結果
問題 | No.1175 Simultaneous Equations |
ユーザー |
|
提出日時 | 2020-08-21 21:24:27 |
言語 | Common Lisp (sbcl 2.5.0) |
結果 |
AC
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実行時間 | 9 ms / 2,000 ms |
コード長 | 6,380 bytes |
コンパイル時間 | 1,352 ms |
コンパイル使用メモリ | 41,088 KB |
実行使用メモリ | 22,656 KB |
最終ジャッジ日時 | 2024-10-15 05:04:30 |
合計ジャッジ時間 | 1,909 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge3 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 2 |
other | AC * 11 |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 15 OCT 2024 05:04:27 AM): ; file: /home/judge/data/code/Main.lisp ; in: DEFUN MAIN ; (MULTIPLE-VALUE-BIND (RES RANK) ; (SOLVE-LINEAR-SYSTEM MAT (VECTOR C F)) ; (FORMAT T "~F ~F~%" (AREF RES 0) (AREF RES 1))) ; ==> ; #'(LAMBDA (&OPTIONAL RES RANK &REST #:IGNORE) ; (DECLARE (IGNORE #:IGNORE)) ; (FORMAT T "~F ~F~%" (AREF RES 0) (AREF RES 1))) ; ; caught STYLE-WARNING: ; The variable RANK is defined but never used. ; ; compilation unit finished ; caught 1 STYLE-WARNING condition ; wrote /home/judge/data/code/Main.fasl ; compilation finished in 0:00:00.091
ソースコード
(in-package :cl-user)(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)) `(values ,(read s nil nil t)))))#+swank (cl-syntax:use-syntax cl-debug-print:debug-print-syntax)(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)(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;; BEGIN_USE_PACKAGE(in-package :cl-user);;;;;; Body;;;;; Reference: http://drken1215.hatenablog.com/entry/2019/03/20/202800(defun echelon! (matrix &optional extended)"Returns the row echelon form of MATRIX by gaussian elimination and returnsthe rank as the second value.This function destructively modifies MATRIX."(labels ((%zerop (x)(< (abs x) 1d-9)))(destructuring-bind (m n) (array-dimensions matrix)(declare ((integer 0 #.most-positive-fixnum) m n))(let ((rank 0))(dotimes (target-col (if extended (- n 1) n))(let ((pivot-row (do ((i rank (+ 1 i)))((= i m) -1)(unless (%zerop (aref matrix i target-col))(return i)))))(when (>= pivot-row 0);; swap rows(loop for j from target-col below ndo (rotatef (aref matrix rank j) (aref matrix pivot-row j)))(let ((inv (/ (aref matrix rank target-col))))(dotimes (j n)(setf (aref matrix rank j)(* inv (aref matrix rank j))))(dotimes (i m)(unless (or (= i rank) (%zerop (aref matrix i target-col)))(let ((factor (aref matrix i target-col)))(loop for j from target-col below ndo (setf (aref matrix i j)(- (aref matrix i j)(* (aref matrix rank j) factor))))))))(incf rank))))(values matrix rank)))))(defun solve-linear-system (matrix vector)"Solves Ax ≡ b and returns a root vector if it exists. Otherwise it returnsNIL. In addition, this function returns the rank of A as the second value."(destructuring-bind (m n) (array-dimensions matrix)(declare ((integer 0 #.most-positive-fixnum) m n))(assert (= n (length vector)))(let ((extended (make-array (list m (+ n 1)) :element-type (array-element-type matrix))))(labels ((%zerop (x)(< (abs x) 1d-9)))(dotimes (i m)(dotimes (j n) (setf (aref extended i j) (aref matrix i j)))(setf (aref extended i n) (aref vector i)))(let ((rank (nth-value 1 (echelon! extended t))))(if (loop for i from rank below malways (%zerop (aref extended i n)))(let ((result (make-array m:element-type (array-element-type matrix):initial-element 0d0)))(dotimes (i rank)(setf (aref result i) (aref extended i n)))(values result rank))(values nil rank)))))))(defun main ()(let* ((a (float (read) 1d0))(b (float (read) 1d0))(c (float (read) 1d0))(d (float (read) 1d0))(e (float (read) 1d0))(f (float (read) 1d0))(mat (make-array '(2 2) :element-type 'double-float :initial-contents `((,a ,b) (,d ,e)))))(multiple-value-bind (res rank) (solve-linear-system mat (vector c f))(format t "~F ~F~%" (aref res 0) (aref res 1)))))#-swank (main);;;;;; Test and benchmark;;;#+swank(defun get-clipbrd ()(with-output-to-string (out)#+os-windows (run-program "powershell.exe" '("-Command" "Get-Clipboard") :output out :search t)#+os-unix (run-program "xsel" '("-b" "-o") :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 | pathnamenull: 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* (or out (make-string-output-stream)))(res (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))))))(if out res (get-output-stream-string *standard-output*))))#+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)));; To run: (5am:run! :sample)#+swank(it.bese.fiveam:test :sample(it.bese.fiveam:is(equal "1.000000000000000 1.000000000000000"(run "1 1 2 1 2 3" nil)))(it.bese.fiveam:is(equal "2.666666666666667 -0.333333333333333"(run "2 1 5 1 2 2" nil))))