Utilities

c659ed6f-3d4d-4e74-b68d-c1870ff580e0 12 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

1. Create rainbow from grayscale . . . Export . . .

]]> Utilities

Generate the symmetric square [U,V] matrix x y f U V Sym r 1 : i 1 U rows range c 1 : j 1 V rows range M r c el U i el V j el f eval : c c 1 + : 21 line for r r 1 + : 31 line for M 31 line :

Mesh U, V  within the bounds L, H L H N xd U 0 : dx H L - N / : i 1 N 1 + range U i el L dx i * dx - (+ : for U 41 line :

algo style function: elements wise function over data data algo Vectorise i 1 data rows range j 1 data cols range Fnct i j el data i j el algo eval : for for Fnct 21 line :

M lo hi Scale hi lo - (M M Min - M Max M Min - 1012 -^+ / (* lo + :

x y axes x y / - : a 816 π * sqrt * : level 0.005 : 12 mat x y Φ 1 - 3 / x 2^y 2^+ sqrt * exp 2 y 2^* - x 2^+ a / * - level + : 31 line

t0 1 time :

4 appVersion 0.98.6179.21440 ≡

Φ axes 2 1 sys

L 15 - : H 15 : N 64 : 13 mat U L H N xd : V U : 12 mat 21 line

M x y Φ U V Sym : M M 0255 Scale : 21 line

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M M :

1 time t0 - 59 s *

mapR(x), mapG(x), mapB(x)

x mapR 03221 mat 25525521 mat x linterp Floor 0 x ≤ (x 32 ≤ (& 326421 mat 25525521 mat x linterp Floor 32 x ≤ (x 64 ≤ (& 649621 mat 255021 mat x linterp Floor 64 x ≤ (x 96 ≤ (& 9612821 mat 0021 mat x linterp Floor 96 x ≤ (x 128 ≤ (& 12816021 mat 07521 mat x linterp Floor 128 x ≤ (x 160 ≤ (& 16019221 mat 75021 mat x linterp Floor 160 x ≤ (x 192 ≤ (& 19222421 mat 06421 mat x linterp Floor 192 x ≤ (x 224 ≤ (& 22425621 mat 64021 mat x linterp Floor 224 x ≤ (x 256 ≤ (& 0 cases :

x mapG 03221 mat 012821 mat x linterp Floor 0 x ≤ (x 32 ≤ (& 326421 mat 12825521 mat x linterp Floor 32 x ≤ (x 64 ≤ (& 649621 mat 25525521 mat x linterp Floor 64 x ≤ (x 96 ≤ (& 9612821 mat 25520021 mat x linterp Floor 96 x ≤ (x 128 ≤ (& 12816021 mat 2007521 mat x linterp Floor 128 x ≤ (x 160 ≤ (& 16019221 mat 75021 mat x linterp Floor 160 x ≤ (x 192 ≤ (& 19222421 mat 0021 mat x linterp Floor 192 x ≤ (x 224 ≤ (& 22425621 mat 0021 mat x linterp Floor 224 x ≤ (x 256 ≤ (& 0 cases :

x mapB 03221 mat 0021 mat x linterp Floor 0 x ≤ (x 32 ≤ (& 326421 mat 0021 mat x linterp Floor 32 x ≤ (x 64 ≤ (& 649621 mat 0021 mat x linterp Floor 64 x ≤ (x 96 ≤ (& 9612821 mat 06421 mat x linterp Floor 96 x ≤ (x 128 ≤ (& 12816021 mat 6425521 mat x linterp Floor 128 x ≤ (x 160 ≤ (& 16019221 mat 25512821 mat x linterp Floor 160 x ≤ (x 192 ≤ (& 19222421 mat 12812821 mat x linterp Floor 192 x ≤ (x 224 ≤ (& 22425621 mat 128021 mat x linterp Floor 224 x ≤ (x 256 ≤ (& 0 cases :

Standard rainbow RGB in this example

x mapB x mapR x mapG 3 1 sys

x algo x mapR : red M algo Vectorise : r red 0255 Scale mwround : 31 sys

x algo x mapG : green M algo Vectorise : g green 0255 Scale mwround : 31 sys

x algo x mapB : blue M algo Vectorise : b blue 0255 Scale mwround : 31 sys

Electron r g b 13 mat :

1 time t0 - min 3.2

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 Electron 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 r b g 1 3 mat 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 b r g 1 3 mat 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 g b r 1 3 mat

M r g b augment :

rainbow color scheme

2. Rotate user RGB . . . Export . . .

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Part 1: Extract [R,G,B] components from an image matrix

r M rows : c M cols 3 / : 12 mat red M 1 r 1 c submatrix : green M 1 r c 1 + (2 c * submatrix : blue M 1 r 2 c * 1 + (M cols submatrix : 41 sys

R red : G green : B blue : 31 line

isolate for convenient export

R

R 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mat :

G

G 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mat :

B

B 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mat :

weighted grayscale gray R G + B + 3 / :

Functions/parameters ........ to construct _° rot, λ background

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 gray

gray Min gray Max 21 mat 2 169.6667 21 mat

m n q m n m n - 22 mat :

θ f θ cos θ sin - θ sin θ cos 22 mat :

Absolute value of a vector v Abs j 1 v rows range a j el v j el abs : for a 21 line :

gray rows gray cols 12 mat 656512 mat

Part 2: Bilinear program to rotate the [R,G,B]

t0 1 time :

This rotation program is courtesy from from Paul W. [Mathsoft Collab], adapted Smath R G B deg λ rotate m R rows : n R cols : 12 mat θ deg π * 180 / : A θ f : bounds m n q A * : j 12 range uv j el bounds j col Abs max 0 round : for u uv 1 el : v uv 2 el : 12 mat N m n u v 22 mat 1 + 2 / : mc N 11 el : nc N 12 el : uc N 21 el : vc N 22 el : 22 mat prepare pixel canvas wht λ 11113 mat transpose * : RGB u 3 v * matrix : x 1 u range y 1 v range s0 A x y 21 mat uc vc 21 mat - (* eval mc nc 21 mat + : s s0 Floor s0 Floor 1 + augment : w s 2 col s0 - s0 s 1 col - augment : sum 00013 mat transpose : p 12 range q 12 range i s 1 p el : j s 2 q el : 12 mat a R i j el G i j el B i j el 31 mat : a wht : try sum sum w 1 p el w 2 q el * a * + eval : 41 line for for k 13 range RGB x y v k 1 - (* + el sum k el mwround : for 61 line for for RGB 131 line eval :

could not vectorize for "absolute" |,| ?

sum k el 0 round sum k el mwround 12 mat

mwround("matrix") - (X) rounds the elements of X to the nearest integers.

Part 3: Utilities to recover image

rgb R G B 45245 rotate :

`

rgb rgb :

R G B ° rotation λ background rotate

M i extract j i : m M rows : n M cols 3 / : 12 mat M 1 m 1 j 1 - (n * + j n * submatrix 31 line :

R rgb 1 extract : G rgb 2 extract : B rgb 3 extract : 13 mat

Gray R G + B + (3 / :

image R G B 13 mat :

iVBORw0KGgoAAAANSUhEUgAAARQAAABcCAIAAAAgbt2bAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAD4eSURBVHhe7d15vBX1lS3wdKJGI7Zxam1FJGiIGoNTFAXBGZkcQLmRMLSAEgQUUEQQpbsNgoqoRJAIhkmJYlQEoiBCR0SGp9LwVKAj3QJtQBsljb4kmqc9fKldVI6XO5w7X8D1x/3UPadO1e+3f3vttXbVGb72x9qBSQnSf75Cgv+fIP3nKyT4xwTpPzWNWkGeCRMmnH322eecc85X/MmANv+T4Cv+ZECbryWoJfypefI8/PDDp5xyyg9/+EP8ad68+eTJk9Mn9mBkzAl8xR/ImBOoDfypYfKMGTPme9/73kknnXTqqaeeeeaZTZs2Pe+886ZOnZo+vUeiEHMCezh/CjEnUOP8qUnyjBo1qm7dut/5zncaNmyIP6eddtpZZ51FfC688MJp06alO+1hKJI5gT2WP0UyJ1Cz/Kkx8tx1110HHnjgYYcdduSRR9avX5/+NGrU6IwzziA+F1xwQcuWLadPn57uusegBOYE9kD+lMCcQA3yp2bIExH55je/ecABBxxyyCFHHXVUgwYNTjjhBOaN+HBuyHP55ZfPmDEjfcEegD//+c8pRUrEHsWfO++8MxhSMmqKPzVAntxasvfee++///7Bn+OOO+4HP/iBzodza9GiBfIUFBQ8/fTT6ct2a3z66aeff/75F1988V//9V///d//nRKlGOwh/Bk+fPg3vvGNr3/963/1V3+VpkvxqBH+VDd5cpkT2GuvvfCHfzvmmGOIz+mnn96sWbMgz9VXX33NNdfMmjUrffHuC+T57LPPsAKFvuIPjBgxYt999+VNlFcUqp38qVby7MycgAD99V//9d/+7d8Sn5NPPlnbgzxXXHFFx44de/To0adPn7lz56aH2O3w/xL84Q9/sI1CzNtX/Ln77rv5+Tp16nzrW9/ab7/99tlnHxW2FvKn+shTHHMCagzzRnxOOumks88+++KLL0aeTp069ezZs3///oMHD164cGF6oN0IH3/88e9///v//M//3LZt2yeffIJCf/rTn0KC8CdlSfHYLfkzatQomXDQQQd9+9vfVlJRCH+kRy3kTzWRp2TmgLgI05FHHsm5NW7cGHnat2/ftWvX3r1733LLLcOGDRs5cuSSJUvSw+0WQJsPPvhgy5YtH3744UcffeRfFKJCnsIf+lOq+MBuxp/777+fATniiCP+5m/+5tBDD8UiFKJCJAh/+Lc0XUpEtfGnOshTKnMCSovO57vf/e4ZZ5yBPFdddVX37t379es3dOjQu+6664EHHhg/fvwbb7yRHnQXB8K8l2DTpk2bN28OFm3dupUKkSA78G9ffPFFSpESsdvwZ8yYMaxHvXr1jj766Lp166qkhx9+uJQ4+OCDSVAt5E+VkydP5oC4HHjggd/5zndOP/105CkoKODZBg4c6AgK0s9//vOpU6c++eSTq1evTg+9y+I//uM//u3f/u3dBOvXr9+4cWOwCIWQKvjDv+Vp3mA34M/YsWMbNmyodMKxxx4rDRAJi1CICmX80R5//etfTzOmRFQDf6qWPPkzJ8DdKjynnXZaixYtOnbs2KdPH7Jz77330pxp06Y9/fTTv/71r+fPny/z0hPsgqAza3fgX/7lX955551169Zh0YYNG1Do/fffD/7wb59++mme4gO7NH9Uxh/swPe///0TTzzx+OOPDxah0FFHHRX84d/23XffPMUHqpo/VUiesjIH9tlnH5b31FNPveSSSzp37jxgwICf/vSnDz30EM2ZOXPmiy+++MorryxfvnzFihVSMD3NLgX0+L85ePPNN99+++01a9ZgUVDo3//93zP+/OEPf0CJfDqfwC7Kn4kTJ/4wB3yHBDj55JMRSQOMQvXr1w/+HHTQQfvvvz/xyefKQaBK+VNV5CkHc4Aii9Epp5zSunXrbt26DR48+L777ps0adKzzz67YMGCZcuWrVq1Sp5RHnVah52ebBcBe/Z6gv+T4LXXXrOtEKxcuRKR2NHf/va3phb8+eijj5i3zz77LE/nFtjl+GNxmzZtes455zRP0KxZM/82adKkcePGiCQTCNH3vvc9Lg5/Dj30UOZN55M/eaDq+FMl5LnzzjvRYK+99lIkiInZ+ms7rjaWMHOvEiAha9u2ba9evf7hH/7h4YcffuqppzBHnvE58k/DoLH+OIHGID1lrQdWvPrqq4sWLfqnf/on04GFCxf+5je/oaVLly5FpH/+538mROb4r//6r/ij/yE+Jpi/cwvsQvx57LHHNLcK5WWXXdauXbv27dtfccUVl156aatWrS644AJEOuusswgRCcIf+sOVEB+dT/7OLVBF/Kl88tx1112MKXlVJL797W+zqpBdtjdzRCqu58Mru1FtQbzxxhvvuecerQ639sYbb0ipLVu26AQkh2IM/AzsErlCLbVqGrbnnntO56YczEhg2yPPP/88Li1ZskSBIEH4w79t2rSJ+MR8U1oUg4iDgKBZQLOUnrgWQxA6dOjQpUuXa6+9tnfv3jfccEO/fv0sum2PdOrUSQ5ceOGFRIkE4U/Dhg31w4cddpjORxVOMyZvVAV/Kpk8cW8YW7gvdaJu3bomHIiLj9H5oVZx97wQ7LTTTisoKBg0aNC4ceNmzZrF4SjbynBxb52s5fzR1WAIqii0v/jFLx555BFyOnbsWLMbP348x69AyCTUoksmiz/8G40lPtS15DeMooodnAXN2DyIO0XxloVaC8vao0cPbBkyZIi0HjlyJH9+f4J7771Xo3vbbbehE2q1adPm3HPPxR/+7dhjj5VUBx54oPqbpktZUOn8qUzymDZiHHHEEUcffTSTqtU7/vjjzTlw4oknEl/z9+zhhx8uBEV2fh4Xqc6dO5uqrJJPOmk5IUvSfCkKtZY/mPDkk09OnjwZTx544AFaOnz4cHb07xOYI6GWN+g0depUrR1Thz9vvfUWpSU++jptD2FJ5/llmDWSKCsffvghpgXYWpLlQUFLB1HL8MILL6DNsGHDRo0aJSxTpkwRomeeeUaJAWo8ffp0NWX06NG33357z549mTrtkJIqnSSPHCtr25OhcvlTaeQRCKpCXho0aGCSdNZszzzzTLb17AQ2zjjjjGgBUUj/x6HhTzqtHaA8mkXCLXazZ8+WRtu2beNJ0nwpHrWQP9oY/Jcf5oIzQ4cOHThwoIJ6/fXX/ySBDUbllltuQScUmjBhgtTRCLGp0eBhhbanSPIQHJHBFg3S+vXrkQ1ItG2PbN682WvtkA6l1oAJHzx4sDprstSYZX355Ze1fKtWrbLWVFq5UT4UkZkzZz766KOKCyOnEWrSpImkUpQ5t/3226985IFK5E/lkMfCE5xjjjkmPtNGOpo2bUpttX0tWrTQFMIll1zCwnoQkXQ19sQ0OlOo/0EeNldKqT06bHX0888/T/OlNNQq/qxYsWLSpEk/+9nPRowYwYT0799fEe3ateuPfvQjzfHlCdj68P2IhEIS5ec//zn9MfE333wTE0zfoXauHeRo69atSEKWV69eLeEkH8S177ggmV11iPHUBrz00ksER0xoy9y5c5ctW7ZmzRrjxHPPMpyQTc1E1BF76gWETgrJK52PTGP7y00eqCz+VAJ5MIcTVRJOOOEEaoMb559/Pp60bNnSBrY02wHbuIRRNqgQgdIFFQoEOfJaVvhXv/qVJHD8NF/yQy3hD+Zob/g060RtcEMHjDNiEhUkjUizZkIUbyFHIWaGQCm3jM3rr7+u8yEgjFkh8tAc6UVhpBeNWrp06eLFi19JsGTJEmXb2VVxL9+wYcP7779fS/iDOaLBoFpZamPwMTbFkUKymipFZjvprTn+7ne/W758OVN35513CqCqyraouXXq1CnumlOeqBT+VJQ83JpKgDlmdfrpp5ueCnHRRRedd955WOSRuNvl2ZNOOolnwxn74I99bOuLDj300Nwrj4cccogeUQep6mzZsiXNl7KgxvnDrdEczGHGBgwY0L179yuvvLJVq1Ylx4QyEyX80Rf98pe/JD4kRfYoxrm2Te/38ccfv/vuu3QGVRYuXKiE/zoBC8QUeQSXGCFypPrgj4yscf9mYDQHc+iqYXOYydWNTzR17733Hp7TTJxXMpQDI3/nnXdQy7BRCH/0RTfffLMqI1wMzgEHHFBB8kDF+VMh8nCu+hyTyf0QG1awpyToxBNPPO644+LtFRQG6tWrp9uRNNIFf9Rg/s2D3/rWt9IJfe1rDlhQUMC9qJ1pvpQdNcgfC6/P4UysDeZcc801VCXPmAgI/vBv48aNQwmH4l5kWK7ykB0Prly5UvFGGFUc0x5P8MQTT/h31qxZ8+bN86yccwR5Gb7IcdIhVjsIqT5HTAwPczCfnCoKSgPbFh0O5j/33HPPPPMMds2ZM2fBggX4j2MqhcHbgcHp2LEj56ZS8/YVJw9UkD/lJw8nevDBB9NQ3Yu0UDvDkp111lnKqhTJbgnjxr4JOLSDDjqIxyM4yKYSN2/enHlj1TLnRsd69Oihbybf+VwnKA41wh9WhMcYP368PodbozmYU6aYoBm+MW/yTA3mzWRPpjwCQo1RQjJJMizVdmNaXPh+5JFHKJ4mQQriXjTiapD+h/1jkGrk+jUyk1N11sAMCR8MA5NJIok2EZx57LHHDB67yDU89NBDTG9cO1m7di11EgeloW/fvtJMGLXKFel5clER/pSTPFpb0inRGzRo0KhRI24k3JosYUXq169PQBjTfRJ885vf3G8H9t57b3nDm3mhWos8MkbqZLe9PH7TTTctWrSI642MKTeqmT88kjyYPHny6NGjb7vtNn0Ot7ZzTEQgt2pKAhCZLCaXXXaZCMgezk3e55LHWfgZKYhaEydOlGf87U8TWBEJKv/QSS7iD/3h33ghAyM+Ggkvr+b7p0899ZRSyLAZFT4rLmhDczBHaTBCssnLGbnxy+NAzOjBBx+cOnWqTsmUkd9c2GAFWrGuRPKAM6bDLSPKQx7dm5JJdo4++mi6QUl1veFM1FdZorhGWcUTZVXSoAeLcvjhh8cdUnTyuFrL6TVt2pQQZ7e9hEYc161bVxHZCci5anv/jiyfP3/+jBkzyA7d6N+/vwZXn1MoJsW9r0QqKB9ZTLp164YYqnLc40rn8z//Q42ZHMQIcYtr35gGgwYNuuOOO4TOC2WqMq/k63/sL2VVbq+VtVqmaqspONyhQweyozEWmWXLlmljTIdbozmYYwcMMZHgTCFIM+6GlqqkBs9/opnKokdAnjRwlQSnSwddFpSZPE6jcCIASkh6mSH7mXUejHkjqR4P5jAn2MLfSwgTjveZZ3d47GBPrTNX4ykl2RwkECFSU0U5zZcKAHmU7Wp4/+jGjRuphA5ENshdOd2zZ8927doVikmpNt30IybMntTRBii6GXkUAgmkf9AQehZhiBuasXn8Ya9evTB2yJAh+EN/5Bx10qbrMeKq9wcffOBQca+5GvhjAMxIly5dDAnVzUV7wzpaDhvqAs3BnFzB2RmmGZdPOFXKaUadO3eWLZVOHnC6dOh5o2zkcQKnscaIETZdcpx77rktW7bk3MwKMdAgmGMHVOFYSBPr0jgBW+IRjMIfezIqXOypp54a4XDkSy65RL+Ye32p3KBdyMMhVOnnF957773XX39ddeTZeC2LTQ26du1aKCb5vJcx/JuYkHEHmTlzJrZkV9uk/tKlSzkZluaGG26QRmyhSgzt27f/8Y9/fO211+IP/eGCtBCaBCn7yiuvrFq1SqeRSx6oUv4of0pq69atDUnOTJkyhdVkHT///HPhIoZiRUaK1BweL957EcCfMWPGMG/0Sgt03XXXff/739cyVKJty+B06QTyQxnI49BxDq5d6tetW5eSnHnmmaSDbaMYSixzwoBxazQHcxRRhEGPoI2dbQirx1m+2G07pRo3ZuccWep07NhRcCvu2cBBtm7dqujy/f6m06hUoKWiiDxKqQZXyvJsMvtHP/oRNc5isvMbKYqDnCA+AnL99ddrGLQr2mtzkXas1+zZs++77z7HLygoUGV0jGKreKnxKIQ/9Id/U87HjRv3+OOPE8Nc8uBhbmCriD+EUbk0MEPq3bu3ruzJJ5987bXX4h0PyoFYkWgMT9iRAmHiVnKfPn369u1LV3U48ZRiQXzeffddZs9Tim/4lKqA06XTyAP5ksdB08MnH1mT6/Xq1VMDSIoezvrhAz0hOJ7l3W2bpCRQfamTPTUzYCMuzdk47LDDND+MH17ZljeaZuET4kpRHsnBK8u/5cuXa0gq/fPbDr527VrkwfYFCxbIddXUkst7ni03JmW6rhox4cdkf0YeiBuvt9xyC2YqWJgpwkC3rQL+0B/+TdrJtrFjxwZ59NlGiHhxF79QYCudP85r8MiD2IKA59iuSUNgz7JePCQ9VGVyDRvmUFoypShcfvnlWGeOTGlIEPG5//77MQduvfVWx6868oAzxlxKRV7kcbj0wAmsbkaeuM6mxzUl/oSYeFbt5Oii/KAKzsghzx555JEEp2HDhtYbr7TR3JraTItIkCMjj+bSMqdrWzEotLoRy6b6SiP1743K+/4Qg6RmueTRE0sd623VZUBuTCJueUIARU/2cGh6ns8++8xcnE6HrYrrcDDHkTWcgimwdhZPXJVzng3yUB7Veu7cuZyeqsEy6Tf+/Oc/71yVKpE//JXFzciDzP369ZP3TNpbb71lOZQbJcC/cR8sA83BHEEzC/bEy6VE27ZttY7BHwykV/RTP8kJC1EarKqBM6ZTKhGlk8eB0kPuQGhLIfLYxg3dDuul2znhhBOiz/G4BUYnL0EVf+2GTgqnKPiX/dNYH3HEEY7sXyn46aefpgtbAUiULVu2SO5ly5bpm3kquahz1UCnE6sA4r44IxHk4UkWLlxo5FI2lzxZTCJueUJ3hBVXXHGFVkG6hNEiHZRkwIABbdq0adSoEU6qX8wzTyi89CdsEr1SwnFswoQJ2mujUi/WrVvHs1GwrOEphErhD5IEk4M8pm8KN954Y5Dn7bffRh7DYHEJ0QPJG5cysBs0B3O8VssXN45liDCinx10R7NmzfLy22+/XbNQKXdIS4aTphMrHqWQxyHSg+Ug63lkP4Yw3yJl/TLy2PAU5vBjeGKlscLjCoa/Xis5KJLokBo72xPf2DZVx3qnS1oByBKFVuZZKpqg8542bRovHjdGnCKdXrnw8ccfW8UgD1vFhziLXhY/kVPE2DZ5kxuTNHB5QykJ8uCMbof4cCwPPvhgly5dhEjkWUHBhAimE6n0V155Jd6qzaZpvsRWpZC1ZIcTxpA0OkWhgvzhF6ygpEceJcPKko5LL71Uz6O3ERklxiwoDzI/++yzueQZNmyYPgdPTA1zpITZ+cuYOAhF4oQ5N7VgzZo1d9xxh1Pk30NWBMaWTq8YlEQeL04P82XE1TZpgRjoEe90POWUU8Ru//33Rw8eTHlACeGwjz1pjpVWU702rhMIMf6IuG6HfJEm5aR169a8ULqe5YVS/cknnziOdcIcSxWaowTy2ZZq8ODB/Ew6yTJC+SQ7NG3Tpk0ym62SnawIZ6i+Tpw40SmU2w4dOpx//vlZTMp0acjO9ISMkBoUNR1S/NJLLym64sMXIYzssZuQ0h/+TbIqYZ07d+bZFGnDMOuXX36ZZTXIrVu30uE0OsWj3Py5++675TrCozHFUDfZyCZNmrRq1Urq85DTp0/nbA1Dz4NFc+bMeeihhzyecGd7w9O3b1/zpVfCFW2zLJIYmkb2dciQIcgjGiTU2iFVPpcuKwWGl06yKBRLHi9LD7ATLBsCSHeRkh+Y06JFCyzyL4WxrlbUtkfCtolpKA/mmHbEJe6uIo+dmXiPOGbXrl0lZbqY5UK8RVeUrRa3pomfNGmSpYprO6qyhjsu6bAB6VTLAuShaTqQzZs3a6icSDlcuXKl1kIfrN5z505BInJjUibygFxUtjVpzmJSCraJGDNvJpjBRnGWZ1Sd1RFAtkd3LsmUCUVah2BUtFHKRteUD8rBH1w94IADzFE+kERMtrJxldWoOnXqpJ9BZuMhgH/605+UGxXtF7/4RUYewHkkoTPCZe4yBH9sUNR27doFeVRAZYtxdZY0TNUCw0unuhOKJo8XpC8tClYuLrhZSNygG8IUF9CQAQesrkU1c+EgL4ol8VEvPSUuYm03z4byqFgKp+ijlrLt7OlKlh1eK8/0posWLcINqfzwww/LZusUN+MZaEZCG9qjRw+9NTuRTDcvKP+gc0BOFTTXuUXbk3vBjX3iu7KYmHX+/LEnZe7YsaMpSBct/oYNG/Qwf/d3f4eNIim8EM5Z/yP4Mg9zTJM11VHQHEOSrBxmPpqTizLxZ/jw4UxpnTp1DIZaGtvObY+BjR49mnMm0Zj8/vvvi5XIc6EokXDnHyNibdu2lQmERSXFHCkkQ66++mrkMTUtJXtMyjxV1mJUQRhhOuEvowjy2DV9UfGINxlYY6UiLvVYQksrcOYWXlwcVSAJZAfmDdPsLy6SibUVJo+H67CbNfAqa5+uYVkQLTUrJY9fffXV2bNno43e/Z577rEqhF65UrZxpnv37sRNOZSaVkW1tiTptEuEFIzewzZPmDk3aU18Vq9erSfRYGgzFMhMfFipLCZKQxq70iAzJJDR4oDTOS9x4zkNWzn3lBwVTCWJK27Tpo0q4HRO6tQvvPACyVXdDc+Yi7tCUDLy5I/U5yOsmpoYXYr1NTApccIJJ7Ak+mGWXhwYzkcffVRb+Lvf/U7p0YvaNlp+L+MP82bKOh8FVz5Ebb3ooos0kJ61G6ftVQS5Sq9TFwdjSKedg8LkUfvT3UuDbNDJKA/R+Zgn/qAEYpARZMCfkCZL7nGxsE3TxcW/HgxLI9BYZA1sWPsyrTfacAKhNiLLrnAI6pypDho0SO/Rq1evbt26aQawBVWuuuqq+H4jsE4BjjydfDGQTM5lYDYy8VFEM/H5bfJxFHWR4mk2qIQwUjmCELdKIyYilk/JFDohwgcVOs6ODyZFefRR4ibaSpL+R16qCyNHjuSClAzW0UhEw6uioJQbpfJHhA1VDeUe6WqIj8qYiY+1NnHjRG+sEBBxXr58ubjRw7Vr1+riOGoFLpc/gkZbxI1bU90wh2XwlNphdryfCKjaEahqhmGkk9+BL5Fn1KhR0dmnu5cIeSBwYR5QworGO9yi1nLAAqomCahiqYkM/lBzf7EFc5xLuVJpiI9lUEe1+KXeHrWDzPCXAVD15SsPQLLkEH1HGNHHFlTBEE5AklEAHcjFOfBvoGUCSpWGYCcEc8BJiYByjq5Z52MM3FHuDR8LHONhaYI/ykoWk3z8m5gI4wMPPEBInd0ZHXbs2LGmhj/0x19CqpxzPtroefPmrVixYv369STR2GK0FUcJ/JFGMVRzIT7R33PjfIQ5qqdWXEkN88aVXJa81YDO6OLwR9xIN3m0dr/85S/HjBnDleVaOOsYiEeATKlTelfHlHVx9uqHkaQhSPAX8pgDGsh1UchzfMEfHFBvJAdKNE/A7FJe5ZaOo6Id1F05wbAFRDkeEQv6bkNVFmLmJ126oqDqi7uqL5nmzJkTl7b0mhoYVFHhsFepU5szijo42PAv9kpiz2rSMNYgDVWaEkwvtDxpIHKQMQeCtLnmLZc/rEjGHxpIfxgVZZWAsFWmlsVEeokJxCWj4JK/QHOEwoA1ABjIFoa0kjVJhj/0Rw2mbJorlVu4cMYYDM/AYpyViCL5I4GSxU9h2NbOdMK8ZfxREDP+iDO7RX8wZMqUKeqLYW/evJlIipiJmJ15cZ4jRoywTyAY5XFLozpgmpJRr169arjJUwJy+ZOSR5trqiaMBtaPMubv0aP/0S+aGAmSo1IzLiHIVOE77rjj0NKRMVNwj0g+ts2k2U2ixMUTmaSmMvexbDI1/JuxySGlPe5C0sb+/fvzYMTEiYxZOjqgBTNsMmj9AF399a9ReQpdjc1JMdx5mSJ57OW0ji83jGDR5MmTIxqBXOYEgj8eL5I/4d8YSPqp9WJB5YTWiwRhOPdICalQxMRIeFojN0IjV2VUawMzDMwhXLKKvsVJtQr4g5YgRBotaaeUFLqMZs9sA0Kf/Y0NiGfLhEL8KcScQHH8MSONGf+mcjVp0oTgW+Kbb74ZSZ544onFixcL10cffWR2QqcQINWsWbN4b3KKMJY73iFBczBHJcJDx0/Pmh+MLdsAuRqIfyGeLRMy/mwnj0omia2cqZqwaQd/8tdHg5D9YidfZao0jYv9YdBlp5yIkh99kdz1rN2cKI7gvAzu/PnzJYc4yr947z1t0eKzXhI9xAqYBKtVKr2NKiIVvgKjMlOOz1gkiQ3DCDMKceERl52ZE4h0LOTf4uIbkm/cuDEkKFogFLL8skFPwoapowMHDjRNRGLnks7rCqKkKisHCjOZshvNwRyEzLjhpM7ljEbl1EGDGIa/dtOGgcHgM2gqwIZHPG46Xm63OIKqFHSKg5eKjD9FMicQCRD8iSvXikLULP5cSQ0JUk9ZZZPt27cve6ZkCw6htuIgdMIoAbhxvi5uPWMUt0ZzvFxmOkV6yi8jaGAMktaK203XAAZj3TPgnkc8Lr2lhN3khkTyQkeIg+SD4M/XpIucNjJphD9Ry41SnjmTo+d/RLCzoRiQ8RmrIuQ4yqoSK5QKkn9FNq6tmWSMG3MUJ1kFipN8QhXJbR87WA97ZsMo03hy4USOZmDoZzAZhRo1auTszigOVldAimNOBpmXe/1AmhaiEKlUVuNLoUKIJMHzzz8/c+ZMjisqKwMDtnUCKu7Lyaem9TmOIOkLqYp0z5JYYvE86jHzI+E0D14Fzmhb5jm7p4ihoh7uKNoMjHLkIFLGovQEJcLOJTAnQ+SuxZWaksdCW26hprEKZaiQMp2xyELrTq+77jpcuvXWW4cOHaqRu+OOO+ICqd5VWTn//PMRL26eyof0TAlkhdM5V6wpCyORSDquqt1eJZ+d0bZVltiW2zCsuz0lpLHJT1mKTnLMwR3NFBw2PUGJ2B4QuWIm8kb2yCGZ5ExO4xymbUxGFimevqiMyE16wzJKRzNQZ3FG4cOWoI2zm3ykuD3tYxliAcJ6mXBc7I45G1iUjTLRyc6ObCUcR41QKYRVlNUOiyoO+ZAnIPOCQnIxVEh2ylGZKl9lrdyVwfJYNstpmS2/I9Fty3tP4YA9vSqI4WiFEtrBHRmjvAq7cAzT8A3rgn54aBsnMRM/sRRXMRZvsdcZnR2fHQG3MRzPsR3nMT8oVKoK5UkesHBBIUEOFcpqqOWTtfJKBkswYZcDMlt+i79cty3vZb80sGfkXjigQgkdK4hRXoVdOIZp+IZ1uIeBeIiNOImZ+CnNcFWeW2LsdUZMNgysllfGJs0c0LmkXFAoPVPx2B4QCyZdOBa+hXvhYaSRMWUUil5FCMicZDUNKDVf5TR4iRCAwaEK98WDcWL8GFdmgYk1mebWkEfI4rX2NzHDiM6E05PTXB/vZ5DR9HtWrO1m8ryidTLh/FkUFcuJMmtu/YSVg82SOE2c0iDzMhbxRUEkR8h8VOKhtpso8IjHwW5eFb4rDmI7juDlWTbbjX9DA16Oo+PruDu2R7pIiDB+HCAfKIA8IWdoNy6RHeIYsYj54SE5SVwtRKFQIWeMYRRHIaOKmOTJH7AQEHVQzsh1mRASgU7SVDplCB8FdpNaWe4Wt5p2s2powMtxdIoFd2eaCpAKJZ1M0GTDCsYNjLhzjUtCl7FIkuMqV4mEsojPlKWZCpWcTkIhIOkFA72y1MwoJNGjM5FSWKQYSNM4BxFwmmjNzdxf8K9E9JTqErXcy/X0xqq/j4+w6/iVQIvndJYkt+CZMP2JkCk5ktgwnNdJHTDqFg57Cp/NGXnMH6ns5kRCYGxGZXlEP6ZXKqxr8MeRnciYhTiiEcifP7kwKZCLkY7xF7JnYyOAG8o/mdqwYYMgxCUBuU6yYk/5jTlqzU9+8hMLZDlQnfwatvkKjtppdSImF110ES4h0k033TR8+PD4VIIiFUL0VvI1iFpzYoiQ5DEkyEwNw2RjqDGwDBlzAvnzJxcJlbYjKbzbEf9mz8ZGnpBvUv+ee+5ZtGgR3V66dKkyIcFCgVGFMmMU5pisSKoUJr548eInnnjivvvuu/nmmyXbxRdf3CT5MrBQIVFFSAks2Rw/+CNDihxbMAf+cqnauS+88EIZGSxqlnw1R5R8xV6OOpN6L7PBhn/NIfLYC9u0aVNQUNCjRw8rR1smTpw4Z84cqbBt2zbrJEXS1SgK5qmOGquccHCpYEMZMBN0DcQj6GpWsgdFcTsuN4PxyCE0sIPSled62FOlwUy0HDNmTBqIHJSPPyVDmfdXTHg2E3/ppZc4Lop3//33jx49euzYsTIef2iCbFZraA7mCIsIMBXbky6ZXfxVcQQELHwWE8GMtx3IsEcfffTZZ59VgK0FHoYEFcmfnfWnEHMC5eNPZQHxFEqagzkrVqyQtOKWXdcOjBgxAkk8LpLCa9bhogUcqRhd+xBw6i1zQoKUTgU0H/5kzIG/kAemTZsWNw1JWyC5o5jCv8SE9Wrbtq0KhyrcJK954403DhkyZOTIkQqklTYr6mltLEORxawQ7KAu0jpxMQGMlSU4QE8zivqLvXyaCiHXTYzKmyfCIDa2Y68NEoQGZDB//giQc9HGNAQ7oRL5gw8y1RJa9Xnz5imTDz74IIMuFbK7n4KJPxI9rozpc9gwExSTdMTFwHxZoywmVIid65d8f2+si7zJ+MMC5PKnkH+L0RbJnEAN8sfKynVujeZgjpEE4qYqsGfxCIZglJqIQnJSkxnt6PLk+3vvvvvu3r17qzLnJr9fEvzJ1R9VNfqUXP/msGkIEnyJPDB9+vT0XSvJ15BD+/btr7rqKlThwbCFK+jVq5c1HjRokGMplkQmLjgyBigeJTMWIB/wb6wFkyaPscUGhcEcmoYwjApK0Nbgjwdt8yoYEpcTlFuPE8y4kS8E5o8PakZMuFTQyXTyxaCC/BENBxEZ5oHHmD17tp5ErdHgdunSRTEi3UZuanpf/BFSWR65+9prrxEQQTDZdLjFwxqbdRYTBSX4Y4KUjf7IoWiBwr/JP+3B1q1buQNtWHb9wJhLYE7A0qdnrV5w2qKkEIgkbTGMoUOH6veuvvrqdu3ama9qbsp/v+MrRFCI/OrqSZCqofk0X/yR58JCfzgm8RcueaXuZE2+BFOg8QddlXWndrR08jtQmDzAPqKK0WCLcqjF7969u9MokHFBA7kNiKWmVFKBpVYgtyTfK10m2mRQGjFHfnAdxAfvsch8JAHDZiZ8GsIghsdN1W4maXpepSRHrcUfVcQOiGf/PPufnSNSJMrHH4monIuMsocPaoRiyVHE2w4sG71luE3Ngil7+CPgckL/QwSc9+WXXxZ5T+UppBDuN2LCKeCn0zmpU8fH43jF1atXcwcaLbbQ8JTkXPNmzMmkS4HQpaesRkhodkul1ucghjFgjrqptioxEoNzUfcFLZc/dMb0vYplVSk0QrYZWrIvPqqMPp8xVrglj+WIrjIzb8THQdJp56AI8gCVt7oaGIOgbqg8cOBAFKeDlkFjjTbaMpUs1MZL0nwpO7xWDYiSiTCaYISJWNgI9TQHVJFhUs1TAuRZCoMhnrKbshGXEDRpIU0YSHNLzjmRTaabF8rKHymoznFHnBIOPPPMM2qEAN6QfLeOoTZq1ChMplmA2Ul3ykMlpDU3K6cFWQmzlvmTx54ilsWEd9AyxR1JzdWC5DugDUm9y8RHS52JD6QTzgMCmJ61WmBqcpq20E8lXjD5NFVeSkgGT6mzCo0s0lnErBP6bOcPhyyrzZ1ZJT5vv/32zJkzibzlECKNYpi3THziqhiuqumsbzrhL6No8oBlIzX9+/dXt+Kdrffeey+vSQGtwYsvvqiUql6CHh1wuaH4ETccMHMpJektvJlwax6RB3iPWjawCyvkhAotzxQJO1PVsHke0ZURHyXEv5yrY5aQc2aUTjVv5M8fJdwKyc6VK1fyGGzt+PHjLaGlouqmaZ2st9oW7RnymJpcF3PhVY8cRI/LnSu00iIddH5wwNyYZOKj5D3//PMMj1ERN8u3ceNGZ8k6n3SeZYEwpmetFig37I+yQknEE3m4NZVUiNRKSWLDxJVXFeqmm27aTp0EmMYtqx1cgM5CUbMuOo7bbruN2lsRSUW4ZB3v4yzyRwzV7hEjRqRT3QnFkgcoI5M2bNgwysBLWH4jZp2NQIuv6aT15fNpuXAcvp/FMly6gTChPEii4iIA5sQ1JZ2MksC8cTumap52EC+ZV69ePZzBnLhyYB97Sk2vTaP+ZYhmOskyIh/+0BzMWb9+/apVq2iOiFkka2AtNY3xrrxwpyYl0fFHkSOq4sBIcOfKv8CShccff1xTqwqWUAV2RrAxYqJD6NChgx7VIhrGc88998orr6xYsULplUYGmTm38pEHBDM9cRVDGhAWOYn2IhPkQRJJH3UWfyy6iSu+4ta3b9/MvCGP0j9nzhyqS2ktkOqv8/E4KYsvRub5TzzxRNxTyDggPOT30kkWhZLIAwsXLtTaPvDAAyyHukXpMIdo8o5qVTSXFYRTIIP1xhmUkPQGLb3wxxxklaBIslAe1Rox0MOe5mlnjxNWG8oP8ZWa/KunsstuaeBzIJTp9MqFkvnjWWqssMnO+HicuAkg9WYkrrzyyubNmxtqTM28wHobrSCQCO5CTxK9h8yeMmUKU2Eh06HnjdyYOILGwKyVP9aF3Y/LBrnOjcNMp1cuOHh64qqE1WSr7rjjDrJJzJGHMZP6dAappI1I+qtVFkydDxlX+rdTJ4FVUMjUfcIuwlgkGvyUxoS8O4isU7KdAv1kYwnXYAOlkAdkQGiOM3Fry5YtW7t2bXxQMc2XCkCJZV6xQmikyHnnnSeN/Cv7zSQExL80x1/SxI+GbcMQ7Z0ZZuTxuES5+OKLo+0xfy9RiiLuGQQxnVgFUBx/VBOdg1xUGi2SumCN9TAKkKaxW7duyiFvJqdNJFw1/VER9D9t2rRhSBRUnHEoyqNCBXkwTdFNJ5AfcmMijfBWDR43blzcrY62xzoGechOOrEKQGDTc1cZ2BN2gziLsLaCmDuphtwEZQvFsOiYwxLzIOyxpsMOGZBH56lweDmZVd3oMEtFlnduezyeTqx4lE4ekAfMtyIa393KKDt3pEsFwW3jt2ohNDwY9h+X/PpKXHoio9nFKBlmSuhEkeSfeZokOqncrJ1nTbsQecIXRdwDIphOqcLYmT9afAWFIJOd1atXx53v+FQCb8CzxQd74pJgrJCp8W9GznN7FsfmzZsnJo6mNLJVahZbYudCEykVuTHJyDN27Fjk4R1yb/g4XTqlCkN409NXDQRBVaXhyoqORRfnjObVs2fPtm3bSh5ZQXNE2JQpkn5mO2l24Gc/+xm2sKyURwK/9dZbQR70a9++fXbDVMoVecd8Z+RFHpAN8+fPX758Oa137nysf6mQbRyO8oA8bBvbyo8ZvRjZRgAkieYHZ8CGf+NND1G8Q1uItW3GV9T0x0QpI0+u8ghfOplKQqEgmI4H5SLpkJqLFy9WbiiJlA3ydO/e3SKhtxHijymAkok5GKKn19Fa2jgaBRNqL6dXEZN0GnlAhc6NiZaabcu94JaRJ66UViIEOR1EFaBOnTpCceutt3K2IO85N2fEH9VBDNUmtKE5mEPqs4YHtHyPPPLI888/z6/qeQyVDBAiDLzhhhuEKCOP9Yq5lIp8yQOqlKX1V7NV8esE4CBWsWPHjqyX0Mh1rIC4TqAqx2V7jygn0eegk78ep9GxG3rwP/RKFmqOJaKdiXuhnkf40mlUKnL5YzrqGUugLmbf8Sv7KY+VGzRoUK9evX784x9bYPyR0+ZiwTRpFtv6WcXZs2cjXly9DPLIdXlvyjQ2/2sGZp3FJG6VOv7w4cNlD++tZrMuyLO5an48QqjTcVQ2kEe56du3L+YwnFRdVUqosf3D28qTp+ISMc3JZQ7obR577DFz/+1vf6tkq3G8Kz9F7eOtBmFn9PbpNPJAGcgDwr1hwwbNZaWQR6meM2eO7IlrYtyaemwObKswSX21U7CCNqBgm55HMEe3o7hy9vbkT6g5RWrZsqWkpE58TuwQRxa7dAJVgIw/Gp5PPvkklzzq3BNPPCFlrZw216KqiPhDf6wWXHnllZ07d5bZkoBD4/QcISKDh5Z55syZKuhFF10kJkpMPvzRHRWKSdeuXR3knnvuoWyMSrzPQKuTTqAKIODpaCoP5n7AAQfwFNddd91vki/ieemll/irEJ8AwuReIcigO6K65q5Ym7jyxFq//PLLWkrPWpTWrVsr0xMnTkwnkB/KRh7QXCKP1Y2MqQjef/99w1UdI8UtufUmHYRFoUUM/JEEqEJJPHVC8v5ujKI5wRywpxKLMPEONyGgvBoJj++fvMlAdNKhVxmCPxl5iDNvsGTJkhdffPFXv/rVpEmTuG3iM2TIEPyhP/ybDocfYzbUS8uv4L3wwgvY8qcd3+DhUHoe9POsdjZiUtyV9wzmWygmDImWQJ+gXVZ6ieGrr76qa02HXmUQ9nRMlQflVRooN6LKehFP4qMo5PJnZ4j8gw8+aE+ys2bNGgmsL7UhtuPHj7coXbp04QUsUzr0vFFm8oAFrjh5aNe6detMTDMToWHAJL3s1+MiiX6G0UcAdg5bjjzySGIiLTzOrQVzmJP69etjS5MmTZRnto00YRrL51V2ENZ00FUM/EEecqGLYL3efvttRW7hwoWzZs2aPn36hAkT5K7J0h/+DWEg3rShKFpC5tv+XptGJyGP+FhvL0SzLCb4U5z+0JxCMWnVqlWnTp0wlmdzlhkzZmhccTsddBVD4qYjqyQgjwJKscmIQiNcVFTS537/WyEIL+aoGvPmzWP26JXAqtrLli0TjVGjRvXr169Dhw52SAddFpSHPFCoVy4HMNDM5RBDEqGRFuhBiHQCrJrHDznkEDzh4DmWADrhGJApRJIlXBw7hzlxna1Ro0ZeeMQRR5B4yZoOt1oQb2xREVkC7Yr+cPHixdYMMawN/tAf/s2omDSIG2i0Vx1lIeiMl0dw1CbyLsupBK8lSjImi4k44E8uhQiOKO0ck/jqdw3A6NGjJ0+ezLcYWDLYaoL0TYdYYZgv8ii1LVq00OGIrSZC0Jg3jhdDIqrBGRBn0UYzmmMV3njjDR2H6oY8StvcuXOtCI/Xo0cPjWU63DKinOSBivCH7CgbmldDz+4Aig6fRjeQh9/AomhdlFv6kyjN9l8IZtgUV3aOM1FfZQmnJ6BxaU5w69atS3ZKvjdcRdDlswQWVd6/9dZbWlKssE74Q3/USP3PuB2//G7xpk2b9uyzz5IXDmTLli1ZJxnkoWCWHLXoBpuHDGWKCbPHH9K3EDfNsaRJB1qNkMexvhVEkMcELXTfvn01k+LDg61du1YLJJdUmYceekg9AnVKqNUs9UJ4aQ7moI0F0pFaFMuBWmSHNUgHWnaUnzxQEf7ILUa/oKBAsUzDk9ydqFev3qmnnqp7sfxqrQYxbn6xbdndHhHkfVGFM5FSmMPVSCya7lkHFJd0iNUOK/Thhx8SH74CJZYvX26pVD6LhAaW/PEEyqF/dSCeXblypf1zbzpjkeN40BFwD9NuSX4QLt58lE9MMAffBgwYIHdlEpY6VDrEakel8Ie6qhGMPWfesWPH+5KfuxJqVQYf1KkFCxbMmTNHMVKqcEZLYwdmWHvDrdEczHn33Xf1oiIvJoMHD9ZnpkMsFypEHigff1RZ1YJvadOmTdwhDXDtKqjiKkVkAP4oM7ZPSb4ZS9Ioq1pnPOHQqJN9uDX7eMSzIkvHSn1XRVVj27ZtH3zwgVLHI0lZ68pj6H9efPFFK4owgBIesZCrVq2yojIg971OcbXNkq9evZpzi7ZYmcSfSy65pOSY6HO4NZqDOeyNMkzxlN50cDWEivMHeVhxZcLElcubb755ypQpatPW5PNI2hgWTrRp9euvv84zx8eW4v0TKhHgmIBjFy/HsFmOdHDlRUXJA2Xlj5fIKuwfMmSIUsqqpeHZ8Y5G1ZR5kx/nJt8fL1I2aEvA9vnnn9+yZUuvtSFjlFuagzn8jIIUo6pZMG+WE3+sH421lkqglXslAS4tXbrUMvNRvIflL/ReJ8qjTLJ/Xi4VFMhHH32UecOfLl26UBUxMfc0IklMRENM2rVr16lTJ30OtyZfMSduvKbDqlFUkD/Io6njydUL5cM077zzTl4Uf1QZMdRFazi1AyqXv7aR6vPPP4+1EGoiL+swx0h0SumwKoBKIA/kzx+TMTHVVKN84403igItTsOTQIxYWzHSvfBvuBGZoeISGZA3GOXBeDtGo0aN7Kkg0ZxawpyANbOKrJf+R7GweGohnQEFMj6O5lmr/tlOv5+DPI4gUHHVW7jUSy5XE8y/4QYKdejQAYsuT4AzRKlr1649e/aMW4T6HM6E5tQS5gQqwp8orFa5YcOG1l0mmKzOVvfCxQhvFkyiDU4X/pltW7ZsGam3p5jQnEphDlQOeSAf/sgJxUAlnj179ujRo6+99trGjRsXIg/snbxFP+7wKDNkmgppghEJbJyZfMUcu0KgGjRogGn6nBp3azsj7mQTEEtIYTCBcwDbHkEtOxT5/lq2TR312o0bN2qIaVT0xBMmTFAgmDEUUnquv/56RAIbN9xwQ1z7JlBiO378eH1Ojbu1nVFu/iDPfsnPorEYll5rd2nys40KClmeOXNmdDgKEyLJMUUqLtiwyjNmzBA6nbA+p+JuLUOlkQdK5k/cQ1RuFy1aZF0FsXPnzkoInUnDswPChD8eP3zH773QFt0wIgVwRl8kiJ5Vig4++OAavEJQMkyZBGV2IoAVHmTMiosY8qigzPqmTZuQTSpIC8lBf6ZOncp4oJCkEcO/T4BOOKMv4tPQZvLkyfxMDV4hKBnl44+s+GbyM5IWXQKons2bN7/sssvoz+23365e8DK0RYl5LsEzzzwjCPoiAVFYCQ7TW8ErBIVQmeSB4rIh3m6s9EqCWbNmjRs3btCgQQUFBUKws/KASO2VfK+aYFEVXRB5qbcDtuOGqWc1kTVyVTp/IIm/jETStW7/3kP/CkjuFYKdYYePk18OJj5x4U7o1J1f//rXTz31lOojV6RFXPhGp0ceeUR789hjj6myUkf1TU5eS1E+/uyzzz5KqqUPS6Lycu9t2rRhYgkvs/rTn/5UGb0/gfoycuRIJ9Jao02PHj0qclW6SFQyeQB/FE5g0sC/0mXLli0qKPtBNC28GhkfotDVcGiokobny9D/iFfcx7DbQck3uYFtj8SNDgU4PXEtxqeffooqATGJ+KQsKQYRN5JFfN7d8Zv1r7/++pIlSxYsWMCKYIgqiyqATlFxUWv+/PnVfCe0fCgHf9RTtZJzU0B1Pswb/mibtcRyqVOnThoBRk5qYQs62fZI9IflvhNaAiqfPMCvq5qggWNXwrhbeKtuDsokm9GrV6+2bdvqZw499FAkScOzE/AqVIiRQ6R4h4Ftj3hVtb37puIoTpOLA5oJY3bVQekRwzfffFMbw8ovXbr0lVde0QgtXLhQVIGpo0uvvvoqeU9PWetRVv58I/klDjWU+NTf8ftZp59+uja4WbNmF1xwQatWrTRCiNS+fft27doxda1bt7744osJcnrKSkWVkAf49Q0bNsSFJq3bsmXLLDDLPmnSJHqqb+vWrZuJIQ/3VQJ5SoDQpyfbRVAm/hAobQ+bR3ze3/H7c/zb6uSXF1auXLlixQr1CJHYObAN1fCOz8pFmfijjKqeTEe8nULTiz/8mywiQY0bN27SpEm8N1I7BETJv1IuPVllo6rIA5s3b7bAy5cvVyO5tZkzZ2p2H0p+gH/AgAHxVRhsmypCTNLw5I1djjmB/PnD19lZv0R8Psz5/ax169apR2vWrIlr34iUoUo/ZVB1yJ8/yMN0sOvER83FH/rz3eQHy+JOsXQiRIiUQWeYnqYKUIXkAcWSBWfEOXKtjgZXPzd06NA+ffp0TL6v/rTTTuNf90s+DJc/dlHmBPLnD+emWdL5ZPxBD3oeFHon+VkeXi6gVKUn2AWRP3/ineM6H61v8OeYY4459thjUej45HMrhAiRAmX6ZFs5ULXkATbjySefpDlmcn/y/agDBw7s2bNnQUEBM6pOEN8DDzxQUNLwlIZdmjmBPPkTl1t0Psxb8Ef/s2nTJhRiz9avX49FoEJpLNND77LIkz8cPvGJa0jBnyOTH9ZHIYkULIKGDRvm/2nqcqPKyQNvvPEGzXkg+UAL2enXr1/37t2vuuoq5Dkj+Znoww47bK/SPuYV2A2YE8iTP8Tnz8mX3wZ/tm7dumXLFhSiM8EiQKo45q6OPPmjzup8Mv5Invi4V926dbGIkUGkPL/Bo4KoDvLAkiVLRo4cOWzYsFtuuaV3795du3aNr8LQ5DGsZl6nTh2ONg1PMdhtmBPIhz86n893/P42/7Zt27bf//73H330EcIEi/wbR9s9UFb+8G/fTn4b6tDkl5uPSL6rmcFJD1fFqCbywMKFCwcPHty/f3+erVOnTldccQXynH322Scl34Nj/sKRxqYo7GbMCeTDnzBv+MO//SH5/VMUokJo83HFvqmwdiIf/sTdCwmjW1Z2s9uAsqg636VVfeSBuXPn9unTp0ePHh07dkSeFi1aNG3a9OSTTz7uuOMUDCFgZ9PwfBm7JXMCpfKH+OAP/eHf4sOqKESFII6w+yF//uyTfD81CUKh6n+vSbWSB2bNmnXNNddcffXVl19+OfI0a/aXD7Exr/vvv//Ozc9uzJxA/vwJCQoK7d7Ikz/8m4JLgvbdd98RxX8jexWhuskDTz/9dEFBQZCnefPmZ5555g9+8APic1TyKxH4k6s/uz1zAnny54svvkChPYE8kCd/vp78/vbwYn4FpEpRA+SBGTNmIE/Lli3PO++8s5KvzyQ+DRo0CP7Q3+h/9hDmBErlTyAuvu0hyIc/UFPv0qoZ8sD06dOR54LkF63POOOM+Exb/fr1j9zxy/W7xDs+Kxel8scO6a57DErlTw1W2BojD0ybNu3CCy/k3IjPaclPwTVs2PA7yU8L1cJPtlUPSuDPHsicQAn8qVlvUpPkgalTp3JuxEfnw7zhD/2pnjtctRZF8mePZU6gSP7ULHOghskDkydPJj5nn332D3/4w1NOOeXhhx9On9iDUYg/ezhzAoX4U+PMgZonD0yaNOmcc87BnwkTJqQP7fHI+PMVczJk/KkNzIFaQR7An6r73MUuCrT5ijmFgDa1hDl//OMf/xfEvT4ppntrwgAAAABJRU5ErkJggg==

Result from the rotation

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1 time t0 - min 22.7

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3. Fourier zoom RGB . . . Export . . .

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mat :

green

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blue

blue 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mat :

Pad(M,nc,nr), Scale(M,lo,hi)

A robust construct of the Matrix Scale function M Low High Scale min M Min : max M Max : maxmin max min - (1012 -^+ : HighLow High Low - (: i 1 M rows range j 1 M cols range N i j el M i j el min - maxmin / : for for HighLow N * Low + 61 line :

s mwfix

s mwround

M lo hi Scale hi lo - (M M Min - M Max M Min - 106 -^+ / (* lo + :

M nc nr λ Pad A M mwfft2 : insert 'nc' cols in 'A' i 1 A rows range j 1 nc range vert i j el λ : for for a A 1 A rows 1 A cols 2 / Floor submatrix : b A 1 A rows A cols 2 / Floor 1 + A cols submatrix : S a vert b augment transpose : insert 'nr' rows in the transpose 'S' i 1 S rows range j 1 nr range horiz i j el λ : for for a S 1 S rows 1 S cols 2 / Floor submatrix : b S 1 S rows S cols 2 / Floor 1 + S cols submatrix : S a horiz b augment transpose : 111 line :

S cols 2 / Floor

Typical zoom equally
both directions nc 33 : nr 33 : λ 0 : 31 sys

t0 1 time :

S red nc nr λ Pad : iVrgb S mwifft2 eval : N iVrgb mwabs eval : s N 0255 Scale : r s mwround : 51 line

S green nc nr λ Pad : iVrgb S mwifft2 eval : N iVrgb mwabs eval : s N 0255 Scale : g s mwround : 51 line

S blue nc nr λ Pad : iVrgb S mwifft2 eval : N iVrgb mwabs eval : s N 0255 Scale : b s mwround : 51 line

r r :

g g :

b b :

1 time t0 - min 3.2

rgb for Image ZoomElectron r g b 13 mat :

A zoomed RGB lacks luminosity that needs be corrected. In this example, the zoomed image shows no visible defect ... Simply ignore the luminosity correction. Up to zoom 2, Fourier is not to be argued Fourier-Lanczos [IrfanView] is an improved version for higher zoom ... Zoom [-] goes by zoom[+], then zoom fract'l

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 r 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 g iVBORw0KGgoAAAANSUhEUgAAAGIAAABiCAIAAAAkx5FZAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAB64SURBVHhe7dwH2F5leQfwg7WVNhRaQkJKYjGM2EJCmQFCZMmSEDCCjJgYgoAIVSFskI0bUFAJEDaoQGVDQIU4KEOmIwqKoOwRoIDs0fT3nv+bh8P7fd/bel0aIv3u6/LwvOc8477/9/8eTwJW/dIv/dIv/TL/ZKGFFmqP+qVf3qayoJG8P+j65W0vC2DQLYhxtwDC1B79aaVGv1Pa397u0ra2h7Q/k/x+xzve8Vd9i68kM9vL3iz5RNq/G9Lryz+flONqdfo82qcYRdpG9hCfsgmp/H7nO9/517X8TUPeNU/y01fTysr2aQ3p9eVbKF30JMXqnpYWicnBqypTF1544b9tyN81xE9fs5H5VvaqwYIvDA46TXvbRtaSNyT2xmRLqrLApAG1LLLIIn//ZvGG+GRO1juphfE85xTJm1ql9qD87FW6f/2jpOfpRfKTd9ncNLZXS2sMWhLUYm/VXLDooosutthi/1DLP/YQn0wwzXzrLQZz9CgSFd9CKTpEnwiA+JXBjI2lMbNt2DyJ4TGzWGoJqQpAWbb44osPrGWJJZYY9GbxxvtsZ76F1vNPVIlyC5REK74EEIODTrGxbdU8YV0M9JUUvMKvqgmQeRYMHjx4ySWXHDJkyD/1EC99NSd42cgWaJVsFbWag/LsS7p/jZQ5/5etyjOCRIgPIDbGwL6s86ZYV/AqYFWs9SoAZf1SSy01dOjQYcOGvfvd7/7nHuK9r+aYbJXllKBKyevRr2g8n6UcaoDpvMhOBrMfFjGtp13esIuYYBrTChusZWNVAPY56Fi29NJLv+c97xk+fPgyyyyz7LLLLrfccuXpjfe+mmY+WO0AdQpxXVR8y0V5EWj8F4AYD4gYVSyKGHcYFcjCL7AErMouYVAACjpWLr/88iNGjHjve9/7L7X86zwx9tInZ9jd2cCynb2oBakWlxpsyrOndP/aFHOKtF81JC/LV08YYTfPsZC1zC4WxZy2JbXEnKZFJjPKKnaFWfapQiJvC0AWZK8VV1xx1KhRK6200r/VsnItBt5476s5JlsCX/uglTCWqkqv0LJjfkkN1EIStsIiTLifXYyCDnNWWGGFkSNH9mWLTyYwB17mAyvMKmFYAchvAMEyOxZ0bLTqqquuttpqq6+++ujRo9dcc03PyBprrOH9KqusYpr5dre1TWEvF0BqPmMUkR/FPl6zDSOYw3K2xJBY0RRWeOkTQ0AWvOL7MAtYicHKdn57y9QCuWUFmrXWWmvttddeZ5113ve+96277rrrrbfe+uuv7zl27FjvTTAzeIHYbpAKp4JU89kUbyLt331Le14t7VcNaX+omyM8ghESMYfzoMOXrGAC/SlP8yhvTP8xY8b4xAQCMngFLGvZkkCBFKMqGBVaBiBbW1O23mCDDTbaaKPNNtts/PjxW2211Qc/+MEJEyZ4brHFFptuuun73/9+BzsPWJZzha0pKjUkozMg9nRIX+97lS6TWwjV+QhGAo1VzONshjCeazfccMONN954880333LLLWke5Y292WSTTaJ/XA7QkAtYhVbMEWqVkd8hkRkFIAfYYty4cR/60Ie23377KVOm7Lzzzh//+Md33333f6/FYJdddtlxxx132GEHp9LGSQHLnogqQSSjx5hY9aeVGqKWiDUsZg9ns4LB9OfabbbZZvLkyR/72Md22223PfbYg9qen/jEJ3bdddepU6dOmjTpwx/+MOX5O2DxN3ARBRPRym7JVlWJ3vCTqWazGUBbb721jWDx6U9/er/99jv44IMPP/zwz372s1/84he/9KUvffnLX/7CF75w1FFHfeYzn9lrr72o4kj+sYkNbcuxOFUuNMWwpnkk77tIe14t7VfzJC/VNcWaMQk0EcBymnPk/vvvT+fPfe5zUdjz85//PJ0PPfTQAw88cO+99zaHp7fbbjuBQnnxmEgsmSQBWOERjgUjMzhBiFnzkY98BEB77rmn7Y444ghnfP3rXz/llFPOOOOMs88++9xzz/3mN795zjnn+HnyyScff/zxVDHTEmvFKVbyg+Kgc4GUoIiRMSyD2tI/etAheKQSSR1MEgR4gd3Uhs4xxxxz4oknnnbaaWeddRaFCYWNvZk+ffpXv/pVOh9yyCH77rtvwOLmD3zgA2hlnw6kqlQBTIMRLB2DRNYgJ1cA/rjjjjvppJNA853vfOeKK6743ve+94Mf/ODHP/7xf9ZicO21186cOfPCCy8888wzv/KVrxx00EE77bSTyIc70sp/al/p0f+0oofEIzHO05TfdtttP/WpT+E7hb/97W9fdtlltP3hD3943XXXXX/99bT90Y9+RNurrrrqkksuMQFeX/va1wQHsAQEH4NYChZMyVZByuZVIjkYCWaICh9RJpSs/8Y3vgEgmzoPIrfeeutdd9113333PfLII0888cR/1WLw8MMP//a3v73tttu+//3vc5qF/ElpbhF9OAWpwFQzoFPK+9r2NnfKT5JGjNSz2qKYwkhR42kskDpZiyaXXnopRH75y1/ef//9jz322FNPPfX00097Pv744w8++OA999zz85///MYbb5w1axbvnn/++aeeeirvIgRaSVuiVczKy5AqnKpEB9jEMx4FIxYedthhxx57rPUXXHAB7AH005/+9N5773300Ufh8txzz7388suvvfbaf9di8Morr3g5Z84cCM6ePZsD0dsmEydOtLO4ltFdtdv2vRmv2N9FmtMy8HRf083CiBnSqNx8wgknXH755bfccsvdd9/NbaB58cUXX3311ddff52SnsbePPPMM/SE15133vmTn/zkmmuuASttpRQxKIAEYJCSOrhZnDmigpEf8pFYEyzBCLqnn366OEJRDPr1r38NoBdeeAEczz//PKSchFAOgwvhN2NzKAFBKv7iF7/AefGPyZAS3pASI7XJndKEoMvAMwPkkvJgJKVKhWoLyvMlHV566SV6huAPPPBAUe+hhx7CrCeffPLZZ581hyGU/P3vf49ZqHfllVd+61vfwkQJHlI4xcHQF2HwIRWMwOYwJf+Tn/wk3kpGMBJoSCGOHAOaAAQFWIgvKIAPdYV98tRNN910xx13+ARB2hAkv/3222V9p+Kw6FOzsSB5Kkm9OehVapRa7bWnn1mrfZXyxAH6S9Vih5JOhI4nsDAarW644YaoJzEhjoDAIJCZ84c//CFgWfKrX/3KzKuvvhpSkgxOiT4dg/InC6lpIKq4GmxSF2NkXyVzxowZeCR0mW1T6MydO9fT8b/5zW9+9rOfQUQulIZk9Isvvlhq/49aDDDou9/9LtTojVZ4B1C7SZAOgpRIgQthcADKs8vAs0j+jE2rIV/oiVRYQFCSzdgBiNSTiy66KPp4Ol1YSR0sohjvwkUCAZZ0QSAl4UIKpyRWwXvkkUdSWGOlZxRnLZgSblKSJkKNUEFltcQaTgpmgU0DZnPFzTff7DDb0UA8qxTgF1kIKJd5Khz6A70Ctfgz2sDXkmnTpkFKpGg7CwSRUKaLZLInjLT4Sg8eySZCxv7CX8LmOYiIAyZQKfrIHsymkiqstMGLFyHL2YgvMuArbYkAOyCd7KbFsVAFk6R0RQm9yp1DHAo3HZdNGc8bKPq73/0OM4EtmBPDSIRB6CMRUFEnlVZNVyWdIb8xoPGRlrZSlaFjITMYI4QVUOVDHyidh00kcRQUOgaZU2YSLZK65rZhcxqqXyoX8zjGoYSFtDr66KMxIloZ0EonTCWBggS0EonyCRJJWFgv+qQIxNfrwBqsQk9HrXoilNCrkrnlLRv5DAVusYBhYIYUHmEpjBBE4cMgqtjF8ZSAEXSMIzQDd4RyyIXGAIKUrewMKbXDtdsVLFgw3hNl8mxK/b09AVgCVkOsBsFIoKmtcpAcyng+o0z74EMPpVX0oRuJnrBLi0MlqyAiSJVFACmCaIUN+CFJmQBxqxRQHOKVyj90krYW5wkW4aZGUELJAHYKp74JRkWh6OGZQcZ5H3Xz3jjoI7M9+Y1yLoayr5YnPApZChzNQZNNCKiN1B/RUxWjG61iTw7yjJOMSVGMGBd9gMV5gkYaTaMDHaVJesEM/OJLqY2lWLnPPvvgkACvNNyyBs8rST7zPFx4HsCWoXTyomQk7AV8USJiXLjNb/axO64ZeENpX40ttAOkaCM7fPSjH5XO3fjYX/7AkxQSZeBrJqiPUpLUJqKxG0YyLk7xgVNUZwqw37k5PUFHPaeTqBqJPvKXuqYEKdbslT1TzTlA/sUVDhCkMpQ7swxVqXwHHHAAM1x2ZCWTUqRkJZEi+kS+7eQjbnS2Y8BhEGiKeA8U++piPIk3UTc2UA5b9S/KnwEXufS5tZYbX8hVBl4WoukklBt3RqkXRlRiQ3NzA2DlXGJcGB0xNpPmQUr0oYU6mGIlnWOGYiXZyeW44pM2yny3HyWvSsTh4XnnnWcNXMSqQJW55Uh5Tp8q3OK6ljvqs8uAOJ4Bkg7gVUybIqquUlkAWXFs7JFBpRWiAOnXkqSCBQmJMvAMTAMHDtSd2pD2zOB/DrNbdLCnpzLtdBk3p/M9u4QMvKJkJhdN2C9aMQMDgC75Si+YDizV2RFCUhaGpk3sVjHPGulDxIlVnZFATVYSqBaoC6gkbec8EhUzoEc2kuMmTJigfKoL7j0GaoTg0tYDiycShqyyoUpMOThqf/TTHWzKT0+SLslFmvPFLFeLF3QQWXRAHMVHstMKSu0yl6M9jbFVPnEEF5pfFDYIp+zA91JBcnnJUGIIOcSd/MVqoQbxKu2SZgF+VKcKKsnfogOzOFDtc7lDpUJjT+Iwx8OIn91yWYId+noXCMZ7uje6auvvOdlhWUXwyEGQghdjXIx11RApMEWC0aBBg1zOach//IzyxqylBn34ePvttweNXllZMJMY+LnJJpuoUJMnT1attM3mkywkAY4mMhREpBpxJxfLNrlppWSZYC1PV7oDaU/GorSqj0T6gPRKrhoaJWEiSmFffFIb24IJTfTuFIURzagoMedP2l0mdJIrrbTS6NGjuZfD3QAYZh+6YjudtL/QHzNmjNCToeTpmkCtVhtkMrccb0M85S1aoXZ6IoIjtHd0OTeHDh8+XF/mXG2HGxKC4xQqRPOwqQyQRdsZfkjkbJfFEcpYqhFeugeEpXnlPOVDTtUvSGZUdzUBk4YCxqqST0CND5tneKISJfBl/fXXp6uCzWD+z9+UanP89JLG5kAK0M5ysJhHbIlGW6yOmDNgwAAAFR55Amvw4MFQcHTu3troJDvgstxCbB01ahRotBc5VCIz9kY6Q20ZQDzqpx3ahClPzY3CL1xkG22wMqe+IxTbOUZvJSrpjEkVUilzuIdmLnFgkvDBRLP0WhKTbNeEyZPISqoAXVEJI6jFmTDK35WLF7l5scUWU8hHjhyp3580aRIjWWihsyUFQcQTDGYqTJt/GQMpkQhlm8sRafyoQVswUUYouT+svvrqyy67rLW6qhwKbmAttdRSOCXw4ShFSgtSWPQnBS/eAoS2W68kPckz6TO1QW5/XChlm2xtRXXcA5P4MhVM6C2Zyd9iEEwCxATKdcDEP3R1Z5Ya8AXthw0bxqXQES8JovxJvsLPsfIX9iajiT7oSwdKjLFc5hZSSp6noLMVUogaXmUASzCRttlB0ZB9XO74RmyCOIcawNehYt+1hntkKPXX0T1h4jMFITChSGASdLkAgUndcFzvMBU2FZjSpPSESR2ROBBbtl5hhRU4H+dBQ1cY8S0nCwE3DF2PPCKRIwJciFgGkz4IQdjDMHQoMBGkkG5Ea/pS99VjjjkmMNFBTnQufM0x01on5lAUdiiW+SobALovmLBJ2u2AqcmmN2CipeMTdHJ2gUllSdDhvD6lZ9Axda+99lJKkF8GkTU5kH6UFncAoq4YZAYUeF5HYwnN4Otsx1FLMWYwiMvfwSToCMvFzkYbbSSP0ltapbRMymESufwtmgQ7H5hWDkWl5ETvlTzLt9lmG2nRwqhNApMnepZOiMPkJk213MR/3iQ3md/KTTyMe3yrLsJlzpw5gYlmMjpjJM78AWiBqQysVexdnjfeeGNxJwdBSjISQdhhIDeDD/OlMIlMsIBJbtLNSjdO0YjosKxCBFETHqWrJLgpv0CEDZzMZ3YAE2WoLu7Gjx8vPaXM8ZBDHa3DEOao5HLDheXopuaBCT/0kFiDqjoyHVPYJJJmzZoltQtJrm3BhI1OlSn0oy5KEFUUNaN4Trnc5kDOgRZkdycRjPCGBnpI8a/68i3lUIMnSaqyZkpWwjskipG2UoNdWSQmYWu+igYUSHniUWBCLuxgM0bwIkxnz56NWXagA6wRRG6W48eOHavO5lyQKQh4xDcaEWUOmqLGEhL9CU2YIJmIldzsRA+KoJKeEWRSEMPxQ5grMhUDHKyBxDEB6YLiEkjgZbY3TOJz/MzWOSwDb+gqkQs9IUAtoAhAetMSxWQWHUMwcgpkrZXsuIvQUu6AUWpch4g+eAkl1MBZvHZBFaTRRBKgA/vFLCx6Ho1o3sORkTBtak4NO3hCQVcIEd2JsstzqAQsOVonJIzUVgbyZeV/VmKXyx4leFg7I9tLUqV1krmECc1ajph3WMQY3uKCJUo+4sgFemsJG0C4Fg5GLWu1YHSyucQpWkWlFFZIFIDyM4QSiVKPEsFU6Ulc0DOIOz2eAxbKCK5yuvrrdO2SeIkCphXNayNaTVPIIQ1pu/kAj/BDGLFas63zNMcObosVb7ATbBpxiEj4eIR7cLXAz9xXTj/9dJHsGBKDc17GoZX4RRwXCKhNmzZN5vIpbjewEH1UT7cBJOdkeUf26UCn50AuT8mjA93Y48oSmKKAI4Co13W6o4nNYYfC5piQyRlHW0vEL77Id1TS/aCSxKQTEn1iiMkqhnRkTwyoUixlVsksbbs8j026p8cff9z6W265xV52lPYtc4aTHMnsMvA0JvTg6ng7X+NwCzHc8XZGUi+1CHI8IJKSSE+8sMkYodQvSUcQcb5r+f33308f0ecUWxUFcjTJ6cQnYhA988aYw5Al/bcUnFSjdjEZM9xUeEIA2dy9V/KtpBX+txK6LnsCVdsuPtkDWoSSOO0FQXmUqZSI5Tmb1Jq0ziaBKU8T+NNTl4/eyiiGslCbJnfIzXqcgkjpA3pK5ug2NZOCiw32wSmFXAgrCKhEpZxbjo4+Td28DKYpcDK0fIcEaAEd6As6eCEKYxNxAkJ2k0AqLtJW5MoiVV9++eXqHYfDCAnlKbtIaRownlQXYIwatHGqIz2jXzSjB6VFsYzgJRsgK5vYQfVkG2dIt0oSswNNKBOpYXmDTeGXJ5HmdUPKv4zDbZxvN5AlG9DB6bxCSkUuugUpA2Iyn8ncMowcpEzZByfkGRFNT8XdV3qaLH5RSQ6t1HIjqcTbZH5n6zMlS50Bv0EaavKuBA9E6Vz0RbNAQ+hRNLNPcOQNsKKnsgAjjZKzHZcbXCAgBZQuYg5Mk6TUMvSnjD0pKc2JHTtLN5GoQaJVNKQPn+mT0UT1gBE2CBTs1mroKu2WrMRG0FOesyVvBUHRrNzIEMpvBBPt2Ig1abcAhFDAoo0kBWnvZ86cia4OUxwlfkuAAjJi4CdVJD9Vn/YordV+8sknIQVc9wbNlKufdEPYn6pfsOh14GmOJ9Ftu9PKa5I0d/K/oqm34Az+Yx6thIWGGV7RytgbQUArczSTFuIRjDQBMJKSEm7a6VLWIYtKU6ZM2XLLLTVulXYjhEqrynKtpnIIVwWYhenfaaMvl+14T4eqZYcm6uEL5YCLyTNmzACfY8R2+GgVSzARdhorTSCM5OwYn6AzaEHSVTIn811rdFKaI5zieaZyZ9SjmPRKJfpQhkoGUQmDtJHQFLDgYJpYwyCVKjWBksJNfuBOyCqUshICuTnib6Ulc+FCLWWPi8Av9HJ3USmxINcXtAIZatBGjucNzLIv+M1UCmlAS0v0INhLbzSkik/KqI4m11TtYpJRIQipoXgDr56DMM5PHPR0KYEUB3M42qpN6MDa/JUiD8ECZWToopu2hoN9AhBQHn30UUvmzp1rlWyQvkdNgKx8Itz0zNpA4eaUMWPGVP7n7qPl15LJ5VAUO6ir4jpD2ncwXgAep4jUjiAoiup4i1+CEXCO59j0+84GkLMxTkbX8rg9uLLnD3MZjBehRhl3kUyL5Kd07u7mCqmJ513+hwvfKDjcSVUFOurRLeqxQi0CEA2px4We5jMkPJIi8tfiKgCe6k6lCDcwAd6CybXLP5yXW6JuE1KyHaQ0nIiqxmGpLI4gPEBad5lajOkkvGGnaXQqxtGDQpxpB5UBRtrI/OFZeBSDiwQL0hxH8qae1RbL82bAgAHi1z1O9DFJEMgAyJJsRQ3tIq3oRihZ1K4teM4njkR8iRzXZFvhCSNpB0P1krp5QSbcXABGjx5dKbFGfkOOSZgWpKRAmQzA6S/QCjt4zO6UcBLWSFtiO57xkmfMcarsJrxV7vyRkKTr4iZeiuWR2vBOaJpSvmZQT3/jjfjVfK244orcLBT0NByDFCxXcEQAgFTqKIll6QQfe+wxeiKavFFqt7u9WMOjYCQF0VyQ2RlGUmrFjCAlSUFKYscp0SdPqaYWozRaiVs1TgDrEtFYHcRqqHkac6OUb4KkpsF1b5g4caICYfPllltOKtFJxsLa0paUcW11N8m0IuWNhCWdQwqn2MPH1NYHSN60lSgBkWxAT2KAPkKMqnypziCg+qNHlWdyxZ06dSoewQhJC0Yrr7xypUIXpHBKxho3bpwMD1S1L3/2rIngKCVDwkIuHlNW+cGTQg6TR6dPn5621UJRDXS5A0YurvqdpnmR8rOFRC1l3DFoTWpI840Y1KaqDDI6EzQ33ENtXRLjxRG3KV5SJFCIAYVVQ46HprIuvQg0ftUSuZDQ3A2hySOtv0avQtomUj4DEpxaTwHociCfMR6z7KgBcTzIgIJlBn5CR5fhJJOtstxW9gyP8m+elMydZ6+DLtIx2TMD24plzZQGHadYwQRdfvobBYvO2K1205ZQ29gb/R33a9kFjeSARJihroknXFm7/i8OpFQ84mzXyYofgpRXzEtGB6cFyp9mRwyqJm6A4hYWIEMxGhApTJJ2DLU0X/zgDLq6iyyzzDL5W4CYRGozO6Wv903pPsdXlQFSS9f/LQ/PM0FFory7mN4HXu72Yio6G+y3337UFmKCVPoHkFQjYVuVnJ2/GcWjYDRixIiKzyHFFV5BCoSADK2AJb9wDpjh5VSQoRhyesqawlhGoNCGG25oia3Bbavhw4fL2QWjGBOriuRTpP2qD2lPqqX9ap6039b/sao8pfYxKYaUv/uN8rCgPM2jvNiUp7lWhjFHqlH4kQjEFvI0Q7CHv0GvTFdM8g+7g80BIOwAC8DOgzR+2ZFIAZ5+wjEUzdb2BTpd1f789WTbmvkimntIDRkyRKpiHkNYkeCI/shO8yhvzLXyA/0LQIKJFUlGnI09MBIWNqxUCv+AlFd2D62SrRxjJQhsATJ7OTJiXMgJVvsm0IYOHTpw4EA8St9M+zzngzgIUvlLOgHI8c20y+tN/UlM8J4VJhRDrEqgcTkO2QpEFcPkPz8Y2QGWNaB1jC0CmSfxswN1a21CP3UHjySL6F2ePcX7SPt339KeV0v7VUPyMl/xN39PN2jQIBWWUUxlThwPBZrHlkgM8d5XcwAUc6wKiQAkOEBUYakd/QitClhmBy+LiV2K+AnvcNJk2thBMsJ5tR+PYsBbIsDCKZ1n/mUCzsMIZmNHMadtRi1+eskcX8MgCIRE1gIof5lWAd4//ChgmZGEZQ2BhfVF/GzuZSPLJSM+hFEp/NG4POeDNI+T0RdZZBHUZh3TGNxkQNuSeRKLfAqDmgABmvtZV0HdP/xgbWGWecHLMnA0xUufslEAQiI65Y+0o2hT4zx7SvevHdJlWvnU3NBT4HObVAUs1rG52NVhVKAhvibECkBQhk/rD1oZqekwYrC3vpkRcllAsjLiZbYIQBbSQ8LmvS6WvFUi/PPvMWA6a0OFpmmkWOcliWlmsi4AwcfyShgztYAVcgUvC5oSdH3NYqtowGP8BqMI5fJ8q6ScXqvTSuporqowk7VsbEZPU7wpBjYBipmVLfwjuwSs4EXMbkpzpVUAelfj/x0lUvTLoDx7Sl/ve5Uukzs+lZ8GEUghO1phfU9OFKktbv2LZKQJEEtJ68/hiS28Cl4+E/Oa4o1PJpgZgPKHR9FpARdgcSdaBSxmM6SLmbHUtBhLWs0rm633w9tIjeAbkpcmmGY+55SKVp4ZLDgSlSLlDdcWe2NU28KG5D2JvSZb0vq/N2K2UVnfU7wnppnMLU0SRY8i7be15GfHyz+3lONa2tTS8ZLyTIjJfdlLfAomMbn9HzwYBa+e4n2mmlbO+0uXmNzd6kyo4ZlHi8DcU7xvSnt2b9L96/yX/1Wf2qC2tK19s3hfZmbQi9TLW5+7TWpImb+ASHd9mp8y7jK5X/7fywLKjgVNrf4g6pe3vfQHXb/0S7/0S7/0y1+qVNX/AHnkkGJhCDvhAAAAAElFTkSuQmCC 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 Electron iVBORw0KGgoAAAANSUhEUgAAAGIAAABiCAYAAACrpQYOAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAD+/SURBVHhejZ35kyxXVt9PZtbe++t+q562p5E0mn1hFhhjHPYEEzYGYwbCBDjssMEOwmH/4HD4d/0Z/tW/eQsg8BKMgbHBYDMMzIyYTTPSjKQnvf313l17VfrzPTdPdXapBdTT6Xsz6+a955zv2W5WVin73NBKq17ZEuW1triAGlCz1raWqAO1l6gL6byo3o+x3oejxpzOzKyE1Fp17NyKdLzgnNcy40FilDajLaER/SGnRpDaoMEFfY1ZpnGNJjWaQmIv2jrbwep7sa5XXr9IpInea9L6uVgg+vVFRHrFOb2knwBQJPACwAAxACk0AdKVNUkzJM/Ur2viPcjH1s/pOhjPYLbF3FojjCUMSVTnTySe9Qo56vJFf1kXdaqfC71epFNRXh8Qgy7qiyp5Fq1IY+oLqh9M63WRkdZBkDIWngA1mEQKdxBqCi1FlVlmmGsWfY1Rv3ZO4zQ+AFxcz7Esrw1z8katuwxIHYQ6hUyiZXnVhj7q+olWtDxm+XgBRP2N6NcnumhStcv9AEJt9ONVB0TC1r1BSvFwxEJSWFYt5gqtU6XkAKUEgEVfbTUmaAGI5qvmltAtGNOawUOAIN7qAOhVB0AUsobsy6TzLHPhe+9Fi9AUJzTBRVS/6KKxOo65RMtAhGB1IAIMAVFoIJOUtcndmjU5razdLX5J0YtgXju/8JK4Puao+lojg7lYu+4Jwd8ZCNlCFtF76SuO6xTviYKV+vt1feX1wTGw3q8fB9XliwljbEwcIATpFWBI4OXwJCt1T6jIrV7K02JV3y1eIaiiCEeLftW6l1TXLYcmeYZaMS8PDCDqHhGvxLv+nQdhWV61mrJayknHcT7GVsteSB6a6idikuiHYdVpeVxQLBgUTIc16RVeERYoIJSclUh1kXtETMgiEXbqpHNS9kLp6lPqeHvB2HcxyxpaT+GgiZbrIISxhPLrAIRcQfUp60uofxHVx9dJcy08oj5YbcgS5+N4+XzQ8hzB+AyxJEyyrjNBJbQrgJMOQk3a8Iw6Mwsv0OJqK+Wfayuqe0kwu/C00GK1Xs76bgzQ+ZCUSPzHcLV1GSvWLjxWW++rXSZdoznV5nEiJrqIYtK6bBeRxtYnTwKU54AQ6SWBwys0IPYL9aRaX3wRmlB6JsVXyld/EZqq8+4lFUPvCk0i1hEgJetmMBQgBHPBZ/KG0kEIeepsVVN7v2JhQTpXH/OXkQMRpEXqE9QXiPP1c3Wqvy+K+cR8kAQ6BwR/FgrQm1JODK4ztrRoWYEQfT+uAKiP8/frzEDLHiEgxIPzAT9nACxYikvfJWN9qeX3gi56r8bOou+hqS6vSBfXZD13HO/Xz1/0Xiw4RjqtEbKHd+jlCuBAFYzeiDyhC9xya4x5aKovFv1lqsb5+GBC16sVI0vMaH33yuoVQJwBkLkMy7JdxEK8H/Re7+v6YC1YyuOkE1yMRdVx/SJN1IdOa6TjWCTei8XiWs0VCy7kZw0JrJfHZCR3S+XNxf6BC7zyYRIp1BN0xUgWC9O60ismvOVchCYfL0aYx+eqM1EBIUYymBAf4qsOQvA+YlDII9LywUKQjkMnQfVrRDGfdFw/r3EOhN6YQNOSxATN5iTYiqbQxImLGBOLLAMiCobqDOpWViwYehBJ4MWLef2ElBNaCE1w4UKhacIUgqqFSlqRjushS+8tkjvzePKPxQMESKFJL8T200tLO/+1Kc/JWddBnfS+67TSX+hTrcj1TFsHJM84IbI5gaKE1NZpFv2CcaKcSXMmyawPHTOJ6AQSE2pFiWHGQGpjQQkYupDw/kfKEHHSkzYDosoJjXioCW0EhTZCOzWqg+AUGl4CQutWSy+AGFX8puUS/7FUyBd9l50JhsgxqXSWoTPpKvpnOqwR40P3Gf285GTpF6ULU1sniswZRFvOOJ6mViSUHRAYFUOHFWNnTJaVjkrXT103rg8EmC9MMpHnCwHCAA8nFRAeakLJoXjaCEfniHOL0FQt6FWYFg0ARLxkB74kawfuYxgJzDXdQuGQZFP/qOoLgBlUhrKlI/RVSmdqpb9lneo2MK30Lv2jBPKlvCA8QZPEYJ9wuV+BUVEsNoOJAZPJMoJJUYARAkgwBwPhAwwpQcqQcySNQHpDFJqRMgNFKbmm/AhLAcBikaCk2ZR7wux9UahyxjNPSJfEdOL7xPkvz8nlIHDhGLmTUVYKl5FWhnqmM5H0FH2dl66lc/qAIjCIMxUIdYpBrui4GJoSmnyBBm0CIZvofDqecq3A2EPCQ/eSDKZTPwmVJSuCwv21YdJ/epVcq9peipLiYk+hgdmQQaHkGhDvogAAWlRNMU+AINJLQEDKj84TWVtTn/JGMiJ5eZJBtM/7BxqH0c3Rg+tAskPSTSg/6YZ+6G1BoePqvdA3YABEnKzIJ0hKThdHP1E5Yx86bTryNqmOdV6WwPk57RBB92F4FxLjsqAUts68o09fQo8JTe4R8CPF8J+HJw9NoUCUWapSCBBqQHiYCor3RIz10KTroUVVJrDpeqUETaHFlFhCMpgzyxffkmVPx/A1QyeSMQsduNxqpYdEESnOqNJp3TM8PJ0Bs+QR1aAYHP13TQzFwmJiorbpzNm0BWNNG8O0mN9D7H2nJJSEk6U5GGhEulIh70DwkpL8j6wW5dUTtpPAqCl/EZpck1Xr5g0thSXPPxUQ2sToU7spbUx5DChJ+aUbkHgW7zKoQ0DyMFST8UwHotBJTUdO0mPVLvosGlHH9a4cEQD4QA3Qm3Fcm7BC/4yCgTMK5txaJi3PHfuY+2PsXKDs0ooSIHJ39CWzZLockmcoPC2AUChZeAXVRQARVFd+nRiXVYkola30mc/n5qV1BEQOuxJZHhA8JU9O/Irvxww+4drcZeKCc0ZXO66MMoWpGtUBCR2HfqX76ny+GLB4s2rrE3m/WliLViTLMBSeqI3QWIozy/G4ZXNoysK7KOCRC4aQ9CWkLO6A/jGxQtP7nTdaWWl4R3hFAoPBAcSy4uueUFGpIr3yBJVEfl+JrnB3b2C9EhrQD14OKusXn4kIVZx3w0KWJGeSr0ReP670IMNTf+EporoBLwMiPdeItE+nKqcWuaF+YX0iTe5MJIu3cToOQMoxzEHeOjBtwOh4TN1FEQ8Q7BGKFyi79GV9UoJCgpaQchSm3GL1QgkLMJbD0zIYQTFG45UbBISUSaM/KhDrIMgTxIOMI4zlIRc84JpjjEgySJ4z2Trensld9c8Rk9cBqevQ80hN396qapKrOHHCPUGtLqjamGwxudyvBYM6Vy28sBYRACyYVr9D0uzYjGsfoeF7aOM+wt6X26OYPc7tIfSApTIul1fIY5PmUBjve2wnvPheoA5GABL9cyBw3YxJiL+aQ/PRdbk9JEGHHKvCEwgPcRXxFLwdw4TLAe+GDAIkjGshcwDi8ksftZDlyq8Wcn0G1fWLoJ4aHAhOROlVTyox4QIMLSaSgsM1oUrpNoJJSG2yHpjXscZyXI67NuP6hyjlHYS9Bz3wtnQrHLNM0UVJ/gQBLSwojJRKkgJCOy4841zyDgBqIPjNPQ9JjPcdI4QX5sibMa/A1jr6wPqYc/eYX8qXt96hvQMIhyrTKwA8JI0gl5FzlYwLuUXIFUCdN0rpTTqVHqMvPYeOK0LHJGve9Ddow30ChDpViCeqFq2AEcOJaTGaSF5QjrpWDrtJKNr5sGMTrr8LGG8j+D0UfQc93YNOmHZeKahkWoUO/+SIMSo5Y8e9CFMBRp0CBAcC4jp/MUd8Jlsyvx7hEKvyyLtan1MC4W1A2VM4kuGId8i87bkcIZdfrNb7SRceqqGUK0QsuKDQaaXj0PMiNBVE5H+19bKV1YnwiupNDfZqwC/SfaagVB140ub9bIZFqK/3lG90na5nXD7nvM7xkj70CbAs/biYW5O2ByiIY2t5ZhsopYFCdVPP76oqCZ8SYiDriziu54JQvEDSS1YPu/54RofrVrhmDVqHNhm2wXnaKXSfMd/l8HXi1Q9g6FXoAfLnsnYpHWVnACDyfmV4LqcrmgigEO3yJ6XqPlxGElrcu3N90Co0yijcxTl2TUBq9OL9wv7l9suh9ARAmtSPBYy3UMWAGMonXcvHK1aMexB9rCafiFksomLMKw1njHWcNDeCQn5/qZjZUS4wMluFoS6npLNL8NlGwfNq55cBQKn7CeqnneBZKPLSFBIQEkp4A0SGzjL0V2pi0M0qEJqXoSvsDVbNvsc632P4d1n/m7S3UV5DFj/gzSEkb6jCTgpFHWROAOWA04By5JfsBbLnAONWX+nPDVFMOQgiAVADof6SOuxfXH7ZLbwCIikxKT/QlvIbKL4Bg83hmrUGG9YcrFtrCPU3aEXrvMfxYM2a41VnWrX3lEULGPFbI4ChtMSR3yjLAOOgOfeHvXok1k2WvYHcKyh3CBDyiALrD1Byjn0DJ4+pewQvlbzKAQprmSZEl/M1rgGE7BLDoOZVPO6a2TuA9Aqh69vw8A3Yeh0gGwNOwvt8uGLZUAomHAGAPKLoI9fpJaf2SdX2N5P86EPyun6QuYGRusFKp658vZBVniJAdCTZ+SeA4h9AXHnZQahIEyQQaEG5YJHmAgApeusMCNrWAIb6nIOxNu+1daz3YbIhBicIJLeGkZItLn9tDsAFoJQE/kFjasO89MdatuFb1AYUhaYcbxCVJxwrNCkkySto4xM3zx16VUB4nFuBCEfZJtdf4rod5sAbpnjDIcC8hvK/ihX+Cd7wfVpT7jpdZ6117+cqMAClcbxj7eOr1j26Zh2oe3TFuqeXrXO6bU3JLPlHjBMI8hJkLQCiAIi80mVG2JfiFQXgwvWgl5TvoQryAGG/dg2PgDMHomo1Ae4mD0jKx9pd0VI8FoCypfQEwibvVWOgBoC55+DiDUhta7TKRocNnphgLckO0jBAmIKh48bEtzI9lNqFtskXO4SKeb+0MSAUtApLcwEjEPCIUjvnRX6gLxDkDT36eIIRigTCdBvgAaB3g/7VzL7XzuyrAC0Q/pxhfXnCyQaKJx8MQPCUC7H45uFVW9l70lb3blj7QGBcthbeID0kQ0QPyNlANgfCQQBEGRmkUCUgBEgyQqQWpWQhjhcv9Qv75zfwCAGQkrLCkXKAhxpXfNU6A5X1n8ryoeiL3CtqbXgG1MBqmk4rzqg/2SFTFgdyT/qj5oTSv1REsWdQ6GVYUhiaHafwJE8oFa7UjxwhIJJcqSrCGzJNgGErKWcAIE8whaQn0feO2dcY+3tc8wrtrnLCMSDIE/or9Lesc3DdVh89Y2uPbtnK/lPW23/CeofXrXt8xToneMPJNvIRnmSA8noHovIEz58QxYsXKe4RKWE78W9OXnTPENPuJXopNAFEeIHAUGxPsV7KV9wXGAJAxzCKWyYwNhyArjOHyzpdtR6u3Du9yjiO+7w3xI2Zo+0WhPXJbWUtMDgpJtT3aJOkPi5K6zdH1sNpLhWZV1GrbMraA9j2hI0YCk/KEZzLxvSJ825oehxESRpvKAUEIBhKL6/l1rheWnGTkHQ9s+90M/u/CP1H0Bsk4hmKL09X8TgKj/0btgIAPWj94S3bePQcHgEgB6KnAQNAjm4gH2HqlJCFIUqu5niN8N0BhCRXY0puBARFl9xBUAu/qqIq5QsMBnFcvThd2K/epGoCBBKrQEgJWF4gxQkAwpAAkBWg+CaAtHHd7nEVKwGkgTCNvogk14eRPi7axzLoF1ADQRsKccNLAIN748oKUXM0Oc3xD5hS7hhS0g7wDDnLNRR8vVlakx319AhelawHFL9VsvaKSXsFvRSWFrmBsYCQE4Zm8gY8IXuG/QIl2f9ic/c/Ucr3kHV8sm7ZMYNPNq3YvW4rKH/z3gds696HAOIF6z5+0jp7VwlL29Y4XLfiBG8+RbYBsg2RzXMJ4RtA5RGNCWBiZFEZFoCRgACEKi+4xr0p2VRjgG5F6VRhv/I0OQK3YdJUBaRYr5CiXJCAgLxSAAziZBcfFwhScIl1TgcTGw8HNqLUGY6OoAP6xzYandp0NPIxArbbJ9b2dxZlb5MEpxA1akm7shJ2tc2xjckfl1HuEy28QqcBwUMS8yz2ELqjKiAkiDYkqpQUkrYQnJBk16EnOA8IJ+SHP+f9/8Fcf4SsfQxtfrgFEBjR7k27dPsjduntj9r6/fcDxAds9eGzeMiazY7mNjkZ2qh/ijxHyINs42MbT/o2nSDXhDzHzlj5oTXBs2aU8ESXXLkBMCIkKQApL3scVQsAKlTmBTWlQhWAFfZPAAIkC1zM80FVniocKc5L+Q6APIEwtHJyzT1gNpjZZDC2yfAUxR/aYHBgg+E+/X0bOB3YGMbHoxObjAds0qYQVooStcZq/wlrjbfQP+EExU8ISzABFuxuO2M7xbiuwPgtJND+Yg4Ac1VPtLrF7Q8XcK3CUto30G4wUCGJnFASjprPY51PlvZ99hP/uZnbl9DBQZ9MfkRCPtyxFgoXCDtv/qjt3P6U9e7dtPlewyYHExsdH9tp/zHJfM+GyCV5hmMMbAIQY2SaDGyGMOUMdDFu3YYpZm1rTfGeOYUJioYj/skbBECAMCcCKDwBhkeD5NYA8ezLXuWQdKQgT8yeF1IO8PxwCiB4QZfYWJz2UP5ooezBEAZlLXjDCFBGAzxhgGdAA/qDwZH1feyenU4e2XBySJjqEqJ2sKRV68jzRhs2bo1s3Dz06qLdmtlbjQEb5Mxu4RVXSdzyChMQlK3+yZtyhF6Sk120V0rgml1jzA36N7HG58wekxt+u5HZf5jmtkdZOtsnXu1essajZ+3K6z9u1177nK3fecHaD67a7NHcDo5u297JG3Z4fNeOTx/Y6Sm895ENecajgU3HQ5tNxjabTgCCFjCmJa0/05lbc0YoLglbWLkAkOUnDwAIKd77KJ89lEKyA4FnFPk/ev5l7RW8LA0glJgFgrzBk/K2J+SC2K/Q08dCXOkAMBgewmRq3Su8D/Pe55zeZ9xwBECEqynCjCYIhWXJslujy9Ybk9yJseNiRBl/SO2QNghHraF18IwnEWgDfv350CECAUQ5qyoO5Qdty3X7Am/IrtJ/mvbZ0o4JSf9nrbT/SMj7Zr9po8NtKw/IUXeftxvf/xtOvdvP2ew+TrJ313aPAODojp0cPbCTU7zhdA8QkkwjQtIEvieToU2mgDETTW02n9h8roIDzy5nBNgpQLSsOSdh4c2udDEqD6BfkgdLQCCmOQgz9lEl+aIofvkDL6usTKWmQtO6J2cvV6EOG5g2npAP2q78wVjhB8ViJfKEMcqVV5wOdl35YxieT05RFBkVyrCaHIaz6djK8cRzxsn4sR0PH9lkhGYRoD1dtfXTp60127Jh+4C6gZq1hSLbeB6CXUPZt1Yy68xyT9wF3pB77EU+PMZWsH4qpfwKoe8alvgsXvH+3L4PMP+J+b8MrqfI0Hh8xRp3n7Xr3/9Je/Jbf9s6t6/Y6e6B7T582x7svmp7Rz8gJB0RBgmlY1xwCuJz8cgxlj+X9QPCiBwxpp3PmNjvDidiIAqGPCC1sBE8I6MoQdHKB8kDaKV8xs1p5zI6XkXzFz/8sm9MqJBS2QoYAkKhSRs1BGgSV6ckY4WY0RAmFHboD90LDomj+54rpOyinPrXonoois0+rKBoFmpwPsd95yWxFSGmQ5IyAk0mR7j7hLJvyy6Nn8EzNu2wfWiT1V1n+BA3yLsTex+TPCGO4Xs+xhu0h8DNCceUrBxv017jPZJzm5B0wOD/hqf8+ii3O0eXyAnQnVt2AwBuffvvWHF7xx49eNseP3rV9vffstOjRzbHa7NZ3xrzobXhV4WYwiM1kpNu1ZQYRjnH8qdTm2Bk7g2cVQWojFBQR/suGvtoooE8I1/k2rAyFk8QIHPK9nlD3oFx0lfOKFr/4OMAQYL2JK3SFU8gTKVKCSuiLJ0PqWyogLxqkAfIVb1/SELbp4I4sSbZqsPqYl4FjMK2E0x2YKyTSRjep09RC5OIhNCjQR+PYm47dhC2Ri9aI1uxYeuxjdsoZmVk98gXmudWO7crlOjKETN98IPxZ+yUs3USBUDMCUXd53MbPWv2ZRb/9+joG6rQ9q9Y861bdvXVn7Rnvvlz1vjBJbv36Ft2/9F37Hj3Lo67ax0sfw0eV7Fw3bTt0Xcg6LeQS/tFUg2cQxgaXXID1SLGJ6/I9YGHzjJW/Qzm8ozqKad6KvBegdDAq+QZ8ohGAmHmQBCaOr/wyZe18/WbV9qgyBMcEO2ScWXygkBQOJrgDaqQRKO+ADl0EBQdZP1iWuFaSmtjIwmU3NhdIFiBgE1bKXFYhGwxJseKZljelBCguU6mJ9bNtuz65AU8vGfHq/dssrLHxm9sb7XHttkr7HlcegXvn6tKwZJyUM/JD/PLWNVT6OGpzL5KSPp3RWFf7lMWkhPKe0/Zzre+YC+88vPWfnPb3rj7Dbt7/xUbHz1kI9aHt4lt4cGb8IgGyPtNPLqAf3KYAHBe54BQ0k91kCxeHoAEGJTKJpSPwnXzsUDOPGckqDWzjjVhssQDZhjUnH2SwpG8Qblwpvv+5I6i88VPkyN0TwgWfB9RJWvPE0g4yL12Ho6VlKkelHQrbxjTb6IYAhuKl/XI2mVJWCYcdeGWOgVLgogpCk253/ibuoVRfXON4j3C4FHHyjOzQ1uZXmVOYgwbull7z0arp9ZfgZjnBoJeY7E2VqeoPAP9Eo/I2TeUz+T2g53M/gsK+A2QynVP451btvPqj9v1b/+sdV990t5+++t2++GfsKs+ZI0p2465bRPf5AVN+GsCSgNLL9Q67yWGRjUE1/4PfhmK8gQOC8EEmY+QyzHgFwVegCcIlJx+K2czm2Oang/wCPZJUv4cj1B/rrKdpF10f+6zHpoiP6S9hPYPm56gJ6Nh2sSoPEXxStBDryJOqJenyRPgy0MQ/USKraqjyQWEnEnG+BLgjHyQnfBOH+VP8Ay8BDCSq5PIAOTw5MhOy1PbzK/Y5vxp63cHdrJxx2ZUUCdYUdad2k0WvNJAcKjEI3AiytbSyMX2JfYTv0EeeYu8MN69Yr0ffsJufuPv29arL9idd75tb9z5qmVUQlsojsuMQhYQiNclHp9RKNCOM3gtT4ABCyZoijcB0UDxAsGBqP7KGNwgmA+NuifkRRNAmtYoWlUfYIhr85ZAIMmj/FlF6itcFb2f/TE8ogLCwVCuUMWEN5DoRlQP2pR5jkD5KkNTSFLcVszH6rEqxX95AKkKIgai7JFR+kFDaCThAMTBMHbcWR9Bh+7uTVmcW2TLplQWJ1Rm+mB9XfcnWh0brzy00cpjm+IVhwCyzdgrbNDWexRM/mlSZntUTV8jRv4m6vhDfW68v23dt563re/8Ldv+9qft9Ae79sb9P8YTHtuVvO2esIotN9khjspHbNpZo6QAAYyRg3LKu6rZUBRerDSNimlTLsiQlajPWQFSyCdsKi/MAaCJcRVtCCCawNfguEFWbBKemn2UT+nLvmlGO29SkQmIlZ/9a+wjer6LTrd1V6zTZ9eJZ8xH7HjZFScQ8ApP2IBCX8V8hyrCgeBIXuCxHwFl8VL8UMpH8RO8YFziGe4d9AFiwpixC9p3MFpsj7EdF3NEKXgC0I2iY5fZlTWbK3Zw6bYVa49sX/ejiK1dkNuiPGvgEUcs/gpM/Bb7hd8ftqx/smbl42u2/Z0v2NOv/JTNfmj25t2v24C9wiWFItbr4X16xO00u2PH5X3CHiEQEBKfGEmGkmRQ8hZUju+58hvEfy810P+M8CQvUH+MAU3hW0pvNgABxRe0LaghAhh9XjJtY4SQQtW0xTot3UTTvbY5cW5OtJvp0zhUAqUPNrBttu8zamVtWpx8JzkhPGL1rK69lKqI+Iqs4r5sY4KiVQVNTEonp5hAkXdgcVDfHjPiMX32E3YPdRB6OF8wfgUFbSPsfLxnjw9eJ8Y37dKbn7Gttz5ps/s3bc4G8yuw/buEta/Aw1dRzle58g9Ilr9H+3DascnejnXefr9tv/k5W3vrOTt6+MCO+2/YKorbgtMWnAiEvj3AV+/QsuOHlxPage06j+7F8D12wgh5lx0QcIwEg8ua5FWukA6SPuba5FFJaY8xd53RKpnPeH8GGDNSP96ePjjianSvu7W5DtLHmLibbtnGPXQG6P7JjFhekgtK3G5GK0Ay4qFqajFA4SKbgCH1VQWx6ZGls1+YlrJ6Qhvx1ikDFNx+hBIUtoYKBeWB9cs98sJ9j889VLQBkx2YPzm6b48O37T549y27rxkvcfPWjagHBi17TXq+D+Fj69hhX8Go6/A3z32F60RG6mjHdu6+0Hr3b9uRwePAJQ5KDTWkWedqq2gVB2g9NPyoa/viocXea94U5uUL37ZTSPHmUz6tgfJHLlFoYOkDwIYe4y028aL1Ed/c3kfG0sZvH9YpLvdqrKke4Hh1+qP7ovQ6k3dNWQl3tQftUqidBA4Ta67hSlVORMirFLtHDeeZlgDjM6pOtSfIdosEylxDwlNbOgqkEbkjCmxWHSKxyguNxjVJvyompqO+rY7fMPGpwfW3btu2fE1K1VA9Lu2N2naayz6Jsy8jibegqPZsGfjPmUCG9D2wVPWOGjb/vAtdvEPqIIoqWG6BY8gaQOKB60/wx9GMhBCpisbmjivMijxjQwuB3Ih0wySfEi7kFuUMb/yCApCPiV/9IbOFvpzXTLGPUC+I8OvdE+fqJr+6ZXunTNddZE6ahcT6R8TqwcP6RpaddOhRihHKIlFbNWR0loQaY3kV2/JRFAlLKSCsEG+yVDweE5yG88pJPRAwgpunR7/72Mwelh4H1J7AN+zaYMwgEdPyTdUgsWoWd0XGjOflAY3oVhXrgxGhYUIzw++nBK/Z3KELOlfyJ1AqOnA9SXl60CHle4q/enl+vbume41z7lXGqrJq6ljlXj5+TSxt4s/8YrJEy3+VSBLHW5HUrQf187rXApyiCqB6GlXxHDdFjB2oLI8zMrre5XNKhRSK+NIpHs6ur+jG2y55oSS+YgjwoFCb8WHVvZooEXER/CFnPEvZBFFL0RWG5ReMaJ6RZc2Xa2xjK4N0SvXbVkhrJffokWIwEC8OSs6QT+EkhP6eBF/FkIS2gpisDY6uWJxmarvnFa7zUJ7BhFlaqOkkvCbHR3ajrXLFRKebo60CIFs/xQCuWa1cdma3a4N1/Zs3qWspRZvdEa2DjBPsvgNVr5Jew3ei/bQGryfUZWM1x5Q7o5tpUXibq6ze5edy9vhibVbZY9kS74ptX66dV0AqXgrMogEqupIvEuWJEeSS32BRuRJsrsi9B96QVdJT1Wffw5qRSiJS5PGwsPUB4hkPWkA7qivwBMSdI3mlUXqvknGTrZgs1LkJBfe9NzDkERyXL0a/EOYiqRgCdkkBTdccO2lKZEzlE7bpYZplexdbIMjFG5rJM1MHzvYkKDZWd20qysvWGtjzY6vvGnTrduW9YZsyft2nfL1w4x9CfA/BL0ITz0AKnrsVFf27fTyazbeObFLK8/a1upTuA1lLRxSOMJvC052rFtuOx8d1u9kGxiC+GKLSdvI4Fl8O/8Axagkk27/uf9VwarSQaUPNhKuJ7/HhAy+y64AcB2zi5a+PZ+455LIpWdtr4HfB+jGlN+cAgwNzgscOcc62KRkTKxWO8aSBSYA6IwwyYyZdA9SrZ7ydYVL2ZAU387WoY1ECN0ttxBtm+Mt6+XbtpZdtQ47aX3W2cfz9lh/UvRsc+NpW72yYcMb79juM1+z02tv2Kx7YlfZAH0aHj7L2M9QuqgVfaTIfbdabj2y3ae+ZYdPfsvya2O7tH0Tr7riT3+zd2bTSA7Jtilnr7H2FUCAF/bY3fwS6t6Cr80EDvyId8nhANEWWReFq0j3ihT5k1HqCRTpQwCkHTXe44aLR9EqTC5uh/tdWEYDhPQvByi6P/eZl9NDUaA+7ljTHwvRh+GEiQmok+im2j/oEynKvik18lgfE1KisQSMwQUMpKirl3agOhLmshs5pzZq8hbmB6Q2lu+CAshaeY0zV3DzFWqqDsk3tz1EWlt7ym5e/5jNXji1ex/+bdt/8Q+sfeMtW10/tJ9CiJ8mIX4MG3qS3L41K/3j1BbnHiLY/QaCsfZ0Qngb4m2nepamsIPBA5vMRtae47GEjyZhpo1JeOiEs2YVpuQBC+VD8po2oAgYbV0n8OhfxkT5/sV25vLtH5Gj1WZD3MHLW1RurVU/FhVt6sEuG9nugRvTpKP+sc06VGutgW76fcqByNkI6QGpBqTncwSMHhGJTZ02KFJ+gOKbFIKjlK8E6apHGQJAim8qJ+g2MH3F3IbuQiJcO4NBF+oSFnnVetAEKzvG+w4R6LHC4uqWPXvjR+zS09ft/ge/ag8+8t9t8sQPzDYO7UdWB/YL5O8fxXU2dxn7GKM6zdIzZe3cDqEfAuQx1dOUMnVCu3n8om0Nb1p/emz7p/s2w4uU6RR2u/DT8VCk3JAMJYGAEkXiF0+W4eg+8oRrBIL/PoeAUMvaAqNgm99pMx4g2mrbAgIQASLvMLbHJrd7CLGn6hwBxrFNAWImINq/8MmXixlM+FNqAgAgKtIjIjlguCfMR/5hiG/uEFTgyLpk9w2Y81cFRHiB9rDyAllVK5NgMEdOaODuBcIV5QbCNP2LggcIsq8E3Vu3p69+1q48/YIdv/Q9e/zBL9nB+75hrWv37Jnekf08QH0eya88xA7eRgFqjzJr4uWrHbyCEuoxYfMHDeIwOVVfytfjO6vj99nq6KYNxyd2NNxjk4a/alMFp7pVrVuVKhza8ClDScayAc+EJgBJntBA8fKG0vRt4ylX6IFD3RUukaPdAdQOoMkbOsgMdVvkwXaPQmMEEOyVkGGMJ0yd8Ax5RXNoResXP/qynkwr9JyryMHAmv1hKWrxKUDow3EAyAgBc98pEusoGSaEKbZw5CC4gTn/gFwxk/6UfolydRswy5iTZK17rRlJUPdpFdiOUeoe1x9yzUDj1rfsqSc+abdufNxOn7tvb3701+2IkFRcecfmxP2f7jbsl4el3XoA/LdR4V2MYI8lTzgmROlzkSutwvRx8XcB5Ag+h2zARo0Ty0aX7Eb/Q6h0207KU+v3+77xGrF30O5FNyvkEY0qURdYv8CRghVy/Dc55AHwKg+QN8gMB4TDKXI2myR9jKjdpQhpkws7GJ6AaGN4nRYAsFPv7XormsojBAZeoRt/ReOXPpQ8Yoby9aggAOg+SACjLXjKSor4JBkHAcuFGSl/TJiaIAwcoxGSJZYmsVRFKaFpDypyAVzhui9LZUS7zzsnADBrYIVb2/bE5Y+TFz5hk/c9src/9Jv26P3/y7KnfmiTjcf2eeL+P8XyPnWIyn4I0G8QkvCGTECcwp60w8JrvdK2CeX6/vZ3y5GNmiibUlc75uZ83S5NXrLe9DJha2BDPH1IkB8ChX/BCItX0nV+4VE/BSHr1+NUml5bzXjac4Ssun8suQRCr0uCr0JSt6uwRB/PaHbZ6XfJq3jDuLeHNyQA5BkCYaLQ1AaI4h++BBC6AaUbfSLiulrdc5qRZGfEzVkPRQMD3iCFwyuVgsouOKQ/nQkgnaPPm7qXWGJFKtLEvLsv1gf+doyFyhNOsLlpgQUiwOrGE3b12oft5rUXbfbUvr32kd+y+x/6bZuRnGeb+/bxtWP7Z4SZzx9RQCoc/QBveIdJH6A8gNAjmUzr9fy8ldsG8fhyL7eDTmbfg88JIWjSPrbD5pG1Rlt2ZXLL2sU2asST4EthaoAAQxK93xN2T9EnEQI0d1AmCkO0A84PkVsJW57QaK4kEFB+B0/otbesiScoP3Tbm5Z3CxuvAMIKIMgrBESPPOFeIVKyJjRl//h5fxo8JwT5DSltWqq7rzqvp9ea866/J0HpAIDia8oFDco07THkCVMESJ6AVTEm3bCQOyuuogzFWMKUPGPe7Fhv9YZd2nnGLl99zra3n7HJM7t2+8P/1R68+Ds2ffIts+2HdrNzYF9k+/wzrL1zF1C/S5K9jTfcQ/FK1PqyNhsE9M0KrC2LYPzmJQoI7OcOIfUdyuFpE8XhBaPmAT64ZhujW5TOm8TmJhO1qH4IY3jIjI2cPlGZwGNKyPIClA+pLzD8ywX69A1lr/Qoe8kLLTygqxxBaJI3CJRWp+O5YaSPe9nbKDdMqjwxaQOAPAJgVHIXmZ70021YgYDipfDC+wJFd2IREnCac23K9DmcEpNsXvUxSdk3MPT1KRT1sqjk3NStRvsNQMI75g2AxnpaMN1d37aNjeu2s3kLIG7ZyrVNFH/X3n7p9+zuB37H5jd+SE26j6fs2k9g1V+kDH3xMRXSG6iasJTrC2/kiUxfij6GPzInevSXNlH6nlzRzWylndkQerM1s33kUKWk56b6zb61Zl1bLS+zh7hi7ZxNZhN5WxQXRdfzgoAQ/37nSzIgU6n9AZVRo6USdQ1PYD/URen0u53NlBe6Pda95P1ZD+BXHiePcC8QCKqaCEvtqmoiYc9VNdmvPJW+MaQKQvdgCEfxzKY+q3DrhxmBEjtM7aAzlYB63FGbFjZ5zQbVUZPST4x6C3DEzoZqaZhrwXB7dd1WNi7ZztrzdnXzJVu7sm3F5bn1b75jd1763/bw+S/b5Opb1tx5bNnGQ/toc2q/1Cztx/ql9d7AHKlgc7yiFJEf2J1ZmT6j8oTkfOINqpaQzFaoadc2SoqB0l7TT4SRZ6YKU40jG5As9cBPZ06V09iw9cYNWyl22I9WQOKxIpelueb7go4snTDU67ARBYSOZELhXi3hCSk0AUJ3xUp2+MOVXRutKkEfphwBIJ4fFjnilPzQBwh9OParT74M28754sFZSeGhB+H9BhmhRNtyLKM5X8WNsG4sT21THwnq0yispWi2cNE2THedQVnLSm/LVla3bXP1OnTT1tav2Tq0srVl02uHdvD0N+3Rc/8P+opNrqFpckKON2yvTuyLcPUzxIMb+6z/JkSCNkDI9H3cXXgjLPkXV/T4pTapYreJInUrSKXsRm5bJO+ikdvtVsNeo0xU6NVd1iEKmOAZet62QQzTfqadU+FQ//YoOVda7LJdwYQcWb1Cjls+rYcflag6RvkA0+K8gFJumPWGNlh9aONVhSTKVQHgyVqJWh6hXKHQlLwho9ROj+Vrq02mTSBIGnkEAvkRx/yHBAxJt0IUjppswlo5ZV71eWzRbGM55BOBwAZGDEkIWc5Kb8fWVwCAnNDdWLPZ5WM7vf6mHT7xXXt06yu2++yf2mTnbcs3DqzY2rVNLOXvFnP7e1jyc4co8k3YI2VklKv6Lm72CNJvNuiLKypjpvIF+trO4Kn+UDIhrWxxbZcdAJ6RUz3p5yfuUkHpppz8fEx4GKEM9/oCl2rPrVuw2y+usxfYcFm0B4jdcVh/2i+kkKR9g5KyZM665MmVE/eCkYNAXsAbRh6WBMCh7x88JFE8CAiqB/fk9EUV6V4mJWFwWPjyN1UVpYdnlaCFz9SfQhDTuR4XwdJEBWGp3SBuNmGuSQWBRXWpHsRku0doWqUMXmeuS0MU/tiOr79uuzdfsf2bX7fjJ1616c47lq3t23z90Horx/YjgP4zsPNpyuaVhyRHhSSqJZWrpb4lr9+O0O9GIIeHJVUIegmIBhLgDXrwjAKQEGHW2wAMkvURNep9AD6A5PE5ckyoWGbNU3+YTU9ZFA0iAJUXOzr38Dbhtd0iHDVJysgkb3HFA0KzQ/jtEKbxurJHibp6aIM1PIGQ5AkZTxi5J1S5wfcOaRMnEErWphpCMN2S+bXrL6f771gdCqi/0r19iFahSQD4zauGqpCBP4mgJxNywkHORqpBBdJok/DYwOQ9Ki49LLQ+tskW7rn1wE4v/9D2r33Xjq5+z46vvWZHN75vs+27Vq4eA8SRtdcOPC98Hj18BlO4icLb78DXXfhLPw+gH/Hw3JApN8gbVPTLhljKPUKhCSV6KiNhF1hpk5a9JIrWXV123shyjOf4T+hRbo31gb6eMWpQ4XgSPWQOEKYMLlB0UzK5XGxyka3ocJ3+byO9ic1WBij80Iarj6vqSPkAkjcoJHEcCdo3dWodBGIqOUvfrE2h6deuVjkivXRbVsp3D/DAq2P2CWoFBCDo4Sg9Z6Stue6TKOnI5RQDvULALUfrj2248cAGm/fsdPuO9bfftpOdNwDhdafhzm3fLWd4gEHN9SN7ojWxz8HDF1DmB/W1LQCYuSfAjLzBQ1ICwb85hK60l5TTevjEA0hb6ZMiPCLXN4ho5xx38Yq1VWGX2X3G7yM8S6QyHOOaAsIEz9ATForbkmvSlVyyYCkRZUq2KumOV6XofZQvQt5QvHJAjFPfWyk/laoCQfOzW04EHx5x7JWPlOnLjCQx/ZoAFVT6GhduNySsVI/Y6Et7Tc7lY5KzvkU5JT9MCDkaq0prjql5gRi31PEawtiMikDCDNaIm+uPbAZIw7XHeAvm3uX9Lvvs9X27Rv/T7AH+Jor5AlO9wNuj11Hc66W13kJj7B3md6jUBIh+vEP3tPXLW8jhWVpPPpMLskt4xGX61/CGp3AYSA8mr79ANLtZ2h9SFX0J+/pDRP4WoW92vEmIW7e5vo7VXwPkbWuebPtXe3tHehJ+wwrJr3txvtdif6WKUi9ypr4Pl57iG6coAZhunBhqenQGIGl9By0QADyrQJBhyyMSEN/8ILpLQCQCCClV95smlKIwoa9Z+ffEaP1ObXWHNjZ+6akEmSSkhM4Cs2IEE4BA7JUlDAUEAORucWyVAECeII9Y6Q7sY7jgT7Ip/OuY94unma0rMVMllYCQ3abP3qG8z/z6/Z5q/+ChyYGA5AnkAz2e798kvUb/OqA8yfinGfIM+4KnS7uzndmfIebvsNbvk7RvTzDAU1xFpG8T6Uvu+sWBPrnAgdhEB+kry7oxqltBqSxjDf54tMDoRDN/jDI9NKZb2yI3ROlBX08DBH0WoSjjuYHQhBL9OLPvvMj+jInlEfpBEAGhfrW5c0B030nfnKyA8HtQ8gTe9+dz3EIEBKwxccohsojk1rIMaw8oKU/JIwNCBUB0BtZU/CTGfpTrPg1PP9EACKbaIQQN2NMVeEETACaEJyNM5Q8RvNo/ZCRq/yFernP8KyD81wZ26Pt3JUprPMF7T4IZbetZzuMh36KS+l12an/M4VfZC+2PC5ucrPkvDExHWD2ykmVtrp+2oNXDdv79cRkksstYXWaB4YY38y8nCgw95T31xylTeFP41jkPQ55nU16Q8hd93S6yV9935hHyhAoUP+fP4RBuWFj3n1IYUh/39PtRGoMW5A2e2GHImSGDykJgwrAGYpq7r5GIBUhG7M20owSM51jus4SkTzDPp8hNH2PIKiXqqfYMJOriHgqlVbLOCUlz1aCHHIOtA8F4t4EKCA9Peqh1h9xwhWv0NS5AmF0vrU2IauAdb66bfYVpvs6Ff4IIf0aoGo4bNh2SVPqrzNvz3xXRj0fqZyxmo2SE/rVkRYDKCBE4gaGChvCSvgeRvCM98Y0eBILCF6Q2AZKAcK9wIBSaXnsWIAQAHAUAbHpcwTVAnHxhznNO96H8zqxeNSAEgC/qaFdxECBUL5NwsFyIUCQQniJJfpShH+HyTzC1QLgia2fT5r/bo1b7BqolL1uVG1S6VveXFqWrgNBjd3r2IL5nfYnThCh9sdG/YerfMuUc1Of864D2p5x6hfX15fdv0x+PWzbRLxCgeP/BL3kGITj9mieKl8xVtJAxJn1woaoFyD9/hvTRp58L5S8UXx3rfQEQ7wFEYf963fcRiTTh2cQilbBnk2oh0GMSr6CaKF1KlsXjjhmx349lBfq+tEglLqVg1sZFIYWkknNXKR/fz1rvA8TnWPJDyHkTIAqA0B3VQt+tTr94aApDi18/Zmr3Avj3l/iVPQgIyH8QRaWr9hLyEB1D/ms1nFMF1cHwmxxrSv1wYrprDMYeZrBs5EViZNUfyY4eZFhSsnSAdy++bOKyS2Zk9UgAc/J+xX8p+z2JhaNlfoBYrcpXKVwL84Yrnz4DElXnxJADIjAgLeiTpcWdEZEDAINYfw4ZAMgjMtXm5IdLMPkcC9xiiadJ0s+z1i2m3VCoUdgBjFzJWGXqCW/6D6JA8gCmdxBgx18CARAdCJScVSBoD+G/y0FbQjmK13si9p4UDQlT/Siw7qqiXtOdkhNk1NSiJCuLOdXCi44XCkV2gaN+Ndb7Nb0kUOK60BkU8/FeYf9m5QKPgHxQUr6DE4DUF4m+FkP5AYLnAqwkgSHPoO8eMbItxpMvnQjXDgah23a4jNxuJUCU8gIBoZ0zZuu3MQSCNCcgYMNfsliRgFCOEAUQUrw8Qm3lFfIIkRJ7qRQAeFK+phbBtX+e0odHKd3B4H3tqxa6cL2EDv4qFOMrfVWKT+ejr531v+0uAVFbtH4ck/jFsQjkiGuRqiZ2UFC8u2zkBwEysg3CkXInRYzdZEGvLJH0JmtvMMyVX4UiIxkrFOkL7v696tAUS5wDQiAEEFi5k4ColB+ACADvC4xqjO5JTZhDEU/Tyys0vW7hD6Q8l5//nFgU0mOgSR+hhwt0Uj/WPHHs+qvOL8bpnD5W0AL1ixw5KPoRbkLh9D0EueWL0KArm3yBwlNCJi8oFFE1ZZRwCkvrLKa8eRXJ9ASTiHxqmwi5iVwdptbnztKE5Fy8tFnzHECoCWVLiVKylCuq90Uao1Clbx96nIfUSIfMrw8a9Rydfl5iCy0rt+/wXvCl3wG5rGUxpFyeLBk8BwIXrRceITd7g2R4SR8L3ZzTG23o1Y02dF21DoQO/OOtaoBTdUGdvBSDWPQsIcOEtxWJwUjY1bG+vLfKQhLsMs6+A20j7BatFLDBxkq/0aRbFWHx/kmgXlIgXpQsnrZm7f50ZmXxC+sPECBZuzWVZGkBw/ebTKFnqP1DJIlCu0rpLD5kEPoCi7YgOyCmPeElWt0YdO92r06eLRmdXM7zOonEfQ4EzxHqQ658WgfgjHLv+JtykapfB0PtApiYPPqQo6/F5QFYBudkHbkDMsUTEAyNuoC0AsEBUIvwPZTjzx4wjYccgSByEKAIPbLweg4QBQh1MCBP2BrLNaWuYx5VQJpWf+QZDjjr6n8iq8fGxJNaeWnwmcDIrEn4yCWbyyfZ1a+MMMgNta4b2roOo4pyHbNovZ+AUKd6I+JdHGuge8oSxYILL0kVU9rAiMTYzJ++k0DJA4IyB2GNViU/20T3hJKlXEECQKSQ4iBwIKVCHudFNaUvg6D3lQOUjP35GoGheSowNLdivkCfSwRqV03BPnABSPCaQKHP+IZ7JhdUFu+yyqXcEGsV47Ku6vo7Z+g1HTN3BUR1wk/WL1KfNhQfVAPA+5DqagcDykF/Ha0qDG1CG95KUP1CWfqVMj3dpLvTbeKQ0tQc4pS//I5J5Q2lvhcWnqBwE8r/i6gCxP83vZ4rUD7zxX5U63j4Y80GoSkwXOGceFtjgIwlUQkgCqfszNGV3yFwpSOvy56O/W5C7b0zXUmPNd3Wde3VaKIUmqqDRd8vribRZB7TdFxb3Bng2L0hgaCqqQPSG5idLGqTVv3kAUlI3ZkOwaUr6UmKEUlH/geF6XNn/+xZAwDCY35cKFpWfkysSSvyawSi5hAJXM0dYEhkWp+ac7pc0yQwkoesVzJIFnmzvofXdL2cKTyFq0onrqOqfy6aSLfSq1oWroGg83ls0M4AqAaec53zlDYssWA6V3BNF6nEvECQABJIxwpDElAknekzlTbnpBvKtgSEXlJS5Q26y+LxXYpUqKkrWG0FgErTrIZuvZryMrUCIsKT1nCqwFDj0a8CRJeuVPye8Z9I3i1A9HlXC0AW5brrInSS9HGOFjq8QM+64Qf59yNS1RRvaHAc18gvTHcP3T3Vcl7b/hbX6bdug2mFH7m3aKUiB6Ai6abBOdeLQhOtY4GCBIDeyMKKNVgXSUtuuoypQBCp7xVUHAcQjHXAKjB8vjoYWlQNC+swUlG6JIWrZDwpnEoWAaO+ewrju1zcqBTrt7cr3ej2z5nO/jLSjp0c4feONJnoIhCYzFEGBLW59+cwUFoHknUkBgOEECCRniCVUKJKJ9oSLHRS6SN1pBGdrEKS7xtEodSYSEqP9iLivToIadGKAogKjAuW9cvktWnJM28WLcsqUljT98vzSpfSk0cL9LfwkLpOq7AkI/bxAJprv5TDiX7CLUA5TzqvgaI0zn9hBpLMwVRSeh2ApCuRnrWWcCI3TFkhJCX4n9AG5HU/GvHPXjQYJfotiQCCdgEKi3hoqhbT+XhPnuGhqQLD55Kmg1jLE7czQQM/WrpaUp+wVkCIkjEFECFfAJHA0Jf/9SsKeDrkulrob1mngMYYhWHXv8ZrMeeVE17tVSRXVatYKNJP/qjSCUaCEqOJsUofLkCQ3FxfdKrroWAuJUxkd1oAAHksZ7CHEtcI54JJtSywCEVVP0LVIkzF+CCBeY4BqFpTYKiConFb0FsVC9Xy+tKknl8/kymWr1jwNoXgBIqO9UykwBQwdX0mnSYK9jSnHowLec9RyFNfPCgYuIhifMyjuSVU6EHCiuDDQXAKDYQWRFJejTG39mDsL6GFZ1zECHN7HqqYcSDoimQc7wYjfvTlbKoLllwAo3H188GG+nH9Mom1PJCvybxYtD5JnKuPifeW349+AiBVRxJMAgoAvSQ4kdI/Cwh05A1RsiqUpE0ZxGTyirD2egjy0FQ7r9a9RH2uizzjczGnPCMeyQwgiNrOj/4EOwFEkC6vpl/IKArZ43xQ/f3lMRVL5+ZfeES8UR8oqk8uignrEwfV51Gb5E3VUYBQB0LfSRAYOrkcmhaTxMS1xReKVr8iSetALUldL2HVOsAVEBGaBETwEU1lG86/hgdbmipIU9epYiOWXlBt+XcdBzkQOvlei9SP6wvUz0c/SHNJr2olgASScJWc/hIQ1BWuBA1YWCmtW21MpJaFFZb+wtAk5ipyjwlGKwZ9zmCoAkHknwhzauEVvILXMzDSZaJgKai+zDItj6sfizRXzJfH5HWqD75o0uUxy9cH0xKgQKQ6EBJW1ifBBYQe8tJH3xG3IzTNNRGTh0IXll+dizB0Lkyp1diKFgByjf8II3P6/JB/LA/NYI498sIrlsEQ/9UlTiFjneo6UD9ILATFueXxIs17IRDx5kXnY8KYLMapFVX69DYBkDZsongFECIpIcDQhV62Qm69LLLIE6JKuQ5K5QULgGptXXpdL/L5oHoZKxDGdMMzLwYj8S9ZqssWMtblDhYrthf9vwrpegdCE1804CKqMxBtkOYJABIIZxSeUAchgJAyBIRXDhXJiiPRihbHoeQKlHPHFbkXiJau17wLkGllAO8FhCh4D3mC6jLXWD5Hf9X3QvcOhEgnol8fWD93EdXHBBCiOuMSRq9lMNwbIClDrcBYWC4TuvVCUuIi3FRKdgWrDxgRkgKAGCta9gQHmza8IXgQGMFbgKHXMhh1GUNuUf1Y/WqZBS0fi+IatQsg6rS8iEgTLU+mccsUig8K6woKEDw/VCSF+PMBXLCw2CCBIKXXyAGplB8KP9evj1Vbnw/S//pt+XmEAEO8BQjBc10e0TIgorpetMxFbZ2WrzkHxPKky4OX3xOFpQRzdSDiVbe0ACGAkCKkEFGAEZ6xHFrcE/4iqntG7Vq/XtqA9LCA1lkGIngSf6LgN151EOqyRj/oIn1d9N4y6VbHuxYIinOiGLN8Pkjv6xXzLVN4Qx0QtSF8HRiFDS20uBMLp4v6XwBV3KsN8uMYW1Gcd6Z1jnkjL2itUHrwUOdPFC/xH22QXmo1dcgfurjouBLl3LmYKzOz/w9bmJ+VK0te6QAAAABJRU5ErkJgggvijhWJNRm89031HnA/9e5b8Wt//Vdil4D+gut98v4H8fSTT+P89Uls8HqrFRpAl9hoT7l3zvJPGPTHw2i0qnxeiDGE56u/9PX4L//+P4j21l48f3kGw6zALuswt2nyiLzeDyW2aTMDO/3wL34cn370HHZGXPFOlrZdVWwzg83KTHk0XOKuEmMxVpcqpO7eMwjakBzNfcEF1zEQtnDozabci2zDvv0PNv4k78FwXTu6xGzH5GMXWTwI6LOZ5Qq5nEIGvr5uwO7++ctNE254jjDruVqUoN4ShwUkwmTWhsKKXkPuNIBBufnr7NnLOD15nXIBWY/YahyyoV3aWgRGrHyjZwtbyc3t6WZYifnxdJs7MLDp0s27i1Tju+lPEfgmvvqVL8ev/vqvRrHdjk8//ixefvRhvD59GZ3uFRMGGjmFm8lMBQadYVx42wImbD7WI84JQ8guNsSTt95+L77xV341dh+/SYJqGLesZlPJhmMwFNKDDIF/C7JQwnh6F73on90kAuW9inp4k+MvWLYCEZI35BB6BuIAVOVRYLnZJhSQzzE3y2E2+Fcw0rRszgUJ2Ry/gYLjiShoCQOe4SUzXl8DaxeMt8/jNKZxCaIIk96j/BT1/zLQnfn+P/1wsw0TuuZsdViSbVV9EtNlj4TWoMdk51iqrVbD/iDGLn9f3qSmdJfX9azU80wUTfdyYDBuUE7kAit1octgK/zxEiGhKo7LalUKzFo+A7LIu8JyHzx4FD//M1+JnTsHcQKt/wx4uzh5GcNpl+S1HHcJ7Jh+XJ9dpptnzEkTXr28SHTYPwW05jO7YU2C3Y6SWRfi3sO34svQ8YM3H5GjLFLMSUVQpJfukAk0bUALJkCqQQwmvq1tuEEGE86f4qRzZU4Lm1JmUGeoYrq5BtaQgb0tmb+kwZgsehg2SibxlQJ5WPkW2kxP+H3D6yHKsH/vGg87J8XoL2fJo65RvCjTK0RcYQy/tESWf/JP/nKzTe58wwdS8fIigzcAATcwPOipTG+KAJZ4iUEvZdLmB7zeSAAI/N4KLN35EQ9ZY70qyB8tWSqb1vh/AnE+bEqXrtt2XMCCvW9qn7zjza9+Ob751//TtHv7/PmrdMeSK4zi2YvnUWkV4ss/91Px4OFdFDKMZ58+i85ZB2ufx8mL87TXaYcM3mLtaj4mDbiF6gvm0Gjtxs9/7efj+N030zqNrcF6jTejHXCuCUq7VVA+VRDwcWIJBgdcurvDljbTiAwQmpKfzSw9+9dxvBFwb4gRE3/SLgk82RVnrDb9CSKVU2uQvGNgGW/ICwKMiTsD8iREHdeQhAsUL1u+RqY3KMk/Y9TjmEuO+eaS7/3L//WPUBLJIZjcnhN3mHSPGDU5H6SG8i5K8WZKMjdvbL5hMFkmmXYGGhB9rffoJpgQRyQWZE6UuibAYFVm0yXqI/tGmfg8DpqIxoBzSJ0f3D2IL/ziz8TOo8e3yeI5eRMTvux1MIJVPPzCgzh6eADG396WTe999elJnD4jt8LqJT/ePkbGOSfHunr+MnU4DRB2vzePO3fuxKN3Hkep1UiLarW9diIxE4wjg6GZBGHUKfib1DIs5oBSHCtQbF9cuiU1AszZgsp0E0pAaGZ4oneDVA6YMMLH8+xl5Dh7GgGqmAKtUxiHZaYbDH+ElyC06KCYrgbPnHzuAn9VrtlFWVec65dnhcj97b/xXz2Rbk4ZQLtaTVtSXpycYZk9klViBEqw+WIpn+f3BdbiXUn8oxveY8As33vyAKTpot7Jw65OX6dCKu8bK2wm9PYwtnrZR22hsVAuQUcXUdvdjq/9ytfj6M2HqR9aeluFTXZHQ4Q1jwfvPoiDh3eSB9n0jvySta+y5cg1mrEFC909vBM79+7G3p29tNi4QqgrhOhmghHJbQ+vNQH1R4HrHYg15X21diuRImzUChh5Gl6DRxYZb/BY4BFzBQ6+L2Si/D7Ck3p2LJkvCbP1Eg/O2eLZ6nm7Egu8Z1zLw9JIU3LEHkz4ZoOSsktY3CqGyHWA3oeoSBlOEZt/w8kSlBHc8dyDvOV+6zf+2ydT79mNJRzUGjEm9rz/g49jwnMNnNWFXfoGrFLc8Q91mIaLaL72b0LoLWnhS3PwfTzDqrnvfX4bZf0JI0n1LtmP0nBpIQuja29txxaWXqk3sWo8E8XlMICSHoogy1u12wYQYMTbCWD0qemyyvf2Dw9TCavSaERrbxdPB2oYSoPY5R+p6r3ukBWUocRk9Oc3jGsJQcpFEW/J8QDDiTOCAEYDgXIVoIriq9V6EpbtxWug0x0jOTcX7DaiwHgyWyT4/L7CIKeQgAFO50rQ+ZokfD6Kk+kgXs6H8RLmerYc8f4Uz1jEQMVw7CgpBLKFstOfYuA1oyGOb9JfZdNYJqDXW6YZ3/6733qy7I5S4Nsl3xhcdOPp01exgTx4G09vxWLT/lYdmEixBJTmfZsozQHS/bN5bfJ2+8cx1BLC5yJau8e6SiksMMZk2eBCUphrAN5wtlwGfhC+95IztrkTPoMX2oZLGoSa3A0ItgNTWTRk1T0PtJnDZfGSOd4vuywLLSjBFi//gteasU/H81gMMaaRC3OIQaOawMswPPckea/vdJfmMfEV2HQBUzDWyPwzdRaGhVYX4oSvCZA1BFU6TOCady8mo3g16MXpuB/nM5QzGcYpSrpCKRebedxk5ngMXgPcjVG2SDPiXFMhkTF7D3a9SGa4QDSSFBdhNXyV+E6+Gpn/+3//080EyjlAIMe1ZkyvBvHi9CLdntK/hDmcraKFVdlDdwX9vjy/TNVu8TzHya0aGG/S9krljkKKPynXz6YIEym76goywAbN2jMJ8wGctAAmDNW3t+ILX3gr3ZgDbp76Ksyh/ANZjZ0abJFxLKYpD5KoeMeV6s4uRoJVeqsBfk9lKDL7EvmS4XGG4CYQnNPnV/HJ95+mu2R5R601ivKOyW5LcZ3H+9G1gbsMgplhqBmYqYBgndJd9u5OnxDApyVgs4iSSigPuOvznjutnLslrgWGYauX/Rve+Fa6vsDAVIrbTv0jNsYq7ymYKg8Yu3eE9n7s2msF6REckjdtyy6RwwA2+LUF0Pv+P/nhZtUZxAkso4m12ymEWccuLl9GSb0ReQlZvN2qn3z2In74w4/SfXSsVWnl6TZsPNztJluzw/P2VtAoDGu0Cny7L4lYBSwpAdddbAGzzdY/tJhHWHeODlAWeVq1FO3tFlQ1T2KLN8OIqiSn8ymsaTj4ya4Fb1pIZo+SSkXvLVdMRVBvoG7DR1Z44lJz8pxP//JpfPwXn7lvJVrkLyuUvF7O00qr+UwJ71WxKglrSEJzIdJlhUSbiSnrFlR+pxLjBsopb2JIXOqQhPZNEmWzGJ5/4keFWfmfYmD2O8yZLP6JlsyRgE3O6c2d0i0X+L2ITPzbff4NwzJopZLsOW/xeo0Mh8jg54ag1P/y9/6nJ/4Bq4FLELC6potiWNcOmXmLZNGqQ2m8iSomMSHBu3hxkf7YVBkhe4Pzjcsba1gOSWgWr/OmRxvv0jiAXjPTzJBhcrxbZRbdacw7t1X1zIQD3ZQmtABF5mHmK/YEeOOl3R2COZP+4fd+nHZl339wGC2C84acoiBTGrmFf5zWl0rAz2Q0AC4LxDFOC7nwtgXtYi3mF+Q0p4Mo9JeRZ355YC2tOg8QoeNifBnGuiR5d4ljfUkYdzXgCoZ5do1HDhMTTbcuwGCiVkpkwb9JOKtg/VJ6fvc23G7Gc5OzrVkSJXsLP79TsfVLjdUkt0bY8JYKDdhjDfLkJgdv8Ghu5YJi3dDAuWac69EEGf7B//n+xtL+Syx1hYC0sAxB278/oWu69JOFZpg9dPvDOH91Ds4DOViz1V7vLOIJvZGfVfG0Minu8ZkexuX47u3yhXmrMcnKsjvn0mcI1vUb44ityLJEk8BHb90jPKziP3zv/bT1/ue+/hU+ysb1+TmxMY/VAT2jaZog5pH+1oQx07t9dX3N81azBVnox7Mfv4Bqu/WE6+Pt1tR0bdMIm2aKBZSP67mE4o5v7x1rjuaO8Hy1EOUdyAKwm9mF/cLgujCzPm4wLWv9nApjMtF12nIiqxIpFBsXkQmOlNIME13LawXIkkf7R8Wk965cecsbY5RkvGgRATIyJ/F9axTx/wGthJZc4s22OgAAAABJRU5ErkJggoPJ2v4rPzSnJgCNe/sAAAAASUVORK5CYII=

zoomed image 1.5*1.5 (65+33)/65 = 1.5

ZoomElectron

1 w * 0 w * 0 w * 13 mat 0 w * 1 w * 0 w * 13 mat 0 w * 0 w * 1 w * 13 mat 1 w * 1 w * 0 w * 13 mat 1 w * 0 w * 1 w * 13 mat 0 w * 1 w * 1 w * 13 mat 61 sys

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 0 g * 1 g * 1 g * 1 3 mat

zoom 4 Lanczos