結果
| 問題 |
No.4 おもりと天秤
|
| コンテスト | |
| ユーザー |
 sansaqua
|
| 提出日時 | 2020-10-27 03:27:00 |
| 言語 | Common Lisp (sbcl 2.5.0) |
| 結果 |
AC
|
| 実行時間 | 11 ms / 5,000 ms |
| コード長 | 12,651 bytes |
| コンパイル時間 | 211 ms |
| コンパイル使用メモリ | 48,624 KB |
| 実行使用メモリ | 32,788 KB |
| 最終ジャッジ日時 | 2024-07-21 21:49:17 |
| 合計ジャッジ時間 | 1,149 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge3 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| other | AC * 23 |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 21 JUL 2024 09:49:15 PM): ; wrote /home/judge/data/code/Main.fasl ; compilation finished in 0:00:00.064
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* 'double-float))
(prog1 (princ obj stream) (terpri stream))))
;; BEGIN_INSERTED_CONTENTS
(defpackage :cp/bit-basher
(:use :cl)
(:export #:bit-not! #:bit-fill! #:bit-count #:bit-lshift #:bit-rshift #:bit-shift))
(in-package :cp/bit-basher)
;;;
;;; Complement to the bitwise operations in ANSI CL
;;;
(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,
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,
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))
;; BEGIN_USE_PACKAGE
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/bit-basher :cl-user))
(in-package :cl-user)
;;;
;;; Body
;;;
(defun main ()
(let* ((n (read))
(dp (make-array 10001 :element-type 'bit :initial-element 0))
(new-dp (make-array 10001 :element-type 'bit :initial-element 0))
(sum 0))
(setf (aref dp 0) 1)
(dotimes (_ n)
(let ((w (read)))
(incf sum w)
(bit-lshift dp w new-dp)
(bit-ior dp new-dp t)))
(write-line (if (and (evenp sum) (= 1 (aref dp (ash sum -1))))
"possible"
"impossible"))))
#-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*))
(defparameter *dat-pathname* (uiop:merge-pathnames* "test.dat" *lisp-file-pathname*))
(defparameter *problem-url* "https://yukicoder.me/problems/no/4"))
#+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)))
#-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 "possible
"
(run "3
1 2 3
" nil)))
(5am:is
(equal "impossible
"
(run "5
1 2 3 4 5
" nil)))
(5am:is
(equal "impossible
"
(run "15
62 8 90 2 24 62 38 64 76 60 30 76 80 74 72
" nil))))