#include <bits/stdc++.h>
using namespace std;
const long long MOD = 1000000007;
int main() {
  ios_base::sync_with_stdio(0);
  long long n, m, k;
  cin >> n >> m >> k;
  vector<vector<long long> > dp(1001, vector<long long>(1001, 0));
  vector<vector<long long> > s(1001, vector<long long>(1001, 0));
  dp[1][3] = 1;
  s[1][3] = 1;
  for (int i = 4; i < 1001; ++i) {
    dp[1][i] = (dp[1][i - 1] + (i - 2)) % MOD;
    s[1][i] = (s[1][i - 1] + dp[1][i]) % MOD;
  }
  for (int i = 2; i < 1001; ++i) {
    for (int j = 3; j < 1001; ++j) {
      dp[i][j] = (dp[i][j - 1] + s[i - 1][j - 2]) % MOD;
      s[i][j] = (s[i][j - 1] + dp[i][j]) % MOD;
    }
  }
  cout << (dp[k][n] * dp[k][m]) % MOD;
  return 0;
}
