import sys from sys import stdin from collections import defaultdict def main(): N, K = map(int, stdin.readline().split()) original_counts = list(map(int, stdin.readline().split())) original_counts = original_counts[:9] # Ensure only 9 elements # Compute weights for each position positions = list(range(N)) weights = [] for j in positions: exponent = N - 1 - j w = pow(10, exponent, K) if K != 0 else 0 weights.append(w) # Split into group A and group B m = N // 2 group_a_positions = positions[:m] group_b_positions = positions[m:] # Process group A group_a_dict = defaultdict(lambda: defaultdict(int)) def backtrack_a(pos_idx, used, current_sum): if pos_idx == len(group_a_positions): remaining = tuple(original_counts[i] - used[i] for i in range(9)) group_a_dict[remaining][current_sum % K] += 1 return current_pos = group_a_positions[pos_idx] w = weights[current_pos] for digit in range(1, 10): idx = digit - 1 if original_counts[idx] == 0: continue if used[idx] >= original_counts[idx]: continue new_used = list(used) new_used[idx] += 1 new_sum = current_sum + digit * w backtrack_a(pos_idx + 1, tuple(new_used), new_sum) backtrack_a(0, tuple([0]*9), 0) # Process group B group_b_dict = defaultdict(lambda: defaultdict(int)) def backtrack_b(pos_idx, used, current_sum): if pos_idx == len(group_b_positions): required = tuple(used) group_b_dict[required][current_sum % K] += 1 return current_pos = group_b_positions[pos_idx] w = weights[current_pos] for digit in range(1, 10): idx = digit - 1 if original_counts[idx] == 0: continue if used[idx] >= original_counts[idx]: continue new_used = list(used) new_used[idx] += 1 new_sum = current_sum + digit * w backtrack_b(pos_idx + 1, tuple(new_used), new_sum) backtrack_b(0, tuple([0]*9), 0) # Combine the results total = 0 for remaining in group_a_dict: if remaining not in group_b_dict: continue a_sums = group_a_dict[remaining] b_sums = group_b_dict[remaining] for s_a in a_sums: target = (-s_a) % K if target in b_sums: total += a_sums[s_a] * b_sums[target] print(total) if __name__ == '__main__': main()