Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

A. Buses Between Cities

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputBuses run between the cities *A* and *B*, the first one is at 05:00 AM and the last one departs not later than at 11:59 PM. A bus from the city *A* departs every *a* minutes and arrives to the city *B* in a *t*_{a} minutes, and a bus from the city *B* departs every *b* minutes and arrives to the city *A* in a *t*_{b} minutes.

The driver Simion wants to make his job diverse, so he counts the buses going towards him. Simion doesn't count the buses he meet at the start and finish.

You know the time when Simion departed from the city *A* to the city *B*. Calculate the number of buses Simion will meet to be sure in his counting.

Input

The first line contains two integers *a*, *t*_{a} (1 ≤ *a*, *t*_{a} ≤ 120) — the frequency of the buses from the city *A* to the city *B* and the travel time. Both values are given in minutes.

The second line contains two integers *b*, *t*_{b} (1 ≤ *b*, *t*_{b} ≤ 120) — the frequency of the buses from the city *B* to the city *A* and the travel time. Both values are given in minutes.

The last line contains the departure time of Simion from the city *A* in the format hh:mm. It is guaranteed that there are a bus from the city *A* at that time. Note that the hours and the minutes are given with exactly two digits.

Output

Print the only integer *z* — the number of buses Simion will meet on the way. Note that you should not count the encounters in cities *A* and *B*.

Examples

Input

10 30

10 35

05:20

Output

5

Input

60 120

24 100

13:00

Output

9

Note

In the first example Simion departs form the city *A* at 05:20 AM and arrives to the city *B* at 05:50 AM. He will meet the first 5 buses from the city *B* that departed in the period [05:00 AM - 05:40 AM]. Also Simion will meet a bus in the city *B* at 05:50 AM, but he will not count it.

Also note that the first encounter will be between 05:26 AM and 05:27 AM (if we suggest that the buses are go with the sustained speed).

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jul/26/2017 07:35:41 (c4).

Desktop version, switch to mobile version.

User lists

Name |
---|