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Problem D
Sóttkví

Languages en is
/problems/sottkvi/file/statement/en/img-0001.jpg
Image from flickr.com

Hannes’s birthday is in $k$ days but unfortunately all his friends had to go into quarantine. Hannes wants to know how many of his friends will make it to the party and looks to you for help.

Given when Hannes’s friends went into quarantine, print how many of his friends will make it to the party.

Note that an individual has to be quarantined for $14$ days before leaving quarantine.

Input

The first line in the input contains three integers $n$ ($1 \leq n \leq 10^3)$, the number of friends Hannes has, $k$ ($1 \leq k \leq 10^3)$, the number of days until Hannes’s birthday and $d$ ($1 \leq d \leq 10^3)$, what day it is today.

Then there are $n$ lines, one for each friend, where the $i$-th line contains one integer $d_ i$ ($1 \leq d_ i \leq d$), the day when the $i$-th friend went into quarantine.

Output

Print how many of Hannes’s friends will make it to the party. If a friend is freed from quarantine on the day of the party, then that friend will make it to the party.

Scoring

Group

Points

Constraints

1

100

No further constraints

Sample Input 1 Sample Output 1
1 1 14
1
1
Sample Input 2 Sample Output 2
1 14 1
1
1
Sample Input 3 Sample Output 3
3 5 12
1
3
5
2