Problem: 2050C - Uninteresting Number
Language: python

Solution 1 (runtime: 124 ms):
def can_be_divisible_by_9(n_str):
    # 计算数字各位之和
    S = sum(int(ch) for ch in n_str)
    if S % 9 == 0:
        return "YES"
    
    # 计算目标值
    target = (-S) % 9
    new_target = (5 * target) % 9
    
    # 统计数字中2和3的个数
    cnt2 = n_str.count('2')
    cnt3 = n_str.count('3')
    
    # 枚举选择多少个3的平方（6）
    for b in range(0, min(cnt3, 8) + 1):
        a = (new_target - 3 * b) % 9
        if 0 <= a <= cnt2:
            return "YES"
    return "NO"

def main():
    import sys
    input = sys.stdin.read
    data = input().split()
    
    idx = 0
    t = int(data[idx])
    idx += 1
    results = []
    
    for _ in range(t):
        n_str = data[idx]
        idx += 1
        result = can_be_divisible_by_9(n_str)
        results.append(result)
    
    for res in results:
        print(res)

if __name__ == "__main__":
    main()

Solution 2 (runtime: 156 ms):
import sys, os, math, random
from _collections_abc import range_iterator
from io import BytesIO, IOBase
import copy
from collections import defaultdict
import random



# sys.setrecursionlimit(10**6)
BUFSIZE = 4096
MOD = 10 ** 9 + 7
MODD = 998244353
inf = float('inf')


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)

input = lambda: sys.stdin.readline().rstrip("\r\n")
i = lambda: input()
ii = lambda: int(input())
MI = lambda: map(str, input().split())
mi = lambda: map(int, input().split())
li = lambda: list(input().split())
lmi = lambda: list(map(int, input().split()))
zli = lambda: [0] + list(map(int, input().split()))


def find_factors(n):
    factors = []
    if n == 1:
        factors.append(1)
    for i in range(1, math.ceil(math.sqrt(n)) + 1):
        if n % i == 0:
            if i * i == n:
                factors.append(i)
            else:

                factors.append(i)
                factors.append(n // i)
    s = set(factors)
    factors = list(s)

    return (factors)





import bisect


def standard_binary_search(array, searchVal):
    return bisect.bisect_left(array, searchVal + 1) - 1







caca=0
tata=False
def solve():
    a=input()
    n=len(a)
    s=0
    twos=0
    threes=0
    lst=[2,4,6,8,1,3,5,7,0]
    for i in range(n):
        s+=int(a[i])
        if a[i]=='2':
            twos+=1

        if a[i]=='3':
            threes+=1


    if s%9==0:
        print('yes')
        return
    num=s%9
    i1=lst.index(num)
    for i in range(min(2,threes)):
        jj=(lst[i1]+6)%9
        
        i1=max(i1,lst.index(jj))
        if i1==8:
            print('yes')
            return
    for i in range(min(10,twos)):
        i1=lst.index((lst[i1]+2)%9)
        if i1==8:
            print('yes')
            return
    print('no')














l = ii()

for i in range(l):




    solve()