#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 num = 1; int ans = 0; while(1){ vector>> dp(num + 1, vector>(N + 1, vector(K * num + 1, -1))); dp[0][0][0] = 1; for(int i = 0; i <= num; i++){ for(int j = 0; j < N; j++){ for(int k = 0; k < K * num + 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(i == num) continue; if(k + A[j] <= K * num && 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 * num && dp[i][j][k] != -1){ if(dp[i + 1][j + 1][K * num] == -1) dp[i + 1][j + 1][K * num] = dp[i][j][k]; else dp[i + 1][j + 1][K * num] = (dp[i][j][k] + dp[i + 1][j + 1][K* num]) % MOD; } } } } if(dp[num][N][K * num] == -1) break; ans = (ans + dp[num][N][K * num]) % MOD; num++; } cout << ans << endl; }