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26.MinimumPartition.cpp

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+/*
+ *  This program constructs an array from user inputs and
+ *  calculates the minimun difference achievable by partitioning that array into two parts
+ *  using Dynamic Programming
+ *
+ *
+ *      Coded by: Abdurrezak Efe
+ *
+ * */
+#include <iostream>
+#include <cmath>
+using namespace std;
+
+int d[100][100000]; //global aray to memoize assuming sum is not over 100000
+
+int min_part(int arr[], int n, int set_sum, int sum)
+{
+
+    if(d[n][set_sum])
+        return d[n][set_sum];
+
+    if(n == 0)
+        return abs(sum-2*set_sum);
+
+    d[n][set_sum] = min(min_part(arr, n-1, set_sum + arr[n-1], sum), min_part(arr, n-1, set_sum, sum)); //memoizing and calculating
+    return d[n][set_sum];
+
+}
+
+int main()
+{
+    int n;
+    cin >> n;
+
+    int arr[n];
+    int sum=0;
+
+    for(int i=0;i<n;i++)
+        cin >> arr[i], sum+=arr[i];
+
+    cout << min_part(arr, n, 0, sum) << endl;
+}