【Codeforces 466B】Wonder Room

【链接】 我是链接,点我呀:)
【题意】

让你把长为a,宽为b的房间扩大(长和宽都能扩大)。 使得它的面积达到6*n 问你最小的能满足要求的面积是多少 输出对应的a和b

【题解】

假设a< b 然后我们枚举新的a(较小的哪一个)为newa newa只需要枚举到ceil(sqrt(6*n))就好 因为如果newa>ceil(sqrt(6*n))的话 得到的newb = ceil(sqrt(6*n))/newa newb肯定是小于等于ceil(sqrt(6*n))的 而我们之前newa已经枚举过这种情况了,所以不可能得到更优解。 newb判断一下是不是大于等于b就好 (注意我们在枚举newa的时候,得到的newb ,也会满足newa<=newb) (判断的时候肯定是小的和小的比,大的和大的比,所以一开始的时候,显然小的值放在a,大的值放在b,然后枚举小的值一直增大)

【代码】

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

public class Main {
    
    
    static InputReader in;
    static PrintWriter out;
        
    public static void main(String[] args) throws IOException{
        //InputStream ins = new FileInputStream("E:\\rush.txt");
        InputStream ins = System.in;
        in = new InputReader(ins);
        out = new PrintWriter(System.out);
        //code start from here
        new Task().solve(in, out);
        out.close();
    }
    
    static int N = 50000;
    static class Task{
        
        long n,a,b;
        public void solve(InputReader in,PrintWriter out) {
        	n = in.nextLong();a = in.nextLong();b = in.nextLong();
        	if (a*b>=6*n) {
        		out.println(a*b);
        		out.println(a+" "+b);
        		return;
        	}
        	long temp = (long)Math.sqrt(6*n);
        	if (temp*temp<6*n) temp++;
        	long ans = (long)(1e18)+100;
        	long temp1 = 0,temp2 =0;
        	boolean f = false;
        	if (a>b) {
        		long temp3 = a;a = b;b = temp3;
        		f =true;
        	}
        	
        	for (long newa = a;newa <=temp;newa++) {
        		long newb = (6*n)/newa;
        		if (newa*newb<(6*n)) newb++;
        		
        		if (newb < b) continue;
        		if (newa*newb>=6*n && newa*newb<ans) {
        			ans = Math.min(ans, newa*newb);
        			temp1 = newa;temp2 = newb;
        		}
        	}
        	if (f) {
        		long temp3 = temp1;temp1 = temp2;temp2 = temp3;
        	}
        	out.println(ans);
        	out.println(temp1+" "+temp2);
        }
    }

    

    static class InputReader{
        public BufferedReader br;
        public StringTokenizer tokenizer;
        
        public InputReader(InputStream ins) {
            br = new BufferedReader(new InputStreamReader(ins));
            tokenizer = null;
        }
        
        public String next(){
            while (tokenizer==null || !tokenizer.hasMoreTokens()) {
                try {
                tokenizer = new StringTokenizer(br.readLine());
                }catch(IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }
        
        public int nextInt() {
            return Integer.parseInt(next());
        }
        
        public long nextLong() {
        	return Long.parseLong(next());
        }
    }
}