What is the time complexity of the following naive method used to find the maximum sub-array sum in an array containing n elements?
#include<stdio.h>
int main()
{
int arr[1000]={2, -1, 3, -4, 1, -2, -1, 5, -4}, len=9;
int cur_max, tmp_max, strt_idx, sub_arr_idx;
cur_max = arr[0];
for(strt_idx = 0; strt_idx < len; strt_idx++)
{
tmp_max=0;
for(sub_arr_idx = strt_idx; sub_arr_idx < len; sub_arr_idx++)
{
tmp_max +=arr[sub_arr_idx];
if(tmp_max > cur_max)
_____________;
}
}
printf("%d",cur_max);
return 0;
}
#include<stdio.h>
int main()
{
int arr[1000]={2, -1, 3, -4, 1, -2, -1, 5, -4}, len=9;
int cur_max, tmp_max, strt_idx, sub_arr_idx;
cur_max = arr[0];
for(strt_idx = 0; strt_idx < len; strt_idx++)
{
tmp_max=0;
for(sub_arr_idx = strt_idx; sub_arr_idx < len; sub_arr_idx++)
{
tmp_max +=arr[sub_arr_idx];
if(tmp_max > cur_max)
_____________;
}
}
printf("%d",cur_max);
return 0;
}A. O(n2)
B. O(n)
C. O(n3)
D. O(1)
Answer: Option A

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