/* -*- coding: utf-8 -*- * * 3301.cc: No.3301 Make Right Triangle - yukicoder */ #include #include #include using namespace std; /* constant */ /* typedef */ using ll = long long; /* global variables */ /* subroutines */ /* main */ int main() { int tn; scanf("%d", &tn); while (tn--) { int l; scanf("%d", &l); // (m^2-n^2, 2mn, m^2+n^2) ll m, n; if (! (l & 1)) { // l=2mn m = l / 2, n = 1; } else { // l=m^2-n^2=(m+n)(m-n) ->m+n=l,m-n=1->m=(l+1)/2,n=(l-1)/2 m = (l + 1) / 2, n = (l - 1) / 2; } ll mm = m * m, nn = n * n; ll a = mm - nn, b = 2 * m * n, c = mm + nn; printf("%lld %lld %lld\n", a, b, c); /* __int128 aa = (__int128)a * a; __int128 bb = (__int128)b * b; __int128 cc = (__int128)c * c; assert(aa + bb == cc); */ } return 0; }