(defun main ()
  (let ((k (read))
        (s (read))
        (ans 0))
    (dotimes (x (1+ k))
      (dotimes (y (1+ k))
        (if (and (<= (- s x y) k) (<= 0 (- s x y)))
            (incf ans))))
    ans))

(format t "~d~%" (main))


(defun main ()
  (let ((k (read))
        (s (read))
        (ans 0))
    (dotimes (x (1+ k))
      (dotimes (y (1+ k))
        (dotimes (z (1+ k))
          (if (= (+ x y z) s)
            (incf ans)))))
    ans))

(format t "~d~%" (main))

Global OOD problem IDs are disjoint from train, validation, and in-distribution test problem IDs.

Score : 200 points

Problem Statement

You are given two integers K and S.

Three variable X, Y and Z takes integer values satisfying 0≤X,Y,Z≤K.

How many different assignments of values to X, Y and Z are there such that X + Y + Z = S?

Constraints

2≤K≤2500

0≤S≤3K

K and S are integers.

Input

The input is given from Standard Input in the following format:

K S

Output

Print the number of the triples of X, Y and Z that satisfy the condition.

Sample Input 1

2 2

Sample Output 1

6

There are six triples of X, Y and Z that satisfy the condition:

X = 0, Y = 0, Z = 2

X = 0, Y = 2, Z = 0

X = 2, Y = 0, Z = 0

X = 0, Y = 1, Z = 1

X = 1, Y = 0, Z = 1

X = 1, Y = 1, Z = 0

Sample Input 2

5 15

Sample Output 2

1

The maximum value of X + Y + Z is 15, achieved by one triple of X, Y and Z.

Submitted source-code file size, in bytes.

Execution CPU time reported by official Project CodeNet metadata, in milliseconds.

Peak memory usage reported by official Project CodeNet metadata, in kilobytes.


(defun solve (k s)
  (loop for x from 0 to (min k s)
        sum (loop for y from 0 to (min k (- s x))
                  count (<= (- s x y) k))))

#-swank
(let* ((k (read))
       (s (read)))
  (format t "~A~%" (solve k s)))


(let ((k (read))
      (s (read)))

  (format t "~A~%"
          (loop for i from 0 to k
                sum (loop for j from 0 to k
                          count (<= 0 (- s i j) k)))))


(defun count-pairs (k s)
  (let ((mx (if (>= k s)
              s
              k))
        (mn (if (>= k s)
              0
              (- s k))))
    (if (<= mn mx)
      (+ (- mx mn) 1)
      0)))

(defun solv (k s)
    (loop for i below (+ k 1)
        sum (count-pairs k (- s i))))

(defparameter k (read))
(defparameter s (read))
(defparameter ans (solv k s))
(princ ans)


(let ((k (read))
      (s (read))
      (ans 0))
  (defun lp (a b c)
    (if (= (+ a b c) s)
        (setq ans (1+ ans))
        nil))
  (loop :for a :from 0 :upto k :do
    (loop :for b :from 0 :upto k :do
      (loop :for c :from 0 :upto k :do(lp a b c))))
  (princ ans))


#|
------------------------------------
|               Utils               |
------------------------------------
|#

(eval-when (:compile-toplevel :load-toplevel :execute)
  (defparameter OPT
    #+swank '(optimize (speed 3) (safety 2))
    #-swank '(optimize (speed 3) (safety 0) (debug 0)))
  #+swank (progn (ql:quickload '(:cl-debug-print :fiveam))
                 (shadow :run)
                 (use-package :fiveam)))
#+swank (cl-syntax:use-syntax cl-debug-print:debug-print-syntax)

#-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))))

(defconstant +mod+ 1000000007)

(defmacro define-int-types (&rest bits)
  `(progn
     ,@(mapcar (lambda (b) `(deftype ,(intern (format nil "INT~a" b)) () '(signed-byte ,b))) bits)
     ,@(mapcar (lambda (b) `(deftype ,(intern (format nil "UINT~a" b)) () '(unsigned-byte ,b))) bits)))

(define-int-types 2 4 8 16 32 64)

(declaim (inline println))
(defun println (obj &optional (stream *standard-output*))
  (let ((*read-default-float-format* 'double-float))
    (prog1
        (write obj :stream stream)
      (fresh-line stream))))

(defmacro safe-sort (list test &key (key #'identity))
  `(progn
    (declaim (inline sort sb-impl::stable-sort-list))
    (sort (copy-seq ,list) ,test :key ,key)))

(defmacro read-numbers-to-list (size)
  `(loop repeat ,size collect (read)))

(defmacro read-numbers-to-array (size)
  (let ((i (gensym))
        (arr (gensym)))
    `(let ((,arr (make-array ,size
                             :element-type 'fixnum)))
       (declare ((array fixnum 1) ,arr))
       (loop for ,i of-type fixnum below ,size do
            (setf (aref ,arr ,i) (read))
          finally
            (return ,arr)))))

(defmacro read-characters-to-board (row-size column-size)
  (let ((board (gensym))
        (r (gensym))
        (c (gensym))
        (tmp (gensym)))
    `(let ((,board (make-array '(,row-size ,column-size) :element-type 'character :adjustable nil)))
       (dotimes (,r ,row-size ,board)
         (let ((,tmp (read-line)))
           (dotimes (,c ,column-size)
             (setf (aref ,board ,r ,c) (char ,tmp ,c))))))))

(defmethod princ-for-each-line ((sequence list))
  (format t "~{~a~&~}" sequence))

(defmethod princ-for-each-line ((sequence vector))
  (loop for i below (length sequence) do
       (princ (aref sequence i))
       (fresh-line)))

(defun unwrap (list)
  (format nil "~{~a~^ ~}" list))

(defmacro with-buffered-stdout (&body body)
  (let ((out (gensym)))
    `(let ((,out (make-string-output-stream :element-type 'base-char)))
       (let ((*standard-output* ,out))
         ,@body)
       (write-string (get-output-stream-string ,out)))))

#|
------------------------------------
|               Body               |
------------------------------------
|#

(defparameter *word-list*
  (mapcar #'reverse
          '("erase"
            "eraser"
            "dream"
            "dreamer")))

(defun judge (xs str)
  (if (< (length xs)
         (length str))
      nil
      (equal (concatenate 'string (subseq xs 0 (length str))) str)))

(defun solve (xs)
  (let ((xs (nreverse xs)))
    (labels ((sub (xs)
               (if (null xs)
                   t
                   (loop for str in *word-list* do
                        (when (judge xs str)
                          (return (sub (nthcdr (length str) xs))))
                      finally
                        (return nil)))))
      (if (sub xs)
          "YES"
          "NO"))))

(defun main ()
  (declare #.OPT)
  (let ((s (concatenate 'list (read-line))))
    (format t "~a~&" (solve s))))

#-swank (main)

Score : 300 points

Problem Statement

You are given a string S consisting of lowercase English letters.
Another string T is initially empty.
Determine whether it is possible to obtain S = T by performing the following operation an arbitrary number of times:

Append one of the following at the end of T: dream, dreamer, erase and eraser.

Constraints

1≦|S|≦10^5

S consists of lowercase English letters.

Input

The input is given from Standard Input in the following format:

S

Output

If it is possible to obtain S = T, print YES. Otherwise, print NO.

Sample Input 1

erasedream

Sample Output 1

YES

Append erase and dream at the end of T in this order, to obtain S = T.

Sample Input 2

dreameraser

Sample Output 2

YES

Append dream and eraser at the end of T in this order, to obtain S = T.

Sample Input 3

dreamerer

Sample Output 3

NO


#|
------------------------------------
|               Utils               |
------------------------------------
|#

(eval-when (:compile-toplevel :load-toplevel :execute)
  (defparameter OPT
    #+swank '(optimize (speed 3) (safety 2))
    #-swank '(optimize (speed 3) (safety 0) (debug 0)))
  #+swank (progn (ql:quickload '(:cl-debug-print :fiveam))
                 (shadow :run)
                 (use-package :fiveam)))
#+swank (cl-syntax:use-syntax cl-debug-print:debug-print-syntax)

#-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))))

(defconstant +mod+ 1000000007)

(defmacro define-int-types (&rest bits)
  `(progn
     ,@(mapcar (lambda (b) `(deftype ,(intern (format nil "INT~a" b)) () '(signed-byte ,b))) bits)
     ,@(mapcar (lambda (b) `(deftype ,(intern (format nil "UINT~a" b)) () '(unsigned-byte ,b))) bits)))

(define-int-types 2 4 8 16 32 64)

(declaim (inline println))
(defun println (obj &optional (stream *standard-output*))
  (let ((*read-default-float-format* 'double-float))
    (prog1
        (write obj :stream stream)
      (fresh-line stream))))

(defmacro safe-sort (list test &key (key #'identity))
  `(progn
    (declaim (inline sort sb-impl::stable-sort-list))
    (sort (copy-seq ,list) ,test :key ,key)))

(defmacro read-numbers-to-list (size)
  `(loop repeat ,size collect (read)))

(defmacro read-numbers-to-array (size)
  (let ((i (gensym))
        (arr (gensym)))
    `(let ((,arr (make-array ,size
                             :element-type 'fixnum)))
       (declare ((array fixnum 1) ,arr))
       (loop for ,i of-type fixnum below ,size do
            (setf (aref ,arr ,i) (read))
          finally
            (return ,arr)))))

(defmacro read-characters-to-board (row-size column-size)
  (let ((board (gensym))
        (r (gensym))
        (c (gensym))
        (tmp (gensym)))
    `(let ((,board (make-array '(,row-size ,column-size) :element-type 'character :adjustable nil)))
       (dotimes (,r ,row-size ,board)
         (let ((,tmp (read-line)))
           (dotimes (,c ,column-size)
             (setf (aref ,board ,r ,c) (char ,tmp ,c))))))))

(defmethod princ-for-each-line ((sequence list))
  (format t "~{~a~&~}" sequence))

(defmethod princ-for-each-line ((sequence vector))
  (loop for i below (length sequence) do
       (princ (aref sequence i))
       (fresh-line)))

(defun unwrap (list)
  (format nil "~{~a~^ ~}" list))

(defmacro with-buffered-stdout (&body body)
  (let ((out (gensym)))
    `(let ((,out (make-string-output-stream :element-type 'base-char)))
       (let ((*standard-output* ,out))
         ,@body)
       (write-string (get-output-stream-string ,out)))))

#|
------------------------------------
|               Body               |
------------------------------------
|#

(defun judge (xs str)
  (if (< (length xs)
         (length str))
      nil
      (equal (concatenate 'string (subseq xs 0 (length str))) str)))

(defun solve (xs)
  (labels ((sub (xs)
             (cond
               ((null xs) t)
               ((judge xs "dreamer") (or (sub (nthcdr 7 xs))
                                         (sub (nthcdr 5 xs))))
               ((judge xs "dream")   (sub (nthcdr 5 xs)))
               ((judge xs "eraser")  (sub (nthcdr 6 xs)))
               ((judge xs "erase")   (sub (nthcdr 5 xs)))
               (t nil))))
    (if (sub xs)
        "YES"
        "NO")))

(defun main ()
  (declare #.OPT)
  (let ((s (concatenate 'list (read-line))))
    (format t "~a~&" (solve s))))

#-swank (main)


(defun solve (s)
  (let ((solved nil))
    (labels
      ((f (s)
               (if (loop for word in '("dream" "dreamer" "erase" "eraser") do
                      (let ((mismatch (mismatch s word)))
                        (cond ((not mismatch) (setf solved t))
                               ((= mismatch (length word))
                                (f (subseq s (length word)))))))
                  t nil)))
      (f s))
      (format t "~A~%" (if solved "YES" "NO"))))

(defun main ()
  (solve (read-line)))

(main)


#-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))))
(defmacro dp (name args memo-size &body body)
  (let ((memo (gensym)))
    `(let ((,memo (make-array ,memo-size :initial-element nil)))
       (defun ,name ,args
         (or (aref ,memo ,@args)
             (setf (aref ,memo ,@args)
                   ,@body))))))

(defun split (x str)
  (let ((pos (search x str))
        (size (length x)))
    (if pos
      (cons (subseq str 0 pos)
            (split x (subseq str (+ pos size))))
      (list str))))

(defmacro collect-times (time body)
  `(loop repeat ,time collect ,body))

(defun read-times (time)
  (collect-times time (read)))

(defun main (str)
  (count #\1 str))

(defun prefix-equal (str1 str2)
  (unless str1 (return-from prefix-equal t))
  (unless str2 (return-from prefix-equal nil))
  (and (char= (car str1) (car str2)) (prefix-equal (cdr str1) (cdr str2))))

(defun main (str)
  (let ((names (mapcar (lambda (x)
                         (coerce (reverse x) 'list)) (list "dream" "dreamer" "erase" "eraser")))
        (rts (coerce (reverse str) 'list)))
    (labels ((f (lst)
               (unless lst
                 (return-from f t))
               (loop for name in names
                     when (prefix-equal name lst)
                       do
                          (return-from f (f (subseq lst (length name)))))
               nil))
      (f rts))))

(princ (if (main (read-line)) "YES" "NO"))


#-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))))
(defmacro dp (name args memo-size &body body)
  (let ((memo (gensym)))
    `(let ((,memo (make-array ,memo-size :initial-element nil)))
       (defun ,name ,args
         (or (aref ,memo ,@args)
             (setf (aref ,memo ,@args)
                   ,@body))))))

(defun split (x str)
  (let ((pos (search x str))
        (size (length x)))
    (if pos
      (cons (subseq str 0 pos)
            (split x (subseq str (+ pos size))))
      (list str))))

(defmacro collect-times (time body)
  `(loop repeat ,time collect ,body))

(defun read-times (time)
  (collect-times time (read)))

(defun main (str)
  (count #\1 str))

(defun prefix-equal (str1 str2)
  (unless str1 (return-from prefix-equal t))
  (unless str2 (return-from prefix-equal nil))
  (and (char= (car str1) (car str2)) (prefix-equal (cdr str1) (cdr str2))))

(defun main (str)
  (let ((names (mapcar (lambda (x)
                         (coerce (reverse x) 'list)) (list "dream" "dreamer" "erase" "eraser")))
        (rts (coerce (reverse str) 'list))
        (n (length str)))
    (labels ((f (lst)
               (unless lst
                 (return-from f t))
               (loop for name in names
                     when (prefix-equal name lst)
                       do
                          (return-from f (subseq lst (length name))))
               nil))
      (f rts))))

(princ (if (main (read-line)) "YES" "NO"))


(loop :with n := (read-line)
      :for s :upto (length n)
      :for k :on (concatenate 'list n "0000000")
      :for dp :on (cons 1 (loop :repeat (+ (length n) 6) :collect 0))
      :with j := (loop :for x :in '("dream" "dreamer" "erase" "eraser")
                       :collect (concatenate 'list x))
      :if (char= #\0 (car k))
        :if (= 1 (car dp)) :do (princ "YES")
          :else :do (princ "NO")
      :if (= 1 (car dp))
        :if (equal (subseq k 0 5) (car j)) :do (setf (elt dp 5) 1) :end :and
        :if (equal (subseq k 0 7) (cadr j)) :do (setf (elt dp 7) 1) :end :and
        :if (equal (subseq k 0 5) (caddr j)) :do (setf (elt dp 5) 1) :end :and
        :if (equal (subseq k 0 6) (cadddr j)) :do (setf (elt dp 6) 1))


(loop :named n-loop :with n := (read)
      :do (loop :for j :upto n :with y := (read)
                :do (loop :for k :upto (- n j)
                          :if (= y (+ (* 10000 j) (* 5000 k) (* 1000 (- n j k))))
                            :do (format t "~A ~A ~A" j k (- n j k))
                            :and
                              :do (return-from n-loop))
                :finally (princ "-1 -1 -1")))


    (loop :named n-loop :with n := (read)
          :do (loop :for j :upto n :with y := (read)
                    :do (loop :for k :upto (- n j)
                              :if (= y (+ (* 10000 j) (* 5000 k) (* 1000 (- n j k))))
                                :do (format t "~A ~A ~A" j k (- n j k))
                                    :and
                                :do (return-from n-loop))
                    :finally (princ "-1 -1 -1")))


(let* ((str (reverse (read-line))))
  (defun f (str-f)
    (if (not (string= str-f ""))
        (cond ((and (<= 6 (length str-f)) (string= (subseq str-f 0 6) "resare")) (f (subseq str-f 6)))
            ((and (<= 5 (length str-f)) (string= (subseq str-f 0 5) "esare")) (f (subseq str-f 5)))
            ((and (<= 7 (length str-f)) (string= (subseq str-f 0 7) "remaerd")) (f (subseq str-f 7)))
            ((and (<= 5 (length str-f)) (string= (subseq str-f 0 5) "maerd")) (f (subseq str-f 5)))
            (t nil))
        t))
  (if (f str) (princ "YES") (princ "NO")))


(let* ((str (read-line)))
  (defun eval-f (a)
    (if (<= (length a) (length str))
        (and (string= a (subseq str 0 (length a))) (f a))))
  (defun f (a)
    (cond ((string= a str))
          ((eval-f (concatenate 'string a "dream")))
          ((eval-f (concatenate 'string a "dreamer")))
          ((eval-f (concatenate 'string a "erase")))
          ((eval-f (concatenate 'string a "eraser")))))
  (if (f "") (princ "YES") (princ "NO")))


(defparameter +divide+
  (make-array '(4)
              :initial-contents
              '("dream" "dreamer" "erase" "eraser")))

(defmacro while (test &body body)
  `(do ()
       ((not ,test))
     ,@body))

(defun daydream (s)
  (let ((can1 t)
        can2
        (l (length s))
        (j 0)
        buff
        d)

    (setf s (reverse s))
    (dotimes (i 4)
      (setf (aref +divide+ i) (reverse (aref +divide+ i))))

    (while (< j l)
      (setf can2 nil)
      (dotimes (k 4)
        (setf d (aref +divide+ k))
        (if (>= l (+ (length d) j))
            (setf buff (subseq s j (+ (length d) j)))
            (setf buff (subseq s j)))
        (when (string= buff d)
          (setf can2 t)
          (setf j (+ j (length d)))
          (return)))
      (when (not (eq can2 t))
        (setf can1 nil)
        (return)))

    (if (eq can1 t)
        "YES"
        "NO")))

(format t "~A~%" (daydream (read-line)))


(let ((s (nreverse (read-line))))
  (labels ((f (str)
             (cond ((string= "" str) t)
                   ((and (>= (length str) 7)
                         (string= "remaerd" str :end2 7)) (f (subseq str 7)))
                   ((and (>= (length str) 6)
                         (string= "resare" str :end2 6)) (f (subseq str 6)))
                   ((and (>= (length str) 5)
                         (string= "maerd" str :end2 5)) (f (subseq str 5)))
                   ((and (>= (length str) 5)
                         (string= "esare" str :end2 5)) (f (subseq str 5)))
                   (t nil))))
    (format t "~A~%" (if (f s) 'yes 'no))))


(let ((s (read-line)))
  (labels ((f (str)
             (cond ((string= "" str) t)
                   ((and (>= (length str) 7)
                         (string= "dreamer" str :end2 7)) (f (subseq str 7)))
                   ((and (>= (length str) 6)
                         (string= "eraser" str :end2 6)) (f (subseq str 6)))
                   ((and (>= (length str) 5)
                         (string= "dream" str :end2 5)) (f (subseq str 5)))
                   ((and (>= (length str) 5)
                         (string= "erase" str :end2 5)) (f (subseq str 5)))
                   (t nil))))
    (format t "~A~%" (if (f s) 'yes 'no))))


(let ((s (read-line)))
  (labels ((f (str)
             (cond ((string= "" str) t)
                   ((and (>= (length str) 7)
                         (string= "dreamer" str :end2 7)) (f (subseq str 7)))
                   ((and (>= (length str) 6)
                         (string= "eraser" str :end2 6)) (f (subseq str 6)))
                   ((and (>= (length str) 5)
                         (string= "dream" str :end2 5)) (f (subseq str 5)))
                   ((and (>= (length str) 5)
                         (string= "erase" str :end2 5)) (f (subseq str 5)))
                   (t nil))))
    (if (f s) 'yes 'no)))


(defmacro let-if (nv c true false)
  `(let (,nv) (if ,c ,true ,false)))

(defun daydream-with (str start)
  (let-if (len (- (length str) start))
    (< len 5)
    nil
    (let-if (dream (string= #.(reverse "dream")
                       (subseq str start (+ start 5))))
      dream 5
      (let-if (erase (string= #.(reverse "erase")
                       (subseq str start (+ start 5))))
        erase 5
        (if (< len 6)
          nil
          (let-if (eraser (string= #.(reverse "eraser")
                            (subseq str start (+ start 6))))
            eraser 6
            (if (< len 7)
              nil
              (let-if (dreamer (string= #.(reverse "dreamer")
                                 (subseq str start (+ start 7))))
                dreamer 7
                nil))))))))

(let* ((s (reverse (read-line)))
       (len (length s))
       (r 0))
  (loop for i = (daydream-with s r)
        if (null i) do (return)
        else do (incf r i)
        while (>= len r))
  (if (>= r len)
    (format t "YES~%")
    (format t "NO~%")))


(defmacro let-if (nv c true false)
  `(let (,nv) (if ,c ,true ,false)))

(defun daydream-with (str start)
  (let-if (len (- (length str) start))
    (< len 5)
    nil
    (let-if (dream (string= #.(reverse "dream")
                       (subseq str start (+ start 5))))
      dream 5
      (let-if (erase (string= #.(reverse "erase")
                       (subseq str start (+ start 5))))
        erase 5
        (if (< len 6)
          nil
          (let-if (eraser (string= #.(reverse "eraser")
                            (subseq str start (+ start 6))))
            eraser 6
            (if (< len 7)
              nil
              (let-if (dreamer (string= #.(reverse "dreamer")
                                 (subseq str start (+ start 7))))
                erase 7
                nil))))))))

(let* ((s (reverse (read-line)))
       (len (length s))
       (r 0))
  (loop for i = (daydream-with s r)
        if (null i) do (return)
        else do (incf r i)
        while (>= len r))
  (if (>= r len)
    (format t "YES~%")
    (format t "NO~%")))


(defun daydream-with (str start)
  (let* ((len (min 7 (- (length str) start)))
         (seven (subseq str start (+ start len)))
         (dreamer (string>= "dreamer" seven)))
    (if (and dreamer (= dreamer 7))
      7
      (if (and dreamer (= dreamer 5))
        5
        (let ((eraser (string>= "eraser" seven)))
          (if (and eraser (= eraser 6))
            6
            (if (and eraser (= eraser 5))
              5
              nil)))))))

(let* ((s (read-line))
       (len (length s))
       (r 0))
  (loop for i = (daydream-with s r)
        if (null i) do (return)
        else do (incf r i)
        while (>= len r))
  (if (>= r len)
    (format t "YES~%")
    (format t "NO~%")))


(let* ((str (read-line)))
  (defun eval-f (a)
    (print a)
    (if (<= (length a) (length str))
        (and (string= a (subseq str 0 (length a))) (f a))))
  (defun f (a)
    (cond ((string= a str))
          ((eval-f (concatenate 'string a "dream")))
          ((eval-f (concatenate 'string a "dreamer")))
          ((eval-f (concatenate 'string a "erase")))
          ((eval-f (concatenate 'string a "eraser")))))
  (if (f "") (princ "YES") (princ "NO")))


(let* ((str (read-line)))
  (defun eval-f (a)
    (if (<= (length a) (length str))
        (string= a (subseq str 0 (length a)))))
  (defun f (a)
    (cond ((string= a str))
          ((eval-f (concatenate 'string a "dream")) (f (concatenate 'string a "dream")))
          ((eval-f (concatenate 'string a "dreamer")) (f (concatenate 'string a "dreamer")))
          ((eval-f (concatenate 'string a "erase")) (f (concatenate 'string a "erase")))
          ((eval-f (concatenate 'string a "eraser")) (f (concatenate 'string a "eraser")))))
  (if (f "") (princ "YES") (princ "NO")))


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Problem Statement

#nck {
width: 30px;
height: auto;
}

In the country there are N cities numbered 1 through N, which are connected by N-1 bidirectional roads. In terms of graph theory, there is a unique simple path connecting every pair of cities. That is, the N cities form a tree. Besides, if we view city 1 as the root of this tree, the tree will be a full binary tree (a tree is a full binary tree if and only if every non-leaf vertex in the tree has exactly two children). Roads are numbered 1 through N-1. The i-th road connects city i+1 and city a_i. When you pass through road i, the toll you should pay is v_i (if v_i is 0, it indicates the road does not require a toll).

A company in city 1 will give each employee a family travel and cover a large part of the tolls incurred. Each employee can design the travel by themselves. That is, which cities he/she wants to visit in each day and which city to stay at each night. However, there are some constraints. More details are as follows:

The travel must start and end at city 1. If there are m leaves in the tree formed by the cities, then the number of days in the travel must be m+1. At the end of each day, except for the last day, the employee must stay at some hotel in a leaf city. During the whole travel, the employee must stay at all leaf cities exactly once.

During the whole travel, all roads of the country must be passed through exactly twice.

The amount that the employee must pay for tolls by him/herself is the maximum total toll incurred in a single day during the travel, except the first day and the last day. The remaining tolls will be covered by the company.

Shik, as an employee of this company, has only one hope for his travel. He hopes that the amount he must pay for tolls by himself will be as small as possible. Please help Shik to design the travel which satisfies his hope.

Constraints

2 < N < 131,072

1 \leq a_i \leq i for all i

0 \leq v_i \leq 131,072

v_i is an integer

The given tree is a full binary tree

Input

The input is given from Standard Input in the following format:

N
a_1 v_1
a_2 v_2
:
a_{N-1} v_{N-1}

Output

Print an integer denoting the minimum amount Shik must pay by himself for tolls incurred during the travel.

Sample Input 1

7
1 1
1 1
2 1
2 1
3 1
3 1

Sample Output 1

4

There are 4 leaves in the tree formed by the cities (cities 4, 5, 6, and 7), so the travel must be 5 days long. There are 4! = 24 possible arrangements of the leaf cities to stay during the travel, but some of them are invalid. For example, (4,5,6,7) and (6,7,5,4) are valid orders, but (5,6,7,4) is invalid because the route passes 4 times through the road connecting city 1 and city 2. The figure below shows the routes of the travel for these arrangements.

For all valid orders, day 3 is the day with the maximum total incurred toll of 4, passing through 4 roads.

Sample Input 2

9
1 2
1 2
3 2
3 2
5 2
5 2
7 2
7 2

Sample Output 2

6

The following figure shows the route of the travel for one possible arrangement of the stayed cities for the solution. Note that the tolls incurred in the first day and the last day are always covered by the company.

Sample Input 3

15
1 2
1 5
3 3
4 3
4 3
6 5
5 4
5 3
6 3
3 2
11 5
11 3
13 2
13 1

Sample Output 3

15

Sample Input 4

3
1 0
1 0

Sample Output 4

0


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