import sys
input = sys.stdin.readline

T=int(input())

for tests in range(T):
    N=int(input())

    x=N.bit_count()

    for i in range(60):
        y=(1<<i)
        k=N & (y-1)

        plus=y-k

        xx=(N+plus).bit_count()

        #print(N,plus,x,xx)

        if xx<x:
            print(plus)
            break
    else:
        print(-1)