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Maximum Sum Increasing Subsequence | DP-14 in C++
In this tutorial, we will be discussing a program to find maximum Sum Increasing Subsequence.
For this we will be provided with an array containing N integers. Our task is to pick up elements from the array adding to the maximum sum such that the elements are in sorted order
Example
#include <bits/stdc++.h>
using namespace std;
//returning the maximum sum
int maxSumIS(int arr[], int n) {
int i, j, max = 0;
int msis[n];
for ( i = 0; i < n; i++ )
msis[i] = arr[i];
for ( i = 1; i < n; i++ )
for ( j = 0; j < i; j++ )
if (arr[i] > arr[j] &&
msis[i] < msis[j] + arr[i])
msis[i] = msis[j] + arr[i];
for ( i = 0; i < n; i++ )
if ( max < msis[i] )
max = msis[i];
return max;
}
int main() {
int arr[] = {1, 101, 2, 3, 100, 4, 5};
int n = sizeof(arr)/sizeof(arr[0]);
cout << "Sum of maximum sum increasing subsequence is "<<
maxSumIS( arr, n ) << endl;
return 0;
}Output
Sum of maximum sum increasing subsequence is 106
Updated on: 22-Jul-2020
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