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  1. //
  2. //  main.cpp
  3. //  Matrix Chain Multiplication
  4. //
  5. //  Created by Himanshu on 17/09/21.
  6. //
  7.  
  8. #include <iostream>
  9. #include <climits>
  10. using namespace std;
  11. const int N = 5;
  12.  
  13. void MatrixChainMultiplication (int p[]) {
  14.  
  15.     int M[N][N];
  16.     for (int i=0; i<N; i++) { 
  17.         for (int j=0; j<N; j++) {
  18.             if (i == j) {
  19.                 M[i][j] = 0;
  20.             } else {
  21.                 M[i][j] = INT_MAX;
  22.             }
  23.         }
  24.     }
  25.  
  26.     // c is the length of chained matrices
  27.     for (int c=2; c<N; c++) {
  28.         for (int i=1; i<(N-c+1); i++) {
  29.             int j = i+c-1;
  30.             for (int k=i; k<j; k++) {
  31.                 M[i][j] = min(M[i][j], (M[i][k] + M[k+1][j] + p[i-1]*p[k]*p[j]));
  32.             }
  33.         }
  34.     }
  35.  
  36.     cout<<M[1][N-1]<<endl;
  37.  
  38. }
  39.  
  40. int main() {
  41.     //For matrices M1(5x4), M2(4x6), M3(6x2), M4(2x7)
  42.     int A[] = {5, 4, 6, 2, 7};
  43.     MatrixChainMultiplication(A);
  44. }
  45.  
  46.  
Success #stdin #stdout 0s 5528KB
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stdin 
Standard input is empty
stdout 
158
https://ideone.com/oi9692
language:
C++14 (gcc 8.3)
created:
3 years ago
visibility:
secret

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