POJ 3566



Building for UN

Time Limit: 5000MS Memory Limit: 65536KTotal Submissions: 1367 Accepted: 599 Special Judge

Description

The United Nations has decided to build a new headquarters in Saint Petersburg, Russia. It will have a form of a rectangular parallelepiped and will consist of several rectangular floors, one on top of another. Each floor is a rectangular grid of the same dimensions, each cell of this grid is an office.

Two offices are considered adjacent if they are located on the same floor and share a common wall, or if one’s floor is the other’s ceiling.

The St. Petersburg building will host n national missions. Each country gets several offices that form a connected set.

Moreover, modern political situation shows that countries might want to form secret coalitions. For that to be possible, each pair of countries must have at least one pair of adjacent offices, so that they can raise the wall or the ceiling they share to perform secret pair-wise negotiations just in case they need to.

You are hired to design an appropriate building for the UN.

Input

The input file consists of a single integer number n (1 ≤ n ≤ 50) — the number of countries that are hosted in the building.

Output

On the first line of the output file write three integer numbers h, w, and l — height, width and length of the building respectively.

h descriptions of floors should follow. Each floor description consists ofl lines with w characters on each line. Separate descriptions of adjacent floors with an empty line.

Use capital and small Latin letters to denote offices of different countries. There should be at most1 000 000 offices in the building. Each office should be occupied by a country. There should be exactlyn different countries in the building. In this problem the required building design always exists.

Sample Input

4

Sample Output

2 2 2ABCCzzzz

Source

Northeastern Europe 2007

题意：安排楼层（矩形格子）使各个国家啊都相邻，输出一种情况。

思路：每一层w=2，第一行是不同的n个国家，第二行都是某一个国家，这样保证了每个国家都与别的国家相邻。假设题目的4，结果就为

4 4 2

ABCD

AAAA

ABCD

BBBB

ABCD

CCCC

ABCD

DDDD

AC代码：

import java.util.*;public class Main {public static void main(String[] args) {Scanner scan=new Scanner (System.in);char a[]=new char[60];int i,j;for(i=0;i<26;i++) a[i]=(char) ('A'+i);for(j=0;j<26;j++,i++) a[i]=(char) ('a'+j);while(scan.hasNext()){int n=scan.nextInt();System.out.println(n+" "+n+" "+2);for(i=0;i<n;i++){for(j=0;j<n;j++){System.out.print(a[j]);}System.out.println();for(j=0;j<n;j++){System.out.print(a[i]);}System.out.println();if(i!=n-1) System.out.println();}}}}