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.
def lcm(a,b,c):
    d=a*b*c
    for i in range(2,d+1):
        while(a%i==0 and b%i==0 and c%i==0):
            a=a//i
            b=b//i
            c=c//i
            d=d//i
        if(a%i==0 and c%i==0):
            a=a//i
            c=c//i
            d=d//i
        if(b%i==0 and a%i==0):
            a=a//i
            b=b//i
            d=d//i
        if(b%i==0 and c%i==0):
            b=b//i
            c=c//i
            d=d//i
    return d;
a=int(input())
x=lcm(a,a-1,a-2)
for i in range(a,2,-1):
    if(lcm(i,i-1,i-2)>x):
        x=lcm(i,i-1,i-2)
print(x)
            
