +//The only input line contains an integer n. + +//utput + +P//rint a line that contains all values of n during the algorithm. + +//Constraints +//1≤n≤106 + + +//Example + +//Input: +//3 + +//Output: +//3 10 5 16 8 4 2 1 From 7380fd9cb60769b69bb1b0b1afe34d882f1f54b0 Mon Sep 17 00:00:00 2001 From: Muskan12350 <66747331+Muskan12350@users.noreply.github.com> Date: Sun, 17 Oct 2021 15:33:32 +0500 Subject: [PATCH 030/232] Switch Case Code Added an example on switch case --- switchcase.dart | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) create mode 100644 switchcase.dart diff --git a/switchcase.dart b/switchcase.dart new file mode 100644 index 0000000..08943f1 --- /dev/null +++ b/switchcase.dart @@ -0,0 +1,19 @@ +void main () { + var number = 100; + switch(number){ + case 8: + print('Number is 8'); + break; + + case 1: + print('Number is 1'); + break; + + case 5: + print('Number is 5'); + break; + default: + print("None of the number is matched"); + } + +} From 70da9c3e131f76823f27884fac1628d6c4ed5a04 Mon Sep 17 00:00:00 2001 From: Muskan12350 <66747331+Muskan12350@users.noreply.github.com> Date: Sun, 17 Oct 2021 15:43:45 +0500 Subject: [PATCH 031/232] Conditional Expressions Code Added an example on conditional expressions --- Dart/conditional expressions.dart | 6 ++++++ 1 file changed, 6 insertions(+) create mode 100644 Dart/conditional expressions.dart diff --git a/Dart/conditional expressions.dart b/Dart/conditional expressions.dart new file mode 100644 index 0000000..ed7eb55 --- /dev/null +++ b/Dart/conditional expressions.dart @@ -0,0 +1,6 @@ +void main () { + + var num = 13; + num%12==0 ? print("$num is Even") : print("$num is Odd"); + +} From 4b07bc20e21c21364cfcc22bffce3566f270f8f8 Mon Sep 17 00:00:00 2001 From: Muskan12350 <66747331+Muskan12350@users.noreply.github.com> Date: Sun, 17 Oct 2021 15:51:25 +0500 Subject: [PATCH 032/232] Continue Statement Code Added an example on continue statement --- continue statement.dart | 8 ++++++++ 1 file changed, 8 insertions(+) create mode 100644 continue statement.dart diff --git a/continue statement.dart b/continue statement.dart new file mode 100644 index 0000000..6378f07 --- /dev/null +++ b/continue statement.dart @@ -0,0 +1,8 @@ +void main () { + for(var i =1; i<=10; i++){ + if(i==5) { + continue; + } + print(i); + } +} From c0033848381e54cb23239cd0e1de8d72454e75c6 Mon Sep 17 00:00:00 2001 From: Muskan12350 <66747331+Muskan12350@users.noreply.github.com> Date: Sun, 17 Oct 2021 15:56:32 +0500 Subject: [PATCH 033/232] Break Statement Code Added an example on break statement --- Dart/break statement.dart | 8 ++++++++ 1 file changed, 8 insertions(+) create mode 100644 Dart/break statement.dart diff --git a/Dart/break statement.dart b/Dart/break statement.dart new file mode 100644 index 0000000..41b7a15 --- /dev/null +++ b/Dart/break statement.dart @@ -0,0 +1,8 @@ +void main () { + for(var i =1; i<=10; i++){ + print(i); + if(i==7){ + break; + } + } +} From 556e4b0dd603cc60ccf92ed848afdad3a27b38a0 Mon Sep 17 00:00:00 2001 From: hibarajput <50821244+hibarajput@users.noreply.github.com> Date: Sun, 17 Oct 2021 04:10:28 -0700 Subject: [PATCH 034/232] Create Data Science_Libraries --- Data Science_Libraries | 11 +++++++++++ 1 file changed, 11 insertions(+) create mode 100644 Data Science_Libraries diff --git a/Data Science_Libraries b/Data Science_Libraries new file mode 100644 index 0000000..3e26aae --- /dev/null +++ b/Data Science_Libraries @@ -0,0 +1,11 @@ +NUMPY: Numpy stands for numerical python. It is python's extension module and math library.Numpy id for all mathematical operations, arrays, matrices, and lists. +You can install numpy as: pip install numpy + +Pandas: Pandas is a library created to help developers work with "labeled" and "relational" data intuitively. It's based on two main data structures: "Series" and "Data Frames." +You can install Pandas as: pip install manager and then pip install pandas + +Matplotlib: An alternative of MATLAB and extensiom of numpy that is used for plotting and data visualization. +You can install Matplotlib as: install matplotlib + +Seaborn: Seaborn is an open-source Python library built on top of matplotlib. It is used for data visualization and exploratory data analysis. +You can install it as: pip install seaborn From 60c20cdc0565d98e308d25f8893f3222b43cf13e Mon Sep 17 00:00:00 2001 From: hibarajput <50821244+hibarajput@users.noreply.github.com> Date: Sun, 17 Oct 2021 04:20:58 -0700 Subject: [PATCH 035/232] Create Delete operator Program --- Data Structures/Delete operator Program | 30 +++++++++++++++++++++++++ 1 file changed, 30 insertions(+) create mode 100644 Data Structures/Delete operator Program diff --git a/Data Structures/Delete operator Program b/Data Structures/Delete operator Program new file mode 100644 index 0000000..7551c1a --- /dev/null +++ b/Data Structures/Delete operator Program @@ -0,0 +1,30 @@ +Memory allocated dynamically is only needed during specific periods of time within a program; once it is no longer needed, it can be freed so that the memory becomes available again for other requests of dynamic memory. +This is the purpose of operator delete. The following is the sample program: + +include +#include +using namespace std; + +int main () +{ + int i,n; + int * p; + cout << "How many numbers would you like to type? "; + cin >> i; + p= new int[i]; + if (p == nullptr) + cout << "Error: memory could not be allocated"; + else + { + for (n=0; n> p[n]; + } + cout << "You have entered: "; + for (n=0; n Date: Sun, 17 Oct 2021 04:26:25 -0700 Subject: [PATCH 036/232] Create Recursion --- Data Structures/Recursion | 9 +++++++++ 1 file changed, 9 insertions(+) create mode 100644 Data Structures/Recursion diff --git a/Data Structures/Recursion b/Data Structures/Recursion new file mode 100644 index 0000000..cffe370 --- /dev/null +++ b/Data Structures/Recursion @@ -0,0 +1,9 @@ +A Recursive task is a task that is defined in the terms of itself. Recursive function calls itself. +With each invocation, the problem is reduced to a smaller task (reducing case) until the task arrives at some terminal case. A recursive function has two parts: +1. Terminal/base case. a stopping conditions. +2. Reducing case/recursive step an expression of the computation or definition in terms of itself. +Syntax: +if (terminal_condition) + terminal_case +else + reducing_case From ac5c46c0996ff153ea02e3398533b0ed7a77525f Mon Sep 17 00:00:00 2001 From: hibarajput <50821244+hibarajput@users.noreply.github.com> Date: Sun, 17 Oct 2021 04:30:58 -0700 Subject: [PATCH 037/232] Create max heap algorithms --- Data Structures/max heap algorithms | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) create mode 100644 Data Structures/max heap algorithms diff --git a/Data Structures/max heap algorithms b/Data Structures/max heap algorithms new file mode 100644 index 0000000..298a04c --- /dev/null +++ b/Data Structures/max heap algorithms @@ -0,0 +1,16 @@ +Max heap constuction algorithm +It is about how to derive an algorithm for max heap by inserting one element at a time. +At any point of time, heap must maintain its property. While insertion, we assume that we are inserting a node in an already heapified tree. +Step 1 − Create a new node at the end of heap. +Step 2 − Assign new value to the node. +Step 3 − Compare the value of this child node with its parent. +Step 4 − If value of parent is less than child, then swap them. +Step 5 − Repeat step 3 & 4 until Heap property holds. + + +Max heap delete algorithm +Step 1 − Remove root node. +Step 2 − Move the last element of last level to root. +Step 3 − Compare the value of this child node with its parent. +Step 4 − If value of parent is less than child, then swap them. +Step 5 − Repeat step 3 & 4 until Heap property holds. From 55838aaedee18bdee406f0f0a9de1606913cfd55 Mon Sep 17 00:00:00 2001 From: Shoaib Khalid Date: Sun, 17 Oct 2021 20:20:49 +0500 Subject: [PATCH 038/232] Create NumberSpiral.cpp --- C++/NumberSpiral.cpp | 77 ++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 77 insertions(+) create mode 100644 C++/NumberSpiral.cpp diff --git a/C++/NumberSpiral.cpp b/C++/NumberSpiral.cpp new file mode 100644 index 0000000..f937bca --- /dev/null +++ b/C++/NumberSpiral.cpp @@ -0,0 +1,77 @@ +//Problem link: https://cses.fi/problemset/task/1071/ +//Example + +//Input: +//3 +//2 3 +//1 1 +//4 2 + +//Output: +//8 +//1 +//15 + +#include + +using namespace std; + +int main() +{ + + int T; + cin >> T; + + long long i; + long long j; + while (T--) + { + cin >> i >> j; + + long long x = 0; + if (i == j) + { + x = (i * i) - (i - 1); + } + else if (i == 1 && j % 2 == 0) + { //even + x = ((j - 1) * (j - 1)) + 1; + } + else if (i == 1 && j % 2 != 0) + { //odd j=3// matrix[0][2] + x = j * j; + } + //firs column + else if (j == 1 && i % 2 == 0) + { //even + x = i * i; + } + else if (j == 1 && i % 2 != 0) + { //odd + x = (i - 1) * (i - 1) + 1; + //rest of the j matrix + } + else if (j > i && j % 2 != 0) + { // j=3 and i=2; matrix[1][2] + // matrix[i - 1][j - 1] = matrix[i - 2][j - 1] - 1; + x = (j * j) - (i - 1); + } + else if (j > i && j % 2 == 0) + { // j=3 and i=2; matrix[1][2]) + // matrix[i - 1][j - 1] = matrix[i - 2][j - 1] + 1; + x = (j - 1) * (j - 1) + (i); + } + //rest of the i matrix + else if (i > j && i % 2 != 0) + { // i=3 and j=2; matrix[2][1] + // matrix[i - 1][j - 1] = matrix[i - 1][j - 2] + 1; + x = (i - 1) * (i - 1) + j; + } + else if (i > j && i % 2 == 0) + { // i=3 and j=2; matrix[2][1] + x = (i * i) - (j - 1); + } + + cout << x << endl; + } +} From b614dae4dc2ccdcd1200f99b6ee1f8ebf124557f Mon Sep 17 00:00:00 2001 From: Shoaib Khalid Date: Sun, 17 Oct 2021 20:25:40 +0500 Subject: [PATCH 039/232] Create TowSets.cpp --- C++/TowSets.cpp | 87 +++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 87 insertions(+) create mode 100644 C++/TowSets.cpp diff --git a/C++/TowSets.cpp b/C++/TowSets.cpp new file mode 100644 index 0000000..0978586 --- /dev/null +++ b/C++/TowSets.cpp @@ -0,0 +1,87 @@ +//Problem link: https://cses.fi/problemset/task/1092/ + + +//Example 1 + +//Input: +//7 +//Output: +//YES +//4 +//1 2 4 7 +//3 +//3 5 6 + + +//Example 2 + +//Input: +//6 +//Output: +//NO + +#include + +using namespace std; + +#define ll long long int + +int main() +{ + + ll n; + cin >> n; + vector S1; + vector S2; + + ll total = 0; + for (int i = 1; i <= n; i++) + { + total += i; + } + + ll half = total / 2; + ll gSum = 0; + + if (total%2==0) + { + cout << "YES" << endl; + + for (ll i = n; i >= 1; i--) + { + + if (gSum + i <= half) + { + gSum += i; + S1.push_back(i); + } + else + { + S2.push_back(i); + } + } + + ll S1_size = S1.size(); + ll S2_size = S2.size(); + + cout << S2_size << endl; + for (int i = S2_size - 1; i >= 0; i--) + { + cout << S2[i] << " "; + } + cout << endl; + + cout << S1_size << endl; + for (int i = S1_size - 1; i >= 0; i--) + { + cout << S1[i] << " "; + } + cout << endl; + } + else + { + cout << "NO" << endl; + } + + return 0; +} From 0926b2016983518ce83df4078f13676628515778 Mon Sep 17 00:00:00 2001 From: Punit Sakre Date: Mon, 18 Oct 2021 11:56:39 +0530 Subject: [PATCH 040/232] Added code files for Javascript --- Javascript/ArrayReversal.js | 2 ++ Javascript/CharacterSearchInString.js | 7 +++++++ ...layElementsContainingParticularCharacter.js | 6 ++++++ Javascript/MinutesToSeconds.js | 3 +++ Javascript/SearchingElementInArrayOfStrings.js | 18 ++++++++++++++++++ 5 files changed, 36 insertions(+) create mode 100644 Javascript/ArrayReversal.js create mode 100644 Javascript/CharacterSearchInString.js create mode 100644 Javascript/DisplayElementsContainingParticularCharacter.js create mode 100644 Javascript/MinutesToSeconds.js create mode 100644 Javascript/SearchingElementInArrayOfStrings.js diff --git a/Javascript/ArrayReversal.js b/Javascript/ArrayReversal.js new file mode 100644 index 0000000..8963640 --- /dev/null +++ b/Javascript/ArrayReversal.js @@ -0,0 +1,2 @@ +let revarr = ['Bus', 'Star', 'Hybrid', 'Ring', 'Tree']; +console.log(revarr.reverse()); diff --git a/Javascript/CharacterSearchInString.js b/Javascript/CharacterSearchInString.js new file mode 100644 index 0000000..632e97d --- /dev/null +++ b/Javascript/CharacterSearchInString.js @@ -0,0 +1,7 @@ +let str = 'Program to search for a particular character in a string'; + +// To print the index of the charater +console.log(str.indexOf('f')); + +// To print that the character is in the string or not +console.log(str.includes('s')); diff --git a/Javascript/DisplayElementsContainingParticularCharacter.js b/Javascript/DisplayElementsContainingParticularCharacter.js new file mode 100644 index 0000000..89c434d --- /dev/null +++ b/Javascript/DisplayElementsContainingParticularCharacter.js @@ -0,0 +1,6 @@ +let arr = ['Speaker', 'Monitor', 'Keyboard', 'Mouse', 'Printer']; +for (var i = 0; i < arr.length; i++) { + if (arr[i].includes('a')) { + console.log(arr[i]); + } +} diff --git a/Javascript/MinutesToSeconds.js b/Javascript/MinutesToSeconds.js new file mode 100644 index 0000000..b1b8c5e --- /dev/null +++ b/Javascript/MinutesToSeconds.js @@ -0,0 +1,3 @@ +let min = prompt('Enter minutes :'); +const sec = 60; +console.log('Minutes to Seconds : ' + min * sec + ' seconds'); diff --git a/Javascript/SearchingElementInArrayOfStrings.js b/Javascript/SearchingElementInArrayOfStrings.js new file mode 100644 index 0000000..43053e4 --- /dev/null +++ b/Javascript/SearchingElementInArrayOfStrings.js @@ -0,0 +1,18 @@ +let str = ['Java', 'Python', 'Javascript', 'Django', 'Angular', 'Nodejs']; +let val = prompt('Enter Element name :'); + +// Using array function +console.log(str.includes(val)); + +// Using if statement +if (str.includes(val)) { + console.log(val); +} else { + console.log('Element not found!!!'); +} + +// for (let j=0; j Date: Mon, 18 Oct 2021 19:36:29 +0530 Subject: [PATCH 041/232] Made appropriate changes as asked --- Javascript/ArrayReversal.js | 9 +++++++++ Javascript/CharacterSearchInString.js | 6 ++++++ .../DisplayElementsContainingParticularCharacter.js | 4 ++++ Javascript/MinutesToSeconds.js | 4 +++- Javascript/SearchingElementInArrayOfStrings.js | 12 +++++++----- 5 files changed, 29 insertions(+), 6 deletions(-) diff --git a/Javascript/ArrayReversal.js b/Javascript/ArrayReversal.js index 8963640..db2e16f 100644 --- a/Javascript/ArrayReversal.js +++ b/Javascript/ArrayReversal.js @@ -1,2 +1,11 @@ let revarr = ['Bus', 'Star', 'Hybrid', 'Ring', 'Tree']; console.log(revarr.reverse()); + +// Output +// (5) ['Tree', 'Ring', 'Hybrid', 'Star', 'Bus'] +// 0: "Tree" +// 1: "Ring" +// 2: "Hybrid" +// 3: "Star" +// 4: "Bus" +// length: 5 diff --git a/Javascript/CharacterSearchInString.js b/Javascript/CharacterSearchInString.js index 632e97d..42ee3ce 100644 --- a/Javascript/CharacterSearchInString.js +++ b/Javascript/CharacterSearchInString.js @@ -3,5 +3,11 @@ let str = 'Program to search for a particular character in a string'; // To print the index of the charater console.log(str.indexOf('f')); +// Output +// 18 + // To print that the character is in the string or not console.log(str.includes('s')); + +// Output +// true diff --git a/Javascript/DisplayElementsContainingParticularCharacter.js b/Javascript/DisplayElementsContainingParticularCharacter.js index 89c434d..396efa0 100644 --- a/Javascript/DisplayElementsContainingParticularCharacter.js +++ b/Javascript/DisplayElementsContainingParticularCharacter.js @@ -4,3 +4,7 @@ for (var i = 0; i < arr.length; i++) { console.log(arr[i]); } } + +// Output +// Speaker +// Keyboard diff --git a/Javascript/MinutesToSeconds.js b/Javascript/MinutesToSeconds.js index b1b8c5e..7f021ac 100644 --- a/Javascript/MinutesToSeconds.js +++ b/Javascript/MinutesToSeconds.js @@ -1,3 +1,5 @@ -let min = prompt('Enter minutes :'); +let min = prompt('Enter minutes :'); // Input : 5 const sec = 60; console.log('Minutes to Seconds : ' + min * sec + ' seconds'); + +// Output : 300 seconds diff --git a/Javascript/SearchingElementInArrayOfStrings.js b/Javascript/SearchingElementInArrayOfStrings.js index 43053e4..ee0247f 100644 --- a/Javascript/SearchingElementInArrayOfStrings.js +++ b/Javascript/SearchingElementInArrayOfStrings.js @@ -11,8 +11,10 @@ if (str.includes(val)) { console.log('Element not found!!!'); } -// for (let j=0; j Date: Tue, 19 Oct 2021 23:39:06 +0500 Subject: [PATCH 042/232] Create Play_Tennis_Decision_Tree.py --- Python/Play_Tennis_Decision_Tree.py | 36 +++++++++++++++++++++++++++++ 1 file changed, 36 insertions(+) create mode 100644 Python/Play_Tennis_Decision_Tree.py diff --git a/Python/Play_Tennis_Decision_Tree.py b/Python/Play_Tennis_Decision_Tree.py new file mode 100644 index 0000000..61e3d48 --- /dev/null +++ b/Python/Play_Tennis_Decision_Tree.py @@ -0,0 +1,36 @@ +# Load libraries +import numpy as np +import pandas as pd +from sklearn import metrics # Import scikit-learn metrics module for accuracy calculation +from sklearn import preprocessing +from sklearn.model_selection import train_test_split +from sklearn.tree import DecisionTreeClassifier # import the classifier + +df = pd.read_csv("Play Tennis.csv") + + +string_to_int = preprocessing.LabelEncoder() # encode your data +df = df.apply(string_to_int.fit_transform) # fit and transform it +# To divide our data into attribute set and Label: +feature_cols = ['Outlook', 'Temprature', 'Humidity', 'Wind'] +X = df[feature_cols] # contains the attribute +y = df.Play_Tennis # contains the label + +# To divide our data into training and test sets: + +X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2) + +# perform training + +classifier = DecisionTreeClassifier(criterion="entropy") # create a classifier object +classifier.fit(X_train, y_train) # fit the classifier with X and Y data +# Predict the response for test dataset +y_pred = classifier.predict(X_test) +print(y_pred) +pred = classifier.predict([[0, 1, 0, 1]]) +print(pred) + +# Model Accuracy, how often is the classifier correct? + + +print("Accuracy:", metrics.accuracy_score(y_test, y_pred)) From c9e8f62e070c99b2c8882ef5dfb2281507ef02ef Mon Sep 17 00:00:00 2001 From: Madni Mahenti <77567956+madniraza23@users.noreply.github.com> Date: Wed, 20 Oct 2021 13:47:04 +0500 Subject: [PATCH 043/232] Create selectionSort.cs --- C#/Sorting/selectionSort.cs | 46 +++++++++++++++++++++++++++++++++++++ 1 file changed, 46 insertions(+) create mode 100644 C#/Sorting/selectionSort.cs diff --git a/C#/Sorting/selectionSort.cs b/C#/Sorting/selectionSort.cs new file mode 100644 index 0000000..b817a0c --- /dev/null +++ b/C#/Sorting/selectionSort.cs @@ -0,0 +1,46 @@ +// C# program for implementation +// of Selection Sort +using System; + +class GFG +{ + static void sort(int []arr) + { + int n = arr.Length; + + // One by one move boundary of unsorted subarray + for (int i = 0; i < n - 1; i++) + { + // Find the minimum element in unsorted array + int min_idx = i; + for (int j = i + 1; j < n; j++) + if (arr[j] < arr[min_idx]) + min_idx = j; + + // Swap the found minimum element with the first + // element + int temp = arr[min_idx]; + arr[min_idx] = arr[i]; + arr[i] = temp; + } + } + + // Prints the array + static void printArray(int []arr) + { + int n = arr.Length; + for (int i=0; i Date: Wed, 20 Oct 2021 13:49:43 +0500 Subject: [PATCH 044/232] Create BubbleSort --- C#/Sorting/BubbleSort | 39 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 39 insertions(+) create mode 100644 C#/Sorting/BubbleSort diff --git a/C#/Sorting/BubbleSort b/C#/Sorting/BubbleSort new file mode 100644 index 0000000..a2ebd12 --- /dev/null +++ b/C#/Sorting/BubbleSort @@ -0,0 +1,39 @@ +// C# program for implementation +// of Bubble Sort +using System; + +class GFG +{ + static void bubbleSort(int []arr) + { + int n = arr.Length; + for (int i = 0; i < n - 1; i++) + for (int j = 0; j < n - i - 1; j++) + if (arr[j] > arr[j + 1]) + { + // swap temp and arr[i] + int temp = arr[j]; + arr[j] = arr[j + 1]; + arr[j + 1] = temp; + } + } + + /* Prints the array */ + static void printArray(int []arr) + { + int n = arr.Length; + for (int i = 0; i < n; ++i) + Console.Write(arr[i] + " "); + Console.WriteLine(); + } + + // Driver method + public static void Main() + { + int []arr = {64, 34, 25, 12, 22, 11, 90}; + bubbleSort(arr); + Console.WriteLine("Sorted array"); + printArray(arr); + } + +} From 3c8253e83d6444a2e2dbbac2c525194853c2f6c1 Mon Sep 17 00:00:00 2001 From: Madni Mahenti <77567956+madniraza23@users.noreply.github.com> Date: Wed, 20 Oct 2021 13:51:04 +0500 Subject: [PATCH 045/232] Create BitonicSort --- C#/Sorting/BitonicSort | 86 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 86 insertions(+) create mode 100644 C#/Sorting/BitonicSort diff --git a/C#/Sorting/BitonicSort b/C#/Sorting/BitonicSort new file mode 100644 index 0000000..de0e45f --- /dev/null +++ b/C#/Sorting/BitonicSort @@ -0,0 +1,86 @@ +/* C# Program for Bitonic Sort. Note that this program +works only when size of input is a power of 2. */ +using System; + +/*The parameter dir indicates the sorting direction, ASCENDING +or DESCENDING; if (a[i] > a[j]) agrees with the direction, +then a[i] and a[j] are interchanged.*/ +class GFG +{ + /* To swap values */ + static void Swap(ref T lhs, ref T rhs) + { + T temp; + temp = lhs; + lhs = rhs; + rhs = temp; + } + public static void compAndSwap(int[] a, int i, int j, int dir) + { + int k; + if((a[i]>a[j])) + k=1; + else + k=0; + if (dir==k) + Swap(ref a[i],ref a[j]); + } + + /*It recursively sorts a bitonic sequence in ascending order, + if dir = 1, and in descending order otherwise (means dir=0). + The sequence to be sorted starts at index position low, + the parameter cnt is the number of elements to be sorted.*/ + public static void bitonicMerge(int[] a, int low, int cnt, int dir) + { + if (cnt>1) + { + int k = cnt/2; + for (int i=low; i1) + { + int k = cnt/2; + + // sort in ascending order since dir here is 1 + bitonicSort(a, low, k, 1); + + // sort in descending order since dir here is 0 + bitonicSort(a, low+k, k, 0); + + // Will merge whole sequence in ascending order + // since dir=1. + bitonicMerge(a,low, cnt, dir); + } + } + + /* Caller of bitonicSort for sorting the entire array of + length N in ASCENDING order */ + public static void sort(int[] a, int N, int up) + { + bitonicSort(a,0, N, up); + } + + // Driver code + static void Main() + { + int[] a= {3, 7, 4, 8, 6, 2, 1, 5}; + int N = a.Length; + + int up = 1; // means sort in ascending order + sort(a, N, up); + + Console.Write("Sorted array: \n"); + for (int i=0; i Date: Wed, 20 Oct 2021 13:52:10 +0500 Subject: [PATCH 046/232] Create PancakeSorting --- C#/Sorting/PancakeSorting | 97 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 97 insertions(+) create mode 100644 C#/Sorting/PancakeSorting diff --git a/C#/Sorting/PancakeSorting b/C#/Sorting/PancakeSorting new file mode 100644 index 0000000..2d4bf43 --- /dev/null +++ b/C#/Sorting/PancakeSorting @@ -0,0 +1,97 @@ +// C# program to sort array using +// pancake sort +using System; + +class GFG { + + // Reverses arr[0..i] + static void flip(int []arr, int i) + { + int temp, start = 0; + while (start < i) + { + temp = arr[start]; + arr[start] = arr[i]; + arr[i] = temp; + start++; + i--; + } + } + + // Returns index of the + // maximum element in + // arr[0..n-1] + static int findMax(int []arr, int n) + { + int mi, i; + for (mi = 0, i = 0; i < n; ++i) + if (arr[i] > arr[mi]) + mi = i; + + return mi; + } + + // The main function that + // sorts given array using + // flip operations + static int pancakeSort(int []arr, int n) + { + + // Start from the complete + // array and one by one + // reduce current size by one + for (int curr_size = n; curr_size > 1; + --curr_size) + { + + // Find index of the + // maximum element in + // arr[0..curr_size-1] + int mi = findMax(arr, curr_size); + + // Move the maximum element + // to end of current array + // if it's not already at + // the end + if (mi != curr_size - 1) + { + // To move at the end, + // first move maximum + // number to beginning + flip(arr, mi); + + // Now move the maximum + // number to end by + // reversing current array + flip(arr, curr_size - 1); + } + } + + return 0; + } + + // Utility function to print + // array arr[] + static void printArray(int []arr, + int arr_size) + { + for (int i = 0; i < arr_size; i++) + Console.Write(arr[i] + " "); + + Console.Write(""); + } + + // Driver function to check for + // above functions + public static void Main () + { + int []arr = {23, 10, 20, 11, 12, 6, 7}; + int n = arr.Length; + + pancakeSort(arr, n); + + Console.Write("Sorted Array: "); + printArray(arr, n); + } +} + From f28c70297860e64defeeca78efe2b7c46d92f24d Mon Sep 17 00:00:00 2001 From: Shoaib Date: Wed, 20 Oct 2021 18:38:03 +0500 Subject: [PATCH 047/232] Create Permutation.cpp --- C++/Permutation.cpp | 53 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 53 insertions(+) create mode 100644 C++/Permutation.cpp diff --git a/C++/Permutation.cpp b/C++/Permutation.cpp new file mode 100644 index 0000000..f68be37 --- /dev/null +++ b/C++/Permutation.cpp @@ -0,0 +1,53 @@ +#include +using namespace std; + + + +int main() +{ + long long n; + cin >>n; + long long p[n]; + int count=0; + int flag = 0; + long long i; + for(i=1; i<=n; i++) + { + if(i%2==0) + { + p[count] = i; + count++; + } + } + for( i=1; i<=n; i++) + { + if(i%2!=0) + { + + p[count] =i; + count++; + } + } + + + for( i=0; i Date: Thu, 21 Oct 2021 10:38:50 +0500 Subject: [PATCH 048/232] Update Permutation.cpp added comments for a better understanding of code. --- C++/Permutation.cpp | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/C++/Permutation.cpp b/C++/Permutation.cpp index f68be37..1ddf023 100644 --- a/C++/Permutation.cpp +++ b/C++/Permutation.cpp @@ -6,11 +6,14 @@ using namespace std; int main() { long long n; + //take input; n is the number whom permutation has to find cin >>n; long long p[n]; int count=0; int flag = 0; long long i; + + // loop to add even numbers inside p[]. for(i=1; i<=n; i++) { if(i%2==0) @@ -19,6 +22,8 @@ int main() count++; } } + + // loop to add odd numbers inside p[] for( i=1; i<=n; i++) { if(i%2!=0) @@ -30,6 +35,7 @@ int main() } + // Now by comparing elements inside p[], we find out if the permutation of n is possible or not. for( i=0; i Date: Fri, 22 Oct 2021 09:53:41 +0500 Subject: [PATCH 049/232] Create palindrome.cpp --- C++/palindrome.cpp | 28 ++++++++++++++++++++++++++++ 1 file changed, 28 insertions(+) create mode 100644 C++/palindrome.cpp diff --git a/C++/palindrome.cpp b/C++/palindrome.cpp new file mode 100644 index 0000000..64841a3 --- /dev/null +++ b/C++/palindrome.cpp @@ -0,0 +1,28 @@ +#include +using namespace std; + +int main() +{ + int n, num, digit, rev = 0; + + cout << "Enter a positive number: "; + cin >> num; + + n = num; + + do + { + digit = num % 10; + rev = (rev * 10) + digit; + num = num / 10; + } while (num != 0); + + cout << " The reverse of the number is: " << rev << endl; + + if (n == rev) + cout << " The number is a palindrome."; + else + cout << " The number is not a palindrome."; + + return 0; +} From a4776afbf3772cfe909ecb1b0158733d7c13de37 Mon Sep 17 00:00:00 2001 From: Aneeq Khurram <59835270+aneeqkhurram007@users.noreply.github.com> Date: Fri, 22 Oct 2021 09:55:51 +0500 Subject: [PATCH 050/232] Sorting Algorithm --- Javascript/sorting algorithm | 21 +++++++++++++++++++++ 1 file changed, 21 insertions(+) create mode 100644 Javascript/sorting algorithm diff --git a/Javascript/sorting algorithm b/Javascript/sorting algorithm new file mode 100644 index 0000000..f8af55b --- /dev/null +++ b/Javascript/sorting algorithm @@ -0,0 +1,21 @@ +function bubbleSort(arr){ + + //Outer pass + for(let i = 0; i < arr.length; i++){ + + //Inner pass + for(let j = 0; j < arr.length - i - 1; j++){ + + //Value comparison using ascending order + + if(arr[j + 1] < arr[j]){ + + //Swapping + [arr[j + 1],arr[j]] = [arr[j],arr[j + 1]] + } + } + }; + return arr; +}; + +console.log(bubbleSort([5,3,8,4,6])); From e0549d05d0a1632e67d9c98b9bb29bd806a7c99a Mon Sep 17 00:00:00 2001 From: Bilal Ahmad <50988601+billypentester@users.noreply.github.com> Date: Fri, 22 Oct 2021 09:57:50 +0500 Subject: [PATCH 051/232] create LCM.js --- Javascript/LCM.js | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 Javascript/LCM.js diff --git a/Javascript/LCM.js b/Javascript/LCM.js new file mode 100644 index 0000000..eda5544 --- /dev/null +++ b/Javascript/LCM.js @@ -0,0 +1,25 @@ +function lcm_more_than_two_numbers(input_array) { + if (toString.call(input_array) !== "[object Array]") + return false; + var r1 = 0, r2 = 0; + var l = input_array.length; + for(i=0;i Date: Fri, 22 Oct 2021 09:58:12 +0500 Subject: [PATCH 052/232] Create fibonacci.py --- Python/fibonacci.py | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 Python/fibonacci.py diff --git a/Python/fibonacci.py b/Python/fibonacci.py new file mode 100644 index 0000000..ffbdece --- /dev/null +++ b/Python/fibonacci.py @@ -0,0 +1,25 @@ +# Program to display the Fibonacci sequence up to n-th term + +nterms = int(input("How many terms? ")) + +# first two terms +n1, n2 = 0, 1 +count = 0 + +# check if the number of terms is valid +if nterms <= 0: + print("Please enter a positive integer") +# if there is only one term, return n1 +elif nterms == 1: + print("Fibonacci sequence upto",nterms,":") + print(n1) +# generate fibonacci sequence +else: + print("Fibonacci sequence:") + while count < nterms: + print(n1) + nth = n1 + n2 + # update values + n1 = n2 + n2 = nth + count += 1 From 0f7f9b50a11763ee3d1b37e4cd94ac376c8dec0b Mon Sep 17 00:00:00 2001 From: Bilal Ahmad <50988601+billypentester@users.noreply.github.com> Date: Fri, 22 Oct 2021 10:02:59 +0500 Subject: [PATCH 053/232] crerate nthroot.js --- Javascript/nthroot.js | 13 +++++++++++++ 1 file changed, 13 insertions(+) create mode 100644 Javascript/nthroot.js diff --git a/Javascript/nthroot.js b/Javascript/nthroot.js new file mode 100644 index 0000000..c753e87 --- /dev/null +++ b/Javascript/nthroot.js @@ -0,0 +1,13 @@ +function nthroot(x, n) + { + ng = n % 2; + if((ng == 1) || x<0) + x = -x; + var r = Math.pow(x, 1 / n); + n = Math.pow(r, n); + + if(Math.abs(x - n) < 1 && (x > 0 === n > 0)) + return ng ? -r : r; + } +console.log(nthroot(64, 2)); +console.log(nthroot(64, -2)); From f964fa4dee034e815213058587f6e9f9d2676aae Mon Sep 17 00:00:00 2001 From: Bilal Ahmad <50988601+billypentester@users.noreply.github.com> Date: Fri, 22 Oct 2021 10:04:17 +0500 Subject: [PATCH 054/232] created nthroot.js --- Javascript/nthroot.js | 13 +++++++++++++ 1 file changed, 13 insertions(+) create mode 100644 Javascript/nthroot.js diff --git a/Javascript/nthroot.js b/Javascript/nthroot.js new file mode 100644 index 0000000..c753e87 --- /dev/null +++ b/Javascript/nthroot.js @@ -0,0 +1,13 @@ +function nthroot(x, n) + { + ng = n % 2; + if((ng == 1) || x<0) + x = -x; + var r = Math.pow(x, 1 / n); + n = Math.pow(r, n); + + if(Math.abs(x - n) < 1 && (x > 0 === n > 0)) + return ng ? -r : r; + } +console.log(nthroot(64, 2)); +console.log(nthroot(64, -2)); From 3a3aa2dd772ac13e4ab069c6af11841cae7040e0 Mon Sep 17 00:00:00 2001 From: Kainat-Mahar <72600530+Kainat-Mahar@users.noreply.github.com> Date: Fri, 22 Oct 2021 13:27:31 +0500 Subject: [PATCH 055/232] Create Heart Disease Predictions --- Data Science/Heart Disease Predictions | 1 + 1 file changed, 1 insertion(+) create mode 100644 Data Science/Heart Disease Predictions diff --git a/Data Science/Heart Disease Predictions b/Data Science/Heart Disease Predictions new file mode 100644 index 0000000..8b13789 --- /dev/null +++ b/Data Science/Heart Disease Predictions @@ -0,0 +1 @@ + From adf3becf6171bb464cefa90fef91d70d724d273a Mon Sep 17 00:00:00 2001 From: Kainat-Mahar <72600530+Kainat-Mahar@users.noreply.github.com> Date: Fri, 22 Oct 2021 13:32:10 +0500 Subject: [PATCH 056/232] Heart Disease Prediction Using SVM --- Data Science/DSA_Project_on_SVM.ipynb | 1461 +++++++++++++++++++++++++ Data Science/dataset.csv | 304 +++++ 2 files changed, 1765 insertions(+) create mode 100644 Data Science/DSA_Project_on_SVM.ipynb create mode 100644 Data Science/dataset.csv diff --git a/Data Science/DSA_Project_on_SVM.ipynb b/Data Science/DSA_Project_on_SVM.ipynb new file mode 100644 index 0000000..70a208b --- /dev/null +++ b/Data Science/DSA_Project_on_SVM.ipynb @@ -0,0 +1,1461 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "DSA Project on SVM.ipynb", + "provenance": [], + "collapsed_sections": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "HbbGwEA47kDj" + }, + "source": [ + "Importing Libraries" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "roYk-Q3s6yVd" + }, + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib as plt\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7v8I08N58jcA" + }, + "source": [ + "Data Wrangling" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Ttq0PCrZ8i_d", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 202 + }, + "outputId": "9302ee67-8287-4ddb-d345-c7df0832f6cd" + }, + "source": [ + "data = pd.read_csv('dataset.csv')\n", + "\n", + "data.head(5)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " age sex cp trestbps chol fbs ... exang oldpeak slope ca thal target\n", + "0 63 1 3 145 233 1 ... 0 2.3 0 0 1 1\n", + "1 37 1 2 130 250 0 ... 0 3.5 0 0 2 1\n", + "2 41 0 1 130 204 0 ... 0 1.4 2 0 2 1\n", + "3 56 1 1 120 236 0 ... 0 0.8 2 0 2 1\n", + "4 57 0 0 120 354 0 ... 1 0.6 2 0 2 1\n", + "\n", + "[5 rows x 14 columns]" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 2 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "8PJwi9rc8tp-", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 86 + }, + "outputId": "1502b50b-b9bb-489e-8cc1-59b056494afe" + }, + "source": [ + "print(\"(Rows, columns): \" + str(data.shape))\n", + "data.columns " + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "(Rows, columns): (303, 14)\n" + ], + "name": "stdout" + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Index(['age', 'sex', 'cp', 'trestbps', 'chol', 'fbs', 'restecg', 'thalach',\n", + " 'exang', 'oldpeak', 'slope', 'ca', 'thal', 'target'],\n", + " dtype='object')" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 3 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "PxY79ivL80gB", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 277 + }, + "outputId": "0d181b67-b67d-4816-f470-93a0efb77fc1" + }, + "source": [ + "data.nunique(axis=0)# returns the number of unique values for each variable." + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "age 41\n", + "sex 2\n", + "cp 4\n", + "trestbps 49\n", + "chol 152\n", + "fbs 2\n", + "restecg 3\n", + "thalach 91\n", + "exang 2\n", + "oldpeak 40\n", + "slope 3\n", + "ca 5\n", + "thal 4\n", + "target 2\n", + "dtype: int64" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 4 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "wn63NFgG88dd", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 478 + }, + "outputId": "cebe20f1-48e7-48ba-f425-ab5e5061f138" + }, + "source": [ + "#summarizes the count, mean, standard deviation, min, and max for numeric variables.\n", + "data.describe().transpose()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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countmeanstdmin25%50%75%max
age303.054.3663379.08210129.047.555.061.077.0
sex303.00.6831680.4660110.00.01.01.01.0
cp303.00.9669971.0320520.00.01.02.03.0
trestbps303.0131.62376217.53814394.0120.0130.0140.0200.0
chol303.0246.26402651.830751126.0211.0240.0274.5564.0
fbs303.00.1485150.3561980.00.00.00.01.0
restecg303.00.5280530.5258600.00.01.01.02.0
thalach303.0149.64686522.90516171.0133.5153.0166.0202.0
exang303.00.3267330.4697940.00.00.01.01.0
oldpeak303.01.0396041.1610750.00.00.81.66.2
slope303.01.3993400.6162260.01.01.02.02.0
ca303.00.7293731.0226060.00.00.01.04.0
thal303.02.3135310.6122770.02.02.03.03.0
target303.00.5445540.4988350.00.01.01.01.0
\n", + "
" + ], + "text/plain": [ + " count mean std min 25% 50% 75% max\n", + "age 303.0 54.366337 9.082101 29.0 47.5 55.0 61.0 77.0\n", + "sex 303.0 0.683168 0.466011 0.0 0.0 1.0 1.0 1.0\n", + "cp 303.0 0.966997 1.032052 0.0 0.0 1.0 2.0 3.0\n", + "trestbps 303.0 131.623762 17.538143 94.0 120.0 130.0 140.0 200.0\n", + "chol 303.0 246.264026 51.830751 126.0 211.0 240.0 274.5 564.0\n", + "fbs 303.0 0.148515 0.356198 0.0 0.0 0.0 0.0 1.0\n", + "restecg 303.0 0.528053 0.525860 0.0 0.0 1.0 1.0 2.0\n", + "thalach 303.0 149.646865 22.905161 71.0 133.5 153.0 166.0 202.0\n", + "exang 303.0 0.326733 0.469794 0.0 0.0 0.0 1.0 1.0\n", + "oldpeak 303.0 1.039604 1.161075 0.0 0.0 0.8 1.6 6.2\n", + "slope 303.0 1.399340 0.616226 0.0 1.0 1.0 2.0 2.0\n", + "ca 303.0 0.729373 1.022606 0.0 0.0 0.0 1.0 4.0\n", + "thal 303.0 2.313531 0.612277 0.0 2.0 2.0 3.0 3.0\n", + "target 303.0 0.544554 0.498835 0.0 0.0 1.0 1.0 1.0" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 5 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "a6ushlSP9EJP", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 277 + }, + "outputId": "686cd529-f551-4856-b651-0bef8b688819" + }, + "source": [ + "# Display the Missing Values\n", + "\n", + "print(data.isna().sum())" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "age 0\n", + "sex 0\n", + "cp 0\n", + "trestbps 0\n", + "chol 0\n", + "fbs 0\n", + "restecg 0\n", + "thalach 0\n", + "exang 0\n", + "oldpeak 0\n", + "slope 0\n", + "ca 0\n", + "thal 0\n", + "target 0\n", + "dtype: int64\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "IXOMCsIl9JpJ", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 612 + }, + "outputId": "bc94bd22-562c-4124-cfae-f96fce7036b2" + }, + "source": [ + "# calculate correlation matrix\n", + "\n", + "corr = data.corr()\n", + "plt.subplots(figsize=(15,10))\n", + "sns.heatmap(corr, xticklabels=corr.columns, yticklabels=corr.columns, annot=True, cmap=sns.diverging_palette(220, 20, as_cmap=True))\n", + "sns.heatmap(corr, xticklabels=corr.columns,\n", + " yticklabels=corr.columns, \n", + " annot=True,\n", + " cmap=sns.diverging_palette(220, 20, as_cmap=True))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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agesexcptrestbpscholfbsrestecgthalachexangoldpeakslopecathaltarget
count165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.0
mean52.4969700.5636361.375758129.303030242.2303030.1393940.593939158.4666670.1393940.5830301.5939390.3636362.1212121.0
std9.5506510.4974440.95222216.16961353.5528720.3474120.50481819.1742760.3474120.7806830.5936350.8488940.4657520.0
min29.0000000.0000000.00000094.000000126.0000000.0000000.00000096.0000000.0000000.0000000.0000000.0000000.0000001.0
25%44.0000000.0000001.000000120.000000208.0000000.0000000.000000149.0000000.0000000.0000001.0000000.0000002.0000001.0
50%52.0000001.0000002.000000130.000000234.0000000.0000001.000000161.0000000.0000000.2000002.0000000.0000002.0000001.0
75%59.0000001.0000002.000000140.000000267.0000000.0000001.000000172.0000000.0000001.0000002.0000000.0000002.0000001.0
max76.0000001.0000003.000000180.000000564.0000001.0000002.000000202.0000001.0000004.2000002.0000004.0000003.0000001.0
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" + ], + "text/plain": [ + " age sex cp ... ca thal target\n", + "count 165.000000 165.000000 165.000000 ... 165.000000 165.000000 165.0\n", + "mean 52.496970 0.563636 1.375758 ... 0.363636 2.121212 1.0\n", + "std 9.550651 0.497444 0.952222 ... 0.848894 0.465752 0.0\n", + "min 29.000000 0.000000 0.000000 ... 0.000000 0.000000 1.0\n", + "25% 44.000000 0.000000 1.000000 ... 0.000000 2.000000 1.0\n", + "50% 52.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", + "75% 59.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", + "max 76.000000 1.000000 3.000000 ... 4.000000 3.000000 1.0\n", + "\n", + "[8 rows x 14 columns]" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 8 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "iNdi8cwN9wmU", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 294 + }, + "outputId": "67693c50-5cd2-45e4-b4d5-0d136fca57ee" + }, + "source": [ + "# Filtering data by NEGATIVE Heart Disease patient\n", + "pos_data = data[data['target']==0]\n", + "pos_data.describe()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " age sex cp ... ca thal target\n", + "count 138.000000 138.000000 138.000000 ... 138.000000 138.000000 138.0\n", + "mean 56.601449 0.826087 0.478261 ... 1.166667 2.543478 0.0\n", + "std 7.962082 0.380416 0.905920 ... 1.043460 0.684762 0.0\n", + "min 35.000000 0.000000 0.000000 ... 0.000000 0.000000 0.0\n", + "25% 52.000000 1.000000 0.000000 ... 0.000000 2.000000 0.0\n", + "50% 58.000000 1.000000 0.000000 ... 1.000000 3.000000 0.0\n", + "75% 62.000000 1.000000 0.000000 ... 2.000000 3.000000 0.0\n", + "max 77.000000 1.000000 3.000000 ... 4.000000 3.000000 0.0\n", + "\n", + "[8 rows x 14 columns]" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 9 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DbzJPYQV9lPu" + }, + "source": [ + "Assign the 13 features to X, & the last column to our classification predictor, y" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "FjMSVs94960R" + }, + "source": [ + "X = data.iloc[:, :-1].values\n", + "y = data.iloc[:, -1].values" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "kYwABWTb-AJx" + }, + "source": [ + "Split: the data set into the Training set and Test set" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "DlgSSiYE99tk" + }, + "source": [ + "from sklearn.model_selection import train_test_split\n", + "x_train, x_test, y_train, y_test = train_test_split(X,y,test_size = 0.2, random_state = 1)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "MuoZklrK-FJY" + }, + "source": [ + "Normalize: Standardizing the data a mean of 0 and a standard deviation of 1." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "rGfWqZir-LLs" + }, + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "sc = StandardScaler()\n", + "x_train = sc.fit_transform(x_train)\n", + "x_test = sc.transform(x_test)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CwBqTSrI-WVv" + }, + "source": [ + "Modeling /Training" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "HuFEqvOwUEv2" + }, + "source": [ + "SVM" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "ZZuuA6LZUGMh", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 86 + }, + "outputId": "fc104267-1538-4ae7-f813-c56acf982ff2" + }, + "source": [ + "from sklearn.svm import SVC\n", + "svm_model = SVC(kernel='rbf', gamma=0.1, C=1.0)\n", + "svm_model.fit(x_train, y_train)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "SVC(C=1.0, break_ties=False, cache_size=200, class_weight=None, coef0=0.0,\n", + " decision_function_shape='ovr', degree=3, gamma=0.1, kernel='rbf',\n", + " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", + " tol=0.001, verbose=False)" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 16 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "N_Wm-g1uUL8a", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 433 + }, + "outputId": "45d1eee2-3416-4e6a-de87-566a51c15977" + }, + "source": [ + "print_score(svm_model, x_train, y_train, x_test, y_test, train=True)\n", + "print_score(svm_model, x_train, y_train, x_test, y_test, train=False)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Train Result:\n", + "================================================\n", + "Accuracy Score: 94.63%\n", + "_______________________________________________\n", + "Classification Report:\tPrecision Score: 93.53%\n", + "\t\t\tRecall Score: 97.01%\n", + "\t\t\tF1 score: 95.24%\n", + "_______________________________________________\n", + "Confusion Matrix: \n", + " [[ 99 9]\n", + " [ 4 130]]\n", + "\n", + "Test Result:\n", + "================================================\n", + "Accuracy Score: 75.41%\n", + "_______________________________________________\n", + "Classification Report:\tPrecision Score: 72.22%\n", + "\t\t\tRecall Score: 83.87%\n", + "\t\t\tF1 score: 77.61%\n", + "_______________________________________________\n", + "Confusion Matrix: \n", + " [[20 10]\n", + " [ 5 26]]\n", + "\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Ux2nH9abUfmP", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 110 + }, + "outputId": "0beb292f-8e56-40d4-a462-8e514b55c020" + }, + "source": [ + "test_score = accuracy_score(y_test, svm_model.predict(x_test)) * 100\n", + "train_score = accuracy_score(y_train, svm_model.predict(x_train)) * 100\n", + "\n", + "results_df = pd.DataFrame(data=[[\"Support Vector Machine\", train_score, test_score]], \n", + " columns=['Model', 'Training Accuracy %', 'Testing Accuracy %'])\n", + "results_df = results_df.append(results_df, ignore_index=True)\n", + "results_df" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Model Training Accuracy % Testing Accuracy %\n", + "0 Support Vector Machine 94.628099 75.409836\n", + "1 Support Vector Machine 94.628099 75.409836" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 18 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5b-zU0o_XkLa" + }, + "source": [ + "**TUNED MODELS**" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "3HzudoDKXvUk" + }, + "source": [ + "Support Vector Machine Hyperparameter Tuning\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "RyotIOTbXpKw" + }, + "source": [ + "from sklearn.model_selection import GridSearchCV\n", + "\n", + "svm_model = SVC(kernel='rbf', gamma=0.1, C=1.0)\n", + "\n", + "params = {\"C\":(0.1, 0.5, 1, 2, 5, 10, 20), \n", + " \"gamma\":(0.001, 0.01, 0.1, 0.25, 0.5, 0.75, 1), \n", + " \"kernel\":('linear', 'poly', 'rbf')}\n", + "\n", + "svm_grid = GridSearchCV(svm_model, params, n_jobs=-1, cv=5, verbose=1, scoring=\"accuracy\")" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "IFE-CLC2Xe96", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 433 + }, + "outputId": "0d282465-96c7-4f34-ced4-d346266ff938" + }, + "source": [ + "svm_model = SVC(C=5, gamma=0.01, kernel='rbf')\n", + "svm_model.fit(x_train, y_train)\n", + "\n", + "print_score(svm_model, x_train, y_train, x_test, y_test, train=True)\n", + "print_score(svm_model, x_train, y_train, x_test, y_test, train=False)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Train Result:\n", + "================================================\n", + "Accuracy Score: 87.60%\n", + "_______________________________________________\n", + "Classification Report:\tPrecision Score: 85.62%\n", + "\t\t\tRecall Score: 93.28%\n", + "\t\t\tF1 score: 89.29%\n", + "_______________________________________________\n", + "Confusion Matrix: \n", + " [[ 87 21]\n", + " [ 9 125]]\n", + "\n", + "Test Result:\n", + "================================================\n", + "Accuracy Score: 75.41%\n", + "_______________________________________________\n", + "Classification Report:\tPrecision Score: 72.22%\n", + "\t\t\tRecall Score: 83.87%\n", + "\t\t\tF1 score: 77.61%\n", + "_______________________________________________\n", + "Confusion Matrix: \n", + " [[20 10]\n", + " [ 5 26]]\n", + "\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "enx2NHZdYayj", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 80 + }, + "outputId": "f99fe4cb-70d2-4da6-96ea-026696bc9dac" + }, + "source": [ + "test_score = accuracy_score(y_test, svm_model.predict(x_test)) * 100\n", + "train_score = accuracy_score(y_train, svm_model.predict(x_train)) * 100\n", + "\n", + "tuning_results_df = pd.DataFrame(data=[[\"Tuned Support Vector Machine\", train_score, test_score]], \n", + " columns=['Model', 'Training Accuracy %', 'Testing Accuracy %'])\n", + "tuning_results_df" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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ModelTraining Accuracy %Testing Accuracy %
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2a79468d90ccde0312b2b8af4e5a1a7dd7558abe Mon Sep 17 00:00:00 2001 From: Kainat-Mahar <72600530+Kainat-Mahar@users.noreply.github.com> Date: Fri, 22 Oct 2021 13:32:44 +0500 Subject: [PATCH 057/232] Delete Heart Disease Predictions --- Data Science/Heart Disease Predictions | 1 - 1 file changed, 1 deletion(-) delete mode 100644 Data Science/Heart Disease Predictions diff --git a/Data Science/Heart Disease Predictions b/Data Science/Heart Disease Predictions deleted file mode 100644 index 8b13789..0000000 --- a/Data Science/Heart Disease Predictions +++ /dev/null @@ -1 +0,0 @@ - From f2f7f57a84fca10d187133fd2f143dfe95270b7a Mon Sep 17 00:00:00 2001 From: Kainat-Mahar <72600530+Kainat-Mahar@users.noreply.github.com> Date: Fri, 22 Oct 2021 14:10:47 +0500 Subject: [PATCH 058/232] Add files via upload --- Data Science/DSA_Project_on_KNN.ipynb | 1302 +++++++++++++++++++++++++ 1 file changed, 1302 insertions(+) create mode 100644 Data Science/DSA_Project_on_KNN.ipynb diff --git a/Data Science/DSA_Project_on_KNN.ipynb b/Data Science/DSA_Project_on_KNN.ipynb new file mode 100644 index 0000000..de9a3f8 --- /dev/null +++ b/Data Science/DSA_Project_on_KNN.ipynb @@ -0,0 +1,1302 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "DSA_Project on KNN.ipynb", + "provenance": [], + "collapsed_sections": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "HbbGwEA47kDj" + }, + "source": [ + "Importing Libraries" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "roYk-Q3s6yVd", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 72 + }, + "outputId": "b8676cc9-bad4-4aae-faf1-b2d77076f0bc" + }, + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib as plt\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "/usr/local/lib/python3.6/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n", + " import pandas.util.testing as tm\n" + ], + "name": "stderr" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7v8I08N58jcA" + }, + "source": [ + "Data Wrangling" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Ttq0PCrZ8i_d", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 197 + }, + "outputId": "9d02d850-01ce-443f-e093-96dc6516e825" + }, + "source": [ + "data = pd.read_csv('dataset.csv')\n", + "\n", + "data.head(5)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " age sex cp trestbps chol fbs ... exang oldpeak slope ca thal target\n", + "0 63 1 3 145 233 1 ... 0 2.3 0 0 1 1\n", + "1 37 1 2 130 250 0 ... 0 3.5 0 0 2 1\n", + "2 41 0 1 130 204 0 ... 0 1.4 2 0 2 1\n", + "3 56 1 1 120 236 0 ... 0 0.8 2 0 2 1\n", + "4 57 0 0 120 354 0 ... 1 0.6 2 0 2 1\n", + "\n", + "[5 rows x 14 columns]" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 2 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "8PJwi9rc8tp-", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 87 + }, + "outputId": "162e9962-f103-495f-dadb-b99ca69d4724" + }, + "source": [ + "print(\"(Rows, columns): \" + str(data.shape))\n", + "data.columns " + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "(Rows, columns): (303, 14)\n" + ], + "name": "stdout" + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Index(['age', 'sex', 'cp', 'trestbps', 'chol', 'fbs', 'restecg', 'thalach',\n", + " 'exang', 'oldpeak', 'slope', 'ca', 'thal', 'target'],\n", + " dtype='object')" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 3 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "PxY79ivL80gB", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 283 + }, + "outputId": "bd6ed805-91a5-449f-d065-2d71b4b53924" + }, + "source": [ + "data.nunique(axis=0)# returns the number of unique values for each variable." + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "age 41\n", + "sex 2\n", + "cp 4\n", + "trestbps 49\n", + "chol 152\n", + "fbs 2\n", + "restecg 3\n", + "thalach 91\n", + "exang 2\n", + "oldpeak 40\n", + "slope 3\n", + "ca 5\n", + "thal 4\n", + "target 2\n", + "dtype: int64" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 4 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "wn63NFgG88dd", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 467 + }, + "outputId": "80187cdd-c809-4a94-96a1-2822be8c7844" + }, + "source": [ + "#summarizes the count, mean, standard deviation, min, and max for numeric variables.\n", + "data.describe().transpose()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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countmeanstdmin25%50%75%max
age303.054.3663379.08210129.047.555.061.077.0
sex303.00.6831680.4660110.00.01.01.01.0
cp303.00.9669971.0320520.00.01.02.03.0
trestbps303.0131.62376217.53814394.0120.0130.0140.0200.0
chol303.0246.26402651.830751126.0211.0240.0274.5564.0
fbs303.00.1485150.3561980.00.00.00.01.0
restecg303.00.5280530.5258600.00.01.01.02.0
thalach303.0149.64686522.90516171.0133.5153.0166.0202.0
exang303.00.3267330.4697940.00.00.01.01.0
oldpeak303.01.0396041.1610750.00.00.81.66.2
slope303.01.3993400.6162260.01.01.02.02.0
ca303.00.7293731.0226060.00.00.01.04.0
thal303.02.3135310.6122770.02.02.03.03.0
target303.00.5445540.4988350.00.01.01.01.0
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" + ], + "text/plain": [ + " count mean std min 25% 50% 75% max\n", + "age 303.0 54.366337 9.082101 29.0 47.5 55.0 61.0 77.0\n", + "sex 303.0 0.683168 0.466011 0.0 0.0 1.0 1.0 1.0\n", + "cp 303.0 0.966997 1.032052 0.0 0.0 1.0 2.0 3.0\n", + "trestbps 303.0 131.623762 17.538143 94.0 120.0 130.0 140.0 200.0\n", + "chol 303.0 246.264026 51.830751 126.0 211.0 240.0 274.5 564.0\n", + "fbs 303.0 0.148515 0.356198 0.0 0.0 0.0 0.0 1.0\n", + "restecg 303.0 0.528053 0.525860 0.0 0.0 1.0 1.0 2.0\n", + "thalach 303.0 149.646865 22.905161 71.0 133.5 153.0 166.0 202.0\n", + "exang 303.0 0.326733 0.469794 0.0 0.0 0.0 1.0 1.0\n", + "oldpeak 303.0 1.039604 1.161075 0.0 0.0 0.8 1.6 6.2\n", + "slope 303.0 1.399340 0.616226 0.0 1.0 1.0 2.0 2.0\n", + "ca 303.0 0.729373 1.022606 0.0 0.0 0.0 1.0 4.0\n", + "thal 303.0 2.313531 0.612277 0.0 2.0 2.0 3.0 3.0\n", + "target 303.0 0.544554 0.498835 0.0 0.0 1.0 1.0 1.0" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 5 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "a6ushlSP9EJP", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 283 + }, + "outputId": "b75d5826-d26f-4ffa-a377-bd300bb3866e" + }, + "source": [ + "# Display the Missing Values\n", + "\n", + "print(data.isna().sum())" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "age 0\n", + "sex 0\n", + "cp 0\n", + "trestbps 0\n", + "chol 0\n", + "fbs 0\n", + "restecg 0\n", + "thalach 0\n", + "exang 0\n", + "oldpeak 0\n", + "slope 0\n", + "ca 0\n", + "thal 0\n", + "target 0\n", + "dtype: int64\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "IXOMCsIl9JpJ", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 612 + }, + "outputId": "f43d391b-a702-4d0e-9d42-98170d63d722" + }, + "source": [ + "# calculate correlation matrix\n", + "\n", + "corr = data.corr()\n", + "plt.subplots(figsize=(15,10))\n", + "sns.heatmap(corr, xticklabels=corr.columns, yticklabels=corr.columns, annot=True, cmap=sns.diverging_palette(220, 20, as_cmap=True))\n", + "sns.heatmap(corr, xticklabels=corr.columns,\n", + " yticklabels=corr.columns, \n", + " annot=True,\n", + " cmap=sns.diverging_palette(220, 20, as_cmap=True))" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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agesexcptrestbpscholfbsrestecgthalachexangoldpeakslopecathaltarget
count165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.000000165.0
mean52.4969700.5636361.375758129.303030242.2303030.1393940.593939158.4666670.1393940.5830301.5939390.3636362.1212121.0
std9.5506510.4974440.95222216.16961353.5528720.3474120.50481819.1742760.3474120.7806830.5936350.8488940.4657520.0
min29.0000000.0000000.00000094.000000126.0000000.0000000.00000096.0000000.0000000.0000000.0000000.0000000.0000001.0
25%44.0000000.0000001.000000120.000000208.0000000.0000000.000000149.0000000.0000000.0000001.0000000.0000002.0000001.0
50%52.0000001.0000002.000000130.000000234.0000000.0000001.000000161.0000000.0000000.2000002.0000000.0000002.0000001.0
75%59.0000001.0000002.000000140.000000267.0000000.0000001.000000172.0000000.0000001.0000002.0000000.0000002.0000001.0
max76.0000001.0000003.000000180.000000564.0000001.0000002.000000202.0000001.0000004.2000002.0000004.0000003.0000001.0
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" + ], + "text/plain": [ + " age sex cp ... ca thal target\n", + "count 165.000000 165.000000 165.000000 ... 165.000000 165.000000 165.0\n", + "mean 52.496970 0.563636 1.375758 ... 0.363636 2.121212 1.0\n", + "std 9.550651 0.497444 0.952222 ... 0.848894 0.465752 0.0\n", + "min 29.000000 0.000000 0.000000 ... 0.000000 0.000000 1.0\n", + "25% 44.000000 0.000000 1.000000 ... 0.000000 2.000000 1.0\n", + "50% 52.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", + "75% 59.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", + "max 76.000000 1.000000 3.000000 ... 4.000000 3.000000 1.0\n", + "\n", + "[8 rows x 14 columns]" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 8 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "iNdi8cwN9wmU", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 287 + }, + "outputId": "b67f565d-7e05-4f7e-ac88-bac6c15ca709" + }, + "source": [ + "# Filtering data by NEGATIVE Heart Disease patient\n", + "pos_data = data[data['target']==0]\n", + "pos_data.describe()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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agesexcptrestbpscholfbsrestecgthalachexangoldpeakslopecathaltarget
count138.000000138.000000138.000000138.000000138.000000138.000000138.000000138.000000138.000000138.000000138.000000138.000000138.000000138.0
mean56.6014490.8260870.478261134.398551251.0869570.1594200.449275139.1014490.5507251.5855071.1666671.1666672.5434780.0
std7.9620820.3804160.90592018.72994449.4546140.3674010.54132122.5987820.4992321.3003400.5613241.0434600.6847620.0
min35.0000000.0000000.000000100.000000131.0000000.0000000.00000071.0000000.0000000.0000000.0000000.0000000.0000000.0
25%52.0000001.0000000.000000120.000000217.2500000.0000000.000000125.0000000.0000000.6000001.0000000.0000002.0000000.0
50%58.0000001.0000000.000000130.000000249.0000000.0000000.000000142.0000001.0000001.4000001.0000001.0000003.0000000.0
75%62.0000001.0000000.000000144.750000283.0000000.0000001.000000156.0000001.0000002.5000001.7500002.0000003.0000000.0
max77.0000001.0000003.000000200.000000409.0000001.0000002.000000195.0000001.0000006.2000002.0000004.0000003.0000000.0
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" + ], + "text/plain": [ + " age sex cp ... ca thal target\n", + "count 138.000000 138.000000 138.000000 ... 138.000000 138.000000 138.0\n", + "mean 56.601449 0.826087 0.478261 ... 1.166667 2.543478 0.0\n", + "std 7.962082 0.380416 0.905920 ... 1.043460 0.684762 0.0\n", + "min 35.000000 0.000000 0.000000 ... 0.000000 0.000000 0.0\n", + "25% 52.000000 1.000000 0.000000 ... 0.000000 2.000000 0.0\n", + "50% 58.000000 1.000000 0.000000 ... 1.000000 3.000000 0.0\n", + "75% 62.000000 1.000000 0.000000 ... 2.000000 3.000000 0.0\n", + "max 77.000000 1.000000 3.000000 ... 4.000000 3.000000 0.0\n", + "\n", + "[8 rows x 14 columns]" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 9 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DbzJPYQV9lPu" + }, + "source": [ + "Assign the 13 features to X, & the last column to our classification predictor, y" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "FjMSVs94960R" + }, + "source": [ + "X = data.iloc[:, :-1].values\n", + "y = data.iloc[:, -1].values" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "kYwABWTb-AJx" + }, + "source": [ + "Split: the data set into the Training set and Test set" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "DlgSSiYE99tk" + }, + "source": [ + "from sklearn.model_selection import train_test_split\n", + "x_train, x_test, y_train, y_test = train_test_split(X,y,test_size = 0.2, random_state = 1)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "MuoZklrK-FJY" + }, + "source": [ + "Normalize: Standardizing the data a mean of 0 and a standard deviation of 1." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "rGfWqZir-LLs" + }, + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "sc = StandardScaler()\n", + "x_train = sc.fit_transform(x_train)\n", + "x_test = sc.transform(x_test)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CwBqTSrI-WVv" + }, + "source": [ + "Modeling /Training" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Pxb_vKN2-dmc" + }, + "source": [ + "Model 1: K-NN (K-Nearest Neighbors)" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "WwTHdnS2-Ysh", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 176 + }, + "outputId": "80e3157c-dddc-44ab-fb76-8508ec3ae969" + }, + "source": [ + "from sklearn.metrics import classification_report \n", + "from sklearn.neighbors import KNeighborsClassifier\n", + "\n", + "model1 = KNeighborsClassifier() # get instance of model\n", + "model1.fit(x_train, y_train) # Train/Fit model \n", + "\n", + "y_pred1 = model1.predict(x_test) # get y predictions\n", + "print(classification_report(y_test, y_pred1)) # output accuracy" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + " precision recall f1-score support\n", + "\n", + " 0 0.78 0.70 0.74 30\n", + " 1 0.74 0.81 0.77 31\n", + "\n", + " accuracy 0.75 61\n", + " macro avg 0.76 0.75 0.75 61\n", + "weighted avg 0.76 0.75 0.75 61\n", + "\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7HeMf82L_l2M" + }, + "source": [ + "Making the Confusion Matrix" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "5Nrcd6au_dw0", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 70 + }, + "outputId": "bdb6872f-218c-486f-b581-4614bdbfbac5" + }, + "source": [ + "from sklearn.metrics import confusion_matrix, accuracy_score\n", + "cm = confusion_matrix(y_test, y_pred1)\n", + "print(cm)\n", + "accuracy_score(y_test, y_pred1)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "[[21 9]\n", + " [ 6 25]]\n" + ], + "name": "stdout" + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0.7540983606557377" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 14 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "NUwd6OzI2BNa", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "outputId": "5236745f-7860-4ef6-b548-77172b9affc2" + }, + "source": [ + "TN = cm[0][0]\n", + "FN = cm[1][0]\n", + "TP = cm[1][1]\n", + "FP = cm[0][1]\n", + "\n", + "specificity = (TN/TN+FP)\n", + "\n", + "print ('Specificity = ', specificity)\n" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Specificity = 10.0\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "v7q04OW45jVn", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 34 + }, + "outputId": "b91a4392-c89b-435a-dc11-6c086b1ea39d" + }, + "source": [ + "senstivity = (TP/TP+FN)\n", + "\n", + "print ('Senstivity = ', senstivity)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Senstivity = 7.0\n" + ], + "name": "stdout" + } + ] + } + ] +} \ No newline at end of file From e33ee4b598ae3cb45e57ffe7da699aa4e7f791b6 Mon Sep 17 00:00:00 2001 From: Kainat-Mahar <72600530+Kainat-Mahar@users.noreply.github.com> Date: Fri, 22 Oct 2021 14:13:25 +0500 Subject: [PATCH 059/232] Add files via upload --- ...cation_using_Random_Forest_Algorithm.ipynb | 1355 +++++++++++++++++ 1 file changed, 1355 insertions(+) create mode 100644 Data Science/Classification_using_Random_Forest_Algorithm.ipynb diff --git a/Data Science/Classification_using_Random_Forest_Algorithm.ipynb b/Data Science/Classification_using_Random_Forest_Algorithm.ipynb new file mode 100644 index 0000000..ef5e38c --- /dev/null +++ b/Data Science/Classification_using_Random_Forest_Algorithm.ipynb @@ -0,0 +1,1355 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "Classification using Random Forest Algorithm.ipynb", + "provenance": [], + "collapsed_sections": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "HbbGwEA47kDj" + }, + "source": [ + "Importing Libraries" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "roYk-Q3s6yVd" + }, + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib as plt\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt" + ], + "execution_count": 1, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7v8I08N58jcA" + }, + "source": [ + "Data Wrangling" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Ttq0PCrZ8i_d", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 202 + }, + "outputId": "d2a6d459-e354-475f-d2c5-ef08982f82d0" + }, + "source": [ + "data = pd.read_csv('dataset.csv')\n", + "\n", + "data.head(5)" + ], + "execution_count": 2, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " age sex cp trestbps chol fbs ... exang oldpeak slope ca thal target\n", + "0 63 1 3 145 233 1 ... 0 2.3 0 0 1 1\n", + "1 37 1 2 130 250 0 ... 0 3.5 0 0 2 1\n", + "2 41 0 1 130 204 0 ... 0 1.4 2 0 2 1\n", + "3 56 1 1 120 236 0 ... 0 0.8 2 0 2 1\n", + "4 57 0 0 120 354 0 ... 1 0.6 2 0 2 1\n", + "\n", + "[5 rows x 14 columns]" + ] + }, + "metadata": {}, + "execution_count": 2 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "8PJwi9rc8tp-", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4e8f191b-6599-496e-b97b-8fcbedbc7b22" + }, + "source": [ + "print(\"(Rows, columns): \" + str(data.shape))\n", + "data.columns " + ], + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "(Rows, columns): (303, 14)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Index(['age', 'sex', 'cp', 'trestbps', 'chol', 'fbs', 'restecg', 'thalach',\n", + " 'exang', 'oldpeak', 'slope', 'ca', 'thal', 'target'],\n", + " dtype='object')" + ] + }, + "metadata": {}, + "execution_count": 3 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "PxY79ivL80gB", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "73b9d73d-e643-4602-ac52-c8df5d5a8413" + }, + "source": [ + "data.nunique(axis=0)# returns the number of unique values for each variable." + ], + "execution_count": 4, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "age 41\n", + "sex 2\n", + "cp 4\n", + "trestbps 49\n", + "chol 152\n", + "fbs 2\n", + "restecg 3\n", + "thalach 91\n", + "exang 2\n", + "oldpeak 40\n", + "slope 3\n", + "ca 5\n", + "thal 4\n", + "target 2\n", + "dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "wn63NFgG88dd", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 477 + }, + "outputId": "83fe2164-71d8-438a-f38f-6076eb0512c6" + }, + "source": [ + "#summarizes the count, mean, standard deviation, min, and max for numeric variables.\n", + "data.describe().transpose()" + ], + "execution_count": 5, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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age303.054.3663379.08210129.047.555.061.077.0
sex303.00.6831680.4660110.00.01.01.01.0
cp303.00.9669971.0320520.00.01.02.03.0
trestbps303.0131.62376217.53814394.0120.0130.0140.0200.0
chol303.0246.26402651.830751126.0211.0240.0274.5564.0
fbs303.00.1485150.3561980.00.00.00.01.0
restecg303.00.5280530.5258600.00.01.01.02.0
thalach303.0149.64686522.90516171.0133.5153.0166.0202.0
exang303.00.3267330.4697940.00.00.01.01.0
oldpeak303.01.0396041.1610750.00.00.81.66.2
slope303.01.3993400.6162260.01.01.02.02.0
ca303.00.7293731.0226060.00.00.01.04.0
thal303.02.3135310.6122770.02.02.03.03.0
target303.00.5445540.4988350.00.01.01.01.0
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" + ], + "text/plain": [ + " count mean std min 25% 50% 75% max\n", + "age 303.0 54.366337 9.082101 29.0 47.5 55.0 61.0 77.0\n", + "sex 303.0 0.683168 0.466011 0.0 0.0 1.0 1.0 1.0\n", + "cp 303.0 0.966997 1.032052 0.0 0.0 1.0 2.0 3.0\n", + "trestbps 303.0 131.623762 17.538143 94.0 120.0 130.0 140.0 200.0\n", + "chol 303.0 246.264026 51.830751 126.0 211.0 240.0 274.5 564.0\n", + "fbs 303.0 0.148515 0.356198 0.0 0.0 0.0 0.0 1.0\n", + "restecg 303.0 0.528053 0.525860 0.0 0.0 1.0 1.0 2.0\n", + "thalach 303.0 149.646865 22.905161 71.0 133.5 153.0 166.0 202.0\n", + "exang 303.0 0.326733 0.469794 0.0 0.0 0.0 1.0 1.0\n", + "oldpeak 303.0 1.039604 1.161075 0.0 0.0 0.8 1.6 6.2\n", + "slope 303.0 1.399340 0.616226 0.0 1.0 1.0 2.0 2.0\n", + "ca 303.0 0.729373 1.022606 0.0 0.0 0.0 1.0 4.0\n", + "thal 303.0 2.313531 0.612277 0.0 2.0 2.0 3.0 3.0\n", + "target 303.0 0.544554 0.498835 0.0 0.0 1.0 1.0 1.0" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "a6ushlSP9EJP", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "366a429a-9d57-4ea8-bc8d-b51b0baf45fc" + }, + "source": [ + "# Display the Missing Values\n", + "\n", + "print(data.isna().sum())" + ], + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "age 0\n", + "sex 0\n", + "cp 0\n", + "trestbps 0\n", + "chol 0\n", + "fbs 0\n", + "restecg 0\n", + "thalach 0\n", + "exang 0\n", + "oldpeak 0\n", + "slope 0\n", + "ca 0\n", + "thal 0\n", + "target 0\n", + "dtype: int64\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "IXOMCsIl9JpJ", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 612 + }, + "outputId": "7b01ed95-db2a-435c-f6e5-c8423976082c" + }, + "source": [ + "# calculate correlation matrix\n", + "\n", + "corr = data.corr()\n", + "plt.subplots(figsize=(15,10))\n", + "sns.heatmap(corr, xticklabels=corr.columns, yticklabels=corr.columns, annot=True, cmap=sns.diverging_palette(220, 20, as_cmap=True))\n", + "sns.heatmap(corr, xticklabels=corr.columns,\n", + " yticklabels=corr.columns, \n", + " annot=True,\n", + " cmap=sns.diverging_palette(220, 20, as_cmap=True))" + ], + "execution_count": 7, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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NBmo2bZ7hTNeS3Y+FpdjeZ9kKqlWJ34+1/pAypUrx/sdtad6mPRXLl8/QfixJjRUtRnjYSzUW84TSZY2/X4lr7OqVyyhA9w7t+PrjVrj/ZBzhsra2puUnbfl5yHd82aoFYQ/u0/e7QenOCBATHUX+IsUSHltYWhEWGpxi+0dhDwi7E0KVOvUTntu+xIv5w/px4dBemn6Z+SPPQoicJbV3x5qVzM+viqJ8nEL7XoqiHFcU5XjAlawbwcgpPus7gON7dzOmd2eePnmS8PzJQ/tRFIWf53rz7bhJnDt2mCsXz2dZLl3XiYmO4ldPX1p37Izfgnlomkb77n3InScvv/TpwpLZM8j9Vh7MVLM3nue36TMJCb3NxNHGKRbHgoK4ffcum/1WsdlvFZeuXMVv3YbXvEvmc3d3JyQkhMmTJr2+cQ5w+dI//D5tKv2++x5z85z3/aMbl3gTfv8un/X9Ltsy1Cxbgrw21qw/djbbMrys/6Ch5MmXj45tWjN53Bjy5M2b5Pfu4vnzCaMoWWFifO3/Nnlylq0zsxwJDKCgnUOW/w5MnD6DkNBQJo4ZDcCxE0HcvnuHLWtXs2Xtav69coXV69a/+k3eEC0ujvv37jF26gxm+y7lr3PnCPBbTUxMDH/s2MZP7pNYvimQQkWK4P7LqCzLFWsw4D/TnVJVHLFPdJ3Y+1/3pPekOVR1a8j+tcuzLE+GKGrW/oj/DqmbVF+Ybg1UBvziH7cDrgLOiqI00XXd5OhC13VPwBPgQIcGeiZlfaNWzpnJX6dOAJCvYCHuJTqD8+xpDMWKlzRpX6x4SQwxTxMe3wsNIZetLQCVnF0Z+bvxItJ/z57m1tUrABzdvZ3yjs5YWltT1KEE+QoW5uLJ45StkvJZxyUe07hw8jgA+QsV5k6iXIanMdiVNM1lVzJpLhvbtwCwss5FzXcao6oqdRq9y1pvT+6FhlDUoTjfj3txwD2q59eUqlDxdR9ZskqVKMGW7S+mlITevk2hggWT/r9WrmJjYCC+8+dia5sbgJVr1lK+TBkKFigAQNVKFTl07Ciftkm2r5u2XCVLsunhw4THIcHBFC5UKEk7Hx8fAjZuZOnSpdjGb883qXiJEuzc9iLXnduhFEzm80rJ/Xt3GfxNf1q3aUeLD1tnOM/qebP457RxulLegoW4H2Jab8+n8KXWga0bOXVgL71+Hp8wDTAz9GhaD6dSxql6YY+jKZb/rYRlVhbmBIdFmLR3Lm3PW9bWzO7RHgXjMPi0zp8wyCdjB4f2JUrweMe2hMd3b98m/0vbzzpXLq5e/peKlStjMBjQNA07BwdUVWX63BcXm3/+UUsqJxqBOLB3D7qu07jZ+xnKWKpUKTZv2pTwOCQkhEKFk0698fXxYWNAAEuyoPY3LJjD5XOnAMibv2DCheVgnM5ayKF4mt/z5r9/06TdF5mSr3SJEmzZ9uIGFMb9WIEk7XxXrGTTlkB8Pecl7MdW+K2hfJmyifZjlTh85Bgd2qRvSp19iRLsTTRN7+6d2+Qv8FKNWefi2pXLlK9kWmNFihajUJEiCRecl6tUiQtnT5MnfhpZ9fiR06YtWrJ2+TLSavsSL66fPwOAbf4ChN99cdLxmeEpBeySn4a2eto4bPLkpUXXvskub/DRp3ge2pvmPEKI/y2p7R45AU10XffQdd0DaIaxU9IGyNhfyBzi834DGe3py2hPXxzrunH26GE0TeP43t2oZubYlSpt0t6uVGlUMzOO792NpmmcPXoYp/g7utyJnwcbGxtLwBJvqteuCxj/2F65cA6AyEcPiQi7T6kKr75b0NffDsLdeznu3stxqVef00cOomkaR//YiZm5OQ6lypi0dyhVBjNzM47+sRNN0zh95CDOdY3D3RWrO3H+xDEA/j5zCh2dwnb2RD56RORD40Hb7o3rQFGoVqN2uj7HFu+/R2RUFCdPnyE6OpqTZ87S7iPTg+Ptu/Ywz3sRU8f/StnSpROeL27vwN+XLhFjMBATE8M/ly5TuUKFdOV4WcuWLYmMjCQoKIjo6GiCTp6kffv2Jm0Ct21jzty5TJ82jXJly2bKel+nafPmREdFcfb0KaKjozl35jQfpnL+f3R0NP26daVm7doJd8zKqA59BjBq7mJGzV1M9dr1OPfnETRN48S+3ZiZmSd77UdKzh49xO51q/lywBCKpuOg8lUW7DrCAG9/Bnj78+flG9QuZ+yMN6hUmjhNJzjsoUl7791H6bfAj/4L1jB14x5i47QMd0AAmrxn3H7nz5wmOjqa82fP8EFr006zk4srG/2Nd+Ly8ZxHgYKFUFWVRxERRISHA7B25XJURaWO24u7jwWs8aNy1aoZzvjBS7V/MiiIdi/V/rbAQObOmcO06dMpW+7NTJtL7OMe/RIuJq9Uqy5/HT+KpmmcObgXMzOz11778bLL504TFxeHU4NGmZKvRfPn+7HTL/ZjH39k0mbbrt3MW7iIqe7jKFumdMLzJRwc+OfSv4n2Y5eoVDH9+7GGTd8jOjqKC2fPEBMdzcVzZ3m/lek+tbqLC1vWGa8lW7bAk/wFC6KqKi3btCMiLIxHDyMwGAxcu3yJchUrUbJMaaKjogi+Ybz25vD+fRQqkvYL+t//uic9J3rQc6IH5V1qcfnUcTRN4+LRA6hmZhR2SHrSYv3vk4k1PKX9wBEmz9/8+0LCv4/v2IK5hWWa82QLVcnaH/HfIXWDouuvH6hQFOVvoI6u6w/jH+cFjum6XklRlJO6rqc4ET0zRkJqzV6LVcEixgvVNI27+wL5d+6EDL1n6HceKS7TNI3ffx7O/dAQVNWMj7v0wLWB8WLH0b06MdrTeNeOkwf3sX6xF7qmUdjOgf5jJ6KqKss8pvF3/Nlk+1Jl6DVyDKqq8jgigrljRxL1+BEA5apWp9P3w03WbfWKqQSapjHtxyHcCw1BVVXadetNrXeMf3RHdPsSd2/j8PXx/XtZ4z0PXdMpYm/P9+OnoKoqMTFPmDZiMI8iwlFVleZtP6PRhx9x5e+LeLqPAUXB0sqKboN+oHTFyibrfsc+6Rz7lCzw9WXx0uXoQA1nJzwmT6LPd9/j7OhI3+7deO+TNkRGRmFhYQGAbe7cbFmzGoPBQKfefbkVEoIClC1dGp/5c1+7PvM8qcvm6eWFt7c3uq5Ts2ZN5syeTc+ePXFxdaV/v36827Qpjx8/xjI+V25bW7ZvM57lbtS4sfEiU11HVVX69O5Nt9fcLetu5JNXLn9u2eJFrFy2BHQdRxcXJkyZztAB31DdyZnOPXqyM3ArMyb/ZryYVFGwMDdnw/Zd/D59KlsCNmBp+eKP9ffDR9Do3aavXN+xV9y+NjFN05g3ZgT342+d2rpTD1zibwk9rm8XRs1dDIDnuJ8IvX4VXddRFIWSFSrRddhPTBzQi5gn0QnTY6xy2TB02qu/43TvxSupyvayn9q/T7F8edA0nSX7jnPskvHgala3tgzwNr3Qv1zRgnz3YeM03aJ3YIukt+h+bqXvYvyWLwN0qju5MGbSFH78fgBVHZ34qlsPIiMjGdizKxHh4ZhbWDBqnDuOzi6cP3uWn4cNQsF4JnvkuPFUqeaY8L7tWjRjxJhx1KpbL8V12ycaAXoVL09PFsXXfo2aNZk9Zw69evbE1cWFvv370+zdd3n8+DEW8bVkmzs3gfG3om7SqJFJ7ffq0+e1te93NPXT3jRNw2fCz4TdCUVRVZp/0YVq8beCnvZdLwbN8ARgyaSx3LlxLaHOHMpV5IvvfwBgxfSJxMU+46uhP712fe2rpm40z2uxL4uXLUPXoYaLM79PmUTvAd/j4uRI3x7deO+jT3j80n5sq78fBoOBr3v2ITgkBBTjfszXc95r13ctJuU/lWuW+uK/0rh/r+roxCj3Sfwy5HuqODryeeduREZGMrRPTx5GhGNubsHwMeOoFn+L5QUeM9kTP1pXqkxZJsw03qVu1m8TOHrAOEU4V+7cjJ0yA7tkLqDfc/5yqj4vTdPwmzaOiLu3UVWVhu2/olItY+16/fAtPSd6cOfGNdbNmohqZoYSP0WknHMN3v2iK35TxxF+9zaKomBmbk6TzztTprrLK9f5fesm2X50dbj7B1k628Nt4dZs/z+LzJGVtZNT6ya1nZDuwCjgD0DB+EWFE4AVwGhd14em9NqcOh3rVZ2Q7PSqTkh2SksnJKulthOS1VLbCclqqe2EZIf0dkLetFd1QrJTajshWS0tnZCsltpOSFZ7VSckO6W2E5IdckIn5EiPllm64eot2JLt/2eRObKydnJq3aTqiFfX9YWKomwFvsb4/SDbgVu6rkcBKXZAhBBCCCGEEOJlqeqEKIrSAxgIFAdOAfWAw8C7by6aEEIIIUQOloPvPCRyOKmdVF+YPhCoDVzXdb0J4ApEvPolQgghhBBCCJFUai9AiNF1PSb+mxetdF3/S1GUV9/WSQghhBDiPywnfxu1yNmkdlLfCbmlKEo+YD2wQ1GUcOD6m4slhBBCCCGE+K9K7YXpbeL/OVpRlD1AXiDwjaUSQgghhMjpZF6/SC+pnVSPhCTQdV2+xlQIIYQQQgiRbtINE0IIIYQQQmSpnPnNeEIIIYQQOZ0qFxeLdJLakZEQIYQQQgghRNaSkRAhhBBCiHRQ5OJikU5SOzISIoQQQgghhMhiMhIihBBCCJEe8oVzIr2kdmQkRAghhBBCCJG13vhISOh3Hm96FeliN+Pb7I6QrEfD52d3hGQduv0wuyOk6OrZa9kdIVn1ypfM7gjJypPLKrsjpOiTWtWyO0KybKwssjtCskLCH2d3hGSVLJQvuyOk6J6eM7dlmcK5sztCsgJinmZ3hJxNzmaL9JLakZEQIYQQQgghRNaSa0KEEEIIIdJBUeVcrkgfqR0ZCRFCCCGEEEJkMRkJEUIIIYRID5nXL9JLakdGQoQQQgghhBBZS0ZChBBCCCHSQb71WqSX1I6MhAghhBBCCCGymIyECCGEEEKkh8zrF+kltSMjIUIIIYQQQoisJZ0QIYQQQgghRJaS6VhCCCGEEOkhFxeL9JLakZEQIYQQQgghRNaSkRAhhBBCiHRQVLm4WKSP1E4qR0IURen+0mMzRVF+eTORhBBCCCGEEP9lqR0JaaooSjugO1AAWAzszejKNU1jzugR3A0JRlVV2nTthbPb20nanTq0n/WLvNB0jSL2DvQb7Y6qqpw9dph13p5ocXFY2eSi3y8TyFugIIaYGDx+Hs7j8HB0XadM5Sp0GfJjRuMmq+bMFVgXLY4eG8uhr5q8kXU8p2kaU38cwu3gW6iqymc9+1Hr7YZJ2h3fv5dVC+aiaRrFHIozeMIUVPVFf9NrijsXgo7zw5RZFLV34MGdO8waM5LoqEhUVaVjv4E41a6b9mwjh3InIVtfajZIJtuBvaz2moemaxR1KM7g8ZNRVZXff/2Zq39fxMzcWJJNP2pD87YdWLPIk2N79yS8PvbZM77u/x2u9ZPWSVrzrpzyK+G3Q1BUlXc/70zlWvVM2kRHPmb5xF94+iQaRVEo5FCCDt9nTh2tW7mMdSuXg65TzdmF4WMnmK47Oorh/XrzMDwMcwsLho0ZR+VqjgnL/7l4gTFDv8e1dh2G/PIrAF9/9AGqmRmKoqAoCovWBqQ515vajoaYGCaPGMzDsDB0dMpVqUafH35Kc7bJIwYn1P8XvfpR6+1GSdr9uX8vK73mJNT/UPepJvXvOXkC54OO8+NUD4raOyQ8f3TvbpbP+50mH7bmk6+6pinbc8t8FrPMZzG6ruNSsybuU6aZLF+3Zg3e8+fy9OlT2n32Gb37f2uy/N7du3zdoT0lS5fGc7FvujI8t3rZElYt9QVdx8m1Br+4TzJZHh0Vybc9uxERZqyxnydMopqjI9HR0Qzq24sH9+6CovB1t5581K698TXR0Qz9pg+3Q0JRFPiwTVu69uqbplyapjFp+GBCg2+iqipf9u5P7XeSbsdj+/eyYv5sNE3DzqEEw34zbsfpP//IjSuXUAALKyu+GTmaEmXLcS7oOItnTuVpTAzVatSkz/BR6f7sAFYu8WXlEh90Xce5Rk3G/jbZZHmA/1oWe83H8PQpn3zagR59+wOwb88uZk2ZTFxsLCgKLVq1pvc3AzKUJTHvBQtYsGABuq5Tu970YBYAACAASURBVE4dZnl4mCwfPGgQRw4fRlEUrKysmDZjBs7OzgC817QpDx8+JH/+/GzbsSPTMj3X6736FM5ji6brBPx5jvM3Q02WW1ua07/5O1hZWAA6tyMe4737CAAO+fPyZcNamKsqKHDw4hX2Xbyc6RkzndxmVaSX1E7qRkJ0Xf8S8AHOAluA73RdH5LRlf8R4M+j8HBGe/rSqmMX1vssSLbdBp+FtPqqC6M9fXkUHs7ejesA8F84n2ZtOzDay5eKji6snmfcGW/zW44WF8doL1+GTZ/N5YvnufbPXxmNm6yQrWv422PsG3nvl21f58fD8DAm+6ykbece+C2cl2w7P+/5tO3cg8k+K3kYHsaO9WsSll279A/X/vnL5KDMx2Mqhe3smeyzks4DBrPSc3aas+1Yv4ZH4WFMWryCNp2647dwfrLt1nh70qZzdyYtXsGj8DB2rl+bsKyKiyuTFq9g0uIVNG/bAYD2XXslPNex30BU1SzDHRCAP7dvJuphBH2nzKVRuy/Ys3ppsu1qNm1B/6nz6DFuOmF3QjkauDHD6441GPBfsYwffp2A54o1XDx7lhNHD5u0WegxE+tc1vhu2EKjZs2ZPfk3k+Wz3MeRv2ChJO890WMui/03pqsDAm9uOwasWEJcXCyTfFbwi4cnl86f5cpfF9OUbZu/sf6n+q6ifZcerFqQfP2vXjiP9l16MNV3FQ/Dw9i+7uX6/9uk/gFiYw2s811E7rfypClTYgaDgaWLF+E+dRprN2/l7KlTHD54wKRN+QoVGDpyFMXs7ZN9j5+GD6NQ4cLpzpA4y6olPoyeOJkl/gGcO3OaY4cPmrSZPX0quXLZsDZwJ82af8A0d2NndvZUY2fFb8t2ps6ex9JFC4iNjQVg/KgR5MmTl7WBO1i5cSvvf9AqzdkC/f2ICH/A9KWrad+1Jyu95ibbbpXXXNp37cn0pauJCH/ANn8/ALoMHMT0pauZtnQ1FapWx+f3GQAULFyE9l17UqZipTRnepnBYGCF72J+nTSFFRs2cfb0KY4eNP38ylUoz6AffqSonZ3J87a2b/HjmHGs27aTybNms2mdP3dumx6MZySXl5cXHr//zq49ewg6cYJ9+/aZtKlRsyabt27lwKFD1HNzY9SPL06cdOrcmW7du7/8tpmiYZVyvGVtzfi129kadIHWNasl2+7AX1eY4L+dSet3UShPbt6pUhaAj+o4cin0Hu7rdrDm0CkaVi33RnIKIXKO1E7HqgAMBNYC14GvFUWxyejKzxw7jGNdN1RVpVajd9FiYwm9fs2kTej1a2hxcdRq9C6qquJY143TRw8B8MzwlHrNmgNQu8l73Lp6+XlgYmOfYTAYeBIdhaIovJU3f0bjJis0cC1P799+I+/9spOHD+Lq1gBVVXF7txlxsbHcunbVpM2ta1eJi43D7d1mqKqKq1sDgg69OBBaPH0y7bv1NnlN2P17ONcxjgJUda3J0ycxhN68nuZsLvVMswW/lC34pWwu9RoQdPhACu+Y1B9bAihZrnyacqXk36BjVHStjaqqVHNriBYXy71bN0za2Ni+hWuT9wGwtLYmb4FCPLx/N8Pr3rdrJzY2uanq6Iy1jQ2VqzuyY5Np5+bcqZN88FFbAL7o1oOwB/fRNA2AlYu9yV+wYJKDn8zwprajoijEPos1/k5Gxf9O5s+XxmwHqOH2dny29+Lr/4pJm1vXrhAXF4fbu++hqio13N4m6ND+hOXe0ybxabdeSd578cxpVHJyJpdN+ndrOwIDyZ07N86uNbCxscHR2YUAf3+TNo7OzjRs3ASFpGfAdm4P5PHjR9SoVTvdGZ7bs2MbNrlz4+jsgo2NDdUcndiyYb1JmzMng2jdth0AnXv1Iey+scZu3riOk6srACVLl8HCwoI/dhrPml88f47hvxhPupibm+NQokSaswUdPECN+u+gqioNmr56OzZoGr8d67/DifgOXeLO99OYGJT4s4l2JUpSr/G7mJll/FLHXdsDjZ+fiys2NjZUd3Jm04Z1Jm2qOTrzdqPGqC+dzaxRuw41atUCoHzFiphbWBB8KzjDmQA2b9qEra0tNWvVwsbGBtcaNfBbvdqkTceOHcmXz/i71bBhQx4/fpyw7OtOncibJ/0d7VepVsKOc/EjH6euBaOaqRTN+5ZJmxhDLEf/Nf5tidU0IiKfUMA2t3GhDtaWFgDYWlvxLE57IzkznaJm7Y/475C6SfXdsTYCP+u63htoBPwL/JnRlT+JjKSw3YvpEBZW1tx+6UDw9q0bWFpbJTwubGfPk8hIACytrNmxdhUA+zatMw5/A83bf4G5uQVje3dhxg+DcKzjRsGiRTMaN9tFR0ZS1L54wmNLa2tCXuoshNy8bvJ5FbFzIDr+89q0chm538qDa736Jq8pXLQYR/fuBuDoH7vRtDiCr11LY7bHFHVIW7ai9vZER774A/nX6VMM6/IFEwZ/w4O7d5Ks4+blyzT+8KM05UpJTHQU+Yu9OIi3sLTifsitFNs/enCfB7dDqFo346MwIcG3sE10IFC4aFEiwh6Y5ot5QslyxjOElpaWqKrKnZBgIsLC2L4pgME/jUn2vX8c0J+ubT9izpTfkl3+Om9qO7b+/CvMLcz5oVtH3Id8i0u9+hQumrZOVFRkZNJsN17KduM6VlbWCY+L2DsQlVD/S8mdJw+ubg1MXnPjyiX+PX+Or/t/l6Y8L7t18zp58uZNeFzMrhgPHtxP1WtjY2OZPX06P/06LkMZngu5eZO3EtVYkWLFCH/wUo09eUKZchWAFzUWGhxMmXLlOXH0CAaDgfNnThMVGcnNG9e4c8d4smXsj8Pp0KoF3b/4lOtXTTsPqREV+ZhiDi/2+5bW1oRcf2k7XjfdjkXtHYhKVGPTfvqBAV+049KFc3QbNDTNGV4n+OZN8uR5sS2LFitG2EufX2rs2LoFXdNwcnHJlFzXr18nb6Ias7e35/69eym2X7xoEdWqJT8ikdlyWVlw/1FkwuNnz+Ioktc2xfZ5bKwpnNeWk1eN+13/o6cpXaQAo9o1p1Wtamw5cf6NZxZCZK/UdkLq6Lq+E0A3mgq0Samxoii9FEU5rijK8Z0b/FNqlmGf9R3A8b27GdO7M0+fPEl4/uSh/SiKws9zvfl23CTOHTvMlYv/v3dokY8esX/bZnoM+SHJss4DhvD0yROGdv6c7ev8sLCywszMLEvztevSnYmLljFhwRJs38rL/N9+NVl+9I9dqKqa5mtVMkOswcCqaeMpU9WJ4hUyPtUjI6aM/Zkm7zcnX4ECSZaNmTqTRf4B/Drdg2MHDxAYsD6Zd3izUtqOf+7fi6KoTFywhKG/TefUkUNcupB1v5ORjx6xN3AzvYaMSLJswdSJfPJVZ8zNs+9mge5jx1C1uiOVq1TNtgzP9R80lDz58tGxTWsmjxtDnrx5MVPNiDU8Q9M0HJ1dWL0pkLIVKjL+54xdd5Feg36dyKwVaylftTqrvJKflpfdrlz6l9nTp9J34PfZUlsT3d0JCQnht8mTX984i6mqSs+m9fk39C437ocD0Lhaea7cecC4tdvYdPw8rWs7vuZdcobn1+Bl1Y/475C6Sf2F6bkURZkOOOi63kJRlKqAG/BPco11XfcEPAH8DgXpiZetnDOTv06dACBfwULcC30xTP3saQzFipc0ea9ixUtiiHma8PheaAi5bI1nVyo5uzLydy8A/j17mlvxZ+WO7t5OeUdnLK2tKepQgnwFC3Px5HHKVsmaM0KZyWfmVM4FGQedChQqzJ1EZ+sNMTHYlyhl0t6+RCmTz+tuaDA2trZc/us8zwwGxn3XDzBeHPrbsO8YPH4yDqVKM3L67ITnh3b6jDKVqrw+26ypnA86DkD+QoW5E5y2bHdCQrCxNQ7X2yVq2+rzr5jnbnqm/8D2QMpWfn2mV9m6eD5Xz50G4K0CBQlPNE/7meEphRKNMiW2fNIYcufNx4c9+mdo/c/ZOxRn/64XF4Xeu3OHfAUKmrSxts7FjctXKF+xMgaDAU3TKGrvwO3gYK5fucz2TQEJ07Nmuo9j4IhRlK1QEYDipUpRrlIlzp08QYuPPnltnqzYjgd3BlLZyQVLa2vsipcgf+HCnDtxjPJVX/07uWjmFM6f+DPlbCVfylayFE+fxiQ8vhsSTG5bWy5fNNb/2IHGi6g1TcN96ECGTpjC44gIVi+cz+qF89E0jT+2bEI1M+ejL75+zSdnqniJUux4uDXh8e3Q2xRM5rqd5Pzz10Xu3b1Li8YN0XUdXdcZ0KcXs+Z5pinDc/YlSvB4x7aEx3dv3yZ/wZdqLFcurl7+l4qVX9SYnYOD8eLvuV4J7T7/qCWVq1XDLn704usexuls7b/oyMjBqRs98p4+mXOJtuPt4Bf7fUNMDPalXtqOpUy3452QYHLbmk7tAfjg08/wGJO2GxykhkOJEuzaFvhi/bdvU+Clz+9V7t+7x5Bv+9OqTVuaf5j262ZSUqpUKTZv2pTwOCQkJNlriHx9fNgYEMCSpUuxtU15NCKj2tV1pqJDEQAeRj2hUJ4X67KwMOPuw8hkX9f3/QY8jolh9aFTCc+VK1aIxXuOAXDy2i1a1qxKobdyc/9x1BvLL4TIXqkdCVkMbAOez5/4B0jX3IXP+w1ktKcvoz19cazrxtmjh9E0jeN7d6OamWNXqrRJe7tSpVHNzDi+dzeapnH26GGc6rgBcCf4JmCcyhCwxJvq8WfJ8+YvyJUL5wCIfPSQiLD7lMrmM9jp1XngYCb7rGSyz0pc3N7m5OGDaJrG4d07MTM3p3jpMibti5cug5m5GYd370TTtITrSJzruDFt2RqmLvVj6lI/VFVl+KQZOJQqTdi9u8TEGEeSls/zIH/BwuRLxR/czgMGJ1yA7FqvAaeOmGZzeCmbw0vZTh05mDA1JvF1B39s2YBtoikHsbGxhNy4RrOP26X7cwT4oEtv+k2ZQ78pc6jgWot/Tv6JpmmcP7wP1cyMwi91gAHWzJxIrMHA54NGZmjdib3dtBnR0VFcPHuWmOho/jp3lmYtTQ9Uqjm7sDXAOIq4wnsBBQoWRFVVFvitY0nAVpYEbKVydUdca9dh4IhRPIyISJhu8zAigmuXL1GuUuVU5cmK7ZivYEH+PX8WgMcPIwi/fz9VFxB3HTiEKb6rmOK7ynh9x+ED8dl2xNd/WZP2xUuXxczMjMO7d6BpGkGHD+Dq9jbOdd2YsXwt05etYfqyNaiqyojJM3EoVTrhuenL1lCoaDEat2yV5g4IwHvN3ycqKoozp04RHR3N2dOnaP3J6zuBAEtWryHwj30E/rGP5i0/pHTZsunugAA0ea850VFRnD9zmujoaM6fPcMHrT82aePk4spGf+MNBXw851GgYCFUVeVRRAQR4caz02tXLkdVVOrEX4tWqHARNq0zvmbHls0mU4Nepdv3Q5kWfzF5jQbG63Q0TePgrldvx4O74rfjof3UaGCcCnnxzIsD1z2bAjJ0M4GUNH3f+PmdPW38/M6dOU3LVHTowXgHsW+6d6VGrdoJd8zKLB+0bElkZCRBQUFER0dzMiiIdu3bm7TZFhjI3DlzmDZ9OmXLvdmLu9cePY27/w7c/Xdw/kYo1UsYDxFcSjugaRp3Hj5O8poujetiYWaG545DJs8/fRZHjbLGE0EVihVCUZT/jQ6Iqmbtj/jvkLpJ9UhIIV3XVyuKMgJA1/VYRVHiMrryJh+14/zxY4zu+TWqasbHXXokLBvdqxOjPX0B+KhTN9Yv9iLAdyGF7RxoHH/B7k5/P/4+HQSAfakytIm/4Lpt9z7MHTuSX3oaDyTKVa1O9dqmt1/NLLVmr8WqYBFQFBqs2MfdfYH8O3fC61+YDs3bfsqZY0cY2ulzVDOVT3v0SVg2tPPnTPZZCUC7br3w85rLGm9Pijo48H6bT1/5vn+fOc3axcYzn7nfysOAX8anOdv7bT/lzJ9HGNb5C1RV5dMeLy5+H9blCyYtXmHM1rUnfgvmsXaRF0UcHHjvE+Mf0EUzJvMoPBwUyGVjQ69hL6Z5HNyxFQtLq9eeNU+LOs1bc/lMEHOG9EVVVZp0eHHQOWdIP/pNmcOd61cIvXoZ1cyMeT8Yb7FZwaUW733VLUPrtrS0pM1nX+I+ajg6UNXRiVpu9Rk7fDCVq1WnQ6eudP9mIMP796bTxy0xNzdnyOhfX/mewTevMyl+aoyOTuVq1Wnzecc0Z3tT2/HzXv2ZPmo4Qzt/DkDF6k44161PWjRv14HTx44w+OvPUM1UPktU/0M6fcYUX+P1YZ9268Uqr7msXmis/+ZtX13/mcXSypovO3Vm+KDvjLfFdXGl/jsNGfRNfxydnenasxfbt25h2m8T0TSNtatXE+Dvz+Zde17/5mnNYmnJp19+xc/DhgA61Z1cqNvgbX78fgBVHZ34qlsP+n4/hIE9u9KuRTPMLSwYNc4dgJs3b/LzsEEoGEfkfprgnvC+g0eO4tcfR7BskTeWVpb8NH5imrN90O4zTh89wvdfdTDearnni1v8DvqqA9OWGi+0/qx7b1Z4zmH1wvkUtXegRfx2XDbHg6jHj0BRyJXLhj4jjDUWfP0avw0fjK4bRwgHfN6OMbPnJ3sXudd/flZ89lUnRg0dBLqOo7MLbm+/zfCB31LN0ZlOPXqwM3Ars6ZMQtM01q/xY/P6dazbtpNF8+cSGfmYoD+P0bbFewB8N/wHGjZpmuYcL7O2tqZb9+58068fuq5To2ZNGjduTK+ePXF1caFv//5MnmTMNHjwYABsc+cmcPt2AJo0akR0dDS6rlOvTh169elDt24Z2589t/fiZSoXL8bIdu+j6Tqbjp9LWDai7Xu4++/ALn8eShbOT2ycxoi2xs/mws3bbPjzLAF/nqVtPWccSxnvHLfnXLITLYQQ/yGKruuvb6QofwDtgB26rtdQFKUe8Juu60lv7v6Sl6dj5RR2M759faNs8Gh48rdEzW6pqZPscvVeeHZHSFa98klHVnKC5M5O5hRmOfSMTZX4KSc5TfTTZ9kdIVk3wyKyO0KKyhROej1VTlAkT+7sjpCsmYEHX98om/z8aYtsn+x+8sceWfrH0XXCgmz/P4vMkZW1k1PrJrUjIYOAAKCcoigHgcJA+1e/RAghhBBCCCGSSm0npBzwAVAC44hI3TS8VgghhBDivycHfweDyOGkdlJ9YfpPuq4/AvIDTYA5QPJfcyuEEEIIIYQQr5DaTsjzi9A/BLx0Xd8MWL6ZSEIIIYQQIq0URWmhKMrfiqJcUhQlyReDKYpSUlGUPYqinFQU5YyiKC2zI6fIWbKrblLbCQlWFGU+8BmwRVEUqzS8VgghhBDiv0dRsvbnlVEUM2A2xunzVYEv4r/XLbFRwGpd112BzzHObBHZQeom1R2JDhi/J6S5rusRQAFgaGYEEEIIIYQQGVYHuKTr+hVd1w3ASuDjl9rowPMv18kLhGRhPpEzZVvdpOricl3XowH/RI9DgdCUXyGEEEII8d+mZPHFxYqi9AJ6JXrKU9f1599s6gDcTLTsFsYbCSU2GtiuKMq3QG6g2RuKKl4jK2snp9aN3OFKCCGEEOJ/QPyBo+drG6bsC2CxrutTFUVxA5YoilJdf/4tn+I/KafWjXRChBBCCCHSQ81R3wEXjPGrFJ4rHv9cYt2BFgC6rh9WFMUaKATczZKE4oWcUzvZVjdycbkQQgghxP++P4EKiqKUURTFEuMFxAEvtbkBNAVQFKUKYA3cy9KUIqfJtrqRkRAhhBBCiPR4zZ2HspKu67GKonyD8UZCZoC3ruvnFUUZCxzXdT0AGAx4KYryPcaLjbvouq5nX+r/x3JI7WRn3UgnRAghhBDiP0DX9S3Alpee+znRvy8ADbI6l8jZsqtupBMihBBCCJEOWX13LPHfIbUj14QIIYQQQgghstgbHwmxMs+Zgy2Phs/P7gjJyvNb7+yOkCLr8cuyO0KyYuNy5p0Fc1tZZneEZBXJY5vdEVJU3jq7EyRvxIY92R0hWfUqlMzuCMl6p1KZ7I6Qop3n/s3uCMkyNzPL7gjJ6uGQM/djOUYOmdcv/gdJ7chIiEidnNoBEUIIIYQQ/3ty5jCFEEIIIUQOJ/P6RXpJ7chIiBBCCCGEECKLyUiIEEIIIUR65JxvvRb/a6R2ZCRECCGEEEIIkbWkEyKEEEIIIYTIUjIdSwghhBAiPeTiYpFeUjsyEiKEEEIIIYTIWjISIoQQQgiRDop84ZxIJ6kdGQkRQgghhBBCZDEZCRFCCCGESA85my3SS2pHRkKEEEIIIYQQWUtGQoQQQggh0kOVc7kinaR2ZCRECCGEEEIIkbVkJEQIIYQQIh3kDkcivaR2srkTomkaM0YN407ILVRV5dMefalR/50k7U4c3MuaBfPRdI2i9sX5btwk1PhhLN9ZU7kQdBwUsCtZioFjJhIT84QZo4bx8MEDUOCDDl/SsEWrNOWa+uMQbgcbc33Wsx+13m6YpN3x/XtZtWAumqZRzKE4gydMScgF4DXFnQtBx/lhyiyK2jvw4M4dZo0ZSXRUJKqq0rHfQJxq103HJ/d6NWeuwLpocfTYWA591eSNrCOxdSuXsW7lctB1qjm7MHzsBJPl0dFRDO/Xm4fhYZhbWDBszDgqV3NMWP7PxQuMGfo9rrXrMOSXXwGY9utoTgcdByBvvvy4e8wlt61tmnJpmsbMn4ZxJyQYVVVp371PsjUWdHAfaxY+rzEHBv5qrLHx3/Ul6vEj43vFxaGamTFh4TL8Fy/g+P49Ca+PffaML/t9h0u9+qnKtXrZElYt9QVdx8m1Br+4TzL9vKIi+bZnNyLCjJ/XzxMmUc3RkejoaAb17cWDe3dBUfi6W08+atfe5LVdOrQlKjISvy3b0/RZAaxfuZx1q4zbsaqTC8PHjjfNFR3FD/37vNiOo3+lUqLt+O/FC4wZNgiXWnUY8svYhOdjDQZ6ftGeXLlyMWfpqjTnehXvZcvxXrocXdep7erCDHfTzD9NmMjeAwdBUTA3N2PMD8N4x80tUzMkNrLd+9jly4Om6yzZe4w/L99M0mby1x9hZWGBAtx7FMk4/+1omk6NMsXp1Kg2ZqrKE8Mzxvtv52F0TIYzaZqG9/ifeRAagqKqtOzUjep1ktaq76RfCbl6BV3XGDHPJ+H5zb4LOXNoP+YWxj8ZlWvUoXXXXhnOtWKJDyt8fdB1HecaNRk3aYrJ8g3+a1jkOR/D06e0+fQzevbrD8De3buYOWUScbGxoCh80Ko1fb4dmOE8iWmaxtJJYwgLDUVRVd7/sgtVatdL+n+YNoHb166g6zqDPBYmPB9y5RLr5s0gLjYWXYfa731A/ZYfZ0ouH/dfErZli6+6Ui2Zbbl0yjhC47flsDmLTZbt8lvOqX27QYHcefLSZ9zUDOdaErAF34At6OjUqFKZSYO/Tbbd3FVrWR24kxE9OvN+g3ps3X+IGUtWxi/VadvsXXp3aJPhPEKInC/V07EURbFUFMVJURRHRVEsM2PlO9ev4VFEGO7ey/mkUzfWes9Ptp3/Ii8+6dwNd+/lPIoIY9cGfwD2bt3IpQtnGT1nIRMXreDznsY/UH5ecwFwX7Sc78b+RqDfCmJjY1Oda/s6Px6GhzHZZyVtO/fAb+G8ZNv5ec+nbeceTPZZycPwMHasX5Ow7Nqlf7j2z18mnRIfj6kUtrNnss9KOg8YzErP2anOlFYhW9fwt8fY1zfMBLEGA/4rlvHDrxPwXLGGi2fPcuLoYZM2Cz1mYp3LGt8NW2jUrDmzJ/9msnyW+zjyFyyU8PjKv/9w8s+jzPZZjs+6Tei6xrKFnmnOtnPDWh5FhDNh4TI+/rob/ouSfw//xV583KkbExYu41FEOLsCjDU2csZcJixcxoSFy7ArWZqS5SsC0LZLj4Tnv+gzAFU1S3UHxGAwsGqJD6MnTmaJfwDnzpzm2OGDJm1mT59Krlw2rA3cSbPmHzDN3dgxmz3V2Fnx27KdqbPnsXTRApPaXuw5DwuL9P16xhoM+K9cxg9jxzN/uR9/nTtLUArb0Wf9Zho1e5/ZU0w7T7Mmjid/wYJJ3nvmb+PJkzdfunK9isFgYOGSZcycOJ4d/n4EnTnL/sOmmb/t2Z19Wzayb3MAn378MeOmTM/0HM99WKMK+Wys+WbhGlYdPEHHhrWSbTdu7XYGeK/lW++15LKyoH09ZwA6N67DhuPn+NZ7LeduhtKjaeZ0lg5u3kDkw3CG/r6A9z//isCli5Nt51T/Hbr+ODrZZYXtHRjqsYChHgsypQNiMBhY7rOYcZOnsipgM+dOn+LIQdPfg/IVKjDkh5EUs7M3ed7W9i1GjR3Hhu27mOoxh43r/LlzOzTDmRI7EriRqIgIBkyfR5P2X7JzpW+y7arVfZuOw35O8vy25YsoXcWRAdPm0aprH45u25QpuQ5tDSAyIpxBs7xo9llHti/3Sbado9vbdPrhlyTPX714jtMH9tD9F3cGz1pAu/6DMpzJEBuLz4bNTB78LQG/T+X03/9w8OSZJO3uh0ewee8BrK1e7KPcXJzY+PsUtnnOYvbIYawK3IHBYMhwpiyjqFn7I/47pG5S1wlRFOVD4DIwC/gduKQoygcZXfnpo4dwrtcAVVWp27gZcbGxBF+/atIm+PpV4mLjqNu4Gaqq4lyvAaeOHABgf+BmmrT6BGsbGwCKFi8BwJ3gW5SvWj3hOXNzC4IO7kt1rpOHD+LqZszl9q4x161rprluXTPmcnvXmMvVrQFBhw4kLF88fTLtu/U2eU3Y/Xs41zGeSavqWpOnT2IIvXk91bnSIjRwLU/v334j7/2yfbt2YmOTm6qOzljb2FC5uiM7Nm00aXPu1Ek++KgtAF9060HYg/tomgbAysXe5C9YkKJ2dkneOyrqMQaDgdhnzyj60oFIapw5eginuvXja6xpfI1dM2kTfP1afI01RVVVnOrW5/QR04MhTdMIuXGNd1t9kmQde7du9TXzAwAAIABJREFUpETZcqnOtGfHNmxy58bR2QUbGxuqOTqxZcN609wng2jdth0AnXv1Iey+8fO6eeM6Tq6uAJQsXQYLCwv+2LkDgPCwMLZt3kjPb5I/A/k6+3bvxMbGhioJ27E6Ozabbsfzp0/S4iPjWcrPuybdjvkKFEiynS7/8zd/XzjP+60+SleuV9myYye2uW2o6eyMjY0Nro7VWbPBNHORwoUT/h0VFQVvcAS8VrmS/Hn5/9i76/AojjeA49+9uGAJECPBnRjupXhxKRQrGpziUqwCFHd3DxqCu0NxigQrWkiIIQmQ5AhHsvv748IllwS4CCTtbz7Pk6fs7tzt25139252Zvb8AThz9zHGKhVONtmSlPvQu2GsUmEkqVAU7XpTYyOO37wPwKnbD8iX2yZd4rrz1wWKl62ASqXCo2oNYmNjCE3m2uNRtQZ2znnTZZ+fc/TgASytrHDz8MTS0pJSbu7s2eGrV6akqztVa9RI8iTLMuXLU7psOQAKFSmCiYkJgU+fpmt8965comjp8tprQpXqxMbG8Oypf5JyblWqkzuPS5L1EhLv3qoBiIp4hbGJSbrE9fdfFygWV5fuVT5el+5Vkq/L07u2UbR0ebLn1J4XuRyc0hzTwT/PYWVhgUfxoliam+NWpDA7jp5IUm7k7AW0rFsTI5WRbl32LNaYmmobJVHRae/1EwTh38PQ5tEM4FtFUWooivIN8C2Q5tuJ6sgI7BJcAE3NzAn217/IB/v7Y2puplvO5eCIOjICgKiIN9y5doXRXh0Y26OTbniMY958/H3tChqNhkd3bvFWHUVokOEfUOrISOwc88THZW5OUKKLfFDAE724cjs4oY6MBGDPJm+ssmTFM9Gd8Vx29lw4eQyACyeOIcuxBD5+bHBcmVVQ4FOss2bVLeeys+NV2Eu9MtHRb3EpWAAAU1NTVCoVoUGBvAoL49CeXQwZ+7te+QKFi1C6QkUGd+9K15ZNMDUzp2nrNimOLSoiQr8uzcwJ9tevy2D/pHUZFRGhV+bskQMYGxtTxNU9yT6ePnrINw0aGxxTUEAAWRIcr9z29oS/THS83r4lf8HC2pjjjldwYCD5Cxbirwvn0Wg03PK7TlRkJAH+jwEYN3oE9Rs1wco6K6kRHPgU6ywJ6jG3Ha/CwvTjio4mb1yDS68ew8M4vHcXQ37Rr0eA2X+Mo2OP3qiM0v9uzJOAp2RLcCwd7O148TIsSbnR4/+gSv2G+O7Zy7iff073OD6wMjMjJDw+d969j8HJJvkeoOk/NmVet5a8j41l24XruvJNy2lvoNT3LIFxOj095W1UJDntE15rzXgWmHSY2Ke8CA5kaj8v5v08kMBHD9Ic09OAALJmjW+g2dk78DLReWCIQ/v3Issybh6eaY4pobdRkdjYx98YMTE143kKPkcadO5BwP2/mdXfiyOb1lGr9Y/pEld0VCS29vENfRMzM54HGh5XRHgYL0OCmD2oF7MG9uTsvp1pjikgJJSs1la6ZftcOXn56rVemSPnLhL+JoIuzZJeK/eeOkPd7j8xcPJMfqhfR9co+TeQJOmr/gn/HSJvDG+ERCiKkvBT5xEQ8bHCkiT1kCTpsiRJlw9u9/lYsTRTFIVodRTjl66lcftObF2+GFmW+b5bL6yyZuPXXp1Zt2A2Vlmy6t15+ZIi37zh9MG9eA1N+kWnU/+hvHv7lmGd2nBo+1ZMzMwwMvo6cWVW08f9wrd165HdRv+O77OQYG77+TF10TKWb93B+/caVi6Ym0FRwvnjRyhUwjXJ+osnj6FSqShV9svM7Ums7+BhZM2enfbNGzNtwu9kzZYNI5URp48fI/zlSzp17/n5N/kCZoz7lRp165M9h349+qxfi6W1NVW/rZUhcX3wx9jRnDmwl+aNGjJ17rwMjeWDoet2MmjNdlQqiTquRQFYduQc1YoXZE6XFliYZJ7nhlSs15CBMxYyfP5yXAoXY/P8tM8hSA8PH9xj/swZ9Bk4CGPjzHO8AM7u3UHeoiUZNHc5tdv8yKENq5FTMCz4S1EUmYjwMPpMmU3LvoM5s3cnr18+/6L7jImJYfa6Tfza2yvZ7Q2rV+HQsnlMHNCbHUdPEKlWf9F4BEHIHAy9al+WJGkfsAVQgFbAJUmSWgAoiqLXh64oylJgKcCui35Kwm3r5s3k9lXtZOMcOXMRGhyo26Z5F42Di363toOLC5rod7rl58FBWFpnAcDM3IIy1WqgUqko/01Ntq1cyvPgIOyc8jBoQvxY9THdfyRv4SKf/B9cM2cGN69cAsAmZy69nhNNdDSOibq1HZ3z6sX1LDgQS2trHv59i/caDRMG9gG0w3imDB/IkD+m4ZQ3H6NnLdCtH9bxB/IXLf7JuP4NHJ3ycProYd3y89BQstvozwswN7fA/+EjChUphkajQZa1E8BDAgN58ughh/bs0g3rmTNpAra5cpE1WzacnLX5ULp8Re7eumlQPOvnz+T21b8AyGGbU78u30Xj4KJflw4uSevSKkuW+NdoNDwPCqR19z5J9nX2yAHyFy1mUFwfODo7E3H4YPz+QkKSzKMwt7Dgn4f3KVIs/ng5ODmhUqmYtWiZrlybJg0oVrIkp44d5fWrV7Sop/2yL8sy7Zo1YsMOw8ehOzjl4XREgnp8FpqkcWhubs6TRw8pWKRosvV4OEE9zp38B2EvnhP0NICOTRugKAqKojCwWydmr0h+HHtK5XXOw77D8TEHh4SS0/bjQ5gG9e5J1V27P7o9NbxqVcQtr/bOdFiEGvsc8bljZmJMYNirj742WhPDjSfBlC/kwsHrf3PraQhD12rvTBd3siNf7qTzawy1fdkCHvhdBSCrjS0vQhJea9+R28nZ4PeytbPX/bthJy+m9euW6rg+yOPszJGD8XfLQ0OCsU1mPtHHvHj+jCH9+tK4eUvqNzS8J/JT9qxcxMOb2l6prDlsCUswz+S95h25EvSqfs6Tv2/ResAIANyq1ODoFm/Cn4dim4rhTzuXL+DhjWvauGxseRkSFB/Xu3fkcjI8LgsraxzzF8LU1ByXwkUxtTDH/97fuFbK9fkXf4SzvR0HI8/rlkOev8A2e3wv18vXb1C/fcvAKdoBFLIsM3mFdo5N3Srxk/0rebhhbGzE2at+eusztUw83l7I5ETuGNwTYg6EAt8ANYDncesaA4Y/dgr48afBTFq5gUkrN+BRUTv2XpZlLpw4gpGxMU558+uVd8qbHyNjIy6cOIIsy1w/fwb3CtphTkVKuXHrr4sA3PW7hoJCLgdHIt+8IfK19oP/2O7tIEmULF3uk3F1GjCEaWs2MW3NJjwqVeXqOW1c545p48qTTz+uPPm0cZ07po3rwzwS9/KVmOntw4z1W5mxfisqlYoRU2fjlDcfYc+fER39FoANi+eRwzYX2VPwoZtZVa1VG7U6ijs3bhCtVvP3zRvUbqCfFiXdPdgfN9l748rl2NjaolKpWL51O+t27Wfdrv0UK+WKZ7nyDBg5hjwueXnx/BlvXr9GlmVuXb+Gg7NhX5o69BusmzTuXrEKfhfOxuXY0bgcy6dX3ilvvrgcO4osy7p5JB+c3r8bM3MLXAoU0ntdTEwMwf5PqBk318VQ39aphzoqilt+11Gr1dy64cd3jfWfmuPm4clu320ArFm6GBvbnKhUKt68esWr8HAAtm3agEpSUb5SFYaO/oXth47he/Ao46fPxsTEJEUNEICqNWujVqsT1OPNZOvxwK7tAGxatRwbG209Ltviy9qd+1i7cx/FSrniUbY8/X8ezW/TZ7Mubn27bt3Jmi1bujVAAOrXqU1klJqrfjdQq9VcvXGTlo31Y75w+Yru3yvWeWNuZpb4bdJk+dHz9F/pS/+Vvlx66E+5gtqGc5Wi+YiVFQLD9IelZDE3080TMVapKOViT8grbceyfXZtA0YFtKtWhr8epWzIVELNu/fVTSQvUbYCdy5fQJZlrv15AiMjoxTN/Ug45+DUrm2YpMMxrFVPex7cuH4NtVrNTb/rNGyadM5VctRqNX26dqFMuXK6J2alh0ZdezNg5mIGzFxM0dLluHvlovaacOYUKiOjZOd+fIypmTk3zpwE4OHNa6Ao5LBLOu/NEE29+jJ4zjIGz1lGsTIV+DuuLq+fSXldFi9bEf/7fwPwMjQYzdtonAoUTlVcH9SrXIGot2+5fvc+6uho/O7dp2nN+CdK2tnacGzVIo6uWMDRFQuwsrDg524dqVulItfv3tdNRL9x/wFRb6MpXiD/x3YlCMJ/iKE9ISpggKIorwAkScoBzFAUpUtadl67WSv8Ll5gZJd2qFQqWiaYyD2yazsmrdwAQPNO3fFZuRjfVcvJ7ehI7WbaR5K27NaTmSOH8HOXtqhUKhq2bo9KpeJZcCBLJ/0OkoSpmRleQ0elKK56LVrhd/E8wzq2QWWkopVXL922YZ3aMG2N9nGCLbv2YOuyRfisXIqdkxN1m7f65Pve9bvOttXau9hWWbLS/9c/Plk+Lcou2IaZbW6QJKpsPMWzUwe4v2ji51+YCqampjT/oR2TxoxAAUq4ulG2UmXGjRhCsZKlaN2xC936DWBE3550bNoAY2Njhv42/pPvWaNufU4fO0K/Tu2QJIkcNrb0GJDyp7jUbvY9Ny5dYFRXbW60SPBUn1Hd2jNxhTcAzTp6sW3VEravjsuxpi115S6fPkEx96Tjzc8dOYiJqRkFi5dMUUympqa0ateBX4YPBRRKuXlQoUpVRg3qTwlXNzp09aL3oKEM6N6FlvVrY2xiwpgJkwAICAjgl+GDkdD2Lo2dOCnFx+RTcTX7oS2Tx/6srcdSbpSpWJnxI4ZStFQpWv/Yma59B/Bzv550atZQW48JHsObEcxNTenSri0/DdfGXNrNjepVKtNr0FDcXUvRu2tn5i9bztBfApAkCVMTE8aNHPHF4tl75TalC+Rhgdf3yLLCulOXddvmdm1B/5W+WFuYMbxpLe1YXSD0dQSrjl8AoGk5V1xdtL0q/i/CWHvyUrrEVaVhM/6+eplp/bohqVR81yH+0j3tJy+GzVsOwOpJvxPir30Ix+TenclTqAgdhoziwIY1hAY8QULCyMSE5l5JewVTytTUjDYdOjJq6GBQFFw9PKhUtRrD+vejlJs7nby6c+TAfmZPm4Isy2z32cKeHb7sPHSUlUsWERkZwV8XL9KsXm0ABo0YyTc102/YX8XvmnD/+hXmDuqJpFJRu20n3bY5g3sxYKb2qYne0ybwLOAxALP6e+FYsDA/DBhB3XZd2Ld2GXcuXwAJKjdsrve0xNSq3KAp965eZmZ/LySVinrt4uty5oDuDJ6j/YxZO+V3QuPmi03r2wWngkVoN3gkFes35v71K8z4yQsk8PymJjYJerpSw9TUlA6Nv2PotDkoioJHsSJULe1B/0kzcCtSCK+WH3808ZHzlxg2fa7ufGjzXR2cHezSFM9Xpcq84+2FTE7kDpKiKJ8vJElXFUXx/Ny65CQejpVZGH+BSbLpIeuUjBnT/znmf3hndAgflfhOc2ZRxCH1wxu+pMgEQ88ym0LmGR1B8kYeSJ/GQHqrWNjwO/NfU7WimfdO9pG4p49lNsaZdH7gdxZvMzqEj3KsXDPDv8Xdmv3LV/2OU3LguAz/fxbSx9fMncyaN4Z+E1fF9X4AIEmSDeLX1gVBEARBEARBSAVDGxIzgHOSJG2NW24FfLmxRIIgCIIgCJlcZn78qZC5idwxsBGiKMpaSZIuAzXjVrVQFOX2lwtLEARBEARBEIT/KoOHVMU1OkTDQxAEQRAEAcRjVoXUE7lj8JwQQRAEQRAEQRCEdCEmlwuCIAiCIKSGGNcvpJbIHdETIgiCIAiCIAjC1yV6QgRBEARBEFJBSocfoBT+P4ncET0hgiAIgiAIgiB8ZaInRBAEQRAEITXEuH4htUTuiJ4QQRAEQRAEQRC+LtETIgiCIAiCkAqS+K0HIZVE7oieEEEQBEEQBEEQvjLREyIIgiAIgpAaYly/kFoid758I6SaY/YvvYtUORvyOqNDSJb5H94ZHcJHRY9un9EhJKvUbN+MDiFZ1uZmGR1Csq77B2d0CB/10tI8o0NIVq/aFTM6hGQ522bO6+shv3sZHcJH1SheMKNDSJZa8z6jQ0jW4Ux8veiU0QEIgpAmoidEMEhmbYAIgiAIQoYR4/qF1BK5k7I5IZIk5ZAkye1LBSMIgiAIgiAIwn/fZxshkiSdkCQpqyRJNsAVYJkkSTO/fGiCIAiCIAiCIPwXGTIcK5uiKG8kSfIC1iqK8qskSX5fOjBBEARBEITMTFKJycVC6ojcMWw4lrEkSQ5Aa2DPF45HEARBEARBEIT/OEN6QsYBB4EziqJckiSpAHD/y4YlCIIgCIKQyYnHrAqpJXLn840QRVG2AlsTLD8CWn7JoARBEARBEARB+O/6bCMkrudjDlARUIBzwKC4xoggCIIgCML/J/GYVSG1RO4YNCdkA7AFcAAc0faKbPySQQmCIAiCIAiC8N9lyJwQS0VR1iVYXi9J0rAvFZAgCIIgCMK/gSTG9QupJHLHsEbIfkmSfgY2oR2O9QOwL+53Q1AUJewLxicIgiAIgiAIwn+MIY2Q1nH/7ZlofRu0jZIC6RqRIAiCIAjCv4FKjOsXUknkjkFPx8r/NQIRBEEQBEEQBOH/gyFPxzIH+gBV0fZ8nAYWK4oS/YVjEwRBEARByLTEuH4htUTuGDYcay0QAcyLW24HrANafamgBEEQBEEQBEH47zKkEVJKUZQSCZaPS5J0O70DWbnOm5Xr16MoCuVKezJ78iS97UPH/MKFS5eQJAkzMzOm/zEB91IlAejSpx8PHj1CURTyubiwdskiVGkYayfLMjNGDyM08CkqlYofuvemTJXqScpd/vMkW5YtRlZk7JzyMOSPaahUKuaP/4V/7t7ByFh7eGs1aU69Fq3xWbWUiyeP614f8/49P/YdiGflqgbFtX2TN9s3bQBFoaS7ByPGTdTbrlZHMaJPT16Hh2FsYsLw3ydQrKSrbvu9O7f5fdggPMuVZ+iv4wGYOf43rl+5DEC27DmYNG8RVtbWKTtgKVBmzkbM7fKgxMRwtsO3X2w/ydm4bg0b165BURTcS5dhwtTpett3+vqwaukSNO/e0bzVD3Tv0xeAk8eOMmf6VGJjYkCS+K5RY3r9NCDd4lqzciVrVq1AURTKlC3H9Nlz9Lb7bNnCkoXzeffuHT+0bUvf/gN123p07cLDB/dRFMibLy8r1qxLU+4nJMsyi38fxfPgQFQqFU06d8e9YtJcXT7xV54+eoiiyPy+YoNu/fkjBzjss4mY9xoq1W1A/R86pDmeaSOHEBJ3Xrbt0YeyVb9JUu7S6ZNsWrYQWZaxd8rDsEkz9I7J0mkTuXXlMqNmzMPO0YklUyZw/9YNABRFISYmhjGzF5DLzsGguLZt9GbbhvWgKJTy8GTUBP1rlzoqiqG9u/MqTHtejhw/keKltOfl+dOnWDRzOjGxMUjA4g1bsLa2ZuXCeRw7sB8AcwsLfp8+Gydn59QcNgBWrVzBquXLURSFsuXKMWvuPL3tWzZvYtF8bY61adee/gPjc8yrS2fu37sHQLMWLRg0ZGiq40iOLMssGTea50GBSCoVTTt3x61ilSTlVkz6TZdnvy331q3fMG8GD2/5ARImpqa06z8El0JF0zXGzevXsnn9WhRFwc2zNL9Pnqa3fff2baxZvhTNu3c0/b4V3Xr1Tdf9+270ZtvGuBxz92Rk4hxTRzG0V3fdtf/n8RMpHnftP//nKRYnyLFF3luQY2MY2ssLdVQUSBL5ChRkwqx5yezZcLIss/KPsbwIDkJSqWjYsRulyldOUm7N1HEE/fMIRZEZtXhtku1HfTZy4ch+GnfujmvFammK6asQv/UgpJbIHYN+J+SKJEkVPyxIklQBuJyeQWg0GlasW8ecKZM5vMOXK9f9OH32nF6ZMu5u7N68kVMH9lGhXFnGTvgDgO279/DE35+ju3ZwbPdOAoOD2ey7PU3xHN7hw5vwMKau3kjzjt3YumJJsuV8Vi6leaduTF29kTfhYRzZsU23rbiHJ1NXb2Tq6o3Ua6Gd2/99lx66de37DEClMjK4ARKj0eC70Zufx09k6UYf7ty4wV8X9I/RinlzMLcwZ+3OfXxTux4Lpk3R2z530gRy2ObULT+6f4+rly6wYM0G1mzfg6LIeK9YalA8qRW034e788Z90X0kR6PRsGHNaiZMm8HmXXu5ef0a58+c0StTqHBhhv48GnsHR7311tZZGDNuAjsPHWXGvIXs3u5LaEhwusW1euVyZsyZy95DR7h29QpnTp/SK1O4aBFG//Irjo76ce3c7ov/k8fsP3KMA0ePERQYiM+WzekSF8DJ3duJeBXO2MVraNCuE7vXrki2nGfVb+j5y4Qk6+1d8tGiW29y5MyVLvEc9N3K6/AwZqzdzPedvdi8fHGy5basWMz3nb2YsXYzr8PDOLTdR7ft8YN7PL53V69R0nPEGKav3cz0tZup2bgZFpZWBjdAYjQatnmvY/SEyazc4svtG35cPqd/Xi6dOwtzcws27DnAt3XqMW+q9gukRqNh/rTJ9Bw0BO9d+5i2aBnmpqZoNBoO7dnNlAVLWL9rH7ntHVg2b3ZKD5eORqNh5bJlzJ43j4NHj3H1yhVOn9LPsaJFijL2t99xdHTSW7986RKeBgRw8Ogxtu/ew+6dO3kWGprqWJJzcs8OIl6FM2bxahq068judcnnmUeV6vQYOz7J+nxFizF42jzGLl5NoZJu+CyZn67xaTQaNq1bw++Tp+G9fTc3/a5z4Zz+taNAocIMHDESO3vD8iYlYjQafDasY9SEyazY7Mvtm35cPq+fY8vmzsLCwgLv3XE5NiU+xxZMm0zPgUNYv3MfUxdqcwygaas2rN+1n+UbfQgM8Mdnw7ok+06JM3t3EvH6FcPnr6Bemx/Zv35VsuXcK1en66jfk90W8Sqca3+ewMTMLE2xCILw7/DRRogkSTckSfIDygBnJUl6LEnSP2h/Mb1segax79BhrK2sKOPhjqWlJZ5urvjs3KlXpm2r78mePTsA1StVJjIy8kOcxMoyb6OjUavVKLKMs5Njkn2kxNVzZ/CoWAWVSkWlmrWJjYkh8PE/emUCH/9DbEwslWrWRqVS4VGxClfO/WnwPk7s24VLwUIGlz919AiWllaUcHXH3NKSYqVcObxnt16Zm9eu8l2TFgC07epF2MsXyLIMwKbVK8lha4udQ9IPyaioCDQaDTHv32PnkLZj9znBB7bx7kXIF91Hco4ePICllRVuHp5YWlpSys2dPTt89cqUdHWnao0aJB6mWaZ8eUqXLQdAoSJFMDExIfDp03SJ68C+fVhZW+NZugyWlpa4e3ji6+OjV8bd3YMaNWsluWsiSSpiY2OJfvsWtVqNrChpulue2M1L5yhVvhIqlYoy1WsSGxNDsP/jJOXKVK+Jg0u+JOvzFSlGyXIV0u1uz9Vzf1K6UtW487IOsTExPH38SK/M08ePiI2NpVLNOqhUKkpXqsqVs6d121fOnEqrrj0+uo9Lp09SsrThl7cTRw9jYWlFSXfteVm8lCsH9+hfu25cvUqD5trzsr1XD8JeaM/LXVs2kd3GlsrVtb05Dk5OGJua6s7ZyDdvkGWZ6LdvsU1DQ27f3j1YWVtTukxZLC0t8fD0ZNvWLXpl3D09qVmrFpJKP/nv3LlD4SJFMDc3x8bGhly5crPBe32qY0nOrYvnKFWuYqrzrHLdhlhlyQpAUY/SRL9Vp2t8xw8fxNLKCte4a0dJV3f27tihV6akqxtVq9dIcvzSw4mjh7G0tKKkW3yOHUomx75rps2xdt16EB537d+1VZtjlRLlWNZs2WnY4nsAzC0tyW1nT2hQUJrivP3XBUqUraD9PKxag9jYGEIDniQp51G1BnbOeZN9jy3zZ1CuVr106839KiTp6/4J/x0ibz7ZE9IIaAzUB/ID3wA14v79XXoG8SQggGxZs+qWHeztefHy5UfLr9m4gRLFigHQrFFD8ud1oV7zltRv2YrChQpStVKlNMWjjozAzimPbtnU3JygRBfToIAnmJrH362xc3REHRmhW/77+jWGd27LxCH9ePks6Z3DgIcPqdGwicExBQU+xTrBMcplZ8erMP1jFB39FpeC2icmm5qaolKpCA0K5FVYGIf27GLIWP27TwUKF6F0hYoM7t6Vri2bYGpmTtPWbQyO6d/kaUAAWbNm0y3b2Tvw8hM59jGH9u9FlmXcPDzTJa4A/8dkyxYfl4OjAy9fvDDotU2aNSNf/vw0ql+XJt/Vo3DhIlSpYljPmiHeRkaSM0Gj1NTMnNCnAen2/ikVFRmZ9Lz0T3Re+j/BzMxct5zb0YmouBsWezatxyprVjwrJR3qA9ov/eEvnlP/+9bJbk9OUEAAWRKcl7nt7AlP5rzMV6CgNua48zI4MJB/Hj1EArq1bsmPTRsxaewoAMzNzWnQrAW/DB1Iu0b1CXv5gt4DBxscU2L+T/zJrpdjTrwwMMfc3Ny5c/s2r1694smTJwQFBRIYGJjqWJKjjookZ4IemLTk2el9u3DKXzC9QgPgaYC/Xh3b2dsTHmbY8UsPwU/1cyyXnT3hL5PJsYLxOSbF5djjRw8B8PqhJR2bNWLyL6OSvP/z0FAC/J9Qo279NMX5NiqCnPYJrxdmPAv0N/j1Ny+eJSriDdUbt0hTHP/vJEmqL0nSXUmSHsT9xltyZVpLknRbkqRbkiRtSK6M8P8lo/Lmo40QRVGeKIryBJjw4d8J133qTSVJ6iFJ0mVJki6v9k7f/J4yaw5BwSFM/u1XAC5euULIs2fs3bqZvVs38+DRP2zdvvMz7/JltezcjcmrvJm4fB3WWbKxZIr+EIILJ46iUqlwK1fhq8QzfdwvfFu3HtltbPTWPwsJ5rafH1MXLWP51h28f69h5YK5XyWmf6OHD+4xf+ZW6NP/AAAgAElEQVQM+gwchLGxIdOpvqzLly4SGhLC9j372L5nHw8f3E9yh1vQinzzhpMH9tJj6MiPljm4fSvWWbMZPBQrreTYWF48f864GbNZsHY9f9+8ya6tW4iOjubE4YOMnTSVDXsOkDN3bib9OuarxJRYpy5dKFGyFM0aNaRnt67kyp0bo0x6l3r3upWEv3jGD70Hfr7w/4nY2FhePn/O79NnM39NXI75xF8jNBoNowb0pXT5CpR0c8+wOOWYGA5uXEMzr/SdS/P/RpIkI2AB2hvFJYC2kiSVSFSmMDASqKIoSklAnDD/5zIybwz5JlUyUSDGaIdofZSiKEuBpQDhT/2Vz+0gr7Mz+w4d1i0Hh4SQ09Y2Sbl1mzaz+8AB1i5ZhLW1FQCbfLZRKH9+bOO+YJcoWoSzFy/QqnnTz+1Wz5q5M7gVN0E7R85chAbGD7fRREfjmKj72NE5L5rod7rl0KAgLK2zAOCQoGyjNh1YPEm/B+LPQwcoUKx4iuJzdMrD6aPxx+h5aCjZbfSPkbm5Bf4PH1GoSDE0Gg2yLGPn6ERIYCBPHj3k0J5duqEecyZNwDZXLrJmy4aTswsApctX5O6tmymK698ij7MzRw6+1i2HhgRjm0yOfcyL588Y0q8vjZu3pH7DxukWl7NLPl7v26dbDg4KxjZnzk+8It6WjRspULCQ7v+jWPESnD93jpatDL+Tn9jmRXO4d/0KANlsc/IiOH6IhuZdNHZ50m+4lyFWzZnOrb8uAR85L10SnZcueXn3Lv7p4c+CArGytubhnVu812gYN6A3oJ1EO2nYAIZNnI5T3nwAXDt/Fo8KKetFdXR25uSR+PPyWWgIOZI5Lx8/ekihovHnpYOTE7nt7MmZO7duCF3BokW5feM6WeOGnZaK622rVb8B2zZ4k1oueV3Ytzc+94ODAslpYI4BzF2wQPfvFk0aU7hI2id9b1k8Vz/PguJ7V1KTZ3/u3821P0/S45c/MLe0THN8CeVxduHYoYO65dCQEHLYGH780sohjzMRRxJe+0PIYZtMjj18qLv2K3E5Zpc4x4oU5c6N6zSJ6+0b3qcHOWxtGZqol9xQvsvm88DvKgBZbWx5EZLwevGO3E4uBr1PxJvXvHv7Fu9Z2rksiiyzZ81ygEw/OV3KXI3y8sADRVEeAUiStAloCiR8mFB3YIGiKOEAiqI8++pRCkCmyp0My5tPzQkZKUlSBOAmSdKbuL8IIBRI166G+nXrEBkVxdXrfqjVaq763aBlE/0veoeOHmfxylXM+GM8BfLl063P4+jE3QcPiNZoiI6O5t6DhxQrXDjFMXTqP0Q3adyzYhWunT+DLMucO3YEI2NjnPLp/2ajU778GBkbce7YEWRZ5tr5M7phHgnnj5zYtxPrBEMhYmJiCPJ/TO2mLVMUX9VatVGro7hz4wbRajV/37xB7QaN9MqUdPdg/y7tPIeNK5djY2uLSqVi+dbtrNu1n3W79lOslCue5cozYOQY8rjk5cXzZ7x5/RpZlrl1/RoO6TinIDOpVa8e6qgobly/hlqt5qbfdRo2bWbQa9VqNX26dqFMuXK6J2all3r16xMVGcm1q1dRq9Vcv3aVZi0Nyw0nZ2fu37vHu+hooqOjeXD/HkWLpu0L4g+9BzB28RrGLl6Da7lK3Lx4DlmW+evUMYyMjJMdk/8ldRkwVDdpvHSlqlw592fceXkYI2Nj8uQroFc+T74CGBkZce7YYWRZ5sq5P/GsVBX3CpWYvWEbs7x9mOXtg0qlYuS0OboGSPiL57x5FU79lilrwFWvVQe1OorbN/yIVqu5c/MGdRvpX7tKeXiwb7v2vPRevpQccedlg+YteRUWxpvXr9BoNDx++ICCRYrikj8f6qgoAuOGmp07fYqcuXOn7gAC9b9rQFRkJFevXEGtVnPt6lVatPzeoNdqNBoC/LVDao4dPcrLly9p/+OPqY7lg9a9+jNm0WrGLFpNqXIVuXnpfKrz7MaFsxzbvoV2/YfqDddLL9/WqYs6Koqb16+jVqu5deM6DZuk7CZXWnzIsTsJcqxOw6Q5tj9ujtuGFfE59l2zRDn26AEFCmuvEb8OHci76GgmzlmQZJ+GatG9H8PnrWD4vBWUKFuR25cvaD8P/zyBkZHxR+d+JJbNxpZRi9cycuFqRi5cjZmFBY06eWX6BkhGSDjSJO4v4SQ3JyDhWMancesSKgIUkSTpjCRJ5yVJSts4POFfIbPmzUd7QhRFmQRMkiRpkqIoHx/DkA7MTU3p0qEdPw0bjgKUdnejepUq9Bo4CHdXV3p368q0eXORZZlhY7XDsKytrNjns4V+Pby4+Ndf1G7cFAkokC8fPbt2SVM8dVu0wu/SeYZ3aotKpaKVV0/dtuGd2zJ19UYAWnbpztbli9m2ahm5nZyo00z7wb5q9jTehIeDBBaWlvQYHj+U4szh/ZiYmlGoRElSwtTUlOY/tGPSmBEoQAlXN8pWqsy4EUMoVrIUrTt2oVu/AYzo25OOTRtgbGzM0N+SPkkmoRp163P62BH6dWqHJEnksLGlx4DUjz03RNkF2zCzzQ2SRJWNp3h26gD3F038/AvTyNTUjDYdOjJq6GBQFFw9PKhUtRrD+vejlJs7nby6c+TAfmZPm4Isy2z32cKeHb7sPHSUlUsWERkZwV8XL9KsXm0ABo0YyTc1a6U5LjNzczp26cLg/v1QFAWP0qWpVv0b+vXqibuHB9179Wb/3j1MmfgHsiyzZdMmfH18OHrqT3r37celCxf4rk5tJAnyFyiAV89eaY7pg2+atOD2lYuM79kRSWVEk05eum3je3Vi7OI1ACydMIaguIb3b17tcSlclK4jfuHqmZPsXLUURVE4d2gfF48d4pclSR/Jaah6LVtz/eJ5hvz4AyojFT94xf+/Du34A9PXap8M1qprDzYvW8SWFUuxc3KiXovP/6TRgW1byG6bkyzZsqcoJlNTU1q2aceEkcMB7XlZrlIVfh06iOKurrTp1JXu/QcxrFd32jWqj7GxCSN+145mtXNw4Jvadej9YzsA8uYvQKsOHQGo/E0NhvfthSRJWFhZMW566p+OZW5uTueu3RjQry+KouBZugzVa9Sgd4/ueHh60rN3H/bu2c2kCROQZZnNGzewbesWTp45y7voaDq01c4TMzY2Zsxvv2Fubv6ZPabMN41bcOfKJSb06oSkUtG4Y3yeTejdmTGLVgOwdMJYgp9o8+z37h1wKVyULsPHstd7NbKisHH+DADMLCwZNnNhusVnampG6/Y/Mnb4EEChlLsHFapU5edB/Snp6saPXb04evAA82ZMRZZldvr4sHfnDnz3H/7sexu2f1NatGnHhFHaz8eScTn227BBFCulzTGvnwYxvHd32jfW5tjwBDlWvXYd+nTUz7EH9/7m7u1bGBsb0+V7bYOqUtXq9Bk6ItVxVm3YjL+vXmJqv65IKhUNOsR/Dk/9qRvD52mferZq0m+E+GvrcVLvTuQpVIQfh4xO9X4z3Fd+zGrCkSapZAwURjvHNw9wSpIkV0VRXqVDeEJKfMXcyax5IynKp0dLSZJUBbimKEqUJEkdgNLAnLi5IZ9lyHCsjHA25PXnC2UAu2xZMjqEZEWPbp/RIXyUw2zfzxfKANbmmfMxk8dvP8zoED4qu2X6fsFNL/bZM+d56WybskbT13LI715Gh/BRpfMlvsGXOag17zM6hGT5+afP48i/hE7fVsjwx/482LDkq37HKdSu50f/nyVJqgT8pihKvbjlkaC7qfyhzGLggqIoq+KWjwI/K4py6YsGLiTxNXMns+aNIc2wRYBakiR3YAjwEO2vqAuCIAiCIPzfkiTpq/59xiWgsCRJ+SVJMgXaALsSldmB9m42kiTlRDvM5hHCVyfyxrBGSIyi7S5pCsxXFGUBkDlvCwqCIAiCIPwfUhQlBugHHATuAFsURbklSdI4SZI+/CbAQeClJEm3gePAMEVRUv68euE/IyPzxpCnY0XEdc38CFSTJEkFmKR1x4IgCIIgCP9qX+AHKtNCUZR9wL5E635J8G8FGBz3J2SkTJQ7GZU3hvSE/AC8A7oqihKCdkLKtPQMQhAEQRAEQRCE/x+f7QlRFCVEkqRtaGfFA7wAtn/RqARBEARBEDK7r/x0LOE/ROTO53tCJEnqDvgAS+JWOaGdoCIIgiAIgiAIgpBihswJ6Yv21xQvACiKcl+SpNT/cpYgCIIgCMJ/gAFPHhKEZIncMWxOyDtFUTQfFiRJMgYy5W9/CIIgCIIgCIKQ+RnSE3JSkqRRgIUkSXWAPsDuLxuWIAiCIAhCJifG9QupJXLHoJ6QEcBz4AbQE+0jvMZ8yaAEQRAEQRAEQfjv+mRPiCRJRsAtRVGKAcu+TkiCIAiCIAj/Apnotx6EfxmRO5/uCVEUJRa4K0mSy1eKRxAEQRAEQRCE/zhD5oTkAG5JknQRiPqwUlGUJh9/iSAIgiAIgiAIQvIMaYSYA40SLEvAlC8TjiAIgiAIwr+DJCYXC6kkcsewRoixoignE66QJMnC4B1kzZ7ioL6Gf248zugQkhUTK2d0CMkqNds3o0P4qOCBLTI6hOT9tiajI0hW9Pv3GR3CR5mbWGd0CP8qT56HZ3QIyXLMkTWjQ/iodzExGR1CssxNDPk4/vqymJtldAiCIPxHffSqJ0lSb7SP4y0gSZJfgk1ZgDNfOjBBEARBEIRMTfzgnJBaInc+2ROyAdgPTAJ+TrA+QlGUsC8alSAIgiAIgiAI/1kfbYQoivIaeA20/XrhCIIgCIIg/DuIcf1CaoncMezHCgVBEARBEARBENJN5pwJJwiCIAiCkNmJcf1CaoncET0hgiAIgiAIgiB8XaInRBAEQRAEITVU4m62kEoid0RPiCAIgiAIgiAIX5foCREEQRAEQUgF8YQjIbVE7oieEEEQBEEQBEEQvjLREyIIgiAIgpAa4glHQmqJ3BE9IYIgCIIgCIIgfF2f7AmRJOkGoCS3CVAURXH7IlEJgiAIgiBkdmJcv5BaInc+Oxyr0VeJQhAEQRAEQRCE/xufbIQoivLkw78lSbIDysUtXlQU5dmXDEwQBEEQBEEQhP8mgyamS5LUGpgGnEA7FGueJEnDFEXxSa9Alq9YwfLly1EUhfLlyjFv3jy97YOHDOHcuXNIkoSZmRmzZ83C3d0dgFq1a/P69Wty5MjB4UOH0iukJGRZZtP08YSHBCGpVNRs04liZSvqlVFHRrBh8q+8e6tGkiRyOjnTetCodNv/nLHDCQ0KRKVS8X23XpSuXC1JuStnTuGzYgmyImPn6MSA8VNRqVT8MbA3URFvtO8VG4vKyIiJK7zxXb2cy6eP614f8/497foMxKNi5VTFuXHdGjauXYOiKLiXLsOEqdP1tu/09WHV0iVo3r2jeasf6N6nLwAnjx1lzvSpxMbEgCTxXaPG9PppQKpiSKkyczZibpcHJSaGsx2+/eL7271lI7u3bAIUiru6M+jX8Xrb1Wo1v/TvzZtX4RgbmzDwl3EUKVGS0KBAxg8fxNuoKJxc8jJuzkLdawZ0bMu76GgURSGXvT2/zZiLsalpqmOUZZmVf/zCy2Btvjfo2JVS5ZPmxNqp4wn65xGKIjNy8Rrd+r1rV+B39jTGJtrLTLHS5WncpUeK9j9h2ECCnwagUqno2PsnKlSvkaTc+ZPHWbd4PrIs45DHmTHTZqNSqXgWHMzkkUOIfvsWcwsLRk6ZSS47e56HhjBtzAiiIiNRqVR07T8YzwqVAFg0dSI3r/wFKJT0LEOfEaM/G+e2jd5s27AeFIVSHp6MmjBJb7s6KoqhvbvzKiwMYxMTRo6fSPFSrtrYT59i0czpxMTGIAGLN2xB8y6a/l076V4f8/49LvkLMHXBYoOPHYDvRm98N3mDolDS3YOR4xPFpY5iWO8evA7XxvXzuD8oVtKVv2/d4PfhQzCJy53cdvZMX7xc77W92v9AVFQk63bsTVFMH8iyzIShAwj6ULd9fqJi9aTn3fmTx1m7aB6yLOOYx5kx0+fo6nbSz4N1dTtq6ixy2dnrXnf2+BFWz59DncbNaNW5m8Fx+WxYj0+Cuhzzx2S97eqoKAb38tLV5ejxkyju6sqyeXM4fvigrtx7jYaBP4+mSo1vGT14AA/+voMsy2w9cCQVRwu2eK9j8/q1oCi4eZbm10lTE8UVyU/du+ri+mXiVEq6uqJWqxncuwcvnz8DSeLHrt1p0vJ7AJYvnMfBPXtQUMhfoCDT5i9KcVyyLDPv1xE8i/tMatGlJ57JfCZdPXsa35Xaz6Tcjk789PsUVCoV18+fxXfVYmRZRpIkmvzYlbLVvuXPg3vZu3EtxiYmALgUKkL3Eb+k4sh9eZKYXCykksgdwyemjwbKKYrSSVGUjkB5YGx6BaHRaFi2bBnz583j+LFj/HXlCqdOndIrU6Z0afbv28fZM2eoVKkSo0bHfzno1LEj3bp2Ta9wPurSob1EvX5F7+mL+KZlW45vWZ9suTK16tN3xmK8JswiLDSYCwd2p8v+j+zcxptX4Uxc4U3TH7viu2ppsuV8Vy+jaceuTFzhzZtX4Rzd5QvA6NmLmLjCm4krvHFwyYdLoSIAtOjspVvftld/VCqjVDdANBoNG9asZsK0GWzetZeb169x/swZvTKFChdm6M+jsXdw1FtvbZ2FMeMmsPPQUWbMW8ju7b6EhgSnKo6UCtrvw915477KvmI0GnZt2cjgX8czd90m7t66ybWLF/TKrF04F3MLC5b67KJKrTosnan90mFhaUWLdh2pUO2bJO/768x5LN6ynUWbfXmrjmLzmpVpivPM3p1Evg5n2Pzl1G3TgQPrVydbzq1yNbqM+i3ZbbkcnRg2bznD5i1PUQMEYK/PZl6HhbFg4zbadOvB+iULky3nvXQhbbr1YMHGbbwOC2Pfti0ArJgznbyFCrNw83byFirM8lnaxvCymVOxc3RiwcZt9BgygrULtTc8rl44x80rfzFl6Spmrd3E/du3uON37ZMxxmg0bPNex+gJk1m5xZfbN/y4fO6cXpmlc2dhbm7Bhj0H+LZOPeZN1TYGNBoN86dNpuegIXjv2se0RcswNzXFxjYn63fu1f2ZmJrybd16KTp2MRoN2zauZ+T4SSzftI07N2/w1wX9uJbNnY2FhQXrd+2nRp16zJsa/4Xb2MSEtdv3sHb7niQNEO8VyzAxNUlRPInt3bqZV2FhLNzkS1uvnqxfnHzdrl+ygLZePVm4yZdXYWHs9dkMwPLZ08hbqDCLtuwgb6HCLJs1Lf7//b2GLauWY501a4pieq/R4OO9jrF/TGbV1u3cvuHHpUR1uWTOTMzNLdi09yA169ZnztSJAHT/aQAbdu1jw6599B/+M0ZGRlSpoW1UfVunLpPnJv//ZwiNRsPmdWv4bfI01vnu4qbfdS6e07+mLpg1AwsLS7YdOELtet8xc5L2psaCGdrrxtZ9h5ixYDHrVy0nJiaGwMAA9u3cwcxFS/HZd4iIN6/ZvmVTimM7tsuXN+HhjF+2nsbtu7B9zbJky21fvYzGHbowftl63oSHc3y39jNp57oVVG/QhPHL1lO9QVP2blire41VlqyMX7ae8cvWZ9oGiCAIaWNoI0SVaPjVyxS89rP27NmDtbU1ZcuWxdLSktKenmzZskWvTPv27cmePTsA1atXJyIiQretY8eOZM2WLb3C+aj7Vy5SxLMcKpWKkpWqI8fG8Pypv14ZS+sseH5bFwBTc3Oy2eTk9Yv0Gbnmd+EsbhUqo1KpqFCjFrExMQQ+eaxXJvDJY2JjYqlQoxYqlQq3CpW5fl7/A0uWZYL8H1OzUbMk+zi5fzfOBQqmOsajBw9gaWWFm4cnlpaWlHJzZ88OX70yJV3dqVqjRpKn05UpX57SZbUj/goVKYKJiQmBT5+mOpaUCD6wjXcvQr7Kvv48fhQLS0uKubphbmFJkZKlOLZ/j16Z237XqN2oKQCtOnUlPOwlsiyTNXt2ajZohIlZ0h4Om5w5Ae2XKTlWTvNdljt/XaB42QqoVCo8qtYgNjaG0IAnScp5VK2BnXPeNO0rOZfPnKZslaqoVCqq1a5HbEwMAf880isT8M8jYmNjqVa7HiqVirJVqnLpz1Nx2/6hRXttj0KL9p10r335/DmlK2gb2a6lyxId/ZbAJ495cOcWNrlyYZ01K6ampjjnz8+R3Ts/GeOJo4exsLSipLs75paWFC/lysE9+q+5cfUqDZq3AKC9Vw/CXrxAlmV2bdlEdhtbKlfXNigdnJyS9Fxdu3yZmPfvqde4aYqO3cmjh7G0tKKkmzauYqVcObhnl16Zm9eu8l3T5gC069qdsJfauD7lVVgYR/fvpXOvvimKJ7FLZ05Rrko1vbr1T1S3/onqtlyVavp126EzAC06dCbgUfxrl86cRnF3TywsLFMU04kjH+rSAwtLS0qUcuXg7h16ZfyuXqVh85YAdEhQlwnt3uZDwaLFdMu1v2tI/kKFUhRLQscPH8TSygpXdw8sLS0p6erGvp2J47pC4xbauDr16KWLK8D/CW6engC45MuPiYkJJ44c5u6tW1hYWuKcV3veupUuw7FDB0kpvwtndJ9J5WvUQo6JISjRZ1LQk8fIsbGUT+YzSZJAHRkJQFTEG8wtU1ZnmYJK9XX/hP8OkTcGNyQOSJJ0UJKkzpIkdQb2AvvSK4gn/v5kS9CIcHRy4vmLFx8tv2rVKkqWLJleuzdYtDqKHPYOumUTUzNeBH38S/Kbly94GRJEiQpV02X/URER2Dnm0S2bmpkT7K//pTDY/wmm5ma65dwOTkQlaLABnD1yAGNjY4q4uifZx9NHD/mmQeNUx/g0IICsWePr0s7egZcvX6b4fQ7t34ssy7h5eKY6lswqNCgQ6yzxd2ltc9vxKkz/GL17G41Lfm1j0NTUFJVKRWhw4Gffu3/HNvRp2xITU1Nad+ySpjjfRkWS095Jt2xqZsazwIAUvceL4ECm9vNi3s8DCXz0IEWvjYqIwCGPi27ZzNycp4m+4Dx98hgzM3Pdsr1jHl2+x8bG4Jy/AABOefMRGxsDQG57e84c1w6LOXPsCHJsLAGP/6FoKXdePgslNDiQyDdvePzgPuFhH78OAQQFBJAlwR333Hb2hCeqy+jot+QroF+XwYGB/PPoIRLQrXVLfmzaiEljkw7b3LV1E/kKFkSVwg+R4MCnSeJ69TJpXHkL6scVEqjNsZj37+nYvBFdWzXnYIKG2JRfR1O7QSOsrK1TFE9iUZER2Odx1i2bmZsne0NFr26d8hAVGV+3LnF1mydB3T5+8IC7N/3oNmBIimMKeqpfl7ns7AkLC9MrEx39lvwFk9ZlQg/v3aVJy1Yp3v9H40qcY/b2hCeuy7dvyV+wcJK48hcsxF8XzqPRaLjld52oyEgC/B9T0tWdt2o1t27cQKPRcPn8Od68fp3i2NSRkeR2THiNMCfkqf5nUshT/c+kXA6OuobH9159OHf0IKO6tuXCsUP80LO/rlxUxBvGdu/A+H5e3L5yKcWxCYKQ+Rn0yaYoyjBgKeAW97dUUZQRHysvSVIPSZIuS5J0edWqVekTaZxJkyYRFBTEtKlTP184A8VoNGye+Qf5S7iRp3DRjA5Hz/njRyhUwjXJ+osnj6FSqShVtkIGRBXv4YN7zJ85gz4DB2FsLH5PMyXmrt3EvHWbiY2N4dBn7uJ/aRXrNWTgjIUMn78cl8LF2Dx/RobFkvBLfI8hI4h++5Z+bb9nr89mTM3MMDIywq1sOcpV+4bxQwYwum8PbHLmQvqCj1CUY2N58fw542bMZsHa9fx98ya7tur3AN+9fYsGTVt8sRiS45K/ADOXrmLt9j106d2XtUsX8fLFc86ePEF4WBjtunp91Xg+J2HdLpwyge87dc2w68axA/u1PdVV0ufGU1r1HTyMrNmz0755Y6ZN+J2s2bJhpDLCzsGBlm3aMW7UcDp+34zsNrZIqq8/Pv3Qtk1UrduAiSs3UrnOd6ydMwUA13IVGTl7CeOXradS7fp4L5j11WMzlCRJX/VP+O8QeZOCX0xXFGUbsM3AskvRNlqIePMmud8Z0ZPXxYU9Ce7CBAUGkituaElCa9asYdfu3axfvx7rNN6JM9T+1Uv45+Z1ALLY2BKeYI7Ce807cibomUhow9TfscqWnYZeaRu2sH7+TG5f/QuAHLY5CU3Q86J5F42Di/4wGAeXvGii3+mWnwUHYpUlS/xrNBqeBwXSunufJPs6e+QA+RMMI0iNPM7OHDkYX5ehIcHY2toa/PoXz58xpF9fGjdvSf2Gqe+RyczsHJ2IjHtAAMDLZ6Fkt9E/RmYW5vj/85ACRYqg0WiQZRk7B6fEb5UsS2tr3MqU5/yp4zRI4R3Z7csW8MDvKgBZbWx5ERJ/l1fz7h25nZw/9tIkbBNMFG7YyYtp/T4/QXjpjCn4Xdbe9bTJlYvgBMMd30VHkydvPr3yefLm4927aN1ySNBTXb4bGRkT8M8jnPMXIOCfRxgZaS93OWxzMmH+EkA7NLFvmxYUKl4CgC79BtKl30AApowahk3OXJ+M19HZmZNHDuuWn4WGkCNRXZqbW/D40UMKFS2mq0sHJydy29mTM3dunJy1x7Rg0aLcvnGdJq1aA3D21EkURaFardqfPW6JOTjlIeKNflzZbZPG9eThQwoViY/L3skJlUqFpaUVANVq1mb14gXcun6Na5cv8eb1K9o3ro8CKLJMt9bNWbFlu0ExLZkxBb9LFwFt3YY8je9VexcdjVOiunVKXLeBT7Gyjq9b/38e4ZK/AP4J6vbNq3C8lyzEe8lCZFnmyJ6dGBkb6YZufYpjHmdOHI5/sMnz0BBsbGySHLN/Hiatyw8O7N5Jcdf0/fksR2dnIhJMen8WEkKOxHVpYcE/D+9TpJh+XCqVilmL4udptGnSgGJxowjad+lG+y7ac3LW5D8M7m3bsGAWd65pP5Oy2+bkWVDCa2No6qsAACAASURBVEQ09nn0P5Ps8+h/Jj0PDsIy7vM7JMCfn37XNjwatPmRM4e0AyyyJTiHajf7nmO7tvE8OJBcBl4DBUH4dzDoqiNJUgtJku5LkvRakqQ3kiRFSJL05vOvNEyDBg2IjIzkypUrqNVqrly9yvfff69X5sDBgyxctIhZM2dSsECB9Nr1Z33XuSd9pi+kz/SFFPYsy72rl5BlmVvnTqEyMiJXguEiH/jMmUyMRkObwZ9/ss7ndOg3WDdp3L1iFfwunEWWZS6cOIqRsXGyH9xGxkZcOHEUWZZ180g+OL1/N2bmFrgU0B+jHBMTQ7D/E2o2Sdtd11r16qGOiuLG9Wuo1Wpu+l2nYdOkc0+So1ar6dO1C2XKldM9Meu/qPK3tXirVnP31g2i36q5d+sm39ZvoFemuKsHR+LmFmxds5IcNraf/JLwKjwM/7hx8RqNhhtXLusNdzFU8+59dRPJS5StwJ3LF5BlmWt/nsDIyChFcz8Szh85tWsbJmZmnyit1WPICOZv9GH+Rh/KVanG5TN/Issyp48cxMjYSDe86gPn/AUwMjLi9JGDyLLM5TN/UraK9uk8efLlw9db+7QuX+81OOfPD2gbfdFv1QCsnj8bm5y5yGGrvekRFKBt9Dy6+zdPHj2kRYdOfEr1WnVQq6O4fcOPaLWaOzdvULeRfuO5lIcH+7Zr50V5L19KDlttXTZo3pJXYWG8ef0KjUbD44cPKFgkvtd0r68PReIaRylVLS6uO3Fx/X3zBnUaJI1r/05tA2LDymXYxMUVGOBPjEYDwC2//7F332FRXF0Ah393KAIajV3BmtgVwZaiJjHRxBaNvYXY0Vhi773F3kusUaxYEGPvLfYSe0kxxga2CKiISGDv98fiyiLKSqTE77zPw6O7c5c57D07O3dumdM8DgujYJEidOrdj2UbtrJ0/RYGjR6HvYODzQ0QgLbdezNj+WpmLF9NmfIfcezAPqu6zRWrbnPFqttjB/ZRptzHQHTdRi+U4L/Ex1K3s1attfxkzpqNSl9+ZVMDBOCTSub37PxZ89984dxZKn9Z06qMu2cJNq4xX4tbMm+O5T0D8zH0yuU/qdOwsc3viS0+/dx8TD1/5jRhYWGcP3uGqrHmCBX3LMF6f3NcC+fMIkPGTBiGwYOQEEKCgwFYvXwZhjJ478NyAFy78hcAt2/e5OC+n2nS3Lbhm006dLVMGPd4/9l30tE9OzHs7HGN9Z3kmjsPhp0dR62+k8wx2NnZc3D7ZgD2b91gWZHt5rWrlrk2T1duzJg1OymSUkn7I94ckjc294SMBWporS8mRhBOTk60atWK9h06oLWmVKlSVKhQAW9vbzxLlKBD+/aMHTsWk8lE9+7msb6p06Rh21bz1aFPKlQgLCzMvLzv++/zbdu2tEyE1bLeq1yDP8+c4Ice7TAMg08bfGPZ9kOP9rQf/wO3r17m5l9/YtjZMauPeXxrfs/SfO717+OpVKseZ48doV/Lr6OXQ3y22lC/Vl8z8selANRq2prVC2azxmceWVxdqfRVXUu54/v2UMjj+XkWh3ZsxcExFe8W/ndzbRwdU9HIqyn9enQDrXH39OTD8h/Rs1NHihX3oFlrb3Zs2czkcWMwmUys8VvJhp/8WbttJ/NnzyQ09CG/HD1Krcrmq79de/flk88q/quYbFF6xmpSZcwCSlHO92fu/LyFP2aOTJR9OTo68mX9hkwY3B8NFCrqTon3P2R0v14UKFqUOl83o1m7jgzs3J429WpiZ29P5/5DLK/3rlvD8gXdum4NOvYeQKasWRnVrwfaZEJryObmRusEjIuPqVz1Wvx68jjjOrZCGQZVvZ6dpIz7rjU9p5lXTfIZNZRb18wnNKPbNSdHvgJ4de/HlmULuX39KgqFnYMDtVs/3/v2MtXrN+LE4YN0aFwXwzDwavusYdqxcT2m+5pXCG/i3Y4ls2awbO4ssrnloHq9hgC06tKd0X160r5hbVI5OdN3tHk42PnTp1g+bxagSJP2LXqOGGP5vWP69STyn39QSvFVIy8yZsn60hgdHR2p26gJI/r2AqCIe3HKfFiOwT26UtjdnUbNWuLdqSs9v/WmyZdVsLd3oPfQEQBkzZ6dTyp9TrtvmgCQO+871Pdqavndly/9Qc9BQ1/pPYsZV+2GTfi+f2+0Ja6yDO3VjYJF3WnUrAWtOnahd/s2eNWsir29Az2HmFdU2r1tC1vXrzV346Oo1aCxzb1wtvqyfmNOHD5I+0Z1MAyDb77taNnWoVFdZiw3n1B/3aY9i2dOZ+mcmea6rW+u29ZdezCqdw/aNahFKidn+o2Z+K9jcnR0pG7jrxneJ7oui3tQpmw5BvboSuFi7jRp3pI2nbvSvW1rGlWvjL29A32HjbC8fsu6n0iVKhVFPTytfm+fTh24fOkPABpU+4LCRYsxdJzt8To6OlK/iReDevUANMWKe/J+ufL069qJIu7F8WrZmnZde9DZuwV1q1TC3sGBAdHLRF+/fp1BvbqhMPfiDBz5bJnm4f37EBxkbqBUrv4lJUu/98rv2Wdf1eXc8SMMbO2FYRjUbuFt2TbQ24vhc80rSNZq1gr/BXNYu+hHMru6Wi52VW/SlM0rlrDVzxdlGNRubv5O27V+NRdP/oJSCsMw+Oqblq88L0oIkfIpreMdLYVS6oDWulxCdmDLcKzksPDAy5feTC45MyT+Kl8JUSxntvgLJZObXZJ2zLzNhiyMv0wyuHT75ZOtk1OeTOmTO4Q4vZ3aOblDiJPJlCIPrzyMMfwmpUmfQuvSwc4uuUOI08WAlHtf4jofeib7Jd7rOzck6YcwZ8Uvk/1vFq9HUuZOSs2bl/aEKKWent0dV0qtAH4CLN8uWmv/OF8ohBBCCCGEEC8Q33Csp4OINRAGfBFjmwakESKEEEKI/0vJsaqYeDNI7sTTCNFatwBQSi0EOmutQ6IfpweSb71NIYQQQgghxH+WrRPTiz9tgABorYOVUm/eXeSEEEIIIWyViPcSEm84yR2b75huRPd+AKCUysAr3GNECCGEEEIIIZ6ytSExATiklFoV/bg+8H3ihCSEEEII8R+Qgu/BIFI4yR3bGiFa60VKqePAZ9FP1dFaX0i8sIQQQgghhBBvKpuHVEU3OqThIYQQQgghhPhXZF6HEEIIIUQCKJlcLBJIcsf2ielCCCGEEEII8VpIT4gQQgghRELI5GKRUJI70hMihBBCCCGESFrSEyKEEEIIkQDKkKvZImEkd6QnRAghhBBCCJHEEr0n5E7o48TeRYJ8kC9XcocQp9SpHJM7hDilcUqV3CG82JCFyR1B3IY0S+4I4pSu24zkDuE/53HEP8kdQpwio0zJHUKcQsOfJHcIL5Qnc/rkDiFOv928m9whxCmtcwo+9qcEssKRSCjJHekJEUIIIYQQQiQtmRMihBBCCJEQssKRSCjJHekJEUIIIYQQQiQt6QkRQgghhEgAueu1SCjJHekJEUIIIYQQQiQx6QkRQgghhEgIudeDSCjJHekJEUIIIYQQQiQt6QkRQgghhEgIGdcvEkpyR3pChBBCCCGEEElLGiFCCCGEEG8ApVQVpdRvSqlLSqk+LylXVymllVKlkzI+kTIlV97IcCwhhBBCiARQKeiGc0opO2AG8DlwAzimlFqntb4Qq9xbQGfgSNJHKZ5KKbmTnHkjPSFCCCGEEP997wGXtNaXtdYRwHLgqzjKDQfGAOFJGZxIsZItb6QRIoQQQgiREMpI0h+lVBul1PEYP21iROMGXI/x+Eb0c8/CVaokkFNrvTEJ3h3xMpI3MhxLCCGEEOK/QGs9B5iTkNcq8y26JwLNX2dMIuVLqXkTbyNEKVUOOKW1fqSU8gJKAlO01ldfdzBCCCGEEP8VKWVcf7QAIGeMxzmin3vqLaAYsCc67mzAOqVUTa318SSLUgApKneSLW9s6QmZCXgopTyA7sA8YBHwyb/ZcWy+ixfiu2ghWms8SpZixNjxVtvX+vuxYM5sIp48oXb9hni37wDA3l07mTJ+LFGRkaAUVb+swbffdf5XsaxZvpQ1y5eB1hT18KT3sJFW28PCHtG7fVvuBwdh7+BAr6EjKFTU3bL994sXGNqzKyXKvEePwcMB+KZmVQw7O5RSKKVYsHrdK8e1culiVixZBFpTvERJBo8aax3Xo1C+825JSJA5rkEjx1LU3Z2wsDC6tWvDvbt3QCm+aelNzbr1rF7bvEEdHoWGsmrTtleOK7aF8+ezcMGPaK0pVboM4ydPsdrut3Ils3+YzpMnT2jYuDEdOnWxbGvTsgV/XvoDrSF3ntz8uHAxhpHwUYPrV/qyfuVyQFPY3YOu0fXxVFhYGIM6teNBSDD29g50GTSMAkWKcjswgOG9uvL40SPccuVm2JQfLK/p3LQxT8LD0VqTOVs2hkyYir2jY4JjjE+pKb44Zc2BjozkoNenibYfAJPJxNRBvbkTGIBhGNRt2ZYSZT96rtyJA/vwnz8bkzaRxdWNTsPGYBgGpw8fZPX8WZhMJpRSfPVNS0p//Czm4/v24DdvJh9VqU71xk1timdEzy7cvHEdwzBo2u473v+4wnPlDu/dzeJZ0zGZTGTPkZMB4yZjGAZ3bt5kdN/uhD9+jJOzM33HTCRz1mwE3b3LyD7dCA8LQ2vNex9VoFmHTgBc/u1Xpo8aTnj4YxTQZfBwihX3eGGMa1f6sm65L6ApXNyDHkNGWG0PCwtjQMdvuR+dY90GD6dg0aJsWL2Sdct9MWkThjKo/bUXVWvVBSA8LIyhPbpw59ZNUIrPv6xJoxat432/NqxazvqVy9FP833QsOdiGdy5PfdDgnGwd6DzwKEUKFIUgElDB3Lx3BkUihoNG/NlvYYAtKlX03zsQqEMxQ++qwHo6d2c0AcPAIiKisTOzp6ZK/zjjTE2k8nEhP49uR1wA8MwaOjdjlLlPn6u3PH9e1k5dxYmbSKrWw66fz/OcmzwmTye8yeOgwLXXHnoOnz0K8cR29KFPixd6IPWGs9SpRg1fqLV9jV+fsyfPZMnT55Qt2FD2nb4zmr73Tt3+KZBPXLlycMcn0X/KhaTycTY3t25GWD+HDRp24EyHz3/FXx03158Z88wfw7cctJrzAQMw2DSoH5cu3wJBTikSkXH/kPI+c67rJg3m8N7dgJgZ2dHk7YdKFm2/CvFNbp3N0tcX7ftyHtxxrWHpTHi6jNmIoZhMKZfDwKuXkEphUvqNPQYMZqMmbMSER7O9z27EBJ8D601BYoUo2P/IQl9+/6fHAPyK6XyYj6JbAQ0ebpRa30fyPT0sVJqD9BDGiD/95Itb2w5u4vUWmvMk1Sma61nYG4VvTYREREsW+jDiHETWLFuI+dOn+LwgQNWZfLlz0+PPv3Jlt3V6vk0ad5iwLARrN22kwnTfmD9Gn9u37qZ4FgiIyLw911Kn+EjmePrx8WzZ/nlyCGrMj9Om4KTsxOL1m7ik0qVmTFujNX2qaNGkD5jJmIbPW0mPv7rE9QAiYiIYMXihQwZPY7F/us4d+Y0Rw9Zv0czJk3A2dmF1Vt2UKlyVSaOMp9wz5hgbqys2rSNCTNmsWTBPCIjIy2v85kzCweH13MSHRERgc/8eUyYMpWN23Zw6uQJDuz72apM/oIF6D9oMK6u1nW5do0/165eYfOOXWzZuYvAgAD8Vq5IcCyRERGsW+lLt8HDmbp4Ob+dP8epo9aLOiz6YSpOzs7M8VtHuYqfM2ei+b1ydklNnSZNeT+OL9TBE6cxa+UaZq7w53HYI1YsnJ/gGG0RuNmP36YNi7/ga7BrrT8PgoMZMW8JNb1asMZnbpzl1vjMpeY3LRgxbwkPgoPZvc588rl20Y98Uq0mI+Yt4ZNqX7Fh2bOTr8jISDYsW0Tqt2w/fGz0W8H9oCBm+K6mUas2LJn9Q5zlls75gUat2jDDdzX3g4LYtHolAD9OGU/ufPn5YcUacufLz7xJ5osbi2ZOI2PmrEz3Xc2A8VM4uHsH4Y/DAJj6/RA+/6o2Pyz3Z+TMH8nuljPOfYI5x9YuX0aPoSOYsWQFv507x8kjh63K+MyYSipnZ370X89HlT5n9gTz8SJT5iz0GzWOeX5radutJyt9nuXRpBFDSJM2LT/6r2f2Cn8++aJyvO+VVb4v8uX382c5dcw63xfPnGbO91VrKVexEnMnjQPg1LEj/H7hHJMX+tJtyHDWrVhGZESE5XWDJ05j5gp/SwMEYNxcH2au8GfmCn9y5MnLuwULxRtjXLb/5MeD4CDG+vhSu2krVv04O85yfvPnULtZK8b6+PIgOIgdP5lj2bNxPX9cOMvwWfMZt3A5jdp2SFAcMUVERLDEZwGjJkxk9cbNnD11ikMH9luVyZc/Pz37DyBbrOPYUwN79yJT5sz/OhaALf6rCAm+x6QlK6nXwpvlc2fGWW7F3JnUa+HNpCUrCQm+x1b/VQA079yNSUtWMnHJSvIXKcbC6ZMBcMudh/4TpjFpyUoq1qjF0lnTXymuzf4rCQkOYsqSVTRo4Y3v3Lg/n75zZ9KghTdTlqwiJDiILdFxeZb5gPELljFlySoyZMrE/Mnmz+eapQuJiopkypJVjJw5n9/OneHSxfOvFFuSMVTS/ryE1joS6AhsBS4CK7XW55VSw5RSNZPg3RCvQvLGpkbIQ6VUX+AbYGP02DCH1xnEzq1bcEmdmuKeJXBxcaFYcQ82/GR9Ra2ouwflK1Qgdu9Vqffeo2TpMgDkK1AABwcHAm7cSHAsP+/cgYtLaoq4e+Dk4kKhYu5s37Deqsy5UyepWrMOAI1btibo3t+YTCYAlvvMJ33GjGTNnj3BMcRl9/atuKROjbuHJy4uLhR1L86mtT9ZlTlz8gQ16pivpDZr8y1Bf5vjun7tKsVLlAAgV568ODg4sGfHdgCCg4LYunE93h2tr+Il1JZNm0idJg0lSpbCxcUFD88S+Pv5WZXx8PCkwmcVn7tbqFIGUVFRhD9+TFhYGCatccv54hPA+OzfvRNnFxcKuRfHydmFAkWLsWvzBqsyF86cotKX5kUg6jdrSXDQPUwmE2nffpvPqn2JQ6rnG2cZMpkbmP9ERGCKMiV6l+rNLat58vetRN3HU6ePHMDj/bIYhsF7FSoSFRlJ4NUrVmUCr17BFBXFexUqYhgGHu+X5dTh6AaxgkehoQA8evgAJxcXy+uWzZhE/mLupHJ2wVbHD+yjdLnyGIbBR5UqExUZyfW/LluVuf7XZaKiovioUmUMw6B0ufIc2/9z9La/qPN1MwDqfN3M8lqlIOJJOCaTiYf372PY2WHv4MjpY0fQWlO1trmnMF369KRJm/aF8e3fvRMXFxcKuxfHycWFgkWLsXNTrBw7fZLKNWsB0KB5K4Kic+yDjyuQJ18+AEq8/wFaa8LCzA2hPy5e4Ls+AwCwt7d/aUPoqQN7zPlesJi7Od+LFGN37FjOnKLSl+bvlHpNn+X77k0bKFCkGC4uLhQs6o6ziwsHoq+Qx8dkMnH9yl9UrVMv/sJxOHnoAJ4flMMwDD78rBJRkZEEXPnLqkzAlb+Iioziw88qYRgGnh+U48Qhc6Ng75YNVKxR25Jr2XMk/Jjx1PYtW0idOjUeJUri4uKCu4cn6/ytv5PcPTz4uMKnKJ7//O/YtoWHDx9Yvpv+rRMH9lOy7EcYhkG5ip8TFRnJjSvWn4MbV8yfg3IVP8cwDEqW/YhfohtOMS+KPQkPtxyzyn9emUxZswJQ5qMK/BOj4WmLXw7sp3TZ8tFxfWH+fMaK67olri/Mn8+y5Tl+YB8AlWvXwzG6FzlfkWI8CAkBzMNUIv/5h4iICB49eohSinTpM7xSbP+vtNabtNYFtNbvaq2/j35ukNb6uaufWusK0gsiIPnyxpZGSEPgCdBSa30L81ixca9j50/duH6dtGnTWR5nzZade/fuvfLv2bZ5IyaTieKeJRIcS2DADauTjsxZsxISZB1LePhjcr37DgCOjo4YhsHtwABCgoLYtmEd3QcOjfN39+vUgRZ1avLD+DFxbn9pXNev81aMuLJky0ZwrPco/PFj8r6b3yqumwEB5H03H78cOUxERATnz5zmUWgo169dAWBY/95U+bImqdO8+ETrVVy/doV06Z7VZXbX7Nz7+2+bXluzVi3y5M3Ll1W+oGbVyuTPX4By5WwfGhDb7cAA0rz17O/KmOX5unzyOJxced8FYtTlzQDi06lpI9o3rouDoyMNmrZIcIwpTVhoKFncni2K4ZjKiZvXrad/3bx+FUenVJbHmbO7Ehbd8Kjv3Z5DO7fSt0VjDu/aRqNvzUOcbly+zOWLF2jY9tUau48ePiR7jlyWx6mcnLgRq1F04+oVUqVysjzO5pqDRw8fAuZhQjnzmj+rbrnzEBVl7gFs1qEzwffu0b5hbSYM7ke1OvWxt7fn8u+/4uDgSC/vZnRsUo+RvbsR+c+LT8xuBtywyrFMWbMSEhz7eBF/jq3w+ZHUadLg4uLC3du3AZgwdCBt6teia8tvuB7rb47LrYA48j04yKrMk8fh5HwulkBCgoPIlC2bpVyaNG9xK+BZjMO6d6JdozrMnWw9TBZg9+YNODg4UNSzZLwxxiUs9CFZ3XJYHjs6OREYK+cCY+VcVldXwkLNdfzo4QMunDpBn5Zf0691U47+vDtBccR04/pV0sY4jmXLno1792w7jkVGRjJj0iQGDh8Rf2EbPQp9SLaYn0snJwKvxnqPrl61+hxkdXXjUfR7BDBxYB86Na7LpQvnaNmt53P78POZS+Zsr3bxLK66C4gVV0CsuLK4ulnqLqYje3ZRpIQ5h2o1aYq9gwNdmzZkWJcOlPyw/CvHlmSSeHUs8QaRvIm/ERLd8FgGpFdK1QAitNYvHeAacymw5UsWv6ZQX+7PS78zfeIE2nfpir198iz6NX7YID79ojJvZ3j+is3QCVNY4L+O4ZOmcfTAfras+ymO35A4OnTrSdq33+br2jUYN2IoadOlw86wY9/uXQTfu0cz77ZJFsvLHD92lNu3brFmwybWbNjEn5f+YPWqlckdVpymLlrOtMUriIqKZNv6tckdToqx1W855b+oxqgFvpT9vCoLJ5sb3IumjqNaI69k+2wCVnOLtq//iUxZs/LDijV0GTSMTatXEnzvbyIjI3n44D6tuvRgos8yQoKCWPyCIWCvy4kjh9i+YR0de/cHIDIyApPJRCH34sxZ9RO5383HlO/jvrCRFPqNnsDM5f4MGDuJE4cOsHOj9YWxPds2U8i9eDJFB2jN40ePGDlvMV9905yVc2daeqaTw6hhQylSzJ1ChYskWwxx6TZ8NFN9V5OvSDFWzJ1ltW3XhrX8euY0baNzMKlNHTEYZRg0bGn+Ljr8826UUkzy8WXA+KmcOLSf38+fTZbYhBCJJ95GiFKqNXAUqAPUAw4rpVq+7DVa6zla69Ja69KNvL6JN4gcOXPy4MF9y+Pbt26SMWPGeF/31N9379C9Ywdq1K5Lleo1bH5dXFzdclgmWwLcvX2btzNYx+Lk5My1P81dzhER5hOGrK5u3AoIYNuGdXxTsyq/njvLyWNHmTLKfDXsnfwFAMiROzfvFizIuZO/vFpcOXPyMEZcd27dIn2s98jJ2Zm//vzDKq7sbm44OjoyaeZcVm3cis9KfyIiIihUtChHDu7nfkgIdSpXZGCPLvzzzz80qfXlK8UVW85cebh//1ld3gy8ScZMz8+PictKX1/eeTcfGTNmJGPGjBQqXITDhw7F/8IXyOrqRujDZ+/ZvTvP12UqZyeu/fUnEKMus1stj/1CLmnSULzUexx+DVdek9PSGZMY0NqLAa29cE6dmjsxroBHPAkne87cVuWz58xNRPgTy+O7NwNxSZMGgFvXr1G14dcAVG/8DY8fPQIg9H4IaxbOo2+LxgTduc2+rZvYvHJZnPHMmTCGjo3r0bFxPVzSpOHmjWuWbU/Cw8mRO49V+Ry58/DkybN7J90KvGGZd2JnZ28ZgnX9r8vY2ZkbQYf37qHcp+ahPYWLe+Lk7MyF06fI5pbDPKSpqDuOjo4UL12Ga39eeuF7l90th1WO/X37Nm+nj328eHGOXf79d2aMGYmXd1sKR09+f7qtfnQP25f1GhJyz7pHIy7Z3OLI91hDWFI5O3H9uVhceTt9Bv6+9WzIX2iMK+958pl7V91y5SZv/oKcP3XSUi4iIoJbN27wZf3G8cYX08KpE+jVvDG9mjfGOXUabgc8G0IbER6Oa6ycc42Vc7cDA3FJY65jRydnynxUAcMweP+TzwDF3ZuBrxRPbDly5uZBjOPYrZu3yBjHPL+4/P7rRX45dpQqFT5m66aNXLl8mU7fton/hbHMnzSObl4N6ObVAJfUqa16piLCw3HNHes9yp3b6nNwOzCA1Gmen39VtX5Drv7xu+XxycMHWbtsMW179iVL9rjnt8Q0b9I4unjVp4tX/Tjrzi1WXG6x4roTGGCpO4Als6Zz5Y/f6D9uiuVCwc/bNlPYswSOTk5kz5mLDJmzcPp4yry599PFZpLqR7w5JG9sG47VEyihtW6utW4GlAJ6v84gKlauTNijR5w9fYqwsDDOnTlN9a9q2fTasLAw2rdsQakyZSwrZv0b5StWIizsERfPniU8LIxfz52lUjXrE/OiHp5sjp6I6zt/HhkyZsQwDOatWsPidZtZvG4zhYq5U6LMe3TuO4D7ISGWoVP3Q0K48uelV57E+enn5vfo/JnThIWFcf7sGarWsL6hZXHPEqz3N0/WXDhnFhkyZsIwDB6EhBASHAzA6uXLMJTBex+Wo0f/QazZtgv/rTsZPn4yDg4OLPtpw3P7fhWVq1ThUWgop06eJCwsjNOnTlKrbl2bXuuWMyd//P47T8LDCQ8P59Ifv1OwYMEEx1L204o8Dgvjt/NnCX8cxu/nz/FplWpWZQq7e7Jjg7knY9XC+aTPkPGlq3GFBAdx7fKzBujZE8fJ9hrGoCenrzt0ZcS8EXA5PgAAIABJREFUJYyYtwSP98tx+shBTCYTR/fsxLCzxzXWSb9r7jwYdnYc3bMTk8nE6SMH8Xi/HGA+6T+wbTMA+7ZswCF6vPfIBb6Miv7JkCUrH1WuRtUGTYhLm+69me7rx3RfP8qU+4jjB/ZjMpnYt2MrdvZ2luFVT+XM+w52dnbs27EVk8nE8QP7KV3OvKJXjjx58F+6EAD/pQvJmTcvAG+lTcsv0fNYAq5e4XFYGO8WLMyHn3xK5D//cPOG+b5Nv54989I5BmU/rUjY0xwLC+O38+f4rFp1qzKFi3uyNbrnc6XPj5Ycu3v7NqP69eKLmrX4rOqzY4xhGGTIlJnt0Xm5d9sW3koX/3DJDyvEyvcL56jwXL57sGODuSfDb9GzfK9QpRq/Xzhn+Vseh4VRrkJF87Ejegjjg5AQrl7+k3cKPPtMblvrj5Ozs+Uii62aderOWB9fxvr4UuKDcpw6fACTycShXTuws7fHLU9eq/JuefJiZ2/HoV07MJlMnDp8gBIfmnOuoHtxzv5yFIBfz5xCo8lsw8n0y3xe+QsePXrEmVPm76Szp09Ro5Zt30mLV/qxZc/PbNnzM5WrVSfPO+8wddarL8/fsmtPJkZPJi9ZrjwnDu7DZDJxYOd27OztyZHH+nOQI4/5c3Bg53ZMJhMnDu6jZPRw1otnTlnK7d6wjtTRw/Yu//4rPlMnUr+FN4VtHE7XumtPJi9ZxeQlqyhdrjzHD+6Pjmsbdvb25IwVV05LXNvMn8+D+ykVHdfm1Ss5um8PPUeOsxoGnT5jJn4/ewaAB/dDCPr7LvkKpqyeJSHEv6fMC1+9pIBSB4EK0bdyRynlCOzRWpe1ZQd/Bt5++Q6iLfVZwPKli0Fr3D09GTl+Ej07daRYcQ+atfZmx5bNTB43xtzNrhQO9vas3baT6ZMmsGndWsvkNoCuvfvyyWcVX7q/4EePX7jNf9kSflqxDA0UcS9O3xGjGda7O4WKFqNB0xY8Cg2ld4e20cu62tNjyHCKuFsv4Tm8Tw+cnZ3pMXg4F86eZuwg8yRTjaZQ0WL0HRH3EpKp45gI/dTyRT6sWrYU0BQr7snQsePp17UTRdyL49WyNaGhoXT2bkFIcDD2Dg4MGDEKdw9Pzp89y6Be3VCYe3H6j/iewjGWFAY4f/YsQ3p3f+ESvRnS2D6ZeMGPc1nsE720ZcmSTJo6nY7ftsXD0xPvb9uxeeMGxoz83rKMq729PTt/3k9ERAQtm35DYEAASkHed95hng1LW/5x68VjtdeuWMrGVSvQQKGi7nQf+j2j+/WiQNGi1Pm6GWGhoQzs3J6H90Ows7enc/8hlqEl3nVrWIZ1KMOgY+8BZMqale97d0ObTGhtvvrcf+wkq/yzGNLM5vfsZUrPWE2qjFnMs6lNJu78vIU/Zo6M/4UvcLfbjBduM5lMTBnQi7s3AzEMg9otvClV3rxC2IDWXoyYtwSAX/bvxX/BHLRJk9nVlc7Dx2IYBod2bmXT8iVorTEMg1rNvClZznqJ37E9O1G0ZOk4l+hNn9r5uXiGd+/Ereglg73aduDDCp8B0LFxPab7mhc9OLRnF0tmzcCkTWRzy8HA8VMscy9G9+nJk/DHpHJypu/oCWTJnp1rly8xedhg8xVaDWU/q8jXbdoDsHmNHxtW+prjyZCRAeMnk+4lk9N/8l3K+lXLzTlWzJ1ew0Yysm9PChYpRt1vmvEoNJQBndrxIMScY10HDqWwe3HGDuzLhTOnLQ01gCETpuCWKze/XzzPpGGDifznHxxSpaLbwKHkK1T4uX1HRlkPO1q3Yhkb/cz5XrCoO92HjGBM/94UKFKU2l83JSw0lEFdOvDgfgj20flesJj5WDBhyAB+O38WheLL+g2p0aAxv507y+ThgwDQGvIXKUr3GEsQ923vTd78+WnTtZdVHA8eh2Mrk8nE+L7duRNozrn6rdtS5qMKAPRq3pixPua6OLZvD6vmzcJk0mRxc6PHyPEYhkF4+GPG9enGw+BglGFQpV4jPq3+4gVdiuXM9sJtMS1eMJ9li6OXRPcswZhJk+nWsQPuHh608G7Dts2bmDhmtNV30sad1r2iE8eM5teLF2xaove3m3dfuM1kMjG6V1duR38OGnu3471PzEtfd/NqwMQl5mGrR/fuxnfOD5i0JqurG33GTsIwDAZ824pHDx+AUjg7u/Bt3wHkeicfw7t04M7NQBwcoteaUQYTFy+32rcRx8T7mHGN7NUlRlzt+SA6ri5e9Zm8xLwK1mFLXCayueagb3Rc3zWpi9Yaezs7wDyPaeDE6dwPCWZs3x6EPrhv/ly5e9C+z8Dn9l/Js3CyX+K9c/aETec4r0sW95LJ/jeL1yMpcyel5s0LGyFKqW7R//UE3IG1wNOles9orZvbsgNbGyFJ7WWNkOT0skZIcnqVRkhSe1kjJFm9pkbI6/ayRkhyi90ISSlSOSTfXJaXid0ISSlepRGS1GxthCS1lzVCktPLGiHJTRoh4r9MGiEvv1lhCeASUAOYHON5mYUrhBBCCBHPPRiEeCHJnZc2QkpinvtRF5iWNOEIIYQQQggh3nQva4TMBnYCeYGYNyVRmIdlvRPXi4QQQgghhBDiZV7YCNFaTwWmKqVmaq3bJWFMQgghhBApnkrBN4ITKZvkjm03K5QGiBBCCCGEEOK1SZlLvgghhBBCpHQp+EZwIoWT3LHpZoVCCCGEEEII8dpIT4gQQgghRAIouZotEkhyR3pChBBCCCGEEElMekKEEEIIIRJCVjgSCSW5Iz0hQgghhBBCiKQlPSFCCCGEEAlhyLh+kUCSO9ITIoQQQgghhEha0hMihBBCCJEActdrkVCSO0nQCDn65/XE3kWCpHVOldwhxClL2jTJHUKcTl+7mdwhvFD4P/8kdwhxStdtRnKHEKfMEzskdwgvlGrEkuQOIU43Qx4mdwhxskuh3fl5M2dI7hBe6PTVlHksS+OUMr+T3smScutSCPHfJj0hQgghhBAJIfd6EAkluSNzQoQQQgghhBBJS3pChBBCCCESQsb1i4SS3LGtEaKUKhnH0/eBq1rryNcbkhBCCCGEEOJNZmtPyA9ASeAMoIBiwHkgnVKqndZ6WyLFJ4QQQgghhHjD2NoICQRaaa3PAyiligDDgF6APyCNECGEEEL8X1EyuVgkkOSO7RPTCzxtgABorS8AhbTWlxMnLCGEEEIIIcSbytaekPNKqZnA8ujHDYELSqlUQMq8SYMQQgghRGIyZHKxSCDJHZt7QpoDl4Au0T+Xo5/7B/g0MQITQgghhBBCvJls7QkxgMla6wkASik7IJXW2gSEJlZwQgghhBAplYzrFwkluWN7T8hOwDnGY2dgx+sPRwghhBBCCPGms7UnxElrbenx0FqHKqVcEikmIYQQQoiUT65mi4SS3LG5J+RRzBsWKqVKAY8TJyQhhBBCCCHEm8zWnpAuwCqlVCDmmxVmw7xClhBCCCHE/yclKxyJBJLcsa0RorU+ppQqBBSMfuo3rbUszSuEEEIIIYR4ZTY1QqLnf3QDcmutvZVS+ZVSBbXWG15XICaTidnD+nM3MABlGHzV3JviH5R7rtyPo4Zw4/KfaG1iyLyllueXTZvAn+fPAAoHR0eadOpOrnwFn3u9rbFM6N+T2wE3MAyDht7tKFXu4+fKHd+/l5VzZ2HSJrK65aD79+MwDIPpwwfx128XsbM3v70Va9amcp0GRISHM65vd+4HBaHRvFu4KN/2GWhzXD8tX8aaFctAa4oU96T3sO+ttoeFPaJPh2+5HxyEvYMDvYYMp2BRd8v2Py5eYGivbniWfo8eg4dZno+MiMC7cT2cnZ35YcmKV327nmMymZg1tB93bwZgGAY1m3vj8UH558rNGznYUpdDf1xmef7wji1s91tO5D8RfPhFNao09PrXMT2Na/73g7h3MxBlGFRr2pJi75V9rtyiscMJ/OsyWpvoO2uh5fmNi37kzMF92DuY67VQyfeo0aJNgmOZOqg3dwLN71Hdlm0pUfaj58qdOLAP//mzMWkTWVzd6DRsDIZhcPrwQVbPn4XJZEIpxVfftKT0x89Wyz6+bw9+82byUZXqVG/cNEExxqfUFF+csuZAR0Zy0CvxV+pOqflvMpmYPKAXtwPNx4v6rdtRMo66/OXAXvzmmesyq2sOuowYi2EYjOj8LY8ePjD/rqgoDDs7Rs1fxt2bN5k6pA/hYWFky5GT7qMmvnJciXEcCw9/zMR+PQm5dw8UVG/YhE+q1rA5rpVLF7Ny6WLQGnfPkgweNcZqe9ijUDq1aUVIkLkeB30/hiLu7jwOC6Nb+zbcu3sXlOKblq2pUaceAE3r1SI8PBytNdmyuzLhh9k4Ojq+0vv19D1LjLrctX4NO37yQ5s0ylBUrtOQT6rXfKW4Rvbqws0b1zEMg2/afcd7H1V4rtyRvbtZMns6JpOJ7Dly0m/sZAzDYNXCefy8ZRORkZE069iFDz75DICta/zY6LccrTVKKWo0/JrPa9Z+5fcNYOkiH5Yt9EFrjWepUowcZ52vP632Y/7smTx58oS6DRrSpsN3Vtvv3r1D0wb1yJUnD7MXLEpQDMlBGTKuXySM5I7tc0IWABHAh9GPA4ARrzOQvRt+4mFIMANm+VCtSVPWL/4xznKe5T6mzcDhzz2fp2Ahuo2bxsBZPuQrWhy/2dMTHMv2n/x4EBzEWB9fajdtxaofZ8dZzm/+HGo3a8VYH18eBAex46fVlm2FPUsw1seXsT6+VK7TAIB1vouJiopk7EJfBk+bw6XzZ7n860WbYoqMiMB/+VL6DPue2ctW8eu5s5w4csiqzI/TpuDk7MTCnzbySaUvmDF+rNX2qaO/J33GjM/97iljvidturdtisMWe9ev4WFIMANnLaRak2asXxR3XZYo/wltBz2fRtly5aFOq3akz5T5tcUEcGDjWkLvB9Nz+jy+aOTFliU+cZYrXvYjWvQbEue2zK5u9Jw2j57T5iW4AQKwa60/D4KDGTFvCTW9WrDGZ26c5db4zKXmNy0YMW8JD4KD2b3OH4C1i37kk2o1GTFvCZ9U+4oNy559aUdGRrJh2SJSv/VWguOzReBmP36bNiz+gq9BSs7/HT/58SAkiFHzl1GraUtWz4/7eOG/YC61mrVk1PxlPAgJYudac10OmDKLUfOXMWr+MrLnykPufAUAcHZxpmq9xnjGcTHGFol1HFsx5wcAxi70peuIsWxa6UtkZKRNMUVERLByySIGjxrL4tVrOX/2NEcPHbAq88PkiTg7u+C3eTsVK1dl4mjzMWL6xHEArNy4lfHTZ7FkwY+W/U6cOZeVG7awYv1mwh6FsnBu3H9rfBKrLtNnzEz7gcMZtWAZTb7txMYVS14prk1+KwgJCmLastU0bNmGpbN/iLPcsrk/0LBlG6YtW01IUBCb/VcCULCYB2179sfZxXo9mQyZM9Nj+GimLVtNi07dWfOCY2J8IiIiWOqzgJHjJ+K3YTNnT53i0IH9VmXezZefHv0GkC27a5y/Y1DvXmTK/HqP+UKIlM3WRsi7WuuxRN8dXWsdhnluyGtz/ughipX5AMMwKPXxZ0RFRnLz2pXnypX6+DOy58rz3PNlv6hO6rfSAlDQsyThj8MSHMvJQwfw/KAchmHw4WeViIqMJODKX1ZlAq78RVRkFB9+VgnDMPD8oBwnDu1/wW80U0oR+U8kERERPH70CKUUb6W37eTn5107cHFxobC7B04uLhQqVoztG9dblTl/+iRVoq9iNWrRmqB7f2MymQBY7jOftzNkIGusL4A/f/+N3y6c54svbb8qF59zxw5R7L0PE1yXeQoUomiZ91/7eMmLvxyhcOn3zfVVvgJRUZHcvn71uXKe5SuQNWfu17rv2E4fOYDH+2UxDIP3KlQkKjKSwKtXrMoEXr2CKSqK9ypUxDAMPN4vy6nD0SdsCh6Fmhese/TwAU4xTi6WzZhE/mLupHJO3AXsbm5ZzZO/byXqPp5Kyfl/+shBPKKPF+9XiD5eXI11vLhqPl68X8F8vPD4oBynDlsfL0wmE4HXrvBpDfPfkCbd25T9vAoOqVIlKK7EOo7dDrhB/ugepuw5cmLv4MAvB362Kabd27fhkjo17h6eOLu4UNS9OJvXrbUqc+bkCb6sXReAZt5tCfrbXI83rl2leAnz+ii58uTBwcGBvTu3A1hOXiMiIoiKikrw+vuJVZclypYnR553AChSqgxaa8LDbP+O+uXgPkqXK49hGJSvVJmoyEiu/3XZqsz1vy4TFRVF+UqVMQyD0uXKc3y/uV6KlypDsZKlnvu9Zcp/Qq538gHgUeZ9tNaEvUJcT+3YsoXUqVPjUaIkLi4uuHt4sn6Nv1UZdw8PPq7waZx1s3PbFh4+fECJUmVeed/JThlJ+yPeHJI3NjdCIpRSzoAGUEq9Czx5nYGEPQolk6ub5bFjKidu37ieoN+1b9M63PK+m/BYQh+S1S3Hs1icnAiMdbIaeP0qjk7PTg6yuroSFvrQ8vjX06fo1bwxI7t35N6d2wDUaOSFvYM9fVp+zage3+H5QVkyZ81uU0w3A26QJrqRBZA5S1ZCgoKsyoSHh5P7HfPf7ejoiGEY3A4MICQ4iO0b19F90NDnfu/k74fRtE07DLvXl6SPQ0PJFONk79/U5ev0+FEombLFzLFU3Al4tbj+vhnA2I6tmdanCwGXLyU4lrDQULK4Wef7zVg5djNWjmXO7kpYdMOjvnd7Du3cSt8WjTm8axuNvu0EwI3Ll7l88QIN21oPdfivS8n5Hxb6kKzZY9XltWvW8V+7FkddPrQqc3DHFuzt7Sno7pHgWJ6LKxGOY26583Dh5C9ERETw58XzPH70iNs3btgUU+CN67yV9lk9ZsmWjaB796zKPH78mLzvmk+Mn9bjzYAA8r6Tj+NHDhMREcH5M6d5FBrK9avP/p6m9WrRuGY1HB1T0bR1wnopk6IuNy5fjHPq1FYXDuLz6OFDsrnlsjxO5eREQKwLOwHXrpAqlZPlcVbXHDx6aB3Xy/gvXoBL6jS4vEJcT924fpW06dI923e2bNy797dNr42MjGTG5EkMGPZaB1cIIf4DbP3mHQJsAXIqpZZivnlh7xcVVkq1UUodV0od37nO/0XFEsX6xfMJ/vsODdt1SdL9xlS3eStGL1jKyHmLSfNWOmaPMQ8fO7ZvL0oZjJ63mJ5jJnHq8EEuXTif6PFMGDaYCl9U4e30Gaye91uyCJc0aSj/acVEj+FN8EHl6nSZ8AO9ps8jV/5CrJg+Idli2eq3nPJfVGPUAl/Kfl6VhZPN4+oXTR1HtUZe2NvbuvDdm++/kv+Hdm0nXxH3+AsmkRcdx+q3bkeatOkY0KYZi6ZNIvVbaTHs7BI9nvbdepAu3dt41anJ+O+HkTZdOuxi7HeR308s9l9HVFQk6/39Ej2el3lRXZ775Rj7t27mm++6J0NUL3bq2BF2b95Am+59knzfo4cPpUgxdwoVLpLk+34tlEraH/HmkLyxeXWsbUqpX4APMA/D6qy1fuFlDq31HGAOgO++4/pF5VbOmsrvp08AkC5jJv4ODLBsi3gSTtYcOW0Jz2L/5vWc2r+XNoO+f6WrTAALp07g/InjAKTPlJnbAc+u7EWEh+Maa3iOa87cRIQ/6wy6HRiISxrzGPzsMcp+2ciLWaPMV2AP7NhCoeKeODo5kT1HTtJnzsy5X46Sr0jReOPL7paDfQ+3Wx7fvXObtzNYn1Q5OTlx9fKfvFugIBEREZhMJrK6unErIICrl/9k+4Z1luEpU0d/T9Dfdwm8cZ2mX1VDa43Wmi6tmjH5x4W8qhUzp1jX5c1Ay7aE1OXrsmbuDC6dOQlA2gwZ+ftWzBx7QhY32+PKmDWb5f/Vm7VmXMdWrxTL0hmTuHjyFwDezpiJOwHW+Z49Vo5lj5Vjd28G4pImDQC3rl+j0zBzw6N64284sG0TAKH3Q1izcB5rFs5Dm0zs27oJw86eqg2avFKsKU1Ky//F0yZy4WSM48XNWHWZK5dV+ey5csVRl8/m7ERERHA3MICGbTq8wrvyvKQ4jjk6OtJ95DjLtr6tvMiTv4BN8bnmyMnD7Vstj+/cukWGWPN0nJ2d+evPSxQoVMhSj9nd3DAMg4kz51jKNf6qOgWLWJ+4pkmThlLvfcDPu3ZSt5FtOZ9UdXnt8iUWT5vAV01bWIazvczciWM4e/wYYJ67cSvgWY/Mk/Bw3GINZXXLlYcnT8Itj28H3rBpXtiVS78zb8JoGrbwpqB78XjLxyVHztxs37L52b5v3SJjxkw2vfb3Xy9y984dqn76seVz2LldG6bEqGshxJvJ1tWxdmqtKwIb43guwRpEDyEB2L3Wj2O7d1ClcVNO7t+DnZ19nPMFXuTskYPsWrOSrzv3shqCYKtmnZ5dmdrit4IDO7ZQu2lLjuzZhZ29PW558lqVd8uTFzt7Ow7t2sH7FT7j1OEDlP+iKmAeZ/20/J5Na0kT3U39dsaM/HH+LAAP74cQ/Pff5C1g2wpe5T+rhM+sGVw8e5a8777Lr+fO0bGX9VWroh6ebFm3hs+qVGP5gnlkyJARwzCYu/JZb9SIvj1xcnKmU5/+Vq/dvNaf9atWJKgBAtCwXWfL/3f/5MfR3dupmsC6fJ1qez87Edi33p9f9u7k8wZenDn4M3Z2dq809+P29auW8j+vW/3KY/W/7tDV8v/t/qs4tHMrNbyac/zn3Rh29rjmzmNV3jV3Hgw7O47u2Unpjz/l9JGDlK1UBQA7O3sObNvMR1Wqs2/LBhyiVwIaucDX8vqxPTtRtGTp/3wDBFJe/n/zXTfL/7f5r+Dgjq185dWCYz9HHy9yxzpe5DYfL47s2UGZjz/j9OEDlroE+HnzOlI5OVvG5ydUUhzHQh88QGsTb6V7m53r1qCUopiNY/k//fwL5k6fwvkzp3knX37Onz1D934DrMq4e5Zgw5rVVK7+JQvnziZDxkwYhsGD+yGYTJq306dn9fJlGErx3oflCA4KIjgoiHfy5SMiIoITx49SsFBhm9+zpKjLoLt3mDliEB9Vrk7ZipVtisu727PBButXLGPv1k00aNGGg7u2Y2dvR86871iVz5n3Hezs7Ni/YytlP/uc4wf2U6FK9Zfu496d20wY1JfPqtfk48rVbIorLpUqf8H0yRM4e/oU7+YvwNnTp+g7eIhNr1204lmv1cQxo/nt1wvSABHi/8RLGyFKKSfABciklErPs8noaQG3F74wAT6pUYeLJ44x4ttmKMOgRtPWlm0j2jVnwEwfAOaMGMjN6ImCQ729yJW/IC16DWTjUh9MWuMbPUQmlbMLPSfGvYJIfL6oU58zxw7Tq1nj6GUa21q29WremLE+5hO9ui28WTVvFqsXzCWLmxuf1zIvF7lg8jgeBAeDAmcXF9r0Mn/JNmrTgUkDetOzWSMAChQrjsf7zy8RGxdHR0dqNWzM6IF90ECRYsUp9UFZhvfuQcFixWjwTXNaduhMn45taVarOvb29lbLkCalT2rW4cKJowxv2xRl2FGz2bO6HP5tMwZGL3s7Z8QAAqMnyg5p/TW58hekZe9BnDywl7UL5qC15tC2TRzdtY1Bs//9ko3lqtfi15PHGdexFcowqOrVwrJt3Het6TltHgA+o4Zy65o5rtHtmpMjXwG8uvdjy7KF3L5+FYXCzsGB2q3bJziWirXqcu74EQa08sIwDGq38LZsG9DaixHzzKvn1GrWCv8Fc/hp4Y9kdnXls6/qAPDl103ZtHwJW/18za9vnvCVuhKq9IzVpMqYBZSinO/P3Pl5C3/MHJko+0rJ+V+pVn3OHD1C3xZNLMstP9W3ZRNGzTcvP127mTd+82fhv2AeWVxdqRR9vAA4/vMeCnmUeO53927W0NJ706tpA5p16UnRkrad8CfWcexOYAAzRw4BpXBMlYrWPfs/t+8XcXR0pH4TLwb37gloihb34P2y5enXrTNF3d35ukVr2nXpTuc2LalX9XPsHRzoP9ycUzeuXWdQ7+4owMnJmQHfjwLgwf0Q+nXthMlkQqNxy5GDzr372RxTTIlVl6vmzSLyn384sH0zB7abewy6DBtjcw9x9fqNOHnkIN81qYthGHzd9tnFlU5N6jF1mflEvrF3O5bOmoHvvFlkc81BtXrmewqvWeLD9nU/obWJRTOm4OfzI+MXLGXxrGlE/vMPezZvZM9m8zXGPmMm4poz1/NBvIRjKieaNG1G725dQGuKe5agbPmP6f5dB4p5eNCidRu2bd7EpLGjMZlMrF61knVr/NmwY/cr7SclUil40q9I2SR3QGn9wtFSKKU6Y75buivmZXmfNkIeAHO11vGug/uy4VjJKa1zwlacSWxZ0qZJ7hDi9OedoPgLJZPwf1LmfTPTOTvFXygZZJ7474b8JKZUI15t6dKkcjPE9gm+Sckuha4znzdzhvgLJZNLt+/FXygZpHFKmd9J72RJuXWZJ1vmZP8A3L99K0nPcdJlzZbsf7N4PZIyd1Jq3ry0J0RrPQWYopT6Tms9LYliEkIIIYRI+VLwpF+Rwknu2Lw61i2l1FsASqkBSil/pVTJRIxLCCGEEEII8YaydR3PgVrrVUqp8kAlYBwwE3g/0SITQgghhEjBVAodEilSPskd23tCoqL/rQ7M0VpvBBwTJyQhhBBCCCHEm8zWnpAApdRs4HNgjFIqFbY3YIQQQggh3jyywpFIKMkdmxsSDYCtQGWtdQiQAeiZaFEJIYQQQggh3li23jE9TCl1BygP/AFERv8rhBBCCPH/SVY4EgkluWNbT4hSajDQG+gb/ZQDkDIX9BdCCCGEEEKkaLbOCakNlABOAGitA58u2SuEEEII8f9I7notEkpyx/Y5IRHafGt1DaCUSp14IQkhhBBCCCHeZPH2hCilFLAhenWst5VS3kBLYG5iByeEEEIIkWLJvR5EQknuxN8I0VprpVR9oBvwACgIDNJab0/Gh2aRAAAgAElEQVTs4IQQQgghhBBvHlvnhJwAQrTWsiyvEEIIIQTIvR5Ewknu2NwIeR/4Wil1FXj09EmtdfFEiUoIIYQQQgjxxrK1EVI5oTvYe/FyQl+aqGqVLprcIcQpn1NyRxC3ey4pNDDAySFNcofwn5JqRMpdXfvJAK/kDiFO2yp3Te4Q4pTK3tZDeNLq5RGW3CG80I67j5M7hDi5ZkiX3CHEqfCVW8kdwotl+yS5I8Ak93oQCSS5Y+PqWFrrq3H9JHZwQgghhBDCNkqpKkqp35RSl5RSfeLY3k0pdUEpdUYptVMplTs54hQpS3LljQxIE0IIIYT4j1NK2QEzgKpAEaCxUqpIrGIngdLRw+n9gLFJG6VIaZIzb6QRIoQQQgiRACadtD/xeA+4pLW+rLWOAJYDX8UsoLXerbV+Ol7yMJDjdb8nwjaSNzbOCVFKlQXyxCyvtV70OgIQQgghhBDxU0q1AdrEeGqO1npO9P/dgOsxtt3AvLDQi7QCNr/eCEVKlFLzxpabFS4G3gVOAVHRT2tAGiFCCCGE+L9l0vFfZn6dok8c58RbMB5KKS+gNJD8s/v/TyVl7qTUvLGlJ6Q0UETrJP6kCSGEEEIIWwUAOWM8zhH9nBWlVCWgP/CJ1vpJEsUmUq5kyxtbGiHngGzAzdexQyGEEEKIN0EKuz57DMivlMqL+SSyEdAkZgGlVAlgNlBFa30n6UMUT6Wg3Em2vHlhI0QptR7zsKu3gAtKqaOApeWjta75uoIQQgghhBAJp7WOVEp1BLYCdsB8rfV5pdQw4LjWeh0wDkgDrFLm+1Rck/O5/2/JmTcv6wkZ/29/uRBCCCHEmyrlXMw201pvAjbFem5QjP9XSvKgRJxSUu4kV968sBGitd4LEN09c1NrHR792BnImhjBCCGEEEIIId58tswJWQWUjfE4Kvq5MokSkRBCCCHEf0BSr44l3hySO7bdrNA++uYlAET/3zHxQhJCCCGEEEK8yWzpCbmrlKoZPTEFpdRXwN+JG5YQQgghRMqWglY4Ev8xkju2NUK+BZYqpaYDCvNdFZsmalRCCCGEEEKIN1a8jRCt9Z/AB0qpNNGPQxM9KqB/3S/I/nZaTFqzeO9Rjv15/YVlx3jVwMXRke/mr34t+zaZTIzr251bATcwDIPGbdpTuvzzN4c8tm8vy+f+gMlkIptbDnqOmoBhPBvhNmfcSM6fOE6/CdPI6upmef7I3l0smzWdT6vXoJZXi9cS8/yly5i/ZBlaa8qU8GTyqO+ttg8cOZq9+w+AUv9j777DojgeP46/dzk6ogJW7F2Rbm+xxhJ7iTUasURjib2lGFvsXWND7AUVbFixd2PvLVERARtFBcTzuP39cXh6AnpShK+/eT0Pj9ztHPvxdm5vZ2d2FpXKhDEjhlG9cuU0WTek33u2aPJ47ly7AujOGmg0Gn6bNZ8cufJ8NMv4oQMIexiMLMt07t2PijVqJip36vBBVi2ch1arJU++/Pw2dRayLPMkLIxJIwcT9+oVFpaWjJw8gxy5cvP08SOm/jacmOhoZFnGq/8g3Cvq3sMFU/7i6vlzgIKTuyc/D//1i+WKePqUv0YMIi42FkVRqFC9Jl369Afg7q2bzJs4jri4V0jAgNHjcHNzT/a927J+LZt914KiUMbFjeFjDetRbGwMI/r04nlkBCpTU4b9OY6STs765XduXGfMsEG4lavAkNFj9c9r1Gp6tG+NpaUlf6/2TXb9acFz9joscuVD0Wg40alWuq4rKSOa1yVPdlu0WoXVR89y7m7ifdekjk0wU6mQJHj2IpqJWwLRasG9sCMdq5dDlmQURWHDiQuc/jcoTXINalKT3Nl0uXxPnOfCvUT3omJM24aYq1QgQfjLGKZvP4BW+265V62KOBXIwyT/QJ6+jEmTXCv8trLCbwsK4Fm2DNNGDTVYPnbO3xz+5ywSun3X7317UbWcB7FxcXQb9jtPIsKRkOjZvg3ff9cgTTKB7vO6Yfp4Ih6HIcsytdt2poRnRYMyr6KjWTd5NK/jXgESORzz03rACAAuHz3AiQB/4t+8wfWbulRr1iZVWeaPHsGT0BBkWaZF159wq1ItUbkLJ46yxWcxWkVLzryO9BkzCVmWufLPSfyXLkIbH4+5lSV9/pxIVjt7AK6eOYWf90Li4zVISAyfvQAra5vPzrhyawArt+5AQcGjTCmmDhmQZLkF6zbiuzuQkT26Ur9aZdYG7GLF1gC0WgVZlvBq2Yy2Db/97PVnFHE2W0gpUXeMuyYESZK+A34GBkmS9IckSX986jWp8Z1HabJZWdB36SZ8j5+jY41yyZZtUcEZTbw22eUpscd/I88jI5i+0pfWP3bH13thkuU2LF1I6x+7M32lL88jI9i7eZN+2f1/b3P/9i2DA2wAjUbN5pXLsM5im2Z51Wo1S1etYfakCQT6b+T85SscPXnSoEy/Ht04snM7R3Zso02zZoyfNjPN1g/p9579NPw3pq30ZdpKX2o3aY6llfVHGyAAOzb58jwigvnr/GjXrSerF/2dZLk1i/+mXbeezF/nx/OICHb6bQBg6expFCxWnL99N1OwWHG8Z+pmq14yYwq58joyf50fPQcPZ+XfcwG4cPokV8+fY/LiZcxcuZ47169x4/LFL5Zr5YK52OfIxbx1fvw2bTYnDu4j7lUsAHMm/Em9Zi34e70/fy1YSh7H/EmuE3QNBf/1axgxdgKL1m7k5tUrnD9tWI+Wzp2NhaUFK7bs4Ju63zJ/2hSD5XMmTSC7vX2ivz178gRss2ZLdt1pKXTXJm7NHfvpgumggVtpslpZ8ssyfzacvECHap5Jlpu4OZBBKzYzcPlmLM1MaVnBFYC2VTzYd/k2g1ZsJvDyLVpVck2TXPVcSpLVypJhq7bhf/oSbSon3RCdvu0gI9ZsZ8Tq7ViamtLU810Ds4B9dgrltCNem3b7W7VGw3K/zUz/dRg7fBZw8fpNjp89b1CmV8d27F/tw77VS2nVoB6TFnoDMHmB7t/9q31YMnEsS9ZvQqPRpFm2s4E7iHnxnF5T5lO9RTsOblydZDn3Og3oPfVvuo2bTsTjMM7sDQDAwTE/dTt0xdbeIdVZDm7z50VkJGOWrKJxx65sWbEkyXJbl3vTuFNXxixZxYvISA5t9wfAz3sh9Vp9zxjvVZRwccd3wRxA992xcfF8Wnb7ibHeq+k3fgpm5hafnU+t0bBiSwBThw5g+9+zuHTzDsfPJ94HPouMIuDwUSzMzfXP5XKwZ+6vwwhc+je/9urOIt+0OZkoCELm98lGiCRJC4G2QD90w7HaAAXTM1S5ogU4898DAI7fuo9KlnG0y5qoXBYLc2qUKcb64+cTLUuNCyeP4VG5GrIsU7l2PeI1Gh7ev2tQ5uH9u8THx1O5dj1kWcajcjXOnziqX+4zYwptvHom+tvLZ8+gpIsrllZWaZZ3Z+A+bKyt8HR1xcrKCnfnsmzaut2gTM4cOfS/x8TE6LZkGkrP9+ytM0cP4+SRfIP0rbPHj1Kuqi5L9br1iddoCL5nmCX4ni5L9br1kWWZclWrcebYkYRl92jZsQsALTt20b82/OlTPCrqJopz9ihHXNwrQoLu8++Na9jlyIGNrS1mZmbkL1yYfdu3frFckgTq13FotVpePn+ObGKCytSMS2dOoygKDVu0BiBr9uzY2Cbf+D1yYB9WVlaUdnbFwsqKUmXLErjDsB5du3SBBk1bANCua3ciwp+hTTgoXb/ch2x2duTKk9fgNf/dvsWt69f4tvGXuR9W2G4/Xj979EXW9SHPIvn1PR8nb9/HRJZxzJ543/U8Ng4AlSwjy7LBfPHW5rp5P2wszHmlfpMmudwLO3Lx3kMA/vn3ASayTJ7sievCi1fv55J4/zxdl1oV2HTqUprkeWv3oaNYW1rh7lQaKwsLXEuXxH/PPoMyOe3t9L/HxOp6HADuh4Tg6VwGgML5HTEzVbHn6Ik0y3bnwlmKuZVDlmWcKldHGx/P0xDDXi1LGxvca9YDwMzCAlt7B6Ke6m4mnLdIcYq5epIWO9srp0/gUrEKsixTvmZttBoNoUH3DcqEBt1HGx9P+Zq1kWUZl4pVuHxK9368Ub+mUl1dL1GFmnV5eO8/AI7u3IZN1mw4V9D16DrkzoNKZcwobUN7jp3A2soS99IldduxZHG27D+UqNyIGXNp/W1dTN470VSnUgVKFNIdUlRzd0WrKETHxn52hoyiVb7sj/D1EPXGuJ6QKoqidAYiFUUZA1QGSqRnKGtzcx5FvtQ/fv1Gg6Nd4rOo/RrV4PD1f4l9rU60LDVioqPJ5ZhP/9jMwoLQB4ZDIkIfBGH+3hmjnHkdiYnWjVQLWL8aa1tb3CtXNXjNg7v/cufaVX7ok3Q3dUoFBT8k63sHl3ly5+JZeESicr+Om0DVBt/hH7CDsSNGpGmG9HrP3op+8YLIZ09p0Pr7T2d5+ZI8+QroH5tbWPDwgy/sh0H3DbLkzpuPmJe6OhcfryF/4SIAOBYsRHy87uxqzty5OX5Qd4B0/MA+tPHxBN+/R8myroQ/eczjsBCiX7zg/r93iIxIPHdDeuXq0ucXIsPD+bltC6aPHkWjlm1QqVTcvX0TU1MzhvXoQt8Orflr+CA0b5L/rISFPMTmvR66HDlzERVhWI/i4uIoWKQoAGZmZsiyzOPQEKIiIwjcsY3Bf4xJ9HdnTRhL5569kU2M6nj9n2ZtYcajqBf6x681GhztEzdCQDcka+aPLXijiWfzGd3B/arDZ6hRpihzurakRumiLDt0Ok1yWZmb8fj5u32qWqMhbxKNI4CxbRsyqVMT3sTHs/2cbihkQ/fSxMS95nJQaJrkeSs4NIysWd4N/cmTMwfhkVGJyo2eOY9aHX5kS+AB/ujfC4BiBQty8vxFXqvVXLx+k5cxsdx/mHiIWUq9jo0h+3u9rqZm5oSHPky2/IuIcCIehVK6YtL7sNSIjY4mR953jXtTcwsePTTcvz56GISZxbseBoc8eYhN2L+aWVgQuGk9AIcDthCf0GMUFnQfCRjftzuje3ZmxYxJKcr3IOwxtjbvtmNuB3ueRRlux8ATp4h68YKuLZM/GbHA148s1lbYpOFJOkEQMi9jjgpeJfwbK0lSXuAN8NHxMJIk9ZQk6awkSWevH9n3saIp5lkkP1mtLNjyz5V0+fspFf3iBYd376DnkJGJlnlPn0TzTl1SdKYpLUz4/VeO795Bi8bfMWXO3AzJkJSPvWdv7dm8ERvbrJ8cipXW3h8a1nPwcOJevaJv+9bs2OSLmbk5JiYmuJQrT/nq3zBu8C/82qcndg45kKT0PeB+P1fg9i045MrF376bGfDHWHb6bSAy/BkajYaXL57TbcAQZixfS1REBKuSGQKWWtPHjqbmtw3Ilt3O4PlNq1diZWNDtVp10mW9/8tGrNnO0NVbMZEl6jjpzus0KVeWg1fv0H+ZP4eu36F3vbQ/oP2UP3x38dvaHZhIMt+ULoaVmRnVSxdl6YFTXzzLW2MG9uXg2uU0rVuL6UuWAzDsJy+y2drynVdv/pw9n6xZsqAyMcmQfBq1mo0z/6JQGWfyFSuZIRk+pl2v/pw5fIA/e3ZOuH5FR6uN53lEOD/9OoZh0+dx/9ZNju7alubr12g0zFq5jj9+Tr6n+9i5i/jv3c+Yvj+l+foFQcicjDkaDpAkKRswFTgPKID3x16gKMpiYDFAr8UbjOoI6l6nEi4FdWd6Il7Gkjt7Fv0yc1MVIRGGZ1VcC+Uli4UF87u3RgIkSWJGl+YMWrHFmNUlsmz2NK6dOwNAdoccPA55d8ZLHRdH3gKGI9DyFijI69dx+sdPQkOwtrHhvxvXeKNWM/aX3oDugsKJQ39h6F/TeBkVxYali9iwdBFarZZDOwOQTVQ0bf9DijK/VTB/PnYGBuofhz16jIO9XbLlB/b+iWrbtie73Fhf4j1zLFgIgIunTuBWMfkL6RdPn8zls7osdjlyEPbwgX7Z67g48iX8nbfyFSxkkOVR6EOss+jqnImJiuB7d8lfuAjB9+5iYqL7mGS3d2D8vEX6jH3ataRYad1wkK59B9C1r66Ha/Koodg55PhiuU4dPkTj1m2RZZnSLm5YWFpy/dJFcjvmw9LKSn/huEu58vx380ay72Eex3wcffmuHj198phsdob1yMLCgqC7/1G0REnUajVarZZceR15FBJC0N3/CAzYph+eNWfSBCKePSX0YTCdmzVCURQURWFAty7MWroi2Rz/a7xqVaRsgYR9V3QMubO9600yV6kICX+e7Gvj1BquBodRrlgBAq/cxtEuK5O26E7c+J++TC2n4inO9UONcpTJr2u0R8bEkivru32qmUpFaORHcmk0XH/4CI+i+Xn6IgZTlQm/ttJdLCxLEsOa12HG9oOERb1M9m8YI3/ePDw/fEz/OOzJU+yzJ3/tUP8uHam9dz8A5mZmLJ08Tr+sfpeelC1RLFV59qxYzL1rlwHIkt2OyMdh+mVv1K+xz5svydetnzYOa9usNPL6OVXrf9+6+bO4efEcANnsHXga+q4X6s3rOHLnM9y/5s5XEHXca/3jZ2FhWCX0TpR08+C3+bqv7TtXLvLwrm44ll2OXGSzdyBHHt3EKfmKFOXejRtUb/h5QycL5MnFnmPv5qx59Cwch2zvtmP48+fEvnrFgEnTAd3+c5L3cgDqV6vMjbv3+HP+Ivp3aodHmdKfte6MJi4uFlJK1B0jekIURRmnKEqUoih+6K4FKaUoyu9pHcR7/yn6+/jT38efM/89oHxR3bCVqiULEa9VCIkw/ML0OXCan7030sd7E9O3H0QTr01xAwSg6y9D9BdAe1SuxvmTx9BqtZw8EIiJSkW+QkUMyucrVAQTExNOHghEq9Vy/uQx3CtXw7ViZWat9WPmmk3MXLMJWZYZOXU2jgUL6Z+buWYTDrlyU7NR41Q3QAAa1KtLdEwsFy5fITY2lgtXrtKqSWODMqffu9hz6ao1BhcGptSXeM8AIp895UVUJA1aJT8Uq+fg4cxbt4l56zZRvmp1zh7XZTm6bw8mKhP9MKa38hfWZTm6bw9arZazx49Rrmr1hJyF8F+jO0j2X7OC/IULAxD+5LH+gu/l82Zh55CD7AkXnYYG6xoXd2/dJOjuf7Ts1OWL5cpia8u5U8cBCAm6z6vYWIqWLE3lb2qhefOGsIe6cew3r1wmT77kL0yvVrsusbGx3LhyhbjYWG5evUrdRob1yMnVjd3bNgOwfpk3dnb2yLLMkg3+rNy6k5Vbd1KqrDNu5SrQf8Sv/DltFqsSnu/QrQe2WbN+VQ0QAJ+Dpxm0YjODVmzm3N1gPIvo3uPKJQoRr9US8sHBvo2Fmf46EZUsUyZfHh4nHMzHa7XULKM7kK5dtgRv4uNTnGvVkbOMXLOdkWu2c/HuQ9wK6w6gKxQrQLxWS1jkC4PyNhZm+utEVLJMKcdcPHn+kqvBYQxduZVhq7YxbNU2tIrClC37U90AAahfoyoxsbFcvH6T2Lg4Lt24RfNvDXvNzlx+19u93G8L5ma6a2aiXrwg8rnu/7B6SwCyJFG1nEfq8nTpSa8p8+g1ZR7F3Mvz78WzaLVarp08imxiQo4kJnbwmzOFN+rXfD9wVKrW/aH2fQYwZskqxixZhXPFKlw+fQKtVsuZQweQTVTk/eAERt6ChZBNTDhz6ABarZbLp0/gnHAN2+OEa1k0Gg1bV/pQtkIlAKrUb8iL51HEvHyBWq0m7MF98n6wTzLGt1UqERP7iks3b+u24607NKtdU788l709B1cs5sCyhRxYthBrS0tGdP+R+tUqE/b0Gb/8NY3W39ahWZ2aya1CEISvULI9IZIktfzIMhRF8U+fSLDj/HU8iuRjfvfWaLUKq46c1S+b49WS/j7ptmoA6rf6nkv/nGLwD22RTWTadu+lXzakc1umrdRNMdrGqye+SxawYelicjk6Ur9lyqdgTA0LMzO6dmhPv2EjUAAPFxdqVK1Cr4FDcHUuS2+vH5m3xJshfwQjSRJmpqaMHTk8TTOk53u2228D2ewdyGLk7ErftWnH+VMn6NO+FbIs0+mnPvplfdu3Zt463YxcHXr0ZvXC+axdspDcjvn4rnVbALoNGMykEUP5uW0LzC0sGZlw9u7apYus914ISNjYZmHo+Mn6vzt51FA0b94gSRLN2nXCPmeuL5bLq/9AZo0dTZ/2rUCB6vXqk9tRd2bzu+/bM36orocmu509nX/ul+z7ZmZmRvO27Zn0u64elSnrgmelKowbPoSSZcvy/Q8/4tXnF0b0/Ykuzb9DpVIZTMObWZSb74e5fU6QJKquO8KTI7u5s+CvL7LuXRdu4F7IkdldW6LVKqw7fk6/bEaXFgxasZksFuYMalILWZJAgidRL1l5WNdbtunUJVpWdKFpeWcURWHt0XPJreqz7L18C5dCeZnyQ1O0isLGE+9mLprYsQkj12zH2tycfg1r6HM9fR7NuqNpO+nHh8zNzOjcqhmDxk9GQcGtTGmql/ek7+jxuJYuSY92bfh7tS8PQmbq911/9Nf1mAaFhDFw3CSQwNLcgikjB6dptvLffsfdy+dZOKwPsixTs00n/bKFw/rSa8o8Hj+4z6P7/yGbmLB4lO5zVszNk7odunLjnxMc9F2JoihcOryPK8cO0Xvq/BRlqd2sFdfO/sPo7p2QZROade2uXza6xw+MWbIKgKZdvNiybAnbVnqTI68jtZrqvsb3+W3g5iXdtnQsWJiWXrohT3Y5cuFRtQaTB+p6cPLkL0jdFp//PWZuZsYPTb9j8JSZKIqCW+kSVPN0o/+EKbiULE731i2Sfe1Un5Wo37zBf99B/PcdBGDRmFEUdnRM9jWZiRZxNltIGVF3QEquO0iSpGUfeZ2iKIqXMSswdjjWl9a8nFNGR0hSRYfMeUHe6WeZd7YSC9OMucbmf9Xb2Zcyo9e/dfp0oQywvv7AjI6QJPMMur7sU4a5ftlrtz6Hb8irTxfKAHmTmAEyM6gqvfh0oQySp9I3aTzP4+d78OTZFz3GKZDTIcP/z0La+JJ1J7PWm2S/wRRFSZu76AmCIAiCIHyFxLh+IaVE3THuwvS3Nyt0AvRzhyqKkvnGYQiCIAiCIAiCkOl9shGScLNCK6AWulmxWgP/pHMuQRAEQRCETE2czBZSStSdTHqzQkEQBEEQBEEQvl7GDMf68GaF4XziZoWCIAiCIAhfO604nS2kkKg76XSzQkEQBEEQBEEQhOR8shGiKMrbW9L6SZIUAFgoipL8rXYFQRAEQRD+HxAzHAkpJeqO8bNjVQEKvS2fcLPClemYSxAEQRAEQRCEr5Qxs2OtAooCF4H4hKcVQDRCBEEQBEH4f0uM6xdSStQd43pCygFlFNFvJAiCIAiCIAhCGjCmEXIVyA2EpXMWQRAEQRCE/xni9KyQUqLufKQRIknSdnTDrrIA1yVJ+gd4/Xa5oihN0z+eIAiCIAiCIAhfm4/1hEwDJGAy0Py9598+JwiCIAiCIAiC8NmSbYQoinIYQJIk07e/vyVJkmV6BxMEQRAEQcjMxOWyQkqJuvPx4Vi9gZ+BIpIkXX5vURbguLEr+KVBtZSnS0dW5qYZHSFJI7cezOgIyepVt1JGR/if8kr9JqMjJCks6mVGR0jW3voDMzpCktrtmZnREZLkNH1NRkdI0oIztzM6QrLaVHTJ6AhJymlrndERktRvxbaMjpCsleIrSRD+p31sONZaYBcwERjx3vMvFUWJSNdUQqYjGiCCIAiCYEhMsyqklKg7Hx+O9Rx4DrT/cnEEQRAEQRAEQfjaGXXHdEEQBEEQBMGQGNcvpJSoOyBndABBEARBEARBEP5/ET0hgiAIgiAIKSDOZQspJeqO6AkRBEEQBEEQBOELEz0hgiAIgiAIKSBmOBJSStQd0RMiCIIgCIIgCMIXZlRPiCRJV0g8fO05cBYYryhKeFoHEwRBEARByMzEDEdCSom6Y/xwrF1APLobGAK0A6yAR8ByoEmaJxMEQRAEQRAE4atkbCOkrqIoHu89viJJ0nlFUTwkSeqUHsEEQRAEQRAyMzGuX0gpUXeMvybERJKkCm8fSJJUHjBJeKhJ81SCIAiCIAiCIHy1jO0J6Q74SJJkA0jAC6C7JEnWwMT0CicIgiAIgpBZiZPZQkqJumNkI0RRlDOAsyRJWRMeP39v8Yb0CCYIgiAIgiAIwtfJ2NmxzIFWQCFAJUkSAIqijE23ZIIgCIIgCIIgfJWMHY61Fd2UvOeA12m18g1rVuG7eiUoCi7uHoyeOMVgeWxMNP16eBEVEYHK1JQ//pqCk7MzsbGxDOrdk/CnT0CS+MGrB01btSbi2TN+6tJR/3rNmzcUKlKUmQuXpDjjmhXLWbNiOYqi4ObpycRpMwyWb960CZ9FC3j9+jWt2rblpz79DJY/ffKEH75vTYFChVi8fGWKcyTl11bfkiebLVpFYdXhfzjzX3CiMlN/aIq5qSkS8PRFNOP996LVKngUzkfnb8pjIsu8Ur9hgv9ensfGpTiL37o1+K1dDYpCWTd3Ro03HKUXGxPDkN499Nty5Li/KF3WGYBTR4+wYMY0NPEaJGDh2g3Y2Njg8/dcDuzeBYCFpSVjps3CMX/+DM2lfh1Hf68u+tdr3ryhQOEiTJm/8LNybd2wjm3r1wEKpV1cGfLneMNcsbH81rcXz6MiUalMGTR6HCWdnAjw28C29evQKlpkSaZFx040bN4KgLjYWMYMGcCTR2EgSdRr3JR2Xbt/Vi6tVsus34bxOPQhsizTpntvPKpUT1Tu3PHDbPJehFbRkitvPgaMn4Isy4z/pRcxL1/o/lZ8PLKJCRN91vI0LIw5f44gLjaW3PnyM3jijER/83ONaF6XPNlt0WoVVh89y7m7iev/pI5NMFOpkCR49iKaiVsC0WrBvbAjHauXQ5ZkFEVhw4kLnP43KNWZPsZz9joscuVD0Wg40alWusIJqf0AACAASURBVK7rQz6r1+Czei2KolDe3Y1Zk/4yWD7k99GcPnMWSZIwNzdn2vixuJZ1AsCrb3/u/HcXgBaNGzGoz89pnq9b7Uo42NqgKAoB565x/eEjg+UWZip+qlsVC1NTFBQeRb1k5eF/9MvrOpfAo0gBQCE6Ts3fe46mOtP6VStZv2oFiqLg6uHJ2MlTDZZv8/dj+ZJFqF+/pnmb7+neuw8ARw7uZ860qcRrNCBJNGjchJ/69k91nrd8vL3x9vbWbcsKFZgzd67B8sGDBnHq5En9tpwxaxaurq4A1KtTh+fPn5M9e3b2BAamWaa3xrVtiKNdNrSKFu8Dpzh1O/nP1JyuLbE2N6PbwvUGzw/4rgYehfMzdNU2Hj9/meYZ05qYZlVIKVF3jL8wPZ+iKG0VRZmiKMr0tz+pWbFarcZ31Qr+nDSVVf7buHr5Ev+cPG5QZv7M6VhaWuG3ex916zdkxsRxuuen6xorG3fuZfr8haxe5o1Go8HOwYGNO/bof0zNzKhTv2GqMq5evoyJ02fgt2MXVy5e5OTxYwZlihUvztBffyN33rxJ/o3fhw/DIUeOFGdIzncepclmZUHfpZvwPX6OjjXKJVluvN9e+vv40c/HD0tzU1pX0n0ZdalZga1nr9LPx4+rwWF0r1M5xVk0ajV+a1bx6/hJ+Gzw5/qVy5w9edKgzOI5M7GwsGRtwG5q1avP3Cm6xoBarWbe1En8NHAwa7btZOqCJViYmaFWq9kbsJ3J8xexettOcubOw5K5szI8l529A6u37tD/mJqZUevb+p+da+v6tQwZM575q325dfUqF06fMiizfP4czC0tWeq/nep167Fo+mQAHHLkZNTEqXhv2spPg4ayYbmP/jUzx/+Jja0tS/23s8jXn28+MxfAvi2beBEVwUSftTTv7IWfz6Iky/kvW0LzLl5M9FnLi6gI9m/1B+C32QuZ6LOWiT5ryVOgEAWLlQDA0sqShq3b41ap6mdnSkoDt9JktbLkl2X+bDh5gQ7VPJMsN3FzIINWbGbg8s1YmpnSsoKu/ret4sG+y7cZtGIzgZdv0Srhc5GeQndt4tbcL995rFarWbpqDbMn/UXg5k2cv3yFox98DjxdXdi+fi1HdgVQsZwnv0/QfQ6WrFjJw5BQArf6s3Xtarbt3M2Tp0/TNF+1UkXIYmnB5C372HPxJo08yiRZ7uSte0zeuo8Z2w+Sw9aaqiWLAFAohx3uhfOzKPAYU7bux/fE+VRnUqvVrFu5nHFTprFuawBXLl3k9HHD76eixYsxaMQocuXJY/C8jU0WRo0Zz+Y9+5g6Zz4Bm/15/Cgs1Zne5lqyZAlz581j/8GDnD93jiNHjhiU8fD0ZMeuXRw7cYJKlSvz26hR+mWdu3TBq1u3NMnyoWbly5LdxgqvBetYefgMXjUrJlu2bWU3NPHxiZ4vktOe4rlzEK/VpktGQRAyF2MbISckSXJOyxUfDNyDlbU1zq5uWFlZ4eTsws6tWwzKXL5wniYtdWd5u/TsRcSzZ2i1WoIfBOHi7g5AgUKFMTU15dA+w7M658/+g+bNGxo1a57ijIG7d2NtbY2ruwdWVlY4u7qxzd/foIyzqys1atZCQkr0+n17d/Py5Qs8ypVPcYbklCtagDP/PQDg+K37qGQZR7usicq97d1QyTImkqy/EMpMZcLBq3cAOHL9XwrltEtxlkP7A7G0ssbJ1RULKytKl3VmT8BWgzJXLlygUYuWAHTs3lO/LbdtWE82O3uq1PgGgDyOjqjMzNAmfAlFv3iBVqsl7tUr7B0+rzGXHrned/HsWTRv3lC/SbPPynXs4H6srKwo7eyChZUVJZ3Ksn9ngEGZ65cuUL+pru5+/2M3IiLC0Wq1VKpRk0LFigHgXrESiqIQGxsLwJ0b1+k34jcAVCoVeRw/r9cI4NLpE7hWqoosy1SsWZd4jYaQoHsGZUKC7hGviadizbrIsoxrpapcPGXYONdqtYQ+uE+tJi0AsMmajSr1GmBqbv7ZmZLiWSS/vufj5O37mMgyjtk/Xv9lWTa4ENDaXLc9bSzMeaV+kya5PiZstx+vnz36dME0tjNwHzbW1ni6uWJlZYW7szObtmw3KNO+dSuyZdO9fzWqVCY6OhqAG7fuUKJYUV0DPHs2cjg4sGbjpjTNVyZfbq4F696XS0EhmMgyObLaGJSJU2v4J2F/p9FqiYp5hZ2NFQDfOBXjRsgj/bYOfxmT6kz79+7WfT+5uWNlZUVZF1cCtm42KOPk7Eq1b2oiS4b7fo/yFfAopzspVKxECVSmpoQ8DEl1JoAdAQHY2NjgWa6cblt6eLBxg+FlmR07diRbtmwA1KhRg5cv3/Um/NC5M1ltbdMky4cqFS/Eqdv3AThy4y4qE5n89tkSlbO1tKB22eKsPHwm0bL+jWqw/NA/iZ7PzLSK8kV/hK+HqDfGN0KqAeckSbolSdJlSZKuSJJ0OTUrDg0OJst7O8OcuXMTGW544/W4V68oXLQ4AGZmZsiyTFhICIWLFuPc6VOo1WquXb5ETHQ0wQ/uG7x28/p1FC5aDFk29r+Y2MPgIGyzvjuwyZ0nN+Hhz4x6rUajYf7Mmfw+bvynC6eAtbk5jyLffbm8fqPB0S7xDh9g2g/NmNutFW/i4/E7fUlfvln5sgA0cC+DKhXvU6JtmSs3kREfbMu4VxQqUhQw3Jb37v6HBHT7vhU/NGvMxN91Z+0sLCxo1LwlfwwZQIfGDYgIf0bvAYMyPNf7tm1cT6GiRT+7joWFPMQmy7tcDrlyERX5Ya44ChQ2zPU4zPBAxnf5UqxtbLCysuLp48cATB/zOz3bNGeg1w8EB93/rFwAsdEvyZXHUf/YzNyCsAcPDPM/eICZxbvGRI48eYmNNhw2cWLfblQqFSWd06eHwdrCjEdRL/SPX2s0ONonboSAbkjWzB9b8EYTz+Yzuvq/6vAZapQpypyuLalRuijLDp1Ol5yZQVDwQ4MDzzy5c/Hsg8/B+1asW0+ZUiUBcC3rxPWbt4iKek5QcDChjx7xMDRtzuq/ZWlmSvjLaP1jtSaenLZZki1va2mBg60Nl+6HJDy2xD6LNYOb1GZI09pUKVk41ZlCgoOxtX1Xn3Llzk1EePLvWXICd+1E0WpxcXNLdSaAoKAgsr73nZQ3b16efaRnavmyZTg5OaXJuj/FxsKcsMh3n8m4NxoKOCT+ThrSpCb7r94m5rVhw791JVdevopLclixIAhfJ2OPnhoCxYFv0d0dvTEfuUu6JEk9JUk6K0nS2Q1rV6c+5Qf6DBqKbbZsdGzRhKnjx2CbNSsmsolBmRvXrul7UTLCxLFjKFPWmVKlkx5a8CUNWbWVgSs2I8sS9Zx1BxdL9p2keumizO7aEktTYy8NSnva+HiePX3K2OmzmL9yNTevXmXbxg3ExcVxKHAPv0+cwtqA3TjkzMnE0b9leK733bp+jUbNWn6xTO87f/okgQHb6Dv8VwA0GjVarZZSzi4s3riFgkWLMXvCmAzJBnDyQCDFyqRp52mKjViznaGrt2IiS9Rx0g0Pa1KuLAev3qH/Mn8OXb9D73ppM0zsf93kWXMIDXvEpD//AKBLh3Y4lS5F0w6d6NF/IDkcHDBJxQmL1JJlGa/alfg37CkPwiN1z0m6hsnsHYdYf/w8NUoXw9bSIsMyvnX33zvMnzmd3r8MRKX68vvYSRMnEhoayuSpUz9d+AupUKwA2ayt2HDyksHzNhZmfOtSkhkBhzMoWcopivJFf4Svh6g3xk/RGwQgSVJO4JN7d0VRFgOLAW48CE3yf583f35eBu7RP37y6BHZ7e0NylhYWnLvvzuUKFUKtVp3kJXH0RFZlpm54N3F5u2aNqLUe2d7jh0+iKIo1Kz7rTH/vWTly1+QwOe79I8fhT3C3t7BqNfevnmDp0+e0KBmDX0l6N+rJ3MWLk5xnu51KuFSUHftScTLWHJnf3e20NxURUhEVLKvjVNruBIURoViBdhz6SbXHj5iyErd0KTSjrkolNM+2dd+St78+Tn83nC4J48fkd3ug21pYcn9u/9RrKThtsyZKzcOOXPqLzgvWrIk169cwjZhOEFZN92wuzoNGuG3dk2G52ra5nsAThw5jKIoVK9T97MyAeRxzMfxA/v0j589fky27B/msuDBvf8oUqKEPtfbHoq7t28zf/JfdOrxE6VddD0Nb5e16dwVgMat2zJp1HCj8qyaO4PrF84CkN0hh0GPi/p1HHkKFDDMX6AA6rh381M8DQvFyuZdXVSr1TwNDaFtzz5Grd9YXrUqUrZAQv2PjiF3tndn981VKkLCnyf3UuLUGq4Gh1GuWAECr9zG0S4rk7botoH/6cvUciqeplkzk4L587Fz77vPQdijxzjYJf68r1q/ge2797By4d/YWFvrn587ZZL+9+YdfqBEwnDA1GhewYXieXTDK5/HvsI+y7vhV2YqE568SPqC5J51KvPyVZy+RxcgVv2GkIgoNFotD8OjeK3RUDBHdq48SHmPjWP+/Ozfs1v/+PGjR9jZG7+PfPb0KUP69aFxi5bU/65xinN8qGDBguwIeDd0MzQ0NMlrDleuWMH2bdtYtXo1NjY2iZanlZ/rV8OjsG7f8+xlDHmyv/tMWpiqePDM8DvJs0h+bC3NWfZzeyRAkiQW9GiD9/5TmJmqmNFFN7RVliQmdWzM7747efiRz7UgCP/bjDqlJUlSU0mS7gD3gMPAfWDXR1/0CbXq1Sc2JoZrly8RGxvLtSuXafjB2HoXN3e2+/sBsGLxQuzsHZBlmRdRUURF6s6C+a1fiyzJVKj87kzmtk0bKVUm9T0Q9ep/S0xMDJcvXiQ2NpYrly7SpLlx15is2rCJ3YeOsPvQEeo3+o5CRYqkqgEC4L3/FP19/Onv48+Z/x5Qvqju4LBqyULEaxVCIgx31lkszPXXiahkmbIFcvMoSvflnjub7qBRBjpU90xyZiFj1ahTj9jYGK5fuUxcbCw3rl7h28aGHWVl3dzYuVl3Pc0a78Vkt7dHlmUatWhFVEQEL55HoVaruf/fvxQtUZIChQsRGxNDyAPd7Conjx7BIWfODM/11g7/TZRIYS9XlVp1iI2N5da1K8TFxnLr2lVqN/rOoExpFzf2bNNdI7Vh+VKy2+lyPX38mImjhvFt0+bUbvju4EaWZewcchCYcM3L4b27yZLVuLHfP/QbpL+Y3K1SFS6dOo5Wq+X0oX2YqFQ4FjQc3uJYsDAmKhNOH9qHVqvl0qnjuFasol9+ZNc2zC0sKVAk9Qer7/M5eJpBKzYzaMVmzt0NxrOIroFYuUQh4rVaQiIN67+NhZn+OhGVLFMmXx4eJ9T/eK2WmmV0+WqXLcGbJC6S/Vo0qFeX6JgYLly6QmxsLBeuXKFVU8MD470HDrJw2XKmjx9HkUIF9c+r1WqCE65n2H/kCOGRkXRq932qM2355zJTt+5n6tb9XH/4CKf8uQFwLehIvFbL0+fRiV7zQ43ymKpMWHrAcBKHa8FhFHDQXdOW3doKc5WKh+HJn5AxRp1vdd9PVy7pvp+uXr5Eo6bG7ftjY2Pp260rHuXK62fMSisNGzUiOjqa8+fP67bl+fO0at3aoMye3btZ8PffzJg5kyJFi6bp+j/0955jdF/oS/eFvpy6HUSlEoUAqFG6CBqtluAPtsOCvcf58e91dP17HRP896GJ19J7yUbO3Q3mx/lr6ZqwTKsojFgT8D/RANEqX/ZH+HqIemP8FL3jgErAPkVR3CVJqgV0Ss2KzczMaNOhE38MGwIolHVxo2LVaowa2J8yzi508upO74FD+KVHV1o1qIvK1JTfEqZXDQ4O5o9hg5DQncn+/S/DaVf/u3ObkWNSfy2GmbkFHTp3YfigAbpphN3cqVK9BoP69sHZ1ZWuPXqyd9dOZkyehFarxW/DBrb5+7Nj/8FUr/tTdpy/jkeRfMzv3hqtVmHVkbP6ZXO8WtLfxx8bS3OGNauDJOkum3/8/CXLDurGvjcr74xzwlnlB88ikrxI0FhmZma0ateB8SOHAVDG2YXylasyeshASjs7066LFz36D2Rorx50aNwAlcqU4QnbJ1eePHxTtx69f+gAQMHCRWjTqTMAVb6pybA+vZAkCUtra8ZO+7zZsdIrF+iGWgz9I2XDnczMzGjaph1Tfh+FApQq64xHxcr8NXIoJcuUpdUPXfjx53781r833Vo2wUSlYuDvunUtmzeLN2/U7NuxnX07dBcX/zl9No4FCtJryDBmjh2N/+qVmJqbM+j3z89Xt3kbLv9zmpFdOyDLMq28ftIvG+nVgYk+awFo0aUHm3wW4r/Mm5x581K3+bsDobNHDlHK1T3R3x7epa1+woFhnb+ny4ChOHmkbNKGXRdu4F7IkdldW6LVKqw7fk6/bEaXFgxasZksFuYMalJLd+GwBE+iXurr+aZTl2hZ0YWm5Z1RFIW1R88lt6o0U26+H+b2OUGSqLruCE+O7ObOgr8+/cJUsjAzo2vHDvQbNhwF8HB1oUbVKvQaOBhX57L09urK1Dnz0Gq1DP1jNAA21tbs3LieOLWaDt17ArrJDv4YNgSLDyZoSK1jN+5SKm8uhjevi6Io7Dh/Xb9saLM6TN26n9zZs5DfITuaeC1Dm9UB4MbDRwScu8aJW/comTcnw5rVBRTO3X1AZMyrVGUyMzOnbafO/DZ0ECgKzq5uVK5WjeG/9MPJ2ZXO3buzb/cu5kybglarZcumjezYspnNe/axbNECoqNfcv7MP7RsUA+AAcNHUKNWnVRlAl0PqVe3bvT9+WcURcHD05OaNWvSs0cP3N3c6N2nD1On6DINHjwY0G3L3Xv3AlDrm2+IjY1FURQqVahAz1698PLySnUugC1nrlC+aAF8erdHqygsO/iusejdqy3dF/qmyXoEQfh6SMaMFZMk6ayiKOUkSboEuCuKopUk6ZKiKJ+86jS54VgZzcrcNKMjJGni1vRvwKREr7qVMjrC/5wvMeNSSjx9kfrZg9LL3iu3MzpCktrtmZnREZLkNP3zhih+KQvOZM7tCNCmoktGR0hSTlvrTxfKAP1WbMvoCMla2bdj4mkpv7BTt+5+0WOcSiWLZPj/WUgbX7LuZNZ6Y2xPSJQkSTbAEWCNJElPgMx7JCMIgiAIgiAIQqZlbCOkGRAHDAQ6AlmBL3/XLUEQBEEQhEwiM888JGRuou4YP0VvQUVR4hVF0SiKskJRlDlA5ph/UxAEQRAEQRCE/ynG9oRskCRpFTAF3RS9U4ByQOX0CiYIgiAIgpCZZea7UQuZm6g7xveEVATyAyeAM0AoIO7uJQiCIAiCIAjCZzO2J+QN8AqwRNcTck9RFG26pRIEQRAEQcjkxMlsIaVE3TG+J+QMukZIOaA60F6SpI3plkoQBEEQBEEQhK+WsY2QHsAdYJSiKGFAP+BSuqUSBEEQBEEQPoskSQ0kSbolSdK/kiSNSGK5uSRJvgnLT0uSVOjLpxQym4yqN8Y2Qrqiu2N6+4THL9FN2ysIgiAIgvD/kqIoX/TnYyRJMgHmAw2BMuhGrZT5oFg3IFJRlGLATGByOrwtghFEvfmMC9MVRemD7l4hKIoSCWTOW44LgiAIgiD8/1MB+FdRlLuKoqiB9SQ+YdwMWJHw+yagjiRJmfJu2sIXk2H1xugL0xNaSgqAJEk53v4uCIIgCILw/9GXnmZVkqSeQM/3nlqsKMrihN8dgeD3lj1EN7vp+/RlFEXRSJL0HLAHnqVPYiE5X7LuZNZ6Y2wjZA6wGcgpSdIEoDXwW2pWLAiCIAiCIBgv4cBx8ScLCsJ7Mmu9MaoRoijKGkmSzgF1AAlorijKjXRNJgiCIAiCkIl9arz9FxaC7p5ub+VLeC6pMg8lSVIBWYHwLxNPeF8mqjsZVm+M7QlBUZSbwM3UrlAQBEEQBEFIc2eA4pIkFUZ30NgO6PBBmW1AF+AkulEtB5RMdDQsZIgMqzdGN0JSKm/2LOm9ihQJjXyZ0RGSVKl4gYyOkKT89tkyOkKygp5GZnSEJGniM+f9PE3kzHsNorkq3XdJKeI0fU1GR0jStcEdMzpCkvaWaf/pQhmkX50KGR0hSZlzbwGZeHeRKWgz0eF7wlj9vsAewATwURTlmiRJY4GziqJsA5YCqyRJ+heIQHfAKWSAzFJ3MrLeZM5vfEEQBEEQBOGzKIqyE9j5wXN/vPd7HNDmS+cSMreMqjeiESIIgiAIgpACYiSTkFKi7hh5nxBJkuySeK5w2scRBEEQBEEQBOFrZ2xPyHZJkhoqivICIOFOihuAsumWTBAEQRAEIRMTZ7OFlBJ1x/g7pv+FriFiI0mSJ7AR6JR+sQRBEARBEARB+FoZe5+QHZIkmQJ7gSxAC0VRbqdrMkEQBEEQhExMizibLaSMqDufaIRIkjQXDN6lrMB/QF9JklAUpX96hhMEQRAEQRAE4evzqZ6Qsx88PpdeQQRBEARBEP6XiGH9QkqJuvOJRoiiKCu+VBBBEARBEARBEP5/MOqaEEmSigMTgTKAxdvnFUUpkk65BEEQBEEQBEH4Shk7Re8yYDQwE6gFdMX4mbUEQRAEQRC+OmKaVSGlRN0xviFhqSjKfkBSFCVIUZQ/ge/SL5YgCIIgCIIgCF8rY3tCXkuSJAN3JEnqC4QANukXSxAEQRAEIXPTirPZQgqJumN8T8gvgBXQH/BEd6PCLukVShAEQRAEQRCEr5exNys8AyBJklZRlK7pG0kQBEEQBCHzE+P6hZQSdcf42bEqA0vRDcEqIEmSK/CToig/p1UQH29vvL29URSF8hUqMGfuXIPlgwcN4tTJk0iShLm5OTNmzcLV1RWAenXq8Pz5c7Jnz86ewMBUZ9mwZhW+q1eCouDi7sHoiVMMlsfGRNOvhxdRERGoTE35468pODk7Exsby6DePQl/+gQkiR+8etC0VWvda2JjGdq3F49Cw5Ak+K5FS7r27J3ijFqtFp8JfxAeFookyzTq7EXZClUSlVs5ZRyh9+6iKFpGLnw34/KOlUu5fOIoKlNdFSjlUYEmXXumOM/7lvksZVnCtixXvjwz5xhuyw2+61kwbx6vX7+mXYeO9B8wQL+se9cfuXP7NgDNW7Zk4OAhqcriv24N/uvXgKLg5OrGyHETDZbHxsYwtHdPnkfqtuWIsRMo5eTMzWtXGDNsMKZmZgDkzJWbaQu9DV7bq2NbYmKiWbVlh1FZAjauZ/uG9SgolHZ2ZeAfYz/IEsvoX37meVQkpipTfvl9DCXKOAEwc8zv3Lh6GQmJJm3b07h1WwB6tm6KbGKChIQkS/y9zg+AoT1+JPrFCwDi4zWYmKhY4Ov/yYxarZbpvw7lcchDZFmmbY/eeFatkajc2WOH2bBkIVpFSy7HfAyeMBVZlpk37g/u3bqBiUpXr+o0bUH9lt8TF/eKGaOGEhUeDhJ817YD3zRsYtT7lpxBTWqSO5stWq2C74nzXLgXkqjMmLYNMVepQILwlzFM334Arfbdcq9aFXEqkIdJ/oE8fRmTqjwAPqvX4LN6rW4/5u7GrEl/GSwf8vtoTp85q9+PTRs/Fteyum3s1bc/d/67C0CLxo0Y1CfNdq+f5Dl7HRa58qFoNJzoVOuLrfct715tKZTDjnitwpRtB9h/5XaiMgEjemCuUumHMPRc7EvQ00hK58vFlI5NMFXpPgdrjp1j5eEzqc/k44O391IURaFC+fLMnTPbYPmgwUM4eeqUflvOmjEdV1dX9gQGMn78BDQaDZIk0bJFC4YMHpTqPG9lpu/KD41t25C82bOhVbT4HDjFqTtByZad/WNLrMzN6LFoPQAjW9SjcE47ANRv4pmydT8PwiPTPKMgCJmHscOxZgH1gXAARVEuAYmPTFJIrVazZMkS5s6bx/6DBzl/7hxHjhwxKOPh6cmOXbs4duIElSpX5rdRo/TLOnfpgle3bmmWxXfVCv6cNJVV/tu4evkS/5w8blBm/szpWFpa4bd7H3XrN2TGxHG656frGisbd+5l+vyFrF7mjUajAWDCbyOxtc2K3+5A1m/fxbcNG6cq5/EdW4l+HsnQed58264Tu1cvT7KcS5XqdB31Z5LLcuR1ZOhcb4bO9U6zBoharcZnyRJmzZ3Lnv0HuHD+PEc/2JYlS5Tk9z/HkDevo8Hz3osX8TA4mD37D7B5ewDbt27lyePHKc6iUavxW7eakeMm4r3ejxtXr3Du9EmDMkvmzMLS0pLV23ZRs1595k6ZpF+mMjVl5eYAVm4OSNQAWbN0CaZmpp+VZduGdQwaPY45K9dx+9oVLp45bVBm1YK5WFhasnjjVqrWqcuSmVMBuHjmNLevX2XWinUM+nMc23zXolGr9a8bPWMuC3z99Q0QgKlLlrPA158Fvv7kK1SYoiVLGZUzcMsmXkRGMGX5Olp07sbGpYuSLLfJZzEtunRjyvJ1vIiMYN+Wd+su7ebOlOXrmLJ8HfVbfg+A7+K/AZiyYh0Dx09h54Z1+s9GStRzKUlWK0uGrdqG/+lLtKnsnmS56dsOMmLNdkas3o6lqSlNPZ31ywrYZ6dQTjvi32+VpIJarWbpqjXMnvQXgZs3cf7yFY6eNKxvnq4ubF+/liO7AqhYzpPfJ+gaxUtWrORhSCiBW/3ZunY123bu5snTp2mSyxihuzZxa+7YTxdMB52/KY9DFhvqjlvA7J2HGdKkZrJlp247QP0JC6k/YSFBT3UHqCOa1eH0vw9oMGERf27cRZdvyqc6k+47yZt5c+dwcP8+zp0/n+g7ydPDg107Ajhx7CiVK1Vi1G+/A2Brk4WpUyZz8vgxfLyX4LthA2FhYanO9C5X5viu/FCz8mXJZm1F94XrWH3kDD/Wqphs2e8ru/EmPt7guQV7jtJzkS89F/lyI/QxP31bNV1ypjWt8mV/hK+HqDefMc2uoijBHzwVn2TBFNgREICNjQ2e5cphZWWFu4cHGzdsMCjTsWNHsmXLBkCNGjV4+fKlrntsmwAAIABJREFUftkPnTuT1dY2TbIcDNyDlbU1zq5uWFlZ4eTsws6tWwzKXL5wniYtWwHQpWcvIp49Q6vVEvwgCBd33cFQgUKFMTU15dA+3dmmG9euMny07ktepVLhmD9/qnLeOHea0uUqIssybtVqEh+v4XFw4rNObtVqkit/wVSt63Ps3BGAtY0NHp66benm7o7fRsNt6eruTu06dZBkyeD5GzduULxECSwsLLCzsyNHjpysXbM6xVkO7w/EysoaJxdXLKysKFXWmT0B2wzKXL14gYbNWgDQwasHEeG6bfkxURER7N+1gx979TE6y/FD+7G0sqJkWWcsLK0oUaYsB3cGGJS5fvkidRs3BaB1Zy8iI8LRarUc3BlAiTJlsbKyoqSTM5ZWVhw/tN+o9Wq1WoLv36Nhy9ZGlb9w8jhulaoiyzKVa9clXqMh5P49gzIh9+8Rr4mncu26uvpXqSrnTx776N99HPKQ4k66BkCefPlRmZpy7viRj77mY9wLO3Lx3kMA/vn3ASayTJ7sifcBL17FAaCSZWRZ4v19cZdaFdh06lKKM3xoZ+A+bKyt8XRz1e3HnJ3ZtGW7QZn2rVuRLVtWAGpUqUx0dDQAN27doUSxoliYmWGXPRs5HBxYs3FTmmX7lLDdfrx+9uiLre99tcsWZ/9VXc/Hzgs3UMkmFM1lb/TrFcDGwhwAOxtrXr9JeeP2rYAdO7GxsaGcpydWVlZ4uLuz4YPt0bFjh/e+k6rrv5MqV65EpYq6A/BSpUphampK0IMHqc4Emeu78kMVihXi9J37ABy5cReVLJPfPluicraWFtRyKs7qI4a9VVGxcfrfLVQqMVRFEP4fMLYREixJUhVAkSTJVJKkIcCNtAoRFBRE1qxZ9Y/z5s3Ls4+cBVy+bBlOTk5ptXoDocHBZHlvJ50zd24iw8MNysS9ekXhosUBMDMzQ5ZlwkJCKFy0GOdOn0KtVnPt8iVioqMJfnCfx491X+5jRw3n+8YN6Na+DUH37qYq56uYaBxyv+tJMDM350nIh+3Ej3sWFsKUvt2ZO2IAIXf/TVWetx4EPSDbe9syT15Hnj17ZtRrXVxcuXH9OlFRUQQFBREaGkJISOIhNsYKC3louC1z5dYNB3pPXNwrChYtCrzblo8S1ql584bOLRrj1aYFe7Zv1b9m8uhfqduoMdY2xk8Q9ygkBJss77LY58xFVGSEQZnXr+LIX9gwy+OwUKIiI3DInVtfzsYmiz4jwNjB/endriVLZk1LtN6DuwIwNTXFyc3DqJyx0S/J5ZhP/9jMwoLQDxq3ocFBmCUc9AHkypuX2Oh3Bzo3L11k2I/t+WtwX8Kf/B979x1f0/0/cPx1TqYIaktiBLFFhl17VUutojWr9iw1SlujrVGb0toriE1sEsSsUdSm04wsK0ZyRSTn/P64Ea4kXFfW1+/9fDzySM65n3vPO/e+77nnM6+xJ8ulkCuXTv9BTEwMl/+8yOOoKMJv3jQrpqQ42NkS/uD5MWNiY3HOni3JsqM/+4gJHZrwNC6OrX+cB+Ajr1JERT/h3PUQi2N42fWgmyYXeE758nLn3t1kyy9dtZrSJUsA4FG2DJf++pv79x9wPSiIkLAwboakTOt5Rpctkz037jwfdvP46VOK5s2VZNkhTeoQMLwXUz9vlrBvzPoAvF1dCBzVhyFN6jBt2/63jun69WsvfSY5cfsV57ElPkuT/EzasnWrcVhq+fJvHZMxrozzWfkyR3s7QiIeJmw/eRqbZCVk0Me1CbzwD1FPnia6bfgnDVjUuy0lXfIyy9/yRoq0pOt6mv6Id4fkjfmVkF5AX8AFCAE847eTpChKD0VRTiqKctJnyZK3j/IFE8aPJyQkhImTJ6fo46aEvoO+Jut779G+RRMmj/2RrNmyYaVaERvzFE3TcPfwZO02f4oUK864USPSNdYqDRvz1dTZDP11IQWLlWTNr1PTNR6ATp07U7pMWZp/3JieXbuQO08erNT0+U7MgoWLMG3+EpZt3Ebn3n1ZNn8Od+/c5siB/UTcu0e7Lt3SJa6XfTdhKnNW+zFi0nROHT1M4HbTnp79u3ZS0r1cmsXT8ouuTFiygp8WLscxSzbmTTQOVWzdrTeOWbMxokcnlv0yncxZsqJaWaVJTKPW7GTEyu1YKSq1SrnhYGtLjVJFWbT3WJocPykTf55JSGgYE34YBUCndm0oU6okTdt1oHv/geTOlSvdcj+jGrR0Ex+Mm0vbGctwy5eLQR/XBqBzncqcuBxEvdGzmbJ1H0Ob1eOlTtZUNX7CBEJCQpg8cYLJ/r//+Yefxk9g2NdDsLY2dzX8lJMRPysruRUke2aHZHsgx/ntpuucVfwVHE6n2skP5xJCvBvMXR3rDtDe3AfVdX0+MB/gwaNHr62CFSpUiO3bng9NCQkJIVfu3InKLVu6lK1btrDc1xfHN2iFfhPOBQrwaHdAwvatsDCy5zQdGmCfKRNXL/9L8ZIliYmJQdM0nFxcUFWV6XMWJJRr07QRJcuUwcnF2GPRsZtx3kWrtu0ZPvgr3tTGBbP479xpALLmyMmdsOet4TFPnpDHxfwhXjnzPm9Zb9ypG5P7pcw44YKFCrJj+4OE7dCQYHLlSrpVMykzZ81K+PuTpk0oVryExbE4ueTn0cPnky9vhYfx3suvpX0mrl++jFvx569lvvjX0sEhMwA16tbHZ+4sLp49w5mTJ3j44D7tm3yIDuiaRtdPW7Bo7cZXxpLPxYUjLwyhunsrnPey5zApY5fJnqCrlylSrHhCLHmdnHkvew7uhD0fKhMZ+Yh88Tnl6mbskXMpWIjCxUpw8cxp6jU2DumKiYkh7OZNOvcb+MrYls6cysVTJwHInis34cHPeyhioqNxfmk4n3OBQsREP0nYDg8JwcExCwBOL5T9uE0H5o7/ETD27Az+6fnF0LddO+BarPgr43pZx5oVKF3ACYCIKAN5s2VJuM3W2pqQiAfJ3ZXo2Fgu3QzDu2gBbj+MwsbaiuEtPwBAVRSGNq/HtK37CL3/KNnHeJ1CBfKzY9fzfAsNCydXjsTDipavXstW/wCWzZ2NY+bMCftfnI/UvF1Hiru5WRxLRjeqVUOqlSgMQPj9RxTMlT3htkw2NlwOT9zr8E+oscX/XqSB3/66QpkCxnNYJbeC9F9sXHRh+6lLDGxcmwK5sifMGbFEoUKubNu+I2E7JCSU3Emcx5YuW8aWrdvwXb7M5DMpPDycLl278dmnrWnevLnFcSSOK+N8VgL0/qA6XoWN56K7j6JwfmFIpJ2NNUF375uU9y5cgCyZ7FjUuy0KoCgKs7u1ps/CdSblNp44x7fNG6Ra3CkpI7cyi4xNcsfMnhBFUYooirJVUZTbiqLcUhRls6IoRVIqiI8aNSIyMpJTp05hMBg4feoULVuZjmEP8PdnzuzZTJs+nSLxw2dSQ50GDTFERXHx3FkMBgMXz5/joybNTMqU8/Riq59xIu7S+XPJkTMXqqry8P597kcYP/g2rF6JqqhUqmocX58rdx62bTTeZ/eO7SZd6uZq0b1vwkTy0hUq8+fJ39E0jTO/7cfKyuqN5n68OH/k4JYN2NjZvaK0+T78qBFRkZGcjn8tz5w+zSctzZuPEBMTQ1D82Om9gYHcvXuX9h07WhxLjXoNMBii+PP8OaINBv66cJ4GjUxXZCrr6cnOzcYKxMrFC8iRMyeqqhIcdCNh8vfFc2d5bDBQonRp+g/7jpXbAlix1Z9REyZjbWPz2goIQNXa9XhsMPD3xfNEPzbwz6UL1P6wkUmZUu4e7Imfs7J+2WKy5zDGUvvDRvxz6QKG+Ps/NhioVrueMd/ih/s8vH+f61cuU+SFStuuzX7YZ8pEkddc7HfqPzhhIrlXlWqcOXYYTdM4uncPVtbWuLgWNinv4loYK2srju7dY8y/Y4fxqmqcRPri/JH9OzbjGJ/nkQ8f8uiB8YIkcMtGFEWhbPk3m0C8/OBJvl2xlW9XbOXMlZt4FjYOG6vkVpA4TSP0haEgAI72tgnzRKxVlZIuebn14BEXgkL5etlmhi7fwtDlW9B0nUmbAt+qAgLwYYP6REZFcfrseeN57Px5WjY1XYBi1959zF3iw9SxYyji+vz9GhMTQ9BNY6NC4MGD3I2IoEObT98qnoxs9PqAhAnmgRf+oV5ZY4428ipFrKZxOdx0GJuNlUr+nMZcsrW2ppJbIa7GlzE8eUqTCsYhR1WKFUJReKsKCECjjz6M/0w6jcFg4NTp07Rq2dKkjH9AALPnzGX6tKkULfL849BgMNCmXXuqVqnMwK/evLHpVTLSZyXAnF2/JUwm//3f61Qu5gpAzVJFiNW0RJWQubsP02XOKrrOWcX4jXuIjdMSKiCl8z9vGPvIsxSPXmjoEEK8m8ztI14JzAJaxG+3AVYBKdJfam9vT5euXenXpw+6ruNdvjy1a9emR/fueHl60rtvXyZPmoSmaQwePBgAx8yZ8d+1C4A6tWphMBjQdZ0qlSrRo1cvunTpYlEstra2tG7XgVFDhwA6Zct5Urladb4b2J/S7uXo0KUbvQcOYUD3zrT8sD7WNjaMGGtc4SYoKIhRQwehYGxhH/nT8+VgBw8fwZjvvmXFksXY2tkyctyEpAMwU7XGzfnr9Ekm9+uKoqp81OH517dM/rIbX/9iXM3JZ/yPhN0wXhhO6P0F+d2K02Hwd/ivXEp40HUUFKxsbGjRLWWWA7W3t+eLLl0Z0K8vuq7j5V2emrVr07tHdzy9vOjZuw/bt21l/NixaJrGmlUr2bBuLQcOH+FJdDQd2rYBjJP3R/zwA/b29hbHYmtrS4vP2jFu+DB0oLR7OSpWfZ8fhw6iRBl32nTqTNd+XzGsTw86NP0Ia2sbvv7BOHxo3y5/ArZuRlEUFBSaf9qWvE4urz7ga2L5uNVnTPthBDpQoow7XpWrMnH4MIqXLkOL9p/zea9+jPqqLz1aN8Pa2poBw38AwKtyVdxKleGrTm2NS/S2boO1rS2h//zNz2OMw3l0HYqVLsPHrdskHPPwvkDcy1d4ozg/+KQ1504cY2intqiqSutuPRNuG/pFWyb5rAKgZefurFs4lw1LFpDHxYUGzY0XQkt+nszDiAhQIJODAz2GGocd3goJZs5PP4CiYGtnR7evh1v4TBrtOvc35VydmdSxKZqus+7ImYTbxrdvwrcrtpLZzo4vP6qJqiigwO0Hkaw6dOqtjvsq9ra2dG7fji+HGvPN26McNau9T6+Bg/FwL0vvLp2ZPPNXNE3j61HfA8bz2I51q4mOiaFdfE+ptbU1o4YOwT5+eei0UGHWBuxy5gFFodqqg9w66M+/c356/R1TwNIDJ6hVuih7RvZG03SmbN2XcFvA8F40HDcXBztbFvZsY3w/xlcyJmwy9ixO3LyHES0bUt/dWAFPiWF29vb2dO3SmT79+qHrOuW9valduxbde/TE08uTvr17M2nylPjPJOMy4pkdHdnlv5MZM2fy6NEjjh49RrXqNQAY9f0oGjZ4+5b9jPRZ+bJNJ85ToWhBFvVqS5yu47Pv+eswv+dn9Ji35pX3716vKo72dujoPI55yrRt+15ZPqOQb70WlpLcAcWc7iBFUc7pul7upX1ndV33eN19zRmOlR5CIt6u1TO1/H45ZVZRSWlNvEundwjJettWz9QS9STm9YXSwbMVozKivRcvp3cISRpR1zO9Q0jSxcFmj5JNUyNKt03vEJK1dWCH9A4hSZqaNnOk3tSAZVteXyid+PRtn4azf5K28diZNL3GaVHFM93/Z5Ey0jJ3MmremNsTslNRlG+A1RhXRPwM2KEoSg4AXdfvverOQgghhBDvGmnMFpaS3DG/EvJscHLPl/a3wVgpSbH5IUIIIYQQQoh3m7mrYxV+fSkhhBBCCCGEeL1XVkIURfnkVbfruu6XsuEIIYQQQvxv0JAxNcIykjuv7wl5tp5pHuB9YG/8dh3gCCCVECGEEEIIIcQbeWUlRNf1zgCKouwCSuu6Hhq/7QT4pHp0QgghhBAZlHzhnLCU5I6ZX1YIFHhWAYkXDhRMhXiEEEIIIYQQ7zhzV8cKVBQlAOMXFIJxid49qROSEEIIIUTGJ63ZwlKSO+avjtUvfpJ6jfhd83Vd35h6YQkhhBBCCCHeVeb2hDxbCUsmogshhBBCAJo0ZgsLSe68foneRxi/jFCJ/51wE6Drup41FWMTQgghhBBCvINetzpWlmd/K4riyfPhWAd1XT+bmoEJIYQQQmRkMq5fWEpyx8zVsRRF6Q8sB3IBuYHliqJ8mZqBCSGEEEIIId5N5s4J6QZU0XU9CkBRlInAUeCX1ApMCCGEECIjk9ZsYSnJHfMrIQoQ98J2XPy+11r3+/k3jSlNFMz1XnqHkKQaJQqndwhJ2nXun/QOIVnO2TPm1KTI6CfpHUKSCufOkd4hJGuohyG9Q0jSnBMZM/93lW6b3iEkaeylVa8vlE72/Fk9vUNI0tO4uNcXSgdT6pVL7xCEEO8ocyshS4DfFUV5tixvc2BR6oQkhBBCCJHxadKaLSwkuWP+94RMUxRlP/CsCamzruunUy0qIYQQQgghxDvrTb4n5BRwKhVjEUIIIYT4nyGN2cJSkjtmro4lhBBCCCGEEClFKiFCCCGEEEKINGX2cCwhhBBCCPGcTC4WlpLckZ4QIYQQQgghRBqTnhAhhBBCCAvoSGu2sIzkjvSECCGEEEIIIdKYWT0hiqIUB+YAeXVdL6soSjmgqa7rY1M1OiGEEEKIDEqXcf3CQpI75veELAC+BZ4C6Lp+DmiTWkEJIYQQQggh3l3mzglx0HX9uKIoL+6LTYV4hBBCCCH+J2jSmC0sJLljfk/IHUVRioJxFo2iKK2A0FSLSgghhBBCCPHOMrcnpC8wHyipKEowcBVon2pRCSGEEEJkcDKuX1hKcsfMSoiu61eA+oqiZAZUXdcfpW5YQgghhBBCiHeVuatj5QS+B6oDuqIovwGjdV2/m1KBaJrGsgk/cDc0BEVV+bB9Z0pXqpqo3Iqp4wi9ehld1/l61pKE/UvHf8/dcOMIMV3T0OLiTG5/01gmDRtMaHAQqqrSrmdfKtaolajc8UMHWDVvFpqm4eRSgKETp6KqKtNHfceNK/+hADZ2dvQb/gMFihTlwqmT+MyYypPoaMp4l6fXsBEWxQewavlSVi1biq7reHiXZ+ykKSa3b/Zbz5L584h58oQWrT+je5++ABzYG8iMKZOIi40FReGjj5vQ68sBFseRFE3TmDd6OLdDglFUlWZfdKdclWqJyi0a/wM3r1xG1zV+WLgiYf/KX6Zy+eI5QMHG1pZ2/QdT0K2ExbGMHTKAkJvG1/LzPl9SpWadROWOHdjHsjm/oGkazvkLMGLKDFRV5VZoKOO/GUT048fYZ8rEd5OmkztvvoT7Hdm3B59fZ9CgSXNaf9HV4hinDv+a8OCbqKrKZ917U75azUTlTv52gLUL5qLpGnld8jN43GRU1Tii0ufnKVw8dRIUcC7oysAxEyyKZe2K5axdsRx0HXdPb74fP9HkdkNUJP17dOX+vXtY29gwatxESru789hgYFCfHty9fRsUhY5dutHkk1YAfN6qOdHR0ei6Tj4nZ6bOnoetra1F8T2zdMNmlm7YhA6UL1uaKd99bXL76JmzOXD8JAoK1tZWjOzXi2oVvDFER9N16Ehu3buLgkKPtq35tPGHbxXLy7rWrUKurI7ous62Py5y6WaYye32ttb0rF8NexsbdHTC7j9i2YHjCbfXdy+Od5GCgE5kdAyzAw6lSFwLe32Ga+4cxGk6k7bsJfD8P4nKbPumO3bW1gnf5Ntj/hqu346gVP68TGrfBBtrKxQUVvz2B8sOnEiRuF6l/IxV2OfNjx4by5EOid+3qUnTNGaOGsatkGBUVaVll554vV8jUblThw/ht3gemq6Rx9mF/qMnoqoqZ48dYcPiuWiahqIoNOvYhQpJnHveNsY5P3zHrVBjjM07d8ejSvVE5eaP+z7hXDtm8coUjeEZn7XrWbJ6HTpQoZw7034w/Xz7fsp0Dhw7jqKAtZU13w/sT/XKFTl78U/6fDcSW1sbAJzz5GHFrBmpEmNqkNZsYSnJHfPnhKwGbgMtgVbxf69JyUCO7txC5P0IBs6YT/1P27Nr1dIky7lXqU7HYd8n2t/p2x8Z9PN8Bv08Hzd3L97LncfiWPz91nE/4i7TfdfSqnN3Vi+Yk2S5NQvm0Kpzd6b7ruV+xF0C/NYB8MWAQUz3Xcs037UUK12Wpb/+DEDO3Hlo1bk7hYtbdkH9TExMDCuX+jB28lTWbNnOhbNnOHb4sEkZt2LFGPLNcPI5OZvsd3TMwojRY9m8K5Cpv8xm60Y/wsNSdnrPgW2beHQ/ghFzfWjU7nO2Ll+UZDnPajXpMXJMov2uJUoyaPIvjJzrg1uZcqyf96vFsWxft4b79+4xe7Ufbbv1xHfu7CTL+c6bRdtuPZm92o/79+6xfb0xvRf+PJlCbsWYs3YThdyKsWD65IT7xD6NYe2ShThmzWpxfAC7N63nYcQ9JvmsosXnXVm3aF6S5dYvnk+LTl2Z5LOKhxH32LNpAwD7t2/l30vnGTN3MZOXrqZNz74WxRETE8Na32V8P34Syzds5uL5sxw/appXs3+eRqZMDqzfuZt6DT9i2gTjKt2/TjM+L2u3BzDl17n4LllEbKxx7Yppcxawdps/a7buxBAVydIFSf9/ZscZG4vPho1MHT6U7YvncObSXxw+ecqkTK/2bQj0Xcwe30W0/LABE+YuBGDiHOPvQN/FLBg/mgWr1yfEmRKqlyxClkz2TNy0h4Azf9HIu3SS5Y7+fZWJm/cwbes+cmfNTLUSRQBwzZ0Dr8IFmLf7NyZtDmTNkVNJ3v9NfV6rIrmyOFJ/zBxm7DjAkCa1ky07ecteGo6bS8Nxc7l+OwKAb5rV4/f/bvDhuHn8sG4nnWpVTJG4Xidk53r+/mV0mhzrZXs3+/EwIoKxC31p2qEzG30WJFluo88CmnbszNiFvjyMiGDfFj8ANi9bRK1GTRm70JdajZqxbeWyFI/xwNaNPLwfwffzltK4fSc2L036XOtdoxa9v0+9FfVjYp6yePU6pv84Cn9fH05fuMhvv5tWUvt+8Tn7169i37pVtGr8ET/98vxcbGNjzb51xtv+lyogQoi3Y24lxEnX9TG6rl+N/xkL5E3JQP764zglK1RGVVXKVatFXFws4UHXE5UrV60WeQsUeuVjXf3zPOWqJm5JNtepw7/h/X4NVFWlWr0GxMXGcvPaFZMyN69dIS4ujmr1GqCqKt7v1+CPw78BkD1nroRyT6KjebaqmFOBglSpXRcrq7f7ovrAAH8cMmemnKcXDg4OlC3nwbZNfiZlyrh7UL12bUwXNIPylSrhXcF4AeFWvDg2NjYE37z5VvG87OLxo5StWAVVVSlfsy5xsbGE3riWqFz5mnVxKuiaaP/7HzQmcxbjhX0JT2+iHxssjuXE4YNUrGZ8LWvUb0hcbCw3rpq+ljeuGl/LGvUboqoqFavV4MRvBwEIunqVTzp8AcAnHb4g6Mrz+86fNplSHl5kyuRgcXwAp48exrNKNVRVpWrd+sTFxhJ87apJmeBrV4mLjaNq3fqoqopnlWqcOmrMtwP+26jXpAX2DsY4nPIXsCiOfbt34ZA5M+4enmRycKCMezl2btlsUubc6VN83KIlAJ269+TenTtomsbNG9cp5+UNQEFXV2xsbDgQuBuAXLlzA8ZKTlxcHMrLSfmG/PcfInMmB7zKlMLB3h6PUiXwC9hjUiZPzhwJf0cZHgPGY14LDqa8u7FiULiAC7Y21gQcOvJW8byodP58XAwy9nycvR6MlaqSO5ujSZnomFiOX74BQKymcT/qMTkcja9drTJu/BkcxgNDNAB3H0WlSFx1yxYj8IKx52PH6T+xVq0omjen2ffXAUd7OwByOGbmydO0WRwx1H8DT+6Evb5gKjj7+2E8Kr+PqqpUql2PuNhYQq5fMykTcv0aWlwclWrXQ1VVPCq/z5lj8RV3BaIiIwGIevQw4f2Zks4dP4p7paqoqkqFV5xrKyRzrk0pO/ftJ7NDJrzdy+DgkAnPMqXZsMPfpEyeXM/zLcpgePaW/J+n6Xqa/oh3h+SN+ZWQXYqitFEURY3/+RQISMlAog2R5MzrlLBtY2vHneA3vzi+eflfYmNiKF+vocWxREU+Ip+LS8K2rb09IddNK0Qh169jZ2efsJ3X2YWoyOdTZaaN/Ib+bVvy36ULdBlkOlTkbd0MCiJr1mzPj53Pibt333xk3K6d29E0jXKeXikZHoaoSHI5v/D82dkTfjPIosc6tGMLLoWLWhxLVOQj8r1wUW5nb0/wSxcSwdevmbyW+VzyJ7yWcXGxFCxsbKXOX8iVuDjjxde1//7j7wvn6DpgsMWxPWOIfERel/wJ27b29oS8VAEPCbqObfxFIEBeZ2cM8TFGPXrIpTOn+KZLe77r9jnHD+6zKI6Qm0FkeaFXJ0++fNx7Ka8eP35M4aJuxjhtbVFVldDgYAoXcePk78eIiYnh4rmzREVGEvTCe+bzVs1p27QRtrZ2fN6th0XxPRMUEkq2LM8v7J3y5OZuxP1E5b6f/it12n3Bpt17GdW/FwBuhQpx9NQZnsTEcObSXzyKMnDtZvBbxfOiTLY23H0UmbAdExtHnqxZki2fNZM9ubI6cvZacPx2JnJmyczgJnUZ0rQu75conCJxZctkz407EQnbj58+pWjeXEmWHdKkDgHDezH182YJ+8asD8Db1YXAUX0Y0qQO07btT5G4MjJDZCR5XEzPY6EvvS9DX3pf5nZyxhBf8WjdvQ9HAwP4tnNbju3dRZte/VM8xseRkeR+obfb1s6esCDLzrVv40ZwCNmyPD93OOXNw52IiETlRk6aSs1PPmOj/y5+GPxVwv6nT2Op27odH7T9nPXbdqRJzEKI9GduJaQ7sBJBGyDaAAAgAElEQVSIif9ZDfRUFOWRoigPXy6sKEoPRVFOKopy8uD2zS/fnKqO+W8hp5ML1tZv19vwtgaNmcDMVRtwK12WNQvmpmssSbn83z/8Om0qfb4amO7PVXK2Ll9MxJ1bfNb7q9cXTgPP5l8AzJ44lladumSM507XeRwVxU8Ll9Os4xesXTAHTdPSNIQ+g4aQLdt7dPikKVPGjSZrtmxYWVkl3L5s/SaW+20hLi6WrX7r0ySmHwf2Y99KH5rWr8PUBT4ADO3ZhfeyZqVxl978MGMW2bJkwfqFONOSqqp0qVuF/0Jvc+Ou8YJNVYwVkxnb97P68ClqlnIjayb71zxSyhm0dBMfjJtL2xnLcMuXi0Ef1wagc53KnLgcRL3Rs5mydR9Dm9VDfUdaslNLwPrVVP+gEeOXrOL9Bh+x9OeJr7/TO27M0MEc9FtD84YNmDxnPgBFCxdi9exf2LtuJYN6dGXGIh9u3Umx6aapTnpChKUkb8xfHSv5pryky8/HuKQvC/ccSfa/37xwNpcvnAEgW/acCRPLAZ7GPCHXC63D5gr692/qtGz7xvdbPH0yF/4wjmHNnis3YcHPW0djoqNxLmQ6BMy5UCGePIlO2A4PCSazY+Kn6aPWn/HLjyPfOJ5XyV+gAHsCHjw/dlgoOXOaP7Tizu1bDO7XlyYtWvJh4yYpEtPauTP556xx/Hq2nLm4E/LC8/ckmrxvOETot51bOfPbAXqMGvfGwxjmTZ3IuRPGib45cucm7IVemCfR0bgUcjUp71LI1eS1DAu+mfBaWllZc+PqFQoWLsKNq1cShtI9vB/BinmzWTFvNpqmsWfbZqysrRKGbr3O0plTjRPJMeZb+Au9fjHR0Ti/NOTQuUAhYqKfJGyHh4TgEB+jrX0mKtaojaqqVK5Vl3UL53E7NMSkd8UczvkL8Gj38w7OW2Fh5HgprzJlysTVy/9RvGRJYmJi4hdlcEFVVabFX1QAtG3WmBKlTedDODo6Ur5SFQ7uDaRlm3ZvFNuLCjg78eDAbwnbobdukzP7e8mW79+pPXV3BQJgZ2vLoonP5yE17NSDssXdLI4FoHmlchRzMg45e2B4TM4Xemlsra249TDpxQR71KvKo8fRbPj9bMI+Q8xTgu/dJ1bTuHn3Pk9iYymUOzvnb7z5vK1RrRpSLb4nJfz+Iwrmyp5wWyYbGy6H30l0n39CbwNwL9LAb39doUwB4yIMldwK0n+xccjn9lOXGNi4NgVyZU+YM/KuWDFrOn+e/gOA93Lm4law6XnM6aX3pdNL78vboSE4OBpf/7CgG/Qfbax4NG7bkcO7UqaFf83sGfwVf659L2cuboeGmMSYr4BlwzHfRkEXZ3bsfd4DGxp+i1zZsydbfkC3zvi1bAOAo4MDjvHn+A/r1GL6/EX8ce48H9WtnZohCyEyAHN7QlAUpamiKFPifz5OiYM369YnYTJ5iQqV+evk72iaxrnDB7Cysnrt3I+XXb5wlri4OMpVS7yS1et0Gfg10+Ink3tXq86pI4fQNI3DgbuxsrYmv2sRk/L5XYtgZWXF4cDdaJrGqSOH8K5mXJXkz3NnEsrt27YlYX5DSqnXsCGGqCjOnz2DwWDgwrmzNG7W3Kz7GgwG+nTpTPmKFRNWzEoJn/bqz4g5PoyY40PZilW4cOIYmqbxx8G9WFlZv9F45PO/H2HvxrW06z/kjS+kAXoOHsas1RuYtXoDFavX4MRh42t5aE8AVtZWCcOrnilY2PhaHtoTgKZpnDh8iIrxq1Pld3XFz9cHAD9fHwoUNl7UzV23OeEnd9581P+4mdkVEIBO/QczyWcVk3xW4VWlGmeOHUbTNI7u3YOVtTUurqbDcFxcC2NlbcXRvXvQNI0zxw7jVdW44lgJ93Kc/8NY6frr3Bl0dJMhGuaq0+ADDFFRXDx3lscGAxfPn+PDJk1Nyrh7erFto3FC/NIF88iRMxeqqvLwwX3uxw+/2LB6JaqiUKlqNSLu3ePKf/8Bxjkhp04eJ/9bXiQ1rFmNKIOBM5f+whAdzdk//6b5B/VMypw4dz7hb58Nm7CLX43r/sOHRDwwdt76btqGqihUq+D9VvFsOn6OyZsDmbw5kEs3wxIu3D0KuRCnadx+EJnoPh1rVsTG2opFe4+Z7L8YFErBXMb5LNkzO2Bnbc3Nu4mHmplj9PqAhAnmgRf+oV7Z4gA08ipFrKZxOdy0tdnGSiV/TuMwT1trayq5FeJqfBnDk6c0qVAGgCrFCqEovHMVEID2fQcydqEvYxf64lG5Gmd/P4KmaRzfH4hqZY3zSw0YzoVcUa2sOL4/EE3TOPv7ETwqG9+XVlbWHN61E4BD/tuwecsV4Z75rM8Avp+3lO/nLaVspaqcP34UTdM4acG5NqU0rFOLKIOB0xcvYjA85szFS7RoZDok+viZ55XtxavXYWdnfD6uBd0kJuYpAKfOX8Tw+DHlSr3d4i1CiP8NijlLhCmKMgGoCDxbR7UtcFLX9W9fd99X9YS8SNM0lv40invhoSiqSsO2X1AmflnXaV/1YNDPxlbW5ZNGE37jGrquoygKLkWL03bgNwCsmj6BuNindPj69T0PBXMl33KqaRoThg4kPH5pxrbde1OplnFpxUEdPmWa71oAjh/Yx6r5s9F0nbzOLnwzaTqqqjKiV1eiHj0ERSFTJgd6fTuCgkXcCL5+jYnDBqPrxqEyiqLy46x5JhPZi+Yxr0djhc8SVicsperJT1Om83X/fpQt50Gnbt3Z47+TnydPNA7LURRsrK3ZvCuQX6dPZceWzSZLpA4c9i216tZ7xdHg+GXzxxlrmsbcH7/lTvxyy00+74Zn/NKWY3t/wYg5PgDMHzuS0OtXE17LgsVK0HnoSCb070H0Y0PCUCe7TA58PS3pVa0AnLMnX8nTNI3Rg78kLNj4Wnbs1Y+qtesC0LdNS2atNl5QH92/l+VzfkXTNfK55GfU1Jmoqkp4aDDjhw3hSfRj7Owz8d3EaeRxcjI5xvA+3fGsVCXREr2RL7SQvu75mvLtYG6FhKCqKq279aRijdoADP2iLZN8VgFw4tB+1i2ci6bp5HFxYchPU1BVlejox0z+ZhCPIiKMy1u3akOdxk2TPV7h3DmSvW3N8qWsW7kC0ClTzoMfJ07hu0EDKOPuTvvO3YiMjGRAjy48iIjA2saG4WN+wt3Dk0vnzzNq2GAUwN4+E9+NGUupMu5cv3qFYf37oWkaOjou+fMz6Zc5yS7RmzPCvHlgS9ZvZLnfFnR0PEuXYvqIYfT7fiwepUrQvU1rOg8dwY3gEBRFwdbGhm/7dKdGxfKc/fNv4/LFCmSys2fCsIG4lyj+2uMtuvLgtWWe6VavKjmzZEbXdbafusTFIGMvxtfN6jF5cyD5smehS52qxMYZnxOAP2+Gse2Pi4Bx6FPurFkAndNXb7L73N/JHmvXucTL7CZnce82FMyVHU3TmbJ1H7viHzdgeC8ajptLNgd71nzVCUVREioZvResI1bTqFq8ECNaNsQ6fkji0gPHWflb8it3jb20yuy4XqXCrA3Y5cwDigKaxq2D/vw756e3eszbg2aZVU7TNGaMGMrtUOP7skXn7pSvbmzgGtGtA2MX+gLwx28H8FsyH13Tye3szIAxk1BVlaOBAexY7Yuu68blczt1x7ta4iV+n3kaF/fG/4umacz6/pv4c60VzTp1wyv+GD/27MT384yrTM4dM4KQa8/PtYWKlaDrN6PMOkbdnOZVnhatWsuydRvQAa+yZZgxehR9vh2JR+lS9OzYjk4DhnD95k0U1fieHD6gHzUrV+LXJctYv20HiqqgoNCmWRN6dDBvNEOuku7pPihwtv/BNB3r0ufDmhb/z4qi5MC4sqkrcA34VNf1iJfKeAJzgKxAHDBO1/UUXQ1VGKVl7mTUvDG3EnIO8NTjr54VRbECTuu6Xu519zW3EpLWXlUJSU/mVkLS2ptUQtLaqyoh6cncSkhae1UlJL2ZWwlJa29SCUlLb1IJSUspVQlJDeZWQtKaJZWQtGBuJSQ9SCXkzSiKMgm4p+v6BEVRvgGy67o+7KUyxQFd1/V/FUVxBv4ASum6blmXrEjW/1AlJNXy5k1m1b4H3Iv/O9urCgohhBBCvOu0DNnMmqxmQO34v5cC+wGTi0ld1/954e8QRVFuAbkBqYSksP+h3Em1vDG3EjIeOK0oyj6Mq3vXBL4x875CCCGEEOItKYrSA3hxnfP58YsBmSOvruvPVrkI4zXf96YoSiXAFrj8xoGKDCWj5o25q2OtUhRlP8Z5IQDDdF1Pn2+QEkIIIYTIAMwZ0p7Cx0tYfTQpiqLsAfIlcdPwlx5HVxQl2eAVRXEClgOdng3FFykrLXMno+bNKyshiqK8vGzMswHbzoqiOOu6nvzMRCGEEEIIkWZ0Xa+f3G2KooQriuKk63po/MXirWTKZQW2A8N1XT+WVBnxbkmvvHldT8jUpGJ94e+65hxECCGEEOJdk9Y9IW9pC9AJmBD/O9G3SSuKYgtsBJbpup423yz7/9T/UO6kWt688ntCdF2vo+t6HYzLbjWL/3sf8AAYYnb4QgghhBAiPU0AGiiK8i9QP34bRVEqKIqyML7Mpxjn/X6hKMqZ+B/P9AlXZBCpljfmTkwfoev6WkVRqmPs/ZiCsWJS+Q3/ESGEEEKId4L2v9Oaja7rd4FEXwqm6/pJoFv8376AbxqH9v/S/0rupGbemPuN6c8WMG8MLNB1fTvGme9CCCGEEEII8UbM7QkJVhRlHtAAmKgoih3mV2CEEEIIId45/yON2SIDktwxvyLxKRAANIz/9sMcwNepFpUQQgghhBDinWXu94QYAL8XtkOB0OTvIYQQQgjxbvtfGdcvMh7JHRlSJYQQQgghhEhj5s4JEUIIIYQQL9CR1mxhGckd6QkRQgghhBBCpLFU7wlpVbpAah/CIrd1m/QOIUl7Lvyb3iEkqXapoukdQrKexMamdwhJcs2dPb1DSNLZ6xl3Otee24/TO4Qkta5cLr1DSNKX9SqldwhJ2vNn9fQOIVm5p/VN7xCS5PrrlvQOIUkjN+9N7xCSNaeke3qHIIR4CzIcSwghhBDCArpMLhYWktyR4VhCCCGEEEKINCY9IUIIIYQQFtCkMVtYSHJHekKEEEIIIYQQaUx6QoQQQgghLCDj+oWlJHekJ0QIIYQQQgiRxqQnRAghhBDCApq0ZgsLSe5IT4gQQgghhBAijUlPiBBCCCGEBWRcv7CU5I70hAghhBBCCCHSmPSECCGEEEJYQBqzhaUkd6QnRAghhBBCCJHGpCdECCGEEMICssKRsJTkjvSECCGEEEIIIdKY9IQIIYQQQlhAVjgSlpLcyUCVkMXLfVm0zBdd16no7cWMSRNMbh8yfCTHTpxAURTsbO2Y+tNYPNzLAtC5d1/+vXwFdJ1CBQuyfMFcVDVlOnlWL1/G6uVL0XUdD+/yjJ442eT2LX4b8Fkwj5gnT2je+lO69e4LwMF9gcycMpm42FhQFD78uAk9+/VPkZgANE3Dd9KP3AsNRVFVPmj3BaUqVklUbtW0nwi7dgVd1xn0y6KE/SFX/mPj3J+Ji41F16Fig494v1GzFIvvmTW+y1jjuwxd1ynn5c2PE0yfv60bN7B04XxinjyhWavWdO3VN0WPv36lL+tX+oKuU9bTixHjTPPKEBXFoF7duH/vHtY2NgwfM55S7u4s+GUG+3YHJJR7GhPDV98Mp1rtOgwfNID//voTTdNY57/nrWNcsdSHFUt90HUdz/LlGT9lmsntG9evZ/G8OTx58oSWn31Gz75fmtx++9YtOn7aioKursz3WfZWsWiaxs8jhhIechNVVWndrTfe79dIVO6PwwdYv3Aemq6R1zk/X42dhKqqjB3Qi6hHD42PFReHamXF+MUr2bt1I3s2rUfXdBRVoeEnn1GrcdO3inPt1LHcCw9FVVXqfvY5xctXNinzODKSVRO/50n0Y0Aht0sBWn31DQDnDu3lyDY/4p4+xaNWfao3a21xLC/KqOeLhYsXs3DhInRdp1LFivwyc4bJ7YMGD+HosWPG86udHT9Pm4qHhwcBu3czduw4YmNjURSFT1q0YMjgQSkWFxhfy5mjhnErJBhVVWnZpSdeSeTcqcOH8FtszLk8zi70Hz0RVVU5e+wIGxbPRdM0FEWhWccuVKhZJ0VjfFn5Gauwz5sfPTaWIx1S91gvW750Cb4+S9B1He/yFZgwdbrJ7RvXr2XBXOP5otVnbej9Qh7Vq/E+tra2AGTO7Mj6LdtSNLbhnzQg33tZ0XSd5QdPcPJyUKIykzo0xc7GGkWB2w8jGee3C00Dr8IufF6zIlaqyuOYp/y0cTcPDNEpGp8QImPJEMOxYmJiWLh0OTMnT2DPlo2cOnuOg4ePmpTx9vBg29rVHArYSZWKFRg5ZhwAflu2ce36DfZu28ze7VsIDg1ljZ9fisW1apkPYyZNYdXmbZw/e4bfDx82KVO0mBuDvvmOvE5OJvsdHbPw3Y9j2Riwh8kzZ7Ftox/hYaEpEhfAMf+tRN2/T//pc6nTqh17Vid98VmmcnXaDx2VaH/AyiW4lnKn/7S5fNy5F78HpOyHERifv9XLl/LjhMms2LiVC+fO8vtR0+eviFsxvhr2LXnzOSXzKJZ7GhPD+hXLGTluAkvWbeTS+XOcOGqaV/NmTMPePhOrtwdQ94MPmTHpJwC6fzmAlVt2sHLLDvoP/QYrKyuq1TZebNRp8AETZs5OkRhjYmLw9VnC+KnT2LB9J+fPnOHo4d9MyrgVK8bXw0eQz9k5yccYOWwouXLnTpF49mxaz8P79xi/eCXNP+/ChsXzkiznt2QBzTt1YfzilTy8f4/Azcb33IgZcxm/eCXjF6/EqaArhdyKA5A9Z276jBzD+CUraderP9vX+L5VnCd3byfq4QN6TZpFjRZt2Lcu6cfzqvchvSfPpuuYqdwLD+XELmOe53IpQP12ncmaM9dbxfGijHq+iImJYcGChfz6y0z2Be7hj1OnOHjwoEmZ8t7e7Ny+jSO/HaJqlSp8N2IkAFkdszB50kSOHv6NxQsXsGbtWkJDU+48BrB3sx8PIyIYu9CXph06s9FnQZLlNvosoGnHzoxd6MvDiAj2bTHm3OZli6jVqCljF/pSq1Eztq18u4q4OUJ2rufvX0an+nFeFhMTw/Ili5k47Wc27Qjg7JnTHPntkEkZt2IlGDZ8JE7JnC92Bu5nZ+D+FK+ANPIqRTYHe75cvIE1R07Rvkb5JMuN89vFgCV+9F/sh4OtDa0qewLQqVYltpy8QP8lflwICqVr3cSNahmRrqftj3h3SN6YWQlRFCW3oihTFEXZoSjK3mc/KRXEjoDdOGbOTHlPTxwcHPAq5876TZtMyrT7tBXvvfceADWqvc+jyEjjP6AoxGkaj6OjMRgM6JpGAReXFIkrcJc/Dpkz4+7phYODA2XLebBt80aTMmXcPaheqzaqopjs965YCe8KFQBwK14caxsbgm8Gp0hcAP+cOkEJ70qoqkq5ajWJi4vl1s0bicqVq1aTPPkLJtqvoPDksQGAqEf3sbaxSbHYntm3O8Dk+Svj7sH2l17XMu7lqF6zNoqqJPMoltu/ZzeZHDJTxsOTTA4OlC7rTsBW0+OfO32axi1aAtChWw/u3bmDpmkmZbZuWE/REiUTtut/1JjCbm4pEuNuf38yZ86Mh5c3Dg4OuHt4suWlSrS7hwc1a9dBIfFztGeXP48ePcS7QsUUiefs70fwqFINVVWpXLs+cbGxBF+/alIm+PpV4mLjqFy7Pqqq4lGlGmeOmVacNE0j5MY16jRpAYDX+9XJ71oEgNLlK6LrOtEGg8Vx/nv6JG6eFVBVlTJVa6DFxXE72LTVNZOjI161GwBga29P1py5uH/7FgDORYrh5lEeknhOLZVRzxfbtu/A0dGRCuXL4+DggLeXF2vXrTcp0759u4Tza82aNXj06BEAVatWoUplYw9TyZIlsbGx4fqNxOeZt3H298N4VH4fVVWpVLsecbGxhFy/ZlIm5Po1tLg4KtWuZ8y5yu9z5lh8BU+BqPjPg6hHD7F3cEjR+JIS6r+BJ3fCUv04L9vlv4PMmTPjGX++KOfhyWa/DSZl3D08qFWnbpLni9RUoWgBTl4xvgeP/H0Na9UKlxzZEpV71rthraqoipowJMXW2op9F/8D4NCfl3HNkyONIhdCpBdze0JWAH8ChYEfgWvAiZQK4lpQENmyZk3YdsqXjzt37yVbfumKVZQpZbwobN6kMYULFeKDZp/QsEUriru5Ub1q1RSJKzgoiKxZn59E8+bLx727d9/4cXbv3IGuaZTz9EyRuAAeR0WS44XeAxtbO26H3DT7/o2+6EHQv38xvX839qxeTr1PO6ZYbM/cDLpBlhde17z58hFx706KHyc5ITeDTI6fO28+7t0zzavo6McULloUAFtbW1RVJTTY9OLv8j9/07RlygzXednNoOtkzfY8x/I55ePuXfOeo9jYWGZNn87IMWNTLB5D5CPyOj2vxNva2RP60kVn6I0b2NrbJWzndnLGEPnIpMyRPf5YW1tTwt0j0TG2r15OpsyZ3+pi8Ykhiux5TfP/7ivy/+G9u9wLC6FU5WoWH/N1Mur54vr1a2R7IcecnZ24fSf5HFvis5QyZcok2r9l61Z0XadC+aRbuC1liIwkj8tLORd03aRMaND1JHLOWPFo3b0PRwMD+LZzW47t3UWbXik3jC2jCbpxg6zZ3kvYzufkZPb54plG9evS+IN6LJibMr25z2S2tyMs4mHC9pOnT5OshABM7tiUmV0+4WlcHBuOn40vH0uzCsYh1h96lsI6hYZUCyEyLnPf5Tl1XV8EPNV1/YCu612AuskVVhSlh6IoJxVFOenjuyJFAn1mwvSfCQkNZcKPPwBw/I9ThN0KZ8eGtezYsJZ/r1xh7cZNr36QNHTlv3+ZNX0qvQcMxNo6w0zB4cj2TRQqUYaBMxdSv01Hdq30QYuNTe+wMpy9/juNvQLVqqd3KImMH/0jpcu6U7JU6fQOJZGje3fjVto90f4Lf5zgt4CddPxycJrFEhsTw7rpP+Fa2p38biXS7LiWSO/zxfgJEwgJCWHyRNO5U3//8w8/jZ/AsK+HZKjzGEDA+tVU/6AR45es4v0GH7H054npHVKGNXvBYnbs2cu4iZNZu2olp/84mS5xfL18C4OWbcJKVajvbnxPLgw8RvVSRZjxRQvsbVO+Zz61aOhp+iPeHZI35k9Mfxr/O1RRlMZACJBsX6mu6/OB+QD3Q4Je+9+7FijAjoBdCduhYWHkypn44ZetWs22Hf4smz8XR8fMAKxatx63wkXImcNYvnSJEhw9dpxPWzQ3819LnkuBAgQG+Cdsh4eFkSNnTrPvf+f2bYZ82ZePW3xCw8Yfv3U82xbP4fIFY6tR1uw5uffCmPGnMU/I7Zzf7Me6/tdFPh0wDIBy1WoTuHYFEbfDyemUMkPZAPIXKMjeXc8nd4eHhZE9R8qNwX8d5/wF2L/7eV7dDg8jRw7TvLK3z8TVy5dxK1GSmJgYNE3D6YVWWf+tmynlXi7VYsxfoBC7H+xM2A4LDSOnmfMU/vnrT27fusWHtWui6zq6rtO/Vw9mzp3/RjEs/2Ual04bL0ay58pNeOjznqCYJ9E4FTQdzudUsCAx0U8Stm+HhuDgmOX5fWJiuB0SzGc9TBcZuHHlP5b/MpVmn3emWJnEFZTXCVg6n6sXzwGQJXsOIsJN8z9nMvm/esoYMmfNRqMufd74mG8io50vnilUyJVt23ckbIeEhJI7V+IcW7psGVu2bsN3+TIcHR0T9oeHh9Olazc++7Q1zZu//XkVYMWs6fx5+g8A3suZi1vBL+VcgUIm5Z0KFEoi54wxhgXdoP9oY8WjcduOHN61g3dVgYIF2bXz+f8XFhpq9vkCoERJ4wgCTy9v8uVz4tjRI3iVr2BxPF3rVqZcIeP58l5kFPmyP+95trOxIfjeg2TvGx0Ty/kboVQqWpBdZ//m4s0wvl6+BYBSLnlwzS3DsYR415nbEzJWUZRswGBgCLAQ+CqlgviwYQMio6I4ffYsBoOB0+fO07KZ6co5AYF7mbtoCVPHj6VIYdeE/QVcXPjnv3+JjokhOjqaf/77jxLFi6VIXPU+aIghKorz8XFdOHeWRk3N+xA2GAz069oZ7woVE1bAeVsfd+nNgGlzGTBtLiW8K/L3qeNomsa5wwdRraySnPuRHFs7e84fPgDA5QtnQNdNhrekhDoNPsAQFcWF+Ofv4vmzNG6a8itwJadW/QYYDFFcPH+WxwYDly6cp+HHpnnl7unF9o3GMdW+C+eTI2fOhJXVYmNjuXblMp981jbVYmzQ8AOioqI4d+YMBoOB82fP0MTMC73la9fjv/8g/vsP0rBRY1yLFHnjCghAxy8HJUwm96zyPmePHUbTNH7fvwcra2tcChU2Ke9SqDBW1lb8vn8PmqZx9phxTP8zB3duwc4+EwWLPJ83c+/2LeaMHUWNho15v17DN44RoGGnHvSa9Cu9Jv2Km1dF/jtzEk3TuHj0EKqVFbldCiS6z4aZk3ga84RPB35n0THfREY7XzzT6KMPiYyM5NSp0xgMBk6dPk2rli1NyvgHBDB7zlymT5tK0SJFTOJq0649VatUZuBXKXbKp33fgYxd6MvYhb54VK7G2d+PoGkax/cHolpZ41zI1aS8cyFXVCsrju8PNObc70fwiB9aZ2VlzeFdxor8If9t2MSv/vQu+qDhh0RFRXH2jPG1PHf2DE1bfGLWfUNDgomMH8IWdP064bfC8fD0eqt4Fu39nQFL/BiwxI+Tl29QoYjxPfh+CVfiNC1RJSSLvW3CEC1rVaVMASfC7huHcuZ7z9iQoQJtq5fnjyuJV9bKiJ41AKXVj3h3SN6AYk5wiqIsBQboun4/fjsHMCV+WNYrmdMTArDAZxk+K1ag6+Dt6YFMyZAAACAASURBVMGvUybRs/9APMu507tbFxo0bc6jyChs4idQO2bOzE6/dcTExNCxey+CQ0JAgSKuriybP/e1x7utm9fdu3KpD2tWLAddx93Dk7FTpjFswJeUcffg827d2OO/k5lTJhknMysKNtbWbAzYw6zpU9m5dUvCcogAXw37hpp16r3yeHvjJ+a9jqZpLJ/wAxHhxiV667ftRJlKxgvBGYN6MWCa8TlYMXkst4Kuoes6iqLgXLQYnw0YxuVzZ9ixbAFaXBwoUKVhEyo3bJzs8WqXKmpWXC9btcyHtSt8AZ2yHp6MmTSVbwb2p4x7OTp26UZggD+/TI1//lCwtrHGb+fuNzrGk1cMI1vruwy/VcYhgaXLeTBq/CRGDhlIqbLutPuiC5GRkQzu2Y0H9yOwtrbh29FjKeNhHIu/zW89a5b5sHyT6Soy3/Tvy5X//kXXNBRVpVSZsvw4eVqiY2dzsDcr/uVLFrNy+TLQdcp5ejFx+s8M6tcXdw8POnfvwa6dO5g2cYJJjm0P3GfyGNMmTuCvPy+ZtUTv2evJr26kaRrTvhvC7dCQhOVSK9SoBcC3XdoxfvFKAE4eOsD6xXPRNZ08zs4MHDclofI2YXA/ChRxo33f5xet88aP5r9L500WQPhq9ETy5jetOFy7nfxcsJfjXDNlDBG3wlBVldqtO1CyonEu2Nyh/eg16VfCb1xj/c/jUa2sUBRjbG6e5anfrjN/Hj/CvjXLEk7OqpU1vSfPSvZ4H3mWTPa2F6X1+SKfo3k5Nn/BAhYvMS4DXd7bm9mzfqV7j554ennSt3dv6tZvwKNHj7CNf30yOzqyy38n4ydMYIPfRuxeiGvU96No2KDBK4+3589rZsUFxtdyxoihCTnXonN3ylc35tyIbh0Yu9C48tkfvx3Ab8l8dE0nt7MzA8YYl4U+GhjAjtXG5d1VVaV5p+54V0u8xO8zuae9fSWvwqwN2OXMA4oCmsatg/78O+ent3pM11+3mFVu2eJF+C5fCrqOh5cXk6fP5Ku+vXH38KRrj54E7NzOlAnjTXLMf+8Btm7axKyZ01EUBV3XqVOvAcOGj3jt8cZtNn8NmhEt45fo1XR8D53k+H/G+WQzOn/CgCV+OGXPyrBm9VAU47T58AePmLgpkFhNo0f9qrgXNK7odeNOBJO3vP64c7q3TtvZ90kYuXp7ml7hjWnTON3/Z5Ey0jJ3MmremFsJOa3rutfr9iXF3EpIWjO3EpLWzK2EpDVLKyFp4VWVkPRkbiUkrb2qEpLezK2EpDVzKyFpzdxKSFp7k0pIWkuJSkhqMLcSktbepBKS1jJCJWT4qm1peo0zru3H6f4/i5SRlrmTUfPG3OFYqqIo2Z9txPeEZKzZiUIIIYQQQoj/CeZWJKYCRxVFWRe/3RoYlzohCSGEEEJkfBl4uL3I4CR3zKyE6Lq+TFGUkzxflvcTXdcvpV5YQgghhBBCiHeV2UOq4isdUvEQQgghhIAMvfKQyNgkd8yfEyKEEEIIIYQQKUImlwshhBBCWECT1mxhIckd6QkRQgghhBBCpDHpCRFCCCGEsICM6xeWktyRnhAhhBBCCCFEGpOeECGEEEIIC0hjtrCU5I70hAghhBBCCCHSmFRChBBCCCGEEGlKhmMJIYQQQlhAllkVlpLckZ4QIYQQQgghRBpL9Z6Qa9EZs6ZXOHfm9A4hSdZWVukdQpIMMU/TO4Rk2dtkzA69v0Nvp3cISXK0t0vvEJLlnCNbeoeQpDxZM+b5QkvvAJLxNC4uvUNIluuvW9I7hCRd69c0vUNIkkPjr9M7hAxNJ2Ne44iMT3JHekKEEEIIIYQQaSxjNiELIYQQQmRwMq5fWEpyR3pChBBCCCGEEGlMekKEEEIIISwgjdnCUpI70hMihBBCCCGESGPSEyKEEEIIYQFdmrOFhSR3pCdECCGEEEIIkcakJ0QIIYQQwgKywpGwlOSO9IQIIYQQQggh0pj0hAghhBBCWEDG9QtLSe5IT4gQQgghxP+1d9fRUVxtAId/78QFd4K7u0MpTqEflAItbaGlONRLKS01SgUoTrFCKBqgWHAv7u5SwyF4gAghJHu/P2ZiZBOSEKO9zzkcZmfuzrw79+7sXJtompbKdE+IpmmapmlaEth0Y7aWRLrsxFMJEZG28b1RKeWb/OFomqZpmqZpmvZvF19PSKt4tilAV0I0TdM0TdOeASKSFZgPFALOA68qpfzjSJsROAUsVUq9l1oxaulPSpabOCshSqkuSQlW0zRN0zTtv+AZm1z8ObBRKTVURD63Xn8WR9rvgW2pFtl/0DNUdlKs3CRoToiIvAiUBVwj1imlvkvoQeKyeN4cFs/1AaUoV6kyX/wwJMb24KAg+vXpwd07d3B0cmLA94MpXa48AHu2b2PSqBGEhYchwC9zF+Dp6cm0iePYtHYNAK5ubgwaMQav/PmTHOO0qVOZOnUqSimq16jBz+PGxdj+Sd++7Nm9GxHBxcWFUWPGULFiRQCaNm7MvXv3yJIlC+s2bEhyDPbYbDZmDhnIbb+riGHwQqculK1RJ1Y6nxE/4HfuLErZ6D9xRoxtGxfO5ci2TSDgkTETvX8YmaRYfOfNYfE8Kx8rVmbA4/kYHES/3j2452/m4+ffD6Z0WSsfd2zjl2j5OGnOAmzhYfTr3Z3goCAQoVCRovwwepydIz/Zgjmzme8zC5SiQuUqDBwyLGZsQYG836NrZBn7ZvAwypYvT3BwMH379OT2zRsgwptde9C6XXsApk4cx7qVK1EoChcpyvDxkxIdl81mY9hnn+B35RKGYfBGr3ep/tzzsdLt276VeZMnYLPZyOOVn/4/jcQwDEZ/8wUXz/6NAE4uLrz35bfkL1KU+VMns2fLRgAcHBx4o9e7VKlTL1FxDe7/EX6Xzbje7PM+NZ5rECvd3q2b8Zk83owrX36+GDYGwzBYOHMq29auJiwsjM7vfUSt5xsBsG7JIlYt+g2lFCJCqw4dadr65USfswkDP+fG1SsYhsHLXXpRyc5nO7xrO0unTcGmbOTM68W7g4ZiGAbH9+3G99fJ2MLDcXF3491vh5ApazYATuzfw+KpvxAeHoYgfDZ2Eu4enomKD9Lv9SK9xvU4m83GpG+/4IafmcdtuvSgYq3YeTzlx4FcPvsPStn4ftrcFIll9szp+MyYjlKKKlWrMXTk6BjblyxagPcvk3j48CHtO7xGn/c+iNzW+Lk6ODs7A+Dh4cmi5StTJMbHVR07D9dc+VBhYezq1DBVjhld31YNyJ05IzabYv6uQxw+dyVWmkEdWuDi6AgCtwOCGLliEzZb1PauDWtStkAehvpu4GZAUCpG/5/wEtDAWp4JbMHOzaSIVAVyAWuBaqkUm5Z+pVi5eeLTsUTkF6AD8D4gwCtAwYTsPD5hoaEsnjObL38YyrQFvpw6fowDu3fHSDPl59G4uroxd+VaGjZtzrhh5s1taGgo44cPpdfHnzBn+WqGT/LG1dmZ0NBQ1q9cwU8TJuOzfDU5c+fBe9yYJMcYGhqKt7c348aPZ+PmzRw6eJBt22JW8KpUrcqqNWvYsWsXtWrX5qsvvojc9lbnznTt1i3Jx4/PrjXLCbzrT9+fvWnSoSPr5860m6587Xq89fnAWOvPnT7B0R2b6TZwCJ/8PJV27/ZNUhxhoaEsmjubL34Yyq/zfTl14hgH9sTMR++fR+Pm5sacFVY+/hSVjxOGD6XXR5/gs2w1wyaa+Qjw0iuv4bN8DVPnLeLKpYssmjs70bGFhoYyf/ZMvh06nNm+yzlx7Cj7du+MkWbC6JG4ubmzeO3vNGneglFDvjfXjzQrKwtXr2fkhF/wmT6VsLAwrly5xOplSxk1aQqLVq8n4P49liz4LdGxrfVdyF3/24z2WUD7Lj34zdt+RWa+9yTad+nBaJ8F3PW/zTrfhQC8/WFfRvssYJTPAoqXKcfM8WY59ypYiC9HjmO0zwIat2rDnF/GJyqu1Yvmc/fOHcbNXUyHrj2ZM3mi3XRzvSfSoWtPxs1dzN07d1jjuwCAkuUq0uvTL3Fzd4+RPmuOHPT7fijj5i6mywefsMRnRqLiAti83Jf7/v4M8p7N/zp2YelMb7vpls2Yyv86dWGQ92zu+/uzZYU5cnTx1F9o2u5VBk2dTYkKlZk/6WfALCcLp0ygbbdefDfVh/d/GIazi6vdfccnvV4v0mtc9mxdsYT7d/0ZOHkmL3bszLKZv9pNV+W55+kz8IcUiyM0NJTZ06fx06gxLF29jqNHDrNrx/YYaYoVL8lnX35Nnrx57e5jzcYtrNm4JdUqIABX1yzij3FP3T6YJE0rlCSTuxv9Zy/Hd+9RXqld2W66kcs38/mcFXzuswI3JydaVy0fua1AtiwUypmV8Oi1knROKZWq/0Skp4gciPavZyLCzaWU8rOWr2HeMMYgIgYwEuiXDKdHi4cuNwl7RG8dpdRbgL9SahBQGyiRmIPYs2XjBtzcPShbsSKu7u6ULleedSuXxUhz/PBhWr5szo/v2L0nd27dwmazsXzBb2TOmo069c2W4zxeXjg6O2OzLlyB9+9js9kIefCAbNlzJDnGVStX4unpSdVq1XB3d6dylSosXLAgRpqOHTuSOXNmAOrXr09AQEDktjffeotMGTMm+fjxOXNwL6Wq1cQwDCrWbUB4eBjXL12Ila5i3Qbkyh+7zrh9+WJKVqlBZuv85MjjlaQ4tmzcgLu7B2UrROXjejv52KKNmY9vdOuJ/20rHxea+Vj7sXzMmCkzL7Y1ex1c3d3JmSs3169eTXRsmzesw93Dg/IVK+Hu7k7Z8hVYvWxpjDTHDh+iVdt2AHTu2TuyjF26eIEKlc0f0QKFCuPk5MSW3zfwx8mTuLm7k7+geU4rVKnKpvXrEh3boZ07qFLnOQzDoG7jpoSHhXH5/NkYaS6fP0t4eDh1GzfFMAyq1HmOgzt3AJAlW/bIdA9DQhARAOo1bU72XOb1ofpzDXgUGpqouA7u2k61uvUwDIN6TZoTHhbGpXMx47p0zoyrXpPmGIZBtbr1OLDDvKmtULU65apUjbXf6vWep0CRYgBUrF4TpRTBwcGJiu343l1UqFkHwzCo3qARtrAwrl44HyPN1QvnsYWHU71BIwzDoELNOhzbswuAR6EPqdXkBQBqNGjC5XP/ALB99XI8M2WmfI3aAGTPnQdHx8Q/ODC9Xi/Sa1z2HNu3m/I1apvlqn4jwsPC8Lt4Pla6avUbkadAoRSLY/3a1Xh4eFCpchXc3d2pULESy3wXx0hTvmJFnm/YCEFSLI7E8lu7mIe3rqXJsSsX9uLIucsA7Pv7Ig6GQZ4sscvN/QchADgaBoYhRB+Q0rlhDRbtOZoa4T6zlFJTlFLVov2bEn27iPwuIifs/Hvpsf0owN54oHeA1Uqpyyn4MbRUll7LTUJ+aR9Y/weLSF7gNpAnMQex5+qlS2SI9sOWM1du/jh9MkaakJAHFCpSFABnZ2cMw8DvyhXOnf0HAbq92o7Qhw8pU6ECA74fjKurKy3btOWbfh8hIri6uTEsCUNlIly4cIFMmTJFvs6bNy/HjsZ9gZwxfTply5ZN8vESIyQokGy5o1rgnFxcuHnlst0Khz0B/ncAGPNxb5RS1GzWkjotX3rCu2LzuxwzH3Pkys2fp+zkY9GofBQrH8+fNW8Cu3eIysfPvxsc4703r1/n0sULvNXrnUTHFquM5c7NHycfi+3BAwoXLR4ZW0QZK1y0GAf37iE0NJS/zpwmKDCQSxfP07JVGx4EB3Py+HGKlyzJgT27CQ9PfKtdUGAAub2iKn7Orq5cvXCBfIWKRMV/4QIu0Vrkc+X14nC0npxRX3/O+b//wsEw6D9sVKxjLJrhTY7cifuqBgUEkNurQORrF1dXrlw8T/7CUXFduXj+sbjycWhXzB6m+PjOno67hyfuj/WWPElwYCA58kYv865cu3yBvAULRa67dvkCzq4uka+z58nD8X1mz5yzqysbFv1G81ffYOvKpYSHhQHgd+E8AvzwXncehYZSpFQZOvf9PFGxQfq9XqTXuOx5EBhIjjxReezs4sq1S5dStMJhz6WLF8mYKXPk69x58nDyxPFE7aNlk0aIIbRp244evRN//XrWuLs4c/1eVOU1NCyMvFky4ed/P1ba7zq0wN3FGf+gYFYcNM9ri8qlCQp5yLELiW9wSku2dDauXynVJK5tInJdRPIopfxEJA9ww06y2sBzIvIO4Ak4i0igUirxF0UtXump7KRVuUlIT8hKEckMDAcOYc6MnxffG6J3+yyel/zjdW3h4dy6eZPvRo5hwiwfzpw4wfKFCwgJCWHLhnV8PWQYc1euJXvOnAwZ+FWyH9+eoUOGcPXqVX4aPjxVjve0lLIR4H+Hd34aQ7t3+7Jz1TLu3b6ZqjGEh4dz++ZNBo0Yw/iZVj4uimqhDQ0N5YsP36VKjZqUrVAxVWN7t++nZMycmY4vt2L4D4PImCkTDoYDufLkod1rb/DdF/15q30bMmfNhhhp0xLa9/uh/DxvMcXKlGO+9y8xtm1auYwzx47S67Mv0yS2uBzZv5fNa1bS85PU/z17rfcH7N+6iW97vsXDkAeR6222cO7duU2vLwfRf+R4zv9xhu1rlqdoLOn1epFe43rWTPSexurfN/HjT8NZMG8uhw8eSOuQ0pVv5q/hq7mrcBCD50sXw93ZmedKF+XXTXvSOrR/u+VAZ2u5M7Ds8QRKqY5KqQJKqUKYQ2tm6QrIf16KlZsn9oQopb63FheLyErAVSl17wnvmQJMAThy9qLdql7e/PnZ+nvUJMcb16+RxZokGsHV1Y3zZ/+hWMlShIaGWpNzvciZKzfZc+aMnHBetGRJTh0/SkZrOEG5SuYwmsYvtGTx3DlP+ohxKliwIKtWRo3nvXr1KtlzxB7eNWvmTFYsX85sHx88PRM/mTWhlk2dwD/HjwCQMWs2bl+LajF69PAhObzyJXhfbh6e5C1cDGdnVwoUL4mzmysX/zxD+dqJG76WJ19+AqLl483r18iSzU4+/vMPxUqY+aisfMz1eD6WKMnp40dp3f5VAPq/05Ms2bLR7+tBiYopQt78+QnYEDVU6sY1O7G5uXHun78oUSpmGTMMg9GTouYcvNa6JaWs1uGOXbrRsYs5Rn700B8xjITU5WHa6OGcOLgfgCzZc3DtStSkzdCQEPIWjNmLlbdgQR4+DIl8ff3qFTw8M8Tab4tXOjBu0NeRrw/v2cWyubPp3f8LcuaxP149Ou9RP3H8gBlX1hw5uHblYuS2hyEheD3WCu1VoNBjcV3GI0PsuB53/u8/mTpyKB269KBk+QpPTA8wb8IYzhw5CEDmbNm5eTV6mQ8hd76Y5yx3voKEhjyMfH3Lzw936ztZslIVvpowFYC/jh/hstUTlzVHLjJnyx45JDFfkaKcO32a51q0TlCMEdLb9SK9xxVh/sSxnDl6CLDy2C8qj0MfhpD7KR4sklT5CxRg/ZrVka+v+fmRLdoQyCcpWaoUAJUqVyF37jzs2b2LylX/ffN736xfjTL5zd5W/6BgcmWKug44Ozpy1T/uW4WQsDBOXb5GlaL5uXk/CCdHB75s1wwAQ4T+bRozasVm/O4GxLmP9CD9tGUnyFBggYh0Ay4ArwKISDWgt1Kqe1oG91/zDJWdFCs3Cbp7EpE6IvIG5gT1l0TkraQeMEL9xk0JDg7i1PFjhAQHc/rEcZr9L+afJilXqRKrl5iTSudMnUKWbNkwDIOWL7fj7p073L93l9DQUM7/8zdFS5SkQOFCBAcFceWiOTdi9/ZtZM+ZM8kxtmjZksDAQA4dOkRwcDCHDx2iXfv2MdKsW7uWSRMnMmr0aIpYQ45Sykvd36XvWG/6jvWmVNWanDmwF5vNxtGdW3BwcEjwUCyA0tVqcfGvMwDcvu5H6IMQvIoUT3RMEfl4Olo+Nn0xdj6uWWrm49xfo/KxRZvH8vHs3xQpXhKAgf0+4mFICIPHTkh0TBEaNm1OcFAQJ48dJTg4mJPHj9GiVcwhZxUqVWaFNdZ75pRfyJotO4ZhcP/uXe76m4/BXvzbXAwxqFG7LgAXz58D4LqfH7u2b+ONtxP2NOuuH3/KKGsyeZW69Ti0azs2m42dGzfg4OgYYygWQL5CRXBwcGDnxg3YbDYO7dpOlbrmk4JOHzsSmW7zyuV4ZDCHnZ398wwzfh7FK116ULpSlQTF1aPvZ/w8dxE/z11E1TrPcWDnDmw2Gzt+X4eDo0OMoVgA+Qubce34fR02m40DO3dQtc5z8R7j9o3rjPxmAI1ebE395i0TFBfA6+9+xCDv2Qzynk35mnU4tncXNpuN/Vs2YTg4xhiKBZC3YCEMBwf2b9mEzWbj2N5dlK9pPjXu+pVLAISFhbFs1jTK1agFQJ3mLbh/7y5BAfcJDQ3F7+J58j72mRMivV0v0ntcETq88yEDJ89k4OSZlKtRm+P7dpvlatsmHBwcU30oFkCz5i8QFBTE0SOHCQ4O5tjRI7R+Od6/3xvJ7+oVAgMDAbh04QLXb1ynYiX7k7SfdbO3HWDAnBUMmLOCI2cvU6mw2RBWo1gBwm22WEOxPF2dI+eJOBoGpbxyceNeACcu+fHprGX0n72c/rOXY1OKYUs3pvsKyLNGKXVbKdVYKVVcKdVEKXXHWn/A3o2kUmqG/hshWkqWG3nSc4pFZDZQFDgChEcdQ30Q97uixNUTArDIZxa+v5nDtcqUr8BXQ4YxsN/HlC5fntc6dyUwMJBPe/fg3l1/HB2d+GzQD5S1Hhs5ddxYNlut3AULF2HwWPMpQD//NJi9O7YjIrh5ePDdiDHk8Yo96bpwjiwJCR/vKVOYPm2a9ZjGqkyYOJGePXpQuVIl+rz7Lk0aNSIgIAAn66lOnh4erF2/HoCGzz9PcHAwSikMw6Bn79507do13uMt2nciQXHZbDZm/Pg1d677IYZB8ze6UK6WeZM86sMe9B1rtuLP+mkQ1y+ej3w0qlfRErzRdwA2m43ZPw3i1tUrIFCxXgOavNopzuNVKRT3xPVFc2ax5Le5KKBs+Qp8OXgY3376MaXKReVj/z5R+dh/0A+Rw6umjh/Llmj5+OOY8fz95xm++uh9HB0dEauXoXa9+rzTz/5jqV2d4u7Q+23WDBbOnQMoylWoxKBhI/ji4w8oU74Cnbp2JzAwkA97dOGuvz+OTk589cMQylesxMnjx/mmf18Esyfnyx9+jHyscI+OHfC/Y1ZQmr/4P3q8Z/+rcOnO3TjjstlsDO3/Mdetx82+3qMPNZ43H6nZt9OrjPIxh6Xt27qZeVMmYlOKXHm9+HzYaAzD4Kve3QgKuA8iuLm503vAVxQoUozvP3qXG35XcXJyMg8kBqNmx3x6l6PhEG9cP/T7IDKujr3ejXzM7gdvtOfnuYsA2LN1E3N+mYBN2cidNx9fjhiLYRgs8ZnBhuVLUcqGiODu4cmI6XMY891X/HH8GE5OzpHH+vynUeTNXyDG8e8ExT1Z3WazMe7rz7jldwXDcOClLt2pUtd8qMHAHm8yyNt8gtqhnVtZOt0bZbORI68X7333E4ZhMOfnkZEt7l4FC9Pzq+8ie7GWzZzKwe1bAMiTvyB9Bv4Y49hNyxWLM67oUvt6kVCpHde6Y38mKc6IxzDf8ruKGA681Lk7leuaFdxBvTozcLL5FMBfvv+Kq+fPRV7XChYvSbfPv0nQMeoUL5SgdLOm/YrP7JmgFBUrV2b46J/56N0+lK9YiW49e7FuzSpGDB1iPhBFBCdHR9Zu2sqKpUuZ8PNoRASlFA0bN+WzL588LPj8e4nrebOn2oTFuGTLCSJgs3Fj21r+mjT4yW+Mx5IXP01w2n6tG5IzUwZsSrFw1xEOnjUr/kM6tmLAnBXkypSBD198HkMEBG7eC2Tsqq2EPfY0rGFvtmb40o1PfETvyM5t0vypAN0mzUvVBu1f+7ye5p9ZSx6pWXbSa7lJSCXkNFBGPSlhHOKrhKSlhFZCUltCKyGpLb5KSFqLrxKSluKrhKSl+CohaS2+SkhaSmglRDMltRKSGhJaCUltyVEJSQmJqYSkNl0J0Z5luhKSsKdjnQByA35PSqhpmqZpmvZfkZ6ecKQ9W3TZiacSIiIrMOfNZABOicg+IHLGp1IqfTbbaJqmaZqmaZqWrsXXEzIC8y+k/wS0ibY+Yp2maZqmadp/VhJHqmuaLjvEUwlRSm0FEBGniOUIIuKW0oFpmqZpmqZpmvbvFN9wrD6Yf4a9iIgci7YpA5DwP4+saZqmaZr2L2TTjdlaEumyE/9wrLnAGmAIEP2vHgZEPCNY0zRN0zRN0zQtseIbjnUPuAe8nnrhaJqmaZqmaZr2b5c+/8CCpmmapmlaOqcnF2tJpcsOGGkdgKZpmqZpmqZp/y26J0TTNE3TNC0JdGu2llS67OieEE3TNE3TNE3TUpnuCdE0TdM0TUsCm27N1pJIlx3dE6JpmqZpmqZpWipL8Z6QzSf/SelDJMnykIdpHYJd3b2c0zoE+67/zYaHHmkdhV0ZXF3SOgS7Mrqlz7iK5Mya1iHEqfT5a2kdgl3vz1ye1iHYZUhaR2DfiMYV0jqEOH29bFNah2CX+4ufpnUIdr28anhahxC3zm3SOgJ0Y7aWVLrs6J4QLYHSawVE0zRN0zRNe/boOSGapmmapmlJoNDN2VrS6LKje0I0TdM0TdM0TUtluidE0zRN0zQtCfQTjrSk0mVH94RomqZpmqZpmpbKdE+IpmmapmlaEui/eq0llS47uidE0zRN0zRN07RU9sSeEBEprJQ696R1mqZpmqZp/yU23ZitJZEuOwnrCVlsZ92i5A5E0zRN0zRN07T/hjh7QkSkFFAWyCQibaNtygi4pnRgmqZpmqZpmqb9O8U3HKsk8D8gM9Aq2voAoEdKBqVpmqZpmpbe6cnFWlLpshNPJUQptQxYJiK1lVK7UzEmTdM0TdM0TdP+xRLyiN7bIrIRUuMUKAAAIABJREFUyKWUKiciFYDWSqkfUjg2TdM0TdO0dEu3ZmtJpctOwiamewMDgEcASqljwGspGZSmaZqmaZqmaf9eCekJcVdK7ROR6OvCUigeTdM0TdO0Z4JNt2ZrSaTLTsIqIbdEpCigAESkPeCX3IHYbDYWjf4R/+t+GIbB86++RYkqNWKkeRAYyPzh3xIa8gAQsnvlp+0HnwHwu8+vnDtxGBAMBwcavd6FwuUqJktsPZvWIUdGT2xKsXz/CU5eivnxXZ0debf5c7g4OQGKa3cDmLZpDwBeWTLxRv1qOBoGCOw8fZZtp/956phmL1/NrOWrUSiqlC7FsE/et5tu0vzFLFj7OwO6d6ZZ3Vqs2b6LMbN/s7Yq2jZpRK9XX37qeKKz2WxM+/FrbvldRQyDF9/qRrkadWKlmznsO66eO4tSNr74ZVas7RsXzWPv72to9XYPytd6LsmxjBv4GTeuXsEwDNp26UXlOrH3dXjXdnynTcambOTM68X7g37CMAyO7tmF7/RfsNlsiAit3+xKtecasmPdKlbNm4WjkxMABYqVoMdn3yQqrqGf9cXvyiUMw6Bjr/eo8dzzsdLt276FOZMnYLPZyOOVn89/GoVhGPz0RT+uXDiPiODu4Um/H4aSLUcuQkNC+PHTj7jrfxulFCXKlOO9L79N0rmbM2sGc2fOQClFpapVGTx8VIztSxcvYtrkSTx8+JB2r3ag57sxy+DNmzd469X2FChUiMnTY+fv05i1bCWzlq0yy3+ZUgzv95HddJPmLWT+2g0M6NGF5vVqM3flGmYuW4nNpjAMoWvbl+jQolmyxvZ9hxZ4Zc2MTdmYumkPe/68EGfan7u0xcPFmW6//BZj/Ucv1qdK4fx8Ons51+8FJEtc33VoQd4sZlzTNu1hz19xxzX27ba4uzjTY7IZ14CXm1I4Z1YAQh+FM2zZRi7e9k+WuGYsWMT03xaigGoVyjPq269ibB84YjRb9+xDBBwdHBn48QfUq1mdoydP884XX+PsbH4H8+bMyZwJY5Mlpghftm1K7swZsSnF7G37OfDPpVhphnVqjYuTIyJw834gP/qux2aDyoW9eKt+dRwMgwehjxi8ZAP3gkOSJa6+rRqYcdkU83cd4vC5K7HSDOrQAhdHRxC4HRDEyBWbsNmitndtWJOyBfIw1HcDNwOCkiWu+FQdOw/XXPlQYWHs6tQwxY+naVr6l5DhWO8Ck4FSInIF+Ajok9yBHPx9FcH379Fj6Hjqvfwa2xb52E1XudEL9PxpAm8PGoH/dT8OrF8FQK3/taXH0PH0GDqO8vUasHVB8tz01C9dlAyurvy4eD1rDp2iVdWydtPtOHOWwb7rGbZ0I9kzevBc6SIAtK5Rnr/9bjJkyQYW7TpC/TJFnzqm0LAwZi5bxfBP3mf5+JEc/eNPdh4+FivdLf+7rNq6A1cX58h1tStVYMX4Eayb8jMTvuzP/LUbCA0NfeqYotu5ahkB9+7Sf/yvNH/tTdb4TLebrmKd+nT9YpDdbQF3/TmyYwtOLi5PFcum5b7c9/fne28fWnXswpKZ3nbTLZnhTatOXfje24f7/v5sXuELwLLZv1K/ZWu+9/ahfsuXWDU3qlx5ZMjI994+fO/tk6gKCMAa3wXc9b/DWJ+FvNqlB/O8J9pNN897Eq926cFYn4Xc9b/DWt+FAFSqXosR0+cy1mchWbNnZ9qYEebnmDOT8PAwxvosZPCkafxx4hh/nz6ZqNgAQkNDmTNjOoNHjGLRyjUcP3KE3Tt3xEhTtFhx+n3xFbnz5LW7j28+60/2HDkSfewnxhYWxsylKxn+6UesmDiGo2f+YuehI7HS3fK/y8qt23GNVoZyZc/GuC/7s+HXiXzZuzuT59v7M0hJ91L1cmTxdKfrpHnM2rqfrg1qxpm2Q+1KhIWHx1pfJGc2iufOQXj0O8ZkiCuzhzvdf5mHz7b9vN0w7rherV2JR4/FNWnddnpOnk/PyfM5ffU6vZrVTZa4QkMfMe23hYwe9A1rfWZw+MRJduzdHyPNu2+/xZZF89i8cB7tX2zB4HFR3xUnJ0c2LzS3JXcFpGXl0mRyd+X9aYuZv+sQHZ+rajfdj77r+XC6Lx9M88Xd2Yn2NSsB0Pn5Giw/cIIPpvty4pIf3RrVSpa4mlYoSSZ3N/rPXo7v3qO8Uruy3XQjl2/m8zkr+NxnBW5OTrSuWj5yW4FsWSiUM2uylrEnubpmEX+M+y7VjpdalErdf9q/hy43CaiEKKXOKqWaADmAUkqpekqp88kdyD9HDlK0UjUMw6B0zXrYwsO5eSVmq5ObpycVn28CgLOrKxmzZuferRsAeGbOEpnuYUgIxBw+lmRl8+fhhNXzceT8FQwHg1yZMsRIExIaxl6rVTHMZuNu4AOyenqYGxW4Wi11nq4uPAp/+ov+uh278XBzo1Lpkri7ulKhRHGWbtwSK92AMRNo16wRDoZD5LrMGTxxdjYrJUEhydMq97hTB/dSplpNDMOgUr0GhIeHcf1S7FbXSvUakCt/Qbv7WDB+JNUbN8cwElJPjtuxvTupULMOhmFQo0FjbGFhXL1wPkaaqxfOYwsPp0aDxhiGQYWadTi6ZydgFqPgwEAAggLu4+ru/lTxRDi4cwfV6tTDMAzqNm5GeFgYl86fjZHm0vmzhIeHU7dxMwzDoFqdehzYuR2A5i+3j8zHYmXKcf/uXSteIezRI0JDQwkKCkBEyJQla6Lj+33tWjw8PKhYuQru7u6Ur1iJFUt8Y6QpX7Ei9Rs0ROx81zauX0tAwH0qV62e6GM/ybodu/Bwd6OyVf4rlrRf/j8fNY72zZrgEK0MNa5VgxKFzDJXr3JFbEoRGBycbLHVKl6IPX+eB2Db6bM4Ohjkz5Y5VrqMbq40KlecWVv3x9r2Qcv6zNiyL9liAqhRrBB7/4oWlxF3XA3LFsdnW8y47kZrwXd1dEy2CZVrNm/Bw92NKuXL4u7uRqWyZVi8em2MNDmzZ4tcDgoOhuS5tD9RtaL5OXDW/A3a9cd5HA0HvLJmipUuonfD0TAwxIg8N86ODmw++TcA20//Q6Gcif8e2lO5sBdHzl0GYN/fF3EwDPJkyRgr3f0H0eIyhOg51rlhDRbtOZos8SSU39rFPLx1LVWPqWla+vbE4Vgi0vex1wD3gINKqdjNj0kUEhxElpy5I187Obtwx+8KObzy201//85t7ly/St2XXolct362N+eOHwalaNnd/vCkxHJzceLW/cDI148ehZMzk2ecQyQyuruSI5Mna4+cBsB371G6Nq7FV+2aIwJL98busUisS9eukzGikgPkzpGdk3/FHOL1++59+N8PoEubVixevznGtlXbdjJ29m88CgvjtRbNIm9mk8uDoACy545qHXd2ceHGlYtxVjged2LfLoIC7lO/VVv2b1r3VLEEBwaSM69XtFhcuXb5AnkLFopcd+3yBZxdo1rLc+TJy/F95lOp23d/h9k/j2D3xnWgFD0HRPXcBAXc5+senXB2caVd116UqZLwG+7gwAByeeWLisvVlSsXLpC/UJHIdVcuXMDFJervgubM68Wh3Ttj7Wvvlk1UrGm2srZ54y2OHdjHx291AKWoXu95cuTOk+C4Ily+dIGMmaJuuHLlzs2pkycS9N6wsDAmjBnN4JGjWb18eaKP/SQX/a6T0dMz8nXu7Nk48XfM8r9h1x7u3r9Pl7atWbR+o939TJq/mAwe7ngmU8USzIYGP//7ka9DHoVRIHtmLt2+GyNdv1YN2HjiT4IePoqxvn2tigQ8CGG/nWE/TxvX1WhxPXwURv5ssePq+z/7cYE5NKlIruzYbIpv5q9KlrguXrlKpgxRN9B5cuXk+Jk/YqX7ethItu7Zh1KKkQO/jFz/6FEYjV55A0dHR3p2fI32/2uZLHEBeLi6cC3GOXuEV9ZMXLlzL1ba4W+2xsPFmTuBwSzed9RKH8ZL1cqx7MAJXqhU2hySmwzcXZxj/P6EhoWRN0umGOUuwncdWuDu4ox/UDArDh4HoEXl0gSFPOTYhavJEs9/nR7XryWVLjsJG45VDegNeFn/egEvAN4i0t/eG0Skp4gcEJEDu9euTLZgI4SFhuI7dggFS5cnb7GSkeubvdmDXsMmUqZ2fbYvnpvsx30SwzDo0bgOf/nd4OItc7x0g7LFOHv9Nj8sXsfKAydpVb38E/by9MLCwhgz+zcG9ulud/uL9euy3nscgz/sw9KNW5K1Jfhp2cLCWDdvJm26v5vWoQCwfvFv1GvWksHT5lGnaQtmjf0JgPLVazFgzGS+9/ahdpMXmDNhdJrE9/MPAxHDoEPXXgDs2bYZEWH0jHl8NeJnDu3ewZ8nj6dqTEO/H0SZcuUpVbpMqh43QlhYGGNmzeObd3rGmWbHwSP4rt/IoPd6pWJkphrFCpDZw50Fu2O2RHu6OtOsQklGrdya6jFFxJXFwz3OFvIffTfQbdI8zly5Tud4hpmlhO/7f8I23/m0ad6U4ZOmAFC0cEF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" + ], + "text/plain": [ + " age sex cp ... ca thal target\n", + "count 165.000000 165.000000 165.000000 ... 165.000000 165.000000 165.0\n", + "mean 52.496970 0.563636 1.375758 ... 0.363636 2.121212 1.0\n", + "std 9.550651 0.497444 0.952222 ... 0.848894 0.465752 0.0\n", + "min 29.000000 0.000000 0.000000 ... 0.000000 0.000000 1.0\n", + "25% 44.000000 0.000000 1.000000 ... 0.000000 2.000000 1.0\n", + "50% 52.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", + "75% 59.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", + "max 76.000000 1.000000 3.000000 ... 4.000000 3.000000 1.0\n", + "\n", + "[8 rows x 14 columns]" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "iNdi8cwN9wmU", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 314 + }, + "outputId": "1e819b7f-f8cc-4418-f4f7-d5c8c010c77e" + }, + "source": [ + "# Filtering data by NEGATIVE Heart Disease patient\n", + "pos_data = data[data['target']==0]\n", + "pos_data.describe()" + ], + "execution_count": 9, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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mean56.6014490.8260870.478261134.398551251.0869570.1594200.449275139.1014490.5507251.5855071.1666671.1666672.5434780.0
std7.9620820.3804160.90592018.72994449.4546140.3674010.54132122.5987820.4992321.3003400.5613241.0434600.6847620.0
min35.0000000.0000000.000000100.000000131.0000000.0000000.00000071.0000000.0000000.0000000.0000000.0000000.0000000.0
25%52.0000001.0000000.000000120.000000217.2500000.0000000.000000125.0000000.0000000.6000001.0000000.0000002.0000000.0
50%58.0000001.0000000.000000130.000000249.0000000.0000000.000000142.0000001.0000001.4000001.0000001.0000003.0000000.0
75%62.0000001.0000000.000000144.750000283.0000000.0000001.000000156.0000001.0000002.5000001.7500002.0000003.0000000.0
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" + ], + "text/plain": [ + " age sex cp ... ca thal target\n", + "count 138.000000 138.000000 138.000000 ... 138.000000 138.000000 138.0\n", + "mean 56.601449 0.826087 0.478261 ... 1.166667 2.543478 0.0\n", + "std 7.962082 0.380416 0.905920 ... 1.043460 0.684762 0.0\n", + "min 35.000000 0.000000 0.000000 ... 0.000000 0.000000 0.0\n", + "25% 52.000000 1.000000 0.000000 ... 0.000000 2.000000 0.0\n", + "50% 58.000000 1.000000 0.000000 ... 1.000000 3.000000 0.0\n", + "75% 62.000000 1.000000 0.000000 ... 2.000000 3.000000 0.0\n", + "max 77.000000 1.000000 3.000000 ... 4.000000 3.000000 0.0\n", + "\n", + "[8 rows x 14 columns]" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DbzJPYQV9lPu" + }, + "source": [ + "Assign the 13 features to X, & the last column to our classification predictor, y" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "FjMSVs94960R" + }, + "source": [ + "X = data.iloc[:, :-1].values\n", + "y = data.iloc[:, -1].values" + ], + "execution_count": 10, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "kYwABWTb-AJx" + }, + "source": [ + "Split: the data set into the Training set and Test set" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "DlgSSiYE99tk" + }, + "source": [ + "from sklearn.model_selection import train_test_split\n", + "x_train, x_test, y_train, y_test = train_test_split(X,y,test_size = 0.2, random_state = 1)" + ], + "execution_count": 11, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "MuoZklrK-FJY" + }, + "source": [ + "Normalize: Standardizing the data a mean of 0 and a standard deviation of 1." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "rGfWqZir-LLs" + }, + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "sc = StandardScaler()\n", + "x_train = sc.fit_transform(x_train)\n", + "x_test = sc.transform(x_test)" + ], + "execution_count": 12, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CwBqTSrI-WVv" + }, + "source": [ + "Modeling /Training" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "xk0Uem6P-qgq" + }, + "source": [ + "Model: Random Forest\n", + "\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "JaSaSKDT-qE-", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "bbcc9de5-0a3e-4a70-9eb9-3530cc7803e0" + }, + "source": [ + "from sklearn.metrics import classification_report \n", + "from sklearn.ensemble import RandomForestClassifier\n", + "\n", + "model3 = RandomForestClassifier(random_state=1)# get instance of model\n", + "model3.fit(x_train, y_train) # Train/Fit model \n", + "\n", + "y_pred3 = model3.predict(x_test) # get y predictions\n", + "print(classification_report(y_test, y_pred3)) # output accuracy" + ], + "execution_count": 13, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " precision recall f1-score support\n", + "\n", + " 0 0.88 0.70 0.78 30\n", + " 1 0.76 0.90 0.82 31\n", + "\n", + " accuracy 0.80 61\n", + " macro avg 0.82 0.80 0.80 61\n", + "weighted avg 0.81 0.80 0.80 61\n", + "\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NYkRl2Et-1vo" + }, + "source": [ + "Making the Confusion Matrix" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "qH0hRD8j-3m9", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "f8f38c70-ce4c-4824-9ba3-13d9e6b06f5b" + }, + "source": [ + "from sklearn.metrics import confusion_matrix, accuracy_score\n", + "cm = confusion_matrix(y_test, y_pred3)\n", + "print(cm)\n", + "accuracy_score(y_test, y_pred3)" + ], + "execution_count": 14, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[[21 9]\n", + " [ 3 28]]\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0.8032786885245902" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "fu7KQOnjzY6g", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "87984799-bb19-4075-de5c-d83033940f4c" + }, + "source": [ + "TN = cm[0][0]\n", + "FN = cm[1][0]\n", + "TP = cm[1][1]\n", + "FP = cm[0][1]\n", + "\n", + "specificity = (TN/TN+FP)\n", + "\n", + "print ('Specificity = ', specificity)" + ], + "execution_count": 15, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Specificity = 10.0\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Vt5yCe496RoC", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "082a4a24-d607-44b9-d067-f69f77657a84" + }, + "source": [ + "senstivity = (TP/TP+FN)\n", + "\n", + "print ('Senstivity = ', senstivity)" + ], + "execution_count": 16, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Senstivity = 4.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "HrNkVFg8-_hj" + }, + "source": [ + "Feature Importance" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "qCRNG8uR-6mX", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9cbe2af3-6685-4e5e-9c62-6124190834ae" + }, + "source": [ + "# get importance\n", + "importance = model3.feature_importances_\n", + "\n", + "# summarize feature importance\n", + "for i,v in enumerate(importance):\n", + " print('Feature: %0d, Score: %.5f' % (i,v))" + ], + "execution_count": 17, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Feature: 0, Score: 0.07814\n", + "Feature: 1, Score: 0.04206\n", + "Feature: 2, Score: 0.16580\n", + "Feature: 3, Score: 0.07477\n", + "Feature: 4, Score: 0.07587\n", + "Feature: 5, Score: 0.00828\n", + "Feature: 6, Score: 0.02014\n", + "Feature: 7, Score: 0.12772\n", + "Feature: 8, Score: 0.06950\n", + "Feature: 9, Score: 0.09957\n", + "Feature: 10, Score: 0.04677\n", + "Feature: 11, Score: 0.11667\n", + "Feature: 12, Score: 0.07473\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "tUtHmfsu_EOF", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "outputId": "3ccc0576-c4dd-41ba-e83e-cac8040ced12" + }, + "source": [ + "index= data.columns[:-1]\n", + "importance = pd.Series(model3.feature_importances_, index=index)\n", + "importance.nlargest(13).plot(kind='barh', colormap='winter')" + ], + "execution_count": 18, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 18 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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GmZnl4oRhZma5lJowJF0raa6kpWlaciR9UNKvJc2WdJmkS9L60ZL+S9Kc9DiszNjNzAabsscwPhART0jakqzWxXXA54EDgDVkExUuTG2/AXwtIn4laSfgBmDvMoI2MxuMyk4YZ0o6MS2/HngfMKuzRoakmcAeaftbgLFaP4q9taSREbG29oAuoGRm1hqlJQxJR5ElgUMi4llJtwH303WvYTPg4Ih4flPHjYhpwLTsNdp9PYuZWUHKHMPYBngyJYu9gIOBEcBfSRolaSjw7pr2NwIf73wiaf8+jdbMbJArM2FcDwyVdB9wAXAP8Ajwb2RFku4EVgCrU/szgXZJiyQtA07v84jNzAaxytXD6ByXSD2Ma4DvR8Q1vTmW62GYmfVcf6qHcZ6kBcAS4GHg2pLjMTMzyr9KaiMRcU7ZMZiZ2caq2MMwM7MKcsIwM7NcnDDMzCwXJwwzM8vFCcPMzHKp3FVSRXIBJRusKnZ7lQ0QTfUwJK3tYv10SRObOXaDY57WOdW5mZn1PZ+SMjOzXHInDElnS1qSHmfVbZOkSyQtl3QT8OqabSskXSRpcSqKtFta37AgkqQDJd0tab6kuyTt2SCWd6Q2O/T6nZuZWY/kGsOQNB54P3AQIOBeSbNqmpwI7AmMBXYElgHfr9m+OiL2lTQZ+DrwTrouiHQ/cEREvCTpLWSTEb4ya22qn3E28PaIeLJBrK6HYWbWAnkHvQ8HromIZwAk/TdwRM32I4ErImId8KikW+r2v6Lm59fScsOCSGTTns+QtDsQwOY1xzkGaAeOi4inGwXqehhmZq3RV1dJRYPlhgWR0sD2rRFxoqQ24LaazQ8Cu5BV4fM0tGZmfSjvGMYdwAmShksaQXYK6o6a7bcDkyQNkTQGOLpu/0k1P+9Oy10VRNqGrC4GwGl1x/kt2empH0oalzN2MzMrQK4eRkTMkzSdrLARwPciYn7N6aRryE4XLQN+x/qk0GmUpEXAC8DJad2ZwLfS+qFkSed04CKyU1JTgesaxHK/pPcAMyW9KyIe7Cru8ePB5TDMzIrR8gJKklYA7RGxqqUv1IALKJmZ9Vx/KqBkZmYV1PJB74hoa/VrmJlZ67mHYWZmuThhmJlZLk4YZmaWixOGmZnl4oRhZma5uICSmbWEizgNPO5hmJlZLk4YZmaWS2UThqTJkhZJWijpR5LeJeneVFjpJkk7lh2jmdlgUskxjDQT7VTg0IhYJWk7smnRD46IkPQh4FPAPzXY1wWUzMxaoJIJg2zm25mdExZGxBOS9gWuStOnvwp4uNGOLqBkZtYalT0l1cA3gUsiYl/gI8CwkuMxMxtUqpowbgFOkrQ9QDolVVtY6dSyAjMzG6wqeUoqIpZKOh+YJWkdMB84j6xo0pNkCeUN3R3HBZTMzIpTyYQBEBEzgBl1q39WRixmZlbdU1JmZlYxThhmZpaLE4aZmeXihGFmZrk4YZiZWS5OGGZmlosThpmZ5VLZ+zCK4AJKZgOPCzOVp0c9DEnbSjojLR8l6Rc93H+6pIk92ae3r2VmZsXq6SmpbYEzWhGImZlVW08TxgXArpIWABcDIyVdLel+SZdL2QkgSV+QNEfSEknTOtfX6qqNpN1SgaSFkuZJ2jXt0vC1zMysb/Q0YZwLPBgR+wOfBN4EnAWMBXYBDkvtLomICRGxD7Al8M4Gx+qqzeXAtyJiP+BQ4A9pfVevtQFJUyR1SOqAx3v49szMrCvNXiU1OyJWRsTLwAKgLa0/OpVTXUxWDGlcg303aiNpK+C1EXENQEQ8HxHPdvNaG4iIaRHRHhHtMLrJt2dmZp2avUrqhZrldcBQScOAS4H2iPi9pPOoK3aUp02e12oydjMz64Ge9jDWAFt106bzF/8qSSOBRldFNWwTEWuAlZJOAJC0haThPYzRzMxaoEd/pUfEnyXdKWkJ8BzwWIM2T0m6DFgC/BGY08M27wO+K+lLwIvAST2JsZYLKJmZFUcxgO+CaW9vjw5nDDOzHpE0NxsH3pCnBjEzs1ycMMzMLBcnDDMzy8UJw8zMcnHCMDOzXJwwzMwslwF9t7TrYZjZYNSquyXcwzAzs1ycMMzMLJfKnpKSNBk4BwhgEdmEg88D7cDWwNkR4Sp8ZmZ9pJIJQ9I4YCpwaESskrQd8FWyKc0PBHYFbpW0W0Q8X7fvFGBK9mynPozazGxgq+opqWOAmRGxCiAinkjrfxoRL0fEb4CHgL3qd3Q9DDOz1qhqwuhK/dj/wJ050cysYqqaMG4BTpK0PUA6JUVat1mq870LsLysAM3MBptKjmFExFJJ5wOzJK0D5qdNvwNmkw16n14/fmFmZq1TyYQBEBEzgBmdzyVNB26KiNPzHsMFlMzMilPVU1JmZlYxle1h1IuI08qOwcxsMHMPw8zMchnQNb0lraGaV1LtAKwqO4guVDW2qsYF1Y2tqnFBdWOralzQt7HtHBEb3cjWb05J9dLyRoXMyyapo4pxQXVjq2pcUN3YqhoXVDe2qsYF1YjNp6TMzCwXJwwzM8tloCeMaWUH0IWqxgXVja2qcUF1Y6tqXFDd2KoaF1QgtgE96G1mZsUZ6D0MMzMriBOGmZnl0m8ThqS3SVou6QFJ5zbYvoWkq9L2eyW11Wz7TFq/XNJbqxCXpGMlzZW0OP08psi4momtZvtOktZKOqcqcUl6o6S7JS1Nn92wsuOStLmkGSme+yR9pqiYehDbkZLmSXpJ0sS6badK+k16nFqFuCTtX/PvuEjSpCLjaia2mu1bS1op6ZKqxJX+T96YvmfL6v/PFi4i+t0DGAI8SDbF+auAhcDYujZnAN9Jy38PXJWWx6b2WwBvSMcZUoG43gS8Ji3vAzxSlc+sZvvVwEzgnCrERXYf0SJgv/R8+4r8W54CXJmWhwMrgLY+/szagDcCPwQm1qzfjqz42HbAqLQ8qgJx7QHsnpZfA/wB2LYKn1nN9m8APwEuqUpcwG3AsWl5JDC8qNgaPfprD+NA4IGIeCgi/gJcCRxf1+Z41s92ezXwZklK66+MiBci4mHggXS8UuOKiPkR8WhavxTYUtIWBcXVVGwAkk4AHk6xFamZuI4DFkXEQoCI+HNErKtAXAGMkDQU2BL4C/B0QXHlii0iVkTEIuDlun3fCvwyIp6IiCeBXwJvKzuuiPh1ZJU0Sf8P/kSxJTOb+cyQNB7YEbixwJiaikvSWGBoRPwytVsbEc8WHN8G+mvCeC3w+5rnK9O6hm0i4iVgNdlfoHn2LSOuWu8G5kXECwXF1VRskkYCnwa+WGA8TcdF9ldpSLohddk/VZG4rgaeIfsr+XfAl2N9meG+iq0V+/bJsSUdSPbX9oMFxQVNxCZpM+ArQKGnYpuNi+z7/5Sk/5Y0X9LFkoYUHmGNgT41SL8jaRxwIdlfz1VxHvC1iFibOhxVMRQ4HJgAPAvcLGluRNxcblgcCKwjO7UyCrhD0k0R8VC5YVWfpDHAj4BTI2Kjv/RLcgbwvxGxsoLf/yPITmf/DrgKOA34z1a9YH/tYTwCvL7m+evSuoZt0qmBbYA/59y3jLiQ9DrgGmByRBT511WzsR0EXCRpBXAW8FlJH6tAXCuB2yNiVeqK/y9wQAXiOgW4PiJejIg/AXcCRc4B1Mx3uOzvf5ckbQ1cB3wuIu4pKKYiYjsE+Fj6/n8ZmCzpggrEtRJYkE5nvQRcS3Hf/8ZaOUDSqgdZZn2IbNC6c6BoXF2bj7LhgORP0/I4Nhz0fojiBkqbiWvb1P5vq/aZ1bU5j2IHvZv5zEYB88gGlocCNwHvqEBcnwZ+kJZHAMuAN/blZ1bTdjobD3o/nD67UWl5uwrE9SrgZuCssr7/XcVWt+00ih30buYzG5Laj07PfwB8tBWf3yuv2cqDtzRweDvwa7LznJ9L674E/E1aHkZ2Rc8DZHXAd6nZ93Npv+XAX1chLmAq2XnvBTWPV1chtrpjnEeBCaOAf8v3kg3ELwEuqkJcZFerzExxLQM+WcL3fwLZX6DPkPV6ltbs+4EU8wPA+6sQV/p3fLHu+79/FWKrO8ZpFJgwCvi3PJbsSsHFZAnlVUV/12ofnhrEzMxy6a9jGGZm1secMMzMLBcnDDMzy8UJw8zMcnHCMDOzXJwwzMwsFycMMzPL5f8B3t5xQ4QRNEoAAAAASUVORK5CYII=\n", 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hJM97TEVsq7Oh9+ozalJteRkWxDKrNyIiInLcAketlVXg96TC0Hh19I0/iM0py0sdd/VHUtWnyahClebl0N43OIi9ebiH2tJcltQUpdryhnniM11UERMREckSAWeJhmRFLDfHTTASO657tfeFKR1nEKss9LH7W9dSUeCluSdET7IiNilBzHvM0GRvKEpxbg457iNxx+VK/yKuAymIiYiIZIkji5Ymqj65OW6icUtkhK1/htMeCFPmTIIfD7fLUFnop7k7mOrPZDypWFHopbU3NKitPxwjN8MqYEfT0KSIiEiWOFIRc4KY828wEhtUFRqLjr4IZeN4YnKgqkIfzT0hekNR/DmucX/28X2mn+d3tg5q64/EUg8QPPzx89nT0nvS+zFeqoiJiIhkiaMrUMkV8PvHOTwZisboDUUpyx9/RQySQSxITzBKge/47jFelYU+eoLRQUOxAyti59aVjXkz8cmkICYiIpIlApHBFbFkEAuGxzc02dGXmGs13jliSZWFPlp7w3T3R1IVqZOtsjBRvWvuPjI8mVjhP7OHJhXEREREskQglNxP8chkfRh/RSz59GH5cQaxqkIfsbjlQHtg0tbtqnKCWEtvMNUWCMfGtQ5aOiiIiYiIZIk+Z/mKZADL9Sb+zB9vEEtuHTReVUWJvS73tvZN2ibbQ1XEgpEYuTmZPR1eQUxERCRLBIabIxYeXxBr60uEmfGuI5aUrE71hiZvjliVs9F5c0+i79YmNh9PhtFMldm9ExERkTF5dV87DzobWw9cvgIgGB1fEDvUmRjem1mSe1x9GXjdZM0RK8v34nYZWpwgFo7FicWtlq8QERGRk+9dP345dezzJOosqeUrxlkR29/WR0WB97jnd9UU+ynNy6EjEJm0OWJul6E830tzTyJEJh9QyPVmdtRRRUxERCQLDAw8xiRWjz/eyfr72vqYW55/3H0xxnB6bUmiX5NUEQOoKvKlKmLJ3znTK2IKYiIiIllg4D6PSce7jtj+tgBzh7jfeJw2oxCAydxRaHZpHtsau4nFbWrfTS1fISIiIiddV3+EIr+HL1+3ONV2PJP1g5EYjV3BE6qIASyoLAASoW6yXHf6TJq6Q7y0uzUVPv2qiImIiMjJ1tUf4caza/noxfNTbclhuVB07Au6HmxPBKe55SdWEbvs1EoAbjy79oTuMx5XLq6myO/hN+vrU+FTFTERERE5qaKxOL2hKMW5g5eKyHEb3C4zrorYvraJCWJVRX72fec63nJq1QndZzz8OW6uWFzNS7vbjswRUxATERGRk6k7mJgPVXJUEDPGkJvjHtccsYaORBCrLT2xIJYuy2cV09wTSg2JarK+iIiInFSdgcRK+MV5xy6e6h9nEGvuCaWWgpiKls0qBmDdvnYgSypixph9xpgtxpiNxph1TluZMeYpY8xO599Sp90YY+40xuwyxmw2xpw14D43O+fvNMbcPKD9bOf+u5xrJ/EZCxERkamtqz+xSffRQ5MA/hzXiOuI7Wru4VtPbCcetwC09ISoKPDimszHHSfQkpoiAF7d1wFkV0XsLdbaM6y1K53XtwNPW2sXAU87rwGuARY5P7cCd0EiuAFfBc4DzgW+mgxvzjkfG3Dd1cf9G4mIiEwzR4LYsVWs3Bz3iCvr/35TI3f/bU9qa6DmnlBqu6CpqMDnYX5FPg2d/UB2T9ZfDdzvHN8P3DCg/QGbsAYoMcbMBN4KPGWtbbfWdgBPAVc77xVZa9dYay3wwIB7iYiIyChGqojlet0jTtZv6g4O+jcRxHwnoZeTJ1kVg+xZvsICfzbGrDfG3Oq0VVtrG53jw0C1czwLODjg2nqnbaT2+iHaj2GMudUYs84Ys66lpWWMXRcREcluIw9Numno7GfDgY4hrz08IIBBYmiyqmhqB7HkPDGXObLdU6Yaa+8ustaeRWLY8TZjzCUD33QqWXaiO3c0a+3d1tqV1tqVlZWVJ/vjREREpoSuwAgVsRw3O5p6eeePXiLx5zrhhZ2t/P1dL9HQkRjCa+oOEo3FaesLUVkwxYNYTSKI5ea4yfRp52MKYtbaBuffZuC3JOZ4NTnDijj/NjunNwCzB1xe67SN1F47RLuIiIiMQWd/hDyvG+8Q1Z+Bk9UDA4Yob39kM+v2d7CzuRdIVMTa+sJYC5VFU3eOGMBSZ2gy05+YhDEEMWNMvjGmMHkMXAW8DjwGJJ98vBl41Dl+DLjJeXpyFdDlDGE+CVxljCl1JulfBTzpvNdtjFnlPC1504B7iYiIyCi6+iNDVsMA+pw9FwHa+8Kp49lHrRPW0hOkuTsxPDnV54iV5nuZVZI7JYLYWLZErwZ+65T2PMAvrbV/Msa8CjxsjLkF2A+82zn/CeBaYBcQAD4CYK1tN8bcAbzqnPd1a227c/wJ4GdALvBH50dERETG4HBXkMphwtPWQ92p485AhNllieOZJYOrXk3dIVp6E/PFpnoQAzivroyDHZO3z+XxGjWIWWv3ACuGaG8Drhii3QK3DXOv+4D7hmhfBywbQ39FRETkKLuae7lgQfmQ7502o5CXdrcB0BE4UhFLrhsGiQntWxq6+L9/3YUxUFOSe3I7PAm+8Y5lRGInffr6CRtLRUxEREQy0F3P7mZHUw+Hu4MsqCoY+pwPnM3Le1r5xwc3DApiA+eLLa0pYsOBTnqCEf71xtOpnuJzxADyvFMj4kyNXoqIiMgx/vR6I5vquwBYOEwQK87L4Zx5ifHIjr5jg5jHZSjNSywE+/5z5/KulbOPvYmcNJm9uIaIiIgMa1/bkTlQi4YJYnBkWYsOZ5kLSEziXzm3lN9+4kLec04ifH3skrqT1FMZjipiIiIiU8hftjURjMa4aGFFaiFXr9vFnLK8Ya/xuF0U+T2pzcEBAqEY8yryWF5bzPLaYvZ++9qMX3MrGymIiYiITCEffWAdAA9//HwAKgq81Jbm4XGPPMhVlu+l/aiK2MB5VAph6aEgJiIiMgU98PI+AO69+RzqKvNHPb8kzzuoItYfjmX8htjTgeaIiYiITCEVBYmJ9Y9vTmz3fOqMQor8Qy/mOlBpXs6gpyb7wlHyfarHpJuCmIiIyBQycNkJSGzqPRal+V46+hJDk7G4JRiJqyKWARSFRUREpohILE4gHOOzV55CzFrc45jXVZbnpa0vRDxuCTjbHimIpZ+CmIiIyBTR7TwlWZzr4cMXjm+piSU1RQQjcbY1dqe2MJoqi55mMw1NioiITAHxuE0tV1GcN/qcsKNduLACgJd2t9LnDG/m+1QRSzdFYRERkQx3/0v7+OYftjO7LLEH5Fgm5x+tusjPwqoCXtjVxgULEqFMFbH00zcgIiKS4R7ZUE84Fmd3Sx8ARbnjD2IAFy+q4Ocv7+fH/sSf/3wFsbTTNyAiIpLhQtH4oNfHUxED+PTli9jV3Jta+iJXk/XTTnPEREREMlw4NjiIFR9nRaw038s/Xbog9VpzxNJPQUxERCTDhaNxivxHBrGKco9/QGt5bXHqWEOT6acgJiIikuEisTh1lQUAeFyG3DEu4jqUwgHDmlpHLP0UxERERDJcOBqnrjwPSEzUn6gNuvXUZPrpGxAREclw4Wic8gIfhT7Pcc8PG+ixT17I45sb8eeoHpNuCmIiIiIZLhyL4/W4mFWai89z4uHp9NoSTq8tmYCeyYlSEBMREclg8bglErN43S4+uGouNt0dkgmlICYiIpLBIvHE0hVeTyKISXbR4LCIiEgGCzuLuXrd+pOdjfStioiIZLBUEJuAuWGSefStioiIZLDkqvoKYtlJ36qIiEgG09BkdtO3KiIiksEiqohlNX2rIiIiGSzkVMRyVBHLSvpWRUREMlhyaHIiFnKVzKNvVUREJIPpqcnspm9VREQkg0ViibX0FcSyk75VERGRDBaOxQDNEctW+lZFREQymJavyG76VkVERDJYSHPEspq+VRERkQympyazm75VERGRDKbJ+tlN36qIiEgGC0c1WT+b6VsVERHJYNr0O7vpWxUREclgemoyu+lbFRERyWDh1F6TJs09kZNBQUxERGQU1lqe29FCLG4n/bPDMYvX48IYBbFsNOYgZoxxG2NeM8Y87ryuM8a8YozZZYz5lTHG67T7nNe7nPfnDbjHF532N40xbx3QfrXTtssYc/vE/XoiIiIn7oVdrdx831r+9ck3Jv2zw9G4hiWz2Hi+2c8A2we8/j/Ad621C4EO4Ban/Ragw2n/rnMexpglwHuBpcDVwI+ccOcGfghcAywB3uecKyIikhF2NPUCcM/zewlGYpP62eFYTBP1s9iYvlljTC1wHXCP89oAlwO/dk65H7jBOV7tvMZ5/wrn/NXAQ9bakLV2L7ALONf52WWt3WOtDQMPOeeKiIhkhB2HewCIxS0v7mqd1M9WRSy7jfWb/R7wv4C487oc6LTWRp3X9cAs53gWcBDAeb/LOT/VftQ1w7WLiIhkhDeaephfkQ/A4e7gpH52OBpXRSyLjfrNGmOuB5qttesnoT+j9eVWY8w6Y8y6lpaWdHdHRESmgXjcsrOphwsWlmMMNHeHJvXzIzGrJyaz2Fgi9oXA240x+0gMG14OfB8oMcZ4nHNqgQbnuAGYDeC8Xwy0DWw/6prh2o9hrb3bWrvSWruysrJyDF0XERE5MfUd/QTCMZbWFFOW56W5Z3KDWCgax+txT+pnyuQZNYhZa79ora211s4jMdn+r9baDwDPAH/vnHYz8Khz/JjzGuf9v1prrdP+XuepyjpgEbAWeBVY5DyF6XU+47EJ+e1ERERO0IH2AAB1FflUFflpnsShydcOdLCloVNDk1nsRL7ZLwCfM8bsIjEH7F6n/V6g3Gn/HHA7gLV2K/AwsA34E3CbtTbmzCP7JPAkiacyH3bOFRERSbuOQBiA8nwvVYW+QRWxvlCUd//4ZbY3dp+Uz37Hj16iqTuESyOTWcsz+ilHWGufBZ51jveQeOLx6HOCwLuGuf6bwDeHaH8CeGI8fREREZkMnU4QK87LoarQxxuHj4SuN5t6WLuvnVf3tbN4ZtGEfm5b75HA99qBzgm9t2QO1TpFRERG0BGIAFCS66WqyEdrbzi1wn5jZ2KYsrU3POGfu7m+K3X8vnNnj3CmTGXjqoiJiIhMNx2BMAU+D16Pi+oiP7G4pa0vRFWhn8aufgDa+yZ+Av+m+k5cBjb/y1sp8OnPdbZSRUxERGQEnYEIJXk5AFQV+oAjS1gccipibSehIrbpYCcLqwoUwrKcgpiIiMgIOgJhSvO8AFQW+gFocSbsJytiJyOIvXG4h6U1xRN+X8ksCmIiIiIjGFgRK8tPBLL2vkTwOtTlVMQmeGgyEI7S2BVkQWX+hN5XMo/qnSIiIiPoDISZU5YHQKkTyJJLWjR2OhWxvomriL3e0EWDc9/5lQUTdl/JTApiIiIiI+gIRFIBrMifg8skqmThaJyW3hBet4vOQIRILE7OBGzOff0PXkgd11WoIpbtNDQpIiIyjFjc0h2MUOLMEXO5DMW5OXQEwjR1B7EWTpmRqFp1TEBVLLERzREKYtlPQUxERGQYXf0RrCU1RwygNM9LZyBCp7O+2CnVhcDEDE9290dTx7NKcvHnaI/JbKcgJiIiMozkXLDkU5OQCGUdgTDdwUQQqytPVK0m4snJlt4j+1jO10T9aUFzxERERIaR3N7o6IrYoa4gPU4Qm+cMHyZDVDQWx3Occ8WS65N9+IJ5vG3FzOPut0wdqoiJiIgMo6MvEbYGV8S8dAXCqWHEZbOKyfO6ee1AJ52BMGfe8RSPbmw4rs9Lbij+ofPncvbcshPsvUwFCmIiIiLD6Ow/NoiV5uXQEYikhibL8rycW1fGC7taeXl3Gz3BKL/fdOi4Pq+5J1FVq3RW8JfspyAmIiIyjNTQZP6Aocl8L/2RWGqj7wK/hwsXVLCnpY/fvpaohL24q41gJDbuz2vuDuHPcVGobY2mDQUxERGRYXQEwnhcZlAwSs4XO9geoMDnwe0yXLiwAoA/b2ui0O+hPxLjlb3t4/68lt7EZuLGmIn5BSTjKYiJiIgMo8PZ3mhgMEoOU+5v76PInwhoi2cWctP5cwH46EXzKfJ7eGjtgXF/XnN3KLWxuEwPqn2KiIgMozMQpjg3Z1BbsiJ2oC3AzPgwMSYAACAASURBVOJcAIwxfO3tS7n+9BrOnFNCJBbnh8/uYndLLwvGsU1Rc08wtS6ZTA+qiImIiAyjoy8yaKI+QEVBomLVHYxSlHuknmGM4dy6MnLcLj50/lyshb9ubx7X5zX3qCI23SiIiYiIDKMjEE5tb5Q0uzQvdVzozzn6EgAqnbDWG4oO+f5QgpEYPcEoVUX+4+ipTFUKYiIiIsPo6j+y4XdSrtdNdVEiaBX6h57h43IZ/Dku+sfx5GSLs4aYlq6YXhTEREREhtERCFOa7z2mfa6zrVHRMBUxgDyvh0B47BWx5BpiGpqcXhTEREREhhCMxAhG4oO2N0qaW5YYnhyuIgaQm+MmEB57RSy5vZEqYtOLgpiIiMgQhtrwO6nKGZocaU/JPK+b/lGCWHcwwh82N9LQ2Z/a3qiqUHPEphMtXyEiIjKEI/tMHlsRS4azjr7wsNfneUeuiFlrufFHL7GzuZd3njWLmcV+3C5D+RBDoZK9FMRERESGkNreaIiK2OKZRQDUlOQOe33uKBWx3S297GzuBeCNxh7cxlBR4MXl0qr604mCmIiIyBBaehNDhcl1wwa6cGEFD926ipVzS4e9Ps/rSU3AH8qaPYktkK5aUs2zO1ooL/BqWHIa0hwxERGRITR1J0JUcqmKo62aXz7iHLHcUYYm1+xpY0aRn79bUk04Gmf9/g5N1J+GFMRERESG0NQdIs/rpsB3fINHeTkjD02u29fBuXVlnDojsaVRIBxjQWX+cX2WTF0KYiIiIkeJxuKp7YYGbvg9HiNN1o/HLc09QeaU5bGw6shelB+5sO64PkumLgUxERGRAdbv72DJV59kw/6OE9puKNdZ0PVzD29k7d72Qe/1hqPELRTn5pDn9XDhwnI+cuG8ESf/S3bSZH0REZEBnnmjmXA0TkNnP2fOKTnu++R53URilkc2NPDIhgb2fee61HtdgcTSGMW5iaUxfvHRVSfWaZmyFMREREQGeHXfkepV9QlUxPK87iHbtzd20+kEsaLc4bdIkulBQUxERMQRjsbZeLAz9Xq4JybHIveoIHagLcC2xi7+8cENnFKdmBdWrCA27SmIiYiIOF4/1EUoGmdWSS4Nnf0ntK7X0RWxS/7tmdTxjqbEQq4KYqLJ+iIiIo4DbQEA3n5GDQBVJ7CuV27O4FrHjCI///GuFcyvOLJERfEQ2yfJ9KKKmIiIiCO5rdH7zpmDx2U4e97wK+ePZmBFbO0/X0FJnhevx8VT25rY09oHqCImCmIiIiIpnf2JSfQ1JX4+f9WpJ3SvgUFs4DIYVc68M7fLkD/MhH6ZPjQ0KSIi4ugMRCj0e0bcumisjp6sn1Tp7F1ZnJtz3IvFSvZQEBMREXF0BsKUTNC8rTzv0INOyYqYhiUFFMRERERSOvsjlOR6J+Rew60jltzYW2uICSiIiYiIpHQGIhNWEfPnJIJYTfHgJTCSS2KoIiagyfoiIiIpXf0RZpflTci9inNzuP2a07h66YxB7cmKmIKYwBgqYsYYvzFmrTFmkzFmqzHma057nTHmFWPMLmPMr4wxXqfd57ze5bw/b8C9vui0v2mMeeuA9qudtl3GmNsn/tcUEREZXUcgTMkEBqR/vHQB8wasGwZQnu/FGCb0c2TqGsvQZAi43Fq7AjgDuNoYswr4P8B3rbULgQ7gFuf8W4AOp/27znkYY5YA7wWWAlcDPzLGuI0xbuCHwDXAEuB9zrkiIiKTJh63dPVP3NDkcDxuF7ddtpBrl888qZ8jU8OoQcwm9Dovc5wfC1wO/Nppvx+4wTle7bzGef8Kk3g+dzXwkLU2ZK3dC+wCznV+dllr91hrw8BDzrkiIiKTpicYxdrJGTL8H289lfMXlJ/0z5HMN6bJ+k7laiPQDDwF7AY6rbVR55R6YJZzPAs4COC83wWUD2w/6prh2ofqx63GmHXGmHUtLS1j6bqIiMiYdPYnVtUvzZuYpyZFxmJMQcxaG7PWngHUkqhgnXZSezV8P+621q601q6srKxMRxdERCRLdQQSq+qf7KFJkYHGtXyFtbYTeAY4HygxxiSfuqwFGpzjBmA2gPN+MdA2sP2oa4ZrFxERmTTJfSYVxGQyjeWpyUpjTIlznAv8HbCdRCD7e+e0m4FHnePHnNc47//VWmud9vc6T1XWAYuAtcCrwCLnKUwviQn9j03ELyciIjJWL+1uw2WgtnRilq8QGYuxrCM2E7jfebrRBTxsrX3cGLMNeMgY8w3gNeBe5/x7gZ8bY3YB7SSCFdbarcaYh4FtQBS4zVobAzDGfBJ4EnAD91lrt07YbygiIjKKg+0BHlyzn7etqKG6yD/6BSITxCSKVVPPypUr7bp169LdDRERmeI2HezkxrtewuUyPP6pizilujDdXZIsZIxZb61deXS7VtYXEZFp7aXdbUTjlqc/ewkLKgvS3R2ZZrTXpIiITGsHOwKU5uUohElaKIiJiMi0drA9wJwJ2l9SZLwUxEREZFo72B6YsI2+RcZLQUxERKatWNxS39GvICZpoyAmIiLTVmNXP9G41dCkpI2CmIiITFsH2/sBFMQkbRTERERk2vrbzhYA5lXkp7knMl0piImIyLS0q7mXe57fwzvPnMWsktx0d0emKQUxERGZlh7d2EAsbvnitYvT3RWZxhTERERkWnp5dxvLa0uoLPSluysyjSmIiYjItHKwPcDXf7+Ndfs7WDW/LN3dkWlOQUxERKaVRzY0cN+LewE4f355mnsj052CmIiITCutvSEArlxczXl1CmKSXp50d0BERGQyHersZ/HMIu65eWW6uyKiipiIiEwvh7qC1BT7090NEUBBTEREpplDnf3UaN0wyRAKYiIiMm30haJ09UeYWaKKmGQGBTEREZk2GrsSe0tqJX3JFApiIiIybTR0BgGYWawgJplBQUxERKaNQ52JiliNhiYlQyiIiYjItPHm4R7yvG5VxCRjKIiJiMi0sbm+k2U1xbhdJt1dEQEUxEREZJqIxuJsPdTN8tridHdFJEVBTEREss6hzn6e3HoYgJ5ghA0HOtjZ3EsoGud0BTHJIApiIiKSdb73lx18/Ofr2XSwk3tf2MuNd73EE1saATi9tiTNvRM5QntNiohIVrHW8tyOFgD+9ck3yM1xYy386NndzCvPY155Xpp7KHKEgpiIiGSVNw730NQd4tTqQl7c1UahL/GnLha3fHDVXIzRRH3JHBqaFBGRrPKn1xNzw7503WIAekJRFlUVUJqXw9+fXZvOrokcQxUxERHJGgfaAvzX33Zz5eJqLl5UQVWhj+aeEP983WIuWVSpZSsk46giJiIiWeOBl/cRt/D11UsxxnDRwgoAlswsUgiTjKSKmIiIZI09rX3Mr8inxtnU+2OXzGdueT5Vhb4090xkaApiIiKSNQ60B1hQmZ96vXhmEYtnFqWxRyIj09CkiIhkhXjccqA9wNzy/NFPFskQCmIiIpIVmnqChKNx5pRpnTCZOhTEREQkK+xvCwAwVwu2yhSiICYiIlnhQDKIlWloUqYOBTEREckK+9v7cLsMNSX+dHdFZMwUxEREJCs0dgaZUeTH49afNpk69H+tIiKSFQ53B6ku0nphMrUoiImISFY43B1kRrGGJWVqGTWIGWNmG2OeMcZsM8ZsNcZ8xmkvM8Y8ZYzZ6fxb6rQbY8ydxphdxpjNxpizBtzrZuf8ncaYmwe0n22M2eJcc6cxRvtQiIjIuDR1BakuUhCTqWUsFbEo8Hlr7RJgFXCbMWYJcDvwtLV2EfC08xrgGmCR83MrcBckghvwVeA84Fzgq8nw5pzzsQHXXX3iv5qIiEwXPcEIfeEYMxTEZIoZNYhZaxuttRuc4x5gOzALWA3c75x2P3CDc7waeMAmrAFKjDEzgbcCT1lr2621HcBTwNXOe0XW2jXWWgs8MOBeIiIio2rqDgJoaFKmnHHNETPGzAPOBF4Bqq21jc5bh4Fq53gWcHDAZfVO20jt9UO0i4iIjMnhrhCAhiZlyhlzEDPGFAC/Af4/a233wPecSpad4L4N1YdbjTHrjDHrWlpaTvbHiYjIJNpS38XOpp7juvawUxFTEJOpZkxBzBiTQyKE/cJa+4jT3OQMK+L82+y0NwCzB1xe67SN1F47RPsxrLV3W2tXWmtXVlZWjqXrIiIyRfzPX2/ii49sAaA3FKUrEBnztamhSQUxmWLG8tSkAe4Ftltr/3PAW48ByScfbwYeHdB+k/P05CqgyxnCfBK4yhhT6kzSvwp40nmv2xizyvmsmwbcS0REpgFrLfva+thc38Well6WffVJPvyztcTjli//bgu3/XIDwUhsyGt3t/Tymw31VBb6yPW6J7nnIifGM4ZzLgQ+BGwxxmx02v4Z+A7wsDHmFmA/8G7nvSeAa4FdQAD4CIC1tt0YcwfwqnPe16217c7xJ4CfAbnAH50fERHJQv/6pzc4dUYhq884Mh24pSdEMBIH4N3/tQaA1w508o0/bOfBNQcAcBnDD9535qB7/XzNfv7lsa0U+Dzc9cGzEJlqRg1i1toXgOHW9bpiiPMtcNsw97oPuG+I9nXAstH6IiIiU1tXf4QfP7ebsnwvb106A39OooK1vz2QOqe1N8S1y2fwxJbD3PfiXq5bPpOyfC//b/1BwtE4Xk9iMKepO8i3/rCdVfPL+O57zqCqUMOSMvVoZX0RETmpttR3ce8Le9nV3MPave3ELbT2hvn1+iMPzB9oSwQxn8dFRYGXb7/jdLzOnpG3XFzH+QvKCUbibD3Ulbrmx8/tJha3fOsdyxXCZMoay9CkiIjIcQlH47z37pfpC8f4aWku59aV4c9xUVXo57kdLXxw1VwgURFzGfjh+88i1+umOC+HVQvK6QqEOXN2CS0lieUpvvy711l9Rg23XrKA595s4eJFFcwtz0/nryhyQhTERETkpHn9UBd94Rgfu7iO+17cxyMbGrh4UQVet4uDA4YjD7YHmFmcy5VLqlNtP/rAWcStxRhDlfM05NZD3Ww91E2e18Oe1j7ef96cSf+dRCaSgpiIiJw06/Ylnsm69ZIFXLm4mqffaOaqJdU8vrmRV/a2Y52gtau5l7nleYOuLfAN/hP12StPYVN9J4c6+/ny714H4IIFFZPzi4icJApiIiJy0qzd20FdRT6VhT4qC32cN78cgI0HO+kNRekMRGjsCrKloYvbrzltxHt95spFAOxr7eOyf38WgNNmFJ7U/oucbApiIiIy4dbsaeM//vwm6/d3cONZtce8P7ssUf062BHg5y/vJzfHzXvPmX3MeUOZV5HPy1+8nJ5gFJdruIf6RaYGBTEREZlQwUiMD/90LeX5Pm69ZAEfGGIe1+zSRBDb0dTL45sbWX1GDSV53jF/xsziXGYWT1iXRdJGQUxERCbU1kPdBCNxvvq2JVy1dMaQ58wuywXg/pf20R+J8fYzaiaziyIZQ+uIiYjIhNp0sBOAFbNLhj2n0J9DaV4OWxq6qCr0cV5d+WR1TySjKIiJiMiE2lzfSXWRj+pRNuD+hwvrWDariE9ctgC35nrJNKWhSRERmVCb6rtYUTt8NSzpU1cs4lNXLJqEHolkLlXERERkwrT0hNjb2scZc0YPYiKiipiIiJyg53a0sLOph7etqGHNnjYALtRCqyJjoiAmIiLHbX9bHzfftxaAX6+vZ1F1IUV+D8tmaW0JkbHQ0KSIiBy3P2xpBOBb71jOm009/H7TIVbNL9fke5ExUkVMRESO2x82N3LmnBLef94caktzuevZ3dqIW2QcFMRERGREfaEon/jFBqLxOHesXkae10NloY/XG7rYeqib/339EgAuOaWSS06pTHNvRaYWBTERERnR6w1dPLejBYDv/WUnj206xOKZReTmuCjNy+E9Y9wjUkSOpSAmIiIj2t8eAKCiwMdjmw4BsL2xG4AvX7eYAp/+lIgcL/1/j4iIjGh/Wx8el+E959Tyw2d2s2RmEY984gLa+sLUFI+8er6IjExPTYqIyIj2tQWoLc3l0lOqALhySTX+HDezSnIxRk9HipwIVcRERGREB9oCzC3PZ+XcUr5y/RJuOHNWurskkjVUERMRkWFZa9nX1sfc8jxcLsM/XFRHWb433d0SyRoKYiIiMqzmnhA9wShzy/PT3RWRrKQgJiIiQ2rpCfHOH72Ey8DKuaXp7o5IVtIcMRERSWns6uf7f9lJVaGPrv4Ih7r6+dWt57Nidkm6uyaSlRTERESmsR1NPXzmoY388P1n4s9x89H717GruZdoPE7cwlVLqjm3rizd3RTJWgpiIiLT2C9fOcD2xm7+8cH17GtLLNz6XzedjQG+/vg2Pnn5wvR2UCTLKYiJiEwz0VicLQ1dLK0p5g9bGsnzutnR1MsFC8r5t3etYFZJLgCXnVqV5p6KZD8FMRGRaWJvax+PbKhnS0MXz77ZQoHPQ28oyvffewYFPg8XL6rE69EzXCKTSUFMRGQa2NPSy413vURHIALArZfMpycYobY0j2uXzyTHrQAmkg4KYiIi08Bjmw7R2R/hL5+7hMoCP8V5OenukoigICYi00A4Gp/2Q27r93dwanUhC6sK090VERlgev8vk4hkvT+93shZdzzF+v0d6e5K2sTilo0HOjlLi7KKZBwFMRHJCvG4PaYtHI3znT++QW8oyr88tpXYEOeMpq03hLXjvy6T7GzuoScU5ew5CmIimUZDkyKS0V470MGGA53cclEdAN3BCE9vbyLP6+HM2SW8vKeNbYe6eeS1Bv74mYuJxy2/evUgTT1BHtt4iO5glHeeNYtHNjTwvp+soTcY5c73ncnCqgKCkRiv7mvnwgUVuFxm0Oe29obY0tDFLT97la+vXsYHV81Nx69/wnpDUb7zxzcAOGeeFmYVyTQKYiKSsay1fOXRrWxp6GL1GTVUFPj4zz/v4Gcv7QPAn+MiGImnzr/n+b08vb2Jnc295LgN1y6fyeozarj8tGrqyvP5z7/sIMfl4p8eXE9/JEZPMEpXf4Q7Vi/lQ+fPA+Bge4BN9Z18+r9fI1lAe3DNfj5w3hyMMWSi/nCMhs4AC6sKsdYSjMTJ9bqJxS23/WIDL+xq5Rs3LGNOeV66uyoiR1EQE5GMtX5/B1saugB4cVcr1y6fyWObDvHWpdWcXlvCk1sP8/FLFtAbivD/1tXz4+d24/W4+OXHzuOceWWDlmT41BWL+MhFdfx2Qz3/+9GtnDmnhPPqytl6qIs7/7qLX7xygFOqC3ls0yEAltYUsXJuKTluF/e8sJeth7pZNqs4Lf8dhmOtZcOBTr74yGZ2NPVy7rwyWnpDHO4K8pW3LeGpbU08t6OFb75jGR84b2pW9ESynYKYiGQcay0Nnf185dGtlOTlEI9bvvy71/n1+nra+8K86+zZXLmkmtvecmT7nYoCH199bCv//q4VrJpfPuR9C3wePrhqLmfMLmVpTREul+Ev25r46APriMUtbxzu4eqlM1heW8y7V86mstBHZyDMPS/s5bkdLRkVxKxN/Df5xSsHKMnL4SMXzmPdvg5qS3Px57j54iNb8HpcfH31UoUwkQymICYiGePPWw/z7I4W9rb08fKeNlwG7vvwOdz34j7+tqOFLQ1dnFpdyCWnVB5z7RWLq7licfWon2GMYXntkUB15ZJqnvj0xSyqLmB7YzdLZhbhGVBJK8nzMrPYz+7m3nH/Pjubeqjv6AcDdz69k5riXL5z43IK/Se2hlcwEuPfn3yTX7xygA9fMI/PX3XKoHv2h2Nsru/klOpCSvO9J/RZInJyKYiJSMb4yfN7eHVfBzluw+f/7hQuWFjB2XNLqSr0c15dGR+9uA6fxz3hn7ukpgiA02tLhnx/YVUBO8cRxGJxy4Nr9vP1x7elntQszs1hc30XFsuPPnA2AO19YfpCUVwuw8YDneT53Gxv7GZfax/vOLOW8xccqeyt29dOa2+Iq5bM4J8eXM8zb7bw/vPm8JXrlxzzoEGu1815w1QFRSSzKIiJSEaw1rK7pY+3nFrJl65bwsKqgtR7S2qKUmEpHRZVFfLfaw8Qj9tjQs/RorE47//JK6zd185lp1byqcsXEYrEOG1mEf/1t93c8/xedjX3Mqsklw/e8wrbGruPuUeBz8PD6+p598pazppTytq97TzyWgMAy2YV8XpDN197+1JuvmDeyfh1RWQSjRrEjDH3AdcDzdbaZU5bGfArYB6wD3i3tbbDJB4p+j5wLRAAPmyt3eBcczPwZee237DW3u+0nw38DMgFngA+Y6f6oj0ZylrLgfYA1UV+9rb2UVeRjz9n4qsLIsejpSdEe1+YS06pHBTCMsGi6gL6IzGu+8ELfPGa07hoYQXP7WzhjNoSSvO97G7p5dk3W9iwv4NY3LJ2Xztfe/tSbjp/7qAnLd93zhz+67k9XPmfzzGrJJeGzn5uPKuW02uLOWN2CYe7g+R7PaycV8rXfr+NRzc28PC6erxuF598y0Jae0M8v7OV//nWU7npfM37EskGY6mI/Qz4v8ADA9puB5621n7HGHO78/oLwDXAIufnPOAu4DwnuH0VWAlYYL0x5jFrbYdzzseAV0gEsauBP574ryZJ+1r7qCz08aF7X2HDgU5K83LoCES4+fy5fG31MiAx7DG3PJ/KQl+aeyvDaeoO8vT2Zt537uyMXUbhRCQrQ6fNSF/laziLnGC4vbGbz/5qI7NKc9lc38WK2mLqKvL53cbEk5ZVhT6ae0KcP7/8mBAGMK8in/efN4ddzb2s3dtOvtfN11YvpcCX+J/iFQPO/fY7l/PNG5ZR39GPP8dFVZF/Un5XEZlcowYxa+3fjDHzjmpeDVzmHN8PPEsiiK0GHnAqWmuMMSXGmJnOuU9Za9sBjDFPAVcbY54Fiqy1a5z2B4AbUBCbMH/eephbf76eOWV5HGgP8OnLF7J2XzsdfREeXlfPxy9dgNtleO/da7j+9Jl8771npq7d2dRDeYGPMk32HdWmg524XeakPlV3z/N7+MnzezlzTgmLZ2ZeWDlR2xt7AFiSgb/bKTMS+zNeekola/a00d4X5mMX1/GT5/fyxuEe/umyBXxw1VxmleSy6WAnc8ryhg3L33rHcgC+88c3KM/3pkLYUFwuo7W/RLLc8c4Rq7bWNjrHh4Hko0qzgIMDzqt32kZqrx+ifUjGmFuBWwHmzJlznF2fHl470MGfth7m5y/vx5/j4kB7gHPryvjcVacCsO1QN9fe+TwXfOev1BT7icYtf97WRH84Rq7Xzd7WPq7/wQssrCrgsU9ehHuUeTHT3eofvgjAfR9eyeWnDX5yb2dTD6FoPBXSorE4m+o78Xnc4wpuL+5qA+CZN5spL/Dyyp52rl0+k7i1vHagk4PtAXY09/Dcmy387CPnMqN46lRQ+sMxfr/pELWluRTnndgThSdDkT+H17/2Vgp8Htr7whT5PXjcLq5aOoPZpXmD/luvmD30hP+j3X7NaSeruyIyhZzwZH1rrTXGTMqcLmvt3cDdACtXrtQ8siHE4pYv/XYLD716EJeBq5bM4AvXnMZ9L+zlfeceCa9Laor47ntW8Mqedh569SAzi/00dgX5wm82s/VQF4e7gsStZeuhbh5cs1+TgkfQ0NmfOv70f2/k95+6iLqKfCAxL+8fH1xPV3+EF2+/nAfXHOB7T+2gJxTF53Hxu9suHLa61RuKsqOphzcae7jz6Z0c7g4C8MtXDnD33/bQGYhwz/N7aOgM0tobGnTt45sP8dGL5w9qi8big5ZlAGjuCXLTvWtZUFXAV65fQvUkDn/1h2P8aWsjPcEof3r9MNsPd3P3h1ZO2uePV7JyNbBCrC2DROREHW8QazLGzLTWNjpDj81OewMwe8B5tU5bA0eGMpPtzzrttUOcL8OIxS1Pb2/CAt96YjsfuWAe1UV+FlYVsLCqgCe2NPLQqwe59ZL53HbZwlR14Y4blh1zr3ecWcsNZ8zi/AXlnDm7lI/8bC2PbTrEWXNKOL22hOtPn8lPX9zHvz/5Jtcsn0FV4dSpsEymV/e2A3DPTSv5H7/exB2Pb+O+D58DwMt72tjd0gfAHY9v4xevHOCihRXceFYt33xiO5/91Uae+PTFQz6J94XfbOYPmxtxGVJb7Vy8qILnd7ZyxuwS3nJBFb/b2MC5daW8fUUNp80oIt/n4eb71vIff97BX99oJhiJ8Z5zZvPMGy08ue0wZ84u4caza7l66Qyae0L88pUD7GzuZV9bH4FQlPs+fM6Y5591BsL4PG5++tJelsws4rJTq8b832xzfSe3/XIDB9sTIdbrcfEf71rB3y0ZfR0wEZFscrxB7DHgZuA7zr+PDmj/pDHmIRKT9bucsPYk8C1jTKlz3lXAF6217caYbmPMKhKT9W8CfnCcfZoWfrO+nv/1m80A+Dwu/uX321LvleV78XlczK/I5/arTxv1MXtILG65+ozEaPBTn70UC4OGIesq8rn6e8/z3ad28u13Lh/xXm1OVaa8YHpN+F+7r51Cn4e3nFbF6hU1PLyunkgsTo7bxYNr9lOSl0Nxbg4PrjnA/Ip8fvzBs8n3ebBYPvurTfxuYwP5Pg/VRX7OcIa1XjvQwR82N7KithiM4cMXzOUv25v59juX8/LuNq5cXI3bZfjMlYuO6c9bl87gu3/ZwZb6LsoLvHzhN1so9Ht437lzWLevnS/99nW+9NvXU+e/e2Utp1QX8o0/bOfmn77KO86s4frTawhH46zZ00aBz8Mzb7Zw8aIKLlxYQVd/hNbeEO/44YsEo3HC0Thul+HU6kIK/R7a+sLked3MLPZTXeTnysXVVBb62N8W4EB7HwbDnX/dSZE/h5/fci6zShIrwdeU5E7adyYikinGsnzFf5OoZlUYY+pJPP34HeBhY8wtwH7g3c7pT5BYumIXieUrPgLgBK47gFed876enLgPfIIjy1f8EU3UH9EvXtnPvPI8rlxczS0X17G7uY8Cv4cdTT38cUsjz7zZwr/eePqYe+VPPQAAET5JREFUQtjRhrpmfmUBN5xZw2MbG/jydYvJH2Zi8Q+e3smdf91JWb6Xxz91cVY/fbmnpRdjDPPK83h43UEefa2BVfPLcbsMq+aXc//L+9lc30VtaS5/3trEP1xUx/Wnz2RnUy//f3t3Hh5Fnedx/P3LDbnIDQESjnDJFS5BUGHQ8cBbd8XRcRxWXdH1cXZcZ9Vxd9ZzBmdcD+Z5RnFcUR+PUXFcFWUYkVU88ACFcCcQ5AiHSYCQixyd3/5RldCEJARIp5r05/U8/XR1dXVVfbqh+5v6/epX54/o2fQeXjQyk0cXbeLON1YDTmG9/N5zSOoeye8WbSQ1LopXbp7U1CR2xRjn4PH5w3u2uX/XTsxib/khbp06kLT4aL4sLGVsdhIJMZFYa1lTVMbHm4rplRhDYUkls6b0I6l7FMUVNSxas4dfvr6aZ5dtZce+Kipq6pvWO2/ZFgalx7H5hwoaLCTERHDusHTGZiXx3Y4D7KuopbK2nl6JMVTV+thaUsmy/BJeWr7tqH1Mi4/m9Vsm0SdJHdFFJLSZU3XIrvHjx9sVK1Z4vRsnbHdZNa9/s4OUuGjqfQ0888kWYiLD+dN1Yxme2XIH7m++38c/PrO8zYEcdx2opldiTIcOb7By2z6ueno5V4zpzYUjenLusAyMgdkvr6S0opYrx/bh12+v4UdD0lheWMpZg9L488+Ct6/PiSgsriCxWyRvrNjJHxZvpMFCSmwUpZW1TBqQzH9fnUvvHt0orahh3MNL+PcLhlBb38CTSwr45FfTyE6JbXG97+ft5qMNe5k+LJ3bX/2O0X0SOXionq0llTx0+Qiun9S5Y0U1NFjeXb2L37yzltP7J/Pzyf2pqKlnUEYc73xXxLpdB8nJiKOqxseFI3oyOSe1zfUdqvOxfEspFTX19EuJJSulO2VVdXSLCu/SxbqISHPGmJXW2qN+HFWIeeT+d9fxwhffNz2e2D+Z7e4RiOGZCXy3/QCTBqTw5MxckmKjOFTnY8bcTzlU6+Pvd05t85T3jmatZcbcz9jgjvM0JSeFK8b04a43VxMeZvA1WPqnxvL+HWfy2OJ8Xv5qG2vuPy8gl6LxQkODJee+D5r6aV08qhe5fXuwYXc5Y7J6cO3pWUccTTz/iWVU1tZTXF7DWYPSeO6G9hWl1z33JZ9vLmV0n0RS46J55vpxRDbrXN9Z2jOCvIiItF9rhZguceSRZfnFTB2cxl3nDWHtrjKuHt+XnfurmLNoIxv3lHN5bm/e/q6I2175lkkDUij4oZzC4kpevnFipxZh4PQje/u2ydTUNfBe3i4eeG8dn28uJTulO6/dPInt+6oYnplA96gITu+fzPOfb2VtURnjsrvGGWXfl1Y2FWG3nD2Au4/R/+6hy0dw80srSI6NYs5Vbfer8zfnylHk7Sxjxsieng/YqiJMRKRzqBALoDpfA5U19fToHkVVrdPcNCA1js83l1BYUsn1Z2Qzsk8iI/s4TZHZKbE8/dNxTa8f2iueB95bz/JCZ/yoO6bncOagtpuCAiUmMpyYyHB+OimbcdlJbNh9kCk5qWQkxBzRyXpCP+d8jK+37u8yhdjaXc6RwA/uOKtd1zs8vX8yS/9tKnB8Jy70Te5O32T1mRIRCSUqxALoN++sY8HKHdw6dSCbiyv4YM0eMhKi2XvQObtw6uC0Nl8/a0p/Lh6ViTGwavsBfjS0/cMDBNKwXgmtjn2VEhfNwLRYPly/h+smZdE9MpwwY07pIyxri8qICg9jUEb7r38YameOiojIiVEhFiDbSit5Y8UOMnvEMHfpZgAGpsVSXevjPy4ahjGmadDPtjR2aD73FBpf6dqJ2Ty0cD3jH1pCra+BCf2SeHP2ZK9367hZd0DbBSt3MrRXvGf9tUREpOtSIRYgf1y6mYgww1uzJzN3aQGfFZTwzu1nEhsV7nn/n0C78cz+nN4vmYV5u5i3rJC8nWVe79Jx21ZayZ1vrGbltv0AzBjZ9pARIiIiJ0KFWCustfxqgTNw6iNXjDjqDMDC4gqiIsKOGgepsqaewuJK3v6uiBvO6Ed6QgwPXz4y5M5Ca+z7FhFueOaTQqy1AS9AG7dRVl1HQkzEcW+vztfAXW+u5ostpRSX15AQE8FDlw0ns0c3xmYlHXsFIiIix0mFWCs+zi9mwUrneuQrt+3nghE9Gdoznvy95XxaUELezjKiIsK488eDGdU7kQFpccz/fCvzlhUCzuCcs6cdvtZfKBVh/hK7ReJrsFTU1BMfE7iLOa/ZWcY1zy5nbHYSnxaUMCA1lvmzJrQ6ftehOh9PfVTAWYNSmTzQOQHilS+38c6qXVwyOpOhPeO5LDdTA46KiEhAqRBrga/B8tv3N9AvpTt3njeEv3ztXGTZ12AJDzOM6duDey4cymcFJcxZtBFwLghcVVvPucMymDYkjXHZSbo2I04hBlBWXRfQQuy1b7ZTXefj04ISLs/NZPG6vTy1pIDHZ+YesVxZdR2z5n9NVa2PjXvKefrjLcy5ciTTh6bzxJICpuSkMPea3C7ffCwiIsFBhVgLwsMMD142Amstk3NSuXR0JmXVdRSX15CREN1UUNxy9gC276tia0kl97y1BoBHrxqpM+b8+BdifdrZumet5eChehJiIqj1NbQ4MGxtfQOrdhzA12BZtHY37+ft5uJRmfzmktNIjYvm4YXrmf/F92wtraSsqo7BGfHERIYRFxPBt9sPkBATwa9nDGVZfgkPvLeeV7/eTk29jwcuHaEiTEREOo0KsVacMTDliMeJ3SKbiopGxhiyU2LJTonl3duncPBQnYqwZhL8CrH2mrNoI/OWFZIeH01VrY9FvzjriPG1dh2o5qYXV7DeHenfGLAWrhzbm1T3/f/nqQNYU1RGZHgYaXHRbNhzkJLyGiprfYzN6sFfb5sCwKWje3Ptn79k+74qfnflSHLS2z9EhYiIyMlSIdZB0hNiSE9QU2RzjcXrwXYWYsvyi5m3rJApOSkkdovkow0/8MSSfB6/Opc6XwPL8ot57O/57NxXxW+vcEatP394BrsOHGoaGBcgPT6G128544h1f7t9Pze9uILZUwc2zeuZGMPSu6adZEoREZETo0JMAirxGEfE6n0N5BWVcbC6jpz0ON5YsYPUuGie//kEoiPC+d2iDcz7pJD46AiyU2J5cOF6osLDePZn45g25PAAt+05Ejk2K4kV950bsidOiIhI8FEhJgF1rEJs7tLNzP2oAICoiDAiwwwXjerV1C/sl+cO5lCtjxeXb6NbZDgjeifw8o0T6dE96oT2R0WYiIgEEw0VLgEVFx1BeJhptRD7ZNMPjOidwCs3TSTcGCprfUwfevgqAjGR4fzXJcMZ1SeR6jofMydknXARJiIiEmxUiElAGWNIiIkgf28FeTsPHPFcWXUda4rKmD40gyk5qdw2bSCJ3SKPurB5WJjhgUuHc2ZOKpflZnbm7ouIiASUCjEJuMRukXy4fi9Xz1vO/srapvnLt5TQYGGKe4bq7dNz+PLec4iLPrrFfExWEi/fNJGEAI5FJiIi0tnUR0wCLtYtrA7VNXDl018QGx3OxaMy+cPiTSR1jyQ3qwfgHD3rFnX0mGEiIiJdlQoxCbjC4krAOTK2tcSZXlt0kLMHp/HgpcNbHLBVREQkFKgQk4CrrvMB8L//MoWy6joWrt7F4vV7eHJmLsmx6ngvIiKhS4WYBNwLsyawcU85/VOdC3Dn9u3BvTOGEa6hJEREJMSpEJOAmzYk/YjBVwEVYSIiIuisSRERERHPqBATERER8YgKMRERERGPqBATERER8YgKMRERERGPqBATERER8YgKMRERERGPqBATERER8YgKMRERERGPqBATERER8YgKMRERERGPqBATERER8YgKMRERERGPGGut1/twQowxxcA2r/fDTypQ4vVOdLJQzAzKHYpCNXso5g61zKGWt5EXubOttWnNZ56yhViwMcassNaO93o/OlMoZgbl9no/vBCq2UMxd6hlDrW8jYIpt5omRURERDyiQkxERETEIyrEOs6zXu+AB0IxMyh3KArV7KGYO9Qyh1reRkGTW33ERERERDyiI2IiIiIiHgnZQswY09cY83/GmPXGmHXGmF+485ONMR8aYwrc+yR3/nXGmDxjzBpjzBfGmNF+67rAGLPJGLPZGHNPG9u8wV1vgTHmBr/5jxhjdhhjKkIo89+MMavd/XjGGBMeIrk/dl+/yr2ld/Xcxph4v7yrjDElxpgnA5U7mLK782e6615njHm0i2X+mzHmgDFmYbP5t7uvtcaY1EBldrfVkbmfN8b8YIxZe4xttvj+dEbuIMv7P8b5Hs8zxiwwxsQFInMQ5n7BGLPVHP5Oyz2pcNbakLwBvYCx7nQ8kA+cBvweuMedfw/wqDs9GUhypy8EvnKnw4EtwAAgClgNnNbC9pKBQvc+yZ1uXN8kd38qQihzgntvgLeAa0Ik98fA+FD7N95suZXA2aGQHUgBtgNp7nIvAud0hczusucAlwALm80fA/QDvgdST4XP2n18NjAWWNvG9lp9fzojd5DlTfBb7vHG7YdA7heAf+iwbIH8D3Iq3YB3gB8Dm4Befh/8phaWTQKK3OkzgMV+z90L3NvCa34CzPN7PA/4SbNlAlqIBWnmSOA9YGYo5KYTC7Fgyu03bzCwA7d/alfPDkwAPvKbfz3wp66Q2e/5aTQrxPye+54AF2IdldtvXj/a/oE+5vvTmbmDJK8BngbuDoXPmQ4uxEK2adKfMaYfzl8yXwEZ1trd7lN7gIwWXnIjsMid7o3zw9JopzuvufYu1ymCIbMxZjHwA1AOLDjeDCciGHID893D2f9pjDHHm+FEBElugGuA1637bdYZPM6+GRhijOlnjIkALgf6nlCQ49BJmYPOSeZur6B5f4IhrzFmvru9ocAfj3PdJyQYcgOPuE2fTxhjoo9z3UcI+ULMbdN+C/hXa+1B/+fcHwvbbPkf4Xyod3faTnawYMlsrT0f5y+YaGB6R667JUGS+zpr7UjgLPd2fQeuu0VBkrvRNcBrAVhvi7zObq3dD9wKvA58inOkxNcR626N15m9Emq5gyWvtXYWkAlsAGZ25LpbEiS578UpPCfgdEc4qXWHdCFmjInE+UBfsdb+1Z291xjTy32+F84Rm8blRwHPAZdZa0vd2UUc+RduH6DIGDPRryPfpa0tF4hcbQm2zNbaQziHmC/rqIwtCZbc1trG+3LgVeD0jk16pGDJ7a57NBBhrV3ZoSFbESzZrbXvWWsnWmvPwGlGye/orH4ZOjNz0Oig3K2tu69f7tkEwXd5sOW11vqAvwBXnVyytgVLbmvtbuuoAeZzst/jHdlmeyrdcNq0XwKebDb/DxzZ8e/37nQWTjPD5GbLR+B0zO3P4Q59w1vYXjKwFaetOsmdTm62TKA76wdFZiCOw236EThHC24PgdwRuP1GcPrGLQBmd/Xcfs/PAR4I5L/xYMwOpLv3ScAqYHBXyOy3/DQ87CPWUbn9XtePtvsOHfP9CWTuYMnr7keO3z49BjwWCp8zh3+/DPAkMOeksgXqTQv2G3AmziHMPPfLcRUwA+csp4+AAmAJh79MnwP2+y27wm9dM3D+yt0C3NfGNv/J/YexGZjlN//3OO3PDe79/V05M04b/jfufqzF6VcQ0dU/ayAW54zBPGAd8BQQ3tVz+z1XCAwNVN5gzY7TFLvevQXy7GAvMn8KFAPVON9d57vz73Af1wO7gOdOkdyvAbuBOnf/b2xlmy2+P52RO1jy4rSofQ6swfkefwW/syi7am53/lK/3C8DcSeTTSPri4iIiHgkpPuIiYiIiHhJhZiIiIiIR1SIiYiIiHhEhZiIiIiIR1SIiYiIiHhEhZiIiIiIR1SIiYiIiHhEhZiIiIiIR/4fUlCQWq12ljUAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "KPzobcXnqlyq" + }, + "source": [ + "from sklearn.preprocessing import MinMaxScaler\n", + "scaler=MinMaxScaler(feature_range=(0,1))\n", + "target_col=scaler.fit_transform(np.array(target_col).reshape(-1,1))" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "3ez8_5IvogUP" + }, + "source": [ + "##splitting dataset into train and test split\n", + "training_size=int(len(target_col)*0.80)\n", + "test_size=len(target_col)-training_size\n", + "train_data,test_data=target_col[0:training_size,:],target_col[training_size:len(target_col),:1]" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "FMon8VWLr6jO" + }, + "source": [ + "# convert an array of values into a dataset matrix\n", + "def create_dataset(dataset, time_step=1):\n", + "\tdataX, dataY = [], []\n", + "\tfor i in range(len(dataset)-time_step-1):\n", + "\t\ta = dataset[i:(i+time_step), 0] ###i=0, 0,1,2,3-----99 100 \n", + "\t\tdataX.append(a)\n", + "\t\tdataY.append(dataset[i + time_step, 0])\n", + "\treturn np.array(dataX), np.array(dataY)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "583kizUCsA7u" + }, + "source": [ + "# reshape into X=t,t+1,t+2,t+3 and Y=t+4\n", + "time_step=1\n", + "X_train, y_train = create_dataset(train_data, time_step)\n", + "X_test, ytest = create_dataset(test_data, time_step)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "ePpTIUHOkAt3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9700ea2a-1782-4b5b-fc1a-e87a0a881a7e" + }, + "source": [ + "print(X_train.shape), print(y_train.shape)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "(398, 1)\n", + "(398,)\n" + ], + "name": "stdout" + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(None, None)" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 11 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "CNaEHZOwkIj3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "33081e98-08c2-44e9-f78b-09776dd0fc6f" + }, + "source": [ + "print(X_test.shape), print(ytest.shape)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "(99, 1)\n", + "(99,)\n" + ], + "name": "stdout" + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(None, None)" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 12 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "fJ-XaSzikOqB" + }, + "source": [ + "# reshape input to be [samples, time steps, features] which is required for LSTM\n", + "X_train =X_train.reshape(X_train.shape[0],X_train.shape[1] , 1)\n", + "X_test = X_test.reshape(X_test.shape[0],X_test.shape[1] , 1)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "NVGFeeABkYCl" + }, + "source": [ + "model=keras.Sequential()\n", + "model.add(LSTM(500,return_sequences=True,input_shape=(X_train.shape[1], X_train.shape[2])))\n", + "model.add(LSTM(500,return_sequences=True))\n", + "model.add(LSTM(500,return_sequences=False))\n", + "model.add(Dropout(0.2))\n", + "model.add(Activation('sigmoid'))\n", + "model.add(Dense(1))\n", + "#opt = keras.optimizers.Adam(learning_rate=0.01)\n", + "#model.compile(loss='categorical_crossentropy', optimizer=opt, metrics=['mse'])\n", + "model.compile(loss='mean_squared_error',optimizer='adam', metrics=['mae'])" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "xF8-LcpsqMt6", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "5ef342e9-a93f-4a70-9316-72d3a0938303" + }, + "source": [ + "model.summary()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Model: \"sequential\"\n", + "_________________________________________________________________\n", + "Layer (type) Output Shape Param # \n", + "=================================================================\n", + "lstm (LSTM) (None, 1, 500) 1004000 \n", + "_________________________________________________________________\n", + "lstm_1 (LSTM) (None, 1, 500) 2002000 \n", + "_________________________________________________________________\n", + "lstm_2 (LSTM) (None, 500) 2002000 \n", + "_________________________________________________________________\n", + "dropout (Dropout) (None, 500) 0 \n", + "_________________________________________________________________\n", + "activation (Activation) (None, 500) 0 \n", + "_________________________________________________________________\n", + "dense (Dense) (None, 1) 501 \n", + "=================================================================\n", + "Total params: 5,008,501\n", + "Trainable params: 5,008,501\n", + "Non-trainable params: 0\n", + "_________________________________________________________________\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "oLH_xT7qqdpT", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "446bc1f0-ddc3-4a52-c174-15ea63bf63a8" + }, + "source": [ + "history=model.fit(X_train,y_train,validation_data=(X_test,ytest),epochs=20,batch_size=32,verbose=1)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Epoch 1/20\n", + "13/13 [==============================] - 6s 162ms/step - loss: 0.0422 - mae: 0.1598 - val_loss: 0.3443 - val_mae: 0.5704\n", + "Epoch 2/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 0.0216 - mae: 0.1215 - val_loss: 0.4032 - val_mae: 0.6202\n", + "Epoch 3/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 0.0168 - mae: 0.0962 - val_loss: 0.3642 - val_mae: 0.5901\n", + "Epoch 4/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 0.0096 - mae: 0.0663 - val_loss: 0.1141 - val_mae: 0.3296\n", + "Epoch 5/20\n", + "13/13 [==============================] - 1s 41ms/step - loss: 0.0023 - mae: 0.0315 - val_loss: 0.0232 - val_mae: 0.1477\n", + "Epoch 6/20\n", + "13/13 [==============================] - 1s 43ms/step - loss: 0.0011 - mae: 0.0186 - val_loss: 0.0129 - val_mae: 0.1058\n", + "Epoch 7/20\n", + "13/13 [==============================] - 1s 44ms/step - loss: 3.7233e-04 - mae: 0.0123 - val_loss: 0.0049 - val_mae: 0.0604\n", + "Epoch 8/20\n", + "13/13 [==============================] - 1s 45ms/step - loss: 1.6180e-04 - mae: 0.0084 - val_loss: 0.0041 - val_mae: 0.0538\n", + "Epoch 9/20\n", + "13/13 [==============================] - 1s 43ms/step - loss: 1.6337e-04 - mae: 0.0091 - val_loss: 0.0064 - val_mae: 0.0707\n", + "Epoch 10/20\n", + "13/13 [==============================] - 1s 45ms/step - loss: 1.9074e-04 - mae: 0.0077 - val_loss: 0.0035 - val_mae: 0.0487\n", + "Epoch 11/20\n", + "13/13 [==============================] - 1s 41ms/step - loss: 1.1686e-04 - mae: 0.0067 - val_loss: 0.0044 - val_mae: 0.0561\n", + "Epoch 12/20\n", + "13/13 [==============================] - 1s 41ms/step - loss: 1.7812e-04 - mae: 0.0083 - val_loss: 0.0033 - val_mae: 0.0474\n", + "Epoch 13/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 1.6930e-04 - mae: 0.0077 - val_loss: 0.0055 - val_mae: 0.0643\n", + "Epoch 14/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 1.1692e-04 - mae: 0.0069 - val_loss: 0.0028 - val_mae: 0.0425\n", + "Epoch 15/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 1.2750e-04 - mae: 0.0074 - val_loss: 0.0043 - val_mae: 0.0553\n", + "Epoch 16/20\n", + "13/13 [==============================] - 1s 41ms/step - loss: 1.9787e-04 - mae: 0.0098 - val_loss: 0.0059 - val_mae: 0.0675\n", + "Epoch 17/20\n", + "13/13 [==============================] - 1s 41ms/step - loss: 2.1901e-04 - mae: 0.0115 - val_loss: 0.0030 - val_mae: 0.0441\n", + "Epoch 18/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 1.0347e-04 - mae: 0.0061 - val_loss: 0.0027 - val_mae: 0.0419\n", + "Epoch 19/20\n", + "13/13 [==============================] - 1s 41ms/step - loss: 1.2707e-04 - mae: 0.0068 - val_loss: 0.0032 - val_mae: 0.0466\n", + "Epoch 20/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 1.6478e-04 - mae: 0.0088 - val_loss: 0.0037 - val_mae: 0.0503\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "2-RCPm8wjBUb", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "bdbb3f64-e100-4436-d95d-169bc0e13d50" + }, + "source": [ + "history.history['loss']" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[0.03191959112882614,\n", + " 0.018243372440338135,\n", + " 0.014717623591423035,\n", + " 0.009163795970380306,\n", + " 0.0015256005572155118,\n", + " 0.0005994651583023369,\n", + " 0.0002838505315594375,\n", + " 0.00020431107259355485,\n", + " 0.00016604272241238505,\n", + " 0.00015689247811678797,\n", + " 0.00014251841639634222,\n", + " 0.00016275570669677109,\n", + " 0.000160191222676076,\n", + " 0.00011929321772186086,\n", + " 0.0001646284363232553,\n", + " 0.000203924355446361,\n", + " 0.00019159115618094802,\n", + " 0.0001174519638880156,\n", + " 0.00013711779320146888,\n", + " 0.00019837942090816796]" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 17 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "-Rkxen9OBHSw", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 616 + }, + "outputId": "f83471ee-7644-47b1-8fea-f271a09eb04a" + }, + "source": [ + "trace1 = go.Scatter(\n", + " x = np.arange(0, len(history.history['loss']), 1),\n", + " y = history.history['loss'],\n", + " mode = 'lines',\n", + " name = 'Train loss',\n", + " line = dict(color=('rgb(255,0,0)'), width=2, dash='dash')\n", + ")\n", + "trace2 = go.Scatter(\n", + " x = np.arange(0, len(history.history['val_loss']), 1),\n", + " y = history.history['val_loss'],\n", + " mode = 'lines',\n", + " name = 'Test loss',\n", + " line = dict(color=('rgb(1, 0, 255)'), width=2)\n", + ")\n", + "\n", + "data = [trace1, trace2]\n", + "layout = go.Layout(\n", + " autosize=False,\n", + " width=750,\n", + " height=600,\n", + "\n", + " title = 'Train and Test Loss during training',\n", + " xaxis= go.layout.XAxis(linecolor = 'black',\n", + " linewidth = 1,\n", + " mirror = True,\n", + " title = \"Epoch number\",\n", + " color = 'black'\n", + " ),\n", + "\n", + " yaxis= go.layout.YAxis(linecolor = 'red',\n", + " linewidth = 1,\n", + " mirror = True,\n", + " title = \"Loss\",\n", + " color = 'black'),\n", + "\n", + " margin=go.layout.Margin(\n", + " l=50,\n", + " r=50,\n", + " b=100,\n", + " t=100,\n", + " pad = 4\n", + " )\n", + ")\n", + "\n", + "fig = go.Figure(data=data, layout=layout)\n", + "py.iplot(fig, filename='training_process')" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "
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" + ] + }, + "metadata": { + "tags": [] + } + } + ] + } + ] +} \ No newline at end of file From 76a33e2480fd28871965ac536c2f44c15d5bdf77 Mon Sep 17 00:00:00 2001 From: Kainat-Mahar <72600530+Kainat-Mahar@users.noreply.github.com> Date: Fri, 22 Oct 2021 14:23:00 +0500 Subject: [PATCH 061/232] Delete Classification_using_Random_Forest_Algorithm.ipynb --- ...cation_using_Random_Forest_Algorithm.ipynb | 1355 ----------------- 1 file changed, 1355 deletions(-) delete mode 100644 Data Science/Classification_using_Random_Forest_Algorithm.ipynb diff --git a/Data Science/Classification_using_Random_Forest_Algorithm.ipynb b/Data Science/Classification_using_Random_Forest_Algorithm.ipynb deleted file mode 100644 index ef5e38c..0000000 --- a/Data Science/Classification_using_Random_Forest_Algorithm.ipynb +++ /dev/null @@ -1,1355 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "name": "Classification using Random Forest Algorithm.ipynb", - "provenance": [], - "collapsed_sections": [] - }, - "kernelspec": { - "name": "python3", - "display_name": "Python 3" - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "HbbGwEA47kDj" - }, - "source": [ - "Importing Libraries" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "roYk-Q3s6yVd" - }, - "source": [ - "import numpy as np\n", - "import pandas as pd\n", - "import matplotlib as plt\n", - "import seaborn as sns\n", - "import matplotlib.pyplot as plt" - ], - "execution_count": 1, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "7v8I08N58jcA" - }, - "source": [ - "Data Wrangling" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "Ttq0PCrZ8i_d", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 202 - }, - "outputId": "d2a6d459-e354-475f-d2c5-ef08982f82d0" - }, - "source": [ - "data = pd.read_csv('dataset.csv')\n", - "\n", - "data.head(5)" - ], - "execution_count": 2, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/html": [ - "
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oldpeak303.01.0396041.1610750.00.00.81.66.2
slope303.01.3993400.6162260.01.01.02.02.0
ca303.00.7293731.0226060.00.00.01.04.0
thal303.02.3135310.6122770.02.02.03.03.0
target303.00.5445540.4988350.00.01.01.01.0
\n", - "
" - ], - "text/plain": [ - " count mean std min 25% 50% 75% max\n", - "age 303.0 54.366337 9.082101 29.0 47.5 55.0 61.0 77.0\n", - "sex 303.0 0.683168 0.466011 0.0 0.0 1.0 1.0 1.0\n", - "cp 303.0 0.966997 1.032052 0.0 0.0 1.0 2.0 3.0\n", - "trestbps 303.0 131.623762 17.538143 94.0 120.0 130.0 140.0 200.0\n", - "chol 303.0 246.264026 51.830751 126.0 211.0 240.0 274.5 564.0\n", - "fbs 303.0 0.148515 0.356198 0.0 0.0 0.0 0.0 1.0\n", - "restecg 303.0 0.528053 0.525860 0.0 0.0 1.0 1.0 2.0\n", - "thalach 303.0 149.646865 22.905161 71.0 133.5 153.0 166.0 202.0\n", - "exang 303.0 0.326733 0.469794 0.0 0.0 0.0 1.0 1.0\n", - "oldpeak 303.0 1.039604 1.161075 0.0 0.0 0.8 1.6 6.2\n", - "slope 303.0 1.399340 0.616226 0.0 1.0 1.0 2.0 2.0\n", - "ca 303.0 0.729373 1.022606 0.0 0.0 0.0 1.0 4.0\n", - "thal 303.0 2.313531 0.612277 0.0 2.0 2.0 3.0 3.0\n", - "target 303.0 0.544554 0.498835 0.0 0.0 1.0 1.0 1.0" - ] - }, - "metadata": {}, - "execution_count": 5 - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "a6ushlSP9EJP", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "366a429a-9d57-4ea8-bc8d-b51b0baf45fc" - }, - "source": [ - "# Display the Missing Values\n", - "\n", - "print(data.isna().sum())" - ], - "execution_count": 6, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "age 0\n", - "sex 0\n", - "cp 0\n", - "trestbps 0\n", - "chol 0\n", - "fbs 0\n", - "restecg 0\n", - "thalach 0\n", - "exang 0\n", - "oldpeak 0\n", - "slope 0\n", - "ca 0\n", - "thal 0\n", - "target 0\n", - "dtype: int64\n" - ] - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "IXOMCsIl9JpJ", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 612 - }, - "outputId": "7b01ed95-db2a-435c-f6e5-c8423976082c" - }, - "source": [ - "# calculate correlation matrix\n", - "\n", - "corr = data.corr()\n", - "plt.subplots(figsize=(15,10))\n", - "sns.heatmap(corr, xticklabels=corr.columns, yticklabels=corr.columns, annot=True, cmap=sns.diverging_palette(220, 20, as_cmap=True))\n", - "sns.heatmap(corr, xticklabels=corr.columns,\n", - " yticklabels=corr.columns, \n", - " annot=True,\n", - " cmap=sns.diverging_palette(220, 20, as_cmap=True))" - ], - "execution_count": 7, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "" - ] - }, - "metadata": {}, - "execution_count": 7 - }, - { - "output_type": "display_data", - "data": { - "image/png": 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mean52.4969700.5636361.375758129.303030242.2303030.1393940.593939158.4666670.1393940.5830301.5939390.3636362.1212121.0
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75%59.0000001.0000002.000000140.000000267.0000000.0000001.000000172.0000000.0000001.0000002.0000000.0000002.0000001.0
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" - ], - "text/plain": [ - " age sex cp ... ca thal target\n", - "count 165.000000 165.000000 165.000000 ... 165.000000 165.000000 165.0\n", - "mean 52.496970 0.563636 1.375758 ... 0.363636 2.121212 1.0\n", - "std 9.550651 0.497444 0.952222 ... 0.848894 0.465752 0.0\n", - "min 29.000000 0.000000 0.000000 ... 0.000000 0.000000 1.0\n", - "25% 44.000000 0.000000 1.000000 ... 0.000000 2.000000 1.0\n", - "50% 52.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", - "75% 59.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", - "max 76.000000 1.000000 3.000000 ... 4.000000 3.000000 1.0\n", - "\n", - "[8 rows x 14 columns]" - ] - }, - "metadata": {}, - "execution_count": 8 - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "iNdi8cwN9wmU", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 314 - }, - "outputId": "1e819b7f-f8cc-4418-f4f7-d5c8c010c77e" - }, - "source": [ - "# Filtering data by NEGATIVE Heart Disease patient\n", - "pos_data = data[data['target']==0]\n", - "pos_data.describe()" - ], - "execution_count": 9, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/html": [ - "
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mean56.6014490.8260870.478261134.398551251.0869570.1594200.449275139.1014490.5507251.5855071.1666671.1666672.5434780.0
std7.9620820.3804160.90592018.72994449.4546140.3674010.54132122.5987820.4992321.3003400.5613241.0434600.6847620.0
min35.0000000.0000000.000000100.000000131.0000000.0000000.00000071.0000000.0000000.0000000.0000000.0000000.0000000.0
25%52.0000001.0000000.000000120.000000217.2500000.0000000.000000125.0000000.0000000.6000001.0000000.0000002.0000000.0
50%58.0000001.0000000.000000130.000000249.0000000.0000000.000000142.0000001.0000001.4000001.0000001.0000003.0000000.0
75%62.0000001.0000000.000000144.750000283.0000000.0000001.000000156.0000001.0000002.5000001.7500002.0000003.0000000.0
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" - ], - "text/plain": [ - " age sex cp ... ca thal target\n", - "count 138.000000 138.000000 138.000000 ... 138.000000 138.000000 138.0\n", - "mean 56.601449 0.826087 0.478261 ... 1.166667 2.543478 0.0\n", - "std 7.962082 0.380416 0.905920 ... 1.043460 0.684762 0.0\n", - "min 35.000000 0.000000 0.000000 ... 0.000000 0.000000 0.0\n", - "25% 52.000000 1.000000 0.000000 ... 0.000000 2.000000 0.0\n", - "50% 58.000000 1.000000 0.000000 ... 1.000000 3.000000 0.0\n", - "75% 62.000000 1.000000 0.000000 ... 2.000000 3.000000 0.0\n", - "max 77.000000 1.000000 3.000000 ... 4.000000 3.000000 0.0\n", - "\n", - "[8 rows x 14 columns]" - ] - }, - "metadata": {}, - "execution_count": 9 - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "DbzJPYQV9lPu" - }, - "source": [ - "Assign the 13 features to X, & the last column to our classification predictor, y" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "FjMSVs94960R" - }, - "source": [ - "X = data.iloc[:, :-1].values\n", - "y = data.iloc[:, -1].values" - ], - "execution_count": 10, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "kYwABWTb-AJx" - }, - "source": [ - "Split: the data set into the Training set and Test set" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "DlgSSiYE99tk" - }, - "source": [ - "from sklearn.model_selection import train_test_split\n", - "x_train, x_test, y_train, y_test = train_test_split(X,y,test_size = 0.2, random_state = 1)" - ], - "execution_count": 11, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "MuoZklrK-FJY" - }, - "source": [ - "Normalize: Standardizing the data a mean of 0 and a standard deviation of 1." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "rGfWqZir-LLs" - }, - "source": [ - "from sklearn.preprocessing import StandardScaler\n", - "sc = StandardScaler()\n", - "x_train = sc.fit_transform(x_train)\n", - "x_test = sc.transform(x_test)" - ], - "execution_count": 12, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "CwBqTSrI-WVv" - }, - "source": [ - "Modeling /Training" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "xk0Uem6P-qgq" - }, - "source": [ - "Model: Random Forest\n", - "\n" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "JaSaSKDT-qE-", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "bbcc9de5-0a3e-4a70-9eb9-3530cc7803e0" - }, - "source": [ - "from sklearn.metrics import classification_report \n", - "from sklearn.ensemble import RandomForestClassifier\n", - "\n", - "model3 = RandomForestClassifier(random_state=1)# get instance of model\n", - "model3.fit(x_train, y_train) # Train/Fit model \n", - "\n", - "y_pred3 = model3.predict(x_test) # get y predictions\n", - "print(classification_report(y_test, y_pred3)) # output accuracy" - ], - "execution_count": 13, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - " precision recall f1-score support\n", - "\n", - " 0 0.88 0.70 0.78 30\n", - " 1 0.76 0.90 0.82 31\n", - "\n", - " accuracy 0.80 61\n", - " macro avg 0.82 0.80 0.80 61\n", - "weighted avg 0.81 0.80 0.80 61\n", - "\n" - ] - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "NYkRl2Et-1vo" - }, - "source": [ - "Making the Confusion Matrix" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "qH0hRD8j-3m9", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "f8f38c70-ce4c-4824-9ba3-13d9e6b06f5b" - }, - "source": [ - "from sklearn.metrics import confusion_matrix, accuracy_score\n", - "cm = confusion_matrix(y_test, y_pred3)\n", - "print(cm)\n", - "accuracy_score(y_test, y_pred3)" - ], - "execution_count": 14, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "[[21 9]\n", - " [ 3 28]]\n" - ] - }, - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "0.8032786885245902" - ] - }, - "metadata": {}, - "execution_count": 14 - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "fu7KQOnjzY6g", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "87984799-bb19-4075-de5c-d83033940f4c" - }, - "source": [ - "TN = cm[0][0]\n", - "FN = cm[1][0]\n", - "TP = cm[1][1]\n", - "FP = cm[0][1]\n", - "\n", - "specificity = (TN/TN+FP)\n", - "\n", - "print ('Specificity = ', specificity)" - ], - "execution_count": 15, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Specificity = 10.0\n" - ] - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "Vt5yCe496RoC", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "082a4a24-d607-44b9-d067-f69f77657a84" - }, - "source": [ - "senstivity = (TP/TP+FN)\n", - "\n", - "print ('Senstivity = ', senstivity)" - ], - "execution_count": 16, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Senstivity = 4.0\n" - ] - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "HrNkVFg8-_hj" - }, - "source": [ - "Feature Importance" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "qCRNG8uR-6mX", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "9cbe2af3-6685-4e5e-9c62-6124190834ae" - }, - "source": [ - "# get importance\n", - "importance = model3.feature_importances_\n", - "\n", - "# summarize feature importance\n", - "for i,v in enumerate(importance):\n", - " print('Feature: %0d, Score: %.5f' % (i,v))" - ], - "execution_count": 17, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Feature: 0, Score: 0.07814\n", - "Feature: 1, Score: 0.04206\n", - "Feature: 2, Score: 0.16580\n", - "Feature: 3, Score: 0.07477\n", - "Feature: 4, Score: 0.07587\n", - "Feature: 5, Score: 0.00828\n", - "Feature: 6, Score: 0.02014\n", - "Feature: 7, Score: 0.12772\n", - "Feature: 8, Score: 0.06950\n", - "Feature: 9, Score: 0.09957\n", - "Feature: 10, Score: 0.04677\n", - "Feature: 11, Score: 0.11667\n", - "Feature: 12, Score: 0.07473\n" - ] - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "tUtHmfsu_EOF", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 282 - }, - "outputId": "3ccc0576-c4dd-41ba-e83e-cac8040ced12" - }, - "source": [ - "index= data.columns[:-1]\n", - "importance = pd.Series(model3.feature_importances_, index=index)\n", - "importance.nlargest(13).plot(kind='barh', colormap='winter')" - ], - "execution_count": 18, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "" - ] - }, - "metadata": {}, - "execution_count": 18 - }, - { - "output_type": "display_data", - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - } - } - ] - } - ] -} \ No newline at end of file From 58851aae75c0731d1474f96ec30aabffd16529f4 Mon Sep 17 00:00:00 2001 From: Kainat-Mahar <72600530+Kainat-Mahar@users.noreply.github.com> Date: Fri, 22 Oct 2021 14:23:58 +0500 Subject: [PATCH 062/232] Add files via upload --- ...cation_using_Random_Forest_Algorithm.ipynb | 1355 +++++++++++++++++ 1 file changed, 1355 insertions(+) create mode 100644 Data Science/Classification_using_Random_Forest_Algorithm.ipynb diff --git a/Data Science/Classification_using_Random_Forest_Algorithm.ipynb b/Data Science/Classification_using_Random_Forest_Algorithm.ipynb new file mode 100644 index 0000000..ef5e38c --- /dev/null +++ b/Data Science/Classification_using_Random_Forest_Algorithm.ipynb @@ -0,0 +1,1355 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "Classification using Random Forest Algorithm.ipynb", + "provenance": [], + "collapsed_sections": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "HbbGwEA47kDj" + }, + "source": [ + "Importing Libraries" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "roYk-Q3s6yVd" + }, + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib as plt\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt" + ], + "execution_count": 1, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7v8I08N58jcA" + }, + "source": [ + "Data Wrangling" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Ttq0PCrZ8i_d", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 202 + }, + "outputId": "d2a6d459-e354-475f-d2c5-ef08982f82d0" + }, + "source": [ + "data = pd.read_csv('dataset.csv')\n", + "\n", + "data.head(5)" + ], + "execution_count": 2, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " age sex cp trestbps chol fbs ... exang oldpeak slope ca thal target\n", + "0 63 1 3 145 233 1 ... 0 2.3 0 0 1 1\n", + "1 37 1 2 130 250 0 ... 0 3.5 0 0 2 1\n", + "2 41 0 1 130 204 0 ... 0 1.4 2 0 2 1\n", + "3 56 1 1 120 236 0 ... 0 0.8 2 0 2 1\n", + "4 57 0 0 120 354 0 ... 1 0.6 2 0 2 1\n", + "\n", + "[5 rows x 14 columns]" + ] + }, + "metadata": {}, + "execution_count": 2 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "8PJwi9rc8tp-", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4e8f191b-6599-496e-b97b-8fcbedbc7b22" + }, + "source": [ + "print(\"(Rows, columns): \" + str(data.shape))\n", + "data.columns " + ], + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "(Rows, columns): (303, 14)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Index(['age', 'sex', 'cp', 'trestbps', 'chol', 'fbs', 'restecg', 'thalach',\n", + " 'exang', 'oldpeak', 'slope', 'ca', 'thal', 'target'],\n", + " dtype='object')" + ] + }, + "metadata": {}, + "execution_count": 3 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "PxY79ivL80gB", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "73b9d73d-e643-4602-ac52-c8df5d5a8413" + }, + "source": [ + "data.nunique(axis=0)# returns the number of unique values for each variable." + ], + "execution_count": 4, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "age 41\n", + "sex 2\n", + "cp 4\n", + "trestbps 49\n", + "chol 152\n", + "fbs 2\n", + "restecg 3\n", + "thalach 91\n", + "exang 2\n", + "oldpeak 40\n", + "slope 3\n", + "ca 5\n", + "thal 4\n", + "target 2\n", + "dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "wn63NFgG88dd", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 477 + }, + "outputId": "83fe2164-71d8-438a-f38f-6076eb0512c6" + }, + "source": [ + "#summarizes the count, mean, standard deviation, min, and max for numeric variables.\n", + "data.describe().transpose()" + ], + "execution_count": 5, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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countmeanstdmin25%50%75%max
age303.054.3663379.08210129.047.555.061.077.0
sex303.00.6831680.4660110.00.01.01.01.0
cp303.00.9669971.0320520.00.01.02.03.0
trestbps303.0131.62376217.53814394.0120.0130.0140.0200.0
chol303.0246.26402651.830751126.0211.0240.0274.5564.0
fbs303.00.1485150.3561980.00.00.00.01.0
restecg303.00.5280530.5258600.00.01.01.02.0
thalach303.0149.64686522.90516171.0133.5153.0166.0202.0
exang303.00.3267330.4697940.00.00.01.01.0
oldpeak303.01.0396041.1610750.00.00.81.66.2
slope303.01.3993400.6162260.01.01.02.02.0
ca303.00.7293731.0226060.00.00.01.04.0
thal303.02.3135310.6122770.02.02.03.03.0
target303.00.5445540.4988350.00.01.01.01.0
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" + ], + "text/plain": [ + " count mean std min 25% 50% 75% max\n", + "age 303.0 54.366337 9.082101 29.0 47.5 55.0 61.0 77.0\n", + "sex 303.0 0.683168 0.466011 0.0 0.0 1.0 1.0 1.0\n", + "cp 303.0 0.966997 1.032052 0.0 0.0 1.0 2.0 3.0\n", + "trestbps 303.0 131.623762 17.538143 94.0 120.0 130.0 140.0 200.0\n", + "chol 303.0 246.264026 51.830751 126.0 211.0 240.0 274.5 564.0\n", + "fbs 303.0 0.148515 0.356198 0.0 0.0 0.0 0.0 1.0\n", + "restecg 303.0 0.528053 0.525860 0.0 0.0 1.0 1.0 2.0\n", + "thalach 303.0 149.646865 22.905161 71.0 133.5 153.0 166.0 202.0\n", + "exang 303.0 0.326733 0.469794 0.0 0.0 0.0 1.0 1.0\n", + "oldpeak 303.0 1.039604 1.161075 0.0 0.0 0.8 1.6 6.2\n", + "slope 303.0 1.399340 0.616226 0.0 1.0 1.0 2.0 2.0\n", + "ca 303.0 0.729373 1.022606 0.0 0.0 0.0 1.0 4.0\n", + "thal 303.0 2.313531 0.612277 0.0 2.0 2.0 3.0 3.0\n", + "target 303.0 0.544554 0.498835 0.0 0.0 1.0 1.0 1.0" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "a6ushlSP9EJP", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "366a429a-9d57-4ea8-bc8d-b51b0baf45fc" + }, + "source": [ + "# Display the Missing Values\n", + "\n", + "print(data.isna().sum())" + ], + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "age 0\n", + "sex 0\n", + "cp 0\n", + "trestbps 0\n", + "chol 0\n", + "fbs 0\n", + "restecg 0\n", + "thalach 0\n", + "exang 0\n", + "oldpeak 0\n", + "slope 0\n", + "ca 0\n", + "thal 0\n", + "target 0\n", + "dtype: int64\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "IXOMCsIl9JpJ", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 612 + }, + "outputId": "7b01ed95-db2a-435c-f6e5-c8423976082c" + }, + "source": [ + "# calculate correlation matrix\n", + "\n", + "corr = data.corr()\n", + "plt.subplots(figsize=(15,10))\n", + "sns.heatmap(corr, xticklabels=corr.columns, yticklabels=corr.columns, annot=True, cmap=sns.diverging_palette(220, 20, as_cmap=True))\n", + "sns.heatmap(corr, xticklabels=corr.columns,\n", + " yticklabels=corr.columns, \n", + " annot=True,\n", + " cmap=sns.diverging_palette(220, 20, as_cmap=True))" + ], + "execution_count": 7, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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" + ], + "text/plain": [ + " age sex cp ... ca thal target\n", + "count 165.000000 165.000000 165.000000 ... 165.000000 165.000000 165.0\n", + "mean 52.496970 0.563636 1.375758 ... 0.363636 2.121212 1.0\n", + "std 9.550651 0.497444 0.952222 ... 0.848894 0.465752 0.0\n", + "min 29.000000 0.000000 0.000000 ... 0.000000 0.000000 1.0\n", + "25% 44.000000 0.000000 1.000000 ... 0.000000 2.000000 1.0\n", + "50% 52.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", + "75% 59.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", + "max 76.000000 1.000000 3.000000 ... 4.000000 3.000000 1.0\n", + "\n", + "[8 rows x 14 columns]" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "iNdi8cwN9wmU", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 314 + }, + "outputId": "1e819b7f-f8cc-4418-f4f7-d5c8c010c77e" + }, + "source": [ + "# Filtering data by NEGATIVE Heart Disease patient\n", + "pos_data = data[data['target']==0]\n", + "pos_data.describe()" + ], + "execution_count": 9, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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mean56.6014490.8260870.478261134.398551251.0869570.1594200.449275139.1014490.5507251.5855071.1666671.1666672.5434780.0
std7.9620820.3804160.90592018.72994449.4546140.3674010.54132122.5987820.4992321.3003400.5613241.0434600.6847620.0
min35.0000000.0000000.000000100.000000131.0000000.0000000.00000071.0000000.0000000.0000000.0000000.0000000.0000000.0
25%52.0000001.0000000.000000120.000000217.2500000.0000000.000000125.0000000.0000000.6000001.0000000.0000002.0000000.0
50%58.0000001.0000000.000000130.000000249.0000000.0000000.000000142.0000001.0000001.4000001.0000001.0000003.0000000.0
75%62.0000001.0000000.000000144.750000283.0000000.0000001.000000156.0000001.0000002.5000001.7500002.0000003.0000000.0
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" + ], + "text/plain": [ + " age sex cp ... ca thal target\n", + "count 138.000000 138.000000 138.000000 ... 138.000000 138.000000 138.0\n", + "mean 56.601449 0.826087 0.478261 ... 1.166667 2.543478 0.0\n", + "std 7.962082 0.380416 0.905920 ... 1.043460 0.684762 0.0\n", + "min 35.000000 0.000000 0.000000 ... 0.000000 0.000000 0.0\n", + "25% 52.000000 1.000000 0.000000 ... 0.000000 2.000000 0.0\n", + "50% 58.000000 1.000000 0.000000 ... 1.000000 3.000000 0.0\n", + "75% 62.000000 1.000000 0.000000 ... 2.000000 3.000000 0.0\n", + "max 77.000000 1.000000 3.000000 ... 4.000000 3.000000 0.0\n", + "\n", + "[8 rows x 14 columns]" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DbzJPYQV9lPu" + }, + "source": [ + "Assign the 13 features to X, & the last column to our classification predictor, y" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "FjMSVs94960R" + }, + "source": [ + "X = data.iloc[:, :-1].values\n", + "y = data.iloc[:, -1].values" + ], + "execution_count": 10, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "kYwABWTb-AJx" + }, + "source": [ + "Split: the data set into the Training set and Test set" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "DlgSSiYE99tk" + }, + "source": [ + "from sklearn.model_selection import train_test_split\n", + "x_train, x_test, y_train, y_test = train_test_split(X,y,test_size = 0.2, random_state = 1)" + ], + "execution_count": 11, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "MuoZklrK-FJY" + }, + "source": [ + "Normalize: Standardizing the data a mean of 0 and a standard deviation of 1." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "rGfWqZir-LLs" + }, + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "sc = StandardScaler()\n", + "x_train = sc.fit_transform(x_train)\n", + "x_test = sc.transform(x_test)" + ], + "execution_count": 12, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CwBqTSrI-WVv" + }, + "source": [ + "Modeling /Training" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "xk0Uem6P-qgq" + }, + "source": [ + "Model: Random Forest\n", + "\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "JaSaSKDT-qE-", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "bbcc9de5-0a3e-4a70-9eb9-3530cc7803e0" + }, + "source": [ + "from sklearn.metrics import classification_report \n", + "from sklearn.ensemble import RandomForestClassifier\n", + "\n", + "model3 = RandomForestClassifier(random_state=1)# get instance of model\n", + "model3.fit(x_train, y_train) # Train/Fit model \n", + "\n", + "y_pred3 = model3.predict(x_test) # get y predictions\n", + "print(classification_report(y_test, y_pred3)) # output accuracy" + ], + "execution_count": 13, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " precision recall f1-score support\n", + "\n", + " 0 0.88 0.70 0.78 30\n", + " 1 0.76 0.90 0.82 31\n", + "\n", + " accuracy 0.80 61\n", + " macro avg 0.82 0.80 0.80 61\n", + "weighted avg 0.81 0.80 0.80 61\n", + "\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NYkRl2Et-1vo" + }, + "source": [ + "Making the Confusion Matrix" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "qH0hRD8j-3m9", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "f8f38c70-ce4c-4824-9ba3-13d9e6b06f5b" + }, + "source": [ + "from sklearn.metrics import confusion_matrix, accuracy_score\n", + "cm = confusion_matrix(y_test, y_pred3)\n", + "print(cm)\n", + "accuracy_score(y_test, y_pred3)" + ], + "execution_count": 14, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[[21 9]\n", + " [ 3 28]]\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0.8032786885245902" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "fu7KQOnjzY6g", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "87984799-bb19-4075-de5c-d83033940f4c" + }, + "source": [ + "TN = cm[0][0]\n", + "FN = cm[1][0]\n", + "TP = cm[1][1]\n", + "FP = cm[0][1]\n", + "\n", + "specificity = (TN/TN+FP)\n", + "\n", + "print ('Specificity = ', specificity)" + ], + "execution_count": 15, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Specificity = 10.0\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Vt5yCe496RoC", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "082a4a24-d607-44b9-d067-f69f77657a84" + }, + "source": [ + "senstivity = (TP/TP+FN)\n", + "\n", + "print ('Senstivity = ', senstivity)" + ], + "execution_count": 16, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Senstivity = 4.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "HrNkVFg8-_hj" + }, + "source": [ + "Feature Importance" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "qCRNG8uR-6mX", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9cbe2af3-6685-4e5e-9c62-6124190834ae" + }, + "source": [ + "# get importance\n", + "importance = model3.feature_importances_\n", + "\n", + "# summarize feature importance\n", + "for i,v in enumerate(importance):\n", + " print('Feature: %0d, Score: %.5f' % (i,v))" + ], + "execution_count": 17, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Feature: 0, Score: 0.07814\n", + "Feature: 1, Score: 0.04206\n", + "Feature: 2, Score: 0.16580\n", + "Feature: 3, Score: 0.07477\n", + "Feature: 4, Score: 0.07587\n", + "Feature: 5, Score: 0.00828\n", + "Feature: 6, Score: 0.02014\n", + "Feature: 7, Score: 0.12772\n", + "Feature: 8, Score: 0.06950\n", + "Feature: 9, Score: 0.09957\n", + "Feature: 10, Score: 0.04677\n", + "Feature: 11, Score: 0.11667\n", + "Feature: 12, Score: 0.07473\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "tUtHmfsu_EOF", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "outputId": "3ccc0576-c4dd-41ba-e83e-cac8040ced12" + }, + "source": [ + "index= data.columns[:-1]\n", + "importance = pd.Series(model3.feature_importances_, index=index)\n", + "importance.nlargest(13).plot(kind='barh', colormap='winter')" + ], + "execution_count": 18, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 18 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + } + ] +} \ No newline at end of file From 7d2c3925df5439931c72e05f2dd0e7c93a02b7f8 Mon Sep 17 00:00:00 2001 From: Kainat-Mahar <72600530+Kainat-Mahar@users.noreply.github.com> Date: Fri, 22 Oct 2021 15:27:56 +0500 Subject: [PATCH 063/232] Delete Classification_using_Random_Forest_Algorithm.ipynb --- ...cation_using_Random_Forest_Algorithm.ipynb | 1355 ----------------- 1 file changed, 1355 deletions(-) delete mode 100644 Data Science/Classification_using_Random_Forest_Algorithm.ipynb diff --git a/Data Science/Classification_using_Random_Forest_Algorithm.ipynb b/Data Science/Classification_using_Random_Forest_Algorithm.ipynb deleted file mode 100644 index ef5e38c..0000000 --- a/Data Science/Classification_using_Random_Forest_Algorithm.ipynb +++ /dev/null @@ -1,1355 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "name": "Classification using Random Forest Algorithm.ipynb", - "provenance": [], - "collapsed_sections": [] - }, - "kernelspec": { - "name": "python3", - "display_name": "Python 3" - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "HbbGwEA47kDj" - }, - "source": [ - "Importing Libraries" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "roYk-Q3s6yVd" - }, - "source": [ - "import numpy as np\n", - "import pandas as pd\n", - "import matplotlib as plt\n", - "import seaborn as sns\n", - "import matplotlib.pyplot as plt" - ], - "execution_count": 1, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "7v8I08N58jcA" - }, - "source": [ - "Data Wrangling" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "Ttq0PCrZ8i_d", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 202 - }, - "outputId": "d2a6d459-e354-475f-d2c5-ef08982f82d0" - }, - "source": [ - "data = pd.read_csv('dataset.csv')\n", - "\n", - "data.head(5)" - ], - "execution_count": 2, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/html": [ - "
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" - ], - "text/plain": [ - " age sex cp trestbps chol fbs ... exang oldpeak slope ca thal target\n", - "0 63 1 3 145 233 1 ... 0 2.3 0 0 1 1\n", - "1 37 1 2 130 250 0 ... 0 3.5 0 0 2 1\n", - "2 41 0 1 130 204 0 ... 0 1.4 2 0 2 1\n", - "3 56 1 1 120 236 0 ... 0 0.8 2 0 2 1\n", - "4 57 0 0 120 354 0 ... 1 0.6 2 0 2 1\n", - "\n", - "[5 rows x 14 columns]" - ] - }, - "metadata": {}, - "execution_count": 2 - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "8PJwi9rc8tp-", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "4e8f191b-6599-496e-b97b-8fcbedbc7b22" - }, - "source": [ - "print(\"(Rows, columns): \" + str(data.shape))\n", - "data.columns " - ], - "execution_count": 3, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "(Rows, columns): (303, 14)\n" - ] - }, - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "Index(['age', 'sex', 'cp', 'trestbps', 'chol', 'fbs', 'restecg', 'thalach',\n", - " 'exang', 'oldpeak', 'slope', 'ca', 'thal', 'target'],\n", - " dtype='object')" - ] - }, - "metadata": {}, - "execution_count": 3 - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "PxY79ivL80gB", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "73b9d73d-e643-4602-ac52-c8df5d5a8413" - }, - "source": [ - "data.nunique(axis=0)# returns the number of unique values for each variable." - ], - "execution_count": 4, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "age 41\n", - "sex 2\n", - "cp 4\n", - "trestbps 49\n", - "chol 152\n", - "fbs 2\n", - "restecg 3\n", - "thalach 91\n", - "exang 2\n", - "oldpeak 40\n", - "slope 3\n", - "ca 5\n", - "thal 4\n", - "target 2\n", - "dtype: int64" - ] - }, - "metadata": {}, - "execution_count": 4 - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "wn63NFgG88dd", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 477 - }, - "outputId": "83fe2164-71d8-438a-f38f-6076eb0512c6" - }, - "source": [ - "#summarizes the count, mean, standard deviation, min, and max for numeric variables.\n", - "data.describe().transpose()" - ], - "execution_count": 5, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/html": [ - "
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countmeanstdmin25%50%75%max
age303.054.3663379.08210129.047.555.061.077.0
sex303.00.6831680.4660110.00.01.01.01.0
cp303.00.9669971.0320520.00.01.02.03.0
trestbps303.0131.62376217.53814394.0120.0130.0140.0200.0
chol303.0246.26402651.830751126.0211.0240.0274.5564.0
fbs303.00.1485150.3561980.00.00.00.01.0
restecg303.00.5280530.5258600.00.01.01.02.0
thalach303.0149.64686522.90516171.0133.5153.0166.0202.0
exang303.00.3267330.4697940.00.00.01.01.0
oldpeak303.01.0396041.1610750.00.00.81.66.2
slope303.01.3993400.6162260.01.01.02.02.0
ca303.00.7293731.0226060.00.00.01.04.0
thal303.02.3135310.6122770.02.02.03.03.0
target303.00.5445540.4988350.00.01.01.01.0
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" - ], - "text/plain": [ - " count mean std min 25% 50% 75% max\n", - "age 303.0 54.366337 9.082101 29.0 47.5 55.0 61.0 77.0\n", - "sex 303.0 0.683168 0.466011 0.0 0.0 1.0 1.0 1.0\n", - "cp 303.0 0.966997 1.032052 0.0 0.0 1.0 2.0 3.0\n", - "trestbps 303.0 131.623762 17.538143 94.0 120.0 130.0 140.0 200.0\n", - "chol 303.0 246.264026 51.830751 126.0 211.0 240.0 274.5 564.0\n", - "fbs 303.0 0.148515 0.356198 0.0 0.0 0.0 0.0 1.0\n", - "restecg 303.0 0.528053 0.525860 0.0 0.0 1.0 1.0 2.0\n", - "thalach 303.0 149.646865 22.905161 71.0 133.5 153.0 166.0 202.0\n", - "exang 303.0 0.326733 0.469794 0.0 0.0 0.0 1.0 1.0\n", - "oldpeak 303.0 1.039604 1.161075 0.0 0.0 0.8 1.6 6.2\n", - "slope 303.0 1.399340 0.616226 0.0 1.0 1.0 2.0 2.0\n", - "ca 303.0 0.729373 1.022606 0.0 0.0 0.0 1.0 4.0\n", - "thal 303.0 2.313531 0.612277 0.0 2.0 2.0 3.0 3.0\n", - "target 303.0 0.544554 0.498835 0.0 0.0 1.0 1.0 1.0" - ] - }, - "metadata": {}, - "execution_count": 5 - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "a6ushlSP9EJP", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "366a429a-9d57-4ea8-bc8d-b51b0baf45fc" - }, - "source": [ - "# Display the Missing Values\n", - "\n", - "print(data.isna().sum())" - ], - "execution_count": 6, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "age 0\n", - "sex 0\n", - "cp 0\n", - "trestbps 0\n", - "chol 0\n", - "fbs 0\n", - "restecg 0\n", - "thalach 0\n", - "exang 0\n", - "oldpeak 0\n", - "slope 0\n", - "ca 0\n", - "thal 0\n", - "target 0\n", - "dtype: int64\n" - ] - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "IXOMCsIl9JpJ", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 612 - }, - "outputId": "7b01ed95-db2a-435c-f6e5-c8423976082c" - }, - "source": [ - "# calculate correlation matrix\n", - "\n", - "corr = data.corr()\n", - "plt.subplots(figsize=(15,10))\n", - "sns.heatmap(corr, xticklabels=corr.columns, yticklabels=corr.columns, annot=True, cmap=sns.diverging_palette(220, 20, as_cmap=True))\n", - "sns.heatmap(corr, xticklabels=corr.columns,\n", - " yticklabels=corr.columns, \n", - " annot=True,\n", - " cmap=sns.diverging_palette(220, 20, as_cmap=True))" - ], - "execution_count": 7, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "" - ] - }, - "metadata": {}, - "execution_count": 7 - }, - { - "output_type": "display_data", - "data": { - "image/png": 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mean52.4969700.5636361.375758129.303030242.2303030.1393940.593939158.4666670.1393940.5830301.5939390.3636362.1212121.0
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75%59.0000001.0000002.000000140.000000267.0000000.0000001.000000172.0000000.0000001.0000002.0000000.0000002.0000001.0
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" - ], - "text/plain": [ - " age sex cp ... ca thal target\n", - "count 165.000000 165.000000 165.000000 ... 165.000000 165.000000 165.0\n", - "mean 52.496970 0.563636 1.375758 ... 0.363636 2.121212 1.0\n", - "std 9.550651 0.497444 0.952222 ... 0.848894 0.465752 0.0\n", - "min 29.000000 0.000000 0.000000 ... 0.000000 0.000000 1.0\n", - "25% 44.000000 0.000000 1.000000 ... 0.000000 2.000000 1.0\n", - "50% 52.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", - "75% 59.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", - "max 76.000000 1.000000 3.000000 ... 4.000000 3.000000 1.0\n", - "\n", - "[8 rows x 14 columns]" - ] - }, - "metadata": {}, - "execution_count": 8 - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "iNdi8cwN9wmU", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 314 - }, - "outputId": "1e819b7f-f8cc-4418-f4f7-d5c8c010c77e" - }, - "source": [ - "# Filtering data by NEGATIVE Heart Disease patient\n", - "pos_data = data[data['target']==0]\n", - "pos_data.describe()" - ], - "execution_count": 9, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/html": [ - "
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mean56.6014490.8260870.478261134.398551251.0869570.1594200.449275139.1014490.5507251.5855071.1666671.1666672.5434780.0
std7.9620820.3804160.90592018.72994449.4546140.3674010.54132122.5987820.4992321.3003400.5613241.0434600.6847620.0
min35.0000000.0000000.000000100.000000131.0000000.0000000.00000071.0000000.0000000.0000000.0000000.0000000.0000000.0
25%52.0000001.0000000.000000120.000000217.2500000.0000000.000000125.0000000.0000000.6000001.0000000.0000002.0000000.0
50%58.0000001.0000000.000000130.000000249.0000000.0000000.000000142.0000001.0000001.4000001.0000001.0000003.0000000.0
75%62.0000001.0000000.000000144.750000283.0000000.0000001.000000156.0000001.0000002.5000001.7500002.0000003.0000000.0
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" - ], - "text/plain": [ - " age sex cp ... ca thal target\n", - "count 138.000000 138.000000 138.000000 ... 138.000000 138.000000 138.0\n", - "mean 56.601449 0.826087 0.478261 ... 1.166667 2.543478 0.0\n", - "std 7.962082 0.380416 0.905920 ... 1.043460 0.684762 0.0\n", - "min 35.000000 0.000000 0.000000 ... 0.000000 0.000000 0.0\n", - "25% 52.000000 1.000000 0.000000 ... 0.000000 2.000000 0.0\n", - "50% 58.000000 1.000000 0.000000 ... 1.000000 3.000000 0.0\n", - "75% 62.000000 1.000000 0.000000 ... 2.000000 3.000000 0.0\n", - "max 77.000000 1.000000 3.000000 ... 4.000000 3.000000 0.0\n", - "\n", - "[8 rows x 14 columns]" - ] - }, - "metadata": {}, - "execution_count": 9 - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "DbzJPYQV9lPu" - }, - "source": [ - "Assign the 13 features to X, & the last column to our classification predictor, y" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "FjMSVs94960R" - }, - "source": [ - "X = data.iloc[:, :-1].values\n", - "y = data.iloc[:, -1].values" - ], - "execution_count": 10, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "kYwABWTb-AJx" - }, - "source": [ - "Split: the data set into the Training set and Test set" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "DlgSSiYE99tk" - }, - "source": [ - "from sklearn.model_selection import train_test_split\n", - "x_train, x_test, y_train, y_test = train_test_split(X,y,test_size = 0.2, random_state = 1)" - ], - "execution_count": 11, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "MuoZklrK-FJY" - }, - "source": [ - "Normalize: Standardizing the data a mean of 0 and a standard deviation of 1." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "rGfWqZir-LLs" - }, - "source": [ - "from sklearn.preprocessing import StandardScaler\n", - "sc = StandardScaler()\n", - "x_train = sc.fit_transform(x_train)\n", - "x_test = sc.transform(x_test)" - ], - "execution_count": 12, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "CwBqTSrI-WVv" - }, - "source": [ - "Modeling /Training" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "xk0Uem6P-qgq" - }, - "source": [ - "Model: Random Forest\n", - "\n" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "JaSaSKDT-qE-", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "bbcc9de5-0a3e-4a70-9eb9-3530cc7803e0" - }, - "source": [ - "from sklearn.metrics import classification_report \n", - "from sklearn.ensemble import RandomForestClassifier\n", - "\n", - "model3 = RandomForestClassifier(random_state=1)# get instance of model\n", - "model3.fit(x_train, y_train) # Train/Fit model \n", - "\n", - "y_pred3 = model3.predict(x_test) # get y predictions\n", - "print(classification_report(y_test, y_pred3)) # output accuracy" - ], - "execution_count": 13, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - " precision recall f1-score support\n", - "\n", - " 0 0.88 0.70 0.78 30\n", - " 1 0.76 0.90 0.82 31\n", - "\n", - " accuracy 0.80 61\n", - " macro avg 0.82 0.80 0.80 61\n", - "weighted avg 0.81 0.80 0.80 61\n", - "\n" - ] - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "NYkRl2Et-1vo" - }, - "source": [ - "Making the Confusion Matrix" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "qH0hRD8j-3m9", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "f8f38c70-ce4c-4824-9ba3-13d9e6b06f5b" - }, - "source": [ - "from sklearn.metrics import confusion_matrix, accuracy_score\n", - "cm = confusion_matrix(y_test, y_pred3)\n", - "print(cm)\n", - "accuracy_score(y_test, y_pred3)" - ], - "execution_count": 14, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "[[21 9]\n", - " [ 3 28]]\n" - ] - }, - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "0.8032786885245902" - ] - }, - "metadata": {}, - "execution_count": 14 - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "fu7KQOnjzY6g", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "87984799-bb19-4075-de5c-d83033940f4c" - }, - "source": [ - "TN = cm[0][0]\n", - "FN = cm[1][0]\n", - "TP = cm[1][1]\n", - "FP = cm[0][1]\n", - "\n", - "specificity = (TN/TN+FP)\n", - "\n", - "print ('Specificity = ', specificity)" - ], - "execution_count": 15, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Specificity = 10.0\n" - ] - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "Vt5yCe496RoC", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "082a4a24-d607-44b9-d067-f69f77657a84" - }, - "source": [ - "senstivity = (TP/TP+FN)\n", - "\n", - "print ('Senstivity = ', senstivity)" - ], - "execution_count": 16, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Senstivity = 4.0\n" - ] - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "HrNkVFg8-_hj" - }, - "source": [ - "Feature Importance" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "qCRNG8uR-6mX", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "9cbe2af3-6685-4e5e-9c62-6124190834ae" - }, - "source": [ - "# get importance\n", - "importance = model3.feature_importances_\n", - "\n", - "# summarize feature importance\n", - "for i,v in enumerate(importance):\n", - " print('Feature: %0d, Score: %.5f' % (i,v))" - ], - "execution_count": 17, - "outputs": [ - { - "output_type": "stream", - "name": "stdout", - "text": [ - "Feature: 0, Score: 0.07814\n", - "Feature: 1, Score: 0.04206\n", - "Feature: 2, Score: 0.16580\n", - "Feature: 3, Score: 0.07477\n", - "Feature: 4, Score: 0.07587\n", - "Feature: 5, Score: 0.00828\n", - "Feature: 6, Score: 0.02014\n", - "Feature: 7, Score: 0.12772\n", - "Feature: 8, Score: 0.06950\n", - "Feature: 9, Score: 0.09957\n", - "Feature: 10, Score: 0.04677\n", - "Feature: 11, Score: 0.11667\n", - "Feature: 12, Score: 0.07473\n" - ] - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "tUtHmfsu_EOF", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 282 - }, - "outputId": "3ccc0576-c4dd-41ba-e83e-cac8040ced12" - }, - "source": [ - "index= data.columns[:-1]\n", - "importance = pd.Series(model3.feature_importances_, index=index)\n", - "importance.nlargest(13).plot(kind='barh', colormap='winter')" - ], - "execution_count": 18, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "" - ] - }, - "metadata": {}, - "execution_count": 18 - }, - { - "output_type": "display_data", - "data": { - "image/png": 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GmZnl4oRhZma5lJowJF0raa6kpWlaciR9UNKvJc2WdJmkS9L60ZL+S9Kc9DiszNjNzAabsscwPhART0jakqzWxXXA54EDgDVkExUuTG2/AXwtIn4laSfgBmDvMoI2MxuMyk4YZ0o6MS2/HngfMKuzRoakmcAeaftbgLFaP4q9taSREbG29oAuoGRm1hqlJQxJR5ElgUMi4llJtwH303WvYTPg4Ih4flPHjYhpwLTsNdp9PYuZWUHKHMPYBngyJYu9gIOBEcBfSRolaSjw7pr2NwIf73wiaf8+jdbMbJArM2FcDwyVdB9wAXAP8Ajwb2RFku4EVgCrU/szgXZJiyQtA07v84jNzAaxytXD6ByXSD2Ma4DvR8Q1vTmW62GYmfVcf6qHcZ6kBcAS4GHg2pLjMTMzyr9KaiMRcU7ZMZiZ2caq2MMwM7MKcsIwM7NcnDDMzCwXJwwzM8vFCcPMzHKp3FVSRXIBJRusKnZ7lQ0QTfUwJK3tYv10SRObOXaDY57WOdW5mZn1PZ+SMjOzXHInDElnS1qSHmfVbZOkSyQtl3QT8OqabSskXSRpcSqKtFta37AgkqQDJd0tab6kuyTt2SCWd6Q2O/T6nZuZWY/kGsOQNB54P3AQIOBeSbNqmpwI7AmMBXYElgHfr9m+OiL2lTQZ+DrwTrouiHQ/cEREvCTpLWSTEb4ya22qn3E28PaIeLJBrK6HYWbWAnkHvQ8HromIZwAk/TdwRM32I4ErImId8KikW+r2v6Lm59fScsOCSGTTns+QtDsQwOY1xzkGaAeOi4inGwXqehhmZq3RV1dJRYPlhgWR0sD2rRFxoqQ24LaazQ8Cu5BV4fM0tGZmfSjvGMYdwAmShksaQXYK6o6a7bcDkyQNkTQGOLpu/0k1P+9Oy10VRNqGrC4GwGl1x/kt2empH0oalzN2MzMrQK4eRkTMkzSdrLARwPciYn7N6aRryE4XLQN+x/qk0GmUpEXAC8DJad2ZwLfS+qFkSed04CKyU1JTgesaxHK/pPcAMyW9KyIe7Cru8ePB5TDMzIrR8gJKklYA7RGxqqUv1IALKJmZ9Vx/KqBkZmYV1PJB74hoa/VrmJlZ67mHYWZmuThhmJlZLk4YZmaWixOGmZnl4oRhZma5uICSmbWEizgNPO5hmJlZLk4YZmaWS2UThqTJkhZJWijpR5LeJeneVFjpJkk7lh2jmdlgUskxjDQT7VTg0IhYJWk7smnRD46IkPQh4FPAPzXY1wWUzMxaoJIJg2zm25mdExZGxBOS9gWuStOnvwp4uNGOLqBkZtYalT0l1cA3gUsiYl/gI8CwkuMxMxtUqpowbgFOkrQ9QDolVVtY6dSyAjMzG6wqeUoqIpZKOh+YJWkdMB84j6xo0pNkCeUN3R3HBZTMzIpTyYQBEBEzgBl1q39WRixmZlbdU1JmZlYxThhmZpaLE4aZmeXihGFmZrk4YZiZWS5OGGZmlosThpmZ5VLZ+zCK4AJKZgOPCzOVp0c9DEnbSjojLR8l6Rc93H+6pIk92ae3r2VmZsXq6SmpbYEzWhGImZlVW08TxgXArpIWABcDIyVdLel+SZdL2QkgSV+QNEfSEknTOtfX6qqNpN1SgaSFkuZJ2jXt0vC1zMysb/Q0YZwLPBgR+wOfBN4EnAWMBXYBDkvtLomICRGxD7Al8M4Gx+qqzeXAtyJiP+BQ4A9pfVevtQFJUyR1SOqAx3v49szMrCvNXiU1OyJWRsTLwAKgLa0/OpVTXUxWDGlcg303aiNpK+C1EXENQEQ8HxHPdvNaG4iIaRHRHhHtMLrJt2dmZp2avUrqhZrldcBQScOAS4H2iPi9pPOoK3aUp02e12oydjMz64Ge9jDWAFt106bzF/8qSSOBRldFNWwTEWuAlZJOAJC0haThPYzRzMxaoEd/pUfEnyXdKWkJ8BzwWIM2T0m6DFgC/BGY08M27wO+K+lLwIvAST2JsZYLKJmZFUcxgO+CaW9vjw5nDDOzHpE0NxsH3pCnBjEzs1ycMMzMLBcnDDMzy8UJw8zMcnHCMDOzXJwwzMwslwF9t7TrYZjZYNSquyXcwzAzs1ycMMzMLJfKnpKSNBk4BwhgEdmEg88D7cDWwNkR4Sp8ZmZ9pJIJQ9I4YCpwaESskrQd8FWyKc0PBHYFbpW0W0Q8X7fvFGBK9mynPozazGxgq+opqWOAmRGxCiAinkjrfxoRL0fEb4CHgL3qd3Q9DDOz1qhqwuhK/dj/wJ050cysYqqaMG4BTpK0PUA6JUVat1mq870LsLysAM3MBptKjmFExFJJ5wOzJK0D5qdNvwNmkw16n14/fmFmZq1TyYQBEBEzgBmdzyVNB26KiNPzHsMFlMzMilPVU1JmZlYxle1h1IuI08qOwcxsMHMPw8zMchnQNb0lraGaV1LtAKwqO4guVDW2qsYF1Y2tqnFBdWOralzQt7HtHBEb3cjWb05J9dLyRoXMyyapo4pxQXVjq2pcUN3YqhoXVDe2qsYF1YjNp6TMzCwXJwwzM8tloCeMaWUH0IWqxgXVja2qcUF1Y6tqXFDd2KoaF1QgtgE96G1mZsUZ6D0MMzMriBOGmZnl0m8ThqS3SVou6QFJ5zbYvoWkq9L2eyW11Wz7TFq/XNJbqxCXpGMlzZW0OP08psi4momtZvtOktZKOqcqcUl6o6S7JS1Nn92wsuOStLmkGSme+yR9pqiYehDbkZLmSXpJ0sS6badK+k16nFqFuCTtX/PvuEjSpCLjaia2mu1bS1op6ZKqxJX+T96YvmfL6v/PFi4i+t0DGAI8SDbF+auAhcDYujZnAN9Jy38PXJWWx6b2WwBvSMcZUoG43gS8Ji3vAzxSlc+sZvvVwEzgnCrERXYf0SJgv/R8+4r8W54CXJmWhwMrgLY+/szagDcCPwQm1qzfjqz42HbAqLQ8qgJx7QHsnpZfA/wB2LYKn1nN9m8APwEuqUpcwG3AsWl5JDC8qNgaPfprD+NA4IGIeCgi/gJcCRxf1+Z41s92ezXwZklK66+MiBci4mHggXS8UuOKiPkR8WhavxTYUtIWBcXVVGwAkk4AHk6xFamZuI4DFkXEQoCI+HNErKtAXAGMkDQU2BL4C/B0QXHlii0iVkTEIuDlun3fCvwyIp6IiCeBXwJvKzuuiPh1ZJU0Sf8P/kSxJTOb+cyQNB7YEbixwJiaikvSWGBoRPwytVsbEc8WHN8G+mvCeC3w+5rnK9O6hm0i4iVgNdlfoHn2LSOuWu8G5kXECwXF1VRskkYCnwa+WGA8TcdF9ldpSLohddk/VZG4rgaeIfsr+XfAl2N9meG+iq0V+/bJsSUdSPbX9oMFxQVNxCZpM+ArQKGnYpuNi+z7/5Sk/5Y0X9LFkoYUHmGNgT41SL8jaRxwIdlfz1VxHvC1iFibOhxVMRQ4HJgAPAvcLGluRNxcblgcCKwjO7UyCrhD0k0R8VC5YVWfpDHAj4BTI2Kjv/RLcgbwvxGxsoLf/yPITmf/DrgKOA34z1a9YH/tYTwCvL7m+evSuoZt0qmBbYA/59y3jLiQ9DrgGmByRBT511WzsR0EXCRpBXAW8FlJH6tAXCuB2yNiVeqK/y9wQAXiOgW4PiJejIg/AXcCRc4B1Mx3uOzvf5ckbQ1cB3wuIu4pKKYiYjsE+Fj6/n8ZmCzpggrEtRJYkE5nvQRcS3Hf/8ZaOUDSqgdZZn2IbNC6c6BoXF2bj7LhgORP0/I4Nhz0fojiBkqbiWvb1P5vq/aZ1bU5j2IHvZv5zEYB88gGlocCNwHvqEBcnwZ+kJZHAMuAN/blZ1bTdjobD3o/nD67UWl5uwrE9SrgZuCssr7/XcVWt+00ih30buYzG5Laj07PfwB8tBWf3yuv2cqDtzRweDvwa7LznJ9L674E/E1aHkZ2Rc8DZHXAd6nZ93Npv+XAX1chLmAq2XnvBTWPV1chtrpjnEeBCaOAf8v3kg3ELwEuqkJcZFerzExxLQM+WcL3fwLZX6DPkPV6ltbs+4EU8wPA+6sQV/p3fLHu+79/FWKrO8ZpFJgwCvi3PJbsSsHFZAnlVUV/12ofnhrEzMxy6a9jGGZm1secMMzMLBcnDDMzy8UJw8zMcnHCMDOzXJwwzMwsFycMMzPL5f8B3t5xQ4QRNEoAAAAASUVORK5CYII=\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - } - } - ] - } - ] -} \ No newline at end of file From eb6f8533fda58444719fb2300049fd17a16f9048 Mon Sep 17 00:00:00 2001 From: Kainat-Mahar <72600530+Kainat-Mahar@users.noreply.github.com> Date: Fri, 22 Oct 2021 15:28:22 +0500 Subject: [PATCH 064/232] Delete Bitcoin__Price_Prediction.ipynb --- .../Bitcoin__Price_Prediction.ipynb | 1027 ----------------- 1 file changed, 1027 deletions(-) delete mode 100644 Machine Learning/Bitcoin__Price_Prediction.ipynb diff --git a/Machine Learning/Bitcoin__Price_Prediction.ipynb b/Machine Learning/Bitcoin__Price_Prediction.ipynb deleted file mode 100644 index 10cc954..0000000 --- a/Machine Learning/Bitcoin__Price_Prediction.ipynb +++ /dev/null @@ -1,1027 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "name": "Bitcoin _Price_Prediction.ipynb", - "provenance": [], - "collapsed_sections": [] - }, - "kernelspec": { - "name": "python3", - "display_name": "Python 3" - } - }, - "cells": [ - { - "cell_type": "code", - "metadata": { - "id": "FmMO__YhieOb" - }, - "source": [ - "import json\n", - "import requests\n", - "import tensorflow as tf\n", - "from tensorflow import keras\n", - "from tensorflow.keras import layers\n", - "#from tensorflow.contrib import lite\n", - "from keras.models import Sequential\n", - "from keras.layers import Activation, Dense, Dropout, LSTM\n", - "from keras.callbacks import EarlyStopping\n", - "import matplotlib.pyplot as plt\n", - "import plotly.offline as py\n", - "import plotly.graph_objs as go\n", - "import numpy as np\n", - "import pandas as pd\n", - "import seaborn as sns\n", - "from sklearn.metrics import mean_absolute_error\n", - "%matplotlib inline" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "FBVKRHGfigX6" - }, - "source": [ - "endpoint = 'https://min-api.cryptocompare.com/data/histoday'\n", - "res = requests.get(endpoint + '?fsym=BTC&tsym=USD&limit=500')\n", - "data = pd.DataFrame(json.loads(res.content)['Data'])" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "IBY6ytPNik0L", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 227 - }, - "outputId": "9a29c462-99a5-4081-8849-f19db1a131f5" - }, - "source": [ - "data = data.set_index('time')\n", - "data.index = pd.to_datetime(data.index, unit='s')\n", - "data.head(5)" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/html": [ - "
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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "tags": [], - "needs_background": "light" - } - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "KPzobcXnqlyq" - }, - "source": [ - "from sklearn.preprocessing import MinMaxScaler\n", - "scaler=MinMaxScaler(feature_range=(0,1))\n", - "target_col=scaler.fit_transform(np.array(target_col).reshape(-1,1))" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "3ez8_5IvogUP" - }, - "source": [ - "##splitting dataset into train and test split\n", - "training_size=int(len(target_col)*0.80)\n", - "test_size=len(target_col)-training_size\n", - "train_data,test_data=target_col[0:training_size,:],target_col[training_size:len(target_col),:1]" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "FMon8VWLr6jO" - }, - "source": [ - "# convert an array of values into a dataset matrix\n", - "def create_dataset(dataset, time_step=1):\n", - "\tdataX, dataY = [], []\n", - "\tfor i in range(len(dataset)-time_step-1):\n", - "\t\ta = dataset[i:(i+time_step), 0] ###i=0, 0,1,2,3-----99 100 \n", - "\t\tdataX.append(a)\n", - "\t\tdataY.append(dataset[i + time_step, 0])\n", - "\treturn np.array(dataX), np.array(dataY)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "583kizUCsA7u" - }, - "source": [ - "# reshape into X=t,t+1,t+2,t+3 and Y=t+4\n", - "time_step=1\n", - "X_train, y_train = create_dataset(train_data, time_step)\n", - "X_test, ytest = create_dataset(test_data, time_step)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "ePpTIUHOkAt3", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "9700ea2a-1782-4b5b-fc1a-e87a0a881a7e" - }, - "source": [ - "print(X_train.shape), print(y_train.shape)" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "stream", - "text": [ - "(398, 1)\n", - "(398,)\n" - ], - "name": "stdout" - }, - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "(None, None)" - ] - }, - "metadata": { - "tags": [] - }, - "execution_count": 11 - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "CNaEHZOwkIj3", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "33081e98-08c2-44e9-f78b-09776dd0fc6f" - }, - "source": [ - "print(X_test.shape), print(ytest.shape)" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "stream", - "text": [ - "(99, 1)\n", - "(99,)\n" - ], - "name": "stdout" - }, - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "(None, None)" - ] - }, - "metadata": { - "tags": [] - }, - "execution_count": 12 - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "fJ-XaSzikOqB" - }, - "source": [ - "# reshape input to be [samples, time steps, features] which is required for LSTM\n", - "X_train =X_train.reshape(X_train.shape[0],X_train.shape[1] , 1)\n", - "X_test = X_test.reshape(X_test.shape[0],X_test.shape[1] , 1)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "NVGFeeABkYCl" - }, - "source": [ - "model=keras.Sequential()\n", - "model.add(LSTM(500,return_sequences=True,input_shape=(X_train.shape[1], X_train.shape[2])))\n", - "model.add(LSTM(500,return_sequences=True))\n", - "model.add(LSTM(500,return_sequences=False))\n", - "model.add(Dropout(0.2))\n", - "model.add(Activation('sigmoid'))\n", - "model.add(Dense(1))\n", - "#opt = keras.optimizers.Adam(learning_rate=0.01)\n", - "#model.compile(loss='categorical_crossentropy', optimizer=opt, metrics=['mse'])\n", - "model.compile(loss='mean_squared_error',optimizer='adam', metrics=['mae'])" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "xF8-LcpsqMt6", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "5ef342e9-a93f-4a70-9316-72d3a0938303" - }, - "source": [ - "model.summary()" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "stream", - "text": [ - "Model: \"sequential\"\n", - "_________________________________________________________________\n", - "Layer (type) Output Shape Param # \n", - "=================================================================\n", - "lstm (LSTM) (None, 1, 500) 1004000 \n", - "_________________________________________________________________\n", - "lstm_1 (LSTM) (None, 1, 500) 2002000 \n", - "_________________________________________________________________\n", - "lstm_2 (LSTM) (None, 500) 2002000 \n", - "_________________________________________________________________\n", - "dropout (Dropout) (None, 500) 0 \n", - "_________________________________________________________________\n", - "activation (Activation) (None, 500) 0 \n", - "_________________________________________________________________\n", - "dense (Dense) (None, 1) 501 \n", - "=================================================================\n", - "Total params: 5,008,501\n", - "Trainable params: 5,008,501\n", - "Non-trainable params: 0\n", - "_________________________________________________________________\n" - ], - "name": "stdout" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "oLH_xT7qqdpT", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "446bc1f0-ddc3-4a52-c174-15ea63bf63a8" - }, - "source": [ - "history=model.fit(X_train,y_train,validation_data=(X_test,ytest),epochs=20,batch_size=32,verbose=1)" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "stream", - "text": [ - "Epoch 1/20\n", - "13/13 [==============================] - 6s 162ms/step - loss: 0.0422 - mae: 0.1598 - val_loss: 0.3443 - val_mae: 0.5704\n", - "Epoch 2/20\n", - "13/13 [==============================] - 1s 42ms/step - loss: 0.0216 - mae: 0.1215 - val_loss: 0.4032 - val_mae: 0.6202\n", - "Epoch 3/20\n", - "13/13 [==============================] - 1s 42ms/step - loss: 0.0168 - mae: 0.0962 - val_loss: 0.3642 - val_mae: 0.5901\n", - "Epoch 4/20\n", - "13/13 [==============================] - 1s 42ms/step - loss: 0.0096 - mae: 0.0663 - val_loss: 0.1141 - val_mae: 0.3296\n", - "Epoch 5/20\n", - "13/13 [==============================] - 1s 41ms/step - loss: 0.0023 - mae: 0.0315 - val_loss: 0.0232 - val_mae: 0.1477\n", - "Epoch 6/20\n", - "13/13 [==============================] - 1s 43ms/step - loss: 0.0011 - mae: 0.0186 - val_loss: 0.0129 - val_mae: 0.1058\n", - "Epoch 7/20\n", - "13/13 [==============================] - 1s 44ms/step - loss: 3.7233e-04 - mae: 0.0123 - val_loss: 0.0049 - val_mae: 0.0604\n", - "Epoch 8/20\n", - "13/13 [==============================] - 1s 45ms/step - loss: 1.6180e-04 - mae: 0.0084 - val_loss: 0.0041 - val_mae: 0.0538\n", - "Epoch 9/20\n", - "13/13 [==============================] - 1s 43ms/step - loss: 1.6337e-04 - mae: 0.0091 - val_loss: 0.0064 - val_mae: 0.0707\n", - "Epoch 10/20\n", - "13/13 [==============================] - 1s 45ms/step - loss: 1.9074e-04 - mae: 0.0077 - val_loss: 0.0035 - val_mae: 0.0487\n", - "Epoch 11/20\n", - "13/13 [==============================] - 1s 41ms/step - loss: 1.1686e-04 - mae: 0.0067 - val_loss: 0.0044 - val_mae: 0.0561\n", - "Epoch 12/20\n", - "13/13 [==============================] - 1s 41ms/step - loss: 1.7812e-04 - mae: 0.0083 - val_loss: 0.0033 - val_mae: 0.0474\n", - "Epoch 13/20\n", - "13/13 [==============================] - 1s 42ms/step - loss: 1.6930e-04 - mae: 0.0077 - val_loss: 0.0055 - val_mae: 0.0643\n", - "Epoch 14/20\n", - "13/13 [==============================] - 1s 42ms/step - loss: 1.1692e-04 - mae: 0.0069 - val_loss: 0.0028 - val_mae: 0.0425\n", - "Epoch 15/20\n", - "13/13 [==============================] - 1s 42ms/step - loss: 1.2750e-04 - mae: 0.0074 - val_loss: 0.0043 - val_mae: 0.0553\n", - "Epoch 16/20\n", - "13/13 [==============================] - 1s 41ms/step - loss: 1.9787e-04 - mae: 0.0098 - val_loss: 0.0059 - val_mae: 0.0675\n", - "Epoch 17/20\n", - "13/13 [==============================] - 1s 41ms/step - loss: 2.1901e-04 - mae: 0.0115 - val_loss: 0.0030 - val_mae: 0.0441\n", - "Epoch 18/20\n", - "13/13 [==============================] - 1s 42ms/step - loss: 1.0347e-04 - mae: 0.0061 - val_loss: 0.0027 - val_mae: 0.0419\n", - "Epoch 19/20\n", - "13/13 [==============================] - 1s 41ms/step - loss: 1.2707e-04 - mae: 0.0068 - val_loss: 0.0032 - val_mae: 0.0466\n", - "Epoch 20/20\n", - "13/13 [==============================] - 1s 42ms/step - loss: 1.6478e-04 - mae: 0.0088 - val_loss: 0.0037 - val_mae: 0.0503\n" - ], - "name": "stdout" - } - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "2-RCPm8wjBUb", - "colab": { - "base_uri": "https://localhost:8080/" - }, - "outputId": "bdbb3f64-e100-4436-d95d-169bc0e13d50" - }, - "source": [ - "history.history['loss']" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "[0.03191959112882614,\n", - " 0.018243372440338135,\n", - " 0.014717623591423035,\n", - " 0.009163795970380306,\n", - " 0.0015256005572155118,\n", - " 0.0005994651583023369,\n", - " 0.0002838505315594375,\n", - 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" y = history.history['val_loss'],\n", - " mode = 'lines',\n", - " name = 'Test loss',\n", - " line = dict(color=('rgb(1, 0, 255)'), width=2)\n", - ")\n", - "\n", - "data = [trace1, trace2]\n", - "layout = go.Layout(\n", - " autosize=False,\n", - " width=750,\n", - " height=600,\n", - "\n", - " title = 'Train and Test Loss during training',\n", - " xaxis= go.layout.XAxis(linecolor = 'black',\n", - " linewidth = 1,\n", - " mirror = True,\n", - " title = \"Epoch number\",\n", - " color = 'black'\n", - " ),\n", - "\n", - " yaxis= go.layout.YAxis(linecolor = 'red',\n", - " linewidth = 1,\n", - " mirror = True,\n", - " title = \"Loss\",\n", - " color = 'black'),\n", - "\n", - " margin=go.layout.Margin(\n", - " l=50,\n", - " r=50,\n", - " b=100,\n", - " t=100,\n", - " pad = 4\n", - " )\n", - ")\n", - "\n", - "fig = go.Figure(data=data, layout=layout)\n", - "py.iplot(fig, filename='training_process')" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "text/html": [ - "\n", - "\n", - "\n", - "
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" - ] - }, - "metadata": { - "tags": [] - } - } - ] - } - ] -} \ No newline at end of file From f78413e22e2c6e1043ce55485d1b4a384548c4da Mon Sep 17 00:00:00 2001 From: Bilal Ahmad <50988601+billypentester@users.noreply.github.com> Date: Fri, 22 Oct 2021 17:57:25 +0500 Subject: [PATCH 065/232] create alphabhet_short.js --- Javascript/short_alpha.js | 4 ++++ 1 file changed, 4 insertions(+) create mode 100644 Javascript/short_alpha.js diff --git a/Javascript/short_alpha.js b/Javascript/short_alpha.js new file mode 100644 index 0000000..3151fde --- /dev/null +++ b/Javascript/short_alpha.js @@ -0,0 +1,4 @@ +const sortCharactersInString = str => + [...str].sort((a, b) => a.localeCompare(b)).join(''); + +console.log(sortCharactersInString('cabbage')); From 970fce93c7445e44b9965f99e204bb972b6bad1d Mon Sep 17 00:00:00 2001 From: Bilal Ahmad <50988601+billypentester@users.noreply.github.com> Date: Fri, 22 Oct 2021 17:59:03 +0500 Subject: [PATCH 066/232] count vowel.js --- Javascript/count.js | 7 +++++++ 1 file changed, 7 insertions(+) create mode 100644 Javascript/count.js diff --git a/Javascript/count.js b/Javascript/count.js new file mode 100644 index 0000000..c90ddb0 --- /dev/null +++ b/Javascript/count.js @@ -0,0 +1,7 @@ +function vowel_count(str) { + + return str.match(/[aeiou]/gi).length; + +} + +console.log(vowel_count('The quick brown fox jumps over the lazy dog')); From 14e6b521fbc1427011e5d0f373045c943985a05f Mon Sep 17 00:00:00 2001 From: Kainat-Mahar <72600530+Kainat-Mahar@users.noreply.github.com> Date: Fri, 22 Oct 2021 19:15:10 +0500 Subject: [PATCH 067/232] Add files via upload --- ...cation_using_Random_Forest_Algorithm.ipynb | 1355 +++++++++++++++++ 1 file changed, 1355 insertions(+) create mode 100644 Data Science/Classification_using_Random_Forest_Algorithm.ipynb diff --git a/Data Science/Classification_using_Random_Forest_Algorithm.ipynb b/Data Science/Classification_using_Random_Forest_Algorithm.ipynb new file mode 100644 index 0000000..ef5e38c --- /dev/null +++ b/Data Science/Classification_using_Random_Forest_Algorithm.ipynb @@ -0,0 +1,1355 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "Classification using Random Forest Algorithm.ipynb", + "provenance": [], + "collapsed_sections": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "HbbGwEA47kDj" + }, + "source": [ + "Importing Libraries" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "roYk-Q3s6yVd" + }, + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib as plt\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt" + ], + "execution_count": 1, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7v8I08N58jcA" + }, + "source": [ + "Data Wrangling" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Ttq0PCrZ8i_d", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 202 + }, + "outputId": "d2a6d459-e354-475f-d2c5-ef08982f82d0" + }, + "source": [ + "data = pd.read_csv('dataset.csv')\n", + "\n", + "data.head(5)" + ], + "execution_count": 2, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " age sex cp trestbps chol fbs ... exang oldpeak slope ca thal target\n", + "0 63 1 3 145 233 1 ... 0 2.3 0 0 1 1\n", + "1 37 1 2 130 250 0 ... 0 3.5 0 0 2 1\n", + "2 41 0 1 130 204 0 ... 0 1.4 2 0 2 1\n", + "3 56 1 1 120 236 0 ... 0 0.8 2 0 2 1\n", + "4 57 0 0 120 354 0 ... 1 0.6 2 0 2 1\n", + "\n", + "[5 rows x 14 columns]" + ] + }, + "metadata": {}, + "execution_count": 2 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "8PJwi9rc8tp-", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "4e8f191b-6599-496e-b97b-8fcbedbc7b22" + }, + "source": [ + "print(\"(Rows, columns): \" + str(data.shape))\n", + "data.columns " + ], + "execution_count": 3, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "(Rows, columns): (303, 14)\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Index(['age', 'sex', 'cp', 'trestbps', 'chol', 'fbs', 'restecg', 'thalach',\n", + " 'exang', 'oldpeak', 'slope', 'ca', 'thal', 'target'],\n", + " dtype='object')" + ] + }, + "metadata": {}, + "execution_count": 3 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "PxY79ivL80gB", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "73b9d73d-e643-4602-ac52-c8df5d5a8413" + }, + "source": [ + "data.nunique(axis=0)# returns the number of unique values for each variable." + ], + "execution_count": 4, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "age 41\n", + "sex 2\n", + "cp 4\n", + "trestbps 49\n", + "chol 152\n", + "fbs 2\n", + "restecg 3\n", + "thalach 91\n", + "exang 2\n", + "oldpeak 40\n", + "slope 3\n", + "ca 5\n", + "thal 4\n", + "target 2\n", + "dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "wn63NFgG88dd", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 477 + }, + "outputId": "83fe2164-71d8-438a-f38f-6076eb0512c6" + }, + "source": [ + "#summarizes the count, mean, standard deviation, min, and max for numeric variables.\n", + "data.describe().transpose()" + ], + "execution_count": 5, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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countmeanstdmin25%50%75%max
age303.054.3663379.08210129.047.555.061.077.0
sex303.00.6831680.4660110.00.01.01.01.0
cp303.00.9669971.0320520.00.01.02.03.0
trestbps303.0131.62376217.53814394.0120.0130.0140.0200.0
chol303.0246.26402651.830751126.0211.0240.0274.5564.0
fbs303.00.1485150.3561980.00.00.00.01.0
restecg303.00.5280530.5258600.00.01.01.02.0
thalach303.0149.64686522.90516171.0133.5153.0166.0202.0
exang303.00.3267330.4697940.00.00.01.01.0
oldpeak303.01.0396041.1610750.00.00.81.66.2
slope303.01.3993400.6162260.01.01.02.02.0
ca303.00.7293731.0226060.00.00.01.04.0
thal303.02.3135310.6122770.02.02.03.03.0
target303.00.5445540.4988350.00.01.01.01.0
\n", + "
" + ], + "text/plain": [ + " count mean std min 25% 50% 75% max\n", + "age 303.0 54.366337 9.082101 29.0 47.5 55.0 61.0 77.0\n", + "sex 303.0 0.683168 0.466011 0.0 0.0 1.0 1.0 1.0\n", + "cp 303.0 0.966997 1.032052 0.0 0.0 1.0 2.0 3.0\n", + "trestbps 303.0 131.623762 17.538143 94.0 120.0 130.0 140.0 200.0\n", + "chol 303.0 246.264026 51.830751 126.0 211.0 240.0 274.5 564.0\n", + "fbs 303.0 0.148515 0.356198 0.0 0.0 0.0 0.0 1.0\n", + "restecg 303.0 0.528053 0.525860 0.0 0.0 1.0 1.0 2.0\n", + "thalach 303.0 149.646865 22.905161 71.0 133.5 153.0 166.0 202.0\n", + "exang 303.0 0.326733 0.469794 0.0 0.0 0.0 1.0 1.0\n", + "oldpeak 303.0 1.039604 1.161075 0.0 0.0 0.8 1.6 6.2\n", + "slope 303.0 1.399340 0.616226 0.0 1.0 1.0 2.0 2.0\n", + "ca 303.0 0.729373 1.022606 0.0 0.0 0.0 1.0 4.0\n", + "thal 303.0 2.313531 0.612277 0.0 2.0 2.0 3.0 3.0\n", + "target 303.0 0.544554 0.498835 0.0 0.0 1.0 1.0 1.0" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "a6ushlSP9EJP", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "366a429a-9d57-4ea8-bc8d-b51b0baf45fc" + }, + "source": [ + "# Display the Missing Values\n", + "\n", + "print(data.isna().sum())" + ], + "execution_count": 6, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "age 0\n", + "sex 0\n", + "cp 0\n", + "trestbps 0\n", + "chol 0\n", + "fbs 0\n", + "restecg 0\n", + "thalach 0\n", + "exang 0\n", + "oldpeak 0\n", + "slope 0\n", + "ca 0\n", + "thal 0\n", + "target 0\n", + "dtype: int64\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "IXOMCsIl9JpJ", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 612 + }, + "outputId": "7b01ed95-db2a-435c-f6e5-c8423976082c" + }, + "source": [ + "# calculate correlation matrix\n", + "\n", + "corr = data.corr()\n", + "plt.subplots(figsize=(15,10))\n", + "sns.heatmap(corr, xticklabels=corr.columns, yticklabels=corr.columns, annot=True, cmap=sns.diverging_palette(220, 20, as_cmap=True))\n", + "sns.heatmap(corr, xticklabels=corr.columns,\n", + " yticklabels=corr.columns, \n", + " annot=True,\n", + " cmap=sns.diverging_palette(220, 20, as_cmap=True))" + ], + "execution_count": 7, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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" + ], + "text/plain": [ + " age sex cp ... ca thal target\n", + "count 165.000000 165.000000 165.000000 ... 165.000000 165.000000 165.0\n", + "mean 52.496970 0.563636 1.375758 ... 0.363636 2.121212 1.0\n", + "std 9.550651 0.497444 0.952222 ... 0.848894 0.465752 0.0\n", + "min 29.000000 0.000000 0.000000 ... 0.000000 0.000000 1.0\n", + "25% 44.000000 0.000000 1.000000 ... 0.000000 2.000000 1.0\n", + "50% 52.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", + "75% 59.000000 1.000000 2.000000 ... 0.000000 2.000000 1.0\n", + "max 76.000000 1.000000 3.000000 ... 4.000000 3.000000 1.0\n", + "\n", + "[8 rows x 14 columns]" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "iNdi8cwN9wmU", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 314 + }, + "outputId": "1e819b7f-f8cc-4418-f4f7-d5c8c010c77e" + }, + "source": [ + "# Filtering data by NEGATIVE Heart Disease patient\n", + "pos_data = data[data['target']==0]\n", + "pos_data.describe()" + ], + "execution_count": 9, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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mean56.6014490.8260870.478261134.398551251.0869570.1594200.449275139.1014490.5507251.5855071.1666671.1666672.5434780.0
std7.9620820.3804160.90592018.72994449.4546140.3674010.54132122.5987820.4992321.3003400.5613241.0434600.6847620.0
min35.0000000.0000000.000000100.000000131.0000000.0000000.00000071.0000000.0000000.0000000.0000000.0000000.0000000.0
25%52.0000001.0000000.000000120.000000217.2500000.0000000.000000125.0000000.0000000.6000001.0000000.0000002.0000000.0
50%58.0000001.0000000.000000130.000000249.0000000.0000000.000000142.0000001.0000001.4000001.0000001.0000003.0000000.0
75%62.0000001.0000000.000000144.750000283.0000000.0000001.000000156.0000001.0000002.5000001.7500002.0000003.0000000.0
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" + ], + "text/plain": [ + " age sex cp ... ca thal target\n", + "count 138.000000 138.000000 138.000000 ... 138.000000 138.000000 138.0\n", + "mean 56.601449 0.826087 0.478261 ... 1.166667 2.543478 0.0\n", + "std 7.962082 0.380416 0.905920 ... 1.043460 0.684762 0.0\n", + "min 35.000000 0.000000 0.000000 ... 0.000000 0.000000 0.0\n", + "25% 52.000000 1.000000 0.000000 ... 0.000000 2.000000 0.0\n", + "50% 58.000000 1.000000 0.000000 ... 1.000000 3.000000 0.0\n", + "75% 62.000000 1.000000 0.000000 ... 2.000000 3.000000 0.0\n", + "max 77.000000 1.000000 3.000000 ... 4.000000 3.000000 0.0\n", + "\n", + "[8 rows x 14 columns]" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "DbzJPYQV9lPu" + }, + "source": [ + "Assign the 13 features to X, & the last column to our classification predictor, y" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "FjMSVs94960R" + }, + "source": [ + "X = data.iloc[:, :-1].values\n", + "y = data.iloc[:, -1].values" + ], + "execution_count": 10, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "kYwABWTb-AJx" + }, + "source": [ + "Split: the data set into the Training set and Test set" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "DlgSSiYE99tk" + }, + "source": [ + "from sklearn.model_selection import train_test_split\n", + "x_train, x_test, y_train, y_test = train_test_split(X,y,test_size = 0.2, random_state = 1)" + ], + "execution_count": 11, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "MuoZklrK-FJY" + }, + "source": [ + "Normalize: Standardizing the data a mean of 0 and a standard deviation of 1." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "rGfWqZir-LLs" + }, + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "sc = StandardScaler()\n", + "x_train = sc.fit_transform(x_train)\n", + "x_test = sc.transform(x_test)" + ], + "execution_count": 12, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "CwBqTSrI-WVv" + }, + "source": [ + "Modeling /Training" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "xk0Uem6P-qgq" + }, + "source": [ + "Model: Random Forest\n", + "\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "JaSaSKDT-qE-", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "bbcc9de5-0a3e-4a70-9eb9-3530cc7803e0" + }, + "source": [ + "from sklearn.metrics import classification_report \n", + "from sklearn.ensemble import RandomForestClassifier\n", + "\n", + "model3 = RandomForestClassifier(random_state=1)# get instance of model\n", + "model3.fit(x_train, y_train) # Train/Fit model \n", + "\n", + "y_pred3 = model3.predict(x_test) # get y predictions\n", + "print(classification_report(y_test, y_pred3)) # output accuracy" + ], + "execution_count": 13, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + " precision recall f1-score support\n", + "\n", + " 0 0.88 0.70 0.78 30\n", + " 1 0.76 0.90 0.82 31\n", + "\n", + " accuracy 0.80 61\n", + " macro avg 0.82 0.80 0.80 61\n", + "weighted avg 0.81 0.80 0.80 61\n", + "\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "NYkRl2Et-1vo" + }, + "source": [ + "Making the Confusion Matrix" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "qH0hRD8j-3m9", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "f8f38c70-ce4c-4824-9ba3-13d9e6b06f5b" + }, + "source": [ + "from sklearn.metrics import confusion_matrix, accuracy_score\n", + "cm = confusion_matrix(y_test, y_pred3)\n", + "print(cm)\n", + "accuracy_score(y_test, y_pred3)" + ], + "execution_count": 14, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[[21 9]\n", + " [ 3 28]]\n" + ] + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0.8032786885245902" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "fu7KQOnjzY6g", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "87984799-bb19-4075-de5c-d83033940f4c" + }, + "source": [ + "TN = cm[0][0]\n", + "FN = cm[1][0]\n", + "TP = cm[1][1]\n", + "FP = cm[0][1]\n", + "\n", + "specificity = (TN/TN+FP)\n", + "\n", + "print ('Specificity = ', specificity)" + ], + "execution_count": 15, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Specificity = 10.0\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "Vt5yCe496RoC", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "082a4a24-d607-44b9-d067-f69f77657a84" + }, + "source": [ + "senstivity = (TP/TP+FN)\n", + "\n", + "print ('Senstivity = ', senstivity)" + ], + "execution_count": 16, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Senstivity = 4.0\n" + ] + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "HrNkVFg8-_hj" + }, + "source": [ + "Feature Importance" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "qCRNG8uR-6mX", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9cbe2af3-6685-4e5e-9c62-6124190834ae" + }, + "source": [ + "# get importance\n", + "importance = model3.feature_importances_\n", + "\n", + "# summarize feature importance\n", + "for i,v in enumerate(importance):\n", + " print('Feature: %0d, Score: %.5f' % (i,v))" + ], + "execution_count": 17, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "Feature: 0, Score: 0.07814\n", + "Feature: 1, Score: 0.04206\n", + "Feature: 2, Score: 0.16580\n", + "Feature: 3, Score: 0.07477\n", + "Feature: 4, Score: 0.07587\n", + "Feature: 5, Score: 0.00828\n", + "Feature: 6, Score: 0.02014\n", + "Feature: 7, Score: 0.12772\n", + "Feature: 8, Score: 0.06950\n", + "Feature: 9, Score: 0.09957\n", + "Feature: 10, Score: 0.04677\n", + "Feature: 11, Score: 0.11667\n", + "Feature: 12, Score: 0.07473\n" + ] + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "tUtHmfsu_EOF", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 282 + }, + "outputId": "3ccc0576-c4dd-41ba-e83e-cac8040ced12" + }, + "source": [ + "index= data.columns[:-1]\n", + "importance = pd.Series(model3.feature_importances_, index=index)\n", + "importance.nlargest(13).plot(kind='barh', colormap='winter')" + ], + "execution_count": 18, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 18 + }, + { + "output_type": "display_data", + "data": { + "image/png": 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GmZnl4oRhZma5lJowJF0raa6kpWlaciR9UNKvJc2WdJmkS9L60ZL+S9Kc9DiszNjNzAabsscwPhART0jakqzWxXXA54EDgDVkExUuTG2/AXwtIn4laSfgBmDvMoI2MxuMyk4YZ0o6MS2/HngfMKuzRoakmcAeaftbgLFaP4q9taSREbG29oAuoGRm1hqlJQxJR5ElgUMi4llJtwH303WvYTPg4Ih4flPHjYhpwLTsNdp9PYuZWUHKHMPYBngyJYu9gIOBEcBfSRolaSjw7pr2NwIf73wiaf8+jdbMbJArM2FcDwyVdB9wAXAP8Ajwb2RFku4EVgCrU/szgXZJiyQtA07v84jNzAaxytXD6ByXSD2Ma4DvR8Q1vTmW62GYmfVcf6qHcZ6kBcAS4GHg2pLjMTMzyr9KaiMRcU7ZMZiZ2caq2MMwM7MKcsIwM7NcnDDMzCwXJwwzM8vFCcPMzHKp3FVSRXIBJRusKnZ7lQ0QTfUwJK3tYv10SRObOXaDY57WOdW5mZn1PZ+SMjOzXHInDElnS1qSHmfVbZOkSyQtl3QT8OqabSskXSRpcSqKtFta37AgkqQDJd0tab6kuyTt2SCWd6Q2O/T6nZuZWY/kGsOQNB54P3AQIOBeSbNqmpwI7AmMBXYElgHfr9m+OiL2lTQZ+DrwTrouiHQ/cEREvCTpLWSTEb4ya22qn3E28PaIeLJBrK6HYWbWAnkHvQ8HromIZwAk/TdwRM32I4ErImId8KikW+r2v6Lm59fScsOCSGTTns+QtDsQwOY1xzkGaAeOi4inGwXqehhmZq3RV1dJRYPlhgWR0sD2rRFxoqQ24LaazQ8Cu5BV4fM0tGZmfSjvGMYdwAmShksaQXYK6o6a7bcDkyQNkTQGOLpu/0k1P+9Oy10VRNqGrC4GwGl1x/kt2empH0oalzN2MzMrQK4eRkTMkzSdrLARwPciYn7N6aRryE4XLQN+x/qk0GmUpEXAC8DJad2ZwLfS+qFkSed04CKyU1JTgesaxHK/pPcAMyW9KyIe7Cru8ePB5TDMzIrR8gJKklYA7RGxqqUv1IALKJmZ9Vx/KqBkZmYV1PJB74hoa/VrmJlZ67mHYWZmuThhmJlZLk4YZmaWixOGmZnl4oRhZma5uICSmbWEizgNPO5hmJlZLk4YZmaWS2UThqTJkhZJWijpR5LeJeneVFjpJkk7lh2jmdlgUskxjDQT7VTg0IhYJWk7smnRD46IkPQh4FPAPzXY1wWUzMxaoJIJg2zm25mdExZGxBOS9gWuStOnvwp4uNGOLqBkZtYalT0l1cA3gUsiYl/gI8CwkuMxMxtUqpowbgFOkrQ9QDolVVtY6dSyAjMzG6wqeUoqIpZKOh+YJWkdMB84j6xo0pNkCeUN3R3HBZTMzIpTyYQBEBEzgBl1q39WRixmZlbdU1JmZlYxThhmZpaLE4aZmeXihGFmZrk4YZiZWS5OGGZmlosThpmZ5VLZ+zCK4AJKZgOPCzOVp0c9DEnbSjojLR8l6Rc93H+6pIk92ae3r2VmZsXq6SmpbYEzWhGImZlVW08TxgXArpIWABcDIyVdLel+SZdL2QkgSV+QNEfSEknTOtfX6qqNpN1SgaSFkuZJ2jXt0vC1zMysb/Q0YZwLPBgR+wOfBN4EnAWMBXYBDkvtLomICRGxD7Al8M4Gx+qqzeXAtyJiP+BQ4A9pfVevtQFJUyR1SOqAx3v49szMrCvNXiU1OyJWRsTLwAKgLa0/OpVTXUxWDGlcg303aiNpK+C1EXENQEQ8HxHPdvNaG4iIaRHRHhHtMLrJt2dmZp2avUrqhZrldcBQScOAS4H2iPi9pPOoK3aUp02e12oydjMz64Ge9jDWAFt106bzF/8qSSOBRldFNWwTEWuAlZJOAJC0haThPYzRzMxaoEd/pUfEnyXdKWkJ8BzwWIM2T0m6DFgC/BGY08M27wO+K+lLwIvAST2JsZYLKJmZFUcxgO+CaW9vjw5nDDOzHpE0NxsH3pCnBjEzs1ycMMzMLBcnDDMzy8UJw8zMcnHCMDOzXJwwzMwslwF9t7TrYZjZYNSquyXcwzAzs1ycMMzMLJfKnpKSNBk4BwhgEdmEg88D7cDWwNkR4Sp8ZmZ9pJIJQ9I4YCpwaESskrQd8FWyKc0PBHYFbpW0W0Q8X7fvFGBK9mynPozazGxgq+opqWOAmRGxCiAinkjrfxoRL0fEb4CHgL3qd3Q9DDOz1qhqwuhK/dj/wJ050cysYqqaMG4BTpK0PUA6JUVat1mq870LsLysAM3MBptKjmFExFJJ5wOzJK0D5qdNvwNmkw16n14/fmFmZq1TyYQBEBEzgBmdzyVNB26KiNPzHsMFlMzMilPVU1JmZlYxle1h1IuI08qOwcxsMHMPw8zMchnQNb0lraGaV1LtAKwqO4guVDW2qsYF1Y2tqnFBdWOralzQt7HtHBEb3cjWb05J9dLyRoXMyyapo4pxQXVjq2pcUN3YqhoXVDe2qsYF1YjNp6TMzCwXJwwzM8tloCeMaWUH0IWqxgXVja2qcUF1Y6tqXFDd2KoaF1QgtgE96G1mZsUZ6D0MMzMriBOGmZnl0m8ThqS3SVou6QFJ5zbYvoWkq9L2eyW11Wz7TFq/XNJbqxCXpGMlzZW0OP08psi4momtZvtOktZKOqcqcUl6o6S7JS1Nn92wsuOStLmkGSme+yR9pqiYehDbkZLmSXpJ0sS6badK+k16nFqFuCTtX/PvuEjSpCLjaia2mu1bS1op6ZKqxJX+T96YvmfL6v/PFi4i+t0DGAI8SDbF+auAhcDYujZnAN9Jy38PXJWWx6b2WwBvSMcZUoG43gS8Ji3vAzxSlc+sZvvVwEzgnCrERXYf0SJgv/R8+4r8W54CXJmWhwMrgLY+/szagDcCPwQm1qzfjqz42HbAqLQ8qgJx7QHsnpZfA/wB2LYKn1nN9m8APwEuqUpcwG3AsWl5JDC8qNgaPfprD+NA4IGIeCgi/gJcCRxf1+Z41s92ezXwZklK66+MiBci4mHggXS8UuOKiPkR8WhavxTYUtIWBcXVVGwAkk4AHk6xFamZuI4DFkXEQoCI+HNErKtAXAGMkDQU2BL4C/B0QXHlii0iVkTEIuDlun3fCvwyIp6IiCeBXwJvKzuuiPh1ZJU0Sf8P/kSxJTOb+cyQNB7YEbixwJiaikvSWGBoRPwytVsbEc8WHN8G+mvCeC3w+5rnK9O6hm0i4iVgNdlfoHn2LSOuWu8G5kXECwXF1VRskkYCnwa+WGA8TcdF9ldpSLohddk/VZG4rgaeIfsr+XfAl2N9meG+iq0V+/bJsSUdSPbX9oMFxQVNxCZpM+ArQKGnYpuNi+z7/5Sk/5Y0X9LFkoYUHmGNgT41SL8jaRxwIdlfz1VxHvC1iFibOhxVMRQ4HJgAPAvcLGluRNxcblgcCKwjO7UyCrhD0k0R8VC5YVWfpDHAj4BTI2Kjv/RLcgbwvxGxsoLf/yPITmf/DrgKOA34z1a9YH/tYTwCvL7m+evSuoZt0qmBbYA/59y3jLiQ9DrgGmByRBT511WzsR0EXCRpBXAW8FlJH6tAXCuB2yNiVeqK/y9wQAXiOgW4PiJejIg/AXcCRc4B1Mx3uOzvf5ckbQ1cB3wuIu4pKKYiYjsE+Fj6/n8ZmCzpggrEtRJYkE5nvQRcS3Hf/8ZaOUDSqgdZZn2IbNC6c6BoXF2bj7LhgORP0/I4Nhz0fojiBkqbiWvb1P5vq/aZ1bU5j2IHvZv5zEYB88gGlocCNwHvqEBcnwZ+kJZHAMuAN/blZ1bTdjobD3o/nD67UWl5uwrE9SrgZuCssr7/XcVWt+00ih30buYzG5Laj07PfwB8tBWf3yuv2cqDtzRweDvwa7LznJ9L674E/E1aHkZ2Rc8DZHXAd6nZ93Npv+XAX1chLmAq2XnvBTWPV1chtrpjnEeBCaOAf8v3kg3ELwEuqkJcZFerzExxLQM+WcL3fwLZX6DPkPV6ltbs+4EU8wPA+6sQV/p3fLHu+79/FWKrO8ZpFJgwCvi3PJbsSsHFZAnlVUV/12ofnhrEzMxy6a9jGGZm1secMMzMLBcnDDMzy8UJw8zMcnHCMDOzXJwwzMwsFycMMzPL5f8B3t5xQ4QRNEoAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + } + } + ] + } + ] +} \ No newline at end of file From 51c267d259f85589550a9ab97f94a001ef90c216 Mon Sep 17 00:00:00 2001 From: Jagrit <69034224+jagritvats@users.noreply.github.com> Date: Fri, 22 Oct 2021 21:14:39 +0530 Subject: [PATCH 068/232] Create insertionSort.cpp --- C++/insertionSort.cpp | 64 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 64 insertions(+) create mode 100644 C++/insertionSort.cpp diff --git a/C++/insertionSort.cpp b/C++/insertionSort.cpp new file mode 100644 index 0000000..dc9a565 --- /dev/null +++ b/C++/insertionSort.cpp @@ -0,0 +1,64 @@ +#include +using namespace std; + +// Method to print the elements of the array +void displayArr(int a[], int n) +{ + for (int i = 0; i < n; i++) + { + cout << a[i] << " "; + } + cout << endl; +} + +void insertionSort(int a[], int n) +{ + for (int i = 1; i < n; i++) + { + int j = i - 1; + int ele = a[i]; + while (j >= 0 && a[j] > ele) + { + a[j + 1] = a[j]; + j--; + } + a[j + 1] = ele; + } +} + +int main() +{ + // Input the size and elements of array + int n; + cin >> n; + int a[n]; + int x = 0; + while (x < n) + { + cin >> a[x]; + x++; + } + + int flag = 0; + for (int i = 0; i < n - 1; ++i) + { + if (a[i + 1] < a[i]) + { + flag = 1; + break; + } + } + + if (flag == 1) + { + cout << "\nSorted Array: "; + insertionSort(a, n); + } + else + { + cout << "\nData is already sorted: "; + } + + // Display the Final Array + displayArr(a, n); +} From 6b46867e0e17176efeb79a511e5a4902258597da Mon Sep 17 00:00:00 2001 From: RizwanAmjad Date: Sat, 23 Oct 2021 07:29:07 +0500 Subject: [PATCH 069/232] Added: Two new Algorithms Min Max Algorithm and Alfabeta pruning --- Python/AlfaBetaPruning.py | 159 ++++++++++++++++++++++++++++++++++++++ Python/MinMax.py | 131 +++++++++++++++++++++++++++++++ 2 files changed, 290 insertions(+) create mode 100644 Python/AlfaBetaPruning.py create mode 100644 Python/MinMax.py diff --git a/Python/AlfaBetaPruning.py b/Python/AlfaBetaPruning.py new file mode 100644 index 0000000..612f33d --- /dev/null +++ b/Python/AlfaBetaPruning.py @@ -0,0 +1,159 @@ +import math + + +class Problem: + + def __init__(self): + # it a tree that is represented in the form of nested dictionary + # where every key represents a node having child and last nodes + # without child are represented in a list + + """self.tree = { + 'A': { + 'B': { + 'D': + [3, 8] + , + 'E': + [6, 4] + + }, + 'C': { + 'F': + [2, 3] + , + 'G': + [1, 2] + + } + } + }""" + # Second symmetrical tree with each node having 3 children + '''self.tree = { + 'A': { + 'B': { + 'E':[3, 8, 4] + , + 'F':[6, 4, 1] + , + 'G':[1, 2,-1] + + + }, + 'C': { + 'H':[2, 3, 5] + , + 'I':[1, 2, 0] + , + 'J':[8, 2, 4] + + + }, + 'D': { + 'K':[2, 3, 5] + , + 'L':[1, 2, 7] + , + 'M':[5, 4, 9] + + + } + } + }''' + # third unsymmetrical tree with different number of children + # that looks like this + # A + # / \ + # B C + # / \ / | \ + # D E F G H + # | /\ | / \ / | \ + # 5 3 6 9 2 0 9 8 4 + self.tree = { + 'A': { + 'B': { + 'D': [5] + , + 'E': [3, 6] + }, + 'C': { + 'F': [9] + , + 'G': [2, 0] + , + 'H': [9, 8, 4] + + } + } + } + + def apply_alpha_beta_pruning(self, current_subtree=None, min_max_chose=max, alpha=-math.inf, beta=math.inf): + """ + Recursive function that gets a tree stored as dictionary + and calls itself recursively to apply min max on the sub-tree + on each recursive call it gets back an integer value that tree should have on each node. + Each node is represented by a recursive scope + + :param current_subtree: type dict + :param min_max_chose: is a function default value is max. + :param alpha: int value of alpha default -inf + :param beta: int value of alpha default +inf + :return: an int + """ + + if current_subtree is None: + current_subtree = self.tree + print('Alpha Beta Pruning Started') + # list that contains integers that are returned from next recursive scope. + # is a min or max of child nodes. + returned_values = list() + # min_max_chose stores a function that alternates in every scope (has min and max values only) + # in one scope it is min and in next scope it is max + + # inverting min_max_chose because it will apply on child scope or nodes + min_max_chose = max if min_max_chose == min else min + # base condition where node does not have further children and is represented as a list + if type(current_subtree) == list: + values = list() + # iterating over the values of child nodes to update value of alpha and beta since this is last node + for value in current_subtree: + values.append(value) + if min_max_chose == max: + alpha = max([alpha, value]) + elif min_max_chose == min: + beta = min([beta, value]) + # print(f"Currently alpha={alpha}, beta={beta}") + # condition for pruning + if beta <= alpha: + print(f"Pruned alpha {alpha}, beta {beta}") + break + + return min_max_chose(values) + # available_keys has values of all available keys i-e child node + available_keys = current_subtree.keys() + # we iterate over these keys to get child subtrees + for key in available_keys: + value = self.apply_alpha_beta_pruning(current_subtree[key], min_max_chose, alpha, beta) + returned_values.append(value) + if min_max_chose == max: + alpha = max([alpha, value]) + elif min_max_chose == min: + beta = min([beta, value]) + print(f"Currently alpha={alpha}, beta={beta}") + # condition for pruning + if beta <= alpha: + print(f"Pruned alpha {alpha}, beta {beta}") + break + print(f"Values {returned_values} are returned to {'max' if min_max_chose == min else 'min'} scope" + f"and alpha= {alpha}, beta={beta}") + # return min or max depending on which scope it is. + return min_max_chose(returned_values) + + +def main(): + p = Problem() + print(p.apply_alpha_beta_pruning()) + + +if __name__ == '__main__': + main() diff --git a/Python/MinMax.py b/Python/MinMax.py new file mode 100644 index 0000000..72801e5 --- /dev/null +++ b/Python/MinMax.py @@ -0,0 +1,131 @@ +class Problem: + + def __init__(self): + # it a tree that is represented in the form of nested dictionary + # where every key represents a node having child and last nodes + # without child are represented in a list + # First symmetrical tree with each node having 2 children + """self.tree = { + 'A': { + 'B': { + 'D': + [3, 8] + , + 'E': + [6, 4] + + }, + 'C': { + 'F': + [2, 3] + , + 'G': + [1, 2] + + } + } + }""" + # Second symmetrical tree with each node having 3 children + '''self.tree = { + 'A': { + 'B': { + 'E':[3, 8, 4] + , + 'F':[6, 4, 1] + , + 'G':[1, 2,-1] + + + }, + 'C': { + 'H':[2, 3, 5] + , + 'I':[1, 2, 0] + , + 'J':[8, 2, 4] + + + }, + 'D': { + 'K':[2, 3, 5] + , + 'L':[1, 2, 7] + , + 'M':[5, 4, 9] + + + } + } + }''' + # third unsymmetrical tree with different number of children + # that looks like this + # A + # / \ + # B C + # / \ / | \ + # D E F G H + # | /\ | / \ / | \ + # 5 3 6 9 2 0 9 8 4 + self.tree = { + 'A': { + 'B': { + 'D': [5] + , + 'E': [3, 6] + }, + 'C': { + 'F': [9] + , + 'G': [2, 0] + , + 'H': [9, 8, 4] + + } + } + } + + def apply_min_max(self, current_subtree=None, min_max_chose=max): + """ + Recursive function that gets a tree stored as dictionary + and calls itself recursively to apply min max on the sub-tree + on each recursive call it gets back an integer value that tree should have on each node. + Each node is represented by a recursive scope + + :param current_subtree: type dict + :param min_max_chose: is a function default value is max. + :return: an int + """ + if current_subtree is None: + current_subtree = self.tree + print('Min Max Started') + + # list that contains integers that are returned from next recursive scope. + # is a min or max of child nodes. + returned_values = list() + # min_max_chose stores a function that alternates in every scope (has min and max values only) + # in one scope it is min and in next scope it is max + + # inverting min_max_chose because it will apply on child scope or nodes + min_max_chose = max if min_max_chose == min else min + # base condition where node does not have further children and is represented as a list + if type(current_subtree) == list: + return min_max_chose(current_subtree) + # available_keys has values of all available keys i-e child node + available_keys = current_subtree.keys() + # we iterate over these keys to get child subtrees + for key in available_keys: + value = self.apply_min_max(current_subtree[key], min_max_chose) + returned_values.append(value) + + print(f"Values {returned_values} are returned to {'max' if min_max_chose == min else 'min'} scope") + # return min or max depending on which scope it is. + return min_max_chose(returned_values) + + +def main(): + p = Problem() + print(p.apply_min_max()) + + +if __name__ == '__main__': + main() From 97a172be7e4bc239c7884d1a3d42f3baef249f3e Mon Sep 17 00:00:00 2001 From: Jagrit <69034224+jagritvats@users.noreply.github.com> Date: Sat, 23 Oct 2021 12:47:47 +0530 Subject: [PATCH 070/232] Update insertionSort.cpp --- C++/insertionSort.cpp | 18 ++++++++++++++++++ 1 file changed, 18 insertions(+) diff --git a/C++/insertionSort.cpp b/C++/insertionSort.cpp index dc9a565..cd0bd05 100644 --- a/C++/insertionSort.cpp +++ b/C++/insertionSort.cpp @@ -62,3 +62,21 @@ int main() // Display the Final Array displayArr(a, n); } + +/* + Insertion Sort Algorithm in C++ + Input: Length of Array followed by Array of integers + Output: Sorted array in ascending order + + Sample Input 1: + 5 + 65 23 123 5 212 + Output 1: + Sorted Array: 5 23 65 123 212 + + Sample Input 2: + 7 + 32 54 112 43 23 1 2 + Output 2: + Sorted Array: 1 2 23 32 43 54 112 +*/ From aa2766041fe11d8fc9d9b5815272fede9710aea9 Mon Sep 17 00:00:00 2001 From: LaraibNoor Date: Sat, 23 Oct 2021 12:44:14 +0500 Subject: [PATCH 071/232] Added GBFS python implementation --- GBFS.py | 211 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 211 insertions(+) create mode 100644 GBFS.py diff --git a/GBFS.py b/GBFS.py new file mode 100644 index 0000000..614d33c --- /dev/null +++ b/GBFS.py @@ -0,0 +1,211 @@ + + #Laraib Noor + + #FA18-BSE-038 + + +#_______________________________________________________________________________________________________________ + + +class Priority_Queue: + + def __init__(self): + self.back = list() + self.count = 0 + + def enqueue(self, value): + self.back.append(value) + self.count += 1 + + def dequeue(self): + if self.count > 0: + self.count -= 1 + min_index = 0 + min_value = 0 + for i in range(len(self.back)): + if min_value > self.back[i].f: + min_value = self.back[i].f + min_index = i + return self.back.pop(min_index) + else: + return None + + def contains(self, value): + for val in self.back: + if val == value: + return True + return False + + def to_string(self): + return str(self.back) + + +# Priority Queue ends here + +class Problem(object): + def __init__(self, init_state, goal_state): + self.initial_state = init_state; + self.goal_state = goal_state; + self.state_space = {}; + self.state_space['Arad'] = {'R1': 'Zerind', 'R2': 'Sibiu', 'R3': 'Timisoara'}; + self.state_space['Zerind'] = {'R1': 'Oradea', 'R2': 'Arad'}; + self.state_space['Oradea'] = {'R1': 'Sibiu', 'R2': 'Zerind'}; + self.state_space['Timisoara'] = {'R1': 'Lugoj', 'R2': 'Arad'}; + self.state_space['Lugoj'] = {'R1': 'Timisoara', 'R2': 'Mehandia'}; + self.state_space['Drobeta'] = {'R1': 'Mehandia', 'R2': 'Craiova'}; + self.state_space['Craiova'] = {'R1': 'Drobeta', 'R2': 'Rimnicu Vilcea', 'R3': 'Pitesti'}; + self.state_space['Rimnicu Vilcea'] = {'R1': 'Sibiu', 'R2': 'Pitesti', 'R3': 'Craiova'}; + self.state_space['Sibiu'] = {'R1': 'Arad', 'R2': 'Fagaras', 'R3': 'Oradea', 'R4': 'Rimnicu Vilcea'}; + self.state_space['Fagaras'] = {'R1': 'Sibiu', 'R2': 'Bucharest'}; + self.state_space['Pitesti'] = {'R1': 'Rimnicu Vilcea', 'R2': 'Craiova', 'R3': 'Bucharest'}; + self.state_space['Bucharest'] = {'R1': 'Fagaras', 'R2': 'Pitesti', 'R3': 'Giurgiu', 'R4': 'Urziceni'}; + self.state_space['Giurgiu'] = {'R1': 'Bucharest'}; + self.state_space['Urziceni'] = {'R1': 'Bucharest', 'R2': 'Valsui', 'R3': 'Hirsova'}; + self.state_space['Hirsova'] = {'R1': 'Eforie', 'R2': 'Urziceni'}; + self.state_space['Eforie'] = {'R1': 'Hirsova'}; + self.state_space['Valsui'] = {'R1': 'Urziceni', 'R2': 'Iasi'}; + self.state_space['Iasi'] = {'R1': 'Valsui', 'R2': 'Neamt'}; + self.state_space['Neamt'] = {'R1': 'Iasi'}; + self.state_space['Mehandia'] = {'R1': 'Lugoj', 'R2': 'Drobeta'}; + + self.step_cost = {}; + self.step_cost['Arad'] = {'R1': 75, 'R2': 140, 'R3': 118}; + self.step_cost['Zerind'] = {'R1': 71, 'R2': 75}; + self.step_cost['Oradea'] = {'R1': 152, 'R2': 71}; + self.step_cost['Timisoara'] = {'R1': 111, 'R2': 118}; + self.step_cost['Lugoj'] = {'R1': 111, 'R2': 70}; + self.step_cost['Drobeta'] = {'R1': 75, 'R2': 120}; + self.step_cost['Craiova'] = {'R1': 120, 'R2': 146, 'R3': 138}; + self.step_cost['Rimnicu Vilcea'] = {'R1': 80, 'R3': 97, 'R4': 146}; + self.step_cost['Sibiu'] = {'R1': 140, 'R2': 99, 'R3': 151, 'R4': 80}; + self.step_cost['Fagaras'] = {'R1': 99, 'R2': 211}; + self.step_cost['Pitesti'] = {'R1': 97, 'R2': 138, 'R3': 101}; + self.step_cost['Bucharest'] = {'R1': 211, 'R2': 101, 'R3': 90, 'R4': 85}; + self.step_cost['Giurgiu'] = {'R1': 90}; + self.step_cost['Urziceni'] = {'R1': 85, 'R2': 142, 'R3': 98}; + self.step_cost['Hirsova'] = {'R1': 86, 'R2': 98}; + self.step_cost['Eforie'] = {'R1': 86}; + self.step_cost['Valsui'] = {'R1': 142, 'R2': 92}; + self.step_cost['Iasi'] = {'R1': 92, 'R2': 87}; + self.step_cost['Neamt'] = {'R1': 87}; + self.step_cost['Mehandia'] = {'R1': 70, 'R2': 75}; + + self.heuristic = {} + self.heuristic['Arad'] = 366 + self.heuristic['Zerind'] = 374 + self.heuristic['Oradea'] = 380 + self.heuristic['Timisoara'] = 329 + self.heuristic['Lugoj'] = 244 + self.heuristic['Drobeta'] = 242 + self.heuristic['Craiova'] = 160 + self.heuristic['Rimnicu Vilcea'] = 193 + self.heuristic['Sibiu'] = 253 + self.heuristic['Fagaras'] = 176 + self.heuristic['Pitesti'] = 100 + self.heuristic['Bucharest'] = 0 + self.heuristic['Giurgiu'] = 77 + self.heuristic['Urziceni'] = 80 + self.heuristic['Hirsova'] = 151 + self.heuristic['Eforie'] = 161 + self.heuristic['Valsui'] = 199 + self.heuristic['Iasi'] = 226 + self.heuristic['Neamt'] = 234 + self.heuristic['Mehandia'] = 241 + + def Actions(self, state): + lst = self.state_space[state].keys() + return lst + + def Result(self, state, action): + return self.state_space[state][action] + + def Goal_test(self, state): + return state == self.goal_state + + def Path_cost(self, state, action): + return self.step_cost[state][action] + + def h(self, state): + return self.heuristic[state] + + +# ______________________________________________________________________________ +class Node: + + def __init__(self, state, parent=None, action=None, path_cost=0, heuristic=0): + """Create a search tree Node, derived from a parent by an action.""" + self.state = state + self.parent = parent + self.action = action + self.path_cost = path_cost + self.h= heuristic + self.f= self.h+self.path_cost + + def __repr__(self): + return "".format(self.state, self.path_cost, self.f) + + def __lt__(self, node): + return isinstance(node, Node) and self.state < node.state + + def __eq__(self, other): + return isinstance(other, Node) and self.state == other.state + + +# ----------------------------------------------------------------------------- + +def child_node(problem, parent, action): + next_state = problem.Result(parent.state, action) + step_cost = problem.Path_cost(parent.state, action) + heuristic_cost = problem.h(next_state) + next_node = Node(next_state, parent, action, parent.path_cost + int(step_cost), heuristic_cost) + return next_node + + +# Problem ends here +def solution(node): + path_back = [] + while node and type(node) == Node: + path_back.append(node) + node = node.parent + for n in reversed(path_back): + print(n) + + +# ______________________________________________________________________________ + +def Astaric(problem): + heuristic_cost = problem.h(problem.initial_state) + node = Node(problem.initial_state, heuristic_cost) + if problem.Goal_test(node.state): return solution(node) + frontier = Priority_Queue() + frontier.enqueue(node) + explored = [] + while True: + if not frontier: return print('Failure') + node = frontier.dequeue() + explored.append(node.state) + for action in problem.Actions(node.state): + child = child_node(problem, node, action) + if child.state not in explored and child not in frontier.back: + if problem.Goal_test(child.state): return solution(child) + frontier.enqueue(child) + # End of if + # End of for + # End of while + + +# ____________________________________________________________________________ + + +p = Problem('Giurgiu', 'Rimnicu Vilcea') + +Astaric(p) + + + + + + + + + From c35cf484d2c51f6e0c4f0964bc3e6d89bc621148 Mon Sep 17 00:00:00 2001 From: Syed Fasih Uddin Date: Sat, 23 Oct 2021 17:18:20 +0500 Subject: [PATCH 072/232] Initial code --- Python/Billing System.py | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 Python/Billing System.py diff --git a/Python/Billing System.py b/Python/Billing System.py new file mode 100644 index 0000000..e69de29 From eda8434eb75964f5d6debbe0449985f28a9e6632 Mon Sep 17 00:00:00 2001 From: Syed Fasih Uddin Date: Sat, 23 Oct 2021 17:40:37 +0500 Subject: [PATCH 073/232] optimized code for unlimited order items --- Python/Billing System.py | 43 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 43 insertions(+) diff --git a/Python/Billing System.py b/Python/Billing System.py index e69de29..3ce81bb 100644 --- a/Python/Billing System.py +++ b/Python/Billing System.py @@ -0,0 +1,43 @@ +burgers=[] +quan=[] +def PrintHead(): + print(" ABC Burgers") + print(" Pakistan Road,Karachi") + print("=====================================") + + +# Data Entry: +rates = {"cheese": 110, "zinger": 160, "abc special": 250, "chicken": 120} +# Front-End: +def TakeInputs(): + b = input("Burger Type:").lower() + if b not in rates.keys(): + print("Burger Type Not Recognized") + print("Kindly try again, or add the new burger in Rates list") + TakeInputs() + return + q = int(input("Quantity:")) + burgers.append(b) + quan.append(q) + yn = input("Y to add another burger:") + if yn == "y" or yn=="Y" : + TakeInputs() + else: + print("Data Collection Complete!") + + +def receipt(): + total = 0 + print("{0:13} {1} {2:9} {3:9}".format("Burger","Rate"," Quantity"," Price")) + for index,each_burger in enumerate(burgers): + print("{0:13}".format(burgers[index].title()), rates[burgers[index]], "{0:9}".format(quan[index]), + "{0:9}".format(rates[burgers[index]] * quan[index])) + total += (rates[burgers[index]] * quan[index]) + + print("-------------------------------------") + print(" Total:", total) + +PrintHead() +TakeInputs() +PrintHead() +receipt() \ No newline at end of file From a84e0025da20d40575dfb4a1b68d4bc70022b504 Mon Sep 17 00:00:00 2001 From: Syed Fasih Uddin Date: Sat, 23 Oct 2021 18:26:50 +0500 Subject: [PATCH 074/232] Multiplication Table --- Python/Maths Table Generator.py | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 Python/Maths Table Generator.py diff --git a/Python/Maths Table Generator.py b/Python/Maths Table Generator.py new file mode 100644 index 0000000..e69de29 From 564e820449f13dbc7200df4eb17c68a62c28a9f7 Mon Sep 17 00:00:00 2001 From: Syed Fasih Uddin Date: Sat, 23 Oct 2021 18:30:25 +0500 Subject: [PATCH 075/232] Multiplication Table --- Python/Maths Table Generator.py | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/Python/Maths Table Generator.py b/Python/Maths Table Generator.py index e69de29..ae896ca 100644 --- a/Python/Maths Table Generator.py +++ b/Python/Maths Table Generator.py @@ -0,0 +1,8 @@ +# Take input from +number=int(input("Enter Number for Multiplication Table:")) + +# i is iterator that starts from 1 and ends at 10 +for i in range(1,11): + # f'' syntex in python is of formatted strings + # you can add variables in these using { } notation + print(f"{number} X {i} = {number*i}") From d355459a6915830fb1e7ec09ea3b62e0f657ca4d Mon Sep 17 00:00:00 2001 From: Syed Fasih Uddin Date: Sun, 24 Oct 2021 01:08:33 +0500 Subject: [PATCH 076/232] Numerals to Words --- Python/Number To Words.py | 36 ++++++++++++++++++++++++++++++++++++ 1 file changed, 36 insertions(+) create mode 100644 Python/Number To Words.py diff --git a/Python/Number To Words.py b/Python/Number To Words.py new file mode 100644 index 0000000..0532233 --- /dev/null +++ b/Python/Number To Words.py @@ -0,0 +1,36 @@ +# Works from Zero til One Thousand! +def InWords(num): + # We must define all unique numbers + TillTwelve = {0: "zero", 1: "one", 2: "two", 3: "three", 4: "four", 5: "five", 6: "six", 7: "seven", 8: "eight", + 9: "nine", 10: "ten", 11: "eleven", 12: "twelve", 13: "thirteen", 15: "fifteen"} + MultiplesOfTen = {20: "twenty", 30: "thirty", 40: "forty", 50: "fifty", 60: "sixty", 70: "seventy", 80: "eighty", + 90: "ninty", 100: "one hundred"} + + if type(num) != int: + return "Invalid Input" + else: + if num < 20: + try: + return (TillTwelve[num]) + except KeyError: + return (TillTwelve[int(str(num)[1])] + "teen") + elif num % 10 == 0 and not (num > 100): + return (MultiplesOfTen[num]) + + elif num < 100: + + return (MultiplesOfTen[int(str(num)[0] + "0")] + " " + TillTwelve[int(str(num)[1])]) + + + elif num < 1000: + try: + return (TillTwelve[int(str(num)[0])] + " hundred and " + TillTwelve[int(str(num)[1:])]) + except KeyError: + broken_number = InWords(int(str(num)[1:])) + return (TillTwelve[int(str(num)[0])] + " hundred and " + broken_number) + + else: + return "One Thousand! (or above)" + +print(InWords(int(input("Enter Any number:")))) +input() From d12d4ad172a318342fbcf1cf058cf4198f5242b0 Mon Sep 17 00:00:00 2001 From: Syed Fasih Uddin Date: Sun, 24 Oct 2021 01:20:01 +0500 Subject: [PATCH 077/232] Bill Splitter --- Python/Bill Splitter.py | 8 ++++++++ 1 file changed, 8 insertions(+) create mode 100644 Python/Bill Splitter.py diff --git a/Python/Bill Splitter.py b/Python/Bill Splitter.py new file mode 100644 index 0000000..4c34657 --- /dev/null +++ b/Python/Bill Splitter.py @@ -0,0 +1,8 @@ +# Bill Splitter for Restaurants + +total = int(input("Enter Total Bill Amount:")) +friends = int(input("Enter number of Friends:")) + +eachPays = total/friends + +print("Each person pays",round(eachPays, 2),'/- Rupees') \ No newline at end of file From 65c64c265610611507beb5851a6092b0aea9a936 Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Sun, 24 Oct 2021 13:24:11 +0500 Subject: [PATCH 078/232] Create Dart program to check if a string is palindrome --- ...rt program to check if a string is palindrome | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) create mode 100644 Dart/Dart program to check if a string is palindrome diff --git a/Dart/Dart program to check if a string is palindrome b/Dart/Dart program to check if a string is palindrome new file mode 100644 index 0000000..8fc409e --- /dev/null +++ b/Dart/Dart program to check if a string is palindrome @@ -0,0 +1,16 @@ +import 'dart:io'; + +void main() { + print('Enter Any String '); + String name = stdin.readLineSync()!; + + var sb = StringBuffer(); + + for (int i = name.length - 1; i >= 0; i--) { + sb.write(name[i]); + } + + if (name == sb.toString()) { + print('right'); + } +} From 281a5532f17e7dc94d698bab5ea4424a643404b1 Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Sun, 24 Oct 2021 13:45:12 +0500 Subject: [PATCH 079/232] Create Dart program to check if a given number is prime or not. --- ...o check if a given number is prime or not. | 29 +++++++++++++++++++ 1 file changed, 29 insertions(+) create mode 100644 Dart/Dart program to check if a given number is prime or not. diff --git a/Dart/Dart program to check if a given number is prime or not. b/Dart/Dart program to check if a given number is prime or not. new file mode 100644 index 0000000..c6135aa --- /dev/null +++ b/Dart/Dart program to check if a given number is prime or not. @@ -0,0 +1,29 @@ +import 'dart:io'; + +void main() { + stdout.write("Please Enter a number: "); + String? data = stdin.readLineSync(); + if (data != null && isNumeric(data)) { + print(data); + int chosenNumber = int.parse(data); + + checkPrime(chosenNumber); + } +} + +bool isNumeric(String str) { + return double.tryParse(str) != null; +} + +void checkPrime(int number) { + // List comprehensions + List a = [ + for (var i = 1; i <= number; i++) + if (number % i == 0) i + ]; + + // Check for prime + a.length == 2 + ? print("Given number is prime number") + : print("Given number is not a prime"); +} From d77a9caa521cad092fec93c1f458f183e1df257a Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Sun, 24 Oct 2021 13:53:34 +0500 Subject: [PATCH 080/232] Create Dart program to check if a number is prime or not. --- ...gram to check if a number is prime or not. | 29 +++++++++++++++++++ 1 file changed, 29 insertions(+) create mode 100644 Dart/Dart program to check if a number is prime or not. diff --git a/Dart/Dart program to check if a number is prime or not. b/Dart/Dart program to check if a number is prime or not. new file mode 100644 index 0000000..c6135aa --- /dev/null +++ b/Dart/Dart program to check if a number is prime or not. @@ -0,0 +1,29 @@ +import 'dart:io'; + +void main() { + stdout.write("Please Enter a number: "); + String? data = stdin.readLineSync(); + if (data != null && isNumeric(data)) { + print(data); + int chosenNumber = int.parse(data); + + checkPrime(chosenNumber); + } +} + +bool isNumeric(String str) { + return double.tryParse(str) != null; +} + +void checkPrime(int number) { + // List comprehensions + List a = [ + for (var i = 1; i <= number; i++) + if (number % i == 0) i + ]; + + // Check for prime + a.length == 2 + ? print("Given number is prime number") + : print("Given number is not a prime"); +} From 53989b2eb71bd4653b250c9c71cdcca0c79f4ba7 Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Sun, 24 Oct 2021 14:05:25 +0500 Subject: [PATCH 081/232] Delete Dart program to check if a given number is prime or not. --- ...o check if a given number is prime or not. | 29 ------------------- 1 file changed, 29 deletions(-) delete mode 100644 Dart/Dart program to check if a given number is prime or not. diff --git a/Dart/Dart program to check if a given number is prime or not. b/Dart/Dart program to check if a given number is prime or not. deleted file mode 100644 index c6135aa..0000000 --- a/Dart/Dart program to check if a given number is prime or not. +++ /dev/null @@ -1,29 +0,0 @@ -import 'dart:io'; - -void main() { - stdout.write("Please Enter a number: "); - String? data = stdin.readLineSync(); - if (data != null && isNumeric(data)) { - print(data); - int chosenNumber = int.parse(data); - - checkPrime(chosenNumber); - } -} - -bool isNumeric(String str) { - return double.tryParse(str) != null; -} - -void checkPrime(int number) { - // List comprehensions - List a = [ - for (var i = 1; i <= number; i++) - if (number % i == 0) i - ]; - - // Check for prime - a.length == 2 - ? print("Given number is prime number") - : print("Given number is not a prime"); -} From fa6f798d192f4340a36c3134eb48495337321a4c Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Sun, 24 Oct 2021 14:05:45 +0500 Subject: [PATCH 082/232] Delete Dart program to check if a number is prime or not. --- ...gram to check if a number is prime or not. | 29 ------------------- 1 file changed, 29 deletions(-) delete mode 100644 Dart/Dart program to check if a number is prime or not. diff --git a/Dart/Dart program to check if a number is prime or not. b/Dart/Dart program to check if a number is prime or not. deleted file mode 100644 index c6135aa..0000000 --- a/Dart/Dart program to check if a number is prime or not. +++ /dev/null @@ -1,29 +0,0 @@ -import 'dart:io'; - -void main() { - stdout.write("Please Enter a number: "); - String? data = stdin.readLineSync(); - if (data != null && isNumeric(data)) { - print(data); - int chosenNumber = int.parse(data); - - checkPrime(chosenNumber); - } -} - -bool isNumeric(String str) { - return double.tryParse(str) != null; -} - -void checkPrime(int number) { - // List comprehensions - List a = [ - for (var i = 1; i <= number; i++) - if (number % i == 0) i - ]; - - // Check for prime - a.length == 2 - ? print("Given number is prime number") - : print("Given number is not a prime"); -} From 3fad1a301a39fffb7b5322fac0cdd5951ea15d5f Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Sun, 24 Oct 2021 14:17:44 +0500 Subject: [PATCH 083/232] Create Dart program to check if a number is prime or not. --- ...gram to check if a number is prime or not. | 29 +++++++++++++++++++ 1 file changed, 29 insertions(+) create mode 100644 Dart/Dart program to check if a number is prime or not. diff --git a/Dart/Dart program to check if a number is prime or not. b/Dart/Dart program to check if a number is prime or not. new file mode 100644 index 0000000..c6135aa --- /dev/null +++ b/Dart/Dart program to check if a number is prime or not. @@ -0,0 +1,29 @@ +import 'dart:io'; + +void main() { + stdout.write("Please Enter a number: "); + String? data = stdin.readLineSync(); + if (data != null && isNumeric(data)) { + print(data); + int chosenNumber = int.parse(data); + + checkPrime(chosenNumber); + } +} + +bool isNumeric(String str) { + return double.tryParse(str) != null; +} + +void checkPrime(int number) { + // List comprehensions + List a = [ + for (var i = 1; i <= number; i++) + if (number % i == 0) i + ]; + + // Check for prime + a.length == 2 + ? print("Given number is prime number") + : print("Given number is not a prime"); +} From c755efce85ec15c333af874707c80f1f1a1673a6 Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Sun, 24 Oct 2021 14:44:04 +0500 Subject: [PATCH 084/232] Create Dart program to upload file to firebase storage. --- ...rogram to upload file to firebase storage. | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) create mode 100644 Dart/Dart program to upload file to firebase storage. diff --git a/Dart/Dart program to upload file to firebase storage. b/Dart/Dart program to upload file to firebase storage. new file mode 100644 index 0000000..189b8bc --- /dev/null +++ b/Dart/Dart program to upload file to firebase storage. @@ -0,0 +1,19 @@ +import 'dart:io'; + +import 'package:firebase_storage/firebase_storage.dart'; + +class UploadFileToStorage{ + + late Reference _storageReference; + + Future uploadFileToStorage(File imageFile, String destination) async { + + _storageReference = FirebaseStorage.instance + .ref(destination) + .child('${DateTime.now().millisecondsSinceEpoch}'); + UploadTask storageUploadTask = _storageReference.putFile(imageFile); + var url = await (await storageUploadTask).ref.getDownloadURL(); + + return url; + } +} From 33ef8f9fb7e5b692522b6fb403025e4dfe9bd549 Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Sun, 24 Oct 2021 15:01:37 +0500 Subject: [PATCH 085/232] Create Dart program to compress image --- Dart/Dart program to compress image | 20 ++++++++++++++++++++ 1 file changed, 20 insertions(+) create mode 100644 Dart/Dart program to compress image diff --git a/Dart/Dart program to compress image b/Dart/Dart program to compress image new file mode 100644 index 0000000..a49e8a6 --- /dev/null +++ b/Dart/Dart program to compress image @@ -0,0 +1,20 @@ +import 'dart:io'; + +void main(){ +void compressImage() async { + print('starting compression'); + final tempDir = await getTemporaryDirectory(); + final path = tempDir.path; + int rand = Random().nextInt(10000); + + Im.Image? image = Im.decodeImage(file!.readAsBytesSync()); + Im.copyResize(image!,height: 1080,width: 1080); + + var newim2 = new File('$path/img_$rand.jpg') + ..writeAsBytesSync(Im.encodeJpg(image, quality: 25)); + + + file = newim2; + + print('done'); + } From 9afa4ce8c29320a80f449398df2b181015406cbb Mon Sep 17 00:00:00 2001 From: MalikMuneebshahid86 <74771568+MalikMuneebshahid86@users.noreply.github.com> Date: Sun, 24 Oct 2021 19:33:46 +0500 Subject: [PATCH 086/232] Create bricksort.py --- Python/bricksort.py | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 Python/bricksort.py diff --git a/Python/bricksort.py b/Python/bricksort.py new file mode 100644 index 0000000..a186d8b --- /dev/null +++ b/Python/bricksort.py @@ -0,0 +1,25 @@ +def oddEvenSort(arr, n): + # Initially array is unsorted + isSorted = 0 + while isSorted == 0: + isSorted = 1 + temp = 0 + for i in range(1, n-1, 2): + if arr[i] > arr[i+1]: + arr[i], arr[i+1] = arr[i+1], arr[i] + isSorted = 0 + + for i in range(0, n-1, 2): + if arr[i] > arr[i+1]: + arr[i], arr[i+1] = arr[i+1], arr[i] + isSorted = 0 + + return + + +arr = [34, 2, 10, -9] +n = len(arr) + +oddEvenSort(arr, n); +for i in range(0, n): + print(arr[i], end =" ") From 9313dfa03194fe6d5b90111112cf6f0d55578898 Mon Sep 17 00:00:00 2001 From: Syed Fasih Uddin Date: Sun, 24 Oct 2021 20:29:02 +0500 Subject: [PATCH 087/232] Added Expected output --- Python/Maths Table Generator.py | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) diff --git a/Python/Maths Table Generator.py b/Python/Maths Table Generator.py index ae896ca..5f0b33b 100644 --- a/Python/Maths Table Generator.py +++ b/Python/Maths Table Generator.py @@ -6,3 +6,19 @@ # f'' syntex in python is of formatted strings # you can add variables in these using { } notation print(f"{number} X {i} = {number*i}") + +''' +Expected Output: +Enter Number for Multiplication Table: 3 +3 X 1 = 3 +3 X 2 = 6 +3 X 3 = 9 +3 X 4 = 12 +3 X 5 = 15 +3 X 6 = 18 +3 X 7 = 21 +3 X 8 = 24 +3 X 9 = 27 +3 X 10 = 30 + +''' \ No newline at end of file From 3e2aa2d6f33488d21a8138e7408e17a18df74469 Mon Sep 17 00:00:00 2001 From: Syed Fasih Uddin Date: Sun, 24 Oct 2021 20:59:57 +0500 Subject: [PATCH 088/232] Added Expected outputs and extensive commenting --- Python/Number To Words.py | 46 +++++++++++++++++++++++++++++---------- 1 file changed, 35 insertions(+), 11 deletions(-) diff --git a/Python/Number To Words.py b/Python/Number To Words.py index 0532233..acbf23f 100644 --- a/Python/Number To Words.py +++ b/Python/Number To Words.py @@ -1,8 +1,10 @@ # Works from Zero til One Thousand! def InWords(num): # We must define all unique numbers - TillTwelve = {0: "zero", 1: "one", 2: "two", 3: "three", 4: "four", 5: "five", 6: "six", 7: "seven", 8: "eight", + TillFifteen = {0: "zero", 1: "one", 2: "two", 3: "three", 4: "four", 5: "five", 6: "six", 7: "seven", 8: "eight", 9: "nine", 10: "ten", 11: "eleven", 12: "twelve", 13: "thirteen", 15: "fifteen"} + # Multiples of ten to add before unique numbers + # For Example TWENTY four, THIRTY four, SEVENTY four MultiplesOfTen = {20: "twenty", 30: "thirty", 40: "forty", 50: "fifty", 60: "sixty", 70: "seventy", 80: "eighty", 90: "ninty", 100: "one hundred"} @@ -11,26 +13,48 @@ def InWords(num): else: if num < 20: try: - return (TillTwelve[num]) + # Try Unique List + return (TillFifteen[num]) except KeyError: - return (TillTwelve[int(str(num)[1])] + "teen") + # sixTeen till nineTeen are returned by using + # last digit added with added keyword teen + # example: sixteen , seventeen, eighteen + return (TillFifteen[int(str(num)[1])] + "teen") elif num % 10 == 0 and not (num > 100): + # If number is exact multiple of ten + # Fetch it from the MultiplesOfTen dictionary return (MultiplesOfTen[num]) elif num < 100: - - return (MultiplesOfTen[int(str(num)[0] + "0")] + " " + TillTwelve[int(str(num)[1])]) + # From 21 and above, First number represent multiple of ten + # rest of number is handled in above code (Recursive Call) + multiple_of_ten = MultiplesOfTen[int(str(num)[0] + "0")] + return (multiple_of_ten + " " + InWords(int(str(num)[1:]))) elif num < 1000: - try: - return (TillTwelve[int(str(num)[0])] + " hundred and " + TillTwelve[int(str(num)[1:])]) - except KeyError: - broken_number = InWords(int(str(num)[1:])) - return (TillTwelve[int(str(num)[0])] + " hundred and " + broken_number) + # From one hundred and above First number represents + # unique number with added statement ' hundred and ' + # For Example : Three hundred and four, Six hundred and four + # rest of number is handled in above code (Recursive Call) + unique_number = TillFifteen[int(str(num)[0])] + return (unique_number + " hundred and " + InWords(int(str(num)[1:]))) else: + # TODO return "One Thousand! (or above)" print(InWords(int(input("Enter Any number:")))) -input() + +''' +Expected Outputs: + +Enter Any number:5 +five + +Enter Any number:78 +seventy eight + +Enter Any number:235 +two hundred and thirty five +''' From 03b783f614ba16209b765b94996f0a75a9490ac4 Mon Sep 17 00:00:00 2001 From: rzmk Date: Sun, 24 Oct 2021 12:02:36 -0400 Subject: [PATCH 089/232] Add transposeMatrix.js --- Javascript/transposeMatrix.js | 27 +++++++++++++++++++++++++++ 1 file changed, 27 insertions(+) create mode 100644 Javascript/transposeMatrix.js diff --git a/Javascript/transposeMatrix.js b/Javascript/transposeMatrix.js new file mode 100644 index 0000000..65d0c79 --- /dev/null +++ b/Javascript/transposeMatrix.js @@ -0,0 +1,27 @@ +// Transpose a matrix (2D array) of numbers (integers or floats) and return the result. +// The matrix is transposed by swapping the rows and columns. The result is a new matrix. +// The original matrix is not changed. +// The input matrix is a 2D array of numbers. The result is a 2D array of numbers. +const transposeMatrix = (matrix) => { + let result = []; + for (let i = 0; i < matrix[0].length; i++) { // loop through columns + result.push([]); // add a new row to the result matrix + } + for (let i = 0; i < matrix.length; i++) { // loop through rows of the input matrix + for (let j = 0; j < matrix[0].length; j++) { // loop through columns of the input matrix + result[j][i] = matrix[i][j]; // swap rows and columns in the result matrix and add the value to the result matrix + } + } + return result; +} + +// Driver to test the transposeMatrix function. +console.log(transposeMatrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]])); // Output: [[1, 4, 7], [2, 5, 8], [3, 6, 9]] +// From +// [[ 1, 2, 3 ], +// [ 4, 5, 6 ], +// [ 7, 8, 9 ]] +// To +// → [[1, 4, 7], +// [2, 5, 8], +// [3, 6, 9]] \ No newline at end of file From 2316405ee5578a66092cbc27c30bc53b49138ed0 Mon Sep 17 00:00:00 2001 From: Syed Fasih Uddin Date: Sun, 24 Oct 2021 21:09:10 +0500 Subject: [PATCH 090/232] Added Expected output and comments --- Python/Bill Splitter.py | 21 ++++++++++++++++++++- 1 file changed, 20 insertions(+), 1 deletion(-) diff --git a/Python/Bill Splitter.py b/Python/Bill Splitter.py index 4c34657..6744602 100644 --- a/Python/Bill Splitter.py +++ b/Python/Bill Splitter.py @@ -1,8 +1,27 @@ # Bill Splitter for Restaurants +# Task is to divide the total bill amount in friends equally +# We take two inputs: bill amount, and number of friends total = int(input("Enter Total Bill Amount:")) friends = int(input("Enter number of Friends:")) +# Then we calculate how much each person pays eachPays = total/friends -print("Each person pays",round(eachPays, 2),'/- Rupees') \ No newline at end of file +# we show it on screen +# round function rounds it the answer to given decimal places +# round ( 123.45679,2 ) will round number to 2 decimal places +print("Each person pays",round(eachPays, 2),'/- Rupees') + +''' +Expected Output: + +Enter Total Bill Amount:2000 +Enter number of Friends:4 +Each person pays 500.0 /- Rupees + +Enter Total Bill Amount:8000 +Enter number of Friends:2 +Each person pays 4000.0 /- Rupees + +''' From c473bef5304e7bfbb23797236fe441bb1dc810c2 Mon Sep 17 00:00:00 2001 From: rzmk Date: Sun, 24 Oct 2021 12:33:30 -0400 Subject: [PATCH 091/232] Add GitHub PFP scraper --- Python/GitHub_PFP_URL.py | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 Python/GitHub_PFP_URL.py diff --git a/Python/GitHub_PFP_URL.py b/Python/GitHub_PFP_URL.py new file mode 100644 index 0000000..400fd36 --- /dev/null +++ b/Python/GitHub_PFP_URL.py @@ -0,0 +1,15 @@ +# Get GitHub Profile Picture URL from username + +# Import required modules for program to run correctly and display output to user in terminal +import requests # Import requests module to send GET request to GitHub API +import json # Import json module to load JSON data from GitHub API + +# Define function to get GitHub Profile Picture URL from username and return it to user in terminal +def getProfilePicture(username): # Define function with parameter username + url = "https://api.github.com/users/" + username # Define url variable with GitHub API URL and username parameter + r = requests.get(url) # Send GET request to URL and assign to r variable (r = response) + data = json.loads(r.text) # Load JSON data from r.text and assign to data variable (data = response data) + return data["avatar_url"] # Return the avatar_url from data + +# Driver to test function +print(getProfilePicture('MLSA-Mehran-UET')) # Print the URL of the profile picture \ No newline at end of file From 2429b790e369fd3371f2811cdab0f68cbd2101e8 Mon Sep 17 00:00:00 2001 From: Ali Haider Date: Sun, 24 Oct 2021 21:51:36 -0700 Subject: [PATCH 092/232] Create palindrome.py --- Python/palindrome.py | 10 ++++++++++ 1 file changed, 10 insertions(+) create mode 100644 Python/palindrome.py diff --git a/Python/palindrome.py b/Python/palindrome.py new file mode 100644 index 0000000..e5e5f60 --- /dev/null +++ b/Python/palindrome.py @@ -0,0 +1,10 @@ +def checkIfPalindrome(s): + return s == s[::-1] + +s = "A Santa Lived As a Devil At NASA" +ans = checkIfPalindrome(s) + +if ans: + print("Yes") +else: + print("No") From 8facfdda472af6a9c15c43ef46b1e38d23a908e8 Mon Sep 17 00:00:00 2001 From: rzmk Date: Mon, 25 Oct 2021 07:35:34 -0400 Subject: [PATCH 093/232] Longest common prefix in a list of words --- Python/longestCommonPrefix.py | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) create mode 100644 Python/longestCommonPrefix.py diff --git a/Python/longestCommonPrefix.py b/Python/longestCommonPrefix.py new file mode 100644 index 0000000..1263fe1 --- /dev/null +++ b/Python/longestCommonPrefix.py @@ -0,0 +1,19 @@ +# Longest Common Prefix +def longestCommonPrefix(words): # Input: List of Strings + if not words: # if words is empty + return "" # return empty string + if len(words) == 1: # if words has only one element + return words[0] # return the element + prefix = words[0] # set prefix to the first element + for i in range(1, len(words)): # for each element in words + while words[i].find(prefix) != 0: # while the element does not start with prefix + prefix = prefix[:-1] # remove the last character of prefix + if prefix == "": # if prefix is empty + return "" # return empty string + return prefix # Output: String of the longest common prefix + +# Driver to test the function +print(longestCommonPrefix(["flower","flow","flight"])) # Output: "fl" +print(longestCommonPrefix(["dog","racecar","car"])) # Output: "" +print(longestCommonPrefix(["a"])) # Output: "a" +print(longestCommonPrefix(["aa","a"])) # Output: "a" From 914d564e51de2c25aac5ac4f2affc98494da0574 Mon Sep 17 00:00:00 2001 From: Junaid Ahmed <74968802+JunaidAhmed032@users.noreply.github.com> Date: Mon, 25 Oct 2021 17:39:43 +0500 Subject: [PATCH 094/232] Create Decimal to binary Convertor.java --- Java/Decimal to binary Convertor.java | 32 +++++++++++++++++++++++++++ 1 file changed, 32 insertions(+) create mode 100644 Java/Decimal to binary Convertor.java diff --git a/Java/Decimal to binary Convertor.java b/Java/Decimal to binary Convertor.java new file mode 100644 index 0000000..fed5aed --- /dev/null +++ b/Java/Decimal to binary Convertor.java @@ -0,0 +1,32 @@ +/* + * To change this license header, choose License Headers in Project Properties. + * To change this template file, choose Tools | Templates + * and open the template in the editor. + */ +package binaryconvet; + +import java.util.Scanner; + +/** + * + * @author lenovo + */ +public class BinaryConvet { +public static int BinaryConverter(int Input){ + if (Input == 0) + return 0; + + else + + return (Input % 2 + 10 * + BinaryConverter(Input / 2)); + } + public static void main(String[] args) { + Scanner s=new Scanner(System.in); + System.out.println("Enter a decimal number "); + int DecimalNumber=s.nextInt(); + System.out.println("Binary number is :"+BinaryConverter(DecimalNumber)); + + } + +} From fe9eb64a98c0809bad2cde7a4b75ecf70f37aed1 Mon Sep 17 00:00:00 2001 From: Mahnoor Naveed Date: Tue, 26 Oct 2021 08:03:06 +0500 Subject: [PATCH 095/232] add javascript template literals --- Javascript/template-literals.js | 12 ++++++++++++ 1 file changed, 12 insertions(+) create mode 100644 Javascript/template-literals.js diff --git a/Javascript/template-literals.js b/Javascript/template-literals.js new file mode 100644 index 0000000..c8452a5 --- /dev/null +++ b/Javascript/template-literals.js @@ -0,0 +1,12 @@ +// JavaScript Template Literals + +// Template Literals are enclosed with backticks `` +// Allow variables and expression, use single and dual quotes, multiline in strings +const years = 5 +console.log(`She has ${years} of experience in "Javascript" +She has worked for Multiple companies`) + +// OUTPUT + +// She has 5 of experience in "Javascript" +// She has worked for Multiple companies \ No newline at end of file From 0d08abeefcf0abec12163ca6a8fba8269f849527 Mon Sep 17 00:00:00 2001 From: Mursal Furqan <36442744+mursalfk@users.noreply.github.com> Date: Tue, 26 Oct 2021 08:16:09 +0500 Subject: [PATCH 096/232] Update README.md --- README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/README.md b/README.md index bfcee9c..9820c14 100644 --- a/README.md +++ b/README.md @@ -6,6 +6,8 @@ It is an intiiative undertaken by Student Ambassadors Club, Jamshoro for student 1. You can contribute in terms of Code 2. You can contribute in terms of improving Documentation ## Following the procedure you can make your contribution with ease. +### Step 0 +Star and Fork this repository ### Step 1 Look in the issues if the change you are doing is available and issues section is it assigned to someone or not if you can't find any issue open one. Anyone from our team will assign you the issue then you can start contributing ### step 2 Fork this repository From b420080e453e8abb37e5f1f9943f4ba8e2c47fba Mon Sep 17 00:00:00 2001 From: Mahnoor Naveed Date: Tue, 26 Oct 2021 08:20:34 +0500 Subject: [PATCH 097/232] add recursive function in javascript --- recursion.js | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) create mode 100644 recursion.js diff --git a/recursion.js b/recursion.js new file mode 100644 index 0000000..9bf02c4 --- /dev/null +++ b/recursion.js @@ -0,0 +1,16 @@ +// Recursion in javascript + +// A function that call itself is called recursive function and the process called Recursion +// There must be condition to run the recursive function otherwise the function will call indefinitely + + +// Example of Recursive Function + +function findFactorial(num){ + if(num === 1){ + return num; + } + return num * findFactorial(num-1) +} + +console.log(findFactorial(6)); \ No newline at end of file From c190488c7768cc313dad30cd3e19a4dd67456d4e Mon Sep 17 00:00:00 2001 From: Mahnoor Naveed Date: Tue, 26 Oct 2021 08:40:32 +0500 Subject: [PATCH 098/232] add output for the recursive function. --- recursion.js | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/recursion.js b/recursion.js index 9bf02c4..6d3460a 100644 --- a/recursion.js +++ b/recursion.js @@ -13,4 +13,7 @@ function findFactorial(num){ return num * findFactorial(num-1) } -console.log(findFactorial(6)); \ No newline at end of file +console.log(findFactorial(6)); + +//OUTPUT +//720 From 724ca118bdec76cf899dee0b3e0e45f481cd7dab Mon Sep 17 00:00:00 2001 From: Junaid Ahmed <74968802+JunaidAhmed032@users.noreply.github.com> Date: Tue, 26 Oct 2021 09:46:05 +0500 Subject: [PATCH 099/232] Update Decimal to binary Convertor.java --- Java/Decimal to binary Convertor.java | 10 +++++++--- 1 file changed, 7 insertions(+), 3 deletions(-) diff --git a/Java/Decimal to binary Convertor.java b/Java/Decimal to binary Convertor.java index fed5aed..410d261 100644 --- a/Java/Decimal to binary Convertor.java +++ b/Java/Decimal to binary Convertor.java @@ -12,19 +12,23 @@ * @author lenovo */ public class BinaryConvet { +// BINARY CONVERTER FUNCTION BELOW: public static int BinaryConverter(int Input){ + //CHECHING IF NUMBER IS ZERO if (Input == 0) return 0; else - - return (Input % 2 + 10 * - BinaryConverter(Input / 2)); + //FROMULA OF CONERTING TO BINARY + return (Input % 2 + 10 * BinaryConverter(Input / 2)); } public static void main(String[] args) { + //CREATING SCANNER CLASS OBJECT TO TAKE INPUT Scanner s=new Scanner(System.in); System.out.println("Enter a decimal number "); + //DECIMAL VARIABLE FRO DECIMAL NUMBER int DecimalNumber=s.nextInt(); + //PRINTING AND PASSING ARGUMENTS TO BINARYCONVERTER FUNCTION System.out.println("Binary number is :"+BinaryConverter(DecimalNumber)); } From c726d41ef65e0daaf1b56f9c26d5f04095aa2021 Mon Sep 17 00:00:00 2001 From: Kainat-Mahar <72600530+Kainat-Mahar@users.noreply.github.com> Date: Tue, 26 Oct 2021 21:24:34 +0500 Subject: [PATCH 100/232] Add files via upload --- .../Bitcoin__Price_Prediction.ipynb | 1027 +++++++++++++++++ 1 file changed, 1027 insertions(+) create mode 100644 Machine Learning/Bitcoin__Price_Prediction.ipynb diff --git a/Machine Learning/Bitcoin__Price_Prediction.ipynb b/Machine Learning/Bitcoin__Price_Prediction.ipynb new file mode 100644 index 0000000..10cc954 --- /dev/null +++ b/Machine Learning/Bitcoin__Price_Prediction.ipynb @@ -0,0 +1,1027 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "name": "Bitcoin _Price_Prediction.ipynb", + "provenance": [], + "collapsed_sections": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + } + }, + "cells": [ + { + "cell_type": "code", + "metadata": { + "id": "FmMO__YhieOb" + }, + "source": [ + "import json\n", + "import requests\n", + "import tensorflow as tf\n", + "from tensorflow import keras\n", + "from tensorflow.keras import layers\n", + "#from tensorflow.contrib import lite\n", + "from keras.models import Sequential\n", + "from keras.layers import Activation, Dense, Dropout, LSTM\n", + "from keras.callbacks import EarlyStopping\n", + "import matplotlib.pyplot as plt\n", + "import plotly.offline as py\n", + "import plotly.graph_objs as go\n", + "import numpy as np\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "from sklearn.metrics import mean_absolute_error\n", + "%matplotlib inline" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "FBVKRHGfigX6" + }, + "source": [ + "endpoint = 'https://min-api.cryptocompare.com/data/histoday'\n", + "res = requests.get(endpoint + '?fsym=BTC&tsym=USD&limit=500')\n", + "data = pd.DataFrame(json.loads(res.content)['Data'])" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "IBY6ytPNik0L", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 227 + }, + "outputId": "9a29c462-99a5-4081-8849-f19db1a131f5" + }, + "source": [ + "data = data.set_index('time')\n", + "data.index = pd.to_datetime(data.index, unit='s')\n", + "data.head(5)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "
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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "KPzobcXnqlyq" + }, + "source": [ + "from sklearn.preprocessing import MinMaxScaler\n", + "scaler=MinMaxScaler(feature_range=(0,1))\n", + "target_col=scaler.fit_transform(np.array(target_col).reshape(-1,1))" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "3ez8_5IvogUP" + }, + "source": [ + "##splitting dataset into train and test split\n", + "training_size=int(len(target_col)*0.80)\n", + "test_size=len(target_col)-training_size\n", + "train_data,test_data=target_col[0:training_size,:],target_col[training_size:len(target_col),:1]" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "FMon8VWLr6jO" + }, + "source": [ + "# convert an array of values into a dataset matrix\n", + "def create_dataset(dataset, time_step=1):\n", + "\tdataX, dataY = [], []\n", + "\tfor i in range(len(dataset)-time_step-1):\n", + "\t\ta = dataset[i:(i+time_step), 0] ###i=0, 0,1,2,3-----99 100 \n", + "\t\tdataX.append(a)\n", + "\t\tdataY.append(dataset[i + time_step, 0])\n", + "\treturn np.array(dataX), np.array(dataY)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "583kizUCsA7u" + }, + "source": [ + "# reshape into X=t,t+1,t+2,t+3 and Y=t+4\n", + "time_step=1\n", + "X_train, y_train = create_dataset(train_data, time_step)\n", + "X_test, ytest = create_dataset(test_data, time_step)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "ePpTIUHOkAt3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "9700ea2a-1782-4b5b-fc1a-e87a0a881a7e" + }, + "source": [ + "print(X_train.shape), print(y_train.shape)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "(398, 1)\n", + "(398,)\n" + ], + "name": "stdout" + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(None, None)" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 11 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "CNaEHZOwkIj3", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "33081e98-08c2-44e9-f78b-09776dd0fc6f" + }, + "source": [ + "print(X_test.shape), print(ytest.shape)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "(99, 1)\n", + "(99,)\n" + ], + "name": "stdout" + }, + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "(None, None)" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 12 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "fJ-XaSzikOqB" + }, + "source": [ + "# reshape input to be [samples, time steps, features] which is required for LSTM\n", + "X_train =X_train.reshape(X_train.shape[0],X_train.shape[1] , 1)\n", + "X_test = X_test.reshape(X_test.shape[0],X_test.shape[1] , 1)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "NVGFeeABkYCl" + }, + "source": [ + "model=keras.Sequential()\n", + "model.add(LSTM(500,return_sequences=True,input_shape=(X_train.shape[1], X_train.shape[2])))\n", + "model.add(LSTM(500,return_sequences=True))\n", + "model.add(LSTM(500,return_sequences=False))\n", + "model.add(Dropout(0.2))\n", + "model.add(Activation('sigmoid'))\n", + "model.add(Dense(1))\n", + "#opt = keras.optimizers.Adam(learning_rate=0.01)\n", + "#model.compile(loss='categorical_crossentropy', optimizer=opt, metrics=['mse'])\n", + "model.compile(loss='mean_squared_error',optimizer='adam', metrics=['mae'])" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "xF8-LcpsqMt6", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "5ef342e9-a93f-4a70-9316-72d3a0938303" + }, + "source": [ + "model.summary()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Model: \"sequential\"\n", + "_________________________________________________________________\n", + "Layer (type) Output Shape Param # \n", + "=================================================================\n", + "lstm (LSTM) (None, 1, 500) 1004000 \n", + "_________________________________________________________________\n", + "lstm_1 (LSTM) (None, 1, 500) 2002000 \n", + "_________________________________________________________________\n", + "lstm_2 (LSTM) (None, 500) 2002000 \n", + "_________________________________________________________________\n", + "dropout (Dropout) (None, 500) 0 \n", + "_________________________________________________________________\n", + "activation (Activation) (None, 500) 0 \n", + "_________________________________________________________________\n", + "dense (Dense) (None, 1) 501 \n", + "=================================================================\n", + "Total params: 5,008,501\n", + "Trainable params: 5,008,501\n", + "Non-trainable params: 0\n", + "_________________________________________________________________\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "oLH_xT7qqdpT", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "446bc1f0-ddc3-4a52-c174-15ea63bf63a8" + }, + "source": [ + "history=model.fit(X_train,y_train,validation_data=(X_test,ytest),epochs=20,batch_size=32,verbose=1)" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "stream", + "text": [ + "Epoch 1/20\n", + "13/13 [==============================] - 6s 162ms/step - loss: 0.0422 - mae: 0.1598 - val_loss: 0.3443 - val_mae: 0.5704\n", + "Epoch 2/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 0.0216 - mae: 0.1215 - val_loss: 0.4032 - val_mae: 0.6202\n", + "Epoch 3/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 0.0168 - mae: 0.0962 - val_loss: 0.3642 - val_mae: 0.5901\n", + "Epoch 4/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 0.0096 - mae: 0.0663 - val_loss: 0.1141 - val_mae: 0.3296\n", + "Epoch 5/20\n", + "13/13 [==============================] - 1s 41ms/step - loss: 0.0023 - mae: 0.0315 - val_loss: 0.0232 - val_mae: 0.1477\n", + "Epoch 6/20\n", + "13/13 [==============================] - 1s 43ms/step - loss: 0.0011 - mae: 0.0186 - val_loss: 0.0129 - val_mae: 0.1058\n", + "Epoch 7/20\n", + "13/13 [==============================] - 1s 44ms/step - loss: 3.7233e-04 - mae: 0.0123 - val_loss: 0.0049 - val_mae: 0.0604\n", + "Epoch 8/20\n", + "13/13 [==============================] - 1s 45ms/step - loss: 1.6180e-04 - mae: 0.0084 - val_loss: 0.0041 - val_mae: 0.0538\n", + "Epoch 9/20\n", + "13/13 [==============================] - 1s 43ms/step - loss: 1.6337e-04 - mae: 0.0091 - val_loss: 0.0064 - val_mae: 0.0707\n", + "Epoch 10/20\n", + "13/13 [==============================] - 1s 45ms/step - loss: 1.9074e-04 - mae: 0.0077 - val_loss: 0.0035 - val_mae: 0.0487\n", + "Epoch 11/20\n", + "13/13 [==============================] - 1s 41ms/step - loss: 1.1686e-04 - mae: 0.0067 - val_loss: 0.0044 - val_mae: 0.0561\n", + "Epoch 12/20\n", + "13/13 [==============================] - 1s 41ms/step - loss: 1.7812e-04 - mae: 0.0083 - val_loss: 0.0033 - val_mae: 0.0474\n", + "Epoch 13/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 1.6930e-04 - mae: 0.0077 - val_loss: 0.0055 - val_mae: 0.0643\n", + "Epoch 14/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 1.1692e-04 - mae: 0.0069 - val_loss: 0.0028 - val_mae: 0.0425\n", + "Epoch 15/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 1.2750e-04 - mae: 0.0074 - val_loss: 0.0043 - val_mae: 0.0553\n", + "Epoch 16/20\n", + "13/13 [==============================] - 1s 41ms/step - loss: 1.9787e-04 - mae: 0.0098 - val_loss: 0.0059 - val_mae: 0.0675\n", + "Epoch 17/20\n", + "13/13 [==============================] - 1s 41ms/step - loss: 2.1901e-04 - mae: 0.0115 - val_loss: 0.0030 - val_mae: 0.0441\n", + "Epoch 18/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 1.0347e-04 - mae: 0.0061 - val_loss: 0.0027 - val_mae: 0.0419\n", + "Epoch 19/20\n", + "13/13 [==============================] - 1s 41ms/step - loss: 1.2707e-04 - mae: 0.0068 - val_loss: 0.0032 - val_mae: 0.0466\n", + "Epoch 20/20\n", + "13/13 [==============================] - 1s 42ms/step - loss: 1.6478e-04 - mae: 0.0088 - val_loss: 0.0037 - val_mae: 0.0503\n" + ], + "name": "stdout" + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "2-RCPm8wjBUb", + "colab": { + "base_uri": "https://localhost:8080/" + }, + "outputId": "bdbb3f64-e100-4436-d95d-169bc0e13d50" + }, + "source": [ + "history.history['loss']" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[0.03191959112882614,\n", + " 0.018243372440338135,\n", + " 0.014717623591423035,\n", + " 0.009163795970380306,\n", + " 0.0015256005572155118,\n", + " 0.0005994651583023369,\n", + " 0.0002838505315594375,\n", + " 0.00020431107259355485,\n", + " 0.00016604272241238505,\n", + " 0.00015689247811678797,\n", + " 0.00014251841639634222,\n", + " 0.00016275570669677109,\n", + " 0.000160191222676076,\n", + " 0.00011929321772186086,\n", + " 0.0001646284363232553,\n", + " 0.000203924355446361,\n", + " 0.00019159115618094802,\n", + " 0.0001174519638880156,\n", + " 0.00013711779320146888,\n", + " 0.00019837942090816796]" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 17 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "-Rkxen9OBHSw", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 616 + }, + "outputId": "f83471ee-7644-47b1-8fea-f271a09eb04a" + }, + "source": [ + "trace1 = go.Scatter(\n", + " x = np.arange(0, len(history.history['loss']), 1),\n", + " y = history.history['loss'],\n", + " mode = 'lines',\n", + " name = 'Train loss',\n", + " line = dict(color=('rgb(255,0,0)'), width=2, dash='dash')\n", + ")\n", + "trace2 = go.Scatter(\n", + " x = np.arange(0, len(history.history['val_loss']), 1),\n", + " y = history.history['val_loss'],\n", + " mode = 'lines',\n", + " name = 'Test loss',\n", + " line = dict(color=('rgb(1, 0, 255)'), width=2)\n", + ")\n", + "\n", + "data = [trace1, trace2]\n", + "layout = go.Layout(\n", + " autosize=False,\n", + " width=750,\n", + " height=600,\n", + "\n", + " title = 'Train and Test Loss during training',\n", + " xaxis= go.layout.XAxis(linecolor = 'black',\n", + " linewidth = 1,\n", + " mirror = True,\n", + " title = \"Epoch number\",\n", + " color = 'black'\n", + " ),\n", + "\n", + " yaxis= go.layout.YAxis(linecolor = 'red',\n", + " linewidth = 1,\n", + " mirror = True,\n", + " title = \"Loss\",\n", + " color = 'black'),\n", + "\n", + " margin=go.layout.Margin(\n", + " l=50,\n", + " r=50,\n", + " b=100,\n", + " t=100,\n", + " pad = 4\n", + " )\n", + ")\n", + "\n", + "fig = go.Figure(data=data, layout=layout)\n", + "py.iplot(fig, filename='training_process')" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "
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" + ] + }, + "metadata": { + "tags": [] + } + } + ] + } + ] +} \ No newline at end of file From 514a8a281e5490207c28c42a9dafe8579647f657 Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Tue, 26 Oct 2021 21:41:35 +0500 Subject: [PATCH 101/232] Rename Dart program to check if a number is prime or not. to Dart program to check if a number is prime or not.dart output: Please Enter a number: 7 Given number is prime number --- ...ot. => Dart program to check if a number is prime or not.dart} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Dart/{Dart program to check if a number is prime or not. => Dart program to check if a number is prime or not.dart} (100%) diff --git a/Dart/Dart program to check if a number is prime or not. b/Dart/Dart program to check if a number is prime or not.dart similarity index 100% rename from Dart/Dart program to check if a number is prime or not. rename to Dart/Dart program to check if a number is prime or not.dart From 321bc24f7d3005e0f30a629c70bc14fbe88d7870 Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Tue, 26 Oct 2021 21:49:48 +0500 Subject: [PATCH 102/232] Rename Dart program to check if a string is palindrome to Dart program to check if a string is palindrome.dart --- ...drome => Dart program to check if a string is palindrome.dart} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Dart/{Dart program to check if a string is palindrome => Dart program to check if a string is palindrome.dart} (100%) diff --git a/Dart/Dart program to check if a string is palindrome b/Dart/Dart program to check if a string is palindrome.dart similarity index 100% rename from Dart/Dart program to check if a string is palindrome rename to Dart/Dart program to check if a string is palindrome.dart From 2b27a20d23f55282b0f0355607a21fe0ee554259 Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Tue, 26 Oct 2021 21:53:23 +0500 Subject: [PATCH 103/232] Rename Dart program to check if a number is prime or not. to Dart program to check if a number is prime or not.dart --- ...ot. => Dart program to check if a number is prime or not.dart} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Dart/{Dart program to check if a number is prime or not. => Dart program to check if a number is prime or not.dart} (100%) diff --git a/Dart/Dart program to check if a number is prime or not. b/Dart/Dart program to check if a number is prime or not.dart similarity index 100% rename from Dart/Dart program to check if a number is prime or not. rename to Dart/Dart program to check if a number is prime or not.dart From 826068e004aadf339bca1b3eea7c23d11d9d5d08 Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Tue, 26 Oct 2021 21:54:40 +0500 Subject: [PATCH 104/232] Rename Dart program to upload file to firebase storage. to Dart program to upload file to firebase storage.dart --- ...rage. => Dart program to upload file to firebase storage.dart} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Dart/{Dart program to upload file to firebase storage. => Dart program to upload file to firebase storage.dart} (100%) diff --git a/Dart/Dart program to upload file to firebase storage. b/Dart/Dart program to upload file to firebase storage.dart similarity index 100% rename from Dart/Dart program to upload file to firebase storage. rename to Dart/Dart program to upload file to firebase storage.dart From 561ce76d99546762bf16aab95b86eb38b5bc6f1e Mon Sep 17 00:00:00 2001 From: Ammar Ayoubi <59621670+ammarayoubi@users.noreply.github.com> Date: Tue, 26 Oct 2021 21:57:20 +0500 Subject: [PATCH 105/232] Rename Dart program to compress image to Dart program to compress image.dart --- ...gram to compress image => Dart program to compress image.dart} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Dart/{Dart program to compress image => Dart program to compress image.dart} (100%) diff --git a/Dart/Dart program to compress image b/Dart/Dart program to compress image.dart similarity index 100% rename from Dart/Dart program to compress image rename to Dart/Dart program to compress image.dart From 7bd11c38a9ff03531ca01d736c53f0be1ef8112c Mon Sep 17 00:00:00 2001 From: Kainat-Mahar <72600530+Kainat-Mahar@users.noreply.github.com> Date: Wed, 27 Oct 2021 14:33:06 +0500 Subject: [PATCH 106/232] Add files via upload --- ...E PREDICTION USING LSTM NEURAL NETWORK.docx | Bin 0 -> 542850 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 Machine Learning/BITCOIN PRICE PREDICTION USING LSTM NEURAL NETWORK.docx diff --git a/Machine Learning/BITCOIN PRICE PREDICTION USING LSTM NEURAL NETWORK.docx b/Machine Learning/BITCOIN PRICE PREDICTION USING LSTM NEURAL NETWORK.docx new file mode 100644 index 0000000000000000000000000000000000000000..e185f062358e80898ef9ac99fbac3f15d52772c6 GIT binary patch literal 542850 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z$u_7A+oTAgsSF`)UnyxJXd|(*F9y+vA}z9oq#!I>ggSTT<-B|Ep(lTtFZXxPIrrRi zj?6GxidAQ!VohLg<%Gf-X5@5?Ic;47z{E4EV|#|;Vq^s04ib;%T4!P4X(Yg-aR9@@ zM&PSoJ9LItq^OD|_?ryMw3?=_6ik5cc(fxp#GgGn0v!n*kIPx^_Gu*M)|1fXqGPQD-LZa+7R~w_yqG^cYE&6a!L>0JQZjYD5G(9ca&>Lg( zI~ibPw>9j=ltUtBwa4i%E-55ApIa{Xyki2Wog|u5bWG%g0z_tTPILW{5oCZ?)rpvJ zfJjut-Q&seh-ys{ExK}2M1=xGVk*`~rMu9v?6G2iV$X^gJwOIdIFWNxAMM|^v*CI4CP_E}EQ~flZHz zuaTE`$cVUER4`uD?`=!N6ldZYi8~1fnV&0f!0MOSewcVhLp{N;Qg(cKRXu;fc>Fj3 zif25yNHE9@%?`9jX5gVR@r;xff)P*Ik+#KAU6l^N#50%sE`o z#Px|yd6BX&i9?=C8p?J47VzQPRK_$aAL#OV{i T31?V<1pG1g#|o3g{v7-Zd?i21 literal 0 HcmV?d00001 From 3b704c5cda3b03de376248440170f766372ea2f6 Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Wed, 27 Oct 2021 16:01:54 +0500 Subject: [PATCH 107/232] Create Rolling a Dice Example of random function how can we call a random function an example of rolling a dice choosing a random number from a given list --- Python/Rolling a Dice | 8 ++++++++ 1 file changed, 8 insertions(+) create mode 100644 Python/Rolling a Dice diff --git a/Python/Rolling a Dice b/Python/Rolling a Dice new file mode 100644 index 0000000..06b4cd0 --- /dev/null +++ b/Python/Rolling a Dice @@ -0,0 +1,8 @@ +# importing random +import random + +# prints a random value from the list + +list1 = [1, 2, 3, 4, 5, 6] + +print(random.choice(list1)) From 6fde915f3ece82e95e26fd7969773d9e71f810c0 Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Wed, 27 Oct 2021 23:37:09 +0500 Subject: [PATCH 108/232] Create Example of regrassion a simple code explaining regression --- Python/Example of regrassion | 12 ++++++++++++ 1 file changed, 12 insertions(+) create mode 100644 Python/Example of regrassion diff --git a/Python/Example of regrassion b/Python/Example of regrassion new file mode 100644 index 0000000..5a66655 --- /dev/null +++ b/Python/Example of regrassion @@ -0,0 +1,12 @@ +import re + +line = "Cats are smarter than dogs" + +matchObj = re.match( r'(.*) are (.*?) .*', line, re.M|re.I) + +if matchObj: + print ("matchObj.group() : ", matchObj.group()) + print ("matchObj.group(1) : ", matchObj.group(1)) + print ("matchObj.group(2) : ", matchObj.group(2)) +else: + print ("No match!!") From 8c8a0caf62358a7ff7c874328d20b865dc899c29 Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Wed, 27 Oct 2021 23:37:46 +0500 Subject: [PATCH 109/232] Create Example of regrassion a simple code explaining regression --- Python/Example of regrassion | 12 ++++++++++++ 1 file changed, 12 insertions(+) create mode 100644 Python/Example of regrassion diff --git a/Python/Example of regrassion b/Python/Example of regrassion new file mode 100644 index 0000000..5a66655 --- /dev/null +++ b/Python/Example of regrassion @@ -0,0 +1,12 @@ +import re + +line = "Cats are smarter than dogs" + +matchObj = re.match( r'(.*) are (.*?) .*', line, re.M|re.I) + +if matchObj: + print ("matchObj.group() : ", matchObj.group()) + print ("matchObj.group(1) : ", matchObj.group(1)) + print ("matchObj.group(2) : ", matchObj.group(2)) +else: + print ("No match!!") From 651faf07955cb86cf05064ea7fc7ad118b4501aa Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Wed, 27 Oct 2021 23:41:50 +0500 Subject: [PATCH 110/232] Create Example of Threading 2 threads are created and there relative output is observed --- Python/Example of Threading | 20 ++++++++++++++++++++ 1 file changed, 20 insertions(+) create mode 100644 Python/Example of Threading diff --git a/Python/Example of Threading b/Python/Example of Threading new file mode 100644 index 0000000..50882d5 --- /dev/null +++ b/Python/Example of Threading @@ -0,0 +1,20 @@ +import _thread +import time + +# Define a function for the thread +def print_time( threadName, delay): + count = 0 + while count < 5: + time.sleep(delay) + count += 1 + print ("%s: %s" % ( threadName, time.ctime(time.time()) )) + +# Create two threads as follows +try: + _thread.start_new_thread( print_time, ("Thread-1", 2, ) ) + _thread.start_new_thread( print_time, ("Thread-2", 4, ) ) +except: + print ("Error: unable to start thread") + +while 1: + pass From 9701aae2ee6bed1bcfd63ac1f41d1cd9b590f1db Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Wed, 27 Oct 2021 23:47:03 +0500 Subject: [PATCH 111/232] Create Example to connect MySQL data base Example to connect DB and fetch data (version) from database --- Python/Example to connect MySQL data base | 17 +++++++++++++++++ 1 file changed, 17 insertions(+) create mode 100644 Python/Example to connect MySQL data base diff --git a/Python/Example to connect MySQL data base b/Python/Example to connect MySQL data base new file mode 100644 index 0000000..c860409 --- /dev/null +++ b/Python/Example to connect MySQL data base @@ -0,0 +1,17 @@ +import pymysql # first install pymysql using pip. here we inport pymysql to connect DB + +# Open database connection, test data base connectivity is being established +db = pymysql.connect("localhost","testuser","test123","TESTDB" ) + +# prepare a cursor object using cursor() method +cursor = db.cursor() + +# execute SQL query using execute() method. +cursor.execute("SELECT VERSION()") + +# Fetch a single row using fetchone() method. +data = cursor.fetchone() +print ("Database version : %s " % data) + +# disconnect from server +db.close() From 5cd46d172687f38bf691ff86ef2b68a9e172a3f6 Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Thu, 28 Oct 2021 00:02:12 +0500 Subject: [PATCH 112/232] Create Example for Exceptional Handling here is an example for exceptional handling this piece of code will open a file write data to it and close it there are 2 options 1. file found and task completed 2. file not found or read-only file so instead of a program crash or compilation error we use exceptions to avoid program termination --- Python/Example for Exceptional Handling | 8 ++++++++ 1 file changed, 8 insertions(+) create mode 100644 Python/Example for Exceptional Handling diff --git a/Python/Example for Exceptional Handling b/Python/Example for Exceptional Handling new file mode 100644 index 0000000..29b4531 --- /dev/null +++ b/Python/Example for Exceptional Handling @@ -0,0 +1,8 @@ +try: + fh = open("testfile", "w") + fh.write("This is my test file for exception handling!!") +except IOError: + print ("Error: can\'t find file or read data") +else: + print ("Written content in the file successfully") + fh.close() From 27612aefae07a7d9d644eed640b574d722172a6d Mon Sep 17 00:00:00 2001 From: eqrakhattak Date: Thu, 28 Oct 2021 02:39:40 +0500 Subject: [PATCH 113/232] Add eqra to contributors list --- Python/list with differnt items.py | 8 ++++++++ 1 file changed, 8 insertions(+) create mode 100644 Python/list with differnt items.py diff --git a/Python/list with differnt items.py b/Python/list with differnt items.py new file mode 100644 index 0000000..87fac45 --- /dev/null +++ b/Python/list with differnt items.py @@ -0,0 +1,8 @@ +print("Enter different types of inputs in the list") + +lst=[] +for i in range(0,5): + n = input() + lst.append(n) + +print(lst) From 2ecbe069d2804568a437942625e5d0a353396f2c Mon Sep 17 00:00:00 2001 From: MuhammadRafayKhan <31164804+MuhammadRafayKhan@users.noreply.github.com> Date: Thu, 28 Oct 2021 12:47:21 +0500 Subject: [PATCH 114/232] Depth First Traversal Depth First Traversal --- Python/graphs/DepthFirstTraversal | 23 +++++++++++++++++++++++ 1 file changed, 23 insertions(+) create mode 100644 Python/graphs/DepthFirstTraversal diff --git a/Python/graphs/DepthFirstTraversal b/Python/graphs/DepthFirstTraversal new file mode 100644 index 0000000..617f0cd --- /dev/null +++ b/Python/graphs/DepthFirstTraversal @@ -0,0 +1,23 @@ +class graph: + def __init__(self,gdict=None): + if gdict is None: + gdict = {} + self.gdict = gdict +# Check for the visisted and unvisited nodes +def dfs(graph, start, visited = None): + if visited is None: + visited = set() + visited.add(start) + print(start) + for next in graph[start] - visited: + dfs(graph, next, visited) + return visited + +gdict = { + "a" : set(["b","c"]), + "b" : set(["a", "d"]), + "c" : set(["a", "d"]), + "d" : set(["e"]), + "e" : set(["a"]) +} +dfs(gdict, 'a') From 5bc41ca50c66d6b12533d64ec1a4b347d3fa6bfd Mon Sep 17 00:00:00 2001 From: MuhammadRafayKhan <31164804+MuhammadRafayKhan@users.noreply.github.com> Date: Thu, 28 Oct 2021 12:49:46 +0500 Subject: [PATCH 115/232] Rename DepthFirstTraversal to DepthFirstTraversal.py --- Python/graphs/{DepthFirstTraversal => DepthFirstTraversal.py} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Python/graphs/{DepthFirstTraversal => DepthFirstTraversal.py} (100%) diff --git a/Python/graphs/DepthFirstTraversal b/Python/graphs/DepthFirstTraversal.py similarity index 100% rename from Python/graphs/DepthFirstTraversal rename to Python/graphs/DepthFirstTraversal.py From a6463eee8a6fcd9a1be02da9a1c88350f0b8117a Mon Sep 17 00:00:00 2001 From: MuhammadRafayKhan <31164804+MuhammadRafayKhan@users.noreply.github.com> Date: Thu, 28 Oct 2021 12:51:36 +0500 Subject: [PATCH 116/232] Breadth First Traversal Breadth First Traversal --- Python/graphs/BreadthFirstTraversal.py | 29 ++++++++++++++++++++++++++ 1 file changed, 29 insertions(+) create mode 100644 Python/graphs/BreadthFirstTraversal.py diff --git a/Python/graphs/BreadthFirstTraversal.py b/Python/graphs/BreadthFirstTraversal.py new file mode 100644 index 0000000..c630d01 --- /dev/null +++ b/Python/graphs/BreadthFirstTraversal.py @@ -0,0 +1,29 @@ +import collections +class graph: + def __init__(self,gdict=None): + if gdict is None: + gdict = {} + self.gdict = gdict +def bfs(graph, startnode): +# Track the visited and unvisited nodes using queue + seen, queue = set([startnode]), collections.deque([startnode]) + while queue: + vertex = queue.popleft() + marked(vertex) + for node in graph[vertex]: + if node not in seen: + seen.add(node) + queue.append(node) + +def marked(n): + print(n) + +# The graph dictionary +gdict = { + "a" : set(["b","c"]), + "b" : set(["a", "d"]), + "c" : set(["a", "d"]), + "d" : set(["e"]), + "e" : set(["a"]) +} +bfs(gdict, "a") From acf6b75b69be37b4aba30f115a87445a49acf4d6 Mon Sep 17 00:00:00 2001 From: MuhammadRafayKhan <31164804+MuhammadRafayKhan@users.noreply.github.com> Date: Thu, 28 Oct 2021 12:54:05 +0500 Subject: [PATCH 117/232] Creating a Heap Creating a Heap --- Python/heap/Creating.py | 6 ++++++ 1 file changed, 6 insertions(+) create mode 100644 Python/heap/Creating.py diff --git a/Python/heap/Creating.py b/Python/heap/Creating.py new file mode 100644 index 0000000..d0ed93d --- /dev/null +++ b/Python/heap/Creating.py @@ -0,0 +1,6 @@ +import heapq + +H = [21,1,45,78,3,5] +# Use heapify to rearrange the elements +heapq.heapify(H) +print(H) From ddc221981083b2eb55ceecdaec39e504b35fd4c4 Mon Sep 17 00:00:00 2001 From: MuhammadRafayKhan <31164804+MuhammadRafayKhan@users.noreply.github.com> Date: Thu, 28 Oct 2021 12:55:28 +0500 Subject: [PATCH 118/232] Inserting into heap Inserting into heap --- Python/heap/Inserting.py | 10 ++++++++++ 1 file changed, 10 insertions(+) create mode 100644 Python/heap/Inserting.py diff --git a/Python/heap/Inserting.py b/Python/heap/Inserting.py new file mode 100644 index 0000000..635053a --- /dev/null +++ b/Python/heap/Inserting.py @@ -0,0 +1,10 @@ +import heapq + +H = [21,1,45,78,3,5] +# Covert to a heap +heapq.heapify(H) +print(H) + +# Add element +heapq.heappush(H,8) +print(H) From 38a2b6f638411a641262e68e8d74fead6a77cf37 Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Thu, 28 Oct 2021 22:50:23 +0500 Subject: [PATCH 119/232] Rename Rolling a Dice to Rolling a Dice.py --- Python/{Rolling a Dice => Rolling a Dice.py} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Python/{Rolling a Dice => Rolling a Dice.py} (100%) diff --git a/Python/Rolling a Dice b/Python/Rolling a Dice.py similarity index 100% rename from Python/Rolling a Dice rename to Python/Rolling a Dice.py From 108d2f0ad30181fb95596e36f799b0ad27fd37fb Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Thu, 28 Oct 2021 22:52:00 +0500 Subject: [PATCH 120/232] Rename Example of regrassion to Example of regression.py --- Python/{Example of regrassion => Example of regression.py} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Python/{Example of regrassion => Example of regression.py} (100%) diff --git a/Python/Example of regrassion b/Python/Example of regression.py similarity index 100% rename from Python/Example of regrassion rename to Python/Example of regression.py From c9b9d3d4a585bb32213c2a4545c059d61678d024 Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Thu, 28 Oct 2021 22:53:29 +0500 Subject: [PATCH 121/232] Rename Example of Threading to Example of Threading.py --- Python/{Example of Threading => Example of Threading.py} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Python/{Example of Threading => Example of Threading.py} (100%) diff --git a/Python/Example of Threading b/Python/Example of Threading.py similarity index 100% rename from Python/Example of Threading rename to Python/Example of Threading.py From cff35cc8b1aa81d442e749e38f0f79ae00c0e916 Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Thu, 28 Oct 2021 22:55:45 +0500 Subject: [PATCH 122/232] Rename Example of regrassion to Example of regrassion.py --- Python/{Example of regrassion => Example of regrassion.py} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Python/{Example of regrassion => Example of regrassion.py} (100%) diff --git a/Python/Example of regrassion b/Python/Example of regrassion.py similarity index 100% rename from Python/Example of regrassion rename to Python/Example of regrassion.py From c66fec7ad56e4770e27ed2162607fea3091f3d91 Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Thu, 28 Oct 2021 23:29:36 +0500 Subject: [PATCH 123/232] Create Read_and_plot_CSV_Data.py it's just an example code how we can read a CSV file and plot its data in a form of a histogram --- Python/Read_and_plot_CSV_Data.py | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) create mode 100644 Python/Read_and_plot_CSV_Data.py diff --git a/Python/Read_and_plot_CSV_Data.py b/Python/Read_and_plot_CSV_Data.py new file mode 100644 index 0000000..98862fb --- /dev/null +++ b/Python/Read_and_plot_CSV_Data.py @@ -0,0 +1,19 @@ +import matplotlib.pyplot as plt # here we are importing matplot library to plot data +import csv # here we imported CSV library to read CSV file + +x = [] # here we declared an empty array variable +y = [] # here we declared an empty array variable + +with open('Example.csv','r') as csvfile: # here we open CSV file + plots = csv.reader(csvfile, delimiter = ',') # ploting csv file data + + for row in plots: + x.append(row[0]) # collecting data from rows and storing in array + y.append(int(row[2])) + +plt.bar(x, y, color = 'g', width = 0.72, label = "Age") #ploting data with Labels +plt.xlabel('Names') # declaring Labels +plt.ylabel('Ages') # declaring Labels +plt.title('Ages of different persons') # declaring Title +plt.legend() +plt.show() From 9bcc8653786c64ee7fb5dd0b3eab5f15abb462d3 Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Thu, 28 Oct 2021 23:31:17 +0500 Subject: [PATCH 124/232] Rename Example to connect MySQL data base to Example to connect MySQL data base.py --- ...nect MySQL data base => Example to connect MySQL data base.py} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Python/{Example to connect MySQL data base => Example to connect MySQL data base.py} (100%) diff --git a/Python/Example to connect MySQL data base b/Python/Example to connect MySQL data base.py similarity index 100% rename from Python/Example to connect MySQL data base rename to Python/Example to connect MySQL data base.py From 41b3ef4a83ad90b70a4a12ae0b489e7aa6cd2205 Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Fri, 29 Oct 2021 13:18:36 +0500 Subject: [PATCH 125/232] Rename Example for Exceptional Handling to Exception_handling.py --- .../{Example for Exceptional Handling => Exception_handling.py} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Python/{Example for Exceptional Handling => Exception_handling.py} (100%) diff --git a/Python/Example for Exceptional Handling b/Python/Exception_handling.py similarity index 100% rename from Python/Example for Exceptional Handling rename to Python/Exception_handling.py From 4d8a461589603e3fca7860e695dfe40a8a2c9cb9 Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Fri, 29 Oct 2021 13:20:24 +0500 Subject: [PATCH 126/232] Rename Example of Threading.py to Threading_Example.py --- Python/{Example of Threading.py => Threading_Example.py} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Python/{Example of Threading.py => Threading_Example.py} (100%) diff --git a/Python/Example of Threading.py b/Python/Threading_Example.py similarity index 100% rename from Python/Example of Threading.py rename to Python/Threading_Example.py From c79c8b5fc6cdaf002f36d745fb0dcaa2458322fe Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Fri, 29 Oct 2021 13:21:17 +0500 Subject: [PATCH 127/232] Rename Rolling a Dice.py to Rolling_Dice.py --- Python/{Rolling a Dice.py => Rolling_Dice.py} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Python/{Rolling a Dice.py => Rolling_Dice.py} (100%) diff --git a/Python/Rolling a Dice.py b/Python/Rolling_Dice.py similarity index 100% rename from Python/Rolling a Dice.py rename to Python/Rolling_Dice.py From 80927ffa64c3ee231ff45b9d5c7d390cac28de88 Mon Sep 17 00:00:00 2001 From: HumbalKK <45451264+HumbalKK@users.noreply.github.com> Date: Fri, 29 Oct 2021 13:23:09 +0500 Subject: [PATCH 128/232] Rename Example of regression.py to Regression_Example.py --- Python/{Example of regression.py => Regression_Example.py} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Python/{Example of regression.py => Regression_Example.py} (100%) diff --git a/Python/Example of regression.py b/Python/Regression_Example.py similarity index 100% rename from Python/Example of regression.py rename to Python/Regression_Example.py From 745a013e453c58a9793a87d5c9f40965449246cd Mon Sep 17 00:00:00 2001 From: MUHAMMAD KALEEM ULLAH <92902603+fa19bce007@users.noreply.github.com> Date: Sat, 30 Oct 2021 18:31:26 +0500 Subject: [PATCH 129/232] Create User_defined_Exception.cs --- C#/User_defined_Exception.cs | 43 ++++++++++++++++++++++++++++++++++++ 1 file changed, 43 insertions(+) create mode 100644 C#/User_defined_Exception.cs diff --git a/C#/User_defined_Exception.cs b/C#/User_defined_Exception.cs new file mode 100644 index 0000000..9624aeb --- /dev/null +++ b/C#/User_defined_Exception.cs @@ -0,0 +1,43 @@ +using System; +using System.Collections.Generic; +using System.Linq; +using System.Text; +using System.Threading.Tasks; + +namespace userdefined_Exception +{ + class Program + { + static void Main(string[] args) + { + try + { + int a = CheckAge(); + Console.WriteLine(a); + Console.ReadLine(); + } + catch (UserDefinedEX_AGE ex) + { + Console.WriteLine(ex.Message); + } + } + static int CheckAge() + { + Console.WriteLine(" ---Enter AGE--- "); + int age = Convert.ToInt32(Console.ReadLine()); + if (age <= 0) + { + throw new Exception("Age should be POSITIVE or at least Greater than 0"); + } + return age; + } + + public class UserDefinedEX_AGE : Exception + { + public UserDefinedEX_AGE(string msg) : base(msg) + { + + } + } + } +} From 2e4e150fa26a78afe85a816faaea8eaf8a714488 Mon Sep 17 00:00:00 2001 From: Ahmednae <91714237+Ahmednae@users.noreply.github.com> Date: Sun, 31 Oct 2021 02:18:57 +0500 Subject: [PATCH 130/232] Create square star pattern --- Javascript/square star pattern | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) create mode 100644 Javascript/square star pattern diff --git a/Javascript/square star pattern b/Javascript/square star pattern new file mode 100644 index 0000000..255457e --- /dev/null +++ b/Javascript/square star pattern @@ -0,0 +1,16 @@ +Run two nested for loops to create a square star pattern. Run each loop 'n' times, where 'n' is the number of rows/columns in the square, i.e. for(let i= 0;  i< n; i++). + +The internal loop will run for 'n' times, printing starts in a row and a newline at the end of the loop (n), whereas the outer loop will run the internal loop for 'n' times, printing starts in a column (n). +let n = 5; // row or column count +// defining an empty string +let string = ""; + +for(let i = 0; i < n; i++) { // external loop + for(let j = 0; j < n; j++) { // internal loop + string += "*"; + } + // newline after each row + string += "\n"; +} +// printing the string +console.log(string); From 6e5357c0fc299a7fa5b2b7c0ecf7d608624ab3e9 Mon Sep 17 00:00:00 2001 From: Ahmednae <91714237+Ahmednae@users.noreply.github.com> Date: Sun, 31 Oct 2021 02:23:33 +0500 Subject: [PATCH 131/232] Create Right Triangle Pattern --- Javascript/Right Triangle Pattern | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 Javascript/Right Triangle Pattern diff --git a/Javascript/Right Triangle Pattern b/Javascript/Right Triangle Pattern new file mode 100644 index 0000000..49a37ab --- /dev/null +++ b/Javascript/Right Triangle Pattern @@ -0,0 +1,15 @@ +To create a right triangle pattern in javascript, you'll need to work with three loops, one external and two internal. The external loop will execute internal loops 'n' times, and the internal loop will create a pattern for each row. +let n = 5; +let string = ""; +for (let i = 1; i <= n; i++) { + // printing spaces + for (let j = 0; j < n - i; j++) { + string += " "; + } + // printing star + for (let k = 0; k < i; k++) { + string += "*"; + } + string += "\n"; +} +console.log(string); From de73bc69f4b4bc752f317a86fc7ebde91c85b07a Mon Sep 17 00:00:00 2001 From: Ahmednae <91714237+Ahmednae@users.noreply.github.com> Date: Sun, 31 Oct 2021 02:27:52 +0500 Subject: [PATCH 132/232] Create Left triangle pattern --- Javascript/Left triangle pattern | 13 +++++++++++++ 1 file changed, 13 insertions(+) create mode 100644 Javascript/Left triangle pattern diff --git a/Javascript/Left triangle pattern b/Javascript/Left triangle pattern new file mode 100644 index 0000000..d131d75 --- /dev/null +++ b/Javascript/Left triangle pattern @@ -0,0 +1,13 @@ +To create the left triangle pattern in javascript, run two nested for loops. The external loop will take care of the pattern's columns, while the internal loop will print the pattern's rows. + +You can see from the pattern above that we need to run an external loop for 'n' times while the internal loop runs once in the first execution, twice in the second execution, and so on until 'n' times. + +let n = 5; +let string = ""; +for (let i = 1; i <= n; i++) { + for (let j = 0; j < i; j++) { + string += "*"; + } + string += "\n"; +} +console.log(string); From 68abb073fa44c033f13d67a07e34faf9610c1564 Mon Sep 17 00:00:00 2001 From: Ahmednae <91714237+Ahmednae@users.noreply.github.com> Date: Sun, 31 Oct 2021 02:31:14 +0500 Subject: [PATCH 133/232] Create hollow-triangle star --- Javascript/hollow-triangle star | 28 ++++++++++++++++++++++++++++ 1 file changed, 28 insertions(+) create mode 100644 Javascript/hollow-triangle star diff --git a/Javascript/hollow-triangle star b/Javascript/hollow-triangle star new file mode 100644 index 0000000..43b6734 --- /dev/null +++ b/Javascript/hollow-triangle star @@ -0,0 +1,28 @@ +To make a hollow triangle star pattern, follow these steps: + +Run two nested loops, the first for 'n' times and the second for one time for the first row, the second for two times for the second row, and so on until 'n' times. +Print a star for the first and last positions in each row, as well as a space for other positions. +In the final line, print a star in each position. +Example + +let n = 6; +let string = ""; + +for (let i = 1; i <= n; i++) { + // printing star + for (let j = 0; j < i; j++) { + if(i === n) { + string += "*"; + } + else { + if (j == 0 || j == i - 1) { + string += "*"; + } + else { + string += " "; + } + } + } + string += "\n"; +} +console.log(string); From 413933e34b8cebf960ee2461bd4a66d4ec7159c0 Mon Sep 17 00:00:00 2001 From: Ahmednae <91714237+Ahmednae@users.noreply.github.com> Date: Sun, 31 Oct 2021 02:38:55 +0500 Subject: [PATCH 134/232] Create hollow-triangle star --- Javascript/hollow-triangle star | 28 ++++++++++++++++++++++++++++ 1 file changed, 28 insertions(+) create mode 100644 Javascript/hollow-triangle star diff --git a/Javascript/hollow-triangle star b/Javascript/hollow-triangle star new file mode 100644 index 0000000..43b6734 --- /dev/null +++ b/Javascript/hollow-triangle star @@ -0,0 +1,28 @@ +To make a hollow triangle star pattern, follow these steps: + +Run two nested loops, the first for 'n' times and the second for one time for the first row, the second for two times for the second row, and so on until 'n' times. +Print a star for the first and last positions in each row, as well as a space for other positions. +In the final line, print a star in each position. +Example + +let n = 6; +let string = ""; + +for (let i = 1; i <= n; i++) { + // printing star + for (let j = 0; j < i; j++) { + if(i === n) { + string += "*"; + } + else { + if (j == 0 || j == i - 1) { + string += "*"; + } + else { + string += " "; + } + } + } + string += "\n"; +} +console.log(string); From ef8f867681b1f7cd53ba15e85184100741870eb7 Mon Sep 17 00:00:00 2001 From: hannarajput <93453228+hannarajput@users.noreply.github.com> Date: Sat, 30 Oct 2021 15:03:52 -0700 Subject: [PATCH 135/232] Create Simple-pattern --- C++/Simple-pattern | 35 +++++++++++++++++++++++++++++++++++ 1 file changed, 35 insertions(+) create mode 100644 C++/Simple-pattern diff --git a/C++/Simple-pattern b/C++/Simple-pattern new file mode 100644 index 0000000..14ae39e --- /dev/null +++ b/C++/Simple-pattern @@ -0,0 +1,35 @@ +// C++ code to demonstrate star pattern +#include +using namespace std; + +// Function to demonstrate printing pattern +void pypart(int n) +{ + // Outer loop to handle number of rows + // n in this case + int i = 0, j = 0; + while (i < n) { + + // Inner loop to handle number of columns + // values changing acc. to outer loop + while (j <= i) { + + // Printing stars + cout << "* "; + j++; + } + j = 0; // we have to reset j value so as it can + // start from beginning and print * equal to i. + i++; + // Ending line after each row + cout << endl; + } +} + +// Driver Code +int main() +{ + int n = 5; + pypart(n); + return 0; +} From 7e3fb00de10497fc55c9e080cc6ec709b5199d61 Mon Sep 17 00:00:00 2001 From: hannarajput <93453228+hannarajput@users.noreply.github.com> Date: Sat, 30 Oct 2021 15:05:50 -0700 Subject: [PATCH 136/232] Create triangle pattern --- C++/triangle pattern | 37 +++++++++++++++++++++++++++++++++++++ 1 file changed, 37 insertions(+) create mode 100644 C++/triangle pattern diff --git a/C++/triangle pattern b/C++/triangle pattern new file mode 100644 index 0000000..fd3e268 --- /dev/null +++ b/C++/triangle pattern @@ -0,0 +1,37 @@ +// C++ code to demonstrate star pattern +#include +using namespace std; + +// Function to demonstrate printing pattern +void pypart2(int n) +{ + int i = 0, j = 0, k = 0; + while (i < n) { + + // for spacing + while (k <= n - i - 2) { + cout << " "; + k++; + } + k = 0; + + // For Pattern printing + while (j < 2 * i - 1) { + cout << "*"; + j++; + } + j = 0; + i++; + cout << endl; + } +} + +// Driver Code +int main() +{ + int n = 5; + + // Function Call + pypart2(n); + return 0; +} From de07795d67cf8c85f370456cd4b42b6180a3f7e2 Mon Sep 17 00:00:00 2001 From: hannarajput <93453228+hannarajput@users.noreply.github.com> Date: Sat, 30 Oct 2021 15:08:03 -0700 Subject: [PATCH 137/232] Create heart-shape-pattern --- C++/heart-shape-pattern | 68 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 68 insertions(+) create mode 100644 C++/heart-shape-pattern diff --git a/C++/heart-shape-pattern b/C++/heart-shape-pattern new file mode 100644 index 0000000..bde8df7 --- /dev/null +++ b/C++/heart-shape-pattern @@ -0,0 +1,68 @@ +The program demonstrate that how to make a heart shape using for loop in C++ +#include +using namespace std; +int main() +{ + cout<<"\n\n\n\n\n"; + + for(int i=0;i<15;i++) + cout<<" "; + cout<<"* *"; + cout< Date: Sat, 30 Oct 2021 15:12:49 -0700 Subject: [PATCH 138/232] Create dice sum program --- C++/dice sum program | 27 +++++++++++++++++++++++++++ 1 file changed, 27 insertions(+) create mode 100644 C++/dice sum program diff --git a/C++/dice sum program b/C++/dice sum program new file mode 100644 index 0000000..3bb6723 --- /dev/null +++ b/C++/dice sum program @@ -0,0 +1,27 @@ +Consider the following three C++ programmes. The first programme is fairly basic, consisting of a function called 'dice' that adds the face values of two dice. The 'dice' function was then called into the main function. The result is saved in an array in the second programme. We then used that array in the third programme to count each possible total of the two dices (2 to 12). + +In C++, create a function 'dice' that simulates the throwing of two dice and returns the sum of their face values as an int. + +Create a C++ function called 'getResult' that saves the result of the function 'dice' as an array. + +#include +#include +#include +using namespace std; +int dice(); +int main() +{ +srand(time(0)); +for (int i =0; i<10; i++) +{ +int number = dice(); +cout << number << endl; +} +} +int dice() +{ +int dice1 = (int)(1+(rand()%6)); +int dice2 = (int)(1+(rand()%6)); +int diceSum = dice1 + dice2; +return diceSum; +} From f6ac5a47c5aac164f3b9faa6270737a73b851764 Mon Sep 17 00:00:00 2001 From: QuratAin Date: Sun, 31 Oct 2021 11:31:32 +0500 Subject: [PATCH 139/232] Added new Js code --- Javascript/Animations.js | 18 ++++++++++++++++++ Javascript/index.html | 31 +++++++++++++++++++++++++++++++ 2 files changed, 49 insertions(+) create mode 100644 Javascript/Animations.js create mode 100644 Javascript/index.html diff --git a/Javascript/Animations.js b/Javascript/Animations.js new file mode 100644 index 0000000..d53ba9e --- /dev/null +++ b/Javascript/Animations.js @@ -0,0 +1,18 @@ +function myAnimation(){ + let id = null; + const box = document.getElementById("animationBox"); + let pos = 0; + clearInterval(id); + id = setInterval(frame, 5); + + function frame(){ + if(pos == 350){ + clearInterval(id); + } + else{ + pos++; + box.style.top = pos + "px"; + box.style.left = pos + "px"; + } + } +} \ No newline at end of file diff --git a/Javascript/index.html b/Javascript/index.html new file mode 100644 index 0000000..6a1dcc3 --- /dev/null +++ b/Javascript/index.html @@ -0,0 +1,31 @@ + + + + + + + + Javascript HTML DOM Animations + + + +

+
+
+
+
+ + \ No newline at end of file From 76fb890cfdad14d736e662895cdec107c0a93aa7 Mon Sep 17 00:00:00 2001 From: Qurat Ul Ain Shoro <65081454+QuratAin@users.noreply.github.com> Date: Sun, 31 Oct 2021 11:52:16 +0500 Subject: [PATCH 140/232] Add files via upload --- Javascript/Animations.js | 18 ++++++++++++++++++ Javascript/index.html | 31 +++++++++++++++++++++++++++++++ 2 files changed, 49 insertions(+) create mode 100644 Javascript/Animations.js create mode 100644 Javascript/index.html diff --git a/Javascript/Animations.js b/Javascript/Animations.js new file mode 100644 index 0000000..1c20952 --- /dev/null +++ b/Javascript/Animations.js @@ -0,0 +1,18 @@ +function myAnimation(){ + let id = null; + const box = document.getElementById("animationBox"); + let pos = 0; + clearInterval(id); + id = setInterval(frame, 5); + + function frame(){ + if(pos == 350){ + clearInterval(id); + } + else{ + pos++; + box.style.top = pos + "px"; + box.style.left = pos + "px"; + } + } +} \ No newline at end of file diff --git a/Javascript/index.html b/Javascript/index.html new file mode 100644 index 0000000..3349d53 --- /dev/null +++ b/Javascript/index.html @@ -0,0 +1,31 @@ + + + + + + + + Javascript HTML DOM Animations + + + +

+
+
+
+
+ + \ No newline at end of file From 0299ad49d5750b0b787fc2b86a60bef6ca0d1368 Mon Sep 17 00:00:00 2001 From: QuratAin Date: Sun, 31 Oct 2021 12:16:49 +0500 Subject: [PATCH 141/232] JS graphics using Charts.js --- Javascript/JSCharts.html | 55 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 55 insertions(+) create mode 100644 Javascript/JSCharts.html diff --git a/Javascript/JSCharts.html b/Javascript/JSCharts.html new file mode 100644 index 0000000..bcfeadc --- /dev/null +++ b/Javascript/JSCharts.html @@ -0,0 +1,55 @@ + + + + + +

Chart.js comes with the following built-in chart types:

+
    +
  • Scatter
  • +
  • Line
  • +
  • Bar
  • +
  • Radar
  • +
  • Pie and Doughnut
  • +
  • Polar Area
  • +
  • Bubble
  • +
+

Following is the example of a Scatter Plot


+ + + + + + + From ab78b7b0664f70f7f4123c2976e35f3a53c540c2 Mon Sep 17 00:00:00 2001 From: Aqsa Umar Date: Sun, 31 Oct 2021 12:18:26 +0500 Subject: [PATCH 142/232] GGPLOTS --- R-Programming/GGPLOTS | 21 +++++++++++++++++++++ 1 file changed, 21 insertions(+) create mode 100644 R-Programming/GGPLOTS diff --git a/R-Programming/GGPLOTS b/R-Programming/GGPLOTS new file mode 100644 index 0000000..5fd2cc8 --- /dev/null +++ b/R-Programming/GGPLOTS @@ -0,0 +1,21 @@ +install.packages("ggplot2") +library(ggplot2) +help("ggplot") +x <- iris +#ggplot(data=x,aes(x=x$Species, y=x$sepal.length, fill=x$Species))+ + # geom_boxplot() + + +ggplot(data = x, aes(x=x$Species, y=x$Sepal.Length, fill=x$Species))+ + geom_boxplot()+ + labs(title = "Bar plot of iris", x="Species", y="Sepal length(cm)" + ,fill="Species") + +#barplot +ggplot(data = x, aes(x=x$Species, y=x$Sepal.Length, fill=x$Species))+ + geom_bar(position="dodge", stat="identity")+ + facet_wrap(~x$Species)+ + labs(title = "Bar plot of iris", x="Species", y="Sepal length(cm)" + ,fill="Species") +help("ggplot") + From 7570cb1b8d75eee6650abb93f86479dd75fe4cc5 Mon Sep 17 00:00:00 2001 From: Qurat Ul Ain Shoro <65081454+QuratAin@users.noreply.github.com> Date: Sun, 31 Oct 2021 12:23:26 +0500 Subject: [PATCH 143/232] JS graphs using Chart.js --- Javascript/JSCharts.html | 55 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 55 insertions(+) create mode 100644 Javascript/JSCharts.html diff --git a/Javascript/JSCharts.html b/Javascript/JSCharts.html new file mode 100644 index 0000000..d4e4786 --- /dev/null +++ b/Javascript/JSCharts.html @@ -0,0 +1,55 @@ + + + + + +

Chart.js comes with the following built-in chart types:

+
    +
  • Scatter
  • +
  • Line
  • +
  • Bar
  • +
  • Radar
  • +
  • Pie and Doughnut
  • +
  • Polar Area
  • +
  • Bubble
  • +
+

Following is the example of a Scatter Plot


+ + + + + + + From ce186d74888a256db19d3fd4c29b78a20693c97e Mon Sep 17 00:00:00 2001 From: Qurat Ul Ain Shoro <65081454+QuratAin@users.noreply.github.com> Date: Sun, 31 Oct 2021 12:24:51 +0500 Subject: [PATCH 144/232] Delete JSCharts.html --- Javascript/JSCharts.html | 55 ---------------------------------------- 1 file changed, 55 deletions(-) delete mode 100644 Javascript/JSCharts.html diff --git a/Javascript/JSCharts.html b/Javascript/JSCharts.html deleted file mode 100644 index d4e4786..0000000 --- a/Javascript/JSCharts.html +++ /dev/null @@ -1,55 +0,0 @@ - - - - - -

Chart.js comes with the following built-in chart types:

-
    -
  • Scatter
  • -
  • Line
  • -
  • Bar
  • -
  • Radar
  • -
  • Pie and Doughnut
  • -
  • Polar Area
  • -
  • Bubble
  • -
-

Following is the example of a Scatter Plot


- - - - - - - From 7c5bf67f7c78e771cf649fd6c021fd9782f58016 Mon Sep 17 00:00:00 2001 From: QuratAin Date: Sun, 31 Oct 2021 12:47:29 +0500 Subject: [PATCH 145/232] JS calculator --- Javascript/JsCalculator.html | 71 ++++++++++++++++++++++++++++++++++++ 1 file changed, 71 insertions(+) create mode 100644 Javascript/JsCalculator.html diff --git a/Javascript/JsCalculator.html b/Javascript/JsCalculator.html new file mode 100644 index 0000000..abbd33c --- /dev/null +++ b/Javascript/JsCalculator.html @@ -0,0 +1,71 @@ + + + +

JS Calculator

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + From b87e6665d167e831a72ed8e150a2a3767ac3ac10 Mon Sep 17 00:00:00 2001 From: Qurat Ul Ain Shoro <65081454+QuratAin@users.noreply.github.com> Date: Sun, 31 Oct 2021 13:00:49 +0500 Subject: [PATCH 146/232] JS calculator using global JS functions --- Javascript/JsCalculator.html | 71 ++++++++++++++++++++++++++++++++++++ 1 file changed, 71 insertions(+) create mode 100644 Javascript/JsCalculator.html diff --git a/Javascript/JsCalculator.html b/Javascript/JsCalculator.html new file mode 100644 index 0000000..1298e03 --- /dev/null +++ b/Javascript/JsCalculator.html @@ -0,0 +1,71 @@ + + + +

JS Calculator

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + From 8e4891f63bed4554c1ea8afec171decc574bb8a0 Mon Sep 17 00:00:00 2001 From: codewithwaqar <88764001+codewithwaqar@users.noreply.github.com> Date: Sun, 31 Oct 2021 13:19:15 +0500 Subject: [PATCH 147/232] CallableClass Basic Example of CallableClass --- Dart/CallableClass.dart | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) create mode 100644 Dart/CallableClass.dart diff --git a/Dart/CallableClass.dart b/Dart/CallableClass.dart new file mode 100644 index 0000000..b70e91c --- /dev/null +++ b/Dart/CallableClass.dart @@ -0,0 +1,19 @@ +/* + * Dart allows the user to create a callable class which allows the + * instance of the class to be called as a function. To allow an + * instance of your Dart class to be called like a function, implement + * the call() method. + */ +void main() { + Student std1 = Student(); + int age = std1('Waqar Ali Siyal', 21); + print(age); +} + +class Student { + int call(String name, int age) { +// print('This is call method'); +// print('$name $age'); + return age; + } +} From baa47c06aae4977d699dbc0f4df10965c73e8368 Mon Sep 17 00:00:00 2001 From: Qurat Ul Ain Shoro <65081454+QuratAin@users.noreply.github.com> Date: Sun, 31 Oct 2021 13:20:48 +0500 Subject: [PATCH 148/232] Delete Animations.js --- Javascript/Animations.js | 18 ------------------ 1 file changed, 18 deletions(-) delete mode 100644 Javascript/Animations.js diff --git a/Javascript/Animations.js b/Javascript/Animations.js deleted file mode 100644 index 1c20952..0000000 --- a/Javascript/Animations.js +++ /dev/null @@ -1,18 +0,0 @@ -function myAnimation(){ - let id = null; - const box = document.getElementById("animationBox"); - let pos = 0; - clearInterval(id); - id = setInterval(frame, 5); - - function frame(){ - if(pos == 350){ - clearInterval(id); - } - else{ - pos++; - box.style.top = pos + "px"; - box.style.left = pos + "px"; - } - } -} \ No newline at end of file From 9b065e3bed536e105bd41ad52b982c52b98f4dd4 Mon Sep 17 00:00:00 2001 From: Qurat Ul Ain Shoro <65081454+QuratAin@users.noreply.github.com> Date: Sun, 31 Oct 2021 13:20:59 +0500 Subject: [PATCH 149/232] Delete index.html --- Javascript/index.html | 31 ------------------------------- 1 file changed, 31 deletions(-) delete mode 100644 Javascript/index.html diff --git a/Javascript/index.html b/Javascript/index.html deleted file mode 100644 index 3349d53..0000000 --- a/Javascript/index.html +++ /dev/null @@ -1,31 +0,0 @@ - - - - - - - - Javascript HTML DOM Animations - - - -

-
-
-
-
- - \ No newline at end of file From f58e00e83a1b39b119a186e13ff6f8465ae01447 Mon Sep 17 00:00:00 2001 From: codewithwaqar <88764001+codewithwaqar@users.noreply.github.com> Date: Sun, 31 Oct 2021 13:23:12 +0500 Subject: [PATCH 150/232] Closures Basic Example of Closures in Dart --- Dart/ClosuresInDart.dart | 26 ++++++++++++++++++++++++++ 1 file changed, 26 insertions(+) create mode 100644 Dart/ClosuresInDart.dart diff --git a/Dart/ClosuresInDart.dart b/Dart/ClosuresInDart.dart new file mode 100644 index 0000000..8acd6d4 --- /dev/null +++ b/Dart/ClosuresInDart.dart @@ -0,0 +1,26 @@ +// The values of parent scope variables can be modified within a closure + +void main() { + // A closure is a function that has access to the parent scope, even after the + // scope has closed + String msg = 'Hello'; + Function greet = () { + msg = 'Good Night'; + print(msg); + }; + greet(); + + // A closure is a function object that has access to variables in its lexical scope, even + // when the function is used outside of its original scope + Function outsideFunc = () { + String msg = 'Outside Func'; + Function insideFunc = () { + msg = 'Inside Func'; + print(msg); + }; + return insideFunc; + }; + + Function funcObj = outsideFunc(); // inside Func + funcObj(); // Calling insideFunc +} From 5e7f88872e7675af2122650fa2a8ee445bbacd3b Mon Sep 17 00:00:00 2001 From: codewithwaqar <88764001+codewithwaqar@users.noreply.github.com> Date: Sun, 31 Oct 2021 13:26:41 +0500 Subject: [PATCH 151/232] Fixed Length List Example of Fixed Length List --- Dart/FixedLengthList.dart | 41 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 41 insertions(+) create mode 100644 Dart/FixedLengthList.dart diff --git a/Dart/FixedLengthList.dart b/Dart/FixedLengthList.dart new file mode 100644 index 0000000..32d4f69 --- /dev/null +++ b/Dart/FixedLengthList.dart @@ -0,0 +1,41 @@ +/* + * List is a collection of items. A list is referenced by a variable name. The items in the + * list can be accessed using index. Index starts with 0. + * Types of List + * 1. Fixed Length List + * 2. Growable List + * In this video we will cover Fixed Length List +*/ +void main() { + // Understand List + // 5 elements, index from 0 - 4 + // 8 elements, index from 0 - 7 + // 0 - First Element + // 1 - Second Element + // and so on upto (length of list - 1) +// var oddNums = List(5); +// print(oddNums[0]); + var oddNums = List.filled(5, 0); +// oddNums.length = 10; // error +// oddNums.add(1); // error + oddNums[0] = 1; + oddNums[1] = 3; + oddNums[2] = 5; + oddNums[3] = 7; + oddNums[4] = 9; + +// print(oddNums[3]); + + // Print all elements using for loop +// for(int i=0; i print(element)); +} From 1ce4364a1998aa88d85e3e4cab1288076dd40770 Mon Sep 17 00:00:00 2001 From: codewithwaqar <88764001+codewithwaqar@users.noreply.github.com> Date: Sun, 31 Oct 2021 13:29:27 +0500 Subject: [PATCH 152/232] Growable List Example of Growable List --- Dart/GrowableList.dart | 63 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 63 insertions(+) create mode 100644 Dart/GrowableList.dart diff --git a/Dart/GrowableList.dart b/Dart/GrowableList.dart new file mode 100644 index 0000000..5fa3306 --- /dev/null +++ b/Dart/GrowableList.dart @@ -0,0 +1,63 @@ +/* + * List is a collection of items. A list is referenced by a variable name. The items in the + * list can be accessed using index. Index starts with 0. + * Types of List + * 1. Fixed Length List + * 2. Growable List + * In this video we will cover Growable List +*/ +void main() { + // Understand List + // 5 elements, index from 0 - 4 + // 8 elements, index from 0 - 7 + // 0 - First Element + // 1 - Second Element + // and so on upto (length of list - 1) + List oddNums = []; + oddNums.add(1); + oddNums.add(3); + oddNums.add(5); + oddNums.add(7); + oddNums.add(9); +// print(oddNums.length); +// print(oddNums); + +// oddNums.remove(3); +// print(oddNums.length); +// print(oddNums); + +// oddNums.removeAt(2); +// print(oddNums.length); +// print(oddNums); + +// oddNums.add(11); +// print(oddNums); + +// oddNums.insert(1, 3); +// oddNums.insert(3, 7); +// print(oddNums); + +// oddNums.clear(); +// print(oddNums); + +// print(oddNums[3]); + + // Print all elements using for loop +// for(int i=0; i print(element)); + + var weekDays = ['Monday', 'Tuesday', 'Wednesday']; + weekDays.add('Thursday'); + weekDays.add('Friday'); + print(weekDays.length); + print(weekDays); +} From 78c4fa6720ed372caeaa45fe6da387af0f9bf654 Mon Sep 17 00:00:00 2001 From: codewithwaqar <88764001+codewithwaqar@users.noreply.github.com> Date: Sun, 31 Oct 2021 13:35:14 +0500 Subject: [PATCH 153/232] Map Example of Map in Dart --- Dart/Map.dart | 53 +++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 53 insertions(+) create mode 100644 Dart/Map.dart diff --git a/Dart/Map.dart b/Dart/Map.dart new file mode 100644 index 0000000..0ab5788 --- /dev/null +++ b/Dart/Map.dart @@ -0,0 +1,53 @@ +/* + * The Map object is a simple key/value pair. Keys and values in a map may be of + * any type. A Map is a dynamic collection. In other words, Maps can grow and shrink + * at runtime. + * Maps can be declared in two ways: + * 1. Using a Map constructor + * 2. Using Map Literals + * + * Note: + * -> Key has to be unique + * -> Value can be duplicate +*/ +void main() { + // Using map constructor + var squares = Map(); + squares['1'] = 1; + squares['2'] = 4; + squares['3'] = 9; + squares['4'] = 16; + squares['5'] = 25; + +// print(squares); + + // print all keys +// for(var key in squares.keys) { +// print(key); +// } + + // print all values +// for(var value in squares.values) { +// print(value); +// } + + // print all key value pairs +// squares.forEach((key, value) => print('Key: $key, value: $value')); + + print(squares.containsKey('3')); + print(squares.isEmpty); + print(squares.length); + + squares.remove('4'); + print(squares); + + // Using map literal + var userMap = { + 'name' : 'Waqar Ali Siyal', + 'age' : 21, + 'rollNo' : '18SW82', + }; + +// print(userMap); +// print(userMap['name']); +} From eb03266cdd7b56514af06f5f915f6627bd9adcfe Mon Sep 17 00:00:00 2001 From: codewithwaqar <88764001+codewithwaqar@users.noreply.github.com> Date: Sun, 31 Oct 2021 13:36:13 +0500 Subject: [PATCH 154/232] Set Example of Set in Dart --- Dart/Set.dart | 50 ++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 50 insertions(+) create mode 100644 Dart/Set.dart diff --git a/Dart/Set.dart b/Dart/Set.dart new file mode 100644 index 0000000..57200dc --- /dev/null +++ b/Dart/Set.dart @@ -0,0 +1,50 @@ +/* + * In Dart, Set is a unordered list of distinct values of same types. Set is + * much similar to an array but it is unordered and won’t allows duplicate elements, + * each value contained in a set is unique. You cannot get elements by index, since the + * items are unordered. + * There are two ways we can declare/initialize an empty set, use {} preceded by a + * type argument, or assign {} to a variable of type Set. + * 1. var setName = {}; + * 2. Set setName = {}; + * Note: The syntax for map literals is similar to that for set literals. If you + * forget the type annotation with {} or with the variable it’s assigned to, + * then Dart would creates an Map object instead of Set. +*/ +void main() { + var oddNums = {}; + oddNums.add(1); + oddNums.add(3); + oddNums.add(5); + oddNums.add(7); + + oddNums.add(3); // Duplicate entries are ignored + + print(oddNums); + + Set evenNums = {2, 4, 6, 8, 4, 10}; + evenNums.add(12); + print(evenNums); + + print(evenNums.contains(6)); + print(oddNums.contains(2)); + + evenNums.remove(12); + print(evenNums); + + print(evenNums.isEmpty); + evenNums.clear(); + print(evenNums); + print(oddNums.length); + + oddNums.addAll({9,11,13}); + print(oddNums); + + // Set from List + var weekDays = ['Monday', 'Tuesday', 'Wednesday']; + var weekDaysSet = Set.from(weekDays); + print(weekDaysSet); + weekDaysSet.add('Friday'); + weekDaysSet.add('Thursday'); + print(weekDaysSet); +} From 7bbc581674c11ea005c564d667a96392f95c1581 Mon Sep 17 00:00:00 2001 From: QuratAin Date: Sun, 31 Oct 2021 13:44:15 +0500 Subject: [PATCH 155/232] Added code to create graphs using chart.js --- Javascript/JSCharts.html | 1 + 1 file changed, 1 insertion(+) diff --git a/Javascript/JSCharts.html b/Javascript/JSCharts.html index bcfeadc..1e9cd04 100644 --- a/Javascript/JSCharts.html +++ b/Javascript/JSCharts.html @@ -2,6 +2,7 @@ +Chart.js

Chart.js comes with the following built-in chart types:

    From 2dc8762f64b54552a2ef6421020ee1855dd45e94 Mon Sep 17 00:00:00 2001 From: QuratAin Date: Sun, 31 Oct 2021 14:15:30 +0500 Subject: [PATCH 156/232] Added code to create graphs using chart.js --- Javascript/JSCharts.html | 11 +---------- 1 file changed, 1 insertion(+), 10 deletions(-) diff --git a/Javascript/JSCharts.html b/Javascript/JSCharts.html index 1e9cd04..787d6cc 100644 --- a/Javascript/JSCharts.html +++ b/Javascript/JSCharts.html @@ -4,16 +4,7 @@ Chart.js -

    Chart.js comes with the following built-in chart types:

    -
      -
    • Scatter
    • -
    • Line
    • -
    • Bar
    • -
    • Radar
    • -
    • Pie and Doughnut
    • -
    • Polar Area
    • -
    • Bubble
    • -
    +

    Chart.js comes with built-in chart types.

    Following is the example of a Scatter Plot


    From 250d1a23affdda9f049874f0718864b42a013c64 Mon Sep 17 00:00:00 2001 From: msidrisi91 Date: Sun, 31 Oct 2021 14:47:28 +0530 Subject: [PATCH 157/232] Added Python Programs --- Python/firstandlastelementinsortedarray.py | 50 +++++++++++++++ Python/foursum.py | 53 ++++++++++++++++ Python/generateparanthesis.py | 29 +++++++++ Python/lowestcommonancestor.py | 55 +++++++++++++++++ Python/mergeKLL.py | 71 ++++++++++++++++++++++ Python/mergeLL.py | 43 +++++++++++++ Python/partitiondisjoint.py | 45 ++++++++++++++ Python/searchhinsortedarray.py | 10 +++ Python/sudoku_solver.py | 63 +++++++++++++++++++ Python/sumequalszero.py | 55 +++++++++++++++++ Python/threesumclosest.py | 34 +++++++++++ 11 files changed, 508 insertions(+) create mode 100644 Python/firstandlastelementinsortedarray.py create mode 100644 Python/foursum.py create mode 100644 Python/generateparanthesis.py create mode 100644 Python/lowestcommonancestor.py create mode 100644 Python/mergeKLL.py create mode 100644 Python/mergeLL.py create mode 100644 Python/partitiondisjoint.py create mode 100644 Python/searchhinsortedarray.py create mode 100644 Python/sudoku_solver.py create mode 100644 Python/sumequalszero.py create mode 100644 Python/threesumclosest.py diff --git a/Python/firstandlastelementinsortedarray.py b/Python/firstandlastelementinsortedarray.py new file mode 100644 index 0000000..2b7423b --- /dev/null +++ b/Python/firstandlastelementinsortedarray.py @@ -0,0 +1,50 @@ +""" +Given an array of integers nums sorted in ascending order, find the starting and ending position of a given target value. + +If target is not found in the array, return [-1, -1]. + +You must write an algorithm with O(log n) runtime complexity. + + + +Example 1: + +Input: nums = [5,7,7,8,8,10], target = 8 +Output: [3,4] +Example 2: + +Input: nums = [5,7,7,8,8,10], target = 6 +Output: [-1,-1] +Example 3: + +Input: nums = [], target = 0 +Output: [-1,-1] + + +Constraints: + +0 <= nums.length <= 105 +-109 <= nums[i] <= 109 +nums is a non-decreasing array. +-109 <= target <= 109 +""" + +class Solution: + def searchRange(self, nums: List[int], target: int) -> List[int]: + if not nums: + return [-1,-1] + left, right = 0, len(nums)-1 + while left <= right: + mid = (left+right)//2 + if nums[mid] == target: + left, right = mid, mid + while left-1 >= 0 and nums[left-1] == target: + left -= 1 + while right+1 <= len(nums)-1 and nums[right+1] == target: + right += 1 + return [left, right] + elif nums[mid] < target: + left = mid+1 + else: + right = mid-1 + return [-1,-1] \ No newline at end of file diff --git a/Python/foursum.py b/Python/foursum.py new file mode 100644 index 0000000..fe1aaa7 --- /dev/null +++ b/Python/foursum.py @@ -0,0 +1,53 @@ +''' +Given an array nums of n integers, return an array of all the unique quadruplets [nums[a], nums[b], nums[c], nums[d]] such that: + +0 <= a, b, c, d < n +a, b, c, and d are distinct. +nums[a] + nums[b] + nums[c] + nums[d] == target +You may return the answer in any order. + + + +Example 1: + +Input: nums = [1,0,-1,0,-2,2], target = 0 +Output: [[-2,-1,1,2],[-2,0,0,2],[-1,0,0,1]] +Example 2: + +Input: nums = [2,2,2,2,2], target = 8 +Output: [[2,2,2,2]] + + +Constraints: + +1 <= nums.length <= 200 +-109 <= nums[i] <= 109 +-109 <= target <= 109 +''' + +class Solution: + def fourSum(self, nums: List[int], target: int) -> List[List[int]]: + nums.sort() + res = [] + for i in range(len(nums)-3): + if i > 0 and nums[i] == nums[i-1]: + continue + for j in range(i+1, len(nums)-2): + if j > i+1 and nums[j] == nums[j-1]: + continue + l, r = j+1, len(nums)-1 + while l < r: + s = nums[i] + nums[j] + nums[l] + nums[r] + if s == target: + res.append([nums[i], nums[j], nums[l], nums[r]]) + l += 1 + r -= 1 + while l < r and nums[l] == nums[l-1]: + l += 1 + while l < r and nums[r] == nums[r+1]: + r -= 1 + elif s < target: + l += 1 + else: + r -= 1 + return res \ No newline at end of file diff --git a/Python/generateparanthesis.py b/Python/generateparanthesis.py new file mode 100644 index 0000000..3544eb1 --- /dev/null +++ b/Python/generateparanthesis.py @@ -0,0 +1,29 @@ +""" +Given n pairs of parentheses, write a function to generate all combinations of well-formed parentheses. + +Example 1: + +Input: n = 3 +Output: ["((()))","(()())","(())()","()(())","()()()"] +Example 2: + +Input: n = 1 +Output: ["()"] + + +Constraints: + +1 <= n <= 8 +""" + +class Solution: + def generateParenthesis(self, n: int) -> List[str]: + def generate(p, left, right, parens=[]): + if left: + generate(p + '(', left - 1, right) + if right > left: + generate(p + ')', left, right - 1) + if not right: + parens += p, + return parens + return generate('', n, n) \ No newline at end of file diff --git a/Python/lowestcommonancestor.py b/Python/lowestcommonancestor.py new file mode 100644 index 0000000..ae1606d --- /dev/null +++ b/Python/lowestcommonancestor.py @@ -0,0 +1,55 @@ +Given a binary search tree (BST), find the lowest common ancestor (LCA) of two given nodes in the BST. + +According to the definition of LCA on Wikipedia: “The lowest common ancestor is defined between two nodes p and q as the lowest node in T that has both p and q as descendants (where we allow a node to be a descendant of itself).” + + + +Example 1: + + +Input: root = [6,2,8,0,4,7,9,null,null,3,5], p = 2, q = 8 +Output: 6 +Explanation: The LCA of nodes 2 and 8 is 6. +Example 2: + + +# Input: root = [6,2,8,0,4,7,9,null,null,3,5], p = 2, q = 4 +# Output: 2 +# Explanation: The LCA of nodes 2 and 4 is 2, since a node can be a descendant of itself according to the LCA definition. +# Example 3: + +# Input: root = [2,1], p = 2, q = 1 +# Output: 2 + + +# Constraints: + +# The number of nodes in the tree is in the range [2, 105]. +# -109 <= Node.val <= 109 +# All Node.val are unique. +# p != q +# p and q will exist in the BST. + +# Definition for a binary tree node. +class TreeNode: + def __init__(self, x): + self.val = x + self.left = None + self.right = None + +class Solution: + def lowestCommonAncestor(self, root: TreeNode, p: TreeNode, q: TreeNode) -> TreeNode: + if not root: + return None + if root == p or root == q: + return root + left = self.lowestCommonAncestor(root.left, p, q) + right = self.lowestCommonAncestor(root.right, p, q) + if left and right: + return root + if left: + return left + if right: + return right + return None + diff --git a/Python/mergeKLL.py b/Python/mergeKLL.py new file mode 100644 index 0000000..cdfbce3 --- /dev/null +++ b/Python/mergeKLL.py @@ -0,0 +1,71 @@ +""" +You are given an array of k linked-lists lists, each linked-list is sorted in ascending order. + +Merge all the linked-lists into one sorted linked-list and return it. + + + +Example 1: + +Input: lists = [[1,4,5],[1,3,4],[2,6]] +Output: [1,1,2,3,4,4,5,6] +Explanation: The linked-lists are: +[ + 1->4->5, + 1->3->4, + 2->6 +] +merging them into one sorted list: +1->1->2->3->4->4->5->6 +Example 2: + +Input: lists = [] +Output: [] +Example 3: + +Input: lists = [[]] +Output: [] + + +Constraints: + +k == lists.length +0 <= k <= 10^4 +0 <= lists[i].length <= 500 +-10^4 <= lists[i][j] <= 10^4 +lists[i] is sorted in ascending order. +The sum of lists[i].length won't exceed 10^4. +""" + +Definition for singly-linked list. +class ListNode: + def __init__(self, val=0, next=None): + self.val = val + self.next = next + +class Solution: + def merge(left, right): + dummy = ListNode(0) + head = dummy + while left and right: + if left.val < right.val: + head.next = left + left = left.next + else: + head.next = right + right = right.next + head = head.next + if left: + head.next = left + if right: + head.next = right + return dummy.next + def mergeKLists(self, lists: List[ListNode]) -> ListNode: + if not lists: + return None + if len(lists) == 1: + return lists[0] + mid = len(lists) // 2 + left = self.mergeKLists(lists[:mid]) + right = self.mergeKLists(lists[mid:]) + return self.merge(left, right) \ No newline at end of file diff --git a/Python/mergeLL.py b/Python/mergeLL.py new file mode 100644 index 0000000..4ebfd05 --- /dev/null +++ b/Python/mergeLL.py @@ -0,0 +1,43 @@ +""" +Merge two sorted linked lists and return it as a sorted list. The list should be made by splicing together the nodes of the first two lists. + + + +Example 1: + + +Input: l1 = [1,2,4], l2 = [1,3,4] +Output: [1,1,2,3,4,4] +Example 2: + +Input: l1 = [], l2 = [] +Output: [] +Example 3: + +Input: l1 = [], l2 = [0] +Output: [0] + + +Constraints: + +The number of nodes in both lists is in the range [0, 50]. +-100 <= Node.val <= 100 +Both l1 and l2 are sorted in non-decreasing order. +""" +# Definition for singly-linked list. +class ListNode: + def __init__(self, val=0, next=None): + self.val = val + self.next = next +class Solution: + def mergeTwoLists(self, l1: ListNode, l2: ListNode) -> ListNode: + if l1 is None: + return l2 + if l2 is None: + return l1 + if l1.val < l2.val: + l1.next = self.mergeTwoLists(l1.next, l2) + return l1 + else: + l2.next = self.mergeTwoLists(l1, l2.next) + return l2 \ No newline at end of file diff --git a/Python/partitiondisjoint.py b/Python/partitiondisjoint.py new file mode 100644 index 0000000..d32243a --- /dev/null +++ b/Python/partitiondisjoint.py @@ -0,0 +1,45 @@ +""" +Given an array nums, partition it into two (contiguous) subarrays left and right so that: + +Every element in left is less than or equal to every element in right. +left and right are non-empty. +left has the smallest possible size. +Return the length of left after such a partitioning. It is guaranteed that such a partitioning exists. + + + +Example 1: + +Input: nums = [5,0,3,8,6] +Output: 3 +Explanation: left = [5,0,3], right = [8,6] +Example 2: + +Input: nums = [1,1,1,0,6,12] +Output: 4 +Explanation: left = [1,1,1,0], right = [6,12] + + +Note: + +2 <= nums.length <= 30000 +0 <= nums[i] <= 106 +It is guaranteed there is at least one way to partition nums as described. + +""" + +class Solution: + def partitionDisjoint(self, nums: List[int]) -> int: + n = len(nums) + if n == 0: return 0 + if n == 1: return 1 + left_max = [nums[0]] + right_max = [nums[-1]] + for i in range(1, n): + left_max.append(max(left_max[-1], nums[i])) + for i in range(n-2, -1, -1): + right_max.insert(0, min(right_max[0], nums[i])) + for i in range(n-1): + if left_max[i] <= right_max[i+1]: + return i+1 + return n \ No newline at end of file diff --git a/Python/searchhinsortedarray.py b/Python/searchhinsortedarray.py new file mode 100644 index 0000000..ad0c1ef --- /dev/null +++ b/Python/searchhinsortedarray.py @@ -0,0 +1,10 @@ + + + +from collections import Counter + +n = (int(input())) +x = (int(input())) +y = list(map(int, input().split())) + + diff --git a/Python/sudoku_solver.py b/Python/sudoku_solver.py new file mode 100644 index 0000000..7f0ad05 --- /dev/null +++ b/Python/sudoku_solver.py @@ -0,0 +1,63 @@ +""" +Write a program to solve a Sudoku puzzle by filling the empty cells. + +A sudoku solution must satisfy all of the following rules: + +Each of the digits 1-9 must occur exactly once in each row. +Each of the digits 1-9 must occur exactly once in each column. +Each of the digits 1-9 must occur exactly once in each of the 9 3x3 sub-boxes of the grid. +The '.' character indicates empty cells. + + + +Example 1: + + +Input: board = [["5","3",".",".","7",".",".",".","."],["6",".",".","1","9","5",".",".","."],[".","9","8",".",".",".",".","6","."],["8",".",".",".","6",".",".",".","3"],["4",".",".","8",".","3",".",".","1"],["7",".",".",".","2",".",".",".","6"],[".","6",".",".",".",".","2","8","."],[".",".",".","4","1","9",".",".","5"],[".",".",".",".","8",".",".","7","9"]] +Output: [["5","3","4","6","7","8","9","1","2"],["6","7","2","1","9","5","3","4","8"],["1","9","8","3","4","2","5","6","7"],["8","5","9","7","6","1","4","2","3"],["4","2","6","8","5","3","7","9","1"],["7","1","3","9","2","4","8","5","6"],["9","6","1","5","3","7","2","8","4"],["2","8","7","4","1","9","6","3","5"],["3","4","5","2","8","6","1","7","9"]] +Explanation: The input board is shown above and the only valid solution is shown below: + + + + +Constraints: + +board.length == 9 +board[i].length == 9 +board[i][j] is a digit or '.'. +It is guaranteed that the input board has only one solution. + +""" + +class Solution: + def solve(self, board): + for i in range(9): + for j in range(9): + if board[i][j] == '.': + for k in range(1, 10): + if self.isValid(board, i, j, str(k)): + board[i][j] = str(k) + if self.solve(board): + return True + else: + board[i][j] = '.' + return False + return True + + + def solveSudoku(self, board: List[List[str]]) -> None: + """ + Do not return anything, modify board in-place instead. + """ + self.solve(board) + + def isValid(self, board, i, j, k): + for m in range(9): + if board[m][j] == k: + return False + if board[i][m] == k: + return False + if board[3*(i//3)+m//3][3*(j//3)+m%3] == k: + return False + return True + \ No newline at end of file diff --git a/Python/sumequalszero.py b/Python/sumequalszero.py new file mode 100644 index 0000000..d9ae2ca --- /dev/null +++ b/Python/sumequalszero.py @@ -0,0 +1,55 @@ +# Given an integer array nums, return all the triplets [nums[i], nums[j], nums[k]] such that i != j, i != k, and j != k, and nums[i] + nums[j] + nums[k] == 0. + +# Notice that the solution set must not contain duplicate triplets. + + + +# Example 1: + +# Input: nums = [-1,0,1,2,-1,-4] +# Output: [[-1,-1,2],[-1,0,1]] +# Example 2: + +# Input: nums = [] +# Output: [] +# Example 3: + +# Input: nums = [0] +# Output: [] + + +# Constraints: + +# 0 <= nums.length <= 3000 +# -105 <= nums[i] <= 105 +# Accepted +# 1,388,410 +# Submissions +# 4,799,808 + + +class Solution: + def threeSum(self, nums: List[int]) -> List[List[int]]: + if len(nums) < 3: + return [] + nums.sort() + res = [] + for i in range(len(nums) - 2): + if i > 0 and nums[i] == nums[i - 1]: + continue + l, r = i + 1, len(nums) - 1 + while l < r: + s = nums[i] + nums[l] + nums[r] + if s < 0: + l += 1 + elif s > 0: + r -= 1 + else: + res.append([nums[i], nums[l], nums[r]]) + while l < r and nums[l] == nums[l + 1]: + l += 1 + while l < r and nums[r] == nums[r - 1]: + r -= 1 + l += 1 + r -= 1 + return res \ No newline at end of file diff --git a/Python/threesumclosest.py b/Python/threesumclosest.py new file mode 100644 index 0000000..b01af74 --- /dev/null +++ b/Python/threesumclosest.py @@ -0,0 +1,34 @@ +# Given an array nums of n integers and an integer target, find three integers in nums such that the sum is closest to target. Return the sum of the three integers. You may assume that each input would have exactly one solution. + + + +# Example 1: + +# Input: nums = [-1,2,1,-4], target = 1 +# Output: 2 +# Explanation: The sum that is closest to the target is 2. (-1 + 2 + 1 = 2). + + +# Constraints: + +# 3 <= nums.length <= 10^3 +# -10^3 <= nums[i] <= 10^3 +# -10^4 <= target <= 10^4 + +class Solution: + def threeSumClosest(self, nums: List[int], target: int) -> int: + nums.sort() + res = nums[0] + nums[1] + nums[2] + for i in range(len(nums) - 2): + j, k = i+1, len(nums) - 1 + while j < k: + sum = nums[i] + nums[j] + nums[k] + if sum == target: + return sum + if abs(sum - target) < abs(res - target): + res = sum + if sum < target: + j += 1 + elif sum > target: + k -= 1 + return res \ No newline at end of file From 9616d6c455b1a7124f84587ab09c892815fab1f7 Mon Sep 17 00:00:00 2001 From: QuratAin Date: Sun, 31 Oct 2021 14:17:39 +0500 Subject: [PATCH 158/232] deleed --- Javascript/JSCharts.html | 47 ---------------------------------------- 1 file changed, 47 deletions(-) delete mode 100644 Javascript/JSCharts.html diff --git a/Javascript/JSCharts.html b/Javascript/JSCharts.html deleted file mode 100644 index 787d6cc..0000000 --- a/Javascript/JSCharts.html +++ /dev/null @@ -1,47 +0,0 @@ - - - - -Chart.js - -

    Chart.js comes with built-in chart types.

    -

    Following is the example of a Scatter Plot


    - - - - - - - From e824ea0558b170495011ba25a779b51bb148c6fa Mon Sep 17 00:00:00 2001 From: QuratAin Date: Sun, 31 Oct 2021 14:20:30 +0500 Subject: [PATCH 159/232] Added code to create graphs using chart.js --- jsChart.html | 47 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 47 insertions(+) create mode 100644 jsChart.html diff --git a/jsChart.html b/jsChart.html new file mode 100644 index 0000000..787d6cc --- /dev/null +++ b/jsChart.html @@ -0,0 +1,47 @@ + + + + +Chart.js + +

    Chart.js comes with built-in chart types.

    +

    Following is the example of a Scatter Plot


    + + + + + + + From ebfc4dca482b2f91fa787704f8dfe9a2c6f59719 Mon Sep 17 00:00:00 2001 From: QuratAin Date: Sun, 31 Oct 2021 14:26:34 +0500 Subject: [PATCH 160/232] Html Js DOM Animation --- Javascript/{Animationsindex.html => jsAnimations.html} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename Javascript/{Animationsindex.html => jsAnimations.html} (100%) diff --git a/Javascript/Animationsindex.html b/Javascript/jsAnimations.html similarity index 100% rename from Javascript/Animationsindex.html rename to Javascript/jsAnimations.html From e642f555894a65973e12db5e372b394d765bc818 Mon Sep 17 00:00:00 2001 From: QuratAin Date: Sun, 31 Oct 2021 14:27:59 +0500 Subject: [PATCH 161/232] js animation --- Javascript/jsAnimations.html | 32 -------------------------------- 1 file changed, 32 deletions(-) diff --git a/Javascript/jsAnimations.html b/Javascript/jsAnimations.html index 52bb83e..ab927a0 100644 --- a/Javascript/jsAnimations.html +++ b/Javascript/jsAnimations.html @@ -1,35 +1,3 @@ -<<<<<<< HEAD - - - - - - - - Javascript HTML BASic DOM Animations - - - -

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    - -======= From 02ee760fbd6f747f4408c04dd312a6861e741767 Mon Sep 17 00:00:00 2001 From: QuratAin Date: Sun, 31 Oct 2021 14:37:14 +0500 Subject: [PATCH 162/232] deleted --- Javascript/Animations.js | 38 ------------------------------------ Javascript/index.html | 31 ----------------------------- Javascript/jsAnimations.html | 32 ------------------------------ 3 files changed, 101 deletions(-) delete mode 100644 Javascript/Animations.js delete mode 100644 Javascript/index.html delete mode 100644 Javascript/jsAnimations.html diff --git a/Javascript/Animations.js b/Javascript/Animations.js deleted file mode 100644 index c3322bc..0000000 --- a/Javascript/Animations.js +++ /dev/null @@ -1,38 +0,0 @@ -<<<<<<< HEAD -function myAnimation(){ - let id = null; - const box = document.getElementById("animationBox"); - let pos = 0; - clearInterval(id); - id = setInterval(frame, 5); - - function frame(){ - if(pos == 350){ - clearInterval(id); - } - else{ - pos++; - box.style.top = pos + "px"; - box.style.left = pos + "px"; - } - } -======= -function myAnimation(){ - let id = null; - const box = document.getElementById("animationBox"); - let pos = 0; - clearInterval(id); - id = setInterval(frame, 5); - - function frame(){ - if(pos == 350){ - clearInterval(id); - } - else{ - pos++; - box.style.top = pos + "px"; - box.style.left = pos + "px"; - } - } ->>>>>>> b87e6665d167e831a72ed8e150a2a3767ac3ac10 -} \ No newline at end of file diff --git a/Javascript/index.html b/Javascript/index.html deleted file mode 100644 index 6a1dcc3..0000000 --- a/Javascript/index.html +++ /dev/null @@ -1,31 +0,0 @@ - - - - - - - - Javascript HTML DOM Animations - - - -

    -
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    -
    - - \ No newline at end of file diff --git a/Javascript/jsAnimations.html b/Javascript/jsAnimations.html deleted file mode 100644 index ab927a0..0000000 --- a/Javascript/jsAnimations.html +++ /dev/null @@ -1,32 +0,0 @@ - - - - - - - - Javascript HTML DOM Animations - - - -

    -
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    - ->>>>>>> b87e6665d167e831a72ed8e150a2a3767ac3ac10 - \ No newline at end of file From 8a901fefadbb2bedb260c5d22a3cbfa32ed3bdde Mon Sep 17 00:00:00 2001 From: QuratAin Date: Sun, 31 Oct 2021 14:49:27 +0500 Subject: [PATCH 163/232] Added HTML JS DOM Animation --- Javascript/jsDOMAnimations.html | 48 +++++++++++++++++++++++++++++++++ 1 file changed, 48 insertions(+) create mode 100644 Javascript/jsDOMAnimations.html diff --git a/Javascript/jsDOMAnimations.html b/Javascript/jsDOMAnimations.html new file mode 100644 index 0000000..694d60d --- /dev/null +++ b/Javascript/jsDOMAnimations.html @@ -0,0 +1,48 @@ + + + + Js Animations + + + + +

    + +
    +
    +
    + + + + + From b3f91e949e6a18a37b5346a69d0f40b672652486 Mon Sep 17 00:00:00 2001 From: QuratAin Date: Sun, 31 Oct 2021 15:01:12 +0500 Subject: [PATCH 164/232] Html Js DOM Animation --- Javascript/jsDOMAnimations.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Javascript/jsDOMAnimations.html b/Javascript/jsDOMAnimations.html index 694d60d..f86aac0 100644 --- a/Javascript/jsDOMAnimations.html +++ b/Javascript/jsDOMAnimations.html @@ -19,7 +19,7 @@ -

    +


    From 28845b3c583deea9802bbabeb573466ff524d9ec Mon Sep 17 00:00:00 2001 From: Qurat Ul Ain Shoro <65081454+QuratAin@users.noreply.github.com> Date: Sun, 31 Oct 2021 15:26:41 +0500 Subject: [PATCH 165/232] Create jsAnimations.html --- jsAnimations.html | 48 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 48 insertions(+) create mode 100644 jsAnimations.html diff --git a/jsAnimations.html b/jsAnimations.html new file mode 100644 index 0000000..e6485ae --- /dev/null +++ b/jsAnimations.html @@ -0,0 +1,48 @@ +!DOCTYPE html> + + + Js Animations + + + + +


    + +
    +
    +
    + + + + + From 8db83c2eabd8fc9e3d5dba36a656dae8318f9334 Mon Sep 17 00:00:00 2001 From: Mursal Furqan Kumbhar Date: Wed, 1 Oct 2025 08:58:37 +0200 Subject: [PATCH 166/232] Implement iterative binary search function --- C#/Searching/BinarySearch(Iterative).cs | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) create mode 100644 C#/Searching/BinarySearch(Iterative).cs diff --git a/C#/Searching/BinarySearch(Iterative).cs b/C#/Searching/BinarySearch(Iterative).cs new file mode 100644 index 0000000..279232c --- /dev/null +++ b/C#/Searching/BinarySearch(Iterative).cs @@ -0,0 +1,19 @@ +int BinarySearchIterative(int[] arr, int target) +{ + int left = 0, right = arr.Length - 1; + + while (left <= right) + { + int mid = left + (right - left) / 2; + + if (arr[mid] == target) + return mid; // Found + + if (arr[mid] < target) + left = mid + 1; // Search right half + else + right = mid - 1; // Search left half + } + + return -1; // Not found +} From 60d3a51512939902b83a58c3628aac30ab64c4af Mon Sep 17 00:00:00 2001 From: Mursal Furqan Kumbhar Date: Wed, 1 Oct 2025 09:02:15 +0200 Subject: [PATCH 167/232] Create BinarySearch(Recursive).cs --- C#/Searching/BinarySearch(Recursive).cs | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 C#/Searching/BinarySearch(Recursive).cs diff --git a/C#/Searching/BinarySearch(Recursive).cs b/C#/Searching/BinarySearch(Recursive).cs new file mode 100644 index 0000000..6a9c045 --- /dev/null +++ b/C#/Searching/BinarySearch(Recursive).cs @@ -0,0 +1,15 @@ +int BinarySearchRecursive(int[] arr, int left, int right, int target) +{ + if (left > right) + return -1; + + int mid = left + (right - left) / 2; + + if (arr[mid] == target) + return mid; + + if (arr[mid] < target) + return BinarySearchRecursive(arr, mid + 1, right, target); + else + return BinarySearchRecursive(arr, left, mid - 1, target); +} From 93318e6020b680cecec35547a427fb4940137396 Mon Sep 17 00:00:00 2001 From: Mursal Furqan Kumbhar Date: Wed, 1 Oct 2025 09:02:25 +0200 Subject: [PATCH 168/232] Create JumpSearch.cs --- C#/Searching/JumpSearch.cs | 27 +++++++++++++++++++++++++++ 1 file changed, 27 insertions(+) create mode 100644 C#/Searching/JumpSearch.cs diff --git a/C#/Searching/JumpSearch.cs b/C#/Searching/JumpSearch.cs new file mode 100644 index 0000000..190d3cc --- /dev/null +++ b/C#/Searching/JumpSearch.cs @@ -0,0 +1,27 @@ +using System; + +int JumpSearch(int[] arr, int target) +{ + int n = arr.Length; + int step = (int)Math.Floor(Math.Sqrt(n)); + int prev = 0; + + // Jump until we find a block that may contain the element + while (prev < n && arr[Math.Min(step, n) - 1] < target) + { + prev = step; + step += (int)Math.Floor(Math.Sqrt(n)); + + if (prev >= n) + return -1; + } + + // Linear search within the block + for (int i = prev; i < Math.Min(step, n); i++) + { + if (arr[i] == target) + return i; + } + + return -1; +} From 78b5e223181f9aaf2424db791c871809d1308378 Mon Sep 17 00:00:00 2001 From: Mursal Furqan Kumbhar Date: Wed, 1 Oct 2025 09:02:29 +0200 Subject: [PATCH 169/232] Create InterpolationSearch.cs --- C#/Searching/InterpolationSearch.cs | 25 +++++++++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 C#/Searching/InterpolationSearch.cs diff --git a/C#/Searching/InterpolationSearch.cs b/C#/Searching/InterpolationSearch.cs new file mode 100644 index 0000000..4311a3f --- /dev/null +++ b/C#/Searching/InterpolationSearch.cs @@ -0,0 +1,25 @@ +int InterpolationSearch(int[] arr, int target) +{ + int low = 0, high = arr.Length - 1; + + while (low <= high && target >= arr[low] && target <= arr[high]) + { + if (low == high) + { + return arr[low] == target ? low : -1; + } + + // Estimate the position + int pos = low + ((target - arr[low]) * (high - low)) / (arr[high] - arr[low]); + + if (arr[pos] == target) + return pos; + + if (arr[pos] < target) + low = pos + 1; + else + high = pos - 1; + } + + return -1; +} From c5ebc1b4872b661b8ee234c3f775de62ae6fe03f Mon Sep 17 00:00:00 2001 From: Mursal Furqan Kumbhar Date: Wed, 1 Oct 2025 09:02:34 +0200 Subject: [PATCH 170/232] Create ExponentialSearch.cs --- C#/Searching/ExponentialSearch.cs | 14 ++++++++++++++ 1 file changed, 14 insertions(+) create mode 100644 C#/Searching/ExponentialSearch.cs diff --git a/C#/Searching/ExponentialSearch.cs b/C#/Searching/ExponentialSearch.cs new file mode 100644 index 0000000..fdc7967 --- /dev/null +++ b/C#/Searching/ExponentialSearch.cs @@ -0,0 +1,14 @@ +int ExponentialSearch(int[] arr, int target) +{ + int n = arr.Length; + + if (arr[0] == target) + return 0; + + int i = 1; + while (i < n && arr[i] <= target) + i *= 2; + + // Binary search in found range + return BinarySearchRecursive(arr, i / 2, Math.Min(i, n - 1), target); +} From 7986cba996b975c8e11d6c9bd4160ece516821bd Mon Sep 17 00:00:00 2001 From: Mursal Furqan Kumbhar Date: Wed, 1 Oct 2025 09:02:39 +0200 Subject: [PATCH 171/232] Implement Fibonacci search algorithm --- C#/Searching/FibonacciSearch.cs | 47 +++++++++++++++++++++++++++++++++ 1 file changed, 47 insertions(+) create mode 100644 C#/Searching/FibonacciSearch.cs diff --git a/C#/Searching/FibonacciSearch.cs b/C#/Searching/FibonacciSearch.cs new file mode 100644 index 0000000..cbd4153 --- /dev/null +++ b/C#/Searching/FibonacciSearch.cs @@ -0,0 +1,47 @@ +int FibonacciSearch(int[] arr, int target) +{ + int n = arr.Length; + + int fibMMm2 = 0; // (m-2)’th Fibonacci number + int fibMMm1 = 1; // (m-1)’th Fibonacci number + int fibM = fibMMm2 + fibMMm1; // m’th Fibonacci number + + // Find smallest Fibonacci number >= n + while (fibM < n) + { + fibMMm2 = fibMMm1; + fibMMm1 = fibM; + fibM = fibMMm2 + fibMMm1; + } + + int offset = -1; + + while (fibM > 1) + { + int i = Math.Min(offset + fibMMm2, n - 1); + + if (arr[i] < target) + { + fibM = fibMMm1; + fibMMm1 = fibMMm2; + fibMMm2 = fibM - fibMMm1; + offset = i; + } + else if (arr[i] > target) + { + fibM = fibMMm2; + fibMMm1 = fibMMm1 - fibMMm2; + fibMMm2 = fibM - fibMMm1; + } + else + { + return i; + } + } + + // Compare last element + if (fibMMm1 == 1 && arr[offset + 1] == target) + return offset + 1; + + return -1; +} From d15519398968a41ef5f169cc9c2979fc61f432ff Mon Sep 17 00:00:00 2001 From: dilzaina99 <78306108+dilzaina99@users.noreply.github.com> Date: Wed, 1 Oct 2025 20:34:50 +0200 Subject: [PATCH 172/232] =?UTF-8?q?Create=20Binary=20Search=20Tree=20(BST)?= =?UTF-8?q?=20=E2=80=94=20exact=20key=20lookup?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ... Tree (BST) \342\200\224 exact key lookup" | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) create mode 100644 "C#/Searching/Binary Search Tree (BST) \342\200\224 exact key lookup" diff --git "a/C#/Searching/Binary Search Tree (BST) \342\200\224 exact key lookup" "b/C#/Searching/Binary Search Tree (BST) \342\200\224 exact key lookup" new file mode 100644 index 0000000..a652cf1 --- /dev/null +++ "b/C#/Searching/Binary Search Tree (BST) \342\200\224 exact key lookup" @@ -0,0 +1,19 @@ +public class BSTNode +{ + public int Key; + public BSTNode Left, Right; + public BSTNode(int key) => Key = key; +} + +public static class BST +{ + public static BSTNode Search(BSTNode root, int key) + { + while (root != null) + { + if (key == root.Key) return root; + root = key < root.Key ? root.Left : root.Right; + } + return null; + } +} From c576fcf2011b48107a356028fc17ec5832d5123e Mon Sep 17 00:00:00 2001 From: dilzaina99 <78306108+dilzaina99@users.noreply.github.com> Date: Wed, 1 Oct 2025 20:35:48 +0200 Subject: [PATCH 173/232] Create AVL Tree --- C#/Searching/AVL Tree | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) create mode 100644 C#/Searching/AVL Tree diff --git a/C#/Searching/AVL Tree b/C#/Searching/AVL Tree new file mode 100644 index 0000000..b1d5ed5 --- /dev/null +++ b/C#/Searching/AVL Tree @@ -0,0 +1,19 @@ +public class AVLNode +{ + public int Key, Height = 1; + public AVLNode Left, Right; + public AVLNode(int key) => Key = key; +} + +public static class AVL +{ + public static AVLNode Search(AVLNode root, int key) + { + while (root != null) + { + if (key == root.Key) return root; + root = key < root.Key ? root.Left : root.Right; + } + return null; + } +} From 8693520ff2baaae5adb0b4604b88e3343102aaf8 Mon Sep 17 00:00:00 2001 From: dilzaina99 <78306108+dilzaina99@users.noreply.github.com> Date: Wed, 1 Oct 2025 20:36:29 +0200 Subject: [PATCH 174/232] Create Red-Black Tree --- Red-Black Tree | 22 ++++++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 Red-Black Tree diff --git a/Red-Black Tree b/Red-Black Tree new file mode 100644 index 0000000..aaceb32 --- /dev/null +++ b/Red-Black Tree @@ -0,0 +1,22 @@ +public enum Color { Red, Black } + +public class RBNode +{ + public int Key; + public Color Color; + public RBNode Left, Right, Parent; + public RBNode(int key, Color color = Color.Red) { Key = key; Color = color; } +} + +public static class RedBlack +{ + public static RBNode Search(RBNode root, int key) + { + while (root != null) + { + if (key == root.Key) return root; + root = key < root.Key ? root.Left : root.Right; + } + return null; + } +} From 0e8fccf6a859bd4f07caf33cf553a5a391bfe134 Mon Sep 17 00:00:00 2001 From: dilzaina99 <78306108+dilzaina99@users.noreply.github.com> Date: Wed, 1 Oct 2025 20:37:23 +0200 Subject: [PATCH 175/232] =?UTF-8?q?Create=20B-Tree=20=E2=80=94=20node=20or?= =?UTF-8?q?=20key=20search=20(t=20=3D=20minimum=20degree)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...4 node or key search (t = minimum degree)" | 22 +++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 "C#/Searching/B-Tree \342\200\224 node or key search (t = minimum degree)" diff --git "a/C#/Searching/B-Tree \342\200\224 node or key search (t = minimum degree)" "b/C#/Searching/B-Tree \342\200\224 node or key search (t = minimum degree)" new file mode 100644 index 0000000..61a3c2b --- /dev/null +++ "b/C#/Searching/B-Tree \342\200\224 node or key search (t = minimum degree)" @@ -0,0 +1,22 @@ +using System; +using System.Collections.Generic; + +public class BTreeNode +{ + public int T; // min degree + public List Keys = new(); + public List Children = new(); // size = Keys.Count + 1 when not leaf + public bool IsLeaf => Children.Count == 0; + + public BTreeNode(int t) => T = t; + + // Returns tuple (node, index) if found, else (null, -1) + public (BTreeNode node, int index) Search(int key) + { + int i = Keys.BinarySearch(key); + if (i >= 0) return (this, i); + i = ~i; // insertion position + if (IsLeaf) return (null, -1); + return Children[i].Search(key); + } +} From c768dcda472cf02cbd06ba8bfebfb90421634c43 Mon Sep 17 00:00:00 2001 From: dilzaina99 <78306108+dilzaina99@users.noreply.github.com> Date: Wed, 1 Oct 2025 20:37:53 +0200 Subject: [PATCH 176/232] =?UTF-8?q?Create=20B+=20Tree=20=E2=80=94=20search?= =?UTF-8?q?=20key=20in=20leaves=20(simplified=20leaf=20scan)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...arch key in leaves (simplified leaf scan)" | 30 +++++++++++++++++++ 1 file changed, 30 insertions(+) create mode 100644 "C#/Searching/B+ Tree \342\200\224 search key in leaves (simplified leaf scan)" diff --git "a/C#/Searching/B+ Tree \342\200\224 search key in leaves (simplified leaf scan)" "b/C#/Searching/B+ Tree \342\200\224 search key in leaves (simplified leaf scan)" new file mode 100644 index 0000000..2763435 --- /dev/null +++ "b/C#/Searching/B+ Tree \342\200\224 search key in leaves (simplified leaf scan)" @@ -0,0 +1,30 @@ +using System.Collections.Generic; + +public class BPlusNode +{ + public bool IsLeaf; + public List Keys = new(); + public List Children = new(); // internal nodes only + public BPlusNode NextLeaf; // leaf-level linked list +} + +public static class BPlusTree +{ + // Descend to appropriate leaf, then scan keys + public static bool Search(BPlusNode root, int key) + { + if (root == null) return false; + + var cur = root; + while (!cur.IsLeaf) + { + int i = cur.Keys.BinarySearch(key); + if (i >= 0) i++; // go to right child on equal (typical B+ convention) + else i = ~i; // first greater-than position + cur = cur.Children[i]; + } + + // At leaf: exact lookup + return cur.Keys.BinarySearch(key) >= 0; + } +} From f85e6ce197d640f76a36f2ab768727672d5b54b8 Mon Sep 17 00:00:00 2001 From: dilzaina99 <78306108+dilzaina99@users.noreply.github.com> Date: Wed, 1 Oct 2025 20:38:34 +0200 Subject: [PATCH 177/232] =?UTF-8?q?Create=20Trie=20(Prefix=20Tree)=20?= =?UTF-8?q?=E2=80=94=20word=20&=20prefix=20lookup?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...x Tree) \342\200\224 word & prefix lookup" | 44 +++++++++++++++++++ 1 file changed, 44 insertions(+) create mode 100644 "C#/Searching/Trie (Prefix Tree) \342\200\224 word & prefix lookup" diff --git "a/C#/Searching/Trie (Prefix Tree) \342\200\224 word & prefix lookup" "b/C#/Searching/Trie (Prefix Tree) \342\200\224 word & prefix lookup" new file mode 100644 index 0000000..05379b3 --- /dev/null +++ "b/C#/Searching/Trie (Prefix Tree) \342\200\224 word & prefix lookup" @@ -0,0 +1,44 @@ +using System.Collections.Generic; + +public class TrieNode +{ + public bool IsWord; + public Dictionary Next = new(); +} + +public class Trie +{ + private readonly TrieNode _root = new(); + + public void Insert(string word) + { + var cur = _root; + foreach (char ch in word) + { + if (!cur.Next.ContainsKey(ch)) cur.Next[ch] = new TrieNode(); + cur = cur.Next[ch]; + } + cur.IsWord = true; + } + + public bool Search(string word) // exact word + { + var node = FindNode(word); + return node != null && node.IsWord; + } + + public bool StartsWith(string prefix) // prefix check + { + return FindNode(prefix) != null; + } + + private TrieNode FindNode(string s) + { + var cur = _root; + foreach (char ch in s) + { + if (!cur.Next.TryGetValue(ch, out cur)) return null; + } + return cur; + } +} From 624005720f07b5ab11c585a718a1cb0624dafdd5 Mon Sep 17 00:00:00 2001 From: keerioshumaila52 <78306375+keerioshumaila52@users.noreply.github.com> Date: Wed, 1 Oct 2025 20:45:42 +0200 Subject: [PATCH 178/232] =?UTF-8?q?Create=20Segment=20Tree=20=E2=80=94=20r?= =?UTF-8?q?ange=20query=20(sum)=20+=20point=20update?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...\200\224 range query (sum) + point update" | 44 +++++++++++++++++++ 1 file changed, 44 insertions(+) create mode 100644 "C#/Searching/Segment Tree \342\200\224 range query (sum) + point update" diff --git "a/C#/Searching/Segment Tree \342\200\224 range query (sum) + point update" "b/C#/Searching/Segment Tree \342\200\224 range query (sum) + point update" new file mode 100644 index 0000000..da7787c --- /dev/null +++ "b/C#/Searching/Segment Tree \342\200\224 range query (sum) + point update" @@ -0,0 +1,44 @@ +using System; + +public class SegmentTree +{ + private readonly int n; + private readonly long[] tree; // 1-indexed internal storage + + public SegmentTree(int[] arr) + { + n = arr.Length; + tree = new long[4 * n]; + Build(arr, 1, 0, n - 1); + } + + private void Build(int[] a, int idx, int l, int r) + { + if (l == r) { tree[idx] = a[l]; return; } + int m = (l + r) / 2; + Build(a, idx * 2, l, m); + Build(a, idx * 2 + 1, m + 1, r); + tree[idx] = tree[idx * 2] + tree[idx * 2 + 1]; + } + + public long Query(int ql, int qr) => Query(1, 0, n - 1, ql, qr); + + private long Query(int idx, int l, int r, int ql, int qr) + { + if (qr < l || r < ql) return 0; + if (ql <= l && r <= qr) return tree[idx]; + int m = (l + r) / 2; + return Query(idx * 2, l, m, ql, qr) + Query(idx * 2 + 1, m + 1, r, ql, qr); + } + + public void Update(int pos, int newValue) => Update(1, 0, n - 1, pos, newValue); + + private void Update(int idx, int l, int r, int pos, int val) + { + if (l == r) { tree[idx] = val; return; } + int m = (l + r) / 2; + if (pos <= m) Update(idx * 2, l, m, pos, val); + else Update(idx * 2 + 1, m + 1, r, pos, val); + tree[idx] = tree[idx * 2] + tree[idx * 2 + 1]; + } +} From 9dd68a33f07e24afb6bc5e2a6b7795b71d50fa70 Mon Sep 17 00:00:00 2001 From: keerioshumaila52 <78306375+keerioshumaila52@users.noreply.github.com> Date: Wed, 1 Oct 2025 20:46:15 +0200 Subject: [PATCH 179/232] Create Binary Indexed Tree (Fenwick) --- C#/Searching/Binary Indexed Tree (Fenwick) | 52 ++++++++++++++++++++++ 1 file changed, 52 insertions(+) create mode 100644 C#/Searching/Binary Indexed Tree (Fenwick) diff --git a/C#/Searching/Binary Indexed Tree (Fenwick) b/C#/Searching/Binary Indexed Tree (Fenwick) new file mode 100644 index 0000000..db9dcf5 --- /dev/null +++ b/C#/Searching/Binary Indexed Tree (Fenwick) @@ -0,0 +1,52 @@ +public class Fenwick +{ + private readonly long[] bit; // 1-based indexing + private readonly int n; + + public Fenwick(int n) + { + this.n = n; + bit = new long[n + 1]; + } + + public Fenwick(int[] arr) : this(arr.Length) + { + for (int i = 0; i < arr.Length; i++) Add(i + 1, arr[i]); + } + + // Add 'delta' at index i (1..n) + public void Add(int i, long delta) + { + for (; i <= n; i += i & -i) bit[i] += delta; + } + + // Prefix sum [1..i] + public long PrefixSum(int i) + { + long s = 0; + for (; i > 0; i -= i & -i) s += bit[i]; + return s; + } + + // Range sum [l..r], with 1-based indices + public long RangeSum(int l, int r) => PrefixSum(r) - PrefixSum(l - 1); + + // Find smallest index i such that PrefixSum(i) >= target (if monotonic, e.g., counts/frequencies) + public int LowerBound(long target) + { + int idx = 0; + int maxPow = 1; + while ((maxPow << 1) <= n) maxPow <<= 1; + + for (int step = maxPow; step > 0; step >>= 1) + { + int next = idx + step; + if (next <= n && bit[next] < target) + { + idx = next; + target -= bit[next]; + } + } + return idx + 1; // 1..n (caller should validate bounds) + } +} From 9b1f13f4bd44385f2c26dd38a1df3f8ec4868b47 Mon Sep 17 00:00:00 2001 From: keerioshumaila52 <78306375+keerioshumaila52@users.noreply.github.com> Date: Wed, 1 Oct 2025 20:48:47 +0200 Subject: [PATCH 180/232] Create Graph-Based Searching --- C#/Searching/Graph-Based Searching | 12 ++++++++++++ 1 file changed, 12 insertions(+) create mode 100644 C#/Searching/Graph-Based Searching diff --git a/C#/Searching/Graph-Based Searching b/C#/Searching/Graph-Based Searching new file mode 100644 index 0000000..7c3d87e --- /dev/null +++ b/C#/Searching/Graph-Based Searching @@ -0,0 +1,12 @@ +using System; +using System.Collections.Generic; + +// General adjacency list: for unweighted use weight=1 +public class Graph { + public Dictionary> Adj = new(); + public void AddEdge(int u, int v, double w = 1.0) { + if (!Adj.ContainsKey(u)) Adj[u] = new(); + Adj[u].Add((v, w)); + if (!Adj.ContainsKey(v)) Adj[v] = new(); // ensure key exists + } +} From 81c690eb94716f166aaaa558e0a99c58705d556b Mon Sep 17 00:00:00 2001 From: keerioshumaila52 <78306375+keerioshumaila52@users.noreply.github.com> Date: Wed, 1 Oct 2025 20:49:05 +0200 Subject: [PATCH 181/232] Create DFS (Depth-First Search) --- C#/Searching/DFS (Depth-First Search) | 13 +++++++++++++ 1 file changed, 13 insertions(+) create mode 100644 C#/Searching/DFS (Depth-First Search) diff --git a/C#/Searching/DFS (Depth-First Search) b/C#/Searching/DFS (Depth-First Search) new file mode 100644 index 0000000..d6adb42 --- /dev/null +++ b/C#/Searching/DFS (Depth-First Search) @@ -0,0 +1,13 @@ +public static class DFSAlgo { + public static List DFS(Graph g, int start) { + var visited = new HashSet(); + var order = new List(); + void Dfs(int u) { + visited.Add(u); order.Add(u); + foreach (var (v, _) in g.Adj[u]) + if (!visited.Contains(v)) Dfs(v); + } + Dfs(start); + return order; + } +} From c4468abace498a5b5d7c09105d6ba86aa2072e3c Mon Sep 17 00:00:00 2001 From: keerioshumaila52 <78306375+keerioshumaila52@users.noreply.github.com> Date: Wed, 1 Oct 2025 20:49:07 +0200 Subject: [PATCH 182/232] Create Iterative Deepening DFS (IDDFS) --- C#/Searching/Iterative Deepening DFS (IDDFS) | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) create mode 100644 C#/Searching/Iterative Deepening DFS (IDDFS) diff --git a/C#/Searching/Iterative Deepening DFS (IDDFS) b/C#/Searching/Iterative Deepening DFS (IDDFS) new file mode 100644 index 0000000..f4b54df --- /dev/null +++ b/C#/Searching/Iterative Deepening DFS (IDDFS) @@ -0,0 +1,16 @@ +public static class IDDFS { + static bool DLS(Graph g, int src, int target, int depth, HashSet vis) { + if (src == target) return true; + if (depth == 0) return false; + vis.Add(src); + foreach (var (v, _) in g.Adj[src]) + if (!vis.Contains(v) && DLS(g, v, target, depth - 1, vis)) return true; + return false; + } + + public static bool Search(Graph g, int start, int target, int maxDepth) { + for (int d = 0; d <= maxDepth; d++) + if (DLS(g, start, target, d, new HashSet())) return true; + return false; + } +} From f5e200cce5bef4fce86e65a59da0e0f7e7c81914 Mon Sep 17 00:00:00 2001 From: keerioshumaila52 <78306375+keerioshumaila52@users.noreply.github.com> Date: Wed, 1 Oct 2025 20:49:09 +0200 Subject: [PATCH 183/232] =?UTF-8?q?Create=20Uniform=20Cost=20Search=20(UCS?= =?UTF-8?q?)=20=E2=80=94=20same=20as=20Dijkstra=20without=20heuristic?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...00\224 same as Dijkstra without heuristic" | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) create mode 100644 "C#/Searching/Uniform Cost Search (UCS) \342\200\224 same as Dijkstra without heuristic" diff --git "a/C#/Searching/Uniform Cost Search (UCS) \342\200\224 same as Dijkstra without heuristic" "b/C#/Searching/Uniform Cost Search (UCS) \342\200\224 same as Dijkstra without heuristic" new file mode 100644 index 0000000..37a4f68 --- /dev/null +++ "b/C#/Searching/Uniform Cost Search (UCS) \342\200\224 same as Dijkstra without heuristic" @@ -0,0 +1,19 @@ +public static class UCS { + public static Dictionary Search(Graph g, int start) { + var dist = new Dictionary(); + foreach (var u in g.Adj.Keys) dist[u] = double.PositiveInfinity; + dist[start] = 0; + var pq = new PriorityQueue(); + pq.Enqueue(start, 0); + + while (pq.Count > 0) { + pq.TryDequeue(out int u, out double d); + if (d != dist[u]) continue; + foreach (var (v, w) in g.Adj[u]) { + double nd = d + w; + if (nd < dist[v]) { dist[v] = nd; pq.Enqueue(v, nd); } + } + } + return dist; + } +} From 2f4f9dc8e3bda6ca8bdb840c283b2ae1ef24ffb7 Mon Sep 17 00:00:00 2001 From: git-hero1 <143338281+git-hero1@users.noreply.github.com> Date: Wed, 1 Oct 2025 21:04:09 +0200 Subject: [PATCH 184/232] =?UTF-8?q?Create=20Dijkstra=E2=80=99s=20Algorithm?= =?UTF-8?q?=20(shortest=20paths,=20non-negative=20weights)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...hm (shortest paths, non-negative weights)" | 21 +++++++++++++++++++ 1 file changed, 21 insertions(+) create mode 100644 "Dijkstra\342\200\231s Algorithm (shortest paths, non-negative weights)" diff --git "a/Dijkstra\342\200\231s Algorithm (shortest paths, non-negative weights)" "b/Dijkstra\342\200\231s Algorithm (shortest paths, non-negative weights)" new file mode 100644 index 0000000..3540f71 --- /dev/null +++ "b/Dijkstra\342\200\231s Algorithm (shortest paths, non-negative weights)" @@ -0,0 +1,21 @@ +public static class Dijkstra { + public static (Dictionary dist, Dictionary parent) + ShortestPaths(Graph g, int start) { + var dist = new Dictionary(); + var parent = new Dictionary(); + foreach (var u in g.Adj.Keys) dist[u] = double.PositiveInfinity; + dist[start] = 0; + var pq = new PriorityQueue(); + pq.Enqueue(start, 0); + + while (pq.Count > 0) { + pq.TryDequeue(out int u, out double du); + if (du != dist[u]) continue; + foreach (var (v, w) in g.Adj[u]) { + double nd = du + w; + if (nd < dist[v]) { dist[v] = nd; parent[v] = u; pq.Enqueue(v, nd); } + } + } + return (dist, parent); + } +} From 29cf99bb384dde2194c43a2b73fba69e8da0c155 Mon Sep 17 00:00:00 2001 From: git-hero1 <143338281+git-hero1@users.noreply.github.com> Date: Wed, 1 Oct 2025 21:12:22 +0200 Subject: [PATCH 185/232] =?UTF-8?q?Create=20Bidirectional=20BFS=20?= =?UTF-8?q?=E2=80=94=20unweighted=20shortest=20path?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...BFS \342\200\224 unweighted shortest path" | 40 +++++++++++++++++++ 1 file changed, 40 insertions(+) create mode 100644 "Bidirectional BFS \342\200\224 unweighted shortest path" diff --git "a/Bidirectional BFS \342\200\224 unweighted shortest path" "b/Bidirectional BFS \342\200\224 unweighted shortest path" new file mode 100644 index 0000000..9c3f4a4 --- /dev/null +++ "b/Bidirectional BFS \342\200\224 unweighted shortest path" @@ -0,0 +1,40 @@ +public static class BidirectionalBFS { + public static List ShortestPath(Graph g, int s, int t) { + if (s == t) return new() { s }; + + var q1 = new Queue(); var q2 = new Queue(); + var p1 = new Dictionary(); var p2 = new Dictionary(); + var vis1 = new HashSet { s }; var vis2 = new HashSet { t }; + q1.Enqueue(s); q2.Enqueue(t); + + int meet = -1; + while (q1.Count > 0 && q2.Count > 0) { + if (Step(g, q1, vis1, vis2, p1, ref meet)) break; + if (Step(g, q2, vis2, vis1, p2, ref meet)) break; + } + if (meet == -1) return new(); + + var left = new List(); + for (int x = meet; x != s; x = p1[x]) left.Add(x); + left.Add(s); left.Reverse(); + + var right = new List(); + for (int x = meet; x != t; x = p2[x]) right.Add(x); + right.Add(t); + + left.AddRange(right.Skip(1)); + return left; + } + + static bool Step(Graph g, Queue q, HashSet own, HashSet other, Dictionary parent, ref int meet) { + if (q.Count == 0) return false; + int u = q.Dequeue(); + foreach (var (v, _) in g.Adj[u]) { + if (!own.Contains(v)) { + own.Add(v); parent[v] = u; q.Enqueue(v); + if (other.Contains(v)) { meet = v; return true; } + } + } + return false; + } +} From 94e78938adf3e21bf3fb0f713cd68415026913dc Mon Sep 17 00:00:00 2001 From: git-hero1 <143338281+git-hero1@users.noreply.github.com> Date: Wed, 1 Oct 2025 21:12:43 +0200 Subject: [PATCH 186/232] Create Hashing-Based Search --- Hashing-Based Search | 8 ++++++++ 1 file changed, 8 insertions(+) create mode 100644 Hashing-Based Search diff --git a/Hashing-Based Search b/Hashing-Based Search new file mode 100644 index 0000000..02cd7db --- /dev/null +++ b/Hashing-Based Search @@ -0,0 +1,8 @@ +var dict = new Dictionary { + ["apple"] = 3, ["banana"] = 5 +}; +bool hasKey = dict.ContainsKey("apple"); +bool hasValue = dict.ContainsValue(5); +if (dict.TryGetValue("banana", out int qty)) { + // qty == 5 +} From 0707c051092427e5baf8bde5dc1199018b8df0b1 Mon Sep 17 00:00:00 2001 From: git-hero1 <143338281+git-hero1@users.noreply.github.com> Date: Wed, 1 Oct 2025 21:12:59 +0200 Subject: [PATCH 187/232] Create Fast membership with HashSet --- Fast membership with HashSet | 2 ++ 1 file changed, 2 insertions(+) create mode 100644 Fast membership with HashSet diff --git a/Fast membership with HashSet b/Fast membership with HashSet new file mode 100644 index 0000000..c670cad --- /dev/null +++ b/Fast membership with HashSet @@ -0,0 +1,2 @@ +var set = new HashSet { 1, 2, 3 }; +bool ok = set.Contains(2); // O(1) average From 4b9e76701f5953c224e906ddb6ac0825433b6fde Mon Sep 17 00:00:00 2001 From: git-hero1 <143338281+git-hero1@users.noreply.github.com> Date: Wed, 1 Oct 2025 21:13:13 +0200 Subject: [PATCH 188/232] Create Hill Climbing (maximize f) --- Hill Climbing (maximize f) | 13 +++++++++++++ 1 file changed, 13 insertions(+) create mode 100644 Hill Climbing (maximize f) diff --git a/Hill Climbing (maximize f) b/Hill Climbing (maximize f) new file mode 100644 index 0000000..cd196f1 --- /dev/null +++ b/Hill Climbing (maximize f) @@ -0,0 +1,13 @@ +public static class HillClimb { + public static double Maximize(Func f, double x0, double step=0.01, int iters=1000) { + double x = x0, fx = f(x); + for (int i=0;i fx && fl >= fr) { x = xl; fx = fl; } + else if (fr > fx) { x = xr; fx = fr; } + else break; // local optimum + } + return x; + } +} From 24621c312cba2527d4b94a18da22613cc2883526 Mon Sep 17 00:00:00 2001 From: git-hero1 <143338281+git-hero1@users.noreply.github.com> Date: Wed, 1 Oct 2025 21:13:27 +0200 Subject: [PATCH 189/232] Create Simulated Annealing (maximize f) --- Simulated Annealing (maximize f) | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) create mode 100644 Simulated Annealing (maximize f) diff --git a/Simulated Annealing (maximize f) b/Simulated Annealing (maximize f) new file mode 100644 index 0000000..45d05ec --- /dev/null +++ b/Simulated Annealing (maximize f) @@ -0,0 +1,16 @@ +using System; + +public static class SimAnneal { + static readonly Random Rng = new(); + public static double Maximize(Func f, double x0, double initTemp=1.0, double cool=0.995, int iters=5000) { + double x = x0, fx = f(x), T = initTemp; + for (int i=0;i fx || Math.Exp((fc - fx)/T) > Rng.NextDouble()) { x = cand; fx = fc; } + T *= cool; + if (T < 1e-8) break; + } + return x; + } +} From af89b13b2a941a923e88c020960613f10e24850b Mon Sep 17 00:00:00 2001 From: fitzero1 <143338658+fitzero1@users.noreply.github.com> Date: Wed, 1 Oct 2025 21:23:02 +0200 Subject: [PATCH 190/232] Create Genetic Algorithm (real-valued 1-D toy, maximize f) --- ...lgorithm (real-valued 1-D toy, maximize f) | 32 +++++++++++++++++++ 1 file changed, 32 insertions(+) create mode 100644 Genetic Algorithm (real-valued 1-D toy, maximize f) diff --git a/Genetic Algorithm (real-valued 1-D toy, maximize f) b/Genetic Algorithm (real-valued 1-D toy, maximize f) new file mode 100644 index 0000000..afe688c --- /dev/null +++ b/Genetic Algorithm (real-valued 1-D toy, maximize f) @@ -0,0 +1,32 @@ +using System; +using System.Linq; + +public static class GA { + static readonly Random R = new(); + + public static double Maximize(Func f, int popSize=50, int gens=200, double mutStd=0.1) { + double[] pop = Enumerable.Range(0, popSize).Select(_ => R.NextDouble()*2 - 1).ToArray(); // [-1,1] + for (int g=0; gp.Second).Select(p=>p.First).ToArray(); + var elite = order.Take(popSize/2).ToArray(); + + // crossover + mutation to refill + var children = new double[popSize/2]; + for (int i=0;i Date: Wed, 1 Oct 2025 21:23:11 +0200 Subject: [PATCH 191/232] Create Beam Search (keep top-k partial solutions by heuristic score) --- ...op-k partial solutions by heuristic score) | 23 +++++++++++++++++++ 1 file changed, 23 insertions(+) create mode 100644 Beam Search (keep top-k partial solutions by heuristic score) diff --git a/Beam Search (keep top-k partial solutions by heuristic score) b/Beam Search (keep top-k partial solutions by heuristic score) new file mode 100644 index 0000000..05a2f9a --- /dev/null +++ b/Beam Search (keep top-k partial solutions by heuristic score) @@ -0,0 +1,23 @@ +using System.Collections.Generic; +using System.Linq; + +public static class BeamSearch { + public static List Search( + string start, + Func isGoal, + Func> expand, + Func score, + int beamWidth = 3, + int maxSteps = 50) + { + var beam = new List { start }; + for (int step=0; step{ beam.First(isGoal) }; + var cand = new List(); + foreach (var s in beam) cand.AddRange(expand(s)); + if (cand.Count == 0) break; + beam = cand.OrderByDescending(score).Take(beamWidth).ToList(); + } + return new List(); // not found + } +} From 6e02e8fc80683ef1325646460754414a605b4467 Mon Sep 17 00:00:00 2001 From: fitzero1 <143338658+fitzero1@users.noreply.github.com> Date: Wed, 1 Oct 2025 21:23:50 +0200 Subject: [PATCH 192/232] Create Shared helpers --- Shared helpers | 14 ++++++++++++++ 1 file changed, 14 insertions(+) create mode 100644 Shared helpers diff --git a/Shared helpers b/Shared helpers new file mode 100644 index 0000000..e19b73e --- /dev/null +++ b/Shared helpers @@ -0,0 +1,14 @@ +public static class PathUtil +{ + public static List ReconstructPath(T start, T goal, Dictionary parent) + { + var path = new List(); + if (!EqualityComparer.Default.Equals(start, goal) && !parent.ContainsKey(goal)) + return path; // empty: unreachable + for (var cur = goal; !EqualityComparer.Default.Equals(cur, start); cur = parent[cur]) + path.Add(cur); + path.Add(start); + path.Reverse(); + return path; + } +} From 5415bbbbe967a7a6104d931ed7b01962967ee206 Mon Sep 17 00:00:00 2001 From: fitzero1 <143338658+fitzero1@users.noreply.github.com> Date: Wed, 1 Oct 2025 21:24:12 +0200 Subject: [PATCH 193/232] Create Minimax with Alpha-Beta (generic game interface) --- ...x with Alpha-Beta (generic game interface) | 38 +++++++++++++++++++ 1 file changed, 38 insertions(+) create mode 100644 Minimax with Alpha-Beta (generic game interface) diff --git a/Minimax with Alpha-Beta (generic game interface) b/Minimax with Alpha-Beta (generic game interface) new file mode 100644 index 0000000..327ce0a --- /dev/null +++ b/Minimax with Alpha-Beta (generic game interface) @@ -0,0 +1,38 @@ +using System; +using System.Collections.Generic; + +public interface IGameState { + bool IsTerminal { get; } + double Evaluate(); // heuristic for non-terminal cutoffs + IEnumerable LegalMoves(bool maximizingPlayer); + IGameState Apply(TMove move); +} + +public static class AlphaBeta { + public static (double score, TMove best) Search(IGameState s, int depth, bool maxPlayer, + double alpha = double.NegativeInfinity, double beta = double.PositiveInfinity) + { + if (depth == 0 || s.IsTerminal) return (s.Evaluate(), default!); + + TMove bestMove = default!; + if (maxPlayer) { + double best = double.NegativeInfinity; + foreach (var m in s.LegalMoves(true)) { + var (sc, _) = Search(s.Apply(m), depth-1, false, alpha, beta); + if (sc > best) { best = sc; bestMove = m; } + alpha = Math.Max(alpha, best); + if (beta <= alpha) break; + } + return (best, bestMove); + } else { + double best = double.PositiveInfinity; + foreach (var m in s.LegalMoves(false)) { + var (sc, _) = Search(s.Apply(m), depth-1, true, alpha, beta); + if (sc < best) { best = sc; bestMove = m; } + beta = Math.Min(beta, best); + if (beta <= alpha) break; + } + return (best, bestMove); + } + } +} From 8b90b940d27d10513357fc87ccb260a7234391e0 Mon Sep 17 00:00:00 2001 From: fitzero1 <143338658+fitzero1@users.noreply.github.com> Date: Wed, 1 Oct 2025 21:24:38 +0200 Subject: [PATCH 194/232] =?UTF-8?q?Create=200=E2=80=931=20BFS=20(edges=20w?= =?UTF-8?q?eights=20=E2=88=88=20{0,1})?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...31 BFS (edges weights \342\210\210 {0,1})" | 29 +++++++++++++++++++ 1 file changed, 29 insertions(+) create mode 100644 "0\342\200\2231 BFS (edges weights \342\210\210 {0,1})" diff --git "a/0\342\200\2231 BFS (edges weights \342\210\210 {0,1})" "b/0\342\200\2231 BFS (edges weights \342\210\210 {0,1})" new file mode 100644 index 0000000..0933f29 --- /dev/null +++ "b/0\342\200\2231 BFS (edges weights \342\210\210 {0,1})" @@ -0,0 +1,29 @@ +using System.Collections.Generic; + +public static class ZeroOneBFS +{ + // Returns distances from 's'. Graph: Adj[u] => list of (to, w) where w is 0 or 1 + public static Dictionary Dist(Dictionary> Adj, int s) + { + var INF = int.MaxValue/4; + var dist = new Dictionary(); + foreach (var u in Adj.Keys) dist[u] = INF; + var dq = new LinkedList(); + dist[s] = 0; dq.AddFirst(s); + + while (dq.Count > 0) + { + int u = dq.First.Value; dq.RemoveFirst(); + foreach (var (v,w) in Adj[u]) + { + int nd = dist[u] + w; + if (nd < dist[v]) + { + dist[v] = nd; + if (w == 0) dq.AddFirst(v); else dq.AddLast(v); + } + } + } + return dist; + } +} From 1f87df51b1a8bdd0579b2f4e657ac84bfb80a131 Mon Sep 17 00:00:00 2001 From: fitzero1 <143338658+fitzero1@users.noreply.github.com> Date: Wed, 1 Oct 2025 21:25:04 +0200 Subject: [PATCH 195/232] Create DAG Shortest Paths (topological order) --- DAG Shortest Paths (topological order) | 23 +++++++++++++++++++++++ 1 file changed, 23 insertions(+) create mode 100644 DAG Shortest Paths (topological order) diff --git a/DAG Shortest Paths (topological order) b/DAG Shortest Paths (topological order) new file mode 100644 index 0000000..ece8fc3 --- /dev/null +++ b/DAG Shortest Paths (topological order) @@ -0,0 +1,23 @@ +using System.Linq; + +public static class DAGShortestPath +{ + public static (Dictionary dist, Dictionary parent) + Solve(Dictionary> Adj, IEnumerable topo, int s) + { + var dist = Adj.Keys.ToDictionary(x => x, _ => double.PositiveInfinity); + var parent = new Dictionary(); + dist[s] = 0; + + foreach (var u in topo) + { + if (double.IsPositiveInfinity(dist[u])) continue; + foreach (var (v,w) in Adj[u]) + { + double nd = dist[u] + w; + if (nd < dist[v]) { dist[v] = nd; parent[v] = u; } + } + } + return (dist, parent); + } +} From 0dab9eac90072ed4006817eca8b4efb822d7722d Mon Sep 17 00:00:00 2001 From: Srinjan Ghosh Date: Thu, 2 Oct 2025 01:24:40 +0530 Subject: [PATCH 196/232] Sorting a linked List --- Fast membership with HashSet | 2 - Rust/SortLinkedList.rs | 75 +++++++++++++++++++++++++++++++++ 2 files changed, 75 insertions(+), 2 deletions(-) delete mode 100644 Fast membership with HashSet create mode 100644 Rust/SortLinkedList.rs diff --git a/Fast membership with HashSet b/Fast membership with HashSet deleted file mode 100644 index c670cad..0000000 --- a/Fast membership with HashSet +++ /dev/null @@ -1,2 +0,0 @@ -var set = new HashSet { 1, 2, 3 }; -bool ok = set.Contains(2); // O(1) average diff --git a/Rust/SortLinkedList.rs b/Rust/SortLinkedList.rs new file mode 100644 index 0000000..a64377b --- /dev/null +++ b/Rust/SortLinkedList.rs @@ -0,0 +1,75 @@ +use std::fmt; + +// A single node in the list +struct Node { + value: i32, + next: Option>, +} + +// The list itself, holding the head +pub struct LinkedList { + head: Option>, +} + +impl LinkedList { + /// Creates a new, empty linked list. + pub fn new() -> Self { + LinkedList { head: None } + } + + /// Adds a new element to the front of the list. + pub fn push(&mut self, value: i32) { + let new_node = Box::new(Node { + value, + // .take() replaces self.head with None, giving us the old head + next: self.head.take(), + }); + self.head = Some(new_node); + } + + /// Sorts the linked list. + pub fn sort(&mut self) { + // 1. Drain the list into a Vec + let mut values = Vec::new(); + let mut current = self.head.take(); + while let Some(mut node) = current { + values.push(node.value); + current = node.next.take(); + } + + // 2. Sort the Vec + values.sort(); + + // 3. Rebuild the list from the sorted Vec + // We iterate in reverse to maintain the correct order when pushing to the front. + for value in values.iter().rev() { + self.push(*value); + } + } +} + +// Implement the Display trait for easy printing +impl fmt::Display for LinkedList { + fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { + let mut current = &self.head; + while let Some(node) = current { + write!(f, "{} -> ", node.value)?; + current = &node.next; + } + write!(f, "None") + } +} + +fn main() { + let mut list = LinkedList::new(); + list.push(5); + list.push(1); + list.push(8); + list.push(3); + + println!("Unsorted list: {}", list); + + list.sort(); + + println!("Sorted list: {}", list); +} \ No newline at end of file From e6323badbf149711aaa307dcc70a4b5d610bcbce Mon Sep 17 00:00:00 2001 From: Srinjan Ghosh Date: Thu, 2 Oct 2025 01:32:42 +0530 Subject: [PATCH 197/232] BFS Graph traversal --- Rust/BFSGraph.rs | 98 ++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 98 insertions(+) create mode 100644 Rust/BFSGraph.rs diff --git a/Rust/BFSGraph.rs b/Rust/BFSGraph.rs new file mode 100644 index 0000000..7857d90 --- /dev/null +++ b/Rust/BFSGraph.rs @@ -0,0 +1,98 @@ +use std::collections::VecDeque; + + +/// Represents the entire graph. +struct Graph { + // We store all nodes in a vector. The node's ID is its index in the vector. + nodes: Vec, +} + +/// Represents a single node in the graph. +struct Node { + // The neighbors are stored as a list of IDs (indices into the graph's nodes vector). + neighbors: Vec, +} + + +impl Graph { + /// Creates a new, empty graph. + fn new() -> Self { + Graph { nodes: Vec::new() } + } + + /// Adds a new node to the graph and returns its ID. + fn add_node(&mut self) -> usize { + let id = self.nodes.len(); + self.nodes.push(Node { + neighbors: Vec::new(), + }); + id + } + + /// Adds an undirected edge between two nodes. + fn add_edge(&mut self, node1_id: usize, node2_id: usize) { + // Ensure nodes exist before adding an edge + if node1_id < self.nodes.len() && node2_id < self.nodes.len() { + self.nodes[node1_id].neighbors.push(node2_id); + self.nodes[node2_id].neighbors.push(node1_id); + } + } +} + +/// Performs BFS on our custom graph structure. +fn bfs(graph: &Graph, start_node_id: usize) { + if start_node_id >= graph.nodes.len() { + println!("Error: Start node does not exist."); + return; + } + + // A queue for the nodes to visit. + let mut queue = VecDeque::new(); + // A boolean vector to track visited nodes. This is more efficient + // than a HashSet when node IDs are dense indices (0, 1, 2, ...). + let mut visited = vec![false; graph.nodes.len()]; + + // Start the search from the given node ID. + queue.push_back(start_node_id); + visited[start_node_id] = true; + + println!("BFS Traversal Order:"); + + while let Some(current_id) = queue.pop_front() { + print!("{} ", current_id); + + // Iterate over the neighbors of the current node. + for &neighbor_id in &graph.nodes[current_id].neighbors { + // If the neighbor hasn't been visited, mark it and add to the queue. + if !visited[neighbor_id] { + visited[neighbor_id] = true; + queue.push_back(neighbor_id); + } + } + } + println!(); // Add a newline at the end. +} + + +fn main() { + let mut graph = Graph::new(); + + // Create 8 nodes, with IDs from 0 to 7. + for _ in 0..8 { + graph.add_node(); + } + + // Add edges to create the same graph structure as before. + graph.add_edge(0, 1); + graph.add_edge(0, 2); + graph.add_edge(1, 3); + graph.add_edge(1, 4); + graph.add_edge(2, 4); + graph.add_edge(3, 5); + graph.add_edge(4, 5); + graph.add_edge(6, 7); // A disconnected component + + let start_node = 0; + println!("Starting BFS from node {}", start_node); + bfs(&graph, start_node); +} \ No newline at end of file From 23ae8b5a7e9701450ec2afff01e2c6c6c42c8d6b Mon Sep 17 00:00:00 2001 From: Srinjan Ghosh Date: Thu, 2 Oct 2025 01:36:42 +0530 Subject: [PATCH 198/232] DFS Graph --- Rust/DFSGraph.rs | 88 ++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 88 insertions(+) create mode 100644 Rust/DFSGraph.rs diff --git a/Rust/DFSGraph.rs b/Rust/DFSGraph.rs new file mode 100644 index 0000000..633fc10 --- /dev/null +++ b/Rust/DFSGraph.rs @@ -0,0 +1,88 @@ +/// Represents the entire graph. +struct Graph { + // We store all nodes in a vector. The node's ID is its index in the vector. + nodes: Vec, +} + +/// Represents a single node in the graph. +struct Node { + // The neighbors are stored as a list of IDs (indices into the graph's nodes vector). + neighbors: Vec, +} + +impl Graph { + /// Creates a new, empty graph. + fn new() -> Self { + Graph { nodes: Vec::new() } + } + + /// Adds a new node to the graph and returns its ID. + fn add_node(&mut self) -> usize { + let id = self.nodes.len(); + self.nodes.push(Node { + neighbors: Vec::new(), + }); + id + } + + /// Adds an undirected edge between two nodes. + fn add_edge(&mut self, node1_id: usize, node2_id: usize) { + if node1_id < self.nodes.len() && node2_id < self.nodes.len() { + self.nodes[node1_id].neighbors.push(node2_id); + self.nodes[node2_id].neighbors.push(node1_id); + } + } +} + +/// A recursive helper function for the DFS traversal. +fn dfs_recursive(graph: &Graph, current_id: usize, visited: &mut Vec) { + // Mark the current node as visited and process it. + visited[current_id] = true; + print!("{} ", current_id); + + // Recur for all adjacent vertices that haven't been visited yet. + for &neighbor_id in &graph.nodes[current_id].neighbors { + if !visited[neighbor_id] { + dfs_recursive(graph, neighbor_id, visited); + } + } +} + +/// The main DFS function that initializes the search. +fn dfs(graph: &Graph, start_node_id: usize) { + if start_node_id >= graph.nodes.len() { + println!("Error: Start node does not exist."); + return; + } + + // A boolean vector to track visited nodes. + let mut visited = vec![false; graph.nodes.len()]; + + println!("DFS Traversal Order:"); + dfs_recursive(graph, start_node_id, &mut visited); + println!(); // Add a newline at the end. +} + + +fn main() { + let mut graph = Graph::new(); + + // Create 8 nodes, with IDs from 0 to 7. + for _ in 0..8 { + graph.add_node(); + } + + // Add edges to create the same graph structure. + graph.add_edge(0, 1); + graph.add_edge(0, 2); + graph.add_edge(1, 3); + graph.add_edge(1, 4); + graph.add_edge(2, 4); + graph.add_edge(3, 5); + graph.add_edge(4, 5); + graph.add_edge(6, 7); // A disconnected component + + let start_node = 0; + println!("Starting DFS from node {}", start_node); + dfs(&graph, start_node); +} \ No newline at end of file From 6e5babdcda89a1c83df83be2170122b750619f33 Mon Sep 17 00:00:00 2001 From: Srinjan Ghosh <46373606+srinjan-ghosh@users.noreply.github.com> Date: Thu, 2 Oct 2025 01:46:41 +0530 Subject: [PATCH 199/232] Create DFSGraph.rs --- Rust/DFSGraph.rs | 88 ++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 88 insertions(+) create mode 100644 Rust/DFSGraph.rs diff --git a/Rust/DFSGraph.rs b/Rust/DFSGraph.rs new file mode 100644 index 0000000..9c6c1a5 --- /dev/null +++ b/Rust/DFSGraph.rs @@ -0,0 +1,88 @@ +/// Represents the entire graph. +struct Graph { + // We store all nodes in a vector. The node's ID is its index in the vector. + nodes: Vec, +} + +/// Represents a single node in the graph. +struct Node { + // The neighbors are stored as a list of IDs (indices into the graph's nodes vector). + neighbors: Vec, +} + +impl Graph { + /// Creates a new, empty graph. + fn new() -> Self { + Graph { nodes: Vec::new() } + } + + /// Adds a new node to the graph and returns its ID. + fn add_node(&mut self) -> usize { + let id = self.nodes.len(); + self.nodes.push(Node { + neighbors: Vec::new(), + }); + id + } + + /// Adds an undirected edge between two nodes. + fn add_edge(&mut self, node1_id: usize, node2_id: usize) { + if node1_id < self.nodes.len() && node2_id < self.nodes.len() { + self.nodes[node1_id].neighbors.push(node2_id); + self.nodes[node2_id].neighbors.push(node1_id); + } + } +} + +/// A recursive helper function for the DFS traversal. +fn dfs_recursive(graph: &Graph, current_id: usize, visited: &mut Vec) { + // Mark the current node as visited and process it. + visited[current_id] = true; + print!("{} ", current_id); + + // Recur for all adjacent vertices that haven't been visited yet. + for &neighbor_id in &graph.nodes[current_id].neighbors { + if !visited[neighbor_id] { + dfs_recursive(graph, neighbor_id, visited); + } + } +} + +/// The main DFS function that initializes the search. +fn dfs(graph: &Graph, start_node_id: usize) { + if start_node_id >= graph.nodes.len() { + println!("Error: Start node does not exist."); + return; + } + + // A boolean vector to track visited nodes. + let mut visited = vec![false; graph.nodes.len()]; + + println!("DFS Traversal Order:"); + dfs_recursive(graph, start_node_id, &mut visited); + println!(); // Add a newline at the end. +} + + +fn main() { + let mut graph = Graph::new(); + + // Create 8 nodes, with IDs from 0 to 7. + for _ in 0..8 { + graph.add_node(); + } + + // Add edges to create the same graph structure. + graph.add_edge(0, 1); + graph.add_edge(0, 2); + graph.add_edge(1, 3); + graph.add_edge(1, 4); + graph.add_edge(2, 4); + graph.add_edge(3, 5); + graph.add_edge(4, 5); + graph.add_edge(6, 7); // A disconnected component + + let start_node = 0; + println!("Starting DFS from node {}", start_node); + dfs(&graph, start_node); +} From 17da05077d0705f2b36215e9746d2fb625f4cb3c Mon Sep 17 00:00:00 2001 From: Srinjan Ghosh <46373606+srinjan-ghosh@users.noreply.github.com> Date: Thu, 2 Oct 2025 01:50:22 +0530 Subject: [PATCH 200/232] InorderTraversal.rs --- Rust/InorderTraversal.rs | 73 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 73 insertions(+) create mode 100644 Rust/InorderTraversal.rs diff --git a/Rust/InorderTraversal.rs b/Rust/InorderTraversal.rs new file mode 100644 index 0000000..fd467d2 --- /dev/null +++ b/Rust/InorderTraversal.rs @@ -0,0 +1,73 @@ +// A node in the binary tree. +struct Node { + value: i32, + // We use Option> to allow for nullable, heap-allocated children. + // Box allows us to have a recursive type with a known size. + left: Option>, + right: Option>, +} + +// A simple representation of the tree itself. +struct BinaryTree { + root: Option>, +} + + +/// A recursive helper function to perform the in-order traversal. +fn in_order_recursive(node: &Option>, result: &mut Vec) { + // Check if the current node exists. + if let Some(current_node) = node { + // 1. Traverse the left subtree. + in_order_recursive(¤t_node.left, result); + + // 2. Visit the root node. + result.push(current_node.value); + + // 3. Traverse the right subtree. + in_order_recursive(¤t_node.right, result); + } +} + +/// The public function to start the in-order traversal. +pub fn in_order_traversal(tree: &BinaryTree) -> Vec { + let mut result = Vec::new(); + in_order_recursive(&tree.root, &mut result); + result +} + + +fn main() { + // Manually construct a sample binary tree. + // 4 + // / \ + // 2 5 + // / \ + // 1 3 + let tree = BinaryTree { + root: Some(Box::new(Node { + value: 4, + left: Some(Box::new(Node { + value: 2, + left: Some(Box::new(Node { + value: 1, + left: None, + right: None, + })), + right: Some(Box::new(Node { + value: 3, + left: None, + right: None, + })), + })), + right: Some(Box::new(Node { + value: 5, + left: None, + right: None, + })), + })), + }; + + let traversal_result = in_order_traversal(&tree); + + println!("In-order traversal result: {:?}", traversal_result); +} From e7da05e51195c53480ca18a25885d263a87161d9 Mon Sep 17 00:00:00 2001 From: Srinjan Ghosh <46373606+srinjan-ghosh@users.noreply.github.com> Date: Thu, 2 Oct 2025 01:52:33 +0530 Subject: [PATCH 201/232] Create PreOrderTraversal.ts --- Rust/PreOrderTraversal.ts | 76 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 76 insertions(+) create mode 100644 Rust/PreOrderTraversal.ts diff --git a/Rust/PreOrderTraversal.ts b/Rust/PreOrderTraversal.ts new file mode 100644 index 0000000..e4efe38 --- /dev/null +++ b/Rust/PreOrderTraversal.ts @@ -0,0 +1,76 @@ +// ## The Data Structures ## + +// A node in the binary tree. +struct Node { + value: i32, + // Option> allows for nullable, heap-allocated children. + left: Option>, + right: Option>, +} + +// Represents the tree itself. +struct BinaryTree { + root: Option>, +} + +// ## Implementation ## + +/// A recursive helper function for the pre-order traversal. +fn pre_order_recursive(node: &Option>, result: &mut Vec) { + // Check if the current node exists. + if let Some(current_node) = node { + // 1. Visit the root node first. + result.push(current_node.value); + + // 2. Traverse the left subtree. + pre_order_recursive(¤t_node.left, result); + + // 3. Traverse the right subtree. + pre_order_recursive(¤t_node.right, result); + } +} + +/// The public function to start the pre-order traversal. +pub fn pre_order_traversal(tree: &BinaryTree) -> Vec { + let mut result = Vec::new(); + pre_order_recursive(&tree.root, &mut result); + result +} + +// ## Putting It All Together ## + +fn main() { + // Manually construct a sample binary tree. + // 4 + // / \ + // 2 5 + // / \ + // 1 3 + let tree = BinaryTree { + root: Some(Box::new(Node { + value: 4, + left: Some(Box::new(Node { + value: 2, + left: Some(Box::new(Node { + value: 1, + left: None, + right: None, + })), + right: Some(Box::new(Node { + value: 3, + left: None, + right: None, + })), + })), + right: Some(Box::new(Node { + value: 5, + left: None, + right: None, + })), + })), + }; + + let traversal_result = pre_order_traversal(&tree); + + println!("Pre-order traversal result: {:?}", traversal_result); +} From 4b3cb7489987d140971976c73c3a21917ca966ef Mon Sep 17 00:00:00 2001 From: Srinjan Ghosh <46373606+srinjan-ghosh@users.noreply.github.com> Date: Thu, 2 Oct 2025 01:54:26 +0530 Subject: [PATCH 202/232] Create PostOrderTraversal.rs --- Rust/PostOrderTraversal.rs | 76 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 76 insertions(+) create mode 100644 Rust/PostOrderTraversal.rs diff --git a/Rust/PostOrderTraversal.rs b/Rust/PostOrderTraversal.rs new file mode 100644 index 0000000..afa3585 --- /dev/null +++ b/Rust/PostOrderTraversal.rs @@ -0,0 +1,76 @@ +// ## The Data Structures ## + +// A node in the binary tree. +struct Node { + value: i32, + // Option> allows for nullable, heap-allocated children. + left: Option>, + right: Option>, +} + +// Represents the tree itself. +struct BinaryTree { + root: Option>, +} + +// ## Implementation ## + +/// A recursive helper function for the post-order traversal. +fn post_order_recursive(node: &Option>, result: &mut Vec) { + // Check if the current node exists. + if let Some(current_node) = node { + // 1. Traverse the left subtree. + post_order_recursive(¤t_node.left, result); + + // 2. Traverse the right subtree. + post_order_recursive(¤t_node.right, result); + + // 3. Visit the root node last. + result.push(current_node.value); + } +} + +/// The public function to start the post-order traversal. +pub fn post_order_traversal(tree: &BinaryTree) -> Vec { + let mut result = Vec::new(); + post_order_recursive(&tree.root, &mut result); + result +} + +// ## Putting It All Together ## + +fn main() { + // Manually construct a sample binary tree. + // 4 + // / \ + // 2 5 + // / \ + // 1 3 + let tree = BinaryTree { + root: Some(Box::new(Node { + value: 4, + left: Some(Box::new(Node { + value: 2, + left: Some(Box::new(Node { + value: 1, + left: None, + right: None, + })), + right: Some(Box::new(Node { + value: 3, + left: None, + right: None, + })), + })), + right: Some(Box::new(Node { + value: 5, + left: None, + right: None, + })), + })), + }; + + let traversal_result = post_order_traversal(&tree); + + println!("Post-order traversal result: {:?}", traversal_result); +} From f48f48eade63bbd51ffc5f80690cea6c914fd16a Mon Sep 17 00:00:00 2001 From: angryusergit1 <143338893+angryusergit1@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:27:07 +0200 Subject: [PATCH 203/232] Create Bidirectional Dijkstra (faster on sparse, weighted graphs) --- ...jkstra (faster on sparse, weighted graphs) | 79 +++++++++++++++++++ 1 file changed, 79 insertions(+) create mode 100644 C#/Searching/Bidirectional Dijkstra (faster on sparse, weighted graphs) diff --git a/C#/Searching/Bidirectional Dijkstra (faster on sparse, weighted graphs) b/C#/Searching/Bidirectional Dijkstra (faster on sparse, weighted graphs) new file mode 100644 index 0000000..a956749 --- /dev/null +++ b/C#/Searching/Bidirectional Dijkstra (faster on sparse, weighted graphs) @@ -0,0 +1,79 @@ +using System; +using System.Collections.Generic; + +public static class BiDijkstra +{ + public static List ShortestPath( + Dictionary> Adj, int s, int t) + { + var INF = double.PositiveInfinity; + var distF = new Dictionary(); var distB = new Dictionary(); + var prevF = new Dictionary(); var prevB = new Dictionary(); + foreach (var u in Adj.Keys) { distF[u] = INF; distB[u] = INF; } + distF[s] = 0; distB[t] = 0; + + var pqF = new PriorityQueue(); var pqB = new PriorityQueue(); + pqF.Enqueue(s, 0); pqB.Enqueue(t, 0); + var visitedF = new HashSet(); var visitedB = new HashSet(); + int meet = -1; double best = INF; + + while (pqF.Count > 0 && pqB.Count > 0) + { + // forward step + pqF.TryDequeue(out int u, out double du); + if (visitedF.Add(u)) + { + if (distF[u] + distB.GetValueOrDefault(u, INF) < best) { + best = distF[u] + distB[u]; meet = u; + } + foreach (var (v,w) in Adj[u]) + { + double nd = du + w; + if (nd < distF[v]) { distF[v] = nd; prevF[v] = u; pqF.Enqueue(v, nd); } + } + } + + // backward step (using reverse edges) + pqB.TryDequeue(out int x, out double dx); + if (visitedB.Add(x)) + { + if (distF.GetValueOrDefault(x, INF) + distB[x] < best) { + best = distF[x] + distB[x]; meet = x; + } + foreach (var (p,w) in InNeighbors(Adj, x)) // build or cache reverse adjacency + { + double nd = dx + w; + if (nd < distB[p]) { distB[p] = nd; prevB[p] = x; pqB.Enqueue(p, nd); } + } + } + + if (meet != -1 && pqF.Count > 0 && pqB.Count > 0 && + pqF.PeekPriority() + pqB.PeekPriority() >= best) break; + } + if (meet == -1) return new(); + + var left = PathUtil.ReconstructPath(s, meet, prevF); + var right = new List(); + for (int cur = meet; cur != t; cur = prevB[cur]) right.Add(cur); + right.Add(t); + left.AddRange(right.Skip(1)); + return left; + } + + // Helper to get reverse neighbors on the fly + static IEnumerable<(int from,double w)> InNeighbors( + Dictionary> Adj, int v) + { + foreach (var (u, edges) in Adj) + foreach (var (to,w) in edges) + if (to == v) yield return (u,w); + } + + // PeekPriority extension for PriorityQueue + static double PeekPriority(this PriorityQueue pq) + { + pq.TryDequeue(out int u, out double p); + pq.Enqueue(u, p); + return p; + } +} From ba70a71b939f4afee7c485af0e96cc149971b61d Mon Sep 17 00:00:00 2001 From: angryusergit1 <143338893+angryusergit1@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:28:28 +0200 Subject: [PATCH 204/232] =?UTF-8?q?Create=20IDA*=20(Iterative=20Deepening?= =?UTF-8?q?=20A*)=20=E2=80=94=20memory-light=20optimal=20search?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ... \342\200\224 memory-light optimal search" | 40 +++++++++++++++++++ 1 file changed, 40 insertions(+) create mode 100644 "C#/Searching/IDA* (Iterative Deepening A*) \342\200\224 memory-light optimal search" diff --git "a/C#/Searching/IDA* (Iterative Deepening A*) \342\200\224 memory-light optimal search" "b/C#/Searching/IDA* (Iterative Deepening A*) \342\200\224 memory-light optimal search" new file mode 100644 index 0000000..8d4bea7 --- /dev/null +++ "b/C#/Searching/IDA* (Iterative Deepening A*) \342\200\224 memory-light optimal search" @@ -0,0 +1,40 @@ +using System; +using System.Collections.Generic; + +public static class IDAStar +{ + public static List FindPath( + Dictionary> Adj, int start, int goal, Func h) + { + double bound = h(start); + var path = new List { start }; + while (true) + { + double t = Search(path, 0, bound, goal, h, Adj); + if (t == -1) return new List(path); + if (double.IsPositiveInfinity(t)) return new(); + bound = t; + } + } + + static double Search(List path, double g, double bound, int goal, + Func h, Dictionary> Adj) + { + int node = path[^1]; + double f = g + h(node); + if (f > bound) return f; + if (node == goal) return -1; + + double min = double.PositiveInfinity; + foreach (var (v,w) in Adj[node]) + { + if (path.Contains(v)) continue; // avoid cycles + path.Add(v); + double t = Search(path, g + w, bound, goal, h, Adj); + if (t == -1) return -1; + if (t < min) min = t; + path.RemoveAt(path.Count - 1); + } + return min; + } +} From ac10ef52e1f2de7266de082ce723c9581d7f609d Mon Sep 17 00:00:00 2001 From: angryusergit1 <143338893+angryusergit1@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:28:29 +0200 Subject: [PATCH 205/232] Create Custom key with IEqualityComparer --- C#/Searching/Custom key with IEqualityComparer | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 C#/Searching/Custom key with IEqualityComparer diff --git a/C#/Searching/Custom key with IEqualityComparer b/C#/Searching/Custom key with IEqualityComparer new file mode 100644 index 0000000..38c3eda --- /dev/null +++ b/C#/Searching/Custom key with IEqualityComparer @@ -0,0 +1,15 @@ +using System; +using System.Collections.Generic; + +public readonly record struct Point(int X, int Y); + +public sealed class PointComparer : IEqualityComparer +{ + public bool Equals(Point a, Point b) => a.X == b.X && a.Y == b.Y; + public int GetHashCode(Point p) => HashCode.Combine(p.X, p.Y); +} + +// Usage: +var dict = new Dictionary(new PointComparer()); +dict[new Point(1,2)] = "A"; +bool ok = dict.ContainsKey(new Point(1,2)); From 9767821d93e0c87972087f903defcbcd019791cd Mon Sep 17 00:00:00 2001 From: angryusergit1 <143338893+angryusergit1@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:28:30 +0200 Subject: [PATCH 206/232] Create ConcurrentDictionary for thread-safe lookups --- C#/Searching/ConcurrentDictionary for thread-safe lookups | 5 +++++ 1 file changed, 5 insertions(+) create mode 100644 C#/Searching/ConcurrentDictionary for thread-safe lookups diff --git a/C#/Searching/ConcurrentDictionary for thread-safe lookups b/C#/Searching/ConcurrentDictionary for thread-safe lookups new file mode 100644 index 0000000..0b1bb0b --- /dev/null +++ b/C#/Searching/ConcurrentDictionary for thread-safe lookups @@ -0,0 +1,5 @@ +using System.Collections.Concurrent; + +var cache = new ConcurrentDictionary(); +int value = cache.GetOrAdd("key", _ => ExpensiveCompute()); +bool exists = cache.ContainsKey("key"); From 47c4e22efe4f6280991dadbb325f5757be496ae9 Mon Sep 17 00:00:00 2001 From: angryusergit1 <143338893+angryusergit1@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:28:31 +0200 Subject: [PATCH 207/232] Create HashSet with custom comparer (fast membership) --- C#/Searching/HashSet with custom comparer (fast membership) | 2 ++ 1 file changed, 2 insertions(+) create mode 100644 C#/Searching/HashSet with custom comparer (fast membership) diff --git a/C#/Searching/HashSet with custom comparer (fast membership) b/C#/Searching/HashSet with custom comparer (fast membership) new file mode 100644 index 0000000..7fa5df9 --- /dev/null +++ b/C#/Searching/HashSet with custom comparer (fast membership) @@ -0,0 +1,2 @@ +var set = new HashSet(new PointComparer()) { new(0,0), new(1,2) }; +bool seen = set.Contains(new Point(1,2)); From 774cb73da0581f3d344b48b90793e14a527f65fe Mon Sep 17 00:00:00 2001 From: angryusergit1 <143338893+angryusergit1@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:28:45 +0200 Subject: [PATCH 208/232] Create RBFS (Recursive Best-First Search) --- .../RBFS (Recursive Best-First Search) | 49 +++++++++++++++++++ 1 file changed, 49 insertions(+) create mode 100644 C#/Searching/RBFS (Recursive Best-First Search) diff --git a/C#/Searching/RBFS (Recursive Best-First Search) b/C#/Searching/RBFS (Recursive Best-First Search) new file mode 100644 index 0000000..5067014 --- /dev/null +++ b/C#/Searching/RBFS (Recursive Best-First Search) @@ -0,0 +1,49 @@ +using System; +using System.Collections.Generic; +using System.Linq; + +public static class RBFS +{ + public static List Search( + Dictionary> Adj, int start, int goal, Func h) + { + var path = new List { start }; + double fLimit = h(start); + while (true) + { + var (result, newLimit) = RBFSInner(path, 0, fLimit, goal, h, Adj); + if (result != null) return result; + if (double.IsPositiveInfinity(newLimit)) return new(); + fLimit = newLimit; + } + } + + static (List result, double fLimit) RBFSInner( + List path, double g, double fLimit, int goal, + Func h, Dictionary> Adj) + { + int node = path[^1]; + if (node == goal) return (new List(path), fLimit); + + var succ = new List<(int v, double g, double f)>(); + foreach (var (v,w) in Adj[node]) + if (!path.Contains(v)) + succ.Add((v, g + w, Math.Max(g + w + h(v), fLimit))); // classic RBFS uses parent f as floor + + if (succ.Count == 0) return (null, double.PositiveInfinity); + + while (true) + { + succ = succ.OrderBy(s => s.f).ToList(); + var best = succ[0]; + if (best.f > fLimit) return (null, best.f); + + double alt = succ.Count > 1 ? succ[1].f : double.PositiveInfinity; + path.Add(best.v); + var (res, newF) = RBFSInner(path, best.g, Math.Min(fLimit, alt), goal, h, Adj); + path.RemoveAt(path.Count - 1); + succ[0] = (best.v, best.g, newF); + if (res != null) return (res, newF); + } + } +} From 76510616185a226ab0da4bac5c211b1cf8c80524 Mon Sep 17 00:00:00 2001 From: coolusergit1 <143963070+coolusergit1@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:39:12 +0200 Subject: [PATCH 209/232] =?UTF-8?q?Create=20MCTS=20(Monte=20Carlo=20Tree?= =?UTF-8?q?=20Search)=20=E2=80=94=20tiny,=20generic=20skeleton?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...arch) \342\200\224 tiny, generic skeleton" | 84 +++++++++++++++++++ 1 file changed, 84 insertions(+) create mode 100644 "C#/Searching/MCTS (Monte Carlo Tree Search) \342\200\224 tiny, generic skeleton" diff --git "a/C#/Searching/MCTS (Monte Carlo Tree Search) \342\200\224 tiny, generic skeleton" "b/C#/Searching/MCTS (Monte Carlo Tree Search) \342\200\224 tiny, generic skeleton" new file mode 100644 index 0000000..04a4c35 --- /dev/null +++ "b/C#/Searching/MCTS (Monte Carlo Tree Search) \342\200\224 tiny, generic skeleton" @@ -0,0 +1,84 @@ +using System; +using System.Collections.Generic; +using System.Linq; + +public interface IMctsState +{ + bool IsTerminal { get; } + int CurrentPlayer { get; } // +1 / -1 or 0/1 + IEnumerable LegalMoves(); + IMctsState Apply(TMove move); + double RolloutValue(); // random playout result from this state (from current player's pov) +} + +public class MCTS +{ + class Node { + public IMctsState S; + public Node Parent; + public TMove Move; + public List Children = new(); + public int N; // visits + public double W; // total reward + public bool FullyExpanded => Children.Count == _moves.Count; + List _moves; + public Node(IMctsState s, Node p = null, TMove m = default) + { S = s; Parent = p; Move = m; _moves = s.LegalMoves().ToList(); } + public IEnumerable UntriedMoves() => + _moves.Where(m => !Children.Any(c => EqualityComparer.Default.Equals(c.Move, m))); + } + + readonly Random _rng = new(); + readonly int _iterations; + readonly double _c; + + public MCTS(int iterations = 5000, double explorationC = 1.414) { _iterations = iterations; _c = explorationC; } + + public TMove Search(IMctsState root) + { + var R = new Node(root); + for (int i=0; i<_iterations; i++) + { + var node = Select(R); + if (!node.S.IsTerminal && node.UntriedMoves().Any()) + node = Expand(node); + double result = Simulate(node.S); + Backprop(node, result, node.S.CurrentPlayer); + } + return R.Children.OrderByDescending(c => c.N).First().Move; + } + + Node Select(Node n) + { + while (!n.S.IsTerminal && n.Children.Count > 0 && n.FullyExpanded) + n = n.Children.OrderByDescending(UCT).First(); + return n; + + double UCT(Node x) + { + if (x.N == 0) return double.PositiveInfinity; + return x.W / x.N + _c * Math.Sqrt(Math.Log(n.N + 1) / x.N); + } + } + + Node Expand(Node n) + { + var m = n.UntriedMoves().OrderBy(_ => _rng.Next()).First(); + var child = new Node(n.S.Apply(m), n, m); + n.Children.Add(child); + return child; + } + + double Simulate(IMctsState s) => s.RolloutValue(); + + void Backprop(Node n, double value, int playerAtNode) + { + while (n != null) + { + n.N++; + // assume value is from perspective of player that started this state's turn. + n.W += value; + n = n.Parent; + } + } +} From f4d5b476c1b1ac3ec3ce734b9b894fb65dd22fa4 Mon Sep 17 00:00:00 2001 From: coolusergit1 <143963070+coolusergit1@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:39:13 +0200 Subject: [PATCH 210/232] Create Tabu Search (outline for combinatorial optimization) --- ...h (outline for combinatorial optimization) | 37 +++++++++++++++++++ 1 file changed, 37 insertions(+) create mode 100644 C#/Searching/Tabu Search (outline for combinatorial optimization) diff --git a/C#/Searching/Tabu Search (outline for combinatorial optimization) b/C#/Searching/Tabu Search (outline for combinatorial optimization) new file mode 100644 index 0000000..fc31441 --- /dev/null +++ b/C#/Searching/Tabu Search (outline for combinatorial optimization) @@ -0,0 +1,37 @@ +using System; +using System.Collections.Generic; +using System.Linq; + +public static class TabuSearch +{ + public static T Optimize( + T start, + Func score, + Func> neighbors, + int tabuSize = 50, + int maxIter = 2000) + { + var best = start; double bestVal = score(best); + var cur = start; double curVal = bestVal; + var tabu = new Queue(); + var tabuSet = new HashSet(); + + void AddTabu(T x) { tabu.Enqueue(x); tabuSet.Add(x); if (tabu.Count > tabuSize) tabuSet.Remove(tabu.Dequeue()); } + + for (int it=0; it !tabuSet.Contains(n)) + .Select(n => (n, v: score(n))) + .OrderByDescending(p => p.v) + .FirstOrDefault(); + + if (EqualityComparer.Default.Equals(cand.n, default)) break; + + cur = cand.n; curVal = cand.v; + AddTabu(cur); + if (curVal > bestVal) { best = cur; bestVal = curVal; } + } + return best; + } +} From 2db22fa806a2b3bba45f90b9b52c636e2b2e4d66 Mon Sep 17 00:00:00 2001 From: coolusergit1 <143963070+coolusergit1@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:39:15 +0200 Subject: [PATCH 211/232] Create Iterated Local Search (simple meta-heuristic) --- ...rated Local Search (simple meta-heuristic) | 25 +++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 C#/Searching/Iterated Local Search (simple meta-heuristic) diff --git a/C#/Searching/Iterated Local Search (simple meta-heuristic) b/C#/Searching/Iterated Local Search (simple meta-heuristic) new file mode 100644 index 0000000..d3df683 --- /dev/null +++ b/C#/Searching/Iterated Local Search (simple meta-heuristic) @@ -0,0 +1,25 @@ +using System; + +public static class IteratedLocalSearch +{ + static readonly Random R = new(); + + public static T Maximize( + T start, + Func score, + Func localImprove, + Func perturb, + int iters = 200) + { + var best = localImprove(start); + double bestVal = score(best); + + for (int i=0; i bestVal) { best = cand; bestVal = val; } + } + return best; + } +} From 0976bd99b22b8c3eb053509c85c854e9a9e5c571 Mon Sep 17 00:00:00 2001 From: coolusergit1 <143963070+coolusergit1@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:39:16 +0200 Subject: [PATCH 212/232] Create PriorityQueue fallback (< .NET 6) --- C#/Searching/PriorityQueue fallback (< .NET 6) | 18 ++++++++++++++++++ 1 file changed, 18 insertions(+) create mode 100644 C#/Searching/PriorityQueue fallback (< .NET 6) diff --git a/C#/Searching/PriorityQueue fallback (< .NET 6) b/C#/Searching/PriorityQueue fallback (< .NET 6) new file mode 100644 index 0000000..85c13f4 --- /dev/null +++ b/C#/Searching/PriorityQueue fallback (< .NET 6) @@ -0,0 +1,18 @@ +using System.Collections.Generic; + +public class MinPQ +{ + readonly List<(T item,double pri)> h = new(); + public int Count => h.Count; + public void Enqueue(T item, double pri) { h.Add((item,pri)); SiftUp(h.Count-1); } + public bool TryDequeue(out T item, out double pri) + { + if (h.Count == 0) { item = default; pri = 0; return false; } + (item, pri) = h[0]; + var last = h[^1]; h.RemoveAt(h.Count-1); + if (h.Count > 0) { h[0] = last; SiftDown(0); } + return true; + } + void SiftUp(int i){ while(i>0){int p=(i-1)/2; if(h[p].pri<=h[i].pri) break; (h[p],h[i])=(h[i],h[p]); i=p; } } + void SiftDown(int i){ for(;;){int l=i*2+1,r=l+1,sm=i; if(l Date: Thu, 2 Oct 2025 11:40:19 +0200 Subject: [PATCH 213/232] =?UTF-8?q?Create=20k-d=20Tree=20=E2=80=94=20neare?= =?UTF-8?q?st=20neighbor=20(Euclidean,=202D)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...\200\224 nearest neighbor (Euclidean, 2D)" | 36 +++++++++++++++++++ 1 file changed, 36 insertions(+) create mode 100644 "C#/Searching/k-d Tree \342\200\224 nearest neighbor (Euclidean, 2D)" diff --git "a/C#/Searching/k-d Tree \342\200\224 nearest neighbor (Euclidean, 2D)" "b/C#/Searching/k-d Tree \342\200\224 nearest neighbor (Euclidean, 2D)" new file mode 100644 index 0000000..68f6c7d --- /dev/null +++ "b/C#/Searching/k-d Tree \342\200\224 nearest neighbor (Euclidean, 2D)" @@ -0,0 +1,36 @@ +using System; + +public class KDNode { + public double X, Y; public KDNode Left, Right; + public KDNode(double x, double y) { X = x; Y = y; } +} + +public static class KDTree { + public static KDNode Build((double x,double y)[] pts, int l=0, int r=-1, int depth=0) { + if (r==-1) r = pts.Length-1; + if (l>r) return null; + int m=(l+r)/2; bool splitX = (depth%2)==0; + Array.Sort(pts, l, r-l+1, Comparer<(double,double)>.Create((a,b) => + splitX ? a.x.CompareTo(b.x) : a.y.CompareTo(b.y))); + var node = new KDNode(pts[m].x, pts[m].y); + node.Left = Build(pts, l, m-1, depth+1); + node.Right = Build(pts, m+1, r, depth+1); + return node; + } + + public static (double x,double y,double d2) Nearest(KDNode root, double qx, double qy) { + (double x,double y,double d2) best = (double.NaN,double.NaN,double.PositiveInfinity); + void Dfs(KDNode n, int depth){ + if (n==null) return; + double d2 = (n.X-qx)*(n.X-qx) + (n.Y-qy)*(n.Y-qy); + if (d2 < best.d2) best = (n.X,n.Y,d2); + bool splitX = (depth%2)==0; + double delta = splitX ? qx - n.X : qy - n.Y; + var first = delta<0 ? n.Left : n.Right; + var second = delta<0 ? n.Right: n.Left; + Dfs(first, depth+1); + if (delta*delta < best.d2) Dfs(second, depth+1); + } + Dfs(root,0); return best; + } +} From 5e81f6ffe8e432764000d096f5ae18421f120789 Mon Sep 17 00:00:00 2001 From: coolusergit1 <143963070+coolusergit1@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:40:21 +0200 Subject: [PATCH 214/232] =?UTF-8?q?Create=20BK-Tree=20=E2=80=94=20fuzzy=20?= =?UTF-8?q?string=20search=20by=20edit=20distance=20(Levenshtein)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...ing search by edit distance (Levenshtein)" | 46 +++++++++++++++++++ 1 file changed, 46 insertions(+) create mode 100644 "C#/Searching/BK-Tree \342\200\224 fuzzy string search by edit distance (Levenshtein)" diff --git "a/C#/Searching/BK-Tree \342\200\224 fuzzy string search by edit distance (Levenshtein)" "b/C#/Searching/BK-Tree \342\200\224 fuzzy string search by edit distance (Levenshtein)" new file mode 100644 index 0000000..2ab946f --- /dev/null +++ "b/C#/Searching/BK-Tree \342\200\224 fuzzy string search by edit distance (Levenshtein)" @@ -0,0 +1,46 @@ +using System; +using System.Collections.Generic; + +public class BKNode { + public string Word; + public Dictionary Children = new(); + public BKNode(string w) { Word = w; } +} + +public class BKTree { + BKNode _root; + public void Insert(string w) { + if (_root==null){ _root = new BKNode(w); return; } + var cur=_root; + while(true){ + int d = EditDistance(cur.Word, w); + if (!cur.Children.TryGetValue(d, out var nxt)) { cur.Children[d]=new BKNode(w); break; } + cur = nxt; + } + } + public IEnumerable Search(string q, int tol) { + var res = new List(); + void Dfs(BKNode n){ + int d = EditDistance(n.Word, q); + if (d<=tol) res.Add(n.Word); + for (int k=d-tol; k<=d+tol; k++) + if (n.Children.TryGetValue(k, out var c)) Dfs(c); + } + if (_root!=null) Dfs(_root); + return res; + } + + static int EditDistance(string a, string b){ + int n=a.Length,m=b.Length; var dp=new int[m+1]; + for(int j=0;j<=m;j++) dp[j]=j; + for(int i=1;i<=n;i++){ + int prev=dp[0]; dp[0]=i; + for(int j=1;j<=m;j++){ + int tmp=dp[j]; + dp[j]=a[i-1]==b[j-1]? prev : 1+Math.Min(prev, Math.Min(dp[j], dp[j-1])); + prev=tmp; + } + } + return dp[m]; + } +} From f3ccf2547cb98dad3b9db2f6db34140399a1a889 Mon Sep 17 00:00:00 2001 From: gitguru007 <143963251+gitguru007@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:46:25 +0200 Subject: [PATCH 215/232] =?UTF-8?q?Create=20Bloom=20Filter=20=E2=80=94=20f?= =?UTF-8?q?ast=20probabilistic=20membership=20(no=20false=20negatives)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...abilistic membership (no false negatives)" | 32 +++++++++++++++++++ 1 file changed, 32 insertions(+) create mode 100644 "C#/Searching/Bloom Filter \342\200\224 fast probabilistic membership (no false negatives)" diff --git "a/C#/Searching/Bloom Filter \342\200\224 fast probabilistic membership (no false negatives)" "b/C#/Searching/Bloom Filter \342\200\224 fast probabilistic membership (no false negatives)" new file mode 100644 index 0000000..57d854d --- /dev/null +++ "b/C#/Searching/Bloom Filter \342\200\224 fast probabilistic membership (no false negatives)" @@ -0,0 +1,32 @@ +using System; +using System.Security.Cryptography; + +public class BloomFilter { + private readonly BitArray _bits; + private readonly int _k; // hash functions + public BloomFilter(int sizeBits, int hashFunctions=3) { _bits=new BitArray(sizeBits); _k=hashFunctions; } + + public void Add(string s){ + foreach (int h in Hashes(s)) _bits[Pos(h)] = true; + } + public bool MightContain(string s){ + foreach (int h in Hashes(s)) if (!_bits[Pos(h)]) return false; + return true; + } + int Pos(int h) => Math.Abs(h % _bits.Length); + + int[] Hashes(string s){ + // derive k hashes via SHA256 chunks + using var sha = SHA256.Create(); + var bytes = sha.ComputeHash(System.Text.Encoding.UTF8.GetBytes(s)); + var hs = new int[_k]; + for(int i=0;i<_k;i++) hs[i] = BitConverter.ToInt32(bytes, (i*4) % bytes.Length); + return hs; + } + + class BitArray { + readonly int[] a; public int Length {get;} + public BitArray(int bits){ Length=bits; a=new int[(bits+31)/32]; } + public bool this[int i] { get => (a[i>>5] & (1<<(i&31)))!=0; set { if(value) a[i>>5]|=1<<(i&31); else a[i>>5]&=~(1<<(i&31)); } } + } +} From cb12f849725645f8288edf589629189e7afa735a Mon Sep 17 00:00:00 2001 From: gitguru007 <143963251+gitguru007@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:46:27 +0200 Subject: [PATCH 216/232] =?UTF-8?q?Create=20Cuckoo=20Hash=20(two=20tables,?= =?UTF-8?q?=20two=20hashes)=20=E2=80=94=20O(1)=20lookup,=20high=20load=20f?= =?UTF-8?q?actor?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...342\200\224 O(1) lookup, high load factor" | 32 +++++++++++++++++++ 1 file changed, 32 insertions(+) create mode 100644 "C#/Searching/Cuckoo Hash (two tables, two hashes) \342\200\224 O(1) lookup, high load factor" diff --git "a/C#/Searching/Cuckoo Hash (two tables, two hashes) \342\200\224 O(1) lookup, high load factor" "b/C#/Searching/Cuckoo Hash (two tables, two hashes) \342\200\224 O(1) lookup, high load factor" new file mode 100644 index 0000000..c3d1c4b --- /dev/null +++ "b/C#/Searching/Cuckoo Hash (two tables, two hashes) \342\200\224 O(1) lookup, high load factor" @@ -0,0 +1,32 @@ +using System; + +public class CuckooHash { + private readonly string[] T1, T2; + private readonly int _cap; private readonly int _maxKicks; + + public CuckooHash(int capacity=1024, int maxKicks=32){ _cap=capacity; T1=new string[_cap]; T2=new string[_cap]; _maxKicks=maxKicks; } + + int H1(string s)=> Math.Abs(s.GetHashCode()) % _cap; + int H2(string s)=> Math.Abs(HashCode.Combine(146959810, s.GetHashCode())) % _cap; + + public bool Insert(string key){ + if (Contains(key)) return true; + string cur = key; int table = 1; + for(int k=0;k<_maxKicks;k++){ + if (table==1){ + int i=H1(cur); + if (T1[i]==null){ T1[i]=cur; return true; } + (cur, T1[i]) = (T1[i], cur); table=2; + } else { + int j=H2(cur); + if (T2[j]==null){ T2[j]=cur; return true; } + (cur, T2[j]) = (T2[j], cur); table=1; + } + } + return false; // rehash needed in real impl + } + + public bool Contains(string key){ + return T1[H1(key)]==key || T2[H2(key)]==key; + } +} From 8ee337cbf1d8b56364a132cdd0e4e34e2a09a3b2 Mon Sep 17 00:00:00 2001 From: gitguru007 <143963251+gitguru007@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:46:29 +0200 Subject: [PATCH 217/232] =?UTF-8?q?Create=20Suffix=20Array=20=E2=80=94=20s?= =?UTF-8?q?ubstring=20search=20via=20binary=20search?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...\200\224 substring search via binary search" | 17 +++++++++++++++++ 1 file changed, 17 insertions(+) create mode 100644 "C#/Searching/Suffix Array \342\200\224 substring search via binary search" diff --git "a/C#/Searching/Suffix Array \342\200\224 substring search via binary search" "b/C#/Searching/Suffix Array \342\200\224 substring search via binary search" new file mode 100644 index 0000000..4716d01 --- /dev/null +++ "b/C#/Searching/Suffix Array \342\200\224 substring search via binary search" @@ -0,0 +1,17 @@ +using System; +using System.Linq; + +public class SuffixArray { + private readonly string s; private readonly int[] sa; + public SuffixArray(string s){ this.s=s; sa=Enumerable.Range(0,s.Length).OrderBy(i=>s[i..]).ToArray(); } + public bool Contains(string pat){ + int l=0,r=sa.Length-1; + while(l<=r){ + int m=(l+r)/2; + int cmp = string.Compare(s.AsSpan(sa[m], Math.Min(pat.Length, s.Length-sa[m])), pat, StringComparison.Ordinal); + if (cmp==0) return true; + if (cmp<0) l=m+1; else r=m-1; + } + return false; + } +} From 8f083f74fbe8e173a757e2af2a06cfd246c99b4a Mon Sep 17 00:00:00 2001 From: gitguru007 <143963251+gitguru007@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:46:30 +0200 Subject: [PATCH 218/232] =?UTF-8?q?Create=20Grid=20A*=20(8-dir)=20?= =?UTF-8?q?=E2=80=94=20practical=20pathfinding=20with=20obstacles?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...\224 practical pathfinding with obstacles" | 45 +++++++++++++++++++ 1 file changed, 45 insertions(+) create mode 100644 "C#/Searching/Grid A* (8-dir) \342\200\224 practical pathfinding with obstacles" diff --git "a/C#/Searching/Grid A* (8-dir) \342\200\224 practical pathfinding with obstacles" "b/C#/Searching/Grid A* (8-dir) \342\200\224 practical pathfinding with obstacles" new file mode 100644 index 0000000..2ac4822 --- /dev/null +++ "b/C#/Searching/Grid A* (8-dir) \342\200\224 practical pathfinding with obstacles" @@ -0,0 +1,45 @@ +using System; +using System.Collections.Generic; + +public static class GridAStar { + static readonly (int dx,int dy,double w)[] Dir = { + (1,0,1),( -1,0,1),(0,1,1),(0,-1,1), + (1,1,Math.Sqrt(2)), (1,-1,Math.Sqrt(2)), (-1,1,Math.Sqrt(2)), (-1,-1,Math.Sqrt(2)) + }; + + public static List<(int x,int y)> Find(bool[,] blocked, (int x,int y) s, (int x,int y) g) { + int n=blocked.GetLength(0), m=blocked.GetLength(1); + double Heu(int x,int y)=> Math.Max(Math.Abs(x-g.x), Math.Abs(y-g.y)); // Chebyshev + + var gScore = new Dictionary<(int,int),double> { [s]=0 }; + var parent = new Dictionary<(int,int),(int,int)>(); + var open = new PriorityQueue<(int,int),double>(); open.Enqueue(s, Heu(s.x,s.y)); + var closed = new HashSet<(int,int)>(); + + bool In(int x,int y)=> x>=0&&x=0&&y0){ + open.TryDequeue(out var u, out _); + if (u.Equals(g)) return Reconstruct(s,g,parent); + if (!closed.Add(u)) continue; + + foreach (var (dx,dy,w) in Dir){ + int vx=u.Item1+dx, vy=u.Item2+dy; + if (!In(vx,vy)) continue; + double ng = gScore[u] + w; + if (!gScore.TryGetValue((vx,vy), out double gv) || ng < gv){ + gScore[(vx,vy)]=ng; + parent[(vx,vy)]=u; + open.Enqueue((vx,vy), ng + Heu(vx,vy)); + } + } + } + return new(); + + static List<(int,int)> Reconstruct((int,int) s, (int,int) g, Dictionary<(int,int),(int,int)> p){ + var path = new List<(int,int)>{ g }; + while(!path[^1].Equals(s)) path.Add(p[path[^1]]); + path.Reverse(); return path; + } + } +} From 4c7f565a3c2d557ce4a603d387399e023cb47f9e Mon Sep 17 00:00:00 2001 From: gitguru007 <143963251+gitguru007@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:46:31 +0200 Subject: [PATCH 219/232] =?UTF-8?q?Create=20LRU=20Cache=20(hash=20+=20link?= =?UTF-8?q?ed=20list)=20=E2=80=94=20fast=20=E2=80=9Csearch=20with=20evicti?= =?UTF-8?q?on=E2=80=9D?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...2\200\234search with eviction\342\200\235" | 25 +++++++++++++++++++ 1 file changed, 25 insertions(+) create mode 100644 "C#/Searching/LRU Cache (hash + linked list) \342\200\224 fast \342\200\234search with eviction\342\200\235" diff --git "a/C#/Searching/LRU Cache (hash + linked list) \342\200\224 fast \342\200\234search with eviction\342\200\235" "b/C#/Searching/LRU Cache (hash + linked list) \342\200\224 fast \342\200\234search with eviction\342\200\235" new file mode 100644 index 0000000..23cd0d6 --- /dev/null +++ "b/C#/Searching/LRU Cache (hash + linked list) \342\200\224 fast \342\200\234search with eviction\342\200\235" @@ -0,0 +1,25 @@ +using System.Collections.Generic; + +public class LRUCache { + readonly int _cap; + readonly Dictionary> _map = new(); + readonly LinkedList<(K key,V val)> _list = new(); + public LRUCache(int capacity){ _cap = capacity; } + + public bool TryGet(K k, out V v){ + if (_map.TryGetValue(k, out var node)){ + _list.Remove(node); _list.AddFirst(node); v = node.Value.val; return true; + } + v = default!; return false; + } + public void Put(K k, V v){ + if (_map.TryGetValue(k, out var node)){ + node.Value = (k,v); _list.Remove(node); _list.AddFirst(node); + } else { + if (_map.Count == _cap){ + var tail = _list.Last; _map.Remove(tail.Value.key); _list.RemoveLast(); + } + var nn = new LinkedListNode<(K,V)>((k,v)); _list.AddFirst(nn); _map[k]=nn; + } + } +} From 15fc0f9e2568150f6ed4d77baf96f8c4e335659d Mon Sep 17 00:00:00 2001 From: gitguru007 <143963251+gitguru007@users.noreply.github.com> Date: Thu, 2 Oct 2025 11:46:33 +0200 Subject: [PATCH 220/232] Create Locality-Sensitive Hashing (MinHash sketch) --- ...ocality-Sensitive Hashing (MinHash sketch) | 32 +++++++++++++++++++ 1 file changed, 32 insertions(+) create mode 100644 C#/Searching/Locality-Sensitive Hashing (MinHash sketch) diff --git a/C#/Searching/Locality-Sensitive Hashing (MinHash sketch) b/C#/Searching/Locality-Sensitive Hashing (MinHash sketch) new file mode 100644 index 0000000..230d847 --- /dev/null +++ b/C#/Searching/Locality-Sensitive Hashing (MinHash sketch) @@ -0,0 +1,32 @@ +using System; +using System.Collections.Generic; +using System.Linq; + +public static class MinHashLSH { + // Each set -> signature of k hashes; banding groups signatures to buckets + public static int[] MinHashSignature(HashSet set, (int a,int b,int p)[] funcs, int m){ + int k = funcs.Length; var sig = new int[k]; + for (int i=0;i> LSHBuckets(Dictionary> items, + (int a,int b,int p)[] funcs, int m, int bands, int rowsPerBand) + { + var buckets = new Dictionary>(); + foreach (var (id, set) in items){ + var sig = MinHashSignature(set, funcs, m); + for (int b=0;b Date: Thu, 2 Oct 2025 12:09:01 +0200 Subject: [PATCH 221/232] =?UTF-8?q?Create=20Bellman=E2=80=93Ford?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- "C#/Searching/Bellman\342\200\223Ford" | 34 ++++++++++++++++++++++++++ 1 file changed, 34 insertions(+) create mode 100644 "C#/Searching/Bellman\342\200\223Ford" diff --git "a/C#/Searching/Bellman\342\200\223Ford" "b/C#/Searching/Bellman\342\200\223Ford" new file mode 100644 index 0000000..bb8422f --- /dev/null +++ "b/C#/Searching/Bellman\342\200\223Ford" @@ -0,0 +1,34 @@ +using System; +using System.Collections.Generic; + +public static class BellmanFord +{ + public static (Dictionary dist, bool hasNegCycle) + Solve(IEnumerable<(int u,int v,double w)> edges, IEnumerable nodes, int s) + { + var INF = double.PositiveInfinity; + var dist = new Dictionary(); + foreach (var n in nodes) dist[n] = INF; + dist[s] = 0; + + int N = 0; foreach (var _ in nodes) N++; + + // Relax edges N-1 times + for (int i=0; i Date: Thu, 2 Oct 2025 12:10:33 +0200 Subject: [PATCH 222/232] =?UTF-8?q?Create=20Floyd=E2=80=93Warshall=20(all-?= =?UTF-8?q?pairs=20shortest=20paths)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...00\223Warshall (all-pairs shortest paths)" | 22 +++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 "C#/Searching/Floyd\342\200\223Warshall (all-pairs shortest paths)" diff --git "a/C#/Searching/Floyd\342\200\223Warshall (all-pairs shortest paths)" "b/C#/Searching/Floyd\342\200\223Warshall (all-pairs shortest paths)" new file mode 100644 index 0000000..31bcc99 --- /dev/null +++ "b/C#/Searching/Floyd\342\200\223Warshall (all-pairs shortest paths)" @@ -0,0 +1,22 @@ +using System; +using System.Collections.Generic; + +public static class FloydWarshall +{ + public static double[,] APSP(int n, IEnumerable<(int u,int v,double w)> edges) + { + var INF = 1e18; + var d = new double[n,n]; + for (int i=0;i Date: Thu, 2 Oct 2025 12:10:34 +0200 Subject: [PATCH 223/232] =?UTF-8?q?Create=20Johnson=E2=80=99s=20Algorithm?= =?UTF-8?q?=20(APSP=20on=20sparse=20graphs,=20handles=20negatives=20if=20n?= =?UTF-8?q?o=20neg=20cycles)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...aphs, handles negatives if no neg cycles)" | 64 +++++++++++++++++++ 1 file changed, 64 insertions(+) create mode 100644 "C#/Searching/Johnson\342\200\231s Algorithm (APSP on sparse graphs, handles negatives if no neg cycles)" diff --git "a/C#/Searching/Johnson\342\200\231s Algorithm (APSP on sparse graphs, handles negatives if no neg cycles)" "b/C#/Searching/Johnson\342\200\231s Algorithm (APSP on sparse graphs, handles negatives if no neg cycles)" new file mode 100644 index 0000000..f54fb98 --- /dev/null +++ "b/C#/Searching/Johnson\342\200\231s Algorithm (APSP on sparse graphs, handles negatives if no neg cycles)" @@ -0,0 +1,64 @@ +using System; +using System.Collections.Generic; + +public static class Johnson +{ + public static (Dictionary> dist, bool negCycle) + APSP(Dictionary> adj) + { + // Add super-source q -> all nodes with 0 weight + var nodes = new List(adj.Keys); + int q = int.MinValue; adj[q] = new(); + foreach (var v in nodes) adj[q].Add((v, 0)); + + // Bellman–Ford potentials h + var edges = new List<(int u,int v,double w)>(); + foreach (var (u, list) in adj) foreach (var (v,w) in list) edges.Add((u,v,w)); + + var (h, hasNeg) = BellmanFord.Solve(edges, adj.Keys, q); + if (hasNeg) { adj.Remove(q); return (new(), true); } + + // Reweight edges w' = w + h[u] - h[v] + var re = new Dictionary>(); + foreach (var u in adj.Keys) re[u] = new(); + foreach (var (u, list) in adj) + foreach (var (v,w) in list) + if (u != q) re[u].Add((v, w + h[u] - h[v])); + re.Remove(q); adj.Remove(q); + + // Run Dijkstra from each node + var all = new Dictionary>(); + foreach (var s in re.Keys) + { + var (dist, _) = Dijkstra.ShortestPaths(new Graph{ Adj = re }, s); + // Undo reweight: d(u,v) = d'(u,v) - h[u] + h[v] + var fixedD = new Dictionary(); + foreach (var v in dist.Keys) + fixedD[v] = double.IsPositiveInfinity(dist[v]) ? dist[v] : dist[v] - h[s] + h[v]; + all[s] = fixedD; + } + return (all, false); + } +} + +// Minimal Graph + Dijkstra re-use +public class Graph { public Dictionary> Adj = new(); } +public static class Dijkstra { + public static (Dictionary dist, Dictionary parent) + ShortestPaths(Graph g, int start) { + var dist = new Dictionary(); + var parent = new Dictionary(); + foreach (var u in g.Adj.Keys) dist[u] = double.PositiveInfinity; + dist[start] = 0; + var pq = new PriorityQueue(); pq.Enqueue(start, 0); + while (pq.Count>0) { + pq.TryDequeue(out int u, out double du); + if (du != dist[u]) continue; + foreach (var (v,w) in g.Adj[u]) { + double nd = du + w; + if (nd < dist[v]) { dist[v] = nd; parent[v] = u; pq.Enqueue(v, nd); } + } + } + return (dist, parent); + } +} From c733d0d126a9a2c107671ea99cbd7708bde9efa1 Mon Sep 17 00:00:00 2001 From: opensource-guru <144161983+opensource-guru@users.noreply.github.com> Date: Thu, 2 Oct 2025 12:10:36 +0200 Subject: [PATCH 224/232] Create Multi-Source BFS (shortest distance to any seed) --- ...Source BFS (shortest distance to any seed) | 20 +++++++++++++++++++ 1 file changed, 20 insertions(+) create mode 100644 C#/Searching/Multi-Source BFS (shortest distance to any seed) diff --git a/C#/Searching/Multi-Source BFS (shortest distance to any seed) b/C#/Searching/Multi-Source BFS (shortest distance to any seed) new file mode 100644 index 0000000..2e30b1e --- /dev/null +++ b/C#/Searching/Multi-Source BFS (shortest distance to any seed) @@ -0,0 +1,20 @@ +using System.Collections.Generic; + +public static class MultiSourceBFS +{ + public static Dictionary Dist(Dictionary> adj, IEnumerable sources) + { + var dist = new Dictionary(); + var q = new Queue(); + foreach (var s in sources) { dist[s] = 0; q.Enqueue(s); } + + while (q.Count > 0) + { + int u = q.Dequeue(); + foreach (var v in adj[u]) + if (!dist.ContainsKey(v)) + { dist[v] = dist[u] + 1; q.Enqueue(v); } + } + return dist; + } +} From eea97040883f865fd4d653f2acf7a2071df81b00 Mon Sep 17 00:00:00 2001 From: opensource-guru <144161983+opensource-guru@users.noreply.github.com> Date: Thu, 2 Oct 2025 12:10:37 +0200 Subject: [PATCH 225/232] =?UTF-8?q?Create=20Disjoint=20Set=20Union=20(Unio?= =?UTF-8?q?n-Find)=20=E2=80=94=20fast=20connectivity=20queries?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...ion-Find) \342\200\224 fast connectivity queries" | 12 ++++++++++++ 1 file changed, 12 insertions(+) create mode 100644 "C#/Searching/Disjoint Set Union (Union-Find) \342\200\224 fast connectivity queries" diff --git "a/C#/Searching/Disjoint Set Union (Union-Find) \342\200\224 fast connectivity queries" "b/C#/Searching/Disjoint Set Union (Union-Find) \342\200\224 fast connectivity queries" new file mode 100644 index 0000000..8662c02 --- /dev/null +++ "b/C#/Searching/Disjoint Set Union (Union-Find) \342\200\224 fast connectivity queries" @@ -0,0 +1,12 @@ +public class DSU +{ + private readonly int[] p, r; + public DSU(int n){ p=new int[n]; r=new int[n]; for(int i=0;i Find(a)==Find(b); +} From 2060cb37fb24c7c4de456cd67d38689505a52e8f Mon Sep 17 00:00:00 2001 From: opensource-guru <144161983+opensource-guru@users.noreply.github.com> Date: Thu, 2 Oct 2025 12:10:38 +0200 Subject: [PATCH 226/232] =?UTF-8?q?Create=20Ternary=20Search=20Tree=20(TST?= =?UTF-8?q?)=20=E2=80=94=20memory-efficient=20string=20search?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...42\200\224 memory-efficient string search" | 33 +++++++++++++++++++ 1 file changed, 33 insertions(+) create mode 100644 "C#/Searching/Ternary Search Tree (TST) \342\200\224 memory-efficient string search" diff --git "a/C#/Searching/Ternary Search Tree (TST) \342\200\224 memory-efficient string search" "b/C#/Searching/Ternary Search Tree (TST) \342\200\224 memory-efficient string search" new file mode 100644 index 0000000..fc97466 --- /dev/null +++ "b/C#/Searching/Ternary Search Tree (TST) \342\200\224 memory-efficient string search" @@ -0,0 +1,33 @@ +public class TstNode { + public char C; public bool End; + public TstNode Lo, Eq, Hi; + public TstNode(char c){ C=c; } +} + +public class TernarySearchTree +{ + private TstNode root; + + public void Insert(string s){ root = Insert(root, s, 0); } + private TstNode Insert(TstNode n, string s, int i){ + char c = s[i]; + if (n==null) n = new TstNode(c); + if (c < n.C) n.Lo = Insert(n.Lo, s, i); + else if (c > n.C) n.Hi = Insert(n.Hi, s, i); + else if (i+1 < s.Length) n.Eq = Insert(n.Eq, s, i+1); + else n.End = true; + return n; + } + + public bool Search(string s){ + var n = root; int i=0; + while (n!=null){ + char c = s[i]; + if (c < n.C) n = n.Lo; + else if (c > n.C) n = n.Hi; + else if (++i == s.Length) return n.End; + else n = n.Eq; + } + return false; + } +} From 4ff5e603ce27dcaef24103dbfcede825bb2e41e7 Mon Sep 17 00:00:00 2001 From: hitpack-guru <144269983+hitpack-guru@users.noreply.github.com> Date: Thu, 2 Oct 2025 13:56:38 +0200 Subject: [PATCH 227/232] Create Bidirectional A* --- Bidirectional A* | 60 ++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 60 insertions(+) create mode 100644 Bidirectional A* diff --git a/Bidirectional A* b/Bidirectional A* new file mode 100644 index 0000000..dc7c644 --- /dev/null +++ b/Bidirectional A* @@ -0,0 +1,60 @@ +using System; +using System.Collections.Generic; + +public static class BiAStar +{ + public static List Find( + Dictionary> adj, + int s, int t, Func hF, Func hB) + { + var INF = double.PositiveInfinity; + var gF = new Dictionary(); var gB = new Dictionary(); + var pF = new Dictionary(); var pB = new Dictionary(); + foreach (var u in adj.Keys){ gF[u]=INF; gB[u]=INF; } + gF[s]=0; gB[t]=0; + + var oF = new PriorityQueue(); var oB = new PriorityQueue(); + oF.Enqueue(s, hF(s)); oB.Enqueue(t, hB(t)); + var visF = new HashSet(); var visB = new HashSet(); + double best = INF; int meet = -1; + + while (oF.Count>0 && oB.Count>0) + { + Expand(adj, oF, gF, gB, pF, visF, hF, ref best, ref meet, forward:true); + if (meet!=-1) break; + Expand(adj, oB, gB, gF, pB, visB, hB, ref best, ref meet, forward:false); + if (meet!=-1) break; + } + if (meet==-1) return new(); + + // Reconstruct s -> meet -> t + var left = new List(); for (int x=meet; x!=s; x=pF[x]) left.Add(x); left.Add(s); left.Reverse(); + var right = new List(); for (int x=meet; x!=t; x=pB[x]) right.Add(x); right.Add(t); + left.AddRange(right.GetRange(1, right.Count-1)); + return left; + } + + static void Expand( + Dictionary> adj, + PriorityQueue open, + Dictionary g, Dictionary gOther, + Dictionary parent, HashSet done, Func h, + ref double best, ref int meet, bool forward) + { + if (open.Count==0) return; + open.TryDequeue(out int u, out _); + if (!done.Add(u)) return; + + if (g[u] + gOther.GetValueOrDefault(u, double.PositiveInfinity) < best) + { best = g[u] + gOther[u]; meet = u; } + + foreach (var (v,w) in adj[u]) + { + double ng = g[u] + w; + if (ng < g[v]) + { + g[v] = ng; parent[v] = u; open.Enqueue(v, ng + h(v)); + } + } + } +} From d5e2fe9911f7fd3d109e438513499ed9f5f558df Mon Sep 17 00:00:00 2001 From: hitpack-guru <144269983+hitpack-guru@users.noreply.github.com> Date: Thu, 2 Oct 2025 13:56:40 +0200 Subject: [PATCH 228/232] Create Suffix Automaton --- Suffix Automaton | 40 ++++++++++++++++++++++++++++++++++++++++ 1 file changed, 40 insertions(+) create mode 100644 Suffix Automaton diff --git a/Suffix Automaton b/Suffix Automaton new file mode 100644 index 0000000..9c71ada --- /dev/null +++ b/Suffix Automaton @@ -0,0 +1,40 @@ +using System.Collections.Generic; + +public class SuffixAutomaton +{ + class St { public int Len, Link; public Dictionary Next = new(); } + private readonly List st = new() { new St{ Len=0, Link=-1 } }; + private int last = 0; + + public void Extend(char c) + { + int cur = st.Count; st.Add(new St{ Len = st[last].Len + 1 }); + int p = last; + while (p!=-1 && !st[p].Next.ContainsKey(c)) { st[p].Next[c]=cur; p = st[p].Link; } + if (p==-1) st[cur].Link = 0; + else { + int q = st[p].Next[c]; + if (st[p].Len + 1 == st[q].Len) st[cur].Link = q; + else { + int clone = st.Count; st.Add(new St{ + Len = st[p].Len + 1, Link = st[q].Link, Next = new Dictionary(st[q].Next) + }); + while (p!=-1 && st[p].Next.GetValueOrDefault(c) == q) { st[p].Next[c]=clone; p = st[p].Link; } + st[q].Link = st[cur].Link = clone; + } + } + last = cur; + } + + public SuffixAutomaton(string s){ foreach (var ch in s) Extend(ch); } + + public bool Contains(string t) + { + int v=0; + foreach (var ch in t) + { + if (!st[v].Next.TryGetValue(ch, out v)) return false; + } + return true; + } +} From 65345fd06803436b6c178d1651bd0edb28805767 Mon Sep 17 00:00:00 2001 From: hitpack-guru <144269983+hitpack-guru@users.noreply.github.com> Date: Thu, 2 Oct 2025 13:56:41 +0200 Subject: [PATCH 229/232] Create Fringe Search --- Fringe Search | 46 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 46 insertions(+) create mode 100644 Fringe Search diff --git a/Fringe Search b/Fringe Search new file mode 100644 index 0000000..2c605e2 --- /dev/null +++ b/Fringe Search @@ -0,0 +1,46 @@ +using System; +using System.Collections.Generic; + +public static class FringeSearch +{ + public static List FindPath( + Dictionary> adj, int s, int g, Func h) + { + var parent = new Dictionary(); + var gScore = new Dictionary { [s]=0 }; + double fLimit = h(s); + + while (true) + { + double nextFLimit = double.PositiveInfinity; + var fringe = new Stack(); fringe.Push(s); + + var visitedInIter = new HashSet { s }; + while (fringe.Count > 0) + { + int u = fringe.Pop(); + double f = gScore[u] + h(u); + if (f > fLimit) { nextFLimit = Math.Min(nextFLimit, f); continue; } + if (u == g) return Reconstruct(parent, g); + + foreach (var (v,w) in adj[u]) + { + double ng = gScore[u] + w; + if (!gScore.TryGetValue(v, out double gv) || ng < gv) + { + gScore[v] = ng; parent[v] = u; + if (!visitedInIter.Contains(v)) { fringe.Push(v); visitedInIter.Add(v); } + } + } + } + if (double.IsPositiveInfinity(nextFLimit)) return new(); + fLimit = nextFLimit; + } + + static List Reconstruct(Dictionary p, int t){ + var path = new List{ t }; + while (p.ContainsKey(path[^1])) path.Add(p[path[^1]]); + path.Reverse(); return path; + } + } +} From 35dd886a147c1288a89ce81c45f85e6d8e7ff8c5 Mon Sep 17 00:00:00 2001 From: hitpack-guru <144269983+hitpack-guru@users.noreply.github.com> Date: Thu, 2 Oct 2025 13:56:43 +0200 Subject: [PATCH 230/232] Create Meet-in-the-Middle (subset sum existence) --- Meet-in-the-Middle (subset sum existence) | 35 +++++++++++++++++++++++ 1 file changed, 35 insertions(+) create mode 100644 Meet-in-the-Middle (subset sum existence) diff --git a/Meet-in-the-Middle (subset sum existence) b/Meet-in-the-Middle (subset sum existence) new file mode 100644 index 0000000..c307e6c --- /dev/null +++ b/Meet-in-the-Middle (subset sum existence) @@ -0,0 +1,35 @@ +using System; +using System.Collections.Generic; +using System.Linq; + +public static class MeetInTheMiddle +{ + public static bool SubsetSum(int[] a, int target) + { + int n = a.Length, m = n/2; + var left = a[..m]; var right = a[m..]; + + var L = AllSums(left); + var R = AllSums(right); R.Sort(); + + foreach (var x in L) + { + int need = target - x; + int i = R.BinarySearch(need); + if (i >= 0) return true; + } + return false; + + static List AllSums(int[] arr) + { + var sums = new List(); + int k = arr.Length, lim = 1< Date: Thu, 2 Oct 2025 13:57:38 +0200 Subject: [PATCH 231/232] =?UTF-8?q?Create=20Skip=20List=20=E2=80=94=20orde?= =?UTF-8?q?red=20dictionary=20with=20O(log=20n)=20expected=20search?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ... dictionary with O(log n) expected search" | 39 +++++++++++++++++++ 1 file changed, 39 insertions(+) create mode 100644 "Skip List \342\200\224 ordered dictionary with O(log n) expected search" diff --git "a/Skip List \342\200\224 ordered dictionary with O(log n) expected search" "b/Skip List \342\200\224 ordered dictionary with O(log n) expected search" new file mode 100644 index 0000000..cc82e3e --- /dev/null +++ "b/Skip List \342\200\224 ordered dictionary with O(log n) expected search" @@ -0,0 +1,39 @@ +using System; +using System.Collections.Generic; + +public class SkipListNode where TK : IComparable { + public TK Key; public TV Val; + public SkipListNode[] Next; + public SkipListNode(int level, TK k=default, TV v=default){ Key=k; Val=v; Next=new SkipListNode[level]; } +} + +public class SkipList where TK : IComparable { + readonly Random R = new(); readonly int MaxL; int Level; + readonly SkipListNode Head; + public SkipList(int maxLevel=16){ MaxL=maxLevel; Level=1; Head=new SkipListNode(MaxL); } + + int RandLevel(){ int l=1; while(l=0;i--) + while (x.Next[i]!=null && x.Next[i].Key.CompareTo(key)<0) x=x.Next[i]; + x = x.Next[0]; + if (x!=null && x.Key.CompareTo(key)==0){ val=x.Val; return true; } + val=default!; return false; + } + + public void Insert(TK key, TV val){ + var update=new SkipListNode[MaxL]; + var x=Head; + for (int i=Level-1;i>=0;i--){ + while (x.Next[i]!=null && x.Next[i].Key.CompareTo(key)<0) x=x.Next[i]; + update[i]=x; + } + x=x.Next[0]; + if (x!=null && x.Key.CompareTo(key)==0){ x.Val=val; return; } + int lvl=RandLevel(); if (lvl>Level){ for(int i=Level;i(lvl, key, val); + for (int i=0;i Date: Thu, 2 Oct 2025 13:57:39 +0200 Subject: [PATCH 232/232] =?UTF-8?q?Create=20Treap=20=E2=80=94=20randomized?= =?UTF-8?q?=20BST=20(search=20=3D=20BST)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...342\200\224 randomized BST (search = BST)" | 20 +++++++++++++++++++ 1 file changed, 20 insertions(+) create mode 100644 "Treap \342\200\224 randomized BST (search = BST)" diff --git "a/Treap \342\200\224 randomized BST (search = BST)" "b/Treap \342\200\224 randomized BST (search = BST)" new file mode 100644 index 0000000..8a4a1e2 --- /dev/null +++ "b/Treap \342\200\224 randomized BST (search = BST)" @@ -0,0 +1,20 @@ +using System; + +public class TreapNode { + public int Key, Pri; public TreapNode L, R; + public TreapNode(int key, int pri){ Key=key; Pri=pri; } +} +public static class Treap { + static readonly Random R = new(); + public static TreapNode Insert(TreapNode t, int key){ + if (t==null) return new TreapNode(key, R.Next()); + if (key < t.Key) { t.L = Insert(t.L, key); if (t.L.Pri < t.Pri) t = RotateRight(t); } + else if (key > t.Key){ t.R = Insert(t.R, key); if (t.R.Pri < t.Pri) t = RotateLeft(t); } + return t; + } + public static TreapNode Search(TreapNode t, int key){ + while (t!=null && t.Key!=key) t = key < t.Key ? t.L : t.R; return t; + } + static TreapNode RotateRight(TreapNode y){ var x=y.L; y.L=x.R; x.R=y; return x; } + static TreapNode RotateLeft (TreapNode x){ var y=x.R; x.R=y.L; y.L=x; return y; } +}