IIdroyII · IIdroyII · Oct 13, 2021 · Oct 10, 2021 · Oct 10, 2021 · Oct 10, 2021
diff --git a/tog_of_war_Problem.cpp b/tog_of_war_Problem.cpp
@@ -0,0 +1,163 @@
+#include <bits/stdc++.h>
+
+#define ll long long int
+#define ld long double
+
+using namespace std;
+
+void file_io()
+{
+    ios_base::sync_with_stdio(false);
+    cin.tie(NULL);
+#ifndef ONLINE_JUDGE
+    freopen("input.txt", "r", stdin);
+    freopen("output.txt", "w", stdout);
+#endif
+}
+
+class ThreeVal
+{
+public:
+    bool True, False, None;
+
+    ThreeVal()
+    {
+        True = false;
+        False = false;
+        None = false;
+    }
+
+    void setTrue()
+    {
+        True = true;
+        False = false;
+        None = false;
+    }
+
+    void setFalse()
+    {
+        False = true;
+        True = false;
+        None = false;
+    }
+
+    void setNone()
+    {
+        None = true;
+        True = false;
+        False = false;
+    }
+};
+
+void addPerson(vector<ll> *arr, ll n, vector<ThreeVal> *currentElements, ll noOfSelectedElements, vector<ThreeVal> *solution, ll *minimumDifference, ll sum, ll currentSum, ll currentPosition)
+{
+    if (currentPosition == n)
+    {
+        return;
+    }
+
+    if (((n / 2) - noOfSelectedElements) > (n - currentPosition))
+    {
+        return;
+    }
+    addPerson(arr, n, currentElements, noOfSelectedElements, solution, minimumDifference, sum, currentSum, currentPosition + 1);
+    noOfSelectedElements++;
+    currentSum += (*arr)[currentPosition];
+    (*currentElements)[currentPosition].setTrue();
+
+    if (noOfSelectedElements == n / 2)
+    {
+        if ((abs(sum / 2) - currentSum) < *minimumDifference)
+        {
+            *minimumDifference = abs(sum / 2 - currentSum);
+            for (ll i = 0; i < n; i++)
+            {
+                (*solution)[i] = (*currentElements)[i];
+            }
+        }
+    }
+    else
+    {
+        addPerson(arr, n, currentElements, noOfSelectedElements, solution, minimumDifference, sum, currentSum, currentPosition + 1);
+    }
+
+    (*currentElements)[currentPosition].setFalse();
+}
+
+void tugOfWar(vector<ll> *arr, ll n)
+{
+    vector<ThreeVal> *currentElements = new vector<ThreeVal>();
+    for (ll i = 0; i < n; i++)
+    {
+        ThreeVal tv;
+        tv.setNone();
+        currentElements->push_back(tv);
+    }
+
+    vector<ThreeVal> *solution = new vector<ThreeVal>();
+    for (ll i = 0; i < n; i++)
+    {
+        ThreeVal tv;
+        tv.setNone();
+        solution->push_back(tv);
+    }
+
+    ll minimumDifference = INT_MAX;
+
+    ll sum = 0;
+    for (ll i = 0; i < n; i++)
+    {
+        sum += (*arr)[i];
+        (*currentElements)[i].setFalse();
+        (*solution)[i].setFalse();
+    }
+
+    addPerson(arr, n, currentElements, 0, solution, &minimumDifference, sum, 0, 0);
+
+    ll sum1 = 0, sum2 = 0;
+
+    for (ll i = 0; i < n; i++)
+    {
+        // cout << (*solution)[i].True << " " << (*solution)[i].False << " " << (*solution)[i].None << endl;
+        if ((*solution)[i].True)
+        {
+            sum1 += (*arr)[i];
+        }
+
+        if ((*solution)[i].False)
+        {
+            sum2 += (*arr)[i];
+        }
+    }
+
+    if (sum1 < sum2)
+    {
+        cout << sum1 << " " << sum2 << endl;
+    }
+    else
+    {
+        cout << sum2 << " " << sum1 << endl;
+    }
+}
+
+int main()
+{
+    file_io();
+    ll testCases;
+    cin >> testCases;
+    ll n, no;
+    vector<ll> arr;
+    while (testCases--)
+    {
+        arr.clear();
+        cin >> n;
+        for (ll i = 0; i < n; i++)
+        {
+            cin >> no;
+            arr.push_back(no);
+        }
+        tugOfWar(&arr, n);
+    }
+
+    return 0;
+}