You are given two arrays of strings that represent two inclusive events that happened on the same day, event1 and event2, where:

• event1 = [startTime1, endTime1] and
• event2 = [startTime2, endTime2].

Event times are valid 24 hours format in the form of HH:MM.

A conflict happens when two events have some non-empty intersection (i.e., some moment is common to both events).

Return true if there is a conflict between two events. Otherwise, return false.

 

Example 1:

Input: event1 = ["01:15","02:00"], event2 = ["02:00","03:00"]
Output: true
Explanation: The two events intersect at time 2:00.

Example 2:

Input: event1 = ["01:00","02:00"], event2 = ["01:20","03:00"]
Output: true
Explanation: The two events intersect starting from 01:20 to 02:00.

Example 3:

Input: event1 = ["10:00","11:00"], event2 = ["14:00","15:00"]
Output: false
Explanation: The two events do not intersect.

 

Constraints:

• event1.length == event2.length == 2
• event1[i].length == event2[i].length == 5
• startTime1 <= endTime1
• startTime2 <= endTime2
• All the event times follow the HH:MM format.