結果

問題 No.1059 素敵な集合
ユーザー sansaquasansaqua
提出日時 2020-05-22 22:35:45
言語 Common Lisp
(sbcl 2.3.8)
結果
AC  
実行時間 66 ms / 2,000 ms
コード長 5,550 bytes
コンパイル時間 1,106 ms
コンパイル使用メモリ 44,040 KB
実行使用メモリ 33,556 KB
最終ジャッジ日時 2024-07-23 09:31:47
合計ジャッジ時間 2,308 ms
ジャッジサーバーID
(参考情報)
judge3 / judge1
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 11 ms
29,004 KB
testcase_01 AC 66 ms
31,664 KB
testcase_02 AC 15 ms
29,500 KB
testcase_03 AC 10 ms
26,920 KB
testcase_04 AC 10 ms
29,008 KB
testcase_05 AC 11 ms
29,008 KB
testcase_06 AC 15 ms
31,544 KB
testcase_07 AC 14 ms
29,388 KB
testcase_08 AC 16 ms
29,500 KB
testcase_09 AC 11 ms
28,960 KB
testcase_10 AC 19 ms
29,496 KB
testcase_11 AC 14 ms
27,308 KB
testcase_12 AC 12 ms
27,308 KB
testcase_13 AC 19 ms
31,672 KB
testcase_14 AC 10 ms
26,920 KB
testcase_15 AC 29 ms
31,664 KB
testcase_16 AC 14 ms
29,628 KB
testcase_17 AC 15 ms
33,556 KB
testcase_18 AC 12 ms
29,504 KB
testcase_19 AC 62 ms
29,628 KB
testcase_20 AC 61 ms
29,628 KB
testcase_21 AC 27 ms
31,668 KB
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コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 23 JUL 2024 09:31:44 AM):

; wrote /home/judge/data/code/Main.fasl
; compilation finished in 0:00:00.068

ソースコード

diff #

(eval-when (:compile-toplevel :load-toplevel :execute)
  (sb-int:defconstant-eqx opt
    #+swank '(optimize (speed 3) (safety 2))
    #-swank '(optimize (speed 3) (safety 0) (debug 0))
    #'equal)
  #+swank (ql:quickload '(:cl-debug-print :fiveam) :silent t)
  #-swank (set-dispatch-macro-character
           #\# #\> (lambda (s c p) (declare (ignore c p)) `(values ,(read s nil nil t)))))
#+swank (cl-syntax:use-syntax cl-debug-print:debug-print-syntax)
#-swank (disable-debugger) ; for CS Academy

;; BEGIN_INSERTED_CONTENTS
;;;
;;; Disjoint set by Union-Find algorithm
;;;

(defstruct (disjoint-set
            (:constructor make-disjoint-set
                (size &aux (data (make-array size :element-type 'fixnum :initial-element -1))))
            (:conc-name ds-))
  (data nil :type (simple-array fixnum (*))))

(declaim (inline ds-root))
(defun ds-root (disjoint-set x)
  "Returns the root of X."
  (declare ((mod #.array-total-size-limit) x))
  (let ((data (ds-data disjoint-set)))
    (labels ((recur (x)
               (if (< (aref data x) 0)
                   x
                   (setf (aref data x)
                         (recur (aref data x))))))
      (recur x))))

(declaim (inline ds-unite!))
(defun ds-unite! (disjoint-set x1 x2)
  "Destructively unites X1 and X2 and returns true iff X1 and X2 become
connected for the first time."
  (let ((root1 (ds-root disjoint-set x1))
        (root2 (ds-root disjoint-set x2)))
    (unless (= root1 root2)
      (let ((data (ds-data disjoint-set)))
        ;; ensure the size of root1 >= the size of root2
        (when (> (aref data root1) (aref data root2))
          (rotatef root1 root2))
        (incf (aref data root1) (aref data root2))
        (setf (aref data root2) root1)))))

(declaim (inline ds-connected-p))
(defun ds-connected-p (disjoint-set x1 x2)
  "Returns true iff X1 and X2 have the same root."
  (= (ds-root disjoint-set x1) (ds-root disjoint-set x2)))

(declaim (inline ds-size))
(defun ds-size (disjoint-set x)
  "Returns the size of the connected component to which X belongs."
  (- (aref (ds-data disjoint-set)
           (ds-root disjoint-set x))))

(in-package :cl-user)

(defmacro dbg (&rest forms)
  #+swank
  (if (= (length forms) 1)
      `(format *error-output* "~A => ~A~%" ',(car forms) ,(car forms))
      `(format *error-output* "~A => ~A~%" ',forms `(,,@forms)))
  #-swank (declare (ignore forms)))

(defmacro define-int-types (&rest bits)
  `(progn
     ,@(mapcar (lambda (b) `(deftype ,(intern (format nil "UINT~A" b)) () '(unsigned-byte ,b))) bits)
     ,@(mapcar (lambda (b) `(deftype ,(intern (format nil "INT~A" b)) () '(signed-byte ,b))) bits)))
(define-int-types 2 4 7 8 15 16 31 32 62 63 64)

(declaim (inline println))
(defun println (obj &optional (stream *standard-output*))
  (let ((*read-default-float-format* 'double-float))
    (prog1 (princ obj stream) (terpri stream))))

(defconstant +mod+ 1000000007)

;;;
;;; Body
;;;

(defun main ()
  (let* ((l (read))
         (r (read))
         (dset (make-disjoint-set (+ 1 (- r l))))
         (res (+ 1 (- r l))))
    (dotimes (delta (+ 1 (- r l)))
      (let ((factor (+ delta l)))
        (loop for multiple from (* 2 factor) to r by factor
              when (ds-unite! dset (- factor l) (- multiple l))
              do (decf res))))
    ;; #>vec
    (println (- res 1))))

#-swank (main)

;;;
;;; Test and benchmark
;;;

#+swank
(defun io-equal (in-string out-string &key (function #'main) (test #'equal))
  "Passes IN-STRING to *STANDARD-INPUT*, executes FUNCTION, and returns true if
the string output to *STANDARD-OUTPUT* is equal to OUT-STRING."
  (labels ((ensure-last-lf (s)
             (if (eql (uiop:last-char s) #\Linefeed)
                 s
                 (uiop:strcat s uiop:+lf+))))
    (funcall test
             (ensure-last-lf out-string)
             (with-output-to-string (out)
               (let ((*standard-output* out))
                 (with-input-from-string (*standard-input* (ensure-last-lf in-string))
                   (funcall function)))))))

#+swank
(defun get-clipbrd ()
  (with-output-to-string (out)
    (run-program "powershell.exe" '("-Command" "Get-Clipboard") :output out :search t)))

#+swank (defparameter *this-pathname* (uiop:current-lisp-file-pathname))
#+swank (defparameter *dat-pathname* (uiop:merge-pathnames* "test.dat" *this-pathname*))

#+swank
(defun run (&optional thing (out *standard-output*))
  "THING := null | string | symbol | pathname

null: run #'MAIN using the text on clipboard as input.
string: run #'MAIN using the string as input.
symbol: alias of FIVEAM:RUN!.
pathname: run #'MAIN using the text file as input."
  (let ((*standard-output* out))
    (etypecase thing
      (null
       (with-input-from-string (*standard-input* (delete #\Return (get-clipbrd)))
         (main)))
      (string
       (with-input-from-string (*standard-input* (delete #\Return thing))
         (main)))
      (symbol (5am:run! thing))
      (pathname
       (with-open-file (*standard-input* thing)
         (main))))))

#+swank
(defun gen-dat ()
  (uiop:with-output-file (out *dat-pathname* :if-exists :supersede)
    (format out "")))

#+swank
(defun bench (&optional (out (make-broadcast-stream)))
  (time (run *dat-pathname* out)))

;; To run: (5am:run! :sample)
#+swank
(it.bese.fiveam:test :sample
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "2 5
"
    "2
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "1 200000
"
    "0
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "5000 80000
"
    "16198
")))
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