Problem:
Score : 300 points

Problem Statement

You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N.
Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.

Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:

Add 2 to a_i.

Add 1 to b_j.

Constraints

1 ≤ N ≤ 10 000

0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)

All input values are integers.

Input

Input is given from Standard Input in the following format:

N
a_1 a_2 .. a_N
b_1 b_2 .. b_N

Output

If we can repeat the operation zero or more times so that the sequences a and b become equal, print Yes; otherwise, print No.

Sample Input 1

3
1 2 3
5 2 2

Sample Output 1

Yes

For example, we can perform three operations as follows to do our job:

First operation: i=1 and j=2. Now we have a = \{3,2,3\}, b = \{5,3,2\}.

Second operation: i=1 and j=2. Now we have a = \{5,2,3\}, b = \{5,4,2\}.

Third operation: i=2 and j=3. Now we have a = \{5,4,3\}, b = \{5,4,3\}.

Sample Input 2

5
3 1 4 1 5
2 7 1 8 2

Sample Output 2

No

Sample Input 3

5
2 7 1 8 2
3 1 4 1 5

Sample Output 3

No

Solution in Go (1.6) (judge verdict: Wrong Answer)

package main

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

var scanner = bufio.NewScanner(os.Stdin)

func isOdd(n int) bool {
	return n%2 != 0
}

func main() {
	scanner.Split(bufio.ScanWords)
	n := nextInt()
	a := make([]int, n)
	b := make([]int, n)

	sumA := 0
	for i := 0; i < n; i++ {
		a[i] = nextInt()
		sumA += a[i]
	}
	sumB := 0
	for i := 0; i < n; i++ {
		b[i] = nextInt()
		sumB += b[i]
	}

	count := 0
	for i := 0; i < n; i++ {
		if a[i] < b[i] {
			d := int(math.Ceil((float64(b[i]) - float64(a[i])) / 2))
			count += d
			a[i] += d * 2
			b[i] += d
		}
		if a[i] > b[i] {
			count += a[i] - b[i]
		}
	}

	fmt.Println(sumB-sumA, count )
	if sumB-sumA >= count {
		fmt.Println("Yes")
	} else {
		fmt.Println("No")
	}
}

func next() string {
	scanner.Scan()
	return scanner.Text()
}

func nextInt() int {
	i, err := strconv.Atoi(next())
	if err != nil {
		fmt.Println(err)
	}
	return i
}