#include "bits/stdc++.h" using namespace std; #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) static const int INF = 0x3f3f3f3f; static const long long INFL = 0x3f3f3f3f3f3f3f3fLL; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template static void amin(T &x, U y) { if(y < x) x = y; } template static void amax(T &x, U y) { if(x < y) x = y; } struct BinCoeffPrimePower { vector fact; //(x!)_p vector factinv; //fact[x]^{-1} mod P void init(int maxN_, int p_, int q_) { assert(1 < p_ && 1 <= q_); p = p_, q = q_; P = p; for(int k = 1; k < q; ++ k) P *= p; int maxN = min(max(0, maxN_), P - 1); fact.resize(maxN + 1); fact[0] = 1; for(int x = 1; x <= maxN; ++ x) { fact[x] = x % p == 0 ? fact[x - 1] : mul(fact[x - 1], x); } factinv.resize(maxN + 1); factinv[maxN] = inverse(fact[maxN]); for(int x = maxN; x >= 1; -- x) { factinv[x - 1] = x % p == 0 ? factinv[x] : mul(factinv[x], x); } } int getP() const { return P; } int nCr(int n, int r) const { if(r > n) return 0; assert(0 <= n && (n >= getP() || n < (int)fact.size()) && 0 <= r); int z = n - r; int e0 = 0; for(int u = n / p; u > 0; u /= p) e0 += u; for(int u = r / p; u > 0; u /= p) e0 -= u; for(int u = z / p; u > 0; u /= p) e0 -= u; int em = 0; for(int u = n / P; u > 0; u /= p) em += u; for(int u = r / P; u > 0; u /= p) em -= u; for(int u = z / P; u > 0; u /= p) em -= u; int prod = 1; while(n > 0) { prod = mul(prod, fact[n % P]); prod = mul(prod, factinv[r % P]); prod = mul(prod, factinv[z % P]); n /= p, r /= p, z /= p; } if(!(p == 2 && q >= 3) && em % 2 != 0) prod = P - prod; for(int i = 0; i < e0 && i < q; ++ i) prod = mul(prod, p); return prod; } private: int mul(int x, int y) const { return (long long)x * y % P; } int inverse(signed a) const { a %= P; if(a < 0) a += P; signed b = P, u = 1, v = 0; while(b) { signed t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } if(u < 0) u += P; return u; } int p, q, P; }; int main() { BinCoeffPrimePower bc; bc.init(100000, 3, 2); int T; scanf("%d", &T); for(int ii = 0; ii < T; ++ ii) { char S[100001]; scanf("%s", S); int n = (int)strlen(S); int ans; if(count(S, S + n, '0') == n) { ans = 0; } else { ans = 0; rep(i, n) ans += bc.nCr(n - 1, i) * (S[i] - '0'); ans %= 9; if(ans == 0) ans = 9; } printf("%d\n", ans); } return 0; }