MOD = 10**9 + 7 def main(): import sys input = sys.stdin.read().split() ptr = 0 p = int(input[ptr]); ptr += 1 n = int(input[ptr]); ptr += 1 k = int(input[ptr]); ptr += 1 b = int(input[ptr]); ptr += 1 a_list = list(map(int, input[ptr:ptr+n])) current_dp = [0] * p current_dp[0] = 1 for a in a_list: if a == 0: for j in range(p): current_dp[j] = (current_dp[j] * p) % MOD continue cnt = [0] * p cnt[(0 * a) % p] += 1 # x=0 if p > 1: exponent_mod = k % (p-1) if (p-1) != 0 else k # p-1 is 0 only if p=1, which can't be here for x in range(1, p): pow_val = pow(x, exponent_mod, p) c = (a * pow_val) % p cnt[c] += 1 non_zero = [(c, cnt[c]) for c in range(p) if cnt[c] > 0] new_dp = [0] * p for j in range(p): if current_dp[j] == 0: continue val = current_dp[j] for c, freq in non_zero: new_j = (j + c) % p new_dp[new_j] = (new_dp[new_j] + val * freq) % MOD current_dp = new_dp print(current_dp[b] % MOD) if __name__ == "__main__": main()