結果
| 問題 | No.1036 Make One With GCD 2 |
| ユーザー |
 sansaqua
|
| 提出日時 | 2020-04-24 23:16:16 |
| 言語 | Common Lisp (sbcl 2.3.8) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 9,439 bytes |
| コンパイル時間 | 1,556 ms |
| コンパイル使用メモリ | 71,136 KB |
| 実行使用メモリ | 114,368 KB |
| 最終ジャッジ日時 | 2024-11-07 03:06:27 |
| 合計ジャッジ時間 | 16,485 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge3 |
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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 | 520 ms
114,368 KB |
| testcase_01 | AC | 815 ms
107,540 KB |
| testcase_02 | AC | 502 ms
107,416 KB |
| testcase_03 | AC | 66 ms
56,148 KB |
| testcase_04 | AC | 116 ms
77,788 KB |
| testcase_05 | AC | 11 ms
28,748 KB |
| testcase_06 | AC | 10 ms
26,792 KB |
| testcase_07 | AC | 715 ms
62,156 KB |
| testcase_08 | AC | 584 ms
53,972 KB |
| testcase_09 | AC | 1,849 ms
105,372 KB |
| testcase_10 | AC | 1,713 ms
99,352 KB |
| testcase_11 | AC | 1,887 ms
101,120 KB |
| testcase_12 | AC | 1,732 ms
103,528 KB |
| testcase_13 | TLE | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
| testcase_24 | -- | - |
| testcase_25 | -- | - |
| testcase_26 | -- | - |
| testcase_27 | -- | - |
| testcase_28 | -- | - |
| testcase_29 | -- | - |
| testcase_30 | -- | - |
| testcase_31 | -- | - |
| testcase_32 | -- | - |
| testcase_33 | -- | - |
| testcase_34 | -- | - |
| testcase_35 | -- | - |
| testcase_36 | -- | - |
| testcase_37 | -- | - |
| testcase_38 | -- | - |
| testcase_39 | -- | - |
| testcase_40 | -- | - |
| testcase_41 | -- | - |
| testcase_42 | -- | - |
| testcase_43 | -- | - |
| testcase_44 | -- | - |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 07 NOV 2024 03:06:08 AM): ; file: /home/judge/data/code/Main.lisp ; in: DEFUN MAIN ; (GCD VALUE A) ; ; note: unable to ; optimize ; due to type uncertainty: ; The first argument is a (UNSIGNED-BYTE 62), not a (OR ; (INTEGER ; -4611686018427387904 -1) ; (INTEGER 1 ; 4611686018427387903)). ; The second argument is a (UNSIGNED-BYTE 62), not a (OR ; (INTEGER ; -4611686018427387904 -1) ; (INTEGER 1 ; 4611686018427387903)). ; (DST-QUERY DTABLE L R 0) ; --> BLOCK IF LET ; ==> ; (GCD (AREF TABLE H LEFT) (AREF TABLE H RIGHT)) ; ; note: unable to ; optimize ; due to type uncertainty: ; The first argument is a (UNSIGNED-BYTE 62), not a (OR ; (INTEGER ; -4611686018427387904 -1) ; (INTEGER 1 ; 4611686018427387903)). ; The second argument is a (UNSIGNED-BYTE 62), not a (OR ; (INTEGER ; -4611686018427387904 -1) ; (INTEGER 1 ; 4611686018427387903)). ; (MAKE-DISJOINT-SPARSE-TABLE AS) ; --> BLOCK LET* DO BLOCK LET TAGBODY TAGBODY LET* DO BLOCK LET TAGBODY TAGBODY ; --> LET LET DO BLOCK LET TAGBODY TAGBODY SETF LET* ; ==> ; (GCD (AREF TABLE I
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
(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)
;; BEGIN_INSERTED_CONTENTS
(macrolet ((def (name fname)
`(define-modify-macro ,name (new-value) ,fname)))
(def minf min)
(def maxf max)
(def mulf *)
(def divf /)
(def iorf logior)
(def xorf logxor)
(def andf logand))
(declaim (ftype (function * (values fixnum &optional)) read-fixnum))
(defun read-fixnum (&optional (in *standard-input*))
"NOTE: cannot read -2^62"
(declare #.OPT)
(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))))))))
;;;
;;; Disjoint sparse table on arbitrary semigroup
;;;
;;; Reference:
;;; https://discuss.codechef.com/questions/117696/tutorial-disjoint-sparse-table
;;; http://noshi91.hatenablog.com/entry/2018/05/08/183946 (Japanese)
;;; http://drken1215.hatenablog.com/entry/2018/09/08/162600 (Japanese)
;; NOTE: This constructor is slow on SBCL version earlier than 1.5.6 as the type
;; propagation of MAKE-ARRAY doesn't work. The following files are required to
;; enable the optimization.
;; version < 1.5.0: array-element-type.lisp, make-array-header.lisp
;; version < 1.5.6: make-array-header.lisp
(declaim (inline make-disjoint-sparse-table))
(defun make-disjoint-sparse-table (vector)
"BINOP := binary operator (comprising a semigroup)"
(declare ((simple-array uint62 (*)) vector))
(let* ((n (length vector))
(height (max 1 (integer-length (- n 1))))
(table (make-array (list height n) :element-type 'uint62)))
(dotimes (j n)
(setf (aref table 0 j) (aref vector j)))
(do ((i 1 (+ i 1)))
((>= i height))
(let* ((width/2 (ash 1 i))
(width (* width/2 2)))
(do ((j 0 (+ j width)))
((>= j n))
(let ((mid (min (+ j width/2) n)))
;; fill the first half
(setf (aref table i (- mid 1))
(aref vector (- mid 1)))
(do ((k (- mid 2) (- k 1)))
((< k j))
(setf (aref table i k)
(gcd (aref vector k) (aref table i (+ k 1)))))
(when (>= mid n)
(return))
;; fill the second half
(setf (aref table i mid)
(aref vector mid))
(let ((end (min n (+ mid width/2))))
(do ((k (+ mid 1) (+ k 1)))
((>= k end))
(setf (aref table i k)
(gcd (aref table i (- k 1)) (aref vector k)))))))))
table))
(declaim (inline dst-query))
(defun dst-query (table left right &optional identity)
"Queries the interval [LEFT, RIGHT). Returns IDENTITY for a null interval [x,
x)."
(declare ((integer 0 #.most-positive-fixnum) left right)
((simple-array * (* *)) table))
(when (>= left right)
(assert (= left right))
(return-from dst-query identity))
(setq right (- right 1)) ;; change to closed interval
(if (= left right)
(aref table 0 left)
(let ((h (- (integer-length (logxor left right)) 1)))
(gcd (aref table h left)
(aref table h right)))))
(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)))
(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 solve (n i j)
;; (let* ((stage (min i j (- n i 1) (- n j 1)))
;; (sector (cond ((= i stage) 0)
;; ((= (- n j 1) stage) 1)
;; ((= (- n i 1) stage) 2)
;; ((= j stage) 3)
;; (t (error "Huh?"))))
;; (base (- (expt n 2) (expt (- n (* 2 stage)) 2)))
;; (len (- n (* 2 stage) 1))
;; (actual-base (+ base (* sector len)))
;; (origin-y (ecase sector
;; ((0 1) stage)
;; ((2 3) (- n stage 1))))
;; (origin-x (ecase sector
;; ((0 3) stage)
;; ((1 2) (- n stage 1)))))
;; (dbg stage sector base len actual-base origin-y origin-x)
;; (ecase sector
;; (0 (+ actual-base (- j origin-x)))
;; (1 (+ actual-base (- i origin-y)))
;; (2 (+ actual-base (- origin-x j)))
;; (3 (+ actual-base (- origin-y i))))))
(defun main ()
(declare #.OPT)
(let* ((n (read))
(as (make-array n :element-type 'uint62 :initial-element 0)))
(declare (uint31 n))
(dotimes (i n)
(setf (aref as i) (read-fixnum)))
(let ((r 0)
(dtable (make-disjoint-sparse-table as))
(res 0))
(declare (uint62 r res))
(dotimes (l n)
(maxf r l)
(let ((value (dst-query dtable l r 0)))
(declare (uint62 value))
#>value
(loop (when (= r n)
(return))
(let* ((a (aref as r))
(new-value (gcd value a)))
(when (= 1 new-value)
(return))
(setq value new-value)
(incf r)))
(dbg l r)
(incf res (- r l))))
(println (- (ash (* n (+ n 1)) -1)
res)))))
#-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 "3
1 2 3
"
"4
"))
(it.bese.fiveam:is
(common-lisp-user::io-equal "4
1 1 1 1
"
"10
"))
(it.bese.fiveam:is
(common-lisp-user::io-equal "4
2 4 8 16
"
"0
"))
(it.bese.fiveam:is
(common-lisp-user::io-equal "10
801754 703742 332182 68016 914814 8470 937255 293192 313080 501971
"
"28
")))