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60 changes: 60 additions & 0 deletions Recursion DP/subsetSumProblem.cpp
Original file line number Diff line number Diff line change
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#include <bits/stdc++.h>
using namespace std;
#define mod 1e9+7
#define ll long long
#define mp make_pair
#define t() int test;cin>>test;while(test--)
#define setbits(x) __builtin_popcountll(x)
#define si set<int>
#define ii pair<int,int>
#define que_max priority_queue <int>
#define que_min priority_queue <int, vi, greater<int>>
#define IOS ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define endl '\n'

const int N = 2e5 + 5;
int a[N];

//calculate subset sum using dynamic programming
void subsetSum(){

int n,sum;
cin>>n>>sum; //input the length of array and sum
vector<int> v(n);

for(int i=0;i<n;i++) cin>>v[i]; //input the array elements

bool t[n+1][sum+1];

for(int i=0;i<=n;i++){ //initialisation of the 2D array
for(int j=0;j<=sum;j++){
if(i == 0) t[i][j] = false;
if(j == 0) t[i][j] = true;
}
}

for(int i=1;i<=n;i++){
for(int j=1;j<=sum;j++){
if(v[i-1] <= j)
t[i][j] = t[i-1][j-v[i-1]] || t[i-1][j];
else
t[i][j] = t[i-1][j];
}
}
cout<<t[n][sum];
}

int32_t main()

{
#ifndef ONLINE_JUDGE
freopen("input1.txt", "r", stdin);
freopen("output1.txt", "w", stdout);
#endif

IOS;

solve();


}