【HDU - 4622】Reincarnation 【字符串HASH+dp 】
2017-10-20 08:20
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Now you are back,and have a task to do:
Given you a string s consist of lower-case English letters only,denote f(s) as the number of distinct sub-string of s.
And you have some query,each time you should calculate f(s[l…r]), s[l…r] means the sub-string of s start from l end at r.
Input
The first line contains integer T(1<=T<=5), denote the number of the test cases.
For each test cases,the first line contains a string s(1 <= length of s <= 2000).
Denote the length of s by n.
The second line contains an integer Q(1 <= Q <= 10000),denote the number of queries.
Then Q lines follows,each lines contains two integer l, r(1 <= l <= r <= n), denote a query.
Output
For each test cases,for each query,print the answer in one line.
Sample Input
2
bbaba
5
3 4
2 2
2 5
2 4
1 4
baaba
5
3 3
3 4
1 4
3 5
5 5
Sample Output
3
1
7
5
8
1
3
8
5
1
Hint
I won’t do anything against hash because I am nice.Of course this problem has a solution that don’t rely on hash.
题意 :给个字符串,q次询问,每次询问区间[l,r]中不相同的子字符串个数。
分析讲解链接
Given you a string s consist of lower-case English letters only,denote f(s) as the number of distinct sub-string of s.
And you have some query,each time you should calculate f(s[l…r]), s[l…r] means the sub-string of s start from l end at r.
Input
The first line contains integer T(1<=T<=5), denote the number of the test cases.
For each test cases,the first line contains a string s(1 <= length of s <= 2000).
Denote the length of s by n.
The second line contains an integer Q(1 <= Q <= 10000),denote the number of queries.
Then Q lines follows,each lines contains two integer l, r(1 <= l <= r <= n), denote a query.
Output
For each test cases,for each query,print the answer in one line.
Sample Input
2
bbaba
5
3 4
2 2
2 5
2 4
1 4
baaba
5
3 3
3 4
1 4
3 5
5 5
Sample Output
3
1
7
5
8
1
3
8
5
1
Hint
I won’t do anything against hash because I am nice.Of course this problem has a solution that don’t rely on hash.
题意 :给个字符串,q次询问,每次询问区间[l,r]中不相同的子字符串个数。
分析讲解链接
#include<bits/stdc++.h> using namespace std; typedef pair<int,int>pii; #define first fi #define second se #define LL long long #define ULL unsigned long long #define fread() freopen("in.txt","r",stdin) #define fwrite() freopen("out.txt","w",stdout) #define CLOSE() ios_base::sync_with_stdio(false) const int MAXN = 2000+11; const int HASH = 10007; const int MAXM = 1e6; const int mod = 1e9+7; const int inf = 0x3f3f3f3f; struct HASHMAP{ int head[HASH],next[MAXN],size; ULL state[MAXN];int f[MAXN]; void init(){ memset(head,-1,sizeof(head)); size=0; } int insert(ULL val,int id){// 返回上一个和当前字符串相同的左边界 int h=val%HASH; for(int i=head[h];i!=-1;i=next[i]){ if(val==state[i]) { int temp=f[i]; f[i]=id; return temp; } } f[size]=id; state[size]=val; next[size]=head[h]; head[h]=size++; return 0; //当没有相同的字符串时候,返回0 } fdab }H; const int SEED = 13331; ULL P[MAXN],S[MAXN]; char str[MAXN]; int ans[MAXN][MAXN]; int main(){ CLOSE(); // fread(); // fwrite(); P[0]=1; for(int i=1;i<MAXN;i++) P[i]=P[i-1]*SEED; int T;scanf("%d",&T); while(T--){ scanf("%s",str); int n=strlen(str); S[0]=0; for(int i=1;i<=n;i++) S[i]=S[i-1]*SEED+str[i-1]; memset(ans,0,sizeof(ans)); for(int L=1;L<=n;L++){ H.init(); for(int i=1;i+L-1<=n;i++){ int l=H.insert(S[i+L-1]-S[i-1]*P[L],i); ans[i][i+L-1]++; //当前区间肯定加1 ans[l][i+L-1]--;//从上一个重复的位置开始到当前的右边界一定重复了,所以要减一。 } } for(int i=n;i>=1;i--) for(int j=i+1;j<=n;j++) ans[i][j]+=ans[i+1][j]+ans[i][j-1]-ans[i+1][j-1];// 当前的值是由后面的值确定的,所以要倒序来dp更新 int m,u,v; scanf("%d",&m); while(m--){ scanf("%d%d",&u,&v); printf("%d\n",ans[u][v]); } } return 0; }
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