Jamie loves sleeping. One day, he decides that he needs to wake up at exactly hh: mm. However, he hates waking up, so he wants to make waking up less painful by setting the alarm at a lucky time. He will then press the snooze button every x minutes until hh: mm is reached, and only then he will wake up. He wants to know what is the smallest number of times he needs to press the snooze button.

A time is considered lucky if it contains a digit '7'. For example, 13: 07 and 17: 27 are lucky, while 00: 48 and 21: 34 are not lucky.

Note that it is not necessary that the time set for the alarm and the wake-up time are on the same day. It is guaranteed that there is a lucky time Jamie can set so that he can wake at hh: mm.

Formally, find the smallest possible non-negative integer y such that the time representation of the time x·y minutes before hh: mm contains the digit '7'.

Jamie uses 24-hours clock, so after 23: 59 comes 00: 00.

Input

The first line contains a single integer x (1 ≤ x ≤ 60).

The second line contains two two-digit integers, hh and mm (00 ≤ hh ≤ 23, 00 ≤ mm ≤ 59).

Output

Print the minimum number of times he needs to press the button.

Examples

Input

3
11 23


Output

2


Input

5
01 07


Output

0

Note

In the first sample, Jamie needs to wake up at 11:23. So, he can set his alarm at 11:17. He would press the snooze button when the alarm rings at 11:17 and at 11:20.

In the second sample, Jamie can set his alarm at exactly at 01:07 which is lucky.
const
    happyNumber = 7,
    triggerTime = readline(),
    wakeUpTime = readline().split(' '),
    wakeUpHH = wakeUpTime[0],
    wakeUpMM = wakeUpTime[1];
    
var alarmClick = 0,
    alarmHH = wakeUpHH,
    alarmMM = wakeUpMM;

while(true) {
    if (alarmClick) {
      alarmMM -=triggerTime
    }
    if (alarmMM < 0) {
        var diff = -alarmMM;
        alarmMM = 60 - diff;
        alarmHH -= 1;
    }
    if (alarmHH < 0) {
        alarmHH = 23;
    }  
if (~alarmMM.toString().indexOf(happyNumber) 
    || ~alarmHH.toString().indexOf(happyNumber)) {
    print(alarmClick);
    break;
}
    alarmClick++;
}