22
9.0.127
0 0 1920 1106
11Tahoma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12Serif
SansSerif
METHOD RK4
STARTTIME = 0
STOPTIME=105248
DT = 0.25
DTOUT=52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 SansSerif
d/dt(Sus_to_infn) = -force_of_infection *Sus_to_infn + New_entrants - m_rate*Sus_to_infn
d/dt(Latent_fast_prog_infn) = force_of_infection *Sus_to_infn
- rate_prim_dis_onset*Latent_fast_prog_infn - ave_rate_become_latent*Latent_fast_prog_infn
- m_rate*Latent_fast_prog_infn
d/dt(Latent_slow_prog) = + ave_rate_become_latent*Latent_fast_prog_infn + ave_rate_become_latent*Latent_fast_prog_reinfn
- force_of_infection *Latent_slow_prog
- rate_reactn_dis_onset*Latent_slow_prog
- m_rate*Latent_slow_prog
d/dt(Latent_fast_prog_reinfn) = force_of_infection *Latent_slow_prog + force_of_infection*Recovered
- rate_exog_dis_onset*Latent_fast_prog_reinfn - ave_rate_become_latent*Latent_fast_prog_reinfn
- m_rate*Latent_fast_prog_reinfn
/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0a
HBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIy
MjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEIA2MDASIA
AhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQA
AAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3
ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWm
p6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEA
AwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSEx
BhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElK
U1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3
uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwC1rOs6
rFrmpJHql6irdSKqLOwCgMcADPAqj/bur/8AQWv/APwJf/GjXf8AkP6p/wBfcv8A6Gaz/TivSjFW
Wh8NWrVPaS957vqaH9uav/0Fr/8A8CX/AMaP7c1f/oLX/wD4Ev8A41nUVfIuxj7ap/M/vNH+3NX/
AOgtf/8AgS/+NH9uav8A9Ba//wDAl/8AGs6ijkXYPbVP5n95o/25q/8A0Fr/AP8AAl/8aP7c1f8A
6C1//wCBL/41nUUci7B7ap/M/vNH+3NX/wCgtf8A/gS/+NH9uav/ANBa/wD/AAJf/Gs6ijkXYPbV
P5n95o/25q//AEFr/wD8CX/xo/tzV/8AoLX/AP4Ev/jWdRRyLsHtqn8z+80f7c1f/oLX/wD4Ev8A
40f25q//AEFr/wD8CX/xrOoo5F2D21T+Z/eaP9uav/0Fr/8A8CX/AMaP7c1f/oLX/wD4Ev8A41nU
Uci7B7ap/M/vNH+3NX/6C1//AOBL/wCNH9uav/0Fr/8A8CX/AMazqKORdg9tU/mf3mj/AG5q/wD0
Fr//AMCX/wAaP7c1f/oLX/8A4Ev/AI1nUUci7B7ap/M/vNH+3NX/AOgtf/8AgS/+NH9uav8A9Ba/
/wDAl/8AGs6ijkXYPbVP5n95o/25q/8A0Fr/AP8AAl/8aP7c1f8A6C1//wCBL/41nUUci7B7ap/M
/vNH+3NX/wCgtf8A/gS/+NH9uav/ANBa/wD/AAJf/Gs6ijkXYPbVP5n95o/23rP/AEFr7/wJf/Gk
/tzWP+gre/8AgS/+NUOP71a//CM66YRKNMuCpGeF5x9OtS1FbmkJV5/C2/vIP7b1jdj+1b7/AMCX
/wAab/bWsMP+Qrff+BL/AONFlpN/qV5JaWkDPcxqWeMkKVAODncR3Iq1pnh/UtZtJriyiVoojtJZ
wu5sZwM9+R+dJ8i3Kj7eVkru/r03K41vWccare/+BL/40LrmsZ41a+/8CX/xqeDw9qd1osmqxxp9
lQM2S4BYL94ge2D+VZOB5ed9NKD2FKVaCTk2r7bl/wDt3V/+gtf/APgS/wDjR/bur/8AQWv/APwJ
f/Gs6inyrsZ+3qfzP7zR/t3V/wDoLX//AIEv/jR/bur/APQWv/8AwJf/ABrOop8q7B7ep/M/vNEa
7rHbVb7/AMCX/wAaQ67rH/QVvv8AwJf/ABqm0UiRJIysEfO1iOGx1we9Wb3S7vSrlbe/j8qRkDhd
wPykkZ4J9DU2iXz1rN3dl6jhrur/APQWvf8AwJf/ABoOuav/ANBa+/8AAl/8arQ273V3DbRAGSZ1
jQE4GScCpb+xl03UJLK6C+dHjdtORyARz9CKdo3sL2lbl5ruxN/bur/9Ba//APAl/wDGj+3dX/6C
1/8A+BL/AONZ1FPkXYn29T+Z/eaP9u6v/wBBa/8A/Al/8aP7d1f/AKC1/wD+BL/41nUUcq7B7ep/
M/vNH+3dX/6C1/8A+BL/AONH9uav/wBBa/8A/Al/8azqk8uTyvN2N5e7bvxxnrjPrRyx7Fe1qfzP
7y5/bmsf9BO9/wDAl/8AGl/tvV/+gtff+BL/AONR3Gn3lhbWtxcwlIrpN8LFgdy8HOAeOo6+tVMD
+/UpRewpVKsXZtr7y/8A27q//QWv/wDwJf8Axo/t3V/+gtf/APgS/wDjWdRVci7C9vU/mf3mj/bm
r/8AQWv/APwJf/Gj+3NX/wCgtf8A/gS/+NZ1L+FHIuwvb1P5n95f/t3WP+grff8AgS/+NH9u6v8A
9Ba+/wDAl/8AGqGc9qsWNnPqF9FaWygyytgAnA9ev0pcsV0LjUqydk3f1Jv7c1j/AKCt7/4Ev/jT
v7d1j/oLX3/gS/8AjSzaPfQ291ctFmCzmME0gcYVwQMdcnkjoO9Z2B60kovYJTrQ0k2vvND+3dX/
AOgtf/8AgS/+NH9u6v8A9Ba//wDAl/8AGs6iq5V2J9vU/mf3mj/bur/9Ba//APAl/wDGj+3dX/6C
1/8A+BL/AONZ1FHKuwe3qfzP7zR/tzV/+gtf/wDgS/8AjR/bmr/9Ba//APAl/wDGs+ko5F2F7ap/
M/vNH+3NX/6C1/8A+BL/AONH9uav/wBBa/8A/Al/8azqKXKuw/bVP5n95of25q//AEFb7/wIf/Gl
XXNW/wCgve/+BL/40X2l3WnWtnc3KoI7yMyRbWySMA8+n3hWfSSi9ipVK0HaTaZof27q/wD0Fr//
AMCX/wAaP7d1f/oLX/8A4Ev/AI1SeKSLb5iMm5Qy7hjIPQj2qOq5Y9he2qfzP7zQGuax/wBBa9/8
CX/xo/t3WP8AoLXv/gQ/+NUOAvvV2/0u60i5igvECSSRrKArA4BJHOO/BpWjsUqlZpyTdkP/ALd1
f/oLX/8A4Ev/AI0f27q//QWv/wDwJf8AxrOop8i7Ee3qfzP7zR/t3V/+gtf/APgS/wDjR/bur/8A
QWv/APwJf/GqSRSS7vLRn2qWbaM4A6k+1R0csew/bVP5n95o/wBuav8A9Ba//wDAl/8AGj+3NX/6
C1//AOBL/wCNZ1FHKuxPtqn8z+80f7d1f/oLX/8A4Ev/AI0f27q//QWv/wDwJf8AxrOoo5V2H7ep
/M/vNH+2tX/6Cl9/4Ev/AI0n9t6x/wBBS+/8CX/xqOPTrubTptQjhJs4XCPJuHysccYzk/eHbvVd
tu373NK0WN1KsbXb1Lv9u6v/ANBa/wD/AAJf/Gj+3dX/AOgtf/8AgS/+NZ1FPlXYXt6n8z+80f7c
1f8A6C1//wCBL/40f25q/wD0Fr//AMCX/wAazqKORdhe2qfzP7zR/tzV/wDoLX//AIEv/jR/bmr/
APQWv/8AwJf/ABrOoo5F2D21T+Z/eaP9uav/ANBa/wD/AAJf/Gj+3NX/AOgtf/8AgS/+NZ1FHIuw
e2qfzP7zR/tzV/8AoLX/AP4Ev/jR/bmr/wDQWv8A/wACX/xrOoo5F2D21T+Z/eaP9uav/wBBa/8A
/Al/8aP7c1f/AKC1/wD+BL/41nUUci7B7ap/M/vNH+3NX/6C1/8A+BL/AONH9uav/wBBa/8A/Al/
8azqKORdg9tU/mf3mj/bmr/9Ba//APAl/wDGj+3NX/6C1/8A+BL/AONZ1FHIuwe2qfzP7zR/tzV/
+gtf/wDgS/8AjR/bmr/9Ba//APAl/wDGs6ijkXYPbVP5n95o/wBuav8A9Ba//wDAl/8AGj+3NX/6
C1//AOBL/wCNZ1FHIuwe2qfzP7zR/tzV/wDoLX//AIEv/jR/bmr/APQWv/8AwJf/ABrOoo5F2D21
T+Z/eaP9uav/ANBa/wD/AAJf/Gj+3NX/AOgtf/8AgS/+NZ1FHIuwe2qfzP7zR/tzV/8AoLX/AP4E
v/jR/bmr/wDQWv8A/wACX/xrOoo5F2D21T+Z/eaP9u6v/wBBa/8A/Al/8aP7d1f/AKC1/wD+BL/4
1nfhRS5V2H7ep/M/vPWPCU8t34ZtZrmad5SZAWkc7iBIwGfwAoqHwd/yKtn9ZP8A0Y1FZ8p2e2Z5
9r3/ACMGqf8AX3L/AOhms6tDXv8AkYNU/wCvuX/0M1n1rDZHHX/iS9WFFFFUYhRRRQAUUUUAFFFF
ABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUALivQ/HOq6jpV3pT2N5LCfJJIRvlY8dR0
P41552rtZ/HFnctbvc+HIZpIFAjeS4ztx7bKxqxbkmlc9LCVYRhKMpcrdrPXo/I6K50q2vPFlvcN
5kUk9gzSrDK0RLBkAJKkE8Njr/CPSs63uNOT4Y+Y9i8kCkK8QkILyZA3Z7DdzisO08Z3UPiSbV7i
2WZngMCQq+wIuQRg4Oeh/OqK+ItnhmTQvs/DPv8AO8z/AGgcbce3rWXspaJ+R2vG0U247tPp6W+8
6zxBJp83gnTEh09yk5CWsfmkeW5BwSe/frTk8IabDeQ2TaTJLAYfn1A3W0q/P/LPPsO3euT1DxI9
74f0/SxbGI2bBhMJclsAjpjjr61eufEulakEudT0T7RqMaKm5bhkRgOeR26njB+tHJJKy8xfWqU5
Nys9FutNN1sW9L0bRLXRNTu9Whe5+w3rQho3ZS4G1QMA45J/+vS6R4dsNR0y/wBWh0l7pDKUtbRr
ryxsGMkvnryep7fjWDHrqw+H73R1tMR3M4lWTzf9WAVO3GOfu9c96saVr8FjpU2k3tobywmcSbVc
oyHjp7ZA9O9U4zs3/VjOFbD80U0rWfTr5uxtTeFdPi8U6Rbm1MdteRuZbYylijKpJG4HPUjv2pJt
J8O3tjr0NjY3EN1pqOfOeUncy7ugyRjK46dDWJFrljp+v2l/pmmfZ47UOBE1wSZcgjJJBwefekg8
RtbNrrfZt39rB/8Alpjyt272+bG726VPLMFXw6bVlq30vpbSzt3On8R3Gk/8IXp7f2fII5I2FsPM
P7ptpwT61V1rSbT/AIS+K1+wXuoqbAOsIuWJL7mALOzZVePXqelY58R2tx4XTS7/AE8zzQqRbziU
qFJzgkD0B6c5xzVpPHB/t7+0JLH9y9uLd4RNkkBidwbaOeTx+tNQmtvM0liKMndta26bW36GhdaD
aaf/AGDfJp32CeTUoopIftBlGCxIOT3+UdPU1n+I7D+0viLNZKCPOliU7fTy0yfwGaiuvFNsbWws
7LSxb2tleLcxgzliwXJwcjgknrk4rOvNclvPEx1iFRDNvjkWMvuAKqByeMg4/WiEJ3u/MzrVsO48
se6bsu252D+DtOkubu0TR5LVUi/c3xu94d8d493HPt27Vk2mlaJpXhay1XWbGe6ku5CAElK7F5wR
ggdBnn1qvqev6PqLS3c2hFtRmBDsbpggO3aGAHfp2H1pNP8AFNpFo0el6lpwvo7Z99uS+MHJIDe3
J/DjFLlqW1uV7XDOeltnZ2ut1a6t2ubQ8K6N/wAJguni3ZrQ6d5+0yvkvvxuzn07dK52y0u0m8Da
lqUkO68gnRIpNxG0FkB4zg9T1ro9e1xtE8aW18kQlR9PVHTOPlLseD2PArHvfFVr/ZVzp2l6UtlF
LIkokD5O4OGJIxz0AxngflQudpfIqX1ZSadk1fS3dKxs6f4W0+/kMMvh+5s4HhzHdS3Z8zdgdY88
Hk9fTpS21zpafDWKSewkktlcLJGshBZ+7Z7DPOKzz46s1vk1IaLm+aLypH+0ELt7BeP6Vm6X4gtr
bQJdI1CyN5bs5kjxKUw3GAcc4zk5zRyTe/kP6xh4O0WtU1e3pa+htNoEOp/8Irblp/LntWknJmZs
BUQ/KGJC5Jxx6+1Jb6NoOty6vp9np0lpdWe4RzmZn3bTjJBOByOnoaxV8VzxzaM8FoEbTYjEcyki
VSqqcjAx933/AEq3ceLrOCG8bS9K+yXt6v8ApEzSlgD32j8T6fQ0ctQSrUHdu3npq1ZLTTTUvppf
hyzstBN5p8082pRoMpMwUMduWPzf7Q4FNtfC+lnxHrFmIzO9uEa3tJJjHuDKGJ3Dk4Jx7d85rDu/
EpvI9EH2TYNJAGfNz5uNnt8v3PfrUzeJNPvtZuL7U9K3iV0kiMUxWSJlUL94YyDjPbHvT5Z26/0y
VWwzaVlo10t01vp3M3XrUWeqyQpYSWACqfIkk8zacc4buM/X+g1x4F1Arj+0NLx/13b/AOJrL17W
38Qakbx4lhAQRpGG3YAyeT3OSaye1bJSstbHBKdFVJe7dX06Gjd6TPZXq2Blt7iZtuPIk3LlugyQ
MH/Gu9s9O8O6L4p07TEtJ2vzF5i3PmkjOG6rnHIB7eleZKzRtlXKsDkEHBBrtz42tXntdQl0VJNU
iTy2m83au3vjg89fpk81lVjJpJHThKtKEpSlZapq6vp1t5j7qxt5fD/iO6kkljK6qy5DvsAMiAko
Dhup6jNGt+GrG20oHTNJe5jeNPKvo7wsdxIGWXpg+o4+nWsZ/FBOmalZCxQi+vDdFmfIT51baRj5
h8uM5HWrMviqztdLubbSNMe0kulxMWnZlQ+qD8Tzx2qOWaOx1sNK97bdtb36XR0I8HafDexWJ0h5
oDD+8vzcbSr8/wDLPPsO3eue0bQ4m+3Q/wBiTatNb3TReYLjyIwo4655ORnHoRRc+J9K1TZd6pov
2nUURUDLOyIwHPI7dTxg/WodO8RWdvotzpV9prXFm8pljRJSm05BCk9cZHXrTUaltTGVXDOatZLX
p9yehsv4Y0SPxaLRgyRPaCaK1aUgO5JG3d1xxnGc/gMVHYeF7a88SCC50iaxt4Lcu8YuPMWRt2Bh
jzgj37du+Vd+KLHVtWFzqekJJbm3WExrIdylWLBlbAx1xj9atf8ACcyrq1tLb2Q+yW8TQiCSYszq
cclj3+VfXv1zT5an4D9rh762tft089Nizq3hmEaD9rh0o6bepOqeQbrzhKrEKPm3cckenQ/WoNO8
F3NrrmnrrEUL2dw7RlUlOSdjMOmD/DWVqeo6K9uYdM0dreRmDGeSdnIxngA5459f5VU0LUxo2rW+
o+T5vklj5e7bnKkdcH1pqM+V6mNSrQ9qnyq2mq231urHS/2RouqeKYNH02ymhSCVxdTGUneEHQAk
/wAXGanv/C1p/ZuqSrpJ06S0BeKU3PnCVVz/AA7jtJA6dsjrXNWuty2fiKTWYEAZp3kMJbIIcnK5
/Hr+NW9U1jQ72OdrfRWjvbnLPM9wxEbE5JUdDzn0qXGaaNI1sO4Sckr3fS2ltLaG3qsMM9p4QjuL
SW5ha2YGKH77/JHjHTHPX2zRqHh/T7fw5Lqd1o0mny288ZMK3Zl82MsoIJzxncfQ8CsuPxlLDJo7
LZDGmwNCw83/AFwZVH935fug96NS8T2c+kX+m2Wltbx3ciyvK05Zt+4MSRj2xjNHLNWX9bmnt8NJ
Sk2m7aXXWy8jo/E8FhqVxpGnLaSfarkKsMwbiJNw3ZHQnbmopvBunSXd5aJpEluixfub43e/e+O8
e7jn27dqwrvxVHd2Vk7WONUstnlXRlO3CkEkqMZzjBHvUeo+IdG1JZb2bQi2oTZDsblggO3aGAHf
p2H1oUJqyQpV8PK8pWbdultLbbb3LlppWh6V4UtNT1iynupbqQgBJSu1ecEYIHQZ59aj+I23/hIr
fZkL9iTGfTe9Q6b4ntYtAj03VtMF8kD74CXxg5JAb25P4cYrP8Say2u38V21sLcrCsJQPuBwSc9B
j73SqjGXPd+ZnVrUfY8sGru2ltbre76m5dadoXh3TNMOqabPdXN3GXlYTlTHwCQACAcEgf1pNA0a
0v7WB10G4u42mZZLqW58lVXdwVAPzYHX3FVY/FFnLp1rBqmkJe3FmoWB2kIDDp8wx6AeuT6U+HxR
bLp1ra3umi4ls5fNtikpjQHJIyB2GffOKLTt5+oKph+dNtWtorem7sdH4fsdN0nWtdsI7dz5ID7m
c8xsgbZ+BJ569KxtM0Sw1LTL7V7bRpLlDKEtbJ7ny8KAoYl8+pbr6VTt/Fvl+J7zVJLEmG7RY5Lf
zMkABRkNjnoeOOtMtPEGnQxXdjNpjPpE8odbcXDb4iAOjdTkqDjI6nrU8k1r6Gn1jDytF2sm7ad9
ntsaV34U05fFGjWwjeC3vkZpLfzNxjZF3Fd2T14H54NSajoOl2uh3Up0I2141x9mtVe7YmTPCuMn
Hqce1VvDN/ps/iy1extk02GOGRdry7zOT0GT0POe/TFaHiSCKXRJ7rVbf7Bf27EWey7Mpc8cgZ6c
emRjPFJuSkk2aRhRlGUlFdfTZdWtCN9D8Oadr1lodxpss088YJuTOy4Y5x8oOOx/+vUEPhrRtKsN
WudUilulsLvYrK7KzIVTauAQOrjJqD/hNLOaWDULrSA+qQJsSZZiqnjqR+J45+tZkviae40PULC5
g3SXtwJ2nD4CYKnAXHT5MdaajU/pmMq+HV2knvbTy0T011NGKys73wZqt1YQzxqb1EghNw+0AtGA
CM7Seepzj14raXwhpkN7FZPpLzQmH5783O0q/P8Ayzz7Dt3rjrTXjaeHrvRliP8ApEyyicSYKEFT
0xz9z171pXXifStTCXWqaH9p1CNFTctwyI4HPI7dTxg/WlKM+gqdeg0nJK9lutN3dbFnRfDenS2m
o5gGqahbXLReR9oMGFU4yMHvz147djXLahGsF5dRJby2yLIQsEhyyDPQn/P49a19I1vStOxLcaMX
uIZWktpYZ2QjPRW9QOmeeD09cnVL+TUtSuL51CPM2do6AAAAfkBW0FLmd9jnxMqLpxUbX8v10KNF
FFbHmhRRRQIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigo9V8Hf8
irZ/WT/0Y1FHg7/kVbP6yf8AoxqKxO88617/AJGDVP8Ar7l/9DNZ9aGvf8jBqn/X3L/6Gaz60hsj
kr/xJerCiiiqMQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiii
gAooooGFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAwooooEFFFFABRRRQAUUUUAFFFFABRRRQ
AUUUUAL1oxQKmt43uryC2jKh5pFjUseAWOBn25oBJt2RDxRxXYf8K11z/ntZf9/H/wDiKX/hWmuf
89LH/v4//wARWXtYdzs+oV/5WcdxRxXZf8Kz1z/npY/9/H/+IpP+FZa5/wA9LH/v4/8A8RR7aHcf
9n4j+VnHcUcV2X/Cstc/56WP/fx//iKP+FZa5/z0sf8Av4//AMRR7aHcP7PxH8jON4o4rsv+FZa5
/wA9LH/v4/8A8RR/wrLXP+elj/38f/4ij20O4f2fiP5GcbxRkV2X/Cstc/56WP8A38f/AOIo/wCF
Za5/z0sf+/j/APxFHtodw/s/EfyM43ijiuy/4Vlrn/PSx/7+P/8AEUf8Ky1z/npY/wDfx/8A4ij2
sO4f2fiP5GcbxRxXY/8ACstc/wCelj/38f8A+Io/4Vlrn/PSx/7+P/8AEUe2h3D+z8R/KzjuKOK7
P/hWeuf89LH/AL+P/wDEUf8ACs9c/wCelj/38f8A+Io9rDuV9SxP8rOM4o4rsf8AhWWuf89LH/v4
/wD8RR/wrLXP+elj/wB/H/8AiKPbQ7k/2fiP5WcdxRxXZf8ACs9c/wCelj/38f8A+Io/4Vnrn/PS
x/7+P/8AEUe1h3D+z8R/KzjeKOK39f8AC83hmyivNY1Gyt4JZRDGQJZCzkEgAJGT0U9u1YHn6T/0
F4f/AACvP/jFHtodw/s7E/yMOKOKPP0n/oLw/wDgFef/ABijz9J/6C8P/gFef/GKPbQ7h/Z2J/kY
cUcUefpP/QXh/wDAK8/+MUefpP8A0F4f/AK8/wDjFHtodw/s7E/yMOKOKPP0n/oLw/8AgFef/GKP
P0n/AKC8P/gFef8Axij20O4f2dif5GHFHFHn6T/0F4f/AACvP/jFHn6T/wBBeH/wCvP/AIxR7aHc
P7OxP8jDijijz9J/6C8P/gFef/GKPP0n/oLw/wDgFef/ABij20O4f2dif5GHFHFHn6T/ANBeH/wC
vP8A4xR5+k/9BeH/AMArz/4xR7aHcP7OxP8AIw4o4o8/Sf8AoLw/+AV5/wDGKPP0n/oLw/8AgFef
/GKPbQ7h/Z2J/kYcUcUefpP/AEF4f/AK8/8AjFHn6T/0F4f/AACvP/jFHtodw/s7E/yMOKOKPP0n
/oLw/wDgFef/ABit/QfClx4ksnvdJ1CwuLdJGhZiJYyHGMgq8YI6jtR7aHcP7OxP8jOfpeldZe/D
/V7Gxnu5biyMcEbSMFd84UZOPl68Vyh5XNVGalsYVsPUotKorXG0UUVZgFFFFAwooooKR6t4O/5F
Wz+sn/oxqKPB3/Iq2f1k/wDRjUVgegec69/yMGqf9fcv/oZrPrQ17/kYNU/6+5f/AEM1n1rDZHFX
/iS9WFFFFUYhRRRQMKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooEFFFFAwooooA
KKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKBBRRRQAU
UUUAFaOgf8jHpf8A19xf+his6tHQP+Rj0v8A6+4v/QxUz2ZvQ/iR9Ue/p0FPpidBT68o+7j8ItFF
FBQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHG+O/8AkJeDf+w9H/6Jmrsq43x3/wAh
Lwb/ANh6P/0TNXZUAFFFFABRRRQAUUUUAFFcN8Q4BenwzZPPcRwXWsxxTeRM0TMhilONykHGQKan
gPwtLeTWaS6qZ4UR5F/tW64Vs7TnfjnafyoA7uivPP8AhDfCp1ZtL36ybpYROwGoXhVUJIGX3bQS
QcDOTg8Vo/8ACsfDv97Vv/Btc/8AxdAHZUVwVt4G8LXjgW82rSjLjemp3ZTKNtYbt+MhsjGc8H0N
W/8AhWPh3+9q3/g2uf8A4ugDsqK43/hWPh3+9q3/AINrn/4us/wVYR6R498XaZbTXT2kEVg0SXFy
82wsspbBck8mgD0KiiigArifh118Wf8AYx3n/sldtXE/Drr4s/7GO8/9koA3vE3/ACLGq/8AXpL/
AOgGvAx1r3zxN/yLGq/9ekv/AKAa8DHWu3C7M+azz44+gUUUV1HgBRRRQMKKKKCkereDv+RVs/rJ
/wCjGoo8Hf8AIq2f1k/9GNRWB6B5zr3/ACMGqf8AX3L/AOhms+tDXv8AkYNU/wCvuX/0M1n1rDZH
FX/iS9WSwyiJw0kUcyjOUkLBTx32kH9a6+xtNPXxDo9uNLtQl3YieRmLvhmjdjgMxGMjuCa435dv
WtWLXLiK7s75Y4PNs7cW0YIO0qFK5PPXBNTOLexrRrQh8S6rp95Yj8PLPNpi2t8ZYr9pQryQ7Cvl
/eO0E545Hr7VW1bSm0qO1lLyslyjMqzQmJ0KnBDIScdRznmi31m5t49PWMRf8S9pGiJXO7zPvBue
RjjjHWqdzcxXDhltYLfGciEvhs/7zNj8MUkpX12NakqDi+Va6d+2v4mxoi2aaNrF1cIjSwvCFL2y
TbAxPQMw64IPTAAIJ7R/2CPsG/7av2j7F9u8nyzt8vr9/P3sc4x+NZtvqEttYXlmixmO7MZkJB3D
YSRjn3q3/bV0dP8Asvk2277P9l87YfM8r+7nOMY46Zx3pNSu2hxqUHGKmtl573N+XSbe50QxwW1u
lxLZ6eqSbACHkdgTkDPPGT3rO/4RxHnijj1MNG141lI7w7dsgUlQBu5BIxnI+lVT4g1EWywosCYj
gjVwp3L5JJQ8nGcnnj8qZda/eXgjCx29sEuPtR8hCMy/3zuJ5/TmkozRpOphpJNq9v8AMtxeGLhr
ewnuJzBHciQzFk/49wgLAtzzkKT2xTrfRE1DRLCWWeC3jW3ubhpI7fLsEkCkMd3zdeOmOnvVefxR
qV018HMYF4qI+0HCBRj5AScZBIPXrUMWvXMNlHYrHAYlt5bYEqd22RgzHr1yOKdpslTw6bSTtb9U
XIfDKPtlN7IsLxW8isIMufOZlUFd2Bgg55PtmsfULZbS9uLRZTKsDtFvKbCxU4PGTxnPet/StcU2
U8VzLFbTxQwQ22TMiMqF87jGd2cOfb24rG1trFtZuX00ubNmBQuSSeBk/Nz1z1og5c1mKvGj7NSp
2v66/cXxp0E3hu91B7S2jliMQieCZmPLANvXewHB74Oe1Z+mac2q6jb2EThGlJ+YjOAASTjvwDxU
g1R47G5tba0trZLgKsrxmQswBzjLOcD1x1qtY3sljexXkG0SxEkbhkEEYII9CCR+NUlKzMJypuUO
y3sazeGpv7R0yATOi3wcg3EBjePZkvuTJ7DI55pF0SCebTjbXzSxXyzlXMG0r5S5ORu7njrVKHUn
tdRgvrSztbaaFicRhyr54IIZjxgkcY61oS6xHDZ6JNYx28d1Z+dvhVG8tVfAGcnJyM9yah85uvYt
N2283tpsVYdFWSDS5muHAvjMNqQF2Ty8dADlic+1acXhqCzaZr+Sd0bTXuYg0BSSJgQDuXf94ZGB
nByeRgZzU167iOnNDbWkS2HmeSio23DjDZyxJ+uc8046/dHYn2azEKW7WoiCvtMbEEgnfnPA5zQ1
UY1LDR3V3p37a/iWbfRVvNH02R5YbeEQXNxNKtv+82I+OTn5zkjHTApB4ajN60bX4FqLAX6z+QST
HxwVzwevc9Pfilaa7d2kNvbrFbvDBHLEUdCRIkjbmDc+uOmOlEmuXkk8su2FVktPsQjVCFji4OF5
znjuT1NO0w58O0m1rp37fkWk8NpJfLDHeyPE9h9uQrBmRhnGwJu5br37VhyxiO4ljCv8jlR5ibW4
PcZOD7ZNXl1ib7Xa3MkNvK9pCkUQfeANjblY4YZbJ+ntVK5ne6uprmTAeaRnfaMDLHJx+dOPNfUx
qui4+4rP5nRadolrbWd1Jczxy3EukSXSQGHKoCMhg5P3hx24z1qLVfC0+l2dzM8zk2pjEqtAURt3
eN8/PgnB4FU01u7jtTAYbZ2NqbPzireZ5JBAXrjjPXGeBnNRalqramTLc2tr9pYKHuEDq7Y7kbtu
T/u0kp3ubc9B07W16b/1c0JPDTRa7b6VHcyM02SbiS32RlQu4lCGO/jPpyKr2+j2FzaXl4uoyC1t
RHvY2p3EuzLjbu/2QevRuxGKams3cUunPbwW8C2BcwogZlO/7wO5iTnp171CdSka2urSK3tYIblY
w6xKw+4zMCCWPdj1zwABjFFpk81BNtLv37afib7aZZp4eupLsW8QFjZyLNDaguu4vnjdyxwAWyM1
QXw5Mb7UrZp3dbEx5a3gMjuJOVITI7cnnjHeok1+7W3Nu1taSwtBFAySoxBWPO3ow5+bn6Cqx1a7
knvpZIradL3b50UiEL8v3cbSCNo4HP50lGauW6uHly3W3qQ6vp76VqlxYSOrtE2NyjG4EAg47cEc
Vrwabp4h8NTLG7SXdxiYOhKyASbSDliOOmMcjk46Vz8kimQusMcS9ljLFR9NxJ/M1ej1i4RNOi2Q
MNPl8yBiG3fe3FT82CM+2eOtVJSaRhSnSjOTa06dev8AkbU/hqK+1V2sL1dr6g9syGDYIyFZztwT
uACkDgcisjV9KfTIrOYtK0dyjMqzQmKRCpwQyEnHUc55qW38RahAxkhWBS12bwnYT8xUqV6/dIJH
r71nTXUU8gZbW3tsZyIS+Gz/ALzNj8MURU09di6s8PKDcV73zLem6XBfWV9d3N4bWK08vdth8wtv
LAYGR3H61aTw60+jSagsswSGJJZCbUhCCfmCMWG5l9OAfXvWZFfyQWV5ZosZjujGZCQdw2EkY596
0f8AhI7waa9kLe02vbpbNJtbeY1+7/FjI57UpKd9ApSw/Kuda2fffoWtQ8PwSeJ77T9O81ILaEzO
ixmRhgD5UG7LkkjqR1Ppzl6vpb6RfJCZC6yQrMhaMxttbsyn7pBB4qSTXLuTV5tSMFt5lxCYZo9r
FJFPXcC2R0HQjoPfOdPNHKwK28UC4xtjLkfX5mJ/WnFSVrk1pUpJuC1b/D0NXS9Fj1C2S6nvvsyS
3S2kQWHzC0hGeeRgcjnmrklnb6d4YuRMEa6W+ltpH+ypJyEPyqxIIXvuHOeMeubpur3On2/2dIra
aITC4jEyE7JAMbhgjnp1yOKin1Se4tXs5tjK92128mPmMjDB9sfhQ1JvyLjUoQhovet5iaXYPqmo
29hG6xmUnLsMhQAWJx34BrWsrHTW0PWJftRkSMQbZ2tvnjJdwVVd3fA/iAwRnpisWxupdPvo7qAr
5kRyNwyCCMEEehBI/Gp31WRrO6tore1t4blYw6xKw+4zMCCWPdj1zwABjFKSk3oKhOlFXktde/Va
F4eGwNZutNNxOxhMYV4LVpdwcA7iAQFABGcn6Zp58LxwySJc6iY2F+LFBHBv3MQpDfeGBhufTHeo
B4jvPtlxdPBau1y0TOjK20GIDYRhs9s8kg02XXr64l3vHbg/bFvflVv9YFAx1+78o9/ei1QrmoJP
Tq++19C5YeHVurh4HvzCwvXslKQbwWRdxJ+YYGPrUb+G2XS3u47mViLX7Wm62Kxsh5A37iA+3B2+
+MnrU+l6raPBMb64WCaW/aeZN06KYnC7tvlnk5HAbI/M1lanqkV45hFpBJDCGhtpmDiRYgTsBwwB
IGOoNJObZclQjTvZNvzd/mVdPtxd6jbWjEqs8qRkjtuYD+tbM2lJqGpaxJFmFLGUItvaWwdmXcVB
C7l6Bck++axLKdrS8t7sLuMMqyBc4yVIP9K1pNVi03xNc6jpkcNx5khlhklVxs3A5AAIH8RHIPTi
qlzX0MKLpcvv99fuY/8A4RaY6R9t85932P7XgwHy9h52h8/f284x+NV9bsLOwaw+yeb++s45pN4x
ksPvfePJ5yOg7E1Bcam93awwXNrbStDEIUmYMHCjoPlYKcdsg1Hc3z3scCzRwq1vCsCugYFkUYXd
kkcewHWhKV9Sqk6HI1Ba6d/mJb2f2jTry637fsxjG3bndv3d88Y2/rWvP4fS2k1X7RfMkWniEsy2
+5pPMGQANwwQcDr+VZlhqT6dFcxfZre4in2GRZ1YjKElTwR6mtWLxEktnrk19FbSXV6IAkBjfy2C
ZU9DkYGD1HPSiXPfT+th0VQcVzb69+zMfUbBrDVZ7NpVl8vBWRRgMrAMD7cEVS6nNWr2+nvdQmup
9vmynJCjAAAwAB6AAD8Kq9DirV7anHU5ed8u3QSiiiqMgooooAK0dA/5GPSv+vuL/wBDFZ1aOgf8
jHpX/X3F/wChipnszeh/Fj6o+gV+6KWkX7opa8o+8WwtFFFAwooooAKKKKACiiigAooooAKKKKAO
G8Ryatf+OdN0PTtcuNLt5NPnupHghjdnZXjUD51PGGPSrH/CJ+I/+h+1b/wEtv8A43SXv/JYdI/7
At1/6NirsqAOO/4RPxH/AND9q3/gJbf/ABuj/hE/Ef8A0P2rf+Alt/8AG67GigDjv+ET8R/9D9q3
/gJbf/G6P+ET8R/9D9q3/gJbf/G67GigDyXxf4c1yC98MLN4v1CdpNZjjjZ7eAeU3lSHeMIMnAIw
cjmup/4RPxH/AND9q3/gJbf/ABus74g6tptjqfhRLzULW2kTWY7hlmmVCsYilBc5PC5IGemTXoVA
HHf8In4j/wCh+1b/AMBLb/43R/wifiP/AKH7Vv8AwEtv/jddjRQB4z4P1nUfGOu63pdt461JW06b
EDi2tj9oi+6XH7vpuB/Blrtf+ET8R/8AQ/at/wCAlt/8bo8G/wDIzeNf+wqn/pPFXY0Acd/wifiP
/oftW/8AAS2/+N0f8In4j/6H7Vv/AAEtv/jddjRQB4tB4R1vwrL4VTWvEs2orJr8fl22Mxw/upej
H5vwGFGTx3rtdZ8If214h+03kVncWBVA0E4Lbiscy8rjB5kUj6E9QKd47/5CXg3/ALD0f/omauyo
A82v/AV9dW88imxa8ksbG2Z225lMRYyqzPE42tlOqtnaMjgVc07wpfWOsaZcyR2Vz9nhiT7RczM8
9rtVgyRbY0DK24DPyDjlTwBKfE17aRafNNY+dbXt1Mj3J8wJbIJtiKfLjfkg5y21cg/MOKbfeMNS
tL3U4odItp4bUzKjtflGkMSI75XyiF+VuOTkjnAOQ2wKH/Cv72GNo7e20oQJPcSG3LlUvEknSQJL
iPgbV2nhvur1HAsT+E9bTSoLW1/s75rO6tZY2mdUtllkV0WLCHcqAbACF4AIx92ri+NmbVNQtU0y
UQWqNtupVmWMyBVO1mERUA7gBtZ2J/h5GZtE8UXesXGnxLpSQvOtw1yZJpF8oRSBPlV4lZiSwOGV
Mc/iJsBtn4durXx9ea2iWy2t1FtkcuskrttQDGYQyKNvTzWU9doJqPw7/wAlV8bf9cNO/wDQJa7W
vH9Z8Wy+DPGvjK/i0W71NjBYZ8gfu4sJL80jclR74PTtSA9gorg1+Isi2gnk8F+Kgoj3sy2Ue3GM
kj970rptF1WDXNEstVt1kS3vIVmjWUAMAwzggEjP4mgDWrifh118Wf8AYx3n/sldtXE/Drr4s/7G
O8/9koA3vE3/ACLGq/8AXpL/AOgGvAx1r3zxN/yLGq/9ekv/AKAa8DHWu3C7M+azz44+gUUUV1Hg
BRRRQMKKKKCkereDv+RVs/rJ/wCjGoo8Hf8AIq2f1k/9GNRWB6B5zr3/ACMGqf8AX3L/AOhms+tD
Xv8AkYNU/wCvuX/0M1n1rDZHFX/iS9WT2kDT3UFtGVDzSLGpY8AscDPtzV1dEu3jDq8JzeiyA3HP
mHoen3eOv6VTsrhrO+t7tVDGGRZAp6EqQcfpWlfa5DcWf2eC0ltw179sZhPlicEEKduF68HBxjvS
lzX0NqSouLc3qEOlhLvU7aTyLl7W2ldikjxiN1IXIyo3MPT7pz1pdS8O3emrdPJc2cptNnnpE7Fk
DnCnlQP1zT5vERlnlla2ZvM0/wCw5ebcx5B3s20bj+ApdR8QfbG1RjabP7S8r/lrnythB9Oc49qz
XPc2/wBn5Wr69NytqOg3GmQPPPd2rGOVYWjQuWDkbtv3cdMnOccHvxVzQvD8WqafHctBdzPJefZ2
+zuqiNNqnecqemT3FXfEdxbX1nfP/aCsEmSW3VJ4SJ2IwxKIoYbV4G4k4FZWla3Hp8UMElvLKYbv
7WrRziP5toXaRtORx2I60JylHzKcaMKtn8NiT+wbmWdktp7chpJ1tUkYh5ljJBK4GO3cjvSWGis8
emXlzNai1vLhEWAuwkdfMCMAAPx69Pep38Syz23lyJdQkTSyq1neGHh2LEMNpDYJPPHFUo9a2Q6S
nkf8gyUyf6z/AFmX346fL6d6PfsS/qylda/fvcnvPD1wuoXaK8FvHG0sojkdiywKeHYAE7egH8Rz
0xzRaaMIpryO9RZQmmNd28kbHa3Ta46E9TwR+FTr4oY30l5JZkzyJJC0iTlGMTHKrkDhlIGG9OCO
hFFNcdJ7uQrdT/aLNrXNzdeYyZOc7toyOOmO/Wn+86lP2Cd0yynha/kmaHz7QSoyJMpkYGJnGVDf
Ljk4Hyk8nFZk9hNDaxXM+2NZZHiWJiQ5K43HGOgJx9a09S8ST3x87deQz5Riq3hMO5SDkRleORnG
7g03xNexX2seXbGM28KYUwvuRnY73YY45Zj+VOLndJkVYUOVyg9v1/yHzeH4R4Tg1mKWTzyxaWNm
G3Z5jJlRjOc7ep703XNBh0qDSwk5866LJOZXARHGzODgYALEEn0p+m+JG01dPi+yLKlpHNG6mTAk
Dvv9OMED1ziq8muSTjTPPgEkllcSTuxbiUu4cgjHHT361KU7lSlhnDTey776XY5NGvJmtVt5ba5S
7keNJYnIUFeW3bgDwATwDwOKsz+HlfTNMNpNavI8VxLczrK3lbEK4JyMjG7HC55qeTxm7TWckdo+
be4kmPnXBk3BwQVB2jAAYgenHBqmmtQxWtvaRaewgjgmgkD3OXkWUqSd20YIK56Y9qX7wtLDq6vv
6+WxCvh+7a++zefaKotRdicyHyzFkDcDjPfuB0PtSp4funuxD9ptAptReiYswQxZAzyuQeehHanN
4g3TTsloEhfTv7Pij83JROPmJx8xznsOtL/wkHy7fsn/ADC/7Oz5vvnf0/T9ar3zO2H7/mVptKkt
7hIpryzjje2F0kzOwRkJwMDbuJ9sZ4pLrRbq11WLTJGhMszxqkisSjb8YOcZxz6VZg8SGG4ilFqw
Menix3JNtYck+YrbTtPPoaXUfER1DX7TVjbFPs5jPlGXcW2HP3sd/pQnO5Eo0OW6et1326kFxoV3
bojRy21yWuRabYnOVlIyFOQB+IJFTt4eliurWOe4tmt5bsWsskDsTHJ/d5X7x5AOCM9SBTTrr7WW
O2RZP7T/ALQRmfIB5wpGBnr1yKfP4hjklhaDT/JRL8X8qtMXMkg7A4G0dfXrR+8NF9X39O5C2lo2
r3dlDe2qJDOIkaZmG8kkAABckjoTjA9cYqS/0BbDQprq4uFF3FeG3eIElSAM4Hy9ed2c4x78VJZe
IzZX2oXEVvIBdypL8txtZCGLFd4XlSTyMDjjPeman4hTVbS6gezaN5rr7SjCbOwlQpBG35hge3Wj
37rsUvqyi3f3te/yJrvw1PLqE6x/Y7CFJkt1SS4d1aQqDtViuT1zyB1qjbeH7y4ieR5rWHbdG0Ky
u2TKMfL8qn16+xrRfxYk908tzpokRrtLuNVuCpSRVC8nb8w+UcYFVF11zs8y2UyDUv7Qd1fAYkDK
gYOOnXNJe0sTL6vdtP8AMjv7GOLSUuPLEdzBeyWdxhi29gNwPoMYYcdcU/TdHl1OwiFvHAs0l20S
zySsDhYt5UrjGOM7s5zx05qS+1KK40VlynnXmpS3pRXDGJcbQG98k446DNJo2vNpFrBD9n87yrl7
jd5m3O6Mx46HpnOfwp+9y6bktUlUSfw2RSvtLl0+3trgz29xBc7xG8DMQShww5APU1ei0a28rw/O
ZhKdQuNk0RLDK79p2/KMYHB569MjmqFzqX2rSdPsfL2/YzKfM3Z37yD0xxjFWYtaWO20qM2pL6bM
ZFYSYEgL7ypG3g5xzn8KTUrCg6Cm77WXffS5bu/Ddw2oOLGa1lhe8e2VVkb90QC+GJHZQckE9D3r
JvNPmsYbWcyRTW9ypaKWIkq2Dgj5gCCPcVq2XiWW1uDJFaIzG/a9yZD0ZGQpwOuGPzfpWdqOqfb5
Y2Zr4hCcC6u/Oxn+78ox+tVHnvrsFX6u4Nw+LsT2fh67v4LSWKe1VrzeII3dg7lCQRgKQPu9zjkV
GdHumZlEkHy2P24/Mf8AV4zjp97B+nvVnT/Ef2F9Jb7Jv/s7zf8Alrjzd5J9OMZ96lTxBEtqynTS
bhtP+wGYXGF2YIDBdvXp37dqV53Go4dxV3Z/Psv1I4/DF3LBHL9ssELW4uijysGWIgfMfl6DPP8A
WpbDw+puriC8ltyraa13BMHZYxkqFc8A8c8EfhUP/CRfe/0TrpY07/W+n8fT9P1qSDxDHHLGZrLz
Yhpo090E23cM5LZxx6YoftCovDpr/glRdCu/meSa2it1hjm892bZtkOEx8u7kg9VGMHOKcmhXTS6
gks1tb/YGQTPM5C/PnaRgHIOP1FXF8UlPNiW0eKBraK3jWC5KSxiPJU+Zjk5Zs/L3HpzQk1cta6h
b7Z3+3eSfMuJ/MdfLJ6naN2c+2MUL2gpLDK1nffv20/ErWGnz6jO8cLRosUbSySSNhUQdScZPcdA
eta+n6BHFdXov3t5UjsDdQEO+xwcYfKANtHII4PoDWXpmpDTLidmtxPHPA8Eib9pKtjo3ODkDsau
N4gLSzMloEhbTv7Pjj83JROPmJx8xznsOtOXM3ZEUnRjFSluR6VZQ3/iGO2WGGSFnciPznjQgKxH
zY3cYyOOcc05vDV2tqs3n25drT7aIQzb/KwCT93Geemexxmquk6h/ZOpQXvk+d5YcbN23O5CvXB9
c1e/4SPnP2T/AJhf9n4832xv6fp+tEua+hVN0HD397/gTSeH/wCz9L1aa9aCS8txAVjjkYvCWYZD
DgHIPuKTVNAuI9XjhtIYIkuJRAsUUryiFwFJ3MVB6Nu+mfSm32vrfWmoobXZc6gIvOmE2VBQqflX
bwDg8Enr1qY+KZGub+YWQU3B3Q/vMm3k8soWB28kg+1SufcuTotWvpp08/TsQHQ5prKy+zraJlbi
SW7M7FGSN9u4jb8oHAG3OcgnFO1XQUhlhWzaHEemLdyursyyncVJXPrkccCmwa99msraxez3xRW8
9tIRLtZ1lbdlTg7SCB606fxHC91u/s4rb/2f9gMQuPmCZyGDFevTselHv3Lbwzjvq0vy9Cg+kSwt
CJrm1hWW1W6DyO2NhJAGACS3HQA1pxeGXjttSgnET3aPbJbyLIdmJWIz9Dx1HamHxHEl+txDZPFG
th9iRUuMMgySHVypw3OOlOvfE4vjeB7NoxciAEpcfOvlMTkMV6nPXt70P2jM4rDx1bv9/b07mNfW
f2O8mtWnhleMlXMQbCsCQV+ZRzx24961ZtAeS2S5R7K1ihsoZZXeZ33mQNhvu5BO37ozjjGaoavq
p1e5hmMTJ5VusGZJd7vtz8zNgZJz6Vdm8Qm40iWwNpt321vBv8zOPKJ5xjvnp296p81kRB0FKSe3
T7jM1LTp9OvprS4KGWLGShypBAII/AiqnVc1f1TUv7U1Ke68nyfNVBs3bsbUC9cD0zVDouKuN7an
JU5eZ8u19PQSiiiqMgooooAK0dA/5GPSv+vuL/0MVnVo6B/yMelf9fcX/oYqZ7M3ofxY+qPoFfui
lpF+6KWvKPvFsLRRRQMKKKKACiiigAooooAKKKKACiiigDjb3/ksOkf9gW6/9GxVvyXV6+oS2tst
viNQ2ZN3f6VgXv8AyWHSP+wLdf8Ao2Kt+D/kYbr/AK5L/SgB/wDxN/8Apx/8fo/4m/8A04/+P1Xt
b1U0+RnuA0qFiQx3MOeOM1VOqXIIm3R4VHAQDhiCOevpz1PegDS/4m//AE4/+P0f8Tf/AKcf/H6p
HUrtYyQsHyqXz97cAQOzHHX1NMmu7tLxysgZkkYiM5+6Fz0z6frQBmeIfB7+Jb7SLu+jsmk0u5+0
RY3fNx9w/wCzuCn/AIDXR/8AE3/6cf8Ax+oWu5JNKluSo5yU5I+XPGcHNV5NRupLWTJjXMTMpQEE
YbHXNAF7/ib/APTj/wCP0f8AE3/6cf8Ax+qkF9cLK8IVXESsMbvnOBkHliTn6fjULajcSCKQSxAA
5YICATtztOe/bg0AVdG0TVtJ1PW7zzrGT+0roXO3DjZiNUx7/dz+Nalzcapa27zuLMqnULuzVU6n
cvACTEgYH96DwPlzjAY4OfX8qs3LM/hvczFmMSkknJPIoAm1K/8AsOiXWoeWHMFu8+zON21S2M/h
XI6TrvjrWdIs9UttE0EQXcCTxiS+lDBWUEZAjPODXT+IP+RL1T/sHy/+izVXwD/yTrw1/wBgu2/9
FrQB53Fc+OLifwqfF9paQKNej8h42xM37qb7yj5cY78H1FepXmsaZpksMd/qFpaSXDbYknnWMyHO
MKCeTkjp61heO/8AkJeDf+w9H/6Jmq9rXh1dZkkkNwsReylsx+63Y3sh3dR02dP14oAhNn4aivHg
ujpk91YO98EujE8lmHbezjPMa55z+vSpX1Two1q1+dQ0ZrWaQxtOZotju6jKls4LMuOOpGO1Yese
CppZtav4Lhrh7qGRra2d5QUlZVHeXysEqOPLB55bioYvCmt6zo2oR3l22ly6jeNPPH5ZUsphSPkQ
z/LyhYDzHGDhgewBqm78H3mr6igttMlu0Jsr+R0hDbBHvKuWIZk2rjHI+U8YUkXkm8MaLGpjk0nT
44sRrtaKIJ5mCFHTG7AOO+Kr2vhiS31g3bX0bwm5FyYRbkHd9n8hgW3ng4BHHHI5zkZcvw6Z9Igt
ItUkWWK5kl82QSqHjZPLWMiKWNvljCLndztOQc0wOstb+K8nvIUV1e1l8qQOAMkqrAj1BDD9a57w
9/yVXxt/1w07/wBAlrU0bTpbK71FynlxvJGkA3bj5aRqoJ5J5IPU5xisvw7/AMlV8bf9cNO/9Alp
AdRqwxot8B0+zyf+gmsP4b/8k28Of9g+L/0EVu6t/wAga+/695P/AEE1hfDf/km3hz/sHxf+gigD
qa4n4ddfFn/Yx3n/ALJXbVxPw66+LP8AsY7z/wBkoA3vE3/Isar/ANekv/oBrwMda988Tf8AIsar
/wBekv8A6Aa8DHWu3C7M+azz44+gUUUV1HgBRRRQMKKKKCkereDv+RVs/rJ/6Maijwd/yKtn9ZP/
AEY1FYHoHnOvf8jBqn/X3L/6Gaz60Ne/5GDVP+vuX/0M1n1rDZHFX/iS9WWbO3lvb6Cyt1zLM4Re
DgepOM8Ack+gNacfh+8eHVBtkNzp7ohhSJmMu8nkd8YGenINZ+m3C22rWNxKdscVxHI5AzhQwJ/l
WrLqlvFD4kiiuGY300bwFFYCRdzMw5AxgMAc/hmpk5X0/rU6KMKTjee+vXy0MhbC5lVraO0uGuEG
WiETF1+q4yKgdHjdo5FZHUlWVhggjqCK66bXtOn1HXP30ey8SBoZJkkCFo1GQdmHHPf2rntVvJNQ
1OW7keCR3wS0CsEOABwG+bt3ojJt6oirSpwjeMru7KkUEtxMsMEMksp+6kalmPfgCte50FrR9k7z
JIbD7aV+zMSrZI8tsfdHH3jgCo9DvorO5vPOmMH2izkgSTBIRzggnGTjjHAPWta51nTzcyBbwzj+
xTZiUxuN8m7OORnpzk8UpSleyN6FKk6fNN6+pzrafqCNHE9ldLJJny1MLAvjk7Rjn8KathdtM1st
pcG5XkxCJtw/4DjNdX/bGkNe/aLia3e5urWaC7lijl8ncduwkHDcqpB2+tUft1pdalI2oXFsYlsD
BEYPtCxswI2rJ/GR6/QUlOXYJYaktprfujEj06/leSCOwunlix5kawsWTPTIxkUz7FcfZ/tf2Wf7
LnHn+Wdmc4+9jHXiusu9a0m81m5SS6ifTLiCJZ90cokdk3Y2YHBBx948571Sk1uJtIjW3mtFlOnr
aTJMk2/gY+XblOTyCcEZ5oU5dglhqSvaXfqjnobea7kMdrBLMwGSsSliBkDOB7kfnTxZ3jRyyLZ3
BSJisrCFsIR1DHHBHvWnpWq21sb1mgitHksZYozAZCWdiuB8zNjoeeP5VZsdbt4NM07bJa/bLYzB
jeJMQwckkjy8g5Bwdw7U3KS2RnToUpJXkZsmjXB0+wuoVluJLsSsIo4iSmx9vbOfXoKItG1F7C+v
DbOiWZUSo6MG55OBjsME5xgEGtax1HTTpGn2t3cYeK2uUZGMqp5jSBkDlOSpHPHoKt65rmmXkWrx
QXKZuIbfyi0bgM0ZYsOhIPIxnj3qeeV7W/q50rD0HHm5lttfrY5T7JP9k+2fZJ/s2cef5Z2Zzj72
MdeKuQ6TcnR7jUpklgSBY2j3wkCUOwXhjjpkHjNac+uQtpEcdvLaLKdPWzmE6Tb+Bj5duU5PIJwR
nmpdV1uwvbHWWivGZr0W5htij5j2FSwJI2g8HoSOOtPnl2MlQopNuV9O/WxyNWUsrtoVnW0nMDHC
yCJthOcYBxjOeKrV0kmoWNz/AGVKdRlt1toIYZoF3h/kddxBHy4wN2c5yo4z0uTa2OWjTjO/M7FG
z0HVLy7jsvsksDyKzBponQbVGSen0H1I9aqRWF7LLIkNpcSyQnEiJEzFD/tADjoevpXaRa/olrNp
yxXa+Vb3E7N5aSsFR0YKSXBJOSM4754rE0a9tbHTng+0W6XcF79oheZZvLcbQoI2YPY8MMYbp1rN
TlvY7JYaimlzrrfVdkYkGn3l6rPa2dxOFOGMUbPj64FOksr2KBppbO4SFWKvI0TBVIOCCcYBzx9a
6rQ7zMAuj9nMz6tI0RMkiRtK6AAABGJXk9duOOeTTLvVrW1jmikuWM0OmNpj2wVj+9B2l8/d28Zz
nOO1P2kr2sH1SlyKTkYNjp1zdXNvHPFdW9vNnbOLV5AflLDAA5yB27c9BVP7JdfZvtotJ/s2ced5
Z2Zzj72MdeK6a3160XXNEme5ItLWwWKXhsJJ5bqRjHPJAyKZNr0LaRGlrLaLKdOWzmWZJt/Ax8u3
KcnkE4IzzS5pX2D2FDlfvbX+eiOcls7iKBLmW2mjhcgLI8ZCNkZGDjB6GoGroHFvrdnplmXifUt8
cAeJJB5duFP3g2FLKfT061iXEccV1NFFKJY0dlWQDG8A8HHvWkZX3OOrSULOLuiaCzWa2u7hpJFa
3MYVBCzK+4kcuOFxjv17VGLa7njeWK3meGPO+RIyVXvyQMCtLTLu1TRdTs7q48hrprcK2xnwqudz
YHoDnHetO21izstMsY7S4tWubN54w91FNh0didyiPI5GBhh29qlyavZG8KNOaTlJLT8b/wCRyRp6
I0jqiKWdjhVUZJPoKkkjgS1geO43zSBvMi8sjy8HA56Nkc8dKW1me3vbeZHRGjkR1eQEqpBByQAT
j6Crucyj7yTJxpepeYYxp955gAJTyHzg5wcY77T+R9Kjl06+tk82eyuYo84LvCyrn0yRiugutX06
Ow1M2FyEu7xLd3MIlCvMHcyFSwyByOuKNX1myvf7f8u6Z1uxbi2yrfMEIJxkcY564rNTl2O14eil
8WvqjnJbW5hhSeW2mjhfGyR4yFfvwSMGpJNOvogheyuUEjBIy0TDex6BeOSfatzXtWt76C8azmtP
LvBE7xskwmBXGBzlBjGMjGRWk2taJBEUtrzcrX9vOCyyu5VSu9nL8buD93tjrRzytsCwtPma51Ze
aOMntp7Rgl1bywuy7lWVCpI9RntwaluNOvraIyXNhcxRA4LyQsqg+mSKn1O9jub2+fy45/NmkMU7
tJvRSTjADAcdRkHrz6V0U3iSwOpapcm4eSKaW0eFdjfMsbqzAAjjgHrim5SVtDOFGlJu8rdjk5rG
8tSiz2dxC0vEYkiZS/0yOeoqRtJ1KIqJdPu1Mh2oDA43NjOBxycA/lW/Lq0Vzq2n21pJZPbnU0uF
EKTCXczclt/yjOeQD1q1dtb/AGmzurt1j061vLmGYxXEjOJJAWYE7FO3Ix8ueCeTU+0l2NPqlN3t
Lt/wdfI5220bU7t7lFtJY2t4fOKyxOGYZwFAx9484HfB9Kjk0500qG/XzpFkDGT9wypFhtq/P0bP
t0PFdTNrejvDHbpdwp/xKpbRnSOXYrkrgDcC23g881n2er6adI07T7pm8gwXEN38jHyiz7kbGPmI
IB4zikpy3sVLD0F7qktt79bmEmnahNjyrC6fKhxthY/KejcDocHmqldgfEdlIk4jNvE8F6stqJ1l
8sRqgRQPL5BAXOCMfMfeuVvJjc39zOxjJklZyYwQpySeAecfWtIyb3Ry16VOCThK4lvbXF4/l28E
s7gbtsaFzj1wKljsbqaV44LS4keJtsipEzFDzwQBweD+RrQ0e9todN1G1nvGtHuFiMcwRmHyMSQd
uTzn07Vdv9ctbg+IJIJ3je7a2EHylS4j4Y8dPXn1pOUr2SLhSpuClKXfQ5jOWzU/2O5MBvBazG26
GbyzsHOPvYx14qDqa2DeW0/hkWly8L3Vuc2iosgZd0mXDnGwgjkck1Um1sZ0oRnfmdrIrf2TqYKg
6fe5JIA+zvyR1HSoo7C9llkiis7l5Yv9YiwsSv8AvDHH410Wq+IYLtNdSG8kZbr7P9mGHAKrnf1H
A+uM1YuvEljLNdPbzQeYt3FcwyXMcwQkRKh+582QVb7wwc1nzz7HT9XpbKf5HJ21leXil7azuJkX
7zRRMwH1wOKRrS5+y/a/ss32YjPneWdnXH3sY68fWuk0LV9Mtrs3l9cxpci+eY487ywjLyyKvGSe
Pm/hqprOrW1xp1lb20hcQy3DzREOqENKWUHpnI9DkexquaV7WM3QpKnz82vb5nP0GpZZklcNHBHE
AuNsZYgn1+ZmOfx7VFWpwtWYlFFFAgooooAK0dA/5GPSv+vuL/0MVnVo6B/yMelf9fcX/oYqZ7M3
ofxY+qPoFfuilpF+6KWvKPvFsLRRRQMKKKKACiiigAooooAKKKKACiiigDjb3/ksOkf9gW6/9GxV
stOLbWL6ZhkJCpx69Kxr3/ksOkf9gW6/9GxVryQ/adVv4QcFoVwT68YoAmi1BSZvNiZViOCwVm5x
z0XgVY+2wlZNpZ/LBLbUJHTPXGKrT2Nuyf6TMYzI5YjcuCxGOMj8u9PjsoTIswkZ/l2gjbggjHUD
n8aAJF1CD7NFLJuTzRkLtJPv0FNmvbR18p5GIcD7qtyD05HrTJdOLJbRJKwSHILEjdgjHHGKf/ZU
GOGcY2FSMfKV6EcUAA1CzhhjAkxHt+UBWOAOOeOPxpTfwAsN7ZVgpwjHn0HHJ+lVJtMMp220ykbT
HKWf5ic55wP04qwbO2mEkHm7m8wSMAVJU/THT60ATJf28hASQtld2QpIA9zjj8aZ/aMOxZNzbW+7
8jZPGeBjke9RnTYi0TbmBi+7tVB/Jffp0pkem2rkyQzsWB+/GV4yMEYAx09qALP2+2G794SFUOSF
JAB6c4qHUpBLo07jdggfeUqeo7GpY9PhjVwpYBkCHODwPqKp3cEMWiXAgcOjfNuyMZyOmOKAHeIP
+RL1T/sHy/8Aos1V8A/8k68Nf9gu2/8ARa1a8Qf8iXqn/YPl/wDRZqr4B/5J14a/7Bdt/wCi1oAm
8ReG7HxLaW1vf/aFFtOLiJ7edonRwCoIZeejGsv/AIVvpn/QW8R/+Dif/wCKrsaKAOO/4Vvpn/QW
8R/+Dif/AOKpr/DjTBGxGr+I8gH/AJjE/wD8VXZ1HL/qn/3TQB5h4E8Iwa94I0jVL/WfED3VzAHk
ZdWnUE5PYNxXRf8ACt9M/wCgt4j/APBxP/8AFUvwr/5Jf4e/69R/M12FAHHf8K30z/oLeI//AAcT
/wDxVX9C8J6d4aub65s3vJZ70RieW7uXmZgm7byxJ43GuiooAp6t/wAga+/695P/AEE1hfDf/km3
hz/sHxf+git3Vv8AkDX3/XvJ/wCgmsL4b/8AJNvDn/YPi/8AQRQB1NcT8Ouviz/sY7z/ANkrtq4n
4ddfFn/Yx3n/ALJQBveJv+RY1X/r0l/9ANeBjrXvnib/AJFjVf8Ar0l/9ANeBjrXbhdmfNZ58cfQ
KKKK6jwAooooGFFFFBSPVvB3/Iq2f1k/9GNRR4O/5FWz+sn/AKMaisD0DznXv+Rg1T/r7l/9DNZ9
aGvf8jBqn/X3L/6Gaz61hsjir/xJerFzSDHetDROdf03/r6i/wDQxXRandwK0cepXNvOyauHVciT
y7cYDKQPujoNpAOQeKUp2drG1LDqcHJuxxtWIYRded++gh8qJpP3r7d+MfKvqxzwK6nWNRQeQ0l1
a3lzHqpmtgsqMEhHRWbogJ28Ejp7Usmoww6xqF2monzZtKdlzcq/kzFg3lRuODjqAKj2jtsbRwkO
bWWxzsmlTwTz2ly8FtPbRmR0mlAzjHyqRkFjngVQzxiu1utWRPFet3qX8RR7BhayCdWGfkIVeTg5
DHb1745qG/vdLge3mhkiePUruK5vI879ka4LIw553M5x7ChVH1QSw1NX5ZbN7+tkchnrS+mDXR+J
dQ+1QeUBFMq3TSR3H22OZgrA/IFUBlXocHpjFVdEnEOn6pHBdRW99IkfkySSCM7Qx3KrnABPy9xn
HtVKb5b2MZUIqfKpfh5GLx6UuR6V3OlXNrHauL7VYJjNHdLOhuI0i3FuPkwCxbkhuMDj0FQafqFm
8eiT391HF9nZYRbm4R4yBE2yZkGdjbiAc9Kn2j7GqwcWl7+/9dzjP4OtH8H8q6uTV5E1nS5vs8E8
tr5qCWTUYpGmUg43SAALjJxu5/Gs/WdP8mea/hvTd2jTiFJZZd8khEYJO7GGA+7kHtTU7uzM6mH5
Ytxd7PtboYn4UEj0rpPDMsUU9xI9/wDZWV4SE89IjINx3ZZgeAOSo+9WtcapbWsz/Yr+3jWXWVd/
KdRmIouTx/CSOT0NDqNO1h08LGUFNyscVbW5u7mG2iKh5XWNS3QEnHNLdwvbXE1pIVLwyNGxXoSp
wce3FdZYahBDc3Ys7y1gY6u0krNIqB7bnGCfvLnPAz1Fc5qtwDrN9c28vBuneOSNv9skMpH5giiM
m2OdCEIp3u7j5dJvbeG9edY4msTGJoy2W+fOMYyD+dZufau21TW/Ln8QzW2pqXmW1+zNHMrHblgw
XByMZOQMEZz3qCa/g/tbX2sb60iu51tzb3DSKqkAL5gD9AScZGece1SqkuqLlhqV7Rl3/wCB1OQ7
A5o7Hmu0h1Czm8S6vDBcpa2l0Y993FcrC0bKpJKA8uGbOceue9RT6jbL4dihtRFPDJp4ilha9jjE
Ug5L+Uw3F92TkHn8qftH2I+qRs3z7X6djmba+vbRSlreXEKE5KxyMgP1warszM5ZmLMTkknJJpB1
rbg1BrbwfJbwyqk818yugYb2iMQB467SRj8Kt6bIygue6k9EjF68UV1niLUraewuoLVYp7OXyngb
7XH+4wAMJDgOnHBH4+tTS6jH/wAJPayfbrRtHDp9ni3qREfKYKdnVArYznHUdccR7R2vY2eGiny8
/bp3+ZxnTmiu0kv7e6trTStT1G1klubaZZ7kSKyIwcPCWYcHBDcZ/i96lh1i3VLn7JKm60ukjijN
2kJlgRAqgswIdSd5Iz/Fn0o9o+xX1WF/j/DXbtc4bj14oH1roJtR8vw5eQ2zRW7z6lJvt4pFYiJo
wMDHVe2RwcVsalq1gbgJtt59MaW2kQtcxuIEUrkLDtDrlcgjn+dNzfYhYaDT9/t07nIizmOmC/3R
+T54g25O7cVLZ6YxgetVTwMV2WsyS6rp/wBgN7b3M8+q/wCjrHMrlYirBSducL/LNclcwG3uZoGZ
HaJ2QshypwcZHtThK+5FSioNW2/UfeQrZyyW/nwXG3H72B9yNkZ4PfrTLW3e7uobaMqHldY1LdAS
cc13d/rcMV25tNQhVJdXjZ2jmHMXlx5Oc/dyMHtxiqdhqEEN1dfZLy1gY6u0krNIqCS25xgn7y5z
wM9RUKo7bGzw1NS0npf+ranL3Fg1mk5kmgZ4bhrdog/zkr1cDH3O2fWqX4V3VnqOmrdM1xc2xQ65
PMNzA4BjIV8f3d2Pm6VV0madLqWfUNbhMyeSV8q8iXevmPkM5ByAMnaOoIHYANVHbVDnhIOS5Zb/
ANdzl/ss/wBgF95f7gymEPuH38Zxjr0NQcba63xDfwz6Tf29lexvENRLiNJVw0RVT8q5+Zd5J4zz
k1Y1LVrAyBAtvPpjTW0iMbqNhAilchYdodcrkEc/zoVR9hSwsE2lPY5ZLGdbNdTSRVRbgQjDEOH2
lgRx049akea9vbWeS61IyLAUIhuJ2Z33HHyKc5x39K2vEN6bjQZYnv4LmQ6oZIUjnVysO1wv3eg9
u2e1R+GLuC1tLtZ7iOIvdWbAO4XKrKSx57Acn0o5ny81h+ziqigpaNfjY5nIJ6Yq5BYS3FneX6NG
I7Qx+YCTuO8kDHHtW3r2pJe6Tcq91HNIuqt5K7wSsOwj5R/d47cZpnh+5eLRdYghvoLO6m8nyWll
EZOC27BPTjv7+9Dm+W5lGhD2vLe6s/y/zMa3sXubC8vEaMJa7PMBJ3HeSBjj2qpx6V2L39jLfa75
N5BCk11ZlHBXBKt+8dQeGAOSeMHr3q9JqGmRzaQ9xeRXLQXco8ya4SVlUqdrMVGAN20/7P4Ue0fb
+rGn1aDWkv6vY4y30+S4028vUaPy7QxiQEncd5IGOPaoLW2kuruC3jxvmkWNMnAyxwP511+mahFb
2upLrt/a3ZkEAXEiTHG+TqB97aSGxzwQPasK1uJrfxRb3F1eLJKt2nm3EcoKsCQCdw427eMcYHBA
6U1Nu5E8PCKi777/AH/hoUr+0On3LwNNDM6EhjCWwCCQRyAc5FVeP7tdhb6m0t7rrR6nEl28irZ3
E0wwIhISyqzcAYK8Z5pLjVYYj4omsbuKKSV4PJMTBWcgESMnfqScj1z3pc72sU8NTa5lKy1/D5nM
RWs01vPcRR7obfZ5jbgNu4kLx1OcHpVcHnmu11XU4ZU8TRWt9EBKLdo1SZVWT5f3m3nBJ6EDk9K5
7RniGr2zPdfZE+bM+VG35T3bgE9M9s5qozbTbMqtGMZRjF3v1+djLOMnHSg9AO1egajrFvD4Zme1
vohqBt4E3rdJJLwzA/OuNxAJ5FZ02ownWNcexubSG8nW3NvceYiqR8vmAOeOuMjqcHripVRvobvC
wi0ue/y/4JzepWcunXcllO0byx7STGSR8yhh1A7EVWb7q1s+K5orrxHeTwzRzIwjxJGwKnCKDjHv
msTqa0i24ps4q8Yxm4x2TYlFFFUYhRRRQAVo6B/yMelf9fcX/oYrOrR0D/kY9K/6+4v/AEMVM9mb
0P4sfVH0Cv3RS0i/dFLXlH3i2FooooGFFFFABRRRQAUUUUAFFFFABRRRQBxt7/yWHSP+wLdf+jYq
203f21ebV3N5QwM4ycDv2rEvf+Sw6R/2Bbr/ANGxVvyWt6moS3Vs1viRQuJN3b6UAUxZXs7r5yyB
QSRmXplcf3ievvSQ21+sqKPOjVUG0BwR0OQfm9fY9ulaH/E3/wCnH/x+j/ib/wDTj/4/QBG1tcfY
oIw0vm71Mp805x35z/Ko4ob5b2RvMYR5Ozd86leMZ+bOfw/GrH/E3/6cf/H6P+Jv/wBOP/j9AFOW
31Bpp23y4GTHtl2gnI7Z6detI9leCSRozIqvKxO1+SMcH7w7571S1vXNV0a50eFre0l/tG+WzBDs
vlko7bunP3OnvW1/xN/+nH/x+gCvHb3ZkkWYyMGDDfvAUggY+X1z9Pqaggtb+O1jjZZtqscosoDY
28YOemc8ZqSa+v4bqK2drPzJenDYHpn61b/4m/8A04/+P0AVxbX/AJqOzyEqY84k4I/i4zUUv/ID
vWH3GlYp/u7hUsF1qdxLLGoswYW2tkNyfalubfVLq3eBzZhX6ld2aAG+IP8AkS9U/wCwfL/6LNVf
AP8AyTrw1/2C7b/0WtW/ESlfB+rKeosJh/5DNVPAP/JOvDX/AGC7b/0WtAHR0UUUAFRy/wCqf/dN
SVHL/qn/AN00Acn8K/8Akl/h7/r1H8zXYVx/wr/5Jf4e/wCvUfzNdhQAUUUUAU9W/wCQNff9e8n/
AKCawvhv/wAk28Of9g+L/wBBFburf8ga+/695P8A0E1hfDf/AJJt4c/7B8X/AKCKAOprifh118Wf
9jHef+yV21cT8Ouviz/sY7z/ANkoA3vE3/Isar/16S/+gGvAx1r3zxN/yLGq/wDXpL/6Aa8DHWu3
C7M+azz44+gUUUV1HgBRRRQMKKKKCkereDv+RVs/rJ/6Maijwd/yKtn9ZP8A0Y1FYHoHnOvf8jBq
n/X3L/6Gaz60Ne/5GDVP+vuX/wBDNZ9aw2RxV/4kvVk9q8kdxA9sCZ1kVogF3HcD8uB3OccUS/ab
i9kEscj3cspDIE+YuTyNo757VY0Mf8VBpv8A19xf+hiukn0+A6pb332Q28664sBO5j5qkhtx3d8j
tgc9KiU+Vm9Gi6kLp9Tj3Ro5THIrK6khlYYII7EULGZJEiiRnkdgqooyWJ6ADua7OLQrO+u7s3Vr
CDObt0lE0hlJSQjcABsCjpg8n9KoW9na2V/oUcentJJMltcPcF2yrNKuePu7Rnb0zkjn1XtUa/VZ
qzb0+Zzbo0cjRyKyupIZWGCCOxFSzWdzboWntZolVtjF4yoDYztOR1xzj0rc8T2dtZ3xFvEZPtEr
zG5LEhjuIaNQOBtPXOTn0FdFfaZaajrcyXaSSRPqDKyCVwpC2oYcA4zkdcZ7dOKHVskyY4dy5lfV
NL7zzoYJFGRznrXU2mlabqEugSC1+zR3rXPnRRyMQRHyoySTz0OPwxUBj0BdR00zMixbZFvoofO2
KwztI3APycZHbFV7RdhPCSWrkrade5z8cbSyIkas7swVUUZLE9AB3NOeJkkdJVZHQlWVhggjqCK1
zYNaeJ7bT54o4iLqFWS3d9oBKnKsTuHBznOQfStoaPpcmo2FvLa+a97cXayyvPJuGx3AI+brwOTn
OPU5qXUSFChKSetmnY4psA+tTyC5FtAZvO+zHcYN+dh5+bbnjr1x3rY8MFY21jeiS/8AEtlPzlhk
ArleCODnnvwMEc51NPtbK/0zw3p9zbrKLgXI8zeymMBmPABAznHXPTpTlOz2/qxcaN46S1a/Wxxu
CeaSuostO0aDQrC71PYi3fnB5SZS6MpKrsCAr2yQ3r7VU0S0tJNP1K9uLQ3jWvkokO9lBLsQT8vO
Rjj60c61D6rK8Vdaq/ovMyntJ4vNElpMhh2+bujI8vd93dxxntnrVcZP4V3Oq2i3eqa+CkjN5tii
xCdkDbsDa2OPxIOOoph8O6Vu0+SWKCMNNcR3AimkER8tGPLPyMFcEjjrSVVW1/rQcsLK7UH9/rY4
ilrq0stJe5kC2lvIINJa5lSC5Zl84EfLuDngD0P8R5PGF0bRLHU7PzJrOGFZoZ5YmE8pkGxsAgfd
CjgfMST1p+1Vr2JWDm5cqa/E5PFHNdhFp2jpAok03zJE0hL9pPtDgu+BlcZwAf8A9WKxNbtra1k0
9rWIRLcWUc7orMyhjnONxJxx6041E3YmphZU1dtP7zKwaSuq1vSLC0ttVSC1ljex8jyrgyMTNvwD
kH5e+flA6Umr6XYwJrMdrZ+S9gYPLcSuxbewzkE4xg8cZ46mhVUxSw8o3u1p6nMLhWNPkgkhlaGe
OSKUcFJFKsPqDW2XT/hXwHlx7v7SK78tnPl53dcZx8vTGO2ea1fEtvZXcuvTm1CXVp5DLMHbLFiF
OQTjGCMYHbqaXtNbWNVhbxbUtbJ/hc4vHGackLybBGjO7sFVFGSxPQAdzXR+INN0nTBd2kZRLmAR
m3KmUtKpA3b9w2e4Kn2pttaafFZeHGNsTdX1xh5xK6sm2YD5QDwccZ/Ec80e0Vr2JjQlztOS03/K
3qc/JG8UjJIrI6EqysMEEdQRSvBMrIJo3j3oHTepG5T0Iz1B9a6650/R7dZ57iO3eUi7kzPdOJGk
WVljG0OCwO05PPQ8ju+7gsb+1t4HtFM0OhLcJOJGDBlUbRgHGOvUHrS9r5GjwbSfvK/Q46GWSGVZ
YJXikXo6MVI/EVH0rf8AEqtc3Gjpa23ztpsTBUDsxGM4wSeFAPv1yTWB1ari7q5xVqbhJxvdISii
irMQooooKCiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUDuFFFFBIUUUUCCiiigArR0D/k
Y9K/6+4v/QxWdWjoH/Ix6V/19xf+hipnszeh/Fj6o+gV+6KWs241CSK6NtFavMwUMdrYpf7QvP8A
oGS/99ivKPvFsaVFZv8AaF5/0DJf++xR/aF5/wBAyX/vsUDNKis3+0Lz/oGS/wDfYo/tC8/6Bkv/
AH2KANKis3+0Lz/oGS/99imx6jKbqKCazeHzSQGZs9BQBqUUVlyajKLqWCGzebyiAWVsdRQBqUVm
/wBoXn/QMl/77FH9oXn/AEDJf++xQBpUVm/2hef9AyX/AL7FH9oXn/QMl/77FAHP3v8AyWHSP+wL
df8Ao2KuyrirmDVJfiDYawulyfZINOmtnPmLne7ow469FNdH/aF5/wBAyX/vsUAaVFZv9oXn/QMl
/wC+xR/aF5/0DJf++xQBpUVm/wBoXn/QMl/77FMk1WeFQ0unyImQNxcUAc/4+JjvPBzj/oYoF/Ax
Siu1riviH/x9eDf+xjt//RctdfNJ5MMkhGdilseuBQBn31vC+sWJaMEvv3e+F4rWrCe5ubq5tLtL
CQpGGI+YfNuGKt/2hef9AyX/AL7FABpv/H7f/wDXWtKucsI7ixuZpV06Vt/CjcPlHp/n0rR/tC8/
6Bkv/fYoAi8T/wDIqaz/ANeM/wD6LNU/AP8AyTrw1/2C7b/0WtLrU1/f6FqFnDpsnm3FtJEmXGMs
pA/nUHhZdS0fwpo+m3OmuZ7Syhgk2yAjcqAHH5UAdTRWb/aF5/0DJf8AvsUf2hef9AyX/vsUAaVR
y/6p/wDdNZ76ndRozvpsgVRkneOBVtZBNZiUDAePdj0yKAOY+Ff/ACS/w9/16j+ZrsK4/wCFf/JL
/D3/AF6j+Zq94o8Snw7HYeXptxqE99ci2hggdVYttZurEDop70AdFRXHf8JZ4j/6EHVv/Au2/wDj
lH/CWeI/+hB1b/wLtv8A45QB0urf8ga+/wCveT/0E1hfDf8A5Jt4c/7B8X/oIqheeJfEd1Y3Fuvg
TVA0sTICbu2wCQR/z0rM8L6r4n0LwtpekT+BtTllsrZIWdLq22sVGMjL0Ael1xPw66+LP+xjvP8A
2Spf+Es8R/8AQg6t/wCBdt/8crnvC174o0P+2vN8F6nJ9u1We9Tbc242q+3AOX68duKAO68Tf8ix
qv8A16S/+gGvA69WPip9e0jxRYXGlXWnXmm2n76Kd0cnzI2ZcFCR0H615TXbhdmfNZ58cfQKKKK6
jwAooooGFFFFBSPVvB3/ACKtn9ZP/RjUUeDv+RVs/rJ/6MaisD0DznXv+Rg1T/r7l/8AQzWfWhr3
/Iwap/19y/8AoZrPrWGyOKv/ABJerHh2ilSWJ2R0YMrqcFSOhB7Gp5L29nkiklvJ5HhOY2eViUPH
KknjoOnpVXbRTsSptKyZdXUdSRGRL+7VWJYhZ2AJPU4z3yfzpkd7fxQLBHe3CRKQyosrBVIOQQM4
Bzz9aq0UrIftZ9yZ7m5kiaOS4lZGkMrIzkgv/eI9fepvtt8ZN/2y537y+7zmzuK7SevXbxn04qnR
tp2QvaSXUnE04WECeUCBi0I3nEZJySvocgdPSpXvtReaOZr66aWPIjdpmJTPBwc5Gap0UWQKpJbM
mae4e5+0vPI04YN5pcl9w6Hd1zUgvL0PHILy4EkZYo3mtlCxyxBzxkk59aq0UWQe0l3Jreee1fzL
eeWF8bd0blDj0yKck95H5Gy7nTyM+TtkI8vPXb6Z9qr0U7ISlJbMtQ6hfWcZjtby4hQnJWOVlGfc
A1HBLc2bGS2uJYXK7S0TlCR6ZHaocUUrIr2ktNdiybu8ZpJDd3BaQoXJlbLFfuk8847elXtP1y+t
NSt7u6nuLtICxEcszHkqVyCc4PPX2rIopOKZUa04u6Zs6nrM9/b20Cm5jEKSRvLJcGR5lcglXbC5
HA4xVGG/1C2h8mC9uY4ufkSZlXnrwDiqnWjpQopKwpV6kpczepY+13fP+lTcxeSf3h/1f9z/AHfb
pTJZJZggmlkk8tAib2J2qOgGeg5PFRUbadiXNvdliW7vJ4kt5bqZ4Y8bI3kJVcDAwCcDih7i8kMx
ku5nM+PN3SE+Zjpu9ce9QYpKVkHPJ9SZZriO2e2SeVYHIZog5CMR3I6HoPypz3N3IJjJdzOZ8ebu
kJ8zHTd6496r0VVkHPLa5akvL2WEW8l3cPCAFEbSsVAHT5c44qMSThYQJ5QITmLDn92c5yvpzzx3
qGilZA6knuzpdP8AFcljb20bwTyvAZScXJVJy5JJkXadxGfWsLz7vbn7VNnyvJz5h/1fTZ/u+3So
OpFJUqCWqLnXqTSTexaFxdgwn7XPmFSsX71v3YIwQvPAI44qtiko21djJyb3YUUUUEhRRRQMKKKK
BBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQMKKKKBBRRRQAUUUUAFaOgf8jHpX/X3F/6GKzq0
dA/5GPSv+vuL/wBDFTPZnRQ/ix9Uezzu8ep3TRuqOLcbWYgDOR68VLFfmNF3lpWLOrFgFKlRnBxw
fqKcqq+tzK6gqYACCMg81bNrbmMRmCIoDkLsGAfpXlH3iKsWqFuZIDGvll1ySSwAyccY/Wojqj4Q
fZw0jjKqkm7jbnsMg/h+NaKW0Eb70gjV8YyqAHFVpBYRSrbvFAuQZNpVQBjv/n0oAiOquSyi3xyy
jc3OQueRiqyaldebDnBJUMylgA3yk/3citC1trUNJPD5chdid4wcewI7VN9htcY+yw49PLFAGd/a
b72fYWVxGET0LA55AJ7elPmlM95pkjRtGzF8ow5HFXjbQMpVoUIIAIKjnHSql2ipqOnKihVDPgAY
A4oA1KyYGK3mqspwRtIP/ATWg8iR7d7qu44GTjJ9KzYpkgvtRaQFlLxrtAznIxigCVbx006GdyrS
OF65G4n0wD/Kqy6tL5hfyg0bBAq5OQTn0BJ6GpreXTJVZVit0UttCsEG8j0FPlbTI4pGKW7CIYZV
VSRz0x9aAGLqTmRVNqUyUVtzYKlvbHtUEOo3O5nkUOqI7lFOOjY9OwzV7NgioSbdAwBXO0Zx0xTZ
fsCiVPNghdsq7AqGGevWgBv24yW8cyqwV5gi4I5GcZ5H+fWqs2qzuI0iiETSN8r788bsHqtX1NpD
HFbmSL5QNiuwyfQ0btO67rbCnGcrwetAFSPVibeSZreTai5Dc4bnGCcAZ+maZJqkyylmiTYiNuVZ
A2TkDqB7j86u5sEeRf8AR1YgmQfKCR70mNP8lXItvKGVVvl289QKAKtzqk4ikCQGKVULFnOMDIGQ
COfxxUusknTFJ6l0qUjTNu1vsu1OcHbhc/yqLV2R9MDIwZS64KnI60Ac/wDEXr4T/wCxjs//AGeu
tvf+PG4/65N/KuR+I3CeFWPRfEdln8SwH6kV1V7In2W4j3rv8ljtzzjB5oAXTv8AkG23/XMfyq3W
dZzLDplsz9CijJIH8zT5tRtoovMEqSDcFwjA8n8aAEtrh2a7aRhtikIXPAAAqo+oTSRExxqrCVEJ
JOCDz3A/lVrNgWeYi23D77HbkE8cmo1l00NJABbKoAZuFCn0+v8A9egBi6q7oGW0bDMFRiSAcnHJ
x1+maiuNUuGQPEqxjymY85IIbHp/nNXJ5NPtovOZIPm+YbQuX9x60SGyWSOOSBPus4JQYQdyfSgB
LO/a7d0MWwxj5/mzhskY6e1aNZlvNaQSOFnDeZmVpCy7euOoq0Lq3wD50eCAQd470AF9/wAg66/6
5P8AyNMtf+QVD/1wX/0Gi8dZNNuWRgw8pxkHPY06yAbTrcHoYlH6UAcz8K/+SX+Hv+vUfzNJ42/5
Dfgz/sND/wBES1U0/wCHd7o2nw2WleNNct7eBdkUbLBIqr6YMdclF4X1vwx4i0O41XxLLqMF1rrz
C2MXyxs0UzFwfU5OQoAyTxQB7TRWBpfiXS9dYCwkuTuiEyefZzQeZGf4k8xV3jkcrnGR6it+gAoo
ooAKKKoX99bafEkt1J5aPKkKnaTl3YKo49SQKAOCk/5GT4m/9edr/wCkz15vXpMn/IyfE3/rztf/
AEmevNq7cLsz5vPPjj6BRRRXUfPhRRRQMKKKKCkereDv+RVs/rJ/6Maijwd/yKtn9ZP/AEY1FYHo
HnOvf8jBqn/X3L/6Gaz60Ne/5GDVP+vuX/0M1n1rDZHFX/iS9WKOtAxg0Y4zWvZWVlcaZfXskF3v
s/KDBbhAH3kg4+Q7Rx0569aG7Cp03UdkzIxRuIrptU8PQvBb3GnPDEBpy3clu8rNKRjJbpjv7dDg
Vn/2XeG2M++DeLYXZi3Hf5RP3+m3HfGc47UlOLRc8LUi7WuZOTSc0ua1LDR59StVuBLbwxvOLZPN
ZgWkwCAAFPXd19jnFU2luZwpym7RRl+lHpWra6dc3lw1qJ7WG6EzQiGSQ72ZRyPlBwO2TgE0r6Nc
RWMF1Pc2sIncpHFJIQ5IfY2eMAA8k5xip5kaLD1Gr2MnJoxW3DoF5cPZiG4tpUu2dY5UZggZFLEH
KgjgHHGKevhm7lNuIr2ykN0G+z7JGPmlc7gPl4xg9cD3o549yvqtV7RMGjFatjo15qEEMsUkCvcC
QwwuxDyhPvbcDHqOSOhqf/hHzPp+kyW1wklzfmQNGxIVdpOSMgYCgfNyeemRQ5xQRw1SSul/Whh9
MUma149Fu5rqxgjnt3S+R3gmVm2HYCWByoIIx3Hes6SEW9w0XnRTBcfPESUbjPGQD7dKaknsZypT
gryRDSnrVpLKS7t7q4iZD9mQSPGSd7KSASBjoMjPpVsaTKLhLeW6tYpWWI7JHYEGT7qkBSc9M8YG
Rk0OSQ40pys0jJpa6VPDUh09oD5aaguoPAXZ227Eh8zHH0JBxnmqFvpV5c2kF0ssCQzRzSlnY/u0
iIDFgAT1YYxk80lOLLlhaq6f1p/mZGaK2Tol4tzLbtLbhUtPtnnBmMbQ8fMMKWPXpjtWS6gSMqyK
6qxAZc4YeoyAcfUCqUk9jOdKcPiVhtHU1Yt7YXUjqbmCBUQuWmYgduAACSeegBrUbQL2KS7Wa5tI
ltRGzyPI2xlkztIwuT0x0pOSW44Uak1eKMPpRnFah0i8NobjzIN4thdmHcd/lE/f6bcd8ZzjtWYT
8lCaexE6coW5luJnFJW3pGlHUpobmeWCKz+1JAfMkKmVjyUXA649cdetPk0OS4v7tbeS3ggW/a0h
Ezt87gnCAgE9McnHUc0nNJ2NY4apKKkluYZAXvSdea6iTRLS107SEkhge+upnjkVpZVZmEwUoCBt
AAyrHGe657xP4Zu5blRFLZw/appkghMrsfkZgVB29tvU4zx3OKXtImjwdRbavT8Tm8Utav8AY94b
Yz+ZBvFsLsw7jv8AKJ+/02474znHarun+Hh9iurm+eFmOmyXcEAkYSDurkDjHHTJ68im5xRmsLVb
tY52gDNJ1rc0zRZNW0+MW8cKzSXbRLPJIwOFi3lSuMY4zuznPHTmm5JasinSlUfLHcxCMUg5rQ1D
TJdPhtpjcW9xDcbxG8DMQShww5APU1SVQXRGkVFZgC7Zwo9TgE4+gNNNPVClTlGXK9xoPOaAPlNd
V/wj1nF4h1XTROrx29k0qSTOy+W/y8uQADjJPAIwR3rMOj3QuBD59u0Ztftnnhm2CL+8fl3deMYz
ntUKpFmssJVj062MfpR1q7e6fPpk6RTPG4kjWWN4myro3QjOD+Y7VBBA9zeQ20eA80ixruOBljgZ
/OrurXMXCSlytakVHrWsNHmM94n2u1EVowWeYlwiOWKhTlck5B5AI96adHvUuNQinkggWx2+fJKx
2jd93G0EnPUcVPOi/q9TsZZ4AoySa35dAitho7LcQ3kl5OY5Iw7CN8Pt+VgvC9ieTk5GRTj4evZ5
38g2sRllmW3gaViZPLJyEOOcYxlsZxS9pE0eFqbJXf8Awxz3Q0lbVpol3f21rNHcWytd7/Ijd2Du
UJBGApA+73OORWNn5apST2Mp0pwScluBoI4rX0zToLzR9SndUEsTW6xSuxVU3sQ2ecY4HJ6Ve0Xw
4ZNT09rmSC6sLkyoDFI4G5EY4OQpHIB9OKlzSvfoaQwtSduXr/nY5nFKfWtcaNePcWcMEtvMt7vE
MsbnZ8h+fO4AjGM9OnTNXNI0NW1bTY7sxXVleJK8bxOwDbEbjkKwIIHam6kUgWGqOSVuqX3nN0uK
6C+8PgwWs1uYbaAWFvNcSzO23zJDjsCeT6DAwelVR4fvVur6CeSCBbPaJpZHIQbj8uMAk56jj64o
U4lSwtSLtYye2aXrHmtfX7GLT9furSCMJDGI9qhi3JRSeT7k1kfwU07q5z1IuEnF7pjaKKKozCii
igArR0D/AJGPSv8Ar7i/9DFZ1aOgf8jHpX/X3F/6GKmezOih/Fj6o9wi/wCQ/L/1wH860qzYv+Q/
L/1wH86S8naCWEKAc7zyT2XPY8/jXlH3aNSsu9sPtj7vM2fIUPy575Hf1FUpL+6lmhUleAJNse5d
3yk461NHqE7W3mssQy6LvyCqg9SQGOMfUdaBl6ztjbiRmfe8jbiQu0fgKu1zr6hOXMjMrghCsa7l
3cnkcg/mPSp01S4dBt8lizRjcqnCluoPPUUAbdZOqwpcXthE+drM+cHHYVbsbh7i0WSQKHJIO3pw
cVBff8hPT/8Aef8AlQBFLoNrIFCvIuDk/NnI9OaghtCLq6jgBbyZomCluSAPU1vVm2P/ACFNR/3k
/lQBG2lyGJIxdkIpJ27Tgndn1/DnNH9mOUmTz9scikBFU7VOc5wWP6YpdSvGskVkK72zgMuQcD1y
Mfr9Kpfa7kT+f5vyGUjZk4Py5A6/5NAFy5sJrm4Qb1CeTsd9vXnsM8Uraad5dJgDvZhuTcMEYx15
qKDUbqd4VHkjzGxuHP8ADnGA3B+tFzeTxahJDEE+6Dl9x/hJ6Zx2oAa+nTx3KJEhaLMZLkj+H8cj
8jU76Tuhjj87lC55U4IbqOCD+tU5LycTmfIwUjG0k7V3Dk43Afn7VK+pzr5AZYVLpuJOWDHdjC7c
/XvQBMul/M4WZRGy4KBWw3AGT83t2xSnT5Ckf+kZdCxBdSwwwxjBOePrVOLUbiJ1DujMWIZ2JxH8
2ORnH8uoqV9SuvKDqsXEZckqcNhscc8UAWI9KEVo8AkU5cOGZTxjHoQe3rUeqwtFoyxPI0rB1Bdu
p5q1aSO11dRliVVlK5OcZGSKj1z/AJB3/bRf50Acd8QdLtYrfw2V8z5vENipy56GSunutFt0SWdX
kwkRIXPcA96x/iOP9A8Pv3TxBYMPf96B/Wusvf8AjxuP+uTfyoApx2v2vRrWPfswqtnGegoGlbcf
vhx5f8H938e9Ec7W2gxzIAWSJSN3Soob64mkjjUwkPIV8wKdpAGeBmgBF0gKFKyjcjBkYqTjBzgj
dgjntikOlEkEThSNp4j28jP90jA57fnTf7Wn8uRhHGxCM2wA5jw2Pm5/HtS2+pXM1xLGvkOI1Zso
p+fGOnPegCSTSg8YSORY8R+WfkJGM54yeOfc064tHkulIXcjQmJieg5yDjIP5VVGq3BtxKRAF3DJ
ypOMZwF39c++farE2oyw3CqFVkZQVUDLkkE4I3ZH5GgBTpDtJHK1yS8Zyu5SQOc45OcfjTJdGWaO
NfOIZQ24hfvE8jjPAB7UiapcOg2+SxZoxuVThS3UHnqKBdyzQXUbyIrxxlg0Q4GOnIY+nTigC5LA
LXRpoQd2yFhnHXg1NY/8eFt/1yX+QqOdt+jyu3Vrck/980+zO3TYG9IVP6UAWq4rx2hl1TwjGuMt
q+Bn3t5qoaD4n8ceItFtNVs9E0Jba7TzIxLfyhgM9wIzXOpd+OLnxLoA8VWNlBaLrr/ZHjf94R5c
2BgcFAOhIDcDIOc0AdT4d8GX+guifbTIj6VHbO7XMsr286jBMO/OI26kcYKrgemVZeAdTt9CjtZ4
bC8ZbhpJLK6nH2aUmPYJP3dumHB+b7rEnnfnkepUUAcJB4Ru18RC8u0sZYSzNLeBnNxNG0Wz7OVI
P7oH5uXboOM/NWbe+AtWu9Eit5L2G5u1ui0u51RZIVTy4vmeGXDqoVvufeZiCODXptFAHn3iDwRc
as11LC9vJcNDbQxvcFSzrGzGRWZonUBsrn5GBI5FVX8CagLzTZdtlcG3Fnm4upi09uIZN7xxlYgG
Vh7J0HHp6XRTuB5pJ/yMnxN/687X/wBJnrzavSJP+Rk+Jv8A152v/pM9eb12YXZnzeefHH0Ciiiu
o+fCiiigYUUUUFI9W8Hf8irZ/WT/ANGNRR4O/wCRVs/rJ/6MaisD0DznXv8AkYNU/wCvuX/0M1n1
oa9/yMGqf9fcv/oZrPrWGyOKv/El6sdV601D7NYahY+Tu+2GI+Zuxs2EnpjnOaq28azXEMTSLGsk
iozt91ATjJ9h1rWutGilu47XSJGu5XWSVz5iFUjDELluADgZOePmGPdSa2ZdGE7OUPT7x3/CQcbv
sn/ML/s7Hm+2N/T9P1pJ/EL3Wlw2bi8jaKAQfubwpG4AwNybTnjryM1YvPD6WcnlMk7uNM+2OI5I
yEfJHJPVPpk88VlSaZfxXsdi0IN3KdqwpIjuDwfmAJK8HPOP0qFyM6JPEQun18u5Qro9O1K0sfDk
QuIRcTR6kJkiWYIeEGGIwcqcEdPxFZv9kXfmQW/2cNJMhaNklRkZRnJDg7cDBzzxTjoeoCQRG2XJ
g+0B/Nj2GPpu37tuPxqpcr3ZlSVam24xfbY0tK8TyadJNJJas7S3bXbeTP5YYsMFWGDle4GevrVS
41wTPpzG0XFnPJLtZ8iTdL5mDxx6d6q2mj398zfZoUkCyeVu81ArPz8qsThjgE/LniqToY2ZJFKu
pwysMEH0NJRhfQuVeuopPb08zopPGpee0k+xSP8AZ5pZf3t1vJ8xWG3O3gDdwPQY96r2HiD7H/Zh
+y7/AOzfN/5a483eSfTjGfeobzw7f20ohmtQkhRnIMqYVV5LMd2FHI5OBSWmiSGe9gukkhktrFrp
AjKQxBGOeQVIPb86VqaWhftK0nrdPzRLbeIZYdJtrD/Soxbs5WS0ujDkMc4YbWDck+lSWPiA2SaT
stN0unNLhvMwrrITuGMZB+bg5/A1Fb+HdRlnhiliSKOW4W3eTzUPlsezANwcfwnBPA6kVC+k3Bu7
u2t1Wb7K+15fMVU5OFyxbaCcjjOc8dQaLU2PmxEUnZ9lp2sy3HrzRazbajsvJ/ID4iurzzMblK/K
dgx1984rAwelaH9lalJd3Fstowmt/wDWhmVQnOBlmIHPbnntVnVdBkg8TS6NYpJLIApRXZdx/dh2
54HrTTinZGM1WqR5pLr26sraXqP9k33nmEXETRtFNCWwJEYYIJwcdj+FaFv4mkttQvbyS3d5LyVJ
Mxz+WyBWJC7tpypGARxkCqDaJeJPDC1uDJOGMZWRGVtud3zA7eMHPPHepV8P373Atltg0rQ+eCsy
FTHkDcGztIyR3pPke46brQSUU9H26tGgPGR+1Gf+zhg3jXJUzdQ0Xllfu+nOf0qKDxMLKG0gtbN4
4YIZoW/0k72EhUkhgo2sCoOQO/SqSaNqBDulsGVA7ELKhYhDhiq5ywBGMgEU+LQNWnhjmjssxyRr
Kp81M7GGQ2N2QOevbvRy0zVVcQ3ez+7+uw621xodYi1Em+lMeABJeZY4OcF9nKdflx361nXk/wBr
vri62iPzpWk2Dou4k4/WrI0i+SdYDbjzGh88ESIU8vGd+/O3bx1zirH9gXkVhfXd1sg+yeWREzof
MDZOQd3THTGdxyByDTvBamLjXqJxadld7feQ6Rqo0m6nmCNJ5sDQ5jk8t484+ZWwcEY9O9X9R8Uf
2lDfxmzMf2xIU3GbcV8ok56c5z/+us3+yb4W/wBqNv8AufLEv3l3BCcBtmd23PfGKmXw9qTrARaj
/SwGhHnJlwVLA4zkDAJyfShqDd2OEq8YcsU7enfQluPEUl1psNm4vI/KtxAPJvCkbgDA3JtOeOvI
zWLjH3q17LTbHbKb+9jidZUQeVOjjZgu7cbs/KMLj+IgVkyeWZX8vd5e47d3XHbPvVRstEZ1nUkk
5v8AzNaw1WOwsktZLMTrFdi7jKyeXhwMfNwcjgcDHTrU0XiWZY72MxTxJc3bXQa1uTFIrN1UttIY
Yx2HSsH8KPwocIsUcVUikk9jZfXGZtNYwM39nTvMDJLuaXdJ5nJxwe2ec9faraeKmS/srv7Hn7FL
PIE877/mszYzt4xux3zjtXN/hR+FL2cSliqq2fb8LG3ceInudMhtHF3GYrcQfuLwpG4AwNybTnjr
yM0+PxKq2jJJY77k6edP87z8KI+cHbt68jPPOO1YP4UfhT5Ii+tVb3v+QCt7RtefSLaGIQed5Vy9
xu83bndGY8dD0znP4Vg9aORVOKkrMyp1Z05c0XZl25v/ALVpthZ+Xt+yeb8+7O/eQemOMYql2oPQ
UHrQlYUpuTuzdufEXm6pf3otGRr20a3dTNkKx2jcPlHGFHH60tv4je3u4Zltzti08WLBZirsoJO5
WA+U5x69KwTznigHGOKj2cdjb61Vve+pbvL37bcLKXu3woXNzP5rd/4to456YqCNws8ch34VgT5b
bWwD2ODg++DUec0nSqtZWMXUblzPc6Y+LXZpB9nnVZLaKBnW7KzZjLEOXC8k7jn5eeKoxa0gGoQ3
ENxcw3qoHMtzmUMn3Tv24Pf+H09KyPXijseKlU4o3li6kt3+RtNq0W/TdlmUXTrhpYwJsqVMm/Yc
rnI4G7P4Vdj8UiOeKZtOV7m2knkt5PNICeaSSGXHzYJPcVzHGKCRnpR7OLBYuqtn+CNuy8QfYW0o
/ZN/9neb/wAtcebvJPpxjPvWIV+UUvJ59KbVKKWxnOrOaSk9jX0vVl0q3ngNss4mkgk+ZsAeUxbB
GOc5xWq/jV2ltJGspH+zzSy4kud5bzFZdudowBu4x2GPeuU6dqM57VLpxbuzSni6sIqMXov87m9H
rv2e50yS2sFit9P8zZE8pdm8w/P82Bjjpxx70+LW2i1a21EpeziAOBFc3nmY3qV+U7Bjr75xXPce
tHHpR7OIfW6vfqnt22Oih8VvFD5H2eVYjaQ27NDcmOTMecMGA4zk5GD9arQ6vGgvY7iCe6gvBGXE
txmTKHK5k289x06emKxxyTxSDoeKOSIPFVXa72/U0NS1L+09Wmv/ACBD5gQeXu3Y2oF6/hWeOWoz
R0q0rKyOecnOTlLdiUUUUyAooooAK0dA/wCRj0r/AK+4v/QxWdWjoH/Ix6V/19xf+hipnszeh/Fj
6o9smS7h1J7mG185GjCf6wL/ADqf7XqH/QM/8jrV5fuilryj7xbFD7XqH/QM/wDI60fa9Q/6Bf8A
5HWtCigZn/a9Q/6Bf/kdaPteof8AQL/8jrWhRQBn/a9Q/wCgX/5HWoCLy5vbWSWz8lIixJ81W6it
eigArIAvLa9upIrPzklKkHzVXoK16KAM/wC16h/0C/8AyOtH2vUP+gX/AOR1rQooAz/teof9Av8A
8jrR9r1D/oF/+R1rQooA5yTxHNH4gg0VtNk+1T273KYmXbsRlU8+uWFaf2vUP+gX/wCR1rnb3/ks
Okf9gW6/9GxV2VAGf9r1D/oF/wDkdaPteof9Av8A8jrWhRQBlRzXsRcppWC7bm/0heTUd79vvIBD
/Z+z5gd3nKelbNFAHGfEf/kGaH/2HrD/ANHCuruVMlrMijLMjAD3xXK/Ef8A5A2lHuNasCD6fv1r
sqAMaP7aLJLWTTN6BQp/fqM4qwLvUAMf2X/5MLWjRQBlyzXs0TRyaVuRhgj7QtMhkvLdSselkAnJ
zcgkn6mteigDnD4lkXxGmhHTJPtj2jXgHnLt8sOEPPrlhxWn9r1D/oF/+R1rmpP+S3W3/YuS/wDp
THXa0AZ/2vUP+gX/AOR1qKWa9miaOTSso3UfaFFatFAGTPLqE1tJCNN270K589eMjFXIUaOwjRxh
liCkehAq1Ucv+qf/AHTQByfwr/5Jf4e/69R/M0njmz1eZ9AvdI0ttSm0/URcSW6zJESnlSL95yB1
YUvwr/5Jf4e/69R/M12FAHFf8JT4z/6J1df+Da1/+Ko/4Snxn/0Tq6/8G1r/APFV2tFAHFf8JT4z
/wCidXX/AINrX/4qs+58feIrPU7HTrjwNdJd3/mfZ4/7Ttzv2LubkHAwD3Ir0WuK8S/8lO8Df9v/
AP6JFAB/wlPjP/onV1/4NrX/AOKo/wCEp8Z/9E6uv/Bta/8AxVdrRQB5dY2mt/8AFc6vrOjPpa6h
aReTC9zHMT5cLq3KE+3X1rzyvfPE3/Isar/16S/+gGvA67cLsz5rPPjj6BRRRXUeAFFFFAwooooK
R6t4O/5FWz+sn/oxqKPB3/Iq2f1k/wDRjUVgegec69/yMGqf9fcv/oZrPrQ17/kYNU/6+5f/AEM1
n1rDZHFX/iS9WKK0dMvodPmuxOshS5tZLctGAWTdghgCRnkDjIrNHFFNq6sRCo4O6Oom16x8yRYF
uvK/sg6ehkRdxbdwTg9MUo8R2y6ppl+Y5bme28xbqd4EieYMNo4BIJVc9TzXL5ozUezidP1yp+X4
O5vf2rbtqNm9wZbyxtTJiBrKGIJuHZVbDc4Jzjp71ebxJavc2JR7hYre3ME6i0jxMpYErs3bVUgf
h79a5Ojih00NYyor26+v+Z0lt4htoLW6to0e3zfNdWzrbRS7AeAu1iApAAwQax5bmZpLo5ikE8ju
8kttGXJbqckEr9AeD0ql1opqCRE8TUkkm9jqG8R2p8Q3+peVN9nvYDD8yozoCF52NlW5XoT0NVU1
pFuLx5ZZrhZbB7OI+QkOzJyBtVsBRg8jnnpWF/s0lL2cRvF1H16t/edkfFWlR24itrWaJPtUE6xr
bxxhFQglcg5Y8E5Pr2rPt9ctIZ9XDLMYNQcSpI0COyMGLYMbkqR8xGc9h68c9R7UKnFFSxtRtPsb
Y1ZJxqMV/NczJfGFjOqIr5jPQoG2jIyODxgHBrT0rUbfU/H0V8iukEisAr43DbAVPTjsa5HHXNHG
MDnNDprWwli53Tetmn9xuxatpcU2lRPbTz2ViZi/nxqS5k6fJuIwuF7888Cr9x4mspLbyY45yRpk
tnu8hIwXYrg7VOFXg8Dp71yeD+dL8wzR7NF/XKiTStr/AMMdJoXiDTdKsoke2lFyIpUkaOBGMhY/
Kd5O4ADjApjeIbY5/dzc6ONPHA/1nHPX7vv19q52jrR7NXuZ/XKnKo9EdDF4jt47q3ZopjEumCxl
OxGIbJO4K2VYdODjvTJtdinsL20muJ5vPihSBxbJGE8ssQpRWxt+bqM/SsHqTRjg0eziP65UtZ/1
pY6CfXkm0yKGKWS3mWzFpIq2kbiRQMf6wkMoIxkc47VHNrSPc6Zd28kts1nZxwF1jVmDKCDhSwBB
zjkjg9Kw846UUKCQpYqpLd9vwL2p3FreavcXFpB5Vs5XZFtC4woB4HAyQTx61A/2f7PD5fm/aMN5
2/GzOfl2Y56dc96g6UlUlbQwlNybk+oUUUVRmFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABR
RRQAUUUUAFFFFABRRRQMKKKKBBRRRQAUUUUAFFFFABWjoH/Ix6V/19xf+his6tHQP+Rj0r/r7i/9
DFTPZm9D+LH1R9Ar90UtIv3RS15R94thaKKKBhRRRQAUUUUAFFFFABRRRQAUUUUAcbe/8lh0j/sC
3X/o2Kuyrjb3/ksOkf8AYFuv/RsVdlQAUUUUAFFFFAHG/Eb/AJAWmt2XWbAk+g89K7KuO+JX/Is2
v/YVsf8A0oSuxoAKKKKACiiigDipP+S3W3/YuS/+lMddrXFSf8lutv8AsXJf/SmOu1oAw9e8Sab4
XtILnU5ZUjuJhBEIoXlZnIJACqCeimsn/hZ3h3+7q3/gpuf/AIiovGssc174NeJgyHX4wGU5HEUw
rS1HxVY6Vqk9nfiVAiRtG0UMkzSFhISAiKTwIyc/4UAUv+FneHf7urf+Cm5/+Ipr/Ezw6UYBdWyQ
f+YTc/8AxFSP4ztF1ya08p3tIrOK5+0xxTOZDKxCIiLGd2QM8Nk9lODjRj8T6VPewWkVyzy3KK8e
2GQrggkBm27UY7WwrEE4PFAHFeBfGuk6H4G0jTb+DVYru2gCSoNMuGwcnuEwa6L/AIWd4d/u6t/4
Kbn/AOIp9n430y6jM7rNbxq88YWSCXzXaOUR/IgT58kjhSTnjBIOLq+JNKa0W6F1iIwPcZ2OCERg
r5XGQVJAKkZByMcGiwGf/wALO8O/3dW/8FNz/wDEVoeH/F2keJZ7yHTZZ2ms9hnjntpIWTfnbw4H
Xaaswa3ZXOq3OmwtM9xbY84i3k8tTgHb5m3ZuwynbnPPSsPw7/yVXxt/1w07/wBAloA7WuK8S/8A
JTvA3/b/AP8AokV2tcV4l/5Kd4G/7f8A/wBEigDtaKKKAMfxN/yLGq/9ekv/AKAa8DHWvfPE3/Is
ar/16S/+gGvAx1rtwuzPms8+OPoFFFFdR4AUUUUDCiiigpHq3g7/AJFWz+sn/oxqKPB3/Iq2f1k/
9GNRWB6B5zr3/Iwap/19y/8AoZrPrQ17/kYNU/6+5f8A0M1n1rDZHFX/AIkvVhRRRVGIUUUUAFFF
FAwooooEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFF
ABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFaOgf8jHpX/X3F/6
GKzq0dA/5GPSv+vuL/0MVM9mb0P4sfVH0Cv3RS0i9BS15R94thaKKKBhRRRQAUUUUAFFFFABRRRQ
AUUUUAcbe/8AJYdI/wCwLdf+jYq7KuNvf+Sw6R/2Bbr/ANGxV2VABRRRQAUUUUAcb8Svl8Kwv/c1
OxbHr/pEddlXHfE3/kT1/wCwjZf+lMddjQAUUUUAFFFFAHM654O0vX9Qh1G5lvoLyKIwLNZ3bwMY
yd20lSMjPNVP+Fb6Z/0FvEf/AIOJ/wD4quxooA8abwFF4K1Twy8Wq6heNda+jSLNL+6BMUpyE/ve
rEkmvR7nw9aXOtDU5JJ/PChcKw28JIvTGekrd+w/HL8d/wDIS8G/9h6P/wBEzV2VAHGz+C9H1Cym
tWnklTyba1JIil2fZyxU7WRlLfOchgR7Cp7HwjZ6bd20tpeXcCQxxpJbweXFFOUBCs6ogx948LtU
9wawzY61JHpEmmpes9vqFyLuJZTHESbjJeTE0bHjJHyyAgnK8ipNT8P67d3uqTxXOqx+c1x5Ii1N
41AEaeTtUPhf3gboBnndweRsDSfwRZO29b+/SSOaWa3dTFm3Z5RKdnyYOGBxu3cMQc8YdceCLee2
gg/tHUYtkU0UzxvHuuRKweQvlCMlhn5QuOg44rKax8W/2zq9w32qe3e2ZYIkl2JLlVAVWFyNjg7j
kRpn/noMgiz4Z0nW0m0xtXkv1S2S5JV7xsFmkUx7wJpC+E3DDO4Hr0pgbEXh22i8Vya9uka6aEwh
fKhUBTt/iVBI33ejMQOw6Vm+Hf8Akqvjb/rhp3/oEtdrXj+teHdb8ReM/G1poevzaVOILDdtGFmH
ly4VnHzKPdfU5BpAewVxXiX/AJKd4G/7f/8A0SKIPCfiOOBFbx5qilVAIFrbEDj3jp1n4Ju4/Een
6zqfiTUNTksBL5Ec0MSKPMXa33FB6Y/KgDs6KKKAMfxN/wAixqv/AF6S/wDoBrwMda988Tf8ixqv
/XpL/wCgGvAx1rtwuzPms8+OPoFFFFdR4AUUUUDCiiigpHq3g7/kVbP6yf8AoxqKPB3/ACKtn9ZP
/RjUVgegec69/wAjBqn/AF9y/wDoZrPrQ17/AJGDVP8Ar7l/9DNZ9aw2RxV/4kvVhRRRVGIUUUUA
FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAU
UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVo6B/yMOlf9fc
X/oYrOrR0H/kYNL/AOvuL/0MVMtmbUP4kfVHv46CnVVEowOR+dO84eo/OvN5WfaKtEs0VB5o9RR5
o9RS5Wa+2iT0VB5o9RR5o9RRysPbRJ6Kg80eoo80eoo5WHtok9FQeaPUUeaPUUcrD20SeioPNHqK
PNHqKOVh7aJPRUHmj1FHmj1FHKw9tE4rxNPe6P450vW49F1PUrRNPntnGnxLIyOzxsMgsOMKam/4
WFP/ANCP4v8A/AGP/wCO11/mj1FHmj1FHKw9tE5D/hYU/wD0I/i//wAAY/8A47R/wsKf/oR/F/8A
4Ax//Ha6/wA4eo/Ojzh6j86XKw9tA5D/AIWFP/0I/i//AMAY/wD47R/wsKf/AKEfxf8A+AMf/wAd
rr/OHqPzo88eo/OjlYe2geRfEC/v/F+gR2Fn4a8XWNzFcxzLJ9lRVKgjcCBLzgfMP9pRyOtdNa+N
JLOzhgTwX4wZIkVA0lpGzEAYySZck+5ruPOHqPzo84eo/OjlYe1gcf8A8LCn/wChH8X/APgDH/8A
HaP+FhT/APQj+L//AABj/wDjtdf5w9R+dHnD1H50+Vh7aByH/Cwp/wDoR/F//gDH/wDHaP8AhYU/
/Qj+L/8AwBj/APjtdf5w9R+dHnD1H50crD20DkP+FhT/APQj+L//AABj/wDjtH/Cwp/+hH8X/wDg
DH/8drr/ADh6j86POHqPzpcrD20Dx+Lxzc+NJfC73GiX2nGLX0AnkX9zLiKYYUnnd6jBA9a9N1/V
pNG01bmK3S4le4igRHl8pd0jhAS2DgZb0NYHjuRrceGrqO0uriKz1mOaVLSBpWVBFKM7VBOMkfnV
fVvEuj63Yi0vdF1+S3MqSNG2jTMH2sG2sChBBxgj0pWK9pEsy+NJksFmTS42aCKee8RrrasaQyGN
/KbZ+8OQcAhARjJXOKk1XxPdWl9q1s+nyW8dvatPb3O5w0+FUkqTEYhjcRy5bj7uKoy+IfDE0VpF
J4V1N0siDao2gSkW5GMFBs+XGB0x0pW8R+G3v7i9bwtqjXU6eXPOdAlLypx8rNsyRwOD6CnYPaRH
af4q1ZrWa5v7RDJEl7L5ME3ytHDOE6GPO4LnHODjn73yzv49L3FgLTSbi6hu2d0kgWWTMAkCCQbI
2HP3sMVG3B3c4qvB4o8P2s0k1v4a1aGWUs0jpoMqs5bG4khOc4GfXApkniLwzMLNZfCmqOLHH2QN
oEp+z4xjy/k+XoOmOgosP2kTqtCuZ57S5W5ffLDdzQ79oG5Vc7eB/s4H4Vh+Hf8Akqnjb/rhp3/o
EtQWHjPStOtjBDpPiMq0jysz6TOSzOxZifl9Saj8I3T6j458U6qtlf21rcxWSwteWrwFyiyhsBgM
4JH50rC9pE9A5o5qDzh6j86POHqPzp8rJ9tEnzSVD5w9R+dHnD1H50crD20DM8Tf8itqv/XpL/6A
a8Gr3fxKw/4RfVOR/wAesv8A6Aa8IHWuzC7M+ezh3nH0Ciiiuo8EKKKKBhRRRQUj1bwd/wAirZ/W
T/0Y1FHg7/kVbP6yf+jGorA9A8517/kYNU/6+5f/AEM1n1oa7/yMGqf9fcv/AKGaz61hsjir/wAS
XqwoooqjEKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKK
KACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoooo
AKKKKBhRRuo3UG3tphRRuo3UB7eYUUbqN1Ae3mFFG6jdQHt5hRRuo3UB7eYUUbqN1Ae3mFFG6jdQ
Ht5hRRuo3UB7eYUUbqN1Ae3mFFG6jdQHt5hRRuo3UB7eYUUbqN1Ae3mFFG6jdQHt5hRRuo3UB7eY
UUbqN1Bf1qYUUbqN1AfWphRRuo3UB9amFFG6jdQH1qYUUbqN1BP1mYUUbqN1AvbzCiiigycmwooo
oEFFFFABRRRQUj1fwb/yKln9ZP8A0Y1FHg3/AJFSz+sn/oxqKwPROC1nStSk1zUXTTLx1a6kYOsD
EMCxwQcciqn9larjH9m3mf8Ar2f/AAooq03YwrxXO/UP7L1X/oGX3/gO/wDhR/Zeq/8AQMvv/Ad/
8KKKLsy5UH9l6r/0DL7/AMB3/wAKP7L1X/oGX3/gO/8AhRRRdj5UH9l6r/0DL7/wHf8Awo/svVf+
gZff+A7/AOFFFF2HKg/svVf+gZff+A7/AOFH9l6r/wBAy+/8B3/wooouw5UH9l6r/wBAy+/8B3/w
o/svVf8AoGX3/gO/+FFFF2HKg/svVf8AoGX3/gO/+FH9l6r/ANAy+/8AAd/8KKKLsOVB/Zeq/wDQ
Mvv/AAHf/Cj+y9V/6Bl9/wCA7/4UUUXYcqD+y9V/6Bl9/wCA7/4Uf2Xqv/QMvv8AwHf/AAooouw5
UH9l6r/0DL7/AMB3/wAKP7L1X/oGX3/gO/8AhRRRdhyoP7L1X/oGX3/gO/8AhR/Zeq/9Ay+/8B3/
AMKKKLsOVB/Zeq/9Ay+/8B3/AMKP7L1X/oGX3/gO/wDhRRRdhyoP7K1X/oF33/gO/wDhR/ZWq/8A
QLvv/Ad/8KKKLsr2cQ/snVf+gXff+A7/AOFH9k6r/wBAu+/8B3/woooux+ziH9k6r/0C77/wHf8A
wo/snVf+gXff+A7/AOFFFF2Hs4h/ZOq/9Au+/wDAd/8ACj+ydV/6Bd9/4Dv/AIUUUXYeziH9k6r/
ANAu+/8AAd/8KP7J1X/oF33/AIDv/hRRRdh7OIf2Tqv/AEC77/wHf/Cj+ydV/wCgXff+A7/4UUUX
YeziH9k6r/0C77/wHf8Awo/snVf+gXff+A7/AOFFFF2Hs4h/ZOq/9Au+/wDAd/8ACj+ydV/6Bd9/
4Dv/AIUUUXYeziH9k6r/ANAu+/8AAd/8KP7J1X/oF33/AIDv/hRRRdh7OIf2Tqv/AEC77/wHf/Cj
+ydV/wCgXff+A7/4UUUXYeziH9k6r/0C77/wHf8Awo/snVf+gXff+A7/AOFFFF2Hs4h/ZOq/9Au+
/wDAd/8ACj+ydV/6Bd9/4Dv/AIUUUXYeziH9k6r/ANAu+/8AAd/8KP7J1X/oF33/AIDv/hRRRdh7
OIf2Tqv/AEC77/wHf/Cj+ydV/wCgXff+A7/4UUUXYeziH9k6r/0C77/wHf8Awo/snVf+gXff+A7/
AOFFFF2Hs4h/ZOq/9Au+/wDAd/8ACj+ydV/6Bd9/4Dv/AIUUUXYeziH9k6r/ANAu+/8AAd/8KP7J
1X/oF33/AIDv/hRRRdh7OIf2Tqv/AEC77/wHf/Cj+ydV/wCgXff+A7/4UUUXYeziH9kar/0DL7/w
Hf8Awo/sjVf+gZff+A7/AOFFFF2Hs4h/ZGq/9Ay+/wDAd/8ACj+yNV/6Bl9/4Dv/AIUUUXYeziH9
kar/ANAy+/8AAd/8KP7I1X/oGX3/AIDv/hRRRdh7OIf2Rqv/AEDL7/wHf/Cj+yNV/wCgZff+A7/4
UUUXYeziH9kar/0DL7/wHf8Awo/sjVf+gZff+A7/AOFFFF2Hs4h/ZGq/9Ay+/wDAd/8ACj+yNV/6
Bl9/4Dv/AIUUUXYeziH9kar/ANAy+/8AAd/8KP7I1X/oGX3/AIDv/hRRRdh7OIf2Rqv/AEDL7/wH
f/Cj+yNV/wCgZff+A7/4UUUXYeziH9kar/0DL7/wHf8Awo/sjVf+gZff+A7/AOFFFF2Hs4h/ZGq/
9Ay+/wDAd/8ACj+yNV/6Bl9/4Dv/AIUUUXYeziH9kar/ANAy+/8AAd/8KP7I1X/oGX3/AIDv/hRR
Rdh7OIf2Rqv/AEDL7/wHf/Cj+yNV/wCgZff+A7/4UUUXYeziH9kar/0DL7/wHf8Awo/sjVf+gZff
+A7/AOFFFF2Hs4h/ZGq/9Ay+/wDAd/8ACj+yNV/6Bl9/4Dv/AIUUUXYeziH9kar/ANAy+/8AAd/8
KP7I1X/oGX3/AIDv/hRRRdh7OIf2Rqv/AEDL7/wHf/Cj+yNV/wCgZff+A7/4UUUXYeziH9kar/0D
L7/wHf8Awo/sjVf+gZff+A7/AOFFFF2Hs4h/ZGq/9Ay+/wDAd/8ACj+yNV/6Bl9/4Dv/AIUUUXYe
ziH9kar/ANAy+/8AAd/8KP7I1X/oGX3/AIDv/hRRRdh7OIf2Rqv/AEDL7/wHf/Cj+yNV/wCgZff+
A7/4UUUXYeziH9k6r/0C77/wHf8Awo/sjVf+gZff+A7/AOFFFF2Hs4h/ZOq/9Au+/wDAd/8ACj+y
dV/6Bd9/4Dv/AIUUUXYeziH9k6r/ANAu+/8AAd/8KP7J1X/oF33/AIDv/hRRRdh7OIf2Rqv/AEDL
7/wHf/Ck/sXVv+gbe/8AgO/+FFFK7GqcT07wlDNa+GbSG5jmSUGQlZIyGAMjEZH0IooorK56Cij/
2Q==
Serif SansSerif
d/dt(Smneg) = rate_reactn_dis_onset*prop_smneg*Latent_slow_prog + rate_prim_dis_onset*prop_smneg*Latent_fast_prog_infn
+ rate_exog_dis_onset*prop_smneg*Latent_fast_prog_reinfn
+ rate_relapse*prop_smneg*Recovered
- rate_natural_cure*Smneg - rate_detect_and_recover_smneg*Smneg
- m_rate*Smneg - m_rate_smneg*Smneg
d/dt(Smpos) = rate_reactn_dis_onset*prop_smpos*Latent_slow_prog + rate_prim_dis_onset*prop_smpos*Latent_fast_prog_infn
+ rate_exog_dis_onset*prop_smpos*Latent_fast_prog_reinfn
+ rate_relapse*prop_smpos*Recovered
- rate_natural_cure*Smpos - rate_detect_and_recover_smpos*Smpos
- m_rate*Smpos - m_rate_smpos*Smpos
d/dt(Recovered) = (rate_detect_and_recover_smneg+rate_natural_cure)*Smneg
+ (rate_detect_and_recover_smpos+rate_natural_cure)*Smpos
- rate_relapse*Recovered - force_of_infection*Recovered - m_rate*Recovered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Serif
SansSerif
INIT Sus_to_infn = total_popn-Latent_fast_prog_infn-Latent_slow_prog-Latent_fast_prog_reinfn - Smneg - Smpos - Recovered
; Number of individuals who have never been infected in the population at the start
INIT Latent_fast_prog_infn = 10 ; Number of individuals who have been recently infected in the population at the start.
; These individuals face a high risk of developing (primary) disease, before
; experiencing the low risk of disease through reactivation, in the absence of reinfection.
; The average time period after infection or reinfection during which the high risk is experienced
; is determined by the value of ave_period_initial_high_dis_risk
INIT Latent_slow_prog = 10 ; Number of individuals with "latent" infection in the population at the start. Individuals with latent
; infection can develop disease either through reactivation or following reinfection and have
; passed through the period of high risk of (primary) disease following initial infection.
INIT Latent_fast_prog_reinfn = 10 ; Number of individuals with "recent" reinfection in the population at the start. These individuals face a
; high risk of developing (exogenous) disease, before experiencing the low risk of disease through
; reactivation
INIT Smneg = 50 ; Number of individuals with undetected smear-negative disease in the population at the start.
INIT Smpos = 50 ; Number of individuals with undetected smear-positive disease in the population at the start.
INIT Recovered = 10 ; Number of individuals who have recovered from TB disease in the population at the start.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Serif SansSerif
force_of_infection = (ecr*Smneg*rel_infousness_smneg + ecr*Smpos)/sum_pop
; Force of infection, defined as the rate at which uninfected individuals and those in the latent category
; are infected and reinfected respectively.The force of infection is calculated using the numbers
; of smear-positive and smear-negative cases and the average number of individuals
; effectively contacted by each person per week. Smear-positive cases are assumed to be more
;likely to transmit infection than smear-negative cases. The relative infectiousness of smear-negative
; cases, compared to those who are smear-positive is determined by the value of
; rel_infousness_smneg
ann_risk_of_infection = 100* force_of_infection*tsteps_pyr ; Annual risk of infection
ecr_pyr = 15 ; Average number of individuals that would be effectively contacted by each smear-positive person
; during 1 year
ecr = ecr_pyr/tsteps_pyr ; average number of individuals effectively contacted by each person per time step
ave_rate_become_latent = 1/ave_period_initial_high_dis_risk
; average rate at which individuals move from the initial high risk of developing disease after
; infection to the low rate of developing disease (through reactivation)
rel_infousness_smneg = 0.22 ; Infectiousness of smear-negative cases, compared to smear-positive cases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 SansSerif
ave_period_initial_high_dis_risk_yrs = 5 ; average duration (years) during which individuals experience increased disease risk after infection
; or reinfection
ave_period_initial_high_dis_risk = ave_period_initial_high_dis_risk_yrs*tsteps_pyr
; average duration during which individuals experience increased disease risk after infection
; or reinfection
dp_pyr = 0.03 ; annual rate of disease onset following initial infection
prot_init_infn_vs_reinfn = 0.65 ; protection provided by previous infection against disease following reinfection
dx_pyr = dp_pyr*(1-prot_init_infn_vs_reinfn) ; annual rate of disease onset following recent reinfection
dn_pyr = 0.0003 ; annual rate of disease onset through reactivation (only applies to those in the latent catogory who
; have not yet been recently infected or reinfected
rate_prim_dis_onset = dp_pyr/tsteps_pyr ; weekly rate at which individuals experience disease following new infection
rate_exog_dis_onset = dx_pyr/tsteps_pyr ; weekly rate at which individuals experience disease following new reinfection
rate_reactn_dis_onset = dn_pyr/tsteps_pyr ; weekly rate at which individuals experience disease through reactivation
prop_smpos = 0.7 ; proportion of incident cases that are smear-positive
prop_smneg = 1-prop_smpos ; proportion of incident cases that are smear-negative
mort_rate_smneg_pyr = 0.19 ; annual disease-related mortality rate for smear-negative cases
mort_rate_smpos_pyr = 0.22 ; annual disease-related mortality rate for smear-positive cases
m_rate_smneg = mort_rate_smneg_pyr /tsteps_pyr ; weekly mortality rate among smear-negative cases
m_rate_smpos = mort_rate_smpos_pyr /tsteps_pyr ; weekly mortality rate among smear-positive cases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Serif SansSerif
ave_wks_infectiousness_smneg = 95 ; the average duration of infectiousness (weeks) of smear-negative cases
ave_wks_infectiousness_smpos = 51 ; the average duration of infectiousness (weeks) of smear-positive cases
rate_natural_cure_pyr = 0.20 ; rate at which cases cure naturally without treatment per year
rate_natural_cure = rate_natural_cure_pyr/tsteps_pyr ; rate at which cases cure naturally without treatment per time step
rate_relapse_pyr = 0.001 ; annual rate at which individuals who have have recovered after treatment or natural cure relapse
rate_relapse = rate_relapse_pyr/tsteps_pyr ; rate at which individuals who have have recovered after treatment or natural cure relapse
; per time step;
rate_detect_and_recover_smneg = (1/ave_wks_infectiousness_smneg) - rate_natural_cure - m_rate_smneg - m_rate
; rate at which smear-negative cases are detected and recover
rate_detect_and_recover_smpos = (1/ave_wks_infectiousness_smpos) - rate_natural_cure - m_rate_smpos - m_rate
; rate at which smear-positive cases are detected and recover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Serif SansSerif
tsteps_pyr = 52 ; number of time steps per year
year = time/52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Serif SansSerif
crude_annual_mort_rate = 0.021;
m_rate = crude_annual_mort_rate/tsteps_pyr ; general population mortality rate per time step
total_popn = 100000 ; total population size
Sum_pop = Sus_to_infn + Latent_fast_prog_infn + Latent_slow_prog + Latent_fast_prog_reinfn + Smneg + Smpos+Recovered
Tot_deaths = (Sus_to_infn + Latent_fast_prog_infn + Latent_slow_prog + Latent_fast_prog_reinfn + Smneg + Smpos+Recovered)*m_rate
+ Smneg*m_rate_smneg + Smpos*m_rate_smpos
New_entrants = Tot_deaths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Serif SansSerif
Tot_Infous = Smneg+Smpos
tot_new_cases_undet = rate_reactn_dis_onset*Latent_slow_prog + rate_prim_dis_onset*Latent_fast_prog_infn
+ rate_exog_dis_onset*Latent_fast_prog_reinfn
; This sums the total number of new cases and excludes cases which have relapsed.
tot_new_deaths = Smneg*m_rate_smneg+Smpos*m_rate_smpos
tot_new_infns = force_of_infection*Sus_to_infn
tot_new_prim = rate_prim_dis_onset*Latent_fast_prog_infn
tot_new_exog = rate_exog_dis_onset*Latent_fast_prog_reinfn
tot_new_reactn = rate_reactn_dis_onset*Latent_slow_prog
prop_dis_recent_infn = tot_new_prim/tot_new_cases_undet
prop_dis_recent_reinfn = tot_new_exog/tot_new_cases_undet
prop_dis_reactn = tot_new_reactn/tot_new_cases_undet
New_cases_react_pHK = rate_reactn_dis_onset*Latent_slow_prog*100000*tsteps_pyr/sum_pop
New_cases_recent_infn_pHK = rate_prim_dis_onset*Latent_fast_prog_infn*100000*tsteps_pyr/sum_pop
New_cases_recent_reinfn_pHK = rate_exog_dis_onset*Latent_fast_prog_reinfn*100000*tsteps_pyr/sum_pop
Ann_TB_incidence_pHK = tot_new_cases_undet*100000*tsteps_pyr/sum_pop
TB_mort_rate_pHK = tot_new_deaths*100000*tsteps_pyr/sum_pop
TB_prevalence = (Smneg+Smpos)/sum_pop
Serif
rk4
ecr_pyr
15.0
0.0
20.0
0.5
false
false
ave_wks_infectiousness_smpos
51.0
0.0
102.0
1.0
false
false
ave_wks_infectiousness_smneg
95.0
0.0
190.0
1.0
false
false
prot_init_infn_vs_reinfn
0.65
0.0
1.0
0.01
false
false
1.0
-1
0
1
Graph 1
true
Graph
1
3
125 88 170 68
true
255 255 255
true
year
Ann_TB_incidence_pHK
true
false
TB_mort_rate_pHK
true
false
ann_risk_of_infection
true
true
year
false
false
false
false
true
false
false
true
false
true
true
true
false
false
false
0.0 0.0
1
2010.0 2024.0 14
false
0.0 300.0 6
false
false
1
true
false
false
0 0
1 0
2 0
year
Ann_TB_incidence_pHK_and_TB_mort_rate_pHK
ann_risk_of_infection
0.30000001192092896 0.5
0.30000001192092896 0.5
Graph 2
true
Graph
1
3
131 63 148 76
true
255 255 255
true
year
prop_dis_recent_infn
true
false
prop_dis_recent_reinfn
true
false
prop_dis_reactn
true
false
year
true
false
false
false
true
false
false
true
false
true
true
true
false
false
false
0.0 0.0
1
2010.0 2024.0 14
false
0.0 1.0 10
false
false
1
true
false
false
0 0
1 0
2 0
year
Proportion
0.30000001192092896 0.5
0.30000001192092896 0.5
1
-1
true
true
true
true