#pragma GCC optimize("Ofast", "unroll-loops") #include using namespace std; #define ll long long const ll mod = 1000000007LL; struct Matrix { int n; vector> element; Matrix(int n) : n(n) { element.resize(n); for (int i = 0; i < n; ++i) element[i].resize(n, 0); } Matrix operator *(Matrix a) { assert(n == a.n); Matrix res(n); for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { ll tmp = 0; for (int k = 0; k < n; ++k) { tmp += element[i][k] * a.element[k][j] % mod; tmp %= mod; } res.element[i][j] = tmp; } } return res; } Matrix pow(ll k) { if (k == 0) { Matrix res(n); for (int i = 0; i < n; ++i) res.element[i][i] = 1; return res; } Matrix tmp = pow(k / 2); if (k % 2 == 1) return tmp * tmp * (*this); return tmp * tmp; } }; int main() { int N, W; ll K; cin >> N >> W >> K; vector A(N); for (int i = 0; i < N; ++i) cin >> A[i]; sort(A.begin(), A.end()); // dp[i] := i個先に行く方法 vector dp(2 * W + 1, 0); dp[0] = 1; for (int i = 1; i <= 2 * W; ++i) { for (int j = 0; j < N; ++j) { if (i < A[j]) break; dp[i] = (dp[i] + dp[i - A[j]]) % mod; } } // front1 := 一個先の石に飛ぶ方法 // front2 := 二個先の石に(一個先を飛ばして)飛ぶ方法 ll front1 = dp[W]; ll front2 = (dp[2 * W] - (dp[W] * dp[W] % mod) + mod) % mod; // 遷移行列を求める Matrix X(2); X.element[0][0] = front1; X.element[0][1] = front2; X.element[1][0] = 1; // 答えの計算 X = X.pow(K); cout << (X.element[0][0]) << endl; return 0; }