不敢死队问题

àì夳堔傛蜴生んèń 2022-07-13 15:00 133阅读 0赞

#### Problem Description ####

说到“敢死队”，大家不要以为我来介绍电影了，因为数据结构里真有这么道程序设计题目，原题如下：

有M个敢死队员要炸掉敌人的一个碉堡，谁都不想去，排长决定用轮回数数的办法来决定哪个战士去执行任务。如果前一个战士没完成任务，则要再派一个战士上去。现给每个战士编一个号，大家围坐成一圈，随便从某一个战士开始计数，当数到5时，对应的战士就去执行任务，且此战士不再参加下一轮计数。如果此战士没完成任务，再从下一个战士开始数数，被数到第5时，此战士接着去执行任务。以此类推，直到任务完成为止。

这题本来就叫“敢死队”。“谁都不想去”，就这一句我觉得这个问题也只能叫“不敢死队问题”。今天大家就要完成这道不敢死队问题。我们假设排长是1号，按照上面介绍，从一号开始数，数到5的那名战士去执行任务，那么排长是第几个去执行任务的？

#### Input ####

输入包括多试数据，每行一个整数M（0<=M<=10000)（敢死队人数），若M==0，输入结束，不做处理。

#### Output ####

输出一个整数n，代表排长是第n个去执行任务。

#### Example Input ####

223

#### Example Output ####

132

#### Hint ####

#### Author ####

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  </tr> 
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</table>

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bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</code><code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">p = (</code><code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; color:rgb(0,102,153)!important; font-weight:bold!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">struct</code>&nbsp;<code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">team*)&nbsp;</code><code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; color:rgb(255,20,147)!important; font-weight:bold!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">malloc</code>&nbsp;<code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">(</code><code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; color:rgb(0,102,153)!important; font-weight:bold!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">sizeof</code><code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">(</code><code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; color:rgb(0,102,153)!important; font-weight:bold!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">struct</code>&nbsp;<code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">team));</code></td> 
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 <tbody style="margin:0px!important; padding:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; font-size:1em!important; min-height:inherit!important; background:none!important"> 
  <tr style="margin:0px!important; padding:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; font-size:1em!important; min-height:inherit!important; background:none!important"> 
   <td style="padding:0px!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:top!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:3em!important; line-height:1.1em!important; font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; min-height:inherit!important; color:rgb(175,175,175)!important; background:none!important"> <code style="color:rgb(199,37,78); font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px 0.3em 0px 0px!important; margin:0px!important; border:0px!important; outline:0px!important; text-align:right!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:2.7em!important; line-height:1.1em!important; min-height:inherit!important; display:block!important; background:none!important">24</code></td> 
   <td style="padding:0px 0px 0px 0.5em!important; margin:0px!important; border-width:0px 0px 0px 3px!important; border-left-style:solid!important; border-left-color:rgb(108,226,108)!important; outline:0px!important; float:none!important; vertical-align:top!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; min-height:inherit!important; background:none!important"> <code style="color:rgb(199,37,78); font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</code><code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">p = (</code><code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; color:rgb(0,102,153)!important; font-weight:bold!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">struct</code>&nbsp;<code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">team*)&nbsp;</code><code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; color:rgb(255,20,147)!important; font-weight:bold!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">malloc</code>&nbsp;<code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">(</code><code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; color:rgb(0,102,153)!important; font-weight:bold!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">sizeof</code><code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">(</code><code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; color:rgb(0,102,153)!important; font-weight:bold!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">struct</code>&nbsp;<code style="font-family:Consolas,'Bitstream Vera Sans Mono','Courier New',Courier,monospace!important; font-size:1em!important; padding:0px!important; margin:0px!important; border:0px!important; outline:0px!important; float:none!important; vertical-align:baseline!important; position:static!important; left:auto!important; top:auto!important; right:auto!important; bottom:auto!important; height:auto!important; width:auto!important; line-height:1.1em!important; min-height:inherit!important; background:none!important">team));</code></td> 
  </tr> 
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</table>

注意free（p）要在输出之后

\#include <stdio.h>  
\#include <stdlib.h>  
struct team  
\{  
int num;  
struct team \*next;  
\};  
int main()  
\{  
int i, n, num, count;  
struct team \*head, \*tail, \*p, \*q;  
while(scanf("%d", &n) != EOF)  
\{  
if(n == 0) break;  
count = 0;  
num = 1;  
p = (struct team\*) malloc (sizeof(struct team));  
p -> next = NULL;  
head = p;  
tail = p;  
p -> num = 1;  
for(i = 2; i <= n; i++)  
\{  
p = (struct team\*) malloc (sizeof(struct team));  
p -> num = i;  
tail -> next = p;  
tail = p;  
p -> next = NULL;  
\}  
tail -> next = head;  
q = head;  
while(1)  
\{  
num++;  
p = q -> next;  
if(num % 5 == 0)  
\{  
q -> next = p -> next;  
count++;  
if(p -> num == 1)  
\{  
printf("%d\\n", count);  
break;  
\}  
free(p);  
\}  
else  
q = p;  
\}  
\}  
return 0;  
\}