#include #include using namespace std; const int MOD = 1e9 + 7; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int N, K; cin >> N >> K; vector A(N); for(int i = 0; i < N; i++) cin >> A[i]; int ans = 0; vector>> dp(N + 1, vector>(N + 1, vector(K * N + 1, -1))); dp[0][0][0] = 1; for(int i = 0; i < N; i++){ for(int j = 0; j < N; j++){ for(int k = 0; k < K * N + 1; k++){ if(dp[i][j + 1][k] == -1) dp[i][j + 1][k] = dp[i][j][k]; else if(dp[i][j][k] != -1) dp[i][j + 1][k] = (dp[i][j][k] + dp[i][j + 1][k]) % MOD; if(k + A[j] <= K * N && dp[i][j][k] != -1) { if(dp[i + 1][j + 1][k + A[j]] == -1) dp[i + 1][j + 1][k + A[j]] = dp[i][j][k]; else dp[i + 1][j + 1][k + A[j]] = (dp[i][j][k] + dp[i + 1][j + 1][k + A[j]]) % MOD; } else if(k + A[j] > K * N && dp[i][j][k] != -1){ if(dp[i + 1][j + 1][K * N] == -1) dp[i + 1][j + 1][K * N] = dp[i][j][k]; else dp[i + 1][j + 1][K * N] = (dp[i][j][k] + dp[i + 1][j + 1][K* N]) % MOD; } } } } for(int i = 1; i < N + 1; i++){ for(int j = 0; j < K * N + 1; j++){ if(dp[i][N][j] != -1 && j >= i * K) ans = (ans + dp[i][N][j]) % MOD; } } cout << ans << endl; }