// yukicoder: No.432 占い(Easy)
// 2019.4.17 bal4u

#include <stdio.h>
#include <string.h>

#if 1
#define gc() getchar_unlocked()
#define pc(c) putchar_unlocked(c)
#else
#define gc() getchar()
#define pc(c) putchar(c)
#endif
int in()
{
	int n = 0, c = gc();
	do n = 10 * n + (c & 0xf), c = gc(); while (c >= '0');
	return n;
}

int ins(char *s)  // 文字列の入力　スペース以下の文字で入力終了
{
	char *p = s;
	do *s = gc();
	while (*s++ > ' ');
	*--s = 0;
	return s - p;
}

#define MOD 9

char  S[100003], *p;
int tbl[100003][2]; int id = -1;
char  t[100003];
int inv[10] = {0,1,5,0,7,2,0,4,8,0};

int p3(int *a, int n) {
	int r = 0;
	while (n % 3 == 0) r++, n /= 3;
	*a = n;
	return r;
}

void calcBC(int n)
{
	int i, a, b;
	
	tbl[0][0] = 1, tbl[0][1] = 0, t[0] = 1;
	if (n == 0) return;
	tbl[1][1] = p3(&a, n), tbl[1][0] = a % MOD, t[1] = n % MOD;
	for (i = 2; i <= n; i++) {
		tbl[i][1] = tbl[i-1][1] + p3(&a, n+1-i) - p3(&b, i);
		tbl[i][0] = (tbl[i-1][0] * a * inv[(b % MOD)]) % MOD;
		if (tbl[i][1] >= 2) t[i] = 0;
		else if (tbl[i][1] == 0) t[i] = tbl[i][0] % MOD;
		else t[i] = tbl[i][0]*3 % MOD;
	}
}
		
int main()
{
	int i, w, s, T;

	T = in();
	while (T--) {
		w = ins(p = S)-1;
		while (*p == '0') p++;
		if (*p == 0) s = 0;
		else {
			if (id != w) calcBC(w), id = w;
			s = 0; for (i = 0; i <= w; i++) {
				if (S[i] < '9') s += (S[i] & 0xf) * t[i];
			}
			s %= 9;
			if (s == 0) s = 9;
		}
		pc('0'+s), pc('\n');
	}
	return 0;
}