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Algorithm

[Codeforces] 959A: Mahmoud and Ehab and the even-odd game

by ์ฃผ๋ฐœ2 2020. 2. 22.
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https://codeforces.com/problemset/problem/959/A

 

Problem - 959A - Codeforces

 

codeforces.com

๋ฌธ์ œ

Mahmoud์™€ Ehab์€ ์ง์ˆ˜ ๊ฒŒ์ž„์ด๋ผ๊ณ  ๋ถˆ๋ฆฌ๋Š” ๊ฒŒ์ž„์„ ํ•œ๋‹ค. Ehab์€ ๊ทธ๊ฐ€ ๊ฐ€์žฅ ์ข‹์•„ํ•˜๋Š” ์ •์ˆ˜ n์„ ์„ ํƒํ•˜๊ณ  ๋‚˜์„œ Mahmoud๋ฅผ ์‹œ์ž‘์œผ๋กœ ๊ต๋Œ€๋กœ ํ•œ๋‹ค. ๊ฐ ์„ ์ˆ˜์˜ ์ฐจ๋ก€์—์„œ ๊ทธ๋Š” ์ •์ˆ˜ a๋ฅผ ์„ ํƒํ•˜๊ณ  n์—์„œ ๋นผ์„œ ๋‹ค์Œ๊ณผ ๊ฐ™์ด ํ•ด์•ผ ํ•œ๋‹ค.

1 ≤ n
๋งˆํ๋ฌด๋“œ์˜ ์ฐจ๋ก€๋ผ๋ฉด a๋Š” ์ง์ˆ˜์—ฌ์•ผ ํ•˜์ง€๋งŒ, Ehab์˜ ์ฐจ๋ก€๋ผ๋ฉด a๋Š” ํ™€์ˆ˜ํ•ด์•ผ ํ•œ๋‹ค.
ํ˜„์žฌ ์„ ์ˆ˜๊ฐ€ ์กฐ๊ฑด์„ ๋งŒ์กฑ์‹œํ‚ค๋Š” ์ˆซ์ž๋ฅผ ์„ ํƒํ•  ์ˆ˜ ์—†๋‹ค๋ฉด, ๊ทธ๋Š” ์ง„๋‹ค. ๊ทธ๋“ค ๋‘˜ ๋‹ค ์ตœ์ ์œผ๋กœ ๊ฒฝ๊ธฐํ•œ๋‹ค๋ฉด ๋‹น์‹ ์€ ์Šน์ž๋ฅผ ๊ฒฐ์ •ํ•  ์ˆ˜ ์žˆ๋Š”๊ฐ€?

์ž…๋ ฅ
์œ ์ผํ•œ ์„ ์€ ์ •์ˆ˜ n(1 ≤ n ≤ 109)์„ ํฌํ•จํ•˜๋ฉฐ, ์ด ์ˆซ์ž๋Š” ๊ฒŒ์ž„ ์‹œ์ž‘ ๋ถ€๋ถ„์— ์žˆ๋‹ค.

์ถœ๋ ฅ

Mahmoud๊ฐ€ ์ด๊ธฐ๋ฉด "Mahmoud"(๋”ฐ์˜ดํ‘œ ์—†์Œ)๋ฅผ ์ถœ๋ ฅํ•˜๊ณ , ๊ทธ๋ ‡์ง€ ์•Š์œผ๋ฉด "Ehab"(๋”ฐ์˜ดํ‘œ ์—†์Œ)์„ ์ถœ๋ ฅํ•œ๋‹ค.

์ฝ”๋“œ

 

Note

์ฒซ ๋ฒˆ์งธ ํ‘œ๋ณธ์—์„œ, Mahmoud๋Š” ์ฒ˜์Œ์— ์ •์ˆ˜๋ฅผ ์„ ํƒํ•  ์ˆ˜ ์—†๋‹ค. ์™œ๋ƒํ•˜๋ฉด 1๋ณด๋‹ค ์ž‘๊ฑฐ๋‚˜ ๊ฐ™์€ ์ •์ˆ˜๊ฐ€ ์—†๊ธฐ ๋•Œ๋ฌธ์— Ehab์ด ์ด๊ธฐ ๋•Œ๋ฌธ์ด๋‹ค.

๋‘ ๋ฒˆ์งธ ํ‘œ๋ณธ์—์„œ Mahmoud๋Š” a = 2๋ฅผ ์„ ํƒํ•˜๊ณ  n์—์„œ ๋นผ์•ผ ํ•œ๋‹ค. Ehab์˜ ์ฐจ๋ก€๊ณ  n = 0์ด๋‹ค. 0๋ณด๋‹ค ์ž‘๊ฑฐ๋‚˜ ๊ฐ™์€ ์–‘์˜ ํ™€์ˆ˜ ์ •์ˆ˜๊ฐ€ ์—†์œผ๋ฏ€๋กœ Mahmoud๊ฐ€ ์Šน๋ฆฌํ•œ๋‹ค.


์ฝ”๋“œ

import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;

public class Main {

	public static void main(String[] args) throws IOException {
		BufferedReader bf = new BufferedReader(new InputStreamReader(System.in));
		BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
		
		int n = Integer.parseInt(bf.readLine());
		if(n%2 == 0)
			bw.write("Mahmoud");
		else
			bw.write("Ehab");
		bw.flush();
		bf.close();
		bw.close();
	}

}
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