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KLeastNumbers.cpp
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/*******************************************************************
Copyright(c) 2016, Harry He
All rights reserved.
Distributed under the BSD license.
(See accompanying file LICENSE.txt at
https://github.com/zhedahht/CodingInterviewChinese2/blob/master/LICENSE.txt)
*******************************************************************/
//==================================================================
// 《剑指Offer——名企面试官精讲典型编程题》代码
// 作者:何海涛
//==================================================================
// 面试题40:最小的k个数
// 题目:输入n个整数,找出其中最小的k个数。例如输入4、5、1、6、2、7、3、8
// 这8个数字,则最小的4个数字是1、2、3、4。
#include <cstdio>
#include "..\Utilities\Array.h"
#include <set>
#include <vector>
#include <iostream>
#include <functional>
using namespace std;
// ====================方法1====================
void GetLeastNumbers_Solution1(int* input, int n, int* output, int k)
{
if(input == nullptr || output == nullptr || k > n || n <= 0 || k <= 0)
return;
int start = 0;
int end = n - 1;
int index = Partition(input, n, start, end);
while(index != k - 1)
{
if(index > k - 1)
{
end = index - 1;
index = Partition(input, n, start, end);
}
else
{
start = index + 1;
index = Partition(input, n, start, end);
}
}
for(int i = 0; i < k; ++i)
output[i] = input[i];
}
// ====================方法2====================
typedef multiset<int, std::greater<int> > intSet;
typedef multiset<int, std::greater<int> >::iterator setIterator;
void GetLeastNumbers_Solution2(const vector<int>& data, intSet& leastNumbers, int k)
{
leastNumbers.clear();
if(k < 1 || data.size() < k)
return;
vector<int>::const_iterator iter = data.begin();
for(; iter != data.end(); ++ iter)
{
if((leastNumbers.size()) < k)
leastNumbers.insert(*iter);
else
{
setIterator iterGreatest = leastNumbers.begin();
if(*iter < *(leastNumbers.begin()))
{
leastNumbers.erase(iterGreatest);
leastNumbers.insert(*iter);
}
}
}
}
// ====================测试代码====================
void Test(char* testName, int* data, int n, int* expectedResult, int k)
{
if(testName != nullptr)
printf("%s begins: \n", testName);
vector<int> vectorData;
for(int i = 0; i < n; ++ i)
vectorData.push_back(data[i]);
if(expectedResult == nullptr)
printf("The input is invalid, we don't expect any result.\n");
else
{
printf("Expected result: \n");
for(int i = 0; i < k; ++ i)
printf("%d\t", expectedResult[i]);
printf("\n");
}
printf("Result for solution1:\n");
int* output = new int[k];
GetLeastNumbers_Solution1(data, n, output, k);
if(expectedResult != nullptr)
{
for(int i = 0; i < k; ++ i)
printf("%d\t", output[i]);
printf("\n");
}
delete[] output;
printf("Result for solution2:\n");
intSet leastNumbers;
GetLeastNumbers_Solution2(vectorData, leastNumbers, k);
printf("The actual output numbers are:\n");
for(setIterator iter = leastNumbers.begin(); iter != leastNumbers.end(); ++iter)
printf("%d\t", *iter);
printf("\n\n");
}
// k小于数组的长度
void Test1()
{
int data[] = {4, 5, 1, 6, 2, 7, 3, 8};
int expected[] = {1, 2, 3, 4};
Test("Test1", data, sizeof(data) / sizeof(int), expected, sizeof(expected) / sizeof(int));
}
// k等于数组的长度
void Test2()
{
int data[] = {4, 5, 1, 6, 2, 7, 3, 8};
int expected[] = {1, 2, 3, 4, 5, 6, 7, 8};
Test("Test2", data, sizeof(data) / sizeof(int), expected, sizeof(expected) / sizeof(int));
}
// k大于数组的长度
void Test3()
{
int data[] = {4, 5, 1, 6, 2, 7, 3, 8};
int* expected = nullptr;
Test("Test3", data, sizeof(data) / sizeof(int), expected, 10);
}
// k等于1
void Test4()
{
int data[] = {4, 5, 1, 6, 2, 7, 3, 8};
int expected[] = {1};
Test("Test4", data, sizeof(data) / sizeof(int), expected, sizeof(expected) / sizeof(int));
}
// k等于0
void Test5()
{
int data[] = {4, 5, 1, 6, 2, 7, 3, 8};
int* expected = nullptr;
Test("Test5", data, sizeof(data) / sizeof(int), expected, 0);
}
// 数组中有相同的数字
void Test6()
{
int data[] = {4, 5, 1, 6, 2, 7, 2, 8};
int expected[] = {1, 2};
Test("Test6", data, sizeof(data) / sizeof(int), expected, sizeof(expected) / sizeof(int));
}
// 输入空指针
void Test7()
{
int* expected = nullptr;
Test("Test7", nullptr, 0, expected, 0);
}
int main(int argc, char* argv[])
{
Test1();
Test2();
Test3();
Test4();
Test5();
Test6();
Test7();
return 0;
}