結果
| 問題 |
No.1065 電柱 / Pole (Easy)
|
| コンテスト | |
| ユーザー |
 sansaqua
|
| 提出日時 | 2020-05-29 22:01:30 |
| 言語 | Common Lisp (sbcl 2.5.0) |
| 結果 |
AC
|
| 実行時間 | 226 ms / 2,000 ms |
| コード長 | 12,050 bytes |
| コンパイル時間 | 865 ms |
| コンパイル使用メモリ | 60,512 KB |
| 実行使用メモリ | 69,320 KB |
| 最終ジャッジ日時 | 2024-11-06 04:40:35 |
| 合計ジャッジ時間 | 7,207 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge5 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 46 |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 06 NOV 2024 04:40:27 AM): ; wrote /home/judge/data/code/Main.fasl ; compilation finished in 0:00:00.301
ソースコード
(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
;;;
;;; Binary heap
;;;
(define-condition heap-empty-error (error)
((heap :initarg :heap :reader heap-empty-error-heap))
(:report
(lambda (condition stream)
(format stream "Attempted to pop empty heap ~W" (heap-empty-error-heap condition)))))
(defmacro define-binary-heap (name &key (order '#'>) (element-type 'fixnum))
"Defines a binary heap specialized for the given order and the element
type. This macro defines a structure of the name NAME and relevant functions:
MAKE-<NAME>, <NAME>-PUSH, <NAME>-POP, <NAME>-REINITIALIZE, <NAME>-EMPTY-P,
<NAME>-COUNT, and <NAME>-PEEK."
(check-type name symbol)
(let* ((string-name (string name))
(fname-push (intern (format nil "~A-PUSH" string-name)))
(fname-pop (intern (format nil "~A-POP" string-name)))
(fname-reinitialize (intern (format nil "~A-REINITIALIZE" string-name)))
(fname-empty-p (intern (format nil "~A-EMPTY-P" string-name)))
(fname-count (intern (format nil "~A-COUNT" string-name)))
(fname-peek (intern (format nil "~A-PEEK" string-name)))
(fname-make (intern (format nil "MAKE-~A" string-name)))
(acc-position (intern (format nil "~A-POSITION" string-name)))
(acc-data (intern (format nil "~A-DATA" string-name))))
`(progn
(locally
;; prevent style warnings
(declare #+sbcl (muffle-conditions style-warning))
(defstruct (,name
(:constructor ,fname-make
(size
&aux (data ,(if (eql element-type '*)
`(make-array (1+ size))
`(make-array (1+ size) :element-type ',element-type))))))
(data #() :type (simple-array ,element-type (*)))
(position 1 :type (integer 1 #.most-positive-fixnum))))
(declaim #+sbcl (sb-ext:maybe-inline ,fname-push))
(defun ,fname-push (obj heap)
"Adds OBJ to HEAP."
(declare (optimize (speed 3))
(type ,name heap))
(symbol-macrolet ((position (,acc-position heap)))
(when (>= position (length (,acc-data heap)))
(setf (,acc-data heap)
(adjust-array (,acc-data heap)
(min (- array-total-size-limit 1)
(* position 2)))))
(let ((data (,acc-data heap)))
(declare ((simple-array ,element-type (*)) data))
(labels ((update (pos)
(declare (optimize (speed 3) (safety 0)))
(unless (= pos 1)
(let ((parent-pos (ash pos -1)))
(when (funcall ,order (aref data pos) (aref data parent-pos))
(rotatef (aref data pos) (aref data parent-pos))
(update parent-pos))))))
(setf (aref data position) obj)
(update position)
(incf position)
heap))))
(declaim #+sbcl (sb-ext:maybe-inline ,fname-pop))
(defun ,fname-pop (heap)
"Removes and returns the element at the top of HEAP."
(declare (optimize (speed 3))
(type ,name heap))
(symbol-macrolet ((position (,acc-position heap)))
(let ((data (,acc-data heap)))
(declare ((simple-array ,element-type (*)) data))
(labels ((update (pos)
(declare (optimize (speed 3) (safety 0))
((integer 1 #.most-positive-fixnum) pos))
(let* ((child-pos1 (+ pos pos))
(child-pos2 (1+ child-pos1)))
(when (<= child-pos1 position)
(if (<= child-pos2 position)
(if (funcall ,order (aref data child-pos1) (aref data child-pos2))
(unless (funcall ,order (aref data pos) (aref data child-pos1))
(rotatef (aref data pos) (aref data child-pos1))
(update child-pos1))
(unless (funcall ,order (aref data pos) (aref data child-pos2))
(rotatef (aref data pos) (aref data child-pos2))
(update child-pos2)))
(unless (funcall ,order (aref data pos) (aref data child-pos1))
(rotatef (aref data pos) (aref data child-pos1))))))))
(when (= position 1)
(error 'heap-empty-error :heap heap))
(prog1 (aref data 1)
(decf position)
(setf (aref data 1) (aref data position))
(update 1))))))
(declaim (inline ,fname-reinitialize))
(defun ,fname-reinitialize (heap)
"Makes HEAP empty."
(setf (,acc-position heap) 1)
heap)
(declaim (inline ,fname-empty-p))
(defun ,fname-empty-p (heap)
"Returns true iff HEAP is empty."
(= 1 (,acc-position heap)))
(declaim (inline ,fname-count))
(defun ,fname-count (heap)
"Returns the current number of the elements in HEAP."
(- (,acc-position heap) 1))
(declaim (inline ,fname-peek))
(defun ,fname-peek (heap)
"Returns the topmost element of HEAP."
(if (= 1 (,acc-position heap))
(error 'heap-empty-error :heap heap)
(aref (,acc-data heap) 1))))))
(declaim (ftype (function * (values fixnum &optional)) read-fixnum))
(defun read-fixnum (&optional (in *standard-input*))
"NOTE: cannot read -2^62"
(macrolet ((%read-byte ()
`(the (unsigned-byte 8)
#+swank (char-code (read-char in nil #\Nul))
#-swank (sb-impl::ansi-stream-read-byte in nil #.(char-code #\Nul) nil))))
(let* ((minus nil)
(result (loop (let ((byte (%read-byte)))
(cond ((<= 48 byte 57)
(return (- byte 48)))
((zerop byte) ; #\Nul
(error "Read EOF or #\Nul."))
((= byte #.(char-code #\-))
(setq minus t)))))))
(declare ((integer 0 #.most-positive-fixnum) result))
(loop
(let* ((byte (%read-byte)))
(if (<= 48 byte 57)
(setq result (+ (- byte 48)
(* 10 (the (integer 0 #.(floor most-positive-fixnum 10))
result))))
(return (if minus (- result) result))))))))
(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
;;;
(define-binary-heap heap
:order (lambda (node1 node2)
(< (the fixnum (car node1))
(the fixnum (car node2))))
:element-type list)
(defconstant +inf+ most-positive-double-float)
(defun main ()
(let* ((n (read))
(m (read))
(x (- (read) 1))
(y (- (read) 1))
(ps (make-array n :element-type 'int32 :initial-element 0))
(qs (make-array n :element-type 'int32 :initial-element 0))
(graph (make-array n :element-type 'list :initial-element nil))
(dists (make-array n :element-type 'double-float :initial-element +inf+))
(que (make-heap m)))
(dotimes (i n)
(setf (aref ps i) (read-fixnum)
(aref qs i) (read-fixnum)))
(dotimes (i m)
(let* ((u (- (read-fixnum) 1))
(v (- (read-fixnum) 1))
(dist (sqrt (+ (expt (- (aref ps u) (aref ps v)) 2)
(expt (- (aref qs u) (aref qs v)) 2)))))
(push (cons u dist) (aref graph v))
(push (cons v dist) (aref graph u))))
(heap-push (cons 0d0 x) que)
(setf (aref dists x) 0d0)
(loop until (heap-empty-p que)
for (dist . v) = (heap-pop que)
when (= dist (aref dists v))
do (loop for (next . cost) in (aref graph v)
for next-dist = (+ dist cost)
when (< next-dist (aref dists next))
do (setf (aref dists next) next-dist)
(heap-push (cons next-dist next) que)))
(println (aref dists y))))
#-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 "5 4
2 4
0 0
-1 -1
1 -1
1 1
-1 1
1 2
1 3
1 4
1 5
"
"2.828427
"))
(it.bese.fiveam:is
(common-lisp-user::io-equal "10 23
3 7
93 -63
-100 47
-90 -96
-83 32
-15 6
8 57
92 -68
-34 0
76 51
-29 -70
9 10
6 5
5 4
9 3
4 6
5 9
4 9
4 3
1 7
4 8
8 5
8 10
8 7
6 2
3 8
1 8
10 1
10 6
1 5
2 7
3 10
2 10
9 8
"
"193.609552
")))