Problem:
Score: 100 points

Problem Statement

Takahashi the Jumbo will practice golf.

His objective is to get a carry distance that is a multiple of K, while he can only make a carry distance of between A and B (inclusive).

If he can achieve the objective, print OK; if he cannot, print NG.

Constraints

All values in input are integers.

1 \leq A \leq B \leq 1000

1 \leq K \leq 1000

Input

Input is given from Standard Input in the following format:

K
A B

Output

If he can achieve the objective, print OK; if he cannot, print NG.

Sample Input 1

7
500 600

Sample Output 1

OK

Among the multiples of 7, for example, 567 lies between 500 and 600.

Sample Input 2

4
5 7

Sample Output 2

NG

No multiple of 4 lies between 5 and 7.

Sample Input 3

1
11 11

Sample Output 3

OK

Solution in C++ (GCC 9.2.1) (judge verdict: Wrong Answer)

//
// Created by watemus on 02.05.2020.
//

#ifdef LOCAL
#define _GLIBCXX_DEBUG
#endif
#include <bits/stdc++.h>

using namespace std;

#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define ff first
#define ss second

using ll = long long;
using ld = long double;
#define int ll

constexpr ll INFL = 1'000'000'000'000'000'228;
constexpr int INFI = 1'000'000'228;

#ifdef LOCAL
#else
#endif


void run() {
    int k;
    int a, b;
    cin >> k >> a >> b;
    int c = 0;
    for (int i = 0; i < 10000; i++) {
        c += k;
        if (c >= a && c <= b) {
            puts("YES");
            return;
        }
    }
    puts("NO");
}

signed main() {
#ifdef LOCAL
    std::freopen("input.txt", "r", stdin);
#else
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
#endif
    int t = 1;
//    cin >> t;
    while (t--) {
        run();
    }
    return 0;
}