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This question can be converted into following question:
For given time during [TS, TE], how many user user active time(Si, Ei) has overlap with the given time during. In another word, count the number of (Si, Ei) that overlapping with [TS, TE].
If (Si, Ei) NOT overlapping with [TS, TE], there are TWO scenarios:
1. (Si, Ei) is ahead of [TS,TE] as a whole. Denote: Ei > TS
2. (Si, Ei) is behind of[TS, TE] as a whole. Denote: TE > Si
If none of above two scenarios exist, we know these two duration overlapping.
Python solution:
- 84xiali December 14, 2017