数学研发论坛

 找回密码
 欢迎注册
查看: 199|回复: 11

[分享] 分享一下通过LaTeX盖楼

[复制链接]
发表于 2018-11-16 12:53:40 | 显示全部楼层 |阅读模式

马上注册,结交更多好友,享用更多功能,让你轻松玩转社区。

您需要 登录 才可以下载或查看,没有帐号?欢迎注册

x
本帖最后由 mathematica 于 2018-11-16 12:56 编辑

$\frac{1}\frac{2}\frac{3}\frac{4}\frac{5}\frac{6}\frac{7}\frac{8}\frac{9}\frac{10}\frac{11}\frac{12}\frac{13}\frac{14}\frac{15}\frac{16}\frac{17}\frac{18}\frac{19}\frac{20}\frac{21}\frac{22}\frac{23}\frac{24}\frac{25}\frac{26}\frac{27}\frac{28}\frac{29}\frac{30}\frac{31}\frac{32}\frac{33}\frac{34}\frac{35}\frac{36}\frac{37}\frac{38}\frac{39}\frac{40}\frac{41}\frac{42}\frac{43}\frac{44}\frac{45}\frac{46}\frac{47}\frac{48}\frac{49}\frac{50}\frac{51}\frac{52}\frac{53}\frac{54}\frac{55}\frac{56}\frac{57}\frac{58}\frac{59}\frac{60}\frac{61}\frac{62}\frac{63}\frac{64}\frac{65}\frac{66}\frac{67}\frac{68}\frac{69}\frac{70}\frac{71}\frac{72}\frac{73}\frac{74}\frac{75}\frac{76}\frac{77}\frac{78}\frac{79}{80}$

  1. \frac{1}\frac{2}\frac{3}\frac{4}\frac{5}\frac{6}\frac{7}\frac{8}\frac{9}\frac{10}\frac{11}\frac{12}\frac{13}\frac{14}\frac{15}\frac{16}\frac{17}\frac{18}\frac{19}\frac{20}\frac{21}\frac{22}\frac{23}\frac{24}\frac{25}\frac{26}\frac{27}\frac{28}\frac{29}\frac{30}\frac{31}\frac{32}\frac{33}\frac{34}\frac{35}\frac{36}\frac{37}\frac{38}\frac{39}\frac{40}\frac{41}\frac{42}\frac{43}\frac{44}\frac{45}\frac{46}\frac{47}\frac{48}\frac{49}\frac{50}\frac{51}\frac{52}\frac{53}\frac{54}\frac{55}\frac{56}\frac{57}\frac{58}\frac{59}\frac{60}\frac{61}\frac{62}\frac{63}\frac{64}\frac{65}\frac{66}\frac{67}\frac{68}\frac{69}\frac{70}\frac{71}\frac{72}\frac{73}\frac{74}\frac{75}\frac{76}\frac{77}\frac{78}\frac{79}\frac{80}\frac{81}\frac{82}\frac{83}\frac{84}\frac{85}\frac{86}\frac{87}\frac{88}\frac{89}\frac{90}\frac{91}\frac{92}\frac{93}\frac{94}\frac{95}\frac{96}\frac{97}\frac{98}\frac{99}\frac{100}\frac{101}\frac{102}\frac{103}\frac{104}\frac{105}\frac{106}\frac{107}\frac{108}\frac{109}\frac{110}\frac{111}\frac{112}\frac{113}\frac{114}\frac{115}\frac{116}\frac{117}\frac{118}\frac{119}\frac{120}\frac{121}\frac{122}\frac{123}\frac{124}\frac{125}\frac{126}\frac{127}\frac{128}\frac{129}\frac{130}\frac{131}\frac{132}\frac{133}\frac{134}\frac{135}\frac{136}\frac{137}\frac{138}\frac{139}\frac{140}\frac{141}\frac{142}\frac{143}\frac{144}\frac{145}\frac{146}\frac{147}\frac{148}\frac{149}{150}
复制代码
  1. #通过循环,由内向外,不断增加底
  2. use strict;use warnings;use diagnostics;
  3. #指数形式的楼
  4. my $str='8^{8}';
  5. my $i=0;
  6. while($i<50)
  7. {
  8.     $str='8^{' . $str . '}';
  9.     $i++;
  10. }
  11. #输出结果
  12. open(FH,">out2.txt");
  13. print FH $str;
  14. print FH "\n";
  15. close(FH);

  16. #分数形式的楼
  17. $str="\\frac{1}";
  18. $i=2;
  19. while($i<150)
  20. {
  21.     $str=$str . "\\frac{" . "$i" . "}";
  22.     $i++;
  23. }
  24. $str=$str . "{" . "$i" . "}";
  25. #输出结果
  26. open(FH,">>out2.txt");
  27. print FH $str;
  28. close(FH);
复制代码
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2018-11-16 13:58:33 | 显示全部楼层
$\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{\frac{3}{4}}}{\frac{\frac{5}{6}}{\frac{7}{8}}}}{\frac{\frac{\frac{9}{10}}{\frac{11}{12}}}{\frac{\frac{13}{14}}{\frac{15}{16}}}}}{\frac{\frac{\frac{\frac{17}{18}}{\frac{19}{20}}}{\frac{\frac{21}{22}}{\frac{23}{24}}}}{\frac{\frac{\frac{25}{26}}{\frac{27}{28}}}{\frac{\frac{29}{30}}{\frac{31}{32}}}}}}{\frac{\frac{\frac{\frac{\frac{33}{34}}{\frac{35}{36}}}{\frac{\frac{37}{38}}{\frac{39}{40}}}}{\frac{\frac{\frac{41}{42}}{\frac{43}{44}}}{\frac{\frac{45}{46}}{\frac{47}{48}}}}}{\frac{\frac{\frac{\frac{49}{50}}{\frac{51}{52}}}{\frac{\frac{53}{54}}{\frac{55}{56}}}}{\frac{\frac{\frac{57}{58}}{\frac{59}{60}}}{\frac{\frac{61}{62}}{\frac{63}{64}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{65}{66}}{\frac{67}{68}}}{\frac{\frac{69}{70}}{\frac{71}{72}}}}{\frac{\frac{\frac{73}{74}}{\frac{75}{76}}}{\frac{\frac{77}{78}}{\frac{79}{80}}}}}{\frac{\frac{\frac{\frac{81}{82}}{\frac{83}{84}}}{\frac{\frac{85}{86}}{\frac{87}{88}}}}{\frac{\frac{\frac{89}{90}}{\frac{91}{92}}}{\frac{\frac{93}{94}}{\frac{95}{96}}}}}}{\frac{\frac{\frac{\frac{\frac{97}{98}}{\frac{99}{100}}}{\frac{\frac{101}{102}}{\frac{103}{104}}}}{\frac{\frac{\frac{105}{106}}{\frac{107}{108}}}{\frac{\frac{109}{110}}{\frac{111}{112}}}}}{\frac{\frac{\frac{\frac{113}{114}}{\frac{115}{116}}}{\frac{\frac{117}{118}}{\frac{119}{120}}}}{\frac{\frac{\frac{121}{122}}{\frac{123}{124}}}{\frac{\frac{125}{126}}{\frac{127}{128}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{129}{130}}{\frac{131}{132}}}{\frac{\frac{133}{134}}{\frac{135}{136}}}}{\frac{\frac{\frac{137}{138}}{\frac{139}{140}}}{\frac{\frac{141}{142}}{\frac{143}{144}}}}}{\frac{\frac{\frac{\frac{145}{146}}{\frac{147}{148}}}{\frac{\frac{149}{150}}{\frac{151}{152}}}}{\frac{\frac{\frac{153}{154}}{\frac{155}{156}}}{\frac{\frac{157}{158}}{\frac{159}{160}}}}}}{\frac{\frac{\frac{\frac{\frac{161}{162}}{\frac{163}{164}}}{\frac{\frac{165}{166}}{\frac{167}{168}}}}{\frac{\frac{\frac{169}{170}}{\frac{171}{172}}}{\frac{\frac{173}{174}}{\frac{175}{176}}}}}{\frac{\frac{\frac{\frac{177}{178}}{\frac{179}{180}}}{\frac{\frac{181}{182}}{\frac{183}{184}}}}{\frac{\frac{\frac{185}{186}}{\frac{187}{188}}}{\frac{\frac{189}{190}}{\frac{191}{192}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{193}{194}}{\frac{195}{196}}}{\frac{\frac{197}{198}}{\frac{199}{200}}}}{\frac{\frac{\frac{201}{202}}{\frac{203}{204}}}{\frac{\frac{205}{206}}{\frac{207}{208}}}}}{\frac{\frac{\frac{\frac{209}{210}}{\frac{211}{212}}}{\frac{\frac{213}{214}}{\frac{215}{216}}}}{\frac{\frac{\frac{217}{218}}{\frac{219}{220}}}{\frac{\frac{221}{222}}{\frac{223}{224}}}}}}{\frac{\frac{\frac{\frac{\frac{225}{226}}{\frac{227}{228}}}{\frac{\frac{229}{230}}{\frac{231}{232}}}}{\frac{\frac{\frac{233}{234}}{\frac{235}{236}}}{\frac{\frac{237}{238}}{\frac{239}{240}}}}}{\frac{\frac{\frac{\frac{241}{242}}{\frac{243}{244}}}{\frac{\frac{245}{246}}{\frac{247}{248}}}}{\frac{\frac{\frac{249}{250}}{\frac{251}{252}}}{\frac{\frac{253}{254}}{\frac{255}{256}}}}}}}}}{...}=\sqrt{2}/2$

\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{\frac{3}{4}}}{\frac{\frac{5}{6}}{\frac{7}{8}}}}{\frac{\frac{\frac{9}{10}}{\frac{11}{12}}}{\frac{\frac{13}{14}}{\frac{15}{16}}}}}{\frac{\frac{\frac{\frac{17}{18}}{\frac{19}{20}}}{\frac{\frac{21}{22}}{\frac{23}{24}}}}{\frac{\frac{\frac{25}{26}}{\frac{27}{28}}}{\frac{\frac{29}{30}}{\frac{31}{32}}}}}}{\frac{\frac{\frac{\frac{\frac{33}{34}}{\frac{35}{36}}}{\frac{\frac{37}{38}}{\frac{39}{40}}}}{\frac{\frac{\frac{41}{42}}{\frac{43}{44}}}{\frac{\frac{45}{46}}{\frac{47}{48}}}}}{\frac{\frac{\frac{\frac{49}{50}}{\frac{51}{52}}}{\frac{\frac{53}{54}}{\frac{55}{56}}}}{\frac{\frac{\frac{57}{58}}{\frac{59}{60}}}{\frac{\frac{61}{62}}{\frac{63}{64}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{65}{66}}{\frac{67}{68}}}{\frac{\frac{69}{70}}{\frac{71}{72}}}}{\frac{\frac{\frac{73}{74}}{\frac{75}{76}}}{\frac{\frac{77}{78}}{\frac{79}{80}}}}}{\frac{\frac{\frac{\frac{81}{82}}{\frac{83}{84}}}{\frac{\frac{85}{86}}{\frac{87}{88}}}}{\frac{\frac{\frac{89}{90}}{\frac{91}{92}}}{\frac{\frac{93}{94}}{\frac{95}{96}}}}}}{\frac{\frac{\frac{\frac{\frac{97}{98}}{\frac{99}{100}}}{\frac{\frac{101}{102}}{\frac{103}{104}}}}{\frac{\frac{\frac{105}{106}}{\frac{107}{108}}}{\frac{\frac{109}{110}}{\frac{111}{112}}}}}{\frac{\frac{\frac{\frac{113}{114}}{\frac{115}{116}}}{\frac{\frac{117}{118}}{\frac{119}{120}}}}{\frac{\frac{\frac{121}{122}}{\frac{123}{124}}}{\frac{\frac{125}{126}}{\frac{127}{128}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{129}{130}}{\frac{131}{132}}}{\frac{\frac{133}{134}}{\frac{135}{136}}}}{\frac{\frac{\frac{137}{138}}{\frac{139}{140}}}{\frac{\frac{141}{142}}{\frac{143}{144}}}}}{\frac{\frac{\frac{\frac{145}{146}}{\frac{147}{148}}}{\frac{\frac{149}{150}}{\frac{151}{152}}}}{\frac{\frac{\frac{153}{154}}{\frac{155}{156}}}{\frac{\frac{157}{158}}{\frac{159}{160}}}}}}{\frac{\frac{\frac{\frac{\frac{161}{162}}{\frac{163}{164}}}{\frac{\frac{165}{166}}{\frac{167}{168}}}}{\frac{\frac{\frac{169}{170}}{\frac{171}{172}}}{\frac{\frac{173}{174}}{\frac{175}{176}}}}}{\frac{\frac{\frac{\frac{177}{178}}{\frac{179}{180}}}{\frac{\frac{181}{182}}{\frac{183}{184}}}}{\frac{\frac{\frac{185}{186}}{\frac{187}{188}}}{\frac{\frac{189}{190}}{\frac{191}{192}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{193}{194}}{\frac{195}{196}}}{\frac{\frac{197}{198}}{\frac{199}{200}}}}{\frac{\frac{\frac{201}{202}}{\frac{203}{204}}}{\frac{\frac{205}{206}}{\frac{207}{208}}}}}{\frac{\frac{\frac{\frac{209}{210}}{\frac{211}{212}}}{\frac{\frac{213}{214}}{\frac{215}{216}}}}{\frac{\frac{\frac{217}{218}}{\frac{219}{220}}}{\frac{\frac{221}{222}}{\frac{223}{224}}}}}}{\frac{\frac{\frac{\frac{\frac{225}{226}}{\frac{227}{228}}}{\frac{\frac{229}{230}}{\frac{231}{232}}}}{\frac{\frac{\frac{233}{234}}{\frac{235}{236}}}{\frac{\frac{237}{238}}{\frac{239}{240}}}}}{\frac{\frac{\frac{\frac{241}{242}}{\frac{243}{244}}}{\frac{\frac{245}{246}}{\frac{247}{248}}}}{\frac{\frac{\frac{249}{250}}{\frac{251}{252}}}{\frac{\frac{253}{254}}{\frac{255}{256}}}}}}}}}{...}=\sqrt{2}/2

  1. #include<cstdio>

  2. int s;
  3. FILE *f;

  4. void p(int i)
  5. {
  6.         fprintf(f,"\\frac");
  7.         if(!i)fprintf(f,"{%d}{%d}",s+1,s+2),s+=2;
  8.         else fprintf(f,"{"),p(i-1),fprintf(f,"}{"),p(i-1),fprintf(f,"}");
  9. }

  10. int main()
  11. {
  12.         f=fopen("d:\\frac.txt","w");
  13.         fprintf(f,"\frac{"),p(7),fprintf(f,"}{...}=\sqrt{2}/2");
  14.         fclose(f);
  15.         return 0;
  16. }
复制代码


上述式子的极限值竟然恰好是$\sqrt{2}/2$,如何证明?

点评

我也写出了同样功能的代码,你似乎利用了递归,我用的是perl,我感觉我的代码更好理解。  发表于 2018-11-23 10:17
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2018-11-16 16:16:56 | 显示全部楼层
KeyTo9_Fans 发表于 2018-11-16 13:58
$\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{\frac{3}{4}}}{\frac{\frac{5}{6}}{\frac ...

$\sqrt{1+\sqrt{2+\sqrt{3+\sqrt{4+\sqrt{5+\sqrt{6+\sqrt{7+\sqrt{8+\sqrt{9+\sqrt{10+\sqrt{11+\sqrt{12+\sqrt{13+\sqrt{14+\sqrt{15+\sqrt{16+\sqrt{17+\sqrt{18+\sqrt{19+\sqrt{20+\sqrt{21+\sqrt{22+\sqrt{23+\sqrt{24+\sqrt{25+\sqrt{26+\sqrt{27+\sqrt{28+\sqrt{29+\sqrt{30+\sqrt{31+\sqrt{32+\sqrt{33+\sqrt{34+\sqrt{35+\sqrt{36+\sqrt{37+\sqrt{38+\sqrt{39+\sqrt{40+\sqrt{41+\sqrt{42+\sqrt{43+\sqrt{44+\sqrt{45+\sqrt{46+\sqrt{47+\sqrt{48+\sqrt{49+\sqrt{50}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$
  1. \sqrt{1+\sqrt{2+\sqrt{3+\sqrt{4+\sqrt{5+\sqrt{6+\sqrt{7+\sqrt{8+\sqrt{9+\sqrt{10+\sqrt{11+\sqrt{12+\sqrt{13+\sqrt{14+\sqrt{15+\sqrt{16+\sqrt{17+\sqrt{18+\sqrt{19+\sqrt{20+\sqrt{21+\sqrt{22+\sqrt{23+\sqrt{24+\sqrt{25+\sqrt{26+\sqrt{27+\sqrt{28+\sqrt{29+\sqrt{30+\sqrt{31+\sqrt{32+\sqrt{33+\sqrt{34+\sqrt{35+\sqrt{36+\sqrt{37+\sqrt{38+\sqrt{39+\sqrt{40+\sqrt{41+\sqrt{42+\sqrt{43+\sqrt{44+\sqrt{45+\sqrt{46+\sqrt{47+\sqrt{48+\sqrt{49+\sqrt{50}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}
复制代码


perl语言代码
  1. #通过循环,由内向外,不断增加底
  2. use strict;use warnings;use diagnostics;
  3. #开平方
  4. my $i=50;
  5. my $str="\\sqrt{$i}";
  6. $i--;
  7. while($i>1)
  8. {
  9.     $str="\\sqrt{$i+" . $str . '}';
  10.     $i--;
  11. }
  12. $str="\\sqrt{$i+" . $str . '}';
  13. #输出结果
  14. open(FH,">out2.txt");
  15. print FH $str;
  16. close(FH);
复制代码

毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2018-11-16 16:19:41 | 显示全部楼层
KeyTo9_Fans 发表于 2018-11-16 13:58
$\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{\frac{3}{4}}}{\frac{\frac{5}{6}}{\frac ...

不知道你这表达式是什么意思,我区分不了分子分母
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2018-11-16 16:25:07 | 显示全部楼层
本帖最后由 mathematica 于 2018-11-16 16:33 编辑

\[\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{3}}{4}}{5}}{6}}{7}}{8}}{9}}{10}}{11}}{12}}{13}}{14}}{15}}{16}}{17}}{18}}{19}}{20}}{21}}{22}}{23}}{24}}{25}}{26}}{27}}{28}}{29}}{30}}{31}}{32}}{33}}{34}}{35}}{36}}{37}}{38}}{39}}{40}}{41}}{42}}{43}}{44}}{45}}{46}}{47}}{48}}{49}}{50}}{51}}{52}}{53}}{54}}{55}}{56}}{57}}{58}}{59}}{60}}{61}}{62}}{63}}{64}}{65}}{66}}{67}}{68}}{69}}{70}}{71}}{72}}{73}}{74}}{75}}{76}}{77}}{78}}{79}}{80}\]




  1. \frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{3}}{4}}{5}}{6}}{7}}{8}}{9}}{10}}{11}}{12}}{13}}{14}}{15}}{16}}{17}}{18}}{19}}{20}}{21}}{22}}{23}}{24}}{25}}{26}}{27}}{28}}{29}}{30}}{31}}{32}}{33}}{34}}{35}}{36}}{37}}{38}}{39}}{40}}{41}}{42}}{43}}{44}}{45}}{46}}{47}}{48}}{49}}{50}
复制代码




  1. #通过循环,由内向外,不断增加底
  2. use strict;use warnings;use diagnostics;
  3. #开平方
  4. my $str="\\frac{1}{2}";
  5. my $i=3;
  6. while($i<50)
  7. {
  8.     $str="\\frac{" . $str . "}{$i}";
  9.     $i++
  10. }
  11. $str="\\frac{" . $str . "}{$i}";
  12. #输出结果
  13. open(FH,">out2.txt");
  14. print FH $str;
  15. close(FH);
复制代码




\[\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{3}}{4}}{5}}{6}}{7}}{8}}{9}}{10}}{11}}{12}}{13}}{14}}{15}}{16}}{17}}{18}}{19}}{20}}{21}}{22}}{23}}{24}}{25}}{26}}{27}}{28}}{29}}{30}}{31}}{32}}{33}}{34}}{35}}{36}}{37}}{38}}{39}}{40}}{41}}{42}}{43}}{44}}{45}}{46}}{47}}{48}}{49}}{50}}{51}}{52}}{53}}{54}}{55}}{56}}{57}}{58}}{59}}{60}}{61}}{62}}{63}}{64}}{65}}{66}}{67}}{68}}{69}}{70}}{71}}{72}}{73}}{74}}{75}}{76}}{77}}{78}}{79}}{80}}{81}}{82}}{83}}{84}}{85}}{86}}{87}}{88}}{89}}{90}}{91}}{92}}{93}}{94}}{95}}{96}}{97}}{98}}{99}}{100}}{101}}{102}}{103}}{104}}{105}}{106}}{107}}{108}}{109}}{110}}{111}}{112}}{113}}{114}}{115}}{116}}{117}}{118}}{119}}{120}}{121}}{122}}{123}}{124}}{125}}{126}}{127}}{128}}{129}}{130}}{131}}{132}}{133}}{134}}{135}}{136}}{137}}{138}}{139}}{140}}{141}}{142}}{143}}{144}}{145}}{146}}{147}}{148}}{149}}{150}
\]

毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2018-11-16 16:34:57 | 显示全部楼层
\[\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{3}}{4}}{5}}{6}}{7}}{8}}{9}}{10}}{11}}{12}}{13}}{14}}{15}}{16}}{17}}{18}}{19}}{20}}{21}}{22}}{23}}{24}}{25}}{26}}{27}}{28}}{29}}{30}}{31}}{32}}{33}}{34}}{35}}{36}}{37}}{38}}{39}}{40}}{41}}{42}}{43}}{44}}{45}}{46}}{47}}{48}}{49}}{50}}{51}}{52}}{53}}{54}}{55}}{56}}{57}}{58}}{59}}{60}}{61}}{62}}{63}}{64}}{65}}{66}}{67}}{68}}{69}}{70}}{71}}{72}}{73}}{74}}{75}}{76}}{77}}{78}}{79}}{80}}{81}}{82}}{83}}{84}}{85}}{86}}{87}}{88}}{89}}{90}}{91}}{92}}{93}}{94}}{95}}{96}}{97}}{98}}{99}}{100}}{101}}{102}}{103}}{104}}{105}}{106}}{107}}{108}}{109}}{110}}{111}}{112}}{113}}{114}}{115}}{116}}{117}}{118}}{119}}{120}}{121}}{122}}{123}}{124}}{125}}{126}}{127}}{128}}{129}}{130}}{131}}{132}}{133}}{134}}{135}}{136}}{137}}{138}}{139}}{140}}{141}}{142}}{143}}{144}}{145}}{146}}{147}}{148}}{149}}{150}}{151}}{152}}{153}}{154}}{155}}{156}}{157}}{158}}{159}}{160}}{161}}{162}}{163}}{164}}{165}}{166}}{167}}{168}}{169}}{170}}{171}}{172}}{173}}{174}}{175}}{176}}{177}}{178}}{179}}{180}}{181}}{182}}{183}}{184}}{185}}{186}}{187}}{188}}{189}}{190}}{191}}{192}}{193}}{194}}{195}}{196}}{197}}{198}}{199}}{200}}{201}}{202}}{203}}{204}}{205}}{206}}{207}}{208}}{209}}{210}}{211}}{212}}{213}}{214}}{215}}{216}}{217}}{218}}{219}}{220}}{221}}{222}}{223}}{224}}{225}}{226}}{227}}{228}}{229}}{230}}{231}}{232}}{233}}{234}}{235}}{236}}{237}}{238}}{239}}{240}}{241}}{242}}{243}}{244}}{245}}{246}}{247}}{248}}{249}}{250}\]

点评

建议刷新一下浏览器看看效果……至少我这里看不到194以前的分子  发表于 2018-11-17 22:53
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2018-11-19 13:03:42 | 显示全部楼层
\[120^{119^{118^{117^{116^{115^{114^{113^{112^{111^{110^{109^{108^{107^{106^{105^{104^{103^{102^{101^{100^{99^{98^{97^{96^{95^{94^{93^{92^{91^{90^{89^{88^{87^{86^{85^{84^{83^{82^{81^{80^{79^{78^{77^{76^{75^{74^{73^{72^{71^{70^{69^{68^{67^{66^{65^{64^{63^{62^{61^{60^{59^{58^{57^{56^{55^{54^{53^{52^{51^{50^{49^{48^{47^{46^{45^{44^{43^{42^{41^{40^{39^{38^{37^{36^{35^{34^{33^{32^{31^{30^{29^{28^{27^{26^{25^{24^{23^{22^{21^{20^{19^{18^{17^{16^{15^{14^{13^{12^{11^{10^{9^{8^{7^{6^{5^{4^{3^{2^{1}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}\]
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2018-11-19 13:05:05 | 显示全部楼层
\[200^{199^{198^{197^{196^{195^{194^{193^{192^{191^{190^{189^{188^{187^{186^{185^{184^{183^{182^{181^{180^{179^{178^{177^{176^{175^{174^{173^{172^{171^{170^{169^{168^{167^{166^{165^{164^{163^{162^{161^{160^{159^{158^{157^{156^{155^{154^{153^{152^{151^{150^{149^{148^{147^{146^{145^{144^{143^{142^{141^{140^{139^{138^{137^{136^{135^{134^{133^{132^{131^{130^{129^{128^{127^{126^{125^{124^{123^{122^{121^{120^{119^{118^{117^{116^{115^{114^{113^{112^{111^{110^{109^{108^{107^{106^{105^{104^{103^{102^{101^{100^{99^{98^{97^{96^{95^{94^{93^{92^{91^{90^{89^{88^{87^{86^{85^{84^{83^{82^{81^{80^{79^{78^{77^{76^{75^{74^{73^{72^{71^{70^{69^{68^{67^{66^{65^{64^{63^{62^{61^{60^{59^{58^{57^{56^{55^{54^{53^{52^{51^{50^{49^{48^{47^{46^{45^{44^{43^{42^{41^{40^{39^{38^{37^{36^{35^{34^{33^{32^{31^{30^{29^{28^{27^{26^{25^{24^{23^{22^{21^{20^{19^{18^{17^{16^{15^{14^{13^{12^{11^{10^{9^{8^{7^{6^{5^{4^{3^{2^{1}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}\]
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2018-11-23 10:11:51 | 显示全部楼层
本帖最后由 mathematica 于 2018-11-23 10:13 编辑

\[\frac{\frac{\frac{1}{2}}{\frac{3}{4}}}{\frac{\frac{5}{6}}{\frac{7}{8}}}\]


perl代码
  1. use strict;use warnings;use diagnostics;
  2. my $str="\\frac{1}{2}";
  3. my $add=2;
  4. my $fm;
  5. my $i=1;
  6. while($i<3)#最大的数是2^7=128
  7. {
  8.     $fm=$str;#把分子字符串赋值给分母
  9.     $fm=~s/(\d+)/$1+$add/eg;#分母上的各个数增加$add,e表示计算
  10.     $str="\\frac{$str}{$fm}";#由分子分母得到一个新的分数
  11.     $add=$add*2;#下次增加的数乘以2,依次是2 4 8 16 32 64
  12.     $i++;
  13. }
  14. #输出结果
  15. open(FH,">out2.txt");
  16. print FH "\\[$str\\]";
  17. print FH "\n";
  18. close(FH);
复制代码
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2018-11-23 10:13:49 | 显示全部楼层
\[\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1}{2}}{\frac{3}{4}}}{\frac{\frac{5}{6}}{\frac{7}{8}}}}{\frac{\frac{\frac{9}{10}}{\frac{11}{12}}}{\frac{\frac{13}{14}}{\frac{15}{16}}}}}{\frac{\frac{\frac{\frac{17}{18}}{\frac{19}{20}}}{\frac{\frac{21}{22}}{\frac{23}{24}}}}{\frac{\frac{\frac{25}{26}}{\frac{27}{28}}}{\frac{\frac{29}{30}}{\frac{31}{32}}}}}}{\frac{\frac{\frac{\frac{\frac{33}{34}}{\frac{35}{36}}}{\frac{\frac{37}{38}}{\frac{39}{40}}}}{\frac{\frac{\frac{41}{42}}{\frac{43}{44}}}{\frac{\frac{45}{46}}{\frac{47}{48}}}}}{\frac{\frac{\frac{\frac{49}{50}}{\frac{51}{52}}}{\frac{\frac{53}{54}}{\frac{55}{56}}}}{\frac{\frac{\frac{57}{58}}{\frac{59}{60}}}{\frac{\frac{61}{62}}{\frac{63}{64}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{65}{66}}{\frac{67}{68}}}{\frac{\frac{69}{70}}{\frac{71}{72}}}}{\frac{\frac{\frac{73}{74}}{\frac{75}{76}}}{\frac{\frac{77}{78}}{\frac{79}{80}}}}}{\frac{\frac{\frac{\frac{81}{82}}{\frac{83}{84}}}{\frac{\frac{85}{86}}{\frac{87}{88}}}}{\frac{\frac{\frac{89}{90}}{\frac{91}{92}}}{\frac{\frac{93}{94}}{\frac{95}{96}}}}}}{\frac{\frac{\frac{\frac{\frac{97}{98}}{\frac{99}{100}}}{\frac{\frac{101}{102}}{\frac{103}{104}}}}{\frac{\frac{\frac{105}{106}}{\frac{107}{108}}}{\frac{\frac{109}{110}}{\frac{111}{112}}}}}{\frac{\frac{\frac{\frac{113}{114}}{\frac{115}{116}}}{\frac{\frac{117}{118}}{\frac{119}{120}}}}{\frac{\frac{\frac{121}{122}}{\frac{123}{124}}}{\frac{\frac{125}{126}}{\frac{127}{128}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{129}{130}}{\frac{131}{132}}}{\frac{\frac{133}{134}}{\frac{135}{136}}}}{\frac{\frac{\frac{137}{138}}{\frac{139}{140}}}{\frac{\frac{141}{142}}{\frac{143}{144}}}}}{\frac{\frac{\frac{\frac{145}{146}}{\frac{147}{148}}}{\frac{\frac{149}{150}}{\frac{151}{152}}}}{\frac{\frac{\frac{153}{154}}{\frac{155}{156}}}{\frac{\frac{157}{158}}{\frac{159}{160}}}}}}{\frac{\frac{\frac{\frac{\frac{161}{162}}{\frac{163}{164}}}{\frac{\frac{165}{166}}{\frac{167}{168}}}}{\frac{\frac{\frac{169}{170}}{\frac{171}{172}}}{\frac{\frac{173}{174}}{\frac{175}{176}}}}}{\frac{\frac{\frac{\frac{177}{178}}{\frac{179}{180}}}{\frac{\frac{181}{182}}{\frac{183}{184}}}}{\frac{\frac{\frac{185}{186}}{\frac{187}{188}}}{\frac{\frac{189}{190}}{\frac{191}{192}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{193}{194}}{\frac{195}{196}}}{\frac{\frac{197}{198}}{\frac{199}{200}}}}{\frac{\frac{\frac{201}{202}}{\frac{203}{204}}}{\frac{\frac{205}{206}}{\frac{207}{208}}}}}{\frac{\frac{\frac{\frac{209}{210}}{\frac{211}{212}}}{\frac{\frac{213}{214}}{\frac{215}{216}}}}{\frac{\frac{\frac{217}{218}}{\frac{219}{220}}}{\frac{\frac{221}{222}}{\frac{223}{224}}}}}}{\frac{\frac{\frac{\frac{\frac{225}{226}}{\frac{227}{228}}}{\frac{\frac{229}{230}}{\frac{231}{232}}}}{\frac{\frac{\frac{233}{234}}{\frac{235}{236}}}{\frac{\frac{237}{238}}{\frac{239}{240}}}}}{\frac{\frac{\frac{\frac{241}{242}}{\frac{243}{244}}}{\frac{\frac{245}{246}}{\frac{247}{248}}}}{\frac{\frac{\frac{249}{250}}{\frac{251}{252}}}{\frac{\frac{253}{254}}{\frac{255}{256}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{257}{258}}{\frac{259}{260}}}{\frac{\frac{261}{262}}{\frac{263}{264}}}}{\frac{\frac{\frac{265}{266}}{\frac{267}{268}}}{\frac{\frac{269}{270}}{\frac{271}{272}}}}}{\frac{\frac{\frac{\frac{273}{274}}{\frac{275}{276}}}{\frac{\frac{277}{278}}{\frac{279}{280}}}}{\frac{\frac{\frac{281}{282}}{\frac{283}{284}}}{\frac{\frac{285}{286}}{\frac{287}{288}}}}}}{\frac{\frac{\frac{\frac{\frac{289}{290}}{\frac{291}{292}}}{\frac{\frac{293}{294}}{\frac{295}{296}}}}{\frac{\frac{\frac{297}{298}}{\frac{299}{300}}}{\frac{\frac{301}{302}}{\frac{303}{304}}}}}{\frac{\frac{\frac{\frac{305}{306}}{\frac{307}{308}}}{\frac{\frac{309}{310}}{\frac{311}{312}}}}{\frac{\frac{\frac{313}{314}}{\frac{315}{316}}}{\frac{\frac{317}{318}}{\frac{319}{320}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{321}{322}}{\frac{323}{324}}}{\frac{\frac{325}{326}}{\frac{327}{328}}}}{\frac{\frac{\frac{329}{330}}{\frac{331}{332}}}{\frac{\frac{333}{334}}{\frac{335}{336}}}}}{\frac{\frac{\frac{\frac{337}{338}}{\frac{339}{340}}}{\frac{\frac{341}{342}}{\frac{343}{344}}}}{\frac{\frac{\frac{345}{346}}{\frac{347}{348}}}{\frac{\frac{349}{350}}{\frac{351}{352}}}}}}{\frac{\frac{\frac{\frac{\frac{353}{354}}{\frac{355}{356}}}{\frac{\frac{357}{358}}{\frac{359}{360}}}}{\frac{\frac{\frac{361}{362}}{\frac{363}{364}}}{\frac{\frac{365}{366}}{\frac{367}{368}}}}}{\frac{\frac{\frac{\frac{369}{370}}{\frac{371}{372}}}{\frac{\frac{373}{374}}{\frac{375}{376}}}}{\frac{\frac{\frac{377}{378}}{\frac{379}{380}}}{\frac{\frac{381}{382}}{\frac{383}{384}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{385}{386}}{\frac{387}{388}}}{\frac{\frac{389}{390}}{\frac{391}{392}}}}{\frac{\frac{\frac{393}{394}}{\frac{395}{396}}}{\frac{\frac{397}{398}}{\frac{399}{400}}}}}{\frac{\frac{\frac{\frac{401}{402}}{\frac{403}{404}}}{\frac{\frac{405}{406}}{\frac{407}{408}}}}{\frac{\frac{\frac{409}{410}}{\frac{411}{412}}}{\frac{\frac{413}{414}}{\frac{415}{416}}}}}}{\frac{\frac{\frac{\frac{\frac{417}{418}}{\frac{419}{420}}}{\frac{\frac{421}{422}}{\frac{423}{424}}}}{\frac{\frac{\frac{425}{426}}{\frac{427}{428}}}{\frac{\frac{429}{430}}{\frac{431}{432}}}}}{\frac{\frac{\frac{\frac{433}{434}}{\frac{435}{436}}}{\frac{\frac{437}{438}}{\frac{439}{440}}}}{\frac{\frac{\frac{441}{442}}{\frac{443}{444}}}{\frac{\frac{445}{446}}{\frac{447}{448}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{449}{450}}{\frac{451}{452}}}{\frac{\frac{453}{454}}{\frac{455}{456}}}}{\frac{\frac{\frac{457}{458}}{\frac{459}{460}}}{\frac{\frac{461}{462}}{\frac{463}{464}}}}}{\frac{\frac{\frac{\frac{465}{466}}{\frac{467}{468}}}{\frac{\frac{469}{470}}{\frac{471}{472}}}}{\frac{\frac{\frac{473}{474}}{\frac{475}{476}}}{\frac{\frac{477}{478}}{\frac{479}{480}}}}}}{\frac{\frac{\frac{\frac{\frac{481}{482}}{\frac{483}{484}}}{\frac{\frac{485}{486}}{\frac{487}{488}}}}{\frac{\frac{\frac{489}{490}}{\frac{491}{492}}}{\frac{\frac{493}{494}}{\frac{495}{496}}}}}{\frac{\frac{\frac{\frac{497}{498}}{\frac{499}{500}}}{\frac{\frac{501}{502}}{\frac{503}{504}}}}{\frac{\frac{\frac{505}{506}}{\frac{507}{508}}}{\frac{\frac{509}{510}}{\frac{511}{512}}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{513}{514}}{\frac{515}{516}}}{\frac{\frac{517}{518}}{\frac{519}{520}}}}{\frac{\frac{\frac{521}{522}}{\frac{523}{524}}}{\frac{\frac{525}{526}}{\frac{527}{528}}}}}{\frac{\frac{\frac{\frac{529}{530}}{\frac{531}{532}}}{\frac{\frac{533}{534}}{\frac{535}{536}}}}{\frac{\frac{\frac{537}{538}}{\frac{539}{540}}}{\frac{\frac{541}{542}}{\frac{543}{544}}}}}}{\frac{\frac{\frac{\frac{\frac{545}{546}}{\frac{547}{548}}}{\frac{\frac{549}{550}}{\frac{551}{552}}}}{\frac{\frac{\frac{553}{554}}{\frac{555}{556}}}{\frac{\frac{557}{558}}{\frac{559}{560}}}}}{\frac{\frac{\frac{\frac{561}{562}}{\frac{563}{564}}}{\frac{\frac{565}{566}}{\frac{567}{568}}}}{\frac{\frac{\frac{569}{570}}{\frac{571}{572}}}{\frac{\frac{573}{574}}{\frac{575}{576}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{577}{578}}{\frac{579}{580}}}{\frac{\frac{581}{582}}{\frac{583}{584}}}}{\frac{\frac{\frac{585}{586}}{\frac{587}{588}}}{\frac{\frac{589}{590}}{\frac{591}{592}}}}}{\frac{\frac{\frac{\frac{593}{594}}{\frac{595}{596}}}{\frac{\frac{597}{598}}{\frac{599}{600}}}}{\frac{\frac{\frac{601}{602}}{\frac{603}{604}}}{\frac{\frac{605}{606}}{\frac{607}{608}}}}}}{\frac{\frac{\frac{\frac{\frac{609}{610}}{\frac{611}{612}}}{\frac{\frac{613}{614}}{\frac{615}{616}}}}{\frac{\frac{\frac{617}{618}}{\frac{619}{620}}}{\frac{\frac{621}{622}}{\frac{623}{624}}}}}{\frac{\frac{\frac{\frac{625}{626}}{\frac{627}{628}}}{\frac{\frac{629}{630}}{\frac{631}{632}}}}{\frac{\frac{\frac{633}{634}}{\frac{635}{636}}}{\frac{\frac{637}{638}}{\frac{639}{640}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{641}{642}}{\frac{643}{644}}}{\frac{\frac{645}{646}}{\frac{647}{648}}}}{\frac{\frac{\frac{649}{650}}{\frac{651}{652}}}{\frac{\frac{653}{654}}{\frac{655}{656}}}}}{\frac{\frac{\frac{\frac{657}{658}}{\frac{659}{660}}}{\frac{\frac{661}{662}}{\frac{663}{664}}}}{\frac{\frac{\frac{665}{666}}{\frac{667}{668}}}{\frac{\frac{669}{670}}{\frac{671}{672}}}}}}{\frac{\frac{\frac{\frac{\frac{673}{674}}{\frac{675}{676}}}{\frac{\frac{677}{678}}{\frac{679}{680}}}}{\frac{\frac{\frac{681}{682}}{\frac{683}{684}}}{\frac{\frac{685}{686}}{\frac{687}{688}}}}}{\frac{\frac{\frac{\frac{689}{690}}{\frac{691}{692}}}{\frac{\frac{693}{694}}{\frac{695}{696}}}}{\frac{\frac{\frac{697}{698}}{\frac{699}{700}}}{\frac{\frac{701}{702}}{\frac{703}{704}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{705}{706}}{\frac{707}{708}}}{\frac{\frac{709}{710}}{\frac{711}{712}}}}{\frac{\frac{\frac{713}{714}}{\frac{715}{716}}}{\frac{\frac{717}{718}}{\frac{719}{720}}}}}{\frac{\frac{\frac{\frac{721}{722}}{\frac{723}{724}}}{\frac{\frac{725}{726}}{\frac{727}{728}}}}{\frac{\frac{\frac{729}{730}}{\frac{731}{732}}}{\frac{\frac{733}{734}}{\frac{735}{736}}}}}}{\frac{\frac{\frac{\frac{\frac{737}{738}}{\frac{739}{740}}}{\frac{\frac{741}{742}}{\frac{743}{744}}}}{\frac{\frac{\frac{745}{746}}{\frac{747}{748}}}{\frac{\frac{749}{750}}{\frac{751}{752}}}}}{\frac{\frac{\frac{\frac{753}{754}}{\frac{755}{756}}}{\frac{\frac{757}{758}}{\frac{759}{760}}}}{\frac{\frac{\frac{761}{762}}{\frac{763}{764}}}{\frac{\frac{765}{766}}{\frac{767}{768}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{769}{770}}{\frac{771}{772}}}{\frac{\frac{773}{774}}{\frac{775}{776}}}}{\frac{\frac{\frac{777}{778}}{\frac{779}{780}}}{\frac{\frac{781}{782}}{\frac{783}{784}}}}}{\frac{\frac{\frac{\frac{785}{786}}{\frac{787}{788}}}{\frac{\frac{789}{790}}{\frac{791}{792}}}}{\frac{\frac{\frac{793}{794}}{\frac{795}{796}}}{\frac{\frac{797}{798}}{\frac{799}{800}}}}}}{\frac{\frac{\frac{\frac{\frac{801}{802}}{\frac{803}{804}}}{\frac{\frac{805}{806}}{\frac{807}{808}}}}{\frac{\frac{\frac{809}{810}}{\frac{811}{812}}}{\frac{\frac{813}{814}}{\frac{815}{816}}}}}{\frac{\frac{\frac{\frac{817}{818}}{\frac{819}{820}}}{\frac{\frac{821}{822}}{\frac{823}{824}}}}{\frac{\frac{\frac{825}{826}}{\frac{827}{828}}}{\frac{\frac{829}{830}}{\frac{831}{832}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{833}{834}}{\frac{835}{836}}}{\frac{\frac{837}{838}}{\frac{839}{840}}}}{\frac{\frac{\frac{841}{842}}{\frac{843}{844}}}{\frac{\frac{845}{846}}{\frac{847}{848}}}}}{\frac{\frac{\frac{\frac{849}{850}}{\frac{851}{852}}}{\frac{\frac{853}{854}}{\frac{855}{856}}}}{\frac{\frac{\frac{857}{858}}{\frac{859}{860}}}{\frac{\frac{861}{862}}{\frac{863}{864}}}}}}{\frac{\frac{\frac{\frac{\frac{865}{866}}{\frac{867}{868}}}{\frac{\frac{869}{870}}{\frac{871}{872}}}}{\frac{\frac{\frac{873}{874}}{\frac{875}{876}}}{\frac{\frac{877}{878}}{\frac{879}{880}}}}}{\frac{\frac{\frac{\frac{881}{882}}{\frac{883}{884}}}{\frac{\frac{885}{886}}{\frac{887}{888}}}}{\frac{\frac{\frac{889}{890}}{\frac{891}{892}}}{\frac{\frac{893}{894}}{\frac{895}{896}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{897}{898}}{\frac{899}{900}}}{\frac{\frac{901}{902}}{\frac{903}{904}}}}{\frac{\frac{\frac{905}{906}}{\frac{907}{908}}}{\frac{\frac{909}{910}}{\frac{911}{912}}}}}{\frac{\frac{\frac{\frac{913}{914}}{\frac{915}{916}}}{\frac{\frac{917}{918}}{\frac{919}{920}}}}{\frac{\frac{\frac{921}{922}}{\frac{923}{924}}}{\frac{\frac{925}{926}}{\frac{927}{928}}}}}}{\frac{\frac{\frac{\frac{\frac{929}{930}}{\frac{931}{932}}}{\frac{\frac{933}{934}}{\frac{935}{936}}}}{\frac{\frac{\frac{937}{938}}{\frac{939}{940}}}{\frac{\frac{941}{942}}{\frac{943}{944}}}}}{\frac{\frac{\frac{\frac{945}{946}}{\frac{947}{948}}}{\frac{\frac{949}{950}}{\frac{951}{952}}}}{\frac{\frac{\frac{953}{954}}{\frac{955}{956}}}{\frac{\frac{957}{958}}{\frac{959}{960}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{961}{962}}{\frac{963}{964}}}{\frac{\frac{965}{966}}{\frac{967}{968}}}}{\frac{\frac{\frac{969}{970}}{\frac{971}{972}}}{\frac{\frac{973}{974}}{\frac{975}{976}}}}}{\frac{\frac{\frac{\frac{977}{978}}{\frac{979}{980}}}{\frac{\frac{981}{982}}{\frac{983}{984}}}}{\frac{\frac{\frac{985}{986}}{\frac{987}{988}}}{\frac{\frac{989}{990}}{\frac{991}{992}}}}}}{\frac{\frac{\frac{\frac{\frac{993}{994}}{\frac{995}{996}}}{\frac{\frac{997}{998}}{\frac{999}{1000}}}}{\frac{\frac{\frac{1001}{1002}}{\frac{1003}{1004}}}{\frac{\frac{1005}{1006}}{\frac{1007}{1008}}}}}{\frac{\frac{\frac{\frac{1009}{1010}}{\frac{1011}{1012}}}{\frac{\frac{1013}{1014}}{\frac{1015}{1016}}}}{\frac{\frac{\frac{1017}{1018}}{\frac{1019}{1020}}}{\frac{\frac{1021}{1022}}{\frac{1023}{1024}}}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1025}{1026}}{\frac{1027}{1028}}}{\frac{\frac{1029}{1030}}{\frac{1031}{1032}}}}{\frac{\frac{\frac{1033}{1034}}{\frac{1035}{1036}}}{\frac{\frac{1037}{1038}}{\frac{1039}{1040}}}}}{\frac{\frac{\frac{\frac{1041}{1042}}{\frac{1043}{1044}}}{\frac{\frac{1045}{1046}}{\frac{1047}{1048}}}}{\frac{\frac{\frac{1049}{1050}}{\frac{1051}{1052}}}{\frac{\frac{1053}{1054}}{\frac{1055}{1056}}}}}}{\frac{\frac{\frac{\frac{\frac{1057}{1058}}{\frac{1059}{1060}}}{\frac{\frac{1061}{1062}}{\frac{1063}{1064}}}}{\frac{\frac{\frac{1065}{1066}}{\frac{1067}{1068}}}{\frac{\frac{1069}{1070}}{\frac{1071}{1072}}}}}{\frac{\frac{\frac{\frac{1073}{1074}}{\frac{1075}{1076}}}{\frac{\frac{1077}{1078}}{\frac{1079}{1080}}}}{\frac{\frac{\frac{1081}{1082}}{\frac{1083}{1084}}}{\frac{\frac{1085}{1086}}{\frac{1087}{1088}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{1089}{1090}}{\frac{1091}{1092}}}{\frac{\frac{1093}{1094}}{\frac{1095}{1096}}}}{\frac{\frac{\frac{1097}{1098}}{\frac{1099}{1100}}}{\frac{\frac{1101}{1102}}{\frac{1103}{1104}}}}}{\frac{\frac{\frac{\frac{1105}{1106}}{\frac{1107}{1108}}}{\frac{\frac{1109}{1110}}{\frac{1111}{1112}}}}{\frac{\frac{\frac{1113}{1114}}{\frac{1115}{1116}}}{\frac{\frac{1117}{1118}}{\frac{1119}{1120}}}}}}{\frac{\frac{\frac{\frac{\frac{1121}{1122}}{\frac{1123}{1124}}}{\frac{\frac{1125}{1126}}{\frac{1127}{1128}}}}{\frac{\frac{\frac{1129}{1130}}{\frac{1131}{1132}}}{\frac{\frac{1133}{1134}}{\frac{1135}{1136}}}}}{\frac{\frac{\frac{\frac{1137}{1138}}{\frac{1139}{1140}}}{\frac{\frac{1141}{1142}}{\frac{1143}{1144}}}}{\frac{\frac{\frac{1145}{1146}}{\frac{1147}{1148}}}{\frac{\frac{1149}{1150}}{\frac{1151}{1152}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1153}{1154}}{\frac{1155}{1156}}}{\frac{\frac{1157}{1158}}{\frac{1159}{1160}}}}{\frac{\frac{\frac{1161}{1162}}{\frac{1163}{1164}}}{\frac{\frac{1165}{1166}}{\frac{1167}{1168}}}}}{\frac{\frac{\frac{\frac{1169}{1170}}{\frac{1171}{1172}}}{\frac{\frac{1173}{1174}}{\frac{1175}{1176}}}}{\frac{\frac{\frac{1177}{1178}}{\frac{1179}{1180}}}{\frac{\frac{1181}{1182}}{\frac{1183}{1184}}}}}}{\frac{\frac{\frac{\frac{\frac{1185}{1186}}{\frac{1187}{1188}}}{\frac{\frac{1189}{1190}}{\frac{1191}{1192}}}}{\frac{\frac{\frac{1193}{1194}}{\frac{1195}{1196}}}{\frac{\frac{1197}{1198}}{\frac{1199}{1200}}}}}{\frac{\frac{\frac{\frac{1201}{1202}}{\frac{1203}{1204}}}{\frac{\frac{1205}{1206}}{\frac{1207}{1208}}}}{\frac{\frac{\frac{1209}{1210}}{\frac{1211}{1212}}}{\frac{\frac{1213}{1214}}{\frac{1215}{1216}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{1217}{1218}}{\frac{1219}{1220}}}{\frac{\frac{1221}{1222}}{\frac{1223}{1224}}}}{\frac{\frac{\frac{1225}{1226}}{\frac{1227}{1228}}}{\frac{\frac{1229}{1230}}{\frac{1231}{1232}}}}}{\frac{\frac{\frac{\frac{1233}{1234}}{\frac{1235}{1236}}}{\frac{\frac{1237}{1238}}{\frac{1239}{1240}}}}{\frac{\frac{\frac{1241}{1242}}{\frac{1243}{1244}}}{\frac{\frac{1245}{1246}}{\frac{1247}{1248}}}}}}{\frac{\frac{\frac{\frac{\frac{1249}{1250}}{\frac{1251}{1252}}}{\frac{\frac{1253}{1254}}{\frac{1255}{1256}}}}{\frac{\frac{\frac{1257}{1258}}{\frac{1259}{1260}}}{\frac{\frac{1261}{1262}}{\frac{1263}{1264}}}}}{\frac{\frac{\frac{\frac{1265}{1266}}{\frac{1267}{1268}}}{\frac{\frac{1269}{1270}}{\frac{1271}{1272}}}}{\frac{\frac{\frac{1273}{1274}}{\frac{1275}{1276}}}{\frac{\frac{1277}{1278}}{\frac{1279}{1280}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1281}{1282}}{\frac{1283}{1284}}}{\frac{\frac{1285}{1286}}{\frac{1287}{1288}}}}{\frac{\frac{\frac{1289}{1290}}{\frac{1291}{1292}}}{\frac{\frac{1293}{1294}}{\frac{1295}{1296}}}}}{\frac{\frac{\frac{\frac{1297}{1298}}{\frac{1299}{1300}}}{\frac{\frac{1301}{1302}}{\frac{1303}{1304}}}}{\frac{\frac{\frac{1305}{1306}}{\frac{1307}{1308}}}{\frac{\frac{1309}{1310}}{\frac{1311}{1312}}}}}}{\frac{\frac{\frac{\frac{\frac{1313}{1314}}{\frac{1315}{1316}}}{\frac{\frac{1317}{1318}}{\frac{1319}{1320}}}}{\frac{\frac{\frac{1321}{1322}}{\frac{1323}{1324}}}{\frac{\frac{1325}{1326}}{\frac{1327}{1328}}}}}{\frac{\frac{\frac{\frac{1329}{1330}}{\frac{1331}{1332}}}{\frac{\frac{1333}{1334}}{\frac{1335}{1336}}}}{\frac{\frac{\frac{1337}{1338}}{\frac{1339}{1340}}}{\frac{\frac{1341}{1342}}{\frac{1343}{1344}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{1345}{1346}}{\frac{1347}{1348}}}{\frac{\frac{1349}{1350}}{\frac{1351}{1352}}}}{\frac{\frac{\frac{1353}{1354}}{\frac{1355}{1356}}}{\frac{\frac{1357}{1358}}{\frac{1359}{1360}}}}}{\frac{\frac{\frac{\frac{1361}{1362}}{\frac{1363}{1364}}}{\frac{\frac{1365}{1366}}{\frac{1367}{1368}}}}{\frac{\frac{\frac{1369}{1370}}{\frac{1371}{1372}}}{\frac{\frac{1373}{1374}}{\frac{1375}{1376}}}}}}{\frac{\frac{\frac{\frac{\frac{1377}{1378}}{\frac{1379}{1380}}}{\frac{\frac{1381}{1382}}{\frac{1383}{1384}}}}{\frac{\frac{\frac{1385}{1386}}{\frac{1387}{1388}}}{\frac{\frac{1389}{1390}}{\frac{1391}{1392}}}}}{\frac{\frac{\frac{\frac{1393}{1394}}{\frac{1395}{1396}}}{\frac{\frac{1397}{1398}}{\frac{1399}{1400}}}}{\frac{\frac{\frac{1401}{1402}}{\frac{1403}{1404}}}{\frac{\frac{1405}{1406}}{\frac{1407}{1408}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1409}{1410}}{\frac{1411}{1412}}}{\frac{\frac{1413}{1414}}{\frac{1415}{1416}}}}{\frac{\frac{\frac{1417}{1418}}{\frac{1419}{1420}}}{\frac{\frac{1421}{1422}}{\frac{1423}{1424}}}}}{\frac{\frac{\frac{\frac{1425}{1426}}{\frac{1427}{1428}}}{\frac{\frac{1429}{1430}}{\frac{1431}{1432}}}}{\frac{\frac{\frac{1433}{1434}}{\frac{1435}{1436}}}{\frac{\frac{1437}{1438}}{\frac{1439}{1440}}}}}}{\frac{\frac{\frac{\frac{\frac{1441}{1442}}{\frac{1443}{1444}}}{\frac{\frac{1445}{1446}}{\frac{1447}{1448}}}}{\frac{\frac{\frac{1449}{1450}}{\frac{1451}{1452}}}{\frac{\frac{1453}{1454}}{\frac{1455}{1456}}}}}{\frac{\frac{\frac{\frac{1457}{1458}}{\frac{1459}{1460}}}{\frac{\frac{1461}{1462}}{\frac{1463}{1464}}}}{\frac{\frac{\frac{1465}{1466}}{\frac{1467}{1468}}}{\frac{\frac{1469}{1470}}{\frac{1471}{1472}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{1473}{1474}}{\frac{1475}{1476}}}{\frac{\frac{1477}{1478}}{\frac{1479}{1480}}}}{\frac{\frac{\frac{1481}{1482}}{\frac{1483}{1484}}}{\frac{\frac{1485}{1486}}{\frac{1487}{1488}}}}}{\frac{\frac{\frac{\frac{1489}{1490}}{\frac{1491}{1492}}}{\frac{\frac{1493}{1494}}{\frac{1495}{1496}}}}{\frac{\frac{\frac{1497}{1498}}{\frac{1499}{1500}}}{\frac{\frac{1501}{1502}}{\frac{1503}{1504}}}}}}{\frac{\frac{\frac{\frac{\frac{1505}{1506}}{\frac{1507}{1508}}}{\frac{\frac{1509}{1510}}{\frac{1511}{1512}}}}{\frac{\frac{\frac{1513}{1514}}{\frac{1515}{1516}}}{\frac{\frac{1517}{1518}}{\frac{1519}{1520}}}}}{\frac{\frac{\frac{\frac{1521}{1522}}{\frac{1523}{1524}}}{\frac{\frac{1525}{1526}}{\frac{1527}{1528}}}}{\frac{\frac{\frac{1529}{1530}}{\frac{1531}{1532}}}{\frac{\frac{1533}{1534}}{\frac{1535}{1536}}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1537}{1538}}{\frac{1539}{1540}}}{\frac{\frac{1541}{1542}}{\frac{1543}{1544}}}}{\frac{\frac{\frac{1545}{1546}}{\frac{1547}{1548}}}{\frac{\frac{1549}{1550}}{\frac{1551}{1552}}}}}{\frac{\frac{\frac{\frac{1553}{1554}}{\frac{1555}{1556}}}{\frac{\frac{1557}{1558}}{\frac{1559}{1560}}}}{\frac{\frac{\frac{1561}{1562}}{\frac{1563}{1564}}}{\frac{\frac{1565}{1566}}{\frac{1567}{1568}}}}}}{\frac{\frac{\frac{\frac{\frac{1569}{1570}}{\frac{1571}{1572}}}{\frac{\frac{1573}{1574}}{\frac{1575}{1576}}}}{\frac{\frac{\frac{1577}{1578}}{\frac{1579}{1580}}}{\frac{\frac{1581}{1582}}{\frac{1583}{1584}}}}}{\frac{\frac{\frac{\frac{1585}{1586}}{\frac{1587}{1588}}}{\frac{\frac{1589}{1590}}{\frac{1591}{1592}}}}{\frac{\frac{\frac{1593}{1594}}{\frac{1595}{1596}}}{\frac{\frac{1597}{1598}}{\frac{1599}{1600}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{1601}{1602}}{\frac{1603}{1604}}}{\frac{\frac{1605}{1606}}{\frac{1607}{1608}}}}{\frac{\frac{\frac{1609}{1610}}{\frac{1611}{1612}}}{\frac{\frac{1613}{1614}}{\frac{1615}{1616}}}}}{\frac{\frac{\frac{\frac{1617}{1618}}{\frac{1619}{1620}}}{\frac{\frac{1621}{1622}}{\frac{1623}{1624}}}}{\frac{\frac{\frac{1625}{1626}}{\frac{1627}{1628}}}{\frac{\frac{1629}{1630}}{\frac{1631}{1632}}}}}}{\frac{\frac{\frac{\frac{\frac{1633}{1634}}{\frac{1635}{1636}}}{\frac{\frac{1637}{1638}}{\frac{1639}{1640}}}}{\frac{\frac{\frac{1641}{1642}}{\frac{1643}{1644}}}{\frac{\frac{1645}{1646}}{\frac{1647}{1648}}}}}{\frac{\frac{\frac{\frac{1649}{1650}}{\frac{1651}{1652}}}{\frac{\frac{1653}{1654}}{\frac{1655}{1656}}}}{\frac{\frac{\frac{1657}{1658}}{\frac{1659}{1660}}}{\frac{\frac{1661}{1662}}{\frac{1663}{1664}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1665}{1666}}{\frac{1667}{1668}}}{\frac{\frac{1669}{1670}}{\frac{1671}{1672}}}}{\frac{\frac{\frac{1673}{1674}}{\frac{1675}{1676}}}{\frac{\frac{1677}{1678}}{\frac{1679}{1680}}}}}{\frac{\frac{\frac{\frac{1681}{1682}}{\frac{1683}{1684}}}{\frac{\frac{1685}{1686}}{\frac{1687}{1688}}}}{\frac{\frac{\frac{1689}{1690}}{\frac{1691}{1692}}}{\frac{\frac{1693}{1694}}{\frac{1695}{1696}}}}}}{\frac{\frac{\frac{\frac{\frac{1697}{1698}}{\frac{1699}{1700}}}{\frac{\frac{1701}{1702}}{\frac{1703}{1704}}}}{\frac{\frac{\frac{1705}{1706}}{\frac{1707}{1708}}}{\frac{\frac{1709}{1710}}{\frac{1711}{1712}}}}}{\frac{\frac{\frac{\frac{1713}{1714}}{\frac{1715}{1716}}}{\frac{\frac{1717}{1718}}{\frac{1719}{1720}}}}{\frac{\frac{\frac{1721}{1722}}{\frac{1723}{1724}}}{\frac{\frac{1725}{1726}}{\frac{1727}{1728}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{1729}{1730}}{\frac{1731}{1732}}}{\frac{\frac{1733}{1734}}{\frac{1735}{1736}}}}{\frac{\frac{\frac{1737}{1738}}{\frac{1739}{1740}}}{\frac{\frac{1741}{1742}}{\frac{1743}{1744}}}}}{\frac{\frac{\frac{\frac{1745}{1746}}{\frac{1747}{1748}}}{\frac{\frac{1749}{1750}}{\frac{1751}{1752}}}}{\frac{\frac{\frac{1753}{1754}}{\frac{1755}{1756}}}{\frac{\frac{1757}{1758}}{\frac{1759}{1760}}}}}}{\frac{\frac{\frac{\frac{\frac{1761}{1762}}{\frac{1763}{1764}}}{\frac{\frac{1765}{1766}}{\frac{1767}{1768}}}}{\frac{\frac{\frac{1769}{1770}}{\frac{1771}{1772}}}{\frac{\frac{1773}{1774}}{\frac{1775}{1776}}}}}{\frac{\frac{\frac{\frac{1777}{1778}}{\frac{1779}{1780}}}{\frac{\frac{1781}{1782}}{\frac{1783}{1784}}}}{\frac{\frac{\frac{1785}{1786}}{\frac{1787}{1788}}}{\frac{\frac{1789}{1790}}{\frac{1791}{1792}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1793}{1794}}{\frac{1795}{1796}}}{\frac{\frac{1797}{1798}}{\frac{1799}{1800}}}}{\frac{\frac{\frac{1801}{1802}}{\frac{1803}{1804}}}{\frac{\frac{1805}{1806}}{\frac{1807}{1808}}}}}{\frac{\frac{\frac{\frac{1809}{1810}}{\frac{1811}{1812}}}{\frac{\frac{1813}{1814}}{\frac{1815}{1816}}}}{\frac{\frac{\frac{1817}{1818}}{\frac{1819}{1820}}}{\frac{\frac{1821}{1822}}{\frac{1823}{1824}}}}}}{\frac{\frac{\frac{\frac{\frac{1825}{1826}}{\frac{1827}{1828}}}{\frac{\frac{1829}{1830}}{\frac{1831}{1832}}}}{\frac{\frac{\frac{1833}{1834}}{\frac{1835}{1836}}}{\frac{\frac{1837}{1838}}{\frac{1839}{1840}}}}}{\frac{\frac{\frac{\frac{1841}{1842}}{\frac{1843}{1844}}}{\frac{\frac{1845}{1846}}{\frac{1847}{1848}}}}{\frac{\frac{\frac{1849}{1850}}{\frac{1851}{1852}}}{\frac{\frac{1853}{1854}}{\frac{1855}{1856}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{1857}{1858}}{\frac{1859}{1860}}}{\frac{\frac{1861}{1862}}{\frac{1863}{1864}}}}{\frac{\frac{\frac{1865}{1866}}{\frac{1867}{1868}}}{\frac{\frac{1869}{1870}}{\frac{1871}{1872}}}}}{\frac{\frac{\frac{\frac{1873}{1874}}{\frac{1875}{1876}}}{\frac{\frac{1877}{1878}}{\frac{1879}{1880}}}}{\frac{\frac{\frac{1881}{1882}}{\frac{1883}{1884}}}{\frac{\frac{1885}{1886}}{\frac{1887}{1888}}}}}}{\frac{\frac{\frac{\frac{\frac{1889}{1890}}{\frac{1891}{1892}}}{\frac{\frac{1893}{1894}}{\frac{1895}{1896}}}}{\frac{\frac{\frac{1897}{1898}}{\frac{1899}{1900}}}{\frac{\frac{1901}{1902}}{\frac{1903}{1904}}}}}{\frac{\frac{\frac{\frac{1905}{1906}}{\frac{1907}{1908}}}{\frac{\frac{1909}{1910}}{\frac{1911}{1912}}}}{\frac{\frac{\frac{1913}{1914}}{\frac{1915}{1916}}}{\frac{\frac{1917}{1918}}{\frac{1919}{1920}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{1921}{1922}}{\frac{1923}{1924}}}{\frac{\frac{1925}{1926}}{\frac{1927}{1928}}}}{\frac{\frac{\frac{1929}{1930}}{\frac{1931}{1932}}}{\frac{\frac{1933}{1934}}{\frac{1935}{1936}}}}}{\frac{\frac{\frac{\frac{1937}{1938}}{\frac{1939}{1940}}}{\frac{\frac{1941}{1942}}{\frac{1943}{1944}}}}{\frac{\frac{\frac{1945}{1946}}{\frac{1947}{1948}}}{\frac{\frac{1949}{1950}}{\frac{1951}{1952}}}}}}{\frac{\frac{\frac{\frac{\frac{1953}{1954}}{\frac{1955}{1956}}}{\frac{\frac{1957}{1958}}{\frac{1959}{1960}}}}{\frac{\frac{\frac{1961}{1962}}{\frac{1963}{1964}}}{\frac{\frac{1965}{1966}}{\frac{1967}{1968}}}}}{\frac{\frac{\frac{\frac{1969}{1970}}{\frac{1971}{1972}}}{\frac{\frac{1973}{1974}}{\frac{1975}{1976}}}}{\frac{\frac{\frac{1977}{1978}}{\frac{1979}{1980}}}{\frac{\frac{1981}{1982}}{\frac{1983}{1984}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{1985}{1986}}{\frac{1987}{1988}}}{\frac{\frac{1989}{1990}}{\frac{1991}{1992}}}}{\frac{\frac{\frac{1993}{1994}}{\frac{1995}{1996}}}{\frac{\frac{1997}{1998}}{\frac{1999}{2000}}}}}{\frac{\frac{\frac{\frac{2001}{2002}}{\frac{2003}{2004}}}{\frac{\frac{2005}{2006}}{\frac{2007}{2008}}}}{\frac{\frac{\frac{2009}{2010}}{\frac{2011}{2012}}}{\frac{\frac{2013}{2014}}{\frac{2015}{2016}}}}}}{\frac{\frac{\frac{\frac{\frac{2017}{2018}}{\frac{2019}{2020}}}{\frac{\frac{2021}{2022}}{\frac{2023}{2024}}}}{\frac{\frac{\frac{2025}{2026}}{\frac{2027}{2028}}}{\frac{\frac{2029}{2030}}{\frac{2031}{2032}}}}}{\frac{\frac{\frac{\frac{2033}{2034}}{\frac{2035}{2036}}}{\frac{\frac{2037}{2038}}{\frac{2039}{2040}}}}{\frac{\frac{\frac{2041}{2042}}{\frac{2043}{2044}}}{\frac{\frac{2045}{2046}}{\frac{2047}{2048}}}}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{2049}{2050}}{\frac{2051}{2052}}}{\frac{\frac{2053}{2054}}{\frac{2055}{2056}}}}{\frac{\frac{\frac{2057}{2058}}{\frac{2059}{2060}}}{\frac{\frac{2061}{2062}}{\frac{2063}{2064}}}}}{\frac{\frac{\frac{\frac{2065}{2066}}{\frac{2067}{2068}}}{\frac{\frac{2069}{2070}}{\frac{2071}{2072}}}}{\frac{\frac{\frac{2073}{2074}}{\frac{2075}{2076}}}{\frac{\frac{2077}{2078}}{\frac{2079}{2080}}}}}}{\frac{\frac{\frac{\frac{\frac{2081}{2082}}{\frac{2083}{2084}}}{\frac{\frac{2085}{2086}}{\frac{2087}{2088}}}}{\frac{\frac{\frac{2089}{2090}}{\frac{2091}{2092}}}{\frac{\frac{2093}{2094}}{\frac{2095}{2096}}}}}{\frac{\frac{\frac{\frac{2097}{2098}}{\frac{2099}{2100}}}{\frac{\frac{2101}{2102}}{\frac{2103}{2104}}}}{\frac{\frac{\frac{2105}{2106}}{\frac{2107}{2108}}}{\frac{\frac{2109}{2110}}{\frac{2111}{2112}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{2113}{2114}}{\frac{2115}{2116}}}{\frac{\frac{2117}{2118}}{\frac{2119}{2120}}}}{\frac{\frac{\frac{2121}{2122}}{\frac{2123}{2124}}}{\frac{\frac{2125}{2126}}{\frac{2127}{2128}}}}}{\frac{\frac{\frac{\frac{2129}{2130}}{\frac{2131}{2132}}}{\frac{\frac{2133}{2134}}{\frac{2135}{2136}}}}{\frac{\frac{\frac{2137}{2138}}{\frac{2139}{2140}}}{\frac{\frac{2141}{2142}}{\frac{2143}{2144}}}}}}{\frac{\frac{\frac{\frac{\frac{2145}{2146}}{\frac{2147}{2148}}}{\frac{\frac{2149}{2150}}{\frac{2151}{2152}}}}{\frac{\frac{\frac{2153}{2154}}{\frac{2155}{2156}}}{\frac{\frac{2157}{2158}}{\frac{2159}{2160}}}}}{\frac{\frac{\frac{\frac{2161}{2162}}{\frac{2163}{2164}}}{\frac{\frac{2165}{2166}}{\frac{2167}{2168}}}}{\frac{\frac{\frac{2169}{2170}}{\frac{2171}{2172}}}{\frac{\frac{2173}{2174}}{\frac{2175}{2176}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{2177}{2178}}{\frac{2179}{2180}}}{\frac{\frac{2181}{2182}}{\frac{2183}{2184}}}}{\frac{\frac{\frac{2185}{2186}}{\frac{2187}{2188}}}{\frac{\frac{2189}{2190}}{\frac{2191}{2192}}}}}{\frac{\frac{\frac{\frac{2193}{2194}}{\frac{2195}{2196}}}{\frac{\frac{2197}{2198}}{\frac{2199}{2200}}}}{\frac{\frac{\frac{2201}{2202}}{\frac{2203}{2204}}}{\frac{\frac{2205}{2206}}{\frac{2207}{2208}}}}}}{\frac{\frac{\frac{\frac{\frac{2209}{2210}}{\frac{2211}{2212}}}{\frac{\frac{2213}{2214}}{\frac{2215}{2216}}}}{\frac{\frac{\frac{2217}{2218}}{\frac{2219}{2220}}}{\frac{\frac{2221}{2222}}{\frac{2223}{2224}}}}}{\frac{\frac{\frac{\frac{2225}{2226}}{\frac{2227}{2228}}}{\frac{\frac{2229}{2230}}{\frac{2231}{2232}}}}{\frac{\frac{\frac{2233}{2234}}{\frac{2235}{2236}}}{\frac{\frac{2237}{2238}}{\frac{2239}{2240}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{2241}{2242}}{\frac{2243}{2244}}}{\frac{\frac{2245}{2246}}{\frac{2247}{2248}}}}{\frac{\frac{\frac{2249}{2250}}{\frac{2251}{2252}}}{\frac{\frac{2253}{2254}}{\frac{2255}{2256}}}}}{\frac{\frac{\frac{\frac{2257}{2258}}{\frac{2259}{2260}}}{\frac{\frac{2261}{2262}}{\frac{2263}{2264}}}}{\frac{\frac{\frac{2265}{2266}}{\frac{2267}{2268}}}{\frac{\frac{2269}{2270}}{\frac{2271}{2272}}}}}}{\frac{\frac{\frac{\frac{\frac{2273}{2274}}{\frac{2275}{2276}}}{\frac{\frac{2277}{2278}}{\frac{2279}{2280}}}}{\frac{\frac{\frac{2281}{2282}}{\frac{2283}{2284}}}{\frac{\frac{2285}{2286}}{\frac{2287}{2288}}}}}{\frac{\frac{\frac{\frac{2289}{2290}}{\frac{2291}{2292}}}{\frac{\frac{2293}{2294}}{\frac{2295}{2296}}}}{\frac{\frac{\frac{2297}{2298}}{\frac{2299}{2300}}}{\frac{\frac{2301}{2302}}{\frac{2303}{2304}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{2305}{2306}}{\frac{2307}{2308}}}{\frac{\frac{2309}{2310}}{\frac{2311}{2312}}}}{\frac{\frac{\frac{2313}{2314}}{\frac{2315}{2316}}}{\frac{\frac{2317}{2318}}{\frac{2319}{2320}}}}}{\frac{\frac{\frac{\frac{2321}{2322}}{\frac{2323}{2324}}}{\frac{\frac{2325}{2326}}{\frac{2327}{2328}}}}{\frac{\frac{\frac{2329}{2330}}{\frac{2331}{2332}}}{\frac{\frac{2333}{2334}}{\frac{2335}{2336}}}}}}{\frac{\frac{\frac{\frac{\frac{2337}{2338}}{\frac{2339}{2340}}}{\frac{\frac{2341}{2342}}{\frac{2343}{2344}}}}{\frac{\frac{\frac{2345}{2346}}{\frac{2347}{2348}}}{\frac{\frac{2349}{2350}}{\frac{2351}{2352}}}}}{\frac{\frac{\frac{\frac{2353}{2354}}{\frac{2355}{2356}}}{\frac{\frac{2357}{2358}}{\frac{2359}{2360}}}}{\frac{\frac{\frac{2361}{2362}}{\frac{2363}{2364}}}{\frac{\frac{2365}{2366}}{\frac{2367}{2368}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{2369}{2370}}{\frac{2371}{2372}}}{\frac{\frac{2373}{2374}}{\frac{2375}{2376}}}}{\frac{\frac{\frac{2377}{2378}}{\frac{2379}{2380}}}{\frac{\frac{2381}{2382}}{\frac{2383}{2384}}}}}{\frac{\frac{\frac{\frac{2385}{2386}}{\frac{2387}{2388}}}{\frac{\frac{2389}{2390}}{\frac{2391}{2392}}}}{\frac{\frac{\frac{2393}{2394}}{\frac{2395}{2396}}}{\frac{\frac{2397}{2398}}{\frac{2399}{2400}}}}}}{\frac{\frac{\frac{\frac{\frac{2401}{2402}}{\frac{2403}{2404}}}{\frac{\frac{2405}{2406}}{\frac{2407}{2408}}}}{\frac{\frac{\frac{2409}{2410}}{\frac{2411}{2412}}}{\frac{\frac{2413}{2414}}{\frac{2415}{2416}}}}}{\frac{\frac{\frac{\frac{2417}{2418}}{\frac{2419}{2420}}}{\frac{\frac{2421}{2422}}{\frac{2423}{2424}}}}{\frac{\frac{\frac{2425}{2426}}{\frac{2427}{2428}}}{\frac{\frac{2429}{2430}}{\frac{2431}{2432}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{2433}{2434}}{\frac{2435}{2436}}}{\frac{\frac{2437}{2438}}{\frac{2439}{2440}}}}{\frac{\frac{\frac{2441}{2442}}{\frac{2443}{2444}}}{\frac{\frac{2445}{2446}}{\frac{2447}{2448}}}}}{\frac{\frac{\frac{\frac{2449}{2450}}{\frac{2451}{2452}}}{\frac{\frac{2453}{2454}}{\frac{2455}{2456}}}}{\frac{\frac{\frac{2457}{2458}}{\frac{2459}{2460}}}{\frac{\frac{2461}{2462}}{\frac{2463}{2464}}}}}}{\frac{\frac{\frac{\frac{\frac{2465}{2466}}{\frac{2467}{2468}}}{\frac{\frac{2469}{2470}}{\frac{2471}{2472}}}}{\frac{\frac{\frac{2473}{2474}}{\frac{2475}{2476}}}{\frac{\frac{2477}{2478}}{\frac{2479}{2480}}}}}{\frac{\frac{\frac{\frac{2481}{2482}}{\frac{2483}{2484}}}{\frac{\frac{2485}{2486}}{\frac{2487}{2488}}}}{\frac{\frac{\frac{2489}{2490}}{\frac{2491}{2492}}}{\frac{\frac{2493}{2494}}{\frac{2495}{2496}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{2497}{2498}}{\frac{2499}{2500}}}{\frac{\frac{2501}{2502}}{\frac{2503}{2504}}}}{\frac{\frac{\frac{2505}{2506}}{\frac{2507}{2508}}}{\frac{\frac{2509}{2510}}{\frac{2511}{2512}}}}}{\frac{\frac{\frac{\frac{2513}{2514}}{\frac{2515}{2516}}}{\frac{\frac{2517}{2518}}{\frac{2519}{2520}}}}{\frac{\frac{\frac{2521}{2522}}{\frac{2523}{2524}}}{\frac{\frac{2525}{2526}}{\frac{2527}{2528}}}}}}{\frac{\frac{\frac{\frac{\frac{2529}{2530}}{\frac{2531}{2532}}}{\frac{\frac{2533}{2534}}{\frac{2535}{2536}}}}{\frac{\frac{\frac{2537}{2538}}{\frac{2539}{2540}}}{\frac{\frac{2541}{2542}}{\frac{2543}{2544}}}}}{\frac{\frac{\frac{\frac{2545}{2546}}{\frac{2547}{2548}}}{\frac{\frac{2549}{2550}}{\frac{2551}{2552}}}}{\frac{\frac{\frac{2553}{2554}}{\frac{2555}{2556}}}{\frac{\frac{2557}{2558}}{\frac{2559}{2560}}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{2561}{2562}}{\frac{2563}{2564}}}{\frac{\frac{2565}{2566}}{\frac{2567}{2568}}}}{\frac{\frac{\frac{2569}{2570}}{\frac{2571}{2572}}}{\frac{\frac{2573}{2574}}{\frac{2575}{2576}}}}}{\frac{\frac{\frac{\frac{2577}{2578}}{\frac{2579}{2580}}}{\frac{\frac{2581}{2582}}{\frac{2583}{2584}}}}{\frac{\frac{\frac{2585}{2586}}{\frac{2587}{2588}}}{\frac{\frac{2589}{2590}}{\frac{2591}{2592}}}}}}{\frac{\frac{\frac{\frac{\frac{2593}{2594}}{\frac{2595}{2596}}}{\frac{\frac{2597}{2598}}{\frac{2599}{2600}}}}{\frac{\frac{\frac{2601}{2602}}{\frac{2603}{2604}}}{\frac{\frac{2605}{2606}}{\frac{2607}{2608}}}}}{\frac{\frac{\frac{\frac{2609}{2610}}{\frac{2611}{2612}}}{\frac{\frac{2613}{2614}}{\frac{2615}{2616}}}}{\frac{\frac{\frac{2617}{2618}}{\frac{2619}{2620}}}{\frac{\frac{2621}{2622}}{\frac{2623}{2624}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{2625}{2626}}{\frac{2627}{2628}}}{\frac{\frac{2629}{2630}}{\frac{2631}{2632}}}}{\frac{\frac{\frac{2633}{2634}}{\frac{2635}{2636}}}{\frac{\frac{2637}{2638}}{\frac{2639}{2640}}}}}{\frac{\frac{\frac{\frac{2641}{2642}}{\frac{2643}{2644}}}{\frac{\frac{2645}{2646}}{\frac{2647}{2648}}}}{\frac{\frac{\frac{2649}{2650}}{\frac{2651}{2652}}}{\frac{\frac{2653}{2654}}{\frac{2655}{2656}}}}}}{\frac{\frac{\frac{\frac{\frac{2657}{2658}}{\frac{2659}{2660}}}{\frac{\frac{2661}{2662}}{\frac{2663}{2664}}}}{\frac{\frac{\frac{2665}{2666}}{\frac{2667}{2668}}}{\frac{\frac{2669}{2670}}{\frac{2671}{2672}}}}}{\frac{\frac{\frac{\frac{2673}{2674}}{\frac{2675}{2676}}}{\frac{\frac{2677}{2678}}{\frac{2679}{2680}}}}{\frac{\frac{\frac{2681}{2682}}{\frac{2683}{2684}}}{\frac{\frac{2685}{2686}}{\frac{2687}{2688}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{2689}{2690}}{\frac{2691}{2692}}}{\frac{\frac{2693}{2694}}{\frac{2695}{2696}}}}{\frac{\frac{\frac{2697}{2698}}{\frac{2699}{2700}}}{\frac{\frac{2701}{2702}}{\frac{2703}{2704}}}}}{\frac{\frac{\frac{\frac{2705}{2706}}{\frac{2707}{2708}}}{\frac{\frac{2709}{2710}}{\frac{2711}{2712}}}}{\frac{\frac{\frac{2713}{2714}}{\frac{2715}{2716}}}{\frac{\frac{2717}{2718}}{\frac{2719}{2720}}}}}}{\frac{\frac{\frac{\frac{\frac{2721}{2722}}{\frac{2723}{2724}}}{\frac{\frac{2725}{2726}}{\frac{2727}{2728}}}}{\frac{\frac{\frac{2729}{2730}}{\frac{2731}{2732}}}{\frac{\frac{2733}{2734}}{\frac{2735}{2736}}}}}{\frac{\frac{\frac{\frac{2737}{2738}}{\frac{2739}{2740}}}{\frac{\frac{2741}{2742}}{\frac{2743}{2744}}}}{\frac{\frac{\frac{2745}{2746}}{\frac{2747}{2748}}}{\frac{\frac{2749}{2750}}{\frac{2751}{2752}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{2753}{2754}}{\frac{2755}{2756}}}{\frac{\frac{2757}{2758}}{\frac{2759}{2760}}}}{\frac{\frac{\frac{2761}{2762}}{\frac{2763}{2764}}}{\frac{\frac{2765}{2766}}{\frac{2767}{2768}}}}}{\frac{\frac{\frac{\frac{2769}{2770}}{\frac{2771}{2772}}}{\frac{\frac{2773}{2774}}{\frac{2775}{2776}}}}{\frac{\frac{\frac{2777}{2778}}{\frac{2779}{2780}}}{\frac{\frac{2781}{2782}}{\frac{2783}{2784}}}}}}{\frac{\frac{\frac{\frac{\frac{2785}{2786}}{\frac{2787}{2788}}}{\frac{\frac{2789}{2790}}{\frac{2791}{2792}}}}{\frac{\frac{\frac{2793}{2794}}{\frac{2795}{2796}}}{\frac{\frac{2797}{2798}}{\frac{2799}{2800}}}}}{\frac{\frac{\frac{\frac{2801}{2802}}{\frac{2803}{2804}}}{\frac{\frac{2805}{2806}}{\frac{2807}{2808}}}}{\frac{\frac{\frac{2809}{2810}}{\frac{2811}{2812}}}{\frac{\frac{2813}{2814}}{\frac{2815}{2816}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{2817}{2818}}{\frac{2819}{2820}}}{\frac{\frac{2821}{2822}}{\frac{2823}{2824}}}}{\frac{\frac{\frac{2825}{2826}}{\frac{2827}{2828}}}{\frac{\frac{2829}{2830}}{\frac{2831}{2832}}}}}{\frac{\frac{\frac{\frac{2833}{2834}}{\frac{2835}{2836}}}{\frac{\frac{2837}{2838}}{\frac{2839}{2840}}}}{\frac{\frac{\frac{2841}{2842}}{\frac{2843}{2844}}}{\frac{\frac{2845}{2846}}{\frac{2847}{2848}}}}}}{\frac{\frac{\frac{\frac{\frac{2849}{2850}}{\frac{2851}{2852}}}{\frac{\frac{2853}{2854}}{\frac{2855}{2856}}}}{\frac{\frac{\frac{2857}{2858}}{\frac{2859}{2860}}}{\frac{\frac{2861}{2862}}{\frac{2863}{2864}}}}}{\frac{\frac{\frac{\frac{2865}{2866}}{\frac{2867}{2868}}}{\frac{\frac{2869}{2870}}{\frac{2871}{2872}}}}{\frac{\frac{\frac{2873}{2874}}{\frac{2875}{2876}}}{\frac{\frac{2877}{2878}}{\frac{2879}{2880}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{2881}{2882}}{\frac{2883}{2884}}}{\frac{\frac{2885}{2886}}{\frac{2887}{2888}}}}{\frac{\frac{\frac{2889}{2890}}{\frac{2891}{2892}}}{\frac{\frac{2893}{2894}}{\frac{2895}{2896}}}}}{\frac{\frac{\frac{\frac{2897}{2898}}{\frac{2899}{2900}}}{\frac{\frac{2901}{2902}}{\frac{2903}{2904}}}}{\frac{\frac{\frac{2905}{2906}}{\frac{2907}{2908}}}{\frac{\frac{2909}{2910}}{\frac{2911}{2912}}}}}}{\frac{\frac{\frac{\frac{\frac{2913}{2914}}{\frac{2915}{2916}}}{\frac{\frac{2917}{2918}}{\frac{2919}{2920}}}}{\frac{\frac{\frac{2921}{2922}}{\frac{2923}{2924}}}{\frac{\frac{2925}{2926}}{\frac{2927}{2928}}}}}{\frac{\frac{\frac{\frac{2929}{2930}}{\frac{2931}{2932}}}{\frac{\frac{2933}{2934}}{\frac{2935}{2936}}}}{\frac{\frac{\frac{2937}{2938}}{\frac{2939}{2940}}}{\frac{\frac{2941}{2942}}{\frac{2943}{2944}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{2945}{2946}}{\frac{2947}{2948}}}{\frac{\frac{2949}{2950}}{\frac{2951}{2952}}}}{\frac{\frac{\frac{2953}{2954}}{\frac{2955}{2956}}}{\frac{\frac{2957}{2958}}{\frac{2959}{2960}}}}}{\frac{\frac{\frac{\frac{2961}{2962}}{\frac{2963}{2964}}}{\frac{\frac{2965}{2966}}{\frac{2967}{2968}}}}{\frac{\frac{\frac{2969}{2970}}{\frac{2971}{2972}}}{\frac{\frac{2973}{2974}}{\frac{2975}{2976}}}}}}{\frac{\frac{\frac{\frac{\frac{2977}{2978}}{\frac{2979}{2980}}}{\frac{\frac{2981}{2982}}{\frac{2983}{2984}}}}{\frac{\frac{\frac{2985}{2986}}{\frac{2987}{2988}}}{\frac{\frac{2989}{2990}}{\frac{2991}{2992}}}}}{\frac{\frac{\frac{\frac{2993}{2994}}{\frac{2995}{2996}}}{\frac{\frac{2997}{2998}}{\frac{2999}{3000}}}}{\frac{\frac{\frac{3001}{3002}}{\frac{3003}{3004}}}{\frac{\frac{3005}{3006}}{\frac{3007}{3008}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{3009}{3010}}{\frac{3011}{3012}}}{\frac{\frac{3013}{3014}}{\frac{3015}{3016}}}}{\frac{\frac{\frac{3017}{3018}}{\frac{3019}{3020}}}{\frac{\frac{3021}{3022}}{\frac{3023}{3024}}}}}{\frac{\frac{\frac{\frac{3025}{3026}}{\frac{3027}{3028}}}{\frac{\frac{3029}{3030}}{\frac{3031}{3032}}}}{\frac{\frac{\frac{3033}{3034}}{\frac{3035}{3036}}}{\frac{\frac{3037}{3038}}{\frac{3039}{3040}}}}}}{\frac{\frac{\frac{\frac{\frac{3041}{3042}}{\frac{3043}{3044}}}{\frac{\frac{3045}{3046}}{\frac{3047}{3048}}}}{\frac{\frac{\frac{3049}{3050}}{\frac{3051}{3052}}}{\frac{\frac{3053}{3054}}{\frac{3055}{3056}}}}}{\frac{\frac{\frac{\frac{3057}{3058}}{\frac{3059}{3060}}}{\frac{\frac{3061}{3062}}{\frac{3063}{3064}}}}{\frac{\frac{\frac{3065}{3066}}{\frac{3067}{3068}}}{\frac{\frac{3069}{3070}}{\frac{3071}{3072}}}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{3073}{3074}}{\frac{3075}{3076}}}{\frac{\frac{3077}{3078}}{\frac{3079}{3080}}}}{\frac{\frac{\frac{3081}{3082}}{\frac{3083}{3084}}}{\frac{\frac{3085}{3086}}{\frac{3087}{3088}}}}}{\frac{\frac{\frac{\frac{3089}{3090}}{\frac{3091}{3092}}}{\frac{\frac{3093}{3094}}{\frac{3095}{3096}}}}{\frac{\frac{\frac{3097}{3098}}{\frac{3099}{3100}}}{\frac{\frac{3101}{3102}}{\frac{3103}{3104}}}}}}{\frac{\frac{\frac{\frac{\frac{3105}{3106}}{\frac{3107}{3108}}}{\frac{\frac{3109}{3110}}{\frac{3111}{3112}}}}{\frac{\frac{\frac{3113}{3114}}{\frac{3115}{3116}}}{\frac{\frac{3117}{3118}}{\frac{3119}{3120}}}}}{\frac{\frac{\frac{\frac{3121}{3122}}{\frac{3123}{3124}}}{\frac{\frac{3125}{3126}}{\frac{3127}{3128}}}}{\frac{\frac{\frac{3129}{3130}}{\frac{3131}{3132}}}{\frac{\frac{3133}{3134}}{\frac{3135}{3136}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{3137}{3138}}{\frac{3139}{3140}}}{\frac{\frac{3141}{3142}}{\frac{3143}{3144}}}}{\frac{\frac{\frac{3145}{3146}}{\frac{3147}{3148}}}{\frac{\frac{3149}{3150}}{\frac{3151}{3152}}}}}{\frac{\frac{\frac{\frac{3153}{3154}}{\frac{3155}{3156}}}{\frac{\frac{3157}{3158}}{\frac{3159}{3160}}}}{\frac{\frac{\frac{3161}{3162}}{\frac{3163}{3164}}}{\frac{\frac{3165}{3166}}{\frac{3167}{3168}}}}}}{\frac{\frac{\frac{\frac{\frac{3169}{3170}}{\frac{3171}{3172}}}{\frac{\frac{3173}{3174}}{\frac{3175}{3176}}}}{\frac{\frac{\frac{3177}{3178}}{\frac{3179}{3180}}}{\frac{\frac{3181}{3182}}{\frac{3183}{3184}}}}}{\frac{\frac{\frac{\frac{3185}{3186}}{\frac{3187}{3188}}}{\frac{\frac{3189}{3190}}{\frac{3191}{3192}}}}{\frac{\frac{\frac{3193}{3194}}{\frac{3195}{3196}}}{\frac{\frac{3197}{3198}}{\frac{3199}{3200}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{3201}{3202}}{\frac{3203}{3204}}}{\frac{\frac{3205}{3206}}{\frac{3207}{3208}}}}{\frac{\frac{\frac{3209}{3210}}{\frac{3211}{3212}}}{\frac{\frac{3213}{3214}}{\frac{3215}{3216}}}}}{\frac{\frac{\frac{\frac{3217}{3218}}{\frac{3219}{3220}}}{\frac{\frac{3221}{3222}}{\frac{3223}{3224}}}}{\frac{\frac{\frac{3225}{3226}}{\frac{3227}{3228}}}{\frac{\frac{3229}{3230}}{\frac{3231}{3232}}}}}}{\frac{\frac{\frac{\frac{\frac{3233}{3234}}{\frac{3235}{3236}}}{\frac{\frac{3237}{3238}}{\frac{3239}{3240}}}}{\frac{\frac{\frac{3241}{3242}}{\frac{3243}{3244}}}{\frac{\frac{3245}{3246}}{\frac{3247}{3248}}}}}{\frac{\frac{\frac{\frac{3249}{3250}}{\frac{3251}{3252}}}{\frac{\frac{3253}{3254}}{\frac{3255}{3256}}}}{\frac{\frac{\frac{3257}{3258}}{\frac{3259}{3260}}}{\frac{\frac{3261}{3262}}{\frac{3263}{3264}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{3265}{3266}}{\frac{3267}{3268}}}{\frac{\frac{3269}{3270}}{\frac{3271}{3272}}}}{\frac{\frac{\frac{3273}{3274}}{\frac{3275}{3276}}}{\frac{\frac{3277}{3278}}{\frac{3279}{3280}}}}}{\frac{\frac{\frac{\frac{3281}{3282}}{\frac{3283}{3284}}}{\frac{\frac{3285}{3286}}{\frac{3287}{3288}}}}{\frac{\frac{\frac{3289}{3290}}{\frac{3291}{3292}}}{\frac{\frac{3293}{3294}}{\frac{3295}{3296}}}}}}{\frac{\frac{\frac{\frac{\frac{3297}{3298}}{\frac{3299}{3300}}}{\frac{\frac{3301}{3302}}{\frac{3303}{3304}}}}{\frac{\frac{\frac{3305}{3306}}{\frac{3307}{3308}}}{\frac{\frac{3309}{3310}}{\frac{3311}{3312}}}}}{\frac{\frac{\frac{\frac{3313}{3314}}{\frac{3315}{3316}}}{\frac{\frac{3317}{3318}}{\frac{3319}{3320}}}}{\frac{\frac{\frac{3321}{3322}}{\frac{3323}{3324}}}{\frac{\frac{3325}{3326}}{\frac{3327}{3328}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{3329}{3330}}{\frac{3331}{3332}}}{\frac{\frac{3333}{3334}}{\frac{3335}{3336}}}}{\frac{\frac{\frac{3337}{3338}}{\frac{3339}{3340}}}{\frac{\frac{3341}{3342}}{\frac{3343}{3344}}}}}{\frac{\frac{\frac{\frac{3345}{3346}}{\frac{3347}{3348}}}{\frac{\frac{3349}{3350}}{\frac{3351}{3352}}}}{\frac{\frac{\frac{3353}{3354}}{\frac{3355}{3356}}}{\frac{\frac{3357}{3358}}{\frac{3359}{3360}}}}}}{\frac{\frac{\frac{\frac{\frac{3361}{3362}}{\frac{3363}{3364}}}{\frac{\frac{3365}{3366}}{\frac{3367}{3368}}}}{\frac{\frac{\frac{3369}{3370}}{\frac{3371}{3372}}}{\frac{\frac{3373}{3374}}{\frac{3375}{3376}}}}}{\frac{\frac{\frac{\frac{3377}{3378}}{\frac{3379}{3380}}}{\frac{\frac{3381}{3382}}{\frac{3383}{3384}}}}{\frac{\frac{\frac{3385}{3386}}{\frac{3387}{3388}}}{\frac{\frac{3389}{3390}}{\frac{3391}{3392}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{3393}{3394}}{\frac{3395}{3396}}}{\frac{\frac{3397}{3398}}{\frac{3399}{3400}}}}{\frac{\frac{\frac{3401}{3402}}{\frac{3403}{3404}}}{\frac{\frac{3405}{3406}}{\frac{3407}{3408}}}}}{\frac{\frac{\frac{\frac{3409}{3410}}{\frac{3411}{3412}}}{\frac{\frac{3413}{3414}}{\frac{3415}{3416}}}}{\frac{\frac{\frac{3417}{3418}}{\frac{3419}{3420}}}{\frac{\frac{3421}{3422}}{\frac{3423}{3424}}}}}}{\frac{\frac{\frac{\frac{\frac{3425}{3426}}{\frac{3427}{3428}}}{\frac{\frac{3429}{3430}}{\frac{3431}{3432}}}}{\frac{\frac{\frac{3433}{3434}}{\frac{3435}{3436}}}{\frac{\frac{3437}{3438}}{\frac{3439}{3440}}}}}{\frac{\frac{\frac{\frac{3441}{3442}}{\frac{3443}{3444}}}{\frac{\frac{3445}{3446}}{\frac{3447}{3448}}}}{\frac{\frac{\frac{3449}{3450}}{\frac{3451}{3452}}}{\frac{\frac{3453}{3454}}{\frac{3455}{3456}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{3457}{3458}}{\frac{3459}{3460}}}{\frac{\frac{3461}{3462}}{\frac{3463}{3464}}}}{\frac{\frac{\frac{3465}{3466}}{\frac{3467}{3468}}}{\frac{\frac{3469}{3470}}{\frac{3471}{3472}}}}}{\frac{\frac{\frac{\frac{3473}{3474}}{\frac{3475}{3476}}}{\frac{\frac{3477}{3478}}{\frac{3479}{3480}}}}{\frac{\frac{\frac{3481}{3482}}{\frac{3483}{3484}}}{\frac{\frac{3485}{3486}}{\frac{3487}{3488}}}}}}{\frac{\frac{\frac{\frac{\frac{3489}{3490}}{\frac{3491}{3492}}}{\frac{\frac{3493}{3494}}{\frac{3495}{3496}}}}{\frac{\frac{\frac{3497}{3498}}{\frac{3499}{3500}}}{\frac{\frac{3501}{3502}}{\frac{3503}{3504}}}}}{\frac{\frac{\frac{\frac{3505}{3506}}{\frac{3507}{3508}}}{\frac{\frac{3509}{3510}}{\frac{3511}{3512}}}}{\frac{\frac{\frac{3513}{3514}}{\frac{3515}{3516}}}{\frac{\frac{3517}{3518}}{\frac{3519}{3520}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{3521}{3522}}{\frac{3523}{3524}}}{\frac{\frac{3525}{3526}}{\frac{3527}{3528}}}}{\frac{\frac{\frac{3529}{3530}}{\frac{3531}{3532}}}{\frac{\frac{3533}{3534}}{\frac{3535}{3536}}}}}{\frac{\frac{\frac{\frac{3537}{3538}}{\frac{3539}{3540}}}{\frac{\frac{3541}{3542}}{\frac{3543}{3544}}}}{\frac{\frac{\frac{3545}{3546}}{\frac{3547}{3548}}}{\frac{\frac{3549}{3550}}{\frac{3551}{3552}}}}}}{\frac{\frac{\frac{\frac{\frac{3553}{3554}}{\frac{3555}{3556}}}{\frac{\frac{3557}{3558}}{\frac{3559}{3560}}}}{\frac{\frac{\frac{3561}{3562}}{\frac{3563}{3564}}}{\frac{\frac{3565}{3566}}{\frac{3567}{3568}}}}}{\frac{\frac{\frac{\frac{3569}{3570}}{\frac{3571}{3572}}}{\frac{\frac{3573}{3574}}{\frac{3575}{3576}}}}{\frac{\frac{\frac{3577}{3578}}{\frac{3579}{3580}}}{\frac{\frac{3581}{3582}}{\frac{3583}{3584}}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{3585}{3586}}{\frac{3587}{3588}}}{\frac{\frac{3589}{3590}}{\frac{3591}{3592}}}}{\frac{\frac{\frac{3593}{3594}}{\frac{3595}{3596}}}{\frac{\frac{3597}{3598}}{\frac{3599}{3600}}}}}{\frac{\frac{\frac{\frac{3601}{3602}}{\frac{3603}{3604}}}{\frac{\frac{3605}{3606}}{\frac{3607}{3608}}}}{\frac{\frac{\frac{3609}{3610}}{\frac{3611}{3612}}}{\frac{\frac{3613}{3614}}{\frac{3615}{3616}}}}}}{\frac{\frac{\frac{\frac{\frac{3617}{3618}}{\frac{3619}{3620}}}{\frac{\frac{3621}{3622}}{\frac{3623}{3624}}}}{\frac{\frac{\frac{3625}{3626}}{\frac{3627}{3628}}}{\frac{\frac{3629}{3630}}{\frac{3631}{3632}}}}}{\frac{\frac{\frac{\frac{3633}{3634}}{\frac{3635}{3636}}}{\frac{\frac{3637}{3638}}{\frac{3639}{3640}}}}{\frac{\frac{\frac{3641}{3642}}{\frac{3643}{3644}}}{\frac{\frac{3645}{3646}}{\frac{3647}{3648}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{3649}{3650}}{\frac{3651}{3652}}}{\frac{\frac{3653}{3654}}{\frac{3655}{3656}}}}{\frac{\frac{\frac{3657}{3658}}{\frac{3659}{3660}}}{\frac{\frac{3661}{3662}}{\frac{3663}{3664}}}}}{\frac{\frac{\frac{\frac{3665}{3666}}{\frac{3667}{3668}}}{\frac{\frac{3669}{3670}}{\frac{3671}{3672}}}}{\frac{\frac{\frac{3673}{3674}}{\frac{3675}{3676}}}{\frac{\frac{3677}{3678}}{\frac{3679}{3680}}}}}}{\frac{\frac{\frac{\frac{\frac{3681}{3682}}{\frac{3683}{3684}}}{\frac{\frac{3685}{3686}}{\frac{3687}{3688}}}}{\frac{\frac{\frac{3689}{3690}}{\frac{3691}{3692}}}{\frac{\frac{3693}{3694}}{\frac{3695}{3696}}}}}{\frac{\frac{\frac{\frac{3697}{3698}}{\frac{3699}{3700}}}{\frac{\frac{3701}{3702}}{\frac{3703}{3704}}}}{\frac{\frac{\frac{3705}{3706}}{\frac{3707}{3708}}}{\frac{\frac{3709}{3710}}{\frac{3711}{3712}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{3713}{3714}}{\frac{3715}{3716}}}{\frac{\frac{3717}{3718}}{\frac{3719}{3720}}}}{\frac{\frac{\frac{3721}{3722}}{\frac{3723}{3724}}}{\frac{\frac{3725}{3726}}{\frac{3727}{3728}}}}}{\frac{\frac{\frac{\frac{3729}{3730}}{\frac{3731}{3732}}}{\frac{\frac{3733}{3734}}{\frac{3735}{3736}}}}{\frac{\frac{\frac{3737}{3738}}{\frac{3739}{3740}}}{\frac{\frac{3741}{3742}}{\frac{3743}{3744}}}}}}{\frac{\frac{\frac{\frac{\frac{3745}{3746}}{\frac{3747}{3748}}}{\frac{\frac{3749}{3750}}{\frac{3751}{3752}}}}{\frac{\frac{\frac{3753}{3754}}{\frac{3755}{3756}}}{\frac{\frac{3757}{3758}}{\frac{3759}{3760}}}}}{\frac{\frac{\frac{\frac{3761}{3762}}{\frac{3763}{3764}}}{\frac{\frac{3765}{3766}}{\frac{3767}{3768}}}}{\frac{\frac{\frac{3769}{3770}}{\frac{3771}{3772}}}{\frac{\frac{3773}{3774}}{\frac{3775}{3776}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{3777}{3778}}{\frac{3779}{3780}}}{\frac{\frac{3781}{3782}}{\frac{3783}{3784}}}}{\frac{\frac{\frac{3785}{3786}}{\frac{3787}{3788}}}{\frac{\frac{3789}{3790}}{\frac{3791}{3792}}}}}{\frac{\frac{\frac{\frac{3793}{3794}}{\frac{3795}{3796}}}{\frac{\frac{3797}{3798}}{\frac{3799}{3800}}}}{\frac{\frac{\frac{3801}{3802}}{\frac{3803}{3804}}}{\frac{\frac{3805}{3806}}{\frac{3807}{3808}}}}}}{\frac{\frac{\frac{\frac{\frac{3809}{3810}}{\frac{3811}{3812}}}{\frac{\frac{3813}{3814}}{\frac{3815}{3816}}}}{\frac{\frac{\frac{3817}{3818}}{\frac{3819}{3820}}}{\frac{\frac{3821}{3822}}{\frac{3823}{3824}}}}}{\frac{\frac{\frac{\frac{3825}{3826}}{\frac{3827}{3828}}}{\frac{\frac{3829}{3830}}{\frac{3831}{3832}}}}{\frac{\frac{\frac{3833}{3834}}{\frac{3835}{3836}}}{\frac{\frac{3837}{3838}}{\frac{3839}{3840}}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{3841}{3842}}{\frac{3843}{3844}}}{\frac{\frac{3845}{3846}}{\frac{3847}{3848}}}}{\frac{\frac{\frac{3849}{3850}}{\frac{3851}{3852}}}{\frac{\frac{3853}{3854}}{\frac{3855}{3856}}}}}{\frac{\frac{\frac{\frac{3857}{3858}}{\frac{3859}{3860}}}{\frac{\frac{3861}{3862}}{\frac{3863}{3864}}}}{\frac{\frac{\frac{3865}{3866}}{\frac{3867}{3868}}}{\frac{\frac{3869}{3870}}{\frac{3871}{3872}}}}}}{\frac{\frac{\frac{\frac{\frac{3873}{3874}}{\frac{3875}{3876}}}{\frac{\frac{3877}{3878}}{\frac{3879}{3880}}}}{\frac{\frac{\frac{3881}{3882}}{\frac{3883}{3884}}}{\frac{\frac{3885}{3886}}{\frac{3887}{3888}}}}}{\frac{\frac{\frac{\frac{3889}{3890}}{\frac{3891}{3892}}}{\frac{\frac{3893}{3894}}{\frac{3895}{3896}}}}{\frac{\frac{\frac{3897}{3898}}{\frac{3899}{3900}}}{\frac{\frac{3901}{3902}}{\frac{3903}{3904}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{3905}{3906}}{\frac{3907}{3908}}}{\frac{\frac{3909}{3910}}{\frac{3911}{3912}}}}{\frac{\frac{\frac{3913}{3914}}{\frac{3915}{3916}}}{\frac{\frac{3917}{3918}}{\frac{3919}{3920}}}}}{\frac{\frac{\frac{\frac{3921}{3922}}{\frac{3923}{3924}}}{\frac{\frac{3925}{3926}}{\frac{3927}{3928}}}}{\frac{\frac{\frac{3929}{3930}}{\frac{3931}{3932}}}{\frac{\frac{3933}{3934}}{\frac{3935}{3936}}}}}}{\frac{\frac{\frac{\frac{\frac{3937}{3938}}{\frac{3939}{3940}}}{\frac{\frac{3941}{3942}}{\frac{3943}{3944}}}}{\frac{\frac{\frac{3945}{3946}}{\frac{3947}{3948}}}{\frac{\frac{3949}{3950}}{\frac{3951}{3952}}}}}{\frac{\frac{\frac{\frac{3953}{3954}}{\frac{3955}{3956}}}{\frac{\frac{3957}{3958}}{\frac{3959}{3960}}}}{\frac{\frac{\frac{3961}{3962}}{\frac{3963}{3964}}}{\frac{\frac{3965}{3966}}{\frac{3967}{3968}}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{3969}{3970}}{\frac{3971}{3972}}}{\frac{\frac{3973}{3974}}{\frac{3975}{3976}}}}{\frac{\frac{\frac{3977}{3978}}{\frac{3979}{3980}}}{\frac{\frac{3981}{3982}}{\frac{3983}{3984}}}}}{\frac{\frac{\frac{\frac{3985}{3986}}{\frac{3987}{3988}}}{\frac{\frac{3989}{3990}}{\frac{3991}{3992}}}}{\frac{\frac{\frac{3993}{3994}}{\frac{3995}{3996}}}{\frac{\frac{3997}{3998}}{\frac{3999}{4000}}}}}}{\frac{\frac{\frac{\frac{\frac{4001}{4002}}{\frac{4003}{4004}}}{\frac{\frac{4005}{4006}}{\frac{4007}{4008}}}}{\frac{\frac{\frac{4009}{4010}}{\frac{4011}{4012}}}{\frac{\frac{4013}{4014}}{\frac{4015}{4016}}}}}{\frac{\frac{\frac{\frac{4017}{4018}}{\frac{4019}{4020}}}{\frac{\frac{4021}{4022}}{\frac{4023}{4024}}}}{\frac{\frac{\frac{4025}{4026}}{\frac{4027}{4028}}}{\frac{\frac{4029}{4030}}{\frac{4031}{4032}}}}}}}{\frac{\frac{\frac{\frac{\frac{\frac{4033}{4034}}{\frac{4035}{4036}}}{\frac{\frac{4037}{4038}}{\frac{4039}{4040}}}}{\frac{\frac{\frac{4041}{4042}}{\frac{4043}{4044}}}{\frac{\frac{4045}{4046}}{\frac{4047}{4048}}}}}{\frac{\frac{\frac{\frac{4049}{4050}}{\frac{4051}{4052}}}{\frac{\frac{4053}{4054}}{\frac{4055}{4056}}}}{\frac{\frac{\frac{4057}{4058}}{\frac{4059}{4060}}}{\frac{\frac{4061}{4062}}{\frac{4063}{4064}}}}}}{\frac{\frac{\frac{\frac{\frac{4065}{4066}}{\frac{4067}{4068}}}{\frac{\frac{4069}{4070}}{\frac{4071}{4072}}}}{\frac{\frac{\frac{4073}{4074}}{\frac{4075}{4076}}}{\frac{\frac{4077}{4078}}{\frac{4079}{4080}}}}}{\frac{\frac{\frac{\frac{4081}{4082}}{\frac{4083}{4084}}}{\frac{\frac{4085}{4086}}{\frac{4087}{4088}}}}{\frac{\frac{\frac{4089}{4090}}{\frac{4091}{4092}}}{\frac{\frac{4093}{4094}}{\frac{4095}{4096}}}}}}}}}}}}\]
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
您需要登录后才可以回帖 登录 | 欢迎注册

本版积分规则

小黑屋|手机版|数学研发网 ( 苏ICP备07505100号 )

GMT+8, 2018-12-11 04:07 , Processed in 0.061009 second(s), 17 queries .

Powered by Discuz! X3.4

© 2001-2017 Comsenz Inc.

快速回复 返回顶部 返回列表