eight: MNIST dataset of the digit eight (small)
In Barycenter: Regularized Wasserstein Distances and Barycenters
Description
Usage
Format
Examples
Description
A list of five images of the digit eight. Each image is a 28 x 28 matrix, representing the weights of the corresponding pixels scaled s.t. they sum up to one. The images are included in a list. This dataset is based on the MNIST dataset.
Usage
1
Format
List
Examples
1
2
3
Example output
Loading required package: Rcpp
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9]
[1,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[2,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[3,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[4,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[5,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[6,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[7,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[8,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[9,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[10,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[11,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0008920397
[12,] 0 0 0 0 0 0 0.0000000000 0.0007042419 0.0036385831
[13,] 0 0 0 0 0 0 0.0001643231 0.0043662997 0.0059156318
[14,] 0 0 0 0 0 0 0.0005633935 0.0059156318 0.0059156318
[15,] 0 0 0 0 0 0 0.0005633935 0.0059156318 0.0059156318
[16,] 0 0 0 0 0 0 0.0022770488 0.0059391066 0.0059391066
[17,] 0 0 0 0 0 0 0.0059391066 0.0059156318 0.0059156318
[18,] 0 0 0 0 0 0 0.0059391066 0.0059156318 0.0059156318
[19,] 0 0 0 0 0 0 0.0059391066 0.0059156318 0.0053287636
[20,] 0 0 0 0 0 0 0.0059391066 0.0059156318 0.0018545036
[21,] 0 0 0 0 0 0 0.0059860560 0.0059391066 0.0052113899
[22,] 0 0 0 0 0 0 0.0042254513 0.0059156318 0.0059156318
[23,] 0 0 0 0 0 0 0.0011267870 0.0053287636 0.0059156318
[24,] 0 0 0 0 0 0 0.0000000000 0.0006807672 0.0030282401
[25,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[26,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[27,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[28,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[,10] [,11] [,12] [,13] [,14]
[1,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[2,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[3,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[4,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[5,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[6,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[7,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[8,] 0.000000000 0.000000000 0.0001643231 0.0005868682 0.0000000000
[9,] 0.000000000 0.001009413 0.0049766426 0.0052348647 0.0023239982
[10,] 0.001995352 0.005633935 0.0059391066 0.0059156318 0.0057747834
[11,] 0.005469612 0.005939107 0.0059860560 0.0059391066 0.0059391066
[12,] 0.005915632 0.005915632 0.0059391066 0.0059156318 0.0059156318
[13,] 0.005915632 0.005915632 0.0059391066 0.0059156318 0.0059156318
[14,] 0.005915632 0.005915632 0.0059391066 0.0050235921 0.0018075542
[15,] 0.005915632 0.005915632 0.0054461372 0.0004225451 0.0000000000
[16,] 0.005939107 0.005939107 0.0051879152 0.0000000000 0.0001643231
[17,] 0.005915632 0.005915632 0.0009859386 0.0000000000 0.0016432311
[18,] 0.005915632 0.005915632 0.0000000000 0.0007981408 0.0047653701
[19,] 0.004741895 0.005727834 0.0024413719 0.0050470668 0.0059156318
[20,] 0.000258222 0.002957816 0.0059391066 0.0059156318 0.0059156318
[21,] 0.004225451 0.004718421 0.0059860560 0.0059391066 0.0040611282
[22,] 0.005915632 0.005915632 0.0059391066 0.0052348647 0.0005868682
[23,] 0.005915632 0.005915632 0.0048123195 0.0013145848 0.0000000000
[24,] 0.002793493 0.003521209 0.0004929693 0.0000000000 0.0000000000
[25,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[26,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[27,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[28,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[,15] [,16] [,17] [,18] [,19]
[1,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[2,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[3,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[4,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[5,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[6,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[7,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[8,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0004460199
[9,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0038498556
[10,] 0.0009859386 0.0000000000 0.0000000000 0.001009413 0.0057747834
[11,] 0.0059391066 0.0034742600 0.0005633935 0.002770018 0.0059391066
[12,] 0.0059156318 0.0059156318 0.0059391066 0.005915632 0.0043897744
[13,] 0.0059156318 0.0059156318 0.0059391066 0.005633935 0.0011737365
[14,] 0.0055400362 0.0059156318 0.0059391066 0.005727834 0.0023239982
[15,] 0.0024178971 0.0059156318 0.0059391066 0.005915632 0.0057747834
[16,] 0.0037559567 0.0059391066 0.0059860560 0.005939107 0.0059391066
[17,] 0.0059156318 0.0054226625 0.0037324820 0.005422663 0.0059156318
[18,] 0.0059156318 0.0024883213 0.0001643231 0.000868565 0.0016197563
[19,] 0.0051174910 0.0003286462 0.0000000000 0.000000000 0.0000000000
[20,] 0.0025352708 0.0000000000 0.0000000000 0.000000000 0.0000000000
[21,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[22,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[23,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[24,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[25,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[26,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[27,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[28,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[,20] [,21] [,22] [,23] [,24] [,25]
[1,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[2,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[3,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[4,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[5,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[6,] 0.000000000 0.000000000 0.000000000 0.0001173736 0.0001643231 0.000258222
[7,] 0.000000000 0.001009413 0.003802906 0.0041785018 0.0043662997 0.003380361
[8,] 0.001877978 0.005774783 0.005939107 0.0059156318 0.0059156318 0.005328764
[9,] 0.005446137 0.005915632 0.004507148 0.0027934928 0.0053287636 0.005915632
[10,] 0.005915632 0.004694946 0.000258222 0.0000000000 0.0043193502 0.005915632
[11,] 0.004765370 0.000258222 0.000000000 0.0001173736 0.0044836733 0.005939107
[12,] 0.001361534 0.000000000 0.000000000 0.0011033123 0.0059156318 0.005915632
[13,] 0.000000000 0.000000000 0.000000000 0.0011033123 0.0059156318 0.005915632
[14,] 0.000000000 0.000000000 0.000000000 0.0032864621 0.0059156318 0.005915632
[15,] 0.003169088 0.002723069 0.004201977 0.0057278340 0.0059156318 0.005915632
[16,] 0.005939107 0.005939107 0.005986056 0.0059391066 0.0059391066 0.002300523
[17,] 0.005915632 0.005915632 0.005939107 0.0059156318 0.0056339351 0.000868565
[18,] 0.002840442 0.001619756 0.001619756 0.0016197563 0.0011737365 0.000000000
[19,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[20,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[21,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[22,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[23,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[24,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[25,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[26,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[27,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[28,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[,26] [,27] [,28]
[1,] 0.0000000000 0 0
[2,] 0.0000000000 0 0
[3,] 0.0000000000 0 0
[4,] 0.0000000000 0 0
[5,] 0.0000000000 0 0
[6,] 0.0000000000 0 0
[7,] 0.0000000000 0 0
[8,] 0.0011267870 0 0
[9,] 0.0032160379 0 0
[10,] 0.0056808845 0 0
[11,] 0.0059391066 0 0
[12,] 0.0054226625 0 0
[13,] 0.0032160379 0 0
[14,] 0.0032160379 0 0
[15,] 0.0007511913 0 0
[16,] 0.0000000000 0 0
[17,] 0.0000000000 0 0
[18,] 0.0000000000 0 0
[19,] 0.0000000000 0 0
[20,] 0.0000000000 0 0
[21,] 0.0000000000 0 0
[22,] 0.0000000000 0 0
[23,] 0.0000000000 0 0
[24,] 0.0000000000 0 0
[25,] 0.0000000000 0 0
[26,] 0.0000000000 0 0
[27,] 0.0000000000 0 0
[28,] 0.0000000000 0 0
Barycenter documentation built on May 2, 2019, 6:47 a.m.
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Description Usage Format Examples
Description
A list of five images of the digit eight. Each image is a 28 x 28 matrix, representing the weights of the corresponding pixels scaled s.t. they sum up to one. The images are included in a list. This dataset is based on the MNIST dataset.
Usage
1 |
Format
List
Examples
1 2 3 |
Example output
Loading required package: Rcpp
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9]
[1,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[2,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[3,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[4,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[5,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[6,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[7,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[8,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[9,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[10,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[11,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0008920397
[12,] 0 0 0 0 0 0 0.0000000000 0.0007042419 0.0036385831
[13,] 0 0 0 0 0 0 0.0001643231 0.0043662997 0.0059156318
[14,] 0 0 0 0 0 0 0.0005633935 0.0059156318 0.0059156318
[15,] 0 0 0 0 0 0 0.0005633935 0.0059156318 0.0059156318
[16,] 0 0 0 0 0 0 0.0022770488 0.0059391066 0.0059391066
[17,] 0 0 0 0 0 0 0.0059391066 0.0059156318 0.0059156318
[18,] 0 0 0 0 0 0 0.0059391066 0.0059156318 0.0059156318
[19,] 0 0 0 0 0 0 0.0059391066 0.0059156318 0.0053287636
[20,] 0 0 0 0 0 0 0.0059391066 0.0059156318 0.0018545036
[21,] 0 0 0 0 0 0 0.0059860560 0.0059391066 0.0052113899
[22,] 0 0 0 0 0 0 0.0042254513 0.0059156318 0.0059156318
[23,] 0 0 0 0 0 0 0.0011267870 0.0053287636 0.0059156318
[24,] 0 0 0 0 0 0 0.0000000000 0.0006807672 0.0030282401
[25,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[26,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[27,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[28,] 0 0 0 0 0 0 0.0000000000 0.0000000000 0.0000000000
[,10] [,11] [,12] [,13] [,14]
[1,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[2,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[3,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[4,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[5,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[6,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[7,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[8,] 0.000000000 0.000000000 0.0001643231 0.0005868682 0.0000000000
[9,] 0.000000000 0.001009413 0.0049766426 0.0052348647 0.0023239982
[10,] 0.001995352 0.005633935 0.0059391066 0.0059156318 0.0057747834
[11,] 0.005469612 0.005939107 0.0059860560 0.0059391066 0.0059391066
[12,] 0.005915632 0.005915632 0.0059391066 0.0059156318 0.0059156318
[13,] 0.005915632 0.005915632 0.0059391066 0.0059156318 0.0059156318
[14,] 0.005915632 0.005915632 0.0059391066 0.0050235921 0.0018075542
[15,] 0.005915632 0.005915632 0.0054461372 0.0004225451 0.0000000000
[16,] 0.005939107 0.005939107 0.0051879152 0.0000000000 0.0001643231
[17,] 0.005915632 0.005915632 0.0009859386 0.0000000000 0.0016432311
[18,] 0.005915632 0.005915632 0.0000000000 0.0007981408 0.0047653701
[19,] 0.004741895 0.005727834 0.0024413719 0.0050470668 0.0059156318
[20,] 0.000258222 0.002957816 0.0059391066 0.0059156318 0.0059156318
[21,] 0.004225451 0.004718421 0.0059860560 0.0059391066 0.0040611282
[22,] 0.005915632 0.005915632 0.0059391066 0.0052348647 0.0005868682
[23,] 0.005915632 0.005915632 0.0048123195 0.0013145848 0.0000000000
[24,] 0.002793493 0.003521209 0.0004929693 0.0000000000 0.0000000000
[25,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[26,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[27,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[28,] 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
[,15] [,16] [,17] [,18] [,19]
[1,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[2,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[3,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[4,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[5,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[6,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[7,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[8,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0004460199
[9,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0038498556
[10,] 0.0009859386 0.0000000000 0.0000000000 0.001009413 0.0057747834
[11,] 0.0059391066 0.0034742600 0.0005633935 0.002770018 0.0059391066
[12,] 0.0059156318 0.0059156318 0.0059391066 0.005915632 0.0043897744
[13,] 0.0059156318 0.0059156318 0.0059391066 0.005633935 0.0011737365
[14,] 0.0055400362 0.0059156318 0.0059391066 0.005727834 0.0023239982
[15,] 0.0024178971 0.0059156318 0.0059391066 0.005915632 0.0057747834
[16,] 0.0037559567 0.0059391066 0.0059860560 0.005939107 0.0059391066
[17,] 0.0059156318 0.0054226625 0.0037324820 0.005422663 0.0059156318
[18,] 0.0059156318 0.0024883213 0.0001643231 0.000868565 0.0016197563
[19,] 0.0051174910 0.0003286462 0.0000000000 0.000000000 0.0000000000
[20,] 0.0025352708 0.0000000000 0.0000000000 0.000000000 0.0000000000
[21,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[22,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[23,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[24,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[25,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[26,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[27,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[28,] 0.0000000000 0.0000000000 0.0000000000 0.000000000 0.0000000000
[,20] [,21] [,22] [,23] [,24] [,25]
[1,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[2,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[3,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[4,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[5,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[6,] 0.000000000 0.000000000 0.000000000 0.0001173736 0.0001643231 0.000258222
[7,] 0.000000000 0.001009413 0.003802906 0.0041785018 0.0043662997 0.003380361
[8,] 0.001877978 0.005774783 0.005939107 0.0059156318 0.0059156318 0.005328764
[9,] 0.005446137 0.005915632 0.004507148 0.0027934928 0.0053287636 0.005915632
[10,] 0.005915632 0.004694946 0.000258222 0.0000000000 0.0043193502 0.005915632
[11,] 0.004765370 0.000258222 0.000000000 0.0001173736 0.0044836733 0.005939107
[12,] 0.001361534 0.000000000 0.000000000 0.0011033123 0.0059156318 0.005915632
[13,] 0.000000000 0.000000000 0.000000000 0.0011033123 0.0059156318 0.005915632
[14,] 0.000000000 0.000000000 0.000000000 0.0032864621 0.0059156318 0.005915632
[15,] 0.003169088 0.002723069 0.004201977 0.0057278340 0.0059156318 0.005915632
[16,] 0.005939107 0.005939107 0.005986056 0.0059391066 0.0059391066 0.002300523
[17,] 0.005915632 0.005915632 0.005939107 0.0059156318 0.0056339351 0.000868565
[18,] 0.002840442 0.001619756 0.001619756 0.0016197563 0.0011737365 0.000000000
[19,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[20,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[21,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[22,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[23,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[24,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[25,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[26,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[27,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[28,] 0.000000000 0.000000000 0.000000000 0.0000000000 0.0000000000 0.000000000
[,26] [,27] [,28]
[1,] 0.0000000000 0 0
[2,] 0.0000000000 0 0
[3,] 0.0000000000 0 0
[4,] 0.0000000000 0 0
[5,] 0.0000000000 0 0
[6,] 0.0000000000 0 0
[7,] 0.0000000000 0 0
[8,] 0.0011267870 0 0
[9,] 0.0032160379 0 0
[10,] 0.0056808845 0 0
[11,] 0.0059391066 0 0
[12,] 0.0054226625 0 0
[13,] 0.0032160379 0 0
[14,] 0.0032160379 0 0
[15,] 0.0007511913 0 0
[16,] 0.0000000000 0 0
[17,] 0.0000000000 0 0
[18,] 0.0000000000 0 0
[19,] 0.0000000000 0 0
[20,] 0.0000000000 0 0
[21,] 0.0000000000 0 0
[22,] 0.0000000000 0 0
[23,] 0.0000000000 0 0
[24,] 0.0000000000 0 0
[25,] 0.0000000000 0 0
[26,] 0.0000000000 0 0
[27,] 0.0000000000 0 0
[28,] 0.0000000000 0 0
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