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35 lines
1.1 KiB
Clojure
35 lines
1.1 KiB
Clojure
3 years ago
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(def target-area [[169 -8] [206 -108]])
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;(def target-area [[20 -5] [30 -10]])
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(def initial-pos [0 0])
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(defn beyond-target? [[[tbx tby] [tex tey]] [x y]]
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(or (> x tex) (< y tey)))
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(defn within-target? [[[tbx tby] [tex tey]] [x y]]
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(and (>= x tbx) (<= x tex) (<= y tby) (>= y tey)))
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(defn apply-velocity [[pos vel]]
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[[(+ (first pos) (first vel)) (+ (second pos) (second vel))]
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[(cond-> (first vel) (> (first vel) 0) dec (< (first vel) 0) inc) (dec (second vel))]])
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(defn path-builder [vel] (iterate apply-velocity [initial-pos vel]))
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(defn build-path [target vel]
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(map first
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(take-while (comp not (partial beyond-target? target) first)
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(path-builder vel))))
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(defn path-height [target vel]
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(let [path (build-path target vel)]
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(when (within-target? target (last path))
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(apply max (map second path)))))
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(def tnum-seq (iterate #(do [(+ (first %) (second %)) (inc (second %))]) [0 1]))
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(let [x (second (last (take-while #(< (first %) (first (first target-area))) tnum-seq)))]
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(println
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(apply max
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(filter some?
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(for [y (range -2000 2000)] (path-height target-area [x y]))))))
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