結果
| 問題 |
No.1212 Second Path
|
| コンテスト | |
| ユーザー |
 sansaqua
|
| 提出日時 | 2020-08-30 17:54:05 |
| 言語 | Common Lisp (sbcl 2.5.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 16,287 bytes |
| コンパイル時間 | 1,676 ms |
| コンパイル使用メモリ | 75,648 KB |
| 実行使用メモリ | 358,972 KB |
| 最終ジャッジ日時 | 2024-11-15 14:42:56 |
| 合計ジャッジ時間 | 55,631 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge4 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 4 WA * 37 TLE * 4 |
コンパイルメッセージ
; compiling file "/home/judge/data/code/Main.lisp" (written 15 NOV 2024 02:41:52 PM): ; file: /home/judge/data/code/Main.lisp ; in: DEFUN %MERGE ; (SORT CP/LCA::RES #'< :KEY #'CDR) ; --> BLOCK LET SB-IMPL::SEQ-DISPATCH IF LET SB-IMPL::STABLE-SORT-LIST BLOCK ; --> LABELS SB-IMPL::MERGE* BLOCK WHEN IF COND IF NOT ; ==> ; 1 ; ; note: unable to ; open-code FLOAT to RATIONAL comparison ; due to type uncertainty: ; The first argument is a REAL, not a SINGLE-FLOAT. ; The second argument is a REAL, not a RATIONAL. ; ; note: unable to ; open-code FLOAT to RATIONAL comparison ; due to type uncertainty: ; The first argument is a REAL, not a DOUBLE-FLOAT. ; The second argument is a REAL, not a RATIONAL. ; --> BLOCK LET SB-IMPL::SEQ-DISPATCH IF LET SB-IMPL::STABLE-SORT-LIST BLOCK ; --> LABELS SB-IMPL::MERGE* BLOCK WHEN IF COND IF IF FUNCALL ; ==> ; 1 ; ; note: unable to ; open-code FLOAT to RATIONAL comparison ; due to type uncertainty: ; The first argument is a REAL, not a SINGLE-FLOAT. ; The second argument is a REAL, not a RATIONAL. ; ; note: unable to ; open-code FLOAT to RATIONAL comparison ; due to type uncertainty: ; The first argument is a REAL, not a DOUBLE-FLOAT. ; The second argument is a REAL, not a RATIONAL. ; --> BLOCK LET SB-IMPL::SEQ-DISPATCH IF LET SB-IMPL::STABLE-SORT-LIST BLOCK ; --> LABELS SB-IMPL::RECUR BLOCK COND IF IF IF SB-IMPL::STABLE-SORT-LIST-2 ; --> BLOCK LET WHEN IF FUNCALL ; ==> ; 1 ; ; note: unable to ; open-code FLOAT to RATIONAL comparison ; due to type uncertainty: ; The first argument is a REAL, not a SINGLE-FLOAT. ; The second argument is a REAL, not a RATIONAL. ; ; note: unable to ; open-code FLOAT to RATIONAL comparison ; due to type uncertainty: ; The first argument is a REAL, not a DOUBLE-FLOAT. ; The second argument is a REAL, not a RATIONAL. ; --> BLOCK LET SB-IMPL::SEQ-DISPATCH IF LET SB-IMPL::STABLE-SORT-LIST BLOCK ; --> LABELS SB-IMPL::RECUR BLOCK COND IF IF SB-IMPL::STAB
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" "128MB"
"--noinform" "--disable-ldb" "--lose-on-corruption" "--end-runtime-options"
"--eval" "(push :child-sbcl *features*)"
"--script" ,(namestring *load-pathname*))
:output t :error t :input t))))
(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
;;;
;;; Lowest common ancestor of tree (or forest) by binary lifting
;;; build: O(nlog(n))
;;; query: O(log(n))
;;;
(defpackage :cp/lca
(:use :cl)
(:export #:lca-table #:lca-table-p
#:make-lca-table #:lca-max-level #:lca-depths #:lca-parents #:lca-query
#:two-vertices-disconnected-error #:lca-get-lca #:lca-distance))
(in-package :cp/lca)
;; PAY ATTENTION TO THE STACK SIZE! THE CONSTRUCTOR 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
:initial-element -1))
(parents (make-array (list size max-level)
:element-type 'lca-vertex-number))
(children (make-array (list size max-level)
:element-type 'lca-vertex-number
:initial-element -1))
(mins (make-array (list size max-level) :element-type 'list
:initial-element nil))))
(:conc-name lca-)
(:copier nil))
(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 (* *)))
(children nil :type (simple-array lca-vertex-number (* *)))
(mins nil :type (simple-array list (* *))))
(defun %merge (node1 node2 deleted &optional deleted2)
(declare (optimize (speed 3))
(list node1 node2)
(inline sort sb-impl::stable-sort-list))
(let ((res (delete deleted
(concatenate 'list node1 node2)
:key #'car
:test #'eq)))
(when deleted2
(setq res (delete deleted2 res :key #'car :test #'eq)))
(setq res (sort res #'< :key #'cdr))
(when (cdddr res)
(setf (cdddr res) nil))
res))
(defun make-lca-table (graph tree &key root (key #'identity))
"GRAPH := vector of adjacency lists
ROOT := null | non-negative fixnum
If ROOT is null, this function traverses each connected component of GRAPH from
an arbitrarily picked vertex. Otherwise this function traverses GRAPH only from
ROOT; GRAPH must be tree in the latter case."
(declare (optimize (speed 3))
(vector graph)
(function key)
(inline sort sb-impl::stable-sort-list)
((or null (integer 0 #.most-positive-fixnum)) root))
(let* ((size (length graph))
(lca-table (%make-lca-table size))
(depths (lca-depths lca-table))
(parents (lca-parents lca-table))
(mins (lca-mins lca-table))
(children (lca-children lca-table))
(max-level (lca-max-level lca-table)))
(labels ((dfs (v parent depth)
(declare (lca-vertex-number v parent))
(setf (aref depths v) depth
(aref parents v 0) parent)
(dolist (edge (aref graph v))
(let ((dest (funcall key edge)))
(declare (lca-vertex-number dest))
(unless (= dest parent)
(dfs dest v (+ 1 depth)))))))
(if root
(dfs root -1 0)
(dotimes (v size)
(when (= (aref depths v) -1)
(dfs v -1 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)))))
(dotimes (v size)
(let ((parent (aref parents v 0)))
(unless (= parent -1)
(setf (aref mins v 0)
(%merge (aref tree parent) (aref tree v) v)))))
(dotimes (v size)
(setf (aref children v 0) v))
(dotimes (k (- max-level 1))
(dotimes (v size)
(let ((parent (aref parents v k)))
(unless (= -1 parent)
(setf (aref children v (+ k 1)) (aref children parent k))))))
(loop for k from 0 below (- max-level 1)
do (dotimes (v size)
(let* ((parent (aref parents v k)))
(unless (= -1 parent)
(let ((merged (%merge (aref mins parent k)
(aref mins v k)
v)))
(setf (aref mins v (+ k 1)) merged))))))
lca-table)))
(define-condition two-vertices-disconnected-error (error)
((lca-table :initarg :lca-table :accessor two-vertices-disconnected-error-lca-table)
(vertex1 :initarg :vertex1 :accessor two-vertices-disconnected-error-vertex1)
(vertex2 :initarg :vertex2 :accessor two-vertices-disconnected-error-vertex2))
(:report
(lambda (c s)
(format s "~W and ~W are disconnected on lca-table ~W"
(two-vertices-disconnected-error-vertex1 c)
(two-vertices-disconnected-error-vertex2 c)
(two-vertices-disconnected-error-lca-table c)))))
(declaim (ftype (function * (values (integer 0 #.most-positive-fixnum) &optional))
lca-get-lca))
(defun lca-get-lca (lca-table vertex1 vertex2)
"Returns the lowest common ancestor of the vertices VERTEX1 and VERTEX2."
(declare (optimize (speed 3))
((and lca-vertex-number (integer 0)) vertex1 vertex2))
(let* ((u vertex1)
(v vertex2)
(depths (lca-depths lca-table))
(parents (lca-parents lca-table))
(max-level (lca-max-level lca-table)))
(declare (lca-vertex-number u v))
;; 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 (setq u (aref parents u k)
v (aref parents v k))
finally (if (= (aref parents u 0) -1)
(error 'two-vertices-disconnected-error
:lca-table lca-table
:vertex1 vertex1
:vertex2 vertex2)
(return (aref parents u 0)))))))
(defun lca-query (lca-table vertex1 vertex2)
(declare (optimize (speed 3))
((and lca-vertex-number (integer 0)) vertex1 vertex2))
(let* ((u vertex1)
(v vertex2)
(depths (lca-depths lca-table))
(parents (lca-parents lca-table))
(children (lca-children lca-table))
(mins (lca-mins lca-table))
(max-level (lca-max-level lca-table)))
(declare (lca-vertex-number u v))
;; Ensures depth[u] <= depth[v]
(when (> (aref depths u) (aref depths v))
(rotatef u v))
(let ((res-u (aref mins u 0))
(res-v (aref mins v 0)))
(dotimes (k max-level)
(when (logbitp k (- (aref depths v) (aref depths u)))
(let ((deleted-v (aref children v k))
(min-v (aref mins v k)))
(setq res-v (%merge res-v min-v deleted-v)
v (aref parents v k)))))
(when (= u v)
(return-from lca-query (car res-v)))
(cl-user::dbg res-u res-v)
(loop for k from (- max-level 1) downto 0
unless (= (aref parents u k) (aref parents v k))
do (let ((deleted-u (aref children u k))
(deleted-v (aref children v k))
(min-u (aref mins u k))
(min-v (aref mins v k)))
(setq u (aref parents u k)
v (aref parents v k)
res-u (%merge res-u min-u deleted-u)
res-v (%merge res-v min-v deleted-v)))
(cl-user::dbg k res-u res-v)
finally (if (= (aref parents u 0) -1)
(error 'two-vertices-disconnected-error
:lca-table lca-table
:vertex1 vertex1
:vertex2 vertex2)
(return (car (%merge res-u res-v u v))))))))
(declaim (inline lca-distance))
(defun lca-distance (lca-table u v)
"Returns the distance between two vertices U and V."
(declare (optimize (speed 3)))
(let ((depths (lca-depths lca-table))
(lca (lca-get-lca lca-table u v)))
(+ (- (aref depths u) (aref depths lca))
(- (aref depths v) (aref depths lca)))))
(defpackage :cp/read-fixnum
(:use :cl)
(:export #:read-fixnum))
(in-package :cp/read-fixnum)
(declaim (ftype (function * (values fixnum &optional)) read-fixnum))
(defun read-fixnum (&optional (in *standard-input*))
"NOTE: cannot read -2^62"
(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 #\-))
(setq 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))))))))
(defpackage :cp/modify-macro
(:use :cl)
(:export #:minf #:maxf #:mulf #:divf #:iorf #:xorf #:andf))
(in-package :cp/modify-macro)
(macrolet ((def (name fname)
`(define-modify-macro ,name (new-value) ,fname)))
(def minf min)
(def maxf max)
(def mulf *)
(def divf /)
(def iorf logior)
(def xorf logxor)
(def andf logand))
;; BEGIN_USE_PACKAGE
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/modify-macro :cl-user))
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/read-fixnum :cl-user))
(eval-when (:compile-toplevel :load-toplevel :execute)
(use-package :cp/lca :cl-user))
(in-package :cl-user)
;;;
;;; Body
;;;
(defun main ()
(let* ((n (read))
(graph (make-array n :element-type 'list :initial-element nil))
(tree (make-array n :element-type 'list :initial-element nil))
(parent-extras (make-array n :element-type 'uint62 :initial-element most-positive-fixnum))
(dists (make-array n :element-type 'fixnum :initial-element 0)))
(dotimes (i (- n 1))
(let ((u (- (read-fixnum) 1))
(v (- (read-fixnum) 1))
(w (read-fixnum)))
(push (cons u w) (aref graph v))
(push (cons v w) (aref graph u))))
(sb-int:named-let dfs ((v 0) (parent -1) (dist 0))
(setf (aref dists v) dist)
(loop for (child . w) in (aref graph v)
unless (= child parent)
do (push (cons child w) (aref tree v))
(setf (aref parent-extras child) w)
(dfs child v (+ dist w)))
(setf (aref tree v) (sort (aref tree v) #'< :key #'cdr)))
(let ((lca-table (make-lca-table graph tree :key #'car :root 0))
(q (read)))
#>lca-table
(write-string
(with-output-to-string (*standard-output* nil :element-type 'base-char)
(dotimes (_ q)
(let* ((x (- (read-fixnum) 1))
(y (- (read-fixnum) 1))
(lca (lca-get-lca lca-table x y))
(dist (- (+ (aref dists x) (aref dists y))
(* 2 (aref dists lca))))
(extra (cdr (lca-query lca-table x y)))
(parent-cost (aref parent-extras lca))
(min (min (or extra most-positive-fixnum) parent-cost)))
(dbg dist min)
(println
(if (< min most-positive-fixnum)
(+ dist (* 2 min))
-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 | 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* (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 "11
-1
"
(run "3
1 2 3
2 3 4
2
1 2
1 3
" nil)))
(it.bese.fiveam:is
(equal "42
176
152
14
"
(run "5
1 4 10
2 3 100
1 2 38
1 5 2
4
1 2
2 3
3 4
1 4
" nil)))
(it.bese.fiveam:is
(equal "22
36
31
49
21
"
(run "6
1 3 19
1 2 20
1 4 1
5 1 10
4 6 8
5
1 2
3 4
5 3
6 2
3 1
" nil))))