【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aceil(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
【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());
}
}
}