結果

問題 No.885 アマリクエリ
ユーザー sansaqua
提出日時 2019-09-13 22:52:44
言語 Common Lisp
(sbcl 2.5.0)
結果
AC  
実行時間 502 ms / 2,000 ms
コード長 6,650 bytes
コンパイル時間 478 ms
コンパイル使用メモリ 84,992 KB
実行使用メモリ 30,720 KB
最終ジャッジ日時 2024-07-04 10:12:24
合計ジャッジ時間 4,428 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
このコードへのチャレンジ
（要ログイン）
ファイルパターン 結果
sample AC * 3
other AC * 19
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 04 JUL 2024 10:12:18 AM):

; wrote /home/judge/data/code/Main.fasl
; compilation finished in 0:00:00.279

ソースコード

diff #
プレゼンテーションモードにする

;; -*- 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
(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 '(unsigned-byte 32))))
    (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)
    (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)))
        (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 ()
  (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 'fixnum :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))
            ;; (terpri)
            (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))))
                (decf (aref deltas new-pos) (- value new-value))
                (setq prev-pos new-pos
                      value new-value))))))
      (let ((sum (reduce #'+ as)))
        (dotimes (i q)
          (incf sum (aref deltas i))
          (println sum))))))
#-swank (main)
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0