N = int(input()) A = list(input().split()) B = list(input().split()) X = [0]*5 AB = [] MOD = 998244353 for i in range(N): if len(B[i]) >= 2: flag = False for j in range(len(B[i])): if B[i][j] == "X": flag = True if flag: continue if B[i] == "X": X[int(A[i])] += 1 else: AB.append((int(A[i]), int(B[i]))) dp = [[[[0]*34 for _ in range(5)] for _ in range(9)] for _ in range(len(AB)+1)] dp[0][0][0][0] = 1 for i in range(len(AB)): A, B = AB[i] for j in range(9): for k in range(5): for l in range(34): if dp[i][j][k][l] != 0: dp[i+1][j][k][l] += dp[i][j][k][l] dp[i+1][j][k][l] %= MOD if j < 8 and k+A <= 4 and l+B <= 33: dp[i+1][j+1][k+A][l+B] += dp[i][j][k][l] dp[i+1][j+1][k+A][l+B] %= MOD ans = 0 for i in range(5): ans += dp[-1][-1][i][-1]*X[4-i] ans %= MOD print(ans)