输出最长公共子序列模板（Compromise）

古城微笑少年丶 2023-06-01 06:12 1阅读 0赞

*  输出 最长公共子序列 模板 （Compromise）
    
     *  题意
     *  代码

# 输出 最长公共子序列 模板 （Compromise） #

**[poj-2250][]**  
n a few months the European Currency Union will become a reality. However, to join the club, the Maastricht criteria must be fulfilled, and this is not a trivial task for the countries (maybe except for Luxembourg). To enforce that Germany will fulfill the criteria, our government has so many wonderful options (raise taxes, sell stocks, revalue the gold reserves,...) that it is really hard to choose what to do.

Therefore the German government requires a program for the following task:  
Two politicians each enter their proposal of what to do. The computer then outputs the longest common subsequence of words that occurs in both proposals. As you can see, this is a totally fair compromise (after all, a common sequence of words is something what both people have in mind).

Your country needs this program, so your job is to write it for us.  
**Input**  
The input will contain several test cases.  
Each test case consists of two texts. Each text is given as a sequence of lower-case words, separated by whitespace, but with no punctuation. Words will be less than 30 characters long. Both texts will contain less than 100 words and will be terminated by a line containing a single '\#'.  
Input is terminated by end of file.  
**Output**  
For each test case, print the longest common subsequence of words occuring in the two texts. If there is more than one such sequence, any one is acceptable. Separate the words by one blank. After the last word, output a newline character.  
**Sample Input**  
die einkommen der landwirte  
sind fuer die abgeordneten ein buch mit sieben siegeln  
um dem abzuhelfen  
muessen dringend alle subventionsgesetze verbessert werden  
\#  
die steuern auf vermoegen und einkommen  
sollten nach meinung der abgeordneten  
nachdruecklich erhoben werden  
dazu muessen die kontrollbefugnisse der finanzbehoerden  
dringend verbessert werden  
\#  
**Sample Output**  
die einkommen der abgeordneten muessen dringend verbessert werden

## 题意 ##

给出两段话, 单词间以空格分隔, 每一段以\# 结束, 输出两段话的最长公共子序列.  
每个单词不超过30个字母, 每段话不超过100个单词.  
输出最长公共子序列, 如果有长度相同的最长公共子序列, 输出任意一个即可. 注意最后一个单词后面没有空格.

## 代码 ##

#include <algorithm> #include <iostream> #include <cstdio> #include <cstring> #define N 103 using namespace std; char pa[N][32], pb[N][32]; int d[N][N]; int path[N][N]; int lena = 0, lenb = 0; void pri(int i, int j) { if (i == 0 || j == 0) return; if (path[i][j] == 1) { pri(i - 1, j - 1); if (d[i][j] != 1) { printf(" "); } printf("%s", pa[i - 1]); } else if (path[i][j] == 2) pri(i - 1, j); else pri(i, j - 1); } int main() { char tem[32]; while (scanf("%s", tem) != EOF) { memset(d, 0, sizeof(d)); lena=0,lenb=0; strcpy(pa[lena++], tem); while (scanf("%s", tem), tem[0] != '#') { strcpy(pa[lena++], tem); } while (scanf("%s", tem), tem[0] != '#') { strcpy(pb[lenb++], tem); } for (int i = 1; i <= lena; i++) { for (int j = 1; j <= lenb; j++) { if (strcmp(pa[i - 1], pb[j - 1]) == 0) { d[i][j] = d[i - 1][j - 1] + 1; path[i][j] = 1; } else if (d[i - 1][j] > d[i][j - 1]) { d[i][j] = d[i - 1][j]; path[i][j] = 2; } else { d[i][j] = d[i][j - 1]; path[i][j] = 3; } } } pri(lena, lenb); cout << endl; } }

转载于:https://www.cnblogs.com/tttfu/p/11345000.html

[poj-2250]: http://poj.org/problem?id=2250