func_code_string: #include <bits/stdc++.h>   using namespace std;   signed main() {     cin.tie(nullptr)->sync_with_stdio(false);     long long _;     for (cin >> _; _--;) {       long long n, m, k;       cin >> n >> m >> k;       long long mn = (n % 2 == 1 ? m / 2 : 0);       long long mx = n * m / 2 - (m % 2 == 1 ? n / 2 : 0);       if (mn <= k and k <= mx and (k - mn) % 2 == 0)         cout <<  YES n ;       else         cout <<  NO n ;     }   }   