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#!/usr/bin/env python3
from collections import Counter
for t in range(int(input())):
n, x = int(input()), []
for i in range(n):
b, y = input().split()
if b == '-1':
guesses = set()
for b in range(2, 37):
try:
guess = int(y, b)
except ValueError:
pass
else:
if guess > 10 ** 12: break
guesses.add(guess)
x.extend(guesses)
else:
guess = int(y, int(b))
if guess <= 10 ** 12: x.append(guess)
try:
print(min(k for k, v in Counter(x).items() if v == n))
except ValueError:
print(-1)
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