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| 1 | +class Solution: |
| 2 | + def maxFreeTime(self, eventTime: int, startTime: list[int], endTime: list[int]) -> int: |
| 3 | + gaps = [startTime[0]] # 0 - first meeting |
| 4 | + for i in range(1, len(startTime)): |
| 5 | + gaps.append(startTime[i] - endTime[i - 1]) # previous meeting - current meeting |
| 6 | + gaps.append(eventTime - endTime[-1]) # last meeting - end |
| 7 | + |
| 8 | + # compute max suffix array |
| 9 | + max_right_gap = [0] * len(gaps) |
| 10 | + for i in range(len(gaps) - 2, -1, -1): |
| 11 | + max_right_gap[i] = max(max_right_gap[i + 1], gaps[i + 1]) |
| 12 | + |
| 13 | + # compute max prefix |
| 14 | + # compute largest possible gap by removing current meeting (if possible) |
| 15 | + max_free_time, max_left_gap = 0, 0 |
| 16 | + for i in range(1, len(gaps)): |
| 17 | + curr_meeting = endTime[i - 1] - startTime[i - 1] |
| 18 | + if curr_meeting <= max(max_left_gap, max_right_gap[i]): |
| 19 | + max_free_time = max(max_free_time, gaps[i - 1] + gaps[i] + curr_meeting) |
| 20 | + max_free_time = max(max_free_time, gaps[i - 1] + gaps[i]) |
| 21 | + max_left_gap = max(max_left_gap, gaps[i - 1]) |
| 22 | + return max_free_time |
| 23 | + |
| 24 | + |
| 25 | +def main(): |
| 26 | + eventTime = 5 |
| 27 | + startTime = [1, 3] |
| 28 | + endTime = [2, 5] |
| 29 | + assert Solution().maxFreeTime(eventTime, startTime, endTime) == 2 |
| 30 | + |
| 31 | + eventTime = 10 |
| 32 | + startTime = [0, 7, 9] |
| 33 | + endTime = [1, 8, 10] |
| 34 | + assert Solution().maxFreeTime(eventTime, startTime, endTime) == 7 |
| 35 | + |
| 36 | + eventTime = 10 |
| 37 | + startTime = [0, 3, 7, 9] |
| 38 | + endTime = [1, 4, 8, 10] |
| 39 | + assert Solution().maxFreeTime(eventTime, startTime, endTime) == 6 |
| 40 | + |
| 41 | + eventTime = 5 |
| 42 | + startTime = [0, 1, 2, 3, 4] |
| 43 | + endTime = [1, 2, 3, 4, 5] |
| 44 | + assert Solution().maxFreeTime(eventTime, startTime, endTime) == 0 |
| 45 | + |
| 46 | + |
| 47 | +if __name__ == '__main__': |
| 48 | + main() |
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