mod = 1000000007 eps = 10**-9 def main(): import sys input = sys.stdin.readline # comb init nmax = 2 * 10 ** 5 + 10 # change here fac = [0] * nmax finv = [0] * nmax inv = [0] * nmax fac[0] = 1 fac[1] = 1 finv[0] = 1 finv[1] = 1 inv[1] = 1 for i in range(2, nmax): fac[i] = fac[i - 1] * i % mod inv[i] = mod - inv[mod % i] * (mod // i) % mod finv[i] = finv[i - 1] * inv[i] % mod def comb(n, r): if n < r: return 0 else: return (fac[n] * ((finv[r] * finv[n - r]) % mod)) % mod N, MP, MQ, L = map(int, input().split()) S = list(map(int, input().split())) dp = [[0] * (MQ+1) for _ in range(N+1)] dp[0][0] = 1 for s in S: dp_new = [[0] * (MQ+1) for _ in range(N+1)] cs = [[0] * (MQ+2) for _ in range(N+1)] for n in range(N+1): for j in range(MQ+1): cs[n][j+1] = (cs[n][j] + dp[n][j])%mod for n in range(N+1): for j in range(MQ+1): # use q if n: dp_new[n][j] = (dp_new[n][j] + (cs[n-1][j] - cs[n-1][max(0, j - s)])%mod)%mod # don't use q dp_new[n][j] = (dp_new[n][j] + dp[n][j])%mod dp = dp_new ans = 0 for n in range(N+1): for j in range(MQ+1): p_need = n * L - j if p_need <= MP: ans = (ans + (comb(MP - p_need + N-1, N-1) * dp[n][j])%mod)%mod print(ans) if __name__ == '__main__': main()