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Solution 264719

Submitted on 20 Jun 2013 by Aritra Chatterjee

Correct

47Size
Leading solution size is 14.
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

Test Suite

Test
Code Input and Output
1
Pass
 
%%
assert(abs(get_recurse(exp(1),pi,5,7/9)-20.066097534719034)<100*eps)
x =
    2.7183    3.1416    5.3022
x =
    2.7183    3.1416    5.3022    8.9154
x =
    2.7183    3.1416    5.3022    8.9154   20.0661
2
Pass
 
%%
assert(abs(get_recurse(1.01,1.02,5,pi)-4.1026063901404743)<100*eps)
x =
    1.0100    1.0200    1.0980
x =
    1.0100    1.0200    1.0980    1.4274
x =
    1.0100    1.0200    1.0980    1.4274    4.1026
3
Pass
 
%%
assert(abs(get_recurse(3.3,1,5,1/2)-1.5647419554132411)<100*eps)
x =
    3.3000    1.0000    1.8166
x =
    3.3000    1.0000    1.8166    1.3478
x =
    3.3000    1.0000    1.8166    1.3478    1.5647
4
Pass
 
%%
assert(abs(get_recurse(8,9,35,5/11)-1.3002291773509134)<1000*eps)
x =
    8.0000    9.0000    6.9862
x =
    8.0000    9.0000    6.9862    6.5689
x =
    8.0000    9.0000    6.9862    6.5689    5.6929
x =
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871
x =
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591
x =
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534
x =
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865
x =
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Column 11
    3.3090
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 12
    3.3090    3.0757
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 13
    3.3090    3.0757    2.8709
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 14
    3.3090    3.0757    2.8709    2.6914
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 15
    3.3090    3.0757    2.8709    2.6914    2.5330
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 16
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 17
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 18
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 19
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Column 21
    1.8890
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 22
    1.8890    1.8169
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 23
    1.8890    1.8169    1.7516
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 24
    1.8890    1.8169    1.7516    1.6925
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 25
    1.8890    1.8169    1.7516    1.6925    1.6388
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 26
    1.8890    1.8169    1.7516    1.6925    1.6388    1.5900
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 27
    1.8890    1.8169    1.7516    1.6925    1.6388    1.5900    1.5454
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 28
    1.8890    1.8169    1.7516    1.6925    1.6388    1.5900    1.5454    1.5048
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 29
    1.8890    1.8169    1.7516    1.6925    1.6388    1.5900    1.5454    1.5048    1.4676
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 30
    1.8890    1.8169    1.7516    1.6925    1.6388    1.5900    1.5454    1.5048    1.4676    1.4335
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 30
    1.8890    1.8169    1.7516    1.6925    1.6388    1.5900    1.5454    1.5048    1.4676    1.4335
  Column 31
    1.4022
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 30
    1.8890    1.8169    1.7516    1.6925    1.6388    1.5900    1.5454    1.5048    1.4676    1.4335
  Columns 31 through 32
    1.4022    1.3735
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 30
    1.8890    1.8169    1.7516    1.6925    1.6388    1.5900    1.5454    1.5048    1.4676    1.4335
  Columns 31 through 33
    1.4022    1.3735    1.3471
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 30
    1.8890    1.8169    1.7516    1.6925    1.6388    1.5900    1.5454    1.5048    1.4676    1.4335
  Columns 31 through 34
    1.4022    1.3735    1.3471    1.3227
x =
  Columns 1 through 10
    8.0000    9.0000    6.9862    6.5689    5.6929    5.1871    4.6591    4.2534    3.8865    3.5791
  Columns 11 through 20
    3.3090    3.0757    2.8709    2.6914    2.5330    2.3929    2.2683    2.1573    2.0581    1.9691
  Columns 21 through 30
    1.8890    1.8169    1.7516    1.6925    1.6388    1.5900    1.5454    1.5048    1.4676    1.4335
  Columns 31 through 35
    1.4022    1.3735    1.3471    1.3227    1.3002
5
Pass
 
%%
assert(abs(get_recurse(2,5,50,10/21)-1.3133198875358512)<1000*eps)
x =
    2.0000    5.0000    2.9936
x =
    2.0000    5.0000    2.9936    3.6274
x =
    2.0000    5.0000    2.9936    3.6274    3.1134
x =
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721
x =
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758
x =
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125
x =
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965
x =
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Column 11
    2.6255
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 12
    2.6255    2.5479
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 13
    2.6255    2.5479    2.4720
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 14
    2.6255    2.5479    2.4720    2.4020
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 15
    2.6255    2.5479    2.4720    2.4020    2.3356
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 16
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 17
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 18
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 19
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Column 21
    2.0102
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 22
    2.0102    1.9659
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 23
    2.0102    1.9659    1.9240
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 24
    2.0102    1.9659    1.9240    1.8842
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 25
    2.0102    1.9659    1.9240    1.8842    1.8465
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 26
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 27
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 28
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767    1.7444
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 29
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767    1.7444    1.7137
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 30
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767    1.7444    1.7137    1.6845
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 30
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767    1.7444    1.7137    1.6845
  Column 31
    1.6567
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 30
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767    1.7444    1.7137    1.6845
  Columns 31 through 32
    1.6567    1.6302
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 30
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767    1.7444    1.7137    1.6845
  Columns 31 through 33
    1.6567    1.6302    1.6050
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 30
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767    1.7444    1.7137    1.6845
  Columns 31 through 34
    1.6567    1.6302    1.6050    1.5809
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 30
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767    1.7444    1.7137    1.6845
  Columns 31 through 35
    1.6567    1.6302    1.6050    1.5809    1.5580
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 30
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767    1.7444    1.7137    1.6845
  Columns 31 through 36
    1.6567    1.6302    1.6050    1.5809    1.5580    1.5361
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 30
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767    1.7444    1.7137    1.6845
  Columns 31 through 37
    1.6567    1.6302    1.6050    1.5809    1.5580    1.5361    1.5152
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 30
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767    1.7444    1.7137    1.6845
  Columns 31 through 38
    1.6567    1.6302    1.6050    1.5809    1.5580    1.5361    1.5152    1.4952
x =
  Columns 1 through 10
    2.0000    5.0000    2.9936    3.6274    3.1134    3.1721    2.9758    2.9125    2.7965    2.7149
  Columns 11 through 20
    2.6255    2.5479    2.4720    2.4020    2.3356    2.2733    2.2144    2.1590    2.1066    2.0571
  Columns 21 through 30
    2.0102    1.9659    1.9240    1.8842    1.8465    1.8107    1.7767    1.7444    1.7137    1.6845
  Columns 31 through 39
    1.6567    1.6302    1.6050    1.5809    1.5580    1.5361    1.5152    1.495...
6
Pass
 
%%
assert(abs(get_recurse(1.5,2,600,1/2)-1.8171205928321394)<1000*eps)
x =
    1.5000    2.0000    1.7321
x =
    1.5000    2.0000    1.7321    1.8612
x =
    1.5000    2.0000    1.7321    1.8612    1.7955
x =
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280
x =
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117
x =
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198
x =
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158
x =
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Column 11
    1.8168
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 12
    1.8168    1.8173
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 13
    1.8168    1.8173    1.8170
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 14
    1.8168    1.8173    1.8170    1.8172
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 15
    1.8168    1.8173    1.8170    1.8172    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 16
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 17
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 18
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 19
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Column 21
    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 22
    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 23
    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 24
    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 25
    1.8171    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 26
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 27
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 28
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 29
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 30
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 30
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Column 31
    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 30
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 31 through 32
    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 30
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 31 through 33
    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 30
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 31 through 34
    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 30
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 31 through 35
    1.8171    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 30
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 31 through 36
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 30
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 31 through 37
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 30
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 31 through 38
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
x =
  Columns 1 through 10
    1.5000    2.0000    1.7321    1.8612    1.7955    1.8280    1.8117    1.8198    1.8158    1.8178
  Columns 11 through 20
    1.8168    1.8173    1.8170    1.8172    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 21 through 30
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171
  Columns 31 through 39
    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.8171    1.817...