結果
| 問題 |
No.898 tri-βutree
|
| コンテスト | |
| ユーザー |
 sansaqua
|
| 提出日時 | 2019-10-04 22:03:29 |
| 言語 | Common Lisp (sbcl 2.5.0) |
| 結果 |
RE
|
| 実行時間 | - |
| コード長 | 9,631 bytes |
| コンパイル時間 | 1,243 ms |
| コンパイル使用メモリ | 48,164 KB |
| 実行使用メモリ | 53,240 KB |
| 最終ジャッジ日時 | 2024-10-03 07:39:31 |
| 合計ジャッジ時間 | 3,868 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge4 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 |
| other | RE * 21 |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 03 OCT 2024 07:39:26 AM): ; file: /home/judge/data/code/Main.lisp ; in: DEFUN BUILD-LCA-TABLE ; (AREF GRAPH V) ; ; note: unable to ; optimize ; because: ; Upgraded element type of array is not known at compile time. ; ; compilation unit finished ; printed 1 note ; wrote /home/judge/data/code/Main.fasl ; compilation finished in 0:00:00.073
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
(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 (ftype (function * (values fixnum &optional)) read-fixnum))
(defun read-fixnum (&optional (in *standard-input*))
(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 #\-))
(setf 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))))))))
;;;
;;; Lowest common ancestor of tree by binary lifting
;;; build: O(nlog(n))
;;; query: O(log(n))
;;;
;; PAY ATTENTION TO THE STACK SIZE! BUILD-LCA-TABLE does DFS.
(deftype lca-vertex-number () '(signed-byte 32))
(defstruct (lca-table
(:constructor make-lca-table
(size
&aux
;; requires 1 + log_2{size-1}
(max-level (+ 1 (integer-length (- size 2))))
(depths (make-array size :element-type 'lca-vertex-number))
(parents (make-array (list size max-level)
:element-type 'lca-vertex-number))
(weights (make-array size :element-type '(unsigned-byte 62)
:initial-element 0))))
(:conc-name lca-))
(max-level nil :type (integer 0 #.most-positive-fixnum))
(depths nil :type (simple-array lca-vertex-number (*)))
(parents nil :type (simple-array lca-vertex-number (* *)))
(weights nil :type (simple-array (unsigned-byte 62) (*))))
(defun build-lca-table (root graph)
"GRAPH := vector of adjacency lists"
(declare (optimize (speed 3))
(vector graph))
(let* ((size (length graph))
(lca-table (make-lca-table size))
(depths (lca-depths lca-table))
(weights (lca-weights lca-table))
(parents (lca-parents lca-table))
(max-level (lca-max-level lca-table)))
(labels ((dfs (v prev-v depth weight)
(declare (lca-vertex-number v prev-v)
(uint62 weight))
(setf (aref depths v) depth)
(setf (aref weights v) weight)
(setf (aref parents v 0) prev-v)
(dolist (node (aref graph v))
(let ((dest (car node))
(dweight (cdr node)))
(declare (lca-vertex-number dest)
(uint62 dweight))
(unless (= dest prev-v)
(dfs dest v (+ 1 depth) (+ weight dweight)))))))
(dfs root -1 0 0)
(dotimes (k (- max-level 1))
(dotimes (v size)
(if (= -1 (aref parents v k))
(setf (aref parents v (+ k 1)) -1)
(setf (aref parents v (+ k 1)) (aref parents (aref parents v k) k)))))
lca-table)))
(defun get-lca (u v lca-table)
"Returns the lowest common ancestor of the vertices U and V."
(declare (optimize (speed 3))
(lca-vertex-number u v))
(let* ((depths (lca-depths lca-table))
(parents (lca-parents lca-table))
(max-level (lca-max-level lca-table)))
;; Ensures depth[u] <= depth[v]
(when (> (aref depths u) (aref depths v)) (rotatef u v))
(dotimes (k max-level)
(when (logbitp k (- (aref depths v) (aref depths u)))
(setf v (aref parents v k))))
(if (= u v)
u
(loop for k from (- max-level 1) downto 0
unless (= (aref parents u k) (aref parents v k))
do (setf u (aref parents u k)
v (aref parents v k))
finally (return (aref parents u 0))))))
(declaim (inline distance-on-tree))
(defun distance-on-tree (u v lca-table)
"Returns the distance of U and V."
(declare (optimize (speed 3)))
(let ((weights (lca-depths lca-table))
(lca (get-lca u v lca-table)))
(+ (- (aref weights u) (aref weights lca))
(- (aref weights v) (aref weights lca)))))
(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))))
(defconstant +mod+ 1000000007)
;;;
;;; Body
;;;
(defun main ()
(let* ((n (read))
;; to . weight
(graph (make-array n :element-type 'list :initial-element nil)))
(dotimes (i (- n 1))
(let ((u (read-fixnum))
(v (read-fixnum))
(w (read-fixnum)))
(push (cons u w) (aref graph v))
(push (cons v w) (aref graph u))))
(let ((table (build-lca-table 0 graph))
(q (read)))
(labels ((calc-dist (u v)
(let ((weights (lca-weights table))
(lca (get-lca u v table)))
(- (+ (aref weights u)
(aref weights v))
(* 2 (aref weights lca))))))
(dotimes (_ q)
(let ((x (read-fixnum))
(y (read-fixnum))
(z (read-fixnum)))
(let* ((lca-xy (get-lca x y table))
(lca-yz (get-lca y z table))
(lca-zx (get-lca z x table))
(shallow (min lca-xy lca-yz lca-zx)))
;; xyのlcaを一番浅くする
(cond ((= shallow lca-yz)
(rotatef x z))
((= shallow lca-zx)
(rotatef z y)))
(let ((base-weight (calc-dist x y))
(lca-xy (get-lca x y table))
(lca-yz (get-lca y z table))
(lca-zx (get-lca z x table)))
(assert (or (= lca-xy lca-yz)
(= lca-xy lca-zx)))
(cond ((/= lca-xy lca-yz)
(println (+ base-weight
(calc-dist z lca-yz))))
((/= lca-xy lca-zx)
(println (+ base-weight
(calc-dist z lca-zx))))
(t (println base-weight)))))))))))
#-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)))