CSU 1611: Concatenation(状态压缩DP)

1611: Concatenation

Time Limit: 1 Sec  Memory Limit: 128 MB
Submit: 14  Solved: 4
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Description

Zuosige always has bad luck. Recently, he is in hospital because of pneumonia. While he is taking his injection, he feels extremely bored. However, clever Zuosige comes up with a new game.

Zuosige writes some of his favorite strings on paper. And he wants to find out a string which has all these favorite strings as its substrings. However, as a sick man, he cannot remember a very long string, so he wants you to help him find out the shortest one.

Input

The first line contains one integer T, indicating the number of test cases.
In one test case, there are several lines. 
In the first line, there are two integers n (1<=n<=12), indicating the number of strings he writes.
In the following n lines, each line has a string whose length is no more than 50. The strings only consists of uppercase letters.

Output

For each test case, output an integer indicating the length of the shortest string containing all these strings.

Sample Input

12ABCDBCDABC

Sample Output

7

HINT

Source

#include <iostream>#include <stdio.h>#include <string.h>#include <stack>#include <queue>#include <map>#include <set>#include <vector>#include <math.h>#include <bitset>#include <algorithm>using namespace std;#define ls 2*i#define rs 2*i+1#define up(i,x,y) for(i=x;i<=y;i++)#define down(i,x,y) for(i=x;i>=y;i--)#define mem(a,x) memset(a,x,sizeof(a))#define w(a) while(a)#define LL long longconst double pi = acos(-1.0);#define N 1000005#define mod 19999997#define INF 0x3f3f3f3f#define exp 1e-8 int t,n;char s[15][55],s1[15][55];int dp[1<<13][55],len[15],cnt,flag;int hsh[15][15];int main(){    int i,j,k,x,y;    cin>>t;    w(t--)    {        cin>>n;        up(i,0,n-1)        {            scanf("%s",s[i]);        }        cnt = 0;        up(i,0,n-1)        {            flag = 0;            up(j,0,n-1)            {                if(strstr(s[j],s[i]) && strcmp(s[i],s[j])) flag = 1;            }            if(!flag)                strcpy(s1[cnt++],s[i]);        }        n = 0;        up(i,0,cnt-1)        {            flag = 0;            up(j,0,i-1)            {                if(!strcmp(s1[i],s1[j])) flag = 1;            }            if(!flag)                strcpy(s[n++],s1[i]);        }        up(i,0,n-1)        {            len[i]=strlen(s[i]);        }        mem(hsh,0);        up(i,0,n-1)        {            up(j,0,n-1)            {                hsh[i][j] = len[j];                int pos = -1;                down(k,len[i]-1,1)                {                    flag = 1;                    up(x,k,len[i]-1)                    {                        if(s[i][x]!=s[j][x-k]) flag = 0;                    }                    if(flag) pos = k;                }                if(pos!=-1) hsh[i][j] = len[j]-len[i]+pos;            }        }        mem(dp,INF);        int size = (1<<n)-1,pre=0,now;        up(i,1,size)        {            up(j,0,n-1)            {                if(i&(1<<j))                {                    pre = (i^(1<<j));                    if(pre==0) dp[i][j] = len[j];                    up(k,0,n-1)                    {                        if(j!=k && (i&(1<<k))==0)                        {                            now=(i|(1<<k));                            dp[now][k]=min(dp[now][k],dp[i][j]+hsh[j][k]);                        }                    }                }            }        }        int minn = INF;        up(i,0,n-1)        minn = min(minn,dp[size][i]);        printf("%d\n",minn);    }     return 0;} /**************************************************************    Problem: 1611    User: aking2015    Language: C++    Result: Accepted    Time:20 ms    Memory:3248 kb****************************************************************/