It's Halloween Night again! Michael, as old as he is, is still in love with Halloween. This time around, he's gone trick-or-treating at Dan's house. Dan's always been generous with candies. He's prepared a big bowl filled with n candy bars. The i-th candy bar has k[i] ingredients, which are written on its wrapper. Michael is greedy and wants to take as many candy bars as possible. However, he's allergic to m ingredients c[0], c[1], ..., c[m-1]. If a candy bar has any of these m ingredients in it, Michael can't eat it so he won't take it. Given a description of the candy bars and the ingredients that Michael is allergic to, output the number of candy bars he will take.
It's Halloween Night again! Michael, as old as he is, is still in love with
Halloween. This time around, he's gone trick-or-treating at Dan's house.
Dan's always been generous with candies. He's prepared a big bowl filled with n
candy bars. The i-th candy bar has k[i] ingredients, which are written on its
wrapper.
Michael is greedy and wants to take as many candy bars as possible.
However, he's allergic to m ingredients c[0], c[1], ..., c[m-1]. If a candy bar has
any of these m ingredients in it, Michael can't eat it so he won't take it.
Given a description of the candy bars and the ingredients that Michael is allergic
to, output the number of candy bars he will take.
## Input:
- The input consists of n+2 lines.
- The first line of input contains a single integer n.
- The next n lines contain the ingredients of the candy bars. Each line describes a
single candy bar as a list of space-separated ingredients that comprise the candy
bar.
- Finally, the last line contains a space-separated list of the ingredients Michael
is allergic to (i.e. the information from the list c of length m).
## Output:
Print a single integer, the number of candy bars Michael takes.
## Constraints:
- 1 <= n, m, k[i] <= 100
- Every ingredient is a non-empty string of lowercase english letters of length at
most 7.
- No candy bar has the same ingredient listed twice.
- No ingredient appears twice in the list of ingredients Michael is allergic to.
## Time Limit:
Your program has to finish running within 4 seconds on any valid input.
## Sample Input 1
```
3
sugar cocoa salt
salt celery poison bleach
almonds
celery carrots
```
## Sample Output 1
```
2
```
## Sample 1 Explanation
- There are three candy bars. They have 3, 4, and 1 ingredients each respectively.
- Michael is allergic to celery and carrots. This means that he won't take the
second candy bar as it contains celery.
- The other 2 candy bars are fine for him, so he'll take them.
## Sample Input 2
```
5
a b c
b d f
g d e f
c
a b c
b c
```
## Sample Output 2
```
1
```
"""
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