def count_factors_of_3(x): count = 0 while x % 3 == 0 and x != 0: count += 1 x = x // 3 return count def main(): import sys input = sys.stdin.read().split() T = int(input[0]) cases = input[1:T+1] for s in cases: n = len(s) sum_mod = 0 current_val = 1 # C(n-1, 0) starts as 1 current_exp = 0 for i in range(n): if i == 0: c = (current_val * (3 ** current_exp)) % 9 else: numerator = (n - i) denominator = i num_3 = count_factors_of_3(numerator) den_3 = count_factors_of_3(denominator) current_exp += (num_3 - den_3) numerator_red = numerator // (3 ** num_3) denominator_red = denominator // (3 ** den_3) inv_denominator_red = pow(denominator_red, -1, 9) current_val = (current_val * numerator_red) % 9 current_val = (current_val * inv_denominator_red) % 9 if current_exp >= 2: c = 0 else: c = (current_val * (3 ** current_exp)) % 9 digit = int(s[i]) sum_mod = (sum_mod + digit * c) % 9 if sum_mod == 0: has_non_zero = any(c != '0' for c in s) print(9 if has_non_zero else 0) else: print(sum_mod) if __name__ == "__main__": main()