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  1. //
  2. //  main.cpp
  3. //  Subset with given sum
  4. //
  5. //  Created by Himanshu on 18/09/21.
  6. //
  7.  
  8. #include <iostream>
  9. using namespace std;
  10. const int N = 7;
  11.  
  12. int solve (int A[], int sum) {
  13.     int dp[sum+1][N+1];
  14.  
  15.     // Zero sum is possible with empty subset
  16.     for (int i=0; i<=N; i++) {
  17.         dp[0][i] = 1;
  18.     }
  19.  
  20.     // If subset is empty then any sum
  21.     // greater than 0 is not possible
  22.     for (int i=1; i<=sum; i++) {
  23.         dp[i][0] = 0;
  24.     }
  25.  
  26.     for (int i=1; i<=sum; i++) {
  27.         for (int j=1; j<=N; j++) {
  28.             dp[i][j] = dp[i][j-1];
  29.             if (i >= A[j-1]) {
  30.                 dp[i][j] = dp[i][j] + dp[i-A[j-1]][j-1];
  31.             }
  32.         }
  33.     }
  34.  
  35.     return dp[sum][N];
  36.  
  37. }
  38.  
  39. int main() {
  40.     int A[N] = {5, 3, 4, 6, 8, 11, 20};
  41.     int sum = 15;
  42.     if (solve(A, sum) != 0) {
  43.         cout<<"Subset with sum "<<sum<<" is present"<<endl;
  44.     } else {
  45.         cout<<"No subset with given sum "<<sum<<" is present"<<endl;
  46.     }
  47.  
  48.     sum = 60;
  49.     if (solve(A, sum) != 0) {
  50.         cout<<"Subset with sum "<<sum<<" is present"<<endl;
  51.     } else {
  52.         cout<<"No subset with given sum "<<sum<<" is present"<<endl;
  53.     }
  54. }
  55.  
Success #stdin #stdout 0.01s 5512KB
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stdin
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Standard input is empty
stdout
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Subset with sum 15 is present
No subset with given sum 60 is present
https://ideone.com/XYZ5kj
language:
C++14 (gcc 8.3)
created:
2 years ago
visibility:
secret

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