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45 changes: 45 additions & 0 deletions CPP/dynamic-programming/count_subsets_with_sum_k.cpp
Original file line number Diff line number Diff line change
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#include <iostream>
#include <vector>
using namespace std;

// Paste your Solution class here (choose one implementation)
class Solution {
int mod = 1000000007;
public:
int perfectSum(vector<int>& arr, int k) {
int n = arr.size();
vector<int>prev(k+1, 0);
vector<int>curr(k+1, 0);
curr[0] = 1;
prev[0] = 1;
if(arr[0]<=k){
prev[arr[0]] = 1;
}
for(int i = 1; i<n; i++){
for(int tar = 1; tar<=k; tar++){
int notTaken = prev[tar];
int take = 0;
if(arr[i]<=tar){
take = prev[tar-arr[i]] % mod;
}
curr[tar] = (notTaken+take) % mod;
}
prev = curr;
}
return prev[k];
}
};

int main() {
int n, k;
cout << "Enter number of elements and target sum: ";
cin >> n >> k;
vector<int> arr(n);
cout << "Enter array elements: ";
for(int i=0; i<n; ++i) cin >> arr[i];

Solution sol;
int result = sol.perfectSum(arr, k);
cout << "Number of subsets with sum " << k << ": " << result << endl;
return 0;
}