Query regarding runtime estimation

can an algorithm with the complexity O(N2sqrt(n)) and 1<=N<=105 execute in 2 sec.

A computer can perform about 10^8 instructions per second so according to that this complexity of yours should be able to run in 2 seconds and let me know it if not.

I’m quite sure it won’t. Even a simple loop running 1010 times is enough to give TLE on the TEST problem, which has a time limit of 2.95918 sec. With N=105 and complexity of O(n2sqrt(n)) = O(n5/2) results in approximately 3.16×1012 iterations, which is just not possible.