import sys from collections import defaultdict def main(): N, K = map(int, sys.stdin.readline().split()) c = list(map(int, sys.stdin.readline().split())) if sum(c) != N: print(0) return # Precompute factorials up to N max_n = N factorial = [1] * (max_n + 1) for i in range(1, max_n + 1): factorial[i] = factorial[i-1] * i # Compute initial multinomial coefficient initial_counts = tuple(c) sum_counts = sum(initial_counts) denominator = 1 for count in initial_counts: if count > 0: denominator *= factorial[count] multinom = factorial[sum_counts] // denominator # Initialize DP dp = defaultdict(int) dp[(initial_counts, 0)] = multinom for _ in range(N): new_dp = defaultdict(int) for (counts, r), ways in dp.items(): s = sum(counts) if s == 0: continue for d in range(9): if counts[d] == 0: continue new_counts = list(counts) new_counts[d] -= 1 new_counts_tuple = tuple(new_counts) digit = d + 1 new_r = (r * 10 + digit) % K new_ways = ways * counts[d] // s new_dp[(new_counts_tuple, new_r)] += new_ways dp = new_dp zero_counts = tuple([0] * 9) print(dp.get((zero_counts, 0), 0)) if __name__ == "__main__": main()