POJ 2250 Compromise (DP, Longest Common subsequence)

POJ 2250 Compromise (DP, Longest Common subsequence)

Compromise

Time Limit:1000 MS		Memory Limit:65536 K
Total Submissions:6440		Accepted:2882		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 failed t for Luxembourg ). to enforce that Germany will fulfill the criteria, our government has so far wonderful options (raise taxes, destination 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

The longest common subword sequence at both ends of the text can be obtained through the lcs increment method, and the print path strength is also directly recursive.

#include
 
  #include
  
   using namespace std;const int N = 105, L = 35;char a[N][L], b[N][L];int pre[N][N], d[N][N], n, m, la, lb, flag;void lcs(){    memset (d, 0, sizeof (d)); memset (pre, 0, sizeof (pre));    for (int i = 1; i < la; ++i)        for (int j = 1; j < lb; ++j)            if (!strcmp (a[i], b[j]))            {                d[i][j] = d[i - 1][j - 1] + 1;                pre[i][j] = 1;            }            else if (d[i - 1][j] > d[i][j - 1])            {                d[i][j] = d[i - 1][j];                pre[i][j] = 2;            }            else            {                d[i][j] = d[i][j - 1];                pre[i][j] = 3;            }}void print (int i, int j){    if (pre[i][j] == 1)    {        print (i - 1, j - 1);        if (flag) flag = 0;        else printf (" ");        printf ("%s", a[i]);    }    else if (pre[i][j] == 2)        print (i - 1, j);    else if (pre[i][j] == 3)        print (i, j - 1);}int main(){    while (scanf ("%s", a[1]) != EOF)    {        la = 1; lb = 0; flag = 1;        while (scanf ("%s", a[++la]), a[la][0] != '#');        while (scanf ("%s", b[++lb]), b[lb][0] != '#');        lcs();        print (la - 1, lb - 1);        printf ("\n");    }    return 0;}