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: Runtime Error)

package main

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

func main() {
	n := readInt64()
	a := readInt64Line()
	b := readInt64Line()

	sumA := sumInt64Array(a)
	sumB := sumInt64Array(b)
	// if sumA > sumB {
	// 	fmt.Println("No")
	// 	os.Exit(0)
	// } else if sumA == sumB {
	// 	fmt.Println("Yes")
	// 	os.Exit(0)
	// }

	cnt := int64(0)
	for i := 0; i < int(n); i++ {
		if a[i] > b[i] {
			cnt += a[i] - b[i]
		} else if a[i] > b[i] {
			cnt += int64((b[i] - a[i]) / 2)
		}
	}

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

	os.Exit(0)
}

func readInt64() int64 {
	var a int64
	fmt.Scan(&a)
	return a
}

func readInt64Line() []int64 {
	var sc = bufio.NewScanner(os.Stdin)
	sc.Scan()
	line := sc.Text()
	vals := strings.Split(line, " ")
	var vec []int64
	for _, v := range vals {
		n, err := strconv.ParseInt(v, 10, 64)
		if err != nil {
			panic(err)
		}
		vec = append(vec, n)
	}
	return vec
}

func sumInt64Array(arr []int64) int64 {
	var sum int64
	for _, val := range arr {
		sum += val
	}
	return sum
}