wswain

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9 years, 288 days

MaplePrimes Activity


These are replies submitted by wswain

@rlopez 

Hi Robert,

 

   I recently posted a similar call (in fact I think identical except theta instead of t for the animate range variable) and had an interesting error on the range.   That was solved by forcing an evalf on the realcons Pi/2, (using the Greek Pi tablet click). 
 

  I am now interested in the vectorCaculus form.   My main interest is to visualize a vector's transformation as it applies to robotic frames and transformations.  Watching in 3D a rotation is really key than seeing a start and finished view on how the transforms work and then the math for 'exp' and Log of velocity transforms, screw, transpose, twist, wrench, etc.
 

  At the moment I am trying to see a two rotation sequence in animate where two rotation matrices are applied to the starting vector, [P].   Using simple matrix multiplication of the rotations matrices inside the arrow function for "what I think is the operation's output" of a two column vector of position for the animation - But, did not achieve the final expected position.

 

  I am wondering now if the order of operations is the problem and the frame-by-frame vector is not completing properly.
 

P.S., love discovering these tidbits, but often wonder the challenges of finding these when debugging problematic outputs.  The matrix math for frame transformations is a challenge in and of itself and I am pre-planning a proc() for the 4x4 and other transforms (skew-symmetric).  Hoping Maple has this already in a package that I've yet to discover.

 

All thoughts welcome.

 

Bill

@acer 

 

I agree with @acer that the 0 = 0..Pi/2   showed the assignment earlier to test static.

When I commented the Theta := 0 out the error still persisted.   When I typed evalf(Pi/2) it worked.

I did re-rerun with 1.) an unassign in variables tab - same error; 2.) commenting out the initial assignment-same error; and lastly 3.) incorporated the evalf(Pi/2) - worked.

 

I do appreciate the difference in the Upper Pi vs lower pi.    In most intances I started with the greek panel usage of theta and Pi. I don't often type Pi or pi, but recognize the difference.

All said, just for final thought - 4.) I took evalf(Pi/2) and removed it to force the numeric with Pi/2.0 (hint by Earl of what needed to be there) and just hit run with Pi/2 and it DID NOT Error out.

I suspect a persitence existed or maybe a typo for the pi?  I am not sure now.

It is working and I am now getting good results moving into 3D vector animated rotations.

Thank you both.  Just wanted to document for future users that may have similar problems.

 

@wswain 

@acer  @Earl

 

I just used the evalf(pi/2) and the animation sequence works.

Not sure why Acer comment didn't resolve, but Earl's evalf did work.

 

Thanks to both for the assist.

Bill

 

@acer 

 

Is 0 an appropriate cos or sin value?

 

I trialed the static version using theta = 0 and got the first frame's presentation correct by function.

I unassigned in the variable list the theta = 0 assignment.   I also just commented this assignment out with # symbol and re-ran but get same error.

@Carl Love 

 

thank you both @acer for your replies.  Very clear and helpful with improving capability and usage of Maple.

 

 Regards,

Bill

@acer 

 

Thanks again,...  Can you clarify a couple commands please and sorry if this might be elemental stuff.  I understand the convert to list for the column labels and this was probably my first error of why the array text was error'd out trying use the columnlabel option in an earlier attempt.

 

1.) The original array elements were of a text(string) type, but you use subsindets to "transform" the list elements to string.  I used whattype on the command and see both (array and list) return strings for the elements contained inside.  Why was this necessary other than just using convert to turning the array into a list argument?

    (P.S., I like the u arrow operator vs in-string tools to get the characters after 5th.)

 

2.)  Can you explain the "transformer" and "rest" arguments as to how you know a valid transformer operator (in this case 'string') and the second argumant option to "feed it" with the u->u[5..]   vs it just acting on the elements?? 

     - I presume a different substring operation could have been used to remove chars 1-4 ? 

 

Thank you,

Bill

 

 

@acer 

 

Thank You.   Great showing of the command usage to manipulate the axis.  
 

So glad you're a subject matter expert on Maple on this forum.

 

Bill

@acer

 

Thank you.  You always have the hidden gems of commands.

 

so much appreciated!

 

Bill

 

@acer 

 

Here is the worksheet

 

Bill
 

restart

with(Statistics)

Array3 := Matrix(101, 31, {(1, 1) = 0., (1, 2) = "RPM 0 - 100", (1, 3) = "RPM 101 - 200", (1, 4) = "RPM 201 - 300", (1, 5) = "RPM 301 - 400", (1, 6) = "RPM 401 - 500", (1, 7) = "RPM 501 - 600", (1, 8) = "RPM 601 - 700", (1, 9) = "RPM 701 - 800", (1, 10) = "RPM 801 - 900", (1, 11) = "RPM 901 - 1000", (1, 12) = "RPM 1001 - 1100", (1, 13) = "RPM 1101 - 1200", (1, 14) = "RPM 1201 - 1300", (1, 15) = "RPM 1301 - 1400", (1, 16) = "RPM 1401 - 1500", (1, 17) = "RPM 1501 - 1600", (1, 18) = "RPM 1601 - 1700", (1, 19) = "RPM 1701 - 1800", (1, 20) = "RPM 1801 - 1900", (1, 21) = "RPM 1901 - 2000", (1, 22) = "RPM 2001 - 2100", (1, 23) = "RPM 2101 - 2200", (1, 24) = "RPM 2201 - 2300", (1, 25) = "RPM 2301 - 2400", (1, 26) = "RPM 2401 - 2500", (1, 27) = "RPM 2501 - 2600", (1, 28) = "RPM 2601 - 2700", (1, 29) = "RPM 2701 - 2800", (1, 30) = "RPM 2801 - 2900", (1, 31) = "RPM 2901 - 3000", (2, 1) = "0 - 40", (2, 2) = 0., (2, 3) = 0., (2, 4) = 0., (2, 5) = 0., (2, 6) = 11.0, (2, 7) = 13.0, (2, 8) = 0., (2, 9) = 0., (2, 10) = 0., (2, 11) = 0., (2, 12) = 0., (2, 13) = 0., (2, 14) = 0., (2, 15) = 0., (2, 16) = 0., (2, 17) = 0., (2, 18) = 0., (2, 19) = 0., (2, 20) = 0., (2, 21) = 0., (2, 22) = 0., (2, 23) = 0., (2, 24) = 0., (2, 25) = 0., (2, 26) = 0., (2, 27) = 0., (2, 28) = 0., (2, 29) = 0., (2, 30) = 0., (2, 31) = 0., (3, 1) = "41 - 80", (3, 2) = 0., (3, 3) = 0., (3, 4) = 0., (3, 5) = 0., (3, 6) = 10.0, (3, 7) = 1.0, (3, 8) = 0., (3, 9) = 0., (3, 10) = 0., (3, 11) = 0., (3, 12) = 0., (3, 13) = 0., (3, 14) = 0., (3, 15) = 0., (3, 16) = 0., (3, 17) = 0., (3, 18) = 0., (3, 19) = 0., (3, 20) = 0., (3, 21) = 0., (3, 22) = 0., (3, 23) = 0., (3, 24) = 0., (3, 25) = 0., (3, 26) = 0., (3, 27) = 0., (3, 28) = 0., (3, 29) = 0., (3, 30) = 0., (3, 31) = 0., (4, 1) = "81 - 120", (4, 2) = 13.0, (4, 3) = 0., (4, 4) = 0., (4, 5) = 1.0, (4, 6) = 8.0, (4, 7) = 6.0, (4, 8) = 0., (4, 9) = 0., (4, 10) = 19.0, (4, 11) = 0., (4, 12) = 0., (4, 13) = 0., (4, 14) = 0., (4, 15) = 0., (4, 16) = 0., (4, 17) = 0., (4, 18) = 0., (4, 19) = 0., (4, 20) = 0., (4, 21) = 0., (4, 22) = 0., (4, 23) = 0., (4, 24) = 0., (4, 25) = 0., (4, 26) = 0., (4, 27) = 0., (4, 28) = 0., (4, 29) = 0., (4, 30) = 0., (4, 31) = 0., (5, 1) = "121 - 160", (5, 2) = 17.0, (5, 3) = 0., (5, 4) = 0., (5, 5) = 0., (5, 6) = 9.0, (5, 7) = 3.0, (5, 8) = 0., (5, 9) = 0., (5, 10) = 37.0, (5, 11) = 12.0, (5, 12) = 0., (5, 13) = 1.0, (5, 14) = 0., (5, 15) = 0., (5, 16) = 0., (5, 17) = 0., (5, 18) = 0., (5, 19) = 0., (5, 20) = 0., (5, 21) = 0., (5, 22) = 0., (5, 23) = 0., (5, 24) = 0., (5, 25) = 0., (5, 26) = 0., (5, 27) = 0., (5, 28) = 0., (5, 29) = 0., (5, 30) = 0., (5, 31) = 0., (6, 1) = "161 - 200", (6, 2) = 58.0, (6, 3) = 0., (6, 4) = 0., (6, 5) = 0., (6, 6) = 27.0, (6, 7) = 12.0, (6, 8) = 1.0, (6, 9) = 0., (6, 10) = 43.0, (6, 11) = 3.0, (6, 12) = 0., (6, 13) = 2.0, (6, 14) = 5.0, (6, 15) = 7.0, (6, 16) = 0., (6, 17) = 0., (6, 18) = 0., (6, 19) = 0., (6, 20) = 0., (6, 21) = 0., (6, 22) = 0., (6, 23) = 0., (6, 24) = 0., (6, 25) = 0., (6, 26) = 0., (6, 27) = 0., (6, 28) = 0., (6, 29) = 0., (6, 30) = 0., (6, 31) = 0., (7, 1) = "201 - 240", (7, 2) = 43.0, (7, 3) = 0., (7, 4) = 0., (7, 5) = 0., (7, 6) = 27.0, (7, 7) = 41.0, (7, 8) = 3.0, (7, 9) = 0., (7, 10) = 22.0, (7, 11) = 0., (7, 12) = 0., (7, 13) = 5.0, (7, 14) = 10.0, (7, 15) = 3.0, (7, 16) = 0., (7, 17) = 0., (7, 18) = 0., (7, 19) = 0., (7, 20) = 0., (7, 21) = 0., (7, 22) = 0., (7, 23) = 0., (7, 24) = 0., (7, 25) = 0., (7, 26) = 0., (7, 27) = 0., (7, 28) = 0., (7, 29) = 0., (7, 30) = 0., (7, 31) = 0., (8, 1) = "241 - 280", (8, 2) = 17.0, (8, 3) = 0., (8, 4) = 1.0, (8, 5) = 0., (8, 6) = 18.0, (8, 7) = 57.0, (8, 8) = 11.0, (8, 9) = 6.0, (8, 10) = 12.0, (8, 11) = 0., (8, 12) = 1.0, (8, 13) = 10.0, (8, 14) = 9.0, (8, 15) = 4.0, (8, 16) = 0., (8, 17) = 0., (8, 18) = 0., (8, 19) = 0., (8, 20) = 0., (8, 21) = 0., (8, 22) = 0., (8, 23) = 0., (8, 24) = 0., (8, 25) = 0., (8, 26) = 0., (8, 27) = 0., (8, 28) = 0., (8, 29) = 0., (8, 30) = 0., (8, 31) = 0., (9, 1) = "281 - 320", (9, 2) = 33.0, (9, 3) = 0., (9, 4) = 1.0, (9, 5) = 0., (9, 6) = 3.0, (9, 7) = 77.0, (9, 8) = 15.0, (9, 9) = 31.0, (9, 10) = 14.0, (9, 11) = 3.0, (9, 12) = 13.0, (9, 13) = 10.0, (9, 14) = 11.0, (9, 15) = 0., (9, 16) = 0., (9, 17) = 0., (9, 18) = 0., (9, 19) = 0., (9, 20) = 0., (9, 21) = 0., (9, 22) = 0., (9, 23) = 0., (9, 24) = 0., (9, 25) = 0., (9, 26) = 0., (9, 27) = 0., (9, 28) = 0., (9, 29) = 0., (9, 30) = 0., (9, 31) = 0., (10, 1) = "321 - 360", (10, 2) = 16.0, (10, 3) = 1.0, (10, 4) = 1.0, (10, 5) = 3.0, (10, 6) = 5.0, (10, 7) = 29.0, (10, 8) = 23.0, (10, 9) = 87.0, (10, 10) = 20.0, (10, 11) = 13.0, (10, 12) = 9.0, (10, 13) = 6.0, (10, 14) = 3.0, (10, 15) = 1.0, (10, 16) = 0., (10, 17) = 0., (10, 18) = 0., (10, 19) = 0., (10, 20) = 0., (10, 21) = 0., (10, 22) = 0., (10, 23) = 0., (10, 24) = 0., (10, 25) = 0., (10, 26) = 0., (10, 27) = 0., (10, 28) = 0., (10, 29) = 0., (10, 30) = 0., (10, 31) = 0., (11, 1) = "361 - 400", (11, 2) = 29.0, (11, 3) = 2.0, (11, 4) = 0., (11, 5) = 2.0, (11, 6) = 6.0, (11, 7) = 9.0, (11, 8) = 12.0, (11, 9) = 122.0, (11, 10) = 21.0, (11, 11) = 10.0, (11, 12) = 5.0, (11, 13) = 4.0, (11, 14) = 0., (11, 15) = 0., (11, 16) = 0., (11, 17) = 0., (11, 18) = 0., (11, 19) = 0., (11, 20) = 0., (11, 21) = 0., (11, 22) = 0., (11, 23) = 0., (11, 24) = 0., (11, 25) = 0., (11, 26) = 0., (11, 27) = 0., (11, 28) = 0., (11, 29) = 0., (11, 30) = 0., (11, 31) = 0., (12, 1) = "401 - 440", (12, 2) = 16.0, (12, 3) = 0., (12, 4) = 1.0, (12, 5) = 3.0, (12, 6) = 2.0, (12, 7) = 2.0, (12, 8) = 5.0, (12, 9) = 83.0, (12, 10) = 2.0, (12, 11) = 11.0, (12, 12) = 0., (12, 13) = 1.0, (12, 14) = 0., (12, 15) = 0., (12, 16) = 0., (12, 17) = 0., (12, 18) = 0., (12, 19) = 0., (12, 20) = 0., (12, 21) = 0., (12, 22) = 0., (12, 23) = 0., (12, 24) = 0., (12, 25) = 0., (12, 26) = 0., (12, 27) = 0., (12, 28) = 0., (12, 29) = 0., (12, 30) = 0., (12, 31) = 0., (13, 1) = "441 - 480", (13, 2) = 22.0, (13, 3) = 0., (13, 4) = 2.0, (13, 5) = 15.0, (13, 6) = 3.0, (13, 7) = 2.0, (13, 8) = 2.0, (13, 9) = 11.0, (13, 10) = 0., (13, 11) = 1.0, (13, 12) = 0., (13, 13) = 1.0, (13, 14) = 0., (13, 15) = 0., (13, 16) = 0., (13, 17) = 0., (13, 18) = 0., (13, 19) = 0., (13, 20) = 0., (13, 21) = 0., (13, 22) = 0., (13, 23) = 0., (13, 24) = 0., (13, 25) = 0., (13, 26) = 0., (13, 27) = 0., (13, 28) = 0., (13, 29) = 0., (13, 30) = 0., (13, 31) = 0., (14, 1) = "481 - 520", (14, 2) = 24.0, (14, 3) = 1.0, (14, 4) = 1.0, (14, 5) = 7.0, (14, 6) = 1.0, (14, 7) = 6.0, (14, 8) = 8.0, (14, 9) = 6.0, (14, 10) = 0., (14, 11) = 0., (14, 12) = 0., (14, 13) = 1.0, (14, 14) = 0., (14, 15) = 0., (14, 16) = 0., (14, 17) = 0., (14, 18) = 0., (14, 19) = 0., (14, 20) = 0., (14, 21) = 0., (14, 22) = 0., (14, 23) = 0., (14, 24) = 0., (14, 25) = 0., (14, 26) = 0., (14, 27) = 0., (14, 28) = 0., (14, 29) = 0., (14, 30) = 0., (14, 31) = 0., (15, 1) = "521 - 560", (15, 2) = 19.0, (15, 3) = 6.0, (15, 4) = 2.0, (15, 5) = 15.0, (15, 6) = 3.0, (15, 7) = 5.0, (15, 8) = 7.0, (15, 9) = 6.0, (15, 10) = 0., (15, 11) = 0., (15, 12) = 0., (15, 13) = 0., (15, 14) = 0., (15, 15) = 0., (15, 16) = 0., (15, 17) = 0., (15, 18) = 0., (15, 19) = 0., (15, 20) = 0., (15, 21) = 0., (15, 22) = 0., (15, 23) = 0., (15, 24) = 0., (15, 25) = 0., (15, 26) = 0., (15, 27) = 0., (15, 28) = 0., (15, 29) = 0., (15, 30) = 0., (15, 31) = 0., (16, 1) = "561 - 600", (16, 2) = 26.0, (16, 3) = 3.0, (16, 4) = 8.0, (16, 5) = 17.0, (16, 6) = 2.0, (16, 7) = 5.0, (16, 8) = 9.0, (16, 9) = 1.0, (16, 10) = 0., (16, 11) = 0., (16, 12) = 0., (16, 13) = 0., (16, 14) = 0., (16, 15) = 0., (16, 16) = 0., (16, 17) = 0., (16, 18) = 0., (16, 19) = 0., (16, 20) = 0., (16, 21) = 0., (16, 22) = 0., (16, 23) = 0., (16, 24) = 0., (16, 25) = 0., (16, 26) = 0., (16, 27) = 0., (16, 28) = 0., (16, 29) = 0., (16, 30) = 0., (16, 31) = 0., (17, 1) = "601 - 640", (17, 2) = 21.0, (17, 3) = 4.0, (17, 4) = 8.0, (17, 5) = 13.0, (17, 6) = 2.0, (17, 7) = 1.0, (17, 8) = 1.0, (17, 9) = 1.0, (17, 10) = 0., (17, 11) = 0., (17, 12) = 0., (17, 13) = 0., (17, 14) = 0., (17, 15) = 0., (17, 16) = 0., (17, 17) = 0., (17, 18) = 0., (17, 19) = 0., (17, 20) = 0., (17, 21) = 0., (17, 22) = 0., (17, 23) = 0., (17, 24) = 0., (17, 25) = 0., (17, 26) = 0., (17, 27) = 0., (17, 28) = 0., (17, 29) = 0., (17, 30) = 0., (17, 31) = 0., (18, 1) = "641 - 680", (18, 2) = 19.0, (18, 3) = 6.0, (18, 4) = 8.0, (18, 5) = 0., (18, 6) = 1.0, (18, 7) = 0., (18, 8) = 3.0, (18, 9) = 0., (18, 10) = 0., (18, 11) = 0., (18, 12) = 0., (18, 13) = 0., (18, 14) = 0., (18, 15) = 0., (18, 16) = 0., (18, 17) = 0., (18, 18) = 0., (18, 19) = 0., (18, 20) = 0., (18, 21) = 0., (18, 22) = 0., (18, 23) = 0., (18, 24) = 0., (18, 25) = 0., (18, 26) = 0., (18, 27) = 0., (18, 28) = 0., (18, 29) = 0., (18, 30) = 0., (18, 31) = 0., (19, 1) = "681 - 720", (19, 2) = 25.0, (19, 3) = 17.0, (19, 4) = 2.0, (19, 5) = 8.0, (19, 6) = 7.0, (19, 7) = 0., (19, 8) = 0., (19, 9) = 0., (19, 10) = 0., (19, 11) = 0., (19, 12) = 0., (19, 13) = 0., (19, 14) = 0., (19, 15) = 0., (19, 16) = 0., (19, 17) = 0., (19, 18) = 0., (19, 19) = 0., (19, 20) = 0., (19, 21) = 0., (19, 22) = 0., (19, 23) = 0., (19, 24) = 0., (19, 25) = 0., (19, 26) = 0., (19, 27) = 0., (19, 28) = 0., (19, 29) = 0., (19, 30) = 0., (19, 31) = 0., (20, 1) = "721 - 760", (20, 2) = 27.0, (20, 3) = 11.0, (20, 4) = 4.0, (20, 5) = 3.0, (20, 6) = 6.0, (20, 7) = 0., (20, 8) = 1.0, (20, 9) = 0., (20, 10) = 0., (20, 11) = 0., (20, 12) = 0., (20, 13) = 0., (20, 14) = 0., (20, 15) = 0., (20, 16) = 0., (20, 17) = 0., (20, 18) = 0., (20, 19) = 0., (20, 20) = 0., (20, 21) = 0., (20, 22) = 0., (20, 23) = 0., (20, 24) = 0., (20, 25) = 0., (20, 26) = 0., (20, 27) = 0., (20, 28) = 0., (20, 29) = 0., (20, 30) = 0., (20, 31) = 0., (21, 1) = "761 - 800", (21, 2) = 23.0, (21, 3) = 5.0, (21, 4) = 0., (21, 5) = 12.0, (21, 6) = 1.0, (21, 7) = 1.0, (21, 8) = 5.0, (21, 9) = 0., (21, 10) = 0., (21, 11) = 0., (21, 12) = 0., (21, 13) = 0., (21, 14) = 0., (21, 15) = 0., (21, 16) = 0., (21, 17) = 0., (21, 18) = 0., (21, 19) = 0., (21, 20) = 0., (21, 21) = 0., (21, 22) = 0., (21, 23) = 0., (21, 24) = 0., (21, 25) = 0., (21, 26) = 0., (21, 27) = 0., (21, 28) = 0., (21, 29) = 0., (21, 30) = 0., (21, 31) = 0., (22, 1) = "801 - 840", (22, 2) = 23.0, (22, 3) = 2.0, (22, 4) = 5.0, (22, 5) = 14.0, (22, 6) = 0., (22, 7) = 3.0, (22, 8) = 7.0, (22, 9) = 0., (22, 10) = 0., (22, 11) = 0., (22, 12) = 0., (22, 13) = 0., (22, 14) = 0., (22, 15) = 0., (22, 16) = 0., (22, 17) = 0., (22, 18) = 0., (22, 19) = 0., (22, 20) = 0., (22, 21) = 0., (22, 22) = 0., (22, 23) = 0., (22, 24) = 0., (22, 25) = 0., (22, 26) = 0., (22, 27) = 0., (22, 28) = 0., (22, 29) = 0., (22, 30) = 0., (22, 31) = 0., (23, 1) = "841 - 880", (23, 2) = 16.0, (23, 3) = 4.0, (23, 4) = 5.0, (23, 5) = 2.0, (23, 6) = 0., (23, 7) = 8.0, (23, 8) = 6.0, (23, 9) = 0., (23, 10) = 0., (23, 11) = 0., (23, 12) = 0., (23, 13) = 0., (23, 14) = 0., (23, 15) = 0., (23, 16) = 0., (23, 17) = 0., (23, 18) = 0., (23, 19) = 0., (23, 20) = 0., (23, 21) = 0., (23, 22) = 0., (23, 23) = 0., (23, 24) = 0., (23, 25) = 0., (23, 26) = 0., (23, 27) = 0., (23, 28) = 0., (23, 29) = 0., (23, 30) = 0., (23, 31) = 0., (24, 1) = "881 - 920", (24, 2) = 16.0, (24, 3) = 13.0, (24, 4) = 3.0, (24, 5) = 3.0, (24, 6) = 6.0, (24, 7) = 16.0, (24, 8) = 10.0, (24, 9) = 0., (24, 10) = 0., (24, 11) = 0., (24, 12) = 0., (24, 13) = 0., (24, 14) = 0., (24, 15) = 0., (24, 16) = 0., (24, 17) = 0., (24, 18) = 0., (24, 19) = 0., (24, 20) = 0., (24, 21) = 0., (24, 22) = 0., (24, 23) = 0., (24, 24) = 0., (24, 25) = 0., (24, 26) = 0., (24, 27) = 0., (24, 28) = 0., (24, 29) = 0., (24, 30) = 0., (24, 31) = 0., (25, 1) = "921 - 960", (25, 2) = 16.0, (25, 3) = 11.0, (25, 4) = 5.0, (25, 5) = 0., (25, 6) = 10.0, (25, 7) = 25.0, (25, 8) = 3.0, (25, 9) = 0., (25, 10) = 0., (25, 11) = 0., (25, 12) = 0., (25, 13) = 0., (25, 14) = 0., (25, 15) = 0., (25, 16) = 0., (25, 17) = 0., (25, 18) = 0., (25, 19) = 0., (25, 20) = 0., (25, 21) = 0., (25, 22) = 0., (25, 23) = 0., (25, 24) = 0., (25, 25) = 0., (25, 26) = 0., (25, 27) = 0., (25, 28) = 0., (25, 29) = 0., (25, 30) = 0., (25, 31) = 0., (26, 1) = "961 - 1000", (26, 2) = 9.0, (26, 3) = 0., (26, 4) = 7.0, (26, 5) = 1.0, (26, 6) = 6.0, (26, 7) = 5.0, (26, 8) = 1.0, (26, 9) = 0., (26, 10) = 0., (26, 11) = 0., (26, 12) = 0., (26, 13) = 0., (26, 14) = 0., (26, 15) = 0., (26, 16) = 0., (26, 17) = 0., (26, 18) = 0., (26, 19) = 0., (26, 20) = 0., (26, 21) = 0., (26, 22) = 0., (26, 23) = 0., (26, 24) = 0., (26, 25) = 0., (26, 26) = 0., (26, 27) = 0., (26, 28) = 0., (26, 29) = 0., (26, 30) = 0., (26, 31) = 0., (27, 1) = "1001 - 1040", (27, 2) = 7.0, (27, 3) = 2.0, (27, 4) = 2.0, (27, 5) = 6.0, (27, 6) = 8.0, (27, 7) = 4.0, (27, 8) = 0., (27, 9) = 0., (27, 10) = 0., (27, 11) = 0., (27, 12) = 0., (27, 13) = 0., (27, 14) = 0., (27, 15) = 0., (27, 16) = 0., (27, 17) = 0., (27, 18) = 0., (27, 19) = 0., (27, 20) = 0., (27, 21) = 0., (27, 22) = 0., (27, 23) = 0., (27, 24) = 0., (27, 25) = 0., (27, 26) = 0., (27, 27) = 0., (27, 28) = 0., (27, 29) = 0., (27, 30) = 0., (27, 31) = 0., (28, 1) = "1041 - 1080", (28, 2) = 6.0, (28, 3) = 0., (28, 4) = 0., (28, 5) = 8.0, (28, 6) = 0., (28, 7) = 2.0, (28, 8) = 0., (28, 9) = 0., (28, 10) = 0., (28, 11) = 0., (28, 12) = 0., (28, 13) = 0., (28, 14) = 0., (28, 15) = 0., (28, 16) = 0., (28, 17) = 0., (28, 18) = 0., (28, 19) = 0., (28, 20) = 0., (28, 21) = 0., (28, 22) = 0., (28, 23) = 0., (28, 24) = 0., (28, 25) = 0., (28, 26) = 0., (28, 27) = 0., (28, 28) = 0., (28, 29) = 0., (28, 30) = 0., (28, 31) = 0., (29, 1) = "1081 - 1120", (29, 2) = 14.0, (29, 3) = 9.0, (29, 4) = 8.0, (29, 5) = 6.0, (29, 6) = 0., (29, 7) = 0., (29, 8) = 0., (29, 9) = 0., (29, 10) = 0., (29, 11) = 0., (29, 12) = 0., (29, 13) = 0., (29, 14) = 0., (29, 15) = 0., (29, 16) = 0., (29, 17) = 0., (29, 18) = 0., (29, 19) = 0., (29, 20) = 0., (29, 21) = 0., (29, 22) = 0., (29, 23) = 0., (29, 24) = 0., (29, 25) = 0., (29, 26) = 0., (29, 27) = 0., (29, 28) = 0., (29, 29) = 0., (29, 30) = 0., (29, 31) = 0., (30, 1) = "1121 - 1160", (30, 2) = 15.0, (30, 3) = 7.0, (30, 4) = 13.0, (30, 5) = 7.0, (30, 6) = 0., (30, 7) = 0., (30, 8) = 0., (30, 9) = 0., (30, 10) = 0., (30, 11) = 0., (30, 12) = 0., (30, 13) = 0., (30, 14) = 0., (30, 15) = 0., (30, 16) = 0., (30, 17) = 0., (30, 18) = 0., (30, 19) = 0., (30, 20) = 0., (30, 21) = 0., (30, 22) = 0., (30, 23) = 0., (30, 24) = 0., (30, 25) = 0., (30, 26) = 0., (30, 27) = 0., (30, 28) = 0., (30, 29) = 0., (30, 30) = 0., (30, 31) = 0., (31, 1) = "1161 - 1200", (31, 2) = 5.0, (31, 3) = 6.0, (31, 4) = 2.0, (31, 5) = 0., (31, 6) = 0., (31, 7) = 0., (31, 8) = 0., (31, 9) = 0., (31, 10) = 0., (31, 11) = 0., (31, 12) = 0., (31, 13) = 0., (31, 14) = 0., (31, 15) = 0., (31, 16) = 0., (31, 17) = 0., (31, 18) = 0., (31, 19) = 0., (31, 20) = 0., (31, 21) = 0., (31, 22) = 0., (31, 23) = 0., (31, 24) = 0., (31, 25) = 0., (31, 26) = 0., (31, 27) = 0., (31, 28) = 0., (31, 29) = 0., (31, 30) = 0., (31, 31) = 0., (32, 1) = "1201 - 1240", (32, 2) = 4.0, (32, 3) = 3.0, (32, 4) = 2.0, (32, 5) = 0., (32, 6) = 0., (32, 7) = 0., (32, 8) = 0., (32, 9) = 0., (32, 10) = 0., (32, 11) = 0., (32, 12) = 0., (32, 13) = 0., (32, 14) = 0., (32, 15) = 0., (32, 16) = 0., (32, 17) = 0., (32, 18) = 0., (32, 19) = 0., (32, 20) = 0., (32, 21) = 0., (32, 22) = 0., (32, 23) = 0., (32, 24) = 0., (32, 25) = 0., (32, 26) = 0., (32, 27) = 0., (32, 28) = 0., (32, 29) = 0., (32, 30) = 0., (32, 31) = 0., (33, 1) = "1241 - 1280", (33, 2) = 2.0, (33, 3) = 1.0, (33, 4) = 0., (33, 5) = 0., (33, 6) = 0., (33, 7) = 0., (33, 8) = 0., (33, 9) = 0., (33, 10) = 0., (33, 11) = 0., (33, 12) = 0., (33, 13) = 0., (33, 14) = 0., (33, 15) = 0., (33, 16) = 0., (33, 17) = 0., (33, 18) = 0., (33, 19) = 0., (33, 20) = 0., (33, 21) = 0., (33, 22) = 0., (33, 23) = 0., (33, 24) = 0., (33, 25) = 0., (33, 26) = 0., (33, 27) = 0., (33, 28) = 0., (33, 29) = 0., (33, 30) = 0., (33, 31) = 0., (34, 1) = "1281 - 1320", (34, 2) = 1.0, (34, 3) = 1.0, (34, 4) = 0., (34, 5) = 0., (34, 6) = 0., (34, 7) = 0., (34, 8) = 0., (34, 9) = 0., (34, 10) = 0., (34, 11) = 0., (34, 12) = 0., (34, 13) = 0., (34, 14) = 0., (34, 15) = 0., (34, 16) = 0., (34, 17) = 0., (34, 18) = 0., (34, 19) = 0., (34, 20) = 0., (34, 21) = 0., (34, 22) = 0., (34, 23) = 0., (34, 24) = 0., (34, 25) = 0., (34, 26) = 0., (34, 27) = 0., (34, 28) = 0., (34, 29) = 0., (34, 30) = 0., (34, 31) = 0., (35, 1) = "1321 - 1360", (35, 2) = 0., (35, 3) = 1.0, (35, 4) = 0., (35, 5) = 0., (35, 6) = 0., (35, 7) = 0., (35, 8) = 0., (35, 9) = 0., (35, 10) = 0., (35, 11) = 0., (35, 12) = 0., (35, 13) = 0., (35, 14) = 0., (35, 15) = 0., (35, 16) = 0., (35, 17) = 0., (35, 18) = 0., (35, 19) = 0., (35, 20) = 0., (35, 21) = 0., (35, 22) = 0., (35, 23) = 0., (35, 24) = 0., (35, 25) = 0., (35, 26) = 0., (35, 27) = 0., (35, 28) = 0., (35, 29) = 0., (35, 30) = 0., (35, 31) = 0., (36, 1) = "1361 - 1400", (36, 2) = 2.0, (36, 3) = 0., (36, 4) = 0., (36, 5) = 0., (36, 6) = 0., (36, 7) = 0., (36, 8) = 0., (36, 9) = 0., (36, 10) = 0., (36, 11) = 0., (36, 12) = 0., (36, 13) = 0., (36, 14) = 0., (36, 15) = 0., (36, 16) = 0., (36, 17) = 0., (36, 18) = 0., (36, 19) = 0., (36, 20) = 0., (36, 21) = 0., (36, 22) = 0., (36, 23) = 0., (36, 24) = 0., (36, 25) = 0., (36, 26) = 0., (36, 27) = 0., (36, 28) = 0., (36, 29) = 0., (36, 30) = 0., (36, 31) = 0., (37, 1) = "1401 - 1440", (37, 2) = 3.0, (37, 3) = 1.0, (37, 4) = 0., (37, 5) = 0., (37, 6) = 0., (37, 7) = 0., (37, 8) = 0., (37, 9) = 0., (37, 10) = 0., (37, 11) = 0., (37, 12) = 0., (37, 13) = 0., (37, 14) = 0., (37, 15) = 0., (37, 16) = 0., (37, 17) = 0., (37, 18) = 0., (37, 19) = 0., (37, 20) = 0., (37, 21) = 0., (37, 22) = 0., (37, 23) = 0., (37, 24) = 0., (37, 25) = 0., (37, 26) = 0., (37, 27) = 0., (37, 28) = 0., (37, 29) = 0., (37, 30) = 0., (37, 31) = 0., (38, 1) = "1441 - 1480", (38, 2) = 1.0, (38, 3) = 0., (38, 4) = 0., (38, 5) = 0., (38, 6) = 0., (38, 7) = 0., (38, 8) = 0., (38, 9) = 0., (38, 10) = 0., (38, 11) = 0., (38, 12) = 0., (38, 13) = 0., (38, 14) = 0., (38, 15) = 0., (38, 16) = 0., (38, 17) = 0., (38, 18) = 0., (38, 19) = 0., (38, 20) = 0., (38, 21) = 0., (38, 22) = 0., (38, 23) = 0., (38, 24) = 0., (38, 25) = 0., (38, 26) = 0., (38, 27) = 0., (38, 28) = 0., (38, 29) = 0., (38, 30) = 0., (38, 31) = 0., (39, 1) = "1481 - 1520", (39, 2) = 0., (39, 3) = 0., (39, 4) = 0., (39, 5) = 0., (39, 6) = 0., (39, 7) = 0., (39, 8) = 0., (39, 9) = 0., (39, 10) = 0., (39, 11) = 0., (39, 12) = 0., (39, 13) = 0., (39, 14) = 0., (39, 15) = 0., (39, 16) = 0., (39, 17) = 0., (39, 18) = 0., (39, 19) = 0., (39, 20) = 0., (39, 21) = 0., (39, 22) = 0., (39, 23) = 0., (39, 24) = 0., (39, 25) = 0., (39, 26) = 0., (39, 27) = 0., (39, 28) = 0., (39, 29) = 0., (39, 30) = 0., (39, 31) = 0., (40, 1) = "1521 - 1560", (40, 2) = 0., (40, 3) = 0., (40, 4) = 0., (40, 5) = 0., (40, 6) = 0., (40, 7) = 0., (40, 8) = 0., (40, 9) = 0., (40, 10) = 0., (40, 11) = 0., (40, 12) = 0., (40, 13) = 0., (40, 14) = 0., (40, 15) = 0., (40, 16) = 0., (40, 17) = 0., (40, 18) = 0., (40, 19) = 0., (40, 20) = 0., (40, 21) = 0., (40, 22) = 0., (40, 23) = 0., (40, 24) = 0., (40, 25) = 0., (40, 26) = 0., (40, 27) = 0., (40, 28) = 0., (40, 29) = 0., (40, 30) = 0., (40, 31) = 0., (41, 1) = "1561 - 1600", (41, 2) = 0., (41, 3) = 0., (41, 4) = 0., (41, 5) = 0., (41, 6) = 0., (41, 7) = 0., (41, 8) = 0., (41, 9) = 0., (41, 10) = 0., (41, 11) = 0., (41, 12) = 0., (41, 13) = 0., (41, 14) = 0., (41, 15) = 0., (41, 16) = 0., (41, 17) = 0., (41, 18) = 0., (41, 19) = 0., (41, 20) = 0., (41, 21) = 0., (41, 22) = 0., (41, 23) = 0., (41, 24) = 0., (41, 25) = 0., (41, 26) = 0., (41, 27) = 0., (41, 28) = 0., (41, 29) = 0., (41, 30) = 0., (41, 31) = 0., (42, 1) = "1601 - 1640", (42, 2) = 0., (42, 3) = 0., (42, 4) = 0., (42, 5) = 0., (42, 6) = 0., (42, 7) = 0., (42, 8) = 0., (42, 9) = 0., (42, 10) = 0., (42, 11) = 0., (42, 12) = 0., (42, 13) = 0., (42, 14) = 0., (42, 15) = 0., (42, 16) = 0., (42, 17) = 0., (42, 18) = 0., (42, 19) = 0., (42, 20) = 0., (42, 21) = 0., (42, 22) = 0., (42, 23) = 0., (42, 24) = 0., (42, 25) = 0., (42, 26) = 0., (42, 27) = 0., (42, 28) = 0., (42, 29) = 0., (42, 30) = 0., (42, 31) = 0., (43, 1) = "1641 - 1680", (43, 2) = 0., (43, 3) = 0., (43, 4) = 0., (43, 5) = 0., (43, 6) = 0., (43, 7) = 0., (43, 8) = 0., (43, 9) = 0., (43, 10) = 0., (43, 11) = 0., (43, 12) = 0., (43, 13) = 0., (43, 14) = 0., (43, 15) = 0., (43, 16) = 0., (43, 17) = 0., (43, 18) = 0., (43, 19) = 0., (43, 20) = 0., (43, 21) = 0., (43, 22) = 0., (43, 23) = 0., (43, 24) = 0., (43, 25) = 0., (43, 26) = 0., (43, 27) = 0., (43, 28) = 0., (43, 29) = 0., (43, 30) = 0., (43, 31) = 0., (44, 1) = "1681 - 1720", (44, 2) = 0., (44, 3) = 0., (44, 4) = 0., (44, 5) = 0., (44, 6) = 0., (44, 7) = 0., (44, 8) = 0., (44, 9) = 0., (44, 10) = 0., (44, 11) = 0., (44, 12) = 0., (44, 13) = 0., (44, 14) = 0., (44, 15) = 0., (44, 16) = 0., (44, 17) = 0., (44, 18) = 0., (44, 19) = 0., (44, 20) = 0., (44, 21) = 0., (44, 22) = 0., (44, 23) = 0., (44, 24) = 0., (44, 25) = 0., (44, 26) = 0., (44, 27) = 0., (44, 28) = 0., (44, 29) = 0., (44, 30) = 0., (44, 31) = 0., (45, 1) = "1721 - 1760", (45, 2) = 0., (45, 3) = 0., (45, 4) = 0., (45, 5) = 0., (45, 6) = 0., (45, 7) = 0., (45, 8) = 0., (45, 9) = 0., (45, 10) = 0., (45, 11) = 0., (45, 12) = 0., (45, 13) = 0., (45, 14) = 0., (45, 15) = 0., (45, 16) = 0., (45, 17) = 0., (45, 18) = 0., (45, 19) = 0., (45, 20) = 0., (45, 21) = 0., (45, 22) = 0., (45, 23) = 0., (45, 24) = 0., (45, 25) = 0., (45, 26) = 0., (45, 27) = 0., (45, 28) = 0., (45, 29) = 0., (45, 30) = 0., (45, 31) = 0., (46, 1) = "1761 - 1800", (46, 2) = 0., (46, 3) = 0., (46, 4) = 0., (46, 5) = 0., (46, 6) = 0., (46, 7) = 0., (46, 8) = 0., (46, 9) = 0., (46, 10) = 0., (46, 11) = 0., (46, 12) = 0., (46, 13) = 0., (46, 14) = 0., (46, 15) = 0., (46, 16) = 0., (46, 17) = 0., (46, 18) = 0., (46, 19) = 0., (46, 20) = 0., (46, 21) = 0., (46, 22) = 0., (46, 23) = 0., (46, 24) = 0., (46, 25) = 0., (46, 26) = 0., (46, 27) = 0., (46, 28) = 0., (46, 29) = 0., (46, 30) = 0., (46, 31) = 0., (47, 1) = "1801 - 1840", (47, 2) = 0., (47, 3) = 0., (47, 4) = 0., (47, 5) = 0., (47, 6) = 0., (47, 7) = 0., (47, 8) = 0., (47, 9) = 0., (47, 10) = 0., (47, 11) = 0., (47, 12) = 0., (47, 13) = 0., (47, 14) = 0., (47, 15) = 0., (47, 16) = 0., (47, 17) = 0., (47, 18) = 0., (47, 19) = 0., (47, 20) = 0., (47, 21) = 0., (47, 22) = 0., (47, 23) = 0., (47, 24) = 0., (47, 25) = 0., (47, 26) = 0., (47, 27) = 0., (47, 28) = 0., (47, 29) = 0., (47, 30) = 0., (47, 31) = 0., (48, 1) = "1841 - 1880", (48, 2) = 0., (48, 3) = 0., (48, 4) = 0., (48, 5) = 0., (48, 6) = 0., (48, 7) = 0., (48, 8) = 0., (48, 9) = 0., (48, 10) = 0., (48, 11) = 0., (48, 12) = 0., (48, 13) = 0., (48, 14) = 0., (48, 15) = 0., (48, 16) = 0., (48, 17) = 0., (48, 18) = 0., (48, 19) = 0., (48, 20) = 0., (48, 21) = 0., (48, 22) = 0., (48, 23) = 0., (48, 24) = 0., (48, 25) = 0., (48, 26) = 0., (48, 27) = 0., (48, 28) = 0., (48, 29) = 0., (48, 30) = 0., (48, 31) = 0., (49, 1) = "1881 - 1920", (49, 2) = 0., (49, 3) = 0., (49, 4) = 0., (49, 5) = 0., (49, 6) = 0., (49, 7) = 0., (49, 8) = 0., (49, 9) = 0., (49, 10) = 0., (49, 11) = 0., (49, 12) = 0., (49, 13) = 0., (49, 14) = 0., (49, 15) = 0., (49, 16) = 0., (49, 17) = 0., (49, 18) = 0., (49, 19) = 0., (49, 20) = 0., (49, 21) = 0., (49, 22) = 0., (49, 23) = 0., (49, 24) = 0., (49, 25) = 0., (49, 26) = 0., (49, 27) = 0., (49, 28) = 0., (49, 29) = 0., (49, 30) = 0., (49, 31) = 0., (50, 1) = "1921 - 1960", (50, 2) = 0., (50, 3) = 0., (50, 4) = 0., (50, 5) = 0., (50, 6) = 0., (50, 7) = 0., (50, 8) = 0., (50, 9) = 0., (50, 10) = 0., (50, 11) = 0., (50, 12) = 0., (50, 13) = 0., (50, 14) = 0., (50, 15) = 0., (50, 16) = 0., (50, 17) = 0., (50, 18) = 0., (50, 19) = 0., (50, 20) = 0., (50, 21) = 0., (50, 22) = 0., (50, 23) = 0., (50, 24) = 0., (50, 25) = 0., (50, 26) = 0., (50, 27) = 0., (50, 28) = 0., (50, 29) = 0., (50, 30) = 0., (50, 31) = 0., (51, 1) = "1961 - 2000", (51, 2) = 0., (51, 3) = 0., (51, 4) = 0., (51, 5) = 0., (51, 6) = 0., (51, 7) = 0., (51, 8) = 0., (51, 9) = 0., (51, 10) = 0., (51, 11) = 0., (51, 12) = 0., (51, 13) = 0., (51, 14) = 0., (51, 15) = 0., (51, 16) = 0., (51, 17) = 0., (51, 18) = 0., (51, 19) = 0., (51, 20) = 0., (51, 21) = 0., (51, 22) = 0., (51, 23) = 0., (51, 24) = 0., (51, 25) = 0., (51, 26) = 0., (51, 27) = 0., (51, 28) = 0., (51, 29) = 0., (51, 30) = 0., (51, 31) = 0., (52, 1) = "2001 - 2040", (52, 2) = 0., (52, 3) = 0., (52, 4) = 0., (52, 5) = 0., (52, 6) = 0., (52, 7) = 0., (52, 8) = 0., (52, 9) = 0., (52, 10) = 0., (52, 11) = 0., (52, 12) = 0., (52, 13) = 0., (52, 14) = 0., (52, 15) = 0., (52, 16) = 0., (52, 17) = 0., (52, 18) = 0., (52, 19) = 0., (52, 20) = 0., (52, 21) = 0., (52, 22) = 0., (52, 23) = 0., (52, 24) = 0., (52, 25) = 0., (52, 26) = 0., (52, 27) = 0., (52, 28) = 0., (52, 29) = 0., (52, 30) = 0., (52, 31) = 0., (53, 1) = "2041 - 2080", (53, 2) = 0., (53, 3) = 0., (53, 4) = 0., (53, 5) = 0., (53, 6) = 0., (53, 7) = 0., (53, 8) = 0., (53, 9) = 0., (53, 10) = 0., (53, 11) = 0., (53, 12) = 0., (53, 13) = 0., (53, 14) = 0., (53, 15) = 0., (53, 16) = 0., (53, 17) = 0., (53, 18) = 0., (53, 19) = 0., (53, 20) = 0., (53, 21) = 0., (53, 22) = 0., (53, 23) = 0., (53, 24) = 0., (53, 25) = 0., (53, 26) = 0., (53, 27) = 0., (53, 28) = 0., (53, 29) = 0., (53, 30) = 0., (53, 31) = 0., (54, 1) = "2081 - 2120", (54, 2) = 0., (54, 3) = 0., (54, 4) = 0., (54, 5) = 0., (54, 6) = 0., (54, 7) = 0., (54, 8) = 0., (54, 9) = 0., (54, 10) = 0., (54, 11) = 0., (54, 12) = 0., (54, 13) = 0., (54, 14) = 0., (54, 15) = 0., (54, 16) = 0., (54, 17) = 0., (54, 18) = 0., (54, 19) = 0., (54, 20) = 0., (54, 21) = 0., (54, 22) = 0., (54, 23) = 0., (54, 24) = 0., (54, 25) = 0., (54, 26) = 0., (54, 27) = 0., (54, 28) = 0., (54, 29) = 0., (54, 30) = 0., (54, 31) = 0., (55, 1) = "2121 - 2160", (55, 2) = 0., (55, 3) = 0., (55, 4) = 0., (55, 5) = 0., (55, 6) = 0., (55, 7) = 0., (55, 8) = 0., (55, 9) = 0., (55, 10) = 0., (55, 11) = 0., (55, 12) = 0., (55, 13) = 0., (55, 14) = 0., (55, 15) = 0., (55, 16) = 0., (55, 17) = 0., (55, 18) = 0., (55, 19) = 0., (55, 20) = 0., (55, 21) = 0., (55, 22) = 0., (55, 23) = 0., (55, 24) = 0., (55, 25) = 0., (55, 26) = 0., (55, 27) = 0., (55, 28) = 0., (55, 29) = 0., (55, 30) = 0., (55, 31) = 0., (56, 1) = "2161 - 2200", (56, 2) = 0., (56, 3) = 0., (56, 4) = 0., (56, 5) = 0., (56, 6) = 0., (56, 7) = 0., (56, 8) = 0., (56, 9) = 0., (56, 10) = 0., (56, 11) = 0., (56, 12) = 0., (56, 13) = 0., (56, 14) = 0., (56, 15) = 0., (56, 16) = 0., (56, 17) = 0., (56, 18) = 0., (56, 19) = 0., (56, 20) = 0., (56, 21) = 0., (56, 22) = 0., (56, 23) = 0., (56, 24) = 0., (56, 25) = 0., (56, 26) = 0., (56, 27) = 0., (56, 28) = 0., (56, 29) = 0., (56, 30) = 0., (56, 31) = 0., (57, 1) = "2201 - 2240", (57, 2) = 0., (57, 3) = 0., (57, 4) = 0., (57, 5) = 0., (57, 6) = 0., (57, 7) = 0., (57, 8) = 0., (57, 9) = 0., (57, 10) = 0., (57, 11) = 0., (57, 12) = 0., (57, 13) = 0., (57, 14) = 0., (57, 15) = 0., (57, 16) = 0., (57, 17) = 0., (57, 18) = 0., (57, 19) = 0., (57, 20) = 0., (57, 21) = 0., (57, 22) = 0., (57, 23) = 0., (57, 24) = 0., (57, 25) = 0., (57, 26) = 0., (57, 27) = 0., (57, 28) = 0., (57, 29) = 0., (57, 30) = 0., (57, 31) = 0., (58, 1) = "2241 - 2280", (58, 2) = 0., (58, 3) = 0., (58, 4) = 0., (58, 5) = 0., (58, 6) = 0., (58, 7) = 0., (58, 8) = 0., (58, 9) = 0., (58, 10) = 0., (58, 11) = 0., (58, 12) = 0., (58, 13) = 0., (58, 14) = 0., (58, 15) = 0., (58, 16) = 0., (58, 17) = 0., (58, 18) = 0., (58, 19) = 0., (58, 20) = 0., (58, 21) = 0., (58, 22) = 0., (58, 23) = 0., (58, 24) = 0., (58, 25) = 0., (58, 26) = 0., (58, 27) = 0., (58, 28) = 0., (58, 29) = 0., (58, 30) = 0., (58, 31) = 0., (59, 1) = "2281 - 2320", (59, 2) = 0., (59, 3) = 0., (59, 4) = 0., (59, 5) = 0., (59, 6) = 0., (59, 7) = 0., (59, 8) = 0., (59, 9) = 0., (59, 10) = 0., (59, 11) = 0., (59, 12) = 0., (59, 13) = 0., (59, 14) = 0., (59, 15) = 0., (59, 16) = 0., (59, 17) = 0., (59, 18) = 0., (59, 19) = 0., (59, 20) = 0., (59, 21) = 0., (59, 22) = 0., (59, 23) = 0., (59, 24) = 0., (59, 25) = 0., (59, 26) = 0., (59, 27) = 0., (59, 28) = 0., (59, 29) = 0., (59, 30) = 0., (59, 31) = 0., (60, 1) = "2321 - 2360", (60, 2) = 0., (60, 3) = 0., (60, 4) = 0., (60, 5) = 0., (60, 6) = 0., (60, 7) = 0., (60, 8) = 0., (60, 9) = 0., (60, 10) = 0., (60, 11) = 0., (60, 12) = 0., (60, 13) = 0., (60, 14) = 0., (60, 15) = 0., (60, 16) = 0., (60, 17) = 0., (60, 18) = 0., (60, 19) = 0., (60, 20) = 0., (60, 21) = 0., (60, 22) = 0., (60, 23) = 0., (60, 24) = 0., (60, 25) = 0., (60, 26) = 0., (60, 27) = 0., (60, 28) = 0., (60, 29) = 0., (60, 30) = 0., (60, 31) = 0., (61, 1) = "2361 - 2400", (61, 2) = 0., (61, 3) = 0., (61, 4) = 0., (61, 5) = 0., (61, 6) = 0., (61, 7) = 0., (61, 8) = 0., (61, 9) = 0., (61, 10) = 0., (61, 11) = 0., (61, 12) = 0., (61, 13) = 0., (61, 14) = 0., (61, 15) = 0., (61, 16) = 0., (61, 17) = 0., (61, 18) = 0., (61, 19) = 0., (61, 20) = 0., (61, 21) = 0., (61, 22) = 0., (61, 23) = 0., (61, 24) = 0., (61, 25) = 0., (61, 26) = 0., (61, 27) = 0., (61, 28) = 0., (61, 29) = 0., (61, 30) = 0., (61, 31) = 0., (62, 1) = "2401 - 2440", (62, 2) = 0., (62, 3) = 0., (62, 4) = 0., (62, 5) = 0., (62, 6) = 0., (62, 7) = 0., (62, 8) = 0., (62, 9) = 0., (62, 10) = 0., (62, 11) = 0., (62, 12) = 0., (62, 13) = 0., (62, 14) = 0., (62, 15) = 0., (62, 16) = 0., (62, 17) = 0., (62, 18) = 0., (62, 19) = 0., (62, 20) = 0., (62, 21) = 0., (62, 22) = 0., (62, 23) = 0., (62, 24) = 0., (62, 25) = 0., (62, 26) = 0., (62, 27) = 0., (62, 28) = 0., (62, 29) = 0., (62, 30) = 0., (62, 31) = 0., (63, 1) = "2441 - 2480", (63, 2) = 0., (63, 3) = 0., (63, 4) = 0., (63, 5) = 0., (63, 6) = 0., (63, 7) = 0., (63, 8) = 0., (63, 9) = 0., (63, 10) = 0., (63, 11) = 0., (63, 12) = 0., (63, 13) = 0., (63, 14) = 0., (63, 15) = 0., (63, 16) = 0., (63, 17) = 0., (63, 18) = 0., (63, 19) = 0., (63, 20) = 0., (63, 21) = 0., (63, 22) = 0., (63, 23) = 0., (63, 24) = 0., (63, 25) = 0., (63, 26) = 0., (63, 27) = 0., (63, 28) = 0., (63, 29) = 0., (63, 30) = 0., (63, 31) = 0., (64, 1) = "2481 - 2520", (64, 2) = 0., (64, 3) = 0., (64, 4) = 0., (64, 5) = 0., (64, 6) = 0., (64, 7) = 0., (64, 8) = 0., (64, 9) = 0., (64, 10) = 0., (64, 11) = 0., (64, 12) = 0., (64, 13) = 0., (64, 14) = 0., (64, 15) = 0., (64, 16) = 0., (64, 17) = 0., (64, 18) = 0., (64, 19) = 0., (64, 20) = 0., (64, 21) = 0., (64, 22) = 0., (64, 23) = 0., (64, 24) = 0., (64, 25) = 0., (64, 26) = 0., (64, 27) = 0., (64, 28) = 0., (64, 29) = 0., (64, 30) = 0., (64, 31) = 0., (65, 1) = "2521 - 2560", (65, 2) = 0., (65, 3) = 0., (65, 4) = 0., (65, 5) = 0., (65, 6) = 0., (65, 7) = 0., (65, 8) = 0., (65, 9) = 0., (65, 10) = 0., (65, 11) = 0., (65, 12) = 0., (65, 13) = 0., (65, 14) = 0., (65, 15) = 0., (65, 16) = 0., (65, 17) = 0., (65, 18) = 0., (65, 19) = 0., (65, 20) = 0., (65, 21) = 0., (65, 22) = 0., (65, 23) = 0., (65, 24) = 0., (65, 25) = 0., (65, 26) = 0., (65, 27) = 0., (65, 28) = 0., (65, 29) = 0., (65, 30) = 0., (65, 31) = 0., (66, 1) = "2561 - 2600", (66, 2) = 0., (66, 3) = 0., (66, 4) = 0., (66, 5) = 0., (66, 6) = 0., (66, 7) = 0., (66, 8) = 0., (66, 9) = 0., (66, 10) = 0., (66, 11) = 0., (66, 12) = 0., (66, 13) = 0., (66, 14) = 0., (66, 15) = 0., (66, 16) = 0., (66, 17) = 0., (66, 18) = 0., (66, 19) = 0., (66, 20) = 0., (66, 21) = 0., (66, 22) = 0., (66, 23) = 0., (66, 24) = 0., (66, 25) = 0., (66, 26) = 0., (66, 27) = 0., (66, 28) = 0., (66, 29) = 0., (66, 30) = 0., (66, 31) = 0., (67, 1) = "2601 - 2640", (67, 2) = 0., (67, 3) = 0., (67, 4) = 0., (67, 5) = 0., (67, 6) = 0., (67, 7) = 0., (67, 8) = 0., (67, 9) = 0., (67, 10) = 0., (67, 11) = 0., (67, 12) = 0., (67, 13) = 0., (67, 14) = 0., (67, 15) = 0., (67, 16) = 0., (67, 17) = 0., (67, 18) = 0., (67, 19) = 0., (67, 20) = 0., (67, 21) = 0., (67, 22) = 0., (67, 23) = 0., (67, 24) = 0., (67, 25) = 0., (67, 26) = 0., (67, 27) = 0., (67, 28) = 0., (67, 29) = 0., (67, 30) = 0., (67, 31) = 0., (68, 1) = "2641 - 2680", (68, 2) = 0., (68, 3) = 0., (68, 4) = 0., (68, 5) = 0., (68, 6) = 0., (68, 7) = 0., (68, 8) = 0., (68, 9) = 0., (68, 10) = 0., (68, 11) = 0., (68, 12) = 0., (68, 13) = 0., (68, 14) = 0., (68, 15) = 0., (68, 16) = 0., (68, 17) = 0., (68, 18) = 0., (68, 19) = 0., (68, 20) = 0., (68, 21) = 0., (68, 22) = 0., (68, 23) = 0., (68, 24) = 0., (68, 25) = 0., (68, 26) = 0., (68, 27) = 0., (68, 28) = 0., (68, 29) = 0., (68, 30) = 0., (68, 31) = 0., (69, 1) = "2681 - 2720", (69, 2) = 0., (69, 3) = 0., (69, 4) = 0., (69, 5) = 0., (69, 6) = 0., (69, 7) = 0., (69, 8) = 0., (69, 9) = 0., (69, 10) = 0., (69, 11) = 0., (69, 12) = 0., (69, 13) = 0., (69, 14) = 0., (69, 15) = 0., (69, 16) = 0., (69, 17) = 0., (69, 18) = 0., (69, 19) = 0., (69, 20) = 0., (69, 21) = 0., (69, 22) = 0., (69, 23) = 0., (69, 24) = 0., (69, 25) = 0., (69, 26) = 0., (69, 27) = 0., (69, 28) = 0., (69, 29) = 0., (69, 30) = 0., (69, 31) = 0., (70, 1) = "2721 - 2760", (70, 2) = 0., (70, 3) = 0., (70, 4) = 0., (70, 5) = 0., (70, 6) = 0., (70, 7) = 0., (70, 8) = 0., (70, 9) = 0., (70, 10) = 0., (70, 11) = 0., (70, 12) = 0., (70, 13) = 0., (70, 14) = 0., (70, 15) = 0., (70, 16) = 0., (70, 17) = 0., (70, 18) = 0., (70, 19) = 0., (70, 20) = 0., (70, 21) = 0., (70, 22) = 0., (70, 23) = 0., (70, 24) = 0., (70, 25) = 0., (70, 26) = 0., (70, 27) = 0., (70, 28) = 0., (70, 29) = 0., (70, 30) = 0., (70, 31) = 0., (71, 1) = "2761 - 2800", (71, 2) = 0., (71, 3) = 0., (71, 4) = 0., (71, 5) = 0., (71, 6) = 0., (71, 7) = 0., (71, 8) = 0., (71, 9) = 0., (71, 10) = 0., (71, 11) = 0., (71, 12) = 0., (71, 13) = 0., (71, 14) = 0., (71, 15) = 0., (71, 16) = 0., (71, 17) = 0., (71, 18) = 0., (71, 19) = 0., (71, 20) = 0., (71, 21) = 0., (71, 22) = 0., (71, 23) = 0., (71, 24) = 0., (71, 25) = 0., (71, 26) = 0., (71, 27) = 0., (71, 28) = 0., (71, 29) = 0., (71, 30) = 0., (71, 31) = 0., (72, 1) = "2801 - 2840", (72, 2) = 0., (72, 3) = 0., (72, 4) = 0., (72, 5) = 0., (72, 6) = 0., (72, 7) = 0., (72, 8) = 0., (72, 9) = 0., (72, 10) = 0., (72, 11) = 0., (72, 12) = 0., (72, 13) = 0., (72, 14) = 0., (72, 15) = 0., (72, 16) = 0., (72, 17) = 0., (72, 18) = 0., (72, 19) = 0., (72, 20) = 0., (72, 21) = 0., (72, 22) = 0., (72, 23) = 0., (72, 24) = 0., (72, 25) = 0., (72, 26) = 0., (72, 27) = 0., (72, 28) = 0., (72, 29) = 0., (72, 30) = 0., (72, 31) = 0., (73, 1) = "2841 - 2880", (73, 2) = 0., (73, 3) = 0., (73, 4) = 0., (73, 5) = 0., (73, 6) = 0., (73, 7) = 0., (73, 8) = 0., (73, 9) = 0., (73, 10) = 0., (73, 11) = 0., (73, 12) = 0., (73, 13) = 0., (73, 14) = 0., (73, 15) = 0., (73, 16) = 0., (73, 17) = 0., (73, 18) = 0., (73, 19) = 0., (73, 20) = 0., (73, 21) = 0., (73, 22) = 0., (73, 23) = 0., (73, 24) = 0., (73, 25) = 0., (73, 26) = 0., (73, 27) = 0., (73, 28) = 0., (73, 29) = 0., (73, 30) = 0., (73, 31) = 0., (74, 1) = "2881 - 2920", (74, 2) = 0., (74, 3) = 0., (74, 4) = 0., (74, 5) = 0., (74, 6) = 0., (74, 7) = 0., (74, 8) = 0., (74, 9) = 0., (74, 10) = 0., (74, 11) = 0., (74, 12) = 0., (74, 13) = 0., (74, 14) = 0., (74, 15) = 0., (74, 16) = 0., (74, 17) = 0., (74, 18) = 0., (74, 19) = 0., (74, 20) = 0., (74, 21) = 0., (74, 22) = 0., (74, 23) = 0., (74, 24) = 0., (74, 25) = 0., (74, 26) = 0., (74, 27) = 0., (74, 28) = 0., (74, 29) = 0., (74, 30) = 0., (74, 31) = 0., (75, 1) = "2921 - 2960", (75, 2) = 0., (75, 3) = 0., (75, 4) = 0., (75, 5) = 0., (75, 6) = 0., (75, 7) = 0., (75, 8) = 0., (75, 9) = 0., (75, 10) = 0., (75, 11) = 0., (75, 12) = 0., (75, 13) = 0., (75, 14) = 0., (75, 15) = 0., (75, 16) = 0., (75, 17) = 0., (75, 18) = 0., (75, 19) = 0., (75, 20) = 0., (75, 21) = 0., (75, 22) = 0., (75, 23) = 0., (75, 24) = 0., (75, 25) = 0., (75, 26) = 0., (75, 27) = 0., (75, 28) = 0., (75, 29) = 0., (75, 30) = 0., (75, 31) = 0., (76, 1) = "2961 - 3000", (76, 2) = 0., (76, 3) = 0., (76, 4) = 0., (76, 5) = 0., (76, 6) = 0., (76, 7) = 0., (76, 8) = 0., (76, 9) = 0., (76, 10) = 0., (76, 11) = 0., (76, 12) = 0., (76, 13) = 0., (76, 14) = 0., (76, 15) = 0., (76, 16) = 0., (76, 17) = 0., (76, 18) = 0., (76, 19) = 0., (76, 20) = 0., (76, 21) = 0., (76, 22) = 0., (76, 23) = 0., (76, 24) = 0., (76, 25) = 0., (76, 26) = 0., (76, 27) = 0., (76, 28) = 0., (76, 29) = 0., (76, 30) = 0., (76, 31) = 0., (77, 1) = "3001 - 3040", (77, 2) = 0., (77, 3) = 0., (77, 4) = 0., (77, 5) = 0., (77, 6) = 0., (77, 7) = 0., (77, 8) = 0., (77, 9) = 0., (77, 10) = 0., (77, 11) = 0., (77, 12) = 0., (77, 13) = 0., (77, 14) = 0., (77, 15) = 0., (77, 16) = 0., (77, 17) = 0., (77, 18) = 0., (77, 19) = 0., (77, 20) = 0., (77, 21) = 0., (77, 22) = 0., (77, 23) = 0., (77, 24) = 0., (77, 25) = 0., (77, 26) = 0., (77, 27) = 0., (77, 28) = 0., (77, 29) = 0., (77, 30) = 0., (77, 31) = 0., (78, 1) = "3041 - 3080", (78, 2) = 0., (78, 3) = 0., (78, 4) = 0., (78, 5) = 0., (78, 6) = 0., (78, 7) = 0., (78, 8) = 0., (78, 9) = 0., (78, 10) = 0., (78, 11) = 0., (78, 12) = 0., (78, 13) = 0., (78, 14) = 0., (78, 15) = 0., (78, 16) = 0., (78, 17) = 0., (78, 18) = 0., (78, 19) = 0., (78, 20) = 0., (78, 21) = 0., (78, 22) = 0., (78, 23) = 0., (78, 24) = 0., (78, 25) = 0., (78, 26) = 0., (78, 27) = 0., (78, 28) = 0., (78, 29) = 0., (78, 30) = 0., (78, 31) = 0., (79, 1) = "3081 - 3120", (79, 2) = 0., (79, 3) = 0., (79, 4) = 0., (79, 5) = 0., (79, 6) = 0., (79, 7) = 0., (79, 8) = 0., (79, 9) = 0., (79, 10) = 0., (79, 11) = 0., (79, 12) = 0., (79, 13) = 0., (79, 14) = 0., (79, 15) = 0., (79, 16) = 0., (79, 17) = 0., (79, 18) = 0., (79, 19) = 0., (79, 20) = 0., (79, 21) = 0., (79, 22) = 0., (79, 23) = 0., (79, 24) = 0., (79, 25) = 0., (79, 26) = 0., (79, 27) = 0., (79, 28) = 0., (79, 29) = 0., (79, 30) = 0., (79, 31) = 0., (80, 1) = "3121 - 3160", (80, 2) = 0., (80, 3) = 0., (80, 4) = 0., (80, 5) = 0., (80, 6) = 0., (80, 7) = 0., (80, 8) = 0., (80, 9) = 0., (80, 10) = 0., (80, 11) = 0., (80, 12) = 0., (80, 13) = 0., (80, 14) = 0., (80, 15) = 0., (80, 16) = 0., (80, 17) = 0., (80, 18) = 0., (80, 19) = 0., (80, 20) = 0., (80, 21) = 0., (80, 22) = 0., (80, 23) = 0., (80, 24) = 0., (80, 25) = 0., (80, 26) = 0., (80, 27) = 0., (80, 28) = 0., (80, 29) = 0., (80, 30) = 0., (80, 31) = 0., (81, 1) = "3161 - 3200", (81, 2) = 0., (81, 3) = 0., (81, 4) = 0., (81, 5) = 0., (81, 6) = 0., (81, 7) = 0., (81, 8) = 0., (81, 9) = 0., (81, 10) = 0., (81, 11) = 0., (81, 12) = 0., (81, 13) = 0., (81, 14) = 0., (81, 15) = 0., (81, 16) = 0., (81, 17) = 0., (81, 18) = 0., (81, 19) = 0., (81, 20) = 0., (81, 21) = 0., (81, 22) = 0., (81, 23) = 0., (81, 24) = 0., (81, 25) = 0., (81, 26) = 0., (81, 27) = 0., (81, 28) = 0., (81, 29) = 0., (81, 30) = 0., (81, 31) = 0., (82, 1) = "3201 - 3240", (82, 2) = 0., (82, 3) = 0., (82, 4) = 0., (82, 5) = 0., (82, 6) = 0., (82, 7) = 0., (82, 8) = 0., (82, 9) = 0., (82, 10) = 0., (82, 11) = 0., (82, 12) = 0., (82, 13) = 0., (82, 14) = 0., (82, 15) = 0., (82, 16) = 0., (82, 17) = 0., (82, 18) = 0., (82, 19) = 0., (82, 20) = 0., (82, 21) = 0., (82, 22) = 0., (82, 23) = 0., (82, 24) = 0., (82, 25) = 0., (82, 26) = 0., (82, 27) = 0., (82, 28) = 0., (82, 29) = 0., (82, 30) = 0., (82, 31) = 0., (83, 1) = "3241 - 3280", (83, 2) = 0., (83, 3) = 0., (83, 4) = 0., (83, 5) = 0., (83, 6) = 0., (83, 7) = 0., (83, 8) = 0., (83, 9) = 0., (83, 10) = 0., (83, 11) = 0., (83, 12) = 0., (83, 13) = 0., (83, 14) = 0., (83, 15) = 0., (83, 16) = 0., (83, 17) = 0., (83, 18) = 0., (83, 19) = 0., (83, 20) = 0., (83, 21) = 0., (83, 22) = 0., (83, 23) = 0., (83, 24) = 0., (83, 25) = 0., (83, 26) = 0., (83, 27) = 0., (83, 28) = 0., (83, 29) = 0., (83, 30) = 0., (83, 31) = 0., (84, 1) = "3281 - 3320", (84, 2) = 0., (84, 3) = 0., (84, 4) = 0., (84, 5) = 0., (84, 6) = 0., (84, 7) = 0., (84, 8) = 0., (84, 9) = 0., (84, 10) = 0., (84, 11) = 0., (84, 12) = 0., (84, 13) = 0., (84, 14) = 0., (84, 15) = 0., (84, 16) = 0., (84, 17) = 0., (84, 18) = 0., (84, 19) = 0., (84, 20) = 0., (84, 21) = 0., (84, 22) = 0., (84, 23) = 0., (84, 24) = 0., (84, 25) = 0., (84, 26) = 0., (84, 27) = 0., (84, 28) = 0., (84, 29) = 0., (84, 30) = 0., (84, 31) = 0., (85, 1) = "3321 - 3360", (85, 2) = 0., (85, 3) = 0., (85, 4) = 0., (85, 5) = 0., (85, 6) = 0., (85, 7) = 0., (85, 8) = 0., (85, 9) = 0., (85, 10) = 0., (85, 11) = 0., (85, 12) = 0., (85, 13) = 0., (85, 14) = 0., (85, 15) = 0., (85, 16) = 0., (85, 17) = 0., (85, 18) = 0., (85, 19) = 0., (85, 20) = 0., (85, 21) = 0., (85, 22) = 0., (85, 23) = 0., (85, 24) = 0., (85, 25) = 0., (85, 26) = 0., (85, 27) = 0., (85, 28) = 0., (85, 29) = 0., (85, 30) = 0., (85, 31) = 0., (86, 1) = "3361 - 3400", (86, 2) = 0., (86, 3) = 0., (86, 4) = 0., (86, 5) = 0., (86, 6) = 0., (86, 7) = 0., (86, 8) = 0., (86, 9) = 0., (86, 10) = 0., (86, 11) = 0., (86, 12) = 0., (86, 13) = 0., (86, 14) = 0., (86, 15) = 0., (86, 16) = 0., (86, 17) = 0., (86, 18) = 0., (86, 19) = 0., (86, 20) = 0., (86, 21) = 0., (86, 22) = 0., (86, 23) = 0., (86, 24) = 0., (86, 25) = 0., (86, 26) = 0., (86, 27) = 0., (86, 28) = 0., (86, 29) = 0., (86, 30) = 0., (86, 31) = 0., (87, 1) = "3401 - 3440", (87, 2) = 0., (87, 3) = 0., (87, 4) = 0., (87, 5) = 0., (87, 6) = 0., (87, 7) = 0., (87, 8) = 0., (87, 9) = 0., (87, 10) = 0., (87, 11) = 0., (87, 12) = 0., (87, 13) = 0., (87, 14) = 0., (87, 15) = 0., (87, 16) = 0., (87, 17) = 0., (87, 18) = 0., (87, 19) = 0., (87, 20) = 0., (87, 21) = 0., (87, 22) = 0., (87, 23) = 0., (87, 24) = 0., (87, 25) = 0., (87, 26) = 0., (87, 27) = 0., (87, 28) = 0., (87, 29) = 0., (87, 30) = 0., (87, 31) = 0., (88, 1) = "3441 - 3480", (88, 2) = 0., (88, 3) = 0., (88, 4) = 0., (88, 5) = 0., (88, 6) = 0., (88, 7) = 0., (88, 8) = 0., (88, 9) = 0., (88, 10) = 0., (88, 11) = 0., (88, 12) = 0., (88, 13) = 0., (88, 14) = 0., (88, 15) = 0., (88, 16) = 0., (88, 17) = 0., (88, 18) = 0., (88, 19) = 0., (88, 20) = 0., (88, 21) = 0., (88, 22) = 0., (88, 23) = 0., (88, 24) = 0., (88, 25) = 0., (88, 26) = 0., (88, 27) = 0., (88, 28) = 0., (88, 29) = 0., (88, 30) = 0., (88, 31) = 0., (89, 1) = "3481 - 3520", (89, 2) = 0., (89, 3) = 0., (89, 4) = 0., (89, 5) = 0., (89, 6) = 0., (89, 7) = 0., (89, 8) = 0., (89, 9) = 0., (89, 10) = 0., (89, 11) = 0., (89, 12) = 0., (89, 13) = 0., (89, 14) = 0., (89, 15) = 0., (89, 16) = 0., (89, 17) = 0., (89, 18) = 0., (89, 19) = 0., (89, 20) = 0., (89, 21) = 0., (89, 22) = 0., (89, 23) = 0., (89, 24) = 0., (89, 25) = 0., (89, 26) = 0., (89, 27) = 0., (89, 28) = 0., (89, 29) = 0., (89, 30) = 0., (89, 31) = 0., (90, 1) = "3521 - 3560", (90, 2) = 0., (90, 3) = 0., (90, 4) = 0., (90, 5) = 0., (90, 6) = 0., (90, 7) = 0., (90, 8) = 0., (90, 9) = 0., (90, 10) = 0., (90, 11) = 0., (90, 12) = 0., (90, 13) = 0., (90, 14) = 0., (90, 15) = 0., (90, 16) = 0., (90, 17) = 0., (90, 18) = 0., (90, 19) = 0., (90, 20) = 0., (90, 21) = 0., (90, 22) = 0., (90, 23) = 0., (90, 24) = 0., (90, 25) = 0., (90, 26) = 0., (90, 27) = 0., (90, 28) = 0., (90, 29) = 0., (90, 30) = 0., (90, 31) = 0., (91, 1) = "3561 - 3600", (91, 2) = 0., (91, 3) = 0., (91, 4) = 0., (91, 5) = 0., (91, 6) = 0., (91, 7) = 0., (91, 8) = 0., (91, 9) = 0., (91, 10) = 0., (91, 11) = 0., (91, 12) = 0., (91, 13) = 0., (91, 14) = 0., (91, 15) = 0., (91, 16) = 0., (91, 17) = 0., (91, 18) = 0., (91, 19) = 0., (91, 20) = 0., (91, 21) = 0., (91, 22) = 0., (91, 23) = 0., (91, 24) = 0., (91, 25) = 0., (91, 26) = 0., (91, 27) = 0., (91, 28) = 0., (91, 29) = 0., (91, 30) = 0., (91, 31) = 0., (92, 1) = "3601 - 3640", (92, 2) = 0., (92, 3) = 0., (92, 4) = 0., (92, 5) = 0., (92, 6) = 0., (92, 7) = 0., (92, 8) = 0., (92, 9) = 0., (92, 10) = 0., (92, 11) = 0., (92, 12) = 0., (92, 13) = 0., (92, 14) = 0., (92, 15) = 0., (92, 16) = 0., (92, 17) = 0., (92, 18) = 0., (92, 19) = 0., (92, 20) = 0., (92, 21) = 0., (92, 22) = 0., (92, 23) = 0., (92, 24) = 0., (92, 25) = 0., (92, 26) = 0., (92, 27) = 0., (92, 28) = 0., (92, 29) = 0., (92, 30) = 0., (92, 31) = 0., (93, 1) = "3641 - 3680", (93, 2) = 0., (93, 3) = 0., (93, 4) = 0., (93, 5) = 0., (93, 6) = 0., (93, 7) = 0., (93, 8) = 0., (93, 9) = 0., (93, 10) = 0., (93, 11) = 0., (93, 12) = 0., (93, 13) = 0., (93, 14) = 0., (93, 15) = 0., (93, 16) = 0., (93, 17) = 0., (93, 18) = 0., (93, 19) = 0., (93, 20) = 0., (93, 21) = 0., (93, 22) = 0., (93, 23) = 0., (93, 24) = 0., (93, 25) = 0., (93, 26) = 0., (93, 27) = 0., (93, 28) = 0., (93, 29) = 0., (93, 30) = 0., (93, 31) = 0., (94, 1) = "3681 - 3720", (94, 2) = 0., (94, 3) = 0., (94, 4) = 0., (94, 5) = 0., (94, 6) = 0., (94, 7) = 0., (94, 8) = 0., (94, 9) = 0., (94, 10) = 0., (94, 11) = 0., (94, 12) = 0., (94, 13) = 0., (94, 14) = 0., (94, 15) = 0., (94, 16) = 0., (94, 17) = 0., (94, 18) = 0., (94, 19) = 0., (94, 20) = 0., (94, 21) = 0., (94, 22) = 0., (94, 23) = 0., (94, 24) = 0., (94, 25) = 0., (94, 26) = 0., (94, 27) = 0., (94, 28) = 0., (94, 29) = 0., (94, 30) = 0., (94, 31) = 0., (95, 1) = "3721 - 3760", (95, 2) = 0., (95, 3) = 0., (95, 4) = 0., (95, 5) = 0., (95, 6) = 0., (95, 7) = 0., (95, 8) = 0., (95, 9) = 0., (95, 10) = 0., (95, 11) = 0., (95, 12) = 0., (95, 13) = 0., (95, 14) = 0., (95, 15) = 0., (95, 16) = 0., (95, 17) = 0., (95, 18) = 0., (95, 19) = 0., (95, 20) = 0., (95, 21) = 0., (95, 22) = 0., (95, 23) = 0., (95, 24) = 0., (95, 25) = 0., (95, 26) = 0., (95, 27) = 0., (95, 28) = 0., (95, 29) = 0., (95, 30) = 0., (95, 31) = 0., (96, 1) = "3761 - 3800", (96, 2) = 0., (96, 3) = 0., (96, 4) = 0., (96, 5) = 0., (96, 6) = 0., (96, 7) = 0., (96, 8) = 0., (96, 9) = 0., (96, 10) = 0., (96, 11) = 0., (96, 12) = 0., (96, 13) = 0., (96, 14) = 0., (96, 15) = 0., (96, 16) = 0., (96, 17) = 0., (96, 18) = 0., (96, 19) = 0., (96, 20) = 0., (96, 21) = 0., (96, 22) = 0., (96, 23) = 0., (96, 24) = 0., (96, 25) = 0., (96, 26) = 0., (96, 27) = 0., (96, 28) = 0., (96, 29) = 0., (96, 30) = 0., (96, 31) = 0., (97, 1) = "3801 - 3840", (97, 2) = 0., (97, 3) = 0., (97, 4) = 0., (97, 5) = 0., (97, 6) = 0., (97, 7) = 0., (97, 8) = 0., (97, 9) = 0., (97, 10) = 0., (97, 11) = 0., (97, 12) = 0., (97, 13) = 0., (97, 14) = 0., (97, 15) = 0., (97, 16) = 0., (97, 17) = 0., (97, 18) = 0., (97, 19) = 0., (97, 20) = 0., (97, 21) = 0., (97, 22) = 0., (97, 23) = 0., (97, 24) = 0., (97, 25) = 0., (97, 26) = 0., (97, 27) = 0., (97, 28) = 0., (97, 29) = 0., (97, 30) = 0., (97, 31) = 0., (98, 1) = "3841 - 3880", (98, 2) = 0., (98, 3) = 0., (98, 4) = 0., (98, 5) = 0., (98, 6) = 0., (98, 7) = 0., (98, 8) = 0., (98, 9) = 0., (98, 10) = 0., (98, 11) = 0., (98, 12) = 0., (98, 13) = 0., (98, 14) = 0., (98, 15) = 0., (98, 16) = 0., (98, 17) = 0., (98, 18) = 0., (98, 19) = 0., (98, 20) = 0., (98, 21) = 0., (98, 22) = 0., (98, 23) = 0., (98, 24) = 0., (98, 25) = 0., (98, 26) = 0., (98, 27) = 0., (98, 28) = 0., (98, 29) = 0., (98, 30) = 0., (98, 31) = 0., (99, 1) = "3881 - 3920", (99, 2) = 0., (99, 3) = 0., (99, 4) = 0., (99, 5) = 0., (99, 6) = 0., (99, 7) = 0., (99, 8) = 0., (99, 9) = 0., (99, 10) = 0., (99, 11) = 0., (99, 12) = 0., (99, 13) = 0., (99, 14) = 0., (99, 15) = 0., (99, 16) = 0., (99, 17) = 0., (99, 18) = 0., (99, 19) = 0., (99, 20) = 0., (99, 21) = 0., (99, 22) = 0., (99, 23) = 0., (99, 24) = 0., (99, 25) = 0., (99, 26) = 0., (99, 27) = 0., (99, 28) = 0., (99, 29) = 0., (99, 30) = 0., (99, 31) = 0., (100, 1) = "3921 - 3960", (100, 2) = 0., (100, 3) = 0., (100, 4) = 0., (100, 5) = 0., (100, 6) = 0., (100, 7) = 0., (100, 8) = 0., (100, 9) = 0., (100, 10) = 0., (100, 11) = 0., (100, 12) = 0., (100, 13) = 0., (100, 14) = 0., (100, 15) = 0., (100, 16) = 0., (100, 17) = 0., (100, 18) = 0., (100, 19) = 0., (100, 20) = 0., (100, 21) = 0., (100, 22) = 0., (100, 23) = 0., (100, 24) = 0., (100, 25) = 0., (100, 26) = 0., (100, 27) = 0., (100, 28) = 0., (100, 29) = 0., (100, 30) = 0., (100, 31) = 0., (101, 1) = "3961 - 4000", (101, 2) = 0., (101, 3) = 0., (101, 4) = 0., (101, 5) = 0., (101, 6) = 0., (101, 7) = 0., (101, 8) = 0., (101, 9) = 0., (101, 10) = 0., (101, 11) = 0., (101, 12) = 0., (101, 13) = 0., (101, 14) = 0., (101, 15) = 0., (101, 16) = 0., (101, 17) = 0., (101, 18) = 0., (101, 19) = 0., (101, 20) = 0., (101, 21) = 0., (101, 22) = 0., (101, 23) = 0., (101, 24) = 0., (101, 25) = 0., (101, 26) = 0., (101, 27) = 0., (101, 28) = 0., (101, 29) = 0., (101, 30) = 0., (101, 31) = 0.})

_rtable[36893490924261090836]

(1)

ArrayDims(Array3)

1 .. 101, 1 .. 31

(2)

Array3[2 .. 101, 2 .. 31]

_rtable[36893490924245926244]

(3)

C_List := ["HTML 1", "HTML 83", "HTML 80", "HTML 53", "HTML 49", "HTML 72", "HTML 141", "HTML 101", "HTML 16", "HTML 115"]

["HTML 1", "HTML 83", "HTML 80", "HTML 53", "HTML 49", "HTML 72", "HTML 141", "HTML 101", "HTML 16", "HTML 115"]

(4)

NULL

Plt1 := HeatMap(Array3[2 .. 101, 2 .. 31], color = C_List, size = [750, 450], transparency = 0)

 

``

``


 

Download Static_Array_Heat-map_test.mw

@acer 

 

Can I statically post the array3 which is an excel import (ExcelTools) without having to provide the full sheet and the file management commands to get the file data into the array?

I don't think I can post the excel file as is.

 

Thanks,

Bill

This is a great worksheet and very illuminating of the mode responses.  The animations showing the complex motions is quite amazing.

 

 

Thank You,

Bill

@Joe Riel 

 

Your original email said to contact you to know where best to get these for Windows.  The Git seems to be Unix based mostly (?).

 

Just a little navigation through your sources and steps to install please.

 

Bill

 

 

@Joe Riel 

Hi Joe and thanks for replying.

I have shied away from emacs or vi(m) as unix based.  My Ubuntu is ver 14.04 and is so old to upgrade its a nightmare on dual boot.   I am about to overhaul the dual boot and remove the Ubuntu in total just to fix windows 10 issues.  It never operated well and spent many hours with the "

sudo apt-get update

process to get past the ancient and new secruity checks that fight each other.

 

My day job is to use code to do useful things, not chase OS upgrades that obsolete functions or add features never needed, or to close a security holes that broke it in the first place..

PS., Windows does SSDD   ...Sighing much. 

 

Any assist here would be greatly appreciated and thanks again in advance!

 

Bill

@acer 

 

The first time I used this worksheet I used a length command for the vector length and it worked fine. 

Looking back I should have used ArrayTools:-NumElems for the single column vector.  

 

Anyway here is another try at uploading.Triax_18_inch_arm_X-axis_plane_trimmed_(logic_checked).xlsx

 

 

@wswain 

There was an "insert link" button next to the file uploaded.  I can't see it in my message view as posted.  So, here is the native xls file too (if it posts)

Bill

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