papplesort Batch , stdin/stdout

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papplesort

Problem Statement

You are given a string S consisting of lowercase English letters. Determine whether we can turn S into a palindrome by repeating the operation of swapping two adjacent characters. If it is possible, find the minimum required number of operations.

Constraints

1 ≤ |S| ≤ 2 × 10⁵
S consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:

Output

If we cannot turn S into a palindrome, print -1. Otherwise, print the minimum required number of operations.

Sample Input 1

eel

Sample Output 1

We can turn S into a palindrome by the following operation:

Swap the 2-nd and 3-rd characters. S is now ele.

Sample Input 2

ataatmma

Sample Output 2

We can turn S into a palindrome by the following operation:

Swap the 5-th and 6-th characters. S is now ataamtma.
Swap the 4-th and 5-th characters. S is now atamatma.
Swap the 3-rd and 4-th characters. S is now atmaatma.
Swap the 2-nd and 3-rd characters. S is now amtaatma.

Sample Input 3

snuke

Sample Output 3

-1

We cannot turn S into a palindrome.

Subtasks and Limits

Subtask	Score	#TC	Time	Memory	Scoring
1	100	50	2s	256MB	Minimum
2	0	3	2s	256MB	Minimum

Judge Compile Command

g++-8 ans.cpp -o papplesort -Wall -Wshadow -static -O2 -lm -m64 -s -w -std=gnu++17 -fmax-errors=512