from collections import defaultdict as dd
dic = dd(lambda:-1)
for i in range(1, 10**5):
    val = i*i
    s = str(val)
    cnt = [0 for _ in range(10)]
    for j in range(len(s)):
        cnt[int(s[j])] += 1
    if dic[tuple(cnt)]!=-1:
        continue
    dic[tuple(cnt)] = val

T = int(input())
for _ in range(T):
    s = input()
    cnt = [0 for _ in range(10)]
    for j in range(len(s)):
        cnt[int(s[j])] += 1
    ans = -1
    if dic[tuple(cnt)]!=-1:
        ans = dic[tuple(cnt)]
    for j in range(cnt[0]):
        cnt[0] -= 1
        if dic[tuple(cnt)]!=-1:
            ans = dic[tuple(cnt)]
    print(ans)