結果
| 問題 | No.915 Plus Or Multiple Operation |
| ユーザー |
 sansaqua
|
| 提出日時 | 2019-10-25 23:06:43 |
| 言語 | Common Lisp (sbcl 2.3.8) |
| 結果 |
AC
|
| 実行時間 | 9 ms / 2,000 ms |
| コード長 | 16,177 bytes |
| コンパイル時間 | 277 ms |
| コンパイル使用メモリ | 46,592 KB |
| 実行使用メモリ | 22,784 KB |
| 最終ジャッジ日時 | 2024-04-24 18:48:04 |
| 合計ジャッジ時間 | 1,016 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / 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 | 9 ms
22,656 KB |
| testcase_01 | AC | 9 ms
22,656 KB |
| testcase_02 | AC | 9 ms
22,656 KB |
| testcase_03 | AC | 9 ms
22,656 KB |
| testcase_04 | AC | 9 ms
22,656 KB |
| testcase_05 | AC | 9 ms
22,656 KB |
| testcase_06 | AC | 8 ms
22,656 KB |
| testcase_07 | AC | 8 ms
22,784 KB |
| testcase_08 | AC | 8 ms
22,656 KB |
| testcase_09 | AC | 8 ms
22,656 KB |
| testcase_10 | AC | 8 ms
22,656 KB |
| testcase_11 | AC | 9 ms
22,656 KB |
| testcase_12 | AC | 8 ms
22,656 KB |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 24 APR 2024 06:48:02 PM): ; file: /home/judge/data/code/Main.lisp ; in: DEFUN BIT-LSHIFT ; (LDB (BYTE (- 64 D%64) 0) -1) ; ; note: forced to do full call ; unable to do inline ASH (cost 3) because: ; The result is a (VALUES (INTEGER -18446744073709551616 -2) &OPTIONAL), not a (VALUES ; FIXNUM ; &OPTIONAL). ; unable to do inline ASH (cost 4) because: ; The result is a (VALUES (INTEGER -18446744073709551616 -2) &OPTIONAL), not a (VALUES ; (SIGNED-BYTE ; 64) ; &OPTIONAL). ; etc. ; ; note: forced to do full call ; unable to do inline fixnum arithmetic (cost 1) because: ; The first argument is a (INTEGER -18446744073709551616 -2), not a FIXNUM. ; The result is a (VALUES (INTEGER 1 18446744073709551615) &OPTIONAL), not a (VALUES ; FIXNUM ; &OPTIONAL). ; unable to do inline (signed-byte 64) arithmetic (cost 2) because: ; The first argument is a (INTEGER -18446744073709551616 -2), not a (SIGNED-BYTE ; 64). ; The result is a (VALUES (INTEGER 1 18446744073709551615) &OPTIONAL), not a (VALUES ; (SIGNED-BYTE ; 64) ;
ソースコード
;; -*- coding: utf-8 -*-
(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)) (read s nil nil t))))
#+swank (cl-syntax:use-syntax cl-debug-print:debug-print-syntax)
#-swank (disable-debugger) ; for CS Academy
;; BEGIN_INSERTED_CONTENTS
;;;
;;; Complement to the bitwise operations in CLHS
;;;
(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+ #.(- (ash 1 64) 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)
((integer 0 #.most-positive-fixnum) start)
((or null (integer 0 #.most-positive-fixnum)) 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)
;; (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 transformer
;; 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)
((integer 0 #.most-positive-fixnum) start)
((or null (integer 0 #.most-positive-fixnum)) 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 ((integer 0 #.most-positive-fixnum) 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)))))
;; unfinished
;; (defun bit-shift (bit-vector delta &optional result-vector)
;; "Shifts BIT-VECTOR by DELTA bits and fills the new bits with zero. Positive
;; DELTA means left-shifting and negative DELTA means right-shifting.
;; The behaviour is the same as the bit-wise operations in CLHS: 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."
;; (declare (simple-bit-vector bit-vector)
;; ((or null (eql t) simple-bit-vector) result-vector)
;; (fixnum 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)))
;; (when (>= delta 0)
;; (return-from bit-shift (bit-lshift bit-vector delta result-vector)))
;; (let* ((delta (- delta))
;; (end (length bit-vector)))
;; (unless (zerop end)
;; (multiple-value-bind (d/64 d%64) (floor delta 64)
;; (multiple-value-bind (end/64 end%64) (floor end 64)
;; ;; process the initial word separately
;; (when (and (> d%64 0) (< d/64 (ceiling end 64)))
;; (setf (ldb (byte (- 64 d%64) 0)
;; (sb-kernel:%vector-raw-bits result-vector 0))
;; (ldb (byte (- 64 d%64) d%64)
;; (sb-kernel:%vector-raw-bits bit-vector d/64))))
;; (do ((i (ceiling delta 64) (+ i 1)))
;; ((>= i end/64))
;; (setf (ldb (byte d%64 (- 64 d%64))
;; (sb-kernel:%vector-raw-bits result-vector (- i d/64 1)))
;; (ldb (byte d%64 0)
;; (sb-kernel:%vector-raw-bits bit-vector i)))
;; (setf (ldb (byte (- 64 d%64) 0)
;; (sb-kernel:%vector-raw-bits result-vector (- i d/64)))
;; (ldb (byte (- 64 d%64) d%64)
;; (sb-kernel:%vector-raw-bits bit-vector i))))
;; ;; process the last word separately
;; (unless (zerop end%64)
;; (setf (ldb (byte d%64 (- 64 d%64))
;; (sb-kernel:%vector-raw-bits result-vector (- end/64 d/64 1)))
;; (ldb (byte (min d%64 end%64) 0)
;; (sb-kernel:%vector-raw-bits bit-vector end/64)))
;; (setf (ldb (byte (- 64 d%64) 0)
;; (sb-kernel:%vector-raw-bits result-vector (- end/64 d/64)))
;; (ldb (byte (max 0 (- end%64 d%64)) d%64)
;; (sb-kernel:%vector-raw-bits bit-vector end/64)))))))
;; result-vector))
;; TODO: right shift
(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 CLHS: 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)
((integer 0 #.most-positive-fixnum) delta)
((or null (integer 0 #.most-positive-fixnum)) 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)))
(setq end (min end (max 0 (- (length result-vector) delta))))
(multiple-value-bind (d/64 d%64) (floor delta 64)
(declare (optimize (safety 0))
(simple-bit-vector result-vector))
(multiple-value-bind (end/64 end%64) (floor end 64)
;; process the last word separately
(unless (zerop end%64)
(let ((word (sb-kernel:%vector-raw-bits bit-vector end/64)))
(setf (sb-kernel:%vector-raw-bits result-vector (+ end/64 d/64))
(u64-dpb word
(byte (min end%64 (- 64 d%64)) d%64)
(sb-kernel:%vector-raw-bits result-vector (+ end/64 d/64))))
(when (> end%64 (- 64 d%64))
(setf (ldb (byte (- end%64 (- 64 d%64)) 0)
(sb-kernel:%vector-raw-bits result-vector (+ 1 end/64 d/64)))
(ldb (byte (- end%64 (- 64 d%64)) (- 64 d%64)) word)))))
;; Body. We avoid LDB and DPB here for efficiency, though this seems to
;; be somewhat incomprehensible...
(let* ((mask0 (ldb (byte 64 0) (lognot (ldb (byte d%64 0) -1))))
(mask1-lo (ldb (byte (- 64 d%64) 0) -1))
(mask1-hi (ldb (byte 64 0) (lognot (ash mask1-lo d%64)))))
(declare ((unsigned-byte 64) mask0 mask1-lo mask1-hi))
(do ((i (- end/64 1) (- i 1)))
((< i 0))
(let ((word (sb-kernel:%vector-raw-bits bit-vector i))
(i+d/64 (+ i d/64)))
(declare ((unsigned-byte 64) word)
((mod #.most-positive-fixnum) i+d/64))
(setf (sb-kernel:%vector-raw-bits result-vector i+d/64)
(logior (the (unsigned-byte 64)
(ash (logand word mask1-lo) d%64))
(logand (sb-kernel:%vector-raw-bits result-vector i+d/64)
mask1-hi)))
(setf (sb-kernel:%vector-raw-bits result-vector (+ 1 i+d/64))
(logior (ash word (- d%64 64))
(logand (sb-kernel:%vector-raw-bits result-vector (+ 1 i+d/64))
mask0))))))
;; zero padding
(when (< d/64 (ceiling (length result-vector) 64))
(setf (ldb (byte d%64 0) (sb-kernel:%vector-raw-bits result-vector d/64)) 0))
;; REVIEW: May we set the last word of a bit vector to zero beyond the
;; actual bound?
(dotimes (i (min d/64 (ceiling (length result-vector) 64)))
(setf (sb-kernel:%vector-raw-bits result-vector i) 0))
result-vector)))
;; We must implement the right shift beforehand.
;; (defun bit-rotate (bit-vector delta &optional result-vector)
;; (declare (optimize (speed 3))
;; ((integer 0 #.most-positive-fixnum) 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))
(defun bench (size sample)
(declare ((unsigned-byte 32) size sample))
(let ((seq (make-array size :element-type 'bit))
(state (sb-ext:seed-random-state 0)))
(gc :full t)
(time (loop repeat sample
sum (aref (bit-lshift seq (random 128 state)) 0) of-type bit))))
(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)))
(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)
(declaim (inline println))
(defun println (obj &optional (stream *standard-output*))
(let ((*read-default-float-format* 'double-float))
(prog1 (princ obj stream) (terpri stream))))
(defconstant +mod+ 1000000007)
;;;
;;; Body
;;;
(defun solve (a b c)
(when (= c 1)
(return-from solve -1))
(sb-int:named-let recur ((a a) (res 0))
(if (zerop a)
res
(if (<= a (- c 1))
(+ res b)
(if (<= a (* 2 (- c 1)))
(+ res b b)
(multiple-value-bind (quot rem) (floor a c)
(if (zerop rem)
(recur quot (+ res b))
(recur (- a rem) (+ res b)))))))))
(define-modify-macro minf (new-value) min)
(defun test (a c)
(let ((dp (make-array 200 :element-type 'uint32 :initial-element #xffffffff)))
(dotimes (i c)
(setf (aref dp i) 1))
(loop repeat 200
do (loop for i from 1 below (length dp)
do (unless (zerop (aref dp i))
(loop for j from 1 below c
while (< (+ i j) (length dp))
do (minf (aref dp (+ i j))
(+ 1 (aref dp i))))
(when (< (* i c) (length dp))
(minf (aref dp (* i c))
(+ 1 (aref dp i)))))))
(let ((dp2 (make-array 200)))
(setf (aref dp2 0) 1)
(loop for i from 1 below (length dp)
do (setf (aref dp2 i) (solve i 1 c)))
(values dp dp2)
(equalp dp dp2))))
(defun main ()
(let ((q (read)))
(dotimes (_ q)
(let* ((a (read))
(b (read))
(c (read)))
;; (dbg a b c)
(println (solve a b c))))))
#-swank (main)
;;;
;;; Test and benchmark
;;;
#+swank
(defun io-equal (in-string out-string &key (function #'main) (test #'equal))
"Passes IN-STRING to *STANDARD-INPUT*, executes FUNCTION, and returns true if
the string output to *STANDARD-OUTPUT* is equal to OUT-STRING."
(labels ((ensure-last-lf (s)
(if (eql (uiop:last-char s) #\Linefeed)
s
(uiop:strcat s uiop:+lf+))))
(funcall test
(ensure-last-lf out-string)
(with-output-to-string (out)
(let ((*standard-output* out))
(with-input-from-string (*standard-input* (ensure-last-lf in-string))
(funcall function)))))))
#+swank
(defun get-clipbrd ()
(with-output-to-string (out)
(run-program "C:/msys64/usr/bin/cat.exe" '("/dev/clipboard") :output out)))
#+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* out))
(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))))))
#+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)))