Deep Work Slot Finder

You are given a workday range [W_start, W_end] and a list of booked meetings [start, end]. You need to find the FIRST available gap in the schedule that is at least K minutes long. If a gap is found, output its start and the time it would end (start + K). If no such gap exists, output 'NONE'. Input Format: - Line 1: W_start W_end (Workday boundaries). - Line 2: N (Number of meetings). - Next N lines: Meeting start and end times. - Last line: K (Minimum required slot duration). Output Format: - Two space-separated integers (start and end) or 'NONE'. Example: Input: 900 1700 2 1000 1100 1300 1400 60 Output: 900 960 (Explanation: The first gap is [900, 1000], which is 100 mins. We need 60, so we start at 900 and end at 960.)