;; -*- 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 #-swank (sb-kernel:ansi-stream in)) (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)))))))) ;;; ;;; Strongly connected components of directed graph ;;; (defun make-scc (graph) "GRAPH := vector of adjacency lists" (declare #.OPT ((simple-array list (*)) graph)) (let* ((n (length graph)) (ords (make-array n :element-type 'uint31 :initial-element 0)) (lows (make-array n :element-type 'uint31 :initial-element 0)) (components (make-array n :element-type 'uint31)) stack (in-stack (make-array n :element-type 'bit :initial-element 0)) (time 0) (ord 0)) (Declare (uint31 time ord)) (labels ((visit (v) (incf time) (setf (aref lows v) time (aref ords v) time) (push v stack) (setf (aref in-stack v) 1) (dolist (neighbor (aref graph v)) (cond ((zerop (aref ords neighbor)) (visit neighbor) (setf (aref lows v) (min (aref lows v) (aref lows neighbor)))) ((= 1 (aref in-stack neighbor)) (setf (aref lows v) (min (aref lows v) (aref ords neighbor)))))) (when (= (aref lows v) (aref ords v)) (loop (let ((w (pop stack))) (setf (aref in-stack w) 0) (setf (aref components w) ord) (when (= v w) (return)))) (incf ord)))) (dotimes (v n) (when (zerop (aref ords v)) (visit v))) components))) (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))) ;;; ;;; Body ;;; (defun main () (declare #.OPT) (let* ((n (read)) (m (read)) (ls (make-array (* 2 n) :element-type 'uint16)) (rs (make-array (* 2 n) :element-type 'uint16)) (graph (make-array (* 4 n) :element-type 'list :initial-element nil)) (2n (* 2 n)) (4n (* 4 n))) (declare (uint16 n m)) (dotimes (i n) (let* ((l (read-fixnum)) (r (read-fixnum))) (declare (uint16 l r)) (setf (aref ls i) l (aref rs i) r (aref ls (+ i n)) (- m r 1) (aref rs (+ i n)) (- m l 1)))) (labels ((negate (x) (declare (uint16 x)) (let ((res (+ x 2n))) (if (>= res 4n) (- res 4n) res))) (add-clause! (literal1 literal2) (declare (uint16 literal1 literal2)) (push (negate literal2) (aref graph literal1)) (push (negate literal1) (aref graph literal2)))) (declare (inline negate)) (gc :full t) (dotimes (x 2n) (loop for y from (+ x 1) below 2n do (when (and (/= (+ x n) y) (not (or (< (aref rs x) (aref ls y)) (< (aref rs y) (aref ls x))))) (add-clause! x y)))) (dotimes (x n) (add-clause! (negate x) (negate (+ x n))) (add-clause! x (+ x n))) (let* ((comps (make-scc graph))) (declare ((simple-array uint31 (*)) comps)) (write-line (if (loop for x below 2n thereis (= (aref comps x) (aref comps (+ x 2n)))) "NO" "YES")))))) #-swank (main)