結果
| 問題 | No.10 ＋か×か |
| ユーザー |
 sansaqua
|
| 提出日時 | 2020-11-24 08:41:24 |
| 言語 | Common Lisp (sbcl 2.3.8) |
| 結果 |
AC
|
| 実行時間 | 38 ms / 5,000 ms |
| コード長 | 15,469 bytes |
| コンパイル時間 | 1,674 ms |
| コンパイル使用メモリ | 60,392 KB |
| 実行使用メモリ | 72,508 KB |
| 最終ジャッジ日時 | 2024-12-14 15:46:42 |
| 合計ジャッジ時間 | 2,566 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge5 |
（要ログイン）
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 | 22 ms
68,308 KB |
| testcase_01 | AC | 23 ms
72,384 KB |
| testcase_02 | AC | 23 ms
68,308 KB |
| testcase_03 | AC | 33 ms
68,308 KB |
| testcase_04 | AC | 23 ms
72,508 KB |
| testcase_05 | AC | 22 ms
72,252 KB |
| testcase_06 | AC | 38 ms
70,220 KB |
| testcase_07 | AC | 28 ms
68,180 KB |
| testcase_08 | AC | 24 ms
68,312 KB |
| testcase_09 | AC | 25 ms
68,308 KB |
| testcase_10 | AC | 23 ms
68,308 KB |
| testcase_11 | AC | 22 ms
68,184 KB |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 14 DEC 2024 03:46:39 PM): ; wrote /home/judge/data/code/Main.fasl ; compilation finished in 0:00:00.118
ソースコード
(in-package :cl-user)
(eval-when (:compile-toplevel :load-toplevel :execute)
(defparameter *opt*
#+swank '(optimize (speed 3) (safety 2))
#-swank '(optimize (speed 3) (safety 0) (debug 0)))
#+swank (ql:quickload '(:cl-debug-print :fiveam :cp/util) :silent t)
#+swank (use-package :cp/util :cl-user)
#-swank (set-dispatch-macro-character
#\# #\> (lambda (s c p) (declare (ignore c p)) `(values ,(read s nil nil t)))))
#+swank (set-dispatch-macro-character #\# #\> #'cl-debug-print:debug-print-reader)
(macrolet ((def (b)
`(progn (deftype ,(intern (format nil "UINT~A" b)) () '(unsigned-byte ,b))
(deftype ,(intern (format nil "INT~A" b)) () '(signed-byte ,b))))
(define-int-types (&rest bits) `(progn ,@(mapcar (lambda (b) `(def ,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*
(if (typep obj 'double-float) 'double-float *read-default-float-format*)))
(prog1 (princ obj stream) (terpri stream))))
;; BEGIN_INSERTED_CONTENTS
;;;
;;; Memoization macro
;;;
(defpackage :cp/with-cache
(:use :cl)
(:export #:with-cache #:with-caches))
(in-package :cp/with-cache)
;; FIXME: *RECURSION-DEPTH* should be included within the macro.
(declaim (type (integer 0 #.most-positive-fixnum) *recursion-depth*))
(defparameter *recursion-depth* 0)
(eval-when (:compile-toplevel :load-toplevel :execute)
(defun %enclose-with-trace (fname args form)
(let ((value (gensym)))
`(progn
(format t "~&~A~A: (~A ~{~A~^ ~}) =>"
(make-string *recursion-depth*
:element-type 'base-char
:initial-element #\ )
*recursion-depth*
',fname
(list ,@args))
(let ((,value (let ((*recursion-depth* (1+ *recursion-depth*)))
,form)))
(format t "~&~A~A: (~A ~{~A~^ ~}) => ~A"
(make-string *recursion-depth*
:element-type 'base-char
:initial-element #\ )
*recursion-depth*
',fname
(list ,@args)
,value)
,value))))
(defun %extract-declarations (body)
(remove-if-not (lambda (form) (and (consp form) (eql 'declare (car form))))
body))
(defun %parse-cache-form (cache-specifier)
(let ((cache-type (car cache-specifier))
(cache-attribs (cdr cache-specifier)))
(assert (member cache-type '(:hash-table :array)))
(let* ((dims-with-* (when (eql cache-type :array) (first cache-attribs)))
(dims (remove '* dims-with-*))
(rank (length dims))
(rest-attribs (ecase cache-type
(:hash-table cache-attribs)
(:array (cdr cache-attribs))))
(key (prog1 (getf rest-attribs :key) (remf rest-attribs :key)))
(trace-p (prog1 (getf rest-attribs :trace) (remf rest-attribs :trace)))
(cache-form (case cache-type
(:hash-table `(make-hash-table ,@rest-attribs))
(:array `(make-array (list ,@dims) ,@rest-attribs))))
(initial-element (when (eql cache-type :array)
(assert (member :initial-element rest-attribs))
(getf rest-attribs :initial-element))))
(let ((cache (gensym "CACHE"))
(value (gensym))
(present-p (gensym))
(args-lst (gensym))
(indices (loop repeat rank collect (gensym))))
(labels
((make-cache-querier (cache-type name args)
(let ((res (case cache-type
(:hash-table
`(let ((,args-lst (funcall ,(or key '#'list) ,@args)))
(multiple-value-bind (,value ,present-p)
(gethash ,args-lst ,cache)
(if ,present-p
,value
(setf (gethash ,args-lst ,cache)
(,name ,@args))))))
(:array
(assert (= (length args) (length dims-with-*)))
(let ((memoized-args (loop for dimension in dims-with-*
for arg in args
unless (eql dimension '*)
collect arg)))
(if key
`(multiple-value-bind ,indices
(funcall ,key ,@memoized-args)
(let ((,value (aref ,cache ,@indices)))
(if (eql ,initial-element ,value)
(setf (aref ,cache ,@indices)
(,name ,@args))
,value)))
`(let ((,value (aref ,cache ,@memoized-args)))
(if (eql ,initial-element ,value)
(setf (aref ,cache ,@memoized-args)
(,name ,@args))
,value))))))))
(if trace-p
(%enclose-with-trace name args res)
res)))
(make-reset-form (cache-type)
(case cache-type
(:hash-table `(setf ,cache (make-hash-table ,@rest-attribs)))
(:array `(prog1 nil
;; TODO: portable fill
(fill (sb-ext:array-storage-vector ,cache) ,initial-element)))))
(make-reset-name (name)
(intern (format nil "RESET-~A" (symbol-name name)))))
(values cache cache-form cache-type
#'make-reset-name
#'make-reset-form
#'make-cache-querier)))))))
(defmacro with-cache ((cache-type &rest cache-attribs) def-form)
"CACHE-TYPE := :HASH-TABLE | :ARRAY.
DEF-FORM := definition form with DEFUN, LABELS, FLET, or SB-INT:NAMED-LET.
Basic usage:
\(with-cache (:hash-table :test #'equal :key #'cons)
(defun add (a b)
(+ a b)))
This function caches the returned values for already passed combinations of
arguments. In this case ADD stores the key (CONS A B) and the returned value to
a hash-table when (ADD A B) is evaluated for the first time. When it is called
with the same arguments (w.r.t. EQUAL) again, ADD will return the stored value
instead of recomputing it.
The storage for cache can be hash-table or array. Let's see an example for
array:
\(with-cache (:array (10 20 30) :initial-element -1 :element-type 'fixnum)
(defun foo (a b c) ... ))
This form stores the value returned by FOO in an array, which was created
by (make-array (list 10 20 30) :initial-element -1 :element-type 'fixnum). Note
that INITIAL-ELEMENT must always be given here as it is used as the flag
expressing `not yet stored'. (Therefore INITIAL-ELEMENT should be a value FOO
never takes.)
If you want to ignore some arguments, you can put `*' in dimensions:
\(with-cache (:array (10 10 * 10) :initial-element -1)
(defun foo (a b c d) ...)) ; then C is ignored when querying or storing cache
Available definition forms in WITH-CACHE are DEFUN, LABELS, FLET, and
SB-INT:NAMED-LET.
You can trace a memoized function by :TRACE option:
\(with-cache (:array (10 10) :initial-element -1 :trace t)
(defun foo (x y) ...))
Then FOO is traced as with CL:TRACE.
"
(multiple-value-bind (cache-symbol cache-form cache-type
make-reset-name make-reset-form
make-cache-querier)
(%parse-cache-form (cons cache-type cache-attribs))
(ecase (car def-form)
((defun)
(destructuring-bind (_ name args &body body) def-form
(declare (ignore _))
`(let ((,cache-symbol ,cache-form))
(defun ,(funcall make-reset-name name) ()
,(funcall make-reset-form cache-type))
(defun ,name ,args
,@(%extract-declarations body)
(flet ((,name ,args ,@body))
(declare (inline ,name))
,(funcall make-cache-querier cache-type name args))))))
((labels flet)
(destructuring-bind (_ definitions &body labels-body) def-form
(declare (ignore _))
(destructuring-bind (name args &body body) (car definitions)
`(let ((,cache-symbol ,cache-form))
(,(car def-form)
((,(funcall make-reset-name name) ()
,(funcall make-reset-form cache-type))
(,name ,args
,@(%extract-declarations body)
(flet ((,name ,args ,@body))
(declare (inline ,name))
,(funcall make-cache-querier cache-type name args)))
,@(cdr definitions))
(declare (ignorable #',(funcall make-reset-name name)))
,@labels-body)))))
((nlet #+sbcl sb-int:named-let)
(destructuring-bind (_ name bindings &body body) def-form
(declare (ignore _))
`(let ((,cache-symbol ,cache-form))
(,(car def-form) ,name ,bindings
,@(%extract-declarations body)
,(let ((args (mapcar (lambda (x) (if (atom x) x (car x))) bindings)))
`(flet ((,name ,args ,@body))
(declare (inline ,name))
,(funcall make-cache-querier cache-type name args))))))))))
(defmacro with-caches (cache-specs def-form)
"DEF-FORM := definition form by LABELS or FLET.
\(with-caches (cache-spec1 cache-spec2)
(labels ((f (x) ...) (g (y) ...))))
is equivalent to the line up of
\(with-cache cache-spec1 (labels ((f (x) ...))))
and
\(with-cache cache-spec2 (labels ((g (y) ...))))
This macro will be useful to do mutual recursion between memoized local
functions."
(assert (member (car def-form) '(labels flet)))
(let (cache-symbol-list cache-form-list cache-type-list make-reset-name-list make-reset-form-list make-cache-querier-list)
(dolist (cache-spec (reverse cache-specs))
(multiple-value-bind (cache-symbol cache-form cache-type
make-reset-name make-reset-form make-cache-querier)
(%parse-cache-form cache-spec)
(push cache-symbol cache-symbol-list)
(push cache-form cache-form-list)
(push cache-type cache-type-list)
(push make-reset-name make-reset-name-list)
(push make-reset-form make-reset-form-list)
(push make-cache-querier make-cache-querier-list)))
(labels ((def-name (def) (first def))
(def-args (def) (second def))
(def-body (def) (cddr def)))
(destructuring-bind (_ definitions &body labels-body) def-form
(declare (ignore _))
`(let ,(loop for cache-symbol in cache-symbol-list
for cache-form in cache-form-list
collect `(,cache-symbol ,cache-form))
(,(car def-form)
(,@(loop for def in definitions
for cache-type in cache-type-list
for make-reset-name in make-reset-name-list
for make-reset-form in make-reset-form-list
collect `(,(funcall make-reset-name (def-name def)) ()
,(funcall make-reset-form cache-type)))
,@(loop for def in definitions
for cache-type in cache-type-list
for make-cache-querier in make-cache-querier-list
collect `(,(def-name def) ,(def-args def)
,@(%extract-declarations (def-body def))
(flet ((,(def-name def) ,(def-args def) ,@(def-body def)))
(declare (inline ,(def-name def)))
,(funcall make-cache-querier cache-type (def-name def) (def-args def))))))
(declare (ignorable ,@(loop for def in definitions
for make-reset-name in make-reset-name-list
collect `#',(funcall make-reset-name
(def-name def)))))
,@labels-body))))))
;; BEGIN_USE_PACKAGE
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/with-cache :cl-user))
(in-package :cl-user)
;;;
;;; Body
;;;
(defconstant +inf+ 100001)
(defun main ()
(let* ((n (read))
(total (read))
(as (make-array n :element-type 'uint8 :initial-element 0)))
(dotimes (i n)
(setf (aref as i) (read)))
(with-cache (:array (51 100002) :element-type t :initial-element :unbound)
(labels ((dp (pos value)
(if (= pos n)
(if (= value total) t nil)
(let ((path+ (dp (+ pos 1) (min +inf+ (+ value (aref as pos))))))
(if path+
(cons #\+ path+)
(let ((path* (dp (+ pos 1) (min +inf+ (* value (aref as pos))))))
(when path*
(cons #\* (dp (+ pos 1) (* value (aref as pos)))))))))))
(let ((res (dp 1 (aref as 0))))
(setf (cdr (last res)) nil)
(mapc #'write-char res)
(terpri))))))
#-swank (main)
;;;
;;; Test and benchmark
;;;
#+swank
(progn
(defparameter *lisp-file-pathname* (uiop:current-lisp-file-pathname))
(setq *default-pathname-defaults* (uiop:pathname-directory-pathname *lisp-file-pathname*))
(uiop:chdir *default-pathname-defaults*)
(defparameter *dat-pathname* (uiop:merge-pathnames* "test.dat" *lisp-file-pathname*))
(defparameter *problem-url* "https://yukicoder.me/problems/no/10"))
#+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)))
#+(and sbcl (not swank))
(eval-when (:compile-toplevel)
(when (or (> sb-c::*compiler-warning-count* 0)
sb-c::*undefined-warnings*)
(error "count: ~D, undefined warnings: ~A"
sb-c::*compiler-warning-count*
sb-c::*undefined-warnings*)))
;; To run: (5am:run! :sample)
#+swank
(5am:test :sample
(5am:is
(equal "+*+
"
(run "4
31
1 2 10 1
" nil)))
(5am:is
(equal "++
"
(run "3
6
2 3 1
" nil)))
(5am:is
(equal "**
"
(run "3
2
1 1 2
" nil))))