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Mark likes to listen to music while travelling. His iPod™ contains N songs and he wants to listen to L (not necessarily different) songs during a trip. So he creates a playlist such that: • Every song is played at least once. • A song can be played again only if at least K other songs have been played Mark wants to know how many different playlists are possible. Can you help Mark determine this number? As the number can be very large, display number modulo 1,000,000,007. You are given N, K and L.
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Software Engineer

Interviewed at Coursera

3.7
Sep 23, 2016

Mark likes to listen to music while travelling. His iPod™ contains N songs and he wants to listen to L (not necessarily different) songs during a trip. So he creates a playlist such that: • Every song is played at least once. • A song can be played again only if at least K other songs have been played Mark wants to know how many different playlists are possible. Can you help Mark determine this number? As the number can be very large, display number modulo 1,000,000,007. You are given N, K and L.

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