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 Java (OpenJDK 11.0.6) (judge verdict: Accepted)

import java.io.*;
import java.util.*;
import java.lang.*;

public class Main {
	int mod = 1000000007;

	static FastScanner sc = new FastScanner();

	public static void main(String[] args) {
		out = new PrintWriter(new BufferedOutputStream(System.out));
		int k=sc.nextInt();
		int a=sc.nextInt();
		int b=sc.nextInt();
		if(a%k==0||b%k==0) {
			out.println("OK");
		}else if(a/k<b/k) {
			out.println("OK");
		}else {
			out.println("NG");
		}
		out.close();
	}

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

	static int l_min(int[] a) {
		Arrays.sort(a);
		return a[0];
	}

	static int l_max(int[] a) {
		int l = a.length;
		Arrays.sort(a);
		return a[l - 1];
	}

	static int min(int a, int b) {

		return Math.min(a, b);
	}

	static int max(int a, int b) {

		return Math.max(a, b);
	}

	static int gcd(int a, int b) {

		if (a == 0) {
			return b;
		}
		return gcd(b % a, a);

	}

	static int[] fill(int[] a) {
		int n = a.length;
		for (int i = 0; i < n; i++) {
			a[i] = sc.nextInt();
		}
		return a;
	}

	public static PrintWriter out;

}

class UnionFind {
	int parent[];
	int rank[];
	int size[];

	UnionFind(int n) {
		parent = new int[n];
		rank = new int[n];
		size = new int[n];
		for (int i = 0; i < n; i++) {
			parent[i] = i;
			rank[i] = 0;
			size[i] = 1;
		}
	}

	void union(int x, int y) {
		int xRoot = find(x);
		int yRoot = find(y);

		if (xRoot != yRoot) {

			if (rank[xRoot] > rank[yRoot]) {
				parent[yRoot] = xRoot;
				size[xRoot] += size[yRoot];

			} else if (rank[xRoot] < rank[yRoot]) {
				parent[xRoot] = yRoot;
				size[yRoot] += size[xRoot];

			} else {
				parent[yRoot] = xRoot;
				rank[xRoot]++;
				size[xRoot] += size[yRoot];
			}
		}

	}

	int find(int x) {
		if (parent[x] == x) {
			return x;
		} else {
			return find(parent[x]);
		}

	}

	boolean same(int x, int y) {
		return find(x) == find(y);
	}

}

class FastScanner {
	private final InputStream in = System.in;
	private final byte[] buffer = new byte[1024];
	private int ptr = 0;
	private int buflen = 0;

	private boolean hasNextByte() {
		if (ptr < buflen) {
			return true;
		} else {
			ptr = 0;
			try {
				buflen = in.read(buffer);
			} catch (IOException e) {
				e.printStackTrace();
			}
			if (buflen <= 0) {
				return false;
			}
		}
		return true;
	}

	private int readByte() {
		if (hasNextByte())
			return buffer[ptr++];
		else
			return -1;
	}

	private static boolean isPrintableChar(int c) {
		return 33 <= c && c <= 126;
	}

	public boolean hasNext() {
		while (hasNextByte() && !isPrintableChar(buffer[ptr]))
			ptr++;
		return hasNextByte();
	}

	public String next() {
		if (!hasNext())
			throw new NoSuchElementException();
		StringBuilder sb = new StringBuilder();
		int b = readByte();
		while (isPrintableChar(b)) {
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}

	public long nextLong() {
		if (!hasNext())
			throw new NoSuchElementException();
		long n = 0;
		boolean minus = false;
		int b = readByte();
		if (b == '-') {
			minus = true;
			b = readByte();
		}
		if (b < '0' || '9' < b) {
			throw new NumberFormatException();
		}
		while (true) {
			if ('0' <= b && b <= '9') {
				n *= 10;
				n += b - '0';
			} else if (b == -1 || !isPrintableChar(b)) {
				return minus ? -n : n;
			} else {
				throw new NumberFormatException();
			}
			b = readByte();
		}
	}

	public int nextInt() {
		long nl = nextLong();
		if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE)
			throw new NumberFormatException();
		return (int) nl;
	}

	public double nextDouble() {
		return Double.parseDouble(next());
	}
}