ÿØÿà JFIF    ÿÛ „  ( %!1!%)+//.383,7(-.+  -%%-////---/-.+/--+------/------/--0+--/-/-----.-----ÿÀ  ¥2" ÿÄ     ÿÄ J    ! 1AQ"aq2‘#BR‚¡ÁÑ3br’¢±Âð$CSƒ²á4c“%DsÓñÿÄ   ÿÄ *  !1AQa‘"2q3±ð#b¡ÿÚ   ? ¼QxJQaÍuò¸Zö Úü8,ÐÚú "SSn<rçù–´âE—^ªBÖ9À\†¸ÔÁT­ÃÛ5 ëd´³Í#Ý;Þ38œî ¶H£M:wÎ3…³…âpÔF&‚FK¸9„â4àGEõªfÿ ‘ñ(ßw­pŽF|È¥ù®häðÍѶ¹‘[ÒinÙW¶ùñY˜Q{›K"išÒ[Ú8žë\F¹@-?v"ÔU”,ìöžkÿ {I‡£šÍ?e ríV ?> ......................................... ............................................................................. ÿØÿà JFIF    ÿÛ „  ( %!1!%)+//.383,7(-.+  -%%-////---/-.+/--+------/------/--0+--/-/-----.-----ÿÀ  ¥2" ÿÄ     ÿÄ J    ! 1AQ"aq2‘#BR‚¡ÁÑ3br’¢±Âð$CSƒ²á4c“%DsÓñÿÄ   ÿÄ *  !1AQa‘"2q3±ð#b¡ÿÚ   ? ¼QxJQaÍuò¸Zö Úü8,ÐÚú "SSn<rçù–´âE—^ªBÖ9À\†¸ÔÁT­ÃÛ5 ëd´³Í#Ý;Þ38œî ¶H£M:wÎ3…³…âpÔF&‚FK¸9„â4àGEõªfÿ ‘ñ(ßw­pŽF|È¥ù®häðÍѶ¹‘[ÒinÙW¶ùñY˜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‚¡ÁÑ3br’¢±Âð$CSƒ²á4c“%DsÓñÿÄ   ÿÄ *  !1AQa‘"2q3±ð#b¡ÿÚ   ? ¼QxJQaÍuò¸Zö Úü8,ÐÚú "SSn<rçù–´âE—^ªBÖ9À\†¸ÔÁT­ÃÛ5 ëd´³Í#Ý;Þ38œî ¶H£M:wÎ3…³…âpÔF&‚FK¸9„â4àGEõªfÿ ‘ñ(ßw­pŽF|È¥ù®häðÍѶ¹‘[ÒinÙW¶ùñY˜Q{›K"išÒ[Ú8žë\F¹@-?v"ÔU”,ìöžkÿ {I‡£šÍ?e ríV ?> ......................................... ............................................................................. ÿØÿà JFIF    ÿÛ „  ( %!1!%)+//.383,7(-.+  -%%-////---/-.+/--+------/------/--0+--/-/-----.-----ÿÀ  ¥2" ÿÄ     ÿÄ J    ! 1AQ"aq2‘#BR‚¡ÁÑ3br’¢±Âð$CSƒ²á4c“%DsÓñÿÄ   ÿÄ *  !1AQa‘"2q3±ð#b¡ÿÚ   ? ¼QxJQaÍuò¸Zö Úü8,ÐÚú "SSn<rçù–´âE—^ªBÖ9À\†¸ÔÁT­ÃÛ5 ëd´³Í#Ý;Þ38œî ¶H£M:wÎ3…³…âpÔF&‚FK¸9„â4àGEõªfÿ ‘ñ(ßw­pŽF|È¥ù®häðÍѶ¹‘[ÒinÙW¶ùñY˜Q{›K"išÒ[Ú8žë\F¹@-?v"ÔU”,ìöžkÿ {I‡£šÍ?e ríV ?> ......................................... ............................................................................. ???????????????????????????????????? ???????????????????????????????????? #! /usr/bin/python2.7 # Print digits of pi forever. # # The algorithm, using Python's 'long' integers ("bignums"), works # with continued fractions, and was conceived by Lambert Meertens. # # See also the ABC Programmer's Handbook, by Geurts, Meertens & Pemberton, # published by Prentice-Hall (UK) Ltd., 1990. import sys def main(): k, a, b, a1, b1 = 2, 4, 1, 12, 4 while True: # Next approximation p, q, k = k*k, 2*k+1, k+1 a, b, a1, b1 = a1, b1, p*a+q*a1, p*b+q*b1 # Print common digits d, d1 = a//b, a1//b1 while d == d1: output(d) a, a1 = 10*(a%b), 10*(a1%b1) d, d1 = a//b, a1//b1 def output(d): # Use write() to avoid spaces between the digits sys.stdout.write(str(d)) # Flush so the output is seen immediately sys.stdout.flush() if __name__ == "__main__": main()