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Count_No_Of_Subsets_with_given_diff.cpp
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// No of Subsets with given diff
// Input :
// 4
// 1 1 2 3
// 1
// Output :
// 3
#include <iostream>
using namespace std;
//TARGET SUM IS SAME AS THIS
class starry
{
public:
int count (int arr[],int sum,int n)
{
int t[n][sum+1];
for(int i=0;i<n+1;i++)
{
for(int j=0;j<sum+1;j++)
{
if(i==0)
t[i][j]=0;
if(j==0)
t[i][j]=1;
}
}
for(int i=1;i<n+1;i++)
{
for(int j=1;j<sum+1;j++)
{
if(arr[i-1]<=j)
t[i][j]=t[i-1][j-arr[i-1]]+t[i-1][j];
else
t[i][j]=t[i-1][j];
}
}
return t[n][sum];
}
};
int main()
{
starry ob;
// Input the array
int n; cin >> n;
int arr[n];
for(int i=0; i<n; i++) cin >> arr[i];
// Input diff you want to get
int diff; cin >> diff;
int total_sum=0,sum;
for(int i=0;i<n;i++)
{
total_sum+=arr[i];
}
sum=(diff+total_sum)/2;
cout<<ob.count(arr,sum,n);
}