import sys sys.setrecursionlimit(10**6) int1 = lambda x: int(x)-1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.buffer.readline()) def LI(): return list(map(int, sys.stdin.buffer.readline().split())) def LI1(): return list(map(int1, sys.stdin.buffer.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def BI(): return sys.stdin.buffer.readline().rstrip() def SI(): return sys.stdin.buffer.readline().rstrip().decode() # dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] # dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] dij = [(0, 1), (1, 0), (1, 1), (1, -1)] inf = 10**19 # md = 998244353 md = 10**9+7 def nHr(hn, hr): return nCr(hn+hr-1, hr-1) def nPr(com_n, com_r): if com_r < 0: return 0 if com_n < com_r: return 0 return fac[com_n]*ifac[com_n-com_r]%md def nCr(com_n, com_r): if com_r < 0: return 0 if com_n < com_r: return 0 return fac[com_n]*ifac[com_r]%md*ifac[com_n-com_r]%md # 準備 n_max = 30000 fac = [1] for i in range(1, n_max+1): fac.append(fac[-1]*i%md) ifac = [1]*(n_max+1) ifac[n_max] = pow(fac[n_max], md-2, md) for i in range(n_max-1, 1, -1): ifac[i] = ifac[i+1]*(i+1)%md n, p, q, l = LI() ss = LI() # dp[i][j]...i人にj個のqを配った dp = [[0]*(q+1) for _ in range(n+1)] dp[0][0] = 1 for k, s in enumerate(ss): for i in range(k, -1, -1): v = 0 for j in range(q): v += dp[i][j] if j-s >= 0: v -= dp[i][j-s] v %= md dp[i+1][j+1] += v dp[i+1][j+1] %= md # p2D(dp) ans = 0 for i in range(n+1): for j in range(q+1): c = dp[i][j] if c == 0: continue r = p-(i*l-j) ans += c*nCr(r+n-1, r) ans %= md # print(i,j,r,ans) print(ans)