結果
| 問題 | No.1581 Multiple Sequence |
| ユーザー |
 sansaqua
|
| 提出日時 | 2021-07-02 22:04:13 |
| 言語 | Common Lisp (sbcl 2.3.8) |
| 結果 |
AC
|
| 実行時間 | 63 ms / 2,000 ms |
| コード長 | 8,981 bytes |
| コンパイル時間 | 878 ms |
| コンパイル使用メモリ | 51,348 KB |
| 実行使用メモリ | 46,744 KB |
| 最終ジャッジ日時 | 2023-09-11 21:57:09 |
| 合計ジャッジ時間 | 2,843 ms |
|
ジャッジサーバーID （参考情報） |
judge15 / judge14 |
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 | 10 ms
25,740 KB |
| testcase_01 | AC | 10 ms
27,744 KB |
| testcase_02 | AC | 55 ms
40,796 KB |
| testcase_03 | AC | 63 ms
44,832 KB |
| testcase_04 | AC | 20 ms
30,504 KB |
| testcase_05 | AC | 63 ms
46,744 KB |
| testcase_06 | AC | 29 ms
34,664 KB |
| testcase_07 | AC | 19 ms
30,516 KB |
| testcase_08 | AC | 22 ms
32,672 KB |
| testcase_09 | AC | 56 ms
42,776 KB |
| testcase_10 | AC | 38 ms
40,484 KB |
| testcase_11 | AC | 15 ms
32,196 KB |
| testcase_12 | AC | 24 ms
32,540 KB |
| testcase_13 | AC | 9 ms
23,976 KB |
| testcase_14 | AC | 55 ms
44,960 KB |
| testcase_15 | AC | 42 ms
38,720 KB |
| testcase_16 | AC | 14 ms
28,480 KB |
| testcase_17 | AC | 63 ms
44,940 KB |
| testcase_18 | AC | 13 ms
28,464 KB |
| testcase_19 | AC | 48 ms
40,840 KB |
| testcase_20 | AC | 49 ms
40,792 KB |
| testcase_21 | AC | 57 ms
42,864 KB |
| testcase_22 | AC | 30 ms
34,748 KB |
| testcase_23 | AC | 61 ms
44,840 KB |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 11 SEP 2023 09:57:05 PM): ; processing (IN-PACKAGE :CL-USER) ; processing (DEFPARAMETER *OPT* ...) ; processing (SET-DISPATCH-MACRO-CHARACTER #\# ...) ; processing (DOLIST (F #) ...) ; processing (SETQ *RANDOM-STATE* ...) ; processing (DEFINE-INT-TYPES 2 ...) ; processing (DEFCONSTANT +MOD+ ...) ; processing (DEFMACRO DBG ...) ; processing (DECLAIM (INLINE PRINTLN)) ; processing (DEFUN PRINTLN ...) ; processing (DEFPACKAGE :CP/MOD-OPERATIONS ...) ; processing (IN-PACKAGE :CP/MOD-OPERATIONS) ; processing (DEFVAR *MODULUS* ...) ; processing (DECLAIM (# *MODULUS*) ...) ; processing (DEFMACRO DEFINE-MOD-OPERATIONS ...) ; processing (DEFINE-MOD-OPERATIONS COMMON-LISP-USER::+MOD+ ...) ; processing (DEFPACKAGE :CP/DIVISOR-TABLE ...) ; processing (IN-PACKAGE :CP/DIVISOR-TABLE) ; processing (DEFTYPE UINT ...) ; processing (DECLAIM (FTYPE # ...)) ; processing (DEFUN %MAKE-DIVISORS-LIST-TABLE ...) ; processing (DECLAIM (FTYPE # ...)) ; processing (DEFUN %MAKE-DIVISORS-VECTOR-TABLE ...) ; processing (DECLAIM (FTYPE # ...)) ; processing (DEFUN MAKE-DIVISORS-TABLE ...) ; processing (USE-PACKAGE :CP/DIVISOR-TABLE ...) ; processing (USE-PACKAGE :CP/MOD-OPERATIONS ...) ; processing (IN-PACKAGE :CL-USER) ; processing (DEFUN MAIN ...) ; processing (MAIN) ; wrote /home/judge/data/code/Main.fasl ; compilation finished in 0:00:00.103
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))))
#+sbcl (dolist (f '(:popcnt :sse4)) (pushnew f sb-c:*backend-subfeatures*))
(setq *random-state* (make-random-state t)))
#-swank (eval-when (:compile-toplevel)
(setq *break-on-signals* '(and warning (not style-warning))))
#+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)
(declare (ignorable forms))
#+swank (if (= (length forms) 1)
`(format *error-output* "~A => ~A~%" ',(car forms) ,(car forms))
`(format *error-output* "~A => ~A~%" ',forms `(,,@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
(defpackage :cp/mod-operations
(:use :cl)
(:export #:define-mod-operations #:*modulus*)
(:documentation "Provides modular arithmetic."))
(in-package :cp/mod-operations)
(eval-when (:compile-toplevel :load-toplevel :execute)
(defvar *modulus* 0))
(declaim ((unsigned-byte 31) *modulus*)
#+sbcl (sb-ext:always-bound *modulus*))
(defmacro define-mod-operations
(divisor &optional (package #+sbcl (sb-int:sane-package) #-sbcl *package*))
(let ((mod* (intern "MOD*" package))
(mod+ (intern "MOD+" package))
(mod- (intern "MOD-" package))
(incfmod (intern "INCFMOD" package))
(decfmod (intern "DECFMOD" package))
(mulfmod (intern "MULFMOD" package)))
`(progn
(defun ,mod* (&rest args)
(cond ((cdr args) (reduce (lambda (x y) (mod (* x y) ,divisor)) args))
(args (mod (car args) ,divisor))
(t (mod 1 ,divisor))))
(defun ,mod+ (&rest args)
(cond ((cdr args) (reduce (lambda (x y) (mod (+ x y) ,divisor)) args))
(args (mod (car args) ,divisor))
(t 0)))
(defun ,mod- (&rest args)
(if (cdr args)
(reduce (lambda (x y) (mod (- x y) ,divisor)) args)
(mod (- (car args)) ,divisor)))
#+sbcl
(eval-when (:compile-toplevel :load-toplevel :execute)
(locally (declare (sb-ext:muffle-conditions warning))
(sb-c:define-source-transform ,mod* (&rest args)
(case (length args)
(0 `(mod 1 ,',divisor))
(1 `(mod ,(car args) ,',divisor))
(otherwise (reduce (lambda (x y) `(mod (* ,x ,y) ,',divisor)) args))))
(sb-c:define-source-transform ,mod+ (&rest args)
(case (length args)
(0 0)
(1 `(mod ,(car args) ,',divisor))
(otherwise (reduce (lambda (x y) `(mod (+ ,x ,y) ,',divisor)) args))))
(sb-c:define-source-transform ,mod- (&rest args)
(case (length args)
(0 (values nil t))
(1 `(mod (- ,(car args)) ,',divisor))
(otherwise (reduce (lambda (x y) `(mod (- ,x ,y) ,',divisor)) args))))))
(define-modify-macro ,incfmod (delta)
(lambda (x y) (mod (+ x y) ,divisor)))
(define-modify-macro ,decfmod (delta)
(lambda (x y) (mod (- x y) ,divisor)))
(define-modify-macro ,mulfmod (multiplier)
(lambda (x y) (mod (* x y) ,divisor))))))
(define-mod-operations cl-user::+mod+ :cl-user)
(defpackage :cp/divisor-table
(:use :cl)
(:export #:make-divisors-table))
(in-package :cp/divisor-table)
(deftype uint () '(integer 0 #.most-positive-fixnum))
(declaim (ftype (function * (values (simple-array t (*)) &optional))
%make-divisors-table))
(defun %make-divisors-list-table (max)
"Returns a vector of length MAX+1 whose each cell, vector[X], is a list
containing all the divisors of X in ascending order. Time and space complexity
is O(Nlog(N)). Note that vector[0] = NIL."
(declare (optimize (speed 3))
(uint max)
#+sbcl (sb-ext:muffle-conditions style-warning))
(let ((result (make-array (+ 1 max) :element-type 'list))
(tails (make-array (+ 1 max) :element-type 'list))) ; stores the last cons cell
(declare (optimize (speed 3) (safety 0)))
(loop for i from 1 to max
for cell = (list 1)
do (setf (aref result i) cell
(aref tails i) cell))
(setf (aref result 0) nil)
(loop for divisor from 2 to max
do (loop for number from divisor to max by divisor
do (setf (cdr (aref tails number)) (list divisor)
(aref tails number) (cdr (aref tails number)))))
result))
(declaim (ftype (function * (values (simple-array t (*)) &optional))
%make-divisors-vector-table))
(defun %make-divisors-vector-table (max)
"Returns a vector of length MAX+1 whose each cell, vector[X], is a vector
containing all the divisors of X in ascending order. Time and space complexity
is O(Nlog(N)). Note that vector[0] = #()."
(declare (optimize (speed 3))
(uint max))
(let ((counter (make-array (+ max 1) :element-type 'uint :initial-element 1))
(res (make-array (+ max 1) :element-type t)))
(loop for d from 2 to max
do (loop for x from d to max by d
do (incf (aref counter x))))
(setf (aref res 0) (make-array 0 :element-type 'uint))
(loop for i from 1 to max
for vector = (make-array (aref counter i) :element-type 'uint)
do (setf (aref vector 0) 1
(aref res i) vector
(aref counter i) 1))
(loop for d from 2 to max
do (loop for x from d to max by d
for end = (aref counter x)
for vector of-type (simple-array uint (*)) = (aref res x)
do (setf (aref counter x) (+ end 1)
(aref vector end) d)))
res))
(declaim (ftype (function * (values (simple-array t (*)) &optional))
make-divisors-table))
(defun make-divisors-table (max sequence-type)
"Returns a vector of length MAX+1 whose each cell, vector[X], is a vector or
list containing all the divisors of X in ascending order. Time complexity is
O(Nlog(N)). Note that vector[0] is an empty sequence."
(declare ((member list vector) sequence-type))
(ecase sequence-type
(list (%make-divisors-list-table max))
(vector (%make-divisors-vector-table max))))
;; BEGIN_USE_PACKAGE
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/divisor-table :cl-user))
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/mod-operations :cl-user))
(in-package :cl-user)
;;;
;;; Body
;;;
(defun main ()
(declare (optimize (speed 3)))
(let* ((m (read))
(dp (make-array (+ m 1) :element-type 'uint31 :initial-element 0))
(divs (make-divisors-table m 'list)))
(declare (uint31 m))
(setf (aref dp m) 1)
(loop for x from m downto 1
for val = (aref dp x)
do (dolist (div (aref divs x))
(declare (uint31 div))
(incfmod (aref dp (- div 1)) val)))
(println (aref dp 0))))
#-swank (main)
;;;
;;; Test
;;;
#+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/1581"))
#+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 sb-c::*undefined-warnings*
(error "undefined warnings: ~{~A~^ ~}" sb-c::*undefined-warnings*)))
;; To run: (5am:run! :sample)
#+swank
(5am:test :sample
(5am:is
(equal "10
"
(run "6
" nil)))
(5am:is
(equal "1
"
(run "1
" nil)))
(5am:is
(equal "917384154
"
(run "82931
" nil))))