結果
| 問題 |
No.1188 レベルX門松列
|
| コンテスト | |
| ユーザー |
 sansaqua
|
| 提出日時 | 2020-08-22 13:44:25 |
| 言語 | Common Lisp (sbcl 2.5.0) |
| 結果 |
AC
|
| 実行時間 | 146 ms / 2,000 ms |
| コード長 | 12,213 bytes |
| コンパイル時間 | 1,083 ms |
| コンパイル使用メモリ | 92,672 KB |
| 実行使用メモリ | 32,896 KB |
| 最終ジャッジ日時 | 2024-10-15 07:58:18 |
| 合計ジャッジ時間 | 3,170 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 * 3 |
| other | AC * 21 |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 15 OCT 2024 07:58:14 AM): ; wrote /home/judge/data/code/Main.fasl ; compilation finished in 0:00:00.695
ソースコード
(in-package :cl-user)
(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)
(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)
(defconstant +mod+ 1000000007)
(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))))
;; BEGIN_INSERTED_CONTENTS
(defpackage :cp/read-fixnum
(:use :cl)
(:export #:read-fixnum))
(in-package :cp/read-fixnum)
(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))))))))
(defpackage :cp/inverse-table
(:use :cl)
(:export #:make-inverse-table #:make-monotone-inverse-table!))
(in-package :cp/inverse-table)
(declaim (inline make-reverse-inverse-table))
(defun make-inverse-table (vector &key (test #'eql))
"Returns a hash-table that assigns each value of the (usually sorted) VECTOR
of length n to the integers 0, ..., n-1."
(let ((table (make-hash-table :test test :size (length vector))))
(dotimes (i (length vector) table)
(setf (gethash (aref vector i) table) i))))
(declaim (inline make-monotone-inverse-table!))
(defun make-monotone-inverse-table! (vector &key (test #'eql) (order #'<))
"Sorts VECTOR, deletes all adjacent duplicates, and returns a hash-table that
assigns each value of the vector to the integers 0, 1, ..."
(declare (function test order)
(vector vector)
(inline sort))
(setq vector (sort vector order))
(let ((table (make-hash-table :test test :size (length vector)))
(index 0))
(declare ((integer 0 #.most-positive-fixnum) index))
(dotimes (pos (length vector))
(when (or (zerop pos)
(not (funcall test (aref vector pos) (aref vector (- pos 1)))))
(setf (gethash (aref vector pos) table) index)
(incf index)))
(values table index)))
;;;
;;; 1-dimensional segment tree on arbitrary monoid (bottom-up implementation)
;;;
;; TODO: test
;; TODO: binary search
(defpackage :cp/abstract-segtree
(:use :cl)
(:export #:define-segtree))
(in-package :cp/abstract-segtree)
(defmacro define-segtree (name &key (operator '#'+) (identity 0) element-type)
"OPERATOR := binary operator (comprising a monoid)
IDENTITY := object (identity element of the monoid)
ELEMENT-TYPE := type specifier
This macro defines three functions: <NAME>-REF, index-access function,
<NAME>-FOLD, query function for range sum, and MAKE-<NAME>, constructor."
(let* ((fname-ref (intern (format nil "~A-REF" (symbol-name name))))
(fname-fold (intern (format nil "~A-FOLD" (symbol-name name))))
(fname-make (intern (format nil "MAKE-~A" (symbol-name name))))
(fname-%make (intern (format nil "%MAKE-~A" (symbol-name name))))
(fname-n (intern (format nil "%~A-N" (symbol-name name))))
(fname-vector (intern (format nil "%~A-VECTOR" (symbol-name name))))
(conc-name (intern (format nil "%~A-" (symbol-name name)))))
`(progn
(defstruct (,name (:constructor ,fname-%make
(vector &aux (n (ash (+ 1 (length vector)) -1))))
(:conc-name ,conc-name))
(n nil :type (integer 0 #.(floor array-total-size-limit 2)))
(vector nil :type (simple-array ,element-type (*))))
(declaim (inline ,fname-make))
(defun ,fname-make (size &key (initial-element ,identity) initial-contents)
(declare ((integer 0 #.most-positive-fixnum) size)
((or null sequence) initial-contents))
(let ((res (make-array (- (* 2 size) 1)
:element-type ',element-type
:initial-element initial-element)))
(when initial-contents
(replace res initial-contents :start1 (- size 1)))
(loop for i from (- size 2) downto 0
do (setf (aref res i)
(funcall ,operator
(aref res (+ (* 2 i) 1)) (aref res (+ (* 2 i) 2)))))
(,fname-%make res)))
(declaim (inline ,fname-ref))
(defun ,fname-ref (,name index)
"Returns the element at INDEX."
(declare ((integer 0 #.most-positive-fixnum) index))
(aref (,fname-vector ,name)
(+ index (,fname-n ,name) -1)))
(declaim (inline (setf ,fname-ref)))
(defun (setf ,fname-ref) (new-value ,name index)
(declare ((integer 0 #.most-positive-fixnum) index)
(,element-type new-value))
(let* ((vector (,fname-vector ,name))
(i (+ index (- (,fname-n ,name) 1))))
(declare ((integer 0 #.most-positive-fixnum) i))
(setf (aref vector i) new-value)
(loop while (> i 0)
do (setq i (ash (- i 1) -1))
(setf (aref vector i)
(funcall ,operator
(aref vector (+ (* 2 i) 1))
(aref vector (+ (* 2 i) 2)))))
new-value))
(declaim (inline ,fname-fold))
(defun ,fname-fold (,name left right)
"Folds the given half-open range [LEFT, RIGHT)."
(declare ((integer 0 #.most-positive-fixnum) left right))
(let* ((vector (,fname-vector ,name))
(l (+ left (,fname-n ,name) -1))
(r (+ right (,fname-n ,name) -1))
(lvalue ,identity)
(rvalue ,identity))
(declare ((integer 0 #.most-positive-fixnum) l r)
(,element-type lvalue rvalue))
(loop while (< l r)
when (evenp l)
do (setq lvalue (funcall ,operator lvalue (aref vector l)))
(incf l)
when (evenp r)
do (decf r)
(setq rvalue (funcall ,operator (aref vector r) rvalue))
do (setq l (ash (- l 1) -1)
r (ash (- r 1) -1)))
(funcall ,operator lvalue rvalue))))))
#|
(define-segtree segtree
:operator #'+
:identity 0
:element-type fixnum)
;|#
(defpackage :cp/modify-macro
(:use :cl)
(:export #:minf #:maxf #:mulf #:divf #:iorf #:xorf #:andf))
(in-package :cp/modify-macro)
(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))
;; BEGIN_USE_PACKAGE
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/modify-macro :cl-user))
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/abstract-segtree :cl-user))
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/inverse-table :cl-user))
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/read-fixnum :cl-user))
(in-package :cl-user)
;;;
;;; Body
;;;
(define-segtree segtree
:operator #'max
:identity 0
:element-type uint31)
(declaim (ftype (function * (values (simple-array uint31 (*)) &optional)) calc-lis))
(defun calc-lis (as)
(declare ((simple-array uint31 (*)) as))
(let* ((n (length as))
(dp (make-segtree n))
(res (make-array n :element-type 'uint31 :initial-element 0)))
(dotimes (i n)
(let* ((a (aref as i))
(max (segtree-fold dp 0 a)))
(setf (aref res i) (+ max 1))
(maxf (segtree-ref dp a) (+ max 1))))
res))
(defun main ()
(let* ((n (read))
(as (make-array n :element-type 'uint31 :initial-element 0)))
(dotimes (i n)
(setf (aref as i) (read-fixnum)))
(let ((inv-table (make-monotone-inverse-table! (copy-seq as))))
(dotimes (i n)
(setf (aref as i) (gethash (aref as i) inv-table)))
(let ((max-a (reduce #'max as))
(lis-left (calc-lis as))
(lis-right (reverse (calc-lis (reverse as)))))
(dotimes (i n)
(setf (aref as i) (- max-a (aref as i))))
(let ((lds-left (calc-lis as))
(lds-right (reverse (calc-lis (reverse as))))
(res 0))
(loop for l across lis-left
for r across lis-right
do (maxf res (- (min l r) 1)))
(loop for l across lds-left
for r across lds-right
do (maxf res (- (min l r) 1)))
(println res))))))
#-swank (main)
;;;
;;; Test and benchmark
;;;
#+swank
(defun get-clipbrd ()
(with-output-to-string (out)
#+os-windows (run-program "powershell.exe" '("-Command" "Get-Clipboard") :output out :search t)
#+os-unix (run-program "xsel" '("-b" "-o") :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* (or out (make-string-output-stream)))
(res (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))))))
(if out res (get-output-stream-string *standard-output*))))
#+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
(equal "1
"
(run "3
1 3 2
" nil)))
(it.bese.fiveam:is
(equal "0
"
(run "1
1
" nil)))
(it.bese.fiveam:is
(equal "2
"
(run "6
5 3 1 2 4 2
" nil))))