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顯示具有 Reverse and Add 標籤的文章。 顯示所有文章

2015年7月27日 星期一

[C][瘋狂程設][CPE考題20140325] 14A3.UVA10018:Reverse and Add

Reverse and Add

The "reverse and add" method is simple: choose a number, reverse its digits and add it to the original. If the sum is not a palindrome (which means, it is not the same number from left to right and right to left), repeat this procedure. 
For example: 
195 Initial number 
591 
----- 
786 
687 
----- 
1473 
3741 
----- 
5214 
4125 
----- 
9339 Resulting palindrome 

In this particular case the palindrome 9339 appeared after the 4th addition. This method leads to palindromes in a few step for almost all of the integers. But there are interesting exceptions. 196 is the first number for which no palindrome has been found. It is not proven though, that there is no such a palindrome. 

Task : 
You must write a program that give the resulting palindrome and the number of iterations (additions) to compute the palindrome. 

You might assume that all tests data on this problem: 
- will have an answer , 
- will be computable with less than 1000 iterations (additions), 
- will yield a palindrome that is not greater than 4,294,967,295. 

Input

The first line will have a number N with the number of test cases, the next N lines will have a number P to compute its palindrome.
3
195
265
750

Output

For each of the N tests you will have to write a line with the following data : minimum number of iterations (additions) to get to the palindrome and the resulting palindrome itself separated by one space.
4 9339 
5 45254 
3 6666 

Notes:


1.反轉輸入的數字

void reverse_data(int *num,int size,char rev_data[]){

 int m=*num;
 char data[size];
 
 /*------reverse------*/
 sprintf(data,"%d",m);
 strcpy(rev_data,data);
 strrev(rev_data);
 //printf("[%d]%d,%s,%s\n",__LINE__,size,data,rev_data);
}

Code:


#include <stdio.h>
#include <stdlib.h>
#include <string.h>

void reverse_data(int *num,int size,char rev_data[]){

 int m=*num;
 char data[size];
 
 /*------reverse------*/
 sprintf(data,"%d",m);
 strcpy(rev_data,data);
 strrev(rev_data);
 //printf("[%d]%d,%s,%s\n",__LINE__,size,data,rev_data);
}

int rev_and_add(int *num){

 int m=*num;
 int palindrome;
 int length=sizeof(m);
 char rev_num[length];
 
 /*------reverse------*/
 reverse_data(&m,length,rev_num);
 
 /*------add------*/
 m+=atoi(rev_num);
 length=sizeof(m);
 reverse_data(&m,length,rev_num);
 
 /*-----test palindrome, 0 means yes, 1 means no.-----*/
 char sum[length];
 sprintf(sum,"%d",m);
 //printf("[%d]%s,%s\n",__LINE__,sum,rev_num);
 
 (strcmp(sum,rev_num)==0)?palindrome=0:palindrome=1;
 //printf("[%d],p=%d\n",__LINE__,palindrome);
 *num=m;
 return palindrome;
 
 //return 0;
}

int main(void){

 int total,count,i=0,input,act;
 
 scanf("%d",&total);
 
 while(i<total){
  count=0;
  i++;
  scanf("%d",&input);
  
  do{
   //printf("[%d]count=%d\n",__LINE__,count);
   act=rev_and_add(&input);
   count++;
  }while(act==1);
   
  printf("%d %d\n",count,input);
 }

 return 0;
}