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 JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

function Main(input) {
  input = input.split("\n");
  var n = parseInt(input[0]);
  a = new Array(n).fill(0);
  b = new Array(n).fill(0);
  tmpa = input[1].split(" ");
  tmpb = input[2].split(" ");
  var suma=0;
  var sumb=0;
  var dif=0;
  var difp=0;
  var difm=0;

  for(i=0;i<n;i++){
    a[i]=parseInt(tmpa[i]);
    suma += a[i];
    b[i]=parseInt(tmpb[i]);
    sumb += b[i];
    dif+=Math.abs(a[i]-b[i]);
    difp+=Math.max(0,b[i]-a[i]);
    difm+=Math.max(0,a[i]-b[i]);
  }
  var ans ="No";
  if(suma<=sumb&&sumb-suma==difp-difm&&difp<=(sumb-suma)*2&&difm<=(sumb-suma)){
    ans="Yes";
  }
  console.log('%s', ans);
}
Main(require("fs").readFileSync("/dev/stdin", "utf8"));