Problem:
Score : 200 points

Problem Statement

A ball will bounce along a number line, making N + 1 bounces. It will make the first bounce at coordinate D_1 = 0, and the i-th bounce (2 \leq i \leq N+1) at coordinate D_i = D_{i-1} + L_{i-1}.

How many times will the ball make a bounce where the coordinate is at most X?

Constraints

1 \leq N \leq 100

1 \leq L_i \leq 100

1 \leq X \leq 10000

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N X
L_1 L_2 ... L_{N-1} L_N

Output

Print the number of times the ball will make a bounce where the coordinate is at most X.

Sample Input 1

3 6
3 4 5

Sample Output 1

2

The ball will make a bounce at the coordinates 0, 3, 7 and 12, among which two are less than or equal to 6.

Sample Input 2

4 9
3 3 3 3

Sample Output 2

4

The ball will make a bounce at the coordinates 0, 3, 6, 9 and 12, among which four are less than or equal to 9.

Solution in Common Lisp (SBCL 2.0.3) (judge verdict: Accepted)

;;; Utils

(defmacro read-numbers-to-list (size)
  `(progn
     (when (not (integerp ,size))
       (error "Size must be integer."))
     (when (< ,size 0)
       (error "Size must be plus or zero."))
     (loop repeat ,size collect (read))))



(defmacro read-numbers-to-array (size)
  `(progn
     (when (not (integerp ,size))
       (error "Size must be integer."))
     (when (< ,size 0)
       (error "Size must be plus or zero."))
     (make-array ,size :initial-contents (read-numbers-to-list ,size))))

(defmacro read-numbers-to-board (row-size column-size)
  (let ((board (gensym))
        (r (gensym))
        (c (gensym)))
    `(let ((,board (make-array '(,row-size ,column-size))))
       (dotimes (,r ,row-size)
         (dotimes (,c ,column-size)
           (setf (aref ,board ,r ,c) (read))))
       ,board)))


(defmethod make-cumlative-sum ((sequence list))
  (labels ((inner (sequence &optional (acc '(0)))
             (if (null sequence)
                 (reverse acc)
                 (inner (rest sequence) (cons (+ (first sequence)
                                                 (first acc))
                                              acc)))))
    (inner sequence)))


(defmethod make-cumlative-sum ((sequence array))
  (declare (type (simple-array fixnum) sequence))
  (the array
       (let* ((n (length sequence))
              (acc (make-array (1+ n) :element-type 'integer :initial-element 0)))
         (loop for i below n do
              (setf (aref acc (1+ i)) (+ (aref sequence i)
                                         (aref acc i)))
            finally
              (return acc)))))




(defmethod princ-for-each-line ((sequence list))
  (labels ((inner (sequence)
             (if (null sequence)
                 (fresh-line)
                 (progn
                   (fresh-line)
                   (princ (first sequence))
                   (inner (rest sequence))))))
    (inner sequence)))

(defmethod princ-for-each-line ((sequence array))
  (dotimes (i (length sequence))
    (fresh-line)
    (princ (aref sequence i)))
  (fresh-line))


(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)))))




;;; Write code here

(defun solve (n x l)
  (let ((cum (make-cumlative-sum l)))
    (length (remove-if-not
             (lambda (pos)
               (<= pos x))
             cum))))


(defun main ()
  (let* ((n (read))
         (x (read))
         (l (read-numbers-to-list n)))
    (format t "~a~%" (solve n x l))))

(main)