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++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
#include <random>
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define rep1(i,n) for (int i = 1; i <= (n); ++i)

using namespace std;
using ll = long long;
using P = pair<ll,ll>;
using ull= unsigned long long;
const ll K_MAX=1e5+5;
const ll Lmax=ll(1e18);
const ll INF=1e15+4;
const int Nmax=2e5+1;
const int Nd=61;
ll dfs[3003][3003][4];
ll  v[3003][3003];


int main(){
  int n; cin>>n;
  vector<ll> a(n),b(n);
  ll sumA=0,sumB=0;
  ll now=0;

  rep(i,n) {
    cin>>a[i];
    sumA+=a[i];
  }
  rep(i,n) {
    cin>>b[i];
    sumB+=b[i];
    now+=(b[i]-a[i])/2;

  }
  ll num=sumB-sumA;

  if(now<=sumB-sumA){
    cout<<"Yes"<<endl;
    return 0;
  }
  cout<<"No"<<endl;
  return 0;


}