結果
| 問題 | No.898 tri-βutree |
| ユーザー |
 sansaqua
|
| 提出日時 | 2019-10-04 22:43:43 |
| 言語 | Common Lisp (sbcl 2.3.8) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 8,634 bytes |
| コンパイル時間 | 208 ms |
| コンパイル使用メモリ | 44,160 KB |
| 実行使用メモリ | 51,072 KB |
| 最終ジャッジ日時 | 2024-10-03 08:13:51 |
| 合計ジャッジ時間 | 10,433 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge4 |
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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 | 298 ms
51,072 KB |
| testcase_01 | AC | 21 ms
24,960 KB |
| testcase_02 | WA | - |
| testcase_03 | WA | - |
| testcase_04 | WA | - |
| testcase_05 | WA | - |
| testcase_06 | WA | - |
| testcase_07 | WA | - |
| testcase_08 | WA | - |
| testcase_09 | WA | - |
| testcase_10 | WA | - |
| testcase_11 | WA | - |
| testcase_12 | WA | - |
| testcase_13 | WA | - |
| testcase_14 | WA | - |
| testcase_15 | WA | - |
| testcase_16 | WA | - |
| testcase_17 | WA | - |
| testcase_18 | WA | - |
| testcase_19 | WA | - |
| testcase_20 | WA | - |
| testcase_21 | WA | - |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 03 OCT 2024 08:13:40 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. ; in: DEFUN MAIN ; (LCA-XY (GET-LCA X Y TABLE)) ; ; caught STYLE-WARNING: ; The variable LCA-XY is defined but never used. ; ; compilation unit finished ; caught 1 STYLE-WARNING condition ; printed 1 note ; wrote /home/judge/data/code/Main.fasl ; compilation finished in 0:00:00.086
ソースコード
#-swank
(unless (member :child-sbcl *features*)
(quit
:unix-status
(process-exit-code
(run-program *runtime-pathname*
`("--control-stack-size" "256MB"
"--noinform" "--disable-ldb" "--lose-on-corruption" "--end-runtime-options"
"--eval" "(push :child-sbcl *features*)"
"--script" ,(namestring *load-pathname*))
:output t :error t :input t))))
;; -*- 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*))
(declare #.OPT)
(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))
(depths (lca-depths table))
(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)
(println
(let* ((x (read-fixnum))
(y (read-fixnum))
(z (read-fixnum))
(lca-xy (get-lca x y table))
(lca-yz (get-lca y z table))
(lca-zx (get-lca z x table))
(shallow (min (aref depths lca-xy)
(aref depths lca-yz)
(aref depths lca-zx))))
(if (= (aref depths lca-xy)
(aref depths lca-yz)
(aref depths lca-zx))
(max (calc-dist x y)
(calc-dist y z)
(calc-dist z x))
(progn
(cond ((= shallow (aref depths lca-yz))
(rotatef x z))
((= shallow (aref depths lca-zx))
(rotatef y z)))
(let ((lca-xy (get-lca x y table))
(lca-yz (get-lca y z table))
(lca-zx (get-lca z x table)))
(cond ((/= shallow (aref depths lca-yz))
;; yzのlcaが深い
(+ (calc-dist x y)
(calc-dist z lca-yz)))
((/= shallow (aref depths lca-zx))
;; zxのlcaが深い
(+ (calc-dist x y)
(calc-dist z lca-zx)))
(t (error "Huh?")))))))))))))
#-swank (main)