Now you have a string consists of uppercase letters, two integers AA and BB. We call a substring wonderful substring when the times it appears in that string is between AA and BB (A \le times \le BA≤times≤B). Can you calculate the number of wonderful substrings in that string?

Input

Input has multiple test cases.

For each line, there is a string SS, two integers AA and BB.

\sum length(S) \le 2 \times 10^6∑length(S)≤2×106,

1 \le A \le B \le length(S)1≤A≤B≤length(S)

Output

For each test case, print the number of the wonderful substrings in a line.

样例输入复制

AAA 2 3
ABAB 2 2

样例输出复制

2
3

题目来源

ACM-ICPC 2018 焦作赛区网络预赛

题解:SAM模板题

参考代码:

 //H  求子串出现次数在k1=<num<=k2;
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 4e5+;
char ss[];
const int LetterSize = ; int tot, last,ch[MAXN][LetterSize],fa[MAXN],len[MAXN];
int sum[MAXN],tp[MAXN],cnt[MAXN]; void init()
{
last = tot = ;
len[] = ;
memset(ch,,sizeof ch);
memset(fa,,sizeof fa);
memset(cnt,,sizeof cnt);
} void add( int x)
{
int p = last, np = last = ++tot;
len[np] = len[p] + , cnt[last] = ;
while( p && !ch[p][x]) ch[p][x] = np, p = fa[p];
if(p == ) fa[np] = ;
else
{
int q = ch[p][x];
if( len[q] == len[p] + )
fa[np] = q;
else
{
int nq = ++tot;
memcpy( ch[nq], ch[q], sizeof ch[q]);
len[nq] = len[p] + , fa[nq] = fa[q], fa[q] = fa[np] = nq;
while( p && ch[p][x] == q) ch[p][x] = nq, p = fa[p];
}
}
} void toposort()
{
for(int i = ; i <= len[last]; i++) sum[i] = ;
for(int i = ; i <= tot; i++) sum[len[i]]++;
for(int i = ; i <= len[last]; i++) sum[i] += sum[i-];
for(int i = ; i <= tot; i++) tp[sum[len[i]]--] = i;
} int main()
{ int k1,k2;
while(scanf("%s",ss)!=EOF)
{
init();
scanf("%d%d",&k1,&k2);
long long ans=;
for(int i=,len=strlen(ss);i<len;i++) add(ss[i]-'A');
toposort();
for(int i=tot;i;i--)
{
int p=tp[i],fp=fa[p];
cnt[fp]+=cnt[p];
if(cnt[p]>=k1 && cnt[p]<=k2) ans+=len[p]-len[fp];
}
printf("%lld\n",ans);
} return ;
}

  

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