Problem:
Score : 100 points

Problem Statement

There are a total of A + B cats and dogs.
Among them, A are known to be cats, but the remaining B are not known to be either cats or dogs.

Determine if it is possible that there are exactly X cats among these A + B animals.

Constraints

1 \leq A \leq 100

1 \leq B \leq 100

1 \leq X \leq 200

All values in input are integers.

Input

Input is given from Standard Input in the following format:

A B X

Output

If it is possible that there are exactly X cats, print YES; if it is impossible, print NO.

Sample Input 1

3 5 4

Sample Output 1

YES

If there are one cat and four dogs among the B = 5 animals, there are X = 4 cats in total.

Sample Input 2

2 2 6

Sample Output 2

NO

Even if all of the B = 2 animals are cats, there are less than X = 6 cats in total.

Sample Input 3

5 3 2

Sample Output 3

NO

Even if all of the B = 3 animals are dogs, there are more than X = 2 cats in total.

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

/*
title:

url:
*/

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <functional>
#include <queue>
#include <limits>
#include <string>
#include <utility>
#include <cstring>
#include <map>
#include <cmath>

using namespace std;

#define REP(i, n) for (int i = 0; i < (n); i++)
#define INF 1000000007

typedef pair<int, int> pint;
typedef long long ll;

int main()
{
    int a, b, x;
    cin >> a >> b >> x;
    if (x <= b + a && x >= a)
    {
        cout << "YES" << endl;
        return 0;
    }
    else
    {
        cout << "NO" << endl;
        return 0;
    }
}