(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
           ;; enclose the form with VALUES to avoid being captured by LOOP macro
           #\# #\> (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)
#-swank (disable-debugger) ; for CS Academy

;; BEGIN_INSERTED_CONTENTS
(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))

(declaim (ftype (function * (values fixnum &optional)) read-fixnum))
(defun read-fixnum (&optional (in *standard-input*))
  "NOTE: cannot read -2^62"
  (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 #\-))
                                  (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))))))))

(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)))

(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 (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
;;;

(defconstant +inf+ #x7fffffff)

(defun main ()
  (declare #.OPT
           (inline sort))
  (let* ((n (read))
         (limit (read))
         (bs (make-array n :element-type 'uint32 :fill-pointer 0))
         (abs (make-array n :element-type '(cons uint31 uint31) :fill-pointer 0)))
    (declare (uint31 n limit))
    (dotimes (i n)
      (let ((a (read-fixnum))
            (b (read-fixnum)))
        (if (zerop a)
            (vector-push (+ b 1) bs)
            (vector-push (cons a b) abs))))
    (setq bs (sort bs #'<))
    (setq abs (sort abs
                    (lambda (node1 node2)
                      (let ((a1 (car node1))
                            (b1 (cdr node1))
                            (a2 (car node2))
                            (b2 (cdr node2)))
                        (declare (uint31 a1 b1 a2 b2))
                        (<= (* a2 (+ b1 1)) (* a1 (+ b2 1)))))))
    (let* ((n1 (length abs))
           (n2 (length bs))
           (cumuls (make-array (+ n2 1) :element-type 'uint31 :initial-element 0))
           (dp (make-array (list (+ n1 1) 31) :element-type 'uint31 :initial-element +inf+)))
      (setf (aref dp 0 0) 0)
      (dotimes (i n2)
        (setf (aref cumuls (+ i 1))
              (min +inf+ (+ (aref cumuls i) (aref bs i)))))
      (dotimes (x n1)
        (destructuring-bind (a . b) (aref abs x)
          (declare (uint31 a b))
          (dotimes (y 31)
            (minf (aref dp (+ x 1) y) (aref dp x y))
            (when (< y 30)
              (minf (aref dp (+ x 1) (+ y 1))
                    (+ b (* (+ a 1) (+ (aref dp x y) 1))))))))
      (let ((res 0))
        (declare (uint31 res))
        (loop for y from 30 downto 0
              for pos = n2
              do (loop for x from n1 downto 0
                       do (loop until (or (<= (+ (aref dp x y) (aref cumuls pos)) limit)
                                          (zerop pos))
                                do (decf pos))
                          (when (<= (+ (aref dp x y) (aref cumuls pos)) limit)
                            (maxf res (+ y pos)))))
        (println res)))))

#-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 "powershell.exe" '("-Command" "Get-Clipboard") :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* 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)))

;; To run: (5am:run! :sample)
#+swank
(it.bese.fiveam:test :sample
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "3 7
2 0
3 2
0 3
"
    "2
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "1 3
0 3
"
    "0
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "5 21600
2 14
3 22
1 3
1 10
1 9
"
    "5
"))
  (it.bese.fiveam:is
   (common-lisp-user::io-equal "7 57
0 25
3 10
2 4
5 15
3 22
2 14
1 15
"
    "3
")))


Measured memory_bytes: 70368