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- ετυμολογία
overlapping period - translation to γερμανικά
![Kuratsukuri-no-Tori]], son of a Korean immigrant.](https://commons.wikimedia.org/wiki/Special:FilePath/Asuka dera daibutsu.jpg?width=200 "Kuratsukuri-no-Tori]], son of a Korean immigrant.")
![gilded]] bronze with silver, Asuka period, 7th century, former [[Horyu-ji]] Temple treasures, [[Tokyo National Museum]]](https://commons.wikimedia.org/wiki/Special:FilePath/Dragon head Pitcher former Horyuji.JPG?width=200 "gilded]] bronze with silver, Asuka period, 7th century, former [[Horyu-ji]] Temple treasures, [[Tokyo National Museum]]")
![Shaka]] delivering a sermon, dated 698 AD, [[Hase-dera]] Temple, Sakurai, Nara](https://commons.wikimedia.org/wiki/Special:FilePath/Hokke Sesso Bronze Plaque Hasedera.JPG?width=200 "Shaka]] delivering a sermon, dated 698 AD, [[Hase-dera]] Temple, Sakurai, Nara")
![A stone foundation section of the Mount Shioji [[Ōnojō Castle Ruins]], where construction began in 665](https://commons.wikimedia.org/wiki/Special:FilePath/Oonojou.jpg?width=200 "A stone foundation section of the Mount Shioji [[Ōnojō Castle Ruins]], where construction began in 665")
![A wall mural depicting ladies, from the west wall of the [[Takamatsuzuka Tomb]], late 7th century, Asuka period](https://commons.wikimedia.org/wiki/Special:FilePath/Takamat1.jpg?width=200 "A wall mural depicting ladies, from the west wall of the [[Takamatsuzuka Tomb]], late 7th century, Asuka period")
Ορισμός
Βικιπαίδεια
In computer science, a problem is said to have overlapping subproblems if the problem can be broken down into subproblems which are reused several times or a recursive algorithm for the problem solves the same subproblem over and over rather than always generating new subproblems.
For example, the problem of computing the Fibonacci sequence exhibits overlapping subproblems. The problem of computing the nth Fibonacci number F(n), can be broken down into the subproblems of computing F(n − 1) and F(n − 2), and then adding the two. The subproblem of computing F(n − 1) can itself be broken down into a subproblem that involves computing F(n − 2). Therefore, the computation of F(n − 2) is reused, and the Fibonacci sequence thus exhibits overlapping subproblems.
A naive recursive approach to such a problem generally fails due to an exponential complexity. If the problem also shares an optimal substructure property, dynamic programming is a good way to work it out.
