http://acm.hdu.edu.cn/showproblem.php?pid=2825
阿新 • • 發佈:2017-08-29
ram match acm oss lower not reduce sts rain
For instance, say that you know that the password is 3 characters long, and the magic word set includes ‘she‘ and ‘he‘. Then the possible password is only ‘she‘.
Liyuan wants to know whether the information is enough to reduce the number of possible passwords. To answer this, please help him write a program that determines the number of possible passwords.
Input
There will be several data sets. Each data set will begin with a line with three integers n m k. n is the length of the password (1<=n<=25), m is the number of the words in the magic word set(0<=m<=10), and the number k denotes that the password included at least k words of the magic set. This is followed by m lines, each containing a word of the magic set, each word consists of between 1 and 10 lowercase letters ‘a‘-‘z‘. End of input will be marked by a line with n=0 m=0 k=0, which should not be processed.
Output
For each test case, please output the number of possible passwords MOD 20090717.
地址:http://acm.hdu.edu.cn/showproblem.php?pid=2825
題目:
Wireless Password
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 6862 Accepted Submission(s): 2279
For instance, say that you know that the password is 3 characters long, and the magic word set includes ‘she‘ and ‘he‘. Then the possible password is only ‘she‘.
Liyuan wants to know whether the information is enough to reduce the number of possible passwords. To answer this, please help him write a program that determines the number of possible passwords.
Sample Input 10 2 2 hello world 4 1 1 icpc 10 0 0 0 0 0
Sample Output 2 1 14195065
Source 2009 Multi-University Training Contest 1 - Host by TJU 思路: dp[i][j]表示長度為i的串走到j節點時的答案的數量。
1 #include <queue> 2 #include <cstring> 3 #include <cstdio> 4 using namespace std; 5 6 const int INF=0x3f3f3f3f; 7 struct AC_auto 8 { 9 const static int LetterSize = 26; 10 const static int TrieSize = LetterSize * ( 1e3 + 50); 11 12 int tot,root,fail[TrieSize],end[TrieSize],next[TrieSize][LetterSize]; 13 int dp[30][150][1<<10]; 14 int newnode(void) 15 { 16 memset(next[tot],-1,sizeof(next[tot])); 17 end[tot] = 0; 18 return tot++; 19 } 20 21 void init(void) 22 { 23 tot = 0; 24 root = newnode(); 25 } 26 27 int getidx(char x) 28 { 29 return x-‘a‘; 30 } 31 32 void insert(char *ss,int x) 33 { 34 int len = strlen(ss); 35 int now = root; 36 for(int i = 0; i < len; i++) 37 { 38 int idx = getidx(ss[i]); 39 if(next[now][idx] == -1) 40 next[now][idx] = newnode(); 41 now = next[now][idx]; 42 } 43 end[now]|=x; 44 } 45 46 void build(void) 47 { 48 queue<int>Q; 49 fail[root] = root; 50 for(int i = 0; i < LetterSize; i++) 51 if(next[root][i] == -1) 52 next[root][i] = root; 53 else 54 fail[next[root][i]] = root,Q.push(next[root][i]); 55 while(Q.size()) 56 { 57 int now = Q.front();Q.pop(); 58 for(int i = 0; i < LetterSize; i++) 59 if(next[now][i] == -1) next[now][i] = next[fail[now]][i]; 60 else 61 { 62 fail[next[now][i]] = next[fail[now]][i]; 63 end[next[now][i]]|=end[fail[next[now][i]]]; 64 Q.push(next[now][i]); 65 } 66 } 67 } 68 69 int match(char *ss) 70 { 71 int len,now,res; 72 len = strlen(ss),now = root,res = 0; 73 for(int i = 0; i < len; i++) 74 { 75 int idx = getidx(ss[i]); 76 int tmp = now = next[now][idx]; 77 while(tmp) 78 { 79 res += end[tmp]; 80 end[tmp] = 0;//按題目修改 81 tmp = fail[tmp]; 82 } 83 } 84 return res; 85 } 86 87 int go(int n,int m,int kd) 88 { 89 int ans=0; 90 memset(dp,0,sizeof dp); 91 dp[0][0][0]=1; 92 for(int i=0,mx=1<<m;i<n;i++) 93 for(int j=0;j<tot;j++) 94 for(int k=0;k<mx;k++) 95 for(int p=0;p<LetterSize&&dp[i][j][k];p++) 96 { 97 dp[i+1][next[j][p]][k|end[next[j][p]]]+=dp[i][j][k]; 98 if(dp[i+1][next[j][p]][k|end[next[j][p]]]>=20090717) 99 dp[i+1][next[j][p]][k|end[next[j][p]]]-=20090717; 100 } 101 for(int i=0,mx=1<<m;i<tot;i++) 102 for(int j=0;j<mx;j++) 103 { 104 int cnt=0; 105 for(int k=0;k<m;k++) 106 if(j&(1<<k)) 107 cnt++; 108 if(cnt>=kd) ans+=dp[n][i][j]; 109 if(ans>=20090717) ans-=20090717; 110 } 111 return ans; 112 } 113 void debug() 114 { 115 for(int i = 0;i < tot;i++) 116 { 117 printf("id = %3d,fail = %3d,end = %3d,chi = [",i,fail[i],end[i]); 118 for(int j = 0;j < LetterSize;j++) 119 printf("%3d",next[i][j]); 120 printf("]\n"); 121 } 122 } 123 }; 124 AC_auto ac; 125 char ss[2000]; 126 int main(void) 127 { 128 int n,k,m; 129 while(~scanf("%d%d%d",&n,&m,&k)&&(m||n||k)) 130 { 131 ac.init(); 132 for(int i=0;i<m;i++) 133 scanf("%s",ss),ac.insert(ss,1<<i); 134 ac.build(); 135 printf("%d\n",ac.go(n,m,k)); 136 } 137 return 0; 138 }
http://acm.hdu.edu.cn/showproblem.php?pid=2825