結果
| 問題 | No.1443 Andd |
| コンテスト | |
| ユーザー |
 sansaqua
|
| 提出日時 | 2021-03-26 23:03:48 |
| 言語 | Common Lisp (sbcl 2.5.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 16,384 bytes |
| コンパイル時間 | 223 ms |
| コンパイル使用メモリ | 56,316 KB |
| 実行使用メモリ | 68,152 KB |
| 最終ジャッジ日時 | 2024-11-29 01:11:24 |
| 合計ジャッジ時間 | 18,400 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge2 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 15 TLE * 5 |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 29 NOV 2024 01:11:04 AM): ; wrote /home/judge/data/code/Main.fasl ; compilation finished in 0:00:00.106
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*))
#+sbcl (setq *random-state* (seed-random-state (nth-value 1 (get-time-of-day)))))
#-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/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"
(declare #.cl-user::*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 #\-))
(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/bit-basher
(:use :cl)
(:export #:bit-not! #:bit-fill! #:bit-count #:bit-lshift #:bit-rshift #:bit-shift)
(:documentation "Provides several operations on bit vector that are not
included in the standard."))
(in-package :cp/bit-basher)
(eval-when (:compile-toplevel :load-toplevel :execute)
(assert (= sb-vm:n-word-bits 64)))
;; KLUDGE: a variant of DPB that handles a 64-bit word efficiently
(defmacro u64-dpb (new spec int)
(destructuring-bind (byte s p) spec
(assert (eql 'byte byte))
(let ((size (gensym)) (posn (gensym)) (mask (gensym)))
`(let* ((,size ,s)
(,posn ,p)
(,mask (ldb (byte ,size 0) -1)))
(logior (the (unsigned-byte 64) (ash (logand ,new ,mask) ,posn))
(the (unsigned-byte 64) (logand ,int (lognot (ash ,mask ,posn)))))))))
(defconstant +most-positive-word+ (ldb (byte 64 0) -1))
(defun bit-not! (sb-vector &optional (start 0) end)
"Destructively flips the bits in the range [START, END)."
(declare (optimize (speed 3))
(simple-bit-vector sb-vector)
((mod #.array-total-size-limit) start)
((or null (mod #.array-total-size-limit)) end))
(setq end (or end (length sb-vector)))
(assert (<= start end (length sb-vector)))
(multiple-value-bind (start/64 start%64) (floor start 64)
(multiple-value-bind (end/64 end%64) (floor end 64)
(declare (optimize (safety 0)))
(if (= start/64 end/64)
(setf (sb-kernel:%vector-raw-bits sb-vector start/64)
(u64-dpb (ldb (byte (- end%64 start%64) start%64)
(logxor +most-positive-word+ (sb-kernel:%vector-raw-bits sb-vector start/64)))
(byte (- end%64 start%64) start%64)
(sb-kernel:%vector-raw-bits sb-vector start/64)))
(progn
(setf (sb-kernel:%vector-raw-bits sb-vector start/64)
(dpb (sb-kernel:%vector-raw-bits sb-vector start/64)
(byte start%64 0)
(logxor +most-positive-word+ (sb-kernel:%vector-raw-bits sb-vector start/64))))
(loop for i from (+ 1 start/64) below end/64
do (setf (sb-kernel:%vector-raw-bits sb-vector i)
(logxor +most-positive-word+ (sb-kernel:%vector-raw-bits sb-vector i))))
(unless (zerop end%64)
(setf (sb-kernel:%vector-raw-bits sb-vector end/64)
(dpb (logxor +most-positive-word+ (sb-kernel:%vector-raw-bits sb-vector end/64))
(byte end%64 0)
(sb-kernel:%vector-raw-bits sb-vector end/64))))))))
sb-vector)
(declaim (ftype (function * (values simple-bit-vector &optional)) bit-fill!))
(defun bit-fill! (sb-vector bit &optional (start 0) end)
"Destructively sets the bits in the range [START, END) to BIT."
(declare (optimize (speed 3))
(simple-bit-vector sb-vector)
(bit bit)
((mod #.array-total-size-limit) start)
((or null (mod #.array-total-size-limit)) end))
(setq end (or end (length sb-vector)))
(assert (<= start end (length sb-vector)))
(let ((mask (if (zerop bit) 0 +most-positive-word+)))
(multiple-value-bind (start/64 start%64) (floor start 64)
(multiple-value-bind (end/64 end%64) (floor end 64)
(if (= start/64 end/64)
(setf (sb-kernel:%vector-raw-bits sb-vector start/64)
(u64-dpb (ldb (byte (- end%64 start%64) 0) mask)
(byte (- end%64 start%64) start%64)
(sb-kernel:%vector-raw-bits sb-vector start/64)))
(progn
(setf (sb-kernel:%vector-raw-bits sb-vector start/64)
(u64-dpb (sb-kernel:%vector-raw-bits sb-vector start/64)
(byte start%64 0)
mask))
(loop for i from (+ 1 start/64) below end/64
do (setf (sb-kernel:%vector-raw-bits sb-vector i) mask))
(unless (zerop end%64)
(setf (sb-kernel:%vector-raw-bits sb-vector end/64)
(dpb mask
(byte end%64 0)
(sb-kernel:%vector-raw-bits sb-vector end/64)))))))))
sb-vector)
;; (count 1 simple-bit-vector) is sufficiently fast on SBCL when handling whole
;; vector. If START or END are specified, however, it is slow as the
;; deftransform for COUNT doesn't work. See
;; https://github.com/sbcl/sbcl/blob/cd7af0d5b15e98e21ace8ef164e0f39019e5ed4b/src/compiler/generic/vm-tran.lisp#L484-L527
(defun bit-count (sb-vector &optional (start 0) end)
"Counts 1's in the range [START, END)."
(declare (optimize (speed 3))
(simple-bit-vector sb-vector)
((mod #.array-total-size-limit) start)
((or null (mod #.array-total-size-limit)) end))
(setq end (or end (length sb-vector)))
(assert (<= start end (length sb-vector)))
(multiple-value-bind (start/64 start%64) (floor start 64)
(multiple-value-bind (end/64 end%64) (floor end 64)
(declare (optimize (safety 0)))
(if (= start/64 end/64)
(logcount (ldb (byte (- end%64 start%64) start%64)
(sb-kernel:%vector-raw-bits sb-vector start/64)))
(let ((result 0))
(declare ((mod #.array-total-size-limit) result))
(incf result (logcount (ldb (byte (- 64 start%64) start%64)
(sb-kernel:%vector-raw-bits sb-vector start/64))))
(loop for i from (+ 1 start/64) below end/64
do (incf result (logcount (sb-kernel:%vector-raw-bits sb-vector i))))
(unless (zerop end%64)
(incf result (logcount (ldb (byte end%64 0)
(sb-kernel:%vector-raw-bits sb-vector end/64)))))
result)))))
(declaim (ftype (function * (values simple-bit-vector &optional)) bit-lshift))
(defun bit-lshift (bit-vector delta &optional result-vector end)
"Left-shifts BIT-VECTOR by DELTA bits and fills the new bits with zero.
The behaviour is the same as the bit-wise operations in ANSI CL: The result is
copied to RESULT-VECTOR; if it is T, BIT-VECTOR is destructively modified; if it
is NIL, a new bit-vector of the same length is created. If END is specified,
this function shifts only the range [0, END) of BIT-VECTOR and copies it to the
range [0, END+DELTA) of RESULT-VECTOR.
Note that here `left' means the direction from a smaller index to a larger one
and is contrary to the `visual' direction: i.e. (bit-lshift #*1011000 2) |->
#*0010110."
(declare (optimize (speed 3))
(simple-bit-vector bit-vector)
((or null (eql t) simple-bit-vector) result-vector)
((mod #.array-total-size-limit) delta)
((or null (mod #.array-total-size-limit)) end))
(setq result-vector
(etypecase result-vector
(null (make-array (length bit-vector) :element-type 'bit :initial-element 0))
((eql t) bit-vector)
(simple-bit-vector result-vector)))
(setq end (or end (length bit-vector)))
(assert (<= end (length bit-vector)))
(replace result-vector bit-vector :start1 (min (length result-vector) delta)
:start2 0 :end2 end)
(bit-fill! result-vector 0 0 (min delta (length result-vector))))
(declaim (ftype (function * (values simple-bit-vector &optional)) bit-rshift))
(defun bit-rshift (bit-vector delta &optional result-vector)
"Right-shifts BIT-VECTOR by DELTA bits and fills the new bits with zero.
The behaviour is the same as the bit-wise operations in ANSI CL: The result is
copied to RESULT-VECTOR; if it is T, BIT-VECTOR is destructively modified; if it
is NIL, a new bit-vector of the same length is created.
Note that here `right' means the direction from a larger index to a smaller one
and is contrary to the `visual' direction: i.e. (bit-rshift #*1011000 2) |->
#*1100000."
(declare (optimize (speed 3))
(simple-bit-vector bit-vector)
((or null (eql t) simple-bit-vector) result-vector)
((mod #.array-total-size-limit) delta))
(setq result-vector
(etypecase result-vector
(null (make-array (length bit-vector) :element-type 'bit :initial-element 0))
((eql t) bit-vector)
(simple-bit-vector result-vector)))
(replace result-vector bit-vector :start2 (min delta (length bit-vector)))
(bit-fill! result-vector 0
(min (max 0 (- (length bit-vector) delta)) (length result-vector))))
;; not tested
(declaim (ftype (function * (values simple-bit-vector &optional)) bit-shift))
(defun bit-shift (bit-vector delta &optional result-vector)
(declare (optimize (speed 3))
(simple-bit-vector bit-vector)
((or null (eql t) simple-bit-vector) result-vector)
((integer #.(- array-total-size-limit) #.array-total-size-limit) delta))
(if (>= delta 0)
(bit-lshift bit-vector delta result-vector)
(bit-rshift bit-vector (- delta) result-vector)))
;; (defun bit-rotate (bit-vector delta &optional result-vector)
;; (declare (optimize (speed 3))
;; ((mod #.array-total-size-limit) delta)
;; (simple-bit-vector bit-vector)
;; ((or null simple-bit-vector) result-vector))
;; (assert (not (eql bit-vector result-vector)))
;; (let* ((end (length bit-vector))
;; (result-vector (or result-vector (make-array end :element-type 'bit)))
;; (delta (mod delta end)))
;; :unfinished))
(defpackage :cp/tzcount
(:use :cl)
(:export #:tzcount))
(in-package :cp/tzcount)
(declaim (inline tzcount))
(defun tzcount (x)
"Returns the number of trailing zero bits. Note that (TZCOUNT 0) = -1."
(- (integer-length (logand x (- x))) 1))
(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/tzcount :cl-user))
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/bit-basher :cl-user))
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/read-fixnum :cl-user))
(in-package :cl-user)
;;;
;;; Body
;;;
(defun main ()
(declare #.*opt*)
(let* ((n (read))
(table (make-array #.(* 20000 1024) :element-type 'bit :initial-element 0))
(tmp (make-array #.(* 20000 1024) :element-type 'bit :initial-element 0))
(mask #+swank (make-array 1024 :element-type 'bit :initial-element 0)
#-swank (sb-int:make-static-vector 1024 :element-type 'bit :initial-element 0))
(prev-res 1)
(sum 0))
(declare (uint31 n sum prev-res)
(simple-bit-vector table tmp mask))
(setf (aref table 0) 1)
(write-string
(with-output-to-string (*standard-output* nil :element-type 'base-char)
(dotimes (i n)
(fill mask 0)
(let* ((a (read-fixnum))
(maxb (ceiling (+ sum 1) 1024)))
(declare (uint31 a))
(bit-lshift table a tmp (min (length tmp) (* maxb 1024)))
(let* ((next-prefix-res (the uint31 (bit-count tmp 0 1024)))
(rest (- prev-res next-prefix-res)))
(dbg prev-res next-prefix-res)
(dotimes (j maxb)
(let ((base (* j 16)))
(loop for k below 16
do (iorf (sb-kernel:%vector-raw-bits mask k)
(sb-kernel:%vector-raw-bits table (+ base k))))))
(dotimes (x (length mask))
(when (= 1 (aref mask x))
(iorf (aref tmp (logand x a)) 1)))
(incf sum a)
(let ((res (+ rest (the uint31 (bit-count tmp 0 1024)))))
(println res)
(setq prev-res res))
(rotatef table tmp))))))))
#-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/1443"))
#+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 "2
3
"
(run "2
1 4
" nil)))
(5am:is
(equal "2
4
5
9
"
(run "4
30 29 16 26
" nil)))
(5am:is
(equal "2
4
6
6
9
17
22
34
60
63
"
(run "10
26 7 10 0 10 30 21 30 31 20
" nil))))