Help with WA in counting graph. LTIME87A : CNTGRP

problem : LTIME87A conting graphs
https://www.codechef.com/viewsolution/37289982

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\dfrac{n(n - 1)}{2} > 2^{31} - 1 for n = 10^5

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yes i tried this also, it didn’t work.
https://www.codechef.com/viewsolution/37290499

i also tried to use a combinations fuction from my past submission which was limited for N <= 5e5.
https://www.codechef.com/viewsolution/37286136
atleast there is one green line in this. :expressionless:

In this line : “(ans *= ncr.get(extra,avail)) %= mod;” the avail variable can reach O(N^2) crossing the limit. How? consider (N-1) nodes with A_i = 1. where N = 1e5.

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