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  1. #include <stdio.h>
  2. #include <stdlib.h>
  3.  
  4. // Recursive function to count the number of ways to select `nbags` bags
  5. // to sum up to `target` weight.
  6. int countWays(int target, int nbags, int index, int* V, int n) {
  7.     // Base cases
  8.     if (nbags == 0) {
  9.         return target == 0 ? 1 : 0;  // If no bags left, check if the target is 0
  10.     }
  11.     if (index >= n) {
  12.         return 0;  // If no more sacks left to process
  13.     }
  14.  
  15.     // Recursive cases
  16.     // Option 1: Include the current sack
  17.     int include = 0;
  18.     if (target >= V[index]) {
  19.         include = countWays(target - V[index], nbags - 1, index + 1, V, n);
  20.     }
  21.  
  22.     // Option 2: Exclude the current sack
  23.     int exclude = countWays(target, nbags, index + 1, V, n);
  24.  
  25.     return include + exclude;
  26. }
  27.  
  28. int bagsSum(int target, int nbags, int n, int* V) {
  29.     // Call the recursive function starting from index 0
  30.     return countWays(target, nbags, 0, V, n);
  31. }
  32.  
  33. int main() {
  34.     int target, nbags, n, *V, i;
  35.  
  36.     // Read input values
  37.     scanf("%d %d %d", &target, &nbags, &n);
  38.  
  39.     // Allocate memory for sack weights
  40.     V = (int*)malloc(sizeof(int) * n);
  41.  
  42.     // Read weights
  43.     for (i = 0; i < n; i++) {
  44.         scanf("%d", &V[i]);
  45.     }
  46.  
  47.     // Compute and print the result
  48.     printf("%d\n", bagsSum(target, nbags, n, V));
  49.  
  50.     // Free allocated memory
  51.     free(V);
  52.  
  53.     return 0;
  54. }
Success #stdin #stdout 0s 5284KB
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https://ideone.com/xFjOth
language:
C (gcc 8.3)
created:
3 days ago
visibility:
public

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