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What is the time complexity of the following dynamic programming implementation of the rod cutting problem? #include<stdio.h> #include<limits.h> int rod_cut(int *prices, int len) { int max_val[len + 1]; int i,j,tmp_price,tmp_idx; max_val[0] = 0; for(i = 1; i <= len; i++) { int tmp_max = INT_MIN; // minimum value an integer can hold for(j = 1; j <= i; j++) { tmp_idx = i - j; //subtract 1 because index of prices starts from 0 tmp_price = prices[j-1] + max_val[tmp_idx]; if(tmp_price > tmp_max) tmp_max = tmp_price; } max_val[i] = tmp_max; } return max_val[len]; } int main() { int prices[]={2, 5, 6, 9, 9, 17, 17, 18, 20, 22},len_of_rod = 5; int ans = rod_cut(prices, len_of_rod); printf("%d",ans); return 0; }