Problem 4

Largest Palindrome Product

A palindromic number reads the same both ways. The largest palindrome made from the product of two $2$ -digit numbers is $9009 = 91 \times 99$ .

Find the largest palindrome made from the product of two $3$ -digit numbers.

回文数是指从前往后读和从后往前读都一样的数。由两个 $2$ 位数相乘得到的回文数中，最大的是 $9009 = 91 \times 99$ 。

求最大的由两个 $3$ 位数相乘得到的回文数。