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 Java7 (OpenJDK 1.7.0) (judge verdict: Wrong Answer)

import java.util.Scanner;

public class Main {

 
        public static void main(String[] args) {
            Scanner scanner = new Scanner(System.in);
            int N = scanner.nextInt();
            long [] A = new long[N];
            for (int i=0; i<N; i++)
                A[i] = scanner.nextLong();
            long [] B = new long[N];
            for (int i=0; i<N; i++)
                B[i] = scanner.nextLong();
            long Pos=0;
            long Neg=0;
            for (int i=0; i<N; i++){
                long s=A[i]-B[i];
                if (s < 0){
                    Neg +=s;
                } else {
                    Pos +=s;
                }
            }
            long Judge = Neg/2 + Pos;
            if (Judge > 0) {
                System.out.println("No");
            } else {
                System.out.println("Yes");
            } 
        }
}