2016弱校联盟十一专场10.5---As Easy As Possible（倍增）

题目链接

https://acm.bnu.edu.cn/v3/contest_show.php?cid=8506#problem/A

problem description

As we know, the NTU Final PK contest usually tends to be pretty hard. Many teams got frustrated when participating NTU Final PK contest. So I decide to make the first problem as “easy” as possible. But how to know how easy is a problem? To make our life easier, we just consider how easy is a string. Here, we introduce a sane definition of “easiness”. The easiness of a string is the maximum times of “easy” as a subsequence of it. For example, the easiness of “eeaseyaesasyy” is 2. Since “easyeasy” is a subsequence of it, but “easyeasyeasy” is too easy. How to calculate easiness seems to be very easy. So here is a string s consists of only ‘e’, ‘a’, ‘s’, and ‘y’. Please answer m queries. The i-th query is a interval [li , ri ], and please calculate the easiness of s[li ..ri ].

Input

The first line contains a string s. The second line contains an integer m. Each of following m lines contains two integers li , ri . • 1 ≤ |s| ≤ 105 • 1 ≤ m ≤ 105 • 1 ≤ li ≤ ri ≤ |s| • s consists of only ‘e’, ‘a’, ‘s’, and ‘y’

Output

For each query, please output the easiness of that substring in one line.

Examples

standardinput

easy

3

1 4

2 4

1 3

eeaseyaesasyy

4

1 13

2 12

2 10

3 11

standard output

1

0

0

2

2

1

0

题意：给了一个只含有'e' 'a' 's' 'y' 的字符串然后m次询问，每次询问输入l r 求这个区间含有多少个“easy”序列（每个“easy” 字符之间不需要连在一起）；

思路：用倍增的思路来做，每个点只记录最靠近它的在它左边的那个字母的位置，比如'e'记录前面的'y','a'记录前面的'e','s'记录前面的'a'，'y'记录前面的's' 并注意记录距离i最近（左边的y）的y的位置（用p[i]存储） 定义anc[i][j] 表示第i个字符前的第（1<<j）个字符的位置，这个可以用倍增做到 anc[i][j]=anc[anc[i][j-1]][j-1]， 查询时，先找到v=p[r] 然后找左边有效字符个数，最后除以4 就是结果；

代码如下：

#include <iostream>
#include <algorithm>
#include <stdio.h>
#include <cstring>
#include <queue>
using namespace std;
typedef long long LL;
char s[100005];
int a[100005],p[100005];
int anc[100005][21];
int mp[4];

int main()
{
int m;
while(scanf("%s",s+1)!=EOF)
{
int len=strlen(s+1);
for(int i=1;i<=len;i++)
{
if(s[i]=='e') a[i]=0;
else if(s[i]=='a') a[i]=1;
else if(s[i]=='s') a[i]=2;
else a[i]=3;
}
memset(mp,0,sizeof(mp));
for(int i=1;i<=len;i++)
{
int pre=(a[i]-1+4)%4;
anc[i][0]=mp[pre];
mp[a[i]]=i;
p[i]=mp[3];
}
for(int i=1;i<=20;i++)
{
for(int j=1;j<=len;j++)
{
anc[j][i]=anc[anc[j][i-1]][i-1];
}
}
scanf("%d",&m);
while(m--)
{
int l,r;
int sum=1;
scanf("%d%d",&l,&r);
int v=p[r];
for(int i=20;i>=0;i--)
{
if(anc[v][i]>=l){
sum+=(1<<i);
v=anc[v][i];
}
}
printf("%d\n",sum/4);
}
}
return 0;
}