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Codeforces 514C Watto and Mechanism【字典樹+Dfs】好題!

2019-11-14 11:31:35
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C. Watto and Mechanismtime limit per test3 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard output

Watto, the owner of a spare parts store, has recently got an order for the mechanism that can PRocess strings in a certain way. Initially the memory of the mechanism is filled withn strings. Then the mechanism should be able to process queries of the following type: "Given strings, determine if the memory of the mechanism contains stringt that consists of the same number of characters ass and differs from s in exactly one position".

Watto has already compiled the mechanism, all that's left is to write a program for it and check it on the data consisting ofn initial lines and m queries. He decided to entrust this job to you.

Input

The first line contains two non-negative numbers n andm (0?≤?n?≤?3·105,0?≤?m?≤?3·105) — the number of the initial strings and the number of queries, respectively.

Next follow n non-empty strings that are uploaded to the memory of the mechanism.

Next follow m non-empty strings that are the queries to the mechanism.

The total length of lines in the input doesn't exceed 6·105. Each line consistsonly of letters 'a', 'b', 'c'.

Output

For each query print on a single line "YES" (without the quotes), if the memory of the mechanism contains the required string, otherwise print "NO" (without the quotes).

ExamplesInput
2 3aaaaaacacacaaabaaccacacccaaacOutput
YESNONO

題目大意:

給你N個原串,以及M個查詢串。

每個查詢串詢問的是,原串中是否有一個字符串,通過改變一個字母就能得到這個字符串(要求其他位子的字符都要相等)。

思路:

1、首先字典樹建樹,因為只有3種字母,而且輸入的總長度也并不大,所以256M的內存是肯定夠用的,這里大可不必擔心。

2、建好樹之后窩一開始只會暴力啊。暴力改變每個查詢串每個位子上的字符,然后查詢,顯然時間復雜度達到了O(M*(2len)^2);那么考慮能否通過剪枝來優化。

剪枝優化是的確存在的,然而我們不能很簡單的找到剪枝點。

那么考慮Dfs。

對于不能繼續查詢的部分(p==NULL)進行剪枝。

細節處理有很多。大家注意一點就好。

Ac代碼:

#include<stdio.h>#include<string.h>#include<stdlib.h>using namespace std;#define maxn 3typedef struct tree{    tree *nex[maxn];    int v;    int val;}tree;tree root;void init(){    for(int i=0;i<maxn;i++)    {        root.nex[i]=NULL;    }}void creat(char *str,int va){    int len=strlen(str);    tree *p=&root,*q;    for(int i=0;i<len;i++)    {        int id=str[i]-'a';        if(p->nex[id]==NULL)        {            q=(tree *)malloc(sizeof(root));            for(int j=0;j<3;j++)            {                q->nex[j]=NULL;            }            p->nex[id]=q;        }        p=p->nex[id];        if(i==len-1)        {            p->val=va;        }    }}char a[600600];int find(int i,int flag,tree *p,int lenn){    if(p==NULL)return 0;    int id=a[i]-'a';    tree *pre=p;    p=pre->nex[id];    if(i==lenn-1)    {        if(p!=NULL&&flag==1&&p->val==1)        return 1;        else if(flag==0)        {            p=pre->nex[(id+1)%3];            if(p!=NULL&&p->val==1)return 1;            p=pre->nex[(id+2)%3];            if(p!=NULL&&p->val==1)return 1;        }        return 0;    }    int tmp=0;    if(p!=NULL)if(find(i+1,flag,p,lenn)==1)tmp=1;    if(flag==0)    {        p=pre->nex[(id+1)%3];        if(p!=NULL)if(find(i+1,1,p,lenn)==1)tmp=1;        p=pre->nex[(id+2)%3];        if(p!=NULL)if(find(i+1,1,p,lenn)==1)tmp=1;    }    return tmp;}int n,m;int main(){    while(~scanf("%d%d",&n,&m))    {        init();        for(int i=0;i<n;i++)        {            scanf("%s",a);            creat(a,1);        }        while(m--)        {            int flag=0;            scanf("%s",a);            tree *p=&root;            if(find(0,0,p,strlen(a))==1)printf("YES/n");            else printf("NO/n");        }    }}


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