The French author Georges Perec (1936–1982) once wrote a book, La disparition, without the letter 'e'. He was a member of the Oulipo group. A quote from the book:

Tout avait Pair normal, mais tout s’affirmait faux. Tout avait Fair normal, d’abord, puis surgissait l’inhumain, l’affolant. Il aurait voulu savoir où s’articulait l’association qui l’unissait au roman : stir son tapis, assaillant à tout instant son imagination, l’intuition d’un tabou, la vision d’un mal obscur, d’un quoi vacant, d’un non-dit : la vision, l’avision d’un oubli commandant tout, où s’abolissait la raison : tout avait l’air normal mais…

Perec would probably have scored high (or rather, low) in the following contest. People are asked to write a perhaps even meaningful text on some subject with as few occurrences of a given “word” as possible. Our task is to provide the jury with a program that counts these occurrences, in order to obtain a ranking of the competitors. These competitors often write very long texts with nonsense meaning; a sequence of 500,000 consecutive 'T's is not unusual. And they never use spaces.

So we want to quickly find out how often a word, i.e., a given string, occurs in a text. More formally: given the alphabet {'A', 'B', 'C', …, 'Z'} and two finite strings over that alphabet, a word W and a text T, count the number of occurrences of W in T. All the consecutive characters of W must exactly match consecutive characters of T. Occurrences may overlap.

InputThe first line of the input file contains a single number: the number of test cases to follow. Each test case has the following format:

One line with the word W, a string over {'A', 'B', 'C', …, 'Z'}, with 1 ≤ |W| ≤ 10,000 (here |W| denotes the length of the string W).
One line with the text T, a string over {'A', 'B', 'C', …, 'Z'}, with |W| ≤ |T| ≤ 1,000,000.
OutputFor every test case in the input file, the output should contain a single number, on a single line: the number of occurrences of the word W in the text T.

Sample Input

3
BAPC
BAPC
AZA
AZAZAZA
VERDI
AVERDXIVYERDIAN

Sample Output

1
3
0
#include <stdio.h>
#include <string.h>
#include <algorithm>
using namespace std;
int Next[1100000];
char s1[1100000],s2[1100000];
void getnext(int l)
{
int i=0,j=-1;
Next[0]=-1;
while(i<l)
{
if(j==-1||s1[i]==s1[j])
{
i++,j++;
Next[i]=j;
}
else
j=Next[j];
}
}
int main()
{
int t;
scanf("%d",&t);
while(t--)
{
scanf("%s%s",s1,s2);
int l1=strlen(s1);
int l2=strlen(s2);
if(l1>l2)
{
printf("0\n");
continue;
}
getnext(l1);
int i=0,j=0,ans=0;
while(i<l2)
{
if(j==-1||s1[j]==s2[i])
{
i++,j++;
}
else j=Next[j];
if(j==l1)
{
j=Next[j];
ans++;
}
}
printf("%d\n",ans);
}
}

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