diff --git a/08 Medium Dynamic.ipynb b/08 Medium Dynamic.ipynb deleted file mode 100644 index 0b4c259..0000000 --- a/08 Medium Dynamic.ipynb +++ /dev/null @@ -1,3123 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "id": "997decc7-bb4d-4115-b311-6b4cc08f7ece", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "attachments": { - "0c19e7a7-8725-4c6f-ad96-0d0772e0af6d.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "bb32ca61", - "metadata": {}, - "source": [ - " ![dM010.png](attachment:287ee3fa-0a9d-492b-9b1f-5b925cc6796f.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "fd8b36d4", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "# creating variables if not declare in physic lib...when reset.....ok\n", - "m,F1,Na,Nb=symbols('m F1 Na Nb')" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "bffe3102", - "metadata": {}, - "outputs": [], - "source": [ - "# creating A object and adding Forces\n", - "A=mparticle()\n", - "A.addF((10*m,-pi/3),(F,pi),(Na,pi/2))" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "2fc3484a-f106-4b01-9a79-b09cd7e9f46d", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Frx =- \\frac{Na}{2} + \\frac{5 \\sqrt{3} m}{2} + \\frac{\\sqrt{3} \\left(- F + 5 m\\right)}{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Fxa=FrxQ(A,-pi/6)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "e5088b80-9a6c-4ede-87f1-b566a51953df", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =- \\frac{Na}{2} - m + \\frac{5 \\sqrt{3} m}{2} + \\frac{\\sqrt{3} \\left(- F + 5 m\\right)}{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e1=e1Q(Fxa-m)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "f18427ab-6702-4966-bb52-f5d8d66b82e1", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fry =- \\frac{F}{2} + \\frac{5 m}{2} + \\frac{\\sqrt{3} \\left(Na - 5 \\sqrt{3} m\\right)}{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Fry=FryQ(A,-pi/6)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "5b140fb6-2c6b-4d41-a2dc-72b68c0ab789", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Na =\\frac{\\sqrt{3} \\left(F + 10 m\\right)}{3}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Na=Fry.solve(Na,'Na')" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "77e32c05-2d72-47e3-976c-b26af0a3ab12", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =- m + \\frac{5 \\sqrt{3} m}{2} + \\frac{\\sqrt{3} \\left(- F + 5 m\\right)}{2} - \\frac{\\sqrt{3} \\left(F + 10 m\\right)}{6}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e1.upgrade(Na)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "1e5448f3-af2d-42d0-a551-c96e2dd2eaf2", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle F =\\frac{m \\left(10 - \\sqrt{3}\\right)}{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "F=e1.solve(F,'F')" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "a21ad3ce", - "metadata": {}, - "outputs": [], - "source": [ - "# creating B object and adding Forces\n", - "B=mparticle() \n", - "B.add_forza(F,-pi/6)# = F1 =F_1.v, value of Eq F1\n", - "B.add_forza(Nb,pi/2)\n", - "B.add_forza(10*m,-pi/2)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "b767f43f", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Ac =\\frac{\\sqrt{3} \\left(10 - \\sqrt{3}\\right)}{4}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Ac=MyEq(B.simple_ac(),'Ac')" - ] - }, - { - "attachments": { - "2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "585d7c0c", - "metadata": {}, - "source": [ - " ![dM020.png](attachment:8de09ab2-9e61-44cd-b5dc-4b58cd679655.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "2ade75d0-e8d5-482b-bf08-a6d5485520ca", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "76145ccb", - "metadata": {}, - "outputs": [], - "source": [ - "m,M,g,T,V,ac,h,x=symbols('m M g T V a_c h x',positive=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "118b549c", - "metadata": {}, - "outputs": [], - "source": [ - "A=mparticle(m=m,g=g,y1=0,y2=-h,a=pi/2,ac=0,v1=0,v2=-V)\n", - "B=mparticle(m=M,g=g,y1=0,y2=h,a=pi/2,ac=0,v1=0,v2=V)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "9ca850ea", - "metadata": {}, - "outputs": [], - "source": [ - "A.addF((m*g,-pi/2),(T,pi/2)) # Tension\n", - "B.addF((M*g,-pi/2),(T,pi/2))# Tension" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "e863152b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =\\frac{V^{2} m}{2} - g h m - h \\left(T - g m\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e2 =\\frac{M V^{2}}{2} + M g h - h \\left(- M g + T\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e1=e1Q(A.energia()-A.y_res()*h)\n", - "e2=e2Q(B.energia()-B.y_res()*h,kope='r')" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "77cbc731-b043-40a7-8e8b-7d1cb3dbb97e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle h =- \\frac{M V^{2}}{4 M g - 2 T}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "h=e2.solve(h,'h')" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "44fa78ee-88ca-4b19-82e0-a8fe81f53a11", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =\\frac{M V^{2} g m}{4 M g - 2 T} + \\frac{M V^{2} \\left(T - g m\\right)}{4 M g - 2 T} + \\frac{V^{2} m}{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e1.upgrade(h)" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "2e79ac97-da0b-48a4-8478-2ed09c1c9b77", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T =\\frac{2 M g m}{- M + m}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T=e1.solve(T,'T')" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "88cc342a", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e2 =\\frac{M V^{2}}{2} + M g h - h \\left(\\frac{2 M g m}{- M + m} - M g\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e2.upgrade(T)" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "9a4a1ab6", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle V =2 \\sqrt{\\frac{M g h}{- M + m}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "V=e2.solveR(V,'V')" - ] - }, - { - "attachments": { - "2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "a079e9b5", - "metadata": {}, - "source": [ - 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" - } - }, - "cell_type": "markdown", - "id": "945719ca", - "metadata": {}, - "source": [ - " ![dM030.png](attachment:f8e3ee9e-79a9-40f6-b658-674f1eedd6af.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "6ca854dc-9b97-4e3f-bb65-65e9521047ae", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "5536a015", - "metadata": {}, - "outputs": [], - "source": [ - "alpha,L,m,g,mu,N1,fr,L2=symbols('alpha L m g mu N1 fr L2',positive=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "id": "cd15ae6d", - "metadata": {}, - "outputs": [], - "source": [ - "# take note that we take AB like axis X\n", - "A=mparticle(v1=0,m=m,g=g,x1=0,x2=L,y1=0,y2=0)\n", - "A.add_forza(m*g,-pi/2+alpha) # adding weight\n", - "A.add_forza(fr,pi)# adding fr" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "f535a021-bb57-4967-a9a0-28e6127d4418", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fy =- g m \\cos{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Fy=FyQ(A)" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "d535ab5b-58f1-4d6f-a0bb-c5aa120347a9", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle fr =- g m \\mu \\cos{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fr=MyEq(Fy*mu,'fr')" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "id": "2ed8846c", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle W1 =L \\left(- fr + g m \\sin{\\left(\\alpha \\right)}\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# set W like MyEq(Fx* dist('x') also applied factor() and name W_1... y ya..\n", - "W1=MyEq(A.work_due_forza('x',kope='f'),'W1') # Work1 from A 2 B = Fx*L" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "id": "b7c04f86-6ee6-4638-9de5-9f35da1013d8", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle W1 =L \\left(g m \\mu \\cos{\\left(\\alpha \\right)} + g m \\sin{\\left(\\alpha \\right)}\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "W1.upgrade(fr)" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "id": "986d78bf", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "B=mparticle(m=m,g=g,x1=0,x2=L2,y1=0,y2=0) \n", - "B.add_forza(m*g*mu,pi)" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "id": "84b74f9a", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle W2 =- L_{2} g m \\mu$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "W2=MyEq(B.work_due_forza('x',kope='f'),'W2') # Work= Fx*(x2-x1)" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "id": "5fb6a89a", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle L2 =\\frac{L \\left(\\mu \\cos{\\left(\\alpha \\right)} + \\sin{\\left(\\alpha \\right)}\\right)}{\\mu}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Total Work = cero because Vel ini and Vel final equal cero\n", - "L2=csolve(W1+W2,L2,'L2') # Find L2 " - ] - }, - { - "attachments": { - "2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - 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" - } - }, - "cell_type": "markdown", - "id": "601b2ad6", - "metadata": {}, - "source": [ - " ![dM040.png](attachment:134e5cc4-c52b-4f78-8cb1-506ce4193930.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "id": "6447b8ed-8e70-4a66-9c65-04d74f07930b", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "id": "3f190b78", - "metadata": {}, - "outputs": [], - "source": [ - "M,m,g,N1,Fr,ac=symbols('M m g N_1 F_r a_c',positive=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "id": "542c7d29", - "metadata": {}, - "outputs": [], - "source": [ - "A=mparticle(m=m)\n", - "A.addF((m*g,-pi/2),(N1,0),(8*N1/10,pi/2))" - ] - }, - { - "cell_type": "code", - "execution_count": 35, - "id": "693e31c2-35d4-4d22-ad13-5d2de0aa1708", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fy =\\frac{4 N_{1}}{5} - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Fy=FyQ(A)" - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "id": "bfc33fe9-a677-4e4f-b4d5-e434e3bf28f0", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle N1 =\\frac{5 g m}{4}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "N1=Fy.solve(N1,'N1')" - ] - }, - { - "cell_type": "code", - "execution_count": 37, - "id": "6066c5d0", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Ac =\\frac{5 g}{4}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Ac=MyEq(A.simple_ac(),'Ac')" - ] - }, - { - "attachments": { - "2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "9e72273a", - "metadata": {}, - "source": [ - "![imagen.png](attachment:c3c747ff-f47e-452b-ba2a-57d1b13c2410.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 38, - "id": "3e69f4f4-0f1d-4551-ab32-7115892ae789", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 39, - "id": "c6dc41b7", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "m, w=symbols('m w',positive=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 40, - "id": "bd0dc463", - "metadata": {}, - "outputs": [], - "source": [ - "P=mparticle(m=m,g=10,r=10,w=w) # mass ,gravity, radio , velo angl." - ] - }, - { - "cell_type": "code", - "execution_count": 41, - "id": "f4827c48-faa2-427f-aa4b-b2cb59b8a643", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle 10 m w^{2}$" - ], - "text/plain": [ - "10*m*w**2" - ] - }, - "execution_count": 41, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "P.fcentripeta()" - ] - }, - { - "cell_type": "code", - "execution_count": 42, - "id": "66bf7fb9", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle W =2$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# F centripeta = Normal = Frozz/mu = m*s/mu\n", - "W=csolve(P.fcentripeta()-10*m*4,w,'W',kpositive=True)" - ] - }, - { - "attachments": { - "2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "523a2693", - "metadata": {}, - "source": [ - "![line.png](attachment:2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png)" - ] - }, - { - "attachments": { - "cc5c6a38-082c-4d30-83f7-931dc60d53ce.png": { - "image/png": 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- } - }, - "cell_type": "markdown", - "id": "1bb5f207", - "metadata": {}, - "source": [ - " ![dM060.png](attachment:cc5c6a38-082c-4d30-83f7-931dc60d53ce.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 43, - "id": "0016a673-5f89-422a-8d2f-bd371b687f10", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 44, - "id": "3d0f11b0", - "metadata": {}, - "outputs": [], - "source": [ - "F1,T,m,g,a,fr,fr2,mu,N1=symbols('F1 T m g a fr fr2 mu N1',positive=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 45, - "id": "764ce64a", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle a1 =\\frac{F_{1}}{7 m}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle fr =- g m \\mu$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =- a m - g m \\mu$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# in A ...first Eq F = mass * accelll\n", - "a1=MyEq(F1/(5*m+m+m),'a1')\n", - "fr=MyEq(-m*g*mu,'fr')\n", - "T1=MyEq(m*a-fr,'T1')" - ] - }, - { - "attachments": { - "2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "9906ad9a", - "metadata": {}, - "source": [ - "![line.png](attachment:2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png)" - ] - }, - { - "attachments": { - "bbb5a91e-027c-43e9-8e00-3ec76498452f.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "313f686c", - "metadata": {}, - "source": [ - " ![dM070.png](attachment:bbb5a91e-027c-43e9-8e00-3ec76498452f.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "id": "2b37f3e7-9f53-4598-8914-d584e02f4530", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "id": "d2d003cc", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "m,g,T,Aa,Ab=symbols('m g T Aa Ab',positive=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 48, - "id": "9fbad8af", - "metadata": {}, - "outputs": [], - "source": [ - "#relation between mass\n", - "ma=m\n", - "mb=5*m/3\n", - "Aa=3*Ab # for gromrtry" - ] - }, - { - "cell_type": "code", - "execution_count": 49, - "id": "746338cb", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle A_a =\\frac{T - g m}{m}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Aa=MyEq((T-ma*g)/ma,'A_a')" - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "id": "996aca9d", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle A_b =\\frac{- 9 T + 5 g m}{5 m}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Ab=MyEq((mb*g-3*T)/mb,'A_b')" - ] - }, - { - "cell_type": "code", - "execution_count": 51, - "id": "19f7db51", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =\\frac{T - g m}{m} + \\frac{27 T - 15 g m}{5 m}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e1=e1Q(Aa-3*Ab)" - ] - }, - { - "cell_type": "code", - "execution_count": 52, - "id": "b64b7051", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T =\\frac{5 g m}{8}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T=MyEq(e1.solve(T),'T')" - ] - }, - { - "cell_type": "code", - "execution_count": 53, - "id": "59f4ec17", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle A_a =- \\frac{3 g}{8}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle A_b =- \\frac{g}{8}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Aa.upgrade(T)\n", - "Ab.upgrade(T)" - ] - }, - { - "attachments": { - "2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - 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" - } - }, - "cell_type": "markdown", - "id": "75053b6f", - "metadata": {}, - "source": [ - " ![dM080.png](attachment:ec8f10f5-a6bc-4647-9f02-6f55e49c3cd7.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 54, - "id": "66c8a0dc-f90a-4385-8909-dd92fa47296c", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 55, - "id": "33abcd77", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "L,m,g,F1,alpha,x,h,V2=symbols('L m g F1 alpha x h V2',positive=True)" - ] - }, - { - "attachments": { - "69f4d319-e8f9-489c-8c97-ad3a1a5756d8.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "4262a489", - "metadata": {}, - "source": [ - " ![MyTriang.png](attachment:69f4d319-e8f9-489c-8c97-ad3a1a5756d8.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 56, - "id": "69669e78", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\sqrt{h^{2} + \\left(L - x\\right)^{2}}$" - ], - "text/plain": [ - "sqrt(h**2 + (L - x)**2)" - ] - }, - "execution_count": 56, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "get_hipo(h,L-x) " - ] - }, - { - "cell_type": "code", - "execution_count": 57, - "id": "e038c1f1", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\frac{h}{\\sqrt{h^{2} + \\left(L - x\\right)^{2}}}$" - ], - "text/plain": [ - "h/sqrt(h**2 + (L - x)**2)" - ] - }, - "execution_count": 57, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "T3=MyTriang(cat1=h,cat2=L-x)\n", - "T3.sin() " - ] - }, - { - "cell_type": "code", - "execution_count": 58, - "id": "152f4fa4", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\frac{L - x}{\\sqrt{h^{2} + \\left(L - x\\right)^{2}}}$" - ], - "text/plain": [ - "(L - x)/sqrt(h**2 + (L - x)**2)" - ] - }, - "execution_count": 58, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "T3.cos() " - ] - }, - { - "cell_type": "code", - "execution_count": 59, - "id": "08766c97", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle W =\\int\\limits_{0}^{L} \\frac{F_{1} \\left(L - x\\right)}{\\sqrt{h^{2} + \\left(L - x\\right)^{2}}}\\, dx$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "W=MyEq(F1*T3.cos(),'W',var2=x,x1=0,x2=L,ktype='I') " - ] - }, - { - "attachments": { - "48936901-a071-4104-b8b7-7a6a03603db7.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "b5b34343-b74f-4e05-bf60-9ae1bf14dbfe", - "metadata": {}, - "source": [ - "![imagen.png](attachment:48936901-a071-4104-b8b7-7a6a03603db7.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 60, - "id": "fc7dd040-188d-49f3-b42e-fc278303bea5", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle W =F_{1} h \\sqrt{\\frac{L^{2}}{h^{2}} + 1} - F_{1} h$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "W.doit()" - ] - }, - { - "attachments": { - "d0f5aece-f017-4001-866b-74aa71ce856f.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "642af3ad", - "metadata": {}, - "source": [ - "![imagen.png](attachment:d0f5aece-f017-4001-866b-74aa71ce856f.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 61, - "id": "0efba3c2", - "metadata": {}, - "outputs": [], - "source": [ - "P=mparticle(m=m,x1=0,y1=0,x2=L,y2=0,v1=0,v2=V2)" - ] - }, - { - "cell_type": "code", - "execution_count": 62, - "id": "f73b3e37", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\frac{V_{2}^{2} m}{2}$" - ], - "text/plain": [ - "V2**2*m/2" - ] - }, - "execution_count": 62, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "P.energia()" - ] - }, - { - "cell_type": "code", - "execution_count": 63, - "id": "2da7a96b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle V_f =- \\sqrt{2} \\sqrt{\\frac{F_{1} h \\left(\\sqrt{\\frac{L^{2} + h^{2}}{h^{2}}} - 1\\right)}{m}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Work Total = Energy Total, whit this find V final\n", - "Vf=csolve(P.energia()-W,V2,'V_f',korden=0)" - ] - }, - { - "attachments": { - "2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "cc38dfd2", - "metadata": {}, - "source": [ - "![line.png](attachment:2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png)" - ] - }, - { - "attachments": { - "597124d8-471a-4240-97ef-7fa8523d1ccb.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "f044d9e8", - "metadata": { - "tags": [] - }, - "source": [ - " ![J200.png](attachment:597124d8-471a-4240-97ef-7fa8523d1ccb.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 64, - "id": "b4defea5-91f5-47b6-8438-198179483ba0", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 65, - "id": "41291067", - "metadata": {}, - "outputs": [], - "source": [ - "m,M,g,T,fr1,fr2,mu,N1,N2,F1=symbols(' m M g T fr1 fr2 mu N! N2 F1')" - ] - }, - { - "attachments": { - "258352a4-8624-4c2e-a7ec-52b56f100c9b.png": { - "image/png": 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- } - }, - "cell_type": "markdown", - "id": "f3d9bde0", - "metadata": { - "tags": [] - }, - "source": [ - " ![J200a.png](attachment:258352a4-8624-4c2e-a7ec-52b56f100c9b.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 66, - "id": "916b771f", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =T - 2 a m - g m \\mu$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e2 =F_{1} - T - a \\left(M + m\\right) - g m \\mu - g \\mu \\left(M + m\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e1=e1Q(T-m*g*mu-m*2*a) # from P1\n", - "e2=e2Q(F1-T-m*g*mu-(m+M)*g*mu -(M+m)*a) # from P2" - ] - }, - { - "cell_type": "code", - "execution_count": 67, - "id": "92be29d5", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle a_c =\\frac{F_{1} - M g \\mu - 3 g m \\mu}{M + 3 m}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "a1=e2.set(T,e1.solve(T),andsolve=(a,'a_c'))" - ] - }, - { - "cell_type": "code", - "execution_count": 68, - "id": "a39033d0", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T =m \\left(2 a + g \\mu\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1=e1.set(a,a,andsolve=(T,'T'))" - ] - }, - { - "cell_type": "code", - "execution_count": 69, - "id": "344075e3", - "metadata": {}, - "outputs": [], - "source": [ - "Q=MyData([m,M,g,F1,mu],[2,5,frs(98,10),30,frs(2,10)])" - ] - }, - { - "cell_type": "code", - "execution_count": 70, - "id": "4e6ff4fc", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle a_c =\\frac{211}{275}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T =4 a + \\frac{98}{25}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "a1.upBag(Q)\n", - "T1.upBag(Q)" - ] - }, - { - "attachments": { - "2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "57f5a4f0", - "metadata": {}, - "source": [ - "![line.png](attachment:2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png)" - ] - }, - { - "attachments": { - "482b523d-acb0-4b81-b5f1-2ada03336add.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "266105d4", - "metadata": { - "tags": [] - }, - "source": [ - " ![G100.png](attachment:482b523d-acb0-4b81-b5f1-2ada03336add.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 71, - "id": "e21510d6-0f51-481e-81cf-afa5ee05178c", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 72, - "id": "8ca3b8d7", - "metadata": {}, - "outputs": [], - "source": [ - "m,M,g,T1,T2,f1,f2,a1,a2,Tx,Ty =symbols(' m M g T1 T2 f1 f2 a1 a2 Tx Ty')" - ] - }, - { - "attachments": { - "0429e37e-c1e1-49d1-a593-34094d8c0ab3.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "c18f5642", - "metadata": { - "tags": [] - }, - "source": [ - " ![G100a.png](attachment:0429e37e-c1e1-49d1-a593-34094d8c0ab3.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 73, - "id": "b79b1719", - "metadata": {}, - "outputs": [], - "source": [ - "# from A T1=Tx+Ty vectors\n", - "Ty=m*g\n", - "Tx=m*a1" - ] - }, - { - "cell_type": "code", - "execution_count": 74, - "id": "82fc172a", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =M a_{1} - T_{1} - T_{2} + a_{1} m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =- T_{2} - a_{1} m + g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e2 =- M a_{2} + M g - T_{1}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e3 =T_{1} - m \\sqrt{a_{1}^{2} + g^{2}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e0=e0Q(M*a1-(T1+T2-m*a1)) # from B\n", - "e1=e1Q(m*g-T2-m*a1) # from D\n", - "e2=e2Q(M*g-T1-M*a2) # from C\n", - "e3=e3Q(T1-get_hipo(Tx,Ty,kope='r'))" - ] - }, - { - "cell_type": "code", - "execution_count": 75, - "id": "e76e6406-2910-4b14-a9c5-72def7255f22", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =M a_{1} + M \\left(a_{2} - g\\right) - T_{2} + a_{1} m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =- T_{2} - a_{1} m + g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e3 =- M \\left(a_{2} - g\\right) - m \\sqrt{a_{1}^{2} + g^{2}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =M \\left(- a_{2} + g\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1=upgradeList(e0,e1,e2,e3,T1,T2,a1,a2,andsolve=['T1',e2])" - ] - }, - { - "attachments": { - "4a97964a-4efc-45e2-b11d-7acc0ed1e654.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "002b2cf7-cac1-466a-bcae-8e20206aa1ea", - "metadata": {}, - "source": [ - "![imagen.png](attachment:4a97964a-4efc-45e2-b11d-7acc0ed1e654.png) " - ] - }, - { - "cell_type": "code", - "execution_count": 76, - "id": "4e497a0d-3d0f-4338-8343-7d7cd236b9fe", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =M a_{1} + M \\left(a_{2} - g\\right) + a_{1} m + m \\left(a_{1} - g\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e3 =- M \\left(a_{2} - g\\right) - m \\sqrt{a_{1}^{2} + g^{2}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =M \\left(- a_{2} + g\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T2 =m \\left(- a_{1} + g\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# If you are here it is because this is easy for you... my friend\n", - "# Now follow your criteria and we choose...T2 from e1 ..ok my dear Nerd....\n", - "T2=upgradeList(e0,e1,e2,e3,T1,T2,a1,a2,andsolve=['T2',e1])" - ] - }, - { - "cell_type": "code", - "execution_count": 77, - "id": "b814af75-e79b-4d43-b9db-20a593d0437e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e3 =- M a_{2} + M g - m \\sqrt{g^{2} + \\frac{\\left(- M a_{2} + M g + g m\\right)^{2}}{\\left(M + 2 m\\right)^{2}}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =M \\left(- a_{2} + g\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T2 =\\frac{m \\left(M a_{2} + g m\\right)}{M + 2 m}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle a1 =\\frac{- M a_{2} + M g + g m}{M + 2 m}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "a1=upgradeList(e0,e1,e2,e3,T1,T2,a1,a2,andsolve=['a1',e0])" - ] - }, - { - "cell_type": "code", - "execution_count": 78, - "id": "ee874428-2c71-4135-a606-f9afcc4d18e7", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =\\frac{g m \\left(M^{2} + 4 M m + 5 m^{2}\\right)}{M^{2} + 4 M m + 3 m^{2}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T2 =\\frac{g m \\left(M^{2} + 2 M m - m^{2}\\right)}{M^{2} + 4 M m + 3 m^{2}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle a1 =\\frac{2 g m \\left(M + 2 m\\right)}{M^{2} + 4 M m + 3 m^{2}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle a2 =\\frac{g \\left(M^{3} + 3 M^{2} m - M m^{2} - 5 m^{3}\\right)}{M \\left(M^{2} + 4 M m + 3 m^{2}\\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "a2=upgradeList(e0,e1,e2,e3,T1,T2,a1,a2,andsolve=['a2',e3])" - ] - }, - { - "cell_type": "code", - "execution_count": 79, - "id": "b4c7c568-c268-45cf-9103-faebbe44fef0", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e5 =- \\frac{2 g m \\left(M + 2 m\\right)}{M^{2} + 4 M m + 3 m^{2}} + \\frac{g \\left(M^{3} + 3 M^{2} m - M m^{2} - 5 m^{3}\\right)}{M \\left(M^{2} + 4 M m + 3 m^{2}\\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# in the problem... a1=a2..... then create a e5 equallity\n", - "e5=e5Q(a2-a1)" - ] - }, - { - "cell_type": "code", - "execution_count": 80, - "id": "99341443-c8fc-4792-b1a0-9d8541ddd9a6", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e5 =- M^{2} + 5 m^{2}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# as is equal to cero exp´loit whit this wonderfull. func reduFac..or Fuc* Eq...\n", - "e5.reduFac() # Ja Ja... " - ] - }, - { - "cell_type": "code", - "execution_count": 81, - "id": "e039d224-9664-4ad2-ab38-48e21c570833", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle M =\\sqrt{5} \\sqrt{m^{2}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "M=e5.solveR(M,'M')" - ] - }, - { - "cell_type": "code", - "execution_count": 82, - "id": "b0fa1a86-8710-477b-ab8b-c9100700b5ae", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle M =\\sqrt{5} m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "M.opemat('r') " - ] - }, - { - "attachments": { - "7f00c855-8a2e-4b7c-a3cc-07746c424194.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "134c7c82", - "metadata": {}, - "source": [ - " ![centri1.png](attachment:d6fe77f9-e4df-4c7f-b3b6-1691fc46bc15.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 84, - "id": "29e7c5cc-8085-4565-96bb-f60af33863d3", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 85, - "id": "773190c5", - "metadata": {}, - "outputs": [], - "source": [ - "m,g,w,an,theta,N1,x=symbols('m g w a_n theta N_1 x')" - ] - }, - { - "cell_type": "code", - "execution_count": 86, - "id": "c81109a4", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =N_{1} \\cos{\\left(\\theta \\right)} - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =N_{1} \\sin{\\left(\\theta \\right)} - m w^{2} x \\cos{\\left(\\theta \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e0=e0Q(N1*cos(theta)-m*g)\n", - "e1=e1Q(N1*sin(theta)-m*w*w*x*cos(theta))" - ] - }, - { - "cell_type": "code", - "execution_count": 87, - "id": "e2d968f0", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle x =\\frac{g \\sin{\\left(\\theta \\right)}}{w^{2} \\cos^{2}{\\left(\\theta \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "x1=e1.set(N1,e0.solve(N1),andsolve=(x,'x'))" - ] - }, - { - "attachments": { - "2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "9ab1699d", - "metadata": {}, - "source": [ - "![line.png](attachment:2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png)" - ] - }, - { - "attachments": { - "83b2e286-9870-4613-9a95-dbbfacda901c.png": { - "image/png": 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" - } - }, - "cell_type": "markdown", - "id": "2ad546ba", - "metadata": {}, - "source": [ - "![centri2.png](attachment:83b2e286-9870-4613-9a95-dbbfacda901c.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 88, - "id": "c2fc5b14-5efa-486a-aca5-c9aeba0a7349", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 89, - "id": "8ca0d21c", - "metadata": {}, - "outputs": [], - "source": [ - "m,g,w,R,L,alpha,x,T=symbols('m g w R L alpha x T')" - ] - }, - { - "cell_type": "code", - "execution_count": 90, - "id": "fdf1e826", - "metadata": {}, - "outputs": [], - "source": [ - "P=mparticle(m=m,g=g,r=x) # is important declare radius in circular dynamic\n", - "P.add_forza(m*g,-pi/2)\n", - "P.add_forza(T,pi/2-alpha)" - ] - }, - { - "cell_type": "code", - "execution_count": 91, - "id": "43dcf88d", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fx =T \\sin{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle Fy =T \\cos{\\left(\\alpha \\right)} - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Fx=FxQ(P)\n", - "Fy=FyQ(P)" - ] - }, - { - "cell_type": "code", - "execution_count": 92, - "id": "ee36c7af", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle \\frac{\\sqrt{T^{2} - g^{2} m^{2}}}{T}$" - ], - "text/plain": [ - "sqrt(T**2 - g**2*m**2)/T" - ] - }, - "execution_count": 92, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# if Fy=0 then cos(alpha)=g*m/T\n", - "# My Triang to set sin and cos...\n", - "T3=MyTriang(hipo=T,cat2=g*m)\n", - "# teh sin(alpha) wll be..\n", - "T3.sin()" - ] - }, - { - "cell_type": "code", - "execution_count": 93, - "id": "4133a2ea", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =- T \\sin{\\left(\\alpha \\right)} + m w^{2} x$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =T \\cos{\\left(\\alpha \\right)} - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e2 =- L \\cos{\\left(\\alpha \\right)} + x$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e0=e0Q(P.fcen_due_vel_ang()-Fx.v) # Fcent=Fx=m*w*w*r\n", - "e1=e1Q(Fy.v) # sFy=0\n", - "e2=e2Q(x-L*cos(alpha)) # X=radio total" - ] - }, - { - "cell_type": "code", - "execution_count": 94, - "id": "d55af4aa", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =m \\left(- g \\tan{\\left(\\alpha \\right)} + w^{2} x\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e2 =- L \\cos{\\left(\\alpha \\right)} + x$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T =\\frac{g m}{\\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T=upgradeList(e0,e1,e2,T,x,w,andsolve=[T,e1])" - ] - }, - { - "cell_type": "code", - "execution_count": 95, - "id": "781c3070-93bb-4086-b46a-37eaaec8a400", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =m \\left(L w^{2} \\cos{\\left(\\alpha \\right)} - g \\tan{\\left(\\alpha \\right)}\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T =\\frac{g m}{\\cos{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle x =L \\cos{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "x=upgradeList(e0,e1,e2,T,x,w,andsolve=[x,e2])" - ] - }, - { - "cell_type": "code", - "execution_count": 96, - "id": "f151c995", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle w =\\sqrt{\\frac{g \\tan{\\left(\\alpha \\right)}}{L \\cos{\\left(\\alpha \\right)}}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "w=e0.solveR(w,'w')" - ] - }, - { - "attachments": { - "2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png": { - "image/png": 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vnarI+8uyLMdxOp0uPDy8qKiIHAZ9fX2nT58+cuRIRUVFcHAwxpoBAAAAgGkIfyWGgGG320mTvqmpqb+/XymC6+F5vr29vbKy8qzkzJkzpyRut7ukpCQ3Nzc6OlqpCtOGwWDIzMx86qmnnnnmmeXLl2u12paWFvnAkAegIeeaz+dTagMAAAAATAMIRyBgtLW17d+/f8uWLWVlZUoRXI/X6927d++vfvWrn/zkJ9u3b1er1aQ9TKxcuXLmzJnBwcEqlUqpCtMGy7JyzxEiJSXlvvvu++QnP/nYY4+VlJQcP378j3/8IznXXC6XUhsAAAAAYBpAOAIBY3h4uKmpqbKysqurSymCK3E4HK2trfv27fvggw8+/PBD0tClaTooKCgmJiYjI2OBJCsry2KxqNVqDDIyDZHjgbzvrMRoNKakpBQUFMybN2/OnDmxsbFut/vIkSPbt2//+OOPT5482dfXp6w2VQwODh46dKi8vLy7uxtjrAAAAACADO0iCACCIJAGv9VqJa0aYmhoiCx7PB7MrHEJURRdLhdpzdbV1ZWWlu7YsWPv3r2k+Udav4WFhXl5eZmZmUmSqKgonU5H2sbKmjBdaTSa8PDwuLi45ORkeZyg6OjoioqKAwcO7Nmz5+TJky0tLQMSp9NJjiVyjClrBizyWsh5cfr06Y6ODoQjAAAAACBDOAIBwOfzdXV1DQ4O0jRtMplII62+vt5ms6FhcwlBEEjDTx5qVFZTUxMbG3vvvfd+8pOfJN9TU1OVqgAXU6lUQUFBCxcunDt3rtVqJaeYcgyN6O7u9ng8Su1A1t/fv2fPntOnT3d2diJgBQAAAAAZwhEIAA6HY/fu3efOnVOr1SkpKaSR9tvf/raurg7DIhCiKPI8T3YF2UvDw8MnTpw4cuRIY2PjsmXL/umf/unLX/4yaevK/UTkKWmU1QAuJl9ro9FokpKSnnjiieeff/5Tn/pUYmLioUOHfiopLS3t6enxer0BGiiMnikEWfD5fB4JMlYAAAAAIBCOQAAgDZjz58+3tLSwLBsZGTk0NLR//365nabUmMZI085ut5eXlx88eJA0X8lCf39/cHDwwoULV69evWrVqtTUVJPJpNQGuJ7Q0NBFixatWLHivvvuy8nJUalU5IgiqqqqysrKOjo6nE6nUjWg+Hw+q9VKPknq6uri4+M1Gk1vb29DQwMpVGoAAAAAwDSGcAQgsLndbtJe/eUvf/mtb31r/fr1nZ2d+fn5n/nMZ2JiYpQa45by/sNX+1JqwHRisVjIsfSVr3zlNQkp2bx587Fjx3p7e+UKgcXpdDY2Nr799tt//etf77vvvqCgoHPnzm3durWhoUGpAQAAAADTGMIRgIDU3d196NCh3/3ud7/+9a8//PDDiIiIpUuX3n///fPmzcvIyCA3NRqNUnV8rp2AICKZhjiOM5lMMTExyZKioqKUlJT6+vq///3v//u///vnP/85sGIFQRDcbndXV1dvb688ibXdbu/v73fh6jwAAAAAQDgCk5koij6fb2BgoKOjg2VZi8USFBRkNBpJwyY0NHRoaKivr8/hcEy3IQNIG4+07kgb9cyZM0eOHDl+/HhdXV1mZubKlStXr15dWFgYFxd3ozPRIPiAyzEMo1Kp9Hq9SZIrIadkZWXlwYMHybFXUVFBjkOiu7ubnImTfyIbecwRt9ut0WjIqyOvhSxjzBEAAAAAIBCOwORF2lqkJVNVVbVv3z7S2k9NTc3MzIyPj8/JycnPz6+trT1z5kxnZ6dnSsygMX5er5e88FOnTnV1dQUFBSUlJckzsBYVFRUUFCQkJJjNZqUqwMSJiYnJysrKyMhISUkhywaDgRyE70iOHz9OjkbM/AIAAAAAgQvhCExepK3ldDorKyv379+v1+vT0tLkcCQ7O3s0HCFNsukwLCt5jVartbGxsVpSUVHR19cXERGxZMmShx56aOnSpaSxqtVq1Wo1x3EMc0vndd3qzWO/lFKY9sihFRISMmfOnPvvv3/FihUlJSVut5ucg0RZWVldXR05GSftWK0Oh6O/v5+cNSaTiXyG6HS6oKCg0NBQcsoMDQ11d3ej/wgAAADANIdwBCY1r9dLWlw1NTWkYUZaMmFhYWazOSIiIiYmhpS3tLRYrVafz6fUnnIEQSB7QE5GmpubDxw4sG3bto8//pi08SwWS3p6en5+Pmms5uTkkJbeDV1HcwmEIDAeer0+MTFx1qxZBQUFs2fPTkpKipYMDw9XVVWVl5f39vbKRyzP86JEWfNuI0+srq6uuro6Li5u0aJF5JMkOTl55syZJpOJnFllZWXTrQMaAAAAAFwC4QgEANLEcrvdTqfTMYIsT4e/9MpDJJDX29nZeerUqf/7v/979dVX33zzzeDg4KVLly5cuJAsKFVvGbqKwPhpNJrIyMgnnnjiu5KUlJTq6uqdO3c2NDTIZ6jX651UV9mQJ3bw4ME9e/bk5uZ+8YtfTEpKmjdv3j333BMREXH69OkPP/xw0vZ5AQAAAIA7A+EIBAC73f7xxx//4he/+J7kv//7v3/1q1/V1NRM+fZMVVXVr3/961deeYV8J8v333//1772ta9+9asLFiyIiYmRB5VUqgLcQTRNsyyr1+vNksLCwvnz5xuNxi1btsgn6Z49ewYGBiZPzxGe571er8fjUavV5HlyHEdOH/kMIuWYsAYAAAAA0LKCScrtdvf39zc1Nfl8vri4ONKAaWlpKZNUVVV1dHSEhYUZDIa+vr6uri6r1aqsFuAEQbDZbK2trfJQDmfPnj137hx5yW1tbaQteu+99z755JOPP/54ZmYmaZEq6wDcbcnJyXPmzElKSiJnonySkkOXIMdwXV1db2/vZOhFwvO83W5vaGiQTy6ioqKCfKqQQqUGAAAAAExj9OT5yx5MDQcOHNiyZUtjY+OKFSuefvpppfTGdXZ2nj9/fvv27SzLJiYmajQaskDTNLnLP5KBdNySOj09PRkZGfn5+bNnz5bWC2xer7e+vr60tHTnzp3kZmRkZEpKislkslgs4eHh5JUGBQXJNcmukPfGNYxO0HsrF8uMneV3ylx0Q46fPXv2bNq06c033yQ3ly5dun79+uzsbLKT5QpwQwRBsNvt7e3t5MTv7+8nJdXV1a2trQ6Hg+zV4uLixYsXq9VqufJdsWvXrs2bN7/77rtxcXHx8fFyIXl6bW1tHMcVFha+/PLLISEhcjkAAAAATEPoOQKTlNPp7Orqqqqq8vl8s2fPnjt3bklJyXwJWVggiYiIkIdlHRwcVFYLZAMDA+T1njt3rqenJ1hCGnJ5eXmkbVlQUJCWlmY0GpkR409GAG43ckDqdLro6Ojc3Fz5JCWHKzk9Q0JC5Nm4t27dunnz5v379/f19d3hoU+Hh4fJOdXe3q7VaufNm5eamiqfXERkZGRmZmZGRoZer9+5c2dFRYXNZptUQ6UAAAAAwB2DcAQmF9JwIo2ZwcHB/v7+np6ejo4Oh8NhMBhIMyY2NjZREh8fP2PGjNDQUNIkI9W6u7tJzYGBAbIWqSxPk6FsbnIjz5M8W6fTSZ480dbWdv78+fr6epZliyWzZ88mbbmkpCTy2sPDw+/8396RsMA4cRxnNpujo6PlkzQ7O7ugoKCoqIgct+Qk3bNnz8cff3z48OGWlpahoSFymt+xk5R8npw6dYo8LvkYuf/++5cuXSqfXERJScl9991HFoxG47Zt286dO2ez2QLl0wMAAAAAJhbCEZhcrFZrY2Pj+fPnq6ur29raHA6HPAcnaV+53W65jiAITqezqamJVCD1SQWyXF5eXlVV1dXV5fV6A6h5w/M8ef7k9ZLnT1RWVpLmWXJy8uOShQsXXjsTSXn/4dEvpUhyi6HGFbcJMH5ZWVkrV64kx3BhYaFeryens3yEE+S0tdvtdzIcOX36NHlQs9m8evVq+cwaa9GiRUajcevWrXI4gp4jAAAAANMTwhGYXOrr6//+979v3Ljxd7/73Z49e/r6+s6ePfunP/2JNG/IslzH4/F0dXW9//77u3fvbmpqIhU2b978s5/97Fe/+tWBAwdI84af3LP8kmahz+dzuVykiUhe1JEjR9566y3y/MnrVavVJSUlc+bM0UrIzWtcQXN5IDIhcQYyEbh1KpVKPoZTU1OXL1/+la985YUXXli8ePHBgwcPHz5cU1NDzlOn03mbupAIguD1eh0jyAOR042cdOSxOI6TnxhBzi+WZUkhqUyeCalDapL6ZCGwMlYAAAAAuHUIR2BykZs0w8PDPM8HBQXl5OTExsaSVg0x+hdd0miRr0YxGAzp6elxcXGknWO1Wslabreb3DvJWzXkyXd2dpaVle3du7e0tPT8+fMDAwNDQ0OkPZmcnJyXl5eYmKhUvbqrRRiXRyQ3NIrqNZKRKTMaK9xJ4eHhubm5q1atevjhh+fPn6/T6To6Ok6ePLlv375Dhw5VVVXdjiiTfIa0traSk4ucYseOHSPL5EEbGxvPnTvX29urVJJiVlJOnkNdXR355Glqajpy5Ah5YmfOnGlra5vkGSsAAAAATCzMVgMT7BZnqxkaGurv7ydtm7Gd21mWDQsLM5lMpGVFbpJGi9vt7urqurxacHBwaGgox3EMM3mDP/K0t0vIvjKbzQsXLlyzZo1WqzUajeRmUFDQeMYWGX//jvGHGlfb5tSLRcjnHmarufPsdntnZyc58vfv319RUUFO6kWLFn396183GAxKjQlCPn/IQ7zxxhs2m83lcvX19ZF3nLy5hYWFn/vc55YtWyZXI58he/fu/etf/7pv377RUZDJ2VdUVETqPPLII+SUlGsCAAAAwJSHcAQm2C2GI17JJX+zpWla7gBPkJvkoCUVPB6PIAhjD2BSTSUhC4RSOsnU19efOHGira1tYGDA7XaTZuGsWbMWLFggP3OO48j38SQ7Y4OMutWbJ6THxyUbmcJdRRCO3BU+n48c86dPny4rKyMfEeQk1el0FouFHPDBwcHkRIiLiyMLSu1b0NPTU1lZuWPHDvJw5FOCfFaQQnKuzZgxY8mSJTk5OXK1oaEhUu348eO1tbWkjnwOkmeVkpJC6hQUFGi1WrkmAAAAAEx5CEdggt1iODL1kFPM5XLZbDar1UpuksbYkSNHfl94Sr73T9HrSYM8NjaWtA/Hk4mMuiQcId+vmI/cUMBx+TanKoQjd1FXV1dPT498HVxzc/OhQ4e8Xi/Z80VFReQtSEhIMJlMN3QuXM4pzQBFNj42ZmVZVq/XyxNdySVut5tU6+7uJs9ELpGZzWZSJyIiguM4pQgAAAAApjqMOQJwe5HmWW9v74kTJ96RnDp1ajQZIZ7o+H5sbCxptk3ari4AEyssLGzmzJlFRUUFBQU5OTlJSUmJiYlGo7GmpubcuXN1dXWXdBy7CRqNJjIykmxfnrJXRm5mZmaO7ZmiVqvDw8NJoVJjBCkhq8v91AAAAABgmkA4AnBbkAZeV1dXfX19VVVVZWVlWVnZGYl7ZELiURzH+a8CuuVwZGr39YApg2VZ+QIWk8mUmpr68MMPr127duHChRqNpr29vaKigpwv5Kxpamqy2+0+n09Z7UYwDDP6KJcY2yeFnHRXrEZOSeSVAAAAANMNwhGYdkRpyBJ5cJPLydPi3NzlZmO37HQ6y8vL9+zZ89FHH508eXJ4eHiGJDk5eWfuT5UVAKYxjUYTHh6el5c3Z86c3NzctLQ0juMaGhq2b9++devW0tLSnp4eh8MxelYqqwEAAAAA3AYIR2DaIa0s0tZyOp32KyHlN92rn2yZrCtvub+//6OPPtq4cePrr7++f//+uLi470k+/elPk2VlBck1xlK9Ueg8AgEqIiJi1apVs2bNGhoa+tnPfvbKK6+8/fbbNTU1fX19DodDHn1ZqQoAAAAAcBtgQFaYYJN/QNbe3t7a2trdu3d3d3crRSM0Gg1ppD388MMJCQnjmU/3EqQhV1dXt2vXrq6uLpqmLRaLVhIVFZWZmZmbm6vUu1IgcqO5xhUHT72VMVkvWXdq5ywYkHVyampqIudmeXm5PK/N4OAgWTCbzeT0KSoqSkpKUuoBAAAAAEw09ByB6YI0tEi76+zZsydPnDx2+Nj+Pft37tq5fdf2Xbt27d61myx/vOvjPbv3lO4rPXHsxKlTp86cOUOaakNDQ8r618TzfF9fX319Pdk+adpVVFQ0NDQkJiY+8MADn/rUp5YvX56amqpUldyO6OFqPVCuVg4w2URFRRUWFj7++OOf+cxnFi9e7HQ6GxsbyQlVVlZGzqlLZp8BAAAAAJhA6DkCE2zS9hw5fvz4jh076urqHDYHK7KswNop+zA1bKbMNEX7KB9P8VpKq6f0HtbD07xWq507d+68efPy8vKUTVydy+U6fPjwuXPnWlpaUlNTzWazSqXKzs6Ojo42mUxynctnJ71i749xuonI49oPcStPJuCg58jkRN6X0R9JfX19Z86csVqtg4ODXV1dDocjPj7+ySef1Ov1cgUAAAAAgAmEcAQm2OQJR3ieHxgYaJGQm7X1tafPne7v7mdF1mwwh4SG0BraQ3nUlJomJwIlku9qXk276cquSrvTruN0aalpyanJcQlxarWaNMzS0tJYlh3NOLxer91uLy8vJ4/i8XhI+83lcmm12qKiorCwMFItKChIp9OpVCq5/uUuCThuKJK4uf4g48xHEI7AXed2u/v7+8lZNjg42NDQUF9fT0rS09M5jjMajYmJieTNGk0er6a6urq5udnpdF7+k27GjBmxsbHkVCUntVIEAAAAANMYwhGYYJMkHCFtKofDUVdXd+zYsRPHT5ASu8duc9kYntGr9BaDxRxu1mq1KlrlET0iJbIUq6E0LM963J6y9jKH06ETdVq1llWzrIbVG/WFBYX3Lr3XYrGQppQgCB6Ph7S4+vr6duzY0dLSQkpCQkLkAIW0sYOCguSncV033V/jGuHI6HauWGfKBx/jgXAkgNjt9tbW1qqqqpqaGrLA83xYWFhRUVFKSgp5vxiG0el0oyMEyecm4ZPmAN69a/fxY8f7BvtIOU35p+YlJzv5YihmTv6cvLy85JRkjUajUqnIRi7v2wUAAAAA0wd+F4Spyel0dnR0VJRXHDt8rHRvKflqbWo1m8wpySkpqSkRMRGMhuFYzqg2Cqzgo32k4aSltCpGxWiZuMS4jMwMfz8Rhm1qaNq/d//efXsPHztccb6ip6dnYGCgs7Ozurq6fAzSbCPtK7JKcXGx2WxWnsQNuqHOIFfLOMaWk+XLq93QowDcdTqdLiUlpaCggHyXh2sddf78+YaGBqvVqlSVUlFyhpJCucKJYydKD5Tu3bt3D/lvLzmT9+/eu3vX3l1k4ejho6dPny4v85+85IzGaCYAAAAA0xx6jsAEmyQ9R0ir6cD+A8cOH3NZXSatv++9zqAzWoyUluJZXqREI23UGrSsge2x9fBuXuPTaCmth/LYKbuRMgqU4BJcrmGX0+a02W1Wwepxe/Ssfs0jaywWS1dX19GjR0mTzGw2FxcXR0REaDSa6OjoqKgosiw/gfG76c4j43d5IHKbHihQoOdIwHE6nT09PZWVlT6fb3BwsKKior293ev1zpgxY9WqVQUFBXK1vr6+kydP7j+wv7q6mtw0q8xqldrBOCiaknuHDVPDPMWHUCEej8flc7l4V1RkVF5e3mOPPWY0Gmma5jhu7NVzAAAAADBN4Pc/mJpI86mmtqayutLpcyakJZCvmJiYEEMIx3ICJZDWEWkmMRTjZJykOaSiVORLpEQ35XYxLo1Wo9PoVJzKZDFFzoj0DzsyI27YOuyf0Wbnx0ePHq2vrx8aGiINM61WW1hY+IAkNzf3JpKRO+O6/UfITfQogclMp9PFx8fff//9K1euXLhwITmdWZYdHh7u7u4+ffr07hF79+09dOTQqbOnKs5X1J2v4318VExUampqWlpaalpqclpyelp6VlpWdlq2QW/o7eutqqqqKKs4feL03j17yepHjhxpbW212+3KowIAAADAtIGeIzDBJknPkUOHDv3t3b/tO7jPFGbKzs8mJUbKaKEsLsrlptwCJYRRYS7GNcAMmHiTQTSoKbWH8gzRQzbONiNshpbX8lZ+2DPsEly8wHN27tTpU7sO7jKbzbNnz77nnnvmzZsXGRmp0WjId71efyt/Z74klbitfTpGH2vso4x9AtOkRwl6jgQ0l8vV399vs9kGBgZaW1vff//948ePy3dxas4YYgyPCo8Migynwr06r6gTjayRoikf5SPnvpkyk48CFaXqcnb1u/s9Hg/toK191oqmCq/Pm5iY+MQTT5SUlKSkpMgbBAAAAIBpYsr1HKndsIAe8fw2pRCmE6fTWVpaevzIcWuPNSkiKTk82cJYLAYLp+ecnFOgBY7iSNPIRtm8glfv0wuiQJpMHsojUAIlUuQb5aC8Tq+Dd/Air6bUJtpkUBkioyPTZqVxWs4n+FiWjYqKiouLI9+1Wi051pTHvil3Mo+QH2uaJCAwValUqpCQkBmSoKAgm83W39sfrAuOC41LjkpOjkiOC4kLsYSIFlGtVRtVRr1ez+k4Sk1OboGlWIZirJSVVpMT20SqGYIMpjBTYmRiZFQkz/GHTxzet3/fmTNnPB6P8ngAAAAAMA1MoXBEjkXSXjyo3KaojSsXbKhVlmHaIE2aU6dOVZRV2AZtM0JnxATH6BidTqNj1ayP9Q+8KocjTspJWkoGysAwjI/xuWm3j/Lfq+JVtJP2uXwO3uFPUhhOy2pZFRsSHpI2M81kMcnjEZDmlslkMhgMHMfdYjhyh12ejIyWIDSBgEDOQa1WS84+gizwPC8KYmREZEJ8QnJ8cnxEfLgxXKvROjVOWkWT85dTcYyKoTmapVmWYsmJP0wNC5yg0+rIiaw1ak3BpsSExKSkJJPZVFNTc/rM6erqaq/XqzweAAAAAEwDUyUc2fb8SCyybqtIbF0nFcM0RJo0ra2t7e3tbofbZDBp9Vq36Hb73LyPZwVWS2nl0Ua8lL/lo6f1pIHE6BivxuthPKTcRJk4D8d7eY/gIc0nWkvTOtqlculMusSoxBBTiEalkR9oKqm70rw2AIGCVbPGcKMp2mSOMpuDzDqNjqZoJ+X03yWyHt7j432MwBhFo5pSC5TgolyCinwcsKQm+dIb9eYYc8yMmHBLuLXf2tHW0dXVhflrAAAAAKaVqRCO+LuMrNzoX/IHI2+t8BdVl/lvlzy+KtX/L0wDoij6fL6+vr7mpma3061iVWqdmud4F+1y8k6nw8m7eM7HcSLHUixpOMlrMRRDanKkmBXlCX01lEapQKqwlKgSeRXvZbykqp7VBxuCDVqDIAjD9mGHyyFvBADuPLvd3tvb29nRSU7YYEswpaa8Kq9L5SJfHsYjUiI5l0k1r+B1upxetz8OVVNqUllenfzLcAw598k3hmHIKipGZebMFr2F3DloHWxtbR0eHpbrAgAAAMCUF/jhSO2GZ0a7jEjBCLHtVakI2ch0Ioqiy+WqqanZt2+fc9hpMBhMwSZe5Z+1l7SI1D4142N4kecp3j+2yAiy7ON9AinjKUb0nw4+ykdWke8ld9M+mvWxrCjFJSwVERERHBTMC3xHT0f/YL9SbUJh1hiA8ejp6amuqj5z6oyW1c5MnBmkD9JpdZyG49X+NJOcxWbKTE5bl+jyn+A+iuZpcvqTL+UEJx8DPCUQlCB/SmgprVFtDI8Mp1m6vbP98JHD7e3t0kMBAAAAwNQX6OHISDRS8nrNSDJCbXte7kdC5aRfNxvpj0uTv5TbELD8vTmGhw8ePPirX/1qsGcwOCg4Ii5C1IgqShVFRUVT0XpK76Acw9Swm3KT+lLPENIqEmwOm9PmpF20RtD4KF8/1e+l/C0rfwPKTbF2VmvTBvFBpP4QNxSbGBsdHe31easbqps7mqVHnnjIRwCuq6GhYf++/Vs3bzWpTEsLlqYFpcUaY0OMISqjyqPyj68cSUUyFEPOenmYIVIySA3Kgw2R05l204JNsNvsw95hcuJHUBFGyj90a1xqnKARymvK//jHP54/f155MAAAAACY6gI8HKndsknuNfKdF5QcZNvzyiU2FFWSdZ3IA5nI1OPz+Vwe15A45GJcLMtqVBqf0dcX0udRe0Ra6Q/CMZxBYwgOCqYNdC/VS5pJpO0kUqKbcpOFUCqUtKPk6IQgrSbSmiJtKlIhhA6hOEoe1VUv6LWCVq4z4TD8B8B1CYK/25fX62VoRuTEAWag293dZ+vz2rx6r95CWeQraMiZS05Y8lFgNBgNQQaHxjFEDZkoE/nSUBr/mc5QtI5mwhiHwTHMDmtYjZE2anmt1+PFsCMAAAAA0wctiiNXEAQiJQopeb2m9IXUscGI35jrbK5sbDgS0lKjLMGtOXDgwJYtWxobG1esWPH0008rpbefz+fr6en57W9/+8v//WViemJifOKMyBmMmvHpfD6NzzRk8nl8TtHJUZyO1enUOspI2d32YeuwltKSBpJACTzNk3aRntFrvVpSk7SgGIoh9RmGcbJOraA18sZ+qp+n+D/ln1UeFe6eW4mQyOfenj17Nm3a9Oabb5KbS5cuXb9+fXZ2dnh4uFwBJjOn00lO9tL9pYdKD509dTYnIycuMY6csPKwQWpKrRf1ekpPTu1OqtNG2SyURafRMRrGqXbabXbB5Z+mSkfpyAlup+x2zs5q2RhzjNVmtdltKl7V3dbd19Pn8roefeLR5Q8ut5gsak7NsiODlQAAAADAVDQVBmSlqIMvptGElIyUvF5T83qJXA7TEWkdkZYPaReJlOjhPYyL0Q/r7T67V/SSQtIccgtum9fG2BiDy0BaTQIlyJP4qlVqn943ZB7ycl7SvjJTZo7ivKzXpXHpzXqj3ih3MCFfyiMBwN3Q19e3c+fOE8dOWPutGWkZqmDVEDWko3RBYpBFtLAi66bcdspOTm1lBWkSK6fL6bA5NF4N+XxwUk7y5aH847ZSvP8COspK6dw6g2Aga+kt+sgZkUlxSV39XUfPHe0b7PN4PcqGAAAAAGCKCvBwZMVbY+bsLXm9RhTF0hdSayqkYUiud1UNTFnysIv+vINXk7aQ2qP28l4f5VNRKg2l4USO53m7x877eNKgIvXlMQg0okYtqGmBJs0q0riS++T7e5T456tRCYJgo2wMxVyY7QIA7gan01lfX9/S3mJ1Wo2hRp1exzKsoBMYNcOxHDlJvZRXHlpIq9LqtDqe4z2Ux38BjochJzL5cCB15C//5kT/5XOUkxI8giD68xSNVmMwGXRBOo/TY+22+tw+UUAkCgAAADDFBfhlNVdUu2FB2osHr39VDS6ruS0mw2U1qempCfEJ0ZHRakotDyvQSfvn+zSL/s4gPspHGk7ku57SG2ljr9hLlklNI2sUOMHFugiNoPx52UW7eJYPUYcIPsHusZPVyWPRLB0RE5E/O7+4oFh+dAgsuKwmoFVUVLzxxhs1tTXkTMzLy9OqtTRH+0w+rVfLeTi3x+2iXOR8j6AivAavW+V2u9yi199DhHwUCNLcNBzN6UQdqUNqOigHKSeVnbST3KT9oxOJ/lSU4vWsPi4mbtHSRREREXqDXnl4AAAAAJiKpsZlNRdRBmlFx5FpzEv5+4mQBRWlIu0ffxcSlZrlWIEWyE01pSbl/uCDtIzUFEfuoKXOIDyldqsNDoNbcJP2EtkCQzGcyDE+xuvwOj1ON+UmK5Iv0nYiq8t/mgaAu0LOL8h5ylGcilH5VD4363bT/rOSnLnkrHdRLnJ26zgdwzLyCMtyNuqlvZyK86M5UkK+SGVyOjtZp/+SOkZNSsg5TlYnJ7uJMpEPDf/KAAAAADClBWw4su15mqaf36bcGmNkAptxzOMLUw9p72g1WjNt1ggaL+8dFv0T96o4VZApSGPQ+IdjpP2XzJCWj0iLok6kgiiT1qRn9aRkmBp2Uk6yEf+90gwXOkqnp/QaSmOn7KQkWAzW+DQM7z9rWNLeYqZgtggQKFSUSj5DXZTL7rMbrUbWyXp9Xi/lHzOIo7g+qs/mtFHDlMlt0vAasoqDcpBVzJzZYXbY9Xavyj8OkYEykMo9VI+oFU0mk06r41h/XEK+5AcauwwAAAAAU1XAtu7SskooauNKesGGWqVENjq575prX1IDUw1N0xqNJj4+vrCg0KK3uJ3u/qF+m8/mofwjKfrbNrQ/9SANJ1IiX0dDyp20k6H9w4gIlECaWHLli5C1WFHQCqJKFAWxZ6BncHiQYZjwkPAgU5BSBwDuHn+UKdAGl4H1sDzPk5vy9XRkweV1ud1uxsewor/3BznB/RfQUUaWZn20z027yYnPUf5hSmyUTaRFDa0h3wXaP/IIqUk+KOyUnXwnm5IeCgAAAACmrIANR1JfeFuak0aaqGa0B8m25/2jjfhn8b3OcCMw5TAMYzKZ7rnnnq9+9auWKEv7QHtNU43D5fAHIj5v72Cv0+rUuXWM6B+skbSRzKKZdtCdvZ3D9mFSQdnKGGRF0i6ysTa31m0ONtNGusXXcrjmcE1rjZpTZ6dmJ8YmKlUB4I5zU24bZbNSVj2lj6Ai1JRaGWBVunzGSBljqBhSMkQNyVfJyXcRap86bCBMNaxyup2D1OCF6+PslHfIO+gYdPqcNEWTLTgpZw/VQyrw/iltAAAAAGAqC+DrAlJfKBWVuWo2rvTP5EtIk/kiGpmuWJY1mUwRERGciiNNIdbDakQNadWQ5pOKV3E856W88l+VSbPHP1CrQPt8Pl7kOZYzaA06vY5X88PUsHwpjYtykXVVgsrkM2kcGtpNe0SP3W13eV3kUNNpdBqVv6M+ANwVHMWR81RH6TyUh5y2/u5garVBb2D1rIvzD7NKKpBqPsYn6AWVXqXX6OVRlgfEAdEn+scsoQTyxVAM2UgYFUY+EBw+ByVS8mblDmXoNgIAAAAwTQT4oAkr3hLFkYREIk3ni2hkOqJpmmEYjUZjNBkjIiJCg0MNnEFwCG6X20255QEaeYon1dSMWsP6u9yTtUjzyb/AUCpOpVapRVb0j0rA6rSsVmk4CYzKq6LttHvIPdQ/ZLPZPB4P2Qipz7H+phcA3GFqtTo8PDwsOMygMriH3Ta3zUbZyNnNsqxKpWI4xkt7XZTLS/l7hJGPBZ7jaY4mJ6yW1nooj5WyklNb3hQ5/ckng4pS6Sk9zdBezks+DQSv4B+D2eHUqDUWs4Wc7Awd4D8rAQAAAOB6psIvfFJCoih9AcOwTnek4ZSbm5uVmRVsCR7qHxoeHOYojrSFSCuIpVitSqvWqmkt7WD8V9yYKBO5yyt6BcGfgwii4GE8KoNKq9NqOA1pEZF7fbzPZ/cNdgw21TQN9g56XJeNSwIAd5DZbM7Pz8+YmWE2mVvaWnqHe+V+XrzA+8cc8Y86Qvko3yA1SJb83cd43sv7z3FO9M9WI1f2V5KQBXLTP06zRmR1rMiJQ66h9r72ju6OIFPQzMSZJoOJ45CEAgAAAExx+GsYTDUajSY3NzczO9MYZOwb6LMP2uWO96T9o6E1pJEjqASXyuVm/HPWyPPyeniPy+3yOX20l2YZllfxtIrWMlqG8g9QYhftpMJg72B7XbuKUem0Op/P19TUVF1d3djYaLfbSaNLeWwAuP3MZvOcOXPSZqbpzfrmtmb7sJ2T5uh1e91ul1twCzTvn1/GSTn9eaigFVyC2+32eKU+X6x/Fl9SWaAE/yjN0szfpKa/MusPTwVO6HX0Nvc1t/W0BZuDZybNNBvM6CYGAAAAMOUhHIGphrR8YmJiIqMidQady+XyODwsz7p5t5f3MiIj8v7xWV0+F1mWL7Qhq4ii6ON9pJzhGb2oJ/e6fW5SgRIospaTd3q9Xpfd5bK5UpNS4+PiPR7PwYMHt23btnfv3s7OTvIopILP50NKAnAHaDSa6OjokNAQTsUNDg5STkrDa1yCy8N7RJ9I+/wTU/mrURotpVWJKnLW+0cXEniO4Qzkc0Gvc7JOQZqnhqVYH+XzUB4VpdLyWrVPzfO8zW0bdAzanXa9Th8ZGqnVaFnWP9kNAAAAAExhCEdgapJHHyAomvInF16fwAvky+6y2+w2j81j4k2kXTRADZDvSv8RykMaSxbeMuy/FmfQ5XH5++jz/tSEoBk6ODj4wQcfLC4u9ng8f/7znzds2PD222/X1NRYrVa73U4KSWXl4QHgthEEqScIOeN8PCuyJp9J79MPi8M8xZNzmZzR5FwWKCGSivTP2kspuQZN0yzHBhuDgyxBNpWNZ/yVyZeX8pIVw6gwo9PIDDKizX9NDvkA0Wj8Hc3kdQEAYHra9jz56XFhXkwAmNrYl19+WVmcfpw/+amyRFG6f/4nZQluTXNzc01NzeDgYFpa2uzZs5XSO45hGLPJTJo3PX09R08erW2o9dq8JrWJVtMiK4rSaCMaSkOaRqRdRL5IC0pP6bWUlqboYWqYoRg1r+7q6Kqrq6uoqOjr7YtNiH3kE48sWLggMTFxxowZ6enp5NUlJyeXlZXt3r37wIED5CWr1eqIiAjlGcDk1tjYWF5efvz4cbKclJS0ZMkS8t4ZDAb5XpjMuru7d+zYsXXr1kOHD7W3t1ttVrvDHmII8WcZnH8MES2jNWqNmmCNjbYN88OMyJATXBRFt+jmBI5yU1a3VaX2Dy2k0/in9xYF0UbZyJaddmdtfS2pmZyUvOrBVfl5+SEhIfKDAgDAtFO74dlnP2yhKE3RU5+fhx8HAFMfeo7A1BQaGjord9a8knkpM1M4HWfSmRiBGRgc6Ozs7O7sHh4Y5r08wzIqjYpiKZFWZq4hdXxu32DPYGd7Z3tHu23YRgu0UW80BBsyczNXPbQqPT09OTl59uzZq1atWrNmzaJFiwRBaG5urq+vP3/+fGVlZUNDg9PplJ8DAEy49vb28vJycq5ZrVa9Xh8VE9Vn7autr6Uc/ljEy3l5jlexKvLlVDudrNPnv8zGPwQJudctuB0Oh9vuVvEqmqYFViCnv4pWMRQzRA05Kafb4+7t7GV8THx0/KKFi2JjY5VHBYC7RP67/VXd2h/0azcsINtYsKFWuQ13n/KGX/ONvbHOHHLtm3yXayoOSv/mpGPCB4BpAeEITE0qlcpisczMmLli5Yp/+Mo/fPUrXy2aV9Q73HvqzKkzJ8601LQ4XU6nzjkUPETr/HN8koaTnbLbebvD5qgrqzt+8PjhE4cpjipZUPKVf/jK5z7/uXvvuzc6OtpoNOp0OpPJFBYWFhMTk5aW9vDDDz/99NOPP/44ebjz589v2bKlt7dXeRIAMNEOHTq0c+dOjUbzwAMPfPGLX3ziiSdi42IdTod/+CANRRkpykCJjOhyu7qHunkXrxE0cu8wmqK1lNYhOqyC1UAZWC/rdrrJirzPfxepIFCCKIg+j48SKf8kvhYLeRTlUQHg7tj23kZl6co2rryBVvKlards8rd8D1bUyLfh7qutLpP+3fiDq4UZ256nV0oHxdWrXEQ5hG7uXR55OiVZadK/ADDVIRyBqYn8tuS/ssZsTklJmTd3HvkqKi4qKCooLCrMzMgMDg5ubG88W3627FxZZXllZUVlxfmKsvNllbWVbd1tCXEJBXMKSOWC4oKiuUVz584tKCiIj49XqVRkm/4/QEg4jjMajZmZmcWSnJyc0NDQoaGhvXv3vvvuux988EFtbe3w8LDyhAAmh1v6G9rd4HA46uvr5dOKaG5utlgs5LybM2fO/PnzFy1atGLFCnKeDtoHG+sb66vre9t6nXan1+e1O+2i1z+Vr4bS+C+rkabs9V8xR6n1lJ7lWd7Le7wet8s91DfUVNVUeb6yrastakZURmYG+dwg5zvZUcqTAIC7Y8VbYs3rJdLiuq3iJUbu2bjy5vIRpVcAGr6TyEhPDergpi1X+DFVu2GBnIz4jas3x8TEG+g4AjBdIByBKYthGK1WGxoaGi/Jys6av2D+svuWzS+Zn5icaHVa29vaexp7Ols7Ozs6u8h/nZ3dfd0On2N27mxSjSieW5yZlUnWnTFjRlBQkJyMKFuXtq/RaCIjI+Pi4hISEmbOnJmUlGQwGM6ePbtr1y7Slquqquro6Ojr6xscHMS1NjA53NLf0O4kr9c7NDTU399PTszq6uojR46Q04pwu90pKSnyBW5EVlbWfffdt2jxIp7jB/oH+lr6rF3W4cFhm902PDzsc/tYgdWI/nCEoimBFhiK0VAaNaUWvaLL6bLZ/NVsQzayFvkQsLltKekps3JnpaWl+YdzBoBJ4wqN29QXSsWt66TFcfYiuIjycVjy+Co0fCehK6Qj255Pe/EgecdKpFBsfHHHrV0Xg/wMYLpBOALTRUxMzOLFi9esWbNy5co5hXO0Rq3oFtU2tegRRcE/5ghpPrEq1hBiWLx08aOPPvqJT3yiqKgoKipKXv3aOI5LSkrKyckhbbbu7u7yMSoqKhobGwcGBpSqAHdR4HQRdjqdDQ0NlZWVyok0IjQ0tLi4OCUlxWQyqVSq8PDwhQsX3rvsXku4haM5yk55+72DvYPdPd39Pf1Ou1PkRf+UvTRLftz5OB/HcBpKw1CMx+UZHhzu7ent7++3D9tVoj8K0Zq0s/Jn5Rfkp6amYqoagMlBaZ9epXG74iW5+8iVOxooA1gQl3ctGbli59qt5mtt4UbIw5vcQre9GxkfRX7SN/CER56d3/VXu40dEMdeRnXwxVcveirbnpc6jZS8/p3H5YIbcXM/9EZ+ZF58jCjHxK0dEAAwOSEcgemCYRjS2iFI4yo/P3/dunXf/ta35a9vfYv871/4l3/+l+eeey4pKUmr1ZKaLMuStZT1r4n8lCQ1Q0JCcnNzv/CFL3zzm9/80pe+NDw8/N57723YsOGPf/zjiRMnSGOP53lR9AcxAHfHrf0N7Q4gJ4ggCC6Xq6Gh4U9/+tMbb7zx5z//ua+v79577yWnFbFkyRJyCpNzU/rl1I8sx8XFPfXUU1978WtfXPfF3MLcAdvAsWPHzh8739ncOWQb6nP3DVPDXrVXpVNZKWuXp8vmsfV29TZUNpw+cbqxrTEoMugf//EfySfA888/X1xcHBERIW9feU4AcBcp7dOrNm5TVz0upyOX9IeT2vsXLsHwD04itWZHc4CR+6RhS0aMbfBebQs3Qxne5OZte9XfZ+KyDEh5NRc9LyVEGB95A1KHDMXGleOLPS48lZEA6ZL1RopvYKeNvNmvvy51CNr43oVVlVe1bmvpC9Q147KLXTneGK/LO474X5S8e9GbBGBKQjgC047BYCBNqUWLFj1wmWXLls2fP19ueim1b4Rer4+NjV24cCHZFGnLJSQk6HQ6nuf7+/urqqoOHz5M2nik4afUBrhrJu8vdeR8sdlsZ86cOXr0KDlxPB6PRqMhp1VxcbF8kqanp5NT+JLU0mKxkArkpLv3vnuL5hWlZ6UnJSdlJmcyNNPS3lLZUFlTX1NfV99U30QWKuorzteftzvsQZagxMTEtJlpuXNyyblPNk4+FkiJ0WhUtgsAd91IpHtVV6pAmvxye18aqES59GYc1q1ZoSzd7BauYiTCWfedF24tmb6okV+74ZkxqYasdsMPpLb7uq1vjbyWqyItfSUWkQd0Gd/LvChv8IcrI1nMwRefGY1HyKZHijeuHHc8MtpL6IU1F6Uj5FGUaIS8qOvFZRe57uEzHiM7feRFlbxeI4qlt/hOAsCkhHAE4LbQ6XSrV6/+xje+8e///u8rV67s6+vbsGFDTU0NaewpNQDuuFv7G9qd4Ha7Ozo6fvvb3/7973+///77X3rppW9/+9uf+MQnEhMTlRrXZLFY5s2b95WvfOUVSdLMpDNVZ/bu3rtry64d7+74YNMHez7Ys3/H/g92fCBqxFWPrCKnJzlJH3nkEb1er2wCACaT635qjVS4kGuQNuxoriEFBGlZY8ao8A9UQlx5mNeRPOGaW7gpysNeP7C4AUpvkosoZSWvv3SdR7qQavh3gfS8RlKH8Q3CQnb4aII0YqT7ziWdV8qqx9MVhaymjAJDdvOKMenIhXdDepo3k3fc3Ds3NoYZ2V/+YAS5CMDUhXAE4LZgGIa00yIjI2NjYzMyMgoKCnJzc0tLS998882f/exn27dvb2hoUKoC3CkT8je026Gvr2/Xrl2//vWv33rrrc2bN4eHh69YsSIrKyshISEqKiooKEitVitVr4llWb1eHxYWNkOycNHCx594/Llnn/vcs58jX88989znn/38F577wrPPPXv/A/fnzs6Ni4sjJyk5Vcd5AR0A3B1XbdyOBAQXspGRhvlo14mRS1rG5isjZWMilQvGtYU7TIlnxhjpIuI3mj4o8cJ1O6iM9jkZiX+IkVzletmI/IOkJIsa7bdCNjK204my/0per1EiqHEOAX7RCLkj6chK5TIWsjX5id5QyH9Dla8mJ51SUiDyQhGMAExt+HUQ4LagaVqj0RgMBrPZTBppOTk5RUVFg4OD586dO3Xq1JkzZ8rLy6uqqmpra7u7uyfbWCTyhcK3ZbA1mAxu4a+fE8jr9Q4MDFRXV5MT4fz58+TUOH36NDkvWltbU1NTFy9eTE6c4OBgchJptdpxXunGMIxardbr9UbJrNxZDz744Nq1ax/1j7Hs/3rs0cfkr5KSkqSkJIvFQrZPTlVywCubAIDJ5NqR7kiMcaGjxOVXlVypf8XIZq/0YTjOLdxhqek50r8XYhDpSSmjc4z22FCykStFPmOMRCOjgQMx2tnjejnCSN6w6QfyXhm7ET9l/5W8/vYLqZc962u5JMhQ0hGZf6iRi5/Wnfg5phwlG1cq/WOut18BIPAhHAG4vUijy2QyJSQk5Ofnp6WlJSYmkiaf3W4/efLkX/7yl82bN589e5a0EifTWCTKb1eTf7ZXuEET8je0CeNwOOrr699777133nln165dAwMDZrM5KSkpNTU1Nzc3KyuLnDjcrU0ZEx0dTTZVdCXJyckWiwWZCEBguMKn1tjrQkZbziO9H0bDktE2/0Uu6qNwsXFu4Y5TsgLlJ7OSQKz7zgurpC4l8uAc8su67iU1o91mRvuXjBkh5Lqhg5IYHDwob0PZ96M9W5T9p2z78g4vVzXyrEafwMhEROQxxl6OdO247BLXCMGub+RH5qjxjlULAIEL4QjA7eXvg0HTarU6JCRk8eLFa9euXb16dUpKisvlOnfuXFlZWUVFRVVVVX9/v9vtVta5u0Z+HbgTf5aBaUnuM9LY2EgOfnIWEF1dXXFxcUuXLl2zZs3y5cvJMivNFXWL4QXZAtnOFckbv8XtA8Btdln7VObv3yj/Nd8/BMSFlvMlCfDIOJ5Xc6XI5ca2MF7+JMfvFhrXSs4gdcIY6Tby0oqRoV43/mBDrZKNXHfIkIsTA/++HPMabyg8v9C7RrFxpbSpS8vH88eWkWd14ekr47TcwkAtl7ybN2g0hlm3deSqoYMvpiEfAZjSEI4A3AmkMabX61NSUmbNmiX/VXzmzJnJyclRUVGklbhr1666urqhoSHSaCR4nldWuytGfh24uV8mYBK7pb+h3TpBEHw+HznCrVYrOeBPnz7d2NgYFxdHzou0tDRyUuRIyKkRFBSkrAMAMGokYlAa8/5g5OKrLcZ+yJHKyjgRSsv2wrUdI23mkRJ5u9KcKuPcwg0a6RVxK10ylRTk4KYt20a7jfhfe+oL3/E/O9Jsl/bK9bOREWSN0X1JduXIELXjNzYCGbmAxm9M+fivq1E681z3V4+R925ce3I03riccixdYyKdkUfyv5wVb42OquLfbTcwOzEABBaEIwB3mkqlysvLe/LJJ9evX/8P//APFovl//7v/44ePdrW1ma3210uF2lAKlXvJnQcmXJu7W9ot04QBKfT6XA4Ojs7yQG/a9euvr6+l1566Xvf+95XvvKV4uLisLAwpSoAgN9I69Y/LudIZxE//wwrVxgbU+ldITX7lVxDfGvFhVLlr/4jE+sq8YBUVbkYZZxbuEFKRnDp8Bw3ZiQdeXGl/3mNuXhm9PoTYjzZyIq3xgyf6k+YpF0p7+rx/+i/5OqdkSFCLnmNo3vu1WvnCSM/nyb0V4+RjSqHz0WUY+kaqc3YnIwYk48o20MfEoApCOEIwJ1GfqKyLMtxnFqtDgoKWrRoEWkZ9vb2vv322//2b//21ltvHTlyRKl6N9ztFjTcNrf0N7QJ0NzcvHHjxh/84Afke1tb27x589asWWMwGFQSclKQZ6BUBQDwfzLJY6OOklvyxFUyhtQX3h7NCaS6Uj2lbwUx8oNtbD2lppK0jHcLN4i0rInL05wbcuFZUBfPR5P6QqnSbr+o+OrkpyMZeU7Kz/7rvz4lBbnskZRtXvIaR3uUbFx5zZ8wI/Wu+/gjwdZ4UpRr/NBTjCNLGvOM/C/xQq40zn0NAAGFJp9jyuL00x934YM1pAVjT06MAwcObNmypbGxccWKFU8//bRSCldCzj5BEFwuV29v73vvvXfmzBmyEBMTk5ubW1hYSCoEBQVFRUXp9fpbHJbyhoyMy3bxCGhTC9nze/bs2bRp05tvvkluLl26dP369dnZ2eHh4XKFKWmkh/g1kKbALf7yfqmhoaH+/n5yYJN93tLS8vHHH/f09Oh0OnKQL1y4kOxzo9GIaXQB4CqUn0hT+QfSjZF2yMR/VI/8gLgNWx55D2/Hpq9n5BcaHEEAME74lRTgbiLNQr1eHx0dvWTJkscff/zJJ5+cPXt2U1PTK5K//e1v7e3tLpdLqX0n4aqaKWdC/oZ2oxobG7dv3/6Tn/yEHM9kITc3d+3atU888cS9996blpZmMpnQWwQArk7pjoB27Qhph9x0yLDNP1H/lTpwjAyKcpMdY67pyl1K7gjloQkcQQAwLghHAO4a/3UMEo7jEhISZs+ePXfu3Ly8vPT09BiJ2+0+evRoWVlZR0eHss5th6tqpqyRK8KJdf7L9S83ob+7Dg0NnTx58vz58wMDAxEREeR4TkxMJId3UVFRfn5+UlKSnIwQygoAAHBbSSOAbFx52WgZo5P7rkGGAADTGsIRgLuPYZjg4ODo6Oi4uLjU1NTc3NwSSVhYWG1tLWleNjQ09Pb29vX12Ww2QRBIM1ZZE2D8bv/f0Hiedzqd5Fgl2trazp49297ertFoioqKyPFcWFiYkpKSkJAQExMTEhJCypXVAADgDhgZUUUab3a0B8m25+VLLsfOPgMAMC0hHAGYRBiGCQsLKygo+KQkNzd3eHi4rq6uXFJVVdXV1XWbw5FLhmcHuAFer7e/v//8+fPyEUs4nc7ExMS1a9eS4/nee+8lh7darVZqAwDAnZX6QunImKKjU7jIw3IgGgEAQDgC04J0lW0gTLom/ZpCMwzDSjIyMh5//PEZM2acO3fuRz/60RtvvPHxxx8PDAzYbDbS5vR4PIIgKGtOFFxVAzfO6/WSA9Jut3d3dx89enTDhg2vvfbali1bYmJi5s+fX1RUpNFo5EOaHNvkCFdWAwCAO0/qRThmNt8x0/IAAExvCEdg+ji4aYuSjshhyWVxyUjx7Z3P9AaEh4fPmTNn5syZERERpGHJ83xzc/OuXbt27Nhx+PDhhoYG0iJVqk6Uuz3bKwSitra2EydOkMNy3759lZWV5CjhOM5sNmdmZmZkZMTGxpKjV6kKAACTwIXrLO/OWKkAAJMRwhGYBi7qDeFv4iszu1EHX3xmNB65MOEbtXHl5AkAVCpVQUHBc88998Mf/vBrX/ua0Wj8z//8z29/+9sbNmzYs2dPX1+fUm+CjOyqC91tL1CmgS2rnvQdcOAOO378+C9/+ct//dd//fnPf97V1fVv//Zvr7zyyr/8y7/MmzcvLCxMqQQAAAAAMIkhHIHpY92aFcpE/hccrKiR/t32/EgyIpk8AQBN03q9PiQkJDo6Oj4+vri4+LHHHvvUpz6Vl5c3MDCwf//+06dPK1Unwl2Z7RUCV1tb25/+9KeWlpbk5ORPfvKTa9euXbx4cWxsLDlcw8LCyKHLcZxSFQAAAABgEkM4AtOA3OIvyaI2PKMkI+u2XnS5rRKNlLxeUyON4z6amdx9NE2rVCqdTmcymUJCQjIzMx988MFVq1YVFBSQlidplJaXl1dKyLLD4eB5Xlnzptzh2V4hEJHDrKurq6qqihx158+fP3v2LCnMzs5esWLF8uXL8/PzLRaL0Wg0GAxqtZph8FMGAAAAAAIAfm2FqW/kUpFNP5CjkZLXay4ad6x2ww/kaOTtF1JT03Okskl57YhKpYqKiiooKCgqKiJN0IyMDK1WW1NTs0ly4MCB3t5ej8ej1L45t3+2Vwh05DA7c+bMX//6V3LUlZaWksMyMTFx9uzZ5LAk3xMSEiZxIBIwYzMDAAAAwB2GcASmPuVSkYMHpX/WbZX7PqRlSX1ESHPpVXl+/+9cXDzZ+Nt00kQ2spCQkKysrJycHJ1OVyYpLy+vkNTU1LS2trpcLmVNgInQ09NDDi35GCMHm3zUDQ0NFRcXZ2dnR0VFcRwnH5zkQFXWmaQCb2xmAAAAALjdEI7A9HLZPP4bV0pX1FxaPnmuq7kKvV4fHR2dlpaWmZmZLmFZ9sSJE9u3b9+xY8fx48f7+vp8Pp/cCURZB+DGkeOH53mv11tRUbFz587NmzeTw8xqtSYnJ5OjLiMjIycnJzY21mQy0ZN/jt5AHpsZAAAAAG4rhCMwnYyNQEYuoPEbUz6pr6u5GMMw8fHxDz300Pckc+fOPXDgwMaNG3/xi1+89957zc3NpEGrVAW4WaIo+nw+u92+e/fuN99885VXXtm/f39ISMi//uu/kqPu85//fFxcnE6nU2oHhoAcmxkAAAAAbiuEIzB9lLz+0tjeISNjj14yBIlyXc3BF1+d7H8yljv+MwzDSrKystatW/ed73yHtFdnzpy5bdu2LVu2OJ1OQRCUFQBu3ODg4MGDB9evXy+K4rPPPvv973+fHGaLFi3SarXygRcI19GMCOSxmQEAAADgtkI4AlOfkoIog4pcoIw9esn0K6M9SjauDKwRB6Kjo5csWbJ69er7778/JyfH5XJVVlYePXr08OHD586d6+zsdLvdSlWA6+nq6iovLz906BA5hMrKylpbW2NjY5ctW/boo4/ec889aWlpLMsqVQPHlBmbGQAAAAAmHMIRmAbkFOTiQUWubsVbyl+SL+lpMtmp1erg4OCwsLD4+PhZs2YtXryYFP7iF7/48Y9//Pvf//706dNWq1WuCXBdZ8+efeedd8jB87vf/a6tre1Tn/rUggULEhMTIyIiyGGm1+uVegFlaozNDAAAAAC3A8IRgMtcuUvJZCdfZUNotdqwsLCsrKzs7Oz4+Pi4uDiO46qrqz/66KN3332XfO/o6PD5fMpqABKv1zs4OFhaWvoXSVVVFTkHZsyYkZiYmJGRUVxcTJY1Go1ykEmUNQPT2AGIJIE6NjMAAAAATAiEIwBTDcdxBoMhJiYmMzNz3rx5JSUlCQkJVqv15MmT+/btO3ToUENDw8DAgFIbQEpGyBHS2tp64sSJ3ZL+/v6oqKi5c+cWFxfPmjUrLi7OYrGoVKpAz0QUYyOQwB+bGQAAAABuHcIRgKlJo9Gkp6evXbv2sccemz9/vk6na2trqxjR0tIyODjo8XiEMaT+Mpj3dzpyOBydnZ3nz59Xjo+KCq1WW1hY+Oijjz700EP5+fmBOMLI1U21sZkB4DbY9jxN0wtGJ/kGAICpD+EIwBQkXfTgn8hGFhcXt2rVqn/6p3/62te+Rpq7p0+f3rx5c11d3cDAgMvl8ng8oiiSavJayiZgGiBvvcPhsNvttbW1hw8f/uijjwoKCv5N8vDDD6ekpHAcJx9CU+PAmCZjMwNMR7UbFkg/wiYqzVDGZz64acuEpSOXpy3IXwAAJheEIwBTn8ViycjIWLBgwZIlS+bPnx8ZGWm1Wo8ePbpz5869e/eePXsWY7VOTzU1NeQA+PDDD8nB0NHRQY6TvLy8eyWZmZkhISEMM7V+RkyPsZkBpqHaLZvk6bknKs1Qxm+mctInaPSxkbTlwjBGl5cAAMDdhXAEYBrRaDSRkZFf+MIXCgsLt27d+l//9V//8R//8fvf/76trU2pAdPJRx99RI6Bl156iRwM5Nj46le/mpWVpdwHRGCOzQwwtYz0CbkKuV9X6qrHpevgpJm4/Qu3aGTi73VrJigZHUlvSrLSpNtXKgEAgLsM4QjANEJ+j+Q4LigoKDs7++GHH/70pz993333hYaGbtmy5bXXXnv99dePHj3a39+v1IYpx2q1lpeX//GPfyRvN+F0Ou+9996nnnrqoYceKioqCgsL02g0SlUAgMlgtE/IlY1EC6kvlE5klKl0HJmwbGRkgyWPrxp5gpeXAADAXYZwBGAaoWmaZVmdThcXF7dw4cIHHnhg0aJFycnJ3d3d5yRlZWWk8VxRUdHQ0ICUZMqw2+319fWVlZXknSXvr/xeE0FBQQsWLFi1ahU5DGbOnGkwGDiOU9YBAJgMRkf/WbdV6sl1idvTsWvbe/4LXiYwG1E2OOYqnctLAADgbkM4AjAdkVZxZmbmnDlzCgoKcnNzU1NTExMTY2Njm5qadu7c+de//nXXrl01NbgOeoro7e0lb+jf//73Dz/8sKKiQqVSkbebyM7OJsdAUVERORiioqJoDMcLAJPNhF/gMg7KY07cBS+Xv4hbe1nSSK53aaRo+bHv2sMDANxOCEcApiPlVxuaNhgM8fHxy5cv/+QnP/nII48EBQV1dXWVSyorK2tra4eHhwVBUFaDgMLzvMvlam5u9s/NK/UZaWlpYVl27ty55O0mMjMzjUajcihIlDUBACaJkatPrhFUKKOS3FpjfbTNTzb0qvyYN9yp48I2Lnkul7+Icbysq1N6nZRVXzr27JgXcdksOPJeurW5cfzbWCn3ePFP5HW1jV11PwAATHIIRwCmNbVaHRQUlJqamiPJzs4mDeaZM2eazeaOjo6PP/64ra3N6XR6PB6fz4eUJCCIosjzvNfrdTgcvb29Bw8ePHHiBHlDk5KSsiTkXZbf7sjISI1GQ35/VdYEAJikrhFUjIxKciErkBvn42+Y++uPtvlJq3+jtHxDnTqk6OHCNjauHPv4Iz1RLgwvcnnJ1cmv5rqpxiUvgjr4YtrYXaDspUtm85G2Pd7AZNvzaS+SbZS8XiPWvO4f//YKE+1ccz/c6PsCAHCnIRwBAIVKpVq2bNlXv/rVb3/72w8++KDL5frVr351/vx5q9VKmtkej4c0uZWqMIkJgkDeLKfTOTg42NLS8s477xw8eHDlypX/9E//9LWvfW3t2rXx8fFKVQCAyW3k8pNrUDphjOYnyhS5o2GJ0rGEuGIKQFrscmNeGdREmcL7Rjp1kEeQYgN5EyMbuEB5hmMCnstLrmbk1VzBmLUvfRFyeEFt/MHoK750L/ldY9uXIa9RegR5PiB5JJhLd9G198MNvi8AAHcBwhEAUJDfUBiJSqVKSkqS5zEpLS19+eWXv/Wtb/3lL3/BKCQBobOz84MPPnj11Vd/8IMf/PGPf5w7d+6XvvSl+Ph4g8Egv7/kjVaqAgBMbiNten8XhEvJbeqrjt7hjwH8DXC5ve538MW0S7otjDT5/c35t+T107KkXGE8wYVM6VAxugllAxeSg8sDnnFEPoqRbjHrvnNh5NnL1t72/KUvIvWF70jRxGjfjivtJWXb4+u+8qr0GkenSpYmOr94NNzr7gfFeN4XAIC7A+EIAFyK/M4ZHBycmZl5zz33aDSavr6+rq6u2traU6dOHTx48OjRo/X19bjKZlJxu93t7e2HDh0ib9Dx48erq6vb2toGBwd5ns/Pz1+0aFFISIharVZqAwAEhnGkCEp8cqWLYMZcBzLSj2Hje2Na4bUbnlGa/DVKqDCaGIy748iFYELZxMgGLgtXLt/iOB5DfnUlr7805tUpr3hk7ZEeGRdXUox007jCXrrqE73cyEOMjWguMf79cP33BQDgbkE4AgBXoFKpgoKCEhMTV65c+dnPfvbTn/60wWAoLS197bXX3njjjV27dpHWOMKRycNqtZ44ceLHP/7xq6+++u6775K3ZuHChU8++eQnPvGJnJwc8laSN5RGhxEACDAjHUfGktrUflLHBSU+uTxnWEe9JzXX122V6q1YI7fCx4xiOtJ8H9vkV3pIjNdoajASCVxpA8qLGJMSXF5yFfLQqxf17bj0WpgrvYrR3TLyEFeYm3jkiY4joRl9iCsEULJx7QfZ9d8XAIC7BuEIAFxK6q9Msyyr0+lmzpxZWFhYXFw8a9astLS0uLi4sLCwvr6+LVu2VFdXkza5sg7cJQ6Ho6mp6dixY3V1dTNmzIiPj09JScnOzi4oKCBvnJyMyG8ooawDABBQRvMQv4sv5rg8PlFKpGFVx/QJUa7yuDCIqNLkH9vhYqT7AzGO/hSjCcCFTYzZwERQIo4Lz2V0VA9CKVVe7sUZxyVxxuUJ0o080etnI+PaD+N9XwAA7h6EIwBwZQzDqNXqsLAw0uSOjY2dOXNmfn5+SUlJXl6eSqU6fPiwfO1GT0/PwMCA0+lUVoM7wuPx9Pf39/b2tre319TUVFVV2e32efPmLViwoKioKCsrKykpKSYmJjIyUqfTKesAAASW619Vc0kPCWLMOqMjZPjJY4iO6aJwafcNefyRknXr5DFHxuGSBx8dwORil7+I67+si8lP+eJxOq5lZPSPSy+0GXmpyhMlP9ClmzfJP/fMxcO+XHM/jPt9AQC4exCOAMD1sSybkpJyzz33fPKTn1y5cmVCQkJdXd358+fLy8srKiqam5sHBweVqnBHOByOhoaGyspK8hYQbW1tZrP50Ucfffzxxx988MGMjAxyU6kKABCgRrqFXIg+rm9knYub4MRIF4UX0/wd6S4ZAZS09P2BwrqtpS9lSQVSW52UXmsmlbGdNmqVPh3rtiqjaExEY18JDuSnLG2+5PUaZSaakW4gIy9LmaPXH6HI0YRy3coY0lO68ETfftxfeP0uG5fHF/4H8T+Kcr3PuPbDzb0vAAB3FMIRALgB5DcXg8FQXFz8wgsveL3ev//976+99tof/vCHY8eO2SUul4vneVEUlRVg4pAd63a75f1cXV39m9/85n/+53/++Mc/trS0zJ0798EHH2RZVqkKADCtjDbcRzooXNoE98/g8rYcK0gRw1srlNEu5HlwpJ4U0rUeqase99eS2uorN15zKpexzXolERDfWnGh9OJg5fK05PKSS61468KEuGTj0jVFSsowEhiNTkwjhwvS8/C/lJGJa/zGviapgvRSldKNK68XSCh7SnmEkQchz0dJX8azH8b/vsiLAAB3A8IRALgB5JcijUYTFxe3cOHClJSUkJAQnU5ns9kqKiq2SI4ePdrX1+fxeJQVYOKQHVteXr5161Z5P7tcLo7jgoKCEhIS5BFhGAYf6QAwrSgN/At9S5SCK4YaqS+USqOWKI36S5MHpak/kjaMbf5f2ZhmvRRHyHnEhfXlJzXS8eJCF43LS65OmjNXosQGSsowZvwQUuXCC7nopYwir3y0iv+ZyveP7LzrhjQr3lK6qyj8DzEmfBnPfriB9wUA4K6hyUeRsjj99MeN/mChQlowENTEOHDgAGm5NTY2rlix4umnn1ZKYcoRBGFwcNApOX369O7du8n7TsqXLFnyla98hTTUg4OD5ZqTEPnc27Nnz6ZNm958801yc+nSpevXr8/Ozg4PD5crTE5Hjx7dtm3bb37zG57nZ8+e/aUvfSk2NjYoKEir1ZpMJvJdqQcAMEVse166euP1mkBuNstXmox9EZeXjJty2UqA7xIAgMlpev2ZcWwaAgC3gpaurwkODo6IiMjMzLz33nufkaSkpOzZs+fw4cMNDQ1KVbhlPT09u3fvPn36NMMwTz31FNnPDz/8cFpaWkxMTGhoqMlkUqlUSlUAgKlD7jcR4DGA3DFi7Iu4vGS8RqbYudbVPgAAcJOmUTgiJyPkOyISgFsnX1+j1+tJyzw2NnbOnDmrJFlZWUNDQ/X19fJAoZWVle3t7RiF5CZ4PJ7e3l55N8rIjo2Ojl6xYgXZzwsWLIiKirJYLOQt0Gq1GG0EAGBqkUY9vWQ4EGQjAAC303QJR8YfiMjpCQIUgHGiaZo00ZOSkooleXl5KSkpNpvt+PHj77zzzubNm0+fPu31egVBUFaA8XE4HDU1NX/961/JbtyzZ09vb29oaGhOTo68nzMzM41GI8dxSm0AAJh6Nq4cM19O7YZnpOFW130HV9QAANwOGL3vImMzEeQjADchKipq8eLFsbGxLpdL6fAwoq6uDmO1XtfAwEBTU5Oyy0b09PTMmDFDHnWVpmmlKgAATFkjg6heMkkMVfL6S5jRBQDgtpim4QiCD4DbxGg0JiUlZWRkZEsSExOdTue2bdvef//93bt319TUWK1WnueV2jCGIAher7exsfHgwYPvvfce2V3t7e2ZmZnyniTIzgwNDSW/ICsrAADAVCYNuTJ2JhoMxAoAcDuh5wgATDCWZQsKCj772c+uX7/+H/7hH6Kion75y19u2LDhN7/5zeHDh7u6urxer1IVxuB53uFwnDp16i9/+cuPf/zjTZs2uVyu//f//t/LL79MdmNJSckkn0wHAAAm3oXJfAkkIwAAt9F0CUduYqZeTO4LcItomjYajQsWLPj+97//wx/+cO3atX19fbt27Tpy5IhSA8aoq6vbsGFDa2vr3Llz/+u//utb3/rWww8/jJFWAQAAAADugGnUc+SSsOPyK2twrQ3AhNNoNElJSStXriTt/AULFoSHhw8MDJSXlx+QlJWVDQ0NTeeOJOTl19XVyXvj5MmTbW1tZrM5Pz9/9erVy5cvz8nJwUU0AAAAAAB3AC6rAYDbhTTsWZbV6/Xh4eERERFpaWmLFy9OSEhoaGh4TfKXv/ylpaXF4XAo/YWnzXS/yqsVRfLyd+7c+aMf/YjsjX379hUVFRUXF+fk5ERGRoaFhZlMJoQjAAAAAAB3wPQKR65xpcwl3UZwTQ3AhDMYDAkJCRkZGZmZmYkSURQPHTr0wQcfbN269fjx44ODg0rVqe7cuXNbtmx55513yMvv7+8nu4XsjbS0tPz8fLIQFBSk1AMAAAAAgDsCPUcA4A5Rq9Wk2U8a/7m5uQslMTEx9fX1R44cOXjw4JkzZ1pbW61WqyAI4hTtQuLz+ex2e3d3d1lZGXnJe/bsIS9fo9EsWLCA7I3CwsKkpKSwsDCdTocOIwAAAAAAdxLCkStAtxGA24S0+SMjIwsLCx+TzJkzx+FwNDU1nT9/vqKiorKysqOjg+d5OR+RKWsGMuWViKLX6+3r6ysrKysvLyevl7xq8vLj4+MfffRRsjeWLFkSEhKiVquV1QAAAAAA4E5BOHIpJCMAd0xKSsqzzz77jW984+mnn05MTDxw4MC2bdsGBgZsNpvL5fL5fOKUCEfICyEvx+FwdHV1HTx48Ec/+pHRaHzuuee++93vkpc/d+5c9BMBAAAAALi7EI4AwF0TEhKSn5+/YMGCefPmZWdnm83mzs7Ojz76aMuWLfv27auvr3c4HErVQNba2nr06NHNmzfv2rWrpqbGZDJlZGTMnz9/yZIl5OXHxsYiHAEAAAAAuLumXTiCjiEAk1BoaGhRUdETTzwRFRX13//93+vXr//Zz3528ODB3t5eYUQA9SKRrqERlectCCdOnHj77be//e1vv/XWW1ar9T/+4z+WLl0aHBys1AYAAAAAgLuNffnll5XFacP5k58qS5dBdHLrmpuba2pqBgcH09LSZs+erZQCXBMtTfqrUqk0Gk1QUNCsWbNiYmLsdnt5efmJEyeqq6uNRqPJZCJ1lBVuWWNjI9n48ePHyXJSUtKSJUsiIiIMBoN87y1yu939/f1bt27dsmVLaWlpT08PeVHkdCiQZGVl6XQ6juPIq0afEQAAAACAyYAOoD/GTqBLJu4dhXDk1h04cIA0CEnLc8WKFU8//bRSCnA95LPI5/P19/e3trYKgtDd3V1ZWdnU1OR2u4ODg+fPn5+ZmTljxgyNRsNxnLKOtBapabVaSTWlaBzIWseOHfvwww/feecdcrO4uPhLX/pSSkpKSEiIXGH8VCqV2WyOiooajTlsNht5SuQU2LdvH/lOSmbOnJmampqQkECePHktcXFxyEQAAAAAACYVhCMXIBmZEAhHYEK0t7efOXOmpqZmYGCAfEwRycnJixcvjoiI0Ov1ch2apnme3717d0VFRW9vr1w4HmRrTU1NZK0TJ06QmwmJCWTL4WHhN9FzxGKxZGdnP/DAA8rtkT4px44dI0+PYfyXLs6aNSsrKys9PR2ZCAAAAADA5IRw5AKEIxMC4QhMCKfTOTg4aLfbrVZrX1/f7t27aZqeP39+RESExWIxGAyhoaE6nc7n8/3sZz/bs3tPR3uHWq2mOVqgBI7iRErkKZ6hGJry5xGkkCywFOujfOQmLdIOh8M6bO0b6COVDXpDUHiQVq1VcarRyipK5aW8ZDtkI6SQLMhbJstkI/7N8pTP67MEW+69996vf/3rvb29Q0NDbrebHPx1dXU1NTX3339/Wpr/o4Y8YZPJZDQaEY4AAAAAAExO03S2mstzECQjAJOKTqeLjo5OTU3NzMzMysrKyckxGAynTp36SHLixImenh6Px+N2uzs7OzvaO+yDdpEXaZb2sT4Vq9KwGpH132RZlmM5eVnP6hmWIcscxwWZg2JmxKTnpM/OmZ2anKoz6dQaNalJvgRWIJUNrME/xAn5T9oCWZFneTWrJlsmFfzb4UWn1dne2k6QZ1JWVvbxxx+/++67J0+edLlc5AmTp02ePBETE2MymZCMAAAAAABMWtO05whxSecRhCMTBT1H4DbZs2fPa6+9VlVVpdfr582b95nPfCY7O9vr9b766qtnT5wN1YcmpidqQjRWyhpNRdMU3Uv1aimtilKRZRtl01CaSCqyk+r0UB4DZWApliyQyqSQVOihevSUXk2pyQORQlI5lortoDrclJtshFTwUl47ZZe33E61k8qeQU9XY1ddR11uQe53v/vdn//85x9++GFtbW1JSckjjzzyuc99Tr6mBgAAAAAAJj+EIwqEIxMF4QjcJm1tbadPnx4YGBiSdHR02O12QRBOnTolesTMxMyx4YiO0rkoF/mSr6PRUBpSQr46qA45HNFTepESHZSD3KQpWk2pyb1kgawyGo7YKbuTcropN6nJUqyW0pIVyc2x4cjxiuOUiioqKoqPjw8NDdXr9dHR0UlJSZmZmegqAgAAAAAQKPCHTQAIDOHh4SUlJQ8++ODSpUszMzNZlh2UuFwunueVSgRN+ft/qCmGVgYcESmRLNAsTWkpNadW0SqBEsgXS7FG2sioGUEt0P4kg2YohqM4f/8RlhrWDTMco6E1ct8Tsh2yQf89albH6EhNH+VzUS6v4CVPgDyNhISEJUuWrF69esGCBUlJSdJTAQAAAACAwIBwBCaev50pUW4DTAS1Wh0cHBwWFpaQkJCfn79mzZpnnnnms5/9bG5uriXIIlKi/4sWKZaijJTX6B3mhnmaZymWozgn47Rr7UKwYNAaDIxBoAR/nxHao2E1FpNFZ9I5OIeTdvIUr6N0RsZIa+mukC6H1sEyrJEyaiiNQAtD7JDX5FWZVcFcMMdw8lU5GqMmJyfn6aefLikpSUpKCg8PDwoK0ul0Vzz+RVEUroLcNXqvvKysAwAAAAAAt9/0vayGGHtlDS6rmSiVlZUnT57s6enJy8tbsmSJUgowcXw+n9vtdjgcXsmPf/zj06dOmwym1PRUc6jZx/i0Ri1DMV67V82rGdHfxcPBONQadYQhwulwutwuL++lKZqjOTWjVpvUbsrda+vV83q9qNdQGlLZrXHzZl49rFa71WQjpIKTdpLyaFO0htbYbDaPz9M70NvY2NjZ3jknf853vvMds9ms0+k4jrtGLEhWbG1tPXv27NgPXpVKpdfrZ8+ezTDMmTNnQkNDo6KiYmJiEC8CAAAAANwxCEcuQD4CEHC8Xu/3vve90kOlnJqbmT4zNCSUoRmfxj/VLufhdIJ/GBG5i4eKU4Vpwuweu8fnoUY/9mjKrDX7KF+Pu0craOUBXJ2UU1AJKq3K6/YyXkYrauUraOy0PVITqaJVw55hURAHBwabG5u7urvmz5//yiuvXHv4VZ7nPR5PR0fHmTNnduzYMfaDV6PRBAUFLVu2TBCEv/3tb9nZ2Xl5eQUFBRjPFQAAAADgjsEv3wAQ8ERK9FE+gRJoilaJKt7F+1w+VvDPxMtRnDyMCO2jXXaX2+v2if7ohHyR+i7R5XQ6vU6vSvAPLEI24qScHsojekXtsJbyUF7RK4/qSu5Vi2qyWZfT5ebdgugfskRFqZhxfIqKouh2uwcGBurr68+fP199saqqqsrKyvLy8qNHj27ZsuXkyZOdnZ3TObYGAAAAALjz0HPkAvQcAQg4cs+RI4eOGNSGlPQUQ4h/NhkTZaIp2kE5tJS/M4iG0pBCcnOYGjZSRo7yDxciD8hK7rJRNrIdUk4KeYoXKZGsQhZIZXnGX580342/Mq0ZEodIBQtlIZV7BntqG2sHuwcXzl947Z4j5El2dHScPXv20KFDLMsuW7ZsbGV5PNddu3YdPXq0qqrqscce+8QnPrFy5UpSU6kBAAAAAAC3GXqOKJCMAAQuOebgWI5SU269W8WqdJRORal4ivfQHh/n47QcrfHHJf4OIJRaS2k5xl+Z1/M06y/RU3qyEYEWBE5Qa9VajZajOLJlUboCh1TWqDVavdbLer2UV94CeUSyCtmg9BSupaWlpby8vKKigmGYtLS0BQsWLByjpKSksLAwPj7ebDZzHIeraQAAAAAA7rxp/Vs4AhGAyW+8fdtoilJRlIGigv3z+GooTSgVqqJUbtY9qB30mD3+uySk0EyZ9Wo9KRkKHjKpTaSmmlL7L5BhKUpLsWbWaDDGUDGksotysRRrVBkNBoO8ZULuXWKhLMFUMNmav+gqBEHw+XwnTpzYv39/Y2Pj4sWLV61adUn8odVqY2JinnvuuS9+8YszZszQ6XTKHQAAAAAAcKdM9z9RhrTUyF/KbQCYZBzKv9cjUv7LX1wUNUxRXv9/Q9SQj/IxAsN4GKfDyTv5MCpMoAQ7ZXdTbs7H6V16w7DB6XVaKSup6e8kIlCUhxIcgtPp7KP6yFbVlJqs4vQ53S43N8yF+EKMlNFG2Zwap9fgZYwMzV2r50hra+uf//xn8j0yMvK+++5LTk72hywXo2ma4ziLxRIUFKRSqTBJDQAAAADAnYf+2wAwqXmUf6/Ff/kM5fHxPlJb5VSRBRfl8lJegfL/R/kowSWwHtZMmUVKdFNuUpmsQ0pYJ+ufR4bykPqkqj9J8TFel9ft8deRR3Ilq3gEj9fjZZyMilex0igkHsbjYf0X7Ij0tbq29Pb27tu3r6+vLzQ0NC8vLzIyUqPRXBJ/kJsMw2i1WlInLS0tJibGZDIp9wEAAAAAwB2BcAQAbpNtz5N2P00/v025fSVynWtV8Y+Gej08xTsoh1f0Mjyj9+o9osdJOWlpShqREkVBVPlUOl5nkC6t8VJeH+XjRd7Py7Oif9xTO2UnG2EplhVYt8/t4T0aSqOjdHI44hN9Xt4reASv4CXVOIojq7p8LrvPTu6SnsKV2Wy26upql8tlsViSkpKMRqNyx5VEREQsX748Pz8/JiaG7BSlFAAAAAAAbj+EIwBwe9RWl0n/bvzBhlpp4TLbnqdXbvQvXL2Kf7DV6/PnF9J1MRzFGSj/hDVu2q1hNSzD0rR/yl5WmtPXX5V85pEt0hSpL09ho6W0BtogsAK5i1RmKIYfmbOGYziWZcl3UkhKXJRLntaXbIr20ryb97q8Ai9IT2EChIeHL1u2LC8vLzo6GuEIAAAAAMCdhHAEAG6PmoqD8sLBTVuuEH3UblggJyN+OempytJlNMq/1yLPQaOhNP45ayiOp3iBFVR6lVaj1XD+OWV8lM9LeUVK9G9O6x9KRGAEUki+VJRKx+q0ei2jYUROlBMWskEn5fRqvLSW1qv1asbff8RG2Ug5ude/KVHkeE7tUzPihH2KGgyGpKSkqKgok8mEcAQAAAAA4E5COAIAt9sV0pFtz6e9eJCiSkpK/LdKstKk0isZz9wtakptoSzkS0tpBUrwX1Cjohkzo9PrdCodR3EOyjFMDfsoH6WnaCMtakWR9Y8VwlAMqaxSqYLMQZye86n8cYmO0rEU20l12nV2UtmoNWpZ/2atlFVP6Q2UgWyNrEseK4gKIg8tPQUAAAAAAAhgCEcA4LbY9t5ovxDq4IuvXjSqyLbnpU4jJa9/53G54Bpsyr/XIUojrQ5TwwPUgIEyhHpCVf0qp8057B72UB49pZfzDmaY0Q5pfQ6fx+chJRFUhIbSuD3unv4er82rdWtDqJALeYeN8gx5Bh2DDt7BUAy5i2zfSlnNlNlEmbT+LigAAAAAADAV0KJ4rakWAABuSu2GBf6+ISWvv57z4osbKWrdVvGtFfJdylAj/hLqwqJy52V6KSpMWbwCr9f7ve9978ihI3q1Pi09zRRiclNuHaUjX1paO0QNOUWnQAnyPDVWyqqhNAzN+ERlgBI9pSdfLsrVRXdpKa1O1JGbHspjp+zD1LCRMnK0/yIdmqY5htNy2k5PpyiIkVQkS7EDgwM1jTVt3W1z58995ZVXGOYKWfO+ffu++93vFhQULFmyZNWqVVesc3MGBwfr6uqcTqfPN54ha2+GWq0OCgqKiYkh35UiAAAAAIApCuEIANwOFxKQNe+NDUCU0ES+OZqg1JS+cLVBR3ooKlxZvAI5HCk9VMqomYz0jPCQcI7iXJSLfLdQFhtlI8siJYZSoSpKRZblWWnIMlmXlJPlECrER/k6qU49pddSWnIXqUPuJTcdlEOgBLIpnUqnIvfoqLahNtEtRlPRXsrbPdhd1VjV392/cP7Cq4Uj+/fvf/nll/Pz8xcvXrxy5UqW9Q8Qq9x3GfJpLAj+4V1JHZlcfkVlZWVvv/12R0eH3e5/tjeEPJBs9FGu+FghISHZ2dkPPPAA+a4UAQAAAABMUbisBm47ebLWBVefjgSmIOWiGv9gIivWrPMvbnxvm/9gkJIRat1WqafI6Jitt4imaJZi5TllfIyP0TGiTrQzyuy8HMW5abdX5dUZdaJa5Gme1NdQGjWlZhjGrre79C4doyOFPsrnolxkc5Sa8pg95LuKVvmHIBFZH++z++xaUaultE7K6aE8ct8T8qDKk7iSsLCwJUuWWCyWjo6Oo0eP9vX1KXdcSXd3944dO06fPk0qK0VXp9VqY2Ji4uPjE29cRESE1+s9ceKEw+Egz1ApvUxcXFx4eDh5IOUhAQAAAACmLvQcgVsxOhWr31UujRipc60rJ2CqUd51pUvIRcfJaOklvUjk+y43nstqDh86rFPr0tLTzKFmnuE5IyfSIm/jOZ6jyRIlkkKNRhNsDO62d3vcHi2v1VE6mqbdjNttdvtjjmHOPymvKOUsDMtreafZqR3Wal1aUpms7uE8Ts6pcWsonnIyTlZkbQO2lsaWju6OefPnXa3nSG9vb0VFRVVV1dDQkNFonDdvXkpKClkY21NDEASe5202G6m2ffv2tLS0rKysWbNmXfsanJ6enrKyMrIW2QNK0biRdY8ePfrb3/72E5/4xOLFiyMiIq74WFqtNiwsLDk5mXxXigAAAAAApiiEI3CTRtq1F7u8lTtS75pXTsAUc2nqMTYdGXOMjOeqGmqQoq4x4oUcjhw7dMyitqSmp+pD9TbWZggykLucQ069T8+KrH+iGcaq0quiLFGD1kGPw8PyrJ7Sq2k1xVK9wb0+ymcYNPh8PvJ5yFKsltE69c72kPaogSizw8zx/sluXJTLS3nDqXCBEdpV7XpB7+nzdNV3NXY3Fs4vvFo4ItuxY8epU6c6OjrmzZs3e/bs9PT0seEIeQkul6umpobU2bNnT2Fh4VzJtcORW9Hc3Pzee+9985vf/Na3vvXkk08mJSXdvscCAAAAAAgI+IUYbgJp6tJKMkJaun41r0szslIbVz5/0awkFy6cyElHMjJt1G7ZJL3rozP0rnhJOUAuTs/GdVWNXvn3OkRKVFNqg2iw8BbnkJN8mXwmclNDafx3CxTtpMVe0eQwGQQDT/F2yu4UnRzPBQ8FG4eMDp+DHMdaSmumzJzAUU6K6WHId6/gtVJWJ+VkKTaMCvNPZKOiKAtFGfyX3ozT7NmzFy1alJaWduLEiR07dgwPD9vHGBwcbG5u3rRp05EjRx555JGlS5fOnDlzbHoCAAAAAAC3G8IRuFEXOgH4gxGlpZv6wttK67es+opji4w2k2EaUEKPksdXjSRiqS+USinaJf2KxsM/Qun18BTvolxuyn+BjFbU+rw+8qUW1eSmj/KRLzWlpnl62D0s8qLcl8RDebyUlxIp3sMLHoERGXkUEpqiyV0CL1icFspHtugm1ch25E2R7+Q/8nj+r3H3uouIiEhLS8vJyQkKCurs7Ny8efPfx9i6dev+/ftdLldCQkJBQUFqampISAjCEQAAAACAOwnhCNwoZXjNktdrLmroXqUTQG11mfQvOo5MI8pgrNd900cOjoMVNdK/VzaeuVg8lGeIGhqkBu2UXQ4ySCH5Ls/IK0/uy1FcF9VFbvozEYkckfRRfaTQRJkMlIHUcVAOsily1wxqBqnjolwsxaooFU/xPVQPuSl4BGqAEm2i6PY/kPxY1xUUFDRnzpwVK1aQhe9///vfHePHP/7xu+++u2DBgi984QszZszAAKgAAAAAAHcewhG4YSve8ncBuHiQiNoNP1B6k3zn4sEjJmo6EggcI5nHBPUWGk/2wFGcntLLEcYQNaSjdBbOojapaR0tqPxdT0gFA2UIoUJ4He8yuFgNq2JUAi1YWavOpNOb9A7W4aSdbsotUILACJSW4kI5o9aoZ/SkhGyWoRiyBRtlI19GwciKrJzIjEYt18YwjDy/zNy5c5955plnx3jqqac+8YlPZGdnBwUFcRyH4T8AAAAAAO48/BYOE6B2wzPyCCQlr7905csmcFXNNJKaniP9e93eQqmrHpeuxbr20TGecISlWR2nU3EqgRGclFNDaXSMjuf8l9AwNCNP8Uu+mygTKfFxPoZh1LSaozgv7aVVNKNi/PPRUB7yxUuz/6rIf2qW4ziyZbJ9mqY5ltOpdS7G5aJcWkqr8g89QikX2owDeUSytaCgoPT09AcffHDFGMuXL1+0aFFsbKxWq2VZFhfUAAAAAADceQhH4FZdmLZm3dbL5hzBVTXTkdy3aBzjiygjkdz6NEYMw6jUKkbDCCrBLbpZkaV4yua18T6eERhy0yW6PKJHI2oEn+Dz+mieVgkqtaBmeEYeoMS/IPpIHfJdK2i15JtH8JI7BB8lUiqyebVapVd5Ga9X9HIipxbV5ItsmRZvIMvQaDRRUVEFF8vPz8/OzrZYLEolAAAAAAC44xCOwC3Z9vyYaWtuYrBNgOvx99y4Hi/vHXIN9Vp7e/p6+rr7urq7WjtamxqbOls7e9t7SUlrd2tTd1N7d3tPS09vc293W3dvZ29/d7+1y9ra2Eq+hjqGert6O7s7O7o7BroGBlsH22vbm1uaWztbe7t7B3oH+vr7Ogc7e4nuXrJ9sk1br81r9Qq+8YwYCwAAAAAAkxotiuPqEw5wmYumrblKMKLUKXm95tZ7B8D0ZJemzb0ar9f77//+77v27Bq2D1tCLSzHetweI2Ukd9kpu4pSsVK64qE8ZMEgGqy81Sf4SLmaUjMU46N8NspG07SZNfton0ALIiXKw5eQtYapYZ7iSU01p2bUjKAWrHar6BVNlIlszePy9A/1k4r3Lb/vhz/8YQCNFdLc3Pzee+9985vf/Na3vvXkk08mJSVhoBMAAAAAmOYQjsDNuJCLXDv2GLnkBt1K4Dbxer2vvfbaBx98UFNzrSlvZOTjzm63u91uQbiou4dKpdLr9Tc3GGpcXNzDDz+8fv16hCMAAAAAAIEL4QjcoAtDjFyTHJqMhChXCEeU7SA2gVsiCMKZM2eampqsVqtSdHXk4+5vf/vbsWPHOjo6lCJJZmbmI488MmPGDLPZrBSNm8FgSEhIKCgoCKCBVBGOAAAAAABcAuEI3IhxJiMj2cg4quOCG7gl5BPM4XC43W6e55WiizmdzsHBwba2NpvNRiofPXq0vr6+v7+fFPb09LS3t5M6Cxcu/Jd/+ZeZM2eGhYXJa40fwzAajcZgMCAcAQAAAAAIXPiFGG5A7ZZNStRR8noNaWhenRx41FRcL0gpeXwVkhG4BTRNGwyGkJCQ8IuFhoYGSViW7ejo2LFjxx/+8Ic//vGPZrN5zZo1//zP//zJT34yNzdX3ohKpSI1w8LClJVvBHkgo9GI+XcBAAAAAAIawhG4ceu2jnPy1RVr1ilL/nWuBL1G4Pbo7u7es2fP+++/v3379srKSp1OlyjJzs6eM2dOUVFRRkZGRESEUhsAAAAAAKY3hCNwA1JfKPUnGuMfJGTFW1IEQmBgEbi9yEHmdruHhoY6JfX19cePHy8tLT179qzVak1PT18iyc7Ojo+Pj4qKCgkJ0ev1ysoAAAAAADC9IRwBgAAmZ28ym83W2tp6RlJWVlZTU1NXV9fX16fX6+fPn79GkpGRcROjrgIAAAAAwNSGcAQAApvH43E4HDabraqqauvWra9Kjh8/vmzZsn/8x3988cUXH3nkkZiYGKU2AAAAAADAZRCOAEAAE0WxoqJix44d77777tGjR/v7+2MkycnJ+fn5xcXFc+bMSU1NNRqNygoAAAAAAACXQTgCAIFHFEVBEHw+n9Pp/Oijj376059+//vfP3DgwIwZM/5d8txzzyUlJRkMBmUFAAAAAACAq0M4AgABaWho6OjRo//zP/+zc+dOq9U6a9asRYsWFRYWyjPsWiwWlUrFMPiIAwAAAACA60PLAQACks/ns1qtzc3NKpUqKioqPj5er9c7HI6Wlhav16tWq1mWpWlaqQ0AAAAAAHB1CEcAICBxHGexWJKTkxctWlRcXBwcHNzc3Hzo0KGdO3e2tbW53W5+hCAIoigqqwEAAAAAAFwG4QgABCSj0ZiRkbF27drHHnts4cKFZrO5o6Oj/DLV1dVtbW1Op1NZDQAAAAAA4DIIRwAg8NA0rVKpgoODU1NT09LSMjMzc3NzCwsLZ82aFRMTU15e/v777/9FsnXr1qNHj/b09HgkPp9PEARlKwAAAAAAABKEIwAQ8KKiopYvX/6lL33py1/+8kMPPdTQ0PC73/3ul5I//OEPO3bsqK2t7ZU4HA6e55XVAAAAAAAAJAhHAGDq0Ol0M2bMePbZZ3/wgx+8Ilm3bl1CQsJf//rXb0h27tzZ3d2t1AYAAAAAAJAgHAGAqUOlUlksljlz5tx///0rJEuWLMnOztbr9V5JTU3NwYMHP/744xMnTrS2tiqrAQAAAADA9IZwBACmDoZh5HwkbER8fHxeXt7q1aufeuqpJ5980ul0bt269Y033vj73/9eVlYmryUIgtfrxXAkAAAAAADTFsIRAJjK1Gp1WFhYVlZWkYQspKamJiYmRkVFmUwmuU53d/eePXvOnj3b0dEhlwAAAAAAwLSCcAQApjKO4/R6fVhYWJQkJydn3rx5S5Ysyc3NjYmJkesMDQ2dPXu2vLy8tra2o6Oju7vbarXKdwEAAAAAwHSAcAQmmDiGUgQwOdA0nZmZed999z3yyCMLFy5MSkqSy10uV1dXV319fUVFxenTp8n39vZ25SAeQ64MAAAAAABTD8IRmGCCIHg8Hrfb7fP5lCKAyS0pKenZZ5+Njo4+c+bMK6+88otf/GLHjh32MZxOp9frVWoDAAAAAMCUg3AEJlhvb29ZWdmRI0eampqUIoDJzWw2Z2ZmZmRkpKWlxcfHBwUFdXV1/WWMvXv31tfXK7UBAAAAAGDKQTgCE6y5ufnjjz9+5513zpw5oxQBTHo0Tefn5z/11FPf+973Pve5z1kslv8a47e//e3hw4cdEpfLxfM85rUBAAAAAJhKEI7ABPN4PDabzWq1kjakUgQQCLRarcViiYiISEhImDdv3rNjZGdnt7S0vCr505/+RJadTqeyGgAAAAAABD6EIzDBRFH0+Xxer5fneaUIIBCoVCqtVqvT6YKDg9PS0h4YIzc312g0Nklqa2vPnTt3+vTpsrKyxsZGu92urA8AAAAAAAEL4QgAwAU0TWs0mqioqDljzJo1a+bMmUkSlUp17Nixbdu2ffjhh8ePHx8YGFDWBAAAAACAgIVwBADgOgwGQ3R0dLYkIiKip6enrq6upqamvb0d19cAAAAAAEwBCEcAAK7M5/PJ81L39/c3NjaekHR0dMTHx+fl5c2ZMyclJcVoNCq1AQAAAAAgYCEcAQC4Mrvd3t/f39PTU1VVtXv37l9LysvLlyxZ8vnPf/75559ftWpVdHS0UhsAAAAAAAIWwhEAgCvbsWPHj370o2984xvbt2+PjIx8RfKlL30JHUYAAAAAAKYYhCMAAH5tbW0nT57cMUZdXd3w8LAgCEFBQZmZmfLMNUVFRSEhIWq1WlkNAAAAAAACH8IRAJjuBEFwu93l5eUffPDBL/7/9v4E2K7jOsyF97z3OedOmEmQIAgQ4AQQ4ByTlERRk03Jlk0pkl2OIznlV9ErJ/+z4/f7Ka6kVPqrXiWO40qs9ypVHlSxFFuRSUfyIFGiJIoSFVEcLYgDQIoYCAIESEDAnc605/1/q/vci0tQsiWZZngv1odTl+f06V69eq3uzb369O5eQp7nt9xyyy/90i+9853vvPbaa9capqamwjD0PL14KoqiKIqiKMrKQe/vFUU51zl58uT9999/8ODBqqouXsKOHTuuu+66G2+88Yorrli/fv0ot6IoiqIoiqIoKw6dHFEU5dwiz/O5ubnZ2dl+v29T+Pjkk0+mabpp06Y3L+HKK6+88MIL169fv2rVqna7bTMriqIoiqIoirLy0MkRRVFWMs0rGAwGL7zwwpEjR06dOmXzZFnG+8nJyd27d797CZdffvnExITNoyiKoiiKoijKCkYnRxRFWck0TVMUxXA47C9w+PDhL33pS/fcc893vvMdm+fiiy/+4Ac/+Pa3v3379u02RVEURVEURVGUcwqdHFEUZSVjZ0O+8pWv3LXAN77xjenp6SRJxsfHbZ6JiYnLL79806ZNU1NTNkVRFEVRFEVRlHMKnRxRFGUFUpblYDDo9/svvvjiY4899olPfOI/LvDlL3953bp1b3zjG2+44YZRbkVRFEVRFEVRzm10ckRRlBXIkSNH7rzzzv/yX/7Lpz/96YMHD95www0fXOCOO+7g48aNG1ut1ii3oiiKoiiKoijnNjo5oijKSqBpmvn5+eeff/5vDE888cTBgwf5ODMz02q1rrvuup9c4JZbbtm2bdvU1FQQBKPCiqIoiqIoiqKc2+jkiKIoy5imaaqqKg0nTpz49re//ReGPXv2tFqtCy+88LLLLrvyyit37dp1zQKXX375+vXr4zgeiVBeDaY3bV/6GqUqiqIoiqIoyjJBJ0cURVnenDx58sCBA3tfzmAwuOGGG95luP7661etWjXKrfwD8MrZEJ0iURRFURRFUZYXOjmiKMqywa4TyfM8W2A4HH7nO9+5++6777zzzr/5m78hzy2GG2644Yorrti2bdtFF120fv36JEmsBOXVwk5/6CSIoiiKoiiKsjLQyRFFUZYTw+Fwdnb25AInTpx44IEH/uIv/uJTn/rUs88+u3nz5v+v4f3vf/+mTZva7faomPLq8cNPiOi8iaIoiqIoirJc0MkRRVGWDXVdP/LIIx//+MftDAj81m/9VhAEH/zgB3/nd37nQx/60E033TTKqvzD8LfMd6w+ut++Rp8VRVEURVEUZfmgkyOKoiwnXNf1PI+/WZYdOXLk/vvvf+6557rdbl3XjWGUT/kH4G+fGRm9UxRFURRFUZRliE6OKIqybPA8b9u2bW95y1t+6Zd+6Wd/9md37dpVFMUTTzxxzz33fOYzn/na17723e9+d7iEPM+rqhoVVv4B0NUiiqIoiqIoyspAJ0cURVlOrF279tJLL73hhhtuuummt771re95z3t4c8UVV1x88cWe5z377LN/voRHH330xRdfHJVU/n6ctWxE50QURVEURVGUlYROjiiKsmxwXbfVak1NTa1fv37Tpk3XXnvtz/3cz73zne9829veduutt27ZsmU4HH5zgQceeODxxx8/ePDg8SXMz88XRTESp/y46LSIoiiKoiiKssLQyRFFUZYfrut2Op1t27a9853v/Omf/umf+Zmf4e+11147NTX14gLHjx8/ePDgU0899TdLIH04HOoGJYqiKIqiKIqiLEUnRxRFWQm4rrtly5af/umf/ugCH/nIR7Zu3fr444//xwV+93d/9/777z969OhgMEjTtCzLUWFFURRFURRFUc5tdHJEUZSVgOu6ExMTmzdvvm4Ju3fvvvLKKy9dYPv27ceOHbv33ns//elP33fffQcOHBgVVn4I9FEaRVEURVEUZQXj6sJy5dXlm9/85t1333348OHbb7/9Ax/4wChVUV5zuLj1+327SMSm1HX9p3/6p3TR559/nvT5+fnZ2VnS3/SmN334wx++6qqrzj///CAIbGblx2bp1q06paIoiqIoiqIsC/yPfvSjo7eK8mpw5MiR/fv3E3Nu37599+7do1RF+V+B7/tRFLXb7c4Cnuedf/75l1122Zo1a8qyPHbsmM3Z7XbJTM61a9faFOXHZvif/9/RO8dp/cb/MXqnKIqiKIqiKK9j9LEaRVFWJq7rBkEQx3FrCZdffvktt9zyjne84/rrr9+0aZPNmef5qVOnnnvuuaeeeuqxJRw/fnw4HNo8yg/JWSf+KoqiKIqiKMqyQCdHFEU5V3Bd9/zzz7/iiiuuvvrqbdu2LS4SabVaF1544WAwePzxx/9iCXv37p2eni4WKMuyrmtbRFEURVEURVGUlYROjiiKcq6zYcOGN7/5zRdddFFRFHt/AM8888zBgwd7vd6ojPL9OGvZiG44oiiKoiiKoiwXdHJEUZTXjvz/3E783Lt39PF1QpIkdkXJDTfc8KYlzM/P33///X9m+MxnPvPFL37x6NGj2RLyPNe1JBbcqjMjiqIoiqIoyvJFJ0cURXmtOPTx9C75b33wOfP5dYTrujt37nzPe97zG0sYHx9/5JFH7OTI//gf/+Pzn//83r17jy9w4sSJ2dnZPM9HIs5hdJ8RRVEURVEUZbmjkyOKorxWHNpfmv96l2wx/3298/a3v/03fuM3fsfwr//1v37/+9//jW984/9a4Ld/+7fvuuuuF154YZT7XOX7zozoshFFURRFURRleaGTI4qivEZUB581/90ZbDX/fd2zZcuWn/iJn3ir4dZbb/1H/+gfrV+/PlqgLMuXXnrpwQcf/KLh2Wef7Xa7TdOMCp8b6MyIoiiKoiiKsjLQyRFFUV5jLvWWyeRIp9NZtWrVGsN55523ZcuWn/qpn/qFX/iF9773vXfcccctt9wyOTn5jW984+OGb3/72zMzM6OS5wavnBlZfXS/zowoiqIoiqIoyxGdHFEU5TWievYp+c+u7b75uLzwfb/dbl966aUXX3zxYDB4yZCm6Zo1a0iBqampMAxHuV/XfPFDLnzoi6OPlgMfu4XEWz52YPT5x0CnRRRFURRFUZTli06OKIry2vBc/Yz57+Vbl06O2PNrpv/P+0afX2fkeT43N3fixIkXX3yRv/1+f35+/vnnn9+/f/+xY8eaptm5c+dbDFu3bh0bGxsVez3zxb/8Q/nPH/7lktmRAx/74K9/i/9+a9+PO7+hMyOKoiiKoijKskYnRxRFeW14rnxC/hNcurgb6329Tdt75vyaJYn/i2kM9QL9fv/IkSNPPfXU3yzAe1JeeumlwWAwMTFx4403vstw6aWXjo+Pu647EvS6ZfuVN5v/PvXswiqRhakR5+bf+83bTYqiKIqiKIqinGPo5IiiKK8pC0fV3Nfb9CE5BXfXhyeP7p/40Ovo/Jq6rouiGBiOHDnypS996Q/+4A/smTXw4IMPvu1tb/uX//Jf/qt/9a/uuOOOCy64YFRsubDt0p3mvwurRL74oe12auSff+GBX9tmkhRFURRFURTlXEMnRxRFeU04dKiW/5ijag59fN7MjAT/9sur7/7fXm9bkPT7/aeffvpThvvuu292dnbDhg1XLrBjx45du3bt3r2bN5s3b+50OqNiy4bbf/P3zNqRP/y/P3bgix9y32mesvnnX2j+QFeNKIqiKIqiKOcsOjmiKMpryaWe8/H5W/9D6TjRH79eFoyUZWk3E7EcP378gQce+H8M99133/r163/xF3/x3y7wgQ98YHnOiZxh26/9238u//3Wr2/XmRFFURRFURRFEdymaUZvFeXV4Jvf/Obdd999+PDh22+/nTBylKoo9354+p99dvReeM/Y0f8Qjd6/1nDd+/rXv37XXXf9/u//Ph83b978xje+ce3atXbKw/O8MAxbrRbvSbz88svJsGrVKinJRdN1+VbOe3n9by/yt7C4ZOTm39v/4z5Ns/QoX92QVVEURVEURVnW6MoRRVFeC6qDz47ejfhs710fr0bv/xeT5/np06ftkTTQ7XZXr179dsNNN910ySWXrFq1KlkgjmPP85b1zIgc22tnRuBbd9399zi+V1EURVEURVFWBjo5oijKa0H17FP2TfTHfzBaMPLEf5h7TeZH7OkzZVnmSyiKoqpGlbfb7Ysuumj79u2XL7Bjx47dhssuu2zdunVJkticK4ADH7vFbsB68+/93sLDNbd8TOdHFEVRFEVRlHMbnRxRFOU14Ln6GfPf9//B2NveMnZ0yfzIpg/LmTX/wBRFMT09/cwzz+xb4Pnnn5+ZmbHfrl+//s1vfvO73/3u9xne9a537dq1y3610njZ0TS/9gf77das3/r17e6HvijvFEVRFEVRFOXcRCdHFEV5DXiufEL+E1xqd2BdMj/ifLa3afv0pjvSQ6PPrxZN01RVled5lmUzMzNPPvnkXXfd9elPf9oeQ3Pvvffu3z/aJiNJkvPOO++iiy662HDhhReuXr3afrWyOPCx/9s+TfPPv2A3YN32aw98wSwfcZw/fKerC0gURVEURVGUcxadHFEU5bXDu2TxeJq3jB3dP/b+0Qfn/f+fZOvo7atIv98/ffr0sWPHDh48+Nhjj/3lX/7lZz7zmf9huP/++w8derXnY17nHLj7rtGqkSVn09z+B81o/cjN73/Xj7cxq6IoiqIoiqIse/S0GuVVRk+rUV4n1HX99a9//cEHH9yzZ0+73b7wwgt37twZBIHneVz39u7d+61vfesrX/kKOW+77baPfOQjO3bsWLdunS27QjH7jTg//vE0Z6Gn1SiKoiiKoigrBl05oijKSqBpmlOnTj355JN3L/CFL3xh7969s7OzSZJMTU1t3br1TW9605vf/ObbDNdcc80FF1wwKnyusO3XHmiaV2lmRFEURVEURVFWEjo5oijKMqZpmizLBoNBv99/7rnn7r///j9e4BOf+MTx48e3bdv2i7/4i3fcccfNN9+8YcOGtWvXrjFMTEyspDNoFEVRFEVRFEX5+6CTI4qiLGOapnnqqafuueeeu+666+GHH56bm7ObqsKWLVuuuOKKq6+++sYbb9y9e/dFF13k+77ruqOSiqIoiqIoiqIoC+jkiKIoy4yyLHu93smTJ48dO/bCCy/s27fv0UcfffDBB/k4OTn5lgVuu+223bt3b9myZe3atatXrx4bG/M8TydHXkV0nxFFURRFURRlxaCTI4qiLDOyLDt16tTevXsfffTRxx577Nlnnz127Nj3vvc9z/O2bt36Uwvcfvvtu3btWr9+/aiY8g/A6qP77Wv0WVEURVEURVGWJzo5oijKMmN2dvaJJ5745Cc/+Tu/8zv/6T/9pyAIfu7nfu43f/M33/e+91155ZV9Q5qmVVXpaVyKoiiKoiiKovww6OSIoijLjCiKVq1atW3btquuumrHjh1N0xw5cuTJJ5986KGH7rnnnk8ZvvrVr548eTLLslEZRVEURVEURVGUH4z/0Y9+dPRWUV4NCFP3798/Ozu7ffv23bt3j1IV5dUjjuN169bt3LnzDW94w80337x3796vf/3r995776NLoAdeeOGFQRCQP03TPM/ruvZ9n49225HDhw9T8LHHHuP9li1bbr311vXr13c6HT4qiqIoiqIoinKu4eqyc+XV5Zvf/Obdd99N5Hn77bd/4AMfGKUqyqtHbbBPzfDmkUceOXjw4Ozs7OhrQ1EUg8Fg8cmaqampHTt2vOUtb4miyPd9Er/+9a/fddddv//7v8+3t91220c+8hEyrFu3zpRWFEVRFEVRFOXcQh+rURRlmeF5XhAEcRwnSdJqtS677LI3vOENb385V111leu6c3NzJw3Hjx/fv3//o48++vAC+/btO3HixEii8iMyvWk7r9EHRVEURVEURVn+6MoR5VVGV44orweef/75Bx988PTp08Ph0C4wyfOc9/ZbUo4cOfL000/v2bOHj7feeuu/+Tf/5sorr1y3bp23gM2pvJKl0yJ6To2iKIqiKIqyMtAAQFGUFcj69etvvfXWd7/73e8zvO1tb7vwwgsPHjz49NNP7zU899xz09PTNnO/3z98+PAzzzyzf//+Y8eOLc6hKIqiKIqiKIpyjqAbsiqvMrohq/J6IAzD8fHxycnJqakp/nY6nchw8cUXbzEkSTIYDI4ePUpm3/eLojh8+PCxY8d6vR5FyF8Z6rq2y+vsNq4KtH7j/xj+5/+XN7psRFEURVEURVkx6GM1yquMPlajvP7hurd0Q9YkSVatWhVF0caNG3ft2vUzP/Mzl112mc1J4sTERLvd5o1NURRFURRFURRl5aGTI8qrjE6OKK9/zpoc2blz5/vf//5NmzZ5nvfSSy9997vfPX36tM25ZcuWt7zlLdddd93GjRttiqIoiqIoiqIoKw/dc0RRlHOdqamp3bt333TTTT/xEz+xc+fODRs2jC9QluX+/fvvv//+zy/wrW996/Tp01mWjQoriqIoiqIoirL80T1HlFcZ3XNEWRYcPnx47969jz32GO8vueSSd7zjHZs3b167du3ExMSGDRsuu+yyXYY1a9a8+OKLe/bsefjhh79jmJ6eJoPv+67r5ktomoYUi61CURRFURRFUZTlgk6OKK8yOjmiLAuWTo5s2bLl1ltvXb9+/fj4eBzHq1evPv/88y8wkFLXNXmSJJkykGFmZubQoUPPPPPMviX4vt9ut8mmkyOKoiiKoiiKsuzQx2oURVFG+L7farWmpqbWLHDBBRdcddVVb3jDG966wLZt244fP/74449/6+XY44FfeOGFkydPdrtd3c5JURRFURRFUZYROjmiKIryA5mcnLzyyitvvfXW2xe47rrrwjDs9/unX86BAwe+853vPPLII08//fTJkydH5RVFURRFURRFWQ7o5IiiKMqPwObNm3/5l3/5N37jN37rt37rN5fAV3/913/9u7/7u3/2Z3+2Z88em1lRFEVRFEVRlGWBTo4oiqL8CIyNjW3dujUMwxMnTuxZAl9t2bLl2muvvfTSS9euXWszK4qiKIqiKIqyLNDJEUVRlL+Doij6/f70Evbs2fO5z33uD5bQarXe+973fvjDH/4n/+SfXHfddaOSiqIoiqIoiqIsB1zdNVB5dfnmN7959913Hz58+Pbbb//ABz4wSlWU1xNc977+9a/fddddv//7v8/H22677SMf+ciOHTvWrVtnM5zFoUOHnnjiiYcffnj02XFiQxRFi2fTXH/99Zdccsnq1as9z/MNemyNoiiKoiiKoiwXdOWIoijKGZqmSdP02LFjDy3hO9/5zsGDB08tYXx8fMeOHW9fwqWXXrp69eokSeI4DoLg9TwzkmXZiy+++PDDD7/wwgs0VqfIFUVRFEVRFEUnRxRFOdep67ooimyB2dnZ7373u3+1hD179gyHw8uXcOWVV+7YseOqJZx33nmtVmtZrBYZDAYHDhz47Gc/u2/fvl6vp5MjiqIoiqIoiqKTI4qinOv0+/3nnnvumWee2fsDGAwGW7Zsef8Sbrzxxo0bN47KLzdozv79+z/zmc/s27ePto9SFUVRFEVRFOUcRidHFEU5t6jruizLoiiqqrIpJ06cuPfeez/zmc986lOf+u///b9/+ctfnpmZeccSbrnllquuumrTEtasWbNc1om8Ehre6/WOHTs2Pz+PKUapiqIoiqIoinIOo5MjiqKcW+R5Pj09ffr06fn5eZty6tSpBx988Mtf/vLnDI888kiSJP9yCe95z3t27dplMyuKoiiKoiiKsvLQyRFFUc4tjh079td//def+cxnHnroIZuybdu2D33oQx/5yEd+x/Bbv/Vb73znO+1XiqIoiqIoiqKcC+jkiKIoK5nBYHDkyJFvfOMbdlUIPPDAAy+++GJd13Ec2zyTk5O7du266aab3mS48cYbt27dar9SFEVRFEVRFOVcQCdHFEVZOdj9RPr9/vwCL7744pNPPvnXf/3X/22Bb33rW+12+4orrti2bZstFYbhxMTEqlWrVhumpqbIYL9SFEVRFEVRFOVcQCdHFEVZORRFMTMz88ADD3z2s5/9c8OXv/zlZ555ptVqXbzAtm3bdu7cuX379vXr14+KKYqiKIqiKIpybqOTI4qiLGOappmdnX3xxRePGp5//vlDhw7t2bPnoYce+pbh6aefHgwGV1555dsWuPnmmy+77LJ169YlSTKSoiiKoiiKoijKuY1OjiiKssxomqZeoKqqF1544YknnnjY8Nhjjz3++OPHjx+fnZ21j9WQYc2aNTfeeONPLnDzzTdffPHF+uCMoiiKoiiKoiiL6OSIoijLjKZpyrIcDof9fr/b7X71q1/9oz/6I3vQzB/+4R9+5StfufHGGz/84Q///wy//uu//rM/+7MbN24cFVYURVEURVEURXkFOjmiKMoyo9vt7t+//3Of+9wnPvGJP/mTP5menr7oootuNNxwww3XX3/9VVdddeUC27dvv+CCC1qt1qiwoiiKoiiKoijKK9DJEUVRlhndbveZZ575i7/4i49//ON//Md/7Pv+2972tv/N8Eu/9Es//dM/vWrVqsFgUBRFXdejMoqiKIqiKIqiKD8YnRxRFGWZMT4+ftlll7373e/+Z//sn33gAx8oy/K+++77Y8N//a//9Y/+6I8+9rGP/fmf//mRI0cGg8GojKIoiqIoiqIoyg9GJ0cURVlmtFqtjRs33njjjW9961vf8pa3XHDBBZ7nDRbo9/tzc3MvvPDC448//sgjjzz4co4ePUqekSBFURRFURRFURSDTo4oirLMiKJo9erV27dvv8qwc+fOHTt2jLYYWaDT6ezZs+crX/nKX72cffv2nT59Ok3TPM+rqhpJVBRFURRFURTl3EYnRxRFWca4rrtz586f/MmffN/Lue666/r9/uHDh/f9APhqenp6JEVRFEVRFEVRlHMbnRxRFGUZ47ru5OTkeeedd+HLueyyy974xje+7W1v+8klvOMd77BH//7Jn/zJV77ylWeffdYKqes6z/N0gSzLyrK0XymKoiiKoiiKci6gkyOKoqxANm3adMcdd/zKr/zKv1jCr/7qr05OTu7du/eLX/ziww8/fOTIEZs5TdMXX3yRj88Zjh49qotKFEVRFEVRFOWcwv/oRz86eqsorwZEmPv375+dnd2+ffvu3btHqYry+mBycvKqq6669dZbN23a1DTNgQMHSEzT9PDhww8++ODXvva1r3zlK3v27Mmy7JprrrFFVh5zc3PPPPPMvffe+8Y3vnHXrl2rVq1yXXf0naIoiqIoiqKck+jKEUVRziE2b9587bXXvuENb9i1a9f5559vE8MwnJiYWL169VpDkiTHjx//yyX8z//5Pw8dOmQzK4qiKIqiKIqy8tDJEUVRzhVc122321NTU6tXrx4fH4/j2KZv2LDhrW996x133PELv/ALP//zP3/bbbeFYfipJdxzzz2PP/743MuZn5/v9/u6O4miKIqiKIqirAB0ckRRlHOdiYmJyy+//Nprr73RcN111+3cufPiJfi+f+DAgbtezt133/3II4/o7iSKoiiKoiiKsgLQyRFFUc51giAYHx+fmppaZdiwYcMVV1zx9iVceumlRVE89HIeffTRJ5988tChQ0dfzokTJ7rdbtM0I+mKoiiKoiiKorzu0ckRRVGUM9hHb7Zs2fKOJVxzzTXr16/vvpzp6emjR48+/vjjo8mSBfbt2/fSSy/VS9CJEkVRFEVRFEV5naOn1SivMnpajbIsOHz48N69ex977DHeb9my5dZbb12/fn2n07HfngXpmzdvvummm25bwmWXXdY0zVe/+tW77777gSWcOHEiCIKtW7cWRVFVled5rmEk63XAnJ5WoyiKoiiKoigvR1eOKIqi/B10Op3zzz//ipezY8eO3bt333jjjTe9nDVr1jz33HP/1fCFL3zhpZdeStN0JEhRFEVRFEVRlNclOjmiKIry4zA5Oblz585/+k//6f9l+NVf/dVf+ZVf+eVf/uVrrrlmbm7uv/23//bJT37ynnvuefHFF3VyRFEURVEURVFe5+jkiKIoyo+D7/tJkqxatWqdYf/+/Z///Oc/8YlP7NmzZ3Jy8gMf+MAHP/jBn/qpnzr//PPJNiqjKIqiKIqiKMrrEp0cURRF+ZE5ceLEvn37HjJn1jxmOHLkyOzsbJqm7Xb7kksueavhuuuuW7VqVRRFo2KKoiiKoiiKorwu0ckRRVGUv5umaeq6zvM8NTz33HMPPfTQ55YwPT29fv16uxcJ7DRs3bp1bGwsCIKRFEVRFEVRFEVRXpfo5IiiKMrfTVVVaZraM26+L+vWrXvzm9/8vve9j7/btm0bFVMURVEURVEUZTmgkyOKoig/kLqui6LIsqzb7b700ktf+tKXPmk4fPjw+eef/853vvNdC1x33XWXXHLJBRdcsG7durGxMT0cV1EURVEURVGWETo5oiiK8gPJsuz06dNHjx7dv3//008//cADD9xrKMvyhhtu+N+XwMfVq1frnIiiKIqiKIqiLEd0ckRRFOUHcvz48b/6q7/67d/+7X/37/7dnXfeeeutt/5Hw8///M9fccUVo0yKoiiKoiiKoixzdHJEURRlRL/fP3z48H333ffZBb7xjW+cPHmy1Wpt3Ljxoosuuvrqq28ybNu2bdWqVaNiiqIoiqIoiqIsc3RyRFGUc52yLHu93tzc3Isvvrh3794vfvGLf7bAww8/3Ol03vSmN/3jf/yP3/Wud23fvn21YWxsLIoifYhGURRFURRFUVYGOjmiKMq5zsmTJ7/2ta/91V/91Ze+9KV9+/YlSXLxAtu2bdu5c+e1hh07dkxOTo7KKIqiKIqiKIqygnCbphm9VVYc/X6/1+vlef5aevnRRx+97777jh49etttt733ve8dpSrK6wlGxIMPPvj5z3/+U5/6FB9XrVq1devWTqfDm/Xr12/btm3NmjU25/j4+MaNG/nItzZlBXDs2LEvf/nL//7f//t/8S/+xR133HHhhRd6nk6UKz8CdJhWq9Vut/k7SlIURVEURVnm6OTISub5558/cODA9PR0WZaus7D+/4d/DmCxaywWeWXKK3jmmWf27Nlz6tSp3bt3v+mNbxql/igSzubHUuNl/P0lgKqxlNetGj8cXPf27dv30EMPffWrXx0lGdauXXvllVe+/e1vv+SSS0ZJPww/rhov4+8v5IeWwPB87LHHPv3pT//su3/2ljfcsm7dujOTI6+hGn8b57Iaryzyowr5+0uAHyykcZo4js8///yLL76Yv6NURVEURVGUZY5OjqxkvvCFL9x1110EgWma+p4/urVd/IV40fM2hY9npdQmhTvjpTfHS1MW89sU8+1gOOj3+0VZdDqdyYlJEQJLK7Wlfhg1FmvhtVgpnJWyND8v+61lMYNNOUsNvn1lpT+qGuQnxb632DxnpcBiyv8SNc7KDz+GGmcJsVVYbMrrQQ2wKYv54eUpRHd01G63OzczN8pjqgjCoN1qT01NtZLWq6YG2FEA3zfFYlMWM8BSIbYKy1kpS/Pzst9aFjPYlIVKGZ69Xu97p763ZtWaiYkJWn1m85TXUI3vn2I5x9U4q8iPoQZF7HuLzXNWCiym/ChqlFVJt3nDG97wMz/zM/w1qYqiKIqiKMsenRxZydx5552f/OQnT5w8MTU5tWHtBid1nNBxEhPjlY6Tm7+xSYHMvHyThxeQnxQy8NEW4WPlOG2CSJPBfqQHkUJBbp0H5iPfUopbar4lhTeREUKGwpQiQ2uJGmQjw/dVgyJ8JA8ZeJGOBKs5Eqye9iP1koJkigzNX95TxKpByllqUIr3dkn4D6kGL9p1lhqdJdY4Sw1rDTKfZQ2qIANfLVoDA4JVw2puFeNbvICERc1tChIW1bAvJJAB+NaqYd3EGyq1MilC7VYx+FvU4CPZFu2DVhiQDIvWsCmLaljNeWENqwYSllrjh1QDCfQK+/wK5qItpPPtj6TGUmssqkEeUl6phnUK6YvmsmogzaqxaI1FNchAETIgECF8RQZS+JaPZKOIFYJMUmDRKVYN6JuqrRo0GSGkAEWQTE7bFr4iBT0X1eBbKiKFKiiChEU1yE8K+elvdnCdpQa2IhEW1UBtUviWj4tO4S9tX6oGX5Fi1UAInKUGxe1rUQ2+pRbUIIN9kYJigDX4SFk+/u1qoLl1CjIpYq1hm4YQQA1qsWpQxFqDF7aliO0bS9WgIB//TjWQY2uxNkfzRTVIpMgr1UAI6aScpQZVkAeZZCAbGayQ76sGBQG1SbHWWKoGlSIBrDUW1aCWRacsVYOPVshSNaw1FtUgPynAt6TwlS0CyCSFDEvVQFTbOXz08Nzc3E/c+BM///M//453vMPkVhRFURRFWfbo5MhK5s477/yzO/8saSe7rtq1+/Ldzpy5050wt+Dc9XL3zM0ut9dj5jaaeKZnvuJemWAAuiaFoIgU7o8pwkeKTJkUbsGtBO7akcktNV1p1nwkM2IRxZ30aXNjzUeK8BX5540a4wsy7S04NaIGOa0a6GODK2Ty0YZ8pNgifORWftKk2CJWDVIW1aBqFLAxHrf1M0vUIAPFaR1qUIQM1hr85VsUIycfycBXpFCLVQPNURIh1GLVQPlVJg/WsGpQLzKRTBEqpWoyL6oxbYQjxGYgP7XQKExKOgEM9dq4CJNaNfAaGRbVoBZSUBI1rDXIQ+LqBTWsj6xTSAGrBpkpYp2CGoCQH6QGQijCt1YNmolJyYAOvBBOjaTwLR/RFgmowQtrkEKRpWogB1DDNs1ag69Qg9pRg0SrBqXQECGLapCNb61TFtWgXbRlUQ1rDasGeVCDhpylBnmsfVADo5F50Rp0UTJQhESgbyABDa0a1tFko17aggQEIuQsNRCC32na91WDDIi1amANUmi7VYMiqMFXSKAWKiXRWoNS5LRq4A7aYtWw1iADRciMGghBAjWeMmrQwciGfNRACCnoSRG8jBpABkqRQkOQg5K8rFOsGmi+2DcQS6tJsX2Y7ke6VYMUarFqWCFWDVKwlVVj0RqLatAQqwZqWzVwIikU56O1BvahA1hrABJ4oQYpVg0Go1WDWqwaFOGjFUITyE/r+BY9rRpUwYuUv10N3iMENVCAWqhrsQ9bCUBbbOchA9paNZBAEauGFcJXqIHFqHGxb1ghfORFERxEHiAPRYD8pNiPVg0cx9/FLsq3SKD5pFAXalCEushsrUFmXGCtYdUgP3l4v2gNK8SqQRGsYfvboho0Da8tqmFtjp2nnK9982vf/va3t12y7b3vfa9OjiiKoiiKsmLQyZGVzJ133nnXXXeNT41ff8P11119ndwNc4ML3O9yE2zvmPlLyMEdsw2EuKsGboW5YyYzGfjLrTM35fY2nTzcixMq2GiBe2VelLXBgJVgi5BCHm64SaEWJHBTTr1WDYqgBtn4ysrkK+7sSbcygRrJw1dnqWEVI52P1AJWMeAjLyvBFkEHslHpD6mGtQbwcVENmmbV4O8PqYa1xqIa5EETKiWFImSwaiCBUqhhQxTUsDIX1bAZgG9RlQxWcz4icFEN0hFozUV+qzkZEMu3aLJYhKqJeawaKLloDWsfG1yR2WYA1ECZRTXIj4SlaiCEDLynlu+rBm1HLBL4SCI6o4a1BkWsGiQihI9WDdS2TbNq8BUSzlIDCdjtlWosWgMhS9VYtMaiGtYp1hoUsU5ZrIUUKiUbQqyefIU1rLmsTL6lFGoghAyowUcy8B4h/CUDQnizVA2EIIEMaLuohrXGUjX4aBVDAinWwogCJFAXlVprIAQJYNVAAaxxlhoUQcKiGlRKzP8jqYH1yGMlfF81yI+ERWt8XzXOsgYCEcK31ELiK9XgPSl/ixrIt72FSq1M1CADIISmkYG2oCdlbWN5T6WLaiCc/ChGFWRYVIMXKbzIuagG+XnRRppGylI16PYUpFISqctKWFSDshRZVIMivKdSPlohgOaLalin2Lbw7Q9Sg0pJtB9tY60a1ilksBJIJ8Wqgbn4iLRFNaw1kEARqwZ5eG81f4UaX7rvSw/+zYNbLtnynve+RydHFEVRFEVZMfgf/ehHR2+VFcde2Le33WlfdNFFF154od/4dVOXbuklnh/6oReS4jme67tFu+B22Xf8wAk8z6v9umgVrueGdUgiN8dVVNVR7bt+5ESk8L5KKilAkSaQlLgukoI3kuIGfEGRMi6tBArWYU2pJpR/FEF4mZQkSi1NSAaKIGEkEzV8j6zkGWVojBrhghqNUSN8mRpoLpUmJZklxaoRixp8i8xFNfiLTF6e61Wt6mw12kXjN+S31miCpmyJGrbSRTUoa1OsnnyDMUWmUQMD8hWaoAYWJr9Yw7SddNFhUQ0npODIGv5IDaoTNchNftcfqYE1/JEavBGnhDVfSQoah00RGz+6I2vglLyVe41n2yJqxDVCqHakRlwjxDrljBqByLT1ihqdBTUcH6fwLQ2hsWfUiCu+FjVM3+C9+HGpGlGdt40axgsEWrZv8JFKrRo0ROpwJAU1cOtIDVzgkuBgT1KWqkG9L7OGUWPRTWKNJWpI28Maky5VA8UoZdWgDusUUWNBMesUquP9yBrtAu+Lj1DDFacsqiEyTbe3apCHFN7bXk1mqcX0DawhHcOqEbxMDcSKW60aWMNURPcjBZmk2O6EGiiGPUQN0zew2MvUWLCGVYN/FOGjWMOO8ajOOtlIDanKQSBCeGcrJYNVg/cjNbCG6fbkEWugRstYw4xxkYmEuELUGTWSl6thBtdIDfoGfgzPVoPmizVMTxA16BuLapDS+MgkD2qQghzbN0gRNbigWTUio4YjalAZnU3UMIPL1oIaZ/qGJ31DuqjjYVKbwQqhCtudllqDDPxFSWsNScEznmPtI9+ihntGDdv2RTUwgsgUG7ijLmqueKhBp82TXLoKBjdXPARSERmkCBfwV6qBNWJjDXOpOaMGDTFjZ6QGtmPUm1rsGLdOGamx5Prvum7jNoVfeIEXRuICx3Vqt678yo/8KBI1Dh069MLxF6ZWT11x5RU/2tbFiqIoiqIor2O80X+VlU0jv0/WRZ06aTfs5l5e17X8JFg53AeXQdlze4NmUFZl0zS1VxdB0XN6aZlWZcWdMbfFmZcN6kFe5lKKCMcv+m4/rVKKIJxb7dRPEZJVGZKtzKE37FZdijR103hN7udDdzioBiITjYKGIsNmKBmqhpvvMiz7Xn+khtNUXkUR1BhWw6qokElK5mdkEDUKo0ZQ9J0lavg1GbpON6tFDWpBcyrtNb2iLEQNX276h84QmXUpGYgc0FPUqMQmooa1Rj2gSN3UWCMPciRIkcLIXFSj+n7WwM6BUaPuZkVWV1Kk9I01mm5RLFEDa9QDkUlro4YMtmkUGVnD7ZOhLEqKkII1JKUc1HktTglGamDzRTV6Xi9tzlgDC1NpXohMioycUksKMilCT8Aa1CJOQY1QnDJwBlkpmosXogoL96u+qNGMnIIaZ6xhLCxqlJk4hUiVzuP20jotqmLRKfPOPHpWlXSn0ispMt/MizWqhghwpAZ9oxA1COSG/nDgStNEDVwfVgNvINbIR10Up6DYsFyiBgZ0Bnmdy0/xvjRWrLFEDTSfr+fRs4SqpLrZYvbU8FS/18+GGXXRin7dFzXQEyInDdKRGqZXowZdlDyiBk4xalAKNeRHddM3Us8YEKeY3+StGsN6OOobXs1QmqvnrIXFGn6ZuilOob9JEQzoSReVxpb41ajhpf2mf8YpQYULenVPxoW1hp9TKU6RH/bp1YxH1LB9Y0GNrtt9mRpBNufMMcZlIHhiQIowYHGKVUN6lztAyMgaoUPfQA26KClWDTIs9g2R6WfWKU2OF8XmeM2OcdtF6dX0DfQcdVFjQPoGY0esQWC/YA26qC0iTXOlaaKG6RuihtO3AxY1kEktWGNp37DWsGrYvmHHuPQ3XyY3RY16eFbfEGssqEERe92w1jijhhkpXDdQgwyjvrFEDenV4MsVDzXoTmerYa54dCe5fHl9UopaLgvWj/bCa50i1sD1texvLWoEMsZFDetH1DAXXrnilVlVG6eE5opX9eg8iFx64W24rJq+MfBHTiHFqiGXWSNTDMilpsm7gy5+xMVObHp1lfazvgwuu4SEv655KYqiKIqirCB0cuTcgHCR4K3nlHWZt3KiU4kBiKMIP1yJzInHiBO47+f2mtt67rAzNyPYsE+h85HwlXClyis7K8FNc+7m3NOLHISHJlavM2IHCd2pMKrJkGVZk3EL7yCT8EyKVIWECvwLTaV1QawqKZ7TtBpuvguy5BV39dzWSxEnlxCRSl25rSc2QAmKyILwSEIU7uOlCEE11QYSBJIigYGNZoOKxkpU2a8R0gQjmXlGLgkVEILMwilk9oTWc7sfOeiJ0HpQE5AQOFURGplKseGiGnUuYZKJ30QNmkZraDspsaiR5Zk0xIQfi0UkkjdBDhmkUooMzeRIp0FPwpUiK2wMI78hY3OKECaRwROnSNNwSteoERqZRKrZglOMm4hwRDFTi0S8TormopgnThFrWKcQ4hlr4AWJM00tI2vglNQ4hb7RboqmQCuRQBZXgsDMySSqpP9YawSm86DG0DglIa84xRYRNQKjRlmKhYkSg4paZAILpyCE6IsUW4uZKkIIYeGiH6UWuhPWKHPMJWGkL5NHqE2RM2qgeSN92M7RkEIR3CqKEUhGonmapxgwHaSnZk8dfunwd5//7tP75d/BZw8eOnbopdMvzfXnzqiBH1HD9ECrOWpknkyj0Deki2LACJ0W1DBTfmIN1CCSN06hXnFKUVo1xAVROcyHFMGy1EJbxBpNNuobDKWwKlzTN1JjwEmZb8Kg4kczVSTW8HMpssQp6ClqzBtrxLUMLmqlt1hr2C5qxrgUMeNRnJIbR5vOQxHptOhp1fCNGlUx6humV4tThlIE1es2sbKMcTxppwOkO1GkLuxUEZViQCSgeTNspG+0yZvRNBmwxlwUIXTns3R7Mw876huMPsZ4sqRv2O5knELbaZ30Dds0z+g9MNcNZIZ8Zyqlny9xilxJGJ4LRUSNbKFIVKZFOnI9BqSDobntTnYooYZxitgHNcaMNfi34BSpBQOieWGsweXLSBAL98TRTSxj3DpFXM8VL2zoTlQptaCndYorA1YegTF6Yo08N2Mcza0a5lotTkENO1Logal0J3FKUqPn0gvvSHN74TVOkSFfmysJnTaQi8+ZAWv+d8AVLytMT6DzmAVWooa9/qNpyzymFEhPUxRFURRFWUnoYzUrGftYTZIkF2y8YOP6jcSu3Ph6iRencViELve2PrfkjtypR07kRbET+7XvVgQHjhd4cRZHaeS2XG7TvdILsiB24yAOuGOmkOd7FLEL3eUemly+Fw/jsAl5w62zm7nhIEzCxPd8t5b7aN4EQSBV1Z6N2YIqiMqIv27oupHr9JyoiBDru3LwsNu4XujFXhy5kVcRTEhK0ARRFqG/M27UGHpRFYVu6Pu+xA+0KfQTJxE1qEUCLjdwg6SfyPLxRJrm5z7FozCSpzWI4nwn8AJpSxOKniYeQCvaLjIxEfl6XtzEEYo0IkFk0hBXmi+BN6GQ66F5WBprEDyUjt/1Ey8J/MAjTjIZrGJIdEsXzckZ1iEWo43yhP/ACXN5tiX0Q6kFNRad0vikoJvYPI+iYeR2xHfICTN5OIjGiBpYI/BEK6yBGlgD3QOv1W+JNUKPKt3C9fu+OMUXNcRr2DgIaZ0UySWSDOqAWtANw2ExQjuahuPFKRi4cf3ARzEqEnMZC5MZk6KMbF7A556LQFHDW1Aj9pImoXUjP2JAzzgFa7QJ7hu/8LEetaCPVQM7UAXqiB8R4js4Oh7EmBFPgj/0ozqKkgU1PJdGyqshsidMpK+49OGwMo8GxDJFiFNQdXZudt+z+7795LeffOLJQ88cOvLskYOHDj77/LPFsEjcZG1nbeybxmbiJDxIYxfVQCZqoDn2PFsN2zdcUUM0dwKs3VSiBj2WUmfUmPNbbguzSw8kTHa9IAxs3xj5sZEHK/CCGHDSaQYNo4/ugEnFPliDLuov9I1a+gYKy9jpRdiTb6laPIJfwpARLWpELvlRjCJiHAZXZPpGKWMMtWWMD4KEf4EZ4/QX8/idPNBRG2t48sAJVw95XoMxHjtu3w1TM8bxI83HS748e8GFQpxC9O45yJehkYfumCuXha4b10YNV9SgtRh7sW9I2+mzDNhBwmXBGXPQXAYsQrgsYI1MZi7QUK5Fi04xzxPFvZieyZVEZGa+DGHjFGms6y76UUZf2ZAtzuUySFsYaNKr5/2W04rIhUx6MUUCcYpkwCmuGbCmLdI3GLCZE6QBJkVb6xTUkKFknVIhgHw+3Y8xLlceXE+RIhCnBKEYp2Lk4BYZSgw6SaEzBB5tF3PFMjyREwwZFTE9RMYFXdI6Bf+bC684BXOl5ornedKW1A2HYRyaPoxMnODR8mh04aUtfiMNKc1V1O4s03XiKsZx+EIkMPAdV1KKiEbJdcOXR7riIkZ/GnLg0IGjR49OTU5dcYU+VqMoiqIoyspBN2RdydgNWaempm689sbrd10v5xG0zU57s2ZOJJKfGWWtR1oHq4mqPQlcB2bLPTrF4r6AE+Yj7wnXKYuE0+ZnQ95zV02cNjS7rnLr3zJ7/hEikU4GquPjeRINyhtSyEA25PAVpRBF5spk4B6dr06asnbLRiRT75TEVzKF0TXZEEKEjgReq8xf0iPzIp33CJk0jUdzu5ug/XbeSKZGRPFCFJJpFEXIT+3UYouQSJPJYNZBSCnAYpSlRuSgG4k0HyhCCmVpGum8YNy0d9px1hqFURI1qIJ03vAVzbcmovl8pCw1njLF0Z8XGlL7GqOALWJ1Rgc+UtyahdoRTn4k4xRSaAt2QA5f4RSqwJjkpyIU4C9iaTJOgTmTaJ2CfPLzFfmRg1ggnRpfMimrjWWQjFPQFslosmgNJPORDOhMCm1HLMpTELFkoDj6W62QQApVo4DVmQZSo5WMnBnTQCTQFhS2TqGNQHEKUjuZaRdVYGTyUynpvMC6FfARYqkX9YzpmunmdHV6/wv7H/qbh57d9+z0yWmRgzTUcJxrL7326h1Xw+TGycRPxKSoTUEyoKFVA22RRsOtGmC9ucG0GjNaNcjDezPQpFFWDUAa6SccZ73JhkFIpxXkoQnUgk34iGQkUJ1tIOOC95S1ziUbdqY4tsIgfEUtOIuvKI7O6EM6knmD3VCM9xSxxWkI9dJkjExDEIKhkIBitGWdKUVvRP5i37CKIYqvKItuvEEfslGctqMDbSSd/oPOJJKfFIQgmUoRgmJUSttJ5AVWDWokA++pHVCSSvGg1dmaHclWSZyCC6iFFIrwLbXwkVJYG7HUbttICkZGDd6jKjKpiyJIJgNtpyB6ks0W+Z5JpBbyAw1ErFUMK/GRFwpQBDlcCqiOnHa8oCrZsA8VUQTj89FaiSK0i69QgDd8xLlk4z0KYBM+UgQLYyJAoH3PG6A6PtJkitN2VKUsfylLFQjBR7SaPLY6vqLJFMcp5LGms83nI223HQmolBQUowiSsQPpiOINSi7NTBUoiSY0mUo3OF/86hcf+OYDmy/a/J47dENWRVEURVFWDjo5spKRyZE/u2sqmbrxmhuvv+760W0098omWKrjOhvL5ht54H9NsiZJk2Bgoj0y8OK+n1vtpdERt8vcr3MzzR0z8QAv3vDiphmxfEs2MvOy9+5EFJQiDrcRAjL5S2bSKWvF2lDB3nwTYNjJERuD2fzcqSOEYAOZQB7u6XlPEf7yFZGA/ciLSsnPi9t6KgIq4g0v2xDEEk6gM5JtqIYOFLchEO9JQRPE8oZG8SIn6XZyhFANUaSgG5pgIht38Z481IsoilCWNtrJEerloy0CyCEzmtiGkE4GilCW2IwU3hOeUYSKrIloC2VJ4S+aW3PxFY3FLPzlI0HdYjBGIqVscQSioa3CFqH5CMQpqEoe6gXekA7kJD9aUQtFkAZ2coS289fCG6rD8uShUorDomJIINbiva2Xb8lPdTZatkJQjPc2GOMrzGWdQsyJHN5bp+AIitt2IRasTLCRIdkwMqIoS1vITLptss2DNPJQhG9rp8mbL9zzhedfeD4ZSzau2TgejktmKm3J8p/D3z3cn+93Op03vvWNmzdtFrFWDfLYNvIRlagLzWmp9QhqoJ6dIMCtVg3ekxM1yENxEq0afMRBdnLERr8W0ukbFEQyf6kUbGOpaHFyhBRE8S2JZKOP8dGa1NqWPFZnTIoyvLezAOhslUcO36Iw31oNeSGNPsNH2rLOCCEbkilFLYtNpiG2LPlt36DTkoG2Wx3A2oS2WJtTNSzttHZyhE7OR6SRn492CoNsgGJks21HZ7orX5HNhvHoSdXog1ZUDZTC0ZRCQ4qQk498S+0Y2RrTakJZvqJetLUZEEgRoAo7OTJpPi5C7ZRCGYTwAvIjgYIYn1I4kRRE8S2aoAZtQQdrEGrnPcXJj858xV/0nzA5KYIoVOJllQRkkmiLWIVR1c4H8RGxCLTpFCEb1qZptiHWrTMmA05BINVZyEPtZCAnRYBvbS28IYV6yWMzAP3Hjh2+olLSeZFIvTo5oiiKoijKCkUfq1nJyGM1e/cmoTxWc/7G8xvX7IHqD2U1u1myLRt/+nKAQjtv17lsB1CGJTfEXuA1VZM66dAb8q1kdd2ykefhh81QHihw3KZosjyT7SfCwm+b0xmqeugOcy+vPTlnBAUqR3aOLF053MRt3Lqo81w2sCzj0m/JOny+QkLmZfL8gicLy3NX9uYsvZJKPcczWxRkVNokDXfnIzW8lJes/ZZn/ZvMzXgVbuEHvtd4dVoPS1GjiiovEjXKSvZKpKXc7kurnbpwZD/UypPzF0TLvErLVNSImyAJSMkd2cVQjINEz6ubmir6dZ+PridPMZSysWeGfdyO6/ryBIHsv+BlhVf4vlGjka1eKVX5cpYEMikwKAdFVLgtFyGiRl2QhwxoLmq4sjcHQjCgXUWfZ7lszBmNnIKFMRcmlYYYsAYpmJRv+UgRzJXhmSD3WigufhQ1kOnXkkE2GxGnYC4xID0AJbICC8uhGG2jhlPhgtwXP1qnkFk25vQqcQlOycWPvabXtOXxBFGDxrkZRhY1sHHjUKM4xZMzL+TBItl20qgR19RLlqqWzU3JMFLDkQ0sxPVuGUTiApyCHwu/qKPaOgWvDdwB5sLt0t9wCtbAKb48N+FWrtkCwjil7Uot+NHNUUP+FtmJkycef/LxYy8di8Jo66at2zdv33zB5g2wfsOGdRvWn7eeGrNhNj87j260evXYagYLxetajvag+1Wtql/1qRTD4nTsg/6yA25TyqNhnku/TesU4+Ap35MnhhgdssOra3SmI9GjnQzTMSKwJEJkCNRUO/QqT7pBx5gONzYFbZSnV0KMMqQWTIQEilVB1c9lE1nEybNNkWz7Imo4ZeAENFzUaFJajV3lEY+AsVH0s77sGWEe3MAL9JBu2RUlTFvEg44MNAwpz2uEDlphzCIv8JYfimLDekjrGkeGgKjhGWu4mTSE/ky/cHLZuaMowiakk8vuKs4Qr4ka1BFKY3tV74w1fCnSHXSbXD66Cb4vaT4ViRquUaOR/owQSfHkuaRhNUzzlOsPORgXXExk61kuA4wALiqeuSA4GU6RhwQ9Fz0pglYjpxjF+mV/pIbvoR62wik0QToSBsQaVZZmKZ1q5BQjU9QQr8gTaliYlzwXxDXGk70/6OFpKkVoaRM1WWA0bwoGETJlW1Oc4sjWKchAAo0dZLLHMJ2Ni6psJRPkKGavOeIU+oabUUraTo+x1sApRcGlTx6UazdYGHPRkJEaxvVcRsQpXCC9Rq4ijPC8kL7RchnmMhadghGGNbi8UwvdiYskjpa+EYg1+kUfa4hfuUoHJYqlQcq1VB4ycp0Dzx44euTo1JQ+VqMoiqIoyopCJ0dWMjI1sm9v0k4u2CS7jnAnL4dcBD2id+5xCcllBwpX9o+IezGxUD/qS4QcyDPt3LsTdvaKHjfQ3Nzzj/vpXtkbpIM4Mk+epw432cNoWMRF4svGIkSt8+U8gTN36mEQys19UM5lcxI6uoFf+GbXzmy+Ne8kTuzHZCBykFCnSrkLRyw33tzrd4su8YM84V+H9bAmHu61e17kyaSDTzBdDMoBd/ORHwXSDonZEJKXuWwVkfv1oO4G3TzKm1h22uD2noBhPp8XNTxK+Nz0Ezz0CFHdJgkTd+AWZUFgnyYpoaY8T+HTuNSqgWJhGFJkUA/m03lTHiU8go1BMOi3+3EYywyCZ0LHKiV0iQjuw4AYA2vQXhwhsWLmlmk5l8yVSYlxaAshGeEWtTSNUcPDGxJIp2VKlJJ4idNzEDgXzxHKikuwh1/TUkyKGqJJ4MuEQjWkLVgvrEJn4MhhFuEwa2WyPYwc99lYNSTow5O+Z51S1AV64hSZFKuyXqtHLbRd1HAKCXqN5klkrOGmFMFc4pTKOMUZzHXmaKgo4fvEbGhO+E2l6EkoiLlQPq9ycVMRNN0Gp2RxRjRLBmI/6S259BZRw5fOQ1BHf6ubuhW3xCmFnOWRxznxsFjDlwB1Lp+TbSk82SfFBr2zvVmsLfub5L6dGcEpYWS2bnFFDXrLIB/Mz80T0X3j/m+sXbt225Zt2y7ctnpqdWusFY3TwoSGx504cRPsNZgfHH/x+GBusHFi43wwn4UZsW4QyLY4VVDNurM0Ns5lbxQiTyJGlKzrujVoSX/GdLmc50J/iNsxRXIvnw1mm7rxKg/TIWEYDKfj6bAMeSFEZkaKYT/tx3EctkKaOfSHMsno5GSQrShCp+t1aZdTOXwkWKXhc/05It6klXixnNWa+nKqTtVU7WFb1AiKfthHAvUmWSJqNPlc13gQu7SMGt5wJpwJyiCqItRAT+rt+33ZHqWIcBNGk41j6yKMwzAJaZGo4Q690pMh4HhlVM4Fc6nHuJE9R2Q2sBoS7Vd11eq0GEqowdUGm6B5lMvuFcTYZ6xRhzIbWKbT3Wk6AFWgWxZkA3+ASWVXoDJidMvRKv6wlFOkcHlIZ+gNe9RCH6P7SS1+Me/PowZOQQ2ZiAuHMhnalK2+TBDKjAw9q5LTaqNWhDUYvrP+LAqjBial71EEa9Au2s4lUZxSSluogiJykfFHMoMqoEgTNT2/J9NwpSvWaOSS0B/2sVicxDilCZvFIq20hYWxeS8Ua9B8arHjHT+iBg1nsFo/zvlzaBUXMZrLQTOBCKFvk4JT6Coyn1KXfiQWY3TjMsxlnULzy7AUxdxhPBxZI61T8WNZJAnDyKMPznvzsh911cRVbMf7XE+GFY3lCsqFK/Myej5qoCdXfq6lg2jA5Y4LXYwDUufA/gNHjx2dWqVH+SqKoiiKsqKQ39WVFU5g1mnzIvIq/XAg+1MSIXCrTRgQZ7GEEI7H3bbEuk3Abb6syubbxJcwPpc5FKdxiEPIIBt7DiWD/JjJDbqscAjcvuuUJkMcyAQERTJZHeAmJgWZqYQC8stk7BFrcR8vq7gb+b2UDBLZFiYFPSKZjCACIVyTFd2+7OUpRUqZkhA1QlMv/0lloQQRl2gVyDac7tDsY4pCVOoHRFNu7ooFWiYFPSlSyM6dxACEu1JpV9a3jIQQo5RGDVtpJGpIHmMNUuxsAk0jIhppju5UavQUA4JprFgjHpkrKEy9tdiHuFR+RE5FAmpILVRLpaiBNYhEkOkZa/RFcbFGLBYeOSVwCG9EDWth84OzWIP/DDyCFiwsgZaoJdMxsqo/dsStEuJ4Z6yBYphrYAxIEaxBXIRTjBoUlQw4BcUGL3OKSEANGkvfSEJCMkkxfpR6/WBkjWDBGgTzpFBLYGrhHwakO1k1rFNQA3MZp4g1Kl9W75eyokEy0J2sUxbVqE3foGmkuJ7sm0uGxnjN9WT6pggJViWlJDr0i7Q4+dLJp/c+ffzY8bVr127euHnzeZtXT6122xJBzifzRUSnkYcXJjuTF1x4wbYrtq1eu3pmbuber9175PCRrJchH39JP2lcmdSoZeJPFgjkLs0RnYlDQ3kqAc/S62QSKpI9icUjKXYMsQYeENumRMle3JJ5PLn6ErDnHoaVbVNbZoPkoYOvaTVtpxYqxRq4hgwUYdDJOBrItsT0T9nm05G9V1FDrB3LTIqYLpWYH6hZakkdxqzIDAM8JUXQnPi6FeFHyZCbSpEZy+as9AmsISlOQE+QIrU8YIJrRmp4xmUDaZpMN0SmeyMzpwcYNdryfAdqYH9RIzJFMofOQBHpbGapFNaQsJ8CsqupyDyjBgZEjaEjTTMyxYBWDS5iCFmwj7UwI0uKkCE3RawBUQw9cYq1BjbHKaiBAdEgFKcs+jFKxBoi0ziFxoq5kIlTMKB1CtbwZRWYVcM2jV5nnSJ9zzjFusmqMaqU7pqKH61T+N6qETp0n5FTqFfUiI1TKEJ3ykVzZFKLdYpYeNEp0BOniD1N3xj1QMd0J0YZ466Sy4xojn3pw7ipkS5KHyabSLBqmE5qt4C1zadS6QlkYXRXpovWZjdl+/iPqVwyK4qiKIqirCB05chK5qyVIxIuVo7cGXMz7Lm1X8sy8kpu4rlzJpCQeKEI/UyOzCgTwndzCok5gYU4lBtlAgNZvkGY3cgKdilCUFyGQS+o3bqKK26upUglIa7crFPEkwBJ7suJDAM5IIO78CiL/J78RCkKeK7ceVOEENfcdo+K2CNI0DSS9R5yREshh7w0oTxSIbWgKtkIukxUTDws8QACCBtiWawR5BJFN14jKy/Mkgf5rZ4K0BJNqMWcwSEJ1BJKVBZkgTfwaDu6SRHTFq+WAIn2SkBFu2pRY1TECaJuhFWrsKKiUS0E566JKyhHMaIv2uLK9Aptkei6HyKh8iraIsEPBiwk0qMt/MUKBCFyhBASYpllQCBtIWjBwuKHOogrc64QQq1ihD+5RIbWjxILVUHQD6ilbMnxJ7YhFBy1Hbehmpmuknqt67PQ7/o0hLZLQIViFJHF+KYhYE4ykraEZh6H+HQQEzTiRPvMjhzaUsqJGLYti65vGjkqRaZpiHtTebiicRvaQk4pUsjKBYqjGHqRxzpFJqQwF1FcJjMs5LdOiSo52kP8iN9rL0glMhSn03m4otXmKCJKokYmT3/0B/2jx48+s++Zsiivvu7qi9ddvHp8ddJKyrjMwmzoDhNfjkqRwBK1YzeaiBD1ve9975vf/Ob6C9ZvWLNhVbhK5kewVWgmJqrASyRKlMizMmeHYAsnqKqqrsQOBJYyiYC4rlvnNd1PwntHpp/EgESnYSDfYn6EyAiQWJSoGA8W83LAr6ykMPN9Eo5mcsAtxqH7YRxpF47jown+5X0uB82IGhRCjRJFzEj0ZfkMJiVDXdY1poyo2PTh1KjRFoHiUNqOGgwd8GTFTZEtqGHW4OBlZ046ORaQybvaFzVK05HMei4RQt9s6HlBFEXoVvWrKsU6Mngl9qYnMH5LOdZaGkJrTN9ADXq4tIWuafbREDViOSIHmUWOZnLKlTSNTt54zlCeHBE1IrnIoBhtkd4YmW+NU0QmRTAgXRhKea4Nxfgo3b7v1lldJ8T6Yi657JgpAwxDFdYppOAgZFILw6fsyiCyThEX4JTCkWtXYCYVuDwuWiOSQ7zEnplMn8mwwn6NT8cQNTyZp5C2uOYEHKwR1tQiBiml20uRliwAQR+ZT6FSoxdFsEOZlQwlK1PmQ0vP6crZPXQDmWSximGB0BWnpOaqRYPMsKIvcZ3nKs2lHd34aCdEyM+lRpxCY6mnkEui9OrEtwcbieZiUzF5ODT/d2g5B54/wJjSx2oURVEURVlh2B+AlBUNUU7TSFRM6OfEnboT5RLPy0L6SPZ04FuCVeKEVtOKy9jLPEIjeZzebVpuSw6ANMEAt++Eka2kJc+UODl3zNyRt2qizIT4JM/yYT0ksCG/BDZEZ7n8ztkO2wQYxDOFK+EWCow5Y62ixb17XuRlzQ2+l7hyDmVTNU3WEHkmQUIMUXmV7CPguImTjDVjcR4jkCJFw/27j5DFWiTo8yUes/sCoDZFWlWLqBuBeZWTyJ29fWhCYphSIv9W1OJ+X/ZEkDkVqaVdt8M8JKKjIWVTEhvIqZy1TBV5uRe7cbvdRk2aXzgEix7mGqvHiPbrtM7KDCtSCxaT+RjamjmYi5iXuFvM5VRERB23067afuqXeVlUshcDWrWclsSWuZyXLNYjMAwa2ePDrXBKp+m0yhYKEBqltSwOGfPGRqdyFvK7cezF1ik0U2Zp0MFp0XxCoNzs8IKqKG/NRVtHTolD8aMrOyAgbVTLQJxS1LLbBYqR3tQjp2AuwjF5+EWWQzgIHHfGcQrfZoXUS+vG3fGRUzKZnJKTQSPfOoUi1sLS9zBHmSMHC2MuCQWNU+hOSZQQWw6cAYrhFNuQsBAL8w+zU6+c4eoE9GqUjIKo0+qQM69zejLBXuzHWFjmU+g7lSOhfu325/vHjx7HGruv3n3e2vNa9HS3wUsC3T9qZGdKzOkWaDm+fnzjxRuDdvDoU4+eOnnKHciZrzIhWMiDNO2mnXhJkRRYj7AR3STFrBZAZ1qGMtiNniM+pd1mqQguwAK88FpcxBODCfJnkWwNwxssQ8eQeY26GqbDOq/F4G5LQmgzfmUGhBdxOzEysW7jk59KqZGOV+UV/RbbjtRwcvo82sjJx678kyBZluZ4vHgj/TnzaNREMyGmwxtOiWIM5E7eIe6uEnnohpqtgxg1EqgPZCEDFhA9wHHpe+20jS3yKKch2JOGt12jBnnpSFnhl749uFdKQG1mDbAMLQvNEbNNNOGKNfKGTlHSOemHHadDN2Z0cBWqyxojJ405YNjsFYoxpSFQu7KgIwvaZZvBSPfgVTc1A79dSIrd84VE+hiGQD2ZdFhwCkqKVpin9rnuTQwnaB1OKf1S+v8Sp6RZWhd1WIUkSt+zDcF14r2RU/hHw3nRi2Ro5zVdXZziLDilzmVhiHVKtOAU2xbeVnK1jDIZiXxidMhFppKu1ik6gR/gFHlyiquuvZTVMlsqK6rM4i9RQ/qXLBuhRq4JWZzJ9k91jYXbQZuRRdsZAlmaBYU8HROHsczj0DHNjj0iQSZTG7o63Qk1RHPc1WRVI/OYXOrt4BUvxGb9iK4cURRFURRlZaGTI+cGldMMm3q2JnKQUw8qJx/mvbQ3684Ox4bNRFMP6rove4py0y8bATjp6ep0t9+tupVsyBo63GSTgUiY8Hh2cnY+ms/THJlyg0745jZDdzhdTQ/7w4pImZvm2GkqqZEiaZDOjc31/B635nIcRiV31cTkXac7X84PhgMCX4l2xxreSC1lk8Zpt9WdD+flN9u+aAVEHX2nP1fMpYNUHvdoO01oigzrqqooMjMx03W71VwlislvvbIZYbfuThfT2XxGuELoKwtJCBl68oNov9X/3qrvyY6nw1LCDNmtsqGW6Xp6LpvLe7KtpigWNWhFkaZueu3efDIvMxf9Sn7oBqItL5ttZrFnNszEIB1Ty0zdDBoiHGqZb80Pq6EzbU6RoA5XNrvFuHPpnDQQVhkLD+ombQhpqOX0xOl8kMtzLuYH5MoRp8xWs7J75WwjkUnkoBCKVWlFoD4zOTOXzBWDgkqlFmzm1pjre9X3Rk4J5TyLphk5hWgWc/W8Xp4t1EJw5DU9pzdfzEuRVH7El76Bhbt1g7ejIU7pBt2yV4ofGylSuqX4MZ8fDoYiB6ckpjsN6rIsh/Fwdny263eb6cZaWMzlZN2me7o8jVPEhi2pF/nNfEMkTJGTa05i4XJwxinUMuPM4PqiK9tqStvHZUVG3aqd1U6v6c0P5gep2TIWaXSkrJZO1V44j2PxzA7pSjWWQaadpFg3u052c8A447KvRDfvztMrS+OUJZBfFsgEdTPZ5JP5TDhDo3JiXjATB84pp9/05+K5gTMQ08ncgjSW7jTTzHTTLiNO+oaNKk87+HHWmR20B7IaiO49K32Df6fd0/Rh2fAFyyAWzddh7N5sb3YwkNhYWjQhUXE+m0+X01gyczOpC9saNXpub7Y1K2oMjRpUN+nknXy6O02lWW4yA5Jrp9dH7uwwHFaRGFrUSJ3CL6anpmWPmDSTR5zMGKctdKfZcnY4PyxTYx9zcFUxW0wjO+pShdSFDqZv9N3+jDsjO+zmZgiT2HKKsWJmMNPFzGVOb5RrEZY/7fT7/ZlqBp1LM26lxnkn7+fTY9Ndr8t1o+k3YiWKYA23N9Ob4bpRVkYNrjZch4piem6aMZWHOZcFGQJUWjmMvpmxmUG1MMYRbpwy7UyjRtbniibXN/k/4bSowUAedAZVYpwyZxromMyOOEUuLDQQU001fa8/25+VXmedYo74wSkzxQzXHJmlpTIUHDoMWDFde1bUwHR4FkONOUVHrDHfn8cpDExpCwqWDWpM96YH/kC2xwZMR98JiplVM1x4syyTMW4vvJ5sI8WFd9AflFkppsCksVMGJaOb6yeSuTxa06EzHWl6OM1ALtulKEzDUWO8mO5Pc7WXeVEuKW4tBehOfafqVd2wO9eew4yki3wMpXMiiqIoiqKsUHRyZKXDbXHmVMRrWTqTzHCPK8FY2/ED2XqwNWgFlfybq+d6VY9gr4kbryWL/Nv9dlLKdo9u4uZJ3k/6suthlrpdV34c9uSnS1kjYOZBiNZCL+z0O/IgQOg1rSZv5d2kOxPNEBP6qZ84sgxBfu3kbp8oIHbccTepk6RIwjp0Y5eIuoiLudYcsVAxLPxMfnA2+weap9ypBZ0jP2qiVtaShyDMsZ3UMt+aJ/Dgtj4chm1PfrX2SrPIPzA7niTyBEqn15EVBInUMmwNe1GPIIFwCwt0wg7SZBUGhqJI2/Xb5vfwLPF9eQi/alVpIruiDuoBARuBdNJIW0QxGhJIiBhEQStvyeMevuy2gIUHyWC6PT0shk0qtdB80dm2nVh9zCEnikktkS9xS9TgGsLRQTkgmorLuBN0ZNEKbTdFsAS1oJhE8kRiiVMkMu0iEWyR+T2/7YhT/EqeEbBO8Tpe5EVj82PWKbZIL+6NnDLwW04rduLRugDAj5OOmD2XhTy4HnMRJc6353F9MSj8XJwiu00uOqUlzwpJEfxonRJLLfgRp1RFFWah7S0Sy6EYMWFbzCVOme8EXmDbkrZSomuCXuJ5ioyFY1ErEp1RjJfneBNeK2glfmL3VpC5sCydL+flaI9BE7lRwr9Q1gU0RUOUOB/M0zHyWH45l1iUONm0kXh10Bp0466culI09D3Z/sM3dk5lCVLsxwn9zpy1tBSZ5Gr6M/VMkRb051bVko147TIC4nBa15HNPpMkEc1jT7xsAmAc1xrKgixpLLG9fXXExaTLU0j2Imzsw6hsT7TlMZ9KlhuJcOwTi2T5V0VeZmyCZDKXvqzbipJXqtFKJLsXGDeZfWSQTGY8JatR0A1PIWTWkU4YJ2Fiti+hA/BV6vh9H6+N+gZeA76a4ssoSclqdvegFSQyKkOfa0WcxzK66RLkN6bGIa1WSx5kK00DjaNxYKvdips4yMzDU/RtihQOTWv5rahtnI4E/OU5jMQW7sFBkXnMZCi60ctkPUvVwlnSQGvP3PF60kPiOJZ9Q2gLYT9yZp0wl8Vc0p8Z41RHqzsiuT1si1N8OcBFdOOF6Wq5JIrOjdHZjD4x3bhsEiNPvtC0RaeIq2VZ08gplCCzcYpsWd0KpC48gl9apm9g55bsxCyZzbQXjRUPVsZ/GBOxCO+JNTpJx+6BIum0JXNkjHN9w92xLJsSscgZd7APrYki427SsWopC5TaWZsLrDQwNFdpNBkgLEay7Bbkmj2MUKOW04s6VQc1GFlZnPWSXi/o1T2ZH6H3Sv9wEy5isnkQ6o0bJRGoKIqiKIqy4tA9R1YysufIU3uJzDes27D6vNWznVmifXloxWwGQQxAGMzdcxmWM4OZyq/CULY5JBjg26SfyKaRHZ+QyB4hkTaprGBP2xH3/kRZhRzRUke1zKdwZ14FyTDhG9mOIZFndrp+t+f1CDaIhQiPCTyI9olOibebyBTJJEiWRy9aPkIKv5gJZohmo0yeSojNAxQE5HVQy8/akSzCR2dCGnnifkw29Rh4A1mVUDak23gVgbILRoSUmlCAGEDmJjIJS7yWJ4+rBIOhOyyqgtCUm37CmziNiYVkB5akJg6h+XE/Jq6QEMIc7iBHSHhzxBLtQTsMQnSTh0dqVxSLK0wqi/YzeXaAsJ9Yi/S+35/1Z+XgjyqiFhoi4W7pVK2qDmXhA5EkX6EtFiaWo3aqkMdPCqdVimK4KRzKRgOyPiKqXV8WzKNq7MX+uDilCArrFNorkR4xTJPI1iTEs0EtFg7leJRWv2W3eERPnNL3+vPuPE6RmSnitVKeG1p0CnkIJsUpgXFK1JR+OePPFHWBcyNPHrKg+bJ5gV/Lr+tmTxkCY/oDlvHG5dzZ1Etng1kaSzB5xilDOT7WOgVzib+GrbAtTqEIWuGUvMqJvVFMIvsgQrKs8all8Y4/5iOHXiS1VF5VVGmV9txendXtmTaeittxFMo+tXVaF2kx25rN2zku9FO//73+8cPHj750dGxq7Nobrh1EA+yANwmYZb+IcVmWghynK6fg0oGJNofD4XOHnnvkwUeuu+G6rRdvXTW2So7jcQc9v9eabzFq4iAeHQbkmIVI9IYJ2QSEf/Rnok16mt0oRPrGkJBdvmtajXSzoHbbbpiF0meciL7X1I3sEtKRLWlFMkF7Fcgan7b0SWRLr/NjerJXytnMIjmVjSTijqhBM5BQF2YHn1Umsyce9ByTeWDUaHw6Dyaii+JWWR1Q1e68SwyP6cSqvmyZI7uKDF2MhrWpTtRwm7plemDk0rtk9MUyLhiwlVuRKGr0Y5nvcERnGkLbaQvGoauEqezyQ5+vxmVrULEGVHL1YNgiAc3dTHY/kcN6GNeMxLKuMmMNnM5FAJN4gZgorygiaqQB/U2mAyKRLMschjIrEU/EMisRBDQEO4tkGugFCBHTuSZzS7qTXBYG0cgpiXGKXzNy5XkT6xRZJmT6XoLGC07hisd4bNX4kUaNnJLLPCnGpASdSuyMU+wJVpVDOj3Em5TpZnFKKO6W/V/SWmZ/cDgjmsyRzFjhFHT2+p705zHjQd9cl5CcOuIU2+sCmbFCCNb2OrI/izy+R6+zkunJWBnJMzH2l4mzRJaYNWnj9YwaRrJburIiDDV8maiNhjLHhm3TKJUVK03Z6rW4EuIFKcIFIeM7OTS66kh3OnDgwNHnj05N6p4jiqIoiqKsKHRyZCUjkyN7RxuyAqGjBOqeRKqyy4NLXCsLQ7jZ5S5c4hBCZe6rPTnIhhR5Fj2XZ+O5F6eshM1eTBhDaASkD5rBsBqmdUqgIlsAeuboB0o15gSTVCKQVtgiAPPNaR3c5ZN5Lp8jZCMQIqziJn60asOR5+a5fY8LE8IReEayTSzhU7/pz+fzoq4vAQlhidSCYoH8RuoPfbl3JzBOZFdO15e5iW4tSwNkIwyZ6THHSZitHwlI3EJiPIIlAnDif7Tiy8It5MzXakAoKEGXNE+KiFqN7FUZ9OVJfvllO/EkZvDNoa11v5t1CWykEoljRttSYhnUo4j8GE4kkpijJXx5AmU2n83qjPAGraSI2URWftgN5VdcsTDxpAk+RTHfzRw5vFaeNfAcCR2xcO0SpYhTsHDuyfyLFy06hbbYhqRlKrt+BgtOQTFa0zh+5ofDsBUtOMWXbURyJ5+XjUCLmN6BmekDlWkITvFdt+fSMZJQViiIU7CwV+P6mcEM72kHFY2ckklDJMDDj43EYNRCBEstOAunDOshZaXttrfQdioKnCZvxCllROMR5Q2Mx/yyF/bk8YS6oZkYRCzckyeyKCKhLOF3Hse92GvLtqDSJcz+C+jgFR69Ao1pYW/YO37y+NEXj45Njl17/bU2wpfpqjikn5deOdObGaZD27UIblGJIoeeOzSaHNm2ddXaVZiC2lFD7BAEWJ7MdM40lDkaTJcMjQMaz8u8LM/wQtfrBr0An+J9r2Vm2eoUyUUlh6pKf+Zf5eZVLnN87S62ktUQ8yKEkDhNUjn5tSyS2QQ7S38IZOsKkZx3ZfPMtqzukanArMbdvbhXtAr5mX/gMvSwQ+HJ9JmokQeywAFHtDxGh8wrmaNtuTJgRnFEKgcn49Nu1CWql7UhmTSwDuu0lfaCXl7myZzROZErBp1/UAy6/S4djOAZ/9rIfNgM+3E/b+Wyw0XfqOG5eZwPYlHD7/syVyK9WC4FdIZ+0c+bXNRoG2ukLhUNvSHWYDjLco+uJ1MPZA6Hfa+f13kykAUOVg3KDvMhbcE4Yg08UHpN1sh5t/4gD/M4kJ1fMJFVYxgPe06P3iVqYI1EDtzFGv20j50ZqqKZ6ZZFXchcWIt+LFvhiBq1THhhjb4vRzVHXZl7shccvM+I6xVGjY5xilFDJIdiDbmkYE+uujglkCPARY1CtvZYqsYgG2RVJkt+WjJkrFPESlGfWkZOaeQfvY4+kzWZTM2IAz13aDI7w36rL1Oc1nRkR7KTDvKBHDGeLEgeyE63kjkxmbmw2Ks9F0mudb5sqRv7MU2WCw+Y/bi5CvWqHi5jWB86cOiFIy/o5IiiKIqiKCuMs1ePKysSwgnurTtNh9i7cbhvz9JGNvxrZMJANgVsuS2Cf+6GucNO81S2PIhl1bdklj0fSwKGxE0kbjfxmNw3E88TCbvm6feUniRnxBC9pAgo5JAYBHacjgTTCxC3yg/RtWxgIYu6fTn/IgsygsYyLwmlZNGEn3DzLbf7ZpKF4E1+6HZq2eKUcN2TkzuyOhukg7IuCWVbjWwZGzgSn8uLMIhy8hO2bGMhEXvgNq0m8zMaxT+JjWsTNsdyyy/xBoVCl8iHIBytpHWRiSGLVJ7Yr2qio3YjTxnQAHkZpC2UqOQnWYnwQ6cIi8zNKCWP0uTRWDMmUQfhE0Vqmc5o2mYT0FIUc+QHZVmXQXSXFRkfZX2NfWDHNsS0hVpkF4Cixsjiq9gpInm+Aws7mUMtOEV+jrZOqcQFhEMYmVrIgBAMSAyJVoR/OIVW0A0w12JDAF1ou1g4lX07q0gWy+AUIiiCLpxC95C5J+sUdDKPVMjP0TTEOsXsnkuQWVbiFNmj1GxdudgWxFKL/MCey3J9cUpbnELsV6YlUaKsZKEOnEK42EhzyCaLKnzzC3lqguRGwu/MyegPOKXltOTn7paohInopti/DErEtHzZydXPzOMYvnkAxDxZQHPiIqagxKto5zg4C1vJj/ZJI33HzruZ2bozIMOVVQyyQ2ccyHwilLKzqfSBsJZNLhqzQ2cmO6eSLus4UtNSZJKfXkBzctlURew8FIvINAF90DEuNtug0BBrLuldjBRr4Z7MgolNSJcJrgVtYwn7edG7ZK2EOftJRiKJpUcR8Sl/kpq/2EFqFG2MI+zGK64c/CSSMwnmUcwmihokBp4bybgQnU2PFYV5Scc1mStZK0F7JVFcLQsaZKhSg3SKkettQ2TUM1IGLpcOySo2Nttb+LILkqhh1JbMNCSqGb8YUxpSymyF2NmkixqINW0R05kakUa7JLGUw33EzlSHGq4coCPpsVyvJHMmWxpJZoYMxicpr2XBBUMMpyDZtEXUQDfsKROqo4aIziTSGiT03ZFTMNViZq6ZZmZEei+SfTkhCNdIQ8hs0m1nq2NZsnGmIdYa4jCjG4lIxoOmw5B/pAamQ3JhOgzjgpqHpg+QmYZat/Il4wYS08DKNNAubGkZO3PFw0qSb+Qs2zorX5YTFrJ6i06bRRnDjSuztRidXOQMzXYk4mFFURRFUZSVhk6OnAPUcjRjUAdEkpEf4fNhMBz6Q6JZ7nolfmtc7ollywBPZjcGxWCQDypfnmThhnhYDgmtuZP2Qwlc5Y6fT4XcLpPCP9k0ZCingRIGDJ0h4a7MrThmtTZxeyVLMAh1JMSS4249s5Y9IEwiEKUW+yso0T5CQnkmQNYaSAiYyzkpyLTL2oNSfq5HQumV3LJ3C7Ono+uQX06KID4kYENLailljw2C56AKiFcJk4qw6EW9gTvgRh9lyC8hbmDi1Z6J8XzZOkFqLwPZ2oDWeDIHQVvkpAaiP3Myq0wDUYS2UKQ2T2GgXCqHX4q+YT4IBgNH9pf1S18Ws8QyNSSK0RBiltgJSXUiiqAGInI/71d9LExQJD/C26NGK3PiqehNWOTiMvkd2ER9fCZikc0vyxz74DJZxWCWpRAVSy1eIw0JpBaiIIneQ2LSdFDJT8dSiy+KyWQNX1mnEPk0UktUR7Iuo5Lpp2E8tL+Q4ybMIqsDcAqRKU7h5ctTUbKGwjiFdMyKU+aLeTknxZxla9fFSNuNuWgLtrAWlliXvhBW/bgvB3Bk1RmnxLJqScKwUgJvupbMfDXmYI5KasGPqZfKyqPSrLKJQndMJkeqspIlM8EgizP5MTySk0q91ByqSqgfydIS3menM2qXFTX4k3JmuiRyI9mrAmd5LqqijwSETSOJlGrkEQacIu6OZEuLJm6I0ulrIioPYk/UkIcXwDwHRMOjMrJrSV6W2ZwSIg9YzYtMG+0TitNGIlJ5vgnDhOYhndrFUPKwUi1nDIsBeZVEuB7tSiLZqkYyD01Uz1iLgjiM8aDTNZnp9WTO5bkqebYo9mWOAxb7LU2h3YW010qmx0pgXCV+4cs4QrdQnkDB+PKkSR7RD6QhDH9cmZvMXuJnjHmzVW1YkyHwAjmbuTQPnZETIU7NFYDEpEmoYtSxK2NP0TqSA4wjo3MmVqLXMNZkmixfkIzOhSPnvHgRyKwcrTNqE8/T2eWJEkxeLDSwlEds5IJWBXQhyYxJsTOjuAyjNGKIiVNiqY4McsZRbS5ifZliE7WNU7iAyMM4lUcTpOHyXzkcirbIpfIVTpHpNhShutQ4hUuTLJ0yvbdv3M1XRe0V4hS5MJoZ2JHOxikycL0FyYDk0qMbkJ83kmifISocOhLXBDKLPUlHQ19Mh0lpI5dMaUVb7M+oEQkYNQ7xpqiBnbGKrEMymUs5rFfSpXnyD/eFecgYTyNZNCRnUeWMPYfOHDVRXMqKEsaU+V+LoiiKoijKikInR1Y6jdlWsJQpElnrIbFeUwRyEKn8IFjKGRDEgVme5XVeeVXpyBGzRVYQA9M7mtbo5FrSiZl5n3FzPaiJWwhvCAvbQbvttQkwJNh2ZCmESCazUxVRkXXkR34RlTnEnHK773nj7fF22OamXEIXbsvDMo+kapTJfDnctHIrAgBiejmHpS6IAcbDcQJFAhXaQoxR+IUcHUqI7FSULUI5ZEFmKDLZjDPPc8KMViSLUGROIZe2F0khtTimgV6R++an8Ey2qyzMGQ3ymILf5u5f8jeyFIIqiMalLW6VtTIqla8yBwNQCwEkEc5Ee4IoRR4nyeWUnzIqabU0qinTMMUavJciw5oAgww0nFpkgqA0EwTUEspBqpiIVuRxThFximmLnCPjOJ1Wp0VrrGKlzFyk42nplbQev9AQhIiL+7Ltbl7l8ptxkHS8jli4kC4g7vbF3eKUoEjbRG+iFS8aUtE+x20n7VbQkkUTaGucQkNEGTqCj0GNg4oGp5Sp9BAiscl4klBfLIxcVyRjMQItFBNzBXLSrW2ILNnJMgLFdiw75kpvoS2Vkyc5L6kOp7gFRSQENQs9aBq9RfbpdGUvTOI6qaWp8la+KFl6NZkn5C8etJ7FPvQQFJaOhJHyhuh0vDW+ZvUaosEjzx6Z7c3KjiNoTdNzaX7H70yEE3Qz13ex0vxw/vT0aRoiD9RMrCJcZDjQZLFyJJdMlMzCjLqkD+RRp+zgU2fcwVxIlqUrgWx2OzGcIAiuW3XWUL7ArZETdaIO48WZd6h6lNkzmYsJ4nORHC1ILuVUV5Ec09AyL3KcRdTb8lvS65yQfohVGSCN22Bbe0q0+JTMvnQqOkCraE1UE2Fi1CgzujpOjFyjRmgyYwNX1KDbtJrWRDYRZoTgddbO6JBcGaIs6hSdtmPUCIzOZclIFJ2DCeL2kRoucps4iMeqsXZmJGMN+jOFatl6ZsKdYLwQri+qEbvxWDyGJvQ6GbY00C0DP5AGNhNREdEBssBILps4i8eKMXq1Oy7PW73MGq0JRkddGDtjOr/huoQanazDwJTMiUgWa+StiXIi8iIsnXnGdJU5XNwba7ttq4b8C0s/9Ol4E/kE/iVPlkh/lvmyUhZeiRqxS9OyQrKLGkFrIpnAv/T2kVO8JvLFKZ2q4xYms5/JYrfCqFFNRHEkK9rqlzlFrEHmshytgaJvGKfgBboEw4qOLU6h1xWdTi1bLtOwUWbXZKaBVUSXoIvKBttk9ozksOMVchy4THaElTTQk14nkq3OTiFbOzHQ+D8FwzMXD1KjvTJjHK5adN3xaDx07RaviqIoiqIoKw3dc2QlM9pzpJVs3LTx/I3ny2/+biO3v6n8nMjtuPzwHkncMOfIPiDEPISCRImhJ7tFyu/eoUyRyA+S8qtlPXAHfbcf9cxmFZEsw+ZWnjhffu1PRDIhwShzVQ+8QT/qU4tPvFI2w2aYhmmRFEmUIN8FM0HAfbZsoODJ5qNz5RzRKXf53McTGqVN2kt6RHvJUDaPkCUSsew3gWLy63cZE1X0gz76e64sjalz2QujG3WJmYJAZMojApXc6HM/L0swPGKLXB4YqQs++plfD+teq5d7uQRgxcKRIjTHa6SJRBaVRwDZDbs26HIrlzh54MgKBS/2WmFLGoJZC1lojpLSFjdE8/liXlYo1NIW2VfCHwyiQTJIwlJO2ZAlErRYFivI7+pBHvT8Xuqn1CLLakq3yqu5YK5MStm1BDmOOVHFTHb4sewd0zgNDSG4IgXFnJ6Tumk36RLLEYBhHDwr5jKPPsmv9IRMVUOeXtwjXkIgAQ8NGQbDkVN845RKlvjzXzGgScEpGI33XiY/XxNJ9eM+otr9No6gG0gtvnGKFyRlUtVVN+jK7+mkVAGWGdbD2Xg2SOkgtxgAABntSURBVJBoZKKQmQBCN1k74EW0AovltdQiczp9p+f1skie7SJFnEIsZib48CONpVPJTJmZj6PjyTyX46C5LBdyAmxqD4uVboVeDa2VXWzSPN27b29rVasz1iGoJsBOnZT+g9/jWk7zrZ16rj/3/LHn9313HzHk9f/o+is2XzE1MVXGMoOA1nJUUOhgjfnePM0U39GtKnk+i+C663SH/rCJGDSyQAZzuQT+fj7fN5npTkmEJ+kPbs+d78xjeYwTFiGdWTbRiFwsMNuftQso8Ltk9uWZr/l6XpYXOQ2tYMxiWCTkWT4bztauLKCgC8k2LmZ3nW7dld1zGIkM5CaU6pAc5rPOLMMNuzE8RbLZbacbdwfBQFYR4PBa1gHRJ/NWPhfPoRtNkMUFdteezO36JrPn0kUlMwYI3DzI5/I5TCeLkgLZk0bSByZzOECa7UhWt8IrZnNpIAqMrMHYnRPTieRalpPIkh/zMBrh+mwhDRTJ1s6NPCbWc3v0W7yPGpJVtt2QvTzEGjLe5EwryczVKXYZ3Qw9OpustjAH3NghPBfOVa5ZFFaFUggPJm6v6WE6rnjUKDo30sfIPB/Ny8UxkD2P+IpGcRXq1T2cQs9kPFqnoFQxLObDeZFslpNIZpriOP263y9l6xDUo5fiFCQUUTHvzsuFt5SFKpI5lOdnelGPbklBBqnoXMrSMDkEKpmrfKMzHuQyycWt5XCF5JqMd2iymC6RB4i4MNKTRTI6x0Yy45ph1fQYvOSxl0fbwLIoxXRxzQUNj8jEh50fQUfGjSdb7UrxUs618ds+3Wm0IeuU7jmiKIqiKMqKQleOrHTwcCILQOqwzvt5mZbctY/lYxPlRNttczdMJCeLEZI08zMi3sRLJuIJXn7u2zMgxuNxPko0njVplvYLmYwggrfxKhFUXdfy22xUcus/Fo1NBBMt+UnUZK76ZbtsYlmfQqhDFUS8xP/cvktE3ciuGSgz2UzKERZtOYIky7Iyl6iX6LoM5GENglh5kMeVUjLHEURj4diqaBWRap3VRLy5J7XLjIb8BFsM4yGhIO2VWgJ5pCgchpPZ5IQ7EbZCZMpP3cNMNr+AyCF8ld9vS1mqII1KJNSPg3gymhxzx4hyCXjSMpXfbMdlqkjWL7h5GqVFWJBT8lNL6bWy1ng5PuFPeB2PiLE/7KNaXcgWAFgYJYm7aCFGE8XMsThJmEzFU9TiDpGYZ5X5ZTiWp2OqrCK2pC2URb60ncgqlyNI1+Rr2lGbCAeZNL/ICpHpO1VQyZkvRW5XOUgtkUxziFPCiVbdagjrM9nRE6dg/6ZsiIxofhqnUgv5W+KUMA/H0/HJejKJknqslj13h3imahp5zAHvp06aFVkzMBsPoFhgnBKNrU5Wx2VcD+thNkQ3e8YQVqXafqsvTaPbRMZctRcMgsl0EtdHnUhWTBRZOkhF80L2ps2cLA1S+bmeIqYhtDHKoql6aswfi0J5OgzJxHVZM/olfLweH8/GkzShVwyhGtKjKN5JOpvXb776qqs3XLjhmWPP7D+y/+ixo93T3SzNZH/TaFCVlZPKypRe1ntp9qVnDz/7wvMvUOqOf3zHFVuu6EQd6SGhLGGQbLUsORn2hrLSKjBrSTC+mbSigVksSwwI0WXc2dUuaYUuVCTWoKsAZoul19ldXRg+knNMviHzYCAbbUp/JrMVsspkrlJZQ4E1SKHn9o3k9hDFxI0ogFgMJYs2Mtou6z5CM0hN04jth8mQfiuNJe5dyCxdyEnL2AxSOjNfBeYsam8gSwyWdFeuBnY6qQxLeV4DyVTacuoO/WmQl7ks5zEdVb5ayCyrushMQ9C57VRj1bA01jBP7QmZ48hJUDmXIFkuZJ6LEQmxg8WGhdE5rKQtZpYTzbHzMBzifHl6hcwIJ3NcybXCz+XcJbMFjLxaJrM8GmgyI5YeXjtcTzARlyMkj3TjqymTuRiWZSnlbVtKY+fFzJiI/L7DpYAxTnrpmYshmVFvaDIn4hSuEot2bpJGGogHsQbXJSTwVSWXOAZ45mVVtZA5kGt1HuVDfyhr0OhIgJ0Z3a2KxCwwaqAtmfkzJk/z0bwiNZcv1KOBrmnggGtchg2byFgjdZqhqEGN0kVxim0g/bmosCdXZunPJtH1ZDPdTt6ZcqZaUYsBLheKyvThjqmaxvLX6KAoiqIoirJi0JUjKxlZN7JPVo5s2Lhh1fpVpwan6qiWI1ci2ZdR7rkJnLiX9txoJmpVLfktty1nvo7um7kD7st9OR/dSG6YozwiOE86if39kDyFL3tznO6fJjSSh/97spaEu3P5QbeI2oO27I8Qyi+ifiXLGZI8kW1Kh54zb6pAOHfYudlPMfHiSDbLlLN1zR6KQSegeCuQ7TPd3CxRIVjgNTCKteVIHQJmwn5pEoVCN6iCpJ+0vbY8qJ/KPh1SRdsUKSWMR5nYN1ufDuVwCmfCMXuxyOGsslycKshJ2IZxeqKb/ek7HsbUQk4kyC+35hRkOb7UDZxZkzk2FsdimYMBgwilW+28jT4o6bW9sCX/kjCR36iHcpqPNIT82AEXjMuGFK2iJcfxRrKNiBd48SBuF20UkzUIqTy5Iw2BrjQKTcI4TNwkKZJgEIg1Oh4NoQpZFEOOoZFPW8iPHQL54Tesw3a/jZ2lD0SuX/pxESeZFJE9SmYWnEJBu1tHy4tC82zLUFYSyW/LHZnTkUOIaH1h9h+lLcSoVEdFbZnASoaJWHjRKXXQmmvJ80RYY2AedKKKMeMUTIdiuScn+Dotex4QxsQasjEk1igD8SPuJuqjCM2hIl6Ea+2y1+59z/+e1/X8VNYKiVhcNnTjVtweM80McZdoSNVT41Pbd20/fuz4C8deoPTUxNRUMiUnOtOfzenIe76z56nvPHXi8ImrL736ml3XTJ0/Rb2yICUMW3ErMTvGoptXeXE/lmedIjn+QwaCWdDkz/vJIJGNQgJZziCDaCBNi9txq9USC+ee2zfmmnIQhRnxl2xyHMgmO3QkvByPxa22PEkkmXvycz0N9z0/8cTRsuyoNlvMILmR5yVQI5bznU0zGc6nZPccWsSol+UMoZyrTdO80pMxjoVxS0eWh9jMXl8m9WR1gN28Bp2HDj2BptF7o0q2B3ZbZgvexME1eCTpyYnR1CcPNMUyQOgh7cRcVuioAzNIaWDLlz2GyTwfcFmQHkjUbZartas2VxJZ0sJVyFxkJHMrTuKETiVqYI05B1E0sN1uy3WJa8jCSii/K3Zm1MohTWYrHMk864pTGrkU2O1j7ODyXWO6zGwPjJ0ZQZEcdSQNTNtcBLguSQOJ+ZGMneNE1KCj0uuGMq/hjZvrUtqKe7E/58vgpcbYTG76iZyGThetxClNKgtz4k7M2B/tYkMDafiskdzBJy1xills1YTmycQ5ubAgX66o6EzmGSTJQz2tfkuOs3FM5rzhmhmHsThrGIvOidGZVvWCVq9lri6yWzama3qyUeuoIwVyGrroTEcal1Egx3j7RmfGOw1EjURM167bsjwnW8iMc5Hvig2zLOt5vfmxeeTLGqsZ58DTB44ePTq1euqKK3XliKIoiqIoKwedHFnJLE6OnH/B+Rs2bijrktvf2Im5rS+9Un5hrofc6HOjzN024Qc3+9zN11UtT45EA/m9uV44oMQzz4A08ihN6spuGtzCu2YbVPkB3ykJNrh3Hy325qa6kYUOhCMiEwnm0FZZuk8EGzpZncnKf3s8R+OJrsS0FEEH1/drWdpNqMALCYTWhNPDSn4WrgN5WEOqIPJBpUZkyuJ8gjXIR7UQllSunJ+S1im1EEFIuGV+biUXBXhJ0yT8lykDCZxqryqqtEmHPlGIfCUTJfLTuzw1I5pHJhIrHNLRUCKtUM5nHRSDoiHEH+WUIrLdoUcU5Dem7aYtvu+LYrlflHJmahmWEk67sleL6EZraowlG4XKlA3RV+FQ3MaEyJfVLk1G1CTB0gJEXGJhLF0ZB2EuWlbJAzhSiyu1oLbovNQp/CNsQ1/SrVNQLXLleZmq33jGKbYWFKslCCSPmMti21IFbubSf3Ivr6NakvEjalMYczmjc4Kl7cb18ohBjNnkUSma0zTGKcAfglWzLEZa15iAmWAeazTGKZU5nMgZSBVYhr5Q56ha1AU6om0ZlPJUEHFdSI800zSp44/55Bzmw7qR9QKiCqF9lKyaWNXv9yXYG/SmT00fe/7YkQNHnj/+/KGjhw4eOnj82HE68/p166+87MqN520UDZGGmxKfiqhxWA6lt+DHWh5iQXLplnSYsinDQSh7qTTyRAOJtScbGNNw27TK7NdTOIVXyrEgtFtmbehiVSkrIJqatrtd03vHA8ZdWZZFXhBpi1XNXphIYZQx7kQyo2RgZnw6QdVUsoCmKcS5uU8oK/M1CRoYyY48wMK4wCa4TLaGcWW/IXFiI33PGEYeFEL4SOda+lKQBJWsQBKd3ViaQNwuDm3cfJiLZEzQ8mVqrJBNkau6osvxD5fZBtKxqCWv5LATeTQGGdgLncnsiBpcghAo0wp9ma2gB+JZyWyt0TOSsQbjsi6oUXTmojOQ83FEDTdHgugsphHJmEUaSN/3ZBWb6FzJTKWokZkGonMkmbEzZqmyqshkLx6qpqxIlk5mdJYKaxm/JkUy00DUILNMQ8kJQeIUc7iyOMU316XUSO740kCbmaFknqLi0kEbxc7G3ZIZNTKZnZQtcjxpyyhzVzLzEglI5orH5YjLCJKpxqzDYlyjs62RInQSa0+sIbrR62p5foePIplOimR81zKH5mReHkl1GFbsnLjiXzpoIzsW0UwpKxd3M4OJJ0tZKydbR3lN7MeRF+GXA4cOHD2ukyOKoiiKoqw05IjE0VtlxXGnoT3e3n3t7qt2X5XneZAGURE5HUfOiHEHxAydrDNRTsjP8mbnCEIgAoPUSecm5uxegP7Q/KQZSYambojZpgfThNydpBOXsnMmAV7RKoKYNLlv5o5ffv8kTqaI+dVaPg6MQmaFeRM23arby3rjw3G7vkBuwSsTik+MbsflZ20koE9b1pVU/co+FR/G4Zgjj7rI6oOhyWxrsVFxz6TwMZYNOAb1oEiLVibbH9rl9KhnG4ImIwn8HZNSdVVjn77fT1vp6mh13MhP96IGYsH8ci6RfNcIobrEqSPZGnY6n/ZSbzwbj73YBsySgczj5g1tpwqgUhJnnX7Tn4vnojhq+23Z55JvqYWXrcIsdJeP6GacUoc1RewzDlP5lOxOSjYyUJFtC3ZDCBZGPdqSGw+Waa/Vw1yrolUyZ4RTKEJO5FOcUhTBXAjBKbE8ddWre3P53ORgsl23wyCUr9AEv0waR9AWJFinoFjp1PP1TDxTJVUcxzQkLEORidpgq7CmQDHeUCRyMjfr1t0mbeI8niiMUxabbOVjbQrSDYzpyCnnH3myW82qdFXiJ+647E8hh/WkzXg1TgyZT+R0aZlJIc7H2ijQd5y1zsAfzPZm5Tf/sCWbjxo7N8Pm2Nyx544/990D333p2Ev9ub40EDOaiZqLNl+0ZeuWS7ddun5q/VgwJqJQz7yGxXCYyWvV5KpFaUVVpF46SAZBFayeW02cmflZr+wRlEaRbNYrcwc0KnW6cTeLM3r+eC4P/ojkCScLM0YBoTJDYCKacE9JhO+sc7pFNyvlJKnxcDypR5nzJKfhkrmJJhyTGaPZzFXWOCZznjjfc5w1Tt7KSZfMfjSRTLjzoxUo88V81mR4cLw9jjGlFZi5zOazeRLP6IwakTPfnc9SDOqMdcZabsuZky6d+/lcl3dOGIYTYxNe18yITeKSbpqnxNXYjUEtTjc6zzfzWDiqo7F6TNaL0RPI7HS5whCxjzVjydDovMrJ2/l8Lsuo0HksHPOmZVYIP3KtSCuTOTaSZ6WHoAZtQecwotnjMsOCHxmdmckcuGPJWBKYBtIr63x+TiTTq2m41zeZp5zusJumqeu6sucxDSTLmJPH+Xw6T9WhE44H43IRgEnGSm/YDN3K7VSdVtmSntZ2uO7RQIwvmetxb9asilrr9KresBqicyfotKqWMy2mK9oFDZTMfjgWjfl9sy1xy2Suh+h8JvOEU0wsSHaxxZhfyuQUVu35vWE0pKd10LpoyeXIHCIukr0mCGXvYZketZnj3jCRM8A6dYeLuQy0GafoF7OTs1yHsfN4Oe6b7YzI3027/bwfuIHssU3bkNAxl99SNg+u8qpqqrAdhq2Qr+69995HH3t02yXb3vPe97zjHe8QEymKoiiKoix/dHJkJXPnnXf+6Z/+abfX3Xjhxk2bNzV1Q6Alt/tEDaE81l6WZSttdYqOXVUuoYuZHCGC6o31iMPHyjF/YH7yJXqMZWvPopSt/nzfb0ey6p5ogS7UtGXDAllpj4zcPABiY04CSyNTXmYio4lkU9i+0x9UA3noppZ9QOXunGCYWIjYnorokuS3sxLEz7k8yd9LenUkR9dy4+7XZsEFARgyiaXRnCJIIIykOEWIDlzZ47MqqjiLpYHc5ZMHxagLxXihoQlcJb8n59rmlexlkLWySXcycsyWn1YNClLcxM8SeNsJgtip/bpwJIbBpLJE3yyWkPYiE/mYFEyQL0VQksSuM3SHMm0RhLEnzxC9TA0yIJkaKYKqSMBibjNwBujWFM1YOkYtogxtRytUshamFmsNhJjpKgLCfrsvEaw7IT872yjdqkFx6xSK8DEUp9ROTS3dujs2GGvVLQpKHqvJxIKFkWBCULF56TT9Zr41X8WVPHXitGSBD/mxDwVRw5qLVlCKRtEWiRzzPs4vZPeQTm56nZ1DASSTmeooSDcAc2KRbD7ipVmYTQwmYjcmKJSDn2XzBAcJ9IemI0td7EskWCFjZnvaQRfd7PyIbYtsuxDkJ2dPfnf/d1848kJ3juDSKGB02Hbptq2XbL344otlbUghSwnEVqaDEfnzyvJscky2YrHWYPiIemFKh5zsTcrSgCAflLIkCv92kg6Wt67ph7LlCt4ktI7SSCR3HMlcDBg9oRfKMSU9Mysx7vSLPu7mfYfkOhKTdpwiLvpen84QNiGxrtt9eWY0DdtxFUu0PCbRMulnJPfNTErHZK5N5pY8riUSMHNZ9NIebzDmWGtMdAbXkU1zCpM5aseN7PgravhFLzOZ/WAsHhs9JTS2RI2gLU9eoHNb9hDteZI5rI3O9okbMvv93DOZ6zbDU3RGMjrTO8zcAW2RJ3HITAPLJQ20aiRyAJM0EGsEYTtpj1afYel0kOET1yFx1EA8UBX9gbEGkqO2zNHQ2cYcjC+ZFxuIzq0zatAHOkFHnj2xmf0BlxTJXLXjPLYTZ2VS0kDUCJoAz46mXcYd+oA9zlysYXWmA0ZlL++JZC+Qs2NSM/vTdrgSSmaXIdRKEGoaKI+MuUayEzBOpIF0pL4jh1VHGR2JQZoUZhIqEsnozBDGKfQ6WbmzmDnO6L0t10iGnhxQ1W13ZdtgrMG11GVwyujup/2UoeZ5IzWQTAn6P1+WcoA32soyk0Q8/tRTTx1/4fg111zz/ve9XydHFEVRFEVZMejkyErmc5/73J//+Z8fOXpEfhOeIMY1UTR35ISxfikrq+sqLMOoiiQsJ74gLCplDYX8WBjl3MQTm9lF7PJtIIG6HPOZZ659OIUIwoZSBM+j8MREuVRBt+Kum3TgIy8y+kQG0t8IbYuaMCREwmhCgUDIhu4LashH8hIqc9df1kSSjS8nyMhZD/YJDiImcpKBishp66U4QszzDrJEv6qDSg5qkQbaPEaNURHyYxCTv6mbqqmI/eqQ2C6WBec0bVENax/eUCl/rTU8OUuY8NgtXTnUw5UDOUbKk4EiQHE+2iJUmjuFWxAn02ryE+i+TA3aYk1BCqqauRJsXhDfyQm5cpKomIuc5F9QY1Rk0RqYyx6OGxa+79MWtHArE6XDUqeQYrTCKcRs1JLLXpCyCkOeMgDELqgxKkIK8LGW7W+zMKsDOR9EnqNp/DNqUAWS0XDRKcYalVvJvEYtG/2OnIIo8oOta0lmqQIXmqOUK78SxWhe5BRegS3IjAQJ7WxmhFCdFcIrRJKcWkqwR0eVCbgldu5n/VOnT83NzmWZRLCLrFm7ZvXq1VNTU2c7hTC2KnlVVRWHsj2H5C5GdmYo0SEJmN0QM8vzFBiTeqMgYpiIMnR3z2xBiusI5yuz7imUTVKJ2yWzK+fpLC7ZyKtcGkgWXwbIKHMgj6LQGagramQLnr8t898pOQgxi7QCa1WVHCtMKxd1NsjOvvX3kWynKn5InXM3xzX0DRp+Rmes4ZrM9cusYSXLuPDDM5LrBTU8OYro+2QO5Uwl3sMZnZc2sK7sLI9k9sy+Qj+EZM8xDVzM/H11XmigOMVcKn+g5EAO4T5bMt01duTxGfrRyzNzFUKyuJvMTiTXIjO46Pz0tzMdiS7KsPOpT84mF6eEkcwSnpXZNU4BOm0lBySTiLvlWirjTcBE9HDKigfRwEimjTKyFocVMszV49SpU8i58YYb3/3ud7/pTW8yAhRFURRFUZY9OjmyknnooYe+9rWvHTx4ME3TUZKiKIqi/P0YHx+/+uqrb7755quuumqUpCiKoiiKsszRyZGVTK/Xm5+fT9NUvawoiqK8Wnie1263x8fH+TtKUhRFURRFWebo5IiiKIqiKIqiKIqiKOc0o+eNFUVRFEVRFEVRFEVRzk10ckRRFEVRFEVRFEVRlHManRxRFEVRFEVRFEVRFOWcRidHFEVRFEVRFEVRFEU5p9HJEUVRFEVRFEVRFEVRzml0ckRRFEVRFEVRFEVRlHManRxRFEVRFEVRFEVRFOWcRidHFEVRFEVRFEVRFEU5p9HJEUVRFEVRFEVRFEVRzml0ckRRFEVRFEVRFEVRlHMYx/n/A7q8iV7z+jRjAAAAAElFTkSuQmCC" - } - }, - "cell_type": "markdown", - "id": "d3e1e547", - "metadata": {}, - "source": [ - " ![centri3.png](attachment:6b3dab33-888f-4e70-ba17-7c2c8edce27d.png)" - ] - }, - { - "cell_type": "code", - "execution_count": 97, - "id": "a8c5806f-cc53-444c-9511-da713d013cc3", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "from physic_lib2 import * # run this to reset all variables" - ] - }, - { - "cell_type": "code", - "execution_count": 98, - "id": "587edcb9", - "metadata": {}, - "outputs": [], - "source": [ - "m,M,g,L,k,x,alpha,Fc,T1,T2=symbols('m M g L k x alpha Fc T1 T2') " - ] - }, - { - "cell_type": "code", - "execution_count": 99, - "id": "9fcdb41e", - "metadata": {}, - "outputs": [], - "source": [ - "# with A\n", - "A=mparticle(m=m,g=g,r=L*cos(alpha),w=w)\n", - "A.add_forza(T1,alpha)\n", - "A.add_forza(T2,-alpha)\n", - "A.add_forza(m*g,-pi/2)" - ] - }, - { - "cell_type": "code", - "execution_count": 100, - "id": "3ac55c9f", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle Fx =T_{1} \\cos{\\left(\\alpha \\right)} + T_{2} \\cos{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle Fy =T_{1} \\sin{\\left(\\alpha \\right)} - T_{2} \\sin{\\left(\\alpha \\right)} - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "Fx=FxQ(A)\n", - "Fy=FyQ(A)" - ] - }, - { - "cell_type": "code", - "execution_count": 101, - "id": "c8df1af5", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =L m w^{2} \\cos{\\left(\\alpha \\right)} - T_{1} \\cos{\\left(\\alpha \\right)} - T_{2} \\cos{\\left(\\alpha \\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e0=e0Q(A.fcentripeta()-Fx.v) # Fcentri in A = Fx" - ] - }, - { - "cell_type": "code", - "execution_count": 102, - "id": "3c52ad68", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =T_{1} \\sin{\\left(\\alpha \\right)} - T_{2} \\sin{\\left(\\alpha \\right)} - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e1=e1Q(Fy.v)" - ] - }, - { - "cell_type": "code", - "execution_count": 103, - "id": "7a24d0c8", - "metadata": {}, - "outputs": [], - "source": [ - "# with B\n", - "B=mparticle(m=M,g=g)\n", - "B.add_forza(T2,alpha)\n", - "B.add_forza(T2,pi-alpha)\n", - "B.add_forza(M*g,-pi/2)\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 104, - "id": "6b840a30", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e2 =- M g + 2 T_{2} \\sin{\\left(\\alpha \\right)} + k x$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e2=e2Q(B.y_res()+k*x)" - ] - }, - { - "cell_type": "code", - "execution_count": 105, - "id": "14fa9583", - "metadata": {}, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e3 =- 2 L \\sin{\\left(\\alpha \\right)} + 2 L - x$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e3=e3Q(2*L-2*L*sin(alpha)-x)" - ] - }, - { - "attachments": { - "27565038-5164-439e-bbb3-8069cbaba5ed.png": { - "image/png": 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JktSqvPQQUwSA6ftYkiT4/X6kUqmcn93f3w8A+PbbbxGLxdRjQ4RlsVgMsVgMkiShp6cn777Mx64AUPvdaveJqFQ0mg06mUwCACKRiPq66CIuyzLi8Tg6OzvhcrnUANCpY5eIqgMDQCIiIiIiKomhoSEAL7osulwufPjhh1AUBfF43HD8M6HYALDURPWW1Ue2ajSv16suE4lEsq43FothZmYGLS0tmJmZUUOuXPsy27618jAKqYzcuHHDcBskSVK7q2q75J4+fRqhUEh9zcxnA/pKOhGWaffD5ORk3n2ZfpwW8jCzT7STu2i//93dXQAvuv4KIrwE9n47Ymw/bddmEahrP7vQrs5EtD8wACQiIiIiopIQXTNv376NsbExPH36FM+fP8f4+HjeCQvEo1IDQK/XW1CFYXNzs+HnacOtbF05+/v7M4K4mzdvArA2ZmAh7b5y5Urez21sbFSDvIGBAd1rAwMDALJXfYrqwFyfL6pJE4mEevxowzLtPhDHnplusW+++abhNj98+BDA3ozM2faL2X2eXgkrAuT19fWM34IIL4G9rr7ieVHpp92HopqWMxUTUT4MAImIiIiIqCREZdYXX3yBrq4uNDQ0mH5vsQFgtXUBFgFReuij5fV6MyoIRfXa1NSU49+3doy69FBLjIGXLZDLFwBqu9Fqu5OLsEwbCmqPvWLGUrRzDMC6ujoEg0GkUinE43EkEgn4/X7DIFyEl9rqRW2ln/b4EFWBhY6rSET7BwNAIiIiIiIqCaPKLKvv3Q+TgGgntzAKz3IR48JVwqQhIoxKD8zE2H3p4ZVWvgBQdJFOJpO6/WNU6SeqApPJZFHbY2cA2NPTg1QqhXA4nDcIN6qizFbpJ6oCs+1XIiKBASAREREREZVELBZTQwttaCNJEsLhMHp7e7O+t9gAsJpoA7JcE6MYmZ+ft/yeUgmHwwCA7e1t9bm2tjZ1UhBFUVBXV2fYdTZfACi6SGu7QGvHFdQGoKIqcHFxER6PBxcvXixoe+wMAMV4f319fTmX005eov3NiH2rrfTTVgVKkmSqmzYR7V8MAImIiIiIqCS0XULj8Tj8fj/8fj+eP3+O4eHhrO9rbW1V35druVqRbXKLfDweD1KplDobrNO0Y9eFQiEEg0HE43E1vFIUBU+fPjWsVswXAIrXtd1/s830K9Z3//59LCwsFDw5RikCQEVRsLa2hkAggB/96EcZy4mxAdMnLzGa6Vd0/5ZlGb///e9ZBUhEOTEAJCIiIiKikhkeHlbHY0smk1hYWEBTU5PhsseOHUMgEEA8HleDJDFW2tmzZx3fFju1tbXB5/MhGAxC+9jZ2cHY2BguXLiQ9zMWFxcrqkJSkiR89dVX6ncdDAZRV1eH/v5+KIqC58+fo7u72/C9uQJA7fh/2klUsoVlwWAQiqLgq6++sjQ7cjq7AsDTp09jfX0dd+/e1R3bALC1taVro+jSrO02L9oB6Gf6Ffv1m2++yVtZSETEAJCIiIiIiKjKBAIBR8YrLBUzswCX2/HjxyHLMpaXlwv+jDt37kBRFF2VpiRJGBwcVLtGz83NOb6tRFT7GAASERERERFVkUAgoBsLz+Xaqyg8duyY420rVCUGgMUSY/QtLi4avi66yDMAJKJyYABIRERERERUJYaHh7G8vIzXXnsNLS0taGlpQVdXF7a2tgoe664S1GIAKLou7+7uGs7s7Pf7AXAGXyIqDwaAREREREREVcDr9SLbY35+3vH2FaKhoQGffvqpuh2ffvopDh065Hi77CLGKVxZWVEn/ZAkCSMjI1AURTfWHxFRKTEAJCIiIiIiIiqREydO4NatW9je3oYsy+oswEePHnW8bUS0fzAAJCIiIiIiIiIiqmEMAGnfqaurQ0tLCxoaGhxvCxERERERERFRqTEApH1ncnIy69gpfGQ+hoaGHP/OiIiIiIiIiKhwDABp34lGo0ilUrh7926GZ8+e4dtvv8WzZ890zz99+hTffvstHj16ZPj8kydPdM8/evQo5/Ppn3/37t2cz8uybNjWbM/naqvZbRDefPNNx78zIiIiIiIiIiocA0DaVxobGwFU7yxpRERERERERERWMQCkfeXSpUvs1kpERERERERE+woDQNpXwuEwFEVBY2Oj420hIiIiIiIiIioHBoC0b0iSBEVREIlEHG8LEREREREREVG5MACkfaO/vx8AMDo66nhbiIiIiIiIiIjKhQEg7Rtzc3MAgObmZsfbUin8fj8SiQQAIJFIYGJiwvE2EREREREREZG9GADSviHLMtbX14v6DI/Hg4WFBaRSKQDAxsYGuru7Hd+2QkxNTWFlZQVdXV0YHBxUg0BWSBIRERERERHVFgaAtC+cOnUKABAIBIr6nFgshpmZGbS0tGBmZgYAoCgKPB6P49to1e7urm4ylL6+PgBANBp1vG1EREREREREZB8GgLQvBAIBAMCpU6cK/oz+/n6Ew2Hdczdv3gQATE5OOr6NVjQ3N+Py5csZzwNALBZzvH1EREREREREZB8GgLQvrK+vQ5bloj7D6/Wio6ND99zQ0BAAYGpqyvFtLJYkSQCAGzduON4WIiIiIiIiIrIPA0Cqec3NzQCAubk52z97eHgYANDT0+P4dhZrYGAAiqKgtbXV8bYQERERERERkX1qMgCUJAl+vx/xeFwdo21jYwPt7e2Oty3d6OgoxCOVSkGWZciyrE4yIWZnFc8riqI+39/f73j7q4HYx6XYX/Pz8zUzZl4kEil6jEQiIiIiIiIiqjw1FwBKkoT19XXE43EEAgH4/X5sbW2pQWB6F06nhcNhpFIpDA4O6p6XZVkN+rRtliQJ4XAYAHQTOFB2kUgEiqJAkiRbP9fj8SCVSqGzs9PxbSzW8PBwxviGRERERERERFQbai4ADAQCCIfDurBHkiRsbm6WrBtoMRKJREaAJLqsAkAymcx4z9DQUM1UnZWaJElQFKUk4dbi4iKGhoZsa2dLSwuOHDlS9n3U2dmJ9fV12wNSIiIiIiIiIqoMNRcALi8vGwYZYhbYUCjkeBuFjo4OzM/PZzwvxpUDYBhcDQ0NYXp62vH2VwMxScfo6KitnxsIBGztLtvR0QEA2NzcLOv+6ezsRDweh8fjUZ+TJAlnz551/LsjIiIiIiIiInvUXACYzY0bNwDAtootOxw7dgzHjh3LeH5ubk4NACcnJ02/jzKJfWlnd2lRZap9rq2trajvxIkAsKmpCbu7uzh16hRaWlpUoVAIly5dcvy7IyIiIiKi6tDQ0IA7d+6AD3OPSsolaP+oygDw3LlziEQikGUZa2tr6Ovry7m8x+NBMpnEjRs3HG+7Gdvb2+qJoVrHlzty5Ah6e3sxNjaGCxcuwOXaC5xmZ2fh9/t1VZqDg4O4e/cuuru7bW9HMpm01F36xIkTuHPnDmRZxsLCAs6dOwefzwev1wuXa686c3l5Ga+99poamHV1dWFra6uokNHuALCurg6BQAAbGxuQZRl37tzRVfk1NjYikUgY/meUTCbZHZiIiIiIiEwThRdLS0u4e/euzrfffotvv/0WT5480T3/7NkzyLKcsfyzZ8/w7bff4tGjR7rnnz59mvP59M9/9OiR4fOiTc+ePTN8Plub7Gir8Oabbzr+ndH+U1UBoMfjwdbWFnZ2dtDe3o7Ozk4Ae5N7ZAtfmpqasLOzg7W1NTQ1NTm+DfnkG/+vGrzxxhv41a9+pW5Hf38/BgYGdDMYX7p0CZIkYWVlRX1OlmVb29HT0wPAuIoynSRJ6n9aIqAUVaPiLzRerzfrX3CMunJbYWcA6PF41FVrt4cAACAASURBVBmwR0ZGIEkSIpGIrr2s8CMiIiIiIrtYLbwgovKrmgDQ4/EgkUggkUiolUySJKmBxvHjx3XLv/HGG1hbW9OFHoqiYGBgwNJ6C30UOj6cGLMOACKRSM5l6+rqEAwGEYvFHP9+0mnD2e7ubsTjcTQ1NamzGwcCAaysrGB6ehqjo6PqNtvZhpmZGQAwNfOzmFlZ+71pv4tSz7hsZwC4tLQEALqKVzEG5szMjOPHBhERERER1Q5ReOH3+x1vCxFlVzUBYDQaBaCfzEEER7n+0tDQ0IDx8XGkUikAe1V1VsIco3JdM0SXUau0VWdTU1NZl7t48SLu3btnW2hkt8nJSQDAxsYG4vG42pVZdG+OxWLqOHrie8wXZJ4+fdrS5BSbm5um9o1oa3rgKgLAcgSsdgWAjY2N6vHT09OjPi+qG0sxGzIREREREe1fVgoviMg5VREAiiBmd3dXfe7DDz+EoigZM5hmIyrSgMoecDMWixkGONkUGhqJijCrD7MndW2XUxHaars37+7uquPMiXAq2xiNkiQhGAxa2tbW1tacnyl4PB61a3L6/hb7yM6xI7VVhVYfZj5fu4+139Xu7i4Adv0lIiIiIiJ7bW5u6u7ViagyVUUAKMKk27dvY2xsDE+fPsXz588xPj5uabICUUVYaPfcUtNWbymKYmrbrIRiWl6vt6DKxubmZlOfn0wmAeirM7Vdffv7+9XnRbdgo2DW4/FgfX1dF4SZCSFFVV++EFX8tWp9fT3jNbFebVuL9eabbxru14cPHwLYq1DNtu+tHucieBVB5vr6Oif3ICIiIiIi24ieTNUy4SbRflYVAaAIk7744gt0dXWhoaGhoM8R47wNDw+bfk85uwD39/erIZfZAVQLDQBLSYwBkR7AiUo/7bZpK9bSu2YfP34c33zzDQKBAHZ2dtTlzEzqEYlETE2iIsLH6elp3fOnTp3KGcS2t7fjyZMntoXJdo4BKMaGTKVSiMfjSCQSGTMvExERERERFcts4cV+4fF4sLCwoA5BtrGxge7ubsfbReRyVUkAaCX4ySUajeacMTjXuq0+CgmGpqen1fenB1K52ldpAeDU1BSAzKo6o0o/M+M4ulwvuvSaWVZUUuabmVcbPqZXH4oqOqN1zczMqNWBlRgA9vT0IJVKIRwOFxyWExERERER5RONRk0VXuwXsVgMMzMzaGlpUXubKYpiatgyolKrigBQjIu3ubmpq2KSJAnhcBi9vb3qc0eOHMGhQ4cyPkOMAVip3X9drhehE2C+22klBoCiy7Z2X4uAC9BX+omqwOnpaXR2duac5EO7f3KFuJcuXTIM9dJp26StCtVOxBIIBDA0NITBwUHde8VYfpUYAIrx/vr6+hw/FoiIiIiIqDaZLbzIp62tDWtra1AUBYqiYG1tDU1NTY5vn1X9/f0Zky7evHkTQPHFTER2qIoAUDt2XDweh9/vh9/vx/Pnz3XBTW9vr7pcKBRSq59OnDiBRCKBmZkZx7clG+1kFPkCLq1KCwAlSTKcVCPbTL+bm5sA9rp3Lyws5PxsUV4O6GeDThcOh01Xeoru5aKb7NbWFubm5tRt2NrawoMHDzLeVw0BoPjPMxAI4Ec/+pHjxwYREREREdUOs4UXuTQ2NiIej2N8fBzHjx9HKBQCoJ80slp4vd6M8erFfePU1JTj7SOqigDQ5XJheHhYDWuSySQWFhYy/iogSRK++uorXZAWj8cRDAZx9OhRx7fBiNfrxdjYmG6MOwAIBoPw+Xw4duxYzvdXWgAoxv9LLwMX4y+mDw67srKCVCqFO3fu5D3Bayv2lpaWDJeRJAnJZBKRSMRUewcGBtTjamNjA++++67aLkVREAwGDdtVqQHg6dOnsb6+jrt37yIej+uOqa2tLZaeExERERGRLawUXmQzOTmZcU/1+PFjAPZOxuiU4eHhjOIYIqdUTQBIxiotACw1UTGYbXIOMZFKqUus7Q4Ajx8/DlmWsby8XPBn3LlzB4qioLOzU31OkiQMDg4ikUgAAObm5hz/DomIiIiIqLpZLbzI5sqVKxkBYiAQAICCJtasNPPz86Yn+CQqNQaAVW6/BYBiIFUAGBgYyHhdjN/X3Nxc0nbYHQAWS0xosri4aPi66ILNAJCIiIgqmSRJ8Pv9ak8GRVGwsbGB9vZ2x9uWy/e//334fD7dtSqgH2c6m46ODl0PpgcPHsDn81maOXR8fBwPHz50fD/Ugt/85jdZewHRC6UsvBCTYxZTWVgJPB4PUqmUrkCDyEkMAKvU0aNH8R//8R/qhdHIyMi+mPFVdDHOFmbJspwx+3ApVFoAKAbgzTZWht/vr5kyeiIiIqpNkiRhfX0d8XgcgUBAHZ9ZXO+mj61VqbSP6enpvMuLCQ8B4PHjx5b3WSgUwtLSEgMrG01PT2N9fZ37NIdSFl6sr6/XROHC4uJiUeMjEtmNASBVHe1YkNrnxTh65QjlKi0AdLlelMqvrKyok35IkoSRkREoisKZp4iIiKiiBQIBhMNhXegiSZI6BEw1BALaMatz9c4QpqamdMtbvV4Lh8PY3Nys6aDqyJEjaGlpKfs2hsNhxGKxmt63xZBluSQ90Xp6epBIJGwZu7yurg4tLS04dOhQ2fdPIBCoqHtFIpeLASBVobm5OfUiSTuYqgjATp06VfI2VGIA6HLtzXh969YtbG9vQ5ZldRbgSp0Eh4iIiEhYXl42DFvENV4oFHK8jflMTk7qAr3t7e2sy6Z3/U2/ts1HhIe13r1QBMDlrgBtbGxEMpk0VcW535Sq8EKSJMRiMduOaXHPFg6Hy7p/xB8ztM+1tbXlneCTqNQYAFLVGRgYUC+StLMKR6NRyLJcljZUagBIREREVGtEV8Nq6EoXDochyzK2t7fV69Vs45jFYjEsLS2pyymKYno9ra2tUBQFS0tLjm9zqTkVALpce+OPK4qC1tZWx/dDJRGhvN0z24bDYVt/504EgMPDw1heXsZrr72GlpYWtLS0oKurC1tbW1U/piFVPwaAVHUkSVL/WirKzsUkGOXoGtLb26uO1RKLxdDb28uuAUREREQmnDt3DpFIRO2p0NfXl3N5j8eDZDKp+6NvJZNlGaFQCIuLizmr+iYnJ5FIJDA8PKwuZ2U2VTHZSLlC0aNHj2J2dlb93s6dOwefz4fLly+XfN12BoCSJGF8fBxra2uQZRmRSARtbW1ZlxeVbvPz844fW5IkoaWlBV6vF4FAAK+++ipcLhdOnz6Nu3fv4t1331WXraurQyAQwOzsrC1dadNZKbyQJAmDg4PqPp+YmIDP58PY2BiOHz+uLhcOhzOKK7q7u4sKzewOANvb23Hr1i015Pf7/brXvV4vsj0q4RgiYgBIVUn719KOjg51lltOckFERERUeTweD7a2trCzs4P29nZ0dnaqVW/ZbvCbmpqws7ODtbU1NDU1Ob4N+Rw/fhwAMDo6qlZIiX9rlxPVe16vVze0zdTUlOl1iTGxSzEBQzoxmdzc3Bzq6urU626gPL1h7AoAxSQzwN7kLJIk4ebNm7qQZmZmxnBfK4ri+B/8L1y4gPv37wN4MRa69vgRv6XOzk4kEgn1ebvDcyuFF+I3nEgk8POf/xySJGF3d1dtr9in09PTuH37tlox19LSgvPnzxc9uaOdAeDQ0BAURUEikcDRo0fR1NSk68Kf61xGVCkYAFJV0l54+P1+LC0tVcR/zERERESk5/F4kEgkdAP7S5KkXstpq4BcLhfeeOMNrK2t6YIZRVEwMDBgab2FPgoNtcT16fHjx9XgwSgoiUaj6niGItwCzHenFOEpgJJ/dyLI1AYo2olO7O4CasSuAFBUTWorLcX3lKsrtVi/1+st+bbmMz09rX4fYpy5vr4+9fsYGhpCPB5Hd3c3IpFIxndnB7OFF+J3ryiKbky/cDis+x7SJ8LRPtIr7KyyKwBsbGxUwz7tMS+OjXKMQU9kBwaAVJUaGxvV/xjW19ehKErZB3clIiIiovyi0SgAfSWcCBGi0WjW9zU0NGB8fBypVArAXtWTlQqbu3fvFqTQoCcUCqndIkU1YPo2iq6/jY2NaiUVYG38PxFqlGIGVq3+/n4AwO7uru6P7CIATG+z3+9XK88SiQQmJiZsaYddAaAsyxnHoZi0Jde+FIFVJYz9LX5LkUhEnaFYGwjHYjG1W7gIAK1UlpphtvDC6Hev3Z92t8uIXQGgOF+ld3sWlbjVMD4pkcvFAJCqmPhPRTzS/3MhIiIiImeJG/Dd3V31uQ8//BCKoiAej5san0wbcFTyjbYY/0/8W1QMie6aouuv2AZtlaCV8f9EVV620EpboWfloQ24tF0106+xRbu1bZ6amsLKygq6urowODioBoFWrs8LfZg9JozCGjGskFHXX0EEVmZCJLGs1YeZ9msLIBRFUX872pmntd19xfbmq9I8d+4c3njjDVNtEGOx59sXIjBLD49drheBrp3Vo9ou91YeZkN0o6D41KlT6nfBrr9ULRgAUtUS45GIB0+8RERERJVFVCHdvn0bY2NjePr0KZ4/f47x8XFLQ7eIP/xWQhWWEVHNpw28xKRxwF634Gg0qgtOCh3/L18A2NzcXHTl46VLlwDshZfp39P8/DwAYHJyUn1ud3dXdy0uuqXmqvBMl61dIsh6+PCh4etvvvmmqc8X+1uEZCLIzBdEWwkAr1y5UtC+N9N+UZGZvu/FbyyRSKjfVU9PjxpOZfud1dXV4dGjR6a3zeVyYWBgIOM4NyLC4/QuvK2trepxZefvz+v1Gu7X1dVVAHtBpNHr169fN/X5IrwXwaskServuxyVjER2YQBIVUv7100rFxdEREREVB4ivPniiy/Q1dWFhoaGgj5HhDDDw8Om31POLsBiNl/teIbagG9lZQXJZFIXNBUy/p/L9aK6qpRdgEWotLi4qHteOxaa6JLb3NxsOBswsNcltdi22DkJiN/vRyqVgizLSCaTCAaDqKurM3XsmZn0opRu3LihhlnaUE/8xrShoKhYy1ZZ2tbWhng8rh5/ZsdSF8d0rsILET4C0I3953K9GIexXEM32TkJSHt7O548eYJkMolkMomNjQ3dzMtE1YABIFU1cUFQ7ACxRERERGQ/o4qlQkSjUctd7Qp9FFJlODc3lzE+mLZrJqAPL9O7c1qphhSVYHZXUWmJUCl9X4gAKN+6xSQvdsxAa1cAeOzYMcTjcUSjURw9etT0+xYXFwE4X+klKs609z3ZKv1EgGv0u3v//ffx9OlTBAIB3WzB+Sb1cLn2urnnK7zQHvfa50UVXa7zwbvvvoutrS3buvrbGQB+9tlnAICRkRFOPElViwEgVTXxV6RiLwiIiIiIyH4itNjc3NTdNEuShHA4jN7eXvW5I0eO4NChQxmfIcYArNTuvy6XC9vb2xkhg7bLZnolXaHj/7lc+vCwVEGEeExPT6vPicpDEah0dnbik08+MXz/wMAAFEVBa2tr0W2xKwAU4/2Nj48XtH4zAVmpaL9z7X4Q3cHTjyER4HZ2duLy5ct46aWXsn5P4pGvwlGEjfkKL7Tj8Ynj0+Px6LrEd3R04Pbt22q7Dhw4gLm5Oezs7ACwb6xPuwJAMd6fLMsM/6iqMQAkIiIiIqKS0IZG8Xgcfr8ffr8fz58/11XE9fb2qsuFQiG1q/CJEyeQSCRyTtLgNBEOpAeUIrTRTtggiHH00kM2s0SYZedEClpizEVFUeD3+/HkyROsrKyoYdjOzg7++Mc/Zq3IjEQitgW2dgeAALCxsYHZ2Vl0dXXlfR9Q2mpLM0SQlV5lajTTr3aYpE8//TTvbMwiLEz/7HRmCy+0wffKygoCgQCSyaSuS/zTp09x6dKljPeK8LBSA0BxLNy/fx8jIyMFD2lA5BQGgEREREREVDLDw8NqyJBMJrGwsICmpibdMpIk4auvvlK7CIrAMBgMWuquWS6SJMHn88Hv96vdKHd2duDz+XD27Fl1OVmW1QkT3njjDfh8PiwsLED7SCQSGBsbw4ULF0yvX1RulaoqsrOzE8+fPwcAfPPNNxgZGYHL5UIwGAQAfPXVV1nHzhseHrZ1jDc7AsD29nYsLS3h/v372N7e1u3/eDyeMVadIMIspwNoMf6ftkpPzMibHgS3trYilUohkUiYGjNTG8zlCpQ3Nzd1s3nnEgwGoSgKUqmU+nsX7Uomk/jwww8N31eJAaAkSRgfH8f6+joikYh6LhOPYDDo6LFBZAUDQCIiIiIioioTjUYNZ+l1UmdnJ9bX121t0/LyMmRZ1k2wYsXHH39sGCr19vaqXU6zjWsXDoeRSCQsjT1ZbbTd0bMFnWL2XjvGdMzF7gDw/fffhyzLuHXrVkHvb2xsRDweRywW0x3TDQ0NakUk4Gz3cCIrGAASERERERFVmY6ODiiKUjFjI3Z2diIej+u6O0uSpKuIdEIymcT29rbha2JcO6MAULxWyKzQ1URbSZhtZmkxsUepgy67A8Biie3OVkkpumAzAKRqwQCQiIiIiIioCg0MDCCVSqG7u9vRdjQ1NWF3dxenTp1CS0uLKhQKGY71Vk6yLBuOwyj2H5A5K63H4zHdhbYWaMdHNJq4RXR9LXU7Ki0AFGOYZqt8XF9fRyKRqKgqXKJcGAASERERERFVqb6+PiSTScdCwMbGRnUcxPRHJXRRFl1cd3Z2dJN+nD9/HolEImP226amJnzzzTcYGBhw/LstF+1kPelhqJjMZn5+vuTtqLQAUJIkdfbiQCCgTvrR0NCAUCiERCKRdfxIokrEAJCIiIiIiKiK1dXVZQQ39MLRo0cxOzuLjY0NyLKszgJ84sSJjGUvX76cMUlNrWtublYDwPTu0CJALUcoV2kBoMu1FwIODg7i/v37kGUZsiyrswBnmwiHqFIxACQiIiIiIiLax6LRqBoCaic9CYfDUBSlLBOhVGIASFRLGAASERERERER7WN+v18NAEdHR9Xnk8kkIpFIWdrAAJCotBgAEhEREREREe1jHR0dagAYDofhcrnQ399vOC6g3SRJwrlz59SxJJeWlnTjNRKRPRgAEhEREREREe1zu7u7AABFUSBJEm7cuAEAaG5udrxtRFQ8BoBERERERERE+5wI/ABgYGAAu7u72NzcdLxdRGQPBoBERERERERE+1xPT49uNmAACAQCjreLiOzBAJCIiIiIiIiIkEwmoX309PQ43iYisgcDQCIiIiIiIiLC/Py8Gv7Jsux4e4jIPgwAiYiIiIiIiAhDQ0NqADg3N+d4e4jIPgwAiYiIiIiIiAiSJEFRFHUiEKfbQ0T2YQBIRERERERERHC5XFhaWoKiKJAkyfG2EJF9GAASERERERERERHVMAaARERERERERERENYwBIBERERERERERUQ1jAEhERERERERERFTDGAASERERERERERHVMAaARERERERERERENYwBIBERERERERERUQ2riACwra2NiIiIiPYRp68/iYiIiPaTigkA3W43EREREe0TTl9/EhEREe0nDACJiIiIqOycvv4kIiIi2k8YABIRERFR2Tl9/UlERES0nzAAJCIiIqKyc/r6k4iIiGg/YQBIRERERGXn9PUnERER0X7CAJCIiIiIys7p608iIiKi/YQBIBERERGVndPXn0RERET7CQNAIiIiIio7p68/iYiIiPYTBoBEREREVHZOX38SERER7ScMAImIiIio7Jy+/iQiIiLaTxgAEhEREVHZOX39SURERLSfMAAkx73yyit4+PAhHj9+jNdff93Rtpw5cwZ/+tOfcODAAcf3CxERUSU5c+YM1tfXbfs/0unrTyIiIqL9xFQAGI1G8dprr5WsEQwAK0s0GsXMzEzZ1jcwMIBoNIpoNIqJiQnHtrulpQV//vOf8fXXX+M73/mO498DEe1f5ToPT0xMqOdfwek/xOTys5/9DOmP69evZ13+98eOASdP4j9aWx1p75n/+T+BkyeBkycd33dW9uni4qLhsufPn4eiKPj6669tCQGdvggmIiIi2k8qPgCcmZnJuDlJl36TVF9fD6/Xi4cPH1b8zUwlKvbG8969e7h3757p5UUFYCQSse27Gh0dRSQSMb38gQMH8PXXX+PPf/4zWlpailp3fX09JiYmsLy8jGg0isePH+PatWs4ePBg2b5Dp38DXq8X9+/fRzQaxerqKubm5soa9GvXH41Gce/ePXi93oI+6/XXX897DopGo/j7v/973ftaW1sxOztrS5Bz7969vOvXhufNzc2YnZ3F48ePEY1GEYlEcPny5bIeA04eg/X19bh8+TIikYj6G5ydncXhw4fLug+KwQDQmNUAcPy7380aAPY2NKjhXC7p7zv50kv4U3s7cPIkehsacrb3yF//tWMBoNnzsJUA0O12Y2RkJO9+N8vpi2AiIiKi/aSmAsD6+npcvHhRDV6q4WamEpU7ACwFcdyYXf769esAgIsXL9q27nShUAh1dXUl3e5K+A1k2/7V1VX88Ic/LPn6cwV2IyMjtn6eUQDY3t6OL774IucfKayyEgCeOHECq6urhstcvXq15Pvf6WOwvr4eoVDIcPsjkUjJf4N2KXclttv9Igys5P8zRVhl9rcsAsD/73/9r4zXrAaAPQ0NePb667rXzAaAT3/607Lup2LOw/kCQLfbjaWlJQDAmTNnimqn0xfBRERERPtJxQeA6XKFS2+99ZbuZvh3v/tdxd/MVKL9FgAePnwYiqJgeXm56PWK7swLCwvo6OiA270XCC0sLBQcQFlRCb+BiYkJXLt2Da3/p+Lm5ZdfVgOZjz76qOTrf/3113Ht2jX8+Mc/htu9FwiJ7yUUCtn2HQ8MDBi+fvv2bfUYeO+990oS5OT6zMOHD+M///M/8d5776G+vh5u914lkLj5f+WVV2r+GJyensZHH32El19+GW73XjWmqAb8xS9+UbZ2lOo7LpVaDABHX30VOHkS49/9bt5lRVh45K//OuO1BklSQ7/fHz0K/5EjpgLA/+d//A/g5ElstLeX/bss9DxsJgD86U9/CkVR8Ic//KGodjp9EUxERES0n9gSAPb19WF1dRW//vWvC2qEXQGg2+3Gl19+ifb/c6EtQqBib2ayfY64WdIGAeKmra2tDXfu3FFvuq9du2ZYeeL1etUb02wVPaICaWBgAM3NzZibm1M/d2pqSve5ovpGWzH08OHDrN3/ent7cefOHbViSFTtGHWr1nZrXV5extTUlGG3VrMBoNWuZ6KtYtn79++jt7dXfV07lmC+Kimtq1evAgAGBwdztre9vV23/jt37ujW73a7cfPmTcPtEN/h7du3Cz4Ozay/VL8Bt9uNgwcP4tq1axndSs1UVJ06daroQMPKMWjk3r17Re3/9OMsWwA4PDyMiYkJ1NfXq997OQPAbMSxmd5V2cr+N3tuKcUxaPXclm5oaCjrOcCs7u5uzM3Nqb+B5eVlzM7O4rtp4VI0GsX09LTuN5vr/wEr52Ft1+bV1VV88cUXaG5uzvjM9G7g2dqqlSsAnJ+fRzQaxQ9+8IOM137xi18gGo3qvotizhe5WA0Ae//2b20JAN1uN263tuL//Zu/0S2bLwB0u922BoDlOA+bCQDdbjdCoRAA4KdFVDc6fRFMREREtJ/YEgBOT0+rN2Tf+973LDfCzgBQy6kA8N69e4Zd8D777DPd+3/5y1+aCqtEiPDJJ58Yfq72pitXCJZ+wzQ4OJh12fQbBCvdWksRAJ47dy5rW81se64A8MmTJ/jLX/6Ss625ulVqv//V1dWMkKm1tRXBYDCjvVaYXX+pfgO5ulWaCaLEjeenn35a9O/QzDGo9fLLLxv+VguVLwDUqsQA0CjAsbLdZs4tpTgGC12/IALAYqpws60//TcfjUaxuLho+JtNr76ych7W/l+ba7nDhw9n/cNSJBLJGgLmCgAvX76cdf99/vnniEajatfSYs8XuVgNAK3IFwAaLWsmALRLuc7DZgPADz74AADwySefFLxNTl8EExEREe0ntlYAzszMFNQIJwLA//1XN/Hvf4WsfP/Xet7PyRYAipust99+G273XuWWuBnTdr9bXl7G8vIyTp06Bbd7L6gQN1JvvfWWupx2DDJt19KTJ0+qAYhY9ty5c5iamlK7P7rdbrz99ttYXV3VLffKK69gdXUVjx8/xttvv612Ffz+97+fcTMhbrw///xz9cbx5ZdfVm9G07vUFdIFOF/XM/EdaLers7MTwWAw5/Jm1g0AS0tLeY+71dVV3b56++23EYlE1BulH/zgB7p9Jyo10m/UfvKTn1i+STKzfqu/gUK+n48//ljXrfLWrVuIRqPo6urK+f6PP/4447i2wuoxqP0tRqN71U//+I//WNQ+SG9LNQWAhw8fNgynrTB7binVMVjo+oWbN28WPQ7ll19+idOnT6u/wdbWVjWQ0f6utf8PiCpdEb6Ew2F1OSvnYfG5wWBQ/Q0ePHgQ7733Hj7++GPdcuL/kenpacPfa7YuoLnOw6Kt6ceQeP7zzz/P+Jx854u/cf/fOf8f/ve/Ar73Vz/TrW8/B4DlOg+bDQAPHz5setlsnL4IJiIiItpPamoMwHROBYDLy8sZs02KZc+dOwe3242f/OQnhjd4IjDQVqqJ50KhkHqDaHV/pC83MjKSMzjRtmtmZgbLy8sZ666vr0c0mlnZWIoA8OrVq+p+SW9Hru8+33LiZvK3v/1t1mXE/jfqanjlyhX15l8sd/XqVUxMTKjVP48fP8bExAQ++eQTRKPWu2CaXb/V34AV9+7dw/z8fMbzJ06cQDQaxS9/+cus7xXLFBOCWT0GxXGstbq6um8rAH/3u99hdXUVJ06csLUd4tjI9Xu3sxt6Iet3u/cqldLPq3YR5y7t71ocb+n7W3RfFv+2ch52u/f+aKQNFY288soriEajhr9XEdZl21/5zsOBQADRqL6KVHT/feedd3TbaeZ8wQDQ+rFejvOwlVAvHo9je3u74G1y+iKYSM8UBwAAEk1JREFUymN0dFSdYTqVSkGWZciyjFQqpT6fSCTU5xVFUZ/v7+/P+LyGhgbcuXMHm5ubjm+bGefPn4fP58POzo66Xdvb26beK7rai33k9/vh8/kgSZKp9zc1NeGPf/wjent7Hd8P1e7VV1/F06dP0d3d7XhbiIgKtW8DQCsK6QKc/hlGocHq6iqWl5fVij5tBeA//dM/qcsZhYLZiDGiHj58mBGAaNslKgGM9k36TUK+GUjTK0JKEQAePnxYnUhjdXUVN2/eRF9fX97vLN96xc3k9evXsy5jpmvxW2+9pVYAal27dk0do+6zzz4rqALQ7PpL+RvIt/5sXcpOnDiBx48fG4bXVlg9BrUOHjwIr9eL1dVVW2YirrYAUFRJFht+mj23lOoYLHT9AwMDaoV6sfs9faw+rfQA0KhN6QGglfOw2+3GO++8oxsn8N///d/VsRbTj7ls/1+ISWqMXst3Hn7nnXcQjeq7AX/++edYXl7WdcMv9Hxhxn4OAMt1HrYSAG5vbzMApLzC4TBSqRQGBwd1z8uyrIZbHR0d6vOSJCEcDgMAGhsb1efr6uoQDAbVgLBaAkAhEAhA+8gX4nm9Xt3yfX19ltbX3d2NZDJp+X2UXVNTE+LxOIaGhhxvCxFRIRgAFvE5xQaAonorXSQS0d1MWQkAs42Tlt4uEQpUSwAonD59Gjdv3lQHQH/48KHheFZWA8BsXYm1352ZAE78OxgMZgzMf/v2bayurlo+/qo1APz5z3+uds80O1FHNsUEgMLFixdtCcKqJQCsr69X/6DwwQcfFL1Os+eWUh2DhaxfjPs3MzNTVACt/d6zKSQAtHIeFg4ePIiLFy/qJgSanp7OOOZyBYDZzkNmzsOLi4vq701UFKZ3KWYAWBrlOg9bCQCfPXvGAJDySiQS6Ozs1D3X3NysBlvJZDLjPeL8rX1uamoKhw4dwvz8fFUGgCLUFI/0faLV2NiIRCKRcx/l0tnZCUVRMDw87Ph2l0pdXR1aWlpw6NChsq5X7FuGgERUjfZtAFhsF+D6+nq1ksJMACi6Tonx/urr6xGJRLCwsKCOD/j48WPMzs5mdB82GwCKCrRIJKJWFWbbb+JGLz04Eje52hvPmzdv4sGDByX5jtLbYzYkqK+vVydR+dWvfpX1uzcz4QEALC8vZ31djN01NDSU97PEMZFeZfbDH/7QdFBVzPqt/AasePDgAW7evGl6+Q8++EC96Sw2eCnkGMzWpv0SAB48eBBffvmlLdvrdls7t6Sz4xgsZP3inGLXvhe/7YsXL+qO6WxdgM0EgFbOw0ZefvlltV3i/xaxr4y6iuYbC9LMeVgs84Mf/EDt/pt+vjN7vmAXYGvKdR42GwAeOHDAUlhoxOmLYCq9jo4OzM/PZzw/PDyshlvhcDjj9aGhIUxPTxt+pqikq7YAMJlM6gLAXOGctusvAEQiEdPrEeHh4uKi49tcSkNDQ1mPn1ILBAJIJpPweDyO7wciIitsnQTk17/+dUGNqPQAUNzwfPLJJ6ivr0dzc7M66Ha2AFBUpR08eFB9v/YiWcxq+8///M84evRozotzswGgWO7evXvqAOE//vGPMTU1lTHu01tvvYVodG9cwZdfflnXzvQbTzH74/T0tG4Afju+o/R9nO3Gc3Z2Fu+99566XW63G2fOnEE0ajz+m+ha98knn+StehCzAB84cMDw9fr6enXsrffeey/n54kxvRYWFtDa2gq3e2+QdtF92WisrwMHDuBPf/oTFEXBb37zm6LWb+U3oCX+Kv1f//Vfhq+LAPujjz7KOoOoIP5q/+WXX5q+6RwZGYGiKJBlGS0tLRmvWz0GtQ4ePKhOmLK6uqqbiMfs+rVKEQCeOXMGqVQKf/nLX3DmzJm8n5vrMw8fPoxQKGRpzMN8x6CVc0spjkGr6xe/f21lXD75fgMivNNO2nTx4kW1S3IhAaCV8/Drr7+O2dlZdHZ2qr+rgwcP4qOPPkI0+mJ8Wbfbjfn5eUSjmZNFiFA4W3hmJgAUf8wYGRnBzMyMYdBo9nzBANDaMVjq87BgNtTjLMBkxrFjx3Ds2LGM5+fm5tRwa3Jy0vT7XK7qDAA7OjoAAI8fP1a3+8aNG4bLer1eKIqCR48eqctOTU2ZXpfYt6dOnXJ8u0vJyQCwsbERiqJgbm7O8f1ARGSFLQGg6MYUjUbxve99z3Ij7AwA83WRsToBg9vtRldXl+FniVDHaBbgdOkDwmf7zGh0r1urtsuelS7AoprQaP3p+03MXql169Yt3Lt3T3fjWV9fb7isUQAqvqNsy2q3IV+3TrOfadT9VdxY51q/cPXqVQDA4OBg1v2aq/ufdr/m2lfZApvOzk71Ak9RlKLWX+hvQDvgdmdnZ8brhw8fznpsGYUfuRiFUtpuMdlCULPHoDZASf8NZAvE8q3f6LvI9lnZ1p/rOPjNb36jq4TI9zvPdTzlW7/R+dPMMWjl3FKKY9Ds+rWzptu5/qmpqazrN/oNmAkA3W7z5+Fc25U+bMSJEycMxymMRqO4c+eOblkr52Hh888/RzAYxOrqquEfNaycL6xyMgDcaG8HTp7Mqvdv/7ao9Tt9HhbMBoCiQumnP/1pwdvs9EUwOWd7e1t3vFt5bzUGgGIiFBFaAcZVfZIkIZFIYHJyEpubm+qyPT09ptYjgqly7RtJkjA4OIi1tTXIsoyJiQn4fD6MjY3h+PHjJV233QFge3s7bt26BVmWsb29Db/fn3N5ce3Y2trq+PFFRGSWrRWAMzMzBTWi0gNAt3vvL93Ly8vqzZbX61W7ZuYKAB8/foy5ubmMgdrd7r2qtmh0L/ATY9oZXaBbCQDb2tp0Y0Pdu3cP7733HmZmZjL22+HDhzE3N6e2c2pqCvX19Rk3nm73XqXJ1NSU4c1HOQLA9vZ2zM3Nqfsp137Vfmf379/Pun7tflAUBU+ePMm5b7NNAJC+Xw8ePIhr166pbV1eXsbExITupjtdMBhUL/KKXX8hv4ErV66o6//Zz35muP7m5mbMzs6qvwM7bzxbWlrUm99sE7KYPQbTA7BIJIJr165ljMlodf1CKQLAAwcO4Pnz56ZvvLN9jpn1Zzt/5jsGrZxbSnEMml1/oQFgvvXX19frfteRSAQfffQRvF6v4W/AbABo5Tzs9Xp1581IJIKpqSnDqmBxzhTni0gkgsuXL2echwoJAEXX39XV1azVZWbPF1bVcgDo9HlYMHMeEufMP/zhD0Vts9MXweSMfOP/5VONAWAoFIIsy3C5XOq2i39rzc3NIRaL6faRoiim1zM5OQkAZalMa2pqws7ODhKJBH7+859DkiTs7u6qbTY7U3Gh7AwAh4aGoCgKEokEjh49iqamJt0fZRRF0U1Io93XgUDA8eOLiMisqhsDsNLlusHWEl1FvV5vxmuXLl1CNGrctZVK47e//S0A4F//9V/Lvu5XX30V09PTAICNjY2yr/873/kO/uVf/gUAcnaFLqWTJ08iHo8DyF2JWavr/+EPf4iNjQ0AwNWrV8u+/v1+DDq9fjKvlAGgkyrpGDQTAIbDYSiKkjWoNMvpi2ByRr4quHyKDQDTZ+O18ih0m2VZRigUgsvl0lX2NTc3q8v09/dDURR0dHQUvI8WFxfLEkp5PB4kEgkoiqKr4BRVcdo2t7W1YW1tDYqiQFEUrK2toampybbjqNgAUFRNAvpKS/E9ZetKLdYfi8VKuq+JiOzEANBmZgNAMS6Wz+fTjWv3/e9/X525s9ZucCrZgQMHsL29jb/85S95x4Czk7YLjKIopsZ/s5O4UBSPch9zIyMjuvUXM5h8Na5fhBni8fXXX5f9xn+/H4NOr5+sqcUAsNKOwXznQnHezFctbYbTF8HkjBs3bqjHu5Wx7YRiA0Cv14u7d+8WpJD1HT9+HAAwOjoKl0s/wUd/fz9crhddf8X+0I6RaGUfidCq1DPURqNR3TYJIgAUbW5sbEQ8Hsf4+DiOHz+ubvvu7m7RFYJ2BYCie3Z6RaaYtCXbvhTjOgKFB8NEROXGANBmZgNAMYNtNgsLCzm7jJL9zpw5A0VR8PXXX5ctBBSh44MHD/Daa6+VfZsXFxeRSqXwxz/+Ef/wD/9Q9vWLG8lnz57h3/7t3/bd+kWY8d///d+4evWqI1U/+/0YdHr9ZE16aG5XEOUkp49Bo32aLQA8e/YsFEWx7Y8lTl8EkzNisZh6rJkd206r2roAi4BJjIk3NTWlbr+YAEV0/RWhWCHj/7lcL7oXZwuttGMeW3kYbY9RiCfaLdo8OTmZUY0oJkIR4afZ79vqw+zxIbryapc/deoUAOOuv4I2AOzo6HD8OCMiMoMBoM3MBoBu94vxnLRjuj18+BATExOWZnol+5w5cwbr6+vsAkhEVIFqMQB0mpUA8MyZM/jTn/5k2/+RTl8EU/k1Njaqx1mh48RVWwA4Nzenqy7zer3qPgiFQmrXX9GVttDx/1yu/AHglStXiq58FOP8pU+S0draCkA/ruOVK1cyAjTx/Xm9XlPblK1ic3V1FcBeEGn0+vXr1019fmtrq9o92ePxQJIkNaTOVX3JAJCIqpGpALDUaikAJCIiIqL8nL7+pPLr7+9XQ5NoNFrQZ1RbF+Dt7W11/D+XSx/wbW5uIpFIYHp6Wn29mDESZVnOGQAWq6enR21b+uzNMzMzAPJ3yRVjDmerrDPLzklA2tvb8eTJEySTSSSTSWxsbODdd9/N+R5tAKgdy5GIqJIxACQiIiKisnP6+pPKT4Q/AHShlxXVNAmICPvSx8oT48uJ7dBWQmrHSLQ6mYcYm090Lbab6C6bvi9EFZ2Zda+vr9syS7GdAeBnn30GYG8MVrNVqZ2dnQCsV2kSETmJASARERERlZ3T159UfiKgAsyPAZeumroADw8PA8jsIqrdD+mVdIWO/+dyvQgPCw1Xze57AGpQ5vF4dOM6dnR04Pbt23jppZcy3t/T04NEIgGPx1N0W+wKAMV4f7IsW+qSLtZfaCUrEZETGAASERERUdk5ff1J5eXxeNQqMaDwLqDz8/MAgO3tbce3KZ+lpSXDykER1N24cUP3vBhHLz1kM0uEWVa7Dpul7cK9srKCQCCAZDKpm7X46dOnuHTpUsZ7xdh66YFnoewOAIG98Qvv37+PkZERNDQ05HyfCENLVW1JRFQKDACJiIiIqOycvv6k8vB6vRgbG8POzo4u3AoGg/D5fDh27Jipz7lw4QIikYjuMx48eACfz1f0eHJ26u7uhs/nw4MHD9R2zszM6No5Ojqqm0XX5/PB7/cjHo/rti8UClnaRy7XXhfbQidYMSMYDEJRFKRSKSwsLKCpqQmtra1IpVJIJpP48MMPDd8XDodtHZvQjgBQkiSMj49jfX0dkUhE1zVbHKPZ3huNRnPOEkxEVIkYABIRERFR2Tl9/UlUi0SVXvosvU4Kh8MZ4xl2d3cXFZ69//77kGUZt27dKuj9jY2NiMfjiMViurC0oaFBndAEMO6qLiYAyTVLMBFRJWIASERERERl5/T1J1GtCoVCto21V6zp6Wncvn0bLS0tqvPnz2N9fd3RdokJTYaHhw1fF9WmRgFgJBJBLBZzfN8SEVnFAJCIiIiIys7p60+iWiVJElZWVhAOh0vWFdiMqakpZHs4XaE4OjoKIHMcRmF9fR2JRCJj/wUCAcRiMdTV1Tn+PRMRWcUAkIiIiIjKzunrT6JaJkkSHjx44HgIWKnEpCQAEAgE1Ek/Ghoa1ArK9AlLAoEAHj16xP1JRFWLASARERERlZ3T159E+8GHH36Ijo4Ox9tRiSRJwuDgIO7fvw9ZliHLsjoLcHqFX3NzM0ZGRhxvMxFRMRgAEhEREVHZOX39SURERLSfVEQASERERERERERERKXBAJCIiIiIiIiIiKiGMQAkIiIiIiIiIiKqYQwAiYiIiIiIiIiIahgDQCIiIiIiIiIiohrGAJCIiIiIiIiIiKiGMQAkIiIiIiIiIiKqYQwAiYiIiIiIiIiIahgDQCIiIiIiIiIiohrGAJCIiIiIiIiIiKiGMQAkIiIiIiIiIiKqYQwAiYiIiIiIiIiIahgDQCIiIiIiIiIiohrGAJCIiIiIiIiIiKiGMQAkIiIiIiIiIiKqYQwAiYiIiIiIiIiIahgDQCIiIiIiIiIiohrGAJCIiIiIiIiIiKiGMQAkIiIiIiIiIiKqYQwAiYiIiIiIiIiIahgDQCIiIiIiIiIiohrGAJCIiIiIiIiIiKiGMQAkIiIiIiIiIiKqYQwAiYiIiIiIiIiIatj/DxvQI7kBUqNrAAAAAElFTkSuQmCC" 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"display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle x =2 L \\left(1 - \\sin{\\left(\\alpha \\right)}\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "x=upgradeList(e0,e1,e2,e3,x,T1,T2,alpha,andsolve=(x,e3))" - ] - }, - { - "cell_type": "code", - "execution_count": 107, - "id": "dac827d3-84ab-4fc3-b858-e434eeff20bb", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =\\frac{- L k \\sin{\\left(\\alpha \\right)} + L k - \\frac{M g}{2} - \\left(- L m w^{2} + T_{1}\\right) \\sin{\\left(\\alpha \\right)}}{\\tan{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle e1 =- L k \\sin{\\left(\\alpha \\right)} + L k - \\frac{M g}{2} + T_{1} \\sin{\\left(\\alpha \\right)} - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle x =2 L \\left(1 - \\sin{\\left(\\alpha \\right)}\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T2 =\\frac{L k \\sin{\\left(\\alpha \\right)} - L k + \\frac{M g}{2}}{\\sin{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T2=upgradeList(e0,e1,e2,e3,x,T1,T2,alpha,andsolve=(T2,e2))" - ] - }, - { - "cell_type": "code", - "execution_count": 108, - "id": "a45a1599-adef-4830-adae-9ed505c7679e", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =\\frac{- 2 L k \\sin{\\left(\\alpha \\right)} + 2 L k + L m w^{2} \\sin{\\left(\\alpha \\right)} - M g - g m}{\\tan{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle x =2 L \\left(1 - \\sin{\\left(\\alpha \\right)}\\right)$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T2 =\\frac{L k \\sin{\\left(\\alpha \\right)} - L k + \\frac{M g}{2}}{\\sin{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =\\frac{L k \\sin{\\left(\\alpha \\right)} - L k + \\frac{M g}{2} + g m}{\\sin{\\left(\\alpha \\right)}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1=upgradeList(e0,e1,e2,e3,x,T1,T2,alpha,andsolve=(T1,e1))" - ] - }, - { - "cell_type": "code", - "execution_count": 109, - "id": "96303f58-8beb-4eb5-a141-7d695effa0fd", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle e0 =- 2 L k \\sin{\\left(\\alpha \\right)} + 2 L k + L m w^{2} \\sin{\\left(\\alpha \\right)} - M g - g m$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "e0.reduFac()" - ] - }, - { - "cell_type": "code", - "execution_count": 110, - "id": "33b3b7ed-a815-441b-b548-0e006d79aeaf", - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/latex": [ - "$\\displaystyle x =\\frac{2 L m w^{2} - 2 M g - 2 g m}{- 2 k + m w^{2}}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T1 =\\frac{L m \\left(- 2 L k w^{2} + M g w^{2} - 2 g k + 2 g m w^{2}\\right)}{- 4 L k + 2 M g + 2 g m}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle T2 =\\frac{L m \\left(- 2 L k w^{2} + M g w^{2} + 2 g k\\right)}{- 4 L k + 2 M g + 2 g m}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/latex": [ - "$\\displaystyle sin(alpha) =\\frac{2 L k - M g - g m}{L \\left(2 k - m w^{2}\\right)}$" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "T1=upgradeList(e0,e1,e2,e3,x,T1,T2,sin(alpha) ,andsolve=(sin(alpha),e0))" - ] - }, - { - "attachments": { - "2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAABUoAAAAECAIAAADXt5J4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAzSURBVHhe7dcBCQAACAMw2zym0TXHYbASm9sAAAAA1fQeAAAA6uk9AAAA1NN7AAAAKLd5jCnMx9KfoBcAAAAASUVORK5CYII=" - } - }, - "cell_type": "markdown", - "id": "6ca4ed80", - "metadata": {}, - "source": [ - "![line.png](attachment:2d984d64-4ed1-4ebe-be12-a4b1e9039eee.png)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": 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