#include <bits/stdc++.h>
using namespace std;
const long long mod = 1e9 + 7;
int32_t main() {
  long long n, m, K;
  cin >> n >> m >> K;
  vector<long long> dp(1001), tmp(1001);
  vector<long long> idp(1001);
  for (long long i = 1; i <= 1000; ++i) {
    dp[i] = (dp[i - 1] + 1) % mod;
    idp[i] = (i + idp[i - 1]) % mod;
  }
  for (long long k = 1; k <= K; ++k) {
    tmp[1] = tmp[2] = 0;
    for (long long i = 3; i <= 1000; ++i) {
      tmp[i] = (((i - 1) * dp[i - 2]) % mod - idp[i - 2]) % mod;
    }
    for (long long i = 1; i <= 1000; ++i) {
      dp[i] = (dp[i - 1] + tmp[i]) % mod;
      idp[i] = (idp[i - 1] + (i * tmp[i]) % mod) % mod;
    }
  }
  long long ans =
      (((dp[n] - dp[n - 1]) % mod) * ((dp[m] - dp[m - 1]) % mod)) % mod;
  ans = (ans + mod) % mod;
  cout << ans;
}
