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: Accepted)

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<int>;
using vi2 = vector<vector<int>>;
using vb = vector<bool>;
using vb2 = vector<vector<bool>>;
using vc = vector<char>;
using vc2 = vector<vector<char>>;
using vs = vector<string>;
using si = set<int>;
using vs2 = vector<vector<string>>;
using pii = pair<int, int>;
using mii = map<int, int>;
const int INF = 1e9;
const ll LINF = 1e18;
#define MP(a,b) make_pair((a),(b))
#define MT(...) make_tuple(__VA_ARGS__)
#define sz(x) (int)(x).size()
 
#define FOR(i,a,b) for(int i=(a);i<(b);i++)
#define REP(i,x) for(int i=0;i<(int)(x);i++)
#define REPS(i,x) for(int i=1;i<=(int)(x);i++)
#define RREP(i,x) for(int i=((int)(x)-1);i>=0;i--)
#define RREPS(i,x) for(int i=((int)(x));i>0;i--)
 
#define ALL(x) (x).begin(),(x).end()
#define SORT(v) sort(ALL(v));
#define IN(type,a) type a;cin >> a;
#define VIN(type,a,n) vector<type> a(n);cin >> a;
#define YES(n) cout << ((n) ? "YES" : "NO"  ) << endl;
#define Yes(n) cout << ((n) ? "Yes" : "No"  ) << endl;
#define COUT(x) cout << (x) << endl;
#define DCOUT(x,n) cout << fixed << setprecision(n) << (x) << endl;
#define ENDL cout << endl;
#define DB(s,x) cout << (s) << " : " << x << endl;

#define HOGE COUT("HOGE")

template<typename T>inline istream& operator>>(istream&i,vector<T>&v)
{REP(j,sz(v))i>>v[j];return i;}

template<typename T> bool chmax(T& a, const T& b){if(a<b){a=b;return true;}return false;}
template<typename T> bool chmin(T& a, const T& b){if(a>b){a=b;return true;}return false;}
int main() {
    int k,a,b;
    cin >> k >> a >> b;
    for (int i = a; i <= b; i++) {
        if (i%k==0) {
            COUT("OK");
            return 0;
        }
    }
    COUT("NG");
}