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  1. using System;
  2.  
  3. public class Test
  4. {
  5. 	public static void Main()
  6.     {
  7. 	    for (int n = 0; n <= 1000; n += 10)
  8. 	  		Console.WriteLine(n + " = Left side: " + leftside(n) + " Right side: " + rightside(n));
  9.     }
  10.  
  11.     public static double leftside(int n)
  12.     {
  13.     	double sum = 0.0;
  14.     	for (int i = 0; i <= n; i++)
  15.     		sum += 1.0/combination(n, i);
  16.     	return sum;
  17.     }
  18.  
  19.     public static double rightside(int n)
  20.     {
  21. 	    double sum = 0.0;
  22. 	    for (int i = 1; i <= n + 1; i++)
  23. 	    	sum += Math.Pow(2,i)/(double)i;
  24. 	    sum *= (n+1)/(Math.Pow(2,n+1));
  25. 	    return sum;
  26.     }
  27.  
  28.     public static double combination(int n, int k)
  29.     {
  30. 	    double result = 1;
  31. 	    for (int i = 0; i < k; i++)
  32. 	    	result *= (n-i)/(double)(k-i);
  33. 	    return result;
  34.     }
  35. }
Success #stdin #stdout 0.18s 33888KB
comments (?)
stdin 
Standard input is empty
stdout 
0 = Left side: 1 Right side: 1
10 = Left side: 2.27460317460317 Right side: 2.27460317460317
20 = Left side: 2.11293309373805 Right side: 2.11293309373805
30 = Left side: 2.07184898792892 Right side: 2.07184898792892
40 = Left side: 2.05279212105144 Right side: 2.05279212105144
50 = Left side: 2.04174447283142 Right side: 2.04174447283142
60 = Left side: 2.0345262358959 Right side: 2.0345262358959
70 = Left side: 2.0294384859688 Right side: 2.0294384859688
80 = Left side: 2.02565860925533 Right side: 2.02565860925533
90 = Left side: 2.02273945391349 Right side: 2.02273945391349
100 = Left side: 2.02041694741201 Right side: 2.02041694741201
110 = Left side: 2.01852506027855 Right side: 2.01852506027855
120 = Left side: 2.01695415475212 Right side: 2.01695415475212
130 = Left side: 2.01562891030965 Right side: 2.01562891030965
140 = Left side: 2.01449586809448 Right side: 2.01449586809448
150 = Left side: 2.01351603428252 Right side: 2.01351603428252
160 = Left side: 2.01266029673422 Right side: 2.01266029673422
170 = Left side: 2.01190648078404 Right side: 2.01190648078404
180 = Left side: 2.01123739863681 Right side: 2.01123739863681
190 = Left side: 2.01063952194572 Right side: 2.01063952194572
200 = Left side: 2.01010205701093 Right side: 2.01010205701093
210 = Left side: 2.00961628696774 Right side: 2.00961628696774
220 = Left side: 2.0091750951579 Right side: 2.0091750951579
230 = Left side: 2.0087726140135 Right side: 2.0087726140135
240 = Left side: 2.00840396251125 Right side: 2.00840396251125
250 = Left side: 2.00806504718107 Right side: 2.00806504718107
260 = Left side: 2.00775240941529 Right side: 2.00775240941529
270 = Left side: 2.00746310697818 Right side: 2.00746310697818
280 = Left side: 2.00719462110011 Right side: 2.00719462110011
290 = Left side: 2.00694478293471 Right side: 2.00694478293471
300 = Left side: 2.00671171482881 Right side: 2.00671171482881
310 = Left side: 2.00649378303723 Right side: 2.00649378303723
320 = Left side: 2.00628955936219 Right side: 2.00628955936219
330 = Left side: 2.00609778981198 Right side: 2.00609778981198
340 = Left side: 2.00591736882478 Right side: 2.00591736882478
350 = Left side: 2.00574731793779 Right side: 2.00574731793779
360 = Left side: 2.00558676803225 Right side: 2.00558676803225
370 = Left side: 2.00543494447404 Right side: 2.00543494447404
380 = Left side: 2.00529115461333 Right side: 2.00529115461333
390 = Left side: 2.00515477721778 Right side: 2.00515477721778
400 = Left side: 2.00502525349896 Right side: 2.00502525349896
410 = Left side: 2.00490207945875 Right side: 2.00490207945875
420 = Left side: 2.00478479933441 Right side: 2.00478479933441
430 = Left side: 2.0046729999629 Right side: 2.0046729999629
440 = Left side: 2.00456630591713 Right side: 2.00456630591713
450 = Left side: 2.00446437529389 Right side: 2.00446437529389
460 = Left side: 2.00436689605357 Right side: 2.00436689605357
470 = Left side: 2.00427358282918 Right side: 2.00427358282918
480 = Left side: 2.00418417413606 Right side: 2.00418417413606
490 = Left side: 2.00409842992463 Right side: 2.00409842992463
500 = Left side: 2.00401612942805 Right side: 2.00401612942805
510 = Left side: 2.00393706926414 Right side: 2.00393706926414
520 = Left side: 2.00386106175713 Right side: 2.00386106175713
530 = Left side: 2.00378793345021 Right side: 2.00378793345021
540 = Left side: 2.00371752378391 Right side: 2.00371752378391
550 = Left side: 2.00364968391927 Right side: 2.00364968391927
560 = Left side: 2.00358427568751 Right side: 2.00358427568751
570 = Left side: 2.00352117065068 Right side: 2.00352117065068
580 = Left side: 2.00346024925982 Right side: 2.00346024925982
590 = Left side: 2.00340140009908 Right side: 2.00340140009908
600 = Left side: 2.00334451920557 Right side: 2.00334451920557
610 = Left side: 2.00328950945648 Right side: 2.00328950945648
620 = Left side: 2.00323628001561 Right side: 2.00323628001561
630 = Left side: 2.00318474583281 Right side: 2.00318474583281
640 = Left side: 2.00313482719049 Right side: 2.00313482719049
650 = Left side: 2.00308644929217 Right side: 2.00308644929217
660 = Left side: 2.00303954188846 Right side: 2.00303954188846
670 = Left side: 2.00299403893675 Right side: 2.00299403893675
680 = Left side: 2.00294987829089 Right side: 2.00294987829089
690 = Left side: 2.00290700141806 Right side: 2.00290700141806
700 = Left side: 2.0028653531399 Right side: 2.0028653531399
710 = Left side: 2.0028248813956 Right side: 2.0028248813956
720 = Left side: 2.00278553702478 Right side: 2.00278553702478
730 = Left side: 2.0027472735683 Right side: 2.0027472735683
740 = Left side: 2.00271004708521 Right side: 2.00271004708521
750 = Left side: 2.00267381598445 Right side: 2.00267381598445
760 = Left side: 2.00263854086982 Right side: 2.00263854086982
770 = Left side: 2.00260418439705 Right side: 2.00260418439705
780 = Left side: 2.00257071114197 Right side: 2.00257071114197
790 = Left side: 2.00253808747866 Right side: 2.00253808747866
800 = Left side: 2.00250628146674 Right side: 2.00250628146674
810 = Left side: 2.00247526274712 Right side: 2.00247526274712
820 = Left side: 2.00244500244527 Right side: 2.00244500244527
830 = Left side: 2.00241547308163 Right side: 2.00241547308163
840 = Left side: 2.00238664848836 Right side: 2.00238664848836
850 = Left side: 2.00235850373196 Right side: 2.00235850373196
860 = Left side: 2.00233101504139 Right side: 2.00233101504139
870 = Left side: 2.00230415974107 Right side: 2.00230415974107
880 = Left side: 2.00227791618849 Right side: 2.00227791618849
890 = Left side: 2.00225226371608 Right side: 2.00225226371608
900 = Left side: 2.00222718257688 Right side: 2.00222718257688
910 = Left side: 2.00220265389387 Right side: 2.00220265389387
920 = Left side: 2.00217865961256 Right side: 2.00217865961256
930 = Left side: 2.00215518245672 Right side: 2.00215518245672
940 = Left side: 2.00213220588685 Right side: 2.00213220588685
950 = Left side: 2.00210971406132 Right side: 2.00210971406132
960 = Left side: 2.00208769179997 Right side: 2.00208769179997
970 = Left side: 2.00206612454996 Right side: 2.00206612454996
980 = Left side: 2.00204499835362 Right side: 2.00204499835362
990 = Left side: 2.00202429981843 Right side: 2.00202429981843
1000 = Left side: 2.00200401608862 Right side: 2.00200401608862
https://ideone.com/ykRJ68
language:
C# (gmcs 5.20.1)
created:
11 years ago
visibility:
public

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