#include <bits/stdc++.h>
using namespace std;
long long MOD = 1000000007;
vector<vector<long long>> matrix_multiplication(vector<vector<long long>> &A, vector<vector<long long>> &B){
  int N = A.size();
  int M = B.size();
  int K = B[0].size();
  vector<vector<long long>> ans(N, vector<long long>(K, 0));
  for (int i = 0; i < N; i++){
    for (int j = 0; j < M; j++){
      for (int k = 0; k < K; k++){
        ans[i][k] += A[i][j] * B[j][k];
        ans[i][k] %= MOD;
      }
    }
  }
  return ans;
}
vector<vector<long long>> matrix_exponentiation(vector<vector<long long>> A, long long b){
  int N = A.size();
  vector<vector<long long>> ans(N, vector<long long>(N, 0));
  for (int i = 0; i < N; i++){
    ans[i][i] = 1;
  }
  while (b > 0){
    if (b % 2 == 1){
      ans = matrix_multiplication(ans, A);
    }
    A = matrix_multiplication(A, A);
    b /= 2;
  }
  return ans;
}
int main(){
  int K, M, N;
  cin >> K >> M >> N;
  vector<int> P(M), Q(M), R(M);
  for (int i = 0; i < M; i++){
    cin >> P[i] >> Q[i] >> R[i];
    P[i]--;
    Q[i]--;
    R[i]--;
  }
  vector<vector<long long>> mat(K * K * K, vector<long long>(K * K * K, 0));
  for (int i = 0; i < M; i++){
    for (int j = 0; j < M; j++){
      if (Q[i] == P[j] && R[i] == Q[j]){
        mat[P[j] + Q[j] * K + R[j] * K * K][P[i] + Q[i] * K + R[i] * K * K] = 1;
      }
    }
  }
  N -= 3;
  mat = matrix_exponentiation(mat, N);
  vector<long long> vec(K * K * K, 0);
  for (int i = 0; i < M; i++){
    if (P[i] == 0){
      vec[P[i] + Q[i] * K + R[i] * K * K] = 1;
    }
  }
  long long ans = 0;
  for (int i = 0; i < K * K * K; i++){
    for (int j = 0; j < K * K * K; j++){
      if (i < K * K){
        ans += mat[i][j] * vec[j];
      }
    }
  }
  ans %= MOD;
  cout << ans << endl;
}