The Center City fire department collaborates with the transportation department to maintain mapsof the city which reflects the current status of the city streets.
On any given day, several streets areclosed for repairs or construction. Firefighters need to be able to select routes from the firestations tofires that do not use closed streets.Central City is divided into non-overlapping fire districts, each containing a single firestation. Whena fire is reported, a central dispatcher alerts the firestation of the district where the fire is located andgives a list of possible routes from the firestation to the fire. You must write a program that the centraldispatcher can use to generate routes from the district firestations to the fires.
Input：
The city has a separate map for each fire district. Streetcorners of each map are identified by positiveintegers less than 21, with the firestation always on corner #1. The input file contains several test casesrepresenting different fires in different districts.
• The first line of a test case consists of a single integer which is the number of the streetcornerclosest to the fire.
• The next several lines consist of pairs of positive integers separated by blanks which are theadjacent streetcorners of open streets. (For example, if the pair 4 7 is on a line in the file, thenthe street between streetcorners 4 and 7 is open. There are no other streetcorners between 4 and7 on that section of the street.)
• The final line of each test case consists of a pair of 0’s.
Output：
For each test case, your output must identify the case by number (‘CASE 1:’, ‘CASE 2:’, etc). It mustlist each route on a separate line, with the streetcorners written in the order in which they appear onthe route. And it must give the total number routes from firestation to the fire. Include only routeswhich do not pass through any streetcorner more than once. (For obvious reasons, the firedepartment doesn’t want its trucks driving around in circles.)Output from separate cases must appear on separate lines.
Sample Input：
6
1 2
1 3
3 4
3 5
4 6
5 6
2 3
2 4
0 0
4
2 3
3 4
5 1
1 6
7 8
8 9
2 5
5 7
3 1
1 8
4 6
6 9
0 0
Sample Output：
CASE 1:
1 2 3 4 6
1 2 3 5 6
1 2 4 3 5 6
1 2 4 6
1 3 2 4 61 3 4 61 3 5 6
There are 7 routes from the firestation to streetcorner 6.
CASE 2:
1 3 2 5 7 8 9 6 4
1 3 41 5 2 3 4
1 5 7 8 9 6 4
1 6 4
1 6 9 8 7 5 2 3 4
1 8 7 5 2 3 4
1 8 9 6 4
There are 8 routes from the firestation to streetcorner 4.
老師說我們之前的題目都是水題。。。真正的搜索題要考慮各種各樣子的減枝，然後第一題我就想了好久，最後還是去網上學習了各路大神的寫法才ac的，路還很長啊。
#include <cstdio>
#include <iostream>
#include <map>
#include <cstring>
#include <algorithm>
using namespace std;
int fd[25][25];
int ff[25][25];
int n,m,num,zs[25];
int pd[25];
int ans[25];
//
void print(int x);
void dfs(int x) //遞歸模板
{
if(ans[x-1]==n){print(x);num++;}
else
{
for(int i=1;i<m;i++)
{
//cout<<zs[i]<<endl;
if(pd[zs[i]]==0&&fd[ans[x-1]][zs[i]]==1&&ff[zs[i]][n]) //ff在這裏用於判斷這個點是否可以到終點
{
pd[zs[i]]=1;
ans[x]=zs[i];
dfs(x+1);
pd[zs[i]]=0;
}
}
}
}
int main()
{
int ca=1;
while(scanf("%d",&n)==1)
{
map<int ,int >Q;
map<int,int>p;
m=0,num=0;
//p.clear();
memset(ff,0,sizeof(ff)); //清0；
memset(zs,0,sizeof(zs));
memset(fd,0,sizeof(fd));
memset(pd,0,sizeof(pd));
memset(ans,0,sizeof(ans));
int a,b;
while(scanf("%d%d",&a,&b)==2&&a&&b)
{
fd[a][b]=1; //將相互連接的兩個節點標記
fd[b][a]=1;
ff[a][b]=1; //你們猜我爲什麼要標記兩次
ff[b][a]=1;
if(!Q.count(a)){Q[a]=1;zs[m++]=a;} //用map判斷該數字是否出現過，沒出現過就要存入數組
if(!Q.count(b)){Q[b]=1;zs[m++]=b;}
}
sort(zs,zs+m);
for(int i=0;i<m;i++)
for(int j=0;j<m;j++)
for(int r=0;r<m;r++)
{
if(ff[zs[j]][zs[i]]&&ff[zs[i]][zs[r]]) ff[zs[j]][zs[r]]=1; //用來判斷這個點最終能否到達終點（判斷在上面一行實現）
}
printf("CASE %d:\n",ca++);
ans[0]=1;
dfs(1);
printf("There are %d routes from the firestation to streetcorner %d.\n",num,n);
}
return 0;
}
void print(int x) //輸出函數
{
for(int i=0;i<x-1;i++)
printf("%d ",ans[i]);
printf("%d\n",ans[x-1]);
//cout<<endl;
}
