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)

#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <list>
#include <set>
#include <numeric>
#include <map>
#include <math.h>
#include <iomanip>
#include <stack>
#include <queue>
#include <bitset>
#include <math.h>

#define INF 100100100

typedef long long int llint;

using namespace std;

typedef pair<llint, llint>Pii;
typedef pair<double, double>Pdd;

#define pi 3.141592653589793)
#define mod 1000000007

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