Kadane_Algorithm.cpp

C++/Kadane_Algorithm.cpp

@@ -0,0 +1,91 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+#define fast                             \
+       ios_base::sync_with_stdio(false); \
+       cin.tie(NULL);
+#define time cerr << "Time taken : " << (float)clock() / CLOCKS_PER_SEC << " secs" \
+                  << "\n";
+#define F first
+#define S second
+#define pb push_back
+typedef long long int ll;
+
+/*-----------------------To find Maximum Sum Subarray-------------------------------------------------------------------------------------*/
+
+void solve()
+{
+
+       int array[] = {4, 3, -2, 6, -14, 7, -1, 4, 5, 7, -10, 2, 9, -10, -5, -9, 6, 1};
+
+       int arraySize = sizeof(array) / sizeof(array[0]);
+
+       /*****************Brute Force***************************/
+
+       int total = array[0];
+       int current_sum = array[0];
+
+       for (int i = 0; i < arraySize; i++)
+       {
+              current_sum = array[i];
+
+              for (int j = i + 1; j < arraySize; j++)
+              {
+
+                     current_sum += array[j];
+                     total = max(current_sum, total);
+              }
+       }
+
+       /********************Kadane's Approach***********************/
+
+       int currentSum = array[0];
+       int overallSum = array[0];
+
+       for (int i = 1; i < arraySize; i++)
+       {
+              if (currentSum >= 0)
+              {
+                     currentSum += array[i];
+              }
+              else
+              {
+                     currentSum = array[i];
+              }
+
+              if (overallSum < currentSum)
+              {
+                     overallSum = currentSum;
+              }
+       }
+
+       cout << "Solution using Kadane's Algo : " << overallSum << "\n";
+       cout << "Solution using Brute Force Approach : " << total << "\n";
+
+       /*
+       Time complexity of Brute force = O(n^2) ; 
+       Time complexity of Kadane's Algorithm = O(n^2) ; 
+       */
+}
+
+int32_t main()
+{
+
+       fast;
+       time;
+
+#ifndef ONLINE_JUDGE
+       freopen("input.txt", "r", stdin);
+       freopen("output.txt", "w", stdout);
+#endif
+
+       int t = 1;
+       // cin >> t;
+
+       while (t--)
+       {
+              solve();
+       }
+
+       return 0;
+}