I was solving this question https://codeforces.com/contest/1132/problem/F using the editorial's method.

Only difference is, I was using iterative dp rather than recursive dp.

My submission https://codeforces.com/contest/1132/submission/114519575

Copy pasted editorial submission https://codeforces.com/contest/1132/submission/114519641

I thought N=500 will give TLE in a O(N^3) solution, however it passed and in less time than the editorial's solution which I think is in O(N^2).

Why is it so? Also, is the editorial solution really O(N^2) or am I wrong? What should be the constraints on N to pass a O(N^3) solution as a general rule of thumb?