Adds a sprite set shape node to the scene.

sprites3d(x, y = NULL, z = NULL, radius = 1,
shapes = NULL, userMatrix,
fixedSize = FALSE,
adj = 0.5, pos = NULL, offset = 0.25, ...)
particles3d(x, y = NULL, z = NULL, radius = 1, ...)

## Arguments

 x, y, z point coordinates. Any reasonable way of defining the coordinates is acceptable. See the function xyz.coords for details. vector or single value defining the sprite radius NULL for a simple square, or a vector of identifiers of shapes in the scene if shape is not NULL, the transformation matrix for the shapes should sprites remain at a fixed size, or resize with the scene? positioning arguments; see Details material properties when shapes = NULL, texture mapping is supported

## Details

Simple sprites (used when shapes is NULL) are 1 by 1 squares that are directed towards the viewpoint. Their primary use is for fast (and faked) atmospherical effects, e.g. particles and clouds using alpha blended textures. Particles are sprites using an alpha-blended particle texture giving the illusion of clouds and gases. The centre of each square will by default be at the coordinates given by x, y, z. This may be adjusted using the adj or pos parameters.

adj and pos are treated similarly to the same parameters for text3d. adj has 3 entries, for adjustment to the x, y and z coordinates respectively. For x, a value of 0 puts the sprite to the right of the specified point, 0.5 centers it there, and 1 puts it to the left. The other coordinates are similar. By default, each value is 0.5 and the sprites are centered at the points given by (x, y, z).

The pos parameter overrides adj. It should be an integer or vector of integers (one per point), interpreted as in text3d to position the sprite relative to the (x, y, z) point: 0 is centered on it, 1 is below, 2 is to the left, 3 is above, 4 is to the right, 5 is in front, and 6 is behind. offset is the fraction of the sprite size to separate it from the point.

When shapes is not NULL, it should be a vector of identifiers of objects to plot in the scene (e.g. as returned by plotting functions or by ids3d). These objects will be removed from the scene and duplicated as a sprite image in a constant orientation, as specified by userMatrix. By default the origin (0, 0, 0) will be plotted at the coordinates given by (x, y, z), perhaps modified by adj or pos.

The userMatrix argument is ignored for shapes = NULL. For shapes, sprites3d defaults the matrix to r3dDefaults\$userMatrix.

If any coordinate is NA, the sprite is not plotted.

The id values of the shapes may be retrieved after plotting using rgl.attrib(id, "ids"); the user matrix is retrieved using rgl.attrib(id, "usermatrix").

## Value

These functions are called for the side effect of displaying the sprites. The shape ID of the displayed object is returned.

material3d, text3d

## Examples

open3d()
particles3d( rnorm(100), rnorm(100), rnorm(100), color = rainbow(100) )
# is the same as
sprites3d( rnorm(100), rnorm(100), rnorm(100), color = rainbow(100),
lit = FALSE, alpha = .2,
textype = "alpha", texture = system.file("textures/particle.png", package = "rgl") )
sprites3d( rnorm(10) + 6, rnorm(10), rnorm(10), shape = shade3d(tetrahedron3d(), col = "red") )

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o+NBuhR3s2kEp9FEVIZmBztG2RIknKbpHjtCIU1cQMkzpZI3FQ++fHZRRHzgrsTbAH4zwrg/9B9PfhKvo0GWMEghYTo1hdoxKicYKf90zvcHt1eOkFfqEAObS4q8cnnMEbaCTIzrFS4MIFInBgNCM/6UkR8SqD4IIDsB68gIMr4/SZW4ZDx/1BFymFhhhQziMBUAFUTZD4CgNmkJnxQ0/4Vt98bKPzLvJ1gfd/JPMBXdziQyCeQ1ROratDDU3DGqgnSw5HPDIg/z6N66h9SYv0sBDKV4nSTdnd70P7+vm4Ht9Y3G1LN9LDK3OafmImomtlxyO3NTE0fxyFW6qEqKkCqlQ/S1XwcoAZbUw63NBDEolSqcKEC5g9pgIrKwZpH0LVPef+O/6aK0E0D6k8WTKcoVFSUzm/G54yCPT8SMLG3xpwksGmJjc03Y6Q1gIwR9xS459QEhIjCgThPydeO8KUPUFWxytaRYmqmkkyAHhP/DZDDQk1STHTrG0AXhVZo87qosiL6UQCyBgIaC/TMAULipDN8UiBO+DMHFveU9Ahk+CqPQ91Twk/E62zghQBExLTATxUN1gKpcogBR1eBpkhtAahV36D6/9q+X2SGplo/k/0B/6h51QvceoIncviCXRM8pyrcBRCIOAF4ZEae1IuIgJyeSPfKh35AAAKoqrEOUoGoVQbYJlDxz8oJHm4mCTNMHgCImJxW/YJvTaOf+C+Xjtg4wTUAMaMxFbzG2yOqOzwssal/MzPcIemOjAjPKYbk6QFECSB+SABMgWkIIqr80FQBY/w/dDQAwKHdOToSqarqqgoA37B51BUNND6vhnIKHySi/D98okH5gL+q4FvFUZYJZGZ4xcYqC59noMokj/g4YKGfAwFYNe3mdrWT/DUjwBK+/6f+vanacVzYhBAROY7jOMw2PKDeDjO1ghMFIlLVuKrZ47CNk1EviDRPc+p+3cxMZLjcq83+oQlx04DmAYiomVkXg3Iww/tG1S1cQqs5airGTlGTIP5TDZTVGWJnyTJT5VhhjM3RQZ/Z6JiBiRmWyogaFwligMMHYGc0opqjiMw8M90rWfCIzCdtIhgdjAOZn2mAmJlU7JDFbNwavmR9Snf6wPD/9nh8e7y9vbXgh0FqZlbVg+7sSjMr97rhQv3TNxZe/T8bhgIaBrpQ9QXQmszFwI5YrmZRcz46n5XUkAfxjT/8sbBPVdMqchQTHg+2xpoz9G3qPlEFTBcyBFEVZ3idQYsZmeHvd4dmnDZ0wZ4XzKA3ZBu8i57pC5Szyzin+HEmiBH5RDmFXN930YBNJIUDP4hyHCKV9IuaHmz2CktgFSE/gDgA9q9fGiaWEIEVDqBrqNrW0HSpIpudqzNE8Bdd+zga5WbOP1KICEiGu0dV0BFJSCSfIIuqcYHPBNA1gKqqmUp3/yGVB8zTCcyq7IWqWGOBCYWJylE1wcYcBZPDQgx1+RwAKx84SHjo7nBu6C9hb+dERURmOPkAJx9YMvwcVJhZQgSeiWJRtWZ8LQCtXP1gEl3OV40B0VQFbH0ZICrGQFmJz1F+2XawtOnVnSLb1gqGyJSAbx6pcNdhCw8/sDs84SBR0pHntMWDCVFEpYCedIqe5QTTfcMFvieARwV8UWpAtboUR4UfsEdCDVgN8sKPq+CT0QDg4PRQqKpg9QSbIHF+ogFxaYERDnE0UTJOagZNoBxDROMAoG2UBpwDGKd/FQVEIGaqJODQu5LEVm0dm0pROhZUkMiMymNsrxFVTc1MGVc3564dHi5R4MMbscW9pLyWgJjJdND/rin2pij3d7/qEew0LcLc5eWNecA3QOVQTXaGYCaQw7rr960KTrzxuR9Y2YyJCAmz8mDL9+BIjS5u8AUU7XnBft+QWHqkpJ+VAXvjvtMTbIZI5wHe2FCcHil4pxP0Gy6gN2xukxRpbTHNui2+Vwg4TI2hj4WD2XRkrjMVM2VzPI7jeBzHJdSXRqiZ2XUKr5dRdJ9d8DigqmbNPKAO2eTazANaWxK0vSlBrrjA8gEL0qIGlGIegJUXZNFjh0DMjgWHiyr0WzdERwOGS9RVYTm7HqrqIenVGUok1mRozwiz/KUG+JFV7j5R3k5Quf87i6InytsH4YCTeYBvPiA+qwXIBhOW9czM9GJ5Ou59aLPVHQDZMqpKTo1uCb91k61xLVO1vRbof9eftP0LSlaCqjbXwso/S7+K7FSxapDJGiFVxM2j3UqCXQNMC9QxlcYDmAEeJsb2ePkAq4CpUFaHVSF2qsB+0eb1qk2+bRlZAxJXH5A3J+BkicMdgDsyTk4QlE2XD4BvVWFENYk8Mk4B4jwbHYXfcIFNAAx/VH2aghwQHGowEiTaCZI7Ni0xQHGoFlvMFqlar4OVYmUCa0/ADoquJRkL9++U2D2ltD+8xuUqzKHLX6LCTARH5VkM+Xz+igtcBWAlADFpDcCDXWGYaOhogDEf0OYPQnBUWlhquDpFWzhTgSVSRJsDszTgth9gNT4KG2gNSESEV0J0Znbkz6UB4UmNqJogPDLxLBHAb7iA3tKAibXtNU1WsasbMKBqpnasdj6O8s4TBLZ8YPPqHh4RHqqKHRpidai3b180BVq7aQNWQKE2VinY/MXF0e4wUPOHRDaarS4vNMBYorIjJu18OvE92hl1r5Aq/lYawExRkQUlDSjafjMXfRpazAns+4OaN5MzM9wq3TzAIkJmeqSI/F/mAzg9AHfJcI9I8TNRr7LTRKoWTHePhLiHhPurKCDYCBWtCnotpPfZSMhWbBc7tGcFL0NUhRe8vT3e3t7e8HnWJ60VmxZcECWdOcXeR8Rim3/4lil2Cjm5zYWWLi/C4MZlxAe9nd88H3ZH3FoQrPUTWgFrnqm/3+wwtQLD2HLXCU79/O17dUU1RsgZUSx0PtiFJX8fN2HNjAuuE67rdfxgAoeI6mHVDFUpZkhBYirH+ljoLPnnFYsMJt92BqnoECd18QbAKP49EwgsICRjjcpGRoZGufGu79ML9kZGuEcKP2Z4zGmTs1qGeyJPz7sAHiz8O6s9WP0+6BP4MZNWFUORIxoA+cbU+TGs8qsAaBxEtyB53x7DPKC7wWsQ4kqHrygQicwTnpl+AnlG+wBQAMFocDZvMOIsnIQ+4i6AtxKA0NHiISqm0GM0YhhdZqo4uj/AoucNxRuxrUvc8V+1ikTdqLMfNSB7ZrSboRG9QykKDSlYB6i6v7q/8HOc4JnjBM+GwJ7EBSLdz1wa45+BopsTIKwBudkXG+A2lCDC2IWVUOMvLgNqKoxzk/Tyv7dcuBBIVWsH0Z/mzwxOq8mKs6oz1DUeesZX6sfgsuXidV9AVnyUrZra2C0tFyL2W2VYe6HYib2jug3T1jIs+ZE3ZfyRjyEhi76kF2+tS5uXq+Myu7W6ZLYYyH0gRNQkOsMjIvgQmJrIgco7juULChHiYAQ7BWMSB5EimQlTCA7RbcVWls+58gRz9gVGDcJXd3TyAB9fUCqt7ol80ge4BzI9PL2dY0Z6BP5iH+GdTrLxg0aG9G4BEe7u7vOiQz55X/KzZnCONHGJ/z1o1xld1YRmW3+gP8YsIqyUqxjphRNcwKSdaHWbO7u0HmWnJrZ+3KbpdCcc3JLQa/5zez8VMi17I4eNPSqDX2WDZBmsB74KgK6gRnTNRFFaZETVtuRiFeXWOjYrLDckZc9vsItuN4K7ANCIDWF8dKKxL4okjVRU0VHtkuBtzkuOQ00OVlnNu1azD4IgBMCeXDGyTa8MpA1c2DLNKsi0i5TVK2p/hcu2p2suuAmArrjRBG2IZBv26my5J8Bw9L6jdtl7Wqc9W3vUE4moas4cEpuM/Yd0kNhAFFW1bhgzFNQ7k07Y0Cy27l1tuMdk8r3gU3dO9WcmUNVaxG43S+OXUKSIFLqWJn54fhFTOewwIg26Z8h2e2trUutiuh4XW56sowY2NmAr0tj6fl2I9RWe1IUYvxQALpPwL4y/w4/2nHy9bHYvcNaeIeXGJb43VTseZhsdp15u8nKrIkY25eYw6/KzzejFb2oWXms7dl+l2NmrN36G3ouC6t8fx/45/TQOLFR29zVLmlfnCgjUDhM7juEF8G3NBujW3hcVNZP2FdtPvP4lpekda7ohtwX6nUl2iQJVyJlqx3fW+4AdCrVDt/hfeUFFfjPjFF2Z8gxMaket0nidcXvhDAX/F4W3r2ZptbTkjBS4y8T/qMC/JkLcPbxXZzwdrAIi3CMspxXohf1EtY35+RMId4+uB4bA2Qvrtnh6I3R/iLiXLwKiZsfxdhzW0QPXrsAwJksKl8aQugNqdogxGsgiZJhUnlF5SkLUHoMGH8aGrpkdx0M+pnnXnPYaHdcEQ+9q7bHg/SzAtURgxb+xJcmsKgrko57fZpiCttsDqKIKNTkOM7PHTqQUUbNDl1PskKkrWkpkonSRgI0y0hzHcdRs3/6n6ZbtcbJ5+nqQIfIK9nE9WUiPMrD2CqkVMZsI217VTKWyVUjnPI1tdPgvGJWcunq6YwsEyhKAqY5yUHfGVzpf0DV+JJfFzkVXHKyxfgr/8SLrXUkjeqe7NK5496aytSCUANharSFQFYT7eXoERK2nnDp+s09Ch2DaZVGbwONhJleyJpmatTumY/xxmEpG9O8vqLCxFMxWhlyKe/GYW6E4BJ9J0vlYG7n9sit85dOmzQufb55/mNWG68i/gnelw4WjTZK8v/6lVzKxUxsknIXdyl+NLT3ZiilEmzCn28l2mcpwfxKKQZsZ3cW53GWgt6aprvxwlZqCSFE73r4dx8HxitH7Au6aS6xklJodZse4wSw7YtQnNDXZkU7TNLKZXNPMI8y4RdB97989eu8I6RCqNhsbv6e4I8S7dxl0tb8UmWKPt7fH47AVxvvawpqa4gwFmECNd4sAVI/Oe7R5ad0HaEcWZWFH+zZlAk2Y9Za2rRH4D6FAZqPDOCqTQwVmAn0cjf8Xx0Gl2AGHgt8ngoeayoOC7/kCmAJaTSJii0LGCQTKCZPd2LlJ8j7/h6a0ENdHeHh0LzC7RXYWSzZxPh3IeB8wlN8Xnoh3Nz9PT8EzPQZSizXEvVD2mWB6MXkt1/RRFqAxGZh1EbPwIp0zMz1JuHyc9miNiho7Ps38vHSoPuYduybjs6RF1qCAqMrHBbR6AQO71OW/iczU5VQKj5+6yLZws6FfqtJKuS3REC1WWXXT9UKVFVWFHSamh6lYsUz1ika2ExvasXwgdLC2XKPKY95QCYiZIrYw+ao3uLgYG7m+DUr1M5ewqryhZOo0OCaXMBXmATtzoHzBMbwfEcPUPqvCnIRfNq5KE0ttjftfA9bkdIjCpe7Liz7VgH0MGNeZFF3NpomLqw4vnk/kPH/zI9Vq6ET1Comw8J8maQmoh6QXr0GvMNtHt7YnbFOfD3ShY6fyqQZAdsij+15bm1DllZ3JFQtgT3a02xZXwsrMdQN3ylQ4W0RWIghcqNhWxu8v/sy0X9IU7Zsue0UozRORWgZ99xmfaABky2Eb99+1r9fDyG2CSVjZm1xXjjJt18EFLm8oF8j2uEHFFDsdGjsctzU72WuD7TYvF3C0V/kpMrBR7F9ogOKqAZNGfQKkyp6GD6/Qdt5fT2H3Pk5CNbgnvY1+zn6ADgN6BzFln2l4AdzeP9n/a6g68kPUYN+fozEqbzUOpIfKoQqkHSb60CMhaofiIEWGOMB/sF5YI8HIlK0yEXnw4+r99jq+7pAGHsX9DCV+Lxnu5wyDhrOVdaI4vyfjd04eEF4ZQpzVUCjKjGd1AZ5xRoafFnmmRzGIqi/g4ZEXE5AXwzxNbxh58nfLDHs1qekq9Ly9JltrSQDVo4rnaSH2ax2RIFMD+8ZwWQNNFzB1e9FVYcfLKUhTw/dWaExAvr0d1o1/4XW8yBkukTkJkJObN0Exa/xC9w7WIg10GDgGAGaFHBkQ1UOtRgl3U8JWs1yCd+14Uz3s1YOqqX1fAJtf/TBDOCjAxHzdjifN0UhZ9SZP5in3e7R/bQcoOtM/OwhePMFCRUX1QuO9Dl7nC7pv4963Qazix8t3BfAj60eLamRmJrfTItugktz7TOOSjWPUyj9U0M32roZF9ThMkdHH57ACP0ShEuu8wIoDU3l9fBxyA+K7AthOON1/QG7eAGqXDgtmCwxkf/pKS1hK6FZtXjgvutohsjfJlwOShWcxGOTrwS+57WjDZS9Bfl8ALJ0+fONJYuUsxJ+7B3snU+8FJ91J5vQTsDc42E84jqOYQj2aUYMkombIhMpeVHFGj7DSJqPZ0Rc1Pnp3AF9uLNDLKr8XGsBlteNsPebKTc+YyA6YjV/SHZm6ENFmWvwoAF13FY4IiNnRynN39i+iQBt4T4NcnbjalyKYH/Q4qmfjqchQe5hmQo+3Q0U1wzTjPM80BNRMglHreZ7uESHl+TOL8qhRENGjQJ7DAPeAHnYUCnQch+nKd0zteHsYYIepIOLxsPLpdigSqpKZgGq6A1EnykgYjszkhqo8kLBjG8yBIEKOoNK2Bp4eAJmeL9/KGvahsvzSZ3Lw+VNZN+x39du9mQprl9wvvvmyyu++xaY1nwuAdn4fqMBXIvjqgEJ3c/PKtqwIcJhJRqQcvyyBzFRR+YFvY4xm1/lzDbh6Tp7Dks9/8Nfyqa1WK2PoiHgcRZ+C/NRO9M9+/4+E9f0+aOpX35f33/CFgJkdfvrzvG7BOKNJA5rdD/+T17VfakD7EP1ilxwqIfkxE/ju12chbM17oKvi9oPJ9bO/+MYHih9Vls7j9Yu8D7kJIDK/XsKb30ksRTdApVO7Lo0zPUVV8sSvS0BehcFPfcD3UuGufH5YtbZTyni9l2RBX3pTl+wFjr9+M8sglwf7ThCASB247e354pEE7wKiiEr5MyMr2WKFU+4x/aySpflbwMNM0v2J4uWnmTbMnpkiGX4+T/cUhT/PMKuWt2pGFGTtkaLVdzR9HA+Ry8FpYfe1/iNyfWAHxPQ4xBT+/jyNf6776VAUXTYyH4/H23E8Hmgy1gUS2yUYOzfkpSFlIvKrPOBy+EgvV2jW7lQOQ0zRQ3/+PJ/pvxAV3BNQNZ7tzgW22mE9tYYXJsDG5pJo9arscwEUCfuzPIA/Ka8S6LmVeTG587N6xWufQMZ5xon4jlN9ET0CWbXEJx6LJU98BEREZbf5qgA+j6tTE32aB1yLMN0WkPC1mW56ZsZC+fqGZE/W/VzUqUbsTEhnOzMPP93d944Xvpfb/owG3vMA/op4Kbiah0BExHkW9LfdUwYQeDtMvwxrn0Qle6jwDIuIZOp3wuMqh8ux6E9EnQta++EV6VUFW2pdC4/6SGKP9Eci1+fnTpDKl3/4Z5mpDUuhQMWmZ7cP2NCMD4DIxabkdhT9dW6/adAtD7i7AHTrtx7ae9eTR26f9+7I5Xn6l5ckPzMBX2BEAyUXU2rs5SUecBVAIb5f5AmLTvkyD7j+25zxjzUZO/AK+nwe5ykDeD6fHl/l9p+YQLinKPGE7cvtAy6NtV0ARtygXp7It0MzU7T2Pc9GFRx2UDnLjWPNHWac53N+YarAxdzrh0rvzIjzjPT383w+n6e7Is739/MUIOP0QJwOTX88HgZ4hHu4u0u6QxUBlQzMZBlz1jPjPE8OGkR4IP30gJ5Qhdjbyu79PP304CIy3cNa0nWoqNTmFb/XAvBrfIt+y02RPmYBazR6HQ/mulwvbvIVjarFVypENu4ZXl/dcz+xd6jVrP8u2ZGjPbx7QU6vfUALACJei9n89hDIyKyreTl54Rw5I7V73crptWC98Cbb3TEcZ81nUIbRYokMD+/ytkXeXrU/jgg/N25YceF4qLsh2DuM6pGQVz5gYzRwzO3aKGKImiW9K2SVL+qvxxQbLdJaCtsD3RlDXYkmta5huD6pkuwLEebb8OpVzoo0tZWrGPvaTv3LHJbLtfi5JXy6w5W7ZIqPubv1La5tuz5m5cJcwa78mLeSa9KtHnA9ez26Ozf+iog4d91wQjBVFfDz3JQzYikXrr/Wi0HkPmG0TfPujc1UM5bp6GVqb5vT48HIGzzSfwt8Ppbb12NEjwaB0mvbb3D/az0+FYAXRBvc7D+htu3Xmuz1isVlwcqet6xF7Fgz+Nu7z2oeXc7Bn50qBpcP7XgAn6eaujXRv059luYtNR2J5KzGzVp2PUugeQgjTneKI7c3tni7uQBeW8plje68MTqt2Z5RKuHTorU18gL2bjXOLoA4WwA1chYXQASN2wDYjMFvUeDiddcRVEb7EVtVJZnp7h7nyStaObmfR3VI8DEAsGFD9lz/XeSC9O9r+sk9gHhkiCwBDE/wf7H/f5Bkc5ipyGHe/as11K2mKt/YBf0P5w2E/IC3xQcwVfA0l+BbH2parT4o9mXqdIZ+QnGekrUFsGd/feMFhtdiITqRog9mDfs9ySeUOE9P4JnhEZH8OdkHmP4if+C2Ryj7lrtsDZPDip/MLWXXVDS3D3joKWpQAb0RZXmHLQFI1J7QS2MhEcjaHeoRzkdl/tJOrf/tqFm+TJP36nwrS2v4Pvx1HoAhvE8cFwjWhuoNAMm1AXRzM+m1pSSGOMGI6FyM7rl5ulyWT+/IPMkj3PP0y9d9fX9fFBPNrgCy15AmVo8v856SqQoy3V/XAtiP2dfuOg8/z/P5vJcdVBVsx8G2ejYm6Q/+39p9HwG+lBk9o1pvnICpNTFnjgdpUU20yR6LnbSo/cv608rzCVpPtqIyIgkSfCiHUfffx3ljP2nTnR254vytAS1y0tVR4MraCFzbXaJ2O7Y2FxrQb2sjbk3zEDTu2pnD5BqbwmRsFWOue+QLdFixe7rdT0/Iy2rwqgYtCO4Ct4/VZ9lAbWmcrTfYMrZmP3siPMPhHH2iNhcixDfeC8pz7gX1vHlseaBglZPcsgpuWe7jRA2pZH93XHo8TKZe4AFYr2DCo+N4D8HE3QfUKkSZJGohhenR0BMubqCw2VaLnE2fG/27Omju8Ihz+GC0pN23iPRi4S3gNtq1RPZBAxTCPbWfOEF29aOD//P5PM+pV7ZOUd5RL+bB4dxWdQ0BLQ+6sb4vnrc8q+9s17BchPfv4Md7wpXducqXWEmTQ26I0VFMvMkDjPsD3mZDqFmRVc2U9OYi/9uhkji4WUhU5aHGwytmvYHym/T+bVl7BiF4AKZQMWLnewc/kLC+FAFc7gh2HtC7QXoFRu8IDS5T7V2iJ+N+9pLVcrvQiPOsT3gE8M44oru3GJe2h9OYej1yczn9zbkBuUDmeZ5eLrq+6mdkCrT7CEspJiHo2J/1/LkAA1xUGbuHYUdhGW98bETu/+b/vb+fEbO/4UMtsHa5jd0wj5/RjUbskpfBtqfYHodinsGP0z1Q7K6IRNWA17fJ/sm/ifnvpT788NaicnTpnOvpcp1taowxUYDJBc7X7Yd1SdguIPejeJkbbJNc/taMVV9oX6/x722vBC6cjr9WXPhFCqyZnWdhPNOJlkwkDXyUwIAsA8NMwOjdQwOkgJso1GaN/a4Bk3HEaED0KF6fG+c6fxnNK3gslg3kyk6rsxROLNDP81nVYEYWxpd7EsQ8IOIs0m9XijHnwzAXo3o9zpzdYkdmOyc0aRnmzFxmzzW+1IC7u77kkZcJ8u7f5gb1bnV8g0VRM07VX0uONS84KPLy/FXeRrqvZ98WBvvFxHKLi32DIDszzdlFnHHBkGpF+/l8f+9lzXcNmIhxcR2lYp4ZMbMTq+OVmEZTXP409/Nku6Pw/Zrw7GDut+J/XlgmwvzcGMArBxCzcbLYUfQBFw2IgequmUHeO0M3z78H2tVM7HHd/r4tNb8gAAVVnn0LJfj8ekFoLgKgR+kY0PVebiAbdkxwSxzyVePtY1sisiezH487YF3HslXkIb0/qJbC5HGoqD7isksM3DMAfWMz+xu5v7LmBkRF8Xar//sg05Fe14ZeUhd8VmPm3BWsvOA9AhJ+HhHup9Oy6hJ7xX/uEO/lavGMSMhJ3AB+ZubpwgUE54s9QhfZmQrC47lQTuT9JPbeH8hLz3ghonfzDX/dcSs/OFq/JfzlMfvzHlELIvsk1xWzvGvClQyQ2H7y56BoH8FdMW28I3uc08laPzC2lGAOfsaq/6M9wGzEv76VPzzPLf5HRhIz7BmRapjkhG8s8JunaZdxVZk0s5957cp8bI9POO11tr5OoG4xlt6WG922ai0i9yyGEvCu/wcHrzL2w1ujIx3/ZxP8eMoFoq6KdwuGdZVs660U5FQQ7KQ4iEuEeKEBXaKdZwQg2qhDXDx247uYej0b5dxe8fpR2Qh4RAS7cn7eNaDtquN/EG7tWZmlKd1U4m68Rtx5b6DzBI8EF++tAL/fK3uBCE36y2V9OVB8LInz2kOGp2dHwkb7NiXoV7AyAM9+/flaf8iHYxNuzr78S6ug7wj4nJvPRsKi4cz9FahG1da23K38NUNkiz6itaRyB6J48YLJKb2LX3LTuxvgjR+MNlAwH33A6e6sI6oEoSOojo/3RT2eofRcB0lj7tHfcot1r3XrVX4qgLxFAamAccF4sGAj3KnEK83Ia5GE2J1kQ5r3zKae0pn2xZSO9Vm/NIimMbM3Ivoaw61BERs2cEVzLwNHwBv7A5z34y5RaO8S7feGbQd5ndw8+HlVEXnc9gk/1vWZ3k+p2C5NbI2XtlHPCBildLa0ens8VQMZcSLgJ8GC3LbKb9dm3iOBeJ59c+S8HWC8jMy0k6mOzHSAI7c8YEVFxFa9T6BYRJABdHPOo++v+O1tC//Y3S5u/40d58o9DWHq2ZcW0I1C7MDQVUEuTrBx2qhNJBPvB++8Fv8xug7PdfB+ItwEc6cSE5vpCPchDE5pTGQoJpDk/t/NkZ8Vk1dlvlbTx/Rn0Xf2+sDOLYXeV2vXEu3bmZ2DUNlxH5EFjxKKKg6FccW2zUkNle1AmPQVWkBfksJlu63CmHhZp4u5L9xZ0r5X+HRwje4Ko/XxM3qPcFF/ZrXGXQDHtlC5Di1dd4oTC6z7AUdvtFEYaqNo1wA9KvmYA4zbNrs+x4z44ANat3ldeV2SvApgNNwd6ZGBqCpg3RqlJvfu0Lo3ODepZ8/wawEo6spsn9riMPh2grM1ZfYDcgOGzjp95alumWVqvXq25uhNXs3q5HZqE5fzultx5BV1IxLPPrDE5erZCBRPbT7bgs4zOOsW4au5mp84wTw9MqqzU8a0Er7lCDrhGV/V95AzLjzJ7ePOA8gT+AgMLrQwN0bJFSPcUv1JQRFrgDkz3c/zeRL5oS8keB4rjOfrwUkWJQlR26PuwggTeyOiPr+5pr3w6uVsuKZSVVAFPkSBiFVZfQA/k4fWL5hnrg5ls0KA83QP977Nvlo2n0SBrUtoqkC+mQlwWPKaDPdI4AEVU5VvxPkP3hL5T21VpBcVvPHH/We3ehE5SIY+CL8cpA3mjUgX1Q6cW6NZK9PB09q1OOwkLz5O3hxct0aqsXieiHGOLDXcT/e0qLbVxwsTH7rteaEv91cb5+9XglEu4NdKM7b4XvbrzYjLrS7/oTegDiv7YOhNmlrYUCvwlvvSAl5081+FQYipCHDwlU8eUzFekjrW/cE6SUoW3gOAienBI2sPLuHgnZU5zt5L+47e/UmW06bB02PMiJS5Nd63xK9H11Bb5c+GwN/ZKzZuj++l6wMj10tVp3njpQAYty8CqINKdWytTsvZnOCYOwLoTbfG1drsjtWBxrX+u0aK17mdHzIBp7f1FRXq7J4ztPPwYoc3mRZard2fFJk3NuSzMzuY6+kmEDtGALwzbNyF95jLUbUU7w11blx4Z8DQN4cwa7EqLN42Nd1ujsZ+bqwaENVpYiN6rdnn4UU+IIiM944xnJHIM7YeYt8YC6/eVLzMBHk+TPqOkB88qcWipjPBN3LC/8NTWm+1YLx2PmDyAV5ihSRN4DFbHK8mEDsg88IE3pUzexTAk6c3+1AC5vgqm+mdGfruBHNIUnk7tbXdHAXUTNr24ygNMO4BPASmKmplKwv1BXPisgj01vnenTYagPYBfXXuxzTgKdBY5zXhfXq0Ds27MB3wexeZX29s5mxG43WO4w6I5EpM887frr/z2Tj/9A3Sz/A+EDrBoILDGXv1Ryrr3Mz+kbcI1gcRHs+FF9RY6wpUPiy27lDx6yPe17NA+8VJ7n+c+l9UFA/2+R99eyygakefPxMzk4QefV9ImQ9wXwgXTg25t0fSr5cuVzGURgzriak5CdLm2XHW6wqdl49oIo4H8nTzSo3fpc4ORGZU3Vga8tdnM0MXWKw5vvtU2AVhWfBYgVmLJJ5+EsFpDnjF/3vg91ue0BpyukeBQxG+MEGQUyHdWhpyXlyRPmJvPsx15C2DfTVzzK9Ir/pSXpurM7wiVnlAH7g7Ztc3FGYA9OCKHPD8yEQLcLt3X53J3kF6ewUauVYmgCelLJvknOBDBcKSziBG3RE6IyTOSKzKeD++9vxMAL3YYM7s8WTGo+IbGhJT7hCeI2uHoVYM99WVOty5KLH1O+xmAokr72xjmDXgsrdekNUhy7MuL8ORM3iZvK2uEe39eXiX4S/X8bXzKwEwF+DNkLLxAjbmfCKPPpADJAqlAJJbYIw+f7bGjMFXYRxyXex69wFFbpvKaLs+V/H/xAYSbXcGw2snuZ7B3WNFIXuuHaS8T/iVACDr1OYcU6v9QQ82QTn13Dt7xWrTicWEy9KYniw8tvivmwnolYU+Jzez0OjoZd+d/HEkhP02ZNyOsbk7BHEeNAGeXMWTh4jXkfbPBMDXwjYNoC1XIlR7zusUhGBpgJmkqEHm2GSv8rDePNrrdAWK0NcagLk3aJJ+hu00IMd0jYdBNvGfUFkEBOFVBfpZWaDgfTSAedB3o0AH9FxUip1tuIWBSs/CTz95mxbRQH6wZYL27jMWuM0JXKrFJo2GV0XPhiKfH3xgx/Uq56pAp13Bk1u5nuOCZn+uAWsi1FTrXO26+TD5wMHq8NFbT5kPPBLoi6MMBALYdv1uW/f6xSxkZ4R2nmLw54q5HDTn6c1c4GhVgxMVClXuY+wH+YHCcS/5ngY0LjSNwbkB39dPK7+KqKbVtMu6/zrfWOsL8FmJ/3qqesFdVQrvX6j8tJtCce1ArT8MG1u6GKeLLPXZ7pFLHnS5O4zigq5XntfloXR6RlfwSB7dpbM71nI1IzI0Fwteb9roY2ucwg2H4OzBwwQHDqU04LzC5gEeY8cTTaviTFZN9TQuJD8mAFa22qtga/SlfJ70bd2+NleW8CDVpsB/7aGlWcB6MwF5NQ29m4CQSjKUqCaHR5/fvd4jPBchg/VyFwd0khkvN6y8sMcBt3m7QU15XhIERKo1MPdYq2aYJRF9V7AbITxDvfCAz5zAGrn0GZITp+L37THxmwDQREtcEiNmfng2gzUjX63qeiWA3gV9cYKGuuhEfABv67BymQJ6+ySLoFopD9k2DdgPmEBnaiESHiJnyWPwAPWojO/WOOExtvB2hiRNvBM0PTNfuMCXJoBpbJAVbjqXI6GDD9RnBhp7IGs8bBIg4gFdF04P7ksN8M4H3CROFzt7aoVbZ/UTDWhf0JrwJH3guTTi5bKzV3y1LOQY91kI+qiKsSeJL7lTTfMC7aNZwxfe9xb782OFiI0gmNPz3ck/Wwu0mRrTtdnB1a1NcRkA/b4JcFxuW/MIrUNIqiisTwWNFtt2V1BsriTWMhNmAgB4IuLzjRBHpXuwzfFxZgVbTZAnBh1mi6zaopKNh3QfoG+Oton8pABm4bKqQA/rRdN9PqejgE4XuKbSe5c27+9B55zNnIC8VoHbx6v6i5UY1XjhVIcNgMguAPYEeyMN9dIjVrn80wLoogimkqMBlff1tfk9HygN0LlUo9ywoVztnRMVxhXMzo/F2QXo9SFsvA20QsJDe3ktDhVOJDyjNMDZG61OUBYTpMlFPykA6VPbVw3g8ScZGFw3E+gbLbqcPxshitDLypEPAujN0R6L2FNecTHbZggvSgM8Eydnp1ATZ7Nyu/jqmR0V8mcFwPWlAjVA7TE78qV6hJjSr6GhEYDOsl/mA3PT6YvVXE6H3NyWGXdcberLeH8s1e4NFvvO8XICMcABftoJZl80NDrBPpbGm0m9Z9hWUdTHVmUDQHDM7mPo99Ym5kKkVzxEXhCiHKZIYWOVIUWvTJijbPOevkJ+XgDYnaDOBem+Rrdfk7tqgOiyeTzGBKByu3W+O0HdAdfYOdnNpM+NFFyQWDTD3ito7lvnt/e9p/qnBSDLBA5rW09e6AY7Q8I1x9ZHGRb4KaiGSl95uajA3Qc8ULRHoa03ROYY21/UUAenrDpH/lwDOL/y8wLolHVwAOL+7P4OZHZ0uKOTfzDfbyiMrTTZ+vHcEx4DAkqzuYveK4reO4QU0pJ3sm5E4GBxtMLcUvr9XvGT7fBfFACaNDU3xQ/ukLIuGdkKnzvBLSAK8NiulvXoKqCFAcaMI0nRlhKSSwBINPzVrTJ4pmdk2mqJZTVHV8MpMnD2+18VQHY/fzSgX/H27jofz8uvguQuj2Ne6T5QugTAgnDbvqVwonAWgU0AeB9GQwsgmguf0afmMnCikj/JK1zu83t+PgrwKMhVA3QdVSY+gLkWSu8/zVG2SS6jsiJL5/dPeUNhZQKuBRjn+yzY64U5SXokQVIuj2kBcPnQaIB/dyveFyGpr17tyI/IXH5tE9DtHszsf8eYwHYBe2mDdGByWQcCuZoKKh7Kj5/8Y5zB0GdsjcN1nNQYH7Bjg/n9LatfCqCVoFSaeYB2jjz4QIOefbG50wKa0BUB0L5Wz59+zldnXv9iAk5WjzMVPuk6mjcYbJhQAJ43E8Askf4VAYAzZZsJQNaJtMIHoLo7Qd71OaYBcm2EtM0HL++dvZuoneDSgJnfiBwW7a4RTrr22HpRYC8a0EuyEL8sgLsGSHHnMB2jqfoKNSHu93bDQHXbQ1i3v7iykfbRDFG7mQCZ2HmwKDr5p70TIOlM75x8YKfZ49cFsI1NQ4YLVFdTTERCzRSJ//AmZmOgjzlnq+vWXM0HFDVIioouhCwe9PL9w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