// yukicoder: No.432 占い(Easy) // 2019.4.17 bal4u #include #include #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) { char *p = s, c; do c = gc(), *s++ = c & 0xf; while (c > ' '); *--s = 0; return s-p; } #define MOD 9 char S[1004]; char tbl[1001][1001]; int combi(int n, int k) { int ans; if (tbl[n][k] >= 0) return tbl[n][k]; if ((k << 1) > n) k = n-k; if (k == 0) ans = 1; else if (k == 1) ans = n % MOD; else ans = (combi(n-1, k) + combi(n-1, k-1)) % MOD; return tbl[n][k] = ans; } int main() { int i, w, s, T; memset(tbl, -1, sizeof(tbl)); T = in(); while (T--) { w = ins(S)-1, s = 0; for (i = 0; i <= w; i++) { if (S[i] < '9') s += (S[i] & 0xf) * combi(w, i); } s %= 9; if (s == 0) pc('9'); else pc('0'+s); pc('\n'); } return 0; }