Q260
What is the space complexity of the following dynamic programming implementation of the matrix chain problem? #include #include int mat_chain_multiplication(int *mat, int n) int arr[n][n]; int i,k,row,col,len; for(i=1;i<n;i++) arr[i][i] = 0; for(len = 2; len < n; len++) for(row = 1; row <= n - len + 1; row++) col = row + len - 1; arr[row][col] = INT_MAX; for(k = row; k <= col - 1; k++) int tmp = arr[row][k] + arr[k + 1][col] + mat[row - 1] * mat[k] * mat[col]; if(tmp < arr[row][col]) arr[row][col] = tmp; return arr[1][n - 1]; int main() int mat[6] = 20,5,30,10,40; int ans = mat_chain_multiplication(mat,5); printf("%d",ans); return 0;
A.
O(1)
B.
O(n)
C.
O(n2)
AnswerD.
O(n3)
Answer: Option C
Solution
Answer: Option C
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