結果

問題 No.885 アマリクエリ
ユーザー sansaquasansaqua
提出日時 2019-09-13 23:06:40
言語 Common Lisp
(sbcl 2.3.8)
結果
AC  
実行時間 319 ms / 2,000 ms
コード長 9,877 bytes
コンパイル時間 127 ms
コンパイル使用メモリ 52,292 KB
実行使用メモリ 40,468 KB
最終ジャッジ日時 2023-09-17 15:13:47
合計ジャッジ時間 2,869 ms
ジャッジサーバーID
(参考情報)
judge13 / judge14
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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 319 ms
32,712 KB
testcase_01 AC 123 ms
36,812 KB
testcase_02 AC 96 ms
36,928 KB
testcase_03 AC 72 ms
38,380 KB
testcase_04 AC 73 ms
32,760 KB
testcase_05 AC 51 ms
32,712 KB
testcase_06 AC 37 ms
36,476 KB
testcase_07 AC 28 ms
26,368 KB
testcase_08 AC 43 ms
32,460 KB
testcase_09 AC 129 ms
40,468 KB
testcase_10 AC 9 ms
23,820 KB
testcase_11 AC 10 ms
23,848 KB
testcase_12 AC 10 ms
23,856 KB
testcase_13 AC 11 ms
27,784 KB
testcase_14 AC 11 ms
23,888 KB
testcase_15 AC 10 ms
24,060 KB
testcase_16 AC 11 ms
23,840 KB
testcase_17 AC 10 ms
23,864 KB
testcase_18 AC 11 ms
27,764 KB
testcase_19 AC 11 ms
29,860 KB
testcase_20 AC 10 ms
27,792 KB
testcase_21 AC 9 ms
23,752 KB
権限があれば一括ダウンロードができます
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 17 SEP 2023 03:13:44 PM):
; processing (SB-INT:DEFCONSTANT-EQX OPT ...)
; processing (SET-DISPATCH-MACRO-CHARACTER #\# ...)
; processing (DISABLE-DEBUGGER)
; processing (DEFMACRO WITH-BUFFERED-STDOUT ...)
; processing (SB-C:DEFTRANSFORM ARRAY-ELEMENT-TYPE ...)
; file: /home/judge/data/code/Main.lisp
; in: SB-C:DEFTRANSFORM ARRAY-ELEMENT-TYPE
;     (SB-C:DEFTRANSFORM ARRAY-ELEMENT-TYPE
;         ((ARRAY))
;       (LET ((TYPE (SB-C::LVAR-TYPE ARRAY)))
;         (FLET ((ELEMENT-TYPE #
;                  #))
;           (COND (#) (# #) (# #) (T #)))))
; ==>
;   (SB-C::%DEFTRANSFORM 'ARRAY-ELEMENT-TYPE NIL '(FUNCTION * *)
;                        (SB-INT:NAMED-LAMBDA (SB-C:DEFTRANSFORM ARRAY-ELEMENT-TYPE)
;                            (#:NODE &AUX
;                             (#:ARGS (SB-C::BASIC-COMBINATION-ARGS #:NODE))
;                             (#:G0 (POP #:ARGS)) (ARRAY #:G0)
;                             (#:G1 (UNLESS # #)))
;                          (DECLARE (IGNORABLE #:ARGS #:G0 ARRAY #:G1))
;                          (DECLARE (SB-C::LAMBDA-LIST (SB-C::NODE)))
;                          (BLOCK ARRAY-ELEMENT-TYPE
;                            (MULTIPLE-VALUE-BIND (#:LAMBDA #:DECLS)
;                                (PROGN #)
;                              (IF #
;                                  #:LAMBDA
;                                  `#))))
;                        :SLIGHTLY)
; 
; caught STYLE-WARNING:
;   Overwriting #<SB-C::TRANSFORM
;                 :TYPE #<SB-KERNEL:BUILT-IN-CLASSOID FUNCTION (read-only)>
;                 :NOTE "optimize"
;                 :IMPORTANT :SLIGHTLY>

; processing (SB-C:DEFOPTIMIZER (SB-C::MAKE-ARRAY-HEADER* SB-C:DERIVE-TYPE) ...)
; processing (DECLAIM (FTYPE # ...))
; processing (DEFUN READ-FIXNUM ...)
; processing (DECLAIM (INLINE MAKE-DISJOINT-SPARSE-TABLE))
; processing (DEFUN MAKE-DISJOINT-SPARSE-TABLE ...)
; processing (DECLAIM (INLINE DST-QUERY))
; processi

ソースコード

diff #

;; -*- coding: utf-8 -*-
(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)) (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
;; Should we do this with UNWIND-PROTECT?
(defmacro with-buffered-stdout (&body body)
  "Buffers all outputs to *STANDARD-OUTPUT* in BODY and flushes them to
*STANDARD-OUTPUT* after BODY has been done (without error). Note that only
BASE-CHAR is allowed."
  (let ((out (gensym)))
    `(let ((,out (make-string-output-stream :element-type 'base-char)))
       (let ((*standard-output* ,out))
         ,@body)
       (write-string (get-output-stream-string ,out)))))

;;;
;;; ARRAY-ELEMENT-TYPE is not constant-folded on SBCL version earlier than
;;; 1.5.0. See
;;; https://github.com/sbcl/sbcl/commit/9f0d12e7ab961828931d01c0b2a76a5885ad35d2
;;;

(eval-when (:compile-toplevel :load-toplevel :execute)
  (sb-c:deftransform array-element-type ((array))
    (let ((type (sb-c::lvar-type array)))
      (flet ((element-type (type)
               (and (sb-c::array-type-p type)
                    (sb-int:neq (sb-kernel::array-type-specialized-element-type type) sb-kernel:*wild-type*)
                    (sb-kernel:type-specifier (sb-kernel::array-type-specialized-element-type type)))))
        (cond ((let ((type (element-type type)))
                 (and type
                      `',type)))
              ((sb-kernel:union-type-p type)
               (let (result)
                 (loop for type in (sb-kernel:union-type-types type)
                       for et = (element-type type)
                       unless (and et
                                   (if result
                                       (equal result et)
                                       (setf result et)))
                       do (sb-c::give-up-ir1-transform))
                 `',result))
              ((sb-kernel:intersection-type-p type)
               (loop for type in (sb-kernel:intersection-type-types type)
                     for et = (element-type type)
                     when et
                     return `',et
                     finally (sb-c::give-up-ir1-transform)))
              (t
               (sb-c::give-up-ir1-transform)))))))

;; On SBCL version earlier than 1.5.6 this type deriver is necessary for
;; MAKE-ARRAY to propagate the element type of a multi-dimensional array. It is
;; a dead copy of the commit
;; https://github.com/sbcl/sbcl/commit/c84daa0791f4d4ed03469fc23a1d1bc2aadacda2
(eval-when (:compile-toplevel :load-toplevel :execute)
  (sb-c:defoptimizer (sb-c::make-array-header* sb-c::derive-type) ((&rest inits))
    (let* ((data-position #.(sb-vm::slot-offset
                             (find 'sb-vm::data (sb-vm:primitive-object-slots
                                                 (find 'array sb-vm:*primitive-objects*
                                                       :key 'sb-vm:primitive-object-name))
                                   :key 'sb-vm::slot-name)))
           (data (nth data-position inits))
           (type (sb-c::lvar-type data)))
      (when (sb-kernel:array-type-p type)
        (sb-kernel:make-array-type '*
                                   :element-type (sb-kernel:array-type-element-type type)
                                   :specialized-element-type (sb-kernel:array-type-specialized-element-type type))))))

(declaim (ftype (function * (values fixnum &optional)) read-fixnum))
(defun read-fixnum (&optional (in *standard-input*))
  (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 #\-))
                                  (setf 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)
  "BINOP := binary operator (comprising a semigroup)"
  (let* ((n (length vector))
         (height (integer-length (- n 1)))
         (table (make-array (list height n) :element-type (array-element-type vector))))
    (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)
                    (funcall binop (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)
                      (funcall binop (aref table i (- k 1)) (aref vector k)))))))))
    table))

(declaim (inline dst-query))
(defun dst-query (table binop 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)
    (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)))
        (funcall binop
                 (aref table h left)
                 (aref table h right)))))

(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 ()
  (declare #.OPT)
  (let* ((n (read))
         (as (make-array n :element-type 'uint32)))
    (dotimes (i n) (setf (aref as i) (read-fixnum)))
    (let* ((q (read))
           (xs (make-array q :element-type 'uint32))
           (deltas (make-array q :element-type 'uint62 :initial-element 0)))
      (dotimes (i q) (setf (aref xs i) (read-fixnum)))
      (let ((dtable (make-disjoint-sparse-table xs #'min)))
        (declare ((simple-array uint32 (* *)) dtable))
        (dotimes (i n)
          (let ((value (aref as i))
                (prev-pos 0))
            (declare (fixnum value prev-pos))
            (loop
              (unless (<= (dst-query dtable #'min prev-pos q #xffffffff) value)
                (return))
              (let* ((new-pos (sb-int:named-let bisect ((ng prev-pos) (ok q))
                                (declare (int32 ng ok))
                                (if (<= (- ok ng) 1)
                                    (- ok 1)
                                    (let* ((mid (ash (+ ng ok) -1))
                                           (min (dst-query dtable #'min prev-pos mid #xffffffff)))
                                      (if (<= min value)
                                          (bisect ng mid)
                                          (bisect mid ok))))))
                     (new-value (mod value (aref xs new-pos))))
                (incf (aref deltas new-pos) (- value new-value))
                (setq prev-pos new-pos
                      value new-value))))))
      (let ((sum (reduce #'+ as)))
        (declare (fixnum sum))
        (with-buffered-stdout
          (dotimes (i q)
            (decf sum (aref deltas i))
            (println sum)))))))

#-swank (main)
0