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TI（时间信息）和SI（空间信息）计算工具文章列表：

视频特性TI（时间信息）和SI（空间信息）的计算工具：TIandSI

视频特性TI（时间信息）和SI（空间信息）的计算工具：TIandSI-压缩码流版

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做视频评价试验的时候，需要根据一定的条件选择有代表性的视频序列。ITU-R BT.1788建议使用时间信息（TI，Temporal perceptual Information，也可以称时间复杂度）和空间信息（SI，Spatial perceptual Information，也可以称空间复杂度）来衡量视频的特性。

TI，SI概念出处《ITU-R BT.1788 建议书》：http://download.csdn.net/detail/leixiaohua1020/6423425

项目主页

SourceForge：https://sourceforge.net/projects/tiandsi/

Github：https://github.com/leixiaohua1020/TIandSI

开源中国：http://git.oschina.net/leixiaohua1020/TIandSI

TI和SI的概念

SI表征一帧图像的空间细节量。空间上越复杂的场景，SI值越高。

TI表征视频序列的时间变化量。运动程度较高的序列通常会有更高的TI值。

SI计算方法：对第n帧视频进行Sobel滤波，然后对滤波后图像计算标准差。选这些帧中的最大值为SI。

TI计算方法：求n与n-1帧图像的帧差，然后对帧差图像计算标准差。选这些帧中的最大值为TI。

以下截图分别显示Sobel滤波和帧差结果：

Sobel滤波后结果（反映空间信息，即空间上的复杂度）：

帧差的结果（反映时间信息，即时间上的复杂度）：

附带我们实验室自己编写的图形界面的计算SI和TI的工具（程序+源代码，工程是vs2010的）：

TIandSI 1.0: http://download.csdn.net/detail/leixiaohua1020/5546783

更新记录（2014.7.28）==============================================

TISIcmd（TISI计算工具-命令行版）

最初的工具是图形界面的，但是发现图形界面也不是特别方便，直接用命令行进行批处理会更方便些，因此拜托师弟把代码抽取出来做了个控制台程序。师弟也很给力，迅速就搞了出来，在这里上传上来。

可以直接使用的exe：http://download.csdn.net/detail/leixiaohua1020/7686483

源代码（VS2010）：http://download.csdn.net/detail/leixiaohua1020/7686489

使用帮助

-i      输入YUV文件的路径（必填）
-x      输入YUV文件的宽度（必填）
-y      输入YUV文件的高度（必填）
-f      输入YUV文件的像素格式（必填，420或422或444或400）
-h      打开帮助

示例

命令行工具命令示例如下，计算了一个分辨率为1920x1080，像素为格式YUV420P，路径为D:\test.yuv的YUV格式的文件。

tisi -i D:\test.yuv -x 1920 -y 1080 -f 420

界面截图如下：

帮助菜单

运行时截图

运行完毕后会在测试序列相同的目录下生成*.csv的结果文件。

输出的数据可以使用Excel进行统计，如下示例统计了某个视频序列的TI，SI和视频帧序号之间的关系。SI较高的地方，视频帧画面的空间细节比较多（空间复杂度高）。TI较高的地方，视频帧内容运动比较剧烈（时间复杂度高）。

更新记录（2014.8.25）==============================================

TIandSI 2.0（TISI计算工具-图形界面版）

近期一直在研究视频的时间信息（TI）和空间信息（SI）方面的问题。发现老版本计算TISI的图形界面工具不是很方便。于是心血来潮对其进行了大规模的修改。经过一段时间的反复调试，终于将其做成了自己认为方便好用的计算TI和SI的图形界面工具，命名为 TIandSI 2.0。在这里记录上详细的使用方法。

2.0更新记录：

*删除了旧版里的TeeChart，感觉作用不大

*增加了TI和SI计算过程预览窗口，可以查看TI和SI的计算过程。

*增加了计算过程进度条

*支持多种格式的YUV视频输入：YUV420P，YUV422P，YUV444P，Y

*支持批量添加YUV视频

*增加了“结果”对话框，可以直接在程序中查看TI和SI计算结果

*增加了“暂停”，“继续”，“停止”等按钮，可以控制计算的进度

可以直接使用的exe：http://download.csdn.net/detail/leixiaohua1020/7817721

源代码（VS2010）：http://download.csdn.net/detail/leixiaohua1020/7817741

使用帮助

双击“TIandSI.exe”打开程序之后，界面如图所示。分成如下几个部分：

添加视频：添加待处理的YUV视频。包括设置视频的地址，宽，高，像素格式（YUV420P，YUV422P，YUV444P，Y）。

视频列表：列表显示待处理的YUV视频。可以删除和清空其中的条目。

显示：可以图形化显示TI和SI的计算信息，即帧差信息和边缘信息。注意会降低计算的速度。

输出选项：“输出TI”，“输出SI”可以将计算结果保存为.csv的文件。可以使用Excel对这种文件进行处理。“输出帧差信息”，“输出边缘信息”可以将帧差信息和边缘信息保存为YUV文件。

进度条：显示计算的进度。

控制按钮：控制计算的开始，暂停，继续，停止等。并可以查看计算结果。

最简单的使用方法分成3步：

1.在“添加视频”栏（圈1）中设置输入视频的文件路径，宽，高，像素格式（支持YUV420P，YUV422P，YUV444P，Y）。设置完成后，单击“添加”。

2.单击“添加”之后，该视频会出现在“视频列表”中（圈2），作为一个待处理的任务。反复前2步可以将所有待计算的视频添加至“视频列表”中。

3.视频添加完毕后，单击“计算”即可等待结果了。

如图所示，单击添加之后，将一个分辨率为640x360，像素格式为YUV420P的YUV视频加入到了“视频列表”中。

如果感觉一个一个添加视频效率不高，还可以使用“批量添加视频”功能。该功能位于菜单栏的“文件”菜单中。单击“批量添加视频”之后弹出的对话框如下图所示。

单击对话框中的“选择”按钮，弹出“打开文件”对话框，此时按住Shift键就可以选择多个视频了。选择完毕后，每个视频文件的地址会在下面的文本框中列出来。

注：批量添加视频要求1批视频的宽，高，像素格式是一样的。

视频添加完成后，单击“计算”即可开始计算TI和SI。下图是计算过程中的截图。从下图中可以看出，正在计算SI。“显示”框中显示的是当前正在计算的视频帧的边缘信息。显示框的右下方“当前值”处输出了当前帧的计算结果。

下图是计算TI时候的截图。

计算过程中，可以单击“暂停”暂时停止计算过程，再次单击则可以继续计算过程。单击“停止”可以中止计算。单击“结果”可以查看计算的结果数值。下图显示了计算结果对话框，左边显示每帧视频SI值，右边显示每帧视频的TI值。每一行代表一帧视频的SI或者TI。

部分实验数据举例

使用本软件测试了“Video Quality Experts Group (VQEG) HDTV video quality subjective test”中的实验视频，记录结果如下。

原视频可以从CDVL网站下载：http://www.cdvl.org

视频序列参数：

分辨率

1920x1080

像素格式

YUV420P

帧率

25

扫描方式

逐行

帧数

250

视频序列截图：

Src01

Src02

Src04

Src05

Src06

Src09

Src11

Src12

Src14

所有视频序列的SI结果图。横坐标为视频帧数（总共是250帧），纵坐标是SI值。

所有视频序列的TI结果图。横坐标为视频帧数（总共是250帧），纵坐标是TI值。注意TI值出现尖峰说明视频镜头出现了切换。

所有视频序列SI-TI均值散点图。这张图每个视频序列取了一个TI和SI的平均值，比前两张图更加简单明了。例如，从图中可以看出src06时间上和空间上都很复杂。src04则是时间上复杂空间上简单。src05则是时间上简单空间上复杂。src09在时间上和空间上都比较简单。

上图数据如下表所示：

src01

src02

src04

src05

src06

SI

38.5505

78.40265

32.44776

76.53766

72.87351

TI

14.53949

4.552836

23.68147

6.58204

29.40821

src08

src09

src11

src12

src13

src14

SI

42.63796

34.39115

48.50946

81.30184

63.59276

71.72707

TI

8.927161

12.61171

11.03867

7.705533

24.86191

13.18756

附上述前5个视频序列的实验数据（每1行代表1帧，每个视频序列都是250帧）：

SI

src01 src02 src04 src05 src06
34.11227 78.40614 35.14113 76.43104 73.94827
33.92994 78.23272 32.46861 76.57767 73.33723
33.65194 78.1629 31.50552 76.52155 73.62707
33.61915 78.17674 32.27533 76.29674 72.40288
33.7622 78.10899 34.74414 76.41402 72.02622
33.83794 77.99973 37.05953 76.38589 71.05307
34.04739 77.9866 34.35284 76.34818 70.26144
34.19211 77.99291 34.11067 76.47707 69.5202
34.13154 78.06079 34.88097 76.29524 68.83315
33.98185 78.01164 33.67022 76.28047 67.90329
33.78486 77.90832 34.74694 76.2787 68.02058
33.54384 77.8715 32.77511 76.17498 67.7333
33.29879 77.91121 31.21906 76.28723 66.32894
33.22881 78.06065 32.34597 76.35584 66.39851
33.17196 78.05287 34.38228 76.24612 65.67879
33.07335 78.03114 33.05749 76.35513 65.27417
33.19284 77.91381 31.6397 76.27476 64.60571
33.20013 77.95229 30.31739 76.34165 64.21643
33.21595 78.28729 31.50584 75.89256 64.32289
33.10554 78.23237 32.44746 76.30622 64.54266
33.01283 78.18332 33.5611 76.37514 64.41164
33.00296 78.18473 37.2462 76.14949 63.42708
33.02386 78.14613 38.03481 76.26094 62.64613
33.07961 78.1703 35.76167 76.12755 61.62434
33.05342 78.1022 34.60998 76.12599 61.46109
32.95795 77.91192 33.38902 76.20417 60.72308
32.81222 77.4261 31.19013 76.17433 61.07809
32.68448 77.75583 31.54333 75.90363 61.0433
32.52863 78.22574 31.4918 76.18575 61.50458
32.45192 78.19935 33.96083 76.16817 62.1318
32.36937 78.12192 33.2425 76.06998 62.397
32.36734 78.06795 32.22656 76.21124 62.38018
32.28437 78.27023 32.07715 76.04834 62.27901
32.26981 78.19225 31.61969 76.00959 62.18383
32.24176 78.199 32.12807 75.97332 62.16835
32.11469 78.15431 30.08725 75.8787 61.79934
31.94285 77.99904 29.68721 76.02964 61.8797
31.95817 78.10272 30.37195 75.95126 61.66226
32.10475 78.26478 29.99764 75.95086 61.49309
32.1763 78.36211 31.69354 75.77911 61.52024
32.24437 78.20442 31.32526 75.83146 62.17604
32.27145 78.0071 30.95941 75.82568 61.03366
32.35041 78.10513 33.38965 75.89172 60.73991
32.42971 78.07468 29.72827 75.98071 60.11805
32.52966 78.14928 31.1931 75.88583 60.35702
32.59615 77.97361 31.83573 75.9152 60.47296
32.54194 78.00555 33.69223 75.80357 61.31147
32.55136 77.93044 36.09147 75.92856 61.42054
32.48684 78.1556 34.36769 75.8979 60.8736
32.49245 78.49485 31.76907 75.66569 60.83758
32.52282 78.26384 31.88348 75.85355 60.66355
32.59743 78.05058 30.583 75.68778 61.13639
32.7053 77.89243 29.49337 75.64758 60.92598
32.83405 78.11219 28.58027 75.59411 61.26123
32.90588 78.11082 32.67408 75.78262 62.00879
32.93491 77.92604 34.45097 75.73622 61.69653
32.93086 78.03259 31.00666 75.74019 62.01629
32.81053 78.07468 29.41033 75.66123 62.4899
32.8042 78.19719 29.29216 75.54085 63.06491
32.73641 78.1983 30.5694 75.64723 62.34156
32.7306 78.15722 30.72007 75.47392 61.37846
32.64169 78.11609 30.15533 75.74056 61.35453
32.63112 78.2881 28.56019 74.33997 60.6754
32.57962 78.53934 28.74569 75.57714 59.77678
32.6863 78.46059 28.13907 77.63741 59.39601
32.80583 78.38833 28.51431 80.28611 59.45458
32.90373 78.40146 30.13823 81.07578 59.3615
32.9067 78.53365 31.52189 81.32465 59.21203
32.95157 78.61869 32.06326 80.15913 59.41122
33.05206 78.65588 33.7668 82.40826 58.77387
33.1577 78.55126 35.52477 81.45638 58.00494
33.0792 78.41479 36.18539 79.10319 58.33875
33.0628 78.49392 37.84253 79.01991 57.66805
33.05136 78.61106 38.24368 80.98164 57.34889
32.93827 78.58891 34.63765 81.27795 57.58857
32.84147 78.44535 34.25184 81.35755 57.86286
32.71353 78.32726 28.17646 79.88528 57.69532
32.76181 78.38892 27.01596 81.53223 57.40554
32.92054 78.51122 26.57733 81.54864 57.732
33.09937 78.69056 24.76824 80.53263 57.41301
33.13493 78.59286 27.4111 82.14195 57.0246
33.16457 78.53188 27.13922 80.27877 56.67243
33.21978 78.59166 27.54736 82.59267 56.59151
33.23723 78.73644 25.67457 82.7149 56.75134
33.28236 78.76659 24.79162 82.99586 56.15351
33.27354 78.64391 24.05126 81.46777 56.07602
33.32042 78.50205 22.4447 81.46771 55.55466
33.45312 78.52764 20.73955 81.64381 55.95591
33.60679 78.66727 19.79536 82.12398 55.33223
33.79289 78.64294 18.95607 82.5174 55.30575
33.83416 78.56324 18.69041 81.31218 55.83503
33.87961 78.43662 18.06603 82.13482 55.3565
33.87981 78.42304 16.95048 82.07009 55.73983
33.9248 78.58395 17.6092 80.57227 55.92213
33.97646 78.52959 18.85584 81.40002 56.27867
33.97837 78.53481 18.76593 80.76492 56.68041
34.09871 78.46863 18.99985 80.98699 57.51941
33.19675 78.54839 20.93484 81.28819 57.22927
28.02882 78.69891 21.7012 78.45576 57.84494
26.71881 78.64477 22.43796 81.86501 58.03946
29.27887 78.49986 23.30252 81.26701 57.93372
27.36868 78.38228 24.55473 79.91592 58.11812
32.97354 78.40859 26.9625 81.07868 58.61546
32.8697 78.56362 57.24598 80.06958 58.4774
40.02761 78.46208 61.10412 81.71261 58.1761
45.10398 78.41947 47.6245 81.9259 58.23209
47.70966 78.39263 55.50975 80.47041 58.41763
47.58446 78.46161 55.47406 80.70767 58.60352
47.44399 78.67809 37.79094 80.45638 58.73192
47.25972 78.73662 31.16104 81.49274 58.64983
47.12169 78.68252 22.95823 80.79547 58.87345
47.11864 78.52524 20.72598 79.69849 59.24035
46.95243 78.54256 18.92349 81.089 59.4725
46.78839 78.68113 18.37704 83.0485 59.2882
46.6989 78.63823 17.61378 81.87818 59.66192
46.59333 78.55503 16.824 81.34055 60.44662
46.62379 78.50508 16.9621 83.06819 60.51831
46.53817 78.56458 16.99578 81.82253 59.89743
46.42358 78.69684 16.7539 83.35202 60.22924
46.10175 78.61495 20.58205 80.50521 60.69243
45.71343 78.42557 24.34619 81.6974 61.19256
45.37861 78.25241 30.17377 82.66837 61.65853
45.20905 78.26351 32.24688 80.26473 61.90474
44.9646 78.39716 27.12903 81.51715 62.03537
44.57407 78.48722 25.51579 82.79308 62.35686
44.20646 78.47772 25.61844 81.29697 62.49506
43.69932 78.36662 27.02566 83.23267 63.33324
43.26716 78.36443 31.08224 83.10372 63.69831
43.05801 78.44347 34.83238 83.10535 64.62511
42.69545 78.40757 28.77628 81.2689 65.31538
42.32701 78.34206 29.38691 82.77293 65.74686
42.10226 78.28522 27.99674 83.16985 66.33594
41.6261 78.32387 23.60907 80.03101 67.10436
41.11799 78.49503 22.34715 82.70216 67.59184
40.39969 78.52351 23.19049 81.02309 68.01438
39.8863 78.45691 27.64054 81.87075 68.91389
39.57895 78.36786 29.76631 82.95926 69.8435
38.87928 78.46051 30.68437 83.14527 69.87668
37.68755 78.63091 30.17853 81.06912 70.59979
34.99471 78.63075 28.94609 80.58212 70.51547
33.15607 78.60877 34.97078 83.31233 71.06442
32.55887 78.4947 36.07235 82.96365 71.52818
33.65991 78.6245 35.73282 82.83882 71.95561
35.0243 78.78889 32.50937 81.19566 72.44395
36.83454 78.83679 33.52406 82.08138 73.06842
38.54427 78.72632 32.84524 82.66727 74.63975
38.64687 78.58923 27.12408 80.6926 74.76155
38.93083 78.60718 29.06556 81.15141 75.11339
41.95027 78.73454 27.03685 83.3756 75.32791
42.51961 78.76911 25.89408 82.45209 75.61756
42.82058 78.50589 28.50118 81.01213 75.12265
42.98638 78.30922 34.01706 82.02821 75.43879
43.28146 78.31307 30.84781 82.64554 75.78056
43.6462 78.3804 30.35048 84.14512 75.4336
43.95722 78.3559 32.55693 82.87354 75.98047
44.10786 78.15913 32.11484 82.07567 76.41786
44.10365 78.08405 33.65102 80.24197 76.86536
44.09714 78.14391 31.03092 82.89051 77.55612
43.86998 78.31292 28.47085 81.87251 78.8047
43.70614 78.39563 25.05364 80.3652 79.60557
43.58878 78.2433 26.73274 81.4054 80.54318
43.4973 78.18334 29.36751 80.34871 82.09525
43.42374 78.22961 29.09837 80.6931 82.99397
43.56619 78.44045 33.12672 81.12276 83.83356
43.56398 78.42704 34.5912 81.24783 85.59553
43.61348 78.36924 27.82196 79.51898 86.23692
43.67233 78.38029 28.47833 82.45576 87.23966
43.75085 78.4716 28.11817 81.28442 87.56101
43.76688 78.54749 27.30945 80.94734 88.28336
43.792 78.4737 33.36139 81.7415 88.71535
43.81921 78.34133 31.63919 76.45563 89.75965
43.89098 78.23366 34.60786 68.15614 90.58617
43.98184 78.30178 26.39243 56.80912 90.72006
44.07505 78.48584 26.24051 50.54827 90.40402
44.23167 78.45241 26.92233 47.13988 90.57914
44.3838 78.30545 26.59362 49.62349 90.41423
44.5063 78.26623 28.55606 56.1092 91.14282
44.62618 78.39592 30.11525 65.24243 92.0814
44.60201 78.58225 33.6766 71.56178 92.56174
44.442 78.63898 33.98554 71.5537 92.27004
44.29607 78.49344 32.35635 71.56033 92.71992
44.21552 78.35735 34.518 71.56284 93.74671
43.91477 78.3586 34.86731 71.56157 94.27087
40.00321 78.46893 32.8512 71.4728 95.02236
31.81156 78.44199 30.02979 71.56988 95.25915
25.8732 78.35077 28.64832 71.55602 96.17671
22.02207 78.35256 29.50496 71.57383 96.98534
19.26056 78.40635 31.42942 71.53079 97.90682
18.02435 78.59234 32.35577 71.59667 98.42737
18.46469 78.60047 34.60179 71.59451 98.02219
16.43809 78.53535 35.70697 71.59808 97.98795
15.28549 78.43672 36.15747 71.62669 98.10843
15.60751 78.45487 35.59147 71.63047 98.90553
15.48749 78.64029 36.73481 71.58865 98.5175
15.24298 78.67478 38.05702 71.54421 98.19717
15.54929 78.5703 38.01505 71.55292 97.94367
15.63556 78.51176 36.81028 71.61045 97.69254
16.93003 78.66428 33.95501 71.6135 97.14695
20.11533 78.79491 30.87034 71.53191 96.37047
27.38947 78.74038 33.30959 71.57177 94.9446
42.55399 78.72373 34.33661 71.61997 94.70754
52.93893 78.60116 35.5588 71.58454 95.58334
52.95299 78.57579 37.49406 71.63033 96.12968
52.93955 78.728 38.84643 71.59394 95.50817
52.94624 78.75779 38.08481 71.61703 94.87956
52.9558 78.81213 38.48192 71.62013 95.47892
52.96989 78.78933 40.38982 71.64245 94.62189
52.98266 78.83292 40.48685 71.64551 93.72396
52.98901 78.88919 36.23135 71.6491 93.35141
52.99904 78.83013 36.26705 71.64662 93.18731
53.00396 78.66462 36.27551 71.69841 92.79768
52.97312 78.49258 36.96511 71.6736 92.99712
53.00528 78.59309 36.70491 71.6742 93.09188
53.05299 78.76315 36.67922 71.62758 92.84032
53.08595 78.77218 37.91674 71.6553 91.99008
53.10569 78.63183 39.12885 71.60502 92.82492
53.11873 78.49545 35.83159 71.57069 92.66303
53.11622 78.51465 35.64143 71.63725 92.11729
53.11693 78.6426 35.43599 71.55219 92.48013
53.09266 78.68823 37.20842 71.56784 92.68993
53.09273 78.60648 39.707 71.52462 92.80566
53.11144 78.54989 40.36972 71.56809 92.25719
53.12492 78.60137 39.57468 71.59274 92.60694
53.14125 78.73244 37.65987 71.61644 92.15069
52.94426 78.70619 38.94581 71.56572 91.18188
52.26328 78.59056 40.06652 71.51733 90.90163
51.52874 78.52846 40.30486 71.57539 90.25485
50.96685 78.59264 42.85994 71.55312 88.91937
50.38583 78.7757 42.6783 71.55368 88.47917
49.85191 78.79872 43.51489 71.53254 88.51506
49.40686 78.54279 44.50343 71.5272 87.26296
48.97932 78.35553 42.80919 71.61302 85.685
48.45708 78.25446 44.96063 71.61152 84.36877
47.86446 78.36434 46.51823 71.63519 83.23194
47.43541 78.42562 45.35247 71.6418 82.21005
47.1065 78.31783 45.51167 71.64313 82.15845
46.83478 78.29112 44.89963 71.60667 81.1682
46.5132 78.2909 45.89646 71.6151 80.13172
46.03481 78.39895 48.25777 71.60671 79.53881
45.5615 78.49345 46.55856 71.6096 78.71452
45.1687 78.32108 46.66487 71.59156 78.20851
44.64364 78.18878 45.58506 71.55648 78.8624
44.12541 78.28613 44.84831 71.58369 78.87385
43.69613 78.34997 44.52232 71.59129 78.11804
43.03255 78.3243 44.29154 71.58604 77.68216
42.56189 78.26072 45.18401 71.57302 77.90449
42.27986 78.23785 47.30003 71.58276 77.86076
41.80077 78.2888 42.58584 71.60753 77.57997
41.23724 78.43852 43.20559 71.57053 77.76545
40.89035 78.46751 49.40918 71.58868 76.32693

TI

src01 src02 src04 src05 src06
16.4346 4.854876 23.67565 4.853036 30.07895
16.336 4.852765 23.85904 4.184067 30.46464
16.2876 4.860908 23.94492 4.696161 30.42508
16.25301 4.952977 24.10775 6.410902 29.75141
16.25793 4.742767 24.11188 4.160068 29.71385
16.18544 4.821981 24.69387 4.721159 29.47401
16.16217 4.781013 25.18017 4.548656 29.93687
16.09365 4.813073 25.05393 5.139695 29.54725
16.02452 4.762067 24.89463 5.328558 30.08106
16.01555 4.83356 24.79251 4.072394 29.5964
16.02729 4.565938 25.04163 5.352254 28.70301
16.03693 4.840607 25.14869 4.413699 29.05461
16.01169 4.604475 25.01037 4.508003 29.38734
15.99107 4.605731 24.37147 5.615321 28.98725
16.03212 4.369024 23.50415 3.984185 29.09729
16.13198 4.681246 23.40761 4.163081 28.5931
16.16231 4.552174 23.05094 4.64704 28.73829
16.14231 4.608134 24.14053 5.293671 28.65966
16.07628 4.568195 24.53619 6.766617 28.6924
16.04752 4.287101 24.11617 4.479671 28.61699
16.05922 4.487365 23.76856 4.64454 28.78117
16.16985 4.254987 22.85081 6.352566 28.56161
16.18335 4.647492 23.3715 4.968929 28.46624
16.22783 4.841856 23.88872 4.648597 28.48849
16.24669 5.328704 23.78434 5.720457 28.27702
16.27143 5.300278 24.20948 4.637146 28.63454
16.3447 4.683675 24.46646 4.330137 28.36114
16.59715 5.573736 24.14022 4.849813 27.69356
16.66385 4.530762 23.97219 4.198858 27.63517
17.05659 4.57051 24.01006 4.944315 27.38733
16.98272 4.415952 24.64534 4.16673 27.86837
16.96191 4.835955 25.30059 3.969127 28.79441
16.87775 4.604583 24.92475 6.192251 28.85178
16.9628 4.152794 25.12265 5.368617 28.49077
17.30263 4.69043 25.18206 4.53744 27.81821
17.4104 4.369136 24.77978 4.816576 28.06695
17.35473 4.713391 24.79342 4.658045 27.58472
17.29545 4.938141 24.47029 4.372404 27.95026
17.19346 4.315003 24.39778 4.054456 28.12618
17.22895 4.81462 24.21569 5.383167 27.54554
17.36705 4.50232 23.20367 6.748743 27.45264
17.39905 4.918614 22.34826 4.662574 27.62023
17.4387 4.761128 22.75337 4.513362 27.39139
17.47882 4.676101 22.69776 5.176101 27.43809
17.93012 5.363595 22.60884 4.733319 27.63186
17.80018 4.52473 22.17103 4.747142 26.79935
17.44131 5.346806 21.66439 5.925611 26.42574
17.64656 4.485108 21.38372 4.345754 26.53981
17.72645 5.243551 21.61374 7.579416 26.9577
17.75785 4.800678 21.97741 4.340247 26.58522
17.53731 4.34403 21.7122 6.019715 25.98882
17.53977 4.260069 21.66178 4.342404 27.02807
17.71862 4.38455 21.65414 4.546299 26.65156
17.92692 4.845586 21.95718 7.288264 26.08857
18.20836 4.394526 21.30739 4.134035 26.6178
18.59367 4.4808 21.80687 4.971248 27.54239
19.10351 4.552731 21.77308 3.956753 27.43016
19.18906 4.369278 21.74755 7.503269 27.60597
19.21486 4.263676 21.59694 5.485175 27.16126
20.01762 4.193155 21.49428 4.884045 27.58105
19.9575 4.224722 21.31632 5.80624 28.18
20.40553 4.323102 21.6404 6.702751 27.25401
20.43204 4.374086 22.09635 9.097949 27.49447
20.51125 4.415724 22.68922 65.4071 27.78208
20.75653 4.393436 22.93476 12.87009 27.62406
21.11625 4.431479 22.50741 12.42817 27.02062
21.09602 4.494583 22.5597 8.431763 27.37605
21.26156 4.268094 22.69144 9.088765 27.24031
21.6615 4.336943 22.79401 10.48747 26.80979
21.77773 4.428227 23.1973 6.674089 27.26531
21.80238 4.554108 22.96198 13.21527 26.77478
21.92452 4.649675 22.11164 7.075576 26.28783
21.66635 4.414924 21.61687 8.234591 26.79627
21.72047 4.399043 21.69443 10.17034 27.03463
21.70957 4.742225 21.99197 8.546275 26.51605
21.51864 4.503491 21.64782 9.851012 26.35011
21.32303 4.379184 21.62005 10.05544 27.38558
21.34691 4.352705 21.46112 9.987005 26.92548
21.3646 4.848015 21.64374 11.45271 25.72274
21.16789 4.476853 21.31479 8.397369 26.31074
21.30883 4.319756 20.85485 9.943368 26.71483
21.11623 4.723447 20.99575 9.331749 26.85497
20.8706 4.475708 20.88233 7.057144 26.3739
20.87045 4.493284 21.65783 6.991496 26.69188
20.66464 4.572901 21.73454 6.435292 26.48829
20.64722 4.565903 22.22885 12.03789 26.42303
20.71977 4.565456 21.78469 9.38295 26.44793
20.40559 4.61032 22.42151 6.690069 26.0533
20.2455 4.718253 23.01014 5.207335 26.26662
20.304 4.579127 22.97573 7.41721 25.91592
20.17954 4.576792 23.12314 6.125813 25.66662
20.28407 4.550788 23.75682 7.425339 25.9894
20.45156 4.667014 23.88992 9.449672 26.30839
20.21265 4.710568 23.52956 7.398733 26.30013
19.8446 4.982671 23.53707 7.531616 26.54513
19.66305 4.653668 24.08424 8.141555 26.50515
23.79792 4.741257 24.14851 8.909857 26.72431
25.13356 4.783992 23.48478 7.291225 27.303
24.55328 4.856102 23.55417 7.644104 27.33959
24.32558 4.991766 23.27944 6.644868 27.53164
29.58938 4.943444 22.82335 10.60907 27.55202
23.29125 5.287991 23.33833 7.829834 27.17455
28.32635 5.027031 21.00052 8.677301 26.45384
15.4549 5.242239 13.68637 8.742964 26.97066
17.65481 4.978864 13.78108 9.135463 26.90805
4.481323 5.039562 21.2938 9.219617 26.62468
4.118829 4.985883 14.85858 6.731551 26.57904
4.664699 4.863561 21.13627 10.82697 26.11707
5.20604 4.942122 20.38013 7.632466 25.49164
5.715464 5.061142 22.83661 9.104146 25.5908
6.228725 5.030741 24.83576 9.478375 25.8692
6.721927 4.74884 24.95931 8.340575 25.68054
7.187705 4.953345 25.64209 6.983927 26.40285
7.627119 4.768245 25.25382 5.77029 26.28196
8.072762 4.731955 25.69121 6.827226 25.41773
8.481621 4.650815 25.30639 6.07994 24.81029
8.886425 4.68601 25.04136 4.892207 25.82988
9.279737 4.464976 25.15118 6.606722 26.37222
9.575562 4.643841 24.59327 5.93134 26.04948
9.838899 4.566737 23.50798 10.42296 26.00454
10.15495 4.761097 22.91123 13.51242 25.65523
10.44121 4.485296 22.5457 6.927536 26.31289
10.81367 4.642929 23.04364 8.132379 26.40174
11.04895 4.496974 23.47012 6.822241 26.206
11.24889 4.442561 22.81573 7.899156 26.06462
11.477 4.361214 22.44118 9.072417 26.62971
11.89865 4.396119 22.67306 6.254782 26.93236
12.10128 4.46479 21.72146 6.183346 26.71716
12.36337 4.453112 21.81413 5.705389 26.67911
12.58741 4.457632 20.99464 4.639081 26.78752
12.7334 4.384196 20.53902 6.464703 27.06321
13.01276 4.364563 20.59979 6.914073 26.94174
13.17708 4.445801 20.92888 11.34452 26.24872
13.16756 4.618381 20.17147 8.242126 26.74778
13.67621 4.746426 20.6924 5.226142 27.11583
13.63114 4.683844 20.53772 6.281343 27.44383
15.40014 4.60167 21.14009 7.930066 27.24474
16.88077 4.544683 20.94184 11.23918 27.32852
17.99524 4.592624 22.01706 6.714017 27.23352
18.04453 4.64677 21.69623 7.009475 27.41963
20.15 4.687928 22.38328 10.70967 26.84319
20.78328 4.620436 22.44881 8.362748 26.49001
21.77159 4.539649 22.40009 6.642507 27.42146
15.56722 4.443669 23.11797 8.32567 28.0096
19.84616 4.370474 22.50944 5.700203 27.57788
8.752761 4.379535 22.73409 6.94594 27.47132
15.04248 4.488087 21.87113 12.55607 27.71815
7.72593 4.548433 21.90194 11.27596 27.80103
6.445845 4.5338 22.1122 6.148008 27.5156
5.371794 4.516177 22.10529 11.01205 27.81013
4.684762 4.51715 22.04495 6.490439 28.16133
4.170812 4.589955 22.2553 12.38515 28.32453
3.682924 4.707508 22.41919 6.504932 28.5513
2.968564 4.71129 22.09605 8.542091 28.7926
1.765127 4.591843 21.52344 6.909482 29.38065
2.03775 4.478614 21.04661 9.530502 29.09402
2.316633 4.398054 21.66835 6.735512 28.53684
2.639746 4.457204 22.0369 6.042439 27.77068
2.982546 4.470849 22.39411 6.965409 27.52788
3.398257 4.373038 22.32321 6.798694 28.5575
3.826196 4.394468 21.83298 8.986322 28.71434
4.228157 4.343588 21.92483 14.72625 28.38603
4.571213 4.34018 21.8612 8.029881 29.67196
4.797178 4.365769 21.04423 10.50954 30.4321
4.826605 4.371399 21.58224 10.36184 29.75423
4.76484 4.343413 22.22483 9.866554 29.76173
4.681707 4.436597 22.07774 10.25522 30.05064
4.488346 4.425158 22.23887 15.35579 29.96246
4.180099 4.416647 21.55593 12.48051 30.59658
3.865416 4.3864 21.26381 13.88176 30.88697
3.505896 4.333956 21.41456 17.94745 30.44748
3.114223 4.276679 22.61502 16.58138 30.43087
2.713944 4.361495 23.23407 14.42617 31.14401
2.267749 4.406975 23.38508 14.72463 30.92817
1.819756 4.416688 23.45661 12.59634 31.12029
1.361772 4.369437 23.68063 11.83083 31.4762
1.002546 4.311464 23.49648 11.15881 31.86318
0.799991 4.314465 24.2507 8.046105 31.38868
1.323714 4.231457 24.59213 3.284451 31.60847
1.814443 4.091058 24.8214 3.236255 32.51636
2.115942 4.06501 24.48395 3.28644 32.3448
2.301696 4.080801 23.7701 3.5572 32.34275
4.516263 4.061301 24.50372 3.923043 32.46376
17.26166 4.062726 24.87166 3.8411 32.74006
21.70595 4.074844 25.63952 3.400129 32.86733
24.11887 4.086311 25.24811 3.378674 33.14595
25.11463 4.110612 25.39376 3.466917 33.1549
25.76827 4.143156 26.41948 3.382468 33.41369
26.72531 4.160414 26.52504 3.416674 33.07687
26.69017 4.099909 26.72166 3.392272 33.5225
25.95715 4.104258 26.78475 3.447652 33.54232
25.68533 4.11562 26.60247 3.380615 34.07403
29.87003 4.199548 26.44929 3.278543 33.672
30.76526 4.331681 25.96068 3.277901 33.59352
31.90675 4.439098 25.54199 3.305586 33.44948
32.3806 4.49177 25.6462 3.286813 34.40065
32.85431 4.478189 25.45307 3.268205 34.76349
31.95616 4.407237 24.71902 3.239109 34.20869
30.48603 4.41111 24.58105 3.295889 35.02668
25.60044 4.32193 24.58599 3.269244 34.98357
6.535758 4.250861 24.75396 3.179375 34.10815
1.884214 4.254025 25.4437 3.188052 33.75036
1.671804 4.294128 25.65033 3.232554 35.08093
1.692681 4.412866 24.85671 3.255627 35.63465
1.731734 4.322162 25.27688 3.372434 34.97998
2.085696 4.216899 24.45842 3.569352 34.09039
2.217047 4.312366 24.71326 3.203885 34.06093
2.535404 4.407898 25.32031 3.285922 34.06545
2.290888 4.488315 25.32062 3.180617 33.63551
2.168349 4.615558 25.18408 3.212589 34.70276
2.784539 4.699256 24.88783 3.218778 35.00507
3.319404 4.64131 25.53151 3.188667 34.36319
3.785362 4.673314 25.64061 3.263385 34.73316
4.121521 4.714151 25.16702 3.416986 35.28743
4.044935 4.699172 25.41594 3.351536 35.4067
3.991714 4.738387 24.72207 3.319391 34.32404
4.17099 4.727733 24.84289 3.621615 34.87834
4.228313 4.785574 24.98452 3.952769 35.01844
4.646462 4.774986 23.63329 3.477599 33.79607
4.552958 4.718985 23.84015 3.204277 33.82023
4.642774 4.690155 23.60577 3.190286 34.66378
4.622911 4.589245 25.04671 3.249341 34.5394
4.411876 4.609657 25.16472 3.22785 34.25446
3.907443 4.598738 25.05277 3.310182 33.3994
4.835081 4.546607 26.00718 3.606764 33.31361
8.477765 4.503249 26.6242 3.344867 33.17148
11.68589 4.433472 26.48729 3.125118 34.19465
14.01993 4.37978 26.79613 3.421496 33.47849
15.66884 4.401134 27.54741 3.384796 33.19098
16.69291 4.441397 27.78967 3.641615 33.26058
17.44133 4.482541 27.67475 3.655224 34.01688
18.32611 4.519941 27.0695 3.12735 33.27992
19.1933 4.61387 27.09885 3.349954 32.77832
19.68338 4.71379 28.07422 3.134036 34.0328
20.06189 4.700534 29.29829 3.106524 33.91761
20.42477 4.560066 29.01747 3.169282 33.55602
20.79962 4.504657 29.6342 3.454893 33.53429
21.0972 4.594101 29.67451 3.142861 32.6224
21.34337 4.529839 29.5088 3.366739 32.88681
21.83097 4.486513 29.41759 3.403159 32.41238
22.20684 4.420943 29.49554 3.348938 32.6373
22.37608 4.373166 29.29628 3.163758 32.20461
22.51133 4.370707 29.30993 3.358588 31.89321
22.81944 4.407429 28.81804 3.381771 34.12598
22.97947 4.422386 28.20746 3.403949 34.15139
22.76203 4.376009 27.43574 3.671099 33.49997
22.99609 4.334874 27.29036 3.177278 33.62099
23.29 4.301733 27.973 3.875804 33.24766
23.41146 4.298758 28.46952 4.024596 33.26263

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