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Problems

1. Rain Water
   • Covered at 54:35 of C++Now 2019 - Algorithm Inutition
2. Max Consecutive Ones (MCO)
   • 1️⃣ Link to Array Language Solutions
   • Covered at 13:53 of GTC 2021 - Thrust and the C++ Standard Algorithms
   • Covered in ADSP Episode 20: GTC 2021 Preview & Thrust Algorithms
   • Covered in ADSP Episode 25: The Lost Reduction
3. Longest Continuous Increasing Subsequence (LCIS)
   • 7️⃣ Link to Array Language Solutions
4. Maximum Subarray Sum (Kadanes)
5. Sushi for Two (SF2)
6. Maximum Gap
   • 8️⃣ Link to Array Language Solutions
   • Covered in ADSP Episode 115: Max Gap in C++23
7. Maximum Gap Count
   • 9️⃣ Link to Array Language Solutions
   • Covered in ADSP Episode 116: Max Gap Count in C++23
8. Three Consecutive Odds
   • Covered in ADSP Episode 119: Why APL & Haskell are AWESOME with Zach Laine! (Part 3)
   • Tweet by Tristan Brindle covering various solutions
9. Skyline
   • Talked about in Why Would a Non-Programmer Learn APL? // Richard Savenije // APL Seeds '23
   • Coverd at 12:12 of KX Con 2023 - Algorithms in q
   • Covered in Episode 135: 🇸🇮 Slovenia 🇸🇮 2023 Road Trip!
10. Ocean View

Algorithm & Combinators Required

	Problem	Algorithms Required	Combinators Required
1	Rain Water	reduce, map2, scan	phi, under
2	MCO	1) reduce, scan 2) reduce, map, chunkBy	1) phi1 2) -
3	LCIS	1) reduce, scan, mapAdjacent 2) reduce, map, chunkBy	1) phi1 2) -
4	Kadanes	reduce, scan	phi1
5	SF2	reduce, mapAdjacent, map, chunkBy reduce, mapAdjacent, indices	-
6	Max Gap	sort, mapAdjacent, reduce	-
7	Max Gap Count	1) sort, mapAdjacent, (RP* or map2, repeat) + reduce 2) sort, mapAdjacent, reduce 3) sort, foldl	1) sigma or s 2) - 3) -
8	TCO	1) slide, reduce 2) reduce, scan 3) reduce, map, chunkBy	1) - 2) phi1 3) -
9	Skyline	1) scan, unique	-
10	OceanView	1) reverse, scan, unique_mask, indices 2) reverse, scan, progressive_index_count, map, indices 3) revere, scan, map, indices	under 3) phi or s or sigma

* - Rank Polymorphism

Solutions

Language	1	2	3	4	5	6	7	8	9	10
Kap	✔️	⭐✔️	✔️	⭐✔️	✔️	⭐✔️	⭐ ✔️	⭐✔️	⭐✔️	⭐✔️
BQN	⭐✔️	✔️	✔️	⭐✔️	✔️	✔️	✔️	✔️	✔️	⭐✔️
Uiua	✔️	⭐✔️	✔️	⭐✔️	✔️	✔️	✔️	✔️	⭐✔️	✔️
Haskell	✔️	✔️	⭐✔️	✔️	⭐✔️	✔️	✔️	✔️	✔️	✔️
APL	✔️	✔️	✔️	🚫	✔️	✔️	✔️	✔️	✔️	✔️
J	✔️	✔️	✔️	✔️	✔️	✔️	✔️	✔️
Clojure	✔️	✔️		✔️	✔️	✔️	✔️	✔️
C++	✔️	✔️			✔️	✔️	✔️
Smalltalk		✔️
D					✔️