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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.     for (int i=1; i<=sum; i++) {
  16.         for (int j=1; j<=N; j++) {
  17.             dp[i][j] = 0;
  18.         }
  19.     }
  20.  
  21.     dp[0][0] = 1;
  22.     for (int i=1; i<=N; i++) {
  23.         dp[0][i] = 1;
  24.     }
  25.  
  26.     for (int i=1; i<=sum; i++) {
  27.         dp[i][0] = 0;
  28.     }
  29.  
  30.     for (int i=1; i<=sum; i++) {
  31.         for (int j=1; j<=N; j++) {
  32.             dp[i][j] = dp[i][j-1];
  33.             if (A[j-1] <= i) {
  34.                 dp[i][j] = dp[i][j] + dp[i-A[j-1]][j-1];
  35.             }
  36.         }
  37.     }
  38.  
  39.     return dp[sum][N];
  40.  
  41. }
  42.  
  43. int main() {
  44.     int A[N] = {5, 3, 4, 6, 8, 11, 20};
  45.     int sum = 15;
  46.  
  47.     cout<<"Number of subsets with sum "<<sum<<": "<<solve(A, sum)<<endl;
  48.  
  49.     sum = 57;
  50.     cout<<"Number of subsets with sum: "<<sum<<": "<<solve(A, sum)<<endl;
  51. }
  52.  
Success #stdin #stdout 0.01s 5384KB
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stdin
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Standard input is empty
stdout
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Number of subsets with sum 15: 3
Number of subsets with sum: 57: 1
https://ideone.com/nAgBmA
language:
C++14 (gcc 8.3)
created:
2 years ago
visibility:
secret

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