Description
As editor of a small-town newspaper, you know that a substantial number of your readers enjoy the daily word games that you publish, but that some are getting tired of the conventional crossword puzzles and word jumbles that you
have been buying for years. You decide to try your hand at devising a new puzzle of your own.
Given a collection of N words, find an arrangement of the words that divides them among N lines, padding them with leading spaces to maximize the number of non-space characters that are the same as the character immediately above them on the preceding line.
Your score for this game is that number.
Input
Input data will consist of one or more test sets.
The first line of each set will be an integer N (1 <= N <= 10) giving the number of words in the test case. The following N lines will contain the words, one word per line. Each word will be made up of the characters 'a' to 'z' and will be between 1 and 10
characters long (inclusive).
End of input will be indicated by a non-positive value for N .
Output
Your program should output a single line containing the maximum possible score for this test case, printed with no leading or trailing spaces.
Sample Input
5 abc bcd cde aaa bfcde 0
Sample Output
8
Hint
Note: One possible arrangement yielding this score is:
aaa abc bcd cde bfcde
Source
Mid-Atlantic 2005
簡單狀態dp
題意就是給10個字串,讓你求一個順序,使得相鄰兩個串(可以錯位)相同位置的字元和最多……我也說不清楚,看Hint就很明顯了。
但是要注意abc和adc算2個重複的字元……在這裡wa了一次。
上代碼吧
#include <stdio.h>#include <string.h>#include <algorithm>using namespace std;char map[105][105];int dp[(1<<11)+2][14];int val[15][15];int Count(char *p,char *q){ int i,j,n,m,cnt,ret,k; ret=0; n=strlen(p); m=strlen(q); for (i=0;i<n;i++) { for (j=0;j<m;j++) { cnt=0; for (k=0;;k++) { if (i+k>=n || j+k>=m) break; if (p[i+k]==q[j+k]) cnt++; } ret=max(ret,cnt); } } return ret;}int main(){ int i,j,p,n,k,ret; while(1) { scanf("%d",&n); if (n==0) break; for (i=0;i<n;i++) { scanf("%s",map[i]); } for (i=0;i<n;i++) { for (j=i+1;j<n;j++) { val[i][j]=val[j][i]=Count(map[i],map[j]); } } memset(dp,-1,sizeof(dp)); for (i=1;i<(1<<n);i++) { for (j=0;j<n;j++) { if (i==(1<<j)) break; } if (j<n) { dp[i][j]=0; } for (j=0;j<n;j++) { if ((i & (1<<j))!=0) continue; p=(i | (1<<j)); for (k=0;k<n;k++) { if ((i & (1<<k))==0) continue; if (dp[i][k]==-1) continue; dp[p][j]=max(dp[p][j],dp[i][k]+val[j][k]); } } } ret=0; for (i=0;i<n;i++) { ret=max(ret,dp[(1<<n)-1][i]); } printf("%d\n",ret); } return 0;}