B

#include<bits/stdc++.h>
using namespace std;

#define ll long long
#define nl "\n"

void files(){
    ios_base::sync_with_stdio(false),cin.tie(NULL),cout.tie(NULL);
    #ifndef ONLINE_JUDGE
        freopen("input.txt", "r", stdin), freopen("output.txt", "w", stdout);
    #endif
}


void solve(){
    ll n,m,k; cin>>n>>m>>k;
    ll maxi = n*m-(n+m-1);


    cout<<(k>maxi?"NO":"YES")<<nl;

}

int main(){
    files();
    int t = 1;
    cin>>t;
    while(t--) solve();

    return 0;
}