結果

問題 No.978 Fibonacci Convolution Easy
ユーザー sansaquasansaqua
提出日時 2020-01-31 21:55:07
言語 Common Lisp
(sbcl 2.3.8)
結果
AC  
実行時間 422 ms / 2,000 ms
コード長 5,204 bytes
コンパイル時間 176 ms
コンパイル使用メモリ 46,412 KB
実行使用メモリ 84,932 KB
最終ジャッジ日時 2023-10-19 01:02:09
合計ジャッジ時間 4,752 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge13
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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 17 ms
33,520 KB
testcase_01 AC 183 ms
84,920 KB
testcase_02 AC 100 ms
68,344 KB
testcase_03 AC 408 ms
84,932 KB
testcase_04 AC 118 ms
76,536 KB
testcase_05 AC 34 ms
41,712 KB
testcase_06 AC 157 ms
84,920 KB
testcase_07 AC 272 ms
84,932 KB
testcase_08 AC 194 ms
84,920 KB
testcase_09 AC 308 ms
84,932 KB
testcase_10 AC 422 ms
84,932 KB
testcase_11 AC 137 ms
84,920 KB
testcase_12 AC 31 ms
39,664 KB
testcase_13 AC 157 ms
84,920 KB
testcase_14 AC 52 ms
47,860 KB
testcase_15 AC 174 ms
84,920 KB
testcase_16 AC 422 ms
84,932 KB
testcase_17 AC 421 ms
84,932 KB
testcase_18 AC 11 ms
30,100 KB
testcase_19 AC 11 ms
30,100 KB
testcase_20 AC 11 ms
30,100 KB
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コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 18 OCT 2023 04:02:03 PM):

; file: /home/judge/data/code/Main.lisp
; in: DEFUN MOD-INVERSE
;     (+ U MODULUS)
; 
; note: deleting unreachable code

; in: DEFUN MAIN
;     (INCFMOD CUMUL NEW-A)
; --> SETQ THE (LAMBDA (X Y) (MOD (+ X Y) +MOD+)) SB-C::%FUNCALL MOD 
; ==>
;   (+ X Y)
; 
; note: unable to
;   optimize
; due to type uncertainty:
;   The second argument is a NUMBER, not a SINGLE-FLOAT.
;   The result is a (VALUES REAL &OPTIONAL), not a (VALUES SINGLE-FLOAT &REST T).
; 
; note: unable to
;   optimize
; due to type uncertainty:
;   The second argument is a NUMBER, not a DOUBLE-FLOAT.

; ==>
;   1
; 
; note: unable to
;   optimize
; due to type uncertainty:
;   The first argument is a REAL, not a SINGLE-FLOAT.
; 
; note: unable to
;   optimize
; due to type uncertainty:
;   The first argument is a REAL, not a DOUBLE-FLOAT.
; 
; note: unable to
;   optimize
; due to type uncertainty:
;   The first argument is a REAL, not a INTEGER.
; 
; note: unable to
;   convert division by 2^k to shift
; due to type uncertainty:
;   The first argument is a REAL, not a INTEGER.

;     (INCFMOD RES (MOD* NEW-A CUMUL))
; --> SETQ THE (LAMBDA (X Y) (MOD (+ X Y) +MOD+)) SB-C::%FUNCALL MOD 
; ==>
;   (+ X Y)
; 
; note: unable to
;   optimize
; due to type uncertainty:
;   The second argument is a NUMBER, not a SINGLE-FLOAT.
;   The result is a (VALUES REAL &OPTIONAL), not a (VALUES SINGLE-FLOAT &REST T).
; 
; note: unable to
;   optimize
; due to type uncertainty:
;   The second argument is a NUMBER, not a DOUBLE-FLOAT.

; ==>
;   1
; 
; note: unable to
;   optimize
; due to type uncertainty:
;   The first argument is a REAL, not a SINGLE-FLOAT.
; 
; note: unable to
;   optimize
; due to type uncertainty:
;   The first argument is a REAL, not a DOUBLE-FLOAT.
; 
; note: unable to
;   optimize
; due to type uncertainty:
;   The first argument is a REAL, not a INTEGER.
; 
; note: unable to
;   convert division by 2^k to sh

ソースコード

diff # 

(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
           ;; enclose the form with VALUES to avoid being captured by LOOP macro
           #\# #\> (lambda (s c p) (declare (ignore c p)) `(values ,(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
;;;
;;; Arithmetic operations with static modulus
;;;

;; FIXME: Currently MOD* and MOD+ doesn't apply MOD when the number of
;; parameters is one.
(defmacro define-mod-operations (divisor)
  `(progn
     (defun mod* (&rest args)
       (reduce (lambda (x y) (mod (* x y) ,divisor)) args))

     (sb-c:define-source-transform mod* (&rest args)
       (if (null args)
           1
           (reduce (lambda (x y) `(mod (* ,x ,y) ,',divisor)) args)))

     (defun mod+ (&rest args)
       (reduce (lambda (x y) (mod (+ x y) ,divisor)) args))

     (sb-c:define-source-transform mod+ (&rest args)
       (if (null args)
           0
           (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)))))

(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
;;;

(define-mod-operations +mod+)

(defun mod-inverse (a modulus)
  (declare ((integer 1 #.most-positive-fixnum) modulus))
  (let ((a (mod a modulus))
        (b modulus)
        (u 1)
        (v 0))
    (declare (fixnum a b u v))
    (loop until (zerop b)
          for quot = (floor a b)
          do (decf a (the fixnum (* quot b)))
             (rotatef a b)
             (decf u (the fixnum (* quot v)))
             (rotatef u v))
    (setq u (mod u modulus))
    (if (< u 0)
        (+ u modulus)
        u)))

(defun main ()
  (declare #.OPT)
  (let* ((n (read))
         (p (read))
         (a-2 (mod (- p) +mod+))
         (a-1 1)
         (cumul 0)
         (res 0))
    (declare (uint31 n p a-2 a-1 cumul res))
    (dotimes (i n)
      (let ((new-a (mod+ (mod* p a-1) a-2)))
        (incfmod cumul new-a)
        (incfmod res (mod* new-a cumul))
        (psetq a-2 a-1
               a-1 new-a)))
    (println res)))

#-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 "powershell.exe" '("-Command" "Get-Clipboard") :output out :search t)))

#+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)))
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