What is the space complexity of the following dynamic programming implementation of the matrix chain problem?

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answerhappygod
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What is the space complexity of the following dynamic programming implementation of the matrix chain problem?

Post by answerhappygod »

#include<stdio.h>
#include<limits.h>
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 = 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)
d) O(n3)
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