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modeling-app/docs/kcl-std/functions/std-sketch-patternTransform2d.md
Nick Cameron 4d1524f03b Format examples in docs (#7378)
Signed-off-by: Nick Cameron <nrc@ncameron.org>
2025-06-05 18:01:45 -04:00

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---
title: "patternTransform2d"
subtitle: "Function in std::sketch"
excerpt: "Just like `patternTransform`, but works on 2D sketches not 3D solids."
layout: manual
---
Just like `patternTransform`, but works on 2D sketches not 3D solids.
```kcl
patternTransform2d(
@sketches: [Sketch; 1+],
instances: number(_),
transform: fn(number(_)): { },
useOriginal?: boolean,
): [Sketch; 1+]
```
### Arguments
| Name | Type | Description | Required |
|----------|------|-------------|----------|
| `sketches` | [`[Sketch; 1+]`](/docs/kcl-std/types/std-types-Sketch) | The sketch(es) to duplicate. | Yes |
| `instances` | [`number(_)`](/docs/kcl-std/types/std-types-number) | The number of total instances. Must be greater than or equal to 1. This includes the original entity. For example, if instances is 2, there will be two copies -- the original, and one new copy. If instances is 1, this has no effect. | Yes |
| `transform` | [`fn(number(_)): { }`](/docs/kcl-std/types/std-types-fn) | How each replica should be transformed. The transform function takes a single parameter: an integer representing which number replication the transform is for. E.g. the first replica to be transformed will be passed the argument `1`. This simplifies your math: the transform function can rely on id `0` being the original instance passed into the `patternTransform`. See the examples. | Yes |
| `useOriginal` | `boolean` | If the target was sketched on an extrusion, setting this will use the original sketch as the target, not the entire joined solid. | No |
### Returns
[`[Sketch; 1+]`](/docs/kcl-std/types/std-types-Sketch)
### Examples
```kcl
// Each instance will be shifted along the X axis.
fn transform(@id) {
return { translate = [4 * id, 0] }
}
// Sketch 4 circles.
sketch001 = startSketchOn(XZ)
|> circle(center = [0, 0], radius = 2)
|> patternTransform2d(instances = 4, transform = transform)
```
![Rendered example of patternTransform2d 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v/Yqv+Ipvvbm5efwf/uEffoernsc7vuM7ftYnfdIn/fSLv/iLv/bLvuzLctV/juuvv55XfdVXfelbbrnlbTY2No79wz/8w+9w1fN4x3d8x8/6pE/6pJ9+8Rd/8dd+2Zd9Wa76z3H99dfzUi/1Ug+++eab33pra+vEP/zDP/w2V1111VVX/WdCD3rQg7jqqquuuuo/z+d+7uf+1ou92Iu99su+7Mty1X+dv/zLv+S+++679eu//uvf5x/+4R9+m6u45pprHvzhH/7h3/ViL/Zir/2yL/uyXPVf5y//8i+57777bv2sz/qs17nvvvtu5SquueaaB3/4h3/4d73Yi73Ya7/sy74sV/3X+cu//Ev+4R/+4be//uu//n3uu+++W7mKa6655sGf8zmf81vXXHPNg1/2ZV+Wq/7r/OVf/iU/8iM/8tk/+qM/+jlcddVVV131n4Vy/Phxrrrqqquu+o93zTXXPPjLv/zL/+ohD3nIS7/sy74sV/3Xuv7663n4wx9+/NGPfvR7A/zDP/zD7/D/2Iu92Iu99ld8xVf81TXXXPPgl33Zl+Wq/1rXX389D3/4w4/ffPPNb725uXn8H/7hH36H/8fe8R3f8bM+6ZM+6aff+I3f+MHXX389V/3Xuv7663mpl3qpB998881vvbm5efwf/uEffof/x97xHd/xsz7pkz7pp1/jNV7j+PXXX89V/7Wuv/56Tp069dov/uIv/tr/8A//8DuHh4e7XHXVVVdd9R+Ncvz4ca666qqrrvqP9WIv9mKv/RVf8RV/9Rqv8RrHr7/+eq7673P99ddz6tSp136d13md97711lv/5uzZs7fy/8zrvM7rvPcnfdIn/dTLvuzLcv3113PVf5+HP/zhx0+dOvXar/M6r/Pef/Znf/Yzh4eHu/w/cs011zz4kz7pk37qdV7ndd77ZV/2Zbnqv9fDH/7w46dOnXptSfqHf/iH3+b/mRd7sRd77c/93M/9rVd6pVd665d92Zflqv8+119/PS/1Ui/14JtvvvmtNzc3j//DP/zD73DVVVddddV/JMrx48e56qqrrrrqP847vuM7ftZHfMRHfPfLvuzLctX/DNdffz0Pf/jDjz/60Y9+77Nnzz7j1ltv/Wv+H7jmmmse/Emf9Ek/9eZv/uYf/bIv+7Jc9T/D9ddfz8Mf/vDjN99881tvbm4e/4d/+Iff4f+BF3uxF3vtr/iKr/irN37jN37w9ddfz1X/M1x//fWcPHnytV/ndV7nvf/sz/7sZw4PD3f5f+Ad3/EdP+sjPuIjvvs1XuM1jl9//fVc9T/Dwx/+8OOnTp167bNnzz7j1ltv/Wuuuuqqq676j0I5fvw4V1111VVX/cf43M/93N96ndd5nfd+2Zd9Wa76n+f666/n5ptvfuvXeZ3Xee8/+7M/+5nDw8Nd/o+65pprHvxN3/RNT7/mmmse/LIv+7Jc9T/Pwx/+8OOnTp16bYB/+Id/+B3+D3vHd3zHz/qIj/iI737Zl31Zrvqf5/rrr+fhD3/48Ztvvvmt/+zP/uxnDg8Pd/k/6pprrnnwJ33SJ/3U67zO67z3y77sy3LV/zzXX389N99881sD/MM//MPvcNVVV1111X8EyvHjx7nqqquuuurf73M/93N/68Ve7MVe+2Vf9mW56n+u66+/noc//OHHb7755rfe3Nw8/g//8A+/w/8xL/ZiL/baX/EVX/FXL/uyL8v111/PVf9zXX/99Zw6deq1X/zFX/y1f+u3fut7+D/ocz/3c3/rdV7ndd77ZV/2Zbnqf7aHP/zhx2+++ea33tzcPP4P//APv8P/MS/2Yi/22l/xFV/xV2/8xm/84Ouvv56r/ue6/vrrOXXq1Gtfc801D/7TP/3Tn+Gqq6666qp/L8rx48e56qqrrrrq3+dzP/dzf+vFXuzFXvtlX/Zluep/h4c//OHHT5069doA//AP//A7/B/xOq/zOu/9SZ/0ST/1si/7slz1v8P1119Pa+3Br/M6r/Pef/Znf/Yzh4eHu/wfcM011zz4kz7pk37qxV7sxV77ZV/2Zbnqf4eHP/zhx1trD97a2jrxD//wD7/N/xHv+I7v+Fkf8REf8d0v+7Ivy1X/O1x//fXs7e0df/M3f/OP/oVf+IWv4aqrrrrqqn8PyvHjx7nqqquuuurf7nM/93N/68Ve7MVe+2Vf9mW56n+X66+/nlOnTr3267zO67z3n/3Zn/3M4eHhLv+Lvc7rvM57f/iHf/h3vezLvixX/e9y/fXX8/CHP/z4zTff/Na33nrr35w9e/ZW/hd7sRd7sdf+pE/6pJ96u7d7u5e+/vrruep/l4c//OHHT548+doA//AP//A7/C92zTXXPPiTPumTfup1Xud13vtlX/Zluep/l4c//OHH9/b2jr/O67zOe//CL/zC13DVVVddddW/FeX48eNcddVVV131b/O5n/u5v/ViL/Zir/2yL/uyXPW/0/XXX8/e3t7xV3zFV3zrP/uzP/uZw8PDXf4Xesd3fMfPet/3fd+vftmXfVmu+t/r4Q9/+PGTJ0++9ubm5vF/+Id/+B3+F3qxF3ux1/7cz/3c33qN13iN41z1v9b111/PqVOnXhvgH/7hH36H/4WuueaaB3/u537ub7/t277tS19//fVc9b/T9ddfz97e3vHXfd3XfZ+f//mf/2quuuqqq676t6AcP36cq6666qqr/vU+93M/97de7MVe7LVf9mVflqv+d7v++ut5+MMffvzmm29+683NzeP/8A//8Dv8L/LhH/7h3/Xmb/7mH/2yL/uyXPW/38Mf/vDjrbUHb25uHv+Hf/iH3+F/kdd5ndd570/6pE/6qZd92Zflqv/9rr/+ek6dOvXaAP/wD//wO/wv8mIv9mKv/RVf8RV/9Rqv8RrHuep/veuvv569vb3j11xzzYP/9E//9Ge46qqrrrrqX4ty/Phxrrrqqquu+td5ndd5nfd+8zd/849+2Zd9Wa76v+PhD3/48dbagzc3N4//wz/8w+/wv8A7vuM7ftabv/mbf/TLvuzLctX/HQ9/+MOPnzp16rUB/uEf/uF3+F/gdV7ndd77wz/8w7/rZV/2Zbnq/47rr7+eU6dOvTbAP/zDP/wO/wu8zuu8znt/0id90k+97Mu+LFf933H99dczn89fGuAf/uEffoerrrrqqqv+NSjHjx/nqquuuuqqF92LvdiLvfYnfdIn/dTLvuzLctX/PQ9/+MOPnzp16rUB/uEf/uF3+B/sxV7sxV77Iz7iI777ZV/2Zbnq/57rr7+eU6dOvTbAP/zDP/wO/4O9zuu8znt/+Id/+He97Mu+LFf933P99ddz6tSp15akf/iHf/ht/gd7ndd5nff+8A//8O962Zd9Wa76v+f666/n1KlTrw3wD//wD7/DVVddddVVLyrK8ePHueqqq6666kVzzTXXPPgrvuIr/uplX/Zluer/ruuvv55Tp069NsA//MM//A7/A73Yi73Ya3/u537ub73sy74sV/3fdf3113Pq1KnXBviHf/iH3+F/oNd5ndd57w//8A//rpd92Zflqv+7rr/+elprD3n605/+12fPnr2V/4He8R3f8bPe933f96tf9mVflqv+77r++utprT341ltv/ZuzZ8/eylVXXXXVVS8KyvHjx7nqqquuuupF8+Vf/uV/9Rqv8RrHuer/vOuvv55Tp069NsA//MM//A7/g7zYi73Ya3/u537ub73sy74sV/3fd/3119Nae/Dm5ubxf/iHf/gd/gd5sRd7sdf+pE/6pJ962Zd9Wa76v+/hD3/48ZMnT772rbfe+jdnz569lf9BPvzDP/y73vzN3/yjX/ZlX5ar/u97+MMffvzkyZOv/Qu/8Atfw1VXXXXVVS8KyvHjx7nqqquuuupf9rmf+7m/9ZCHPOSlr7/+eq76/+H666+ntfbgzc3N4//wD//wO/wPcM011zz4kz7pk37qNV7jNY5z1f8bD3/4w4/fc8893Hfffc84e/bsrfwP8GIv9mKv/bmf+7m/9bIv+7Jc9f/Hwx/+8OMnT5587T/7sz/7mcPDw13+B/jwD//w73qd13md937Zl31Zrvr/Y29v7/iLv/iLv85v/dZvfTdXXXXVVVf9SyjHjx/nqquuuuqqF+7FXuzFXvud3umdPvtlX/Zluer/l4c//OHHT5069doA//AP//A7/Dd7n/d5n6968Rd/8de+/vrruer/l5d6qZd68MmTJ1/7z/7sz37m8PBwl/9GL/ZiL/ban/u5n/tbL/uyL8tV///s7e0df8hDHvLSv/Vbv/U9/Dd7sRd7sdd+3/d9369+2Zd9Wa76/+X666+ntfZggH/4h3/4Ha666qqrrnphKMePH+eqq6666qoX7JprrnnwV3zFV/zVy77sy3LV/0/XX389p06dem2Af/iHf/gd/pu84zu+42e9+Zu/+Ue/7Mu+LFf9//Twhz/8+M033/zWf/Znf/Yzh4eHu/w3uOaaax78SZ/0ST/1Gq/xGse56v+l66+/ntbagwH+4R/+4Xf4b/I6r/M67/1Jn/RJP/WyL/uyXPX/0/XXX09r7cF/9md/9jOHh4e7XHXVVVdd9YJQjh8/zlVXXXXVVS/YJ33SJ/3UG7/xGz+Yq/5fu/766zl16tRrA/zDP/zD7/Bf7MVe7MVe+yM+4iO++2Vf9mW56v+3vb2946/4iq/41r/wC7/wNfw3+KRP+qSfeshDHvLS119/PVf9/3X99ddz6tSp137c4x73O/fdd9+t/Bd7sRd7sdf+pE/6pJ962Zd9Wa76/+3hD3/48b29veN/+qd/+jNcddVVV131glCOHz/OVVddddVVz9+LvdiLvfY7vdM7ffb111/PVVddf/31tNYefOutt/7N2bNnb+W/0Od+7uf+1mu8xmsc56r/966//nr29vaOX3PNNQ/+0z/905/hv9Dnfu7n/taLvdiLvfbLvuzLctVV119/PadOnXqdn//5n/9q/gu92Iu92Gt/7ud+7m+97Mu+LFddBTCfz1/67Nmzz7j11lv/mquuuuqqq54fyvHjx7nqqquuuur5+9zP/dzfeo3XeI3jXHXVMz384Q8/fvLkydf+sz/7s585PDzc5b/A537u5/7WQx7ykJe+/vrrueoqgOuvv575fP7SZ8+efcatt9761/wXeLEXe7HXfqd3eqfPftmXfVmuuup+e3t7x6+55poH/+mf/unP8F/gmmuuefBXfMVX/NXLvuzLctVV97v++uuZzWYv/Qu/8Atfw1VXXXXVVc8P5fjx41x11VVXXfW83vEd3/GzXumVXumtr7/+eq666oEe/vCHH7/55pvf+hd+4Re+hv9kL/ZiL/ba7/RO7/TZL/uyL8tVVz3Q9ddfz2w2e+k/+7M/+5nDw8Nd/hNdc801D/6Kr/iKv3rZl31Zrrrqga6//nrm8/lLnz179hm33nrrX/Of7JM+6ZN+6o3f+I0fzFVXPZe9vb3j11xzzYP/9E//9Ge46qqrrrrquRFcddVVV131fL3TO73TZ7/sy74sV131/FxzzTUP/vAP//Dv4j/Zh3/4h3/Xy77sy3LVVc/PG7/xGz/4cz7nc36L/2Qf/uEf/l0v+7Ivy1VXPT8v+7Ivyzu+4zt+Fv/JPvdzP/e3XuzFXuy1ueqq5+NlX/ZlebEXe7HXvuaaax7MVVddddVVz41y/Phxrrrqqquuek7v+I7v+Fkv/uIv/trXX389V131/Fx//fXM5/OXBviHf/iH3+E/wYd/+Id/1zXXXPPghz/84ce56qoXYG9v7zjAP/zDP/wO/wne8R3f8bNe53Ve572vv/56rrrqBdnb2zt+zTXXPPhP//RPf4b/BO/4ju/4Wa/zOq/z3i/7si/LVVe9IHt7e8c3NzeP/+mf/unPcNVVV1111QNRjh8/zlVXXXXVVc92zTXXPPiTPumTfvplX/ZlueqqF+b666+ntfbgP/uzP/uZw8PDXf4DXXPNNQ/+8A//8O9+jdd4jeNcddULcf3119Nae/Cf/dmf/czh4eEu/4Fe7MVe7LU/4iM+4rtf9mVflquuemGuv/569vb2jt96661/c/bs2Vv5D/RiL/Zir/0RH/ER3/2yL/uyXHXVC3P99dezv79/4ulPf/pfnz179lauuuqqq666H8FVV1111VXP4R3f8R0/i6uuehG98Ru/8YM/53M+57f4D/bhH/7h3/WyL/uyXHXVi+KN3/iNH/w5n/M5v8V/sHd6p3f6rJd92ZflqqteFG/8xm/84Hd6p3f6LP6DffiHf/h3vezLvixXXfWieKM3eqMHvc7rvM57cdVVV1111QMRXHXVVVdd9Rxe53Ve571f9mVflquuelFdc801D/7wD//w7+I/yIu92Iu99ou92Iu9Nldd9a9wzTXXPPgd3/EdP4v/IK/zOq/z3i/2Yi/22lx11b/Ci73Yi732i7/4i782/0E+93M/97euueaaB3PVVf8KL/ZiL/ba11xzzYO56qqrrrrqfgRXXXXVVVc9y+u8zuu8N1dd9a/0si/7srzO67zOe7/O67zOe/Mf4J3e6Z0+62Vf9mW56qp/jZd92ZflxV/8xV/7mmuueTD/AT78wz/8u172ZV+Wq67613jZl31ZPvzDP/y7+Q/wYi/2Yq/9Yi/2Yq/9si/7slx11b/GNddc8+B3fMd3/Cyuuuqqq666H8FVV1111VXP8o7v+I6f9bIv+7JcddW/1su+7Mvyju/4jp91zTXXPJh/hxd7sRd77Rd7sRd7ba666t/gxV7sxV77Hd/xHT+Lf6fP/dzP/S2uuurf6MyZMw96sRd7sdfm3+lzP/dzf+tlX/Zlueqqf62XfdmX5cVe7MVem6uuuuqqq+5HcNVVV1111WWv8zqv897XXHPNg7nqqn+ja6655sHv+I7v+Fn8O7zTO73TZ73sy74sV131b/GyL/uyvM7rvM57v9iLvdhr82/0Yi/2Yq995syZB7/sy74sV131b/GyL/uyvNM7vdNn8e/w4R/+4d/FVVf9O1xzzTUPfrEXe7HX5qqrrrrqKgCCq6666qqrLnuxF3ux13rZl31Zrrrq3+plX/ZleZ3XeZ33frEXe7HX5t/gxV7sxV77xV7sxV6bq676d3jZl31Z3umd3umz+Dd6p3d6p8964zd+4wdz1VX/Di/2Yi/22i/2Yi/22vwbvNiLvdhrv87rvM57v+zLvixXXfVv9bIv+7K80zu902dx1VVXXXUVAMFVV1111VWXvc7rvM57c9VV/04v+7Ivy4d/+Id/F/8Gr/M6r/NeL/uyL8tVV/17nTlz5sEv9mIv9tr8K73Yi73Ya7/Yi73Ya3PVVf9OL/uyL8s7vdM7fRb/Bu/0Tu/0WS/7si/LVVddddVVV131H4bgqquuuuoqXud1Xue9ueqq/yDXXHPNg9/xHd/xs/hXep3XeZ335qqr/gO88Ru/8YPf6Z3e6bP4V3qnd3qnz3rZl31ZrrrqP8KZM2cezL/SO77jO37Wi73Yi702V131H+DFXuzFXvvFXuzFXpurrrrqqqsIrrrqqquu4sVe7MVe62Vf9mW56qr/CC/7si/L67zO67z3Nddc82BeRK/zOq/z3lx11X+gF3uxF3vtF3uxF3ttXkQv9mIv9tov9mIv9tpcddV/kGuuuebB7/iO7/hZ/Cu80zu902e/7Mu+LFdd9R/hZV/2ZXmnd3qnz+Kqq6666iqCq6666qqreJ3XeZ335qqr/gNdc801D37Hd3zHz+JF9I7v+I6f9bIv+7JcddV/lJd92Zflnd7pnT6LF9E7vdM7fdbLvuzLctVV/1Fe9mVfltd5ndd5b15EH/7hH/5dXHXVf7AzZ848mKuuuuqqqwiuuuqqq/6fe53XeZ335qqr/oO97Mu+LC/2Yi/22i/2Yi/22vwLXuzFXuy1r7nmmgdz1VX/wV7sxV7stV/sxV7stfkXXHPNNQ9+sRd7sdfmqqv+g11zzTUPfrEXe7HX5l9wzTXXPPh1Xud13vtlX/Zlueqq/0jXXHPNg1/8xV/8tbnqqquu+v+N4Kqrrrrq/7kzZ848iKuu+k9w0003Pfh1Xud13ot/weu8zuu8F1dd9Z/kdV7ndd6Lf8E7vuM7fhZXXfWf5MVe7MVei3/BO77jO34WV131n+Sxj33sa3HVVVdd9f8bwVVXXXXV/3Mv/uIv/tov+7Ivy1VX/Ud78Rd/cV7sxV7stV/sxV7stXkhXuzFXuy1X/ZlX5arrvqP9rIv+7K82Iu92GvzL3id13md937Zl31ZrrrqP9rLvuzL8jqv8zrvzQtxzTXXPPh1Xud13vtlX/Zlueqq/2gv+7Ivy4u/+Iu/DlddddVV/78RXHXVVVf9P/diL/Zir81VV/0nueaaax78Oq/zOu/FC/BiL/Zir33NNdc8mKuu+k9yzTXXPPh1Xud13psX4HVe53Xem6uu+k90zTXXPPjFX/zFX5sX4B3f8R0/i6uu+k90zTXXPJirrrrqqv/fCK666qqr/h97sRd7sdfmqqv+E73sy74sL/ZiL/bavADXXHPNg7nqqv9EL/uyL8vrvM7rvBcvwOu8zuu818u+7Mty1VX/mR772Me+Fi/A67zO67z3y77sy3LVVf9Zzpw586AXe7EXe22uuuqqq/7/Irjqqquu+n/smmuueTBXXfWf7JprrnnwO77jO34Wz8frvM7rvNfLvuzLctVV/5le7MVe7LVf7MVe7LV5Pl7sxV7stbnqqv9EL/uyL8uLv/iLvw7Pxzu+4zt+Fldd9V/gmmuueTBXXXXVVf9/EVx11VVX/T/2Yi/2Yq/1si/7slx11X+ml33Zl+V1Xud13pvn48Ve7MVem6uu+i/wYi/2Yq/Fc3md13md9+aqq/4LXHPNNQ/m+Xid13md937Zl31ZrrrqP9PLvuzLcubMmQdx1VVXXfX/F8FVV1111VVXXfWf7pprrnnwi73Yi702D/A6r/M6781VV/0XeNmXfVle/MVf/LV5Lq/zOq/zXi/7si/LVVf9Zztz5syDXuzFXuy1eYDXeZ3Xea9rrrnmwVx11X+BF3/xF39trrrqqqv+/yK46qqrrvp/7MVe7MVem6uu+i/wsi/7srzTO73TZ/EAZ86ceRBXXfVf5MVe7MVe+5prrnkwD/BiL/Zir81VV/0XebEXe7HX4gFe53Ve571f9mVflquu+q9w5syZB3PVVVdd9f8XwVVXXXXV/2PXXHPNg7nqqv8iZ86cefCLvdiLvTbPdM011zz4ZV/2Zbnqqv8qL/ZiL/baPNPrvM7rvDdXXfVf5GVf9mV58Rd/8dfmAV7sxV7stbnqqquuuuqqq/4rEFx11VVXXXXVVf8lrrnmmge/2Iu92GvxTC/2Yi/22lx11X+Rl33Zl+V1Xud13otnerEXe7HXetmXfVmuuuq/ypkzZx7MM73O67zOe3PVVf+Frrnmmgdfc801D+aqq6666v8ngquuuuqq/6de7MVe7LW56qr/Qi/7si/Li7/4i782V1313+TMmTMP5ple7MVe7LW56qr/Qtdcc82DeaZ3fMd3/KyXfdmX5aqr/iudOXPmwVx11VVX/f9E5aqrrrrqqquu+i/zYi/2Yq/9Yi/2Yq8NcM011zyYq676L3TNNdc8+MVe7MVe++zZs7dec801D+aqq/6LvdiLvdhr/8M//MNvX3PNNQ/mqquuuuqqq676r0Llqquuuur/qWuuuebBXHXVf4MXe7EXe62zZ88+g6uu+m/wYi/2Yq919uzZB3PVVf8Nrrnmmgdfc801781VV/03uOaaax78D//wD1x11VVX/T9EcNVVV1111VVX/Zd52Zd9WV78xV/8tc+cOfMgrrrqv9jLvuzLcs011zz4xV7sxV7rZV/2Zbnqqv9qZ86cedDrvM7rvNfLvuzLctVVV1111VVX/ZchuOqqq6666qqr/kudOXPmwddcc82DX/ZlX5arrvqvds011zz4xV7sxV6bq676L/ayL/uyXHPNNQ9+sRd7sdfmqquuuuqqq676r0Tlqquuuuqqq676L3XNNdc8GHhtrrrqv8GZM2cefM011zyYq676b/A6r/M6781VV1111VVXXfVfjeCqq6666qqrrvov9bIv+7Jcc801D+aqq/4bXHPNNQ/mqquuuuqqq6666qr/T6hcddVVV1111VVXXXXVVVf9F3nZl31Zrrrqqquuuuqq/1IEV1111VVXXXXVf7n77rvvVq666qqrrrrqqquuuuqqq/7zUbnqqquu+n/qvvvuu5Wrrvpvcs011zyYq676b/CyL/uyXHXVVVddddVVV131/wqVq6666qqrrrrqqquuuuqqq676P+6+++67lauuuuqq/58Irrrqqqv+H7vvvvtu5aqr/hs84hGP4Kqrrrrq/5tHPOIRXHXVf5ezZ8/eylVXXXXV/09Urrrqqqv+nzp79uyt11xzzYO56qr/BrPZjKuuuuqq/29msxlXXXXVVVddddV/OSpXXXXVVf9P3Xfffbdy1VVXXXXVVVf9l+n7nquu+u9y33333cpVV1111f9PBFddddVV/4/dd999tw7DwFVX/Vfr+56rrrrqqquuuuq/xn333XcrV1111VX/fxFcddVVV/0/9g//8A+/vV6vueqq/w7DMHDVVVdd9f/FMAxcddV/h/Pnz/MP//APv81VV1111f9fBFddddVV/4/dd999tx4cHHDVVf8d1us1V1111VX/X6zXa6666qqrrrrqqv8WBFddddVV/8/dfffdXHXVVVddddVV/7mGYeCqq/47/Pmf//kz/uEf/uF3uOqqq676/4vKVVddddX/Y//wD//wO1x11X+TYRi46qqrrrrqqqv+c505c+ZB//AP//DbXHXVVVf9/0Vw1VVXXfX/2NmzZ2/lqqv+mzzjGc/gqquuuur/i2c84xlcddV/l/vuu+9Wrrrqqqv+/yK46qqrrvp/7L777rv1H/7hH357GAauuuqqq6666qqrrvq/5x/+4R9+h6uuuuqq/98Irrrqqqv+n/v7v//7316v11x11VVXXXXVVVdd9X/L+fPnue+++27lqquuuur/N4Krrrrqqv/n/uEf/uF3nvzkJ3PVVVddddVVV1111f8tz3jGM/iHf/iH3+aqq6666v83KlddddVV/8+dPXv2Vq666qqrrrrqqquu+j/pH/7hH36bq6666qr/3wiuuuqqq/6fu++++279h3/4h9/mqquuuuqqq6666qr/U+67775b77vvvlu56qqrrvr/jeCqq6666ir+/u///rf/8i//kquu+q/2l3/5l1x11X+lv/zLv+Qv//Ivueqq/0p/+Zd/yVVX/Vf7y7/8S/7hH/7ht7nqqquuuorKVVddddVV/MM//MPvcNVVV1111VVXXXXV/ym/9Vu/9T1cddVVV11FcNVVV111Ff/wD//w2//wD//w21x11VVXXXXVVf/h7rvvvlu56qr/Bv/wD//w21x11VVXXUVw1VVXXXXVZX//93//21x11X+x++6771auuuqqq/6PO3v27K1cddV/sd/6rd/6bq666qqrrgIguOqqq6666rJ/+Id/+J2//Mu/5Kqr/iv9wz/8w2//8i//8q1cddV/kX/4h3/47X/4h3/4ba666r/IX/7lX3LffffdylVX/Rf6y7/8S37rt37re7jqqquuugqA4Kqrrrrqqsv+4R/+4bf/4R/+4be56qr/Qr/1W7/1Pddcc82Dueqq/yL33XffrX//93//21x11X+hH/3RH/0crrrqv9B999136z/8wz/8NlddddVVVwEQXHXVVVdd9Sy/9Vu/9T1/+Zd/yVVX/Ve47777bv2Hf/iH3/6Hf/iH3+aqq/4L/OVf/iX/8A//8Dv/8A//8Dt/+Zd/yVVX/Ve57777bv2Hf/iH3+aqq/4L/OVf/iU/+qM/+jlcddVVV111PypXXXXVVVc9yz/8wz/89n333Xcr8GCuuuo/2T/8wz/8NsB99913K1dd9V/kH/7hH36bq676L/Rbv/Vb381VV/0X+4d/+Iff5qqrrrrqqvsRXHXVVVdd9Sz33XffrWfPnr2Vq676L3DffffdCvBbv/Vb3/OXf/mXXHXVf4X77rvv1vvuu+/Wf/iHf/htrrrqP9lf/uVf8lu/9VvfA/D3f//3v/2Xf/mXXHXVf7bf+q3f+u777rvvVq666qqrrrofwVVXXXXVVc/h67/+69/nL//yL7nqqv9Mv/zLv3zr2bNnnwFw9uzZW//hH/7ht7nqqv9kP/IjP/LZPNN99913K1dd9V/gH/7hH34b4B/+4R9+h6uu+k/2l3/5l/zWb/3W93DVVVddddUDEVx11VVXXfUc7rvvvlv/4R/+4be56qr/RNdcc82D/+Ef/uG3Ae67775b//7v//63//Iv/5KrrvrP8pd/+ZecPXv2GTzTb/3Wb33PX/7lX3LVVf9Z/vIv/5Lf+q3f+m6e6ezZs7dy1VX/yf7hH/7ht//hH/7ht7nqqquuuuqBCK666qqrrnoeX//1X/8+v/zLv3wrV131n+i+++67lWf67d/+7e+57777buWqq/4T/dZv/dZ380xnz569lauu+k/2oz/6o5/DM9133323ctVV/4n+8i//kh/5kR/5HK666qqrrnpuBFddddVVVz2P++6779azZ8/eylVX/Sf5rd/6re/mAe67775bz549eytXXfWf5Ld+67e+hwe47777bv37v//73+aqq/6T/NZv/dZ333fffbfyAP/wD//w21x11X+Sf/iHf/jtf/iHf/htrrrqqquuem4EV1111VVXPV8/8iM/8jl/+Zd/yVVX/Uf7y7/8S/7hH/7hd3guP/IjP/I5f/mXf8lVV/1H+8u//Ev+4R/+4bd5Lj/6oz/62X/5l3/JVVf9R/vLv/xL/uEf/uF3eC6/9Vu/9T1/+Zd/yVVX/Uf7y7/8S37kR37kc7jqqquuuur5Ibjqqquuuur5+od/+Iff/od/+Iff5qqr/hP8wz/8w2/zXM6ePXvrP/zDP/w2V131n+C3fuu3vpvnct999936W7/1W9/NVVf9J/it3/qt7+a5/MM//MNvc9VV/wn+4R/+4bf/4R/+4be56qqrrrrq+SG46qqrrrrqBfqRH/mRz/nLv/xLrrrqP9p99913K8/lvvvuu/W3fuu3vucv//Ivueqq/0i/9Vu/9d08H2fPnn3GNddc82Cuuuo/0F/+5V/y9V//9e/D83Hffffd+g//8A+/zVVX/Qf6y7/8S37kR37kc7jqqquuuuoFIbjqqquuuuoF+od/+Iff/od/+Iff5qqr/oP85V/+Jb/1W7/13bwA//AP//Db9913361cddV/kL/8y7/kt37rt76HF+BHfuRHPucv//Ivueqq/0i/9Vu/9d28AH//93//21x11X+g3/qt3/ruf/iHf/htrrrqqquuekEIrrrqqquueqG+/uu//n3+8i//kquu+o/yW7/1W9/DC3Dffffd+qM/+qOf85d/+ZdcddV/hPvuu+/Wf/iHf/htXoB/+Id/+O1/+Id/+G2uuuo/wF/+5V/yoz/6o5/DC/EP//APv/OXf/mXXHXVf4S//Mu/5Ed/9Ec/h6uuuuqqq14Ygquuuuqqq16o++6779Yf+ZEf+ey//Mu/5Kqr/iP8wz/8w2/zQvzDP/zDb9933323ctVV/05/+Zd/yY/+6I9+Dv+C3/qt3/qev/zLv+Sqq/4j/MiP/Mhn80L8wz/8w2//wz/8w29z1VX/Tn/5l3/Jj/zIj3z2fffddytXXXXVVVe9MARXXXXVVVf9i377t3/7e/7hH/7ht7nqqn+Hv/zLv+RHfuRHPpt/wX333Xfrj/7oj37OX/7lX3LVVf9ev/Vbv/Xd/Av+4R/+4be56qp/p7/8y7/kMz/zM1+HF8Hf//3f//Zf/uVfctVV/x733XffrT/6oz/6OVx11VVXXfUvIbjqqquuuupfdN999936Iz/yI5/zl3/5l1x11b/Hb//2b38PL4J/+Id/+O1/+Id/+G2uuurf6C//8i/5kR/5kc/mRXDffffd+vVf//Xv85d/+ZdcddW/1X333XfrP/zDP/w2L4Lf/u3f/h6uuurf4S//8i/5+q//+vfhqquuuuqqFwXBVVddddVVL5J/+Id/+O0f+ZEf+ey//Mu/5Kqr/i1+67d+67vvu+++W3kR3Hfffbf+yI/8yOf85V/+JVdd9W/1oz/6o5/Di+gf/uEffvu+++67lauu+jf4y7/8S77+67/+fXgR3Xfffbf+/d///W9z1VX/Bn/5l3/Jb/3Wb333P/zDP/w2V1111VVXvSgIrrrqqquuepH99m//9vfcd999t3LVVf9Kf/mXf8lv/dZvfQ//Cv/wD//w2//wD//w21x11b/SX/7lX/IjP/Ijn82/wn333Xfrj/7oj37OX/7lX3LVVf9a//AP//Db//AP//Db/Cv86I/+6Gf/5V/+JVdd9a9133333fr1X//178NVV1111VUvKoKrrrrqqqteZPfdd9+tn/VZn/U6f/mXf8lVV/1r3Hfffbf+wz/8w2/zr/T1X//17/OXf/mXXHXVv9aP/uiPfg7/Sv/wD//w2/fdd9+tXHXVv8Jf/uVf8vVf//Xvw7/SP/zDP/zOP/zDP/w2V131r/CXf/mXfP3Xf/37cNVVV1111b8G5fjx41x11VVXXfWiOzw83AU4derUa19//fVcddW/5C//8i/5ru/6ro+59dZb/5p/pcPDw92zZ88+4+abb37r66+/nquu+pf85V/+JV//9V//Prfeeutf8690eHi4e3R0dOnmm29+6+uvv56rrvqX/OVf/iU/8iM/8tl/+qd/+jP82+jmm29+6+uvv56rrvqX/OVf/iU/8iM/8tm//du//T1cddVVV131r0Fw1VVXXXXVv9pv//Zvf88//MM//PZf/uVfctVV/5J/+Id/+O3f+q3f+m7+jf7hH/7ht//hH/7ht7nqqhfBP/zDP/z2b/3Wb303/0Z///d//1v/8A//8NtcddWL4B/+4R9++0d/9Ec/h3+jf/iHf/jtf/iHf/htrrrqX/CXf/mX/MM//MNv/+iP/ujncNVVV1111b8WwVVXXXXVVf9q9913361f//Vf/z733XffrVx11Qvxl3/5l/zWb/3W9/DvcN9999369V//9e/zl3/5l1x11Qvzl3/5l/zIj/zI5/DvcPbs2Wf8yI/8yOf85V/+JVdd9cL85V/+JT/yIz/yOfw73Hfffbf+1m/91vf85V/+JVdd9cLcd999t37mZ37m63DVVVddddW/BeX48eNcddVVV131r3d4eLj7Z3/2Zz/zci/3ch99/fXXc9VVz8+v//qv//Z3fdd3fQz/ToeHh7v/8A//8DuPfvSj3/v666/nqque21/+5V/yW7/1W9/9C7/wC1/Dv9PZs2dvveaaax48n89f+vrrr+eqq57bX/7lX/KZn/mZr/MP//APv82/09HR0e5DHvKQl36pl3qpB3PVVc/HX/7lX/IlX/Ilb3P27Nlbueqqq6666t+Ccvz4ca666qqrrvq3OTw83D179uwzbr755re+/vrrueqqB/rLv/xLvv7rv/59zp49eyv/Ac6ePXvrNddc8+D5fP7S119/PVdd9UB33303H//xH/8y/Ae59dZb/+YVX/EV3/rhD3/4ca666gH+8i//kn/4h3/47R/90R/9HP4DHB4e7t53333PePSjH/3e119/PVdd9UB/+Zd/yWd+5me+zj/8wz/8NlddddVVV/1bUY4fP85VV1111VX/drfeeutfA5w6deq1r7/+eq666n4/+IM/+N2/8Au/8DX8B7r11lv/5hVf8RXf+uEPf/hxrrrqmf7yL/+Sz/zMz3yds2fP3sp/kMPDw91bb731bx796Ee/9/XXX89VV93vb/7mb279+I//+JfhP9DZs2dvffEXf/HXfqmXeqkHc9VVz/SXf/mX/MiP/Mhn//Zv//b3cNVVV1111b8H5fjx41x11VVXXfXvc/bs2WccHh7unjp16rWvv/56rrrqL//yL/nSL/3Stzk8PNzlP9Dh4eHun/3Zn/3My73cy3309ddfz1VX/eVf/iW/9Vu/9d2/8Au/8DX8Bzt79uytAKdOnXrt66+/nquu+su//Eu+5Eu+5G3Onj17K//B/uEf/uF3br755rd++MMffpyr/t/7y7/8S/7hH/7ht7/+67/+fbjqqquuuurfi3L8+HGuuuqqq6769zk8PNw9e/bsMx7ykIe8dGvtwddffz1X/f/1l3/5l3z913/9+/zDP/zDb/Of4PDwcPfs2bPPuPnmm9/6+uuv56r/337913/9t7/kS77kbfhPcvbs2Wc8+MEPfumXeqmXejBX/b/2l3/5l3zmZ37m6/zDP/zDb/Of4PDwcPfo6OjSzTff/NbXX389V/3/9Zd/+Zf8wz/8w29/5md+5utw1VVXXXXVfwTK8ePHueqqq6666t/v8PBw9x/+4R9+5yEPechLv9RLvdSDuer/rV//9V//7e/6ru/6GP4T3XrrrX8NcOrUqde+/vrruer/p7/8y7/k67/+69/n7Nmzt/Kf5PDwcPcf/uEffvvlXu7lPvr666/nqv+f/vIv/5If/dEf/Zzf+q3f+m7+E916661//eIv/uKv/VIv9VIP5qr/l/7yL/+S++6779aP//iPfxmuuuqqq676j0I5fvw4V1111VVX/cc4PDzc/Yd/+Iffufnmm9/64Q9/+HGu+n/nL//yL/msz/qs1zk8PNzlP9k//MM//M7Zs2efcfPNN7/19ddfz1X/v/zlX/4ln/mZn/k6//AP//Db/Cc7Ojq6dPbs2WfcfPPNb3399ddz1f8vf/mXf8k//MM//PbXf/3Xvw//Bf7hH/7hd17u5V7uo6+//nqu+v/nb/7mb279kA/5kIdw1VVXXXXVfyTK8ePHueqqq6666j/O4eHh7p/92Z/9zM033/zWD3/4w49z1f8bv/zLv3zrl3zJl7zNrbfe+tf8Fzk6Otrd3Nw8Pp/PX/r666/nqv8f/vIv/5Kv//qvf58//dM//Wn+i9x6661/DXDq1KnXvv7667nq/4e//Mu/5B/+4R9++zM/8zNfh/8ih4eHu2fPnn3GzTff/NbXX389V/3/8cu//Mu3fsiHfMhDuOqqq6666j8a5fjx41x11VVXXfUf6/DwcPfP/uzPfubmm29+64c//OHHuer/vL/8y7/k53/+57/6t3/7t7+H/0KHh4e7t95669885CEPeenW2oOvv/56rvq/7S//8i/5h3/4h9/+ru/6ro/hv9g//MM//M4111zz4Pl8/tLXX389V/3f9pd/+Zf8wz/8w29/5md+5uvwX+zWW2/9a4BTp0699vXXX89V/7f95V/+JX/zN39z64d8yIc8hKuuuuqqq/4zUI4fP85VV1111VX/8Q4PD3f/7M/+7Gduvvnmt97b2zt+/fXXc9X/Xb/+67/+21//9V//Pvw3ODw83P2Hf/iH33nIQx7y0q21B19//fVc9X/TX/7lX/IP//APv/2Zn/mZr8N/k1tvvfVvHvKQh7x0a+3B119/PVf93/SXf/mX/MM//MNvf+Znfubr8N/k7Nmzz3jIQx7y0q21B19//fVc9X/TX/7lX3Lffffd+iEf8iEP4aqrrrrqqv8slOPHj3PVVVddddV/jsPDw90/+7M/+5mHPOQhL91ae/D111/PVf/3/PIv//KtH//xH/8y/Dc6PDzc/Yd/+IffechDHvLSrbUHX3/99Vz1f8/f/M3f3PrxH//xL8N/o8PDw91/+Id/+J1XfMVXfOuHP/zhx7nq/5y//Mu/5L777rv14z/+41+G/0aHh4e7//AP//A7r/iKr/jWD3/4w49z1f85f/mXf8k//MM//PbHf/zHvwxXXXXVVVf9Z6IcP36cq6666qqr/vMcHh7u/sM//MPvHB4e7p46deq1r7/+eq76v+Mv//Iv+ZIv+ZK3OXv27K38Nzs8PNz9h3/4h995yEMe8tKttQdff/31XPV/xy//8i/f+iEf8iEP4X+Aw8PD3T/90z/96ZtvvvmtH/7whx/nqv8z/vIv/5J/+Id/+O2P//iPfxn+Bzg8PNz90z/905+++eab3/rhD3/4ca76P+Mv//Iv+Yd/+Iff/szP/MzX4aqrrrrqqv9slOPHj3PVVVddddV/rsPDw92zZ88+4/DwcPfUqVOvff3113PV/35/+Zd/yWd+5me+zj/8wz/8Nv9DHB4e7v7DP/zD72xubh6fz+cvff3113PV/36//Mu/fOuHfMiHPIT/QY6Oji792Z/92c/cfPPNb/3whz/8OFf9r/eXf/mX/MM//MNvf+Znfubr8D/I0dHRpT/7sz/7mZd7uZf76Ouvv56r/vf7y7/8S37rt37ru7/kS77kbbjqqquuuuq/AuX48eNcddVVV131n+/w8HD3H/7hH34H4NSpU699/fXXc9X/Xn/5l3/JZ37mZ77OP/zDP/w2/8McHh7u3nrrrX9zeHi4e+rUqde+/vrruep/p7/8y7/kb/7mb279kA/5kIfwP9Dh4eHun/3Zn/3MzTff/NYPf/jDj3PV/1p/+Zd/yW/91m9995d8yZe8Df8DHR4e7v7DP/zD7zz60Y9+7+uvv56r/vf6y7/8S77+67/+fX70R3/0c7jqqquuuuq/CuX48eNcddVVV131X+cf/uEffue3f/u3v+fmm29+64c//OHHuep/nb/8y7/kMz/zM1/nH/7hH36b/6EODw93/+Ef/uF3AE6dOvXa119/PVf97/KXf/mX3Hfffbd+yId8yEP4H+zw8HD3z/7sz37m5ptvfuu9vb3j119/PVf97/KXf/mX/MiP/Mhnf9d3fdfH8D/Y2bNnbz179uwzbr755re+/vrruep/n1/+5V++9Uu+5Eve5k//9E9/mquuuuqqq/4rUY4fP85VV1111VX/tQ4PD3f/7M/+7Gfm8/lLt9YefP3113PV/w5/+Zd/yYd8yIc85NZbb/1r/hf4h3/4h98BOHXq1Gtff/31XPW/w1/+5V/yW7/1W9/zWZ/1Wa/D/wKHh4e7f/Znf/Yzm5ubx+fz+Utff/31XPW/w1/+5V/y9V//9e/zC7/wC1/D/wK33nrrX589e/YZN99881tff/31XPW/w1/+5V/y67/+67/98R//8S9z9uzZW7nqqquuuuq/GuX48eNcddVVV131X+/w8HD3H/7hH37n8PBw99SpU699/fXXc9X/bH/5l3/JZ37mZ77Orbfe+tf8L/IP//APv/Pbv/3b33PzzTe/9d7e3vHrr7+eq/7n+su//Et+67d+67u//uu//n34X+Tw8HD36U9/+l8fHh7unjp16rWvv/56rvqf6y//8i/5m7/5m1u/5Eu+5G3+9E//9Kf5X+TWW2/969/6rd/67pd7uZf76Ouvv56r/mf7y7/8S37kR37ks7/+67/+fbjqqquuuuq/C+X48eNcddVVV1313+Pw8HD3H/7hH37nH/7hH37n5MmTr723t3f8+uuv56r/eX75l3/51i/5ki95m3/4h3/4bf4XOjw83P2zP/uznzk8PNw9derUa19//fVc9T/PX/7lX/IjP/Ijn/1d3/VdH8P/QkdHR5f+4R/+4XcATp069drXX389V/3P85d/+Zf8wz/8w29//Md//MucPXv2Vv4XOjo6uvTbv/3b33PzzTe/9cMf/vDjXPU/zl/+5V/yN3/zN7d+yZd8ydv89m//9vdw1VVXXXXVfyfK8ePHueqqq6666r/X2bNnb/2zP/uznzk8PNw9derUa19//fVc9T/DX/7lX/I3f/M3t37Ih3zIQ86ePXsr/4sdHh7u/sM//MPvAJw6deq1r7/+eq76n+OXf/mXb/2SL/mSt/nt3/7t7+F/uX/4h3/4nd/+7d/+nptvvvmtH/7whx/nqv8x/vIv/5If+ZEf+eyv//qvfx/+lzs8PNz9sz/7s5+5+eab33pvb+/49ddfz1X/M/zlX/4l//AP//DbH//xH/8yZ8+evZWrrrrqqqv+u1GOHz/OVVddddVV//0ODw93/+Ef/uF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