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Given a string s, find the longest palindromic substring in s. You can assume that the maximum length of s is 1000.

Example 1:

Enter: "babad"

Output: "bab"

Note: "aba" is also a valid answer.

Example 2:

Enter: "cbbd"

Output: "bb"

Ideas for solving the problem:

If s [I + 1:j-1] is a palindromic substring, extend one letter to both sides at the same time. If the letters are the same, yes, otherwise no, the subproblem is split.

If s [I] = = s [j] & & s [I + 1:j-1] = true

S [i j] = true

Else

S [i j] = fale

Record s [ipurj] = true or false with a [I] [j]

Boundary conditions:

1, a single letter is

A [I] [I] = true

2, two identical letters are, otherwise they are not

A [I] [iTun1] = a [I] = a [I + 1]

Cycle condition

I

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