| ²é¿´: 1696 | »Ø¸´: 7 | |||
| ±¾Ìû²úÉú 4 ¸ö ³ÌÐòÇ¿Ìû £¬µã»÷ÕâÀï½øÐв鿴 | |||
wangww2011ľ³æ (ÖøÃûдÊÖ)
|
[½»Á÷]
Project Euler 45 Å·À¹¤³Ì 45 Ìâ ÒÑÓÐ3È˲ÎÓë
|
||
|
ºÃ¾ÃûÓÐÈË·¢ÁË£¬ÎÒÀ´½Ó×Å·¢°É Èý½ÇÊý£¬Îå½ÇÊýºÍÁù½ÇÊý¿ÉÒÔÓÃÏÂÃæµÄ¹«Ê½²úÉú£º Èý½ÇÊý Tn=n(n+1)/2 1, 3, 6, 10, 15, ... Îå½ÇÊý Pn=n(3n-1)/2 1, 5, 12, 22, 35, ... Áù½ÇÊýl Hn=n(2n-1) 1, 6, 15, 28, 45, ... ¿ÉÒÔ֤ʵ T285 = P165 = H143 = 40755. ÇëÕÒµ½ÏÂÒ»¸öͬʱÊÇÎå½ÇÊýºÍÁù½ÇÊýµÄÈý½ÇÊý¡£ PS ËäȻûÓÐʲôÒâ˼£¬µ«ÊÇΪÁËÁ¬ÐøÐÔ£¬»¹ÊÇÖð¸ö·¢°É |
» ²ÂÄãϲ»¶
0703µ÷¼Á£¬Ò»Ö¾Ô¸Ìì½ò´óѧ319·Ö
ÒѾÓÐ7È˻ظ´
²ÄÁÏר˶(0856) 339·ÖÇóµ÷¼Á
ÒѾÓÐ9È˻ظ´
332Çóµ÷¼Á
ÒѾÓÐ14È˻ظ´
086000ÉúÎïÓëÒ½Ò©Çóµ÷¼Á
ÒѾÓÐ3È˻ظ´
081700£¬311£¬Çóµ÷¼Á
ÒѾÓÐ14È˻ظ´
308Çóµ÷¼Á
ÒѾÓÐ3È˻ظ´
316Çóµ÷¼Á
ÒѾÓÐ5È˻ظ´
Çóµ÷¼Á
ÒѾÓÐ7È˻ظ´
Ò»Ö¾Ô¸±±½»´ó²ÄÁϹ¤³Ì×Ü·Ö358Çóµ÷¼Á
ÒѾÓÐ3È˻ظ´
²ÄÁϵ÷¼Á
ÒѾÓÐ13È˻ظ´
» ±¾Ö÷ÌâÏà¹Ø¼ÛÖµÌùÍÆ¼ö£¬¶ÔÄúͬÑùÓаïÖú:
Project Euler 50 Å·À¹¤³Ì 50 Ìâ
ÒѾÓÐ12È˻ظ´
Project Euler 49 Å·À¹¤³Ì 49 Ìâ
ÒѾÓÐ5È˻ظ´
Project Euler 48 Å·À¹¤³Ì 48 Ìâ
ÒѾÓÐ30È˻ظ´
Project Euler 47 Å·À¹¤³Ì 47 Ìâ
ÒѾÓÐ4È˻ظ´
Project Euler 46 Å·À¹¤³Ì 46 Ìâ
ÒѾÓÐ8È˻ظ´
Euler ¹¤³Ì µÚÈýÊ®°ËÌâ
ÒѾÓÐ9È˻ظ´
Euler ¹¤³Ì µÚØ¥¾ÅÌ⣺ÓжàÉÙ²»Í¬µÄÏî?
ÒѾÓÐ30È˻ظ´
Euler ¹¤³Ì µÚØ¥ÁùÌ⣺×µÄÑ»·½Ú
ÒѾÓÐ9È˻ظ´
Å·À¹¤³Ì£¬µÚ¶þʮһÌ⣬¼ÆËã10000ÒÔÏÂÇ׺ÍÊýµÄºÍ¡£
ÒѾÓÐ14È˻ظ´
Euler Project Q17. Å·À¹¤³ÌµÚÊ®ÆßÌâ
ÒѾÓÐ4È˻ظ´
Euler ¹¤³ÌµÚÊ®ÁùÌ⣺2µÄ1000´Î·½µÄ¸÷ÏîºÍ
ÒѾÓÐ14È˻ظ´
Euler ¹¤³Ì µÚÊ®ÎåÌ⣺´Ó×óÉϽǵ½ÓÒϽÇÓжàÉÙÌõ·£¿
ÒѾÓÐ5È˻ظ´
Euler ¹¤³Ì µÚ14Ì⣺ÕÒ×µÄÊýÁÐ
ÒѾÓÐ9È˻ظ´
Euler Project Q13 Å·À¹¤³ÌµÚÊ®ÈýÌâ
ÒѾÓÐ20È˻ظ´
Euler Project Q12 Å·À¹¤³ÌµÚÊ®¶þÌâ
ÒѾÓÐ23È˻ظ´
Euler Project Q8. Å·À¹¤³ÌµÚ°ËÌâ
ÒѾÓÐ4È˻ظ´
Euler Project Q7. Å·À¹¤³ÌµÚÆßÌâ
ÒѾÓÐ14È˻ظ´
libralibra
ÖÁ×ðľ³æ (ÖøÃûдÊÖ)
æôÆï½«¾ü
- ³ÌÐòÇ¿Ìû: 40
- Ó¦Öú: 817 (²©ºó)
- ½ð±Ò: 12914.1
- ºì»¨: 64
- Ìû×Ó: 2238
- ÔÚÏß: 287.3Сʱ
- ³æºÅ: 696514
- ×¢²á: 2009-02-05
- רҵ: ¼ÆËã»úÈí¼þ
¡ï ¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
dubo(½ð±Ò+1): »¶ÓÌÖÂÛ 2011-09-02 19:57:09
ben_ladeng: 2011-09-02 22:50:55
ÓàÔó³É(³ÌÐòÇ¿Ìû+1): 2011-09-04 23:38:45
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
dubo(½ð±Ò+1): »¶ÓÌÖÂÛ 2011-09-02 19:57:09
ben_ladeng: 2011-09-02 22:50:55
ÓàÔó³É(³ÌÐòÇ¿Ìû+1): 2011-09-04 23:38:45
|
matlab code ,±©Á¦½â |

2Â¥2011-09-02 16:16:07
tieer
ľ³æ (ÕýʽдÊÖ)
- ³ÌÐòÇ¿Ìû: 4
- Ó¦Öú: 48 (СѧÉú)
- ½ð±Ò: 1528.2
- É¢½ð: 565
- ºì»¨: 26
- Ìû×Ó: 551
- ÔÚÏß: 739.7Сʱ
- ³æºÅ: 761880
- ×¢²á: 2009-05-02
- רҵ: ¸ß·Ö×Ó²ÄÁϽṹÓëÐÔÄÜ
¡ï ¡ï ¡ï ¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
dubo(½ð±Ò+1): »¶ÓÌÖÂÛ 2011-09-02 19:57:15
ÓàÔó³É(½ð±Ò+2, ³ÌÐòÇ¿Ìû+1): »¶Ó³£À´³ÌÐòÓïÑÔ°æ 2011-09-04 23:38:55
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
dubo(½ð±Ò+1): »¶ÓÌÖÂÛ 2011-09-02 19:57:15
ÓàÔó³É(½ð±Ò+2, ³ÌÐòÇ¿Ìû+1): »¶Ó³£À´³ÌÐòÓïÑÔ°æ 2011-09-04 23:38:55
|
×ÔѧÁËÒ»¶Îʱ¼äpython£¬µÚÒ»´Î×öÌâ°¡£¬ºÇºÇ¡£ ½á¹û T55384, P31977, H27693,the number is: 1533776805 PS:ÎÒ¶¼ÊÇÔÚ×Ôѧpython£¬²»ÊdzÌÐòÔ±¿Æ°à³öÉíµÄ£¬ÓÐʲô²»¶ÔµÄÓ×Öɵĵط½£¬¸÷λ¶àÖ¸½Ì£¬ºÇºÇ£¬¸Ð¼¤²»¾¡ [ Last edited by tieer on 2011-9-3 at 23:23 ] |

3Â¥2011-09-02 19:50:39
wangww2011
ľ³æ (ÖøÃûдÊÖ)
- ³ÌÐòÇ¿Ìû: 13
- Ó¦Öú: 11 (СѧÉú)
- ½ð±Ò: 4023.1
- É¢½ð: 2709
- ºì»¨: 18
- ɳ·¢: 1
- Ìû×Ó: 1915
- ÔÚÏß: 1537.1Сʱ
- ³æºÅ: 772953
- ×¢²á: 2009-05-17
- ÐÔ±ð: GG
- רҵ: Äý¾Û̬ÎïÐÔ II £ºµç×ӽṹ
ben_ladeng: 2011-09-02 22:51:04
|
BBcodeºÜÈÝÒ×ʹÓã¬Æ©ÈçÄãÏëÏÔʾ´úÂë ×¢ÒâÆäʵӦ¸ÃûÓпոñ£¬Îª[/code] |
4Â¥2011-09-02 21:41:53
tieer
ľ³æ (ÕýʽдÊÖ)
- ³ÌÐòÇ¿Ìû: 4
- Ó¦Öú: 48 (СѧÉú)
- ½ð±Ò: 1528.2
- É¢½ð: 565
- ºì»¨: 26
- Ìû×Ó: 551
- ÔÚÏß: 739.7Сʱ
- ³æºÅ: 761880
- ×¢²á: 2009-05-02
- רҵ: ¸ß·Ö×Ó²ÄÁϽṹÓëÐÔÄÜ

5Â¥2011-09-02 21:52:29
wangww2011
ľ³æ (ÖøÃûдÊÖ)
- ³ÌÐòÇ¿Ìû: 13
- Ó¦Öú: 11 (СѧÉú)
- ½ð±Ò: 4023.1
- É¢½ð: 2709
- ºì»¨: 18
- ɳ·¢: 1
- Ìû×Ó: 1915
- ÔÚÏß: 1537.1Сʱ
- ³æºÅ: 772953
- ×¢²á: 2009-05-17
- ÐÔ±ð: GG
- רҵ: Äý¾Û̬ÎïÐÔ II £ºµç×ӽṹ
¡ï ¡ï
ÓàÔó³É(½ð±Ò+2, ³ÌÐòÇ¿Ìû+1): лл²ÎÓëÌÖÂÛ£¡ 2011-09-04 23:39:48
ÓàÔó³É(½ð±Ò+2, ³ÌÐòÇ¿Ìû+1): лл²ÎÓëÌÖÂÛ£¡ 2011-09-04 23:39:48
|
python ͵ÀÁ°æ n=100000 Tn=[i*(i+1)/2 for i in range(285,n)] Pn=[i*(3*i-1)/2 for i in range(165,n)] Hn=[i*(2*i-1) for i in range(143,n)] print set(Tn)&set(Pn)&set(Hn) ½á¹ûΪ set([40755, 1533776805L]) ËùÒÔ1533776805¼´ÎªËùÇó |
6Â¥2011-09-03 09:41:36
huycwork
½ð³æ (ÖøÃûдÊÖ)
- ³ÌÐòÇ¿Ìû: 22
- Ó¦Öú: 0 (Ó×¶ùÔ°)
- ½ð±Ò: 953
- É¢½ð: 663
- ºì»¨: 8
- ɳ·¢: 13
- Ìû×Ó: 1080
- ÔÚÏß: 264.1Сʱ
- ³æºÅ: 1257243
- ×¢²á: 2011-04-06
- רҵ: ½ðÈÚѧ
¡ï ¡ï ¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
ÓàÔó³É(½ð±Ò+2, ³ÌÐòÇ¿Ìû+1): лл²ÎÓëÌÖÂÛ£¡ 2011-09-04 23:40:11
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
ÓàÔó³É(½ð±Ò+2, ³ÌÐòÇ¿Ìû+1): лл²ÎÓëÌÖÂÛ£¡ 2011-09-04 23:40:11
|
ÆðʼÈý½ÇÊýÊDz»ÓÃÇóµÄÈö~ Hn = 2n(2n-1)/2 = (2n-1+1)(2n-1)/2 = T(2n-1) Õâ¸öʽ×Ó˵Ã÷Áù½ÇÊýÊÇÈý½ÇÊýµÄ×Ó¼¯£¬Ö»ÐèÒªÑéÖ¤Èý½ÇÊý»òÕßÁù½ÇÊýµÄ¼¯ºÏÓëÎå½ÇÊý¼¯ºÏÏཻ¼´¿É¡£ Perl°æ£º #usr/bin/perl print join ",", grep{(sqrt(24*$_+1)+1)/6 == int((sqrt(24*$_+1)+1)/6)}map{$_* (2*$_-1)} (143..30000); NOTE£º3Â¥ÄÇλͬѧºÜÓÐÐÂÒâµØÊ¹ÓÃ%1ÕâÑùµÄÇóÓ࣬µ«ÊÇÕâ¸ö²Ù×÷½ö½öÖ»¶ÔÖ§³Ö¸¡µãÊýÇóÓàµÄÓïÑÔ²ÅÓÐЧ£¬¾ÝÎÒËùÖª£¬¾ø´ó¶àÊýµÄÓïÑÔ½öÖ§³ÖÕûÊýÇóÓ࣬ÏñPerlÀïÃæ¾ÍÐв»Í¨¡£»¹Êǵûӵ¶ÏÈcutһϡ£ if-elseÒ²²»ÊDZØÐëµÄ£¬ÒòΪ==±¾Éí·µ»ØÒ»¸öboolÖµ¡£ |

7Â¥2011-09-03 12:47:13
tieer
ľ³æ (ÕýʽдÊÖ)
- ³ÌÐòÇ¿Ìû: 4
- Ó¦Öú: 48 (СѧÉú)
- ½ð±Ò: 1528.2
- É¢½ð: 565
- ºì»¨: 26
- Ìû×Ó: 551
- ÔÚÏß: 739.7Сʱ
- ³æºÅ: 761880
- ×¢²á: 2009-05-02
- רҵ: ¸ß·Ö×Ó²ÄÁϽṹÓëÐÔÄÜ
¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû
|
7Â¥: Originally posted by huycwork at 2011-09-03 12:47:13: ÆðʼÈý½ÇÊýÊDz»ÓÃÇóµÄÈö~ Hn = 2n(2n-1)/2 = (2n-1+1)(2n-1)/2 = T(2n-1) Õâ¸öʽ×Ó˵Ã÷Áù½ÇÊýÊÇÈý½ÇÊýµÄ×Ó¼¯£¬Ö»ÐèÒªÑéÖ¤Èý½ÇÊý»òÕßÁù½ÇÊýµÄ¼¯ºÏÓëÎå½ÇÊý¼¯ºÏÏཻ¼´¿É¡£ Perl°æ£º [code] #usr/ ... ºÇºÇ£¬ÊܽÌÁË£¬ÎÒÕâpythonÊÇ×ÔѧµÄ£¬ÒÔǰ¾Íѧ¹ýÒ»µãµãcµÄƤ룬ºÇºÇ£¬²îµÄÔ¶ÄØ£¬Ð»Ð»°¡¡£ ²»¹ý»°Ëµ»ØÀ´£¬ÄãÕâÕÐת»»·¢ÏÖÁù½ÇÊýºÍÈý½ÇÊýµÄ¹ØÏµ£¬È·ÊµºÜºÃ°¡£¬ÕâÑù¼ÆËãÁ¿ÉÙÒ»°ëµÄ£¬ |

8Â¥2011-09-03 23:15:13














»Ø¸´´ËÂ¥