representation learning from graphs: algorithms and ... · b. perozzi, r. al-rfou, and s. skiena....

Post on 05-Oct-2020

0 Views

Category:

Documents

0 Downloads

Preview:

Click to see full reader

TRANSCRIPT

Representation Learning from Graphs: Algorithms and Applications

Xiangliang Zhang

King Abdullah University of Science and Technology

Network Embedding

2

Create features by transforming the graph into a lower dimensional latent representation.

● Node Classification● Link Prediction● Community Detection● Visualization ● etc

Visual Example

3

On Zachary’s Karate Graph:

What has been done

4

Before 2014

A M

Too expensive

What has been done

5

Before 2014

A M

After 2014Inspired by Word2Vec’13

DeepWalk’14

node word ? sentence

What has been done

6

Before 2014

A M

After 2014Inspired by Word2Vec’13

DeepWalk’14

node wordsentence

Random Walk Sequence

What has been done

7

Before 2014

A M

After 2014Inspired by Word2Vec’13

DeepWalk’14

LINE’15 GraRep’15

Node2vec’16 HOPE’16 SDNE’16

Walklets’17 PEUNE’17

AttentionWalk’18 VERSE’18

Splitter’19, etc

Inspired by CNN

Graph Neural NetworkBruna, Zaremba, Szlam, LeCun, ICLR 2014

GCN: Thomas Kipf, Max Welling. ICLR 2017

What has been done

8

Before 2014

A M

After 2014Inspired by Word2Vec’13

DeepWalk’14

LINE’15 GraRep’15

Node2vec’16 HOPE’16 SDNE’16

Walklets’17 PEUNE’17

AttentionWalk’18 VERSE’18

Splitter’19, etc

Inspired by CNN

GCN’17GraphSAGE’17

GATs’18FastGCN’18LGCN’18etx

GWNN’19APPNP’19SimplyingGCN’19etc

What has been done by us

9

Algorithms Applications

• Network Co-embedding [1]• Walking with

Reinforcement [2,3]• Node to a mixture of

distribution [4]• Heterogenous graph

embedding [5]

• User Profiling [1,6]• Paper Recommendation

[7]• Dataset Recommendation

[8,9]• Graph Alignment [10,11]

[1] Meng et al, WSDM’19[2] Akujuobi et al. ICDM’19[3] Akujuobi et al. WSDM’20[4] Chen et al. WWW J’19[5] Chen et al. IJCAI’19

[6] Liang et al, KDD’18[7] Zhang et al. IJCAI’18 [8] Altaf et al. ICDM’19[9] Chen et al. ICDM’19[10] Pei et al. WWW’19[11] Pei et al. IJCAI’19

Outline

• Introduction of Network Embedding

• Co-embedding of Attributed Network for User Profiling

• Walking with Reinforcement for Semi-supervised

Embedding learning from Attributed Network

• Applications on Recommendation

• Future work Discussion

�4 �2 0 2 4 6

�4

�2

0

2

4

6

Michael I. Jordan

Robert Endre Tarjan

NIPS

SIGKDD

STOC

AAAI

SODA

WSDM

FOCS

SIGIR

WWWICML

ICALP

Problem: Attributed Network Co-Embedding

Goal: map nodes and features in the same space

Input: A + XAttributed Network

Output: Node andfeature embedding

�4 �2 0 2 4 6

�4

�2

0

2

4

6

Michael I. Jordan

Robert Endre Tarjan

NIPS

SIGKDD

STOC

AAAI

SODA

WSDM

FOCS

SIGIR

WWWICML

ICALP

Problem: Attributed Network Co-Embedding

Our Co-embedding Model• Represent both node and feature in the same space

à to quantitatively measure their relationship

• Represent node/attribute by a Gaussian distribution, not a single point

• à to capture the uncertaintyOutput: • Node representation• Attribute representation

Co-Embedding Model for Attributed Network

The proposed model based on VAE

Inference model Generative model Reconstructed graphG

<latexit sha1_base64="VbTxAdXl2v/9xivrUdeP0nfZnLU=">AAAB8nicbVBNS8NAEJ34WavVqkcvwSJ4KokIeix40GMF+wFpKJvtpl262Q27E6GE/gwvHhTx6q/x5s2f4qbtQVsfDDzem2HeTJQKbtDzvpy19Y3Nre3STnl3r7J/UD08ahuVacpaVAmluxExTHDJWshRsG6qGUkiwTrR+KbwO49MG67kA05SFiZkKHnMKUErBb2E4IgSkd9O+9WaV/dmcFeJvyC1BgSVbwBo9qufvYGiWcIkUkGMCXwvxTAnGjkVbFruZYalhI7JkAWWSpIwE+azyFP3zCoDN1balkR3pv6eyElizCSJbGcR0Sx7hfifF2QYX4c5l2mGTNL5ojgTLiq3uN8dcM0oioklhGpus7p0RDShaL9Utk/wl09eJe2Luu/V/Xu/1riEOUpwAqdwDj5cQQPuoAktoKDgCV7g1UHn2Xlz3ueta85i5hj+wPn4AYTnktQ=</latexit><latexit sha1_base64="lPOfMphvuccyAWwpjK/5gb8Ou5s=">AAAB8nicbVBNSwMxEJ2tX7VarXr0EiyCp7orgh4LHvRYwX7Adi3ZNNuGZpMlyQpl6c/w4kERr/4aL+q/Mdv2oK0PBh7vzTBvJkw408Z1v53Cyura+kZxs7S1Xd7Zreztt7RMFaFNIrlUnRBrypmgTcMMp51EURyHnLbD0VXutx+o0kyKOzNOaBDjgWARI9hYye/G2AwJ5tn1pFepujV3CrRMvDmp1sEvf51+3jd6lY9uX5I0psIQjrX2PTcxQYaVYYTTSambappgMsID6lsqcEx1kE0jT9CxVfooksqWMGiq/p7IcKz1OA5tZx5RL3q5+J/npya6DDImktRQQWaLopQjI1F+P+ozRYnhY0swUcxmRWSIFSbGfqlkn+AtnrxMWmc1z615t161fg4zFOEQjuAEPLiAOtxAA5pAQMIjPMOLY5wn59V5m7UWnPnMAfyB8/4DVa6UMA==</latexit><latexit sha1_base64="lPOfMphvuccyAWwpjK/5gb8Ou5s=">AAAB8nicbVBNSwMxEJ2tX7VarXr0EiyCp7orgh4LHvRYwX7Adi3ZNNuGZpMlyQpl6c/w4kERr/4aL+q/Mdv2oK0PBh7vzTBvJkw408Z1v53Cyura+kZxs7S1Xd7Zreztt7RMFaFNIrlUnRBrypmgTcMMp51EURyHnLbD0VXutx+o0kyKOzNOaBDjgWARI9hYye/G2AwJ5tn1pFepujV3CrRMvDmp1sEvf51+3jd6lY9uX5I0psIQjrX2PTcxQYaVYYTTSambappgMsID6lsqcEx1kE0jT9CxVfooksqWMGiq/p7IcKz1OA5tZx5RL3q5+J/npya6DDImktRQQWaLopQjI1F+P+ozRYnhY0swUcxmRWSIFSbGfqlkn+AtnrxMWmc1z615t161fg4zFOEQjuAEPLiAOtxAA5pAQMIjPMOLY5wn59V5m7UWnPnMAfyB8/4DVa6UMA==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="xVP3FxlER4Hq4rYwcYuDMW252xw=">AAAB53icbVBNSwMxFHxbv2qtWr16CRbBU9n1okfBgx4r2A/YLiWbZtvQbLIkb4Wy9Gd48aCI/8ib/8Zs24O2DgSGmffIvIkzKSz6/rdX2dre2d2r7tcO6odHx42Tetfq3DDeYVpq04+p5VIo3kGBkvczw2kaS96Lp3el33vmxgqtnnCW8SilYyUSwSg6KRykFCeMyuJ+Pmw0/Za/ANkkwYo0YYX2sPE1GGmWp1whk9TaMPAzjApqUDDJ57VBbnlG2ZSOeeiooim3UbGIPCcXThmRRBv3FJKF+nujoKm1szR2k2VEu+6V4n9emGNyExVCZTlyxZYfJbkkqEl5PxkJwxnKmSOUGeGyEjahhjJ0LdVcCcH6yZuke9UK/Fbw6EMVzuAcLiGAa7iFB2hDBxhoeIE3ePfQe/U+lnVVvFVvp/AH3ucPNmeQAA==</latexit><latexit sha1_base64="xVP3FxlER4Hq4rYwcYuDMW252xw=">AAAB53icbVBNSwMxFHxbv2qtWr16CRbBU9n1okfBgx4r2A/YLiWbZtvQbLIkb4Wy9Gd48aCI/8ib/8Zs24O2DgSGmffIvIkzKSz6/rdX2dre2d2r7tcO6odHx42Tetfq3DDeYVpq04+p5VIo3kGBkvczw2kaS96Lp3el33vmxgqtnnCW8SilYyUSwSg6KRykFCeMyuJ+Pmw0/Za/ANkkwYo0YYX2sPE1GGmWp1whk9TaMPAzjApqUDDJ57VBbnlG2ZSOeeiooim3UbGIPCcXThmRRBv3FJKF+nujoKm1szR2k2VEu+6V4n9emGNyExVCZTlyxZYfJbkkqEl5PxkJwxnKmSOUGeGyEjahhjJ0LdVcCcH6yZuke9UK/Fbw6EMVzuAcLiGAa7iFB2hDBxhoeIE3ePfQe/U+lnVVvFVvp/AH3ucPNmeQAA==</latexit><latexit sha1_base64="pmqpF9GEcU9i2JOEgviTaEDi57c=">AAAB8nicbVBNS8NAFHypX7V+VT16CRbBU0lE0GPBgx4r2FpIQ9lsN+3SzW7YfRFK6M/w4kERr/4ab/4bN20O2jqwMMy8x86bKBXcoOd9O5W19Y3Nrep2bWd3b/+gfnjUNSrTlHWoEkr3ImKY4JJ1kKNgvVQzkkSCPUaTm8J/fGLacCUfcJqyMCEjyWNOCVop6CcEx5SI/HY2qDe8pjeHu0r8kjSgRHtQ/+oPFc0SJpEKYkzgeymGOdHIqWCzWj8zLCV0QkYssFSShJkwn0eeuWdWGbqx0vZJdOfq742cJMZMk8hOFhHNsleI/3lBhvF1mHOZZsgkXXwUZ8JF5Rb3u0OuGUUxtYRQzW1Wl46JJhRtSzVbgr988irpXjR9r+nfe43WZVlHFU7gFM7BhytowR20oQMUFDzDK7w56Lw4787HYrTilDvH8AfO5w9z9pFL</latexit><latexit sha1_base64="kvNeWJeb+vby+b5mjJZuCNItyxE=">AAAB8nicbVBNS8NAFHypX7V+VT16CRbBU0lE0GPBgx4r2FpIQ9lsN+3SzW7YfRFK6M/w4kERr/4ab/4bN20O2jqwMMy8x86bKBXcoOd9O5W19Y3Nrep2bWd3b/+gfnjUNSrTlHWoEkr3ImKY4JJ1kKNgvVQzkkSCPUaTm8J/fGLacCUfcJqyMCEjyWNOCVop6CcEx5SI/HY2qDe8pjeHu0r8kjSgRHtQ/+oPFc0SJpEKYkzgeymGOdHIqWCzWj8zLCV0QkYssFSShJkwn0eeuWdWGbqx0vZJdOfq742cJMZMk8hOFhHNsleI/3lBhvF1mHOZZsgkXXwUZ8JF5Rb3u0OuGUUxtYRQzW1Wl46JJhRtSzVbgr988irpXjR9r+nf+43WZVlHFU7gFM7BhytowR20oQMUFDzDK7w56Lw4787HYrTilDvH8AfO5w90RpFM</latexit><latexit sha1_base64="lPOfMphvuccyAWwpjK/5gb8Ou5s=">AAAB8nicbVBNSwMxEJ2tX7VarXr0EiyCp7orgh4LHvRYwX7Adi3ZNNuGZpMlyQpl6c/w4kERr/4aL+q/Mdv2oK0PBh7vzTBvJkw408Z1v53Cyura+kZxs7S1Xd7Zreztt7RMFaFNIrlUnRBrypmgTcMMp51EURyHnLbD0VXutx+o0kyKOzNOaBDjgWARI9hYye/G2AwJ5tn1pFepujV3CrRMvDmp1sEvf51+3jd6lY9uX5I0psIQjrX2PTcxQYaVYYTTSambappgMsID6lsqcEx1kE0jT9CxVfooksqWMGiq/p7IcKz1OA5tZx5RL3q5+J/npya6DDImktRQQWaLopQjI1F+P+ozRYnhY0swUcxmRWSIFSbGfqlkn+AtnrxMWmc1z615t161fg4zFOEQjuAEPLiAOtxAA5pAQMIjPMOLY5wn59V5m7UWnPnMAfyB8/4DVa6UMA==</latexit><latexit sha1_base64="lPOfMphvuccyAWwpjK/5gb8Ou5s=">AAAB8nicbVBNSwMxEJ2tX7VarXr0EiyCp7orgh4LHvRYwX7Adi3ZNNuGZpMlyQpl6c/w4kERr/4aL+q/Mdv2oK0PBh7vzTBvJkw408Z1v53Cyura+kZxs7S1Xd7Zreztt7RMFaFNIrlUnRBrypmgTcMMp51EURyHnLbD0VXutx+o0kyKOzNOaBDjgWARI9hYye/G2AwJ5tn1pFepujV3CrRMvDmp1sEvf51+3jd6lY9uX5I0psIQjrX2PTcxQYaVYYTTSambappgMsID6lsqcEx1kE0jT9CxVfooksqWMGiq/p7IcKz1OA5tZx5RL3q5+J/npya6DDImktRQQWaLopQjI1F+P+ozRYnhY0swUcxmRWSIFSbGfqlkn+AtnrxMWmc1z615t161fg4zFOEQjuAEPLiAOtxAA5pAQMIjPMOLY5wn59V5m7UWnPnMAfyB8/4DVa6UMA==</latexit><latexit sha1_base64="lPOfMphvuccyAWwpjK/5gb8Ou5s=">AAAB8nicbVBNSwMxEJ2tX7VarXr0EiyCp7orgh4LHvRYwX7Adi3ZNNuGZpMlyQpl6c/w4kERr/4aL+q/Mdv2oK0PBh7vzTBvJkw408Z1v53Cyura+kZxs7S1Xd7Zreztt7RMFaFNIrlUnRBrypmgTcMMp51EURyHnLbD0VXutx+o0kyKOzNOaBDjgWARI9hYye/G2AwJ5tn1pFepujV3CrRMvDmp1sEvf51+3jd6lY9uX5I0psIQjrX2PTcxQYaVYYTTSambappgMsID6lsqcEx1kE0jT9CxVfooksqWMGiq/p7IcKz1OA5tZx5RL3q5+J/npya6DDImktRQQWaLopQjI1F+P+ozRYnhY0swUcxmRWSIFSbGfqlkn+AtnrxMWmc1z615t161fg4zFOEQjuAEPLiAOtxAA5pAQMIjPMOLY5wn59V5m7UWnPnMAfyB8/4DVa6UMA==</latexit><latexit sha1_base64="lPOfMphvuccyAWwpjK/5gb8Ou5s=">AAAB8nicbVBNSwMxEJ2tX7VarXr0EiyCp7orgh4LHvRYwX7Adi3ZNNuGZpMlyQpl6c/w4kERr/4aL+q/Mdv2oK0PBh7vzTBvJkw408Z1v53Cyura+kZxs7S1Xd7Zreztt7RMFaFNIrlUnRBrypmgTcMMp51EURyHnLbD0VXutx+o0kyKOzNOaBDjgWARI9hYye/G2AwJ5tn1pFepujV3CrRMvDmp1sEvf51+3jd6lY9uX5I0psIQjrX2PTcxQYaVYYTTSambappgMsID6lsqcEx1kE0jT9CxVfooksqWMGiq/p7IcKz1OA5tZx5RL3q5+J/npya6DDImktRQQWaLopQjI1F+P+ozRYnhY0swUcxmRWSIFSbGfqlkn+AtnrxMWmc1z615t161fg4zFOEQjuAEPLiAOtxAA5pAQMIjPMOLY5wn59V5m7UWnPnMAfyB8/4DVa6UMA==</latexit><latexit sha1_base64="kvNeWJeb+vby+b5mjJZuCNItyxE=">AAAB8nicbVBNS8NAFHypX7V+VT16CRbBU0lE0GPBgx4r2FpIQ9lsN+3SzW7YfRFK6M/w4kERr/4ab/4bN20O2jqwMMy8x86bKBXcoOd9O5W19Y3Nrep2bWd3b/+gfnjUNSrTlHWoEkr3ImKY4JJ1kKNgvVQzkkSCPUaTm8J/fGLacCUfcJqyMCEjyWNOCVop6CcEx5SI/HY2qDe8pjeHu0r8kjSgRHtQ/+oPFc0SJpEKYkzgeymGOdHIqWCzWj8zLCV0QkYssFSShJkwn0eeuWdWGbqx0vZJdOfq742cJMZMk8hOFhHNsleI/3lBhvF1mHOZZsgkXXwUZ8JF5Rb3u0OuGUUxtYRQzW1Wl46JJhRtSzVbgr988irpXjR9r+nf+43WZVlHFU7gFM7BhytowR20oQMUFDzDK7w56Lw4787HYrTilDvH8AfO5w90RpFM</latexit>

X<latexit sha1_base64="SoARac0V6iE9Hg9Gfl1+IR8t2fU=">AAACAHicbVDLSsNAFL2prxpfURcu3ASL4Kok3ehGLLhxWcE+oAllMpm0QyeTMDMRSgiIv+LGhSKuBD/DnX/jpO1CWy8MczjnXu65J0gZlcpxvo3Kyura+kZ109za3tnds/YPOjLJBCZtnLBE9AIkCaOctBVVjPRSQVAcMNINxtel3r0nQtKE36lJSvwYDTmNKEZKUwPryAsSFspJrL/ci5EaBVHeK4qBVXPqzrTsZeDOQe3qw7x8AIDWwPrywgRnMeEKMyRl33VS5edIKIoZKUwvkyRFeIyGpK8hRzGRfj49oLBPNRPaUSL048qesr8nchTL0qPuLC3KRa0k/9P6mYou/JzyNFOE49miKGO2SuwyDTukgmDFJhogLKj2auMREggrnZmpQ3AXT14GnUbdderurVtrNmBWVTiGEzgDF86hCTfQgjZgKOAJXuDVeDSejTfjfdZaMeYzh/CnjM8fOD6Y5A==</latexit><latexit sha1_base64="qWgaT67PqAkm5tgqQrDwmK4kzz4=">AAACAHicbVDLSsNAFJ34rPEVdeHCzWARXJWkG92IBTcuK9gHNKFMJpN26GQmzEyEErLxV7pxoYgrwc9wI/6Nk7YLbb0wzOGce7nnnjBlVGnX/bZWVtfWNzYrW/b2zu7evnNw2FYik5i0sGBCdkOkCKOctDTVjHRTSVASMtIJRzel3nkgUlHB7/U4JUGCBpzGFCNtqL5z7IeCRWqcmC/3E6SHYZx3i6LvVN2aOy24DLw5qF6/21fp5Mtu9p1PPxI4SwjXmCGlep6b6iBHUlPMSGH7mSIpwiM0ID0DOUqICvLpAQU8M0wEYyHN4xpO2d8TOUpU6dF0lhbVolaS/2m9TMeXQU55mmnC8WxRnDGoBSzTgBGVBGs2NgBhSY1XiIdIIqxNZrYJwVs8eRm06zXPrXl3XrVRB7OqgBNwCs6BBy5AA9yCJmgBDAowAc/gxXq0nqxX623WumLNZ47An7I+fgApzZpY</latexit><latexit sha1_base64="qWgaT67PqAkm5tgqQrDwmK4kzz4=">AAACAHicbVDLSsNAFJ34rPEVdeHCzWARXJWkG92IBTcuK9gHNKFMJpN26GQmzEyEErLxV7pxoYgrwc9wI/6Nk7YLbb0wzOGce7nnnjBlVGnX/bZWVtfWNzYrW/b2zu7evnNw2FYik5i0sGBCdkOkCKOctDTVjHRTSVASMtIJRzel3nkgUlHB7/U4JUGCBpzGFCNtqL5z7IeCRWqcmC/3E6SHYZx3i6LvVN2aOy24DLw5qF6/21fp5Mtu9p1PPxI4SwjXmCGlep6b6iBHUlPMSGH7mSIpwiM0ID0DOUqICvLpAQU8M0wEYyHN4xpO2d8TOUpU6dF0lhbVolaS/2m9TMeXQU55mmnC8WxRnDGoBSzTgBGVBGs2NgBhSY1XiIdIIqxNZrYJwVs8eRm06zXPrXl3XrVRB7OqgBNwCs6BBy5AA9yCJmgBDAowAc/gxXq0nqxX623WumLNZ47An7I+fgApzZpY</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="lRci+iNpZsP/3wf1/7LPfTh7U9I=">AAAB9XicbVC9TsMwGPxS/kopEFgYWCwqJKYqYaEjEgtjkeiP1ESV4zitVceObAepirLwKiwMIMSrsPE2OG0HaDnJ8unOn3zfRRln2njet1Pb2t7Z3avvNw6ah0fH7kmzr2WuCO0RyaUaRlhTzgTtGWY4HWaK4jTidBDN7ip/8ESVZlI8mnlGwxRPBEsYwcZKY/csiCSP9Ty1VxGk2EyjpBiW5dhteW1vAbRJ/BVpwQrdsfsVxJLkKRWGcKz1yPcyExZYGUY4LRtBrmmGyQxP6MhSgVOqw2KxQIkurRKjRCp7hEEL9fdEgVNdZbQvq4h63avE/7xRbpJOWDCR5YYKsvwoyTkyElVtoJgpSgyfW4KJYjYrIlOsMDG2s4YtwV9feZP0r9u+1/YfPKjDOVzAFfhwA7dwD13oAYESXuAN3p1n59X5WNZVc1a9ncIfOJ8/Y2eVzw==</latexit><latexit sha1_base64="lRci+iNpZsP/3wf1/7LPfTh7U9I=">AAAB9XicbVC9TsMwGPxS/kopEFgYWCwqJKYqYaEjEgtjkeiP1ESV4zitVceObAepirLwKiwMIMSrsPE2OG0HaDnJ8unOn3zfRRln2njet1Pb2t7Z3avvNw6ah0fH7kmzr2WuCO0RyaUaRlhTzgTtGWY4HWaK4jTidBDN7ip/8ESVZlI8mnlGwxRPBEsYwcZKY/csiCSP9Ty1VxGk2EyjpBiW5dhteW1vAbRJ/BVpwQrdsfsVxJLkKRWGcKz1yPcyExZYGUY4LRtBrmmGyQxP6MhSgVOqw2KxQIkurRKjRCp7hEEL9fdEgVNdZbQvq4h63avE/7xRbpJOWDCR5YYKsvwoyTkyElVtoJgpSgyfW4KJYjYrIlOsMDG2s4YtwV9feZP0r9u+1/YfPKjDOVzAFfhwA7dwD13oAYESXuAN3p1n59X5WNZVc1a9ncIfOJ8/Y2eVzw==</latexit><latexit sha1_base64="Pkw6L1kDTb0beT1+7EilWQ2yMMY=">AAACAHicbVC7TsMwFL0pr1JeAQYGlogKialKusBYiYWxSPQhNVHlOE5r1bEj20Gqoiz8CgsDCLHyGWz8DU6bAVquZPnonHt1zz1hyqjSrvtt1TY2t7Z36ruNvf2DwyP7+KSvRCYx6WHBhByGSBFGOelpqhkZppKgJGRkEM5uS33wSKSigj/oeUqCBE04jSlG2lBj+8wPBYvUPDFf7idIT8M4HxbF2G66LXdRzjrwKtCEqrpj+8uPBM4SwjVmSKmR56Y6yJHUFDNSNPxMkRThGZqQkYEcJUQF+eKAwrk0TOTEQprHtbNgf0/kKFGlR9NZWlSrWkn+p40yHd8EOeVppgnHy0VxxhwtnDINJ6KSYM3mBiAsqfHq4CmSCGuTWcOE4K2evA767Zbntrx7t9lpV3HU4Rwu4Ao8uIYO3EEXeoChgGd4hTfryXqx3q2PZWvNqmZO4U9Znz/eV5cm</latexit><latexit sha1_base64="kbMAX+6aZi3Bd9WCW0Bbz+ee5z0=">AAACAHicbVC7TsMwFL0pr1JeAQYGlogKialKusBYiYWxSPQhNVHlOE5r1bEj20Gqoiz8CgsDCLHyGWz8DU6bAVquZPnonHt1zz1hyqjSrvtt1TY2t7Z36ruNvf2DwyP7+KSvRCYx6WHBhByGSBFGOelpqhkZppKgJGRkEM5uS33wSKSigj/oeUqCBE04jSlG2lBj+8wPBYvUPDFf7idIT8M4HxbF2G66LXdRzjrwKtCEqrpj+8uPBM4SwjVmSKmR56Y6yJHUFDNSNPxMkRThGZqQkYEcJUQF+eKAwrk0TOTEQprHtbNgf0/kKFGlR9NZWlSrWkn+p40yHd8EOeVppgnHy0VxxhwtnDINJ6KSYM3mBiAsqfHq4CmSCGuTWcOE4K2evA767Zbntrx7r9lpV3HU4Rwu4Ao8uIYO3EEXeoChgGd4hTfryXqx3q2PZWvNqmZO4U9Znz/ep5cn</latexit><latexit sha1_base64="qWgaT67PqAkm5tgqQrDwmK4kzz4=">AAACAHicbVDLSsNAFJ34rPEVdeHCzWARXJWkG92IBTcuK9gHNKFMJpN26GQmzEyEErLxV7pxoYgrwc9wI/6Nk7YLbb0wzOGce7nnnjBlVGnX/bZWVtfWNzYrW/b2zu7evnNw2FYik5i0sGBCdkOkCKOctDTVjHRTSVASMtIJRzel3nkgUlHB7/U4JUGCBpzGFCNtqL5z7IeCRWqcmC/3E6SHYZx3i6LvVN2aOy24DLw5qF6/21fp5Mtu9p1PPxI4SwjXmCGlep6b6iBHUlPMSGH7mSIpwiM0ID0DOUqICvLpAQU8M0wEYyHN4xpO2d8TOUpU6dF0lhbVolaS/2m9TMeXQU55mmnC8WxRnDGoBSzTgBGVBGs2NgBhSY1XiIdIIqxNZrYJwVs8eRm06zXPrXl3XrVRB7OqgBNwCs6BBy5AA9yCJmgBDAowAc/gxXq0nqxX623WumLNZ47An7I+fgApzZpY</latexit><latexit sha1_base64="qWgaT67PqAkm5tgqQrDwmK4kzz4=">AAACAHicbVDLSsNAFJ34rPEVdeHCzWARXJWkG92IBTcuK9gHNKFMJpN26GQmzEyEErLxV7pxoYgrwc9wI/6Nk7YLbb0wzOGce7nnnjBlVGnX/bZWVtfWNzYrW/b2zu7evnNw2FYik5i0sGBCdkOkCKOctDTVjHRTSVASMtIJRzel3nkgUlHB7/U4JUGCBpzGFCNtqL5z7IeCRWqcmC/3E6SHYZx3i6LvVN2aOy24DLw5qF6/21fp5Mtu9p1PPxI4SwjXmCGlep6b6iBHUlPMSGH7mSIpwiM0ID0DOUqICvLpAQU8M0wEYyHN4xpO2d8TOUpU6dF0lhbVolaS/2m9TMeXQU55mmnC8WxRnDGoBSzTgBGVBGs2NgBhSY1XiIdIIqxNZrYJwVs8eRm06zXPrXl3XrVRB7OqgBNwCs6BBy5AA9yCJmgBDAowAc/gxXq0nqxX623WumLNZ47An7I+fgApzZpY</latexit><latexit sha1_base64="qWgaT67PqAkm5tgqQrDwmK4kzz4=">AAACAHicbVDLSsNAFJ34rPEVdeHCzWARXJWkG92IBTcuK9gHNKFMJpN26GQmzEyEErLxV7pxoYgrwc9wI/6Nk7YLbb0wzOGce7nnnjBlVGnX/bZWVtfWNzYrW/b2zu7evnNw2FYik5i0sGBCdkOkCKOctDTVjHRTSVASMtIJRzel3nkgUlHB7/U4JUGCBpzGFCNtqL5z7IeCRWqcmC/3E6SHYZx3i6LvVN2aOy24DLw5qF6/21fp5Mtu9p1PPxI4SwjXmCGlep6b6iBHUlPMSGH7mSIpwiM0ID0DOUqICvLpAQU8M0wEYyHN4xpO2d8TOUpU6dF0lhbVolaS/2m9TMeXQU55mmnC8WxRnDGoBSzTgBGVBGs2NgBhSY1XiIdIIqxNZrYJwVs8eRm06zXPrXl3XrVRB7OqgBNwCs6BBy5AA9yCJmgBDAowAc/gxXq0nqxX623WumLNZ47An7I+fgApzZpY</latexit><latexit sha1_base64="qWgaT67PqAkm5tgqQrDwmK4kzz4=">AAACAHicbVDLSsNAFJ34rPEVdeHCzWARXJWkG92IBTcuK9gHNKFMJpN26GQmzEyEErLxV7pxoYgrwc9wI/6Nk7YLbb0wzOGce7nnnjBlVGnX/bZWVtfWNzYrW/b2zu7evnNw2FYik5i0sGBCdkOkCKOctDTVjHRTSVASMtIJRzel3nkgUlHB7/U4JUGCBpzGFCNtqL5z7IeCRWqcmC/3E6SHYZx3i6LvVN2aOy24DLw5qF6/21fp5Mtu9p1PPxI4SwjXmCGlep6b6iBHUlPMSGH7mSIpwiM0ID0DOUqICvLpAQU8M0wEYyHN4xpO2d8TOUpU6dF0lhbVolaS/2m9TMeXQU55mmnC8WxRnDGoBSzTgBGVBGs2NgBhSY1XiIdIIqxNZrYJwVs8eRm06zXPrXl3XrVRB7OqgBNwCs6BBy5AA9yCJmgBDAowAc/gxXq0nqxX623WumLNZ47An7I+fgApzZpY</latexit><latexit sha1_base64="kbMAX+6aZi3Bd9WCW0Bbz+ee5z0=">AAACAHicbVC7TsMwFL0pr1JeAQYGlogKialKusBYiYWxSPQhNVHlOE5r1bEj20Gqoiz8CgsDCLHyGWz8DU6bAVquZPnonHt1zz1hyqjSrvtt1TY2t7Z36ruNvf2DwyP7+KSvRCYx6WHBhByGSBFGOelpqhkZppKgJGRkEM5uS33wSKSigj/oeUqCBE04jSlG2lBj+8wPBYvUPDFf7idIT8M4HxbF2G66LXdRzjrwKtCEqrpj+8uPBM4SwjVmSKmR56Y6yJHUFDNSNPxMkRThGZqQkYEcJUQF+eKAwrk0TOTEQprHtbNgf0/kKFGlR9NZWlSrWkn+p40yHd8EOeVppgnHy0VxxhwtnDINJ6KSYM3mBiAsqfHq4CmSCGuTWcOE4K2evA767Zbntrx7r9lpV3HU4Rwu4Ao8uIYO3EEXeoChgGd4hTfryXqx3q2PZWvNqmZO4U9Znz/ep5cn</latexit>

A<latexit sha1_base64="pwZgwkrYgGlAEQdCQynU/PsUrnQ=">AAACAHicbVDLSsNAFL3xWeMr6sKFm8EiuCpJN7oRK25cVrAPaEKZTCbt0MmDmYlQQkD8FTcuFHEl+Bnu/BsnbRfaemGYwzn3cs89fsqZVLb9bSwtr6yurVc2zM2t7Z1da2+/LZNMENoiCU9E18eSchbTlmKK024qKI58Tjv+6LrUO/dUSJbEd2qcUi/Cg5iFjGClqb516PoJD+Q40l/uRlgN/TC/Koq+VbVr9qTQInBmoHr5YV48AECzb325QUKyiMaKcCxlz7FT5eVYKEY4LUw3kzTFZIQHtKdhjCMqvXxyQIFONBOgMBH6xQpN2N8TOY5k6VF3lhblvFaS/2m9TIXnXs7iNFM0JtNFYcaRSlCZBgqYoETxsQaYCKa9IjLEAhOlMzN1CM78yYugXa85ds25daqNOkyrAkdwDKfgwBk04Aaa0AICBTzBC7waj8az8Wa8T1uXjNnMAfwp4/MHFTSYzQ==</latexit><latexit sha1_base64="7tsYnoq8xyS90CB8JJvM5KQTUxc=">AAACAHicbVC7TsMwFHXKq4RXgIGBxaJCYqqSLrAgilgYi0QfUhtVjuO0Vh07sh2kKsrCr3RhACEmJD6DBfE3OG0HaLmS5aNz7tU99wQJo0q77rdVWlldW98ob9pb2zu7e87+QUuJVGLSxIIJ2QmQIoxy0tRUM9JJJEFxwEg7GN0UevuBSEUFv9fjhPgxGnAaUYy0ofrOUS8QLFTj2HxZL0Z6GETZdZ73nYpbdacFl4E3B5Wrd/symXzZjb7z2QsFTmPCNWZIqa7nJtrPkNQUM5LbvVSRBOERGpCugRzFRPnZ9IAcnhomhJGQ5nENp+zviQzFqvBoOguLalEryP+0bqqjCz+jPEk14Xi2KEoZ1AIWacCQSoI1GxuAsKTGK8RDJBHWJjPbhOAtnrwMWrWq51a9O69Sr4FZlcExOAFnwAPnoA5uQQM0AQY5mIBn8GI9Wk/Wq/U2ay1Z85lD8Kesjx8Gw5pB</latexit><latexit sha1_base64="7tsYnoq8xyS90CB8JJvM5KQTUxc=">AAACAHicbVC7TsMwFHXKq4RXgIGBxaJCYqqSLrAgilgYi0QfUhtVjuO0Vh07sh2kKsrCr3RhACEmJD6DBfE3OG0HaLmS5aNz7tU99wQJo0q77rdVWlldW98ob9pb2zu7e87+QUuJVGLSxIIJ2QmQIoxy0tRUM9JJJEFxwEg7GN0UevuBSEUFv9fjhPgxGnAaUYy0ofrOUS8QLFTj2HxZL0Z6GETZdZ73nYpbdacFl4E3B5Wrd/symXzZjb7z2QsFTmPCNWZIqa7nJtrPkNQUM5LbvVSRBOERGpCugRzFRPnZ9IAcnhomhJGQ5nENp+zviQzFqvBoOguLalEryP+0bqqjCz+jPEk14Xi2KEoZ1AIWacCQSoI1GxuAsKTGK8RDJBHWJjPbhOAtnrwMWrWq51a9O69Sr4FZlcExOAFnwAPnoA5uQQM0AQY5mIBn8GI9Wk/Wq/U2ay1Z85lD8Kesjx8Gw5pB</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="pULKbVrryZqHwnySvuGglMSv6lI=">AAAB9XicbVC9TsMwGPxS/kopEFgYWCwqJKYqYYERxMJYJPojNVHlOE5r1bEj20Gqoiy8CgsDCPEqbLwNTtsBWk6yfLrzJ993UcaZNp737dQ2Nre2d+q7jb3m/sGhe9TsaZkrQrtEcqkGEdaUM0G7hhlOB5miOI047UfTu8rvP1GlmRSPZpbRMMVjwRJGsLHSyD0JIsljPUvtVQQpNpMoKW7LcuS2vLY3B1on/pK0YInOyP0KYknylApDONZ66HuZCQusDCOclo0g1zTDZIrHdGipwCnVYTFfoETnVolRIpU9wqC5+nuiwKmuMtqXVUS96lXif94wN8l1WDCR5YYKsvgoyTkyElVtoJgpSgyfWYKJYjYrIhOsMDG2s4YtwV9deZ30Ltu+1/YfPKjDKZzBBfhwBTdwDx3oAoESXuAN3p1n59X5WNRVc5a9HcMfOJ8/QVqVuA==</latexit><latexit sha1_base64="pULKbVrryZqHwnySvuGglMSv6lI=">AAAB9XicbVC9TsMwGPxS/kopEFgYWCwqJKYqYYERxMJYJPojNVHlOE5r1bEj20Gqoiy8CgsDCPEqbLwNTtsBWk6yfLrzJ993UcaZNp737dQ2Nre2d+q7jb3m/sGhe9TsaZkrQrtEcqkGEdaUM0G7hhlOB5miOI047UfTu8rvP1GlmRSPZpbRMMVjwRJGsLHSyD0JIsljPUvtVQQpNpMoKW7LcuS2vLY3B1on/pK0YInOyP0KYknylApDONZ66HuZCQusDCOclo0g1zTDZIrHdGipwCnVYTFfoETnVolRIpU9wqC5+nuiwKmuMtqXVUS96lXif94wN8l1WDCR5YYKsvgoyTkyElVtoJgpSgyfWYKJYjYrIhOsMDG2s4YtwV9deZ30Ltu+1/YfPKjDKZzBBfhwBTdwDx3oAoESXuAN3p1n59X5WNRVc5a9HcMfOJ8/QVqVuA==</latexit><latexit sha1_base64="06UNM/+ptyp+pGOi16NgEm7mdJ0=">AAACAHicbVC7TsMwFL3hWcorwMDAElEhMVVJFxiLWBiLRB9SE1WO47RWHTuyHaQqysKvsDCAECufwcbf4LQZoOVKlo/OuVf33BOmjCrtut/W2vrG5tZ2bae+u7d/cGgfHfeUyCQmXSyYkIMQKcIoJ11NNSODVBKUhIz0w+ltqfcfiVRU8Ac9S0mQoDGnMcVIG2pkn/qhYJGaJebL/QTpSRjnN0Uxshtu052Xswq8CjSgqs7I/vIjgbOEcI0ZUmrouakOciQ1xYwUdT9TJEV4isZkaCBHCVFBPj+gcC4MEzmxkOZx7czZ3xM5SlTp0XSWFtWyVpL/acNMx9dBTnmaacLxYlGcMUcLp0zDiagkWLOZAQhLarw6eIIkwtpkVjcheMsnr4Jeq+m5Te/ebbRbVRw1OINzuAQPrqANd9CBLmAo4Ble4c16sl6sd+tj0bpmVTMn8Keszx+7TZcP</latexit><latexit sha1_base64="RpW0Xh8L7p6tNa8/fTTJfQLahXA=">AAACAHicbVC7TsMwFL3hWcorwMDAElEhMVVJFxiLWBiLRB9SE1WO47RWHTuyHaQqysKvsDCAECufwcbf4LQZoOVKlo/OuVf33BOmjCrtut/W2vrG5tZ2bae+u7d/cGgfHfeUyCQmXSyYkIMQKcIoJ11NNSODVBKUhIz0w+ltqfcfiVRU8Ac9S0mQoDGnMcVIG2pkn/qhYJGaJebL/QTpSRjnN0Uxshtu052Xswq8CjSgqs7I/vIjgbOEcI0ZUmrouakOciQ1xYwUdT9TJEV4isZkaCBHCVFBPj+gcC4MEzmxkOZx7czZ3xM5SlTp0XSWFtWyVpL/acNMx9dBTnmaacLxYlGcMUcLp0zDiagkWLOZAQhLarw6eIIkwtpkVjcheMsnr4Jeq+m5Te/ea7RbVRw1OINzuAQPrqANd9CBLmAo4Ble4c16sl6sd+tj0bpmVTMn8Keszx+7nZcQ</latexit><latexit sha1_base64="7tsYnoq8xyS90CB8JJvM5KQTUxc=">AAACAHicbVC7TsMwFHXKq4RXgIGBxaJCYqqSLrAgilgYi0QfUhtVjuO0Vh07sh2kKsrCr3RhACEmJD6DBfE3OG0HaLmS5aNz7tU99wQJo0q77rdVWlldW98ob9pb2zu7e87+QUuJVGLSxIIJ2QmQIoxy0tRUM9JJJEFxwEg7GN0UevuBSEUFv9fjhPgxGnAaUYy0ofrOUS8QLFTj2HxZL0Z6GETZdZ73nYpbdacFl4E3B5Wrd/symXzZjb7z2QsFTmPCNWZIqa7nJtrPkNQUM5LbvVSRBOERGpCugRzFRPnZ9IAcnhomhJGQ5nENp+zviQzFqvBoOguLalEryP+0bqqjCz+jPEk14Xi2KEoZ1AIWacCQSoI1GxuAsKTGK8RDJBHWJjPbhOAtnrwMWrWq51a9O69Sr4FZlcExOAFnwAPnoA5uQQM0AQY5mIBn8GI9Wk/Wq/U2ay1Z85lD8Kesjx8Gw5pB</latexit><latexit sha1_base64="7tsYnoq8xyS90CB8JJvM5KQTUxc=">AAACAHicbVC7TsMwFHXKq4RXgIGBxaJCYqqSLrAgilgYi0QfUhtVjuO0Vh07sh2kKsrCr3RhACEmJD6DBfE3OG0HaLmS5aNz7tU99wQJo0q77rdVWlldW98ob9pb2zu7e87+QUuJVGLSxIIJ2QmQIoxy0tRUM9JJJEFxwEg7GN0UevuBSEUFv9fjhPgxGnAaUYy0ofrOUS8QLFTj2HxZL0Z6GETZdZ73nYpbdacFl4E3B5Wrd/symXzZjb7z2QsFTmPCNWZIqa7nJtrPkNQUM5LbvVSRBOERGpCugRzFRPnZ9IAcnhomhJGQ5nENp+zviQzFqvBoOguLalEryP+0bqqjCz+jPEk14Xi2KEoZ1AIWacCQSoI1GxuAsKTGK8RDJBHWJjPbhOAtnrwMWrWq51a9O69Sr4FZlcExOAFnwAPnoA5uQQM0AQY5mIBn8GI9Wk/Wq/U2ay1Z85lD8Kesjx8Gw5pB</latexit><latexit sha1_base64="7tsYnoq8xyS90CB8JJvM5KQTUxc=">AAACAHicbVC7TsMwFHXKq4RXgIGBxaJCYqqSLrAgilgYi0QfUhtVjuO0Vh07sh2kKsrCr3RhACEmJD6DBfE3OG0HaLmS5aNz7tU99wQJo0q77rdVWlldW98ob9pb2zu7e87+QUuJVGLSxIIJ2QmQIoxy0tRUM9JJJEFxwEg7GN0UevuBSEUFv9fjhPgxGnAaUYy0ofrOUS8QLFTj2HxZL0Z6GETZdZ73nYpbdacFl4E3B5Wrd/symXzZjb7z2QsFTmPCNWZIqa7nJtrPkNQUM5LbvVSRBOERGpCugRzFRPnZ9IAcnhomhJGQ5nENp+zviQzFqvBoOguLalEryP+0bqqjCz+jPEk14Xi2KEoZ1AIWacCQSoI1GxuAsKTGK8RDJBHWJjPbhOAtnrwMWrWq51a9O69Sr4FZlcExOAFnwAPnoA5uQQM0AQY5mIBn8GI9Wk/Wq/U2ay1Z85lD8Kesjx8Gw5pB</latexit><latexit sha1_base64="7tsYnoq8xyS90CB8JJvM5KQTUxc=">AAACAHicbVC7TsMwFHXKq4RXgIGBxaJCYqqSLrAgilgYi0QfUhtVjuO0Vh07sh2kKsrCr3RhACEmJD6DBfE3OG0HaLmS5aNz7tU99wQJo0q77rdVWlldW98ob9pb2zu7e87+QUuJVGLSxIIJ2QmQIoxy0tRUM9JJJEFxwEg7GN0UevuBSEUFv9fjhPgxGnAaUYy0ofrOUS8QLFTj2HxZL0Z6GETZdZ73nYpbdacFl4E3B5Wrd/symXzZjb7z2QsFTmPCNWZIqa7nJtrPkNQUM5LbvVSRBOERGpCugRzFRPnZ9IAcnhomhJGQ5nENp+zviQzFqvBoOguLalEryP+0bqqjCz+jPEk14Xi2KEoZ1AIWacCQSoI1GxuAsKTGK8RDJBHWJjPbhOAtnrwMWrWq51a9O69Sr4FZlcExOAFnwAPnoA5uQQM0AQY5mIBn8GI9Wk/Wq/U2ay1Z85lD8Kesjx8Gw5pB</latexit><latexit sha1_base64="RpW0Xh8L7p6tNa8/fTTJfQLahXA=">AAACAHicbVC7TsMwFL3hWcorwMDAElEhMVVJFxiLWBiLRB9SE1WO47RWHTuyHaQqysKvsDCAECufwcbf4LQZoOVKlo/OuVf33BOmjCrtut/W2vrG5tZ2bae+u7d/cGgfHfeUyCQmXSyYkIMQKcIoJ11NNSODVBKUhIz0w+ltqfcfiVRU8Ac9S0mQoDGnMcVIG2pkn/qhYJGaJebL/QTpSRjnN0Uxshtu052Xswq8CjSgqs7I/vIjgbOEcI0ZUmrouakOciQ1xYwUdT9TJEV4isZkaCBHCVFBPj+gcC4MEzmxkOZx7czZ3xM5SlTp0XSWFtWyVpL/acNMx9dBTnmaacLxYlGcMUcLp0zDiagkWLOZAQhLarw6eIIkwtpkVjcheMsnr4Jeq+m5Te/ea7RbVRw1OINzuAQPrqANd9CBLmAo4Ble4c16sl6sd+tj0bpmVTMn8Keszx+7nZcQ</latexit>

XT<latexit sha1_base64="klBZ82LHCKxl+NYU2hVOK0ptRTo=">AAACAnicbVDLSsNAFJ3UV62vqCtxM1gEVyUpgi4LblxW6AuaWCaTSTt0MhNmJkIJwY2/4saFIm79Cnf+jZM2C229MMzhnHu5554gYVRpx/m2KmvrG5tb1e3azu7e/oF9eNRTIpWYdLFgQg4CpAijnHQ11YwMEklQHDDSD6Y3hd5/IFJRwTt6lhA/RmNOI4qRNtTIPvECwUI1i82XeTHSkyDKBvedPB/ZdafhzAuuArcEdVBWe2R/eaHAaUy4xgwpNXSdRPsZkppiRvKalyqSIDxFYzI0kKOYKD+bn5DDc8OEMBLSPK7hnP09kaFYFS5NZ2FSLWsF+Z82THV07WeUJ6kmHC8WRSmDWsAiDxhSSbBmMwMQltR4hXiCJMLapFYzIbjLJ6+CXrPhOg337rLeapZxVMEpOAMXwAVXoAVuQRt0AQaP4Bm8gjfryXqx3q2PRWvFKmeOwZ+yPn8ASv2X8A==</latexit><latexit sha1_base64="klBZ82LHCKxl+NYU2hVOK0ptRTo=">AAACAnicbVDLSsNAFJ3UV62vqCtxM1gEVyUpgi4LblxW6AuaWCaTSTt0MhNmJkIJwY2/4saFIm79Cnf+jZM2C229MMzhnHu5554gYVRpx/m2KmvrG5tb1e3azu7e/oF9eNRTIpWYdLFgQg4CpAijnHQ11YwMEklQHDDSD6Y3hd5/IFJRwTt6lhA/RmNOI4qRNtTIPvECwUI1i82XeTHSkyDKBvedPB/ZdafhzAuuArcEdVBWe2R/eaHAaUy4xgwpNXSdRPsZkppiRvKalyqSIDxFYzI0kKOYKD+bn5DDc8OEMBLSPK7hnP09kaFYFS5NZ2FSLWsF+Z82THV07WeUJ6kmHC8WRSmDWsAiDxhSSbBmMwMQltR4hXiCJMLapFYzIbjLJ6+CXrPhOg337rLeapZxVMEpOAMXwAVXoAVuQRt0AQaP4Bm8gjfryXqx3q2PRWvFKmeOwZ+yPn8ASv2X8A==</latexit><latexit sha1_base64="klBZ82LHCKxl+NYU2hVOK0ptRTo=">AAACAnicbVDLSsNAFJ3UV62vqCtxM1gEVyUpgi4LblxW6AuaWCaTSTt0MhNmJkIJwY2/4saFIm79Cnf+jZM2C229MMzhnHu5554gYVRpx/m2KmvrG5tb1e3azu7e/oF9eNRTIpWYdLFgQg4CpAijnHQ11YwMEklQHDDSD6Y3hd5/IFJRwTt6lhA/RmNOI4qRNtTIPvECwUI1i82XeTHSkyDKBvedPB/ZdafhzAuuArcEdVBWe2R/eaHAaUy4xgwpNXSdRPsZkppiRvKalyqSIDxFYzI0kKOYKD+bn5DDc8OEMBLSPK7hnP09kaFYFS5NZ2FSLWsF+Z82THV07WeUJ6kmHC8WRSmDWsAiDxhSSbBmMwMQltR4hXiCJMLapFYzIbjLJ6+CXrPhOg337rLeapZxVMEpOAMXwAVXoAVuQRt0AQaP4Bm8gjfryXqx3q2PRWvFKmeOwZ+yPn8ASv2X8A==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="femPFLJ3ofO0nMCqc4b+UKKJ/lY=">AAAB93icbVDNSgMxGPy2/tVadfUmXoJF8FR2vehR8OKxQv+gW0s2m21Ds8mSZIWyLF58FS8eFPFNvPk2ZtsetHUgZJjJR+abMOVMG8/7diobm1vbO9Xd2l59/+DQPap3tcwUoR0iuVT9EGvKmaAdwwyn/VRRnISc9sLpben3HqnSTIq2maV0mOCxYDEj2Fhp5J4EoeSRniX2yoMEm0kY5/2HdlGM3IbX9OZA68RfkgYs0Rq5X0EkSZZQYQjHWg98LzXDHCvDCKdFLcg0TTGZ4jEdWCpwQvUwn69QoHOrRCiWyh5h0Fz9PZHjRJcp7csypF71SvE/b5CZ+HqYM5Fmhgqy+CjOODISlX2giClKDJ9ZgoliNisiE6wwMba1mi3BX115nXQvm77X9O89qMIpnMEF+HAFN3AHLegAgSd4gTd4d56dV+djUVfFWfZ2DH/gfP4AxpiWkw==</latexit><latexit sha1_base64="femPFLJ3ofO0nMCqc4b+UKKJ/lY=">AAAB93icbVDNSgMxGPy2/tVadfUmXoJF8FR2vehR8OKxQv+gW0s2m21Ds8mSZIWyLF58FS8eFPFNvPk2ZtsetHUgZJjJR+abMOVMG8/7diobm1vbO9Xd2l59/+DQPap3tcwUoR0iuVT9EGvKmaAdwwyn/VRRnISc9sLpben3HqnSTIq2maV0mOCxYDEj2Fhp5J4EoeSRniX2yoMEm0kY5/2HdlGM3IbX9OZA68RfkgYs0Rq5X0EkSZZQYQjHWg98LzXDHCvDCKdFLcg0TTGZ4jEdWCpwQvUwn69QoHOrRCiWyh5h0Fz9PZHjRJcp7csypF71SvE/b5CZ+HqYM5Fmhgqy+CjOODISlX2giClKDJ9ZgoliNisiE6wwMba1mi3BX115nXQvm77X9O89qMIpnMEF+HAFN3AHLegAgSd4gTd4d56dV+djUVfFWfZ2DH/gfP4AxpiWkw==</latexit><latexit sha1_base64="cHchCWiVc/rSC2EPtmlmLqn35e0=">AAACAnicbVDLSsNAFL3xWesr6krcDBbBVUm60WXBjcsKfUFTy2QyaYdOJmFmIpQQ3Pgrblwo4tavcOffOGmz0NYLwxzOuZd77vETzpR2nG9rbX1jc2u7slPd3ds/OLSPjrsqTiWhHRLzWPZ9rChngnY005z2E0lx5HPa86c3hd57oFKxWLT1LKHDCI8FCxnB2lAj+9TzYx6oWWS+zIuwnvhh1r9v5/nIrjl1Z15oFbglqEFZrZH95QUxSSMqNOFYqYHrJHqYYakZ4TSveqmiCSZTPKYDAwWOqBpm8xNydGGYAIWxNE9oNGd/T2Q4UoVL01mYVMtaQf6nDVIdXg8zJpJUU0EWi8KUIx2jIg8UMEmJ5jMDMJHMeEVkgiUm2qRWNSG4yyevgm6j7jp1986pNRtlHBU4g3O4BBeuoAm30IIOEHiEZ3iFN+vJerHerY9F65pVzpzAn7I+fwBJvZfs</latexit><latexit sha1_base64="klBZ82LHCKxl+NYU2hVOK0ptRTo=">AAACAnicbVDLSsNAFJ3UV62vqCtxM1gEVyUpgi4LblxW6AuaWCaTSTt0MhNmJkIJwY2/4saFIm79Cnf+jZM2C229MMzhnHu5554gYVRpx/m2KmvrG5tb1e3azu7e/oF9eNRTIpWYdLFgQg4CpAijnHQ11YwMEklQHDDSD6Y3hd5/IFJRwTt6lhA/RmNOI4qRNtTIPvECwUI1i82XeTHSkyDKBvedPB/ZdafhzAuuArcEdVBWe2R/eaHAaUy4xgwpNXSdRPsZkppiRvKalyqSIDxFYzI0kKOYKD+bn5DDc8OEMBLSPK7hnP09kaFYFS5NZ2FSLWsF+Z82THV07WeUJ6kmHC8WRSmDWsAiDxhSSbBmMwMQltR4hXiCJMLapFYzIbjLJ6+CXrPhOg337rLeapZxVMEpOAMXwAVXoAVuQRt0AQaP4Bm8gjfryXqx3q2PRWvFKmeOwZ+yPn8ASv2X8A==</latexit><latexit sha1_base64="klBZ82LHCKxl+NYU2hVOK0ptRTo=">AAACAnicbVDLSsNAFJ3UV62vqCtxM1gEVyUpgi4LblxW6AuaWCaTSTt0MhNmJkIJwY2/4saFIm79Cnf+jZM2C229MMzhnHu5554gYVRpx/m2KmvrG5tb1e3azu7e/oF9eNRTIpWYdLFgQg4CpAijnHQ11YwMEklQHDDSD6Y3hd5/IFJRwTt6lhA/RmNOI4qRNtTIPvECwUI1i82XeTHSkyDKBvedPB/ZdafhzAuuArcEdVBWe2R/eaHAaUy4xgwpNXSdRPsZkppiRvKalyqSIDxFYzI0kKOYKD+bn5DDc8OEMBLSPK7hnP09kaFYFS5NZ2FSLWsF+Z82THV07WeUJ6kmHC8WRSmDWsAiDxhSSbBmMwMQltR4hXiCJMLapFYzIbjLJ6+CXrPhOg337rLeapZxVMEpOAMXwAVXoAVuQRt0AQaP4Bm8gjfryXqx3q2PRWvFKmeOwZ+yPn8ASv2X8A==</latexit><latexit sha1_base64="klBZ82LHCKxl+NYU2hVOK0ptRTo=">AAACAnicbVDLSsNAFJ3UV62vqCtxM1gEVyUpgi4LblxW6AuaWCaTSTt0MhNmJkIJwY2/4saFIm79Cnf+jZM2C229MMzhnHu5554gYVRpx/m2KmvrG5tb1e3azu7e/oF9eNRTIpWYdLFgQg4CpAijnHQ11YwMEklQHDDSD6Y3hd5/IFJRwTt6lhA/RmNOI4qRNtTIPvECwUI1i82XeTHSkyDKBvedPB/ZdafhzAuuArcEdVBWe2R/eaHAaUy4xgwpNXSdRPsZkppiRvKalyqSIDxFYzI0kKOYKD+bn5DDc8OEMBLSPK7hnP09kaFYFS5NZ2FSLWsF+Z82THV07WeUJ6kmHC8WRSmDWsAiDxhSSbBmMwMQltR4hXiCJMLapFYzIbjLJ6+CXrPhOg337rLeapZxVMEpOAMXwAVXoAVuQRt0AQaP4Bm8gjfryXqx3q2PRWvFKmeOwZ+yPn8ASv2X8A==</latexit><latexit sha1_base64="klBZ82LHCKxl+NYU2hVOK0ptRTo=">AAACAnicbVDLSsNAFJ3UV62vqCtxM1gEVyUpgi4LblxW6AuaWCaTSTt0MhNmJkIJwY2/4saFIm79Cnf+jZM2C229MMzhnHu5554gYVRpx/m2KmvrG5tb1e3azu7e/oF9eNRTIpWYdLFgQg4CpAijnHQ11YwMEklQHDDSD6Y3hd5/IFJRwTt6lhA/RmNOI4qRNtTIPvECwUI1i82XeTHSkyDKBvedPB/ZdafhzAuuArcEdVBWe2R/eaHAaUy4xgwpNXSdRPsZkppiRvKalyqSIDxFYzI0kKOYKD+bn5DDc8OEMBLSPK7hnP09kaFYFS5NZ2FSLWsF+Z82THV07WeUJ6kmHC8WRSmDWsAiDxhSSbBmMwMQltR4hXiCJMLapFYzIbjLJ6+CXrPhOg337rLeapZxVMEpOAMXwAVXoAVuQRt0AQaP4Bm8gjfryXqx3q2PRWvFKmeOwZ+yPn8ASv2X8A==</latexit><latexit sha1_base64="klBZ82LHCKxl+NYU2hVOK0ptRTo=">AAACAnicbVDLSsNAFJ3UV62vqCtxM1gEVyUpgi4LblxW6AuaWCaTSTt0MhNmJkIJwY2/4saFIm79Cnf+jZM2C229MMzhnHu5554gYVRpx/m2KmvrG5tb1e3azu7e/oF9eNRTIpWYdLFgQg4CpAijnHQ11YwMEklQHDDSD6Y3hd5/IFJRwTt6lhA/RmNOI4qRNtTIPvECwUI1i82XeTHSkyDKBvedPB/ZdafhzAuuArcEdVBWe2R/eaHAaUy4xgwpNXSdRPsZkppiRvKalyqSIDxFYzI0kKOYKD+bn5DDc8OEMBLSPK7hnP09kaFYFS5NZ2FSLWsF+Z82THV07WeUJ6kmHC8WRSmDWsAiDxhSSbBmMwMQltR4hXiCJMLapFYzIbjLJ6+CXrPhOg337rLeapZxVMEpOAMXwAVXoAVuQRt0AQaP4Bm8gjfryXqx3q2PRWvFKmeOwZ+yPn8ASv2X8A==</latexit><latexit sha1_base64="klBZ82LHCKxl+NYU2hVOK0ptRTo=">AAACAnicbVDLSsNAFJ3UV62vqCtxM1gEVyUpgi4LblxW6AuaWCaTSTt0MhNmJkIJwY2/4saFIm79Cnf+jZM2C229MMzhnHu5554gYVRpx/m2KmvrG5tb1e3azu7e/oF9eNRTIpWYdLFgQg4CpAijnHQ11YwMEklQHDDSD6Y3hd5/IFJRwTt6lhA/RmNOI4qRNtTIPvECwUI1i82XeTHSkyDKBvedPB/ZdafhzAuuArcEdVBWe2R/eaHAaUy4xgwpNXSdRPsZkppiRvKalyqSIDxFYzI0kKOYKD+bn5DDc8OEMBLSPK7hnP09kaFYFS5NZ2FSLWsF+Z82THV07WeUJ6kmHC8WRSmDWsAiDxhSSbBmMwMQltR4hXiCJMLapFYzIbjLJ6+CXrPhOg337rLeapZxVMEpOAMXwAVXoAVuQRt0AQaP4Bm8gjfryXqx3q2PRWvFKmeOwZ+yPn8ASv2X8A==</latexit>

GCN<latexit sha1_base64="uGO1OtvS1TFMOZP4w/2evN7LdBg=">AAAB83icbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjoQU9SwX5AU8pmO2mXbjZhdyKW0L/hxYMiXv0z3vw3btsctPXBwOO9GWbmBYkUBl3321lb39jc2i7sFHf39g8OS0fHLROnmkOTxzLWnYAZkEJBEwVK6CQaWBRIaAfj+sxvP4I2IlYPOEmgF7GhEqHgDK3k+whPGITZTf1u2i+V3Yo7B10lXk7KJEejX/ryBzFPI1DIJTOm67kJ9jKmUXAJ06KfGkgYH7MhdC1VLALTy+Y3T+m5VQY0jLUthXSu/p7IWGTMJApsZ8RwZJa9mfif100xvO5lQiUpguKLRWEqKcZ0FgAdCA0c5cQSxrWwt1I+YppxtDEVbQje8surpFWteG7Fu78s16p5HAVySs7IBfHIFamRW9IgTcJJQp7JK3lzUufFeXc+Fq1rTj5zQv7A+fwBBYKRmw==</latexit><latexit sha1_base64="uGO1OtvS1TFMOZP4w/2evN7LdBg=">AAAB83icbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjoQU9SwX5AU8pmO2mXbjZhdyKW0L/hxYMiXv0z3vw3btsctPXBwOO9GWbmBYkUBl3321lb39jc2i7sFHf39g8OS0fHLROnmkOTxzLWnYAZkEJBEwVK6CQaWBRIaAfj+sxvP4I2IlYPOEmgF7GhEqHgDK3k+whPGITZTf1u2i+V3Yo7B10lXk7KJEejX/ryBzFPI1DIJTOm67kJ9jKmUXAJ06KfGkgYH7MhdC1VLALTy+Y3T+m5VQY0jLUthXSu/p7IWGTMJApsZ8RwZJa9mfif100xvO5lQiUpguKLRWEqKcZ0FgAdCA0c5cQSxrWwt1I+YppxtDEVbQje8surpFWteG7Fu78s16p5HAVySs7IBfHIFamRW9IgTcJJQp7JK3lzUufFeXc+Fq1rTj5zQv7A+fwBBYKRmw==</latexit><latexit sha1_base64="uGO1OtvS1TFMOZP4w/2evN7LdBg=">AAAB83icbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjoQU9SwX5AU8pmO2mXbjZhdyKW0L/hxYMiXv0z3vw3btsctPXBwOO9GWbmBYkUBl3321lb39jc2i7sFHf39g8OS0fHLROnmkOTxzLWnYAZkEJBEwVK6CQaWBRIaAfj+sxvP4I2IlYPOEmgF7GhEqHgDK3k+whPGITZTf1u2i+V3Yo7B10lXk7KJEejX/ryBzFPI1DIJTOm67kJ9jKmUXAJ06KfGkgYH7MhdC1VLALTy+Y3T+m5VQY0jLUthXSu/p7IWGTMJApsZ8RwZJa9mfif100xvO5lQiUpguKLRWEqKcZ0FgAdCA0c5cQSxrWwt1I+YppxtDEVbQje8surpFWteG7Fu78s16p5HAVySs7IBfHIFamRW9IgTcJJQp7JK3lzUufFeXc+Fq1rTj5zQv7A+fwBBYKRmw==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="PRGctaRY5jaczLpJWBEhQtJ+95E=">AAAB6HicbZBLS8NAFIVvfNZatbp1EyyCq5K40aXQha6kgn1AE8pketMOnUzCzI1YQv+GGxeK+Ivc+W+cPhbaemDg45wZ7p0TZVIY8rxvZ2Nza3tnt7RX3q8cHB5Vjyttk+aaY4unMtXdiBmUQmGLBEnsZhpZEknsROPGLO88oTYiVY80yTBM2FCJWHBG1goCwmeK4uK2cT/tV2te3ZvLXQd/CTVYqtmvfgWDlOcJKuKSGdPzvYzCgmkSXOK0HOQGM8bHbIg9i4olaMJivvPUPbfOwI1TbY8id+7+flGwxJhJEtmbCaORWc1m5n9ZL6f4OiyEynJCxReD4ly6lLqzAtyB0MhJTiwwroXd1eUjphknW1PZluCvfnkd2pd136v7Dx6U4BTO4AJ8uIIbuIMmtIBDBi/wBu9O7rw6H4u6NpxlbyfwR87nD8QSkE0=</latexit><latexit sha1_base64="PRGctaRY5jaczLpJWBEhQtJ+95E=">AAAB6HicbZBLS8NAFIVvfNZatbp1EyyCq5K40aXQha6kgn1AE8pketMOnUzCzI1YQv+GGxeK+Ivc+W+cPhbaemDg45wZ7p0TZVIY8rxvZ2Nza3tnt7RX3q8cHB5Vjyttk+aaY4unMtXdiBmUQmGLBEnsZhpZEknsROPGLO88oTYiVY80yTBM2FCJWHBG1goCwmeK4uK2cT/tV2te3ZvLXQd/CTVYqtmvfgWDlOcJKuKSGdPzvYzCgmkSXOK0HOQGM8bHbIg9i4olaMJivvPUPbfOwI1TbY8id+7+flGwxJhJEtmbCaORWc1m5n9ZL6f4OiyEynJCxReD4ly6lLqzAtyB0MhJTiwwroXd1eUjphknW1PZluCvfnkd2pd136v7Dx6U4BTO4AJ8uIIbuIMmtIBDBi/wBu9O7rw6H4u6NpxlbyfwR87nD8QSkE0=</latexit><latexit sha1_base64="hPMY3Y7Ckc0obQYLwOwOX7w3r80=">AAAB83icbVA9SwNBEN2LXzF+RS1tFoNgFe7SaBlIoZVEMB+QC2FvM5cs2ds7dufEcORv2FgoYuufsfPfuEmu0MQHA4/3ZpiZFyRSGHTdb6ewsbm1vVPcLe3tHxwelY9P2iZONYcWj2WsuwEzIIWCFgqU0E00sCiQ0AkmjbnfeQRtRKwecJpAP2IjJULBGVrJ9xGeMAizm8bdbFCuuFV3AbpOvJxUSI7moPzlD2OeRqCQS2ZMz3MT7GdMo+ASZiU/NZAwPmEj6FmqWASmny1untELqwxpGGtbCulC/T2RsciYaRTYzojh2Kx6c/E/r5dieN3PhEpSBMWXi8JUUozpPAA6FBo4yqkljGthb6V8zDTjaGMq2RC81ZfXSbtW9dyqd+9W6rU8jiI5I+fkknjkitTJLWmSFuEkIc/klbw5qfPivDsfy9aCk8+ckj9wPn8ABEKRlw==</latexit><latexit sha1_base64="uGO1OtvS1TFMOZP4w/2evN7LdBg=">AAAB83icbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjoQU9SwX5AU8pmO2mXbjZhdyKW0L/hxYMiXv0z3vw3btsctPXBwOO9GWbmBYkUBl3321lb39jc2i7sFHf39g8OS0fHLROnmkOTxzLWnYAZkEJBEwVK6CQaWBRIaAfj+sxvP4I2IlYPOEmgF7GhEqHgDK3k+whPGITZTf1u2i+V3Yo7B10lXk7KJEejX/ryBzFPI1DIJTOm67kJ9jKmUXAJ06KfGkgYH7MhdC1VLALTy+Y3T+m5VQY0jLUthXSu/p7IWGTMJApsZ8RwZJa9mfif100xvO5lQiUpguKLRWEqKcZ0FgAdCA0c5cQSxrWwt1I+YppxtDEVbQje8surpFWteG7Fu78s16p5HAVySs7IBfHIFamRW9IgTcJJQp7JK3lzUufFeXc+Fq1rTj5zQv7A+fwBBYKRmw==</latexit><latexit sha1_base64="uGO1OtvS1TFMOZP4w/2evN7LdBg=">AAAB83icbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjoQU9SwX5AU8pmO2mXbjZhdyKW0L/hxYMiXv0z3vw3btsctPXBwOO9GWbmBYkUBl3321lb39jc2i7sFHf39g8OS0fHLROnmkOTxzLWnYAZkEJBEwVK6CQaWBRIaAfj+sxvP4I2IlYPOEmgF7GhEqHgDK3k+whPGITZTf1u2i+V3Yo7B10lXk7KJEejX/ryBzFPI1DIJTOm67kJ9jKmUXAJ06KfGkgYH7MhdC1VLALTy+Y3T+m5VQY0jLUthXSu/p7IWGTMJApsZ8RwZJa9mfif100xvO5lQiUpguKLRWEqKcZ0FgAdCA0c5cQSxrWwt1I+YppxtDEVbQje8surpFWteG7Fu78s16p5HAVySs7IBfHIFamRW9IgTcJJQp7JK3lzUufFeXc+Fq1rTj5zQv7A+fwBBYKRmw==</latexit><latexit sha1_base64="uGO1OtvS1TFMOZP4w/2evN7LdBg=">AAAB83icbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjoQU9SwX5AU8pmO2mXbjZhdyKW0L/hxYMiXv0z3vw3btsctPXBwOO9GWbmBYkUBl3321lb39jc2i7sFHf39g8OS0fHLROnmkOTxzLWnYAZkEJBEwVK6CQaWBRIaAfj+sxvP4I2IlYPOEmgF7GhEqHgDK3k+whPGITZTf1u2i+V3Yo7B10lXk7KJEejX/ryBzFPI1DIJTOm67kJ9jKmUXAJ06KfGkgYH7MhdC1VLALTy+Y3T+m5VQY0jLUthXSu/p7IWGTMJApsZ8RwZJa9mfif100xvO5lQiUpguKLRWEqKcZ0FgAdCA0c5cQSxrWwt1I+YppxtDEVbQje8surpFWteG7Fu78s16p5HAVySs7IBfHIFamRW9IgTcJJQp7JK3lzUufFeXc+Fq1rTj5zQv7A+fwBBYKRmw==</latexit><latexit sha1_base64="uGO1OtvS1TFMOZP4w/2evN7LdBg=">AAAB83icbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjoQU9SwX5AU8pmO2mXbjZhdyKW0L/hxYMiXv0z3vw3btsctPXBwOO9GWbmBYkUBl3321lb39jc2i7sFHf39g8OS0fHLROnmkOTxzLWnYAZkEJBEwVK6CQaWBRIaAfj+sxvP4I2IlYPOEmgF7GhEqHgDK3k+whPGITZTf1u2i+V3Yo7B10lXk7KJEejX/ryBzFPI1DIJTOm67kJ9jKmUXAJ06KfGkgYH7MhdC1VLALTy+Y3T+m5VQY0jLUthXSu/p7IWGTMJApsZ8RwZJa9mfif100xvO5lQiUpguKLRWEqKcZ0FgAdCA0c5cQSxrWwt1I+YppxtDEVbQje8surpFWteG7Fu78s16p5HAVySs7IBfHIFamRW9IgTcJJQp7JK3lzUufFeXc+Fq1rTj5zQv7A+fwBBYKRmw==</latexit><latexit sha1_base64="uGO1OtvS1TFMOZP4w/2evN7LdBg=">AAAB83icbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjoQU9SwX5AU8pmO2mXbjZhdyKW0L/hxYMiXv0z3vw3btsctPXBwOO9GWbmBYkUBl3321lb39jc2i7sFHf39g8OS0fHLROnmkOTxzLWnYAZkEJBEwVK6CQaWBRIaAfj+sxvP4I2IlYPOEmgF7GhEqHgDK3k+whPGITZTf1u2i+V3Yo7B10lXk7KJEejX/ryBzFPI1DIJTOm67kJ9jKmUXAJ06KfGkgYH7MhdC1VLALTy+Y3T+m5VQY0jLUthXSu/p7IWGTMJApsZ8RwZJa9mfif100xvO5lQiUpguKLRWEqKcZ0FgAdCA0c5cQSxrWwt1I+YppxtDEVbQje8surpFWteG7Fu78s16p5HAVySs7IBfHIFamRW9IgTcJJQp7JK3lzUufFeXc+Fq1rTj5zQv7A+fwBBYKRmw==</latexit><latexit sha1_base64="uGO1OtvS1TFMOZP4w/2evN7LdBg=">AAAB83icbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjoQU9SwX5AU8pmO2mXbjZhdyKW0L/hxYMiXv0z3vw3btsctPXBwOO9GWbmBYkUBl3321lb39jc2i7sFHf39g8OS0fHLROnmkOTxzLWnYAZkEJBEwVK6CQaWBRIaAfj+sxvP4I2IlYPOEmgF7GhEqHgDK3k+whPGITZTf1u2i+V3Yo7B10lXk7KJEejX/ryBzFPI1DIJTOm67kJ9jKmUXAJ06KfGkgYH7MhdC1VLALTy+Y3T+m5VQY0jLUthXSu/p7IWGTMJApsZ8RwZJa9mfif100xvO5lQiUpguKLRWEqKcZ0FgAdCA0c5cQSxrWwt1I+YppxtDEVbQje8surpFWteG7Fu78s16p5HAVySs7IBfHIFamRW9IgTcJJQp7JK3lzUufFeXc+Fq1rTj5zQv7A+fwBBYKRmw==</latexit>

Input graph

Dense<latexit sha1_base64="tiuR31DKRrdg+ByeLCWMRQcR9Z8=">AAAB9XicbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjQg8cK9gPaWDbbSbt0swm7E7WE/g8vHhTx6n/x5r9x2+agrQ8GHu/NMDMvSKQw6Lrfzsrq2vrGZmGruL2zu7dfOjhsmjjVHBo8lrFuB8yAFAoaKFBCO9HAokBCKxhdTf3WA2gjYnWH4wT8iA2UCAVnaKX7LsITBmF2DcrApFcquxV3BrpMvJyUSY56r/TV7cc8jUAhl8yYjucm6GdMo+ASJsVuaiBhfMQG0LFUsQiMn82untBTq/RpGGtbCulM/T2RsciYcRTYzojh0Cx6U/E/r5NieOlnQiUpguLzRWEqKcZ0GgHtCw0c5dgSxrWwt1I+ZJpxtEEVbQje4svLpFmteG7Fuz0v16p5HAVyTE7IGfHIBamRG1InDcKJJs/klbw5j86L8+58zFtXnHzmiPyB8/kDAQ6Sxg==</latexit><latexit sha1_base64="tiuR31DKRrdg+ByeLCWMRQcR9Z8=">AAAB9XicbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjQg8cK9gPaWDbbSbt0swm7E7WE/g8vHhTx6n/x5r9x2+agrQ8GHu/NMDMvSKQw6Lrfzsrq2vrGZmGruL2zu7dfOjhsmjjVHBo8lrFuB8yAFAoaKFBCO9HAokBCKxhdTf3WA2gjYnWH4wT8iA2UCAVnaKX7LsITBmF2DcrApFcquxV3BrpMvJyUSY56r/TV7cc8jUAhl8yYjucm6GdMo+ASJsVuaiBhfMQG0LFUsQiMn82untBTq/RpGGtbCulM/T2RsciYcRTYzojh0Cx6U/E/r5NieOlnQiUpguLzRWEqKcZ0GgHtCw0c5dgSxrWwt1I+ZJpxtEEVbQje4svLpFmteG7Fuz0v16p5HAVyTE7IGfHIBamRG1InDcKJJs/klbw5j86L8+58zFtXnHzmiPyB8/kDAQ6Sxg==</latexit><latexit sha1_base64="tiuR31DKRrdg+ByeLCWMRQcR9Z8=">AAAB9XicbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjQg8cK9gPaWDbbSbt0swm7E7WE/g8vHhTx6n/x5r9x2+agrQ8GHu/NMDMvSKQw6Lrfzsrq2vrGZmGruL2zu7dfOjhsmjjVHBo8lrFuB8yAFAoaKFBCO9HAokBCKxhdTf3WA2gjYnWH4wT8iA2UCAVnaKX7LsITBmF2DcrApFcquxV3BrpMvJyUSY56r/TV7cc8jUAhl8yYjucm6GdMo+ASJsVuaiBhfMQG0LFUsQiMn82untBTq/RpGGtbCulM/T2RsciYcRTYzojh0Cx6U/E/r5NieOlnQiUpguLzRWEqKcZ0GgHtCw0c5dgSxrWwt1I+ZJpxtEEVbQje4svLpFmteG7Fuz0v16p5HAVyTE7IGfHIBamRG1InDcKJJs/klbw5j86L8+58zFtXnHzmiPyB8/kDAQ6Sxg==</latexit><latexit sha1_base64="tiuR31DKRrdg+ByeLCWMRQcR9Z8=">AAAB9XicbVBNS8NAEN34WetX1aOXxSJ4KkkR9FjQg8cK9gPaWDbbSbt0swm7E7WE/g8vHhTx6n/x5r9x2+agrQ8GHu/NMDMvSKQw6Lrfzsrq2vrGZmGruL2zu7dfOjhsmjjVHBo8lrFuB8yAFAoaKFBCO9HAokBCKxhdTf3WA2gjYnWH4wT8iA2UCAVnaKX7LsITBmF2DcrApFcquxV3BrpMvJyUSY56r/TV7cc8jUAhl8yYjucm6GdMo+ASJsVuaiBhfMQG0LFUsQiMn82untBTq/RpGGtbCulM/T2RsciYcRTYzojh0Cx6U/E/r5NieOlnQiUpguLzRWEqKcZ0GgHtCw0c5dgSxrWwt1I+ZJpxtEEVbQje4svLpFmteG7Fuz0v16p5HAVyTE7IGfHIBamRG1InDcKJJs/klbw5j86L8+58zFtXnHzmiPyB8/kDAQ6Sxg==</latexit>

ZVi

<latexit sha1_base64="zEKUOEVQ45Y3a5L6G6gFDFAnbXg=">AAACA3icbZDLSsNAFIZP6q3WW9SdboJFcFWSIuiy4MZlBXvBNobJdNIOnUzCzEQoIeDGV3HjQhG3voQ738ZJmoW2/jDw8Z9zmHN+P2ZUKtv+Niorq2vrG9XN2tb2zu6euX/QlVEiMOngiEWi7yNJGOWko6hipB8LgkKfkZ4/vcrrvQciJI34rZrFxA3RmNOAYqS05ZlHwxCpiR+kd9l9WjBGLO1mmUc9s2437ELWMjgl1KFU2zO/hqMIJyHhCjMk5cCxY+WmSCiKGclqw0SSGOEpGpOBRo5CIt20uCGzTrUzsoJI6MeVVbi/J1IUSjkLfd2ZbykXa7n5X22QqODSTSmPE0U4nn8UJMxSkZUHYo2oIFixmQaEBdW7WniCBMJKx1bTITiLJy9Dt9lw7IZzc15vNcs4qnAMJ3AGDlxAC66hDR3A8AjP8ApvxpPxYrwbH/PWilHOHMIfGZ8/FbyYYQ==</latexit><latexit sha1_base64="zEKUOEVQ45Y3a5L6G6gFDFAnbXg=">AAACA3icbZDLSsNAFIZP6q3WW9SdboJFcFWSIuiy4MZlBXvBNobJdNIOnUzCzEQoIeDGV3HjQhG3voQ738ZJmoW2/jDw8Z9zmHN+P2ZUKtv+Niorq2vrG9XN2tb2zu6euX/QlVEiMOngiEWi7yNJGOWko6hipB8LgkKfkZ4/vcrrvQciJI34rZrFxA3RmNOAYqS05ZlHwxCpiR+kd9l9WjBGLO1mmUc9s2437ELWMjgl1KFU2zO/hqMIJyHhCjMk5cCxY+WmSCiKGclqw0SSGOEpGpOBRo5CIt20uCGzTrUzsoJI6MeVVbi/J1IUSjkLfd2ZbykXa7n5X22QqODSTSmPE0U4nn8UJMxSkZUHYo2oIFixmQaEBdW7WniCBMJKx1bTITiLJy9Dt9lw7IZzc15vNcs4qnAMJ3AGDlxAC66hDR3A8AjP8ApvxpPxYrwbH/PWilHOHMIfGZ8/FbyYYQ==</latexit><latexit sha1_base64="zEKUOEVQ45Y3a5L6G6gFDFAnbXg=">AAACA3icbZDLSsNAFIZP6q3WW9SdboJFcFWSIuiy4MZlBXvBNobJdNIOnUzCzEQoIeDGV3HjQhG3voQ738ZJmoW2/jDw8Z9zmHN+P2ZUKtv+Niorq2vrG9XN2tb2zu6euX/QlVEiMOngiEWi7yNJGOWko6hipB8LgkKfkZ4/vcrrvQciJI34rZrFxA3RmNOAYqS05ZlHwxCpiR+kd9l9WjBGLO1mmUc9s2437ELWMjgl1KFU2zO/hqMIJyHhCjMk5cCxY+WmSCiKGclqw0SSGOEpGpOBRo5CIt20uCGzTrUzsoJI6MeVVbi/J1IUSjkLfd2ZbykXa7n5X22QqODSTSmPE0U4nn8UJMxSkZUHYo2oIFixmQaEBdW7WniCBMJKx1bTITiLJy9Dt9lw7IZzc15vNcs4qnAMJ3AGDlxAC66hDR3A8AjP8ApvxpPxYrwbH/PWilHOHMIfGZ8/FbyYYQ==</latexit><latexit sha1_base64="zEKUOEVQ45Y3a5L6G6gFDFAnbXg=">AAACA3icbZDLSsNAFIZP6q3WW9SdboJFcFWSIuiy4MZlBXvBNobJdNIOnUzCzEQoIeDGV3HjQhG3voQ738ZJmoW2/jDw8Z9zmHN+P2ZUKtv+Niorq2vrG9XN2tb2zu6euX/QlVEiMOngiEWi7yNJGOWko6hipB8LgkKfkZ4/vcrrvQciJI34rZrFxA3RmNOAYqS05ZlHwxCpiR+kd9l9WjBGLO1mmUc9s2437ELWMjgl1KFU2zO/hqMIJyHhCjMk5cCxY+WmSCiKGclqw0SSGOEpGpOBRo5CIt20uCGzTrUzsoJI6MeVVbi/J1IUSjkLfd2ZbykXa7n5X22QqODSTSmPE0U4nn8UJMxSkZUHYo2oIFixmQaEBdW7WniCBMJKx1bTITiLJy9Dt9lw7IZzc15vNcs4qnAMJ3AGDlxAC66hDR3A8AjP8ApvxpPxYrwbH/PWilHOHMIfGZ8/FbyYYQ==</latexit>

ZVj

<latexit sha1_base64="rSGlq/PaP4e+tROHPsy/rVHiJOA=">AAACA3icbZDLSsNAFIZP6q3WW9SdbgaL4KokIuiy4MZlBXvBNobJdNKOnVyYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vxZxJZVnfRmVpeWV1rbpe29jc2t4xd/c6MkoEoW0S8Uj0PCwpZyFtK6Y47cWC4sDjtOtNLvN694EKyaLwRk1j6gR4FDKfEay05ZoHgwCrseent9ldWjDBPO1kmXvvmnWrYRVCi2CXUIdSLdf8GgwjkgQ0VIRjKfu2FSsnxUIxwmlWGySSxphM8Ij2NYY4oNJJixsydKydIfIjoV+oUOH+nkhxIOU08HRnvqWcr+Xmf7V+ovwLJ2VhnCgaktlHfsKRilAeCBoyQYniUw2YCKZ3RWSMBSZKx1bTIdjzJy9C57RhWw37+qzePC3jqMIhHMEJ2HAOTbiCFrSBwCM8wyu8GU/Gi/FufMxaK0Y5sw9/ZHz+ABdAmGI=</latexit><latexit sha1_base64="rSGlq/PaP4e+tROHPsy/rVHiJOA=">AAACA3icbZDLSsNAFIZP6q3WW9SdbgaL4KokIuiy4MZlBXvBNobJdNKOnVyYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vxZxJZVnfRmVpeWV1rbpe29jc2t4xd/c6MkoEoW0S8Uj0PCwpZyFtK6Y47cWC4sDjtOtNLvN694EKyaLwRk1j6gR4FDKfEay05ZoHgwCrseent9ldWjDBPO1kmXvvmnWrYRVCi2CXUIdSLdf8GgwjkgQ0VIRjKfu2FSsnxUIxwmlWGySSxphM8Ij2NYY4oNJJixsydKydIfIjoV+oUOH+nkhxIOU08HRnvqWcr+Xmf7V+ovwLJ2VhnCgaktlHfsKRilAeCBoyQYniUw2YCKZ3RWSMBSZKx1bTIdjzJy9C57RhWw37+qzePC3jqMIhHMEJ2HAOTbiCFrSBwCM8wyu8GU/Gi/FufMxaK0Y5sw9/ZHz+ABdAmGI=</latexit><latexit sha1_base64="rSGlq/PaP4e+tROHPsy/rVHiJOA=">AAACA3icbZDLSsNAFIZP6q3WW9SdbgaL4KokIuiy4MZlBXvBNobJdNKOnVyYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vxZxJZVnfRmVpeWV1rbpe29jc2t4xd/c6MkoEoW0S8Uj0PCwpZyFtK6Y47cWC4sDjtOtNLvN694EKyaLwRk1j6gR4FDKfEay05ZoHgwCrseent9ldWjDBPO1kmXvvmnWrYRVCi2CXUIdSLdf8GgwjkgQ0VIRjKfu2FSsnxUIxwmlWGySSxphM8Ij2NYY4oNJJixsydKydIfIjoV+oUOH+nkhxIOU08HRnvqWcr+Xmf7V+ovwLJ2VhnCgaktlHfsKRilAeCBoyQYniUw2YCKZ3RWSMBSZKx1bTIdjzJy9C57RhWw37+qzePC3jqMIhHMEJ2HAOTbiCFrSBwCM8wyu8GU/Gi/FufMxaK0Y5sw9/ZHz+ABdAmGI=</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="fyz51btqTclkeJmh1yYEappEcKM=">AAAB+HicbZBPS8MwGMbfzn9zTq0e9RIcgqfRenFHwYvHCe4PbrWkWbrFpWlJUmGUghe/ihcPivhJvPltTLsddPOBwI/nScj7PkHCmdKO821V1tY3Nreq27Wd+u7evn1Q76o4lYR2SMxj2Q+wopwJ2tFMc9pPJMVRwGkvmF4Vee+RSsVicatnCfUiPBYsZARrY/n20TDCehKE2V1+n5VMMM+6ee4/+HbDaTql0Cq4C2jAQm3f/hqOYpJGVGjCsVID10m0l2GpGeE0rw1TRRNMpnhMBwYFjqjysnKHHJ0aZ4TCWJojNCrd3y8yHCk1iwJzs5hSLWeF+V82SHXY8jImklRTQeYfhSlHOkZFIWjEJCWazwxgIpmZFZEJlphoU1vNlOAur7wK3fOm6zTdGweqcAwncAYuXMAlXEMbOkDgCV7gDd6tZ+vV+pjXVbEWvR3CH1mfP44jlwQ=</latexit><latexit sha1_base64="fyz51btqTclkeJmh1yYEappEcKM=">AAAB+HicbZBPS8MwGMbfzn9zTq0e9RIcgqfRenFHwYvHCe4PbrWkWbrFpWlJUmGUghe/ihcPivhJvPltTLsddPOBwI/nScj7PkHCmdKO821V1tY3Nreq27Wd+u7evn1Q76o4lYR2SMxj2Q+wopwJ2tFMc9pPJMVRwGkvmF4Vee+RSsVicatnCfUiPBYsZARrY/n20TDCehKE2V1+n5VMMM+6ee4/+HbDaTql0Cq4C2jAQm3f/hqOYpJGVGjCsVID10m0l2GpGeE0rw1TRRNMpnhMBwYFjqjysnKHHJ0aZ4TCWJojNCrd3y8yHCk1iwJzs5hSLWeF+V82SHXY8jImklRTQeYfhSlHOkZFIWjEJCWazwxgIpmZFZEJlphoU1vNlOAur7wK3fOm6zTdGweqcAwncAYuXMAlXEMbOkDgCV7gDd6tZ+vV+pjXVbEWvR3CH1mfP44jlwQ=</latexit><latexit sha1_base64="hOgqL4rDsQILyO+QPdvm8UazrOg=">AAACA3icbZDLSsNAFIZP6q3WW9SdboJFcFWSbnRZcOOygr1gG8NkOmnHTiZhZiKUEHDjq7hxoYhbX8Kdb+MkzUJbfxj4+M85zDm/HzMqlW1/G5WV1bX1jepmbWt7Z3fP3D/oyigRmHRwxCLR95EkjHLSUVQx0o8FQaHPSM+fXub13gMRkkb8Rs1i4oZozGlAMVLa8syjYYjUxA/S2+wuLRgjlnazzLv3zLrdsAtZy+CUUIdSbc/8Go4inISEK8yQlAPHjpWbIqEoZiSrDRNJYoSnaEwGGjkKiXTT4obMOtXOyAoioR9XVuH+nkhRKOUs9HVnvqVcrOXmf7VBooILN6U8ThTheP5RkDBLRVYeiDWigmDFZhoQFlTvauEJEggrHVtNh+AsnrwM3WbDsRvOtV1vNcs4qnAMJ3AGDpxDC66gDR3A8AjP8ApvxpPxYrwbH/PWilHOHMIfGZ8/FgCYXg==</latexit><latexit sha1_base64="rSGlq/PaP4e+tROHPsy/rVHiJOA=">AAACA3icbZDLSsNAFIZP6q3WW9SdbgaL4KokIuiy4MZlBXvBNobJdNKOnVyYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vxZxJZVnfRmVpeWV1rbpe29jc2t4xd/c6MkoEoW0S8Uj0PCwpZyFtK6Y47cWC4sDjtOtNLvN694EKyaLwRk1j6gR4FDKfEay05ZoHgwCrseent9ldWjDBPO1kmXvvmnWrYRVCi2CXUIdSLdf8GgwjkgQ0VIRjKfu2FSsnxUIxwmlWGySSxphM8Ij2NYY4oNJJixsydKydIfIjoV+oUOH+nkhxIOU08HRnvqWcr+Xmf7V+ovwLJ2VhnCgaktlHfsKRilAeCBoyQYniUw2YCKZ3RWSMBSZKx1bTIdjzJy9C57RhWw37+qzePC3jqMIhHMEJ2HAOTbiCFrSBwCM8wyu8GU/Gi/FufMxaK0Y5sw9/ZHz+ABdAmGI=</latexit><latexit sha1_base64="rSGlq/PaP4e+tROHPsy/rVHiJOA=">AAACA3icbZDLSsNAFIZP6q3WW9SdbgaL4KokIuiy4MZlBXvBNobJdNKOnVyYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vxZxJZVnfRmVpeWV1rbpe29jc2t4xd/c6MkoEoW0S8Uj0PCwpZyFtK6Y47cWC4sDjtOtNLvN694EKyaLwRk1j6gR4FDKfEay05ZoHgwCrseent9ldWjDBPO1kmXvvmnWrYRVCi2CXUIdSLdf8GgwjkgQ0VIRjKfu2FSsnxUIxwmlWGySSxphM8Ij2NYY4oNJJixsydKydIfIjoV+oUOH+nkhxIOU08HRnvqWcr+Xmf7V+ovwLJ2VhnCgaktlHfsKRilAeCBoyQYniUw2YCKZ3RWSMBSZKx1bTIdjzJy9C57RhWw37+qzePC3jqMIhHMEJ2HAOTbiCFrSBwCM8wyu8GU/Gi/FufMxaK0Y5sw9/ZHz+ABdAmGI=</latexit><latexit sha1_base64="rSGlq/PaP4e+tROHPsy/rVHiJOA=">AAACA3icbZDLSsNAFIZP6q3WW9SdbgaL4KokIuiy4MZlBXvBNobJdNKOnVyYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vxZxJZVnfRmVpeWV1rbpe29jc2t4xd/c6MkoEoW0S8Uj0PCwpZyFtK6Y47cWC4sDjtOtNLvN694EKyaLwRk1j6gR4FDKfEay05ZoHgwCrseent9ldWjDBPO1kmXvvmnWrYRVCi2CXUIdSLdf8GgwjkgQ0VIRjKfu2FSsnxUIxwmlWGySSxphM8Ij2NYY4oNJJixsydKydIfIjoV+oUOH+nkhxIOU08HRnvqWcr+Xmf7V+ovwLJ2VhnCgaktlHfsKRilAeCBoyQYniUw2YCKZ3RWSMBSZKx1bTIdjzJy9C57RhWw37+qzePC3jqMIhHMEJ2HAOTbiCFrSBwCM8wyu8GU/Gi/FufMxaK0Y5sw9/ZHz+ABdAmGI=</latexit><latexit sha1_base64="rSGlq/PaP4e+tROHPsy/rVHiJOA=">AAACA3icbZDLSsNAFIZP6q3WW9SdbgaL4KokIuiy4MZlBXvBNobJdNKOnVyYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vxZxJZVnfRmVpeWV1rbpe29jc2t4xd/c6MkoEoW0S8Uj0PCwpZyFtK6Y47cWC4sDjtOtNLvN694EKyaLwRk1j6gR4FDKfEay05ZoHgwCrseent9ldWjDBPO1kmXvvmnWrYRVCi2CXUIdSLdf8GgwjkgQ0VIRjKfu2FSsnxUIxwmlWGySSxphM8Ij2NYY4oNJJixsydKydIfIjoV+oUOH+nkhxIOU08HRnvqWcr+Xmf7V+ovwLJ2VhnCgaktlHfsKRilAeCBoyQYniUw2YCKZ3RWSMBSZKx1bTIdjzJy9C57RhWw37+qzePC3jqMIhHMEJ2HAOTbiCFrSBwCM8wyu8GU/Gi/FufMxaK0Y5sw9/ZHz+ABdAmGI=</latexit><latexit sha1_base64="rSGlq/PaP4e+tROHPsy/rVHiJOA=">AAACA3icbZDLSsNAFIZP6q3WW9SdbgaL4KokIuiy4MZlBXvBNobJdNKOnVyYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vxZxJZVnfRmVpeWV1rbpe29jc2t4xd/c6MkoEoW0S8Uj0PCwpZyFtK6Y47cWC4sDjtOtNLvN694EKyaLwRk1j6gR4FDKfEay05ZoHgwCrseent9ldWjDBPO1kmXvvmnWrYRVCi2CXUIdSLdf8GgwjkgQ0VIRjKfu2FSsnxUIxwmlWGySSxphM8Ij2NYY4oNJJixsydKydIfIjoV+oUOH+nkhxIOU08HRnvqWcr+Xmf7V+ovwLJ2VhnCgaktlHfsKRilAeCBoyQYniUw2YCKZ3RWSMBSZKx1bTIdjzJy9C57RhWw37+qzePC3jqMIhHMEJ2HAOTbiCFrSBwCM8wyu8GU/Gi/FufMxaK0Y5sw9/ZHz+ABdAmGI=</latexit><latexit sha1_base64="rSGlq/PaP4e+tROHPsy/rVHiJOA=">AAACA3icbZDLSsNAFIZP6q3WW9SdbgaL4KokIuiy4MZlBXvBNobJdNKOnVyYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vxZxJZVnfRmVpeWV1rbpe29jc2t4xd/c6MkoEoW0S8Uj0PCwpZyFtK6Y47cWC4sDjtOtNLvN694EKyaLwRk1j6gR4FDKfEay05ZoHgwCrseent9ldWjDBPO1kmXvvmnWrYRVCi2CXUIdSLdf8GgwjkgQ0VIRjKfu2FSsnxUIxwmlWGySSxphM8Ij2NYY4oNJJixsydKydIfIjoV+oUOH+nkhxIOU08HRnvqWcr+Xmf7V+ovwLJ2VhnCgaktlHfsKRilAeCBoyQYniUw2YCKZ3RWSMBSZKx1bTIdjzJy9C57RhWw37+qzePC3jqMIhHMEJ2HAOTbiCFrSBwCM8wyu8GU/Gi/FufMxaK0Y5sw9/ZHz+ABdAmGI=</latexit>

ZAa

<latexit sha1_base64="BbYqhw99/LEhCTiVngBO5+4FDrw=">AAACA3icbZDLSsNAFIYnXmu9Rd3pJlgEVyUpgi4rblxWsBdsYziZTtqhk0mYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vx4xKZdvfxtLyyuraemWjurm1vbNr7u13ZJQITNo4YpHo+SAJo5y0FVWM9GJBIPQZ6fqTq7zefSBC0ojfqmlM3BBGnAYUg9KWZx4OQlBjP0jvsvu0YAwsvcwyDzyzZtftQtYiOCXUUKmWZ34NhhFOQsIVZiBl37Fj5aYgFMWMZNVBIkkMeAIj0tfIISTSTYsbMutEO0MriIR+XFmF+3sihVDKaejrznxLOV/Lzf9q/UQFF25KeZwowvHsoyBhloqsPBBrSAXBik01ABZU72rhMQjASsdW1SE48ycvQqdRd+y6c3NWazbKOCroCB2jU+Sgc9RE16iF2gijR/SMXtGb8WS8GO/Gx6x1yShnDtAfGZ8/6WWYRA==</latexit><latexit sha1_base64="BbYqhw99/LEhCTiVngBO5+4FDrw=">AAACA3icbZDLSsNAFIYnXmu9Rd3pJlgEVyUpgi4rblxWsBdsYziZTtqhk0mYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vx4xKZdvfxtLyyuraemWjurm1vbNr7u13ZJQITNo4YpHo+SAJo5y0FVWM9GJBIPQZ6fqTq7zefSBC0ojfqmlM3BBGnAYUg9KWZx4OQlBjP0jvsvu0YAwsvcwyDzyzZtftQtYiOCXUUKmWZ34NhhFOQsIVZiBl37Fj5aYgFMWMZNVBIkkMeAIj0tfIISTSTYsbMutEO0MriIR+XFmF+3sihVDKaejrznxLOV/Lzf9q/UQFF25KeZwowvHsoyBhloqsPBBrSAXBik01ABZU72rhMQjASsdW1SE48ycvQqdRd+y6c3NWazbKOCroCB2jU+Sgc9RE16iF2gijR/SMXtGb8WS8GO/Gx6x1yShnDtAfGZ8/6WWYRA==</latexit><latexit sha1_base64="BbYqhw99/LEhCTiVngBO5+4FDrw=">AAACA3icbZDLSsNAFIYnXmu9Rd3pJlgEVyUpgi4rblxWsBdsYziZTtqhk0mYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vx4xKZdvfxtLyyuraemWjurm1vbNr7u13ZJQITNo4YpHo+SAJo5y0FVWM9GJBIPQZ6fqTq7zefSBC0ojfqmlM3BBGnAYUg9KWZx4OQlBjP0jvsvu0YAwsvcwyDzyzZtftQtYiOCXUUKmWZ34NhhFOQsIVZiBl37Fj5aYgFMWMZNVBIkkMeAIj0tfIISTSTYsbMutEO0MriIR+XFmF+3sihVDKaejrznxLOV/Lzf9q/UQFF25KeZwowvHsoyBhloqsPBBrSAXBik01ABZU72rhMQjASsdW1SE48ycvQqdRd+y6c3NWazbKOCroCB2jU+Sgc9RE16iF2gijR/SMXtGb8WS8GO/Gx6x1yShnDtAfGZ8/6WWYRA==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="F9vBW/qszzAFDSZAhGFpEUBlp4c=">AAAB+HicbZDNSsNAFIVv/K21anWpm2ARXJXEjS4VNy4r2B9sY7iZTtqhk0mYmQglBNz4Km5cKOKTuPNtnKRdaOuBgY9zZph7T5BwprTjfFsrq2vrG5uVrep2bWd3r75f66g4lYS2Scxj2QtQUc4EbWumOe0lkmIUcNoNJtdF3n2kUrFY3OlpQr0IR4KFjKA2ll8/HESox0GY3ecPWckEeXaV5z769YbTdErZy+DOoQFztfz612AYkzSiQhOOSvVdJ9FehlIzwmleHaSKJkgmOKJ9gwIjqrys3CG3T4wztMNYmiO0Xbq/X2QYKTWNAnOzmFItZoX5X9ZPdXjhZUwkqaaCzD4KU27r2C4KsYdMUqL51AASycysNhmjRKJNbVVTgru48jJ0zpqu03RvHajAERzDKbhwDpdwAy1oA4EneIE3eLeerVfrY1bXijXv7QD+yPr8AWGhluY=</latexit><latexit sha1_base64="F9vBW/qszzAFDSZAhGFpEUBlp4c=">AAAB+HicbZDNSsNAFIVv/K21anWpm2ARXJXEjS4VNy4r2B9sY7iZTtqhk0mYmQglBNz4Km5cKOKTuPNtnKRdaOuBgY9zZph7T5BwprTjfFsrq2vrG5uVrep2bWd3r75f66g4lYS2Scxj2QtQUc4EbWumOe0lkmIUcNoNJtdF3n2kUrFY3OlpQr0IR4KFjKA2ll8/HESox0GY3ecPWckEeXaV5z769YbTdErZy+DOoQFztfz612AYkzSiQhOOSvVdJ9FehlIzwmleHaSKJkgmOKJ9gwIjqrys3CG3T4wztMNYmiO0Xbq/X2QYKTWNAnOzmFItZoX5X9ZPdXjhZUwkqaaCzD4KU27r2C4KsYdMUqL51AASycysNhmjRKJNbVVTgru48jJ0zpqu03RvHajAERzDKbhwDpdwAy1oA4EneIE3eLeerVfrY1bXijXv7QD+yPr8AWGhluY=</latexit><latexit sha1_base64="JDWu2eKoEjACSk2O56NNZL8+leQ=">AAACA3icbZDLSsNAFIZP6q3WW9SdboJFcFWSbnRZceOygr1gG8NkOmmHTiZhZiKUEHDjq7hxoYhbX8Kdb+MkzUJbfxj4+M85zDm/HzMqlW1/G5WV1bX1jepmbWt7Z3fP3D/oyigRmHRwxCLR95EkjHLSUVQx0o8FQaHPSM+fXuX13gMRkkb8Vs1i4oZozGlAMVLa8syjYYjUxA/Su+w+LRgjll5mmYc8s2437ELWMjgl1KFU2zO/hqMIJyHhCjMk5cCxY+WmSCiKGclqw0SSGOEpGpOBRo5CIt20uCGzTrUzsoJI6MeVVbi/J1IUSjkLfd2ZbykXa7n5X22QqODCTSmPE0U4nn8UJMxSkZUHYo2oIFixmQaEBdW7WniCBMJKx1bTITiLJy9Dt9lw7IZzY9dbzTKOKhzDCZyBA+fQgmtoQwcwPMIzvMKb8WS8GO/Gx7y1YpQzh/BHxucP6CWYQA==</latexit><latexit sha1_base64="BbYqhw99/LEhCTiVngBO5+4FDrw=">AAACA3icbZDLSsNAFIYnXmu9Rd3pJlgEVyUpgi4rblxWsBdsYziZTtqhk0mYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vx4xKZdvfxtLyyuraemWjurm1vbNr7u13ZJQITNo4YpHo+SAJo5y0FVWM9GJBIPQZ6fqTq7zefSBC0ojfqmlM3BBGnAYUg9KWZx4OQlBjP0jvsvu0YAwsvcwyDzyzZtftQtYiOCXUUKmWZ34NhhFOQsIVZiBl37Fj5aYgFMWMZNVBIkkMeAIj0tfIISTSTYsbMutEO0MriIR+XFmF+3sihVDKaejrznxLOV/Lzf9q/UQFF25KeZwowvHsoyBhloqsPBBrSAXBik01ABZU72rhMQjASsdW1SE48ycvQqdRd+y6c3NWazbKOCroCB2jU+Sgc9RE16iF2gijR/SMXtGb8WS8GO/Gx6x1yShnDtAfGZ8/6WWYRA==</latexit><latexit sha1_base64="BbYqhw99/LEhCTiVngBO5+4FDrw=">AAACA3icbZDLSsNAFIYnXmu9Rd3pJlgEVyUpgi4rblxWsBdsYziZTtqhk0mYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vx4xKZdvfxtLyyuraemWjurm1vbNr7u13ZJQITNo4YpHo+SAJo5y0FVWM9GJBIPQZ6fqTq7zefSBC0ojfqmlM3BBGnAYUg9KWZx4OQlBjP0jvsvu0YAwsvcwyDzyzZtftQtYiOCXUUKmWZ34NhhFOQsIVZiBl37Fj5aYgFMWMZNVBIkkMeAIj0tfIISTSTYsbMutEO0MriIR+XFmF+3sihVDKaejrznxLOV/Lzf9q/UQFF25KeZwowvHsoyBhloqsPBBrSAXBik01ABZU72rhMQjASsdW1SE48ycvQqdRd+y6c3NWazbKOCroCB2jU+Sgc9RE16iF2gijR/SMXtGb8WS8GO/Gx6x1yShnDtAfGZ8/6WWYRA==</latexit><latexit sha1_base64="BbYqhw99/LEhCTiVngBO5+4FDrw=">AAACA3icbZDLSsNAFIYnXmu9Rd3pJlgEVyUpgi4rblxWsBdsYziZTtqhk0mYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vx4xKZdvfxtLyyuraemWjurm1vbNr7u13ZJQITNo4YpHo+SAJo5y0FVWM9GJBIPQZ6fqTq7zefSBC0ojfqmlM3BBGnAYUg9KWZx4OQlBjP0jvsvu0YAwsvcwyDzyzZtftQtYiOCXUUKmWZ34NhhFOQsIVZiBl37Fj5aYgFMWMZNVBIkkMeAIj0tfIISTSTYsbMutEO0MriIR+XFmF+3sihVDKaejrznxLOV/Lzf9q/UQFF25KeZwowvHsoyBhloqsPBBrSAXBik01ABZU72rhMQjASsdW1SE48ycvQqdRd+y6c3NWazbKOCroCB2jU+Sgc9RE16iF2gijR/SMXtGb8WS8GO/Gx6x1yShnDtAfGZ8/6WWYRA==</latexit><latexit sha1_base64="BbYqhw99/LEhCTiVngBO5+4FDrw=">AAACA3icbZDLSsNAFIYnXmu9Rd3pJlgEVyUpgi4rblxWsBdsYziZTtqhk0mYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vx4xKZdvfxtLyyuraemWjurm1vbNr7u13ZJQITNo4YpHo+SAJo5y0FVWM9GJBIPQZ6fqTq7zefSBC0ojfqmlM3BBGnAYUg9KWZx4OQlBjP0jvsvu0YAwsvcwyDzyzZtftQtYiOCXUUKmWZ34NhhFOQsIVZiBl37Fj5aYgFMWMZNVBIkkMeAIj0tfIISTSTYsbMutEO0MriIR+XFmF+3sihVDKaejrznxLOV/Lzf9q/UQFF25KeZwowvHsoyBhloqsPBBrSAXBik01ABZU72rhMQjASsdW1SE48ycvQqdRd+y6c3NWazbKOCroCB2jU+Sgc9RE16iF2gijR/SMXtGb8WS8GO/Gx6x1yShnDtAfGZ8/6WWYRA==</latexit><latexit sha1_base64="BbYqhw99/LEhCTiVngBO5+4FDrw=">AAACA3icbZDLSsNAFIYnXmu9Rd3pJlgEVyUpgi4rblxWsBdsYziZTtqhk0mYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vx4xKZdvfxtLyyuraemWjurm1vbNr7u13ZJQITNo4YpHo+SAJo5y0FVWM9GJBIPQZ6fqTq7zefSBC0ojfqmlM3BBGnAYUg9KWZx4OQlBjP0jvsvu0YAwsvcwyDzyzZtftQtYiOCXUUKmWZ34NhhFOQsIVZiBl37Fj5aYgFMWMZNVBIkkMeAIj0tfIISTSTYsbMutEO0MriIR+XFmF+3sihVDKaejrznxLOV/Lzf9q/UQFF25KeZwowvHsoyBhloqsPBBrSAXBik01ABZU72rhMQjASsdW1SE48ycvQqdRd+y6c3NWazbKOCroCB2jU+Sgc9RE16iF2gijR/SMXtGb8WS8GO/Gx6x1yShnDtAfGZ8/6WWYRA==</latexit><latexit sha1_base64="BbYqhw99/LEhCTiVngBO5+4FDrw=">AAACA3icbZDLSsNAFIYnXmu9Rd3pJlgEVyUpgi4rblxWsBdsYziZTtqhk0mYmQglBNz4Km5cKOLWl3Dn2zhJs9DWHwY+/nMOc87vx4xKZdvfxtLyyuraemWjurm1vbNr7u13ZJQITNo4YpHo+SAJo5y0FVWM9GJBIPQZ6fqTq7zefSBC0ojfqmlM3BBGnAYUg9KWZx4OQlBjP0jvsvu0YAwsvcwyDzyzZtftQtYiOCXUUKmWZ34NhhFOQsIVZiBl37Fj5aYgFMWMZNVBIkkMeAIj0tfIISTSTYsbMutEO0MriIR+XFmF+3sihVDKaejrznxLOV/Lzf9q/UQFF25KeZwowvHsoyBhloqsPBBrSAXBik01ABZU72rhMQjASsdW1SE48ycvQqdRd+y6c3NWazbKOCroCB2jU+Sgc9RE16iF2gijR/SMXtGb8WS8GO/Gx6x1yShnDtAfGZ8/6WWYRA==</latexit>

[µVi,�Vi ]

<latexit sha1_base64="vgpkf9DG2XhPxQpRjrPCfayK58U=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wHtKWkabqFJWlJUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343axubW9k59t7G3f3B4ZB6f9GWSCYR7KKGJGIZQYko47imiKB6mAkMWUjwIJ3dlf/CMhSQJf1LTFPsMjjiJCYJKU4F573phQiM5ZfrJPZYVgb6hGiNI834RkOJqSSDJiME1jR+YTbtlz8taB04FmqCqbmDOvChBGcNcIQqldB07VX4OhSKI4qLhZRKnEE3gCLsacsiw9PP5voV1oZnIihOhD1fWnP07kUMmS8NaWdqUq72S/K/nZiq+9XPC00xhjhYfxRm1VGKV4VkRERgpOtUAIkG0VwuNoYBI6YgbOgRndeV10G+3HLvlPF43O+0qjjo4A+fgEjjgBnTAA+iCHkDgBczAB/g0Xo0348v4XkhrRjVzCpbK+PkFadesQg==</latexit><latexit sha1_base64="vgpkf9DG2XhPxQpRjrPCfayK58U=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wHtKWkabqFJWlJUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343axubW9k59t7G3f3B4ZB6f9GWSCYR7KKGJGIZQYko47imiKB6mAkMWUjwIJ3dlf/CMhSQJf1LTFPsMjjiJCYJKU4F573phQiM5ZfrJPZYVgb6hGiNI834RkOJqSSDJiME1jR+YTbtlz8taB04FmqCqbmDOvChBGcNcIQqldB07VX4OhSKI4qLhZRKnEE3gCLsacsiw9PP5voV1oZnIihOhD1fWnP07kUMmS8NaWdqUq72S/K/nZiq+9XPC00xhjhYfxRm1VGKV4VkRERgpOtUAIkG0VwuNoYBI6YgbOgRndeV10G+3HLvlPF43O+0qjjo4A+fgEjjgBnTAA+iCHkDgBczAB/g0Xo0348v4XkhrRjVzCpbK+PkFadesQg==</latexit><latexit sha1_base64="vgpkf9DG2XhPxQpRjrPCfayK58U=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wHtKWkabqFJWlJUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343axubW9k59t7G3f3B4ZB6f9GWSCYR7KKGJGIZQYko47imiKB6mAkMWUjwIJ3dlf/CMhSQJf1LTFPsMjjiJCYJKU4F573phQiM5ZfrJPZYVgb6hGiNI834RkOJqSSDJiME1jR+YTbtlz8taB04FmqCqbmDOvChBGcNcIQqldB07VX4OhSKI4qLhZRKnEE3gCLsacsiw9PP5voV1oZnIihOhD1fWnP07kUMmS8NaWdqUq72S/K/nZiq+9XPC00xhjhYfxRm1VGKV4VkRERgpOtUAIkG0VwuNoYBI6YgbOgRndeV10G+3HLvlPF43O+0qjjo4A+fgEjjgBnTAA+iCHkDgBczAB/g0Xo0348v4XkhrRjVzCpbK+PkFadesQg==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="OvCddAmAT58epWevIXs1KvTb50c=">AAACJHicbVBdS8MwFL2dX3NOrb76UhyCDzJaX/RREMTHCe4DulLSNN3CkrQkqTBK/5Ev/pW9iCjiTzHd9uA2DyQ5nHMvufdEGaNKu+6HVdva3tndq+83DpqHR8f2SbOn0lxi0sUpS+UgQoowKkhXU83IIJME8YiRfjS5r/z+C5GKpuJZTzMScDQSNKEYaSOF9oM/jFIWqyk3TzHkeRmaG+kxRqzolSEtr1YKFB1xtFEThHbLbbtzOJvEW5IWLNEJ7dkwTnHOidCYIaV8z810UCCpKWakbAxzRTKEJ2hEfEMF4kQFxXzf0rkwSuwkqTRHaGeu/u0oEFfVwKayGlOte5X4n+fnOrkNCiqyXBOBFx8lOXN06lThOTGVBGs2NQRhSc2sDh4jibA2ETdMCN76ypukd9323Lb35EIdzuAcLsGDG7iDR+hAFzC8wgw+4ct6s96t70VcNWuZ2ymswPr5BQ4Cqrg=</latexit><latexit sha1_base64="OvCddAmAT58epWevIXs1KvTb50c=">AAACJHicbVBdS8MwFL2dX3NOrb76UhyCDzJaX/RREMTHCe4DulLSNN3CkrQkqTBK/5Ev/pW9iCjiTzHd9uA2DyQ5nHMvufdEGaNKu+6HVdva3tndq+83DpqHR8f2SbOn0lxi0sUpS+UgQoowKkhXU83IIJME8YiRfjS5r/z+C5GKpuJZTzMScDQSNKEYaSOF9oM/jFIWqyk3TzHkeRmaG+kxRqzolSEtr1YKFB1xtFEThHbLbbtzOJvEW5IWLNEJ7dkwTnHOidCYIaV8z810UCCpKWakbAxzRTKEJ2hEfEMF4kQFxXzf0rkwSuwkqTRHaGeu/u0oEFfVwKayGlOte5X4n+fnOrkNCiqyXBOBFx8lOXN06lThOTGVBGs2NQRhSc2sDh4jibA2ETdMCN76ypukd9323Lb35EIdzuAcLsGDG7iDR+hAFzC8wgw+4ct6s96t70VcNWuZ2ymswPr5BQ4Cqrg=</latexit><latexit sha1_base64="QsHsUXmE55N4koMBA0pRndx7LYY=">AAACL3icbVDLSsNAFJ34rPUVdekmWAQXUpJudFkQxGUF+4AkhMlk0g6dR5iZCCXkj9z4K92IKOLWv3DSdmFbL8zM4dxzmXNPnFGitOu+WxubW9s7u7W9+v7B4dGxfXLaUyKXCHeRoEIOYqgwJRx3NdEUDzKJIYsp7sfju6rff8ZSEcGf9CTDIYNDTlKCoDZUZN/7QSxooibMPEXA8jIyN9QjBGnRKyNSXi8JFBkyuKYJI7vhNt1ZOevAW4AGWFQnsqdBIlDOMNeIQqV8z810WECpCaK4rAe5whlEYzjEvoEcMqzCYrZv6VwaJnFSIc3h2pmxfycKyFRl2Cgrm2q1V5H/9fxcp7dhQXiWa8zR/KM0p44WThWekxCJkaYTAyCSxHh10AhKiLSJuG5C8FZXXge9VtNzm96j22i3FnHUwDm4AFfAAzegDR5AB3QBAi9gCj7Ap/VqvVlf1vdcumEtZs7AUlk/v2iXrD4=</latexit><latexit sha1_base64="vgpkf9DG2XhPxQpRjrPCfayK58U=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wHtKWkabqFJWlJUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343axubW9k59t7G3f3B4ZB6f9GWSCYR7KKGJGIZQYko47imiKB6mAkMWUjwIJ3dlf/CMhSQJf1LTFPsMjjiJCYJKU4F573phQiM5ZfrJPZYVgb6hGiNI834RkOJqSSDJiME1jR+YTbtlz8taB04FmqCqbmDOvChBGcNcIQqldB07VX4OhSKI4qLhZRKnEE3gCLsacsiw9PP5voV1oZnIihOhD1fWnP07kUMmS8NaWdqUq72S/K/nZiq+9XPC00xhjhYfxRm1VGKV4VkRERgpOtUAIkG0VwuNoYBI6YgbOgRndeV10G+3HLvlPF43O+0qjjo4A+fgEjjgBnTAA+iCHkDgBczAB/g0Xo0348v4XkhrRjVzCpbK+PkFadesQg==</latexit><latexit sha1_base64="vgpkf9DG2XhPxQpRjrPCfayK58U=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wHtKWkabqFJWlJUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343axubW9k59t7G3f3B4ZB6f9GWSCYR7KKGJGIZQYko47imiKB6mAkMWUjwIJ3dlf/CMhSQJf1LTFPsMjjiJCYJKU4F573phQiM5ZfrJPZYVgb6hGiNI834RkOJqSSDJiME1jR+YTbtlz8taB04FmqCqbmDOvChBGcNcIQqldB07VX4OhSKI4qLhZRKnEE3gCLsacsiw9PP5voV1oZnIihOhD1fWnP07kUMmS8NaWdqUq72S/K/nZiq+9XPC00xhjhYfxRm1VGKV4VkRERgpOtUAIkG0VwuNoYBI6YgbOgRndeV10G+3HLvlPF43O+0qjjo4A+fgEjjgBnTAA+iCHkDgBczAB/g0Xo0348v4XkhrRjVzCpbK+PkFadesQg==</latexit><latexit sha1_base64="vgpkf9DG2XhPxQpRjrPCfayK58U=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wHtKWkabqFJWlJUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343axubW9k59t7G3f3B4ZB6f9GWSCYR7KKGJGIZQYko47imiKB6mAkMWUjwIJ3dlf/CMhSQJf1LTFPsMjjiJCYJKU4F573phQiM5ZfrJPZYVgb6hGiNI834RkOJqSSDJiME1jR+YTbtlz8taB04FmqCqbmDOvChBGcNcIQqldB07VX4OhSKI4qLhZRKnEE3gCLsacsiw9PP5voV1oZnIihOhD1fWnP07kUMmS8NaWdqUq72S/K/nZiq+9XPC00xhjhYfxRm1VGKV4VkRERgpOtUAIkG0VwuNoYBI6YgbOgRndeV10G+3HLvlPF43O+0qjjo4A+fgEjjgBnTAA+iCHkDgBczAB/g0Xo0348v4XkhrRjVzCpbK+PkFadesQg==</latexit><latexit sha1_base64="vgpkf9DG2XhPxQpRjrPCfayK58U=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wHtKWkabqFJWlJUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343axubW9k59t7G3f3B4ZB6f9GWSCYR7KKGJGIZQYko47imiKB6mAkMWUjwIJ3dlf/CMhSQJf1LTFPsMjjiJCYJKU4F573phQiM5ZfrJPZYVgb6hGiNI834RkOJqSSDJiME1jR+YTbtlz8taB04FmqCqbmDOvChBGcNcIQqldB07VX4OhSKI4qLhZRKnEE3gCLsacsiw9PP5voV1oZnIihOhD1fWnP07kUMmS8NaWdqUq72S/K/nZiq+9XPC00xhjhYfxRm1VGKV4VkRERgpOtUAIkG0VwuNoYBI6YgbOgRndeV10G+3HLvlPF43O+0qjjo4A+fgEjjgBnTAA+iCHkDgBczAB/g0Xo0348v4XkhrRjVzCpbK+PkFadesQg==</latexit><latexit sha1_base64="vgpkf9DG2XhPxQpRjrPCfayK58U=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wHtKWkabqFJWlJUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343axubW9k59t7G3f3B4ZB6f9GWSCYR7KKGJGIZQYko47imiKB6mAkMWUjwIJ3dlf/CMhSQJf1LTFPsMjjiJCYJKU4F573phQiM5ZfrJPZYVgb6hGiNI834RkOJqSSDJiME1jR+YTbtlz8taB04FmqCqbmDOvChBGcNcIQqldB07VX4OhSKI4qLhZRKnEE3gCLsacsiw9PP5voV1oZnIihOhD1fWnP07kUMmS8NaWdqUq72S/K/nZiq+9XPC00xhjhYfxRm1VGKV4VkRERgpOtUAIkG0VwuNoYBI6YgbOgRndeV10G+3HLvlPF43O+0qjjo4A+fgEjjgBnTAA+iCHkDgBczAB/g0Xo0348v4XkhrRjVzCpbK+PkFadesQg==</latexit><latexit sha1_base64="vgpkf9DG2XhPxQpRjrPCfayK58U=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wHtKWkabqFJWlJUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343axubW9k59t7G3f3B4ZB6f9GWSCYR7KKGJGIZQYko47imiKB6mAkMWUjwIJ3dlf/CMhSQJf1LTFPsMjjiJCYJKU4F573phQiM5ZfrJPZYVgb6hGiNI834RkOJqSSDJiME1jR+YTbtlz8taB04FmqCqbmDOvChBGcNcIQqldB07VX4OhSKI4qLhZRKnEE3gCLsacsiw9PP5voV1oZnIihOhD1fWnP07kUMmS8NaWdqUq72S/K/nZiq+9XPC00xhjhYfxRm1VGKV4VkRERgpOtUAIkG0VwuNoYBI6YgbOgRndeV10G+3HLvlPF43O+0qjjo4A+fgEjjgBnTAA+iCHkDgBczAB/g0Xo0348v4XkhrRjVzCpbK+PkFadesQg==</latexit>

[µVj,�Vj ]

<latexit sha1_base64="unNBngJTmtH71AQf1GNB8krQgl4=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wmtKWkabrFJU1JUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343a2vrG5lZ9u7Gzu7d/YB4e9SXPBMI9xCkXjyGUmJIE9xRRFD+mAkMWUjwIxzdlf/CMhSQ8eVCTFPsMDhMSEwSVpgLz1vVCTiM5YfrJPZYVgb6hGiFI834RPBUXCwJJhgyuaPzAbNote1bWKnAq0ARVdQNz6kUcZQwnClEopevYqfJzKBRBFBcNL5M4hWgMh9jVMIEMSz+f7VtYZ5qJrJgLfRJlzdi/EzlksjSslaVNudwryf96bqbiaz8nSZopnKD5R3FGLcWtMjwrIgIjRScaQCSI9mqhERQQKR1xQ4fgLK+8CvrtlmO3nPvLZqddxVEHJ+AUnAMHXIEOuANd0AMIvIAp+ACfxqvxZnwZ33NpzahmjsFCGT+/bQesRA==</latexit><latexit sha1_base64="unNBngJTmtH71AQf1GNB8krQgl4=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wmtKWkabrFJU1JUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343a2vrG5lZ9u7Gzu7d/YB4e9SXPBMI9xCkXjyGUmJIE9xRRFD+mAkMWUjwIxzdlf/CMhSQ8eVCTFPsMDhMSEwSVpgLz1vVCTiM5YfrJPZYVgb6hGiFI834RPBUXCwJJhgyuaPzAbNote1bWKnAq0ARVdQNz6kUcZQwnClEopevYqfJzKBRBFBcNL5M4hWgMh9jVMIEMSz+f7VtYZ5qJrJgLfRJlzdi/EzlksjSslaVNudwryf96bqbiaz8nSZopnKD5R3FGLcWtMjwrIgIjRScaQCSI9mqhERQQKR1xQ4fgLK+8CvrtlmO3nPvLZqddxVEHJ+AUnAMHXIEOuANd0AMIvIAp+ACfxqvxZnwZ33NpzahmjsFCGT+/bQesRA==</latexit><latexit sha1_base64="unNBngJTmtH71AQf1GNB8krQgl4=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wmtKWkabrFJU1JUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343a2vrG5lZ9u7Gzu7d/YB4e9SXPBMI9xCkXjyGUmJIE9xRRFD+mAkMWUjwIxzdlf/CMhSQ8eVCTFPsMDhMSEwSVpgLz1vVCTiM5YfrJPZYVgb6hGiFI834RPBUXCwJJhgyuaPzAbNote1bWKnAq0ARVdQNz6kUcZQwnClEopevYqfJzKBRBFBcNL5M4hWgMh9jVMIEMSz+f7VtYZ5qJrJgLfRJlzdi/EzlksjSslaVNudwryf96bqbiaz8nSZopnKD5R3FGLcWtMjwrIgIjRScaQCSI9mqhERQQKR1xQ4fgLK+8CvrtlmO3nPvLZqddxVEHJ+AUnAMHXIEOuANd0AMIvIAp+ACfxqvxZnwZ33NpzahmjsFCGT+/bQesRA==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="HVruMN3tiqkAhT5C15vfHKr5Y/M=">AAACJHicbVBdS8MwFL31c86p1VdfgkPwQUbriz4Kgvg4wX1AV0qapltcmpYkFUbpP/LFv7IXEUX8KabbHtzmgSSHc+4l954w40xpx/mwNja3tnd2a3v1/cbB4ZF93OiqNJeEdkjKU9kPsaKcCdrRTHPazyTFSchpLxzfVX7vhUrFUvGkJxn1EzwULGYEayMF9r03CFMeqUlinmKQ5GVgbqxHBPOiWwbP5eVSgWLDBK/V+IHddFrODGiduAvShAXagT0dRCnJEyo04Vgpz3Uy7RdYakY4LeuDXNEMkzEeUs9QgROq/GK2b4nOjRKhOJXmCI1m6t+OAieqGthUVmOqVa8S//O8XMc3fsFElmsqyPyjOOdIp6gKD0VMUqL5xBBMJDOzIjLCEhNtIq6bENzVlddJ96rlOi330YEanMIZXIAL13ALD9CGDhB4hSl8wpf1Zr1b3/O4NqxFbiewBOvnFxEcqro=</latexit><latexit sha1_base64="HVruMN3tiqkAhT5C15vfHKr5Y/M=">AAACJHicbVBdS8MwFL31c86p1VdfgkPwQUbriz4Kgvg4wX1AV0qapltcmpYkFUbpP/LFv7IXEUX8KabbHtzmgSSHc+4l954w40xpx/mwNja3tnd2a3v1/cbB4ZF93OiqNJeEdkjKU9kPsaKcCdrRTHPazyTFSchpLxzfVX7vhUrFUvGkJxn1EzwULGYEayMF9r03CFMeqUlinmKQ5GVgbqxHBPOiWwbP5eVSgWLDBK/V+IHddFrODGiduAvShAXagT0dRCnJEyo04Vgpz3Uy7RdYakY4LeuDXNEMkzEeUs9QgROq/GK2b4nOjRKhOJXmCI1m6t+OAieqGthUVmOqVa8S//O8XMc3fsFElmsqyPyjOOdIp6gKD0VMUqL5xBBMJDOzIjLCEhNtIq6bENzVlddJ96rlOi330YEanMIZXIAL13ALD9CGDhB4hSl8wpf1Zr1b3/O4NqxFbiewBOvnFxEcqro=</latexit><latexit sha1_base64="h7j8F7GC4CVG7g2K/SVQ+I0pYpY=">AAACL3icbVBNS8MwGE7n15xfVY9egkPwIKPdRY8DQTxOcB/QlpKm6RaXNiVJhVH6j7z4V3YRUcSr/8J068FtvpDk4XmflzzvE6SMSmVZ70ZtY3Nre6e+29jbPzg8Mo9P+pJnApMe5oyLYYAkYTQhPUUVI8NUEBQHjAyCyW3ZHzwTISlPHtU0JV6MRgmNKEZKU75557gBZ6GcxvrJ3TgrfH0jNcaI5f3CfyqulgSSjmK0pvF8s2m1rHnBdWBXoAmq6vrmzA05zmKSKMyQlI5tpcrLkVAUM1I03EySFOEJGhFHwwTFRHr5fN8CXmgmhBEX+iQKztm/EzmKZWlYK0ubcrVXkv/1nExFN15OkzRTJMGLj6KMQcVhGR4MqSBYsakGCAuqvUI8RgJhpSNu6BDs1ZXXQb/dsq2W/WA1O+0qjjo4A+fgEtjgGnTAPeiCHsDgBczAB/g0Xo0348v4XkhrRjVzCpbK+PkFa8esQA==</latexit><latexit sha1_base64="unNBngJTmtH71AQf1GNB8krQgl4=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wmtKWkabrFJU1JUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343a2vrG5lZ9u7Gzu7d/YB4e9SXPBMI9xCkXjyGUmJIE9xRRFD+mAkMWUjwIxzdlf/CMhSQ8eVCTFPsMDhMSEwSVpgLz1vVCTiM5YfrJPZYVgb6hGiFI834RPBUXCwJJhgyuaPzAbNote1bWKnAq0ARVdQNz6kUcZQwnClEopevYqfJzKBRBFBcNL5M4hWgMh9jVMIEMSz+f7VtYZ5qJrJgLfRJlzdi/EzlksjSslaVNudwryf96bqbiaz8nSZopnKD5R3FGLcWtMjwrIgIjRScaQCSI9mqhERQQKR1xQ4fgLK+8CvrtlmO3nPvLZqddxVEHJ+AUnAMHXIEOuANd0AMIvIAp+ACfxqvxZnwZ33NpzahmjsFCGT+/bQesRA==</latexit><latexit sha1_base64="unNBngJTmtH71AQf1GNB8krQgl4=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wmtKWkabrFJU1JUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343a2vrG5lZ9u7Gzu7d/YB4e9SXPBMI9xCkXjyGUmJIE9xRRFD+mAkMWUjwIxzdlf/CMhSQ8eVCTFPsMDhMSEwSVpgLz1vVCTiM5YfrJPZYVgb6hGiFI834RPBUXCwJJhgyuaPzAbNote1bWKnAq0ARVdQNz6kUcZQwnClEopevYqfJzKBRBFBcNL5M4hWgMh9jVMIEMSz+f7VtYZ5qJrJgLfRJlzdi/EzlksjSslaVNudwryf96bqbiaz8nSZopnKD5R3FGLcWtMjwrIgIjRScaQCSI9mqhERQQKR1xQ4fgLK+8CvrtlmO3nPvLZqddxVEHJ+AUnAMHXIEOuANd0AMIvIAp+ACfxqvxZnwZ33NpzahmjsFCGT+/bQesRA==</latexit><latexit sha1_base64="unNBngJTmtH71AQf1GNB8krQgl4=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wmtKWkabrFJU1JUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343a2vrG5lZ9u7Gzu7d/YB4e9SXPBMI9xCkXjyGUmJIE9xRRFD+mAkMWUjwIxzdlf/CMhSQ8eVCTFPsMDhMSEwSVpgLz1vVCTiM5YfrJPZYVgb6hGiFI834RPBUXCwJJhgyuaPzAbNote1bWKnAq0ARVdQNz6kUcZQwnClEopevYqfJzKBRBFBcNL5M4hWgMh9jVMIEMSz+f7VtYZ5qJrJgLfRJlzdi/EzlksjSslaVNudwryf96bqbiaz8nSZopnKD5R3FGLcWtMjwrIgIjRScaQCSI9mqhERQQKR1xQ4fgLK+8CvrtlmO3nPvLZqddxVEHJ+AUnAMHXIEOuANd0AMIvIAp+ACfxqvxZnwZ33NpzahmjsFCGT+/bQesRA==</latexit><latexit sha1_base64="unNBngJTmtH71AQf1GNB8krQgl4=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wmtKWkabrFJU1JUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343a2vrG5lZ9u7Gzu7d/YB4e9SXPBMI9xCkXjyGUmJIE9xRRFD+mAkMWUjwIxzdlf/CMhSQ8eVCTFPsMDhMSEwSVpgLz1vVCTiM5YfrJPZYVgb6hGiFI834RPBUXCwJJhgyuaPzAbNote1bWKnAq0ARVdQNz6kUcZQwnClEopevYqfJzKBRBFBcNL5M4hWgMh9jVMIEMSz+f7VtYZ5qJrJgLfRJlzdi/EzlksjSslaVNudwryf96bqbiaz8nSZopnKD5R3FGLcWtMjwrIgIjRScaQCSI9mqhERQQKR1xQ4fgLK+8CvrtlmO3nPvLZqddxVEHJ+AUnAMHXIEOuANd0AMIvIAp+ACfxqvxZnwZ33NpzahmjsFCGT+/bQesRA==</latexit><latexit sha1_base64="unNBngJTmtH71AQf1GNB8krQgl4=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wmtKWkabrFJU1JUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343a2vrG5lZ9u7Gzu7d/YB4e9SXPBMI9xCkXjyGUmJIE9xRRFD+mAkMWUjwIxzdlf/CMhSQ8eVCTFPsMDhMSEwSVpgLz1vVCTiM5YfrJPZYVgb6hGiFI834RPBUXCwJJhgyuaPzAbNote1bWKnAq0ARVdQNz6kUcZQwnClEopevYqfJzKBRBFBcNL5M4hWgMh9jVMIEMSz+f7VtYZ5qJrJgLfRJlzdi/EzlksjSslaVNudwryf96bqbiaz8nSZopnKD5R3FGLcWtMjwrIgIjRScaQCSI9mqhERQQKR1xQ4fgLK+8CvrtlmO3nPvLZqddxVEHJ+AUnAMHXIEOuANd0AMIvIAp+ACfxqvxZnwZ33NpzahmjsFCGT+/bQesRA==</latexit><latexit sha1_base64="unNBngJTmtH71AQf1GNB8krQgl4=">AAACL3icbVBdS8MwFE3n15xfVR99KQ7BBxntEPRxIIiPE9wmtKWkabrFJU1JUmGU/iNf/Ct7EVHEV/+F6dYHt3khyeHcc8m5J0wpkcq2343a2vrG5lZ9u7Gzu7d/YB4e9SXPBMI9xCkXjyGUmJIE9xRRFD+mAkMWUjwIxzdlf/CMhSQ8eVCTFPsMDhMSEwSVpgLz1vVCTiM5YfrJPZYVgb6hGiFI834RPBUXCwJJhgyuaPzAbNote1bWKnAq0ARVdQNz6kUcZQwnClEopevYqfJzKBRBFBcNL5M4hWgMh9jVMIEMSz+f7VtYZ5qJrJgLfRJlzdi/EzlksjSslaVNudwryf96bqbiaz8nSZopnKD5R3FGLcWtMjwrIgIjRScaQCSI9mqhERQQKR1xQ4fgLK+8CvrtlmO3nPvLZqddxVEHJ+AUnAMHXIEOuANd0AMIvIAp+ACfxqvxZnwZ33NpzahmjsFCGT+/bQesRA==</latexit>

g✓<latexit sha1_base64="eU6ryvJCxt1Mol9QbOIg7xr3vSk=">AAAB73icbVBNS8NAEJ3Ur1q/qh69BIvgqSRF0GPBi8cK9gPaUDbbabt0s4m7E6GE/gkvHhTx6t/x5r9x2+agrQ8GHu/NMDMvTKQw5HnfTmFjc2t7p7hb2ts/ODwqH5+0TJxqjk0ey1h3QmZQCoVNEiSxk2hkUSixHU5u5377CbURsXqgaYJBxEZKDAVnZKXOqN+jMRLrlyte1VvAXSd+TiqQo9Evf/UGMU8jVMQlM6brewkFGdMkuMRZqZcaTBifsBF2LVUsQhNki3tn7oVVBu4w1rYUuQv190TGImOmUWg7I0Zjs+rNxf+8bkrDmyATKkkJFV8uGqbSpdidP+8OhEZOcmoJ41rYW10+ZppxshGVbAj+6svrpFWr+l7Vv7+q1Gt5HEU4g3O4BB+uoQ530IAmcJDwDK/w5jw6L86787FsLTj5zCn8gfP5AxpGj/I=</latexit><latexit sha1_base64="eU6ryvJCxt1Mol9QbOIg7xr3vSk=">AAAB73icbVBNS8NAEJ3Ur1q/qh69BIvgqSRF0GPBi8cK9gPaUDbbabt0s4m7E6GE/gkvHhTx6t/x5r9x2+agrQ8GHu/NMDMvTKQw5HnfTmFjc2t7p7hb2ts/ODwqH5+0TJxqjk0ey1h3QmZQCoVNEiSxk2hkUSixHU5u5377CbURsXqgaYJBxEZKDAVnZKXOqN+jMRLrlyte1VvAXSd+TiqQo9Evf/UGMU8jVMQlM6brewkFGdMkuMRZqZcaTBifsBF2LVUsQhNki3tn7oVVBu4w1rYUuQv190TGImOmUWg7I0Zjs+rNxf+8bkrDmyATKkkJFV8uGqbSpdidP+8OhEZOcmoJ41rYW10+ZppxshGVbAj+6svrpFWr+l7Vv7+q1Gt5HEU4g3O4BB+uoQ530IAmcJDwDK/w5jw6L86787FsLTj5zCn8gfP5AxpGj/I=</latexit><latexit sha1_base64="eU6ryvJCxt1Mol9QbOIg7xr3vSk=">AAAB73icbVBNS8NAEJ3Ur1q/qh69BIvgqSRF0GPBi8cK9gPaUDbbabt0s4m7E6GE/gkvHhTx6t/x5r9x2+agrQ8GHu/NMDMvTKQw5HnfTmFjc2t7p7hb2ts/ODwqH5+0TJxqjk0ey1h3QmZQCoVNEiSxk2hkUSixHU5u5377CbURsXqgaYJBxEZKDAVnZKXOqN+jMRLrlyte1VvAXSd+TiqQo9Evf/UGMU8jVMQlM6brewkFGdMkuMRZqZcaTBifsBF2LVUsQhNki3tn7oVVBu4w1rYUuQv190TGImOmUWg7I0Zjs+rNxf+8bkrDmyATKkkJFV8uGqbSpdidP+8OhEZOcmoJ41rYW10+ZppxshGVbAj+6svrpFWr+l7Vv7+q1Gt5HEU4g3O4BB+uoQ530IAmcJDwDK/w5jw6L86787FsLTj5zCn8gfP5AxpGj/I=</latexit><latexit sha1_base64="eU6ryvJCxt1Mol9QbOIg7xr3vSk=">AAAB73icbVBNS8NAEJ3Ur1q/qh69BIvgqSRF0GPBi8cK9gPaUDbbabt0s4m7E6GE/gkvHhTx6t/x5r9x2+agrQ8GHu/NMDMvTKQw5HnfTmFjc2t7p7hb2ts/ODwqH5+0TJxqjk0ey1h3QmZQCoVNEiSxk2hkUSixHU5u5377CbURsXqgaYJBxEZKDAVnZKXOqN+jMRLrlyte1VvAXSd+TiqQo9Evf/UGMU8jVMQlM6brewkFGdMkuMRZqZcaTBifsBF2LVUsQhNki3tn7oVVBu4w1rYUuQv190TGImOmUWg7I0Zjs+rNxf+8bkrDmyATKkkJFV8uGqbSpdidP+8OhEZOcmoJ41rYW10+ZppxshGVbAj+6svrpFWr+l7Vv7+q1Gt5HEU4g3O4BB+uoQ530IAmcJDwDK/w5jw6L86787FsLTj5zCn8gfP5AxpGj/I=</latexit>

f�<latexit sha1_base64="c4THz2H5IJwir8urYKckgpY8AcI=">AAAB7XicbVDLSgNBEOyNrxhfUY9eBoPgKewGQY8BLx4jmAckS5idzCZjZmeWmV4hhPyDFw+KePV/vPk3TpI9aGJBQ1HVTXdXlEph0fe/vcLG5tb2TnG3tLd/cHhUPj5pWZ0ZxptMS206EbVcCsWbKFDyTmo4TSLJ29H4du63n7ixQqsHnKQ8TOhQiVgwik5qxf1eOhL9csWv+guQdRLkpAI5Gv3yV2+gWZZwhUxSa7uBn2I4pQYFk3xW6mWWp5SN6ZB3HVU04TacLq6dkQunDEisjSuFZKH+npjSxNpJErnOhOLIrnpz8T+vm2F8E06FSjPkii0XxZkkqMn8dTIQhjOUE0coM8LdStiIGsrQBVRyIQSrL6+TVq0a+NXg/qpSr+VxFOEMzuESAriGOtxBA5rA4BGe4RXePO29eO/ex7K14OUzp/AH3ucPhquPCA==</latexit><latexit sha1_base64="c4THz2H5IJwir8urYKckgpY8AcI=">AAAB7XicbVDLSgNBEOyNrxhfUY9eBoPgKewGQY8BLx4jmAckS5idzCZjZmeWmV4hhPyDFw+KePV/vPk3TpI9aGJBQ1HVTXdXlEph0fe/vcLG5tb2TnG3tLd/cHhUPj5pWZ0ZxptMS206EbVcCsWbKFDyTmo4TSLJ29H4du63n7ixQqsHnKQ8TOhQiVgwik5qxf1eOhL9csWv+guQdRLkpAI5Gv3yV2+gWZZwhUxSa7uBn2I4pQYFk3xW6mWWp5SN6ZB3HVU04TacLq6dkQunDEisjSuFZKH+npjSxNpJErnOhOLIrnpz8T+vm2F8E06FSjPkii0XxZkkqMn8dTIQhjOUE0coM8LdStiIGsrQBVRyIQSrL6+TVq0a+NXg/qpSr+VxFOEMzuESAriGOtxBA5rA4BGe4RXePO29eO/ex7K14OUzp/AH3ucPhquPCA==</latexit><latexit sha1_base64="c4THz2H5IJwir8urYKckgpY8AcI=">AAAB7XicbVDLSgNBEOyNrxhfUY9eBoPgKewGQY8BLx4jmAckS5idzCZjZmeWmV4hhPyDFw+KePV/vPk3TpI9aGJBQ1HVTXdXlEph0fe/vcLG5tb2TnG3tLd/cHhUPj5pWZ0ZxptMS206EbVcCsWbKFDyTmo4TSLJ29H4du63n7ixQqsHnKQ8TOhQiVgwik5qxf1eOhL9csWv+guQdRLkpAI5Gv3yV2+gWZZwhUxSa7uBn2I4pQYFk3xW6mWWp5SN6ZB3HVU04TacLq6dkQunDEisjSuFZKH+npjSxNpJErnOhOLIrnpz8T+vm2F8E06FSjPkii0XxZkkqMn8dTIQhjOUE0coM8LdStiIGsrQBVRyIQSrL6+TVq0a+NXg/qpSr+VxFOEMzuESAriGOtxBA5rA4BGe4RXePO29eO/ex7K14OUzp/AH3ucPhquPCA==</latexit><latexit sha1_base64="c4THz2H5IJwir8urYKckgpY8AcI=">AAAB7XicbVDLSgNBEOyNrxhfUY9eBoPgKewGQY8BLx4jmAckS5idzCZjZmeWmV4hhPyDFw+KePV/vPk3TpI9aGJBQ1HVTXdXlEph0fe/vcLG5tb2TnG3tLd/cHhUPj5pWZ0ZxptMS206EbVcCsWbKFDyTmo4TSLJ29H4du63n7ixQqsHnKQ8TOhQiVgwik5qxf1eOhL9csWv+guQdRLkpAI5Gv3yV2+gWZZwhUxSa7uBn2I4pQYFk3xW6mWWp5SN6ZB3HVU04TacLq6dkQunDEisjSuFZKH+npjSxNpJErnOhOLIrnpz8T+vm2F8E06FSjPkii0XxZkkqMn8dTIQhjOUE0coM8LdStiIGsrQBVRyIQSrL6+TVq0a+NXg/qpSr+VxFOEMzuESAriGOtxBA5rA4BGe4RXePO29eO/ex7K14OUzp/AH3ucPhquPCA==</latexit>

[µAa,�Aa ]

<latexit sha1_base64="XHm0Ips5B4BQZlW16wcK8OkT1Z4=">AAACL3icbVDLSsNAFJ34rPUVdekmWAQXUpIi6LIiiMsK9gFJCDeTSTt08mBmIpSQP3Ljr3Qjoohb/8JJm4VtvTAzh3PPZc49fsqokKb5rq2tb2xubdd26rt7+weH+tFxTyQZx6SLE5bwgQ+CMBqTrqSSkUHKCUQ+I31/fFf2+8+EC5rET3KSEjeCYUxDikEqytPvbcdPWCAmkXpyJ8oKT90gRxhYflt4UFwuCAQdRrCicT29YTbNWRmrwKpAA1XV8fSpEyQ4i0gsMQMhbMtMpZsDlxQzUtSdTJAU8BiGxFYwhogIN5/tWxjnigmMMOHqxNKYsX8ncohEaVgpS5tiuVeS//XsTIY3bk7jNJMkxvOPwowZMjHK8IyAcoIlmygAmFPl1cAj4ICliriuQrCWV14FvVbTMpvW41Wj3ariqKFTdIYukIWuURs9oA7qIoxe0BR9oE/tVXvTvrTvuXRNq2ZO0EJpP78M6awI</latexit><latexit sha1_base64="XHm0Ips5B4BQZlW16wcK8OkT1Z4=">AAACL3icbVDLSsNAFJ34rPUVdekmWAQXUpIi6LIiiMsK9gFJCDeTSTt08mBmIpSQP3Ljr3Qjoohb/8JJm4VtvTAzh3PPZc49fsqokKb5rq2tb2xubdd26rt7+weH+tFxTyQZx6SLE5bwgQ+CMBqTrqSSkUHKCUQ+I31/fFf2+8+EC5rET3KSEjeCYUxDikEqytPvbcdPWCAmkXpyJ8oKT90gRxhYflt4UFwuCAQdRrCicT29YTbNWRmrwKpAA1XV8fSpEyQ4i0gsMQMhbMtMpZsDlxQzUtSdTJAU8BiGxFYwhogIN5/tWxjnigmMMOHqxNKYsX8ncohEaVgpS5tiuVeS//XsTIY3bk7jNJMkxvOPwowZMjHK8IyAcoIlmygAmFPl1cAj4ICliriuQrCWV14FvVbTMpvW41Wj3ariqKFTdIYukIWuURs9oA7qIoxe0BR9oE/tVXvTvrTvuXRNq2ZO0EJpP78M6awI</latexit><latexit sha1_base64="XHm0Ips5B4BQZlW16wcK8OkT1Z4=">AAACL3icbVDLSsNAFJ34rPUVdekmWAQXUpIi6LIiiMsK9gFJCDeTSTt08mBmIpSQP3Ljr3Qjoohb/8JJm4VtvTAzh3PPZc49fsqokKb5rq2tb2xubdd26rt7+weH+tFxTyQZx6SLE5bwgQ+CMBqTrqSSkUHKCUQ+I31/fFf2+8+EC5rET3KSEjeCYUxDikEqytPvbcdPWCAmkXpyJ8oKT90gRxhYflt4UFwuCAQdRrCicT29YTbNWRmrwKpAA1XV8fSpEyQ4i0gsMQMhbMtMpZsDlxQzUtSdTJAU8BiGxFYwhogIN5/tWxjnigmMMOHqxNKYsX8ncohEaVgpS5tiuVeS//XsTIY3bk7jNJMkxvOPwowZMjHK8IyAcoIlmygAmFPl1cAj4ICliriuQrCWV14FvVbTMpvW41Wj3ariqKFTdIYukIWuURs9oA7qIoxe0BR9oE/tVXvTvrTvuXRNq2ZO0EJpP78M6awI</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="t0Xk5qRpVgfGIXMnDIZwu9C6Njc=">AAACJHicbVDLSsNAFL3xWWvV6NZNsAgupCRudKkI4rKCfUATws1k0g6dPJiZCCXkj9z4K92IKOKnOGm7sK0HZuZwzr3MvSfIOJPKtj+Mjc2t7Z3d2l59v3FweGQeN7oyzQWhHZLyVPQDlJSzhHYUU5z2M0ExDjjtBeP7yu+9UCFZmjyrSUa9GIcJixhBpSXffBi4QcpDOYn1U7hxXvr6RjUiyIu70sfycqlAsmGMazWebzbtlj2DtU6cBWnCAm3fnLphSvKYJopwlHLg2JnyChSKEU7LuptLmiEZ45AONE0wptIrZvuW1rlWQitKhT6Jsmbq344CY1kNrCurMeWqV4n/eYNcRTdewZIsVzQh84+inFsqtarwrJAJShSfaIJEMD2rRUYokCgdcV2H4KyuvE66Vy3HbjlPNtTgFM7gAhy4hlt4hDZ0gMArTOETvow34934nse1YSxyO4ElGD+/s4Oqfg==</latexit><latexit sha1_base64="t0Xk5qRpVgfGIXMnDIZwu9C6Njc=">AAACJHicbVDLSsNAFL3xWWvV6NZNsAgupCRudKkI4rKCfUATws1k0g6dPJiZCCXkj9z4K92IKOKnOGm7sK0HZuZwzr3MvSfIOJPKtj+Mjc2t7Z3d2l59v3FweGQeN7oyzQWhHZLyVPQDlJSzhHYUU5z2M0ExDjjtBeP7yu+9UCFZmjyrSUa9GIcJixhBpSXffBi4QcpDOYn1U7hxXvr6RjUiyIu70sfycqlAsmGMazWebzbtlj2DtU6cBWnCAm3fnLphSvKYJopwlHLg2JnyChSKEU7LuptLmiEZ45AONE0wptIrZvuW1rlWQitKhT6Jsmbq344CY1kNrCurMeWqV4n/eYNcRTdewZIsVzQh84+inFsqtarwrJAJShSfaIJEMD2rRUYokCgdcV2H4KyuvE66Vy3HbjlPNtTgFM7gAhy4hlt4hDZ0gMArTOETvow34934nse1YSxyO4ElGD+/s4Oqfg==</latexit><latexit sha1_base64="YnKJCY+7Go61YIDMgFsOoGKkQsE=">AAACL3icbVDLSsNAFJ3UV62vqEs3wSK4kJJ0o8uKIC4r2AckIdxMJu3QyYOZiVBC/siNv9KNiCJu/QsnbRa29cLMHM49lzn3+CmjQprmu1bb2Nza3qnvNvb2Dw6P9OOTvkgyjkkPJyzhQx8EYTQmPUklI8OUE4h8Rgb+5K7sD54JFzSJn+Q0JW4Eo5iGFINUlKff246fsEBMI/XkTpQVnrpBjjGw/LbwoLhaEgg6imBN43p602yZ8zLWgVWBJqqq6+kzJ0hwFpFYYgZC2JaZSjcHLilmpGg4mSAp4AmMiK1gDBERbj7ftzAuFBMYYcLViaUxZ/9O5BCJ0rBSljbFaq8k/+vZmQxv3JzGaSZJjBcfhRkzZGKU4RkB5QRLNlUAMKfKq4HHwAFLFXFDhWCtrrwO+u2WZbasR7PZaVdx1NEZOkeXyELXqIMeUBf1EEYvaIY+0Kf2qr1pX9r3QlrTqplTtFTazy8LqawE</latexit><latexit sha1_base64="XHm0Ips5B4BQZlW16wcK8OkT1Z4=">AAACL3icbVDLSsNAFJ34rPUVdekmWAQXUpIi6LIiiMsK9gFJCDeTSTt08mBmIpSQP3Ljr3Qjoohb/8JJm4VtvTAzh3PPZc49fsqokKb5rq2tb2xubdd26rt7+weH+tFxTyQZx6SLE5bwgQ+CMBqTrqSSkUHKCUQ+I31/fFf2+8+EC5rET3KSEjeCYUxDikEqytPvbcdPWCAmkXpyJ8oKT90gRxhYflt4UFwuCAQdRrCicT29YTbNWRmrwKpAA1XV8fSpEyQ4i0gsMQMhbMtMpZsDlxQzUtSdTJAU8BiGxFYwhogIN5/tWxjnigmMMOHqxNKYsX8ncohEaVgpS5tiuVeS//XsTIY3bk7jNJMkxvOPwowZMjHK8IyAcoIlmygAmFPl1cAj4ICliriuQrCWV14FvVbTMpvW41Wj3ariqKFTdIYukIWuURs9oA7qIoxe0BR9oE/tVXvTvrTvuXRNq2ZO0EJpP78M6awI</latexit><latexit sha1_base64="XHm0Ips5B4BQZlW16wcK8OkT1Z4=">AAACL3icbVDLSsNAFJ34rPUVdekmWAQXUpIi6LIiiMsK9gFJCDeTSTt08mBmIpSQP3Ljr3Qjoohb/8JJm4VtvTAzh3PPZc49fsqokKb5rq2tb2xubdd26rt7+weH+tFxTyQZx6SLE5bwgQ+CMBqTrqSSkUHKCUQ+I31/fFf2+8+EC5rET3KSEjeCYUxDikEqytPvbcdPWCAmkXpyJ8oKT90gRxhYflt4UFwuCAQdRrCicT29YTbNWRmrwKpAA1XV8fSpEyQ4i0gsMQMhbMtMpZsDlxQzUtSdTJAU8BiGxFYwhogIN5/tWxjnigmMMOHqxNKYsX8ncohEaVgpS5tiuVeS//XsTIY3bk7jNJMkxvOPwowZMjHK8IyAcoIlmygAmFPl1cAj4ICliriuQrCWV14FvVbTMpvW41Wj3ariqKFTdIYukIWuURs9oA7qIoxe0BR9oE/tVXvTvrTvuXRNq2ZO0EJpP78M6awI</latexit><latexit sha1_base64="XHm0Ips5B4BQZlW16wcK8OkT1Z4=">AAACL3icbVDLSsNAFJ34rPUVdekmWAQXUpIi6LIiiMsK9gFJCDeTSTt08mBmIpSQP3Ljr3Qjoohb/8JJm4VtvTAzh3PPZc49fsqokKb5rq2tb2xubdd26rt7+weH+tFxTyQZx6SLE5bwgQ+CMBqTrqSSkUHKCUQ+I31/fFf2+8+EC5rET3KSEjeCYUxDikEqytPvbcdPWCAmkXpyJ8oKT90gRxhYflt4UFwuCAQdRrCicT29YTbNWRmrwKpAA1XV8fSpEyQ4i0gsMQMhbMtMpZsDlxQzUtSdTJAU8BiGxFYwhogIN5/tWxjnigmMMOHqxNKYsX8ncohEaVgpS5tiuVeS//XsTIY3bk7jNJMkxvOPwowZMjHK8IyAcoIlmygAmFPl1cAj4ICliriuQrCWV14FvVbTMpvW41Wj3ariqKFTdIYukIWuURs9oA7qIoxe0BR9oE/tVXvTvrTvuXRNq2ZO0EJpP78M6awI</latexit><latexit sha1_base64="XHm0Ips5B4BQZlW16wcK8OkT1Z4=">AAACL3icbVDLSsNAFJ34rPUVdekmWAQXUpIi6LIiiMsK9gFJCDeTSTt08mBmIpSQP3Ljr3Qjoohb/8JJm4VtvTAzh3PPZc49fsqokKb5rq2tb2xubdd26rt7+weH+tFxTyQZx6SLE5bwgQ+CMBqTrqSSkUHKCUQ+I31/fFf2+8+EC5rET3KSEjeCYUxDikEqytPvbcdPWCAmkXpyJ8oKT90gRxhYflt4UFwuCAQdRrCicT29YTbNWRmrwKpAA1XV8fSpEyQ4i0gsMQMhbMtMpZsDlxQzUtSdTJAU8BiGxFYwhogIN5/tWxjnigmMMOHqxNKYsX8ncohEaVgpS5tiuVeS//XsTIY3bk7jNJMkxvOPwowZMjHK8IyAcoIlmygAmFPl1cAj4ICliriuQrCWV14FvVbTMpvW41Wj3ariqKFTdIYukIWuURs9oA7qIoxe0BR9oE/tVXvTvrTvuXRNq2ZO0EJpP78M6awI</latexit><latexit sha1_base64="XHm0Ips5B4BQZlW16wcK8OkT1Z4=">AAACL3icbVDLSsNAFJ34rPUVdekmWAQXUpIi6LIiiMsK9gFJCDeTSTt08mBmIpSQP3Ljr3Qjoohb/8JJm4VtvTAzh3PPZc49fsqokKb5rq2tb2xubdd26rt7+weH+tFxTyQZx6SLE5bwgQ+CMBqTrqSSkUHKCUQ+I31/fFf2+8+EC5rET3KSEjeCYUxDikEqytPvbcdPWCAmkXpyJ8oKT90gRxhYflt4UFwuCAQdRrCicT29YTbNWRmrwKpAA1XV8fSpEyQ4i0gsMQMhbMtMpZsDlxQzUtSdTJAU8BiGxFYwhogIN5/tWxjnigmMMOHqxNKYsX8ncohEaVgpS5tiuVeS//XsTIY3bk7jNJMkxvOPwowZMjHK8IyAcoIlmygAmFPl1cAj4ICliriuQrCWV14FvVbTMpvW41Wj3ariqKFTdIYukIWuURs9oA7qIoxe0BR9oE/tVXvTvrTvuXRNq2ZO0EJpP78M6awI</latexit><latexit sha1_base64="XHm0Ips5B4BQZlW16wcK8OkT1Z4=">AAACL3icbVDLSsNAFJ34rPUVdekmWAQXUpIi6LIiiMsK9gFJCDeTSTt08mBmIpSQP3Ljr3Qjoohb/8JJm4VtvTAzh3PPZc49fsqokKb5rq2tb2xubdd26rt7+weH+tFxTyQZx6SLE5bwgQ+CMBqTrqSSkUHKCUQ+I31/fFf2+8+EC5rET3KSEjeCYUxDikEqytPvbcdPWCAmkXpyJ8oKT90gRxhYflt4UFwuCAQdRrCicT29YTbNWRmrwKpAA1XV8fSpEyQ4i0gsMQMhbMtMpZsDlxQzUtSdTJAU8BiGxFYwhogIN5/tWxjnigmMMOHqxNKYsX8ncohEaVgpS5tiuVeS//XsTIY3bk7jNJMkxvOPwowZMjHK8IyAcoIlmygAmFPl1cAj4ICliriuQrCWV14FvVbTMpvW41Wj3ariqKFTdIYukIWuURs9oA7qIoxe0BR9oE/tVXvTvrTvuXRNq2ZO0EJpP78M6awI</latexit>

N (0, �2AI)

<latexit sha1_base64="Ky07fsAoHrdcCpe/lIp9kyvZnRg=">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</latexit><latexit sha1_base64="Ky07fsAoHrdcCpe/lIp9kyvZnRg=">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</latexit><latexit sha1_base64="Ky07fsAoHrdcCpe/lIp9kyvZnRg=">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</latexit><latexit sha1_base64="Ky07fsAoHrdcCpe/lIp9kyvZnRg=">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</latexit>

N (0, �2VI)

<latexit sha1_base64="xeg/KHBWUgUtZO1fxBE0LY32wQ4=">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</latexit><latexit sha1_base64="xeg/KHBWUgUtZO1fxBE0LY32wQ4=">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</latexit><latexit sha1_base64="xeg/KHBWUgUtZO1fxBE0LY32wQ4=">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</latexit><latexit sha1_base64="xeg/KHBWUgUtZO1fxBE0LY32wQ4=">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</latexit>

Xja<latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="VmrdG1VPKuVt7+JvjTWtHhmTnkQ=">AAACAHicbVC9TsMwGPzCbykFAiuL1QqJqUpYYERiYSwS/ZGaqHIcpzV1nMh2kCorOwuvwsIAQjwFG2+D03aAlpMsn+78yfddlHOmtOd9OxubW9s7u7W9+n7j4PDIPW70VFZIQrsk45kcRFhRzgTtaqY5HeSS4jTitB9Nbyq//0ilYpm417OchikeC5YwgrWVRm4ziDIeq1lqLxOkWE+ixAQTrM2gLMuRecDlyG15bW8OtE78JWnBEp2R+xXEGSlSKjThWKmh7+U6NFhqRjgt60GhaI7JFI/p0FKBU6pCM9+lRGdWiVGSSXuERnP194TBqari2pdVWrXqVeJ/3rDQyVVomMgLTQVZfJQUHOkMVcWgmElKNJ9ZgolkNisiEywx0ba+ui3BX115nfQu2r7X9u88qMEpNOEcfLiEa7iFDnSBwBO8wBu8O8/Oq/OxqGvDWfZ2An/gfP4AZwqa5Q==</latexit><latexit sha1_base64="VmrdG1VPKuVt7+JvjTWtHhmTnkQ=">AAACAHicbVC9TsMwGPzCbykFAiuL1QqJqUpYYERiYSwS/ZGaqHIcpzV1nMh2kCorOwuvwsIAQjwFG2+D03aAlpMsn+78yfddlHOmtOd9OxubW9s7u7W9+n7j4PDIPW70VFZIQrsk45kcRFhRzgTtaqY5HeSS4jTitB9Nbyq//0ilYpm417OchikeC5YwgrWVRm4ziDIeq1lqLxOkWE+ixAQTrM2gLMuRecDlyG15bW8OtE78JWnBEp2R+xXEGSlSKjThWKmh7+U6NFhqRjgt60GhaI7JFI/p0FKBU6pCM9+lRGdWiVGSSXuERnP194TBqari2pdVWrXqVeJ/3rDQyVVomMgLTQVZfJQUHOkMVcWgmElKNJ9ZgolkNisiEywx0ba+ui3BX115nfQu2r7X9u88qMEpNOEcfLiEa7iFDnSBwBO8wBu8O8/Oq/OxqGvDWfZ2An/gfP4AZwqa5Q==</latexit><latexit sha1_base64="DyWqAARWrC15gAC8SkwRQ48B2yI=">AAACC3icbVC7TsMwFHXKq5RXgJElaoXEVCVdYKzEwlgk+pCaKHIcpzV17Mh2kCorOwu/wsIAQqz8ABt/g9NmgJYrWT46517dc0+UUSKV635btY3Nre2d+m5jb//g8Mg+PhlInguE+4hTLkYRlJgShvuKKIpHmcAwjSgeRrPrUh8+YCEJZ3dqnuEghRNGEoKgMlRoN/2I01jOU/NpP4VqGiXan0KlR0VRhPoeFqHdctvuopx14FWgBarqhfaXH3OUp5gpRKGUY8/NVKChUARRXDT8XOIMohmc4LGBDKZYBnpxS+GcGyZ2Ei7MY8pZsL8nNExladd0lm7lqlaS/2njXCVXgSYsyxVmaLkoyamjuFMG48REYKTo3ACIBDFeHTSFAiJl4muYELzVk9fBoNP23LZ367a6nSqOOjgDTXABPHAJuuAG9EAfIPAInsEreLOerBfr3fpYttasauYU/Cnr8wcYepxH</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="VmrdG1VPKuVt7+JvjTWtHhmTnkQ=">AAACAHicbVC9TsMwGPzCbykFAiuL1QqJqUpYYERiYSwS/ZGaqHIcpzV1nMh2kCorOwuvwsIAQjwFG2+D03aAlpMsn+78yfddlHOmtOd9OxubW9s7u7W9+n7j4PDIPW70VFZIQrsk45kcRFhRzgTtaqY5HeSS4jTitB9Nbyq//0ilYpm417OchikeC5YwgrWVRm4ziDIeq1lqLxOkWE+ixAQTrM2gLMuRecDlyG15bW8OtE78JWnBEp2R+xXEGSlSKjThWKmh7+U6NFhqRjgt60GhaI7JFI/p0FKBU6pCM9+lRGdWiVGSSXuERnP194TBqari2pdVWrXqVeJ/3rDQyVVomMgLTQVZfJQUHOkMVcWgmElKNJ9ZgolkNisiEywx0ba+ui3BX115nfQu2r7X9u88qMEpNOEcfLiEa7iFDnSBwBO8wBu8O8/Oq/OxqGvDWfZ2An/gfP4AZwqa5Q==</latexit><latexit sha1_base64="VmrdG1VPKuVt7+JvjTWtHhmTnkQ=">AAACAHicbVC9TsMwGPzCbykFAiuL1QqJqUpYYERiYSwS/ZGaqHIcpzV1nMh2kCorOwuvwsIAQjwFG2+D03aAlpMsn+78yfddlHOmtOd9OxubW9s7u7W9+n7j4PDIPW70VFZIQrsk45kcRFhRzgTtaqY5HeSS4jTitB9Nbyq//0ilYpm417OchikeC5YwgrWVRm4ziDIeq1lqLxOkWE+ixAQTrM2gLMuRecDlyG15bW8OtE78JWnBEp2R+xXEGSlSKjThWKmh7+U6NFhqRjgt60GhaI7JFI/p0FKBU6pCM9+lRGdWiVGSSXuERnP194TBqari2pdVWrXqVeJ/3rDQyVVomMgLTQVZfJQUHOkMVcWgmElKNJ9ZgolkNisiEywx0ba+ui3BX115nfQu2r7X9u88qMEpNOEcfLiEa7iFDnSBwBO8wBu8O8/Oq/OxqGvDWfZ2An/gfP4AZwqa5Q==</latexit><latexit sha1_base64="DyWqAARWrC15gAC8SkwRQ48B2yI=">AAACC3icbVC7TsMwFHXKq5RXgJElaoXEVCVdYKzEwlgk+pCaKHIcpzV17Mh2kCorOwu/wsIAQqz8ABt/g9NmgJYrWT46517dc0+UUSKV635btY3Nre2d+m5jb//g8Mg+PhlInguE+4hTLkYRlJgShvuKKIpHmcAwjSgeRrPrUh8+YCEJZ3dqnuEghRNGEoKgMlRoN/2I01jOU/NpP4VqGiXan0KlR0VRhPoeFqHdctvuopx14FWgBarqhfaXH3OUp5gpRKGUY8/NVKChUARRXDT8XOIMohmc4LGBDKZYBnpxS+GcGyZ2Ei7MY8pZsL8nNExladd0lm7lqlaS/2njXCVXgSYsyxVmaLkoyamjuFMG48REYKTo3ACIBDFeHTSFAiJl4muYELzVk9fBoNP23LZ367a6nSqOOjgDTXABPHAJuuAG9EAfIPAInsEreLOerBfr3fpYttasauYU/Cnr8wcYepxH</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit><latexit sha1_base64="HvOBmqeKIHr5rGbsgh1gS8ODB9U=">AAACC3icbVC7TsMwFHV4lvIKMLJErZCYqqRCgrESC2OR6ENqoshxnNbUsSPbQaqs7Cz8CgsDCLHyA2z8DU6bAVquZPnonHt1zz1RRolUrvttra1vbG5t13bqu3v7B4f20XFf8lwg3EOccjGMoMSUMNxTRFE8zASGaUTxIJpel/rgAQtJOLtTswwHKRwzkhAElaFCu+FHnMZylppP+ylUkyjR/gQqPSyKItT3sAjtptty5+WsAq8CTVBVN7S//JijPMVMIQqlHHlupgINhSKI4qLu5xJnEE3hGI8MZDDFMtDzWwrnzDCxk3BhHlPOnP09oWEqS7ums3Qrl7WS/E8b5Sq5CjRhWa4wQ4tFSU4dxZ0yGCcmAiNFZwZAJIjx6qAJFBApE1/dhOAtn7wK+u2W57a824tmp13FUQOnoAHOgQcuQQfcgC7oAQQewTN4BW/Wk/VivVsfi9Y1q5o5AX/K+vwBGbqcSw==</latexit>

Aij<latexit sha1_base64="FI1vzBgx+Bf28hEo/YFKb4EQIBE=">AAACC3icbVC7TsMwFHXKq5RXgJHFaoXEVCUVEoxFLIxFog+pqSLHcVpTx4lsB6mysrPwKywMIMTKD7DxNzhtBmi5kuWjc+7VPfcEKaNSOc63VVlb39jcqm7Xdnb39g/sw6OeTDKBSRcnLBGDAEnCKCddRRUjg1QQFAeM9IPpdaH3H4iQNOF3apaSUYzGnEYUI2Uo3657QcJCOYvNp70YqUkQaW+ClL7K89zX9D737YbTdOYFV4FbggYoq+PbX16Y4CwmXGGGpBy6TqpGGglFMSN5zcskSRGeojEZGshRTORIz2/J4alhQhglwjyu4Jz9PaFRLAu7prNwK5e1gvxPG2YquhxpytNMEY4Xi6KMQZXAIhgYUkGwYjMDEBbUeIV4ggTCysRXMyG4yyevgl6r6TpN9/a80W6VcVTBCaiDM+CCC9AGN6ADugCDR/AMXsGb9WS9WO/Wx6K1YpUzx+BPWZ8/Ak2cPA==</latexit><latexit sha1_base64="FI1vzBgx+Bf28hEo/YFKb4EQIBE=">AAACC3icbVC7TsMwFHXKq5RXgJHFaoXEVCUVEoxFLIxFog+pqSLHcVpTx4lsB6mysrPwKywMIMTKD7DxNzhtBmi5kuWjc+7VPfcEKaNSOc63VVlb39jcqm7Xdnb39g/sw6OeTDKBSRcnLBGDAEnCKCddRRUjg1QQFAeM9IPpdaH3H4iQNOF3apaSUYzGnEYUI2Uo3657QcJCOYvNp70YqUkQaW+ClL7K89zX9D737YbTdOYFV4FbggYoq+PbX16Y4CwmXGGGpBy6TqpGGglFMSN5zcskSRGeojEZGshRTORIz2/J4alhQhglwjyu4Jz9PaFRLAu7prNwK5e1gvxPG2YquhxpytNMEY4Xi6KMQZXAIhgYUkGwYjMDEBbUeIV4ggTCysRXMyG4yyevgl6r6TpN9/a80W6VcVTBCaiDM+CCC9AGN6ADugCDR/AMXsGb9WS9WO/Wx6K1YpUzx+BPWZ8/Ak2cPA==</latexit><latexit sha1_base64="FI1vzBgx+Bf28hEo/YFKb4EQIBE=">AAACC3icbVC7TsMwFHXKq5RXgJHFaoXEVCUVEoxFLIxFog+pqSLHcVpTx4lsB6mysrPwKywMIMTKD7DxNzhtBmi5kuWjc+7VPfcEKaNSOc63VVlb39jcqm7Xdnb39g/sw6OeTDKBSRcnLBGDAEnCKCddRRUjg1QQFAeM9IPpdaH3H4iQNOF3apaSUYzGnEYUI2Uo3657QcJCOYvNp70YqUkQaW+ClL7K89zX9D737YbTdOYFV4FbggYoq+PbX16Y4CwmXGGGpBy6TqpGGglFMSN5zcskSRGeojEZGshRTORIz2/J4alhQhglwjyu4Jz9PaFRLAu7prNwK5e1gvxPG2YquhxpytNMEY4Xi6KMQZXAIhgYUkGwYjMDEBbUeIV4ggTCysRXMyG4yyevgl6r6TpN9/a80W6VcVTBCaiDM+CCC9AGN6ADugCDR/AMXsGb9WS9WO/Wx6K1YpUzx+BPWZ8/Ak2cPA==</latexit><latexit sha1_base64="FI1vzBgx+Bf28hEo/YFKb4EQIBE=">AAACC3icbVC7TsMwFHXKq5RXgJHFaoXEVCUVEoxFLIxFog+pqSLHcVpTx4lsB6mysrPwKywMIMTKD7DxNzhtBmi5kuWjc+7VPfcEKaNSOc63VVlb39jcqm7Xdnb39g/sw6OeTDKBSRcnLBGDAEnCKCddRRUjg1QQFAeM9IPpdaH3H4iQNOF3apaSUYzGnEYUI2Uo3657QcJCOYvNp70YqUkQaW+ClL7K89zX9D737YbTdOYFV4FbggYoq+PbX16Y4CwmXGGGpBy6TqpGGglFMSN5zcskSRGeojEZGshRTORIz2/J4alhQhglwjyu4Jz9PaFRLAu7prNwK5e1gvxPG2YquhxpytNMEY4Xi6KMQZXAIhgYUkGwYjMDEBbUeIV4ggTCysRXMyG4yyevgl6r6TpN9/a80W6VcVTBCaiDM+CCC9AGN6ADugCDR/AMXsGb9WS9WO/Wx6K1YpUzx+BPWZ8/Ak2cPA==</latexit>

G<latexit sha1_base64="IUIP95C3SzJ2re58y/B+huz1apk=">AAAB+nicbVDLSsNAFJ34rPWV6tLNYBFclaQIuiy40GUF+4AmlMl00g6dTMLMjVJiPsWNC0Xc+iXu/BsnbRbaemDgcM693DMnSATX4Djf1tr6xubWdmWnuru3f3Bo1466Ok4VZR0ai1j1A6KZ4JJ1gINg/UQxEgWC9YLpdeH3HpjSPJb3MEuYH5Gx5CGnBIw0tGteRGBCici8CYHsJs+Hdt1pOHPgVeKWpI5KtIf2lzeKaRoxCVQQrQeuk4CfEQWcCpZXvVSzhNApGbOBoZJETPvZPHqOz4wywmGszJOA5+rvjYxEWs+iwEwWQfWyV4j/eYMUwis/4zJJgUm6OBSmAkOMix7wiCtGQcwMIVRxkxXTCVGEgmmrakpwl7+8SrrNhus03LuLeqtZ1lFBJ+gUnSMXXaIWukVt1EEUPaJn9IrerCfrxXq3Phaja1a5c4z+wPr8Ac+QlEs=</latexit><latexit sha1_base64="IUIP95C3SzJ2re58y/B+huz1apk=">AAAB+nicbVDLSsNAFJ34rPWV6tLNYBFclaQIuiy40GUF+4AmlMl00g6dTMLMjVJiPsWNC0Xc+iXu/BsnbRbaemDgcM693DMnSATX4Djf1tr6xubWdmWnuru3f3Bo1466Ok4VZR0ai1j1A6KZ4JJ1gINg/UQxEgWC9YLpdeH3HpjSPJb3MEuYH5Gx5CGnBIw0tGteRGBCici8CYHsJs+Hdt1pOHPgVeKWpI5KtIf2lzeKaRoxCVQQrQeuk4CfEQWcCpZXvVSzhNApGbOBoZJETPvZPHqOz4wywmGszJOA5+rvjYxEWs+iwEwWQfWyV4j/eYMUwis/4zJJgUm6OBSmAkOMix7wiCtGQcwMIVRxkxXTCVGEgmmrakpwl7+8SrrNhus03LuLeqtZ1lFBJ+gUnSMXXaIWukVt1EEUPaJn9IrerCfrxXq3Phaja1a5c4z+wPr8Ac+QlEs=</latexit><latexit sha1_base64="IUIP95C3SzJ2re58y/B+huz1apk=">AAAB+nicbVDLSsNAFJ34rPWV6tLNYBFclaQIuiy40GUF+4AmlMl00g6dTMLMjVJiPsWNC0Xc+iXu/BsnbRbaemDgcM693DMnSATX4Djf1tr6xubWdmWnuru3f3Bo1466Ok4VZR0ai1j1A6KZ4JJ1gINg/UQxEgWC9YLpdeH3HpjSPJb3MEuYH5Gx5CGnBIw0tGteRGBCici8CYHsJs+Hdt1pOHPgVeKWpI5KtIf2lzeKaRoxCVQQrQeuk4CfEQWcCpZXvVSzhNApGbOBoZJETPvZPHqOz4wywmGszJOA5+rvjYxEWs+iwEwWQfWyV4j/eYMUwis/4zJJgUm6OBSmAkOMix7wiCtGQcwMIVRxkxXTCVGEgmmrakpwl7+8SrrNhus03LuLeqtZ1lFBJ+gUnSMXXaIWukVt1EEUPaJn9IrerCfrxXq3Phaja1a5c4z+wPr8Ac+QlEs=</latexit><latexit sha1_base64="IUIP95C3SzJ2re58y/B+huz1apk=">AAAB+nicbVDLSsNAFJ34rPWV6tLNYBFclaQIuiy40GUF+4AmlMl00g6dTMLMjVJiPsWNC0Xc+iXu/BsnbRbaemDgcM693DMnSATX4Djf1tr6xubWdmWnuru3f3Bo1466Ok4VZR0ai1j1A6KZ4JJ1gINg/UQxEgWC9YLpdeH3HpjSPJb3MEuYH5Gx5CGnBIw0tGteRGBCici8CYHsJs+Hdt1pOHPgVeKWpI5KtIf2lzeKaRoxCVQQrQeuk4CfEQWcCpZXvVSzhNApGbOBoZJETPvZPHqOz4wywmGszJOA5+rvjYxEWs+iwEwWQfWyV4j/eYMUwis/4zJJgUm6OBSmAkOMix7wiCtGQcwMIVRxkxXTCVGEgmmrakpwl7+8SrrNhus03LuLeqtZ1lFBJ+gUnSMXXaIWukVt1EEUPaJn9IrerCfrxXq3Phaja1a5c4z+wPr8Ac+QlEs=</latexit>

X<latexit sha1_base64="GmEibgHXXNR369tm4klVmC2s5dk=">AAAB+XicbVDLSsNAFL2pr1pfUZduBovgqiRF0GXBjcsK9gFNKJPppB06eTBzUyihf+LGhSJu/RN3/o2TNgttPTBwOOde7pkTpFJodJxvq7K1vbO7V92vHRweHZ/Yp2ddnWSK8Q5LZKL6AdVciph3UKDk/VRxGgWS94LpfeH3ZlxpkcRPOE+5H9FxLELBKBppaNteRHEShLk3oZj3F4uhXXcazhJkk7glqUOJ9tD+8kYJyyIeI5NU64HrpOjnVKFgki9qXqZ5StmUjvnA0JhGXPv5MvmCXBllRMJEmRcjWaq/N3IaaT2PAjNZ5NTrXiH+5w0yDO/8XMRphjxmq0NhJgkmpKiBjITiDOXcEMqUMFkJm1BFGZqyaqYEd/3Lm6TbbLhOw328qbeaZR1VuIBLuAYXbqEFD9CGDjCYwTO8wpuVWy/Wu/WxGq1Y5c45/IH1+QMgQpPq</latexit><latexit sha1_base64="GmEibgHXXNR369tm4klVmC2s5dk=">AAAB+XicbVDLSsNAFL2pr1pfUZduBovgqiRF0GXBjcsK9gFNKJPppB06eTBzUyihf+LGhSJu/RN3/o2TNgttPTBwOOde7pkTpFJodJxvq7K1vbO7V92vHRweHZ/Yp2ddnWSK8Q5LZKL6AdVciph3UKDk/VRxGgWS94LpfeH3ZlxpkcRPOE+5H9FxLELBKBppaNteRHEShLk3oZj3F4uhXXcazhJkk7glqUOJ9tD+8kYJyyIeI5NU64HrpOjnVKFgki9qXqZ5StmUjvnA0JhGXPv5MvmCXBllRMJEmRcjWaq/N3IaaT2PAjNZ5NTrXiH+5w0yDO/8XMRphjxmq0NhJgkmpKiBjITiDOXcEMqUMFkJm1BFGZqyaqYEd/3Lm6TbbLhOw328qbeaZR1VuIBLuAYXbqEFD9CGDjCYwTO8wpuVWy/Wu/WxGq1Y5c45/IH1+QMgQpPq</latexit><latexit sha1_base64="GmEibgHXXNR369tm4klVmC2s5dk=">AAAB+XicbVDLSsNAFL2pr1pfUZduBovgqiRF0GXBjcsK9gFNKJPppB06eTBzUyihf+LGhSJu/RN3/o2TNgttPTBwOOde7pkTpFJodJxvq7K1vbO7V92vHRweHZ/Yp2ddnWSK8Q5LZKL6AdVciph3UKDk/VRxGgWS94LpfeH3ZlxpkcRPOE+5H9FxLELBKBppaNteRHEShLk3oZj3F4uhXXcazhJkk7glqUOJ9tD+8kYJyyIeI5NU64HrpOjnVKFgki9qXqZ5StmUjvnA0JhGXPv5MvmCXBllRMJEmRcjWaq/N3IaaT2PAjNZ5NTrXiH+5w0yDO/8XMRphjxmq0NhJgkmpKiBjITiDOXcEMqUMFkJm1BFGZqyaqYEd/3Lm6TbbLhOw328qbeaZR1VuIBLuAYXbqEFD9CGDjCYwTO8wpuVWy/Wu/WxGq1Y5c45/IH1+QMgQpPq</latexit><latexit sha1_base64="GmEibgHXXNR369tm4klVmC2s5dk=">AAAB+XicbVDLSsNAFL2pr1pfUZduBovgqiRF0GXBjcsK9gFNKJPppB06eTBzUyihf+LGhSJu/RN3/o2TNgttPTBwOOde7pkTpFJodJxvq7K1vbO7V92vHRweHZ/Yp2ddnWSK8Q5LZKL6AdVciph3UKDk/VRxGgWS94LpfeH3ZlxpkcRPOE+5H9FxLELBKBppaNteRHEShLk3oZj3F4uhXXcazhJkk7glqUOJ9tD+8kYJyyIeI5NU64HrpOjnVKFgki9qXqZ5StmUjvnA0JhGXPv5MvmCXBllRMJEmRcjWaq/N3IaaT2PAjNZ5NTrXiH+5w0yDO/8XMRphjxmq0NhJgkmpKiBjITiDOXcEMqUMFkJm1BFGZqyaqYEd/3Lm6TbbLhOw328qbeaZR1VuIBLuAYXbqEFD9CGDjCYwTO8wpuVWy/Wu/WxGq1Y5c45/IH1+QMgQpPq</latexit>

A<latexit sha1_base64="sIJjkdgEVyYwpjWI1cLiJtcAl7s=">AAAB+XicbVDLSsNAFL3xWesr6tLNYBFclaQIuqy4cVnBPqApZTKdtEMnD2ZuCiXkT9y4UMStf+LOv3HSZqGtBwYO59zLPXP8RAqNjvNtbWxube/sVvaq+weHR8f2yWlHx6livM1iGaueTzWXIuJtFCh5L1Gchr7kXX96X/jdGVdaxNETzhM+COk4EoFgFI00tG0vpDjxg8ybUMzu8nxo15y6swBZJ25JalCiNbS/vFHM0pBHyCTVuu86CQ4yqlAwyfOql2qeUDalY943NKIh14NskTwnl0YZkSBW5kVIFurvjYyGWs9D30wWOfWqV4j/ef0Ug9tBJqIkRR6x5aEglQRjUtRARkJxhnJuCGVKmKyETaiiDE1ZVVOCu/rlddJp1F2n7j5e15qNso4KnMMFXIELN9CEB2hBGxjM4Ble4c3KrBfr3fpYjm5Y5c4Z/IH1+QP9KZPT</latexit><latexit sha1_base64="sIJjkdgEVyYwpjWI1cLiJtcAl7s=">AAAB+XicbVDLSsNAFL3xWesr6tLNYBFclaQIuqy4cVnBPqApZTKdtEMnD2ZuCiXkT9y4UMStf+LOv3HSZqGtBwYO59zLPXP8RAqNjvNtbWxube/sVvaq+weHR8f2yWlHx6livM1iGaueTzWXIuJtFCh5L1Gchr7kXX96X/jdGVdaxNETzhM+COk4EoFgFI00tG0vpDjxg8ybUMzu8nxo15y6swBZJ25JalCiNbS/vFHM0pBHyCTVuu86CQ4yqlAwyfOql2qeUDalY943NKIh14NskTwnl0YZkSBW5kVIFurvjYyGWs9D30wWOfWqV4j/ef0Ug9tBJqIkRR6x5aEglQRjUtRARkJxhnJuCGVKmKyETaiiDE1ZVVOCu/rlddJp1F2n7j5e15qNso4KnMMFXIELN9CEB2hBGxjM4Ble4c3KrBfr3fpYjm5Y5c4Z/IH1+QP9KZPT</latexit><latexit sha1_base64="sIJjkdgEVyYwpjWI1cLiJtcAl7s=">AAAB+XicbVDLSsNAFL3xWesr6tLNYBFclaQIuqy4cVnBPqApZTKdtEMnD2ZuCiXkT9y4UMStf+LOv3HSZqGtBwYO59zLPXP8RAqNjvNtbWxube/sVvaq+weHR8f2yWlHx6livM1iGaueTzWXIuJtFCh5L1Gchr7kXX96X/jdGVdaxNETzhM+COk4EoFgFI00tG0vpDjxg8ybUMzu8nxo15y6swBZJ25JalCiNbS/vFHM0pBHyCTVuu86CQ4yqlAwyfOql2qeUDalY943NKIh14NskTwnl0YZkSBW5kVIFurvjYyGWs9D30wWOfWqV4j/ef0Ug9tBJqIkRR6x5aEglQRjUtRARkJxhnJuCGVKmKyETaiiDE1ZVVOCu/rlddJp1F2n7j5e15qNso4KnMMFXIELN9CEB2hBGxjM4Ble4c3KrBfr3fpYjm5Y5c4Z/IH1+QP9KZPT</latexit><latexit sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit><latexit sha1_base64="nJ4OlbbCFW1fY0Z/ym11t+WHEH4=">AAAB7nicbVBNS8NAFHzxs9aq0auXxSJ4KokXPSpePFawH9CEstlu2qWbTdh9KZSQf+LFgyL+HG/+GzdtD9o6sDDMvMebnSiTwqDnfTtb2zu7e/u1g/ph4+j4xD1tdE2aa8Y7LJWp7kfUcCkU76BAyfuZ5jSJJO9F04fK7824NiJVzzjPeJjQsRKxYBStNHTdIKE4ieIimFAs7sty6Da9lrcA2ST+ijRhhfbQ/QpGKcsTrpBJaszA9zIMC6pRMMnLepAbnlE2pWM+sFTRhJuwWCQvyaVVRiROtX0KyUL9vVHQxJh5EtnJKqdZ9yrxP2+QY3wbFkJlOXLFlofiXBJMSVUDGQnNGcq5JZRpYbMSNqGaMrRl1W0J/vqXN0n3uuV7Lf/JgxqcwwVcgQ83cAeP0IYOMJjBC7zBu1M4r87Hsq4tZ9XbGfyB8/kDpHSSfw==</latexit><latexit sha1_base64="nJ4OlbbCFW1fY0Z/ym11t+WHEH4=">AAAB7nicbVBNS8NAFHzxs9aq0auXxSJ4KokXPSpePFawH9CEstlu2qWbTdh9KZSQf+LFgyL+HG/+GzdtD9o6sDDMvMebnSiTwqDnfTtb2zu7e/u1g/ph4+j4xD1tdE2aa8Y7LJWp7kfUcCkU76BAyfuZ5jSJJO9F04fK7824NiJVzzjPeJjQsRKxYBStNHTdIKE4ieIimFAs7sty6Da9lrcA2ST+ijRhhfbQ/QpGKcsTrpBJaszA9zIMC6pRMMnLepAbnlE2pWM+sFTRhJuwWCQvyaVVRiROtX0KyUL9vVHQxJh5EtnJKqdZ9yrxP2+QY3wbFkJlOXLFlofiXBJMSVUDGQnNGcq5JZRpYbMSNqGaMrRl1W0J/vqXN0n3uuV7Lf/JgxqcwwVcgQ83cAeP0IYOMJjBC7zBu1M4r87Hsq4tZ9XbGfyB8/kDpHSSfw==</latexit><latexit sha1_base64="hC9lOmVm8cl9X9LDDUAMVaVuPvo=">AAAB+XicbVDLSsNAFL2pr1pfUZduBovgqiTd6LLixmUF+4AmlMl00g6dPJi5KZTQP3HjQhG3/ok7/8ZJm4W2Hhg4nHMv98wJUik0Os63Vdna3tndq+7XDg6Pjk/s07OuTjLFeIclMlH9gGouRcw7KFDyfqo4jQLJe8H0vvB7M660SOInnKfcj+g4FqFgFI00tG0vojgJwtybUMzvFouhXXcazhJkk7glqUOJ9tD+8kYJyyIeI5NU64HrpOjnVKFgki9qXqZ5StmUjvnA0JhGXPv5MvmCXBllRMJEmRcjWaq/N3IaaT2PAjNZ5NTrXiH+5w0yDG/9XMRphjxmq0NhJgkmpKiBjITiDOXcEMqUMFkJm1BFGZqyaqYEd/3Lm6TbbLhOw3106q1mWUcVLuASrsGFG2jBA7ShAwxm8Ayv8Gbl1ov1bn2sRitWuXMOf2B9/gD76ZPP</latexit><latexit sha1_base64="sIJjkdgEVyYwpjWI1cLiJtcAl7s=">AAAB+XicbVDLSsNAFL3xWesr6tLNYBFclaQIuqy4cVnBPqApZTKdtEMnD2ZuCiXkT9y4UMStf+LOv3HSZqGtBwYO59zLPXP8RAqNjvNtbWxube/sVvaq+weHR8f2yWlHx6livM1iGaueTzWXIuJtFCh5L1Gchr7kXX96X/jdGVdaxNETzhM+COk4EoFgFI00tG0vpDjxg8ybUMzu8nxo15y6swBZJ25JalCiNbS/vFHM0pBHyCTVuu86CQ4yqlAwyfOql2qeUDalY943NKIh14NskTwnl0YZkSBW5kVIFurvjYyGWs9D30wWOfWqV4j/ef0Ug9tBJqIkRR6x5aEglQRjUtRARkJxhnJuCGVKmKyETaiiDE1ZVVOCu/rlddJp1F2n7j5e15qNso4KnMMFXIELN9CEB2hBGxjM4Ble4c3KrBfr3fpYjm5Y5c4Z/IH1+QP9KZPT</latexit><latexit sha1_base64="sIJjkdgEVyYwpjWI1cLiJtcAl7s=">AAAB+XicbVDLSsNAFL3xWesr6tLNYBFclaQIuqy4cVnBPqApZTKdtEMnD2ZuCiXkT9y4UMStf+LOv3HSZqGtBwYO59zLPXP8RAqNjvNtbWxube/sVvaq+weHR8f2yWlHx6livM1iGaueTzWXIuJtFCh5L1Gchr7kXX96X/jdGVdaxNETzhM+COk4EoFgFI00tG0vpDjxg8ybUMzu8nxo15y6swBZJ25JalCiNbS/vFHM0pBHyCTVuu86CQ4yqlAwyfOql2qeUDalY943NKIh14NskTwnl0YZkSBW5kVIFurvjYyGWs9D30wWOfWqV4j/ef0Ug9tBJqIkRR6x5aEglQRjUtRARkJxhnJuCGVKmKyETaiiDE1ZVVOCu/rlddJp1F2n7j5e15qNso4KnMMFXIELN9CEB2hBGxjM4Ble4c3KrBfr3fpYjm5Y5c4Z/IH1+QP9KZPT</latexit><latexit sha1_base64="sIJjkdgEVyYwpjWI1cLiJtcAl7s=">AAAB+XicbVDLSsNAFL3xWesr6tLNYBFclaQIuqy4cVnBPqApZTKdtEMnD2ZuCiXkT9y4UMStf+LOv3HSZqGtBwYO59zLPXP8RAqNjvNtbWxube/sVvaq+weHR8f2yWlHx6livM1iGaueTzWXIuJtFCh5L1Gchr7kXX96X/jdGVdaxNETzhM+COk4EoFgFI00tG0vpDjxg8ybUMzu8nxo15y6swBZJ25JalCiNbS/vFHM0pBHyCTVuu86CQ4yqlAwyfOql2qeUDalY943NKIh14NskTwnl0YZkSBW5kVIFurvjYyGWs9D30wWOfWqV4j/ef0Ug9tBJqIkRR6x5aEglQRjUtRARkJxhnJuCGVKmKyETaiiDE1ZVVOCu/rlddJp1F2n7j5e15qNso4KnMMFXIELN9CEB2hBGxjM4Ble4c3KrBfr3fpYjm5Y5c4Z/IH1+QP9KZPT</latexit><latexit sha1_base64="sIJjkdgEVyYwpjWI1cLiJtcAl7s=">AAAB+XicbVDLSsNAFL3xWesr6tLNYBFclaQIuqy4cVnBPqApZTKdtEMnD2ZuCiXkT9y4UMStf+LOv3HSZqGtBwYO59zLPXP8RAqNjvNtbWxube/sVvaq+weHR8f2yWlHx6livM1iGaueTzWXIuJtFCh5L1Gchr7kXX96X/jdGVdaxNETzhM+COk4EoFgFI00tG0vpDjxg8ybUMzu8nxo15y6swBZJ25JalCiNbS/vFHM0pBHyCTVuu86CQ4yqlAwyfOql2qeUDalY943NKIh14NskTwnl0YZkSBW5kVIFurvjYyGWs9D30wWOfWqV4j/ef0Ug9tBJqIkRR6x5aEglQRjUtRARkJxhnJuCGVKmKyETaiiDE1ZVVOCu/rlddJp1F2n7j5e15qNso4KnMMFXIELN9CEB2hBGxjM4Ble4c3KrBfr3fpYjm5Y5c4Z/IH1+QP9KZPT</latexit><latexit sha1_base64="sIJjkdgEVyYwpjWI1cLiJtcAl7s=">AAAB+XicbVDLSsNAFL3xWesr6tLNYBFclaQIuqy4cVnBPqApZTKdtEMnD2ZuCiXkT9y4UMStf+LOv3HSZqGtBwYO59zLPXP8RAqNjvNtbWxube/sVvaq+weHR8f2yWlHx6livM1iGaueTzWXIuJtFCh5L1Gchr7kXX96X/jdGVdaxNETzhM+COk4EoFgFI00tG0vpDjxg8ybUMzu8nxo15y6swBZJ25JalCiNbS/vFHM0pBHyCTVuu86CQ4yqlAwyfOql2qeUDalY943NKIh14NskTwnl0YZkSBW5kVIFurvjYyGWs9D30wWOfWqV4j/ef0Ug9tBJqIkRR6x5aEglQRjUtRARkJxhnJuCGVKmKyETaiiDE1ZVVOCu/rlddJp1F2n7j5e15qNso4KnMMFXIELN9CEB2hBGxjM4Ble4c3KrBfr3fpYjm5Y5c4Z/IH1+QP9KZPT</latexit><latexit sha1_base64="sIJjkdgEVyYwpjWI1cLiJtcAl7s=">AAAB+XicbVDLSsNAFL3xWesr6tLNYBFclaQIuqy4cVnBPqApZTKdtEMnD2ZuCiXkT9y4UMStf+LOv3HSZqGtBwYO59zLPXP8RAqNjvNtbWxube/sVvaq+weHR8f2yWlHx6livM1iGaueTzWXIuJtFCh5L1Gchr7kXX96X/jdGVdaxNETzhM+COk4EoFgFI00tG0vpDjxg8ybUMzu8nxo15y6swBZJ25JalCiNbS/vFHM0pBHyCTVuu86CQ4yqlAwyfOql2qeUDalY943NKIh14NskTwnl0YZkSBW5kVIFurvjYyGWs9D30wWOfWqV4j/ef0Ug9tBJqIkRR6x5aEglQRjUtRARkJxhnJuCGVKmKyETaiiDE1ZVVOCu/rlddJp1F2n7j5e15qNso4KnMMFXIELN9CEB2hBGxjM4Ble4c3KrBfr3fpYjm5Y5c4Z/IH1+QP9KZPT</latexit>

Z. Meng, S. Liang, H. Bao, X. Zhang. “Co-Embedding Attributed Networks”. WSDM 2019

Input Encoder Decoder

Reconstructed !𝑨 and !Xshould be close to theinput A and X

Experimental Evaluation, datasets

Applications:• Node classification• Link Prediction

• Attribute Inference• User Profiling

Citation

Social

Co-author

Experimental Evaluation, results

Link Prediction

Attribute Inference

�4 �2 0 2 4 6

�4

�2

0

2

4

6

Michael I. Jordan

Robert Endre Tarjan

NIPS

SIGKDD

STOC

AAAI

SODA

WSDM

FOCS

SIGIR

WWWICML

ICALP

Experimental Evaluation, results

User Profiling

Machine LearningComputer Vision

Theoretical Computer Science

Outline

• Introduction of Network Embedding

• Co-embedding of Attributed Network for User Profiling

• Walking with Reinforcement for Semi-supervised

Embedding learning from Attributed Network

• Applications on Recommendation

• Future work Discussion

DeepWalk and its extensions

B. Perozzi, R. Al-Rfou, and S. Skiena. 2014. Deepwalk: Online learning of social representations. KDD, 701–710.

v1

v2

v3 v4

v6

v5

v4 v3 v1 v5 v6

Random walk One example RW path SkipGram with Hierarchical softmax

Hierarchical softmax

Agent of label 1

Agent of label 0

Walking with reinforcement?

• Task: walking to classify nodes• Solution: learn node embedding in semi-supervised way

with reinforcement (earning rewards to classify correctly)

• Starting from the yellow node, with labels {0, 1, 2, 3} • Agent of label 0 visited a number of nodes with label

0 (blue trajectory)• Agent of label 1 visited a number of nodes with label

1 (black trajectory)• NOTE: Agents do not know labels when walking.• Determine where to go by knowing what has been

visited (content of previously visited nodes)

Our proposed Multi-Label-Graph-Walk (MLGW) approach

(a)  

Sigmoid

Concatenation/Summation 

(c)      

  

  

(....)(....)

[.....]

[.....]

[.....]

(....)

(....)

[.....]

[.....]

[.....]

(....)

(....)

(....)

[.....](....)

[.....]

(b) 

+

+

Tanh 

Element-wise product

Summation

(....)

(....)[.....]

[.....]

(... )

[.....]

[.....]

(....)

(....)

[.....]

[.....]

[.....](... )

[.....]

History network

Score network

Classification network

[.....]

[.....]

(... )

[.....](...)/[...] Attributes

U Akujuobi, Y Han, Q Zhang, X Zhang. Collaborative Graph Walk for Semi-supervised Multi-Label Node Classification. ICDM 2019

Decidewhere to go

Memorizewhere I visited

Decidewhere to go

Memorizewhere I visited

Classify

Currentneighbors

Currentneighbors

Evaluation Results

Outline

• Introduction of Network Embedding

• Co-embedding of Attributed Network for User Profiling

• Walking with Reinforcement for Semi-supervised

Embedding learning from Attributed Network

• Applications on Recommendation

• Future work Discussion

Search VS Recommendation

• Search engineshelp you find things you know you are looking

for

• Recommendation engineshelp you find the rest (you may not know but

interesting)

23

DBLP Records

https://dblp.uni-trier.de/statistics/publicationsperyear

2019

# of records matched "Machine Learning"in DBLP

0

500

1000

1500

2000

2500

3000

3500

4000

4500

20012002

20032004

20052006

20072008

20092010

20112012

20132014

20152016

20172018

2019

Motivations

• Which paper I should read?

• Which benchmark datasets I should use?

26

Paper Recommendation

Given a set of my previously published papers and mypreviously cited papers, rank the top-k interestingpapers, based on a relevance score:

User embeddingvector

Paper embeddingvector

Objective function:

For user u, its score with a related paper vshould be much higher thanits score with unrelated ones v’

Case Study

C.Zhang, L. Yu, X. Zhang, N. Chawla: Task-Guided and Semantic-Aware Ranking for Academic Author-Paper Correlation Inference. IJCAI 2018

Query-based Dataset Recommendation

Our Solution by LearningPaper and Dataset Representation

Input Encoder Decoder

B. Altaf, U. Akujuobi, L. Yu, X. Zhang, Dataset Recommendation via Variational Graph Autoencoder. ICDM 2019.

Outline

• Introduction of Network Embedding

• Co-embedding of Attributed Network for User Profiling

• Walking with Reinforcement for Semi-supervised

Embedding learning from Attributed Network

• Applications on Recommendation

• Future work Discussion

Challenges and future directions

• Incompleteness and noise in graph

• Scalability on big graphs

• Attacks and Robustness of graph embedding

• Other applications, in biology, chemistry, etc

More of our network embedding and network mining work can be found athttps://mine.kaust.edu.sa/Pages/Category_Network.aspx

Acknowledgement

My PhD students, visiting students and collaborators

37My group website http://mine.kaust.edu.sa

• Basmah Altaf • Uchenna Akujuob• Shichao Pei• Lu Yu• Qiannan Zhang • Zhuo Yang• Qiang Yang• Hongyan Bao

• Yujun Chen• Zaiqiao Meng• Yufei Han• Chuxu Zhang• Shangsong Liang• Guoxian Yu

Thank you for your attention!

Lab of Machine Intelligence and kNowledgeEngineering (MINE): http://mine.kaust.edu.sa/

38

top related