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

function Main(input) {
    input = input.split("\n");
    N = parseInt(input[0]);
    Xn = input[1].split(" ");
    Xn = Xn.map(e => parseInt(e));
    for(var i=0; i < N; i++ ){
        Xn_tmp = (Xn.slice(0, i+1)).concat(Xn.slice(i+1, N));
        Xn_tmp.splice(i, 1);
        // sort Xn
        Xn_tmp.sort(function(a,b){
            if(a < b) return -1;
            if(b < a) return 1;
            return 0;
        });
        console.log(Xn_tmp[N/2 - 1]);
    }
}

Main(require("fs").readFileSync("/dev/stdin", "utf8"));