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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
#define rep(i, n) for(int i=0; i<(n); ++i)
#define rep2(i, s, n) for(int i=s; i<(n); ++i)
#define ALL(v) (v).begin(), (v).end()

using namespace std;

typedef long long ll;

static const int INTINF = (2147483647 >> 1); // 10^9 + 5000
static const ll LLINF = (9223372036854775807 >> 1);
static const int MAX = 1e5+1;
static const ll MOD = 1e9+7;

namespace Printer{
    template<class T>
    void print(T x){
        cout << x << endl;
    }

    template<class T>
    void print(T x, T y){
        cout << x << "," << y << endl;
    }

    template<class T>
    void print(vector<T> v){
        rep(i, v.size()){
            if(i) cout << " ";
            cout<< v[i];
        }
        cout << endl;
    }

    template<class T>
    void print(vector<vector<T> > vv){
        rep(i, vv.size()){
            rep(j, vv[i].size()){
                if(j) cout << " ";
                cout << vv[i][j];
            }
            cout << endl;
        }
    }

    void print(pair<int, int> p){
        cout << "(" << p.first << ", " << p.second << ")" << endl;
    }
};
using namespace Printer;

//--global--//



//----------//

int main(int argc, const char * argv[]) {
    //提出時、消す----//
    //--------------//

    ll n; cin >> n;
    vector<ll> a(n), b(n);
    rep(i, n) cin >> a[i];
    rep(i, n) cin >> b[i];
    ll sum = 0LL;
    ll sum2 = 0LL;
    rep(i, n){
        ll tmp = b[i] - a[i];
        if(tmp > 0LL) sum2 -= tmp * 2;
        else sum += tmp;
    }
    if(sum2 <= sum)cout << "Yes" << endl;
    else cout << "No" << endl;
    
    return 0;
}