Isabella's Message
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1377 Accepted Submission(s): 406
Problem Description
Isabella and Steve are very good friends, and they often write letters to each other. They exchange funny experiences, talk about people around, share their feelings and write about almost everything through the letters. When the letters are delivered, they are quite afraid that some other people(maybe their parents) would peek. So they encrypted the letter, and only they know how to decrypt it. This guarantees their privacy.
The encrypted message is an N * N matrix, and each grid contains a character.
Steve uses a special mask to work as a key. The mask is N * N(where N is an even number) matrix with N*N/4 holes of size 1 * 1 on it.
The decrypt process consist of the following steps:
1. Put the mask on the encrypted message matrix
2. Write down the characters you can see through the holes, from top to down, then from left to right.
3. Rotate the mask by 90 degrees clockwise.
4. Go to step 2, unless you have wrote down all the N*N characters in the message matrix.
5. Erase all the redundant white spaces in the message.
For example, you got a message shown in figure 1, and you have a mask looks like figure 2. The decryption process is shown in figure 3, and finally you may get a message "good morning".
You can assume that the mask is always carefully chosen that each character in the encrypted message will appear exactly once during decryption.
However, in the first step of decryption, there are several ways to put the mask on the message matrix, because the mask can be rotated (but not flipped). So you may get different results such as "od morning go" (as showed in figure 4), and you may also get other messages like "orning good m", "ng good morni".
Steve didn't know which direction of the mask should be chosen at the beginning, but after he tried all possibilities, he found that the message "good morning" is the only one he wanted because he couldn't recognize some words in the other messages. So he will always consider the message he can understand the correct one. Whether he can understand a message depends whether he knows all the words in the message. If there are more than one ways to decrypt the message into an understandable one, he will choose the lexicographically smallest one. The way to compare two messages is to compare the words of two messages one by one, and the first pair of different words in the two messages will determine the lexicographic order of them.
Isabella sends letters to Steve almost every day. As decrypting Isabella's message takes a lot of time, and Steve can wait no longer to know the content of the message, he asked you for help. Now you are given the message he received, the mask, and the list of words he already knew, can you write a program to help him decrypt it?
The encrypted message is an N * N matrix, and each grid contains a character.
Steve uses a special mask to work as a key. The mask is N * N(where N is an even number) matrix with N*N/4 holes of size 1 * 1 on it.
The decrypt process consist of the following steps:
1. Put the mask on the encrypted message matrix
2. Write down the characters you can see through the holes, from top to down, then from left to right.
3. Rotate the mask by 90 degrees clockwise.
4. Go to step 2, unless you have wrote down all the N*N characters in the message matrix.
5. Erase all the redundant white spaces in the message.
For example, you got a message shown in figure 1, and you have a mask looks like figure 2. The decryption process is shown in figure 3, and finally you may get a message "good morning".
You can assume that the mask is always carefully chosen that each character in the encrypted message will appear exactly once during decryption.
However, in the first step of decryption, there are several ways to put the mask on the message matrix, because the mask can be rotated (but not flipped). So you may get different results such as "od morning go" (as showed in figure 4), and you may also get other messages like "orning good m", "ng good morni".
Steve didn't know which direction of the mask should be chosen at the beginning, but after he tried all possibilities, he found that the message "good morning" is the only one he wanted because he couldn't recognize some words in the other messages. So he will always consider the message he can understand the correct one. Whether he can understand a message depends whether he knows all the words in the message. If there are more than one ways to decrypt the message into an understandable one, he will choose the lexicographically smallest one. The way to compare two messages is to compare the words of two messages one by one, and the first pair of different words in the two messages will determine the lexicographic order of them.
Isabella sends letters to Steve almost every day. As decrypting Isabella's message takes a lot of time, and Steve can wait no longer to know the content of the message, he asked you for help. Now you are given the message he received, the mask, and the list of words he already knew, can you write a program to help him decrypt it?
Input
The first line contains an integer T(1 <= T <= 100), indicating the number of test cases.
Each test case contains several lines.
The first line contains an even integer N(2 <= N <= 50), indicating the size of the matrix.
The following N lines each contains exactly N characters, reresenting the message matrix. The message only contains lowercase letters and periods('.'), where periods represent the white spaces.
You can assume the matrix contains at least one letter.
The followingN lines each containsN characters, representing the mask matrix. The asterisk('*') represents a hole, and period('.') otherwise. The next line contains an integer M(1 <= M <= 100), the number of words he knew.
Then the following M lines each contains a string represents a word. The words only contain lowercase letters, and its length will not exceed 20.
Each test case contains several lines.
The first line contains an even integer N(2 <= N <= 50), indicating the size of the matrix.
The following N lines each contains exactly N characters, reresenting the message matrix. The message only contains lowercase letters and periods('.'), where periods represent the white spaces.
You can assume the matrix contains at least one letter.
The followingN lines each containsN characters, representing the mask matrix. The asterisk('*') represents a hole, and period('.') otherwise. The next line contains an integer M(1 <= M <= 100), the number of words he knew.
Then the following M lines each contains a string represents a word. The words only contain lowercase letters, and its length will not exceed 20.
Output
For each test case in the input, print one line: "Case #X: Y", where X is the test case number (starting with 1) and Y is Isabella's message.
If Steve cannot understand the message, just print the Y as "FAIL TO DECRYPT".
If Steve cannot understand the message, just print the Y as "FAIL TO DECRYPT".
Sample Input
3
4
o.do
.ng.
grmn
o.i.
.*..
*.*.
....
*...
2
good
morning
4
..lf
eoyv
oeou
vrer
..*.
.*..
....
*.*.
5
i
you
the
love
forever
4
.sle
s.c.
e.fs
..uu
*...
.*..
...*
..*.
1
successful
Sample Output
Case #1: good morning
Case #2: love you forever
Case #3: FAIL TO DECRYPT
Source
题目大意:给一个n*n的矩阵,n为偶数,矩阵由小写字母和'.'组成,'.'表示空格,再给一个n*n矩阵,由'.'和'*'组成,'*'表示洞,'.'表示障碍。
现在将2张卡片重合,将能看到的字符从上往下从左往右依次取出组成一个新单词。卡片可以顺时针旋转90度,再取出能看到的
单词,一共有4个单词,4个单词再依次组成一个句子,因为卡片是连续转动的,所以4个单词首尾相连,任取一个做句子头,所
以句子一共也是4个。再给m个单词,求出字典序最小的句子并要求句子中每个单词都在给定的m个单词中。
坐标转换公式(i,j)——> (j,n-i+1) 坐标变换公式,从1,1开始。
先求出4个字符串连接好形成的字符串,然后改变连接顺序,组成新的4个字符串连接好形成的字符串。然后查找是否全部由单词本中的单词组成。(这段话来自于Hadis_yuki)
解题思路:开始是中间的连续的空格没有处理好,然后还有map没有初始化,结果WA出翔了。终于A了,当时比赛如果我做的话,可能会一WA到底。。需要修炼啊!
题目地址:Isabella's Message
AC代码:
#include<iostream> #include<cstring> #include<string> #include<cmath> #include<map> #include<cstdio> #include<algorithm> using namespace std; char a[55][55]; //开始的地图 char tmp[55][55]; char mes[10005]; //存放连接好以后的字符串,还没有去空格 string res[5]; int visi[55][55]; //表示洞 int vis[55][55]; //visi的temp int n,w; map <string,int> word; //认识的单词 int cmp(string a,string b) { if(a<b) return 1; return 0; } void rotat() //顺时针旋转90度 { int i,j; memset(vis,0,sizeof(vis)); for(i=1;i<=n;i++) for(j=1;j<=n;j++) if(visi[i][j]==1) vis[j][n+1-i]=1; memset(visi,0,sizeof(visi)); for(i=1;i<=n;i++) for(j=1;j<=n;j++) visi[i][j]=vis[i][j]; } void solve() { int t=0; //如果存在一个满足条件则变为1 int i,j,k,l; for(i=0;i<=3;i++) res[i]=""; //每次都要清空 for(l=0;l<4;l++) { int flag=0; k=4; int p=0; while(k--) { for(i=1;i<=n;i++) for(j=1;j<=n;j++) if(visi[i][j]==1) mes[p++]=a[i][j]; rotat(); } mes[p]=' '; //mes是存放连接好以后的字符串,还没有去空格 //cout<<mes<<endl; i=0; while(i<p) //去前面的空格 { if(mes[i]==' ') i++; else break; } j=p-1; //去后面的空格 while(j>=0) { if(mes[j]==' ') j--; else break; } p=j; //cout<<i<<" "<<p<<endl; //cout<<mes<<endl; char tmp1[55]; int tt=0; for(j=i;j<=p;j++) { if(mes[j]==' '&&mes[j+1]==' ') //处理中间的空格 continue; else if(mes[j]==' '||j==p) { if(j==p) tmp1[tt++]=mes[j]; tmp1[tt]=' '; //cout<<tt<<endl; tt=0; //cout<<tmp1<<endl; if(word[tmp1]) { if(res[t]=="") res[t]=res[t]+tmp1; else res[t]=res[t]+" "+tmp1; } else { res[t]=""; flag=1; break; } } else { tmp1[tt++]=mes[j]; } } if(!flag) t++; rotat(); } if(t==0) puts("FAIL TO DECRYPT"); else { sort(res,res+t,cmp); cout<<res[0]<<endl; } } int main() { int tes,i,j; scanf("%d",&tes); for(int te=1;te<=tes;te++) { memset(visi,0,sizeof(visi)); scanf("%d",&n); for(i=1;i<=n;i++) scanf("%s",a[i]+1); //a代表地图 for(i=1;i<=n;i++) for(j=1;j<=n;j++) if(a[i][j]=='.') a[i][j]=' '; for(i=1;i<=n;i++) { scanf("%s",tmp[i]+1); for(j=1;j<=n;j++) if(tmp[i][j]=='*') visi[i][j]=1; //visi代表* } scanf("%d",&w); //认识的单词数 string temp; word.clear(); for(i=0;i<w;i++) { cin>>temp; word[temp]=2; } //temp="}"; //word[temp]=2; printf("Case #%d: ",te); solve(); } /*int i,w; scanf("%d",&w); //认识的单词数 string temp; for(i=0;i<w;i++) { cin>>temp; word[temp]=2; } temp="}"; word[temp]=2; char tm[20]; while(cin>>tm) { if(word[tm]) cout<<"yes"<<endl; else cout<<"no"<<endl; }*/ return 0; } /* 3 4 o.do .ng. grmn o.i. .*.. *.*. .... *... 4 goo morning od go 4 ..lf eoyv oeou vrer ..*. .*.. .... *.*. 5 i you the love forever 4 .sle s.c. e.fs ..uu *... .*.. ...* ..*. 1 successful */