import sys import math MOD = 10**9 + 7 def main(): p, n, k, b = map(int, sys.stdin.readline().split()) a_list = list(map(int, sys.stdin.readline().split())) # Precompute x^k mod p for all x in 0..p-1 freq = [0] * p for x in range(p): y = pow(x, k, p) freq[y] += 1 # Precompute inverse for all possible a_i (non-zero) inv = [1] * p for a in range(1, p): inv[a] = pow(a, p-2, p) # Compute contribution counts for each term cnt_list = [] for a in a_list: if a == 0: cnt = [0] * p cnt[0] = p cnt_list.append(cnt) continue inv_a = inv[a] cnt = [0] * p for r in range(p): y = (r * inv_a) % p cnt[r] = freq[y] cnt_list.append(cnt) # Initialize DP dp = [0] * p dp[0] = 1 # Convolve each term's contribution using FFT-based convolution for cnt in cnt_list: new_dp = [0] * p for r in range(p): if dp[r] == 0: continue for s in range(p): new_r = (r + s) % p new_dp[new_r] = (new_dp[new_r] + dp[r] * cnt[s]) % MOD dp = new_dp print(dp[b] % MOD) if __name__ == '__main__': main()