#include const int inv[] = { 0, 1, 5, 0, 7, 2, 0, 4, 8 }; int q, n, x; char s[100009]; short fact[100009]; int main() { fact[0] = 1; for (int i = 1; i <= 100000; ++i) { x = i; while (x % 3 == 0) x /= 3; fact[i] = fact[i - 1] * x % 9; } scanf("%d", &q); while (q--) { scanf("%s", s); n = 0; while (s[n]) n++; int ord = 0, mul = 1, ret = 0, f = 0; for (int i = 0; i < n; i++) { if ((s[i] - '0') % 10 != 0) f = 1; ret = (ret + (s[i] - '0') % 10 * (ord == 0 ? mul : (ord == 1 ? mul % 3 * 3 : 0))) % 9; x = i + 1; while (x % 3 == 0) x /= 3, ord--; mul = mul * inv[x % 9] % 9; x = n - i - 1; while (x != 0 && x % 3 == 0) x /= 3, ord++; mul = mul * x % 9; } printf("%d\n", ret + (ret == 0 && f == 1 ? 9 : 0)); } return 0; }