【杭电】4278八进制转化为十进制

本文介绍了一种特殊算法,用于解决具有缺陷的汽车里程表显示问题。该里程表从2跳到4,从7跳到9,忽略数字3和8。文章通过示例解释了如何将这种非标准计数方式转换为实际行驶里程,并提供了实现这一转换的C++代码。

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Faulty Odometer

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 2023    Accepted Submission(s): 1400


Problem Description
  You are given a car odometer which displays the miles traveled as an integer. The odometer has a defect, however: it proceeds from the digit 2 to the digit 4 and from the digit 7 to the digit 9, always skipping over the digit 3 and 8. This defect shows up in all positions (the one's, the ten's, the hundred's, etc.). For example, if the odometer displays 15229 and the car travels one mile, odometer reading changes to 15240 (instead of 15230).
 

Input
  Each line of input contains a positive integer in the range 1..999999999 which represents an odometer reading. (Leading zeros will not appear in the input.) The end of input is indicated by a line containing a single 0. You may assume that no odometer reading will contain the digit 3 and 8.
 

Output
  Each line of input will produce exactly one line of output, which will contain: the odometer reading from the input, a colon, one blank space, and the actual number of miles traveled by the car.
 

Sample Input
  
15 2005 250 1500 999999 0
 

Sample Output
  
15: 12 2005: 1028 250: 160 1500: 768 999999: 262143
 

Source
 

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#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
int main()
{
	char s[100];
	int num[100];
	while(~scanf("%s",s)&&s[0]!='0'){
		int l=strlen(s);
		for(int i=0;i<l;i++){
			num[i]=s[i]-'0';
			if(num[i]>3&&num[i]<8) num[i]-=1;//因为没有3
			else if(num[i]>8) num[i]=num[i]-2; 
		}
		int sum=0;
		for(int i=0;i<l;i++)
		 sum=sum*8+num[i];
		 printf("%s: %d\n",s,sum);
		
	}
	return 0;
}

 
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