USACO 4.4 Frame Up (拓扑排序)

最新推荐文章于 2025-09-12 19:52:27 发布

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原文链接：http://www.cnblogs.com/cavehubiao/p/3568146.html

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#游戏 #运维 #c/c++

解决一个编程挑战，根据堆叠的图片帧确定其从底到顶的顺序。使用C++实现拓扑排序算法，解析输入文件并确定每帧的位置关系。

Frame Up
Consider the following five picture frames shown on an 9 x 8 array:

........   ........   ........   ........   .CCC....
EEEEEE..   ........   ........   ..BBBB..   .C.C....
E....E..   DDDDDD..   ........   ..B..B..   .C.C....
E....E..   D....D..   ........   ..B..B..   .CCC....
E....E..   D....D..   ....AAAA   ..B..B..   ........
E....E..   D....D..   ....A..A   ..BBBB..   ........
E....E..   DDDDDD..   ....A..A   ........   ........
E....E..   ........   ....AAAA   ........   ........
EEEEEE..   ........   ........   ........   ........

   1          2           3          4          5
Now place all five picture frames on top of one another starting with 1 at the bottom and ending up with 5 on top. If any part of a frame covers another frame, it hides that part of the frame below. Viewing the stack of five frames we see the following.

           .CCC...
           ECBCBB..
           DCBCDB..
           DCCC.B..
           D.B.ABAA
           D.BBBB.A
           DDDDAD.A
           E...AAAA
           EEEEEE..
Given a picture like this, determine the order of the frames stacked from bottom to top.

Here are the rules for this challenge:

The width of the frame is always exactly 1 character and the sides are never shorter than 3 characters.
It is possible to see at least one part of each of the four sides of a frame. A corner is part of two sides.
The frames will be lettered with capital letters, and no two frames will be assigned the same letter.
PROGRAM NAME: frameup

INPUT FORMAT

Line 1:     Two space-separated integers: the height H (3 <= H <=30) and the width W (3 <= W <= 30).
Line 2..H+1:     H lines, each with a string W characters wide.
SAMPLE INPUT (file frameup.in)

9 8
.CCC....
ECBCBB..
DCBCDB..
DCCC.B..
D.B.ABAA
D.BBBB.A
DDDDAD.A
E...AAAA
EEEEEE..
OUTPUT FORMAT

Print the letters of the frames in the order they were stacked from bottom to top. If there are multiple possibilities for an ordering, list all such possibilities -- in alphabetical order -- on successive lines. There will always be at least one legal ordering.

SAMPLE OUTPUT (file frameup.out)

EDABC

OUTPUT FORMAT

Print the letters of the frames in the order they were stacked from bottom to top. If there are multiple possibilities for an ordering, list all such possibilities -- in alphabetical order -- on successive lines. There will always be at least one legal ordering.

SAMPLE OUTPUT (file frameup.out)

EDABC

不做题完全不知道这些知识点怎么用，看了题解才搞清楚题目是个什么意思，第一次写拓扑排序，感觉写的很烂，幸好题目比较简单

wa2次过了，算是新年开门红咯，马上要去找实习了，研究生生活说来也是搞笑...

今天第一天实训，开始将nginx，感觉好麻烦噢，配个流媒体一直出问题，实训这么紧，unity3d也没时间看啊，好烦

/*

ID: hubiao cave

PROG: frameup

LANG: C++

*/




#include<iostream>
#include<fstream>
#include<string>
#include<set>
#include<cstring>

using namespace std;


struct Letter
{
    int lx,ly;
    int rx,ry;
};

Letter lets[26];
char map[31][31];
bool con[26][26];
int  inweight[26];
bool used[26];
set<string> ss;
string str;
int depth;
void dfs(int);
int main()

{

    ifstream fin("frameup.in");

    ofstream fout("frameup.out");
    int w,h;
    fin>>h>>w;
    for(int i=1;i<=h;i++)
        for(int j=1;j<=w;j++)
    {
        fin>>map[i][j];
        if(map[i][j]!='.')
        {
            int x=map[i][j]-'A';
            if(lets[x].lx==0)
                lets[x].lx=j;
            else
                lets[x].lx=min(lets[x].lx,j);
            lets[x].rx=max(lets[x].rx,j);
            lets[x].ly=max(lets[x].ly,i);
            if(lets[x].ry==0)
                lets[x].ry=i;
            else
                lets[x].ry=min(lets[x].ry,i);
        }
    }

    for(int i=0;i<26;i++)
    {
        if(i==4)
            i=4;
        if(lets[i].lx)
        {
            depth++;
            memset(used,0,sizeof(used));
            for(int m=lets[i].ry;m<=lets[i].ly;m++)
            {
                if(map[m][lets[i].lx]-'A'!=i)
                {
                    con[i][map[m][lets[i].lx]-'A']=true;
                    if(!used[map[m][lets[i].lx]-'A'])
                    {
                      inweight[map[m][lets[i].lx]-'A']++;
                      used[map[m][lets[i].lx]-'A']=true;
                    }
                }
                if(map[m][lets[i].rx]-'A'!=i)
                {
                    con[i][map[m][lets[i].rx]-'A']=true;
                    if(!used[map[m][lets[i].rx]-'A'])
                    {
                      inweight[map[m][lets[i].rx]-'A']++;
                      used[map[m][lets[i].rx]-'A']=true;
                    }
                }
            }
            for(int m=lets[i].lx+1;m<=lets[i].rx-1;m++)
            {
                if(map[lets[i].ry][m]-'A'!=i)
                {
                    con[i][map[lets[i].ry][m]-'A']=true;
                    if(!used[map[lets[i].ry][m]-'A'])
                    {
                    inweight[map[lets[i].ry][m]-'A']++;
                    used[map[lets[i].ry][m]-'A']=true;
                    }
                }
                if(map[lets[i].ly][m]-'A'!=i)
                {
                    con[i][map[lets[i].ly][m]-'A']=true;
                    if(!used[map[lets[i].ly][m]-'A'])
                    {
                    inweight[map[lets[i].ly][m]-'A']++;
                    used[map[lets[i].ly][m]-'A']=true;
                    }
                }
            }
        }
    }
    memset(used,0,sizeof(used));
    dfs(1);
    for(set<string>::iterator it=ss.begin();it!=ss.end();it++)
    {
        fout<<*it<<endl;
    }
    



    return 0;

}
    
void dfs(int s)
{
    
    for(int i=0;i<26;i++)
    {
        if(lets[i].lx&&inweight[i]==0&&!used[i])
        {
            for(int j=0;j<26;j++)
            {
                if(con[i][j])
                    inweight[j]--;
            }
            str+=('A'+i);
            used[i]=true;
            dfs(s+1);
            str.erase(str.length()-1);
            used[i]=false;
            for(int j=0;j<26;j++)
            {
                if(con[i][j])
                    inweight[j]++;
            }
        }
    }
    if(s==depth+1)
    ss.insert(str);
}