10785 - The Mad Numerologist

Uvaoj

10785 - The Mad Numerologist

  The Mad Numerologist 

Numerology is a science that is used by many people to find out a mans personality, sole purpose of life, desires to experience etc. Some calculations of numerology are very complex, while others are quite simple. You can sit alone at home and do these easy calculations without taking any ones help. However in this problem you wont be asked to find the value of your name.

To find the value of a name modern numerologists have assigned values to all the letters of English Alphabet. The table on the left shows the numerical values of all letters of English alphabets. Five letters A, E, I, O, U are vowels. Rests of the letters are consonant. In this table all letters in column 1 have value 1, all letters in column 2 have value 2 and so on. So T has value 2, F has value 6, R has value 9, O has value 6 etc. When calculating the value of a particular name the consonants and vowels are calculated separately. The following picture explains this method using the name ``CHRISTOPHER RORY PAGE".

So you can see that to find the consonant value, the values of individual consonants are added and to find the vowel value the values of individual vowels are added. A mad Numerologist suggests people many strange lucky names. He follows the rules stated below while giving lucky names.

• The name has a predefined length N.
• The vowel value and consonant value of the name must be kept minimum.
• To make the pronunciation of the name possible vowels and consonants are placed in alternate positions. Actually vowels are put in odd positions and consonants are put in even positions. The leftmost letter of a name has position 1; the position right to it is position 2 and so on.
• No consonants can be used in a name more than five times and no vowels can be used in a name more than twenty-one times
• Following the rules and limitations above the name must be kept lexicographically smallest. Please note that the numerologists first priority is to keep the vowel and consonant value minimum and then to make the name lexicographically smallest.

Input 

First line of the input file contains an integer N ( 0 < N250) that indicates how many sets of inputs are there. Each of the next N lines contains a single set of input. The description of each set is given below: Each line contains an integer n ( 0 < n < 211) that indicates the predefined length of the name.

Output 

For each set of input produce one line of output. This line contains the serial of output followed by the name that the numerologist would suggest following the rules above. All letters in the output should be uppercase English letters.

Sample Input 

3
1
5
5

Sample Output 

Case 1: A
Case 2: AJAJA
Case 3: AJAJA

---

Miguel Revilla 2004-12-02

題目意思之前我一直沒懂，看了別人的代碼才推出什麼意思...
題目大意：第一個數字N代表測試樣例的個數，接下來的N行每行有一個數字n，表示輸出字母的個數，輸出字母規則如下：
1、奇數位爲元音字母，偶數位爲輔音字母
2、字母選取的時候應選表格對應值小的字母，元音字母每個最多選21次，輔音字母最多每次最多選5次
3、最終輸出字母，元音、輔音字母需按字典序排列輸出。
例如：

Input：

1

43

22個元音字母選取的是AAAAAAAAAAAAAAAAAAAAAU（即21個A，一個U）、21個輔音字母選取的是JJJJJSSSSSBBBBBKKKKKT（即J、S、B、K分別爲5個和1個T），但輸出是需是字典序的，然後元音奇數位、輔音偶數位輸出。

Output：

Case 1: ABABABABABAJAJAJAJAJAKAKAKAKAKASASASASASATU 

#include<stdio.h>
#include<string.h>
#include<algorithm>
#define N 110
using namespace std;
const char x[] = "AUEOI";
const char y[] = "JSBKTCLDMVNWFXGPYHQZR";
int main(){
	int t, n;
	char p[N], q[N];
	scanf("%d", &t);
	for (int cas = 1; cas <= t; cas++){
		scanf("%d",&n);
		int xi=n-n/2,yi=n/2;
		for(int i=0;i<xi;i++)
			p[i]=x[i/21];
		for(int i=0;i<yi;i++)
			q[i]=y[i/5];
		sort(p, p + xi);
		sort(q, q + yi);
		printf("Case %d: ", cas);
		for (int i = 0,j=0,k=0; i < n; i++)
			if(i%2)
				putchar(q[j++]);
			else
				putchar(p[k++]);
		printf("\n");
	}
	return 0;
}