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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections;
using System.Collections.Generic;
using System.Text;
using System.Linq;
using static MyIO;


public class B
{
	public static void Main()
	{
		int N = GetInt();
		long[] a = Enumerable.Range(0, N).Select(_ => GetLong()).ToArray();
		long[] b = Enumerable.Range(0, N).Select(_ => GetLong()).ToArray();

		long k = b.Sum() - a.Sum();

		long l = 0;
		for(int i = 0; i < N; i++)
		{
			if(a[i] > b[i])
			{
				l += a[i] - b[i];
				b[i] = a[i];
			}
		}

		long m = 0;
		for(int i = 0; i < N; i++)
		{
			if(a[i] < b[i])
			{
				long num = (b[i] - a[i]) / 2;
				m += num;
				a[i] += 2 * num;
			}
		}

		if(m < l)
		{
			Console.WriteLine("No");
			return;
		}

		long n = l;
		for(int i = 0; i < N; i++)
			if(a[i] < b[i])
				n += (b[i] - a[i]);

		Console.WriteLine((n <= k) ? "Yes" : "No");		
	}
}


public static class MyIO
{
	private static string[] args = null;
	private static int num = -1;
	private static int used = -1;

	private static string getArg()
	{
		if(used == num)
		{
			args = Console.ReadLine().Split(' ');
			num = args.Length;
			used = 0;
		}
		return args[used++];
	}

	public static int GetInt(){ return int.Parse(getArg()); }
	public static long GetLong(){ return long.Parse(getArg()); }
	public static double GetDouble(){ return double.Parse(getArg()); }
	public static string GetString(){ return getArg(); }
}