CodeForces 665A Buses Between Cities

A. Buses Between Cities

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Buses 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 ta minutes, and a bus from the city B departs every b minutes and arrives to the city A in a tb 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, ta (1 ≤ a, ta ≤ 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, tb (1 ≤ b, tb ≤ 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 Aand B.

Examples

input

10 30
10 35
05:20

output

5

input

60 120
24 100
13:00

output

9

#include <iostream>
#include <string.h>
#include <stdlib.h>
#include <stdio.h>
#include <algorithm>
#include <math.h>

using namespace std;
struct Node{
   int l,r; 
}a1[10005];
int a,ta;
int b,tb;
int hh,mm;
int time(int hh,int mm){
	return hh*60+mm;
}
int main(){
	scanf("%d%d",&a,&ta);
	scanf("%d%d",&b,&tb);
	scanf("%d:%d",&hh,&mm);
	int start=time(5,0);
	int end=time(23,59);
	int cnt=0;
	while(start<=end)
	{
       a1[cnt].l=start;
	   a1[cnt].r=a1[cnt++].l+tb;
	   start+=b;
	}
	Node b1;b1.l=time(hh,mm);b1.r=b1.l+ta;
	int ans=0;
	for(int i=0;i<cnt;i++)
	{
		if(b1.r>a1[i].l&&b1.l<a1[i].r)
			ans++;
	}
	printf("%d
",ans);
	return 0;

}