POJ2250 Compromise (LCS)

Compromise

Time Limit: 1000MS Memory Limit: 65536KTotal Submissions: 8369 Accepted: 3600 Special Judge

Description

In 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 landwirtesind fuer die abgeordneten ein buch mit sieben siegelnum dem abzuhelfenmuessen dringend alle subventionsgesetze verbessert werden#die steuern auf vermoegen und einkommensollten nach meinung der abgeordnetennachdruecklich erhoben werdendazu muessen die kontrollbefugnisse der finanzbehoerdendringend verbessert werden#

Sample Output

die einkommen der abgeordneten muessen dringend verbessert werden

Source

Ulm Local 1997

思路：最长公共子序列问题，把题目中的一个字符串比作原先的一个字符即可，

#include <cstdio>#include <cmath>#include <cstring>#include <algorithm>using namespace std;char a[35][105],b[35][105],d[35][105];int dp[105][105],x[105][105],flag,cnt;void PrintLCS(int i, int j){if(!i || !j)return;if(x[i][j] == 0){PrintLCS(i-1,j-1);strcpy(d[cnt ++],a[i-1]);}else if(x[i][j] == -1)PrintLCS(i,j-1);elsePrintLCS(i-1,j);}void LCS(int n, int m){memset(dp,0,sizeof(0));for(int i = 1; i <= n; i ++){for(int j = 1; j <= m; j ++){if(strcmp(a[i-1],b[j-1]) == 0){dp[i][j] = dp[i-1][j-1]+1;x[i][j] = 0;}else if(dp[i-1][j] > dp[i][j-1]){dp[i][j] = dp[i-1][j];x[i][j] = 1;}else{dp[i][j] = dp[i][j-1];x[i][j] = -1;}}}}int main(){int n, m;while(~scanf("%s",a[0])){n = 1;while(strcmp(a[n-1],"#"))scanf("%s",a[n++]);n --;scanf("%s",b[0]);m = 1;while(strcmp(b[m-1],"#"))scanf("%s",b[m++]);m --;cnt = 0;LCS(n,m);PrintLCS(n,m);for(int i = 0; i < cnt; i ++){if(i)printf(" ");printf("%s",d[i]);}printf("\n");}return 0;}