import sys
input = sys.stdin.readline

D=dict()

for i in range(1,100000):
    x=i*i
    s=tuple(sorted(str(x)))

    if s in D:
        pass
    else:
        D[s]=x
    
    

T=int(input())

for tests in range(T):
    X=tuple(sorted(input().strip()))

    ANS=-1

    while True:
        if X in D:
            if ANS==-1:
                ANS=D[X]
            else:
                ANS=min(ANS,D[X])

        if X[0]=="0":
            X=X[1:]
        else:
            break

    print(ANS)