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#lang sugar/debug br/quicklang
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(require "../helper.rkt" sugar/cache)
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(provide read-syntax)
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(define (read-syntax path port)
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(strip-context #`(module mod "main.rkt"
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#,@(for/list ([datums (in-port read port)])
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datums))))
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(provide (rename-out [#%mb #%module-begin]))
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(define-macro (#%mb STARS NUMBER ...)
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#'(#%module-begin ((if (eq? 'STARS '★) dist larger-sum) NUMBER) ...))
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(define (ring-side r) (* 2 r))
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(define (ring-last r) (expt (add1 (ring-side r)) 2))
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(define (ring-first r) (if (zero? r) 1 (add1 (ring-last (sub1 r)))))
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(define (ring int)
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(for/first ([i (in-naturals)]
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#:when (<= int (ring-last i)))
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i))
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(define (nth-coordinate n)
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(cond
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[(= n 1) 0]
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[else
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(define ring-idx (ring n))
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(define offset (- n (ring-first ring-idx)))
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(define-values (quadrant pos)
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(quotient/remainder offset (ring-side ring-idx)))
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(* (+ ring-idx (* +i (- pos (sub1 ring-idx)))) (expt +i quadrant))]))
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(define (dist n)
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(define c (nth-coordinate n))
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(+ (abs (real-part c)) (abs (imag-part c))))
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(define vals (make-hash))
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(define (neighbor-sum n)
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(define c (nth-coordinate n))
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(hash-ref! vals c (λ () (if (= c 0)
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1
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(for*/sum ([h (in-list '(-1 0 1))]
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[v (in-list '(-1 0 1))])
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(define neighbor (+ h (* +i v)))
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(hash-ref vals (+ c neighbor) 0))))))
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(define (larger-sum x)
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(for*/first ([n (in-naturals 1)]
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#:when (> (neighbor-sum n) x))
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(neighbor-sum n)))
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