ÿØÿà JFIF      ÿÛ „ 	 ( %!1!%)+//.383,7(-.+



-%%-////---/-.+/--+------/------/--0+--/-/-----.-----ÿÀ  ¥2" ÿÄ               ÿÄ J  	     ! 1AQ"aq2‘#BR‚¡ÁÑ3br’¢±Âð$CSƒ²á4c“%DsÓñÿÄ              ÿÄ *        !1AQa‘"2q3±ð#b¡ÿÚ   ? ¼QxJQaÍuò¸Zö Úü8,ÐÚú
"SSn<rçù–´âE—^ªBÖ9À\†¸ÔÁT­ÃÛ5
ëd´³Í#Ý;Þ38œî ¶H£M:wÎ3…³…âpÔF&‚FK¸9„â4àGEõªfÿ ‘ñ(ßw­pŽF|È¥ù®häðÍÑ¶¹‘[ÒinÙW¶ùñY˜Q{›K"išÒ[Ú8žë\F¹@-?v"ÔU”,ìöžkÿ {I‡£šÍ?e
ríV
..............................................................................................................................................................................
.............................................................................                                                  
                                                                                                                                                                                     ÿØÿà JFIF      ÿÛ „ 	 ( %!1!%)+//.383,7(-.+



-%%-////---/-.+/--+------/------/--0+--/-/-----.-----ÿÀ  ¥2" ÿÄ               ÿÄ J  	     ! 1AQ"aq2‘#BR‚¡ÁÑ3br’¢±Âð$CSƒ²á4c“%DsÓñÿÄ              ÿÄ *        !1AQa‘"2q3±ð#b¡ÿÚ   ? ¼QxJQaÍuò¸Zö Úü8,ÐÚú
"SSn<rçù–´âE—^ªBÖ9À\†¸ÔÁT­ÃÛ5
ëd´³Í#Ý;Þ38œî ¶H£M:wÎ3…³…âpÔF&‚FK¸9„â4àGEõªfÿ ‘ñ(ßw­pŽF|È¥ù®häðÍÑ¶¹‘[ÒinÙW¶ùñY˜Q{›K"išÒ[Ú8žë\F¹@-?v"ÔU”,ìöžkÿ {I‡£šÍ?e
ríV
..............................................................................................................................................................................
.............................................................................                                                  
                                                                                                                                                                                     3
'X                 @   s0   d Z ddlZdd Zdd Zdd Zd	d
 ZdS )a	  
Given a list of integers, made up of (hopefully) a small number of long runs
of consecutive integers, compute a representation of the form
((start1, end1), (start2, end2) ...). Then answer the question "was x present
in the original list?" in time O(log(# runs)).
    Nc             C   s   t | }g }d}xrtt|D ]b}|d t|k rL|| ||d  d krLq||d |d  }|jt|d |d d  |}qW t|S )a  Represent a list of integers as a sequence of ranges:
    ((start_0, end_0), (start_1, end_1), ...), such that the original
    integers are exactly those x such that start_i <= x < end_i for some i.

    Ranges are encoded as single integers (start << 32 | end), not as tuples.
       r   r   )sortedrangelenappend_encode_rangetuple)Zlist_Zsorted_listrangesZ
last_writeiZcurrent_range r   /usr/lib/python3.6/intranges.pyintranges_from_list
   s    r   c             C   s   | d> |B S )N    r   )startendr   r   r   r      s    r   c             C   s   | d? | d@ fS )Nr   r   l        l    r   )rr   r   r   _decode_range"   s    r   c             C   sz   t | d}tj||}|dkrNt||d  \}}||   koD|k n  rNdS |t|k rvt|| \}}|| krvdS dS )z=Determine if `int_` falls into one of the ranges in `ranges`.r   r   TF)r   bisectZbisect_leftr   r   )Zint_r
   Ztuple_posleftright_r   r   r   intranges_contain&   s    
r   )__doc__r   r   r   r   r   r   r   r   r   <module>   s
   