Merge pull request #125 from Adityakumar37/add-max

Added solution for Maximum Sum of Non-Adjacent Elements problem

Author: ks-iitjmu

9_Dynamic_programing/maxNonAdjacentSum.cpp

@@ -0,0 +1,35 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+// Function to find the maximum sum of non-adjacent elements
+int maxNonAdjacentSum(vector<int>& nums) {
+    int n = nums.size();
+
+    // Edge cases
+    if (n == 0) return 0;
+    if (n == 1) return nums[0];
+
+    // incl = max sum including current element
+    // excl = max sum excluding current element
+    int incl = nums[0];
+    int excl = 0;
+
+    for (int i = 1; i < n; i++) {
+        int new_excl = max(incl, excl); // maximum till previous element
+        incl = excl + nums[i];          // include current element
+        excl = new_excl;                // update exclude
+    }
+
+    // Final answer is the max of incl and excl
+    return max(incl, excl);
+}
+
+int main() {
+    vector<int> nums1 = {3, 2, 7, 10};
+    vector<int> nums2 = {3, 2, 5, 10, 7};
+
+    cout << "Example 1 Output: " << maxNonAdjacentSum(nums1) << endl; // 13
+    cout << "Example 2 Output: " << maxNonAdjacentSum(nums2) << endl; // 15
+
+    return 0;
+}