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holmescn

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[½»Á÷] Euler ¹¤³Ì µÚØ¥¾ÅÌ⣺ÓжàÉÙ²»Í¬µÄÏî? ÒÑÓÐ4È˲ÎÓë

µÚØ¥°ËÌâÊǸöÊýѧÌâ, ³ýÁËÉú³É¾ØÕóµÄËã·¨Íâ, ºÃÏñûʲô̫¶àµÄ˼¿¼.  ËùÒÔÔÙÀ´¸öÌâ°É.

ȡָÊýº¯Êýa^b, ÆäÖÐaºÍb¶¼È¡±é[2,5]¼äµÄËùÓÐÕûÊý, ËùÓпÉÄܵÄ×éºÏ¿ÉÒԵõ½:

2^2=4, 2^3=8, 2^4=16, 2^5=32
3^2=9, 3^3=27, 3^4=81, 3^5=243
4^2=16, 4^3=64, 4^4=256, 4^5=1024
5^2=25, 5^3=125, 5^4=625, 5^5=3125

°Ñ½á¹û´ÓСµ½´óÅÅÁÐ, ²¢È¥µôÖØ¸´µÄÊý:

4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125

Ò»¹²15¸öÊý

Èç¹ûaºÍbÈ¡±é[2,100]¼äËùÓеÄÕûÊý, ÄÇ¿ÉÒԵõ½¶àÉÙ¸ö²»Í¬µÄÊý?

[ Last edited by holmescn on 2011-6-17 at 10:00 ]
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huycwork

½ð³æ (ÖøÃûдÊÖ)

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Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
dubo(½ð±Ò+1): »¶Ó­³£À´³ÌÐòÓïÑÔ°æÌÖÂÛ 2011-06-17 18:21:56
ÒýÓûØÌû:
Originally posted by libralibra at 2011-06-17 16:53:34:
¹ÖÎÒдһÐÐÁË,·Ö¿ªÐ´ºÜ¿ì
CODE:
from mytictoc import tic, toc

tic()
a = [_x for _x in [a**b for a in xrange(2,101) for b in xrange(2,101)]]
b = set(a)
print len(b)
toc()

½á¹û
...

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äöÎеÄÖÐÐÄÓÐÒ»¿é¿ÕµØ£¬¿Õ¿ÕµÄ¡£
7Â¥2011-06-17 17:01:12
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 31 ¸ö»Ø´ð

holmescn

½ð³æ (ÕýʽдÊÖ)

ºÃÏñÓÖÊǸö¹ØÓÚÖÊÊýµÄÌâ, ÄѹÖ"1+2=3"ÕâÃ´ÖØÒªÄØ.
2Â¥2011-06-17 10:07:50
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

huycwork

½ð³æ (ÖøÃûдÊÖ)

¡ï ¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
dubo(½ð±Ò+1): »¶Ó­³£À´³ÌÐòÓïÑÔ°æÌÖÂÛ 2011-06-17 18:21:22
ÒýÓûØÌû:
Originally posted by holmescn at 2011-06-17 10:07:50:
ºÃÏñÓÖÊǸö¹ØÓÚÖÊÊýµÄÌâ, ÄѹÖ"1+2=3"ÕâÃ´ÖØÒªÄØ.

û°ì·¨¿©£¬ËùÓеÄÊý¶¼ÊÇÖÊÊýÉú³ÉµÄ¡£
ÕâÌâºÃÏñҪɸÊý£¬Ç°ÃæµÄ4*4¸öÊýÖУ¬Ö»É¸µôÁË1¸öÊý£¬Ô­ÒòÊÇ2^4ºÍ4^2=2^4
¸ü´ó¹æÄ£µÄʱºò£¬¿´ÆðÀ´ÐèÒª°Ñ2~100ÄÚµÄËùÓÐËØÊýºÍºÏÊý±ê¼Ç϶¼±íʾ³ÉÖ¸ÊýµÄÐÎʽ£¬É¸µôÄÇЩָÊýÂäÔÚ2~100Ö®¼äµÄºÏÊý¡£
äöÎеÄÖÐÐÄÓÐÒ»¿é¿ÕµØ£¬¿Õ¿ÕµÄ¡£
3Â¥2011-06-17 11:41:10
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

libralibra

ÖÁ×ðľ³æ (ÖøÃûдÊÖ)

æôÆï½«¾ü

¡ï ¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
dubo(½ð±Ò+1): »¶Ó­³£À´³ÌÐòÓïÑÔ°æÌÖÂÛ 2011-06-17 18:21:33
python
CODE:
print len([_x for _x in [a**b for a in xrange(2,101) for b in xrange(2,101)] if not _x in locals()['_[1]']])

½á¹û
CODE:
9183
Elapsed time: 1.91284227 seconds

matlab/VB/python/c++/Javaд³ÌÐòÇë·¢QQÓʼþ:790404545@qq.com
4Â¥2011-06-17 15:16:03
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