mod = 1000000007
eps = 10**-9


def main():
    import sys
    input = sys.stdin.readline

    # x**k == y % mod
    # O(mod**0.5)
    def DiscreteLog(x, y, mod):
        m = int(mod ** 0.5) + 1
        dic = {1: 0}

        # baby-step
        xi = 1
        for i in range(1, m + 1):
            xi = (xi * x) % mod
            dic[xi] = i
        if y in dic:
            if dic[y] != 0:
                return dic[y]

        # giant-step
        r = pow(xi, mod - 2, mod)
        for a in range(1, m + 1):
            y = (y * r) % mod
            if y in dic:
                return a * m + dic[y]

        return -1

    for _ in range(int(input())):
        N = int(input())
        if N == 1:
            print(1)
            continue
        ans = DiscreteLog(2, 1, 2*N-1)
        print(ans)


if __name__ == '__main__':
    main()