Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.

But I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than *n*. Can you help me to find the maximum possible least common multiple of these three integers?
The first line contains an integer *n* (1 ≤ *n* ≤ 10<sup class="upper-index">6</sup>) — the *n* mentioned in the statement.

n = int(input())
a0, b0 = map(int, input().split())
list_data = [tuple(map(int, input().split())) for _ in range(n)]

def cmp(x):
    return x[0]*x[1]

# 使用内置函数sorted代替list.sort()进行排序
sorted_data = sorted(list_data, key=cmp)
S=a0
mins=-1
for i in sorted_data:
    mins = max(mins, S / i[1])
    S*=i[0]
mins=int(mins)
print(mins)
