Problem:
Score : 200 points

Problem Statement

A string S of an odd length is said to be a strong palindrome if and only if all of the following conditions are satisfied:

S is a palindrome.

Let N be the length of S. The string formed by the 1-st through ((N-1)/2)-th characters of S is a palindrome.

The string consisting of the (N+3)/2-st through N-th characters of S is a palindrome.

Determine whether S is a strong palindrome.

Constraints

S consists of lowercase English letters.

The length of S is an odd number between 3 and 99 (inclusive).

Input

Input is given from Standard Input in the following format:

S

Output

If S is a strong palindrome, print Yes;
otherwise, print No.

Sample Input 1

akasaka

Sample Output 1

Yes

S is akasaka.

The string formed by the 1-st through the 3-rd characters is aka.

The string formed by the 5-th through the 7-th characters is aka.
All of these are palindromes, so S is a strong palindrome.

Sample Input 2

level

Sample Output 2

No

Sample Input 3

atcoder

Sample Output 3

No

Solution in Go (1.6) (judge verdict: Accepted)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

var S string

func main() {
	readVariables()
	N := len(S)
	a := isP(S)
	b := isP(S[0 : (N-1)/2])
	c := isP(S[(N+1)/2 : N])
	var ans string
	// fmt.Println(a, b, c)
	if a && b && c {
		ans = "Yes"
	} else {
		ans = "No"
	}
	fmt.Println(ans)
}

func readVariables() {
	S = nextStr()
}

func isP(s string) bool {
	l := len(s)
	// fmt.Println(l)
	for i := 0; i < l; i++ {
		if s[i] != s[l-1-i] {
			return false
		}
	}
	return true
}

/* Template */

var scanner *bufio.Scanner

func init() {
	Max := 1001001
	scanner = bufio.NewScanner(os.Stdin)
	scanner.Buffer(make([]byte, 0, Max), Max)
	scanner.Split(bufio.ScanWords)
}

//nextInt converts next token from stdin and returns integer value.
//nextInt panics when conversion into an integer fails.
func nextInt() int {
	if !scanner.Scan() {
		panic("No more token.")
	}
	num, err := strconv.Atoi(scanner.Text())
	if err != nil {
		panic("nextInt(): cannot convert to int: " + scanner.Text())
	}
	return num
}

func nextStr() string {
	if !scanner.Scan() {
		panic("No more token.")
	}
	return scanner.Text()
}

// MinInt returns minimum argument
func MinInt(x, y int) int {
	if x < y {
		return x
	} else {
		return y
	}
}

//MaxInt returns maximum argument
func MaxInt(x, y int) int {
	if x < y {
		return y
	} else {
		return x
	}
}

//AbsInt returns |x| for x
func AbsInt(x int) int {
	if x < 0 {
		return -x
	}
	return x
}

//ModPow calculates integer power with modulo operation
//if modulo <= 1, it powers w/o module operation
//if base < 0, return value might be negative too.
func ModPow(base, exponent, modulo int) (result int) {
	result = 1
	for exponent > 0 {
		if exponent%2 == 1 {
			result *= base
			if modulo > 1 {
				result %= modulo
			}
		}
		base *= base
		if modulo > 1 {
			base %= modulo
		}
		exponent /= 2
	}
	return
}

//Gcd
func Gcd(vals ...int) (result int) {
	if len(vals) == 0 {
		return
	}
	result = vals[0]
	for i := 1; i < len(vals); i++ {
		result = gcd(result, vals[i])
	}
	return
}

func gcd(x, y int) int {
	x, y = AbsInt(x), AbsInt(y)
	for y > 0 {
		x, y = y, x%y
	}
	return x
}

//Lcm
func Lcm(vals ...int) (result int) {
	if len(vals) == 0 {
		return
	}
	result = vals[0]
	for i := 1; i < len(vals); i++ {
		result = lcm(result, vals[i])
	}
	return
}

func lcm(x, y int) int {
	return x * y / gcd(x, y)
}