CF149E.Martian Strings

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题目描述

During the study of the Martians Petya clearly understood that the Martians are absolutely lazy. They like to sleep and don't like to wake up.

Imagine a Martian who has exactly nn eyes located in a row and numbered from the left to the right from 11 to nn . When a Martian sleeps, he puts a patch on each eye (so that the Martian morning doesn't wake him up). The inner side of each patch has an uppercase Latin letter. So, when a Martian wakes up and opens all his eyes he sees a string ss consisting of uppercase Latin letters. The string's length is nn .

"Ding dong!" — the alarm goes off. A Martian has already woken up but he hasn't opened any of his eyes. He feels that today is going to be a hard day, so he wants to open his eyes and see something good. The Martian considers only mm Martian words beautiful. Besides, it is hard for him to open all eyes at once so early in the morning. So he opens two non-overlapping segments of consecutive eyes. More formally, the Martian chooses four numbers aa , bb , cc , dd , ( 1<=a<=b<c<=d<=n ) and opens all eyes with numbers ii such that a<=i<=ba<=i<=b or c<=i<=dc<=i<=d . After the Martian opens the eyes he needs, he reads all the visible characters from the left to the right and thus, he sees some word.

Let's consider all different words the Martian can see in the morning. Your task is to find out how many beautiful words are among them.

输入格式

The first line contains a non-empty string ss consisting of uppercase Latin letters. The strings' length is nn ( 2<=n<=1052<=n<=10^{5} ). The second line contains an integer mm ( 1<=m<=1001<=m<=100 ) — the number of beautiful words. Next mm lines contain the beautiful words pip_{i} , consisting of uppercase Latin letters. Their length is from 11 to 10001000 . All beautiful strings are pairwise different.

输出格式

Print the single integer — the number of different beautiful strings the Martian can see this morning.

输入输出样例

  • 输入#1

    ABCBABA
    2
    BAAB
    ABBA
    

    输出#1

    1
    

说明/提示

Let's consider the sample test. There the Martian can get only the second beautiful string if he opens segments of eyes a=1,b=2a=1,b=2 and c=4,d=5c=4,d=5 or of he opens segments of eyes a=1,b=2a=1,b=2 and c=6,d=7c=6,d=7 .

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