From ab2d5aa1fb18078c3fb6dfa958621f1d4f7f18e7 Mon Sep 17 00:00:00 2001
From: Tom van Woudenberg <t.r.vanwoudenberg@tudelft.nl>
Date: Tue, 26 Mar 2024 17:00:42 +0100
Subject: [PATCH] Added more old stuff

---
 book/_toc.yml                                 |    6 +
 .../Structure_simple_cantilever.gif           |  Bin 0 -> 14727 bytes
 .../influence_line_3sup/Demo_class.ipynb      |  511 +++----
 .../Interactive_influence_line_simple_M.ipynb | 1262 ++++++++++++++++
 .../Interactive_influence_line_simple_V.ipynb | 1295 +++++++++++++++++
 ...nteractive_influence_line_simple_phi.ipynb | 1260 ++++++++++++++++
 .../Interactive_influence_line_simple_w.ipynb | 1244 ++++++++++++++++
 .../influence_line_cantilever/overview.md     |    5 +
 ...nteractive_influence_line_simple_phi.ipynb |    4 +-
 .../Interactive_influence_line_simple_w.ipynb |    4 +-
 10 files changed, 5268 insertions(+), 323 deletions(-)
 create mode 100644 book/advanced_structural_mechanics/data_influence_line_cantilever/Structure_simple_cantilever.gif
 create mode 100644 book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_M.ipynb
 create mode 100644 book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_V.ipynb
 create mode 100644 book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_phi.ipynb
 create mode 100644 book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_w.ipynb
 create mode 100644 book/advanced_structural_mechanics/influence_line_cantilever/overview.md

diff --git a/book/_toc.yml b/book/_toc.yml
index fe29d50..28a40e8 100644
--- a/book/_toc.yml
+++ b/book/_toc.yml
@@ -20,6 +20,12 @@ chapters:
       - file: advanced_structural_mechanics/influence_line_simple/Interactive_influence_line_simple_V.ipynb
       - file: advanced_structural_mechanics/influence_line_simple/Interactive_influence_line_simple_w.ipynb
       - file: advanced_structural_mechanics/influence_line_simple/Interactive_influence_line_simple_phi.ipynb
+    - file: advanced_structural_mechanics/influence_line_cantilever/overview.md
+      sections:
+      - file: advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_M.ipynb
+      - file: advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_V.ipynb
+      - file: advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_w.ipynb
+      - file: advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_phi.ipynb
     - file: advanced_structural_mechanics/influence_line_book/overview.md
       sections:
       - file: advanced_structural_mechanics/influence_line_book/Interactive_influence_line_simple_Av.ipynb
diff --git a/book/advanced_structural_mechanics/data_influence_line_cantilever/Structure_simple_cantilever.gif b/book/advanced_structural_mechanics/data_influence_line_cantilever/Structure_simple_cantilever.gif
new file mode 100644
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z^6%sd_=x!m7!-=Q`HCbIN|gCZj1<c3`O5qhD!5|#DsmL6YWb>q6lx~<YBm(=j``}I
zcoZ4|`5F-vnhE)u85CLt`C1he+70>II2{x^1Nk}=6uJxfx*HUF`}un36hCn9^MAZk
z=pz>BV^A9478sCF8d4S*GU8Agu@@NeQyPmE7|T)qR4e$YM`>b$Q($64Y3f*D>Pcx9
zP+%58X`WDEo`FqiQBYt}L221gVA(-wHBewRL1~S(P++}5X|rEob58l|zTlUTm;eC4
F^FP4zKaT(a

literal 0
HcmV?d00001

diff --git a/book/advanced_structural_mechanics/influence_line_3sup/Demo_class.ipynb b/book/advanced_structural_mechanics/influence_line_3sup/Demo_class.ipynb
index 103f2df..c89290a 100644
--- a/book/advanced_structural_mechanics/influence_line_3sup/Demo_class.ipynb
+++ b/book/advanced_structural_mechanics/influence_line_3sup/Demo_class.ipynb
@@ -1,5 +1,15 @@
 {
  "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "92b90de2",
+   "metadata": {},
+   "source": [
+    "#  Solve influence line using ODE\n",
+    "\n",
+    "![figuur 1](../data_influence_line_3sup/Structure.gif)"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 1,
@@ -7,7 +17,8 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "import sympy as sp"
+    "import sympy as sym\n",
+    "sym.init_printing()"
    ]
   },
   {
@@ -17,7 +28,7 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "x = sp.symbols('x')"
+    "x = sym.symbols('x')"
    ]
   },
   {
@@ -30,6 +41,14 @@
     "EI = 5000"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "aadee924",
+   "metadata": {},
+   "source": [
+    "## Find displacement line"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 4,
@@ -38,11 +57,13 @@
    "outputs": [
     {
      "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFIAAAAaCAYAAAAkJwuaAAAACXBIWXMAAA7EAAAOxAGVKw4bAAADX0lEQVRoBe2Y7U0bQRCGDUoBhBJIByR0QDqApIJAByD/87+IdJCkggg6ACrgowNSAqID53nOu6e9D19sa+/Akkca7/fOzDs7s3vemk6now0th8BkMtlhxRf4lPpHV7/zZ0OLIwBw+8w+DCsEtKANkBGJBUuAfGTqI+VRumQ7bWzqqyOwAXJ17CorG0CGHFCZtI6Noe2o5EiE7wHaBfx5HcGr6XyBPeewOa2VAtja+z/ydv7bNakCJBNP4Z9dC97CGEbpcHWVvDmLA0D/TdEz+9EO58R5ydCsynxBznJo6qF9xOZXDYlvqAP9BM6TFjk6/5q+8iYNdsRnSu8WlEAGJVKP9i58RQEnrDtJQaMd9R7X9ryqzasNL99kvz3YdKCsok77LA1tPXu+/NaDrzAcXwIXwjHkBS7qtR/DW84WZcgxVzZw2vITkUHD5Zay+NyhvlaE3ob0Jeyl8CtVnvYD7WPKzssiXbNKPZ5Iw0XPNQgFBNlx6QD+Bpvcv8LSHXOyeXy25eK/yDYPGmoNEMMu3x2DG6cojGcpYo6cp4RCfEb8kKnfwb/hQ9oqJsiLPB+YlpeQvw+fsasgGe73bRKYo5PLS6htTo6+bQTp0da3FmOexBQoc5NKxfDZrY3THIbQze9dHXyMxD/wA/V5gN0wpp29kaGtIq1hTf89CqS5xRyqAQI6onRtJzHHU3sLWy5K5rRW57ZtwFxvZ3W6pHwf6ulU7RvD8XZPx7LUBfIJNuc1CIXqxvgfnDlnYQpGZbvE2M+/sUYtuhnanjq5nrO1Lz0QNPOSOdIwNc90EoqroKeqVJK+HblzYf5Bb2HDeBm5nsZ5UZdFQ3OkIfFMWTmVKgr7tSCAkmD7Xks9O6bt+iFJeTGUU7mfQqMSvuinXdqX6p2uy1L3REp6q34qY5iohN5/dmIk+hz3Fh+afC1cp0LRxUtGHX191B2rXb2eRnUpHuRWUOAJ/mBdoq5i3tjmUNvekCrsR77hJcBlmNMejJCrE9OLzlPnM61yGlWIvopd9vVBKZCC9qqP69wGAmLheMp6tOUWNYqh7cZt4Z1d4MAbCmD6Du5NfAkkXjMZ71Ia0mtPwQ7t6fWSiUCVQIYOT2X8ro5z1rWc+/9BHwZVgMR7vikP+hD0CnseBHsGEf0PigAteEOKRKoAAAAASUVORK5CYII=",
       "text/latex": [
        "$\\displaystyle {\\left\\langle x - 3 \\right\\rangle}^{-1}$"
       ],
       "text/plain": [
-       "SingularityFunction(x, 3, -1)"
+       "       -1\n",
+       "<x - 3>  "
       ]
      },
      "metadata": {},
@@ -51,7 +72,7 @@
    ],
    "source": [
     "q_BC = 0\n",
-    "q_AB = sp.SingularityFunction(x,3,-1)\n",
+    "q_AB = sym.SingularityFunction(x,3,-1)\n",
     "display(q_AB)"
    ]
   },
@@ -63,23 +84,15 @@
    "outputs": [
     {
      "data": {
-      "text/latex": [
-       "$\\displaystyle C_{1} - {\\left\\langle x - 3 \\right\\rangle}^{0}$"
-      ],
-      "text/plain": [
-       "C_1 - SingularityFunction(x, 3, 0)"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
+      "image/png": "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",
       "text/latex": [
        "$\\displaystyle - \\frac{C_{1} x^{3}}{30000} - \\frac{C_{2} x^{2}}{10000} - C_{3} x + C_{4} + \\frac{{\\left\\langle x - 3 \\right\\rangle}^{3}}{30000}$"
       ],
       "text/plain": [
-       "-C_1*x**3/30000 - C_2*x**2/10000 - C_3*x + C_4 + SingularityFunction(x, 3, 3)/30000"
+       "      3       2                      3\n",
+       "  C₁⋅x    C₂⋅x                <x - 3> \n",
+       "- ───── - ───── - C₃⋅x + C₄ + ────────\n",
+       "  30000   10000                30000  "
       ]
      },
      "metadata": {},
@@ -87,13 +100,12 @@
     }
    ],
    "source": [
-    "C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8 = sp.symbols('C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8')\n",
-    "V_AB = - sp.integrate(q_AB,x) + C_1\n",
-    "display(V_AB)\n",
-    "M_AB = sp.integrate(V_AB,x) + C_2\n",
+    "C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8 = sym.symbols('C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8')\n",
+    "V_AB = - sym.integrate(q_AB,x) + C_1\n",
+    "M_AB = sym.integrate(V_AB,x) + C_2\n",
     "kappa_AB = M_AB / EI\n",
-    "phi_AB = sp.integrate(kappa_AB,x)+C_3\n",
-    "w_AB = - sp.integrate(phi_AB,x)+C_4\n",
+    "phi_AB = sym.integrate(kappa_AB,x)+C_3\n",
+    "w_AB = - sym.integrate(phi_AB,x)+C_4\n",
     "display(w_AB)"
    ]
   },
@@ -105,11 +117,15 @@
    "outputs": [
     {
      "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQgAAAAuCAYAAADUdIdgAAAACXBIWXMAAA7EAAAOxAGVKw4bAAALCElEQVR4Ae2d7ZHUOBCGh60NALgIDjJY2AhYMgAuAiADqP3Hvy3IAIiAgwyACPjIAC6C4zYD7n00bpXstWf8LdmjrtLqw7LUei21u1vy7LXfv39vDoFevHhxS+M8U/ilQPpU4ULl3xVnaomA8LququdFdXCEHqv8cpvMf9eEwPGaBrNnLC91/acm8hvqKX6m6LPCDfKZWiPwUtg9tdpKv1b6m8JtK8vxehA4Ws9Q9o7kQjXeBbX+UBptIlM3BJ5IKKCJGSF4b6nsxApyvB4EDkaD0ASumhIP9BiZ3Jm6IYD28LXbLbn2UhG4NqcPQosU+/WJwn2F0Gb9qGtvFLBpnyp+rngSUtuYFn8pvFP61SSdTNyo+I6Oow1RvCBkHyjOJoaBsqJ4NgGhCcTCxLmFqo8w8AJCad7mCA1UV2xc5ydQehJS+yyw9woIpkUJCfGbEo6YFeB4R3z556l8ppUgMLmACBYj2sFD5auqvoNS5Ti70C5uK/3TFU74R30wuXGuMblreZqw+85Ni0cTakngKH7gg2fGM83CofMTXcYNc/gg2ClgMv25ZyLxJnqkOqMLB7XJ4vpH4Z7SJgxsUt9VuZUpmSxFx9GQEYY8z+eK0fo2RZ549GdnfeY4DgJHU3arCYN9ypu6zT75L9X7ewp+xAfCgPbDCYw5Q/kkfard0SgVHBmQeDHN4bXSJwQV4zMC30wrQ2AyDaKYSNjLnD340AI3Fi8qa2tSu2gGmCUQB58eKzCBcUJCX4K+Hyp/rvy/7sq2fvK2s/hlPCnhiFkG7sSexKc/G+ELc2LxCEwmIISMTZhWi14TjLd5V1XfH9rR/SyitwoIBdRf+kWDccJJedru2r5uiU6p4ZgPlkWfEvMxMKWAYGcCaqM9bGsWf7WYeWuyMD4WReR/qdy3pTSaQ3iOAQFDn2gR0E2F8LorXOCf3jjaWIUVOJjmdKm83yU6IBwNjhx3QOCoQ92uVVmgG03A0O5vbEP1UFuNEAgIAAQEmgA7G144KA99rbR9R2XfVYag2CjGu+4XAmULpSE4ggOmgJ35+KR0VaM7FBwX+vjjsj2lBoHTKlz0jSPVJOYtiSAJTYBwx+HKvbonrMv1RwoXVyouv6A3jsIIzQEB4LAiVnA7DwaLXbO84rXiGAwxJ9siMKWA4G3FuX3O6e/TIk5Vp6ohbFR2pjYQMp+UdppB3cCCer4NlTnhtOu+urYSLBuCI1oYmhQaGbsN4Eh7taRrhvcacawdcy7cjcCUJobZ/2ZD13KiSUm9ujf/ucoRLEzot6rn21H6ugKnIJnQEP4KbOtQELFj0ShU3F3L+NMLR40dAUlAYyAGR5y6tuuzoY7CoeCo4WfqisBkAkITj8XK1mJpUhqDun6m4ISD4tJCVp43HW8+tki5hgDhIJURgoGA45LJjxruSWVc++ILFpwAA7HfB0fnu9C9P9SG+WY4r8D5BTQK6GBw3A43/+2KwFxHrREETEoTBCzo95qotequyvn4p6rm/qd77nOPAkKBNn8obJR/pYCGwdsSpxyCw9+v/OJJ47Exd8GRXwMqHSVXO5TxQRzfw1ibB4Pj4ifCzAOYXED0GU8xif3EVp5FwSSe5TuNPjyneI9wAzOEgRfEBbZO0KbI81Q8adwIQ8wrXiKXQT+YWLN8SRz0OUtyjDEfz8Jp907Yngz9CWgHHzTgsKx7q4d3B1oW5okTEMIPRyVmmxcYhwCJxsshOnxamKqYrl5AKI22ytYv5hZ4rYLGGnOqGgTSngfK4R5++WmjAWM/Z+qIQDFRwBAs+c0GTpn6BdKxuUVV1ziZR/iu0EARDG67tzoIlSMg0C6iaqjiAyHFrl/v8zu6d9QxJ6lBaJBM4CwQBMJQEpaL+r2LoeOt3P9ZeYRDtC+JK/zsy7K4CUNo1DEnKSCGoJPvzQiAgAQj5gImVcmk4FoN4TRP/qveGr5LRVOMOQuIEsQ5swYEtFDQGvA7pPIl8eSwTjXmo8k5zx1kBOZHgINzEL6FvaTFxSE7558oFtree1SB8z1sr2PCceaGL4k524NpjJkwt8Oz95jFayNlDaIRmnxhwQjYqds+Z2Fw4qKBIFxKu2YqNyGCQzMUAPjM6POxAsQhtfC6K5z4z5AxbzQ2xoRgw6HtBJzKfh7rDxkcG8Rt6YpHWO2s6l90aTzXdoExFm7VPjKOVURq81fmX6WWO0UqLEsLvFLHZ3mWCpdFAcLhrAi+jhLsLNhbeu8XsOGN1bT6QvjQR5WMb+snvM5pWLasm8ju7TxmtYs55o8RKI8sYPfnPgICYPhUehCpnZ0LalDjCd48Fm7VoWUcq4j0yuN0bPXCE968eVlUTjsgXX0GynM83S9apa2uqjvq9AVs2JY1QKxyeGGbs8/O05Axc3iMMTnhov4xuZzAyT4IoZJpdQjYwTC0gX10qsUQLviSaaBr5Bu33HUdTQBh5M0ZlaGRtBJQ+5jrcH3ImPndFU6UurErxtxw/pssIDo8gVx1MQjYIje7vJbxYkFchBdV5lV0pbmfhYOW7UhpFn+KX8AOGTMaC0LwmcaGq4ADY+6wVhYQ7rHnP2tCQJObRd7nC1gPg9pAAyh9x1JcNP9EUl8SDxmz7j3R2E4VcDWgCSEonAaR5FFrMZgpIzAYgWKR82bF1DAtAFu98Uti61T32tHrknkRtMmHcBvlR/uSWG0N8UE41gP+Wo9Z93xT8H5IpRGCOCnvjS4g1DiMmUMHKUyePeMrHwipzNQi+06Ael7F032OYtWz/mPGGjvSnYfV+BP9sfBp229M/Pr2rbHxswE4J3t/F9G1b/U1WED06JP1yThxVHpSnrX55ciXjJBQowgE9pEtIChQVbDZSvag8jwA+4l6s4GoB8OeYtXzDERIaMzYubzlwI4DOCVMQpZi4dO235DXhaURzHMTWo5pOrP0refIC/mmYtZuSMy5T6MKCDWIWvZEnYXCwDSHc+td192hDMWh5xdgyDvbh7qx6tF3TNK42WZirx8B+66Jl1j4tO23ie+FlLNwvs7Jq3Dlx5Bm01iCsZm/Bt8DAe3BffU7toBgu6gkBdVZnUSEoXBryXjlyOqZ7jFpFque8ZN6HAuftv2mjl8jf5qDePLr5mjjPUu9oHFy9gOHrDs6rhjh4Ez9UQWEGkUC3iA2sJQ2bcJrBrqGEwRnUZXM/8B1KFa9be/p/42FT9t+00cwc7gTgVEFRLUnCQcmEuqK+w1ErqvMtAOyTVRnE9XVHb1eXScplmUcU3wq6+PpeIohafLi4EE4nCqgpoW23E3loTrTY3tlezItVj3jIfU4Fj5t+00dv8xfCwSmEhAIBWe/SVhgYrDPitPNOyX38MYXZW0oVr02vKVQJxY+bftNAaPMww4EJjUx6LcQCmgLbNthXtT5HqgK2duJcxGx6jlGFvAnFj5t+10AhJnFfQiMKiAkAE4INZ2aicEOhZkWCIsqWRle1Sj1qgylmo+FT9t+U8Ut89UNgVEFhLrm8BPmhC30Jm7Y5bhVc9E0CNsFiVWvhrUki2Lh07bfJEHLTLVHYGwBwVufH56wt79xcrdI2MLn6LCVWR3iOwr2b+LIx6pH30ugWPi07XcJGGYedyAwtoDgwxa+LfckYYGTEo2CrU4nOBRzWoyv4bjmSGnq8MMb9rNdm1j1thwl89ccfqZdecZi4dO2X89oTiwWgSk+1mJ7k5N2RpgSVz7W0iRDIHBGAqGBU5It0QuVf1fsKVY9z0CkhMbNWxoCT7ACFw6S8b2KP44bC5+2/YrfTAtG4H8L3liUw0l+ggAAAABJRU5ErkJggg==",
       "text/latex": [
        "$\\displaystyle - \\frac{C_{5} x^{3}}{30000} - \\frac{C_{6} x^{2}}{10000} - C_{7} x + C_{8}$"
       ],
       "text/plain": [
-       "-C_5*x**3/30000 - C_6*x**2/10000 - C_7*x + C_8"
+       "      3       2            \n",
+       "  C₅⋅x    C₆⋅x             \n",
+       "- ───── - ───── - C₇⋅x + C₈\n",
+       "  30000   10000            "
       ]
      },
      "metadata": {},
@@ -117,11 +133,11 @@
     }
    ],
    "source": [
-    "V_BC = - sp.integrate(q_BC,x) + C_5\n",
-    "M_BC = sp.integrate(V_BC,x) + C_6\n",
+    "V_BC = - sym.integrate(q_BC,x) + C_5\n",
+    "M_BC = sym.integrate(V_BC,x) + C_6\n",
     "kappa_BC = M_BC / EI\n",
-    "phi_BC = sp.integrate(kappa_BC,x)+C_7\n",
-    "w_BC = - sp.integrate(phi_BC,x)+C_8\n",
+    "phi_BC = sym.integrate(kappa_BC,x)+C_7\n",
+    "w_BC = - sym.integrate(phi_BC,x)+C_8\n",
     "display(w_BC)"
    ]
   },
@@ -132,14 +148,14 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "eq1 = sp.Eq(w_AB.subs(x,0),0)\n",
-    "eq2 = sp.Eq(M_AB.subs(x,0),0)\n",
-    "eq3 = sp.Eq(w_AB.subs(x,5),0)\n",
-    "eq4 = sp.Eq(w_BC.subs(x,5),0)\n",
-    "eq5 = sp.Eq(M_AB.subs(x,5),M_BC.subs(x,5))\n",
-    "eq6 = sp.Eq(phi_AB.subs(x,5),phi_BC.subs(x,5))\n",
-    "eq7 = sp.Eq(w_BC.subs(x,10),0)\n",
-    "eq8 = sp.Eq(M_BC.subs(x,10),0)"
+    "eq1 = sym.Eq(w_AB.subs(x,0),0)\n",
+    "eq2 = sym.Eq(M_AB.subs(x,0),0)\n",
+    "eq3 = sym.Eq(w_AB.subs(x,5),0)\n",
+    "eq4 = sym.Eq(w_BC.subs(x,5),0)\n",
+    "eq5 = sym.Eq(M_AB.subs(x,5),M_BC.subs(x,5))\n",
+    "eq6 = sym.Eq(phi_AB.subs(x,5),phi_BC.subs(x,5))\n",
+    "eq7 = sym.Eq(w_BC.subs(x,10),0)\n",
+    "eq8 = sym.Eq(M_BC.subs(x,10),0)"
    ]
   },
   {
@@ -150,15 +166,14 @@
    "outputs": [
     {
      "data": {
+      "image/png": "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",
+      "text/latex": [
+       "$\\displaystyle \\left\\{ C_{1} : \\frac{38}{125}, \\  C_{2} : 0, \\  C_{3} : - \\frac{1}{5000}, \\  C_{4} : 0, \\  C_{5} : \\frac{12}{125}, \\  C_{6} : - \\frac{24}{25}, \\  C_{7} : \\frac{11}{12500}, \\  C_{8} : \\frac{3}{1250}\\right\\}$"
+      ],
       "text/plain": [
-       "{C_1: 38/125,\n",
-       " C_2: 0,\n",
-       " C_3: -1/5000,\n",
-       " C_4: 0,\n",
-       " C_5: 12/125,\n",
-       " C_6: -24/25,\n",
-       " C_7: 11/12500,\n",
-       " C_8: 3/1250}"
+       "⎧     38                                  12      -24         11             ⎫\n",
+       "⎨C₁: ───, C₂: 0, C₃: -1/5000, C₄: 0, C₅: ───, C₆: ────, C₇: ─────, C₈: 3/1250⎬\n",
+       "⎩    125                                 125       25       12500            ⎭"
       ]
      },
      "metadata": {},
@@ -166,35 +181,55 @@
     }
    ],
    "source": [
-    "sol = sp.solve([eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8],[C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8])\n",
+    "sol = sym.solve([eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8],[C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8])\n",
     "display(sol)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 9,
    "id": "f6072eab",
    "metadata": {},
    "outputs": [
     {
      "data": {
+      "image/png": "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",
       "text/latex": [
        "$\\displaystyle - \\frac{19 x^{3}}{1875000} + \\frac{x}{5000} + \\frac{{\\left\\langle x - 3 \\right\\rangle}^{3}}{30000}$"
       ],
       "text/plain": [
-       "-19*x**3/1875000 + x/5000 + SingularityFunction(x, 3, 3)/30000"
+       "       3                  3\n",
+       "   19⋅x      x     <x - 3> \n",
+       "- ─────── + ──── + ────────\n",
+       "  1875000   5000    30000  "
       ]
      },
      "metadata": {},
      "output_type": "display_data"
-    },
+    }
+   ],
+   "source": [
+    "w_sol_AB = w_AB.subs(sol)\n",
+    "display(w_sol_AB)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "f276910d",
+   "metadata": {},
+   "outputs": [
     {
      "data": {
+      "image/png": "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",
       "text/latex": [
        "$\\displaystyle - \\frac{x^{3}}{312500} + \\frac{3 x^{2}}{31250} - \\frac{11 x}{12500} + \\frac{3}{1250}$"
       ],
       "text/plain": [
-       "-x**3/312500 + 3*x**2/31250 - 11*x/12500 + 3/1250"
+       "     3         2               \n",
+       "    x       3⋅x     11⋅x    3  \n",
+       "- ────── + ───── - ───── + ────\n",
+       "  312500   31250   12500   1250"
       ]
      },
      "metadata": {},
@@ -202,41 +237,37 @@
     }
    ],
    "source": [
-    "w_sol_AB = w_AB.subs(sol)\n",
     "w_sol_BC = w_BC.subs(sol)\n",
-    "display(w_sol_AB)\n",
     "display(w_sol_BC)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 11,
    "id": "d0e6031e",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
      },
      "metadata": {},
      "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<sympy.plotting.plot.Plot at 0x1887f180340>"
-      ]
-     },
-     "execution_count": 10,
-     "metadata": {},
-     "output_type": "execute_result"
     }
    ],
    "source": [
-    "sp.plot((-w_sol_AB,(x,0,5)),(-w_sol_BC,(x,5,10)))"
+    "sym.plot((-w_sol_AB,(x,0,5)),(-w_sol_BC,(x,5,10)));"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "9f4e606c",
+   "metadata": {},
+   "source": [
+    "# Find influence lines $A_v$"
    ]
   },
   {
@@ -247,6 +278,10 @@
    "outputs": [
     {
      "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOCAYAAAAWo42rAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAz0lEQVQoFXWS4Q2CMBCFhQkIbqAjqBvgBsoGOkf/GUbQFXQENjAyAhtA2AC/V3tGG2hyeXdfH71LSzKO48KWc64KeYeuiQrWiiVmBLyoL+hDG2iGiO3J2zTAM5qZKbAB1UdX1d6IHolGIFpP6kKnm7EA9JFJpZ8PLdIwy4TnD+U6MQ9IM82tb+s5g/GlTpyazQzWrdOM1lL3Fi9jn3tktyZWsYvaTqzteu7A7YRxA2vU1RtJboAePZiZXG1L4iT2+9ba0E8xEPopdoTe3r/YGx/SQ0OZAIYmAAAAAElFTkSuQmCC",
+      "text/latex": [
+       "$\\displaystyle 0$"
+      ],
       "text/plain": [
        "0"
       ]
@@ -266,155 +301,92 @@
    "execution_count": 13,
    "id": "5e539894",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle C_{1}$"
-      ],
-      "text/plain": [
-       "C_1"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle - \\frac{C_{1} x^{3}}{30000} - \\frac{C_{2} x^{2}}{10000} - C_{3} x + C_{4}$"
-      ],
-      "text/plain": [
-       "-C_1*x**3/30000 - C_2*x**2/10000 - C_3*x + C_4"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
-    "V_AB = - sp.integrate(q_AB,x) + C_1\n",
-    "display(V_AB)\n",
-    "M_AB = sp.integrate(V_AB,x) + C_2\n",
+    "V_AB = - sym.integrate(q_AB,x) + C_1\n",
+    "M_AB = sym.integrate(V_AB,x) + C_2\n",
     "kappa_AB = M_AB / EI\n",
-    "phi_AB = sp.integrate(kappa_AB,x)+C_3\n",
-    "w_AB = - sp.integrate(phi_AB,x)+C_4\n",
-    "display(w_AB)"
+    "phi_AB = sym.integrate(kappa_AB,x)+C_3\n",
+    "w_AB = - sym.integrate(phi_AB,x)+C_4"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 14,
    "id": "90b7890a",
    "metadata": {},
    "outputs": [],
    "source": [
-    "eq1 = sp.Eq(w_AB.subs(x,0),1)"
+    "eq1 = sym.Eq(w_AB.subs(x,0),1)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 15,
    "id": "c055d210",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "{C_1: -60, C_2: 0, C_3: 1/4, C_4: 1, C_5: 60, C_6: -600, C_7: 11/20, C_8: 3/2}"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
-    "sol = sp.solve([eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8],[C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8])\n",
-    "display(sol)"
+    "sol = sym.solve([eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8],[C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8])"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 16,
    "id": "765a502d",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle \\frac{x^{3}}{500} - \\frac{x}{4} + 1$"
-      ],
-      "text/plain": [
-       "x**3/500 - x/4 + 1"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle - \\frac{x^{3}}{500} + \\frac{3 x^{2}}{50} - \\frac{11 x}{20} + \\frac{3}{2}$"
-      ],
-      "text/plain": [
-       "-x**3/500 + 3*x**2/50 - 11*x/20 + 3/2"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "w_sol_AB = w_AB.subs(sol)\n",
-    "w_sol_BC = w_BC.subs(sol)\n",
-    "display(w_sol_AB)\n",
-    "display(w_sol_BC)"
+    "w_sol_BC = w_BC.subs(sol)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 17,
    "id": "0b948d17",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
      },
      "metadata": {},
      "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<sympy.plotting.plot.Plot at 0x18802029490>"
-      ]
-     },
-     "execution_count": 18,
-     "metadata": {},
-     "output_type": "execute_result"
     }
    ],
    "source": [
-    "sp.plot((-w_sol_AB,(x,0,5)),(-w_sol_BC,(x,5,10)))"
+    "sym.plot((-w_sol_AB,(x,0,5)),(-w_sol_BC,(x,5,10)));"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "9911e8f1",
+   "metadata": {},
+   "source": [
+    "## Find influence line $V$ for $x= 5^{-}$"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 18,
    "id": "5c75c79c",
    "metadata": {},
    "outputs": [
     {
      "data": {
+      "image/png": "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",
       "text/latex": [
        "$\\displaystyle - \\frac{C_{1} x^{3}}{30000} - \\frac{C_{2} x^{2}}{10000} - C_{3} x + C_{4} + {\\left\\langle x - 4.9999 \\right\\rangle}^{0}$"
       ],
       "text/plain": [
-       "-C_1*x**3/30000 - C_2*x**2/10000 - C_3*x + C_4 + SingularityFunction(x, 4.9999, 0)"
+       "      3       2                            \n",
+       "  C₁⋅x    C₂⋅x                            0\n",
+       "- ───── - ───── - C₃⋅x + C₄ + <x - 4.9999> \n",
+       "  30000   10000                            "
       ]
      },
      "metadata": {},
@@ -422,130 +394,94 @@
     }
    ],
    "source": [
-    "w_AB = - sp.integrate(phi_AB,x)+C_4 + sp.SingularityFunction(x,4.9999,0)\n",
+    "w_AB = - sym.integrate(phi_AB,x)+C_4 + sym.SingularityFunction(x,4.9999,0)\n",
     "display(w_AB)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 19,
    "id": "41dba06f",
    "metadata": {},
    "outputs": [],
    "source": [
-    "eq1 = sp.Eq(w_AB.subs(x,0),0)\n",
-    "eq2 = sp.Eq(M_AB.subs(x,0),0)\n",
-    "eq3 = sp.Eq(w_AB.subs(x,5),0)\n",
-    "eq4 = sp.Eq(w_BC.subs(x,5),0)\n",
-    "eq5 = sp.Eq(M_AB.subs(x,5),M_BC.subs(x,5))\n",
-    "eq6 = sp.Eq(phi_AB.subs(x,5),phi_BC.subs(x,5))\n",
-    "eq7 = sp.Eq(w_BC.subs(x,10),0)\n",
-    "eq8 = sp.Eq(M_BC.subs(x,10),0)"
+    "eq1 = sym.Eq(w_AB.subs(x,0),0)\n",
+    "eq2 = sym.Eq(M_AB.subs(x,0),0)\n",
+    "eq3 = sym.Eq(w_AB.subs(x,5),0)\n",
+    "eq4 = sym.Eq(w_BC.subs(x,5),0)\n",
+    "eq5 = sym.Eq(M_AB.subs(x,5),M_BC.subs(x,5))\n",
+    "eq6 = sym.Eq(phi_AB.subs(x,5),phi_BC.subs(x,5))\n",
+    "eq7 = sym.Eq(w_BC.subs(x,10),0)\n",
+    "eq8 = sym.Eq(M_BC.subs(x,10),0)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 20,
    "id": "cbbb0e04",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "{C_1: -60, C_2: 0, C_3: 1/4, C_4: 0, C_5: 60, C_6: -600, C_7: 11/20, C_8: 3/2}"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
-    "sol = sp.solve([eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8],[C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8])\n",
-    "display(sol)"
+    "sol = sym.solve([eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8],[C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8])"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 21,
    "id": "2dc80a30",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle \\frac{x^{3}}{500} - \\frac{x}{4} + {\\left\\langle x - 4.9999 \\right\\rangle}^{0}$"
-      ],
-      "text/plain": [
-       "x**3/500 - x/4 + SingularityFunction(x, 4.9999, 0)"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle - \\frac{x^{3}}{500} + \\frac{3 x^{2}}{50} - \\frac{11 x}{20} + \\frac{3}{2}$"
-      ],
-      "text/plain": [
-       "-x**3/500 + 3*x**2/50 - 11*x/20 + 3/2"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "w_sol_AB = w_AB.subs(sol)\n",
-    "w_sol_BC = w_BC.subs(sol)\n",
-    "display(w_sol_AB)\n",
-    "display(w_sol_BC)"
+    "w_sol_BC = w_BC.subs(sol)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 22,
    "id": "5b383c14",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
      },
      "metadata": {},
      "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<sympy.plotting.plot.Plot at 0x18801f3b550>"
-      ]
-     },
-     "execution_count": 24,
-     "metadata": {},
-     "output_type": "execute_result"
     }
    ],
    "source": [
-    "sp.plot((-w_sol_AB,(x,0,5)),(-w_sol_BC,(x,5,10)))"
+    "sym.plot((-w_sol_AB,(x,0,5)),(-w_sol_BC,(x,5,10)));"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "98a5ee73",
+   "metadata": {},
+   "source": [
+    "## Find influence line $M$ for $x = 3$"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 38,
+   "execution_count": 23,
    "id": "3bd16c9c",
    "metadata": {},
    "outputs": [
     {
      "data": {
+      "image/png": "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",
       "text/latex": [
-       "$\\displaystyle \\frac{C_{1} x^{3}}{30000} + \\frac{C_{2} x^{2}}{10000} + C_{3} x + C_{4} + {\\left\\langle x - 1.0 \\cdot 10^{-6} \\right\\rangle}^{1}$"
+       "$\\displaystyle \\frac{C_{1} x^{2}}{10000} + \\frac{C_{2} x}{5000} + C_{3} + {\\left\\langle x - 3 \\right\\rangle}^{0}$"
       ],
       "text/plain": [
-       "C_1*x**3/30000 + C_2*x**2/10000 + C_3*x + C_4 + SingularityFunction(x, 1.0e-6, 1)"
+       "    2                       \n",
+       "C₁⋅x    C₂⋅x               0\n",
+       "───── + ──── + C₃ + <x - 3> \n",
+       "10000   5000                "
       ]
      },
      "metadata": {},
@@ -555,149 +491,86 @@
    "source": [
     "q_AB = 0\n",
     "q_BC = 0\n",
-    "V_AB = -sp.integrate(q_AB,x)+C_1\n",
-    "M_AB = sp.integrate(V_AB,x)+C_2\n",
+    "V_AB = -sym.integrate(q_AB,x)+C_1\n",
+    "M_AB = sym.integrate(V_AB,x)+C_2\n",
     "kappa_AB = M_AB/ EI\n",
-    "phi_AB = sp.integrate(kappa_AB,x)+C_3 + sp.SingularityFunction(x,0.000001,0)\n",
-    "w_AB = sp.integrate(phi_AB,x)+C_4\n",
-    "display(w_AB)"
+    "phi_AB = sym.integrate(kappa_AB,x)+C_3 + sym.SingularityFunction(x,3,0)\n",
+    "display(phi_AB)\n",
+    "w_AB = sym.integrate(phi_AB,x)+C_4"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 39,
+   "execution_count": 24,
    "id": "afe33308",
    "metadata": {},
    "outputs": [],
    "source": [
-    "V_BC = -sp.integrate(q_BC,x)+C_5\n",
-    "M_BC = sp.integrate(V_BC,x)+C_6\n",
+    "V_BC = -sym.integrate(q_BC,x)+C_5\n",
+    "M_BC = sym.integrate(V_BC,x)+C_6\n",
     "kappa_BC = M_BC/EI\n",
-    "phi_BC = sp.integrate(kappa_BC,x) + C_7\n",
-    "w_BC = sp.integrate(phi_BC,x) + C_8"
+    "phi_BC = sym.integrate(kappa_BC,x) + C_7\n",
+    "w_BC = sym.integrate(phi_BC,x) + C_8"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 25,
    "id": "80a909e0",
    "metadata": {},
    "outputs": [],
    "source": [
-    "eq1 = sp.Eq(w_AB.subs(x,0),0)\n",
-    "eq2 = sp.Eq(M_AB.subs(x,0),0)\n",
-    "eq3 = sp.Eq(w_AB.subs(x,5),0)\n",
-    "eq4 = sp.Eq(w_BC.subs(x,5),0)\n",
-    "eq5 = sp.Eq(M_AB.subs(x,5),M_BC.subs(x,5))\n",
-    "eq6 = sp.Eq(phi_AB.subs(x,5),phi_BC.subs(x,5))\n",
-    "eq7 = sp.Eq(w_BC.subs(x,10),0)\n",
-    "eq8 = sp.Eq(M_BC.subs(x,10),0)"
+    "eq1 = sym.Eq(w_AB.subs(x,0),0)\n",
+    "eq2 = sym.Eq(M_AB.subs(x,0),0)\n",
+    "eq3 = sym.Eq(w_AB.subs(x,5),0)\n",
+    "eq4 = sym.Eq(w_BC.subs(x,5),0)\n",
+    "eq5 = sym.Eq(M_AB.subs(x,5),M_BC.subs(x,5))\n",
+    "eq6 = sym.Eq(phi_AB.subs(x,5),phi_BC.subs(x,5))\n",
+    "eq7 = sym.Eq(w_BC.subs(x,10),0)\n",
+    "eq8 = sym.Eq(M_BC.subs(x,10),0)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 41,
+   "execution_count": 26,
    "id": "4b77295f",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "{C_1: -6.00000000000000e-5,\n",
-       " C_2: 0.0,\n",
-       " C_3: -0.999999750000000,\n",
-       " C_4: 0.0,\n",
-       " C_5: 6.00000000000000e-5,\n",
-       " C_6: -0.000600000000000000,\n",
-       " C_7: 5.50000000000000e-7,\n",
-       " C_8: -1.50000000000000e-6}"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
-    "sol = sp.solve([eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8],[C_1,C_2,C_3,C_4,C_5,C_6,C_7,C_8])\n",
-    "display(sol)"
+    "sol = sym.solve([eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8],[C_1,C_2,C_3,C_4,C_5,C_6,C_7,C_8])"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 42,
+   "execution_count": 27,
    "id": "35b21cd2",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle - 2.0 \\cdot 10^{-9} x^{3} - 0.99999975 x + {\\left\\langle x - 1.0 \\cdot 10^{-6} \\right\\rangle}^{1}$"
-      ],
-      "text/plain": [
-       "-2.0e-9*x**3 - 0.99999975*x + SingularityFunction(x, 1.0e-6, 1)"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/latex": [
-       "$\\displaystyle 2.0 \\cdot 10^{-9} x^{3} - 6.0 \\cdot 10^{-8} x^{2} + 5.5 \\cdot 10^{-7} x - 1.5 \\cdot 10^{-6}$"
-      ],
-      "text/plain": [
-       "2.0e-9*x**3 - 6.0e-8*x**2 + 5.5e-7*x - 1.5e-6"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "w_AB_sol = w_AB.subs(sol)\n",
-    "w_BC_sol = w_BC.subs(sol)\n",
-    "display(w_AB_sol)\n",
-    "display(w_BC_sol)"
+    "w_BC_sol = w_BC.subs(sol)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 43,
+   "execution_count": 28,
    "id": "18a1787c",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
      },
      "metadata": {},
      "output_type": "display_data"
-    },
-    {
-     "data": {
-      "text/plain": [
-       "<sympy.plotting.plot.Plot at 0x1880259afd0>"
-      ]
-     },
-     "execution_count": 43,
-     "metadata": {},
-     "output_type": "execute_result"
     }
    ],
    "source": [
-    "sp.plot((w_AB_sol,(x,0,5)),((w_BC_sol),(x,5,10)))"
+    "sym.plot((w_AB_sol,(x,0,5)),((w_BC_sol),(x,5,10)));"
    ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "id": "a59993f3",
-   "metadata": {},
-   "outputs": [],
-   "source": []
   }
  ],
  "metadata": {
@@ -716,7 +589,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.13"
+   "version": "3.9.18"
   }
  },
  "nbformat": 4,
diff --git a/book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_M.ipynb b/book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_M.ipynb
new file mode 100644
index 0000000..4e4c5c6
--- /dev/null
+++ b/book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_M.ipynb
@@ -0,0 +1,1262 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "cb00690e",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "#  Influence line moments\n",
+    "\n",
+    "Click {fa}`rocket` --> {guilabel}`Live Code` on the top right corner of this screen to investigate some influence lines!"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "87220397",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "![figuur 1](../data_influence_line_cantilever/Structure_simple_cantilever.gif)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "c2a2b984",
+   "metadata": {
+    "tags": [
+     "thebe-remove-input-init",
+     "auto-execute-page"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "import micropip\n",
+    "await micropip.install(\"ipympl\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "2a09cc31",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import sympy as sym\n",
+    "import matplotlib.pylab as plt\n",
+    "from ipywidgets import widgets, interact\n",
+    "from matplotlib.patches import Arc,StepPatch\n",
+    "\n",
+    "%matplotlib widget"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "9833b193",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "EI, x = sym.symbols('EI, x',real=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "bde8c2e5",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "Av, Am = sym.symbols('Av, Am',real=True)\n",
+    "a, L= sym.symbols('a, L ',positive=True,real=True)\n",
+    "C1, C2, C3, C4 = sym.symbols('C1, C2, C3, C4')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "a71d33c8",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "q = -Am * sym.SingularityFunction(x,0,-2) - Av * sym.SingularityFunction(x,0,-1) + 1 * sym.SingularityFunction(x,a,-1)\n",
+    "V = -sym.integrate(q,x)+C1\n",
+    "M = sym.integrate(V,x)+C2\n",
+    "kappa = M / EI\n",
+    "phi = sym.integrate(kappa,x)+C3\n",
+    "w = - sym.integrate(phi,x)+C4\n",
+    "eq1 = sym.Eq(w.subs(x,0),0)\n",
+    "eq2 = sym.Eq(phi.subs(x,0),0)\n",
+    "eq3 = sym.Eq(M.subs(x,-1),0)\n",
+    "eq4 = sym.Eq(M.subs(x,L),0)\n",
+    "eq5 = sym.Eq(V.subs(x,-1),0)\n",
+    "eq6 = sym.Eq(V.subs(x,L+1),0)\n",
+    "sol = sym.solve([eq1,eq2,eq3,eq4,eq5,eq6],[C1,C2,C3,C4,Av,Am])\n",
+    "V_sol = V.subs(sol)\n",
+    "V_subs = V_sol.subs([(L,6),(a,2),(EI,5000)])\n",
+    "V_numpy = sym.lambdify([L,a,EI,x],V_sol.rewrite(sym.Piecewise))\n",
+    "M_sol = M.subs(sol)\n",
+    "M_subs = M_sol.subs([(L,6),(a,2),(EI,5000)])\n",
+    "M_numpy = sym.lambdify([L,a,EI,x],M_sol.rewrite(sym.Piecewise))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "1d3a96ca",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Find M-line ##"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "f884113d",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\begin{cases} 0 & \\text{for}\\: x > 2 \\\\x - 2 & \\text{for}\\: x > 0 \\\\0 & \\text{otherwise} \\end{cases}$"
+      ],
+      "text/plain": [
+       "Piecewise((0, x > 2), (x - 2, x > 0), (0, True))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "44e7c8790ba64cfd992f5bce0c7c6ff0",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "image/png": 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",
+      "text/html": [
+       "\n",
+       "            <div style=\"display: inline-block;\">\n",
+       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+       "                    Figure\n",
+       "                </div>\n",
+       "                <img 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' width=640.0/>\n",
+       "            </div>\n",
+       "        "
+      ],
+      "text/plain": [
+       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "display(sym.simplify(M_subs.rewrite(sym.Piecewise)))\n",
+    "M_numpy = sym.lambdify([L,a,EI,x],M_sol.rewrite(sym.Piecewise))\n",
+    "x_plot = np.linspace(0,5,1000)\n",
+    "\n",
+    "plt.figure()\n",
+    "plt.plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "plt.plot(x_plot,M_numpy(L=6,a=2,EI=1500,x=x_plot),color=\"blue\")\n",
+    "plt.xlabel('$x$')\n",
+    "plt.ylabel('Moment')\n",
+    "axs = plt.gca()\n",
+    "axs.grid()\n",
+    "axs.invert_yaxis()\n",
+    "title0 = 'Moment distribution for force at $x_F =  2 $'\n",
+    "axs.set_title(title0)\n",
+    "axs.axis('equal')\n",
+    "vervormingsteken = Arc(xy = [0.5,M_numpy(L=6,a=2,EI=1500,x=0.01)*1/3],width = 0.5, height = 0.5,theta1=180,theta2=0)\n",
+    "axs.add_patch(vervormingsteken)\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "42c42d00",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "##  Finding influence line for M ##"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "7b2168b3",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "00f0ebdcf5ef424c87b7e0ebfcbc6860",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "image/png": 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",
+      "text/html": [
+       "\n",
+       "            <div style=\"display: inline-block;\">\n",
+       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+       "                    Figure\n",
+       "                </div>\n",
+       "                <img 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' width=640.0/>\n",
+       "            </div>\n",
+       "        "
+      ],
+      "text/plain": [
+       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "q = -Am * sym.SingularityFunction(x,0,-2) - Av * sym.SingularityFunction(x,0,-1) \n",
+    "V = -sym.integrate(q,x)+C1\n",
+    "M = sym.integrate(V,x)+C2\n",
+    "kappa = M / EI\n",
+    "phi = sym.integrate(kappa,x)+C3 + sym.SingularityFunction(x,a,0)\n",
+    "w = -sym.integrate(phi,x)+C4\n",
+    "eq1 = sym.Eq(w.subs(x,0),0)\n",
+    "eq2 = sym.Eq(phi.subs(x,0),0)\n",
+    "eq3 = sym.Eq(M.subs(x,-1),0)\n",
+    "eq4 = sym.Eq(M.subs(x,L),0)\n",
+    "eq5 = sym.Eq(V.subs(x,-1),0)\n",
+    "eq6 = sym.Eq(V.subs(x,L+1),0)\n",
+    "sol = sym.solve([eq1,eq2,eq3,eq4,eq5,eq6],[C1,C2,C3,C4,Av,Am])\n",
+    "w_sol = w.subs(sol)\n",
+    "w_subs = w_sol.subs([(L,5),(a,2),(EI,5000)])\n",
+    "#display(sym.simplify(w_subs.rewrite(sym.Piecewise)))\n",
+    "M_inf_numpy = sym.lambdify([L,a,EI,x],w_sol.rewrite(sym.Piecewise))\n",
+    "\n",
+    "plt.figure()\n",
+    "x_plot = np.linspace(0,5,1000)\n",
+    "plt.plot([0,5],[0,0],color='black',linewidth=2)\n",
+    "plt.plot(x_plot,M_inf_numpy(L=5,a=2,EI=5000,x=x_plot),color=\"blue\")\n",
+    "plt.xlabel('$x_F$')\n",
+    "plt.ylabel('Influence factor moment')\n",
+    "axs = plt.gca()\n",
+    "axs.grid()\n",
+    "axs.invert_yaxis()\n",
+    "title0 = 'Influence line for moment at $x_M = 2$'\n",
+    "axs.spines['right'].set_color('none')\n",
+    "axs.spines['top'].set_color('none')\n",
+    "axs.spines['bottom'].set_position('zero')\n",
+    "axs.spines['left'].set_position('zero')\n",
+    "axs.set_title(title0);\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "af1d5023",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Comparison M-line and influence line for moment at $x = ...$ #"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "2806cb4d",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "2067e6bc802847c0bea3ae8a365c75e0",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "interactive(children=(FloatSlider(value=2.0, description='Location moment x_M = ... (m)', layout=Layout(width=…"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "fe2bb9635fdb4d85831e7d7a655bf38e",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "image/png": 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",
+      "text/html": [
+       "\n",
+       "            <div style=\"display: inline-block;\">\n",
+       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+       "                    Figure\n",
+       "                </div>\n",
+       "                <img 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' width=700.0/>\n",
+       "            </div>\n",
+       "        "
+      ],
+      "text/plain": [
+       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig, axs = plt.subplots(2, 1, figsize=(7, 6))\n",
+    "x = np.linspace(0,6,100)\n",
+    "def func(a,b):\n",
+    "    axs[0].clear()  # Clear the existing plot\n",
+    "    axs[1].clear()\n",
+    "    axs[0].plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "    axs[0].grid()\n",
+    "    #axs[0].axis('equal')\n",
+    "    axs[0].plot(x,M_numpy(6,b,1500,x),color='blue')\n",
+    "    axs[0].plot(a,M_numpy(6,b,1500,a),marker='o')\n",
+    "    axs[0].annotate('%.2f kNm' % M_numpy(6,b,1500,a),xy = [a,M_numpy(6,b,1500,a)+0.2])\n",
+    "    axs[0].annotate(text='', xy=(b,0), xytext=(b,-0.4), arrowprops=dict(arrowstyle='simple'))\n",
+    "    #vervormingsteken = Arc(xy = [b,-M_numpy(6,b,1500,b)*1/3],width = M_numpy(6,b,1500,b)/3, height = M_numpy(6,b,1500,b)/3,theta1=180,theta2=0)\n",
+    "    #axs[0].add_patch(vervormingsteken);\n",
+    "    #axs[0].set_ylim([-6,0])\n",
+    "    axs[0].invert_yaxis()\n",
+    "    title0 = 'Moment distribution for force at $x_F = '+str(b)+'$, showing moment at $x_M = '+str(a)+'$'\n",
+    "    axs[0].set_title(title0)\n",
+    "    axs[1].plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "    axs[1].grid()\n",
+    "    axs[1].plot(x,M_inf_numpy(6,a,1500,x),color='blue')\n",
+    "    axs[1].plot(b,M_inf_numpy(6,a,1500,b),marker='o')\n",
+    "    axs[1].annotate('%.2f kNm' % M_inf_numpy(6,a,1500,b),xy = [b,M_inf_numpy(6,a,1600,b)+0.2])\n",
+    "    axs[1].invert_yaxis()\n",
+    "    #axs[1].set_xlim([0,6])\n",
+    "    title1 = 'Influence line for moment at $x_M = '+str(a)+'$'\n",
+    "    axs[1].set_title(title1)\n",
+    "\n",
+    "    axs[0].spines['right'].set_color('none')\n",
+    "    axs[0].spines['top'].set_color('none')\n",
+    "    axs[0].spines['bottom'].set_position('zero')\n",
+    "    axs[0].spines['left'].set_position('zero')\n",
+    "    axs[1].spines['right'].set_color('none')\n",
+    "    axs[1].spines['top'].set_color('none')\n",
+    "    axs[1].spines['bottom'].set_position('zero')\n",
+    "    axs[1].spines['left'].set_position('zero')\n",
+    "    plt.draw()  \n",
+    "\n",
+    "    \n",
+    "interact(func, a = widgets.FloatSlider(min=0, max=6, value=2, step=0.1, description=\"Location moment x_M = ... (m)\",readout_format='.1f',style= {'description_width': '180px'},layout = {'width': '400px'}),\n",
+    "         b = widgets.FloatSlider(min=0, max=6, value=2, step=0.1, description=\"Location unit load x_F =  ... (m)\",readout_format='.1f',style= {'description_width': '180px'},layout = {'width': '400px'}) );"
+   ]
+  }
+ ],
+ "metadata": {
+  "celltoolbar": "Diavoorstelling",
+  "hide_code_all_hidden": true,
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.9.18"
+  },
+  "widgets": {
+   "application/vnd.jupyter.widget-state+json": {
+    "state": {
+     "030c899a770e452fa6c19a16f5f72909": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "08a936a0195040239977989233eba3f7": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "097335eec168447e84a2e176f5e4b09f": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
+     "09b41ffb62c74929ac670ed540e930a7": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
+     "0a93d39eeb014f6ca51015777cfb0382": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
+     "0d267a54ebc549858e9234f40961968b": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location rotation $x_\\phi$ = ... (m)",
+       "layout": "IPY_MODEL_a82882d52b124039a020b3cb7253ca97",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_c7478192ea14409ea0020e3d305db9b6",
+       "value": 2
+      }
+     },
+     "0e97aea98c334df19bc1e49b44ba0549": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_4f45eff818fa405895e6c878b107632b",
+        "IPY_MODEL_efabf2a4993847ef8f6973a4d2aad604",
+        "IPY_MODEL_decee5f068bf4f9a9953bb1440c517b7"
+       ],
+       "layout": "IPY_MODEL_ef4b01a438fa480cb0bccc1f1741d08e"
+      }
+     },
+     "142c84e6b6664ff38902598288ccb50c": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location unit load $x_F = $ ... (m)",
+       "layout": "IPY_MODEL_c6c9547873fb4b108a305afee194ae2c",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.1,
+       "style": "IPY_MODEL_4b638ef934004b04a1fb36e202122a58",
+       "value": 2
+      }
+     },
+     "1809c9b8edbd453ab87832b22601e0a5": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "212999408cd24d8c957b1110da7b2b47": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
+     "2f4d1c0ad87841b895be3ee0f9506786": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location rotation $x_\\phi$ = ... (m)",
+       "layout": "IPY_MODEL_b03ac1eca6fc499b90b1e4fa98004ad9",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_0a93d39eeb014f6ca51015777cfb0382",
+       "value": 2
+      }
+     },
+     "324eb4bee8d449ae8adc43504fb47432": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location unit load $x_F = $ ... (m)",
+       "layout": "IPY_MODEL_ee74131150b643e98b2d8893baeff48a",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.1,
+       "style": "IPY_MODEL_80cb13f155db479eb13bba8b58dbb303",
+       "value": 2
+      }
+     },
+     "34fcf1bcf05c45388cb264a79e2957cf": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "38437965d3b4455495bc7ae48c750fef": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_818550c5e40f403daf10d168d3afe423",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "3c74c46546f54680b9bfdc46c0ff6793": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_08a936a0195040239977989233eba3f7",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_c68a1d748f7b4965a8a676e735ade730",
+       "value": 2
+      }
+     },
+     "3cc2c2c0f1c54e2eb2baa25f5a7d8c17": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "3d6a9a32f81a4e7f97e6a02fdf27747d": {
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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "5999d83c1f3b450f884587961917827a": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "400px"
+      }
+     },
+     "613b69c3f7a940999f4d517d8875e270": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "200px"
+      }
+     },
+     "6357aa1ae06348ec8646dfa1affee8ae": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "180px"
+      }
+     },
+     "67821cda3cdf4758a7a290525f4fe334": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "6a3206e7c662439e9952a34c8e1b1c11": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "450px"
+      }
+     },
+     "6b86b81b263b47d6bff88eae7ac27298": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "400px"
+      }
+     },
+     "6c83f03cf9b542e7867f74bf02fd309f": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_b6bfcc1721ed4ff690a3d14eb9aa24c9",
+        "IPY_MODEL_b2bcba57ab5a4d8f8a16c2dd6011e987",
+        "IPY_MODEL_c7ef95d387614764b178ae0f80debc89"
+       ],
+       "layout": "IPY_MODEL_9e60aac8a0184880817218d4acbaa2c7"
+      }
+     },
+     "6e565f5b398f4650abb8949fc453bd88": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "720825e419354d708cd90f75607e8da5": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location displacement $x_w$ = ... (m)",
+       "layout": "IPY_MODEL_3cc2c2c0f1c54e2eb2baa25f5a7d8c17",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_09b41ffb62c74929ac670ed540e930a7",
+       "value": 2
+      }
+     },
+     "760d3d9f63d8405b89c5fecfed33ee53": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
+     "801df073b4044471be6694da65e4a542": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_9ee1c3b31a14458685d906e8d03bd369",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
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+        }
+       ]
+      }
+     },
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+      }
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+      "state": {
+       "description": "Location unit load $x_F = $ ... (m)",
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+      "model_name": "VBoxModel",
+      "state": {
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+        "widget-interact"
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+        "IPY_MODEL_c8e7012749b84fa39305a33c26a799b3"
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+       "layout": "IPY_MODEL_3f039c47c7834b83a3d9ae18f204d6c7"
+      }
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+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_720825e419354d708cd90f75607e8da5",
+        "IPY_MODEL_c40ca55f04234e45b85cecb3c42566c2",
+        "IPY_MODEL_58bd61bdd2a44d75b61689a5b533bd00"
+       ],
+       "layout": "IPY_MODEL_57ea6daf56ad4016a935df2b14caa4fa"
+      }
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+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "9ee1c3b31a14458685d906e8d03bd369": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "a2b3cea1700646bc9f54cc7a7053e41f": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_e28fb4589aa54b48ac27afcbf0c851b1",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "a81a014c7e9b4244b99d90f6a675e007": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "a82882d52b124039a020b3cb7253ca97": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "b03ac1eca6fc499b90b1e4fa98004ad9": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "b2bcba57ab5a4d8f8a16c2dd6011e987": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_6a3206e7c662439e9952a34c8e1b1c11",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_40e3c2b00bc54b8baf5896b0d60fb9e0",
+       "value": 2
+      }
+     },
+     "b6bfcc1721ed4ff690a3d14eb9aa24c9": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location shear force $x_V$ = ... (m)",
+       "layout": "IPY_MODEL_3e7a4aeafd38411eab5f3749620bae52",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_613b69c3f7a940999f4d517d8875e270",
+       "value": 2
+      }
+     },
+     "b747b04968174ff7aca2e216a529da7c": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_030c899a770e452fa6c19a16f5f72909",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "be613857b5f6499eacd079ae92bc474d": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_c06016ffccc842b88cfd56dddfe1f3b0",
+        "IPY_MODEL_89d163072ee64374bf7014553dbda556",
+        "IPY_MODEL_38437965d3b4455495bc7ae48c750fef"
+       ],
+       "layout": "IPY_MODEL_42585c89d47c4b559ad5d24d1c42ad13"
+      }
+     },
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+       "layout": "IPY_MODEL_6b86b81b263b47d6bff88eae7ac27298",
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+        "IPY_MODEL_801df073b4044471be6694da65e4a542"
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+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_8eef1357de9245b195bb8c469bd7ead3",
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+       "step": 0.2,
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+       "value": 2
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+      }
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+      "state": {
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+      }
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+      "model_module_version": "1.5.0",
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+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_1809c9b8edbd453ab87832b22601e0a5",
+       "outputs": [
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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "c8e7012749b84fa39305a33c26a799b3": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_6e565f5b398f4650abb8949fc453bd88",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "cea905bad6214edcae92d53ddf6236e4": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_34fcf1bcf05c45388cb264a79e2957cf",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_097335eec168447e84a2e176f5e4b09f",
+       "value": 2
+      }
+     },
+     "d1243bb73d99438fb10124692d04bd75": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "180px"
+      }
+     },
+     "decee5f068bf4f9a9953bb1440c517b7": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_a81a014c7e9b4244b99d90f6a675e007",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "e28fb4589aa54b48ac27afcbf0c851b1": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "ee74131150b643e98b2d8893baeff48a": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "400px"
+      }
+     },
+     "ef4b01a438fa480cb0bccc1f1741d08e": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "efabf2a4993847ef8f6973a4d2aad604": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_3db4c46a998f4fb1a2cc006abec9e021",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_212999408cd24d8c957b1110da7b2b47",
+       "value": 2
+      }
+     },
+     "f2711953728449f9bf46f1396288470c": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_0d267a54ebc549858e9234f40961968b",
+        "IPY_MODEL_3c74c46546f54680b9bfdc46c0ff6793",
+        "IPY_MODEL_a2b3cea1700646bc9f54cc7a7053e41f"
+       ],
+       "layout": "IPY_MODEL_8a58f80536cc4e77a956e8a17b19d6c5"
+      }
+     },
+     "f457a2d1138b4b999d8991453225ce2d": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "f48d744a516d4abb9151bf88586ab9d5": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     }
+    },
+    "version_major": 2,
+    "version_minor": 0
+   }
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_V.ipynb b/book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_V.ipynb
new file mode 100644
index 0000000..83a6368
--- /dev/null
+++ b/book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_V.ipynb
@@ -0,0 +1,1295 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "cb00690e",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "#  Influence line shear force\n",
+    "\n",
+    "Click {fa}`rocket` --> {guilabel}`Live Code` on the top right corner of this screen to investigate some influence lines!"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "87220397",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "![figuur 1](../data_influence_line_cantilever/Structure_simple_cantilever.gif)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "c2a2b984",
+   "metadata": {
+    "tags": [
+     "thebe-remove-input-init",
+     "auto-execute-page"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "import micropip\n",
+    "await micropip.install(\"ipympl\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "2a09cc31",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import sympy as sym\n",
+    "import matplotlib.pylab as plt\n",
+    "from ipywidgets import widgets, interact\n",
+    "from matplotlib.patches import Arc,StepPatch\n",
+    "\n",
+    "%matplotlib widget"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "9833b193",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "EI, x = sym.symbols('EI, x',real=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "bde8c2e5",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "Av, Am = sym.symbols('Av, Bv',real=True)\n",
+    "a, L= sym.symbols('a, L ',positive=True,real=True)\n",
+    "C1, C2, C3, C4 = sym.symbols('C1, C2, C3, C4')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "a71d33c8",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "q = -Am * sym.SingularityFunction(x,0,-2) - Av * sym.SingularityFunction(x,0,-1) + 1 * sym.SingularityFunction(x,a,-1)\n",
+    "V = -sym.integrate(q,x)+C1\n",
+    "M = sym.integrate(V,x)+C2\n",
+    "kappa = M / EI\n",
+    "phi = sym.integrate(kappa,x)+C3\n",
+    "w = - sym.integrate(phi,x)+C4\n",
+    "eq1 = sym.Eq(w.subs(x,0),0)\n",
+    "eq2 = sym.Eq(phi.subs(x,0),0)\n",
+    "eq3 = sym.Eq(M.subs(x,-1),0)\n",
+    "eq4 = sym.Eq(M.subs(x,L),0)\n",
+    "eq5 = sym.Eq(V.subs(x,-1),0)\n",
+    "eq6 = sym.Eq(V.subs(x,L+1),0)\n",
+    "sol = sym.solve([eq1,eq2,eq3,eq4,eq5,eq6],[C1,C2,C3,C4,Av,Am])\n",
+    "V_sol = V.subs(sol)\n",
+    "V_subs = V_sol.subs([(L,6),(a,2),(EI,5000)])\n",
+    "V_numpy = sym.lambdify([L,a,EI,x],V_sol.rewrite(sym.Piecewise))\n",
+    "M_sol = M.subs(sol)\n",
+    "M_subs = M_sol.subs([(L,6),(a,2),(EI,5000)])\n",
+    "M_numpy = sym.lambdify([L,a,EI,x],M_sol.rewrite(sym.Piecewise))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "b92767eb",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "# Find V-line #"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "c611e0f4",
+   "metadata": {
+    "hideCode": true,
+    "hideOutput": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "def vervormingV(locationx,locationy,scale,flip=0,rotation=0):\n",
+    "    axs = plt.gca()\n",
+    "    vx = [-0.5,0,0,0.5]\n",
+    "    if flip==0:\n",
+    "        vy = [0.25,0.25,-0.25,-0.25]\n",
+    "    elif flip==1:\n",
+    "        vy = [-0.25,-0.25,0.25,0.25]\n",
+    "    vxr= np.add(np.multiply(np.cos(rotation/180*np.pi),vx),np.multiply(np.sin(rotation/180*np.pi),vy))\n",
+    "    vyr= np.add(np.multiply(np.sin(rotation/180*np.pi),vx),-np.multiply(np.cos(rotation/180*np.pi),vy))\n",
+    "    vxscaled = np.add(locationx,np.multiply(scale,vxr))\n",
+    "    vyscaled = np.add(locationy,np.multiply(scale,vyr))\n",
+    "    axs.plot(vxscaled,vyscaled,color='black',linewidth=1)\n",
+    "    axs.axis('equal')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "7abf7d31",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\begin{cases} 0 & \\text{for}\\: x > 2 \\\\-\\infty & \\text{for}\\: x = 0 \\\\1 & \\text{for}\\: x > 0 \\\\0 & \\text{otherwise} \\end{cases}$"
+      ],
+      "text/plain": [
+       "Piecewise((0, x > 2), (-oo, Eq(x, 0)), (1, x > 0), (0, True))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "5489ac6d32e14a11b672b3d898b54d06",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "image/png": 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",
+      "text/html": [
+       "\n",
+       "            <div style=\"display: inline-block;\">\n",
+       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+       "                    Figure\n",
+       "                </div>\n",
+       "                <img 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' width=640.0/>\n",
+       "            </div>\n",
+       "        "
+      ],
+      "text/plain": [
+       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "display(sym.simplify(V_subs.rewrite(sym.Piecewise)))\n",
+    "\n",
+    "plt.figure()\n",
+    "x_plot = np.linspace(0,5.00001,1000)\n",
+    "x_plot = np.linspace(-0.0001,6,1000)\n",
+    "plt.plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "plt.plot(x_plot,V_numpy(L=6,a=2,EI=1500,x=x_plot),color=\"blue\")\n",
+    "plt.xlabel('$x$')\n",
+    "plt.ylabel('Shear force')\n",
+    "axs = plt.gca()\n",
+    "axs.grid()\n",
+    "axs.invert_yaxis()\n",
+    "title0 = 'Shear force distribution for force at $x_F =  2 $'\n",
+    "vervormingV(1,0.3,0.3,0)\n",
+    "axs.set_title(title0);\n",
+    "axs.spines['right'].set_color('none')\n",
+    "axs.spines['top'].set_color('none')\n",
+    "axs.spines['bottom'].set_position('zero')\n",
+    "axs.spines['left'].set_position('zero')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "610e1ef5",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Find influence line V ##"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "5d7f1f13",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "b77cc5237e584f4c8295533911ffdf74",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "image/png": 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",
+      "text/html": [
+       "\n",
+       "            <div style=\"display: inline-block;\">\n",
+       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+       "                    Figure\n",
+       "                </div>\n",
+       "                <img 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' width=640.0/>\n",
+       "            </div>\n",
+       "        "
+      ],
+      "text/plain": [
+       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "q = -Am * sym.SingularityFunction(x,0,-2) - Av * sym.SingularityFunction(x,0,-1) \n",
+    "V = -sym.integrate(q,x)+C1\n",
+    "M = sym.integrate(V,x)+C2\n",
+    "kappa = M / EI\n",
+    "phi = sym.integrate(kappa,x)+C3 \n",
+    "w = -sym.integrate(phi,x)+C4 + sym.SingularityFunction(x,a,0)\n",
+    "eq1 = sym.Eq(w.subs(x,0),0)\n",
+    "eq2 = sym.Eq(phi.subs(x,0),0)\n",
+    "eq3 = sym.Eq(M.subs(x,-1),0)\n",
+    "eq4 = sym.Eq(M.subs(x,L),0)\n",
+    "eq5 = sym.Eq(V.subs(x,-1),0)\n",
+    "eq6 = sym.Eq(V.subs(x,L+1),0)\n",
+    "sol = sym.solve([eq1,eq2,eq3,eq4,eq5,eq6],[C1,C2,C3,C4,Av,Am])\n",
+    "w_sol = w.subs(sol)\n",
+    "w_subs = w_sol.subs([(L,6),(a,2),(EI,1500)])\n",
+    "#display(sym.simplify(w_subs.rewrite(sym.Piecewise)))\n",
+    "V_inf_numpy = sym.lambdify([L,a,EI,x],w_sol.rewrite(sym.Piecewise))\n",
+    "\n",
+    "plt.figure()\n",
+    "x_plot = np.linspace(0,6,1000)\n",
+    "plt.plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "plt.plot(x_plot,V_inf_numpy(L=6,a=2,EI=1500,x=x_plot),color=\"blue\")\n",
+    "plt.xlabel('$x_F$')\n",
+    "plt.ylabel('Influence factor shear force')\n",
+    "axs = plt.gca()\n",
+    "axs.grid()\n",
+    "axs.invert_yaxis()\n",
+    "title0 = 'Influence line for shear force at $x_V = 2$'\n",
+    "axs.set_title(title0);\n",
+    "axs.spines['right'].set_color('none')\n",
+    "axs.spines['top'].set_color('none')\n",
+    "axs.spines['bottom'].set_position('zero')\n",
+    "axs.spines['left'].set_position('zero')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "a233cb90",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Comparison V-line and influence line for shear force at $x = ...$ #"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "f3a1656a",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "scrolled": false,
+    "slideshow": {
+     "slide_type": "fragment"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "891a1ec84fb24f3a91139703d176e54a",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "interactive(children=(FloatSlider(value=2.0, description='Location shear force x_V = ... (m)', layout=Layout(w…"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "99324d4dff9e4d619d687564e7e611e0",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "image/png": 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",
+      "text/html": [
+       "\n",
+       "            <div style=\"display: inline-block;\">\n",
+       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+       "                    Figure\n",
+       "                </div>\n",
+       "                <img 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' width=700.0/>\n",
+       "            </div>\n",
+       "        "
+      ],
+      "text/plain": [
+       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig, axs = plt.subplots(2, 1, figsize=(7, 6))\n",
+    "x = np.linspace(0,5.0001,200)\n",
+    "def func(a,b):\n",
+    "    axs[0].clear()  # Clear the existing plot\n",
+    "    axs[1].clear()\n",
+    "    axs[0].plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "    axs[0].grid()\n",
+    "    axs[0].axis('equal')\n",
+    "    axs[0].plot(x,V_numpy(6,b,1500,x),color='blue')\n",
+    "    axs[0].plot(a,V_numpy(6,b,1500,a),marker='o')\n",
+    "    axs[0].annotate('%.2f kN' % V_numpy(6,b,1500,a),xy = [a,V_numpy(6,b,1500,a)+0.2])\n",
+    "    axs[0].annotate(text='', xy=(b,0), xytext=(b,-0.3), arrowprops=dict(arrowstyle='simple'))\n",
+    "    axs[0].invert_yaxis()\n",
+    "    plt.sca(axs[0])\n",
+    "    vervormingV(b/2,V_numpy(6,b,1500,x)[1]/2,V_numpy(6,b,1500,x)[1]/2,0)\n",
+    "    title0 = 'Shear force distribution for force at $x_F = '+str(b)+'$, showing shear force at $x_V = '+str(a)+'$'\n",
+    "    axs[0].set_title(title0)\n",
+    "    axs[1].plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "    axs[1].grid()\n",
+    "    axs[1].axis('equal')\n",
+    "    axs[1].plot(x,V_inf_numpy(6,a,1500,x),color='blue')\n",
+    "    axs[1].plot(b,V_inf_numpy(6,a,1500,b),marker='o')\n",
+    "    axs[1].annotate('%.2f kN' % V_inf_numpy(6,a,1500,b),xy = [b,V_inf_numpy(6,a,1500,b)+0.2])\n",
+    "    axs[1].invert_yaxis()\n",
+    "    title1 = 'Influence line for shear force at $x_V = '+str(a)+'$'\n",
+    "    axs[1].set_title(title1)\n",
+    "\n",
+    "    axs[0].spines['right'].set_color('none')\n",
+    "    axs[0].spines['top'].set_color('none')\n",
+    "    axs[0].spines['bottom'].set_position('zero')\n",
+    "    axs[0].spines['left'].set_position('zero')\n",
+    "    axs[1].spines['right'].set_color('none')\n",
+    "    axs[1].spines['top'].set_color('none')\n",
+    "    axs[1].spines['bottom'].set_position('zero')\n",
+    "    axs[1].spines['left'].set_position('zero')\n",
+    "    plt.draw()  \n",
+    "    \n",
+    "interact(func, a = widgets.FloatSlider(min=0, max=6, value=2, step=0.1, description=\"Location shear force x_V = ... (m)\",readout_format='.1f',style= {'description_width': '200px'},layout = {'width': '450px'}),\n",
+    "         b = widgets.FloatSlider(min=0, max=6, value=2, step=0.1, description=\"Location force x_F = ... (m)\",readout_format='.1f',style= {'description_width': '200px'},layout = {'width': '450px'}) );"
+   ]
+  }
+ ],
+ "metadata": {
+  "celltoolbar": "Diavoorstelling",
+  "hide_code_all_hidden": true,
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.9.18"
+  },
+  "widgets": {
+   "application/vnd.jupyter.widget-state+json": {
+    "state": {
+     "030c899a770e452fa6c19a16f5f72909": {
+      "model_module": "@jupyter-widgets/base",
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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "3c74c46546f54680b9bfdc46c0ff6793": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_08a936a0195040239977989233eba3f7",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_c68a1d748f7b4965a8a676e735ade730",
+       "value": 2
+      }
+     },
+     "3cc2c2c0f1c54e2eb2baa25f5a7d8c17": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "3d6a9a32f81a4e7f97e6a02fdf27747d": {
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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "5999d83c1f3b450f884587961917827a": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "400px"
+      }
+     },
+     "613b69c3f7a940999f4d517d8875e270": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "200px"
+      }
+     },
+     "6357aa1ae06348ec8646dfa1affee8ae": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "180px"
+      }
+     },
+     "67821cda3cdf4758a7a290525f4fe334": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "6a3206e7c662439e9952a34c8e1b1c11": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "450px"
+      }
+     },
+     "6b86b81b263b47d6bff88eae7ac27298": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "400px"
+      }
+     },
+     "6c83f03cf9b542e7867f74bf02fd309f": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_b6bfcc1721ed4ff690a3d14eb9aa24c9",
+        "IPY_MODEL_b2bcba57ab5a4d8f8a16c2dd6011e987",
+        "IPY_MODEL_c7ef95d387614764b178ae0f80debc89"
+       ],
+       "layout": "IPY_MODEL_9e60aac8a0184880817218d4acbaa2c7"
+      }
+     },
+     "6e565f5b398f4650abb8949fc453bd88": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "720825e419354d708cd90f75607e8da5": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location displacement $x_w$ = ... (m)",
+       "layout": "IPY_MODEL_3cc2c2c0f1c54e2eb2baa25f5a7d8c17",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_09b41ffb62c74929ac670ed540e930a7",
+       "value": 2
+      }
+     },
+     "760d3d9f63d8405b89c5fecfed33ee53": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
+     "801df073b4044471be6694da65e4a542": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_9ee1c3b31a14458685d906e8d03bd369",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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catizZ48RExNjFC1a1AgMDDT69OljnD171qbv1q1bjbZt2xoBAQFGkSJFjGbNmhmrV6+2O+6XX35p1KtXz/Dx8TEqVKhgTJkyxe7da1kqVapk1KxZM896b2WOm+9a+/33343BgwcbwcHBhr+/v9GiRQtj69atRqtWrYxWrVplm2flypVG3bp1beZ5/vnnjXvuucfaJ7e1dHS+nMYYMGCAERAQkG3cVq1aGbVr187zc8rp7kXDcGxN89pP7Vm7dq3RoEEDo0iRIkaVKlWMmTNn5nr34s1j37xmOd2BOmbMGCMsLMzw8PAwJBkbN27MsSZ7Yziy/fndX/K779/qXI5s+5kzZ4yqVasajRo1ynaH81NPPWX4+voaR48eNb755hujWLFiOd6x6QytWrXK9a7Hv8rah8eNG2fTnpSUZDz//PNGSEiI4ePjY9SrV89YunSpaduAW2cxDMMwK+AB+J/vvvtO9evX16xZs/TMM8+4upw8paWlqUGDBipbtqzWr1/v6nKA2/bBBx/os88+08aNG11dCgoJTi8CJvv11191/PhxvfLKKwoNDdXAgQNdXZJdgwcPVocOHRQaGqrExETNmTNHBw8e1IwZM1xdGlAgDhw4kK8vlgVuF6ELMNkbb7yhRYsWqWbNmvr888/d4u8U2pOUlKRRo0bp/Pnz8vb2VqNGjbR27Vq1b9/e1aUBBaKg/8IAkBdOLwIAAJiAr4wAAAAwAaELAADABIQuAAAAExC6AAAATEDoAgAAMAGhCwAAwAR8TxeA2/LVV19p2bJlkiQPDw+NHDlS9evXd3FVAOB+CF0Absu8efP05b/i5FumspJPHVS1atUIXQBgB6cXAdw2n7AaKv3oZHkHFHN1KQDgtghdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAG4JcnJyTp8+LCuXr1q037x4kUdOXJEmZmZLqoMANwToQvALRk8+EmFh4crLi5OFm+fPxu9fDVjxgzde++9+sc//uHaAgHAzRC6ANySqKgOkqR72v1NJaOelSSV6jVRgY26SJLat2/vstoAwB0RugDckscee0wVK1dR6snv5elfXJLkGVhKacf2qXuPHqpfv76LKwQA90LoAnBLvLy8NH7c67r2S7xSz/4mSbr240YlXzqj2HHjXFwdALgfi2EYhquLAHBnSk9PV7Xw6rrgXUZB3Ubr7EdD1emBJlq1cqWrSwMAt8ORLgC3zMvLS7Gvj9W1X+L1+8Z5Srl0RuNjY11dFgC4JY50AbgtWUe7jh/9Td179NDKFStcXRIAuCWOdAG4LV5eXpo4Ybx8fHy4lgsAcsGRLgAF4o8//lCJEiVcXQYAuC0vVxdwJ4qIiFBiYqKrywAAAA4KCQnR7t27XVoDoesWJCYm6vTp064uAwAA3EEIXbcgJCTE1SUAAIB8cIf/dnNN1y3YsWOHDh48qEGDBrm6FAAAkItjx47p888/16hRo2SxWFxaC6Ern9LT03Vv9Ro6ceyoDh48qPDwcFeXBAAAcvBgt25a/eWXWrVqlbp16+bSWvjKiHz65JNPdOy3X+XhG6A33pjo6nIAAEAO9u3bp9VffinPIoEa+/o4ufo4E0e68iHrKNd5r2D5VKinyxv+ydEuAADc1IPduinumz0q1n6ozi17zeVHuzjSlQ9ZR7mKNX9UgfU7yqtoSY52AQDghrKOcgU066UilRrIv2I9lx/tInQ5KD09XePGT1BAeKR8ylSVxctHAU0e0iefLNEvv/zi6vIAAMBfjIuNlV9QWQXUai1JCmz+qL7/7oC+/PJLl9VE6HLQX49yZeFoFwAA7uevR7ksHp6SJL8K9Vx+tIvQ5aAJE9+UxdtXf3yzVKnnjiozLVkX//WeMmTRJ58s0fHjx11dIgAAkPTmpEmSpOsHt+rGr7skSb9v+Ehp1y7r++8OaN26dS6piy9HdVC3mK46cuSIvvrqKyWXrys/i0XXftqkli1bqly5cipSpIirSwQAAJJa3H+/UpKTtXXbNl079I2KVL1PV3avUt06dVTl/m4KCwtzSV3cvZhP/gEB8mv2mPwq1VfCvGHasWOHmjZt6uqyAADATZpGNteP1wJUqvNwHX8rRnM//FBPPfWUy+rh9CIAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAnGbBggUqUaKEq8twC4QuAADuQrNnz1blypXl5+enxo0ba+vWrQ6/95tvvpGXl5caNGiQ7bXly5erVq1a8vX1Va1atbRy5crbqvPYsWOyWCwKDg5WUlKSzWsNGjRQbGzsbY3vTghdAADcZZYtW6bhw4fr1Vdf1b59+9SyZUtFR0frxIkTeb738uXL6t+/v9q1a5fttfj4ePXu3Vv9+vXTgQMH1K9fP/Xq1Us7d+687ZqTkpL09ttv3/Y47ozQBQDAXebdd9/V4MGD9eSTT6pmzZqaPn26ypcvrw8++CDP9z799NPq27evIiMjs702ffp0dejQQWPGjFGNGjU0ZswYtWvXTtOnT3e4tosXL6pJkyZ68MEHlZycbG1/7rnn9O677+rcuXMOj3WnIXQBAHAXSU1N1Z49exQVFWXTHhUVpe3bt+f63vnz5+vXX3/VuHHj7L4eHx+fbdyOHTvmOW6WU6dOqWXLlqpRo4ZWrFghPz8/62t9+vRRtWrVNGHCBIfGuhMRugAAuItcuHBBGRkZKlOmjE17mTJllJiYmOP7Dh8+rNGjR2vJkiXy8vKy2ycxMTHf42b55ZdfdP/996t9+/b6+OOPs81hsVg0ZcoUzZ07V7/++mue492JCF0AANyFLBaLzXPDMLK1ZcnIyFDfvn01fvx4hYeHF9i4WW7cuKEWLVqoe/fueu+993Ls37FjR7Vo0UJjx47Ndbw7FaELAIC7SKlSpeTp6Znt6NO5c+eyHaXKkpSUpN27d2vYsGHy8vKSl5eXJkyYoAMHDsjLy0sbNmyQJIWEhORr3Cy+vr5q37691qxZo1OnTuXad8qUKVq2bJn27duX16Y6JPNGklLP/ioZRoGMdzsIXQAA3EV8fHzUuHFjxcXF2bTHxcWpefPmdt9TrFgxff/999q/f7/1MWTIEFWvXl379+9X06ZNJUmRkZHZxl2/fn2O42bx8PDQokWL1LhxY7Vt21ZnzpzJsW+TJk3Us2dPjR492pHNzVWxwEDdOLJTCQtekCQFBgbe9pi3w/5JWwAAcMcaOXKk+vXrp4iICEVGRmru3Lk6ceKEhgwZYu0zZswYnT59WgsXLpSHh4fq1KljM0ZwcLD8/Pxs2l944QU98MADmjp1qrp166YvvvhC//73v7Vt27Y8a/L09NSSJUvUp08ftW3bVps2bVJISIjdvm+++aZq166d47Vljvr8s2X67bffJEleXl7ZttFshC4AAO4yvXv31sWLFzVhwgQlJCSoTp06Wrt2rSpWrGjtk5CQ4ND3dv1V8+bN9emnn+q1117T2LFjVbVqVS1btsx6JCwvXl5eWrp0qXr37m0NXvaEh4friSee0Ny5c/NV381KlCihRo0a3dYYBcliGG5wkvMO4h8QIL9mj8mvUn0lzBumHTt2OLyzAQCAwotrugAAAExA6AIAADABoQsAAMAEhC4AAAATELoAAABMQOgCAAAwAaELAADABIQuAAAAExC6AAAATEDoAgAAMAGhCwAAwASELgAAABMQugAAAExA6AIAADABoQsAAMAEhC4AAAATELpuQXrSeaVdOOHqMgAAwB3Ey9UF3GmKBgbq/K5VSvrv88DAQJfWAwAA7gwWwzAMVxdxJ0lISFBiYqIkqWjRorr33ntdXBEAALgTELoAAABMwDVdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXXA7CxYskMVi0e7du2/p/ceOHVOXLl1UsmRJWSwWDR8+XMeOHZPFYtGCBQsKtlg3FhsbK4vFYtPWunVrtW7d2iX12FsX3J7t27crNjZWf/zxh6tLuSW51e/KfdVRkyZN0qpVqxzub7FYbB4BAQGqWbOmxo8fr2vXrjmvULgNL1cXABS0ESNGaOfOnZo3b55CQkIUGhoqwzBcXZZbmD17tsvmtrcuuD3bt2/X+PHjNXDgQJUoUcLV5eRbbvW7cl911KRJk/Twww+re/fuDr/n4Ycf1osvvihJunr1qjZv3qwJEybou+++0/Lly51UKdwFoQt3nR9++EFNmjSx+Yfw2LFjLqvHndSqVctlc9tbl9uRkZGh9PR0+fr6Fsh4d5IbN27Iz8+vQMa6fv26/P39C2SsguTKfdWZypQpo2bNmlmft2/fXsePH9eSJUuUnJxcYOsK98TpRdwRBg4cqKJFi+rIkSPq3LmzihYtqvLly+vFF19USkqKJGnTpk2yWCw6cuSI/vWvf1kP4ecUuAYOHKhKlSpla7d3Ws4wDM2ePVsNGjRQkSJFdM899+jhhx/Wb7/9ZtOvdevWqlOnjnbt2qWWLVvK399fVapU0ZQpU5SZmWnT948//tCLL76oKlWqyNfXV8HBwercubN+/vlna5/U1FRNnDhRNWrUkK+vr0qXLq1Bgwbp/Pnzt/ApZj9lk3Xa9e2339a7776rypUrq2jRooqMjNSOHTuyvX/37t168MEHVbJkSfn5+alhw4b67LPPcp0zr3U5ceKEHn/8cQUHB8vX11c1a9bUO++8Y/N5ZdX51ltvaeLEiapcubJ8fX21cePGHOf9/PPP1bRpUxUvXty6Dk888YT19azT2DfvH1n1btq0yeZzq1OnjrZu3apmzZqpSJEiKlu2rMaOHauMjAy7db755puqUKGC/Pz8FBERof/85z/Zaty2bZvatWunwMBA+fv7q3nz5lqzZo1Nn6w6169fryeeeEKlS5eWv7+/xowZo5deekmSVLlyZevn+te6b5b1c/T9998rKipKgYGBateunSTH97Vly5YpKipKoaGhKlKkiGrWrKnRo0fbPT22c+dOxcTEKCgoSH5+fqpatar1tHJsbGyu9ds7vXjp0iU988wzKlu2rHx8fFSlShW9+uqr1n8DslgsFg0bNkyLFi1SzZo15e/vr/r16+urr77K8bPJkpycrBdffFENGjRQ8eLFVbJkSUVGRuqLL77INse1a9f08ccfW2u/1dOhxYsXl8Vikaen5y29H3cOjnThjpGWlqYHH3xQgwcP1osvvqgtW7bojTfeUPHixfX666+rUaNGio+PV48ePVS1alW9/fbbkqTQ0FAlJCTc1txPP/20FixYoOeff15Tp07VpUuXNGHCBDVv3lwHDhxQmTJlrH0TExP12GOP6cUXX9S4ceO0cuVKjRkzRmFhYerfv78kKSkpSS1atNCxY8f097//XU2bNtXVq1e1ZcsWJSQkqEaNGsrMzFS3bt20detWvfzyy2revLmOHz+ucePGqXXr1tq9e7eKFClyW9uVZdasWapRo4amT58uSRo7dqw6d+6so0ePqnjx4pKkjRs3qlOnTmratKnmzJmj4sWL69NPP1Xv3r11/fp1DRw40O7Yua3L+fPn1bx5c6WmpuqNN95QpUqV9NVXX2nUqFH69ddfs51ieu+99xQeHq63335bxYoV07333mt3zvj4ePXu3Vu9e/dWbGys/Pz8dPz4cW3YsOGWP6PExEQ9+uijGj16tCZMmKA1a9Zo4sSJ+v333zVz5kybvjNnzlTFihU1ffp0ZWZm6q233lJ0dLQ2b96syMhISdLmzZvVoUMH1atXTx999JF8fX01e/ZsxcTEaOnSperdu7fNmE888YS6dOmiRYsW6dq1a4qIiND169f1/vvva8WKFdbTtXkdIUpNTdWDDz6op59+WqNHj1Z6enq+9rXDhw+rc+fOGj58uAICAvTzzz9r6tSp+vbbb20+36+//loxMTGqWbOm3n33XVWoUEHHjh3T+vXrJUlPPvmkLl265HD9ycnJatOmjX799VeNHz9e9erV09atWzV58mTt378/W1hds2aNdu3apQkTJqho0aJ666231KNHDx06dEhVqlTJ8fNJSUnRpUuXNGrUKJUtW1apqan697//rZ49e2r+/PnWn+H4+Hi1bdtWbdq00dixYyVJxYoVy/Wzl/78BS49PV3S/04vfvzxx3r00Ufl7e2d5/txhzMANzN//nxDkrFr1y5r24ABAwxJxmeffWbTt3Pnzkb16tVt2ipWrGh06dLFpu3o0aOGJGP+/Pk2Y1asWDHb/OPGjTP++qMRHx9vSDLeeecdm34nT540ihQpYrz88svWtlatWhmSjJ07d9r0rVWrltGxY0fr8wkTJhiSjLi4uBw+BcNYunSpIclYvny5TfuuXbsMScbs2bNzfK+97ciqr1WrVtbnWZ9L3bp1jfT0dGv7t99+a0gyli5dam2rUaOG0bBhQyMtLc1mzK5duxqhoaFGRkZGrvXYW5fRo0fb/byGDh1qWCwW49ChQzZ1Vq1a1UhNTc11HsMwjLffftuQZPzxxx859snaz44ePWrTvnHjRkOSsXHjRmtb1rp+8cUXNn2feuopw8PDwzh+/LhNnWFhYcaNGzes/a5cuWKULFnSaN++vbWtWbNmRnBwsJGUlGRtS09PN+rUqWOUK1fOyMzMtKmzf//+2bZh2rRpdrchJ1k/R/PmzbNpv9V9LTMz00hLSzM2b95sSDIOHDhgfa1q1apG1apVbT6H/NR/8746Z84cu/8GTJ061ZBkrF+/3tomyShTpoxx5coVa1tiYqLh4eFhTJ48Ocd67ElPTzfS0tKMwYMHGw0bNrR5LSAgwBgwYIDDY0my+4iOjjauXr2ar7pwZ+L0Iu4YFotFMTExNm316tXT8ePHnTrvV199JYvFoscff1zp6enWR0hIiOrXr5/tdE5ISIiaNGmSa53/+te/FB4ervbt2+c6b4kSJRQTE2Mzb4MGDRQSEpLraaT86tKli82pjXr16kmSteYjR47o559/1mOPPSZJNvV07txZCQkJOnToUL7n3bBhg2rVqpXt8xo4cKAMw8h2ZOrBBx906GjAfffdJ0nq1auXPvvsM50+fTrftd0sMDBQDz74oE1b3759lZmZqS1btti09+zZ0+banMDAQMXExGjLli3KyMjQtWvXtHPnTj388MMqWrSotZ+np6f69eunU6dOZfs8H3roodvehpzGys++9ttvv6lv374KCQmRp6envL291apVK0nSwYMHJUm//PKLfv31Vw0ePLjArlHasGGDAgIC9PDDD9u0Zx1hvfn0bZs2bRQYGGh9XqZMGQUHBzv078Xnn3+u+++/X0WLFpWXl5e8vb310UcfWbfvdvTq1Uu7du3Srl27tGXLFr333nvavXu3OnXqlO00Ke4+nF7EHcPf3z/bP+C+vr5KTk526rxnz56VYRg2pxD/6uZTFUFBQdn6+Pr66saNG9bn58+fV4UKFfKc948//pCPj4/d1y9cuJBX6Q67ueasi9Ozaj579qwkadSoURo1alSB1XPx4kW719WFhYVZX/8rR+94fOCBB7Rq1Sq999576t+/v1JSUlS7dm29+uqr6tOnT77rlGR3/UNCQuzWmdV+c1tqaqquXr2qpKQkGYZhd3tud9vz4u/vn+00mKP72tWrV9WyZUv5+flp4sSJCg8Pl7+/v06ePKmePXta95es68DKlStXIDVLf34eISEh2a63DA4OlpeXV7bPy5GfQ3tWrFihXr166ZFHHtFLL72kkJAQeXl56YMPPtC8efNueztKly6tiIgI6/OWLVuqdOnS6tOnjxYsWKCnn376tueA+yJ0odDy8/Oz+5vlzeGhVKlSslgs2rp1q9075W7l7rnSpUvr1KlTufYpVaqUgoKCtG7dOruv//W3eGcrVaqUJGnMmDHq2bOn3T7Vq1fP97hBQUF2r7c7c+aMzbxZbv4Pbm66deumbt26KSUlRTt27NDkyZPVt29fVapUSZGRkdYAf/M+kFN4zAqef5WYmGjdDnvtN7f5+PhYj554eHg4bdtzY28cR/e1DRs26MyZM9q0aZP16JakbN+zVbp0aUnKcx/Pj6CgIO3cuVOGYdhsw7lz55Senp7t87pVixcvVuXKlbVs2TKbeZx5FCrryPKBAwecNgfcA6cXUWhVqlRJ586ds/mPaWpqqr7++mubfl27dpVhGDp9+rQiIiKyPerWrZvvuaOjo/XLL7/kemF3165ddfHiRWVkZNid91ZCzq2qXr267r33Xh04cMBuLREREbcUAtu1a6effvpJe/futWlfuHChLBaL2rRpc9u1+/r6qlWrVpo6daokad++fZJkPcL23Xff2fT/8ssv7Y6TlJSU7bVPPvlEHh4eeuCBB2zaV6xYYXMENikpSatXr1bLli3l6empgIAANW3aVCtWrLA58pKZmanFixerXLlyCg8Pd2jbJOV59CYvju5rWSHk5l80PvzwQ5vn4eHhqlq1qubNm5drWMlP/e3atdPVq1ezfRnpwoULra8XBIvFIh8fH5vAlZiYmO3uRcmxI2eO2L9/v6Q/j9rh7saRLhRavXv31uuvv65HH31UL730kpKTk/Xee+/ZfAWAJN1///3629/+pkGDBmn37t164IEHFBAQoISEBG3btk1169bV0KFD8zX38OHDtWzZMnXr1k2jR49WkyZNdOPGDW3evFldu3ZVmzZt9Oijj2rJkiXq3LmzXnjhBTVp0kTe3t46deqUNm7cqG7duqlHjx4F+ZHk6sMPP1R0dLQ6duyogQMHqmzZsrp06ZIOHjyovXv36vPPP8/3mCNGjNDChQvVpUsXTZgwQRUrVtSaNWs0e/ZsDR061KHgYc/rr7+uU6dOqV27dipXrpz++OMPzZgxw+b6o/vuu0/Vq1fXqFGjlJ6ernvuuUcrV67Utm3b7I4ZFBSkoUOH6sSJEwoPD9fatWv1z3/+U0OHDs12qtjT01MdOnTQyJEjlZmZqalTp+rKlSsaP368tc/kyZPVoUMHtWnTRqNGjZKPj49mz56tH374QUuXLnXoyFZW4J8xY4YGDBggb29vVa9ePd8B2NF9rXnz5rrnnns0ZMgQjRs3Tt7e3lqyZIndIzSzZs1STEyMmjVrphEjRqhChQo6ceKEvv76ay1ZsiTf9ffv31+zZs3SgAEDdOzYMdWtW1fbtm3TpEmT1Llz51yvj8yPrl27asWKFXrmmWf08MMP6+TJk3rjjTcUGhqqw4cP2/StW7euNm3apNWrVys0NFSBgYF5/jJ09uxZ69exJCcna//+/Zo4caJKlCihQYMGFcg2wI259DJ+wI6c7l4MCAjI1tfeHXqO3r1oGIaxdu1ao0GDBkaRIkWMKlWqGDNnzrQ7pmEYxrx584ymTZsaAQEBRpEiRYyqVasa/fv3N3bv3m3t06pVK6N27drZ3mvvTsnff//deOGFF4wKFSoY3t7eRnBwsNGlSxfj559/tvZJS0sz3n77baN+/fqGn5+fUbRoUaNGjRrG008/bRw+fDj7h5fHZ5PT3YvTpk3L9n5Jxrhx42zaDhw4YPTq1csIDg42vL29jZCQEKNt27bGnDlzcq3FMOyvi2EYxvHjx42+ffsaQUFBhre3t1G9enVj2rRpNndD5lanPV999ZURHR1tlC1b1vDx8TGCg4ONzp07G1u3brXp98svvxhRUVFGsWLFjNKlSxvPPfecsWbNGrt3L9auXdvYtGmTERERYfj6+hqhoaHGK6+8YnM3Z1adU6dONcaPH2+UK1fO8PHxMRo2bGh8/fXX2ercunWr0bZtW+s+1axZM2P16tU2fez9PPzVmDFjjLCwMMPDwyNb3TfL6efIMBzf17Zv325ERkYa/v7+RunSpY0nn3zS2Lt3r92fr/j4eCM6OtooXry44evra1StWtUYMWKEQ/XfvK8ahmFcvHjRGDJkiBEaGmp4eXkZFStWNMaMGWMkJyfb9JNkPPvss9m2sWLFig7dbThlyhSjUqVKhq+vr1GzZk3jn//8p92fp/379xv333+/4e/vb0jKVu/NdNNdi97e3kaVKlWMQYMGGUeOHMmzLtz5LIbB30cBgNy0bt1aFy5c0A8//JBrv2PHjqly5cqaNm1ajjccACi8uKYLAADABIQuAAAAE3B6EQAAwAQc6QIAADABoQsAAMAEhC4AAAAT3HVfjpqZmakzZ84oMDCwwP5sBgAAQE4Mw1BSUpLCwsLk4ZHz8ay7LnSdOXNG5cuXd3UZAACgkDl58mSuf+j9rgtdWX8+4uTJkypWrJhT5khLS9P69esVFRUlb29vp8wBx7AW7oF1cB+shftgLdyDGetw5coVlS9fPs8/weXU0PX777/r+eeft/6R2AcffFDvv/++SpQokeN7Bg4cqI8//timrWnTpta/VZWXrFOKxYoVc2ro8vf3V7FixfhBcjHWwj2wDu6DtXAfrIV7MHMd8rqsyamhq2/fvjp16pTWrVsnSfrb3/6mfv36afXq1bm+r1OnTpo/f771uY+PjzPLBAAAcDqnha6DBw9q3bp12rFjh5o2bSpJ+uc//6nIyEgdOnQo17/E7uvrq5CQEGeVBgAAYDqnfWVEfHy8ihcvbg1cktSsWTMVL15c27dvz/W9mzZtUnBwsMLDw/XUU0/p3LlzzioTAADAFE470pWYmKjg4OBs7cHBwUpMTMzxfdHR0XrkkUdUsWJFHT16VGPHjlXbtm21Z88e+fr6ZuufkpKilJQU6/MrV65I+vMcblpaWgFsSXZZ4zprfDiOtXAPrIP7YC3cB2vhHsxYB0fHznfoio2N1fjx43Pts2vXLkn2LygzDCPXC8169+5t/f916tRRRESEKlasqDVr1qhnz57Z+k+ePNluPevXr5e/v3+udd6uuLg4p44Px7EW7oF1cB+shftgLdyDM9fh+vXrDvXLd+gaNmyYHn300Vz7VKpUSd99953Onj2b7bXz58+rTJkyDs8XGhqqihUr6vDhw3ZfHzNmjEaOHGl9nnXbZlRUlFPvXoyLi1OHDh24I8XFWAv3wDq4D9bCfbAW7sGMdcg6y5aXfIeuUqVKqVSpUnn2i4yM1OXLl/Xtt9+qSZMmkqSdO3fq8uXLat68ucPzXbx4USdPnlRoaKjd1319fe2edvT29nb6Tm7GHHAMa+EeWAf3wVq4D9bCPThzHRwd12kX0tesWVOdOnXSU089pR07dmjHjh166qmn1LVrV5s7F2vUqKGVK1dKkq5evapRo0YpPj5ex44d06ZNmxQTE6NSpUqpR48ezioVAADA6Zz6B6+XLFmiunXrKioqSlFRUapXr54WLVpk0+fQoUO6fPmyJMnT01Pff/+9unXrpvDwcA0YMEDh4eGKj4/P81teAQAA3JlTvxy1ZMmSWrx4ca59DMOw/v8iRYro66+/dmZJAAAALuHUI10AAAD4E6ELAADABIQuAAAAExC6AAAATEDoAgAAMAGhCwAAwASELgAAABMQugAAAExA6AIAADABoQsAAMAEhC4AAAATELoAAABMQOgCAAAwAaELAADABIQuAAAAExC6AAAATEDoAgAAMAGhCwAAwASELgAAABMQugAAAExA6AIAADABoQsAAMAEhC4AAAATELoAAABMQOgCAAAwAaELAADABIQuAAAAExC6AAAATEDoAgAAMAGhCwAAwASELgAAABMQugAAAExA6AIAADABoQsAAMAEhC4AAAATELoAAABMQOgCAAAwAaELAADABIQuAAAAE5gSumbPnq3KlSvLz89PjRs31tatW3Ptv3nzZjVu3Fh+fn6qUqWK5syZY0aZAAAATuP00LVs2TINHz5cr776qvbt26eWLVsqOjpaJ06csNv/6NGj6ty5s1q2bKl9+/bplVde0fPPP6/ly5c7u1QAAACncXroevfddzV48GA9+eSTqlmzpqZPn67y5cvrgw8+sNt/zpw5qlChgqZPn66aNWvqySef1BNPPKG3337b2aU67PBhKTnZ09VlAACAO4iXMwdPTU3Vnj17NHr0aJv2qKgobd++3e574uPjFRUVZdPWsWNHffTRR0pLS5O3t7fNaykpKUpJSbE+v3LliiQpLS1NaWlpBbEZ2TRqdEopKdHy8joib+/v5ePznby9v5O394/y8LjhlDlhn2EYSklJka+vrywWi6vLKbRYB/fBWrgP1sI9ZK1DhQoVtHPnTqfM4WjecGrounDhgjIyMlSmTBmb9jJlyigxMdHuexITE+32T09P14ULFxQaGmrz2uTJkzV+/Phs46xfv17+/v63uQXZpaVZlJbWWJKn0tOrKz29um7cePi/r2ZI+lnSHkm7//u/+yVdL/A6AABA/qxdu9Yp416/7th/550aurLcnPANw8g19dvrb69dksaMGaORI0dan1+5ckXly5dXVFSUihUrdjtl56h+/aY6dixFFkuE0tLqKS2trlJT6ykzM0RS7f8++v+3dwZHxJyI3yTdA+vgPlgL98FauIe/Hunq3LmzU+bIOsuWF6eGrlKlSsnT0zPbUa1z585lO5qVJSQkxG5/Ly8vBQUFZevv6+srX1/fbO3e3t7ZTkUWlJ07d2rt2rXq3LmzzRwJCdKePbaPM2eyHxHz8JBq1JAaN5YiIv783wYNpIAAp5R7V0tLS7O7FjAX6+A+WAv3wVq4BzPWwdFxnRq6fHx81LhxY8XFxalHjx7W9ri4OHXr1s3ueyIjI7V69WqbtvXr1ysiIsLtd9rQUKlr1z8fWewHMemnn/58LFr0Zz+CGAAAdzenn14cOXKk+vXrp4iICEVGRmru3Lk6ceKEhgwZIunP04OnT5/WwoULJUlDhgzRzJkzNXLkSD311FOKj4/XRx99pKVLlzq7VKcgiAEAAMmE0NW7d29dvHhREyZMUEJCgurUqaO1a9eqYsWKkqSEhASb7+yqXLmy1q5dqxEjRmjWrFkKCwvTe++9p4ceesjZpZqGIAYAQOFjyoX0zzzzjJ555hm7ry1YsCBbW6tWrbR3714nV+VeCGIAANzdTAlduDUEMQAA7h6ErjsMQQwAgDsToesuQBADAMD9EbruUgQxAADcC6GrECGIAQDgOoSuQo4gBgCAOQhdyIYgBgBAwSN0wSEEMQAAbg+hC7eMIAYAgOMIXShQBDEAAOwjdMHpCGIAABC64CIFFcQaNvRQSkpJtWollSjhkk0BAMAhhC64jVsLYp6SWurVVw2OiAEA3BqhC24tryC2a1em4uNTdOlSEU5NAgDcGqELd5y/BrG0tAytXbteDRt21nffeXONGADAbRG6cFcIDZUqVOBifQCA+yJ04a7FXZMAAHdC6EKhQhADALgKoQuFHkEMAGAGQhdgB0EMAFDQCF2AgwhiAIDbQegCbgNBDADgKEIXUMAIYgAAewhdgAkIYgAAQhfgIgUVxLLCGEEMANwboQtwIwQxALh7EboAN0cQA4C7A6ELuAO5UxDLyDS08+gl7blgUdDRS4qsFixPD8ttbyMA3G0IXcBdwhVBbN0PCRq/+iclXE6W5KmFh3crtLifxsXUUqc6oc7aVAC4IxG6gLuYM4PYuh8SNHTxXhk3zZl4OVlDF+/VB483IngBwF8QuoBCpiCCWKPGhvaV+ylb4JIkQ5JF0vjVP6lDrRBONQLAfxG6AOQ7iP2adEkhfZNzHM+QlHA5Wd8evaTIqkHO3wAAuAMQugDYlVsQ+3xnsjan5T3G+LeSFV2LuyYBQCJ0AciHrCAWVNNPm/+Zd/9N//LT13P//P98fQWAwo7QBSDfmlQuqdDifkq8nGz3ui5JKuHjpwFPlNS+vXyPGABIhC4At8DTw6JxMbU0dPFeWSSb4JV12fyUXrXUqc7/LqLnC10BFHaELgC3pFOdUH3weKO/fE/Xn0Jy+J4ud/pCVwBwBUIXgFvWqU6oOtQKUfyRc1q/daeiWjbN1zfSE8QAFCYeZkwye/ZsVa5cWX5+fmrcuLG2bt2aY99NmzbJYrFke/z8889mlAognzw9LGpauaQalzLUtHLJ2/5erqwgNm6c9OWX0unTf4au1aul2FgpJkYKC5MyM/8XwoYPl1q0kIoVk2rXlvr3l2bMkL75Rrp2rUA2EwBum9OPdC1btkzDhw/X7Nmzdf/99+vDDz9UdHS0fvrpJ1WoUCHH9x06dEjFihWzPi9durSzSwXgpjgiBuBu4PTQ9e6772rw4MF68sknJUnTp0/X119/rQ8++ECTJ0/O8X3BwcEqUaKEs8sDcIciiAG40zg1dKWmpmrPnj0aPXq0TXtUVJS2b9+e63sbNmyo5ORk1apVS6+99pratGljt19KSopSUlKsz69cuSJJSktLU1qaA9/eeAuyxnXW+HAca+Ee3GUdSpWSOnb887Fw4UJt2fKijh8/r717LdbHvn0WnTljsRPEDFWvLjVqZKhRI0ONGxuqX9+444KYu6wFWAt3YcY6ODq2U0PXhQsXlJGRoTJlyti0lylTRomJiXbfExoaqrlz56px48ZKSUnRokWL1K5dO23atEkPPPBAtv6TJ0/W+PHjs7WvX79e/v7+BbMhOYiLi3Pq+HAca+Ee4uLitHbtWq1atUq///67ypcvr8GDB6t27doOvf/gwYN69dVXVaFCBU2fPt3mte3bt+uTTz5RYmKiQkJC9Pjjj6tZs2Y5jnXgwAGlpaVp3761slj+d1RLki5d8tWePTc0a1ZPeXkFKTDwJ/3+e7AOHpQOHrRoyZIGkrrLw2OcypZNUtWql1W16h+qVu0PVa58WX5+Gbf2AZmInwn3wVq4B2euw/Xr1x3qZzEMI6fvNrxtZ86cUdmyZbV9+3ZFRkZa2998800tWrTI4YvjY2JiZLFY9OWXX2Z7zd6RrvLly+vChQs214QVpLS0NMXFxalDhw7y9vZ2yhxwDGvhHrLW4fLly3ryySf1/vvvKzIyUv/3f/+nefPm6cCBA7lewylJly9fVtOmTVW1alWdPXtWu3fvtr62Y8cOtWnTRrGxserWrZu++OILjR8/Xps2bVKTJk3sjrdw4UK9+OKLOn/+vN3Xjx07pvDwcPn5+enFF1/U3/42zno0bMaMxsrM7KarV7P/QufuR8T4mXAfrIV7MGMdrly5olKlSuny5cu5Zg+nHukqVaqUPD09sx3VOnfuXLajX7lp1qyZFi9ebPc1X19f+fr6Zmv39vZ2+k5uxhxwDGvhHmbOnKnBgwfr6aefliS99957iouL0//93//leg2nJA0bNkx9+/aVp6enVq1aZbOeM2fOVIcOHfTaa69JkurWratt27Zp5syZWrp0qd3xPD09Jck6zsWLFxUdHa2QkBB99tln1vbnnntOM2bM0PPPP6/u3YPVvfufd012727R00/bu0bM8pcjYn/O5Y7XiPEz4T5YC/fgzHVwdFynfmWEj4+PGjdunO2QXlxcnJo3b+7wOPv27VNoaGjeHQG4TFpamvbu3auoqCibdkeu4Zw/f75+/fVXjRs3zu7r8fHx2cbt2LFjnuNmOXXqlFq2bKkaNWpoxYoV8vPzs77Wp08fVatWTRMmTMj2Pr6+AkBBcvrdiyNHjlS/fv0UERGhyMhIzZ07VydOnNCQIUMkSWPGjNHp06e1cOFCSX/e3VipUiXVrl1bqampWrx4sZYvX67ly5c7u1QAtyEpKSnf13BK0uHDhzV69Ght3bpVXl72/0lKTEzM97hZfvnlF3Xo0EHdunXTjBkzZLHYfo+YxWLRlClTFBMToxEjRqhq1aq5jsddkwBuldNDV+/evXXx4kVNmDBBCQkJqlOnjtauXauKFStKkhISEnTixAlr/9TUVI0aNUqnT59WkSJFVLt2ba1Zs0adO3d2dqkACsDNocYwjGxtWTIyMtS3b1+NHz9e4eHhBTZulhs3bqhFixbq06ePZsyYkWO/jh07qkWLFho7dqw++eSTXMe0hyAGwBGm/BmgZ555Rs8884zd1xYsWGDz/OWXX9bLL79sQlUAClJgYGC+r+FMSkrS7t27tW/fPg0bNkySlJmZKcMw5OXlpfXr16tt27YKCQm5pWtDfX191b59e61Zs0YvvfSSypUrl2PfKVOmKDIyUi+99JIjm5snghiAm/G3FwEUCG9vbzVq1EhxcXHq0aOHtT0uLk7dunWz+55ixYrp+++/t2mbPXu2NmzYoP/3//6fKleuLEmKjIxUXFycRowYYe23fv36PK8N9fDw0KJFi9S3b1+1bdtWmzZtUlhYmN2+TZo0Uc+ePbN9r2BBIogBhRuhC0CBeeGFFzRo0KAcr+GUbK/j9PDwUJ06dWzGCA4Olp+fn037Cy+8oAceeEBTp061fmXEv//9b23bti3Pmjw9PbVkyRL16dPHGrxCQkLs9n3zzTdVu3btHK8tc4aCDmIOfiUaABcgdAEoML169dLly5dzvIZTyn4dpyOaN2+uTz/9VK+99prGjh2rqlWratmyZWratKlD7/fy8tLSpUvVu3dva/CyJzw8XE888YTmzp2br/oK2u0FMS+VLdtGn3/uqfvu44gY4E6c+uWornDlyhUVL148zy8oux1paWlau3atOnfuzHevuBhr4R5YB9fIKYjdjFOTrsHPhXswYx0czR4c6QKAO5S9I2InTqRp7tw98vC4T/v3e3KNGOBGCF0AcBcJDZXuu++sOnfOlLf3n9/Kz8X6gHsgdAHAXY67JgH3QOgCgEKIIAaYj9AFAJBUsEGsceM/g1jRoi7ZFMAtEboAADkiiAEFh9AFAMgXghhwawhdAIDbRhAD8kboAgA4BUEMsEXoAgCYhiCGwozQBQBwKYIYCgtCFwDA7RDEcDcidAEA7ggEMdzpCF0AgDsWQQx3EkIXAOCuQhCDuyJ0AQDuegQxuANCFwCgUCKIwWyELgAA/qsgg1j9+hbduOHpmg2BWyJ0AQCQi1sPYl7y8OiiCROkiAiOiIHQBQBAvjkWxAydOWPRwYPSwYOcmgShCwCAAnFzEEtLS9fixf/RPfe014EDXlwjBkIXAADOUrJkijp3NtS9+//auFi/8CJ0AQBgIu6aLLwIXQAAuBhBrHAgdAEA4IYIYncfQhcAAHcIgtidjdAFAMAdjCB25yB0AQBwlyGIuSdCFwAAhQBBzPUIXQAAFFIEMXMRugAAgBVBzHkIXQAAIFcEsYJB6AIAAPlGEMs/QhcAACgQBLHceThz8C1btigmJkZhYWGyWCxatWpVnu/ZvHmzGjduLD8/P1WpUkVz5sxxZokAAMCJsoLYuHHSl19Kp0//GbpWr5ZiY6WYGCksTMrM/F8IGz5catlSKl5cql1b6t9fmjFD2rZNunrV1Vt065x6pOvatWuqX7++Bg0apIceeijP/kePHlXnzp311FNPafHixfrmm2/0zDPPqHTp0g69HwAAuL/CekTMqaErOjpa0dHRDvefM2eOKlSooOnTp0uSatasqd27d+vtt98mdAEAcBcrDEHMra7pio+PV1RUlE1bx44d9dFHHyktLU3e3t4uqgwAAJjtdoKYxSLVrCk1bOgpP78quvdeqVYt12xHFrcKXYmJiSpTpoxNW5kyZZSenq4LFy4oNDQ023tSUlKUkpJifX7lyhVJUlpamtLS0pxSZ9a4zhofjmMt3APr4D5YC/fBWjhHqVJSx45/PrIkJEh791qsj337LDpzxvLfIOYhqa4aNkzRvfc6Nxfkxa1ClyRZLBab54Zh2G3PMnnyZI0fPz5b+/r16+Xv71/wBf5FXFycU8eH41gL98A6uA/Wwn2wFuawWP53alGSfv/dV7/+WkJHjpTQr78WV0bGQa1dm+SUua9fv+5QP7cKXSEhIUpMTLRpO3funLy8vBQUFGT3PWPGjNHIkSOtz69cuaLy5csrKipKxYoVc0qdaWlpiouLU4cOHTjl6WKshXtgHdwHa+E+WAv3YMY6ZJ1ly4tbha7IyEitXr3apm39+vWKiIjI8YPy9fWVr69vtnZvb2+n7+RmzAHHsBbugXVwH6yF+2At3IMz18HRcZ36PV1Xr17V/v37tX//fkl/fiXE/v37deLECUl/HqXq37+/tf+QIUN0/PhxjRw5UgcPHtS8efP00UcfadSoUc4sEwAAwOmceqRr9+7datOmjfV51mnAAQMGaMGCBUpISLAGMEmqXLmy1q5dqxEjRmjWrFkKCwvTe++9x9dFAACAO55TQ1fr1q2tF8Lbs2DBgmxtrVq10t69e51YFQAAgPmcenoRAAAAfyJ0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmIDQBQAAYAJCFwAAgAkIXQAAACYgdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHQBAACYgNAFAABgAkIXAACACQhdAAAAJiB0AQAAmMCpoWvLli2KiYlRWFiYLBaLVq1alWv/TZs2yWKxZHv8/PPPziwTAADA6bycOfi1a9dUv359DRo0SA899JDD7zt06JCKFStmfV66dGlnlAcAAGAap4au6OhoRUdH5/t9wcHBKlGiRMEXBAAA4CJueU1Xw4YNFRoaqnbt2mnjxo2uLgcAAOC2OfVIV36FhoZq7ty5aty4sVJSUrRo0SK1a9dOmzZt0gMPPGD3PSkpKUpJSbE+v3LliiQpLS1NaWlpTqkza1xnjQ/HsRbugXVwH6yF+2At3IMZ6+Do2BbDMAynVfHXiSwWrVy5Ut27d8/X+2JiYmSxWPTll1/afT02Nlbjx4/P1v7JJ5/I39//VkoFAABw2PXr19W3b19dvnzZ5pr0m7nVkS57mjVrpsWLF+f4+pgxYzRy5Ejr8ytXrqh8+fKKiorKdcNvR1pamuLi4tShQwd5e3s7ZQ44hrVwD6yD+2At3Adr4R7MWIess2x5cfvQtW/fPoWGhub4uq+vr3x9fbO1e3t7O30nN2MOOIa1cA+sg/tgLdwHa+EenLkOjo7r1NB19epVHTlyxPr86NGj2r9/v0qWLKkKFSpozJgxOn36tBYuXChJmj59uipVqqTatWsrNTVVixcv1vLly7V8+XJnlgkAAOB0Tg1du3fvVps2bazPs04DDhgwQAsWLFBCQoJOnDhhfT01NVWjRo3S6dOnVaRIEdWuXVtr1qxR586dnVkmAACA0zk1dLVu3Vq5Xae/YMECm+cvv/yyXn755duaM2s+R8+v3oq0tDRdv35dV65c4ZCxi7EW7oF1cB+shftgLdyDGeuQlTnyujfR7a/pyq+kpCRJUvny5V1cCQAAKEySkpJUvHjxHF837SsjzJKZmakzZ84oMDBQFovFKXNk3SF58uRJp90hCcewFu6BdXAfrIX7YC3cgxnrYBiGkpKSFBYWJg+PnL93/q470uXh4aFy5cqZMlexYsX4QXITrIV7YB3cB2vhPlgL9+DsdcjtCFcWt/wzQAAAAHcbQhcAAIAJCF23wNfXV+PGjbP7pawwF2vhHlgH98FauA/Wwj240zrcdRfSAwAAuCOOdAEAAJiA0AUAAGACQhcAAIAJCF0AAAAmIHTdgtmzZ6ty5cry8/NT48aNtXXrVleXVOhs2bJFMTExCgsLk8Vi0apVq1xdUqE0efJk3XfffQoMDFRwcLC6d++uQ4cOubqsQumDDz5QvXr1rF8AGRkZqX/961+uLqvQmzx5siwWi4YPH+7qUgqd2NhYWSwWm0dISIhLayJ05dOyZcs0fPhwvfrqq9q3b59atmyp6OhonThxwtWlFSrXrl1T/fr1NXPmTFeXUqht3rxZzz77rHbs2KG4uDilp6crKipK165dc3VphU65cuU0ZcoU7d69W7t371bbtm3VrVs3/fjjj64urdDatWuX5s6dq3r16rm6lEKrdu3aSkhIsD6+//57l9bDV0bkU9OmTdWoUSN98MEH1raaNWuqe/fumjx5sgsrK7wsFotWrlyp7t27u7qUQu/8+fMKDg7W5s2b9cADD7i6nEKvZMmSmjZtmgYPHuzqUgqdq1evqlGjRpo9e7YmTpyoBg0aaPr06a4uq1CJjY3VqlWrtH//fleXYsWRrnxITU3Vnj17FBUVZdMeFRWl7du3u6gqwH1cvnxZ0p//sYfrZGRk6NNPP9W1a9cUGRnp6nIKpWeffVZdunRR+/btXV1KoXb48GGFhYWpcuXKevTRR/Xbb7+5tJ677g9eO9OFCxeUkZGhMmXK2LSXKVNGiYmJLqoKcA+GYWjkyJFq0aKF6tSp4+pyCqXvv/9ekZGRSk5OVtGiRbVy5UrVqlXL1WUVOp9++qn27t2rXbt2ubqUQq1p06ZauHChwsPDdfbsWU2cOFHNmzfXjz/+qKCgIJfUROi6BRaLxea5YRjZ2oDCZtiwYfruu++0bds2V5dSaFWvXl379+/XH3/8oeXLl2vAgAHavHkzwctEJ0+e1AsvvKD169fLz8/P1eUUatHR0db/X7duXUVGRqpq1ar6+OOPNXLkSJfUROjKh1KlSsnT0zPbUa1z585lO/oFFCbPPfecvvzyS23ZskXlypVzdTmFlo+Pj6pVqyZJioiI0K5duzRjxgx9+OGHLq6s8NizZ4/OnTunxo0bW9syMjK0ZcsWzZw5UykpKfL09HRhhYVXQECA6tatq8OHD7usBq7pygcfHx81btxYcXFxNu1xcXFq3ry5i6oCXMcwDA0bNkwrVqzQhg0bVLlyZVeXhL8wDEMpKSmuLqNQadeunb7//nvt37/f+oiIiNBjjz2m/fv3E7hcKCUlRQcPHlRoaKjLauBIVz6NHDlS/fr1U0REhCIjIzV37lydOHFCQ4YMcXVphcrVq1d15MgR6/OjR49q//79KlmypCpUqODCygqXZ599Vp988om++OILBQYGWo8CFy9eXEWKFHFxdYXLK6+8oujoaJUvX15JSUn69NNPtWnTJq1bt87VpRUqgYGB2a5pDAgIUFBQENc6mmzUqFGKiYlRhQoVdO7cOU2cOFFXrlzRgAEDXFYToSufevfurYsXL2rChAlKSEhQnTp1tHbtWlWsWNHVpRUqu3fvVps2bazPs87PDxgwQAsWLHBRVYVP1lentG7d2qZ9/vz5GjhwoPkFFWJnz55Vv379lJCQoOLFi6tevXpat26dOnTo4OrSAJc4deqU+vTpowsXLqh06dJq1qyZduzY4dL/XvM9XQAAACbgmi4AAAATELoAAABMQOgCAAAwAaELAADABIQuAAAAExC6AAAATEDoAgAAMAGhCwAAwASELgAAABMQugAAAExA6AIAADABoQsAAMAE/x9/7Ciokkel7gAAAABJRU5ErkJggg==\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
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+        }
+       ]
+      }
+     },
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+      }
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+      "state": {
+       "description": "Location unit load $x_F = $ ... (m)",
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+      "model_name": "VBoxModel",
+      "state": {
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+        "widget-interact"
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+        "IPY_MODEL_c8e7012749b84fa39305a33c26a799b3"
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+       "layout": "IPY_MODEL_3f039c47c7834b83a3d9ae18f204d6c7"
+      }
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+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_720825e419354d708cd90f75607e8da5",
+        "IPY_MODEL_c40ca55f04234e45b85cecb3c42566c2",
+        "IPY_MODEL_58bd61bdd2a44d75b61689a5b533bd00"
+       ],
+       "layout": "IPY_MODEL_57ea6daf56ad4016a935df2b14caa4fa"
+      }
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+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "9ee1c3b31a14458685d906e8d03bd369": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "a2b3cea1700646bc9f54cc7a7053e41f": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_e28fb4589aa54b48ac27afcbf0c851b1",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "a81a014c7e9b4244b99d90f6a675e007": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "a82882d52b124039a020b3cb7253ca97": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "b03ac1eca6fc499b90b1e4fa98004ad9": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "b2bcba57ab5a4d8f8a16c2dd6011e987": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_6a3206e7c662439e9952a34c8e1b1c11",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_40e3c2b00bc54b8baf5896b0d60fb9e0",
+       "value": 2
+      }
+     },
+     "b6bfcc1721ed4ff690a3d14eb9aa24c9": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location shear force $x_V$ = ... (m)",
+       "layout": "IPY_MODEL_3e7a4aeafd38411eab5f3749620bae52",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_613b69c3f7a940999f4d517d8875e270",
+       "value": 2
+      }
+     },
+     "b747b04968174ff7aca2e216a529da7c": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_030c899a770e452fa6c19a16f5f72909",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "be613857b5f6499eacd079ae92bc474d": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_c06016ffccc842b88cfd56dddfe1f3b0",
+        "IPY_MODEL_89d163072ee64374bf7014553dbda556",
+        "IPY_MODEL_38437965d3b4455495bc7ae48c750fef"
+       ],
+       "layout": "IPY_MODEL_42585c89d47c4b559ad5d24d1c42ad13"
+      }
+     },
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+       "layout": "IPY_MODEL_6b86b81b263b47d6bff88eae7ac27298",
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+        "IPY_MODEL_801df073b4044471be6694da65e4a542"
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+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_8eef1357de9245b195bb8c469bd7ead3",
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+       "step": 0.2,
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+       "value": 2
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+      }
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+      "state": {
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+      }
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+      "model_module_version": "1.5.0",
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+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_1809c9b8edbd453ab87832b22601e0a5",
+       "outputs": [
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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "c8e7012749b84fa39305a33c26a799b3": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_6e565f5b398f4650abb8949fc453bd88",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "cea905bad6214edcae92d53ddf6236e4": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_34fcf1bcf05c45388cb264a79e2957cf",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_097335eec168447e84a2e176f5e4b09f",
+       "value": 2
+      }
+     },
+     "d1243bb73d99438fb10124692d04bd75": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "180px"
+      }
+     },
+     "decee5f068bf4f9a9953bb1440c517b7": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_a81a014c7e9b4244b99d90f6a675e007",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "e28fb4589aa54b48ac27afcbf0c851b1": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "ee74131150b643e98b2d8893baeff48a": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "400px"
+      }
+     },
+     "ef4b01a438fa480cb0bccc1f1741d08e": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "efabf2a4993847ef8f6973a4d2aad604": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_3db4c46a998f4fb1a2cc006abec9e021",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_212999408cd24d8c957b1110da7b2b47",
+       "value": 2
+      }
+     },
+     "f2711953728449f9bf46f1396288470c": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_0d267a54ebc549858e9234f40961968b",
+        "IPY_MODEL_3c74c46546f54680b9bfdc46c0ff6793",
+        "IPY_MODEL_a2b3cea1700646bc9f54cc7a7053e41f"
+       ],
+       "layout": "IPY_MODEL_8a58f80536cc4e77a956e8a17b19d6c5"
+      }
+     },
+     "f457a2d1138b4b999d8991453225ce2d": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "f48d744a516d4abb9151bf88586ab9d5": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     }
+    },
+    "version_major": 2,
+    "version_minor": 0
+   }
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_phi.ipynb b/book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_phi.ipynb
new file mode 100644
index 0000000..dc5a267
--- /dev/null
+++ b/book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_phi.ipynb
@@ -0,0 +1,1260 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "cb00690e",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "#  Influence line rotation\n",
+    "\n",
+    "Click {fa}`rocket` --> {guilabel}`Live Code` on the top right corner of this screen to investigate some influence lines!"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "87220397",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "![figuur 1](../data_influence_line_cantilever/Structure_simple_cantilever.gif)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "c2a2b984",
+   "metadata": {
+    "tags": [
+     "thebe-remove-input-init",
+     "auto-execute-page"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "import micropip\n",
+    "await micropip.install(\"ipympl\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "2a09cc31",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import sympy as sym\n",
+    "import matplotlib.pylab as plt\n",
+    "from ipywidgets import widgets, interact\n",
+    "from matplotlib.patches import Arc,StepPatch\n",
+    "\n",
+    "%matplotlib widget"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "9833b193",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "EI, x = sym.symbols('EI, x',real=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "bde8c2e5",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "Av, Am = sym.symbols('Av, Bv',real=True)\n",
+    "a, L= sym.symbols('a, L ',positive=True,real=True)\n",
+    "C1, C2, C3, C4 = sym.symbols('C1, C2, C3, C4')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "4ee3bb06",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Find rotation line $\\phi$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "867dc61a",
+   "metadata": {
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "q = -Am * sym.SingularityFunction(x,0,-2) - Av * sym.SingularityFunction(x,0,-1) + 1*sym.SingularityFunction(x,a,-1)\n",
+    "V = -sym.integrate(q,x)+C1\n",
+    "M = sym.integrate(V,x)+C2\n",
+    "kappa = M / EI\n",
+    "phi = sym.integrate(kappa,x)+C3 \n",
+    "w = - sym.integrate(phi,x)+C4 \n",
+    "eq1 = sym.Eq(w.subs(x,0),0)\n",
+    "eq2 = sym.Eq(phi.subs(x,0),0)\n",
+    "eq3 = sym.Eq(M.subs(x,-1),0)\n",
+    "eq4 = sym.Eq(M.subs(x,L+1),0)\n",
+    "eq5 = sym.Eq(V.subs(x,-1),0)\n",
+    "eq6 = sym.Eq(V.subs(x,L+1),0)\n",
+    "sol = sym.solve([eq1,eq2,eq3,eq4,eq5,eq6],[C1,C2,C3,C4,Av,Am])\n",
+    "w_sol = w.subs(sol)\n",
+    "w_subs = w_sol.subs([(L,6),(a,2),(EI,1500)])\n",
+    "w_numpy = sym.lambdify([L,a,EI,x],w_sol.rewrite(sym.Piecewise))\n",
+    "phi_sol = phi.subs(sol)\n",
+    "phi_subs = phi_sol.subs([(L,6),(a,2),(EI,1500)])\n",
+    "phi_numpy = sym.lambdify([L,a,EI,x],phi_sol.rewrite(sym.Piecewise))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "39abb15d",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\begin{cases} - \\frac{1}{750} & \\text{for}\\: x > 2 \\\\\\frac{x \\left(x - 4\\right)}{3000} & \\text{for}\\: x > 0 \\\\0 & \\text{otherwise} \\end{cases}$"
+      ],
+      "text/plain": [
+       "Piecewise((-1/750, x > 2), (x*(x - 4)/3000, x > 0), (0, True))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "ea9f2fdfd5b14ce38ba7e8df607896c5",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "image/png": 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",
+      "text/html": [
+       "\n",
+       "            <div style=\"display: inline-block;\">\n",
+       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+       "                    Figure\n",
+       "                </div>\n",
+       "                <img 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' width=640.0/>\n",
+       "            </div>\n",
+       "        "
+      ],
+      "text/plain": [
+       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "display(sym.simplify(phi_subs.rewrite(sym.Piecewise)))\n",
+    "plt.figure()\n",
+    "x_plot = np.linspace(0,6,100)\n",
+    "plt.plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "plt.plot(x_plot,phi_numpy(L=6,a=6,EI=1500,x=x_plot),color=\"blue\")\n",
+    "plt.xlabel('$x$')\n",
+    "plt.ylabel('rotation')\n",
+    "axs = plt.gca()\n",
+    "axs.grid()\n",
+    "axs.invert_yaxis()\n",
+    "title0 = 'rotation for force at $x_F =  6 $'\n",
+    "axs.set_title(title0);\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "1a9cec9c",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Find influence line $\\phi$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "6b67825d",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\begin{cases} \\frac{3 - x}{250} & \\text{for}\\: x > 6 \\\\- \\frac{x^{2}}{3000} & \\text{for}\\: x > 0 \\\\0 & \\text{otherwise} \\end{cases}$"
+      ],
+      "text/plain": [
+       "Piecewise(((3 - x)/250, x > 6), (-x**2/3000, x > 0), (0, True))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "f5e8f6e61d5d48118e1c2177b21ae734",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "image/png": 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",
+      "text/html": [
+       "\n",
+       "            <div style=\"display: inline-block;\">\n",
+       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+       "                    Figure\n",
+       "                </div>\n",
+       "                <img 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DiYTp06cezYMWebtLQ0unTpwvPPP1/gPn777TdycnL44IMP2LJlCxMnTmTq1KlnbS8iIiJSnlg2F/C2bduIjo4mPj6eNm3aADB9+nRCQ0PZvn07DRs2zLeNYRhMmjSJUaNG0bNnTwBmz55NUFAQn376KQ8//DAAw4YNA2D58uUFHrtLly506dLF+fnyyy9n+/btvP/++4wbN64Iv6WIiIhcKMOwOkH5ZVkBuGrVKvz9/Z3FH8B1112Hv78/cXFxBRaAO3fuJDExkbCwMOcyb29v2rVrR1xcnLMAvBApKSkEBAQU2iYjI4OMjAzn59TUVMCcsDorK+uCj12Q3P0V9X7LI/WV69RXrlNfuU595Tr1levi4rJ55pmbqF79FC1bFu2+1f8WFoCJiYlUq1Yt3/Jq1aqRmJh41m0AgoKC8iwPCgrin3/+ueAsf/75J5MnT2b8+PGFtouKimL06NH5lsfExODr63vBxy9MbGxssey3PFJfuU595Tr1levUV65TXxUuI8PO8OHt2bu3CiNH7uKJJzYW6f7T0tKKdH9lUZEXgJGRkQUWSWdau3YtADabLd86wzAKXH6m/653ZZuz2bdvH126dKFXr14MHDiw0LYjR45k+PDhzs+pqanUqlWLsLAwKlWqdEHHP5usrCxiY2Pp1KkTnp6eRbrv8kZ95Tr1levUV65TX7lOfeWaZ5+1s3evB1WqnGTOnECCgroV6f5zr+C5syIvAB977DH69OlTaJu6deuyadMmDhw4kG/dwYMH853hyxUcHAyYZwKrV6/uXJ6UlHTWbQqzb98+br75ZkJDQ5k2bdo523t7e+Pt7Z1vuaenZ7H9QS7OfZc36ivXqa9cp75ynfrKdeqrs1u5EiZNMt8PGZJAUFCrIu8r9X0xFICBgYEEBgaes11oaCgpKSmsWbOGa6+9FoDVq1eTkpJC27ZtC9wmJCSE4OBgYmNjadGiBQCZmZmsWLGCN99887xy7t27l5tvvplWrVoxc+ZM7HYNiSgiImKlEyfgwQfNhz/uvz+Ha67Jf6JIioZlVU/jxo3p0qULgwYNIj4+nvj4eAYNGkT37t3zPADSqFEjFixYAJiXfocNG8aYMWNYsGABmzdvpl+/fvj6+tK3b1/nNomJiSQkJLBjxw4Afv31VxISEjhy5Ahgnvlr3749tWrVYty4cRw8eJDExMSz3nsoIiIixW/kSNixA2rWhPHjs62OU65Z9hAIwCeffMLQoUOdT/WGh4czZcqUPG22b99OSkqK8/OIESNIT09nyJAhJCcn06ZNG2JiYvDz83O2mTp1ap77EG+66SYAZs6cSb9+/YiJiWHHjh3s2LGDmjVr5jmeoWfORUREStzy5TB5svl+xgzw97c0TrlnaQEYEBDA3LlzC23z34LMZrMRGRlJZGTkWbc51/p+/frRr1+/80gqIiIixeXYMfPSL8BDD0FYGGikluKlG99ERETEUk8/DX//DXXqgOZjKBkqAEVERMQyS5ZA7kAcs2bBGXd0STFSASgiIiKWOHIEBgww3w8bBu3bW5nGvagAFBEREUs8/jjs3w8NG8KYMVancS8qAEVERKTE/d//waefgt0Oc+aAj4/VidyLCkAREREpUQcOwODB5vuRI+Hf+SCkBKkAFBERkRJjGOZQL4cPw9VXw0svWZ3IPakAFBERkRIzaxZ8/TV4eZmXfr28rE7knlQAioiISIn4+2944gnz/auvwlVXWRrHrakAFBERkWKXkwP9+pmzflx/PTz1lNWJ3JsKQBERESl2b78NK1ZAxYowezZ4eFidyL2pABQREZFitXWr+bQvwIQJUK+etXlEBaCIiIgUo6wsiIiAjAzo2hUGDbI6kYAKQBERESlGr7wCGzZAQADMmAE2m9WJBFQAioiISDFZter0FG/vvw/Vq1ubR05TASgiIiJF7vhx89JvTg7cdx/07m11IjmTCkAREREpck89BX/+CbVqweTJVqeR/1IBKCIiIkVq0SKYNs18P3s2VK5saRwpgApAERERKTIHD8KAAeb74cPh5putzSMFUwEoIiIiRcIw4KGHICkJrrwSXn/d6kRyNioARUREpEh89BF89RV4esLcuVChgtWJ5GxUAIqIiMhF27EDnnjCfP/669C8uaVx5BxUAIqIiMhFOXXKHOrlxAlo3968909KNxWAIiIiclFefx1WrwZ/f/OpXw8PqxPJuagAFBERkQsWHw+vvmq+f/99qF3b2jziGhWAIiIickGOHzcv/WZnw733wj33WJ1IXKUCUERERC7IsGHmbB+1a8OUKVankfOhAlBERETO2xdfwIwZYLPBnDma7aOsUQEoIiIi52XPHhg0yHz/3HPQrp21eeT8qQAUERERl+XkwAMPQHIytG4NkZFWJ5ILoQJQREREXDZhAnz/Pfj6wiefgJeX1YnkQqgAFBEREZds3AjPP2++f/ttuOIKa/PIhVMBKCIiIueUlgZ9+0JWFtxxBwwYYHUiuRgqAEVEROSchg+H336D6tVh2jTz6V8pu1QAioiISKEWLIAPPjCLvo8/hsBAqxPJxVIBKCIiIme1Zw8MHGi+f+YZ6NDB2jxSNFQAioiISIGys+H+++HIEWjV6vScv1L2qQAUERGRAr31FvzwA1SsCJ9+qiFfyhMVgCIiIpLP2rXw4ovm+3fe0ZAv5Y0KQBEREckjNRXuuQdOnYJeveDBB61OJEVNBaCIiIjk8eij8OefULu2hnwpr1QAioiIiNPHH8PcuWC3m/f9Va5sdSIpDioARUREBIAdO2DIEPN9ZCRcf72lcaQYqQAUERERMjPN+/6OH4ebbjo956+UTyoARUREhBdegHXroEoV8xKwh4fViaQ4WVoAJicnExERgb+/P/7+/kRERHD06NFCtzEMg8jISGrUqIGPjw/t27dny5YtedpMmzaN9u3bU6lSJWw2W4H7vJBji4iIlEdLl5pj/gHMmAG1almbR4qfpQVg3759SUhIIDo6mujoaBISEoiIiCh0m7FjxzJhwgSmTJnC2rVrCQ4OplOnThw7dszZJi0tjS5duvB8IeevL+TYIiIi5c3+/ZD7z98jj8Add1ibR0qGw6oDb9u2jejoaOLj42nTpg0A06dPJzQ0lO3bt9OwYcN82xiGwaRJkxg1ahQ9e/YEYPbs2QQFBfHpp5/y8MMPAzBs2DAAli9fXmTHFhERKW9ycszi7+BBuOoqmDDB6kRSUiwrAFetWoW/v7+zAAO47rrr8Pf3Jy4ursAibOfOnSQmJhIWFuZc5u3tTbt27YiLi3MWgMVxbICMjAwyMjKcn1NTUwHIysoiKyvLpWO7Knd/Rb3f8kh95Tr1levUV65TX7mutPXVm2/aWbbMA19fg48/PoWHB5SSaMXaV6Wl/61kWQGYmJhItWrV8i2vVq0aiYmJZ90GICgoKM/yoKAg/vnnn2I9NkBUVBSjR4/OtzwmJgZfX1+Xj38+YmNji2W/5ZH6ynXqK9epr1ynvnJdaeir336rwssv3wDAgAEJ7Ny5i507LQ5VgOLoq7S0tCLfZ1lT5AVgZGRkgUXSmdauXQuArYChxQ3DKHD5mf673pVtzrUPV/YzcuRIhg8f7vycmppKrVq1CAsLo1KlSud1/HPJysoiNjaWTp064enpWaT7Lm/UV65TX7lOfeU69ZXrSktfJSfD0KEOcnJs9OmTw7hxTbHZmlqWpyDF2Ve5V/DcWZEXgI899hh9+vQptE3dunXZtGkTBw4cyLfu4MGD+c7w5QoODgbMM3jVq1d3Lk9KSjrrNmfbz/keG8zLzd7e3vmWe3p6Ftsf5OLcd3mjvnKd+sp16ivXqa9cZ2VfGQYMHgy7dkG9evDBB3a8vErvqHDF0Vf6OS2GAjAwMJDAwMBztgsNDSUlJYU1a9Zw7bXXArB69WpSUlJo27ZtgduEhIQQHBxMbGwsLVq0ACAzM5MVK1bw5ptvupzxQo4tIiJSHrz7LixYAJ6eMG8eFPEFLCkjLCv5GzduTJcuXRg0aBDx8fHEx8czaNAgunfvnuchjEaNGrFgwQLAvGw7bNgwxowZw4IFC9i8eTP9+vXD19eXvn37OrdJTEwkISGBHTt2APDrr7+SkJDAkSNHzuvYIiIi5cmGDfDUU+b7t96C1q2tzSPWsfSc7yeffEKzZs0ICwsjLCyMq666io8//jhPm+3bt5OSkuL8PGLECIYNG8aQIUNo3bo1e/fuJSYmBj8/P2ebqVOn0qJFCwYNGgTATTfdRIsWLfj666/P69giIiLlRWoq3H23OeXbbbfB0KFWJxIrWfYUMEBAQABz584ttI1hGHk+22w2IiMjiYyMPOs251rv6rFFRETKg9z7/nbsgNq14aOP4DyfnZRypvTe9SkiIiJF4qOP4LPPzPl9582DgACrE4nVVACKiIiUY5s3w+OPm+/HjIHQUGvzSOmgAlBERKScOn4cevWC9HTo0gWeftrqRFJaqAAUEREphwwDHnkEfvsNLrsM5swBu/7Vl3/pR0FERKQc+ugjmDv39H1/l15qdSIpTVQAioiIlDO//gqPPWa+f+01uOEGa/NI6aMCUEREpBzJve/v5Enzvr8RI6xOJKWRCkAREZFyIne8v+3bdd+fFE4/FiIiIuXE9OnwySfmfX+ffab7/uTsVACKiIiUAxs3np7eLSoKbrzR2jxSuqkAFBERKeNSUsz7/jIyoEcPeOopqxNJaacCUEREpAwzDOjfH/78E+rUgVmzdN+fnJt+RERERMqwd96BL78ET0/4/HPN8yuuUQEoIiJSRsXHn57ebcIEuOYaa/NI2aECUEREpAw6eNC87+/UKfPXRx+1OpGUJSoARUREypjsbLj3XtizBxo2hBkzwGazOpWUJSoARUREyphXX4XYWPD1hf/7P/DzszqRlDUqAEVERMqQ6Gh45RXz/dSp0LSptXmkbFIBKCIiUkbs2mVe+jUMePhhiIiwOpGUVSoARUREyoCMDPNhjyNHoFUrmDTJ6kRSlqkAFBERKQOefBLWrIEqVczx/ipUsDqRlGUqAEVEREq5jz+G9983n/SdOxdCQqxOJGWdCkAREZFSbNMm834/gBdfhG7drM0j5YPjzA+ZmZkkJSWRk5OTp1Ht2rVLNJSIiIjA0aPQsyekp0PnzvDSS1YnkvLCAfDHH3/Qv39/4uLi8qw0DAObzUZ2drYl4URERNxVTg488AD8+SfUqQOffAIeHlankvLCAdCvXz8cDgeLFi2ievXq2DScuIiIiKXefBO+/hq8vMzBnqtWtTqRlCcOgISEBNavX0+jRo2sziMiIuL2YmJg1Cjz/ZQp0Lq1tXmk/LEDNGnShEOHDlmdRURExO39/Tfcc4852POAATBokNWJpDyyA7z55puMGDGC5cuXc/jwYVJTU/O8REREpPilp8Odd5qDPbdubZ79EykODoCOHTsC0KFDhzwr9RCIiIhIyTAMGDIENmww7/f7v//TYM9SfBwAP/zwg9U5RERE3NoHH8CsWWC3w7x55pO/IsXFAdCuXTurc4iIiLitVatg6FDz/Zgx8O+FOZFi4xwI+ujRo8yYMYNt27Zhs9lo0qQJ/fv3x9/f38p8IiIi5dr+/eZ9f1lZ5qDPI0ZYnUjcgR1g3bp11KtXj4kTJ3LkyBEOHTrEhAkTqFevHhs2bLA6o4iISLmUmQl33WUWgU2amJeANRSvlAQHwJNPPkl4eDjTp0/H4TBPCp46dYqBAwcybNgwfvzxR0tDioiIlEdPPglxceDvD199BX5+VicSd+EA8wzgmcUfgMPhYMSIEbTW6JMiIiJF7qOP4L33zDN+n3wCDRpYnUjciR2gUqVK7Nq1K9/K3bt346f/joiIiBSpdetsDBlivo+MhFtvtTSOuCE7wN13382AAQOYP38+u3fvZs+ePcybN4+BAwdyzz33WJ1RRESk3EhO9qZXLw8yMiA8HF54wepE4o4cAOPGjcNms3H//fdz6tQpADw9PXnkkUd44403LA0oIiJSXmRmwtix17B3r41GjeDjj81x/0RKmgPAy8uLt99+m6ioKP78808Mw6B+/fr4+vpanU9ERKTcGD7czrZtValUyeCrr2xUqmR1InFXjjM/+Pr60qxZM6uyiIiIlFvTpsG0aR7YbAZz5mTTsKHj3BuJFBMHQM+ePQtt9OWXX5ZIGBERkfIoLg4ee8x837fvNrp10yO/Yi0HmE8B2zTypIiISJHbu/fMmT5yuOuuPwAVgGItB8CsWbMsjiEiIlL+pKfD7bdDYiI0bQoffpiN5laQ0sAOcMstt3D06NF8K1NTU7nllltKOpOIiEiZZxgwaBCsWwcBAbBwIVxyidWpREx2gOXLl5OZmZlv5cmTJ/npp5+K7eDJyclERETg7++Pv78/ERERBRaiZzIMg8jISGrUqIGPjw/t27dny5YtedpkZGTw+OOPExgYSMWKFQkPD2fPnj152vz+++/cdtttBAYGUqlSJa6//np++OGHov6KIiLipsaPN2f48PCAzz+Hyy+3OpHIafZNmzYBsHXrVjZt2uR8bdy4kRkzZnDZZZcV28H79u1LQkIC0dHRREdHk5CQQERERKHbjB07lgkTJjBlyhTWrl1LcHAwnTp14tixY842w4YNY8GCBcybN4+VK1dy/PhxunfvTnZ2trPNrbfeyqlTp/j+++9Zv349zZs3p3v37iQmJhbb9xUREfcQHQ3PPmu+nzgRdDFNSh273W7Y7XbDZrPle/n6+hozZswwisPWrVsNwIiPj3cuW7VqlQEYv/32W4Hb5OTkGMHBwcYbb7zhXHby5EnD39/fmDp1qmEYhnH06FHD09PTmDdvnrPN3r17DbvdbkRHRxuGYRgHDx40AOPHH390tklNTTUA47vvvnP5O6SkpBiAkZKS4vI2rsrMzDS++uorIzMzs8j3Xd6or1ynvnKd+sp16qu8tm83DH9/wwDDGDDAMHJyTq9TX7muOPuqOP/9Liscf/75J5dffjlr1qzh0ksvdRaGXl5eVKtWDQ8Pj2IpPFetWoW/vz9t2rRxLrvuuuvw9/cnLi6Ohg0b5ttm586dJCYmEhYW5lzm7e1Nu3btiIuL4+GHH2b9+vVkZWXlaVOjRg2aNm1KXFwcnTt3pmrVqjRu3Jg5c+bQsmVLvL29+eCDDwgKCqJVq1ZnzZyRkUFGRobzc2pqKgBZWVlkZWVdVH/8V+7+inq/5ZH6ynXqK9epr1ynvjrt6FHo3t1BSoqN0NAcJk3K5t8JtgD11fkozr5S/4Ojbt265OTklPiBExMTqVatWr7l1apVO+tl2NzlQUFBeZYHBQXxzz//ONt4eXlRpUqVfG1yt7fZbMTGxnLbbbfh5+eH3W4nKCiI6OhoKleufNbMUVFRjB49Ot/ymJiYYps1JTY2tlj2Wx6pr1ynvnKd+sp17t5X2dk2XnutDX/8EUTVquk89NAKli3LKLCtu/fV+SiOvkpLSyvyfZY1eYYh37p1K7t27cr3QEh4eLjLO4yMjCywSDrT2rVrAQoce9AwjHOOSfjf9a5sc2YbwzAYMmQI1apV46effsLHx4cPP/yQ7t27s3btWqpXr17gPkaOHMnw4cOdn1NTU6lVqxZhYWFUKuL5fLKysoiNjaVTp054enoW6b7LG/WV69RXrlNfuU59ZXr6aTsbN3rg42OweLGDFi065GujvnJdcfZV7hU8d+YA+Ouvv7jjjjv49ddfsdlsGIYBnC60znx44lwee+wx+vTpU2ibunXrsmnTJg4cOJBv3cGDB/Od4csVHBwMmGf5zizSkpKSnNsEBweTmZlJcnJynrOASUlJtG3bFoDvv/+eRYsWkZyc7Czc3nvvPWJjY5k9ezbPPfdcgcf39vbG29s733JPT89i+4NcnPsub9RXrlNfuU595Tp37quPPoJ33jHfz55t49prC+8Hd+6r81UcfaW+/3cYmCeeeIKQkBAOHDiAr68vW7Zs4ccff6R169YsX778vHYYGBhIo0aNCn1VqFCB0NBQUlJSWLNmjXPb1atXk5KS4izU/iskJITg4OA8p4MzMzNZsWKFc5tWrVrh6emZp83+/fvZvHmzs03uqV+73Z63M+x2Sy6Hi4hI2bVyJQwebL5/+WXo1cvaPCKusIP5QMYrr7zCpZdeit1ux263c8MNNxAVFcXQoUOL5cCNGzemS5cuDBo0iPj4eOLj4xk0aBDdu3fP8wBIo0aNWLBgAWCekRw2bBhjxoxhwYIFbN68mX79+uHr60vfvn0B8Pf3Z8CAATz11FMsW7aMjRs3ct9999GsWTM6duwIQGhoKFWqVOGBBx7gl19+4ffff+eZZ55h586d3HrrrcXyfUVEpPz55x/o2dOc5u3OO+Gll6xOJOIaB5iXeC/5d3jywMBA9u3bR8OGDalTpw7bt28vtoN/8sknDB061PnEbnh4OFOmTMnTZvv27aSkpDg/jxgxgvT0dIYMGUJycjJt2rQhJiYGPz8/Z5uJEyficDjo3bs36enpdOjQgVmzZjmfaA4MDCQ6OppRo0Zxyy23kJWVxZVXXsnChQu5+uqri+37iohI+XHsGPToAQcPQvPmMHs2/OfCkkip5QBo2rQpmzZt4vLLL6dNmzaMHTsWLy8vpk2bxuXFOHR5QEAAc+fOLbRN7v2IuWw2G5GRkURGRp51mwoVKjB58mQmT5581jatW7dm6dKl55VXREQEIDsb+vaFX3+FoCD4+muoWNHqVCKucwC88MILnDhxAoDXXnuN7t27c+ONN1K1alXmzZtnaUAREZHSZuRIWLQIvL3NOX5r1bI6kcj5cQB07tzZueDyyy9n69atHDlyhCpVqpxzeBURERF3MmsWvPWW+X7mTDhjPgORMsMO0L9//zxz6YJ5eTYtLY3+/ftbEkxERKS0WbkSHnrIfP/ii3DPPdbmEblQdoDZs2eTnp6eb2V6ejpz5swp8VAiIiKlzZ9/wu23m0/83nUXFHIrukip50hJScEwDI4dO0aFChWcK7Kzs1m8eHGB07WJiIi4E3OOXzh8GFq10hO/UvY5AgICsNlsXHHFFflW2my2c07rJiIiUp5lZUHv3vDbb1CzpvnEbzFN/y5SYhzLli3jlltu4YsvviAgIMC5wsvLizp16lCjRg0L44mIiFjHMGDoUIiNNYd5+eYb0D+LUh442rdvz86dO6lVq1a+qdFERETc2dtvw9SpYLPBp5+aAz6LlAcOgDp16nD06FFmzJjBtm3bsNlsNGnShP79++Pv7291RhERkRL3zTfw1FPm+7fegvBwa/OIFCU7wLp166hXrx4TJ07kyJEjHDp0iAkTJlCvXj02bNhgdUYREZEStXGjOcRLTg4MHAjDh1udSKRoOQCefPJJwsPDmT59Og6HA4BTp04xcOBAhg0bxo8//mhpSBERkZKyZ4/5xO+JE9CxI7z3nnkJWKQ8cYB5BvDM4g/A4XAwYsQIWrdubVk4ERGRknTsGPToAfv2QZMm8H//B56eVqcSKXp2gEqVKrFr1658K3fv3o2fn1+JhxIRESlpp06Zl30TEqBaNfj2W9Bt8FJe2QHuvvtuBgwYwPz589m9ezd79uxh3rx5DBw4kHs0z42IiJRzhgFPPmkWfRUqmGP91a1rdSqR4uMAGDduHDabjfvvv59Tp04B4OnpySOPPMIbb7xhaUAREZHiNmkSTJlivv/4Y2jTxtI4IsXOkZ2dzapVq3j55ZeJiorizz//xDAM6tevj6+GOhcRkXLuyy/zDvdy113W5hEpCQ4PDw86d+7Mtm3bCAgIoFmzZlZnEhERKRHx8XDvveYl4CFDTheCIuWdHaBZs2b89ddfVmcREREpMX/+aQ7ufPIk3HqrOeuHhnsRd2EHeP3113n66adZtGgR+/fvJzU1Nc9LRESkPDlyBLp1g4MHoWVLmDcPzhgJTaTccwB06dIFgPDwcGxn/PfHMAxsNhvZ2dnWpBMRESliJ0+aZ/5+/x1q14ZFi+CSS6xOJVKyHAA//PCD1TlERESKXU4ORETAzz+bY/wtXgzVq1udSqTkOQDatWtndQ4REZFi9/TT5uweXl7w1Vdw5ZVWJxKxht3qACIiIiXh7bdh4kTz/axZ0L69lWlErKUCUEREyr0vvjBn+gB44w1zyjcRd6YCUEREyrWVK0+P9ffIIzBihNWJRKxnNwyDf/75h/T0dKuziIiIFKmtW80nfjMyzF/feUdj/YnAvwVggwYN2LNnj9VZREREiszevdClCyQnQ2gofPaZxvoTyWW32+00aNCAw4cPW51FRESkSKSkmAM9794NDRvCN9+AprcXOc0OMHbsWJ555hk2b95sdR4REZGLkpEBd9wBmzZBcDBER0PVqlanEildHAD33XcfaWlpXH311Xh5eeHj45On0ZEjRywJJyIicj5ycuD+++GHH8DPzxzouW5dq1OJlD4OgEmTJlkcQ0RE5OIYBgwbBv/7H3h6wpdfQosWVqcSKZ0cAA888IDVOURERC7KG2/A5Mnm+zlzoGNHa/OIlGbO56Gys7P56quv2LZtGzabjSZNmhAeHo6Hh4eV+URERM7po4/g+efN95MmQZ8+lsYRKfUcADt27KBbt27s3buXhg0bYhgGv//+O7Vq1eLbb7+lXr16VucUEREp0DffwEMPme+ffRaeeMLaPCJlgR1g6NCh1KtXj927d7NhwwY2btzIrl27CAkJYejQoVZnFBERKdDPP8Pdd0N2NjzwAERFWZ1IpGxwAKxYsYL4+HgCAgKcK6pWrcobb7zB9ddfb1k4ERGRs/n1V+jeHdLTzTH/pk/XLB8irrIDeHt7c+zYsXwrjx8/jpeXV4mHEhERKczff0PnznD0KLRtC59/bj75KyKusQN0796dhx56iNWrV2MYBoZhEB8fz+DBgwkPD7c6o4iIiFNSEnTqBPv3Q9OmsGiRZvkQOV92gHfeeYd69eoRGhpKhQoVqFChAtdffz3169fXGIEiIlJqpKZC166wYwfUqQNLl0KVKlanEil7HACVK1dm4cKF7Nixg23btmEYBk2aNKF+/fpW5xMREQHg5Em47TbYsAEuvRRiY6FGDatTiZRNdoBXXnmFtLQ06tevT48ePQgPD6d+/fqkp6fzyiuvWJ1RRETc3KlT5tO+y5ebU7wtWQINGlidSqTssgOMHj2a48eP51uZlpbG6NGjSzyUiIhIrpwcGDAAvv4avL3Ncf9atbI6lUjZZgcwDANbAc/O//LLL3mGhhERESlJhgFPPmlO7ebhYT7t266d1alEyj5HQEAANpuNK664Ik8RmJ2dzfHjxxk8eLCF8URExJ29+iq88475ftYs6NHD0jgi5YZjwoQJ9O/fn9GjR+Pv7+9c4eXlRd26dQkNDbUwnoiIuKu334aXXzbfv/MO3HeftXlEyhN7v379+OGHHxgyZAgPPPCA83XPPfcUe/GXnJxMREQE/v7++Pv7ExERwdGjRwvdxjAMIiMjqVGjBj4+PrRv354tW7bkaZORkcHjjz9OYGAgFStWJDw8nD179uTb17fffkubNm3w8fEhMDCQnj17FuXXExGRC/TRRzBsmPl+9Gh4/HFL44iUO3aAEydOsGzZsnwrly5dypIlS4rt4H379iUhIYHo6Giio6NJSEggIiKi0G3Gjh3LhAkTmDJlCmvXriU4OJhOnTrlmclk2LBhLFiwgHnz5rFy5UqOHz9O9+7dyc7Odrb54osviIiI4MEHH+SXX37h559/pm/fvsX2XUVExDWffw6DBpnvhw+HF1+0No9IeWQHeO655/IUR7kMw+C5554rlgNv27aN6OhoPvzwQ0JDQwkNDWX69OksWrSI7du3F7iNYRhMmjSJUaNG0bNnT5o2bcrs2bNJS0vj008/BSAlJYUZM2Ywfvx4OnbsSIsWLZg7dy6//vor3333HQCnTp3iiSee4K233mLw4MFcccUVNGzYkLvuuqtYvquIiLhmyRK4917zyd+BA2HcOM3vK1IcHAB//PEHTZo0ybeyUaNG7Nixo1gOvGrVKvz9/WnTpo1z2XXXXYe/vz9xcXE0bNgw3zY7d+4kMTGRsLAw5zJvb2/atWtHXFwcDz/8MOvXrycrKytPmxo1atC0aVPi4uLo3LkzGzZsYO/evdjtdlq0aEFiYiLNmzdn3LhxXHnllWfNnJGRQUZGhvNzamoqAFlZWWRlZV1Uf/xX7v6Ker/lkfrKdeor16mvXFdUffXTTzZ69vQgK8tGr145TJ6czalTRZGw9NDPleuKs6/U//8WgP7+/vz111/UrVs3z8odO3ZQsWLFYjlwYmIi1apVy7e8WrVqJCYmnnUbgKCgoDzLg4KC+Oeff5xtvLy8qPKfuYGCgoKc2//1118AREZGMmHCBOrWrcv48eNp164dv//++1mHvomKiipwXMSYmBh8i2kiytjY2GLZb3mkvnKd+sp16ivXXUxf/f57ZV5+uS0nT9po3TqRu+9ew9KlRhGmK130c+W64uirtLS0It9nWeMACA8Pd943V69ePcAs/p566inCw8PPa4eRkZHnHDx67dq1AAWOPXi2MQnP9N/1rmxzZpucnBwARo0axZ133gnAzJkzqVmzJp9//jkPP/xwgfsYOXIkw4cPd35OTU2lVq1ahIWFUalSpUKPf76ysrKIjY2lU6dOeHp6Fum+yxv1levUV65TX7nuYvtq0yZ48EEH6ek22rfPYeHCqvj4dC2GpNbTz5XrirOvcq/guTMHwFtvvUWXLl1o1KgRNWvWBGDPnj3ceOONjBs37rx2+Nhjj9GnT59C29StW5dNmzZx4MCBfOsOHjyY7wxfruDgYMA8y1e9enXn8qSkJOc2wcHBZGZmkpycnOcsYFJSEm3btgVwbnvmZW9vb28uv/xydu3addbc3t7eeHt751vu6elZbH+Qi3Pf5Y36ynXqK9epr1x3IX3122/QtSskJ0NoKHzzjZ1LLrEXU8LSQz9XriuOvlLfn3EJOC4ujtjYWH755Rd8fHy46qqruOmmm857h4GBgQQGBp6zXWhoKCkpKaxZs4Zrr70WgNWrV5OSkuIs1P4rJCSE4OBgYmNjadGiBQCZmZmsWLGCN998E4BWrVrh6elJbGwsvXv3BmD//v1s3ryZsWPHOtt4e3uzfft2brjhBsD8n8bff/9NnTp1zvs7i4jI+du5Ezp2hIMHoUULWLwYLrnE6lQi7sGR+8ZmsxEWFpbn4Yni1LhxY7p06cKgQYP44IMPAHjooYfo3r17ngdAGjVqRFRUFHfccQc2m41hw4YxZswYGjRoQIMGDRgzZgy+vr7OIVz8/f0ZMGAATz31FFWrViUgIICnn36aZs2a0bFjRwAqVarE4MGDefnll6lVqxZ16tThrbfeAqBXr14l8v1FRNzZnj3QoQPs3QtNmkBMDFSubHUqEffhLABPnDjBihUr2LVrF5mZmXkaDR06tFgO/sknnzB06FBn0RkeHs6UKVPytNm+fTspKSnOzyNGjCA9PZ0hQ4aQnJxMmzZtiImJwc/Pz9lm4sSJOBwOevfuTXp6Oh06dGDWrFl4eHg427z11ls4HA4iIiJIT0+nTZs2fP/99/keHhERkaK1fz/ccot5BrBePfjuO3DhwpGIFCEHwMaNG+nWrRtpaWmcOHGCgIAADh06hK+vL9WqVSu2AjAgIIC5c+cW2sYw8j4FZrPZiIyMJDIy8qzbVKhQgcmTJzN58uSztvH09GTcuHHnfY+jiIhcuKQk88zfH39AnTrw/fdwxi3dIlJC7ABPPvkkPXr04MiRI/j4+BAfH88///xDq1atVCCJiEiROHIEOnWCbdvgssvM4q92batTibgnO0BCQgJPPfUUHh4eeHh4kJGRQa1atRg7dizPP/+81RlFRKSMO3oUwsLMIV+Cg83i7/LLrU4l4r7sYF4OzR0jLygoyDkUir+/f6HDooiIiJxLaqo51Mv69ea9fsuWwRVXWJ1KxL05AFq0aMG6deu44ooruPnmm3nppZc4dOgQH3/8Mc2aNbM6o4iIlFHHjpnFX3w8VKliPvBRwMyjIlLC7ABjxoxxDo786quvUrVqVR555BGSkpKYNm2apQFFRKRsOnECbr0V4uLMIV6++w6uvtrqVCIC/54BbN26tXPBpZdeyuLFiy0LJCIiZV9aGnTvDj/9BP7+EBsLLVtanUpEctkBPDw8SEpKsjqLiIiUA+np0KMHLF8Ofn6wdCmccZ5BREoBO5hj7eU+BCIiInKh0tMhPNx8yveSSyA6Gtq0sTqViPyXw8PDA5vNRnBw8FkbZWdnl2AkEREpi9LT4c47zXv9KlY05/Y9y9TuImIxx8KFCwkPD2fmzJlU1kSMIiJyATIy7PTs6cGyZWbxt2QJ3Hij1alE5Gwc3bt35+WXX6ZXr174+vpanUdERMqY9HQYM6YNv/xiV/EnUkY4AF5++WWrc4iISBlkXvb14JdfqlGxosGSJTYVfyJlgMPqACIiUjalpZlP+37/vZ0KFU7xzTdw4436Z0WkLLBbHUBERMqe48fNQZ7Np30NXnppFTfcYFgdS0RcpP+qiYjIeTl2zCz+fvrJHOfv22+zOXLkiNWxROQ85DsDePLkSStyiIhIGZCaas7te+YMH9ddpzN/ImWNHSAnJ4dXX32Vyy67jEsuuYS//voLgBdffJEZM2ZYGlBEREqHo0chLAx+/vn03L4a5FmkbLIDvPbaa8yaNYuxY8fi5eXlXNmsWTM+/PBDy8KJiEjpcPgwdOgAq1dDQAAsW6bp3UTKMjvAnDlzmDZtGvfeey8eHh7OlVdddRW//fabZeFERMR6SUlw882wYQNceqk5x2/LllanEpGL4QDYu3cv9evXz7cyJyeHrKysEg8lIiKlw/795pm/bdugenXzzF/jxlanEpGLZQe48sor+emnn/Kt/Pzzz2nRokWJhxIREevt2gXt2pnFX82asGKFij+R8sI5E0hERAR79+4lJyeHL7/8ku3btzNnzhwWLVpkdUYRESlhO3aYZ/527YI6deCHHyAkxOpUIlJU7AA9evRg/vz5LF68GJvNxksvvcS2bdv45ptv6NSpk9UZRUSkBG3dCjfdZBZ/V1xhDvmi4k+kfHEOBN25c2c6d+5sZRYREbHYxo3mUC+HDkHTpuZQL0FBVqcSkaJmB1i7di2rV6/Ot3L16tWsW7euxEOJiEjJi483n/Y9dMgc4mX5chV/IuWVHeDRRx9l9+7d+Vbu3buXRx99tMRDiYhIyVq2DDp2hJQUuP5688xf1apWpxKR4mIH2Lp1Ky0LGNSpRYsWbN26tcRDiYhIyVm4ELp1gxMnoFMnWLrUnOZNRMovO4C3tzcHDhzIt3L//v04HI58y0VEpHz45BO4807IzIQ77oBvvoGKFa1OJSLFzQ7QqVMnRo4cSUpKinPF0aNHef755/UUsIhIOTV1KkREQHY23H8//O9/4O1tdSoRKQkOgPHjx3PTTTdRp04d58DPCQkJBAUF8fHHH1saUEREipZhQFQUjBplfn7sMXj7bbDbrc0lIiXHAXDZZZexadMmPvnkE3755Rd8fHx48MEHueeee/D09LQ6o4iIFJGcHHjmGZgwwfz8wgvwyitgs1mbS0RKlvMGv4oVK/LQQw9ZmUVERIrRqVMwaBDMmmV+njgRhg2zMpGIWMVZAP7+++8sX76cpKQkcnJy8jR66aWXSjyYiIgUnZMnoU8f84lfDw/46CPzvj8RcU8OgOnTp/PII48QGBhIcHAwtjOuBeRODSciImVTSgrcfrs5sLO3t/mwR3i41alExEoOgNdee43XX3+dZ5991uo8IiJShBIToUsX+OUX8PODr7+G9u2tTiUiVnMAJCcn06tXL6uziIhIEfrzT3Ne37/+Mqd0W7IE/h3oQUTcnB2gV69exMTEWJ1FRESKyMaN0LatWfxdfjn8/LOKPxE5zQFQv359XnzxReLj42nWrFm+oV+GDh1qSTgRETl/339v3vN37Bg0b26e+QsOtjqViJQmDoBp06ZxySWXsGLFClasWJGngc1mUwEoIlJGzJtnPt2blQXt2plP/WpeXxH5LwfAzp07rc4hIiIXaeJEGD7cfN+rF8yZAxUqWJtJREqnPBP/ZGZmsn37dk6dOmVVHhEROU85OfD006eLv8cfN88EqvgTkbOxA6SlpTFgwAB8fX258sor2bVrF2De+/fGG29YGlBERM4uIwMiImD8ePPzG29oXl8ROTc7wMiRI/nll19Yvnw5Fc74L2PHjh2ZP3++ZeFEROTsjh41x/j79FNwOGD2bHj2Wc3rKyLn5gD46quvmD9/Ptddd12eWUCaNGnCn3/+aVk4EREp2K5d0K0bbNliDvD8xRfQqZPVqUSkrHAAHDx4kGrVquVbeeLEiTwFoYiIWO+XX8zib98+qFEDFi+Gq6+2OpWIlCV2gGuuuYZvv/3WuTC36Js+fTqhoaHFdvDk5GQiIiLw9/fH39+fiIgIjh49Wug2hmEQGRlJjRo18PHxoX379mzZsiVPm4yMDB5//HECAwOpWLEi4eHh7Nmzp8D9ZWRk0Lx5c2w2GwkJCUX0zUREikdMDNx4o1n8XXklxMer+BOR82cHiIqKYtSoUTzyyCOcOnWKt99+m06dOjFr1ixef/31Yjt43759SUhIIDo6mujoaBISEoiIiCh0m7FjxzJhwgSmTJnC2rVrCQ4OplOnThw7dszZZtiwYSxYsIB58+axcuVKjh8/Tvfu3cnOzs63vxEjRlCjRo0i/24iIkVt+nTzzN+xY+Z8vitXQq1aVqcSkbLIDtC2bVt+/vln0tLSqFevHjExMQQFBbFq1SpatWpVLAfetm0b0dHRfPjhh4SGhhIaGsr06dNZtGgR27dvL3AbwzCYNGkSo0aNomfPnjRt2pTZs2eTlpbGp59+CkBKSgozZsxg/PjxdOzYkRYtWjB37lx+/fVXvvvuuzz7W7JkCTExMYwbN65YvqOISFHIyYGRI+GhhyA723zqd+lSqFzZ6mQiUlY5ct80a9aM2bNnl9iBV61ahb+/P23atHEuu+666/D39ycuLo6GDRvm22bnzp0kJiYSFhbmXObt7U27du2Ii4vj4YcfZv369WRlZeVpU6NGDZo2bUpcXBydO3cG4MCBAwwaNIivvvoKX19flzJnZGSQkZHh/JyamgpAVlYWWVlZ59cB55C7v6Leb3mkvnKd+sp1paWvTp6EAQM8+Pxzc1yXF17I5sUXc7DZzNk+SoPS0ldlgfrKdcXZV+r/fwvA3HH/zqZ27dpFfuDExMQCHzypVq0aiYmJZ90GICgoKM/yoKAg/vnnH2cbLy8vqlSpkq9N7vaGYdCvXz8GDx5M69at+fvvv13KHBUVxejRo/Mtj4mJcbmIPF+xsbHFst/ySH3lOvWV66zsq5QUL95441q2bauKh0cOjz6aQOvWu1myxLJIhdLPlevUV64rjr5KS0sr8n2WNQ6AunXrFvq0b0H3zp1NZGRkgUXSmdauXQtQ4DENwzjnk8f/Xe/KNme2mTx5MqmpqYwcObLQbf5r5MiRDM8dah/zDGCtWrUICwujUqVK57Wvc8nKyiI2NpZOnTrh6elZpPsub9RXrlNfuc7qvvrtN7j9dgd//WXD39/gf//L4eabmwHNSjzLuVjdV2WJ+sp1xdlXuVfw3JkDYOPGjXkWZmVlsXHjRiZMmHDeD4E89thj9OnTp9A2devWZdOmTRw4cCDfuoMHD+Y7w5crODgYMM/yVa9e3bk8KSnJuU1wcDCZmZkkJyfnOQuYlJRE27ZtAfj++++Jj4/H29s7z/5bt27Nvffee9ZL4d7e3vm2AfD09Cy2P8jFue/yRn3lOvWV66zoq2XL4M47ISUFQkLg229tNG7sOPeGFtPPlevUV64rjr5S3/9bAF5dwBgCrVu3pkaNGrz11lv07NnT5R0GBgYSGBh4znahoaGkpKSwZs0arr32WgBWr15NSkqKs1D7r5CQEIKDg4mNjaVFixaAOX/xihUrePPNNwFo1aoVnp6exMbG0rt3bwD279/P5s2bGTt2LADvvPMOr732mnO/+/bto3PnzsyfPz/PPYkiIiVt+nQYMgROnYK2beGrr+DSS61OJSLlTaH/pbziiiucl2uLWuPGjenSpQuDBg3igw8+AOChhx6ie/fueR4AadSoEVFRUdxxxx3YbDaGDRvGmDFjaNCgAQ0aNGDMmDH4+vrSt29fAPz9/RkwYABPPfUUVatWJSAggKeffppmzZrRsWNHIP89jZdccgkA9erVo2bNmsXyfUVECpOdbU7jljunb9++MGMGnDE7p4hIkXFA/mvhhmGwf/9+IiMjadCgQbEd/JNPPmHo0KHOJ3bDw8OZMmVKnjbbt28nJSXF+XnEiBGkp6czZMgQkpOTadOmDTExMfj5+TnbTJw4EYfDQe/evUlPT6dDhw7MmjULDw+PYvsuIiIXKjXVLPhyx+N/+WXzpYmYRKS4OAAqV65c4IMVtWrVYt68ecV28ICAAObOnVtoG8Mw8ny22WxERkYSGRl51m0qVKjA5MmTmTx5sks56tatm+84IiIl4e+/oUcP2LzZPNs3axbcfbfVqUSkvHMA/PDDD3kW2u12Lr30UurXr4/DUfpvPBYRKYt+/hluvx0OHYLq1WHhQrjmGqtTiYg7cAC0a9fO6hwiIm7lo49g8GBzMOcWLeDrr0G3IItISXF8/fXX52wUHh5eAlFERMq/U6fgmWdg0iTz8513wuzZULGipbFExM04br/99kIb2Gy28xoIWkRECpacbN7flzuxwejR8MILYLdbm0tE3I8jJyfH6gwiIuXetm0QHg47doCvL3z8MZzHEKsiIkXKDtC/f3+OHTtmdRYRkXJp4UJo08Ys/urUgbg4FX8iYi07wOzZszl58qTVWUREypWcHPMy7+23w7Fj0K4drF0LBUy+JCJSohwPPvgghmEwdOhQfHx8Cmz00UcflXAsEZGyLTUV7r/fPPsHMHQojBsHmoJUREoDx/Hjx7HZbKSkpOgsoIhIEdi+He64w7zvz9sbpk6Ffv2sTiUicprj888/JyQkhI8//piqVatanUdEpExbuNA885eaCjVqwIIFcO21VqcSEcnLDrBz504VfyIiFyE7G1580bzfLzUVbrwR1q9X8ScipZNznrdly5axbNkykpKS+O/QMLoHUETk7JKToW9fiI42Pz/xBLz1lu73E5HSywEwevRoXnnlFVq3bk316tWx2WxW5xIRKRM2bjRn89i5E3x8YNo0uO8+q1OJiBTOATB16lRmzZpFRESE1XlERMqMjz6CIUMgIwMuvxy++AKaN7c6lYjIudkBMjMzadu2rdVZRETKhJMnYdAgGDDALP66d4d161T8iUjZYQcYOHAgn376qdVZRERKvb/+guuvhw8/NOfwff1188nfKlWsTiYi4joHwMmTJ5k2bRrfffcdV111FZ7/uXN5woQJloQTESlNFi6EBx6AlBQIDITPPoOOHa1OJSJy/hwAmzZtovm/1y42b96cp4EeCBERd5eVBSNHwvjx5ufQUJg/H2rVsjaXiMiFcgD88MMPVucQESmV9uyBiAj4+Wfz8/Dh8MYbGuJFRMo2x7mbiIi4p3XrqjFggIPDh8HfH2bONKd4ExEp6xw9e/Y8Z6Mvv/yyBKKIiJQOWVnw3HN2JkwIBaBlS/jf/6BePYuDiYgUEYe/v7/VGURESo1//oE+fSA+3gOARx/NZvx4D7y9LQ4mIlKEHDNnzrQ6g4hIqfDVV9C/vzm1m7+/weDBa3n11RZ4enpYHU1EpEjZrQ4gImK19HR49FHz/r7kZLj2Wliz5hShofutjiYiUixUAIqIW9u6Fdq0gffeMz+PGAE//QQhIdbmEhEpTnoKWETckmHAjBkwdKh5BrBaNfj4YwgLM9dnZVmbT0SkOKkAFBG3c/gwPPQQ5A5wEBYGc+ZAUJC1uURESoouAYuIW/n+e7j6arP48/SEsWNhyRIVfyLiXnQGUETcQmYmvPSSWfAZBlxxhTmXb8uWVicTESl5KgBFpNzbuhXuuw82bjQ/DxoEEydCxYrW5hIRsYouAYtIuWUYMHkytGplFn9Vq5qXfqdNU/EnIu5NZwBFpFzatw8efBBiYszPXbrARx9B9erW5hIRKQ10BlBEyp3586FZM7P4q1ABpkyBxYtV/ImI5NIZQBEpN44cMWf0mDfP/NyyJcydC40bW5tLRKS00RlAESkXliyBpk3N4s/Dw3ziNz5exZ+ISEF0BlBEyrTUVHjqKfjwQ/Nzo0bmoM7XXGNtLhGR0kxnAEWkzIqNNc/65RZ/w4bBhg0q/kREzkVnAEWkzDl2DJ5+2hzOBeDyy2HmTLjpJmtziYiUFToDKCJlSkyMedYvt/h7/HHYtEnFn4jI+dAZQBEpE5KTzXv9Zs40P9eta75v397KVCIiZZPOAIpIqbdwIVx5pVnw2WwwdCj8+quKPxGRC6UzgCJSah04AE88YQ7sDHDFFeZsHtdfb20uEZGyTmcARaTUMQyYNcscw2/+fLDb4dlnISFBxZ+ISFHQGUARKVX+/BMefhiWLTM/t2hhDvPSsqW1uUREyhOdARSRUiErC95805zDd9kycw7fN9+ENWtU/ImIFDVLC8Dk5GQiIiLw9/fH39+fiIgIjh49Wug2hmEQGRlJjRo18PHxoX379mzZsiVPm4yMDB5//HECAwOpWLEi4eHh7Nmzx7n+77//ZsCAAYSEhODj40O9evV4+eWXyczMLI6vKSLnsGqVWeQ99xykp8PNN5sPeYwYAQ5dpxARKXKWFoB9+/YlISGB6OhooqOjSUhIICIiotBtxo4dy4QJE5gyZQpr164lODiYTp06cezYMWebYcOGsWDBAubNm8fKlSs5fvw43bt3Jzs7G4DffvuNnJwcPvjgA7Zs2cLEiROZOnUqzz//fLF+XxHJ6+hReOQRaNsWNm+GwECYPds8A1i/vtXpRETKL8v+b71t2zaio6OJj4+nTZs2AEyfPp3Q0FC2b99Ow4YN821jGAaTJk1i1KhR9OzZE4DZs2cTFBTEp59+ysMPP0xKSgozZszg448/pmPHjgDMnTuXWrVq8d1339G5c2e6dOlCly5dnPu9/PLL2b59O++//z7jxo0rgW8v4t4MA+bONWfzSEoyl/XvD2PHQtWq1mYTEXEHlhWAq1atwt/f31n8AVx33XX4+/sTFxdXYAG4c+dOEhMTCQsLcy7z9vamXbt2xMXF8fDDD7N+/XqysrLytKlRowZNmzYlLi6Ozp07F5gnJSWFgICAQjNnZGSQkZHh/JyamgpAVlYWWVlZrn1xF+Xur6j3Wx6pr1xXGvpq61YYOtSDH380L0A0bGjw7rvZ3HST8W82y6LlURr6qqxQX7lOfeW64uwr9b+FBWBiYiLVqlXLt7xatWokJiaedRuAoKCgPMuDgoL4559/nG28vLyoUqVKvjZn2++ff/7J5MmTGT9+fKGZo6KiGD16dL7lMTEx+Pr6FrrthYqNjS2W/ZZH6ivXWdFX6ekefP55QxYurEd2th0vr1P06bOdHj3+5Phxg8WLSzySS/Rz5Tr1levUV64rjr5KS0sr8n2WNUVeAEZGRhZYJJ1p7dq1ANhstnzrDMMocPmZ/rvelW3O1mbfvn106dKFXr16MXDgwEL3MXLkSIYPH+78nJqaSq1atQgLC6NSpUqFbnu+srKyiI2NpVOnTnh6ehbpvssb9ZXrrOgrw4DPP7fx7LMe7N1r/hns0SOHCRMM6tS5AriiRHKcL/1cuU595Tr1leuKs69yr+C5syIvAB977DH69OlTaJu6deuyadMmDhw4kG/dwYMH853hyxUcHAyYZ/mqV6/uXJ6UlOTcJjg4mMzMTJKTk/OcBUxKSqJt27Z59rdv3z5uvvlmQkNDmZY7s3whvL298fb2zrfc09Oz2P4gF+e+yxv1letKqq82b4bHH4fly83PISHw9tvQo4edsjIKlX6uXKe+cp36ynXF0Vfq+2L4GzgwMJBGjRoV+qpQoQKhoaGkpKSwZs0a57arV68mJSUlX6GWKyQkhODg4DyngzMzM1mxYoVzm1atWuHp6Zmnzf79+9m8eXOe/e7du5f27dvTsmVLZs6cid1eNv4xEikLjh6FJ5+E5s3N4q9CBXjlFdiyBXr0sDiciIhYdw9g48aN6dKlC4MGDeKDDz4A4KGHHqJ79+55HgBp1KgRUVFR3HHHHdhsNoYNG8aYMWNo0KABDRo0YMyYMfj6+tK3b18A/P39GTBgAE899RRVq1YlICCAp59+mmbNmjmfCt63bx/t27endu3ajBs3joMHDzqPl3uWUUTOX3Y2zJgBo0bBoUPmsjvugAkToG5dS6OJiMgZLB1i9ZNPPmHo0KHOJ3bDw8OZMmVKnjbbt28nJSXF+XnEiBGkp6czZMgQkpOTadOmDTExMfj5+TnbTJw4EYfDQe/evUlPT6dDhw7MmjULDw8PwHxoY8eOHezYsYOaNWvmOZ5hGMX1dUXKtR9/hCeeMOfrBXMe30mT4IwH8kVEpJSwtAAMCAhg7ty5hbb5b0Fms9mIjIwkMjLyrNtUqFCByZMnM3ny5ALX9+vXj379+p1vXBEpwF9/mTN2fPGF+blyZRg92hzgWbfZiIiUTppkSUQuSEoKvPYavPMOZGaC3Q6DBsGrr8Kll1qdTkRECqMCUETOS1YWTJ8OL798+j6/Tp1g/Hho1szabCIi4hoVgCLiEsOAhQvh2Wfh99/NZY0amYVf165wjqE4RUSkFNHYJyJyTvHxcNNN5hO9v/9uXuKdMgU2bYJu3VT8iYiUNToDKCJn9dtv8MILpx/w8PGB4cPNhz6KePIbEREpQSoARSSfvXshMhJmzjTH9rPZoF8/czDn/4ycJCIiZZAKQBFxOnwYxo41n+w9edJcFh4OY8bAlVdam01ERIqOCkARITUVJk40Z+zInSP9xhvhjTfgLDMziohIGaYCUMSNpaXBu+/Cm2+aZ//AnL/3tdf0cIeISHmmAlDEDaWnm0/xvvkmHDhgLmvUyLzH7847zUGdRUSk/FIBKOJG0tPhm28uZ/BgB4mJ5rKQEHNQ53vvBYf+RhARcQv6617EDaSlwbRpMHasg/37zek66tQxh3h54AHN2Ssi4m5UAIqUY8ePw3vvmbN1JCUB2AgMTOOVV7wYMMCBl5fVCUVExAoqAEXKoeRk8x6/SZPgyBFzWd26MGLEKS69dBm33dZFZ/1ERNyYCkCRciQx0RzO5b33zLN/AA0awPPPm/f4gcHixTlWRhQRkVJABaBIObBjh3mZd+ZMyMgwlzVrBs89B717n364IyvLuowiIlJ6qAAUKcPWrjVn7vjyS8j598ReaKh5xu/WWzWOn4iIFEwFoEgZk5MDS5bAuHGwfPnp5V27wrPPwk03qfATEZHCqQAUKSPS0mDOHPPBju3bzWUOB/TtC08/bV7yFRERcYUKQJFSbu9eeP9985X7RG+lSjBoEDzxBNSqZW0+EREpe1QAipRChgGrVsHkyfB//wenTpnLQ0LMoq9/f/DzszajiIiUXSoARUqRkydh/nyz8Fu//vTyG280C7/bbwcPD8viiYhIOaECUKQU+PNPmDoVPvro9GVeb29z7L7HH4fmzS2NJyIi5YwKQBGLnDoF335rFn7R0aeX164Ngweb9/gFBlqXT0REyi8VgCIl7O+/YcYM87V//+nlXbrAkCHQrZsu84qISPFSAShSAjIy4OuvzaIvJsZ8yAPMM3z9+sHDD0P9+pZGFBERN6ICUKQYbdpk3tc3dy4cPnx6eceO5iXe224z7/UTEREpSSoARYpYUhJ89pk5aPOGDaeXX3aZebavXz+d7RMREWupABQpAunpsGiRWfQtWQLZ2eZyT08ID4cBAyAsTPf2iYhI6aACUOQCZWfD99/Dp5/CF1/AsWOn1117Ldx/P9x9t57kFRGR0kcFoMh5yMmB+HhzsOb//Q8SE0+vq13bnJf3/vuhcWPrMoqIiJyLCkCRczAMWLvWLPo+/xx27z69LiAAevc2C7/rrwe73bqcIiIirlIBKFKA7GyIizMv7X75Zd6iz8/PfHr37rvN+/q8vKzLKSIiciFUAIr86+RJ856+hQvN14EDp9dVrAg9ephFX5cuUKGCdTlFREQulgpAcWuHDplP7S5caE7HduLE6XWVK5tP8N55J3TqBD4+lsUUEREpUioAxa0YBvzyizkH77ffmg905M7KAeZYfeHh5iXem2/W5V0RESmfVABKuXf4MHz3HSxdar727cu7/uqrzcu7t90GrVqBzWZNThERkZKiAlDKnYwMWLXKLPq++w7WrMl7ls/XFzp0gO7doVs3qFnTuqwiIiJWUAEoZV5WFmzfXoUtW+wsXw4rV5ozc5ypaVPo3Nl83XijHuIQERH3pgJQypyTJ2HdOvjpJ1i+HH7+2cGJEzflaRMcDB07mmf6OnUy7+0TERERkwpAKfWSkmD1avj5Z/Ps3tq1kJl5Zgsbfn6Z3HKLg1tusdOxozkTh+7lExERKZgKQClV0tMhIcEs8uLjzdfOnfnbBQWZM2+0bw9t22axa9cSunfvhqenpuIQERE5FxWAYpkTJ+DXX2HjRli/3rysu3mzOQvHmWw284xeaCjccIP5qlfv9Bm+rCzYs6fk84uIiJRVKgCl2OXkwD//mMXe5s2waZN5lu/33/M+nZurWjW45hq47jrzdc014O9f4rFFRETKLRWAUmSysuCvv+C332DbttO/btmSd4aNMwUHQ/Pm5vh7rVubr8su0/17IiIixalU3DD13nvvERISQoUKFWjVqhU//fRToe1XrFhBq1atqFChApdffjlTp07N1+aLL76gSZMmeHt706RJExYsWHDRxxWzkNu8GRYtgnfegaFDoWtXaNDAHF+vUSO4/XYYORJmzzbH4DtxwpxR4+qr4d57ISrKnHZt/37ztWQJvPaauV3Nmir+REREipvlZwDnz5/PsGHDeO+997j++uv54IMP6Nq1K1u3bqV27dr52u/cuZNu3boxaNAg5s6dy88//8yQIUO49NJLufPOOwFYtWoVd999N6+++ip33HEHCxYsoHfv3qxcuZI2bdpc0HHdwYkTp4uyfftg9+68r3/+gYMHC99HbhF45qtpU6hfHzw9S+Z7iIiISOEsLwAnTJjAgAEDGDhwIACTJk1i6dKlvP/++0RFReVrP3XqVGrXrs2kSZMAaNy4MevWrWPcuHHOAnDSpEl06tSJkSNHAjBy5EhWrFjBpEmT+Oyzzy7ouGVJZiYcOwapqeavycmnX0eOmK+kJLOYy30lJpptXVG5MoSEQN26ZmHXoMHpV/XqYC8V55VFRETkbCwtADMzM1m/fj3PPfdcnuVhYWHExcUVuM2qVasICwvLs6xz587MmDGDrKwsPD09WbVqFU8++WS+NrlF44UcFyAjI4OMjAzn59TUVACysrLIysoq/MuehwULbAweHMuJE6ew2xdjs9kxDDvggWF4AQ4MwwvD8AQqkJPjg2H4YBgVMAwf4MKnubDZ0rDbk/DwOICHx348PPad8dqDw7EHuz2VpCSziFyzpoi+9EUwDIOMjAy8vb2x6fpxodRXrlNfuU595Tr1lety+6p27dqsXr26SPddlP9ml1WWFoCHDh0iOzuboKCgPMuDgoJITEwscJvExMQC2586dYpDhw5RvXr1s7bJ3eeFHBcgKiqK0aNH51seExODr6/v2b/oeVqwoCHJyd2KYE9pwDEg+YzXkX9/PQgk/fvrQeAAsB/DOEZ2dv6hWERERKyyePHiIt1fWlpake6vLLL8EjCQ739BhmEU+j+jgtr/d7kr+zzf444cOZLhw4c7P6emplKrVi3CwsKoVKnSWbc7XwEBNn76aTzJyYdxOOzYbAaQg82WA2Ris2Vhs2UBWdhsJ7HZ0s/4NR27/Tg223FstvOt4ir9+ypb9D9q16mvXKe+cp36ynXqK9edeQawW7eiOClyWu4VPHdmaQEYGBiIh4dHvrNuSUlJ+c7O5QoODi6wvcPhoGrVqoW2yd3nhRwXwNvbG29v73zLPT098SzCJxxuvBF27hzK4sWL6datW5HuuzzKyspSX7lIfeU69ZXr1FeuU1+5rjj7Sn1v8TAwXl5etGrVitjY2DzLY2Njadu2bYHbhIaG5msfExND69atnb+hZ2uTu88LOa6IiIhIeWH5JeDhw4cTERFB69atCQ0NZdq0aezatYvBgwcD5mXXvXv3MmfOHAAGDx7MlClTGD58OIMGDWLVqlXMmDHD+XQvwBNPPMFNN93Em2++yW233cbChQv57rvvWLlypcvHFRERESmvLC8A7777bg4fPswrr7zC/v37adq0KYsXL6ZOnToA7N+/n127djnbh4SEsHjxYp588kneffddatSowTvvvOMcAgagbdu2zJs3jxdeeIEXX3yRevXqMX/+fOcYgK4cV0RERKS8srwABBgyZAhDhgwpcN2sWbPyLWvXrh0bNmwodJ933XUXd9111wUfV0RERKS80pC9IiIiIm5GBaCIiIiIm1EBKCIiIuJmVACKiIiIuBkVgCIiIiJuRgWgiIiIiJtRASgiIiLiZlQAioiIiLgZFYAiIiIibqZUzARSVhmGAUBqamqR7zsrK4u0tDRSU1Px9PQs8v2XJ+or16mvXKe+cp36ynXqK9cVZ1/l/rud+++4O1IBeBGOHTsGQK1atSxOIiIiIufr2LFj+Pv7Wx3DEjbDncvfi5STk8O+ffvw8/PDZrMV6b5TU1OpVasWu3fvplKlSkW67/JGfeU69ZXr1FeuU1+5Tn3luuLsK8MwOHbsGDVq1MBud8+74XQG8CLY7XZq1qxZrMeoVKmS/pJwkfrKdeor16mvXKe+cp36ynXF1VfueuYvl3uWvSIiIiJuTAWgiIiIiJtRAVhKeXt78/LLL+Pt7W11lFJPfeU69ZXr1FeuU1+5Tn3lOvVV8dJDICIiIiJuRmcARURERNyMCkARERERN6MCUERERMTNqAAUERERcTMqAEuh9957j5CQECpUqECrVq346aefrI5UKv3444/06NGDGjVqYLPZ+Oqrr6yOVCpFRUVxzTXX4OfnR7Vq1bj99tvZvn271bFKrffff5+rrrrKOfhsaGgoS5YssTpWqRcVFYXNZmPYsGFWRymVIiMjsdlseV7BwcFWxyq19u7dy3333UfVqlXx9fWlefPmrF+/3upY5YoKwFJm/vz5DBs2jFGjRrFx40ZuvPFGunbtyq5du6yOVuqcOHGCq6++milTplgdpVRbsWIFjz76KPHx8cTGxnLq1CnCwsI4ceKE1dFKpZo1a/LGG2+wbt061q1bxy233MJtt93Gli1brI5Waq1du5Zp06Zx1VVXWR2lVLvyyivZv3+/8/Xrr79aHalUSk5O5vrrr8fT05MlS5awdetWxo8fT+XKla2OVq5oGJhSpk2bNrRs2ZL333/fuaxx48bcfvvtREVFWZisdLPZbCxYsIDbb7/d6iil3sGDB6lWrRorVqzgpptusjpOmRAQEMBbb73FgAEDrI5S6hw/fpyWLVvy3nvv8dprr9G8eXMmTZpkdaxSJzIykq+++oqEhASro5R6zz33HD///LOufhUznQEsRTIzM1m/fj1hYWF5loeFhREXF2dRKilvUlJSALOokcJlZ2czb948Tpw4QWhoqNVxSqVHH32UW2+9lY4dO1odpdT7448/qFGjBiEhIfTp04e//vrL6kil0tdff03r1q3p1asX1apVo0WLFkyfPt3qWOWOCsBS5NChQ2RnZxMUFJRneVBQEImJiRalkvLEMAyGDx/ODTfcQNOmTa2OU2r9+uuvXHLJJXh7ezN48GAWLFhAkyZNrI5V6sybN48NGzbo6oQL2rRpw5w5c1i6dCnTp08nMTGRtm3bcvjwYaujlTp//fUX77//Pg0aNGDp0qUMHjyYoUOHMmfOHKujlSsOqwNIfjabLc9nwzDyLRO5EI899hibNm1i5cqVVkcp1Ro2bEhCQgJHjx7liy++4IEHHmDFihUqAs+we/dunnjiCWJiYqhQoYLVcUq9rl27Ot83a9aM0NBQ6tWrx+zZsxk+fLiFyUqfnJwcWrduzZgxYwBo0aIFW7Zs4f333+f++++3OF35oTOApUhgYCAeHh75zvYlJSXlOysocr4ef/xxvv76a3744Qdq1qxpdZxSzcvLi/r169O6dWuioqK4+uqrefvtt62OVaqsX7+epKQkWrVqhcPhwOFwsGLFCt555x0cDgfZ2dlWRyzVKlasSLNmzfjjjz+sjlLqVK9ePd9/tho3bqyHIYuYCsBSxMvLi1atWhEbG5tneWxsLG3btrUolZR1hmHw2GOP8eWXX/L9998TEhJidaQyxzAMMjIyrI5RqnTo0IFff/2VhIQE56t169bce++9JCQk4OHhYXXEUi0jI4Nt27ZRvXp1q6OUOtdff32+oap+//136tSpY1Gi8kmXgEuZ4cOHExERQevWrQkNDWXatGns2rWLwYMHWx2t1Dl+/Dg7duxwft65cycJCQkEBARQu3ZtC5OVLo8++iiffvopCxcuxM/Pz3mG2d/fHx8fH4vTlT7PP/88Xbt2pVatWhw7dox58+axfPlyoqOjrY5Wqvj5+eW7j7RixYpUrVpV95cW4Omnn6ZHjx7Url2bpKQkXnvtNVJTU3nggQesjlbqPPnkk7Rt25YxY8bQu3dv1qxZw7Rp05g2bZrV0coXQ0qdd99916hTp47h5eVltGzZ0lixYoXVkUqlH374wQDyvR544AGro5UqBfURYMycOdPqaKVS//79nX/+Lr30UqNDhw5GTEyM1bHKhHbt2hlPPPGE1TFKpbvvvtuoXr264enpadSoUcPo2bOnsWXLFqtjlVrffPON0bRpU8Pb29to1KiRMW3aNKsjlTsaB1BERETEzegeQBERERE3owJQRERExM2oABQRERFxMyoARURERNyMCkARERERN6MCUERERMTNqAAUERERcTMqAEVERETcjApAERERETejAlBE3N5nn31GhQoV2Lt3r3PZwIEDueqqq0hJSbEwmYhI8dBUcCLi9gzDoHnz5tx4441MmTKF0aNH8+GHHxIfH89ll11mdTwRkSLnsDqAiIjVbDYbr7/+OnfddRc1atTg7bff5qeffnIWf+PHj2fixIkEBgYCcNtttzF69GgrI4uIXBSdARQR+VfLli3ZsmULMTExtGvXzrn8wQcf5LbbbuP222+3LpyISBHSPYAiIsDSpUv57bffyM7OJigoKM+6zZs3c9VVV1mUTESk6OkMoIi4vQ0bNtC+fXveffdd5s2bh6+vL59//jlg3h9YuXJlQkJCAGjRogUzZ860Mq6IyEXTPYAi4tb+/vtvbr31Vp577jkiIiJo0qQJ11xzDevXr6dVq1b89ddfNGnShFWrVlkdVUSkyOgSsIi4rSNHjtC1a1fCw8N5/vnnAWjVqhU9evRg1KhRgHn5t3HjxlbGFBEpcjoDKCJuKyAggG3btuVbvnDhQud7FYAiUh7pDKCISCG2bNmiAlBEyh09BCIiIiLiZnQGUERERMTNqAAUERERcTMqAEVERETcjApAERERETejAlBERETEzagAFBEREXEzKgBFRERE3IwKQBERERE3owJQRERExM2oABQRERFxMyoARURERNzM/wOd2YjDDY3zGgAAAABJRU5ErkJggg==' width=640.0/>\n",
+       "            </div>\n",
+       "        "
+      ],
+      "text/plain": [
+       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "q = -Am * sym.SingularityFunction(x,0,-2) - Av * sym.SingularityFunction(x,0,-1) + 1*sym.SingularityFunction(x,a,-2)\n",
+    "V = -sym.integrate(q,x)+C1\n",
+    "M = sym.integrate(V,x)+C2\n",
+    "kappa = M / EI\n",
+    "phi = sym.integrate(kappa,x)+C3 \n",
+    "w = - sym.integrate(phi,x)+C4 \n",
+    "eq1 = sym.Eq(w.subs(x,0),0)\n",
+    "eq2 = sym.Eq(phi.subs(x,0),0)\n",
+    "eq3 = sym.Eq(M.subs(x,-1),0)\n",
+    "eq4 = sym.Eq(M.subs(x,L+1),0)\n",
+    "eq5 = sym.Eq(V.subs(x,-1),0)\n",
+    "eq6 = sym.Eq(V.subs(x,L+1),0)\n",
+    "sol = sym.solve([eq1,eq2,eq3,eq4,eq5,eq6],[C1,C2,C3,C4,Av,Am])\n",
+    "w_sol = w.subs(sol)\n",
+    "w_subs = w_sol.subs([(L,6),(a,6),(EI,1500)])\n",
+    "w_inf_numpy = sym.lambdify([L,a,EI,x],w_sol.rewrite(sym.Piecewise))\n",
+    "\n",
+    "display(sym.simplify(w_subs.rewrite(sym.Piecewise)))\n",
+    "plt.figure()\n",
+    "x_plot = np.linspace(0,6,100)\n",
+    "plt.plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "plt.plot(x_plot,w_inf_numpy(L=6,a=6,EI=1500,x=x_plot),color=\"blue\")\n",
+    "plt.xlabel('$x_F$')\n",
+    "plt.ylabel('Influence factor rotation')\n",
+    "axs = plt.gca()\n",
+    "axs.grid()\n",
+    "axs.invert_yaxis()\n",
+    "title0 = 'Influence line for rotation at $x_w =  6 $'\n",
+    "axs.set_title(title0);\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "7c50afb0",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Comparison displacement with $\\phi$ and influence line for $\\phi$ at $x = ...$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "48f3717f",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "c6daf568697a452c9cb101c7ff1ff86c",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "interactive(children=(FloatSlider(value=2.0, description='Location rotation x_phi = ... (m)', layout=Layout(wi…"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "bbab2e8e3e094a88a1a44a2f5ee0a807",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "image/png": 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+      "text/html": [
+       "\n",
+       "            <div style=\"display: inline-block;\">\n",
+       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+       "                    Figure\n",
+       "                </div>\n",
+       "                <img 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TB58mQEBQXhzJkz5Vq3vK/nPn364ODBg5DJZAgKCgKgOJPXqFEjfPzxx5DL5Tp9YE3Xvvn4+OCnn35S+yDn48ePsXfv3kq3Xdnfp7oeB6W1UZl+VZahj2N7e3s8fvwYW7duxZAhQ2BnZ4fs7GysW7cO48ePVwXgp+nrmH6Wj2cqB8NNH6aKKOmyZEIIsWTJEgFA/PDDD0IIIQ4fPiykUqnw9fUVO3bsED///LPo16+fkEgkYvv27ar1lBP733zzTRETEyNOnjwpHj16JIQQYuzYscLc3FysWLFCHDhwQCxZskTUq1dPNGjQQO2yW6W1UfyDFrr2q6SL4Zd0aZ7iSvoQWWW3X1XbK22b8fHxwsbGRjRt2lR888034uDBg2Lbtm1i9OjRqnEWQohLly4JBwcH0blzZ7FhwwZx6NAh8csvv4jly5eLwMDAUvuvj591dbV748YN0aBBA+Hv7y+ys7OFEIrLtpmYmIiZM2eq6mVmZgqJRCKuXr1a6r7r07JlywQA0b9/fxEbG6uxKB0+fFiYmJiI+fPna7QRFBQkHBwcVD/rkJAQAUBs3rxZrR6KXf5Om4cPH4pOnTqJpUuXij179ojDhw+LpUuXCgsLCzFmzBghRPmOtfK8nnfu3Kn6UFB0dLSq/PXXXxcAhIODgygoKCh1m+Xp22+//Sbq1KkjevbsKXbv3i3+7//+T/j6+orGjRsLiURS6jiVtq3y7HdJr2Ndj4PS2qjMz6Oyv08NeRwLIcTzzz8vTp8+Lby9vcX169dF586dxe3bt0Xjxo3F3bt3S+17Zeh6PAtR8jGt6/FMVYuBt4YpLfA+efJENGrUSLRo0ULk5+cLIYquz2htbS0sLS1Fly5dxJ49ezTWnTVrlvDw8BB16tRRu25ienq6GD9+vHBxcRFWVlaie/fu4siRIyIgIEDjl3RJbZR2Hd7S+lVVgbey26+q7ZW1zcuXL4tXXnlFODk5CTMzM9GoUSMxbtw4jevw3rhxQ7zxxhuifv36QiqVinr16omuXbuKBQsWlNp/ffysq6PdxMRE0axZM/H8889rXI0iJCREmJubq14bx44dE3Xr1q30p73LIyAgoNRPgyspXy/z5s3TaCMzM1NMmTJFuLm5CTMzM9GhQwexbds2jToAxKhRo0rtT05Ojpg4caLo0KGDqFu3rrC0tBStWrUS8+bNU90JsLzHmq6v5/T0dFGnTh1hbW0t8vLyVOVbtmwRAMSwYcM01qlM4BVCiN27d6uuw9uoUSOxaNEiMWXKFOHg4FDqOJW2rfLut7bXcXmOg5LaqMzPo7K/Tw15HAuhuFJNWFiYePHFF4UQiqt+fPbZZ+KVV14ptd+VpevxLETJx7QuxzNVPYkQQlTw5DAR0TNtzZo1+PHHH3Ho0CFDd0XvIiMjMWjQIJw7dw7t27c3dHeeWXK5HB07dkT9+vWxb98+Q3eHKmj48OE4duwYNmzYgAEDBqgeR0RE6PXOlmS8+KE1IjJa586dK/Wi9zXZoUOHMGrUKIbdYsaPH4+goCC4u7sjOTkZa9euxZUrV/DFF18YumtUCQ4ODrCxsUH//v0BKD7E5uTkxLBLOuMZXiIiMhojRoxATEwM7t+/D6lUiueffx6zZ89WBSUiqp0YeImIiIjIqPGyZERERERk1Bh4iYiIiMio8UNrRFRpN27cwPbt26GcIfXSSy/xw1RERPTMYOCtwYQQyMzMhK2tbaVuf0tUWevWrcOiRYthZmOHvKxHSEhIwKZNmwzdLSIiIgCc0lCjpaWlwc7ODmlpaYbuSo0ml8vx888/Qy6XG7orNVZhYSEsHN3gNukHWNRvjfz8fEN3qUbja1I/OI76wXHUD46jYTHwEhEREZFRY+AlIiIiIqPGwEtERERERo2Bl4iIiIiMGgMvERERERk1Bl4iIiIiMmoMvERERERk1Bh4iYiIiMioMfASERERkVFj4CUiIiIio8bAS0RERERGjYGXiIiIiIwaAy8RERERGTUGXiIiIiIyagy8RERERGTUGHiJiIiIyKgx8BIRERGRUWPgJSIiIiKjxsBLREREREaNgZeIiIiIjBoDLxFVWGJiIjZs2IDz58+rlV+/fh0bNmzA9evXDdQzIiKiIgy8RFRh33zzDd544w389ttvqGPnCgAwsXPD8ePH8cYbb2DRokUG7iEREREDLxFVwmuvvQYTU1PY93wdTi9/AgBwHDgVToPeAwCEhIQYsntEREQAGHiJqBI8PT0x7rXXkH3qJwh5rqJQFCLr+A70HzAAnTt3NmwHiYiIwMBLRJU0Z84cFORkIvNsJAAg+8+jyLl/G/NDQw3bMSIion8x8BJRpRSd5d2NwtxsZMZuR99+/Xl2l4iInhkMvERUacqzvCk7P0Fu6j+Y9/FcQ3eJiIhIhYFXR6tXr4anpycsLCzg7e2NI0eOlFo/Ojoa3t7esLCwQNOmTbF27VqNOjt37kSbNm1gbm6ONm3aYPfu3VXVfaIqpTzLm/vPRXR63hsvvPCCobtEz6jQ0FB07NjR0N0golqGgVcHERERmDp1KubMmYOzZ8/C398fAwYMwO3bt7XWv3HjBgYOHAh/f3+cPXsWs2fPxpQpU7Bz505VndjYWIwcORLBwcE4d+4cgoODMWLECBw/fry6dotIrz766CN06vQ8gl/9r6G7UmWEEAgNDYWHhwcsLS3Rs2dPXLp0qcz1dHlz+/Sbal9fX412d+3ahX79+sHZ2RkSiQTx8fEabbz55pto1qwZLC0tUa9ePQwZMgR//vmnWp3BgwejUaNGsLCwgLu7O4KDg5GYmFi+gSAiqmEYeHWwfPlyjB8/HhMmTICXlxfCw8PRsGFDrFmzRmv9tWvXolGjRggPD4eXlxcmTJiAN954A8uWLVPVCQ8PR1BQEGbNmoXWrVtj1qxZ6N27N8LDw3XuV2Fh0dfCQkCIooWoujVp0gTHj8ehadOmhu5KlVmyZAmWL1+Or776CidPnoSbmxuCgoKQmZlZ4jq6vLkt/qa6e/fu+PTTT9XeVGdlZaFbt26lXtvY29sbGzZswJUrV/D7779DCIG+ffuioKBAVScwMBA//vgjEhISsHPnTly/fh0vv/xyucYhLy+vXPWJiAxNIgTjUWny8vJgZWWFHTt2YOjQoaryd999F/Hx8YiOjtZYp0ePHujUqRPCw8ORlpYGANi7dy/Gjx+PO3fuQCqV4rnnnsPEiRPx1ltvqdZbs2YNvv76a61nbgAgNzdX7Q9N8+ZpKCjwBvAPgLpa1igAIP5dCp/6WrRIJMrvC/79Pv/f7wue+poPIF/1vUQi//c5OSSS/KfKlI/zIJE8XZb37/d5qu8lkjwAOU89n6sqK3qsLJNDIin5Z1RZQgjk5ubC3NwckqrcUC1gzGMphEBKSgqsra1hY2OjKrt37x5sbW1hbW2tdb309HQIIeDo6KgqS0tLg0QigYODAwAgNTUVUqkUdnZ2atuytLRE3brqx3Z+fj7u378PZ2dnSKXSUvssl8uRmpqKevXqwdTUVGudnJwcpKenw83NrcSfmbIvBQUFyMnJgYWFBezt7fHo0SPk5OSgoKAAJiYmsLS0hI2NjVo7jx8/RlZWFoQQsLCwQJ06dZCbm4t69eqV2nd9MObXY3XiOOqHchwbNmyIgwcPVtl2pFIpbG1t+bMqhoG3DImJiahfvz6OHTuGrl27qsrDwsKwadMmJCQkaKzTsmVLjBs3DpMnT1b9ASMiIiKqDhkZGRpvlms77W/5SUPxd0pCiFLfPUkkEtja2iI1NRUAcPz4cbz44ou4dOkSXF1d4ebmhlWrVmH48OGqdXbs2IF33323xPl0xc/w9unzMq5fPw0npxYwMTEFoOxPnX+/L1qEkDxVXgdAHQhRB4AJAJN/v68DwLRYuem/35v++1zxr1LVY8X3Zlq+NwMghRDmT5UXLUWPzf99bA7AopSfRlXJB5ANieQJJJJs1KlT9L3icRYkkhxIJFlPPZ/17/NZxeoplydVenb6WVNYWIh79+7B1dUVdeo82zOm0tMfIjc3Fw4O9jA3Ny+zfl5eHh48eAAXFxeYmJioyh8+fIiCggI4OTlpXS8pKQn29vawtLRUlT158gQPHz6Eu7s7CgoKkJKSAicnJ5iZmQEoGkcTExO4uLiotVfWGd6srCxkZmZCCAETExM4OjpqnN199OgRsrOzIYSAVCqFo6NjqT+vlJQUmJqaqp2l1ubx48fIycmBs7MzAM0z18oyIUS1nOGtSa/HZxnHUT+U49i2bVut/x3WF+UZXlLHwFsGZ2dnmJiYIDk5Wa08JSUFrq6uWtdxc3NDcnIyJBKJ6o9gbm4uTE1N0aJFC0ilUri7uyMrK0vtj+STJ0/g5uZW4h/O4vbv/z94enri1Kl9aNKkScV28BklBJCbC+TkAE+eFC3FH2dnq3+vXIo/zspS/165ZGcD6tMRHVXzoJVzpCtDIgFsbABb26KvyqVuXc3HyjJt39vYAE/lLJXTt9Kw5vB12FpIYWNuClsLU9haSP/9Wvzxv3XMTVGnjv6T+IMHD+Ds7IxLly7p/Do2hMePH8O5ngskFjbIyn6CH3/8Eb1791Y9v2XLFrz55puqx7/99htMTEzQrVs3xMfHw93dXfVcSEgI/vnnH0RFRWndlpmZGVavXo3Ro0ertT9+/HgkJiaq/ou0Z88e+Pn5ASgaR09PT1y9elWtvZs3b8LT0xMymUzr1Q4yMjKQkpKCpKQkLFu2DHfv3sWxY8dgYVH0JjI1NRVpaWm4desW5s+fDzs7O+zdu7fEN/FNmjRBSEgI5syZo1b+f//3fwgPD8e1a9fw+PFj5Ofnw97eXvWm3cHBAV988QXGjh2rWmfatGk4dOhQiVO39KmmvB6fdRxH/VCOY3R0NMfRABh4y2BmZgZvb2/IZDK1ObwymQxDhgzRuo6fnx/27NmjVrZv3z74+Piozsj4+flBJpNh2rRpanWenjZRm0kkgIWFYrG3r9ptJSc/gLt7M1y4cANmZg6qMPz4cdFS/LG2JTOz6GtmZtEHCJWP9cHGpigAKxd5/WzcdEspf1vmRYFY8X1RKK6rKisqt7EwRd2n6thamEJqUjPP9vz666/IzXkCj/HL8fDQt3hx0Ev4de8eVegdPHgwfH19VfXr16+PpKQkAEBycrJa4C3tzS9Q9Ab4aU+vU9KbagAVOgtqZ2cHOzs7tGjRAl26dIGDgwN2796tFridnZ3h7OyMli1bwsvLCw0bNkRcXJwqcGtTfI5yXFwcRo0ahfnz56Nfv36ws7PD9u3b8fnnn5e7z0REVY2BVwfTp09HcHAwfHx84Ofnh2+++Qa3b9/GxIkTAQCzZs3C3bt38f333wMAJk6ciK+++grTp09HSEgIYmNjsX79emzbtk3V5rvvvosePXpg8eLFGDJkCH7++Wfs378fR48eNcg+1maK9yAZcHcvhL7edAuhOMusDLvalkePSv5euSgfy+WKdpXh+ulZLzad8uHoKiDkueXq46M84FElg7i5aZ1/g7AiIFuYAE6D3sNHuy/Cyc5aFZptLExhay6FjYUJbC2ksDYrCtMW0jp6/3CFlZVVqW1G/PgjLD1aQOrcEM5D5yB192dqodfW1lbjX4Kenp5wc3ODTCZDp06dACimOURHR2Px4sUlbqusN7clvakGoJe71Sk/KFPa8wBKraPNsWPH0LhxY7Wzvrdu3VKr4+Xlhbi4OLUzvHFxceXaDhGRXgjSyapVq0Tjxo2FmZmZeP7550V0dLTquddee00EBASo1T98+LDo1KmTMDMzE02aNBFr1qzRaHPHjh2iVatWQiqVitatW4udO3eWq093794VAMTdu3crtE+kkJmZKUaOHCkyMzMN3ZUS5eQIkZIixLVrQpw5I8Thw0L88osQmzcL8WrYVdFw2v8pL8fBBRCPHz8ucSwzMzOFmbmFsA8YJxp/sFc0/mCvaPTeLmHV1FuYW1iKw4cPl7juokWLhJ2dndi1a5e4cOGCGD16tHB3dxePHj1S1QkODhYffvih6vGxY8eEiYmJWLRokbhy5YpYtGiRMDU1FXFxcao627dvF1KpVKxfv15cvnxZvP3228LU1FRcunRJVefBgwfi7Nmz4tdffxUAxPbt28XZs2dFUlKSEEKI69evi7CwMHHq1Clx69YtERMTI4YMGSIcHR3FvXv3hBBCHD9+XKxcuVKcPXtW3Lx5Uxw8eFB0795dNGvWTOTk5JS4340bNxYrVqxQK/vpp5+Eqamp2LZtm7h27Zr44osvhKOjo7Czs1PbL3Nzc7F+/XqRkJAgPv74Y2Frayuee+65ErelTzXh2K4JOI76wXE0LAbeGiw1NVUAEKmpqYbuSo2Wl5cnfvrpJ5GXl2forlTIqZsPxLK98QYPmc/SMnjFfrHuj+tax2v79u0CgPB481vR6P3dwuXlUGHdvo+QWtkKAGLWrFkljnVhYaGYN2+ecHNzE+bm5qJHjx7iwoULanUCAgLEa6+9plamy5vbp99Ud+rUSXz22Wdqr8kNGzZo3dd58+YJIRRvgAcMGCBcXFyEVCoVDRo0EGPGjBF//vmnqo3z58+LwMBA4ejoKMzNzUWTJk3ExIkTxZ07d0p9jWkLvEIIMWPGDOHk5CRsbGzEyJEjxYoVK9QCrxBCfPbZZ8LZ2VnY2NiI1157TcycObPaAm9NP7afFRxH/eA4GhYvS1aDKSfAp6amcgJ8JcjlckRGRmLgwIFlXtf0WSWEQHZ2dql1CgsFHufl43FOPjJz5cjKyUdmTj4ycxVfH+fkIytP/u/3BcjMlSvq5uTjcZ4cmTkFeJyTj4LCZ/9XhkRqDrcMT7TPbws7O8VcZzs7xfL118Nx6vx+WDTvjNxrx5H/JBOeTVtgzOgReOWVV9ChQweDX7/SGF6TzwKOo35wHPWD42hYnMNLZAQkEkmJNz54WmUvVCOEQI68EJk5cjzKyUdmzr8BOVfx/cOsXJy5+CfcGzZBVl7hv4FargrUynVy8/VwCYwyJFyS4oTGlHgBSA4A4hGyLt0ECqcAeAU3/u6ApUsl+PrromCsXJRh+enQrO15OzvFhwpr02XoiIhqCgZeItKZRCKBpZkJLM1M4KLlmuZyuRxuGZcxcGDrUs9g5OUrQvPjf88uP/o3OCuCsfypM89F5U9//zhXsZTmPwNN0aI/kJGh+OBfRgaQkSHBzZsRyMtzQ25uBzx6JFFdUSMvD0hNVSwVVaeO9oCsS1h+ej0iItIvBl4iqnZmpnXgZGMOJ5uyb/hQkoJCoTqz/PRZ5sx/zyR7N3JAGw9ta/ZTe1RYqLjyhSIQqy9FQVmzrPhz+fmKth4+VCyVYWVlCnPzfnBxMYW9fckhubRgbWGIe7cQET2jGHhrsPXr1wMAPDw80K5dO4SHh8Pf39/Avao5/vjjDyxduhSnT59GUlISduzYgZdfftnQ3apxFi5ciF27duHPP/+EpaUlPD090axZM7Rr165Kt2tSRwI7SynsLCs3F055VrZuXaBhw4q1obwMnS5BuaTn09LyIZcrfiVnZ0uQnW2B9PSK75eZWcWC8tOLtXXNn6Lxf//3f/jPf/6Dd999F+Hh4YbuTo0SGhqK+fPnq5W5urpqvWY0le7u3buYMWMG9u7di/z8fLRs2RLr16+Ht7e3obtWazDw1lARERGq618eOnQIP/74IwYMGIDLly+jUaNGBu5dzZCVlYXnnnsOwcHBGDlypKG7U2NFR0fj7bffxgsvvIAnT57grbfewosvvojLly/rNK/YGEgkgJWVYnnqnhTlsmfPbygsNIWrawukpxfi88+/xeHDZ7F8+XrY2zfSKUhnZBTd5CQvD7h/X7FUVElTNMo7VUPbHQKrw6lTp7Bv3z60b9/eMB0wAm3btsVvv/2GAwcOoHfv3mp37CPdpKeno1u3bggICMDcuXPxn//8B7dv34Z9Vd9VidQw8NZQy5cvx6uvvoqNGzeiVatWCA8Px++//441a9Zg4cKFhu5ejTBgwAAMGDAAcuVdHahCnr6lrlwuxzvvvIPXXnsNp0+fRo8ePQzYs5rlpZdeUn0vl8uRl9cNZ858C2trGcaOHa9zO4WFitBb2tlkXcJzQYH+pmhYW5cdkss6C21eztkvjx8/xtixY/H222/jwIEDlduBWszU1BRubm5wcHCAm5sbry5QAYsXL0bDhg3x7bffIjIyEk2aNEGLFi0M3a1ah4G3BsrLy8Pp06cxadIkbNy4UVXet29fxMTEGK5jRIDq8miOjo4G7knNVVBQgCNHjiArK6vU2/1qU6dOUUisqOJTNMoTlJ/+PidH0Z7ydt1P3yGwvIpP0SgrKH/zzRp06vQWHB07Ijf3HPLyzCBEzZ+iUd2uXr2Kxo0bo6CgAAEBAVi0aBGaNm1q6G7VKL/88gv69euHUaNG4cCBA2jSpAnefvtthISEGLprtQoDbw2UmpqKgoICuLi4qJVzbhUZmhAC3333Hbp161blc3iN0YULF+Dn54ecnByYm5tjx44daNOmTbX3Qx9TNADFtIqyPuxX2lnojAzFBwqVbZVvisYMAMCOHQDQC8ePA998o/tVNEo6E21ra7gpGtXN19cX33//PTw9PbF3714cOHAAXbt2xaVLl3jt93L4+++/sWbNGrz77rvo3r07zM3NMWXKFJibm6vddpuqFgNvDVb84vhCCINfMJ9qt3fffRc3b97E8ePHDd2VGqlVq1aIj49Hamoqli1bhvHjxyM6OtogoVcfzMyAevUUS0UVFBRN0SgejLUF5eTkJ/jjj7Pw9OyEvDwLpKbK8fixCQATFBQA6emo1IcBAcX1lsuaglFWgDYzq1wfqsOAAQMAKKbY/PPPP5gyZQpat26NTZs2Yfr06QbuXc1RWFgIHx8fLFiwQHXjiT///BNr1qxh4K1GDLw1kLOzM0xMTHDv3j218pSUFLi6uhqoV1TbvfPOO9i7dy8WLFiABg0aGLo7NZKZmRmaN2+Oxo0bIzg4GOnp6fjiiy/w9ddfG7prBmNiAtjbKxZd/PTT7zhwYCiuX1echlXcTLQQgDXq1HHAuXM3kZVlUqHpGrm5im08fqxY7t6t+H6Zm+t+hrmkIG1lVb1TNKytrdG+fXtcvXq1+jZqBNzd3TXetHp5eWHnzp0G6lHtxMBbA5mZmcHb2xvR0dFq5TKZDEOGDDFQr6i2EkLgnXfewe7duyGTyfjHUI+EEMhVpizSSe/evXHhwgUAijOTR44cwffffw8vLy988MEHaNeu4vMRcnPLd21mbWXKKRq5uUBKimKpKBOT8ofl4o/LM0UjNzcXV65c4eUvy6lbt25ISEhQK/vrr7/QuHFjA/WodmLgraGmT5+OV199FQCQkJCAHTt24Pbt25g4caKBe1ZzPH78GNeuXVNdpeHmzZuIj4+Ho6MjL+1WDm+//Ta2bt2Kn3/+Gba2tkhPT0dycjKcnZ1haWlp6O7VGLNnz8aAAQPQsGFDpKWlYfPmzYiOjla7CgaVzdbWVjV/XC6X4/bt27C2toaTk1Ol55Wbm+tnioa2D/mVdZ3m4iG6sBB6m6Jha6s9KF+5Eoc2berDzc0SN27Y4OOPv8GDB/5o0eJ/OHNGvW5NmKJhKNOmTUPXrl2xaNEi1KtXD9u2bcM333yDb775xtBdq1UkQvH/HqqBlixZgg8++ABSqRTt27fHihUreBmocjh8+DACAwM1yl977TW1q19Q6UqaN75hwwaMGzeuejtTg40fPx4HDhxAUlIS7Ozs4O7ujkWLFqnmUVL5yeVyREZGYvny5ejUqZPR3HhCCMVVL3Sd11xSmNbnPw8sLHSfjlHS89U9RaM67d27Fx9++CH++usvNG3aFO+99x6v0lDNGHhrsAcPHsDZ2Rmpqan8xGwlKP8oDhw4kNeYrCSOpX5wHPWD41i63Nyyzyg/egSkpxciISEJ1tbuePSojtpzyika+mBiUv6bmmi7ikadOvrrkz7x9WhYnNJARERUC5mbAy4uiqU0cnkBIiNP/RvU1NNk8SkaZZ11LukMtHKKRlqaYqkM5RSNis5rtrMDmEeNDwMvERERVYiJCeDgoFgqSgjFmeLyBGdtZXl5ivYyMxXLnTsV71NJUzTKCspPl1laGu8UjZqIgZeIiIgMRiJRnJW1tQXq1694O8opGrre1ETbBwazshRt5eQolmJX/ywXU1P1AGxra4KcnM4wNZXgxRcr3i5VDAMvERER1Xi6TtEoTX6+IgDrcqWMks5CK6do5OcXn6JRB4A7kpPz9bC3VF4MvERERERQnJV1dFQsFaWcolE8HD94kI9jxy6iS5e2+usw6YyBl4iIiEhPnp6i8fRNJ+VyARubW2jZkoHXEJ7Ri3cQEREREekHAy8RERERGTUGXiIiIiIyagy8Olq9ejU8PT1hYWEBb29vHDlypNT60dHR8Pb2hoWFBZo2bYq1a9eqPX/p0iUMHz4cTZo0gUQiMZpbXhIRERE9axh4dRAREYGpU6dizpw5OHv2LPz9/TFgwADcvn1ba/0bN25g4MCB8Pf3x9mzZzF79mxMmTIFO3fuVNXJzs5G06ZNsWjRIri5uVXXrhARERHVOgy8Oli+fDnGjx+PCRMmwMvLC+Hh4WjYsCHWrFmjtf7atWvRqFEjhIeHw8vLCxMmTMAbb7yBZcuWqeq88MILWLp0KUaNGgVzc/Pq2hUiIiKiWoeBtwx5eXk4ffo0+vbtq1bet29fxMTEaF0nNjZWo36/fv1w6tQpyOXyKusrEREREWnidXjLkJqaioKCAri6uqqVu7q6Ijk5Wes6ycnJqvrKgOvk5IT8/HwkJSXB3d1dY52CgoIyw3Bubi5yc3NVj9P+vX2LXC5nkK4E5dhxDCuPY6kfHEf94DjqB8dRP6prHKVSaZW2X1Mx8OpIIpGoPRZCaJRpqx8ZGQkAuHLlCgDg4MGDcHBwUKubnZ2Ny5cvq+qWZNu2bYiIiNAoP3ToEKysrMreCSqVTCYzdBeMBsdSPziO+sFx1A+Oo35U9TgOGTKkStuvqRh4y+Ds7AwTExONs7kpKSkaZ32V3NzcVPUHDhwIQDE1wtTUFCNGjNB492VlZYU2bdqo6pakd+/eWLVqlepxWloaWrZsicDAQDg5OZV730hBLpdDJpMhKCiI74wriWOpHxxH/eA46gfHUT84jobFwFsGMzMzeHt7QyaTYejQoapymUxW4rsoPz8/7NmzB0DRvxYOHjwIHx+fEs/EmpiYlHkASKVS2NjYaC3nwVN5HEf94VjqB8dRPziO+sFx1A+Oo2HwQ2s6mD59Or799lt89913uHLlCqZNm4bbt29j4sSJAIBZs2Zh7NixqvoTJ07ErVu3MH36dFy5cgXfffcd1q9fj/fff19VJy8vD/Hx8YiPj0deXh7u3r2L+Ph4XLt2rdr3j4iIiMiY8QyvDkaOHIkHDx7gk08+QVJSEtq1a4fIyEg0btwYAJCUlKR2TV5PT09ERkZi2rRpWLVqFTw8PPDll19i+PDhqjqJiYno1KmT6vGyZcuwbNkyBAQE4PDhw9W2b0RERETGjoFXR5MmTcKkSZO0Prdx40aNsoCAAJw5c6bE9po0aQIhhL66R0REREQl4JQGIiIiIjJqDLxEREREZNQYeImIiIjIqDHwEhEREZFRY+AlIiIiIqPGwEtERERERo2Bl4iIiIiMGgMvERERERk1Bl4iIiIiMmoMvERERERk1Bh4iYiIiMioMfASERERkVFj4CUiIiIio8bAS0RERERGjYGXiIiIiIwaAy8RERERGTUGXiIiIiIyagy8RERERGTUGHiJiIiIyKgx8BIRERGRUWPgJSIiIiKjxsBLREREREaNgZeIiIiIjBoDLxEREREZNQZeIiIiIjJqDLw6Wr16NTw9PWFhYQFvb28cOXKk1PrR0dHw9vaGhYUFmjZtirVr16o9v27dOvj7+8PBwQEODg7o06cPTpw4UZW7QERERFQrMfDqICIiAlOnTsWcOXNw9uxZ+Pv7Y8CAAbh9+7bW+jdu3MDAgQPh7++Ps2fPYvbs2ZgyZQp27typqnP48GGMHj0ahw4dQmxsLBo1aoS+ffvi7t271bVbRERERLUCA68Oli9fjvHjx2PChAnw8vJCeHg4GjZsiDVr1mitv3btWjRq1Ajh4eHw8vLChAkT8MYbb2DZsmWqOlu2bMGkSZPQsWNHtG7dGuvWrUNhYSEOHDhQXbtFREREVCuYGroDz7q8vDycPn0aH374oVp53759ERMTo3Wd2NhY9O3bFwAgl8sBAL1798b69euRnZ0NqVSqsU5mZibkcjnq1q2rWqe43Nxc5Obmqh6npaWptlHSOlQ25dhxDCuPY6kfHEf94DjqB8dRP6prHLVlDGLgLVNqaioKCgrg6uqqVu7q6ork5GSt6yQnJ6vqR0ZGAgD+/vtv5OfnIyIiAo6OjhrrfP3117C3t4dcLletU9y2bdsQERGhUX7o0CFYWVmVa79Ik0wmM3QXjAbHUj84jvrBcdQPjqN+VPU4DhkypErbr6kYeHUkkUjUHgshNMq01R84cCAAwN7eHgDQp08fuLm5qdVdtmwZ4uLiIJPJ0KFDhxLb7N27N1atWqV6nJaWhpYtWyIwMBBOTk7l2h8qIpfLIZPJEBQUxHfGlcSx1A+Oo35wHPWD46gfHEfDYuAtg7OzM0xMTDTO5qakpGic9VVyc3NT1Ve+qNPS0mBqago3Nze1F/qyZcuwePFi7N+/H97e3qX2RSqVwsbGRms5D57K4zjqD8dSPziO+sFx1A+Oo35wHA2DH1org5mZGby9vTX+BSGTydC1a1et6/j5+WnU37dvH3x8fNRe5EuXLsWnn36KqKgo+Pj46L/zRERERMTAq4vp06fj22+/xXfffYcrV65g2rRpuH37NiZOnAgAmDVrFsaOHauqP3HiRNy6dQvTp0/HlStX8N1332H9+vV4//33VXWWLFmCjz76CN999x2aNGmC5ORkJCcn4/Hjx9W+f0RERETGjFMadDBy5Eg8ePAAn3zyCZKSktCuXTtERkaicePGAICkpCS1a/J6enoiMjIS06ZNw6pVq+Dh4YEvv/wSw4cPV9VZvXo18vLy8PLLL6tta968eQgNDa2W/SIiIiKqDRh4dTRp0iRMmjRJ63MbN27UKAsICMCZM2dKbO/mzZt66hkRERERlYZTGoiIiIjIqDHwEhEREZFRY+AlIiIiIqPGwEtERERERo2Bl4iIiIiMGgMvERERERk1Bl4iIiIiMmoMvERERERk1Bh4iYiIiMioMfASERERkVFj4CUiIiIio8bAS0RERERGjYGXiIiIiIwaAy8RERERGTUGXiIiIiIyagy8RERERGTUGHiJiIiIyKgx8BIRERGRUWPgJSIiIiKjxsBLREREREaNgZeIiIiIjBoDLxEREREZNQZeIiIiIjJqDLxEREREZNQYeHW0evVqeHp6wsLCAt7e3jhy5Eip9aOjo+Ht7Q0LCws0bdoUa9euVXt+165d8PHxgb29PaytrdGxY0f88MMPVbkLRERERLUSA68OIiIiMHXqVMyZMwdnz56Fv78/BgwYgNu3b2utf+PGDQwcOBD+/v44e/YsZs+ejSlTpmDnzp2qOo6OjpgzZw5iY2Nx/vx5vP7663j99dfx+++/V9duEREREdUKDLw6WL58OcaPH48JEybAy8sL4eHhaNiwIdasWaO1/tq1a9GoUSOEh4fDy8sLEyZMwBtvvIFly5ap6vTs2RNDhw6Fl5cXmjVrhnfffRcdOnTA0aNHq2u3iIiIiGoFBt4y5OXl4fTp0+jbt69aed++fRETE6N1ndjYWI36/fr1w6lTpyCXyzXqCyFw4MABJCQkoEePHvrrPBERERHB1NAdeNalpqaioKAArq6uauWurq5ITk7Wuk5ycrKqvjLgOjk5IT8/H0lJSXB3dwcAZGRkoEmTJsjNzYWJiQlWrlyJnj17ag3FAJCbm4vc3FzV47S0NNU2SlqHyqYcO45h5XEs9YPjqB8cR/3gOOpHdY2jVCqt0vZrKgZeHUkkErXHQgiNMm31IyMjAQBXrlwBABw8eBAODg4AgMLCQixbtgxPnjzB+fPnMXXqVNy7dw/t27fX2ua2bdsQERGhUX7o0CFYWVmVf6dIjUwmM3QXjAbHUj84jvrBcdQPjqN+VPU4DhkypErbr6kYeMvg7OwMExMTjbO5KSkpGmd9ldzc3FT1Bw4cCEAxNcLU1BQjRowo8d2XRCLBH3/8gQ8++EDr871798aqVatUj9PS0tCyZUsEBgbCycmp3PtGCnK5HDKZDEFBQXxnXEkcS/3gOOoHx1E/OI76wXE0LAbeMpiZmcHb2xsymQxDhw5VlctkshLfRfn5+WHPnj0Aiv61cPDgQfj4+JR6JlYikSAvL6/EA0EqlcLGxkZrOQ+eyuM46g/HUj84jvrBcdQPjqN+cBwNg4FXB9OnT0dwcDB8fHzg5+eHb775Brdv38bEiRMBALNmzcLdu3fx/fffAwAmTpyIr776CtOnT0dISAhiY2Oxfv16bNu2TdXmwoUL4ePjg2bNmiEvLw+RkZH4/vvvS7zyAxERERFVDAOvDkaOHIkHDx7gk08+QVJSEtq1a4fIyEg0btwYAJCUlKR2TV5PT09ERkZi2rRpWLVqFTw8PPDll19i+PDhqjpZWVmYNGkS7ty5A0tLS7Ru3RqbN2/GyJEjq33/iIiIiIwZA6+OJk2ahEmTJml9buPGjRplAQEBOHPmTIntLViwAAsWLNBX94iIiIioBLwOLxEREREZNQZeIiIiIjJqDLxEREREZNQYeImIiIjIqDHwEhEREZFRY+AlIiIiIqPGwEtERERERo2Bl4iIiIiMGgMvERERERk1Bl4iIiIiMmoMvERERERk1Bh4iYiIiMioMfASERERkVFj4CUiIiIio8bAS0RERERGjYGXiIiIiIwaAy8RERERGTUGXiIiIiIyagy8RERERGTUGHiJiIiIyKgx8BIRERGRUWPgJSIiIiKjxsBLREREREaNgZeIiIiIjBoDLxEREREZNQZeHa1evRqenp6wsLCAt7c3jhw5Umr96OhoeHt7w8LCAk2bNsXatWtLrLt9+3ZIJBL85z//0XOviYiIiIiBVwcRERGYOnUq5syZg7Nnz8Lf3x8DBgzA7du3tda/ceMGBg4cCH9/f5w9exazZ8/GlClTsHPnTo26t27dwvvvvw9/f/+q3g0iIiKiWomBVwfLly/H+PHjMWHCBHh5eSE8PBwNGzbEmjVrtNZfu3YtGjVqhPDwcHh5eWHChAl44403sGzZMrV6BQUF+O9//4v58+ejadOm1bErRERERLWOqaE78KzLy8vD6dOn8eGHH6qV9+3bFzExMVrXiY2NRd++fQEAcrkcANC7d2+sX78e2dnZkEqlAID58+fDyckJY8eORXR0NAoLC1X1tcnNzUVubq7qcVpammobpa1HpVOOHcew8jiW+sFx1A+Oo35wHPWjusZRmTFIHQNvGVJTU1FQUABXV1e1cldXVyQnJ2tdJzk5WVU/MjISAPD3338jPz8fERERcHR0xJUrV7B27VqsWLECkZGRuHPnDrKyslT1tdm2bRsiIiI0yg8dOgQrK6uK7iL9SyaTGboLRoNjqR8cR/3gOOoHx1E/qnochwwZUqXt11QMvDqSSCRqj4UQGmXa6g8cOBAAYG9vDwDo06cPrK2tMXXqVGzYsAH9+/cHAOzcuRMPHz5U1demd+/eWLVqlepxWloaWrZsicDAQDg5OVVov0jxblsmkyEoKIjvjCuJY6kfHEf94DjqB8dRPziOhsXAWwZnZ2eYmJhonM1NSUnROOur5ObmpqqvfFGnpaXB1NQUbm5uuHTpEm7evImhQ4eq1iksLAQAWFpaIiEhAc2aNdNoVyqVwsbGRms5D57K4zjqD8dSPziO+sFx1A+Oo35wHA2DH1org5mZGby9vTX+BSGTydC1a1et6/j5+WnU37dvH3x8fCCVStG6dWtcuHAB8fHxqmXw4MEIDAxEfHw8GjZsWGX7Q0RERFTb8AyvDqZPn47g4GD4+PjAz88P33zzDW7fvo2JEycCAGbNmoW7d+/i+++/BwBMnDgRX331FaZPn46QkBDExsZi/fr12LZtGwDAwsIC7dq1U9uGcspD8XIiIiIiqhwGXh2MHDkSDx48wCeffIKkpCS0a9cOkZGRaNy4MQAgKSlJ7Zq8np6eiIyMxLRp07Bq1Sp4eHjgyy+/xPDhww21C0RERES1FgOvjiZNmoRJkyZpfW7jxo0aZQEBAThz5ozO7Wtrg4iIiIgqj3N4iYiIiMioMfASERERkVFj4CUiIiIio8bAS0RERERGjYGXiIiIiIwaAy8RERERGTUGXiIiIiIyagy8RERERGTUGHiJiIiIyKgx8BIRERGRUWPgJSIiIiKjxsBLREREREaNgZeIiIiIjBoDLxEREREZNQZeIiIiIjJqDLxEREREZNQYeImIiIjIqDHwEhEREZFRY+AlIiIiIqPGwEtERERERo2Bl4iIiIiMGgMvERERERk1Bl4iIiIiMmoMvERERERk1Bh4iYiIiMioMfDqaPXq1fD09ISFhQW8vb1x5MiRUutHR0fD29sbFhYWaNq0KdauXav2/MaNGyGRSDSWnJycqtwNIiIiolqHgVcHERERmDp1KubMmYOzZ8/C398fAwYMwO3bt7XWv3HjBgYOHAh/f3+cPXsWs2fPxpQpU7Bz5061enXr1kVSUpLaYmFhUR27RERERFRrmBq6AzXB8uXLMX78eEyYMAEAEB4ejt9//x1r1qzBwoULNeqvXbsWjRo1Qnh4OADAy8sLp06dwrJlyzB8+HBVPYlEAjc3t2rZByIiIqLaioG3DHl5eTh9+jQ+/PBDtfK+ffsiJiZG6zqxsbHo27cvAEAulwMAevfujfXr1yM7OxtSqRQFBQV4/PgxGjdujIKCAjz33HOYN28eOnXqVGJfcnNzkZubq3qclpam2oZyO1R+yrHjGFYex1I/OI76wXHUD46jflTXOEql0iptv6Zi4C1DamoqCgoK4Orqqlbu6uqK5ORkreskJyer6itfePXr10d+fj4yMjLg7u6Otm3bYuPGjWjfvj0ePXqEL774Aj179sS5c+fQokULre1+9tlnmD9/vka5lZUVX+CVIJVKMWTIEEN3wyhwLPWD46gfHEf94DjqB8fRsBh4dSSRSNQeCyE0ysqq/3R5ly5d0KVLF9Xz3bp1w/PPP4+VK1fiyy+/1NrmrFmzMH36dLU28/LyYGtrW76dISIiIqpFGHjL4OzsDBMTE42zuSkpKRpnfZXc3Ny01jc1NYWTk5PWderUqYMXXngBV69eLbEv5ubmMDc3L+ceEBEREdVuvEpDGczMzODt7Q2ZTKZWLpPJ0LVrV63r+Pn5adTft28ffHx8Spx6IIRAfHw83N3d9dNxIiIiIgLAwKuT6dOn49tvv8V3332HK1euYNq0abh9+zYmTpwIQDHVYOzYsar6EydOxK1btzB9+nRcuXIF3333HdavX4/3339fVWf+/Pn4/fff8ffffyM+Ph7jx49HfHy8qk0iIiIi0g9OadDByJEj8eDBA3zyySdISkpCu3btEBkZicaNGwMAkpKS1K7J6+npicjISEybNg2rVq2Ch4cHvvzyS7VLkj18+BD/+9//kJycDDs7O3Tq1Al//PEHOnfuXO37R0RERGTMJEL5aSoiIiIiIiPEKQ1EREREZNQYeImIiIjIqDHwEhEREZFRY+AlIiIiIqPGwEtERERERo2Bl4iIiIiMGgMvERERERk1Bl4iIiIiMmoMvERERERk1Bh4iYiIiMioMfASERERkVFj4CUiIiIio8bAS0RERERGjYGXiIiIiIwaAy8RERERGTUGXjJqGzduhEQiwalTpyq0fkREBNq2bQtLS0tIJBLEx8er2rx586Z+O/sMK77Phh4DbT+X6hYaGgqJRKJWVtXjYuhxf5bFxMQgNDQUDx8+rBHtGsrBgwfxxhtvoHXr1rC2tkb9+vUxZMgQnD59Wuc2Hj9+jKlTp8LDwwMWFhbo2LEjtm/fXoW9Jqo8Bl6iEty/fx/BwcFo1qwZoqKiEBsbi5YtWxq6W8+EF198EbGxsXB3d6/2bT/LPxdDjkttFxMTg/nz51dJ4K2Kdg1lzZo1uHnzJt59911ERkbiiy++QEpKCrp06YKDBw/q1MawYcOwadMmzJs3D7/99hteeOEFjB49Glu3bq3i3hNVnKmhO0D0rPrrr78gl8vx6quvIiAgwNDdeabUq1cP9erVM8i2q+Lnkp2dDSsrq0q3Y8hxIdLFqlWr4OLiolbWv39/NG/eHGFhYejVq1ep60dGRkImk2Hr1q0YPXo0ACAwMBC3bt3CjBkzMHLkSJiYmFRZ/4kqimd4qVZR/hv60qVLGD16NOzs7ODq6oo33ngDGRkZqnrjxo1D9+7dAQAjR46ERCJBz549tbY5btw4NGnSpMRtFXf16lWMGTMGLi4uMDc3h5eXF1atWlWhfir9+eefGD16NFxdXWFubo5GjRph7NixyM3NLdd2daXtX+vl6XNF+1LWz+Xo0aPo3bs3bG1tYWVlha5du+LXX39Va0PZzzNnzuDll1+Gg4MDmjVrVup2f/31V3Ts2BHm5ubw9PTEsmXLdBqX+/fv43//+x8aNmwIc3Nz1KtXD926dcP+/fs1+nP27FkMGzYMdevWhZ2dHV599VXcv3+/1H5du3YNr7/+Olq0aAErKyvUr18fL730Ei5cuKBRV5fXCFC+1+f58+fxyiuvwM7ODo6Ojpg+fTry8/ORkJCA/v37w9bWFk2aNMGSJUs0+qPP4yA0NBQzZswAAHh6ekIikUAikeDw4cOVGruKtJuUlAQbGxuMGjVKrXzv3r2QSqWYM2dOietWh+JhFwBsbGzQpk0b/PPPP2Wuv3v3btjY2OCVV15RK3/99deRmJiI48eP662vRPrEM7xUKw0fPhwjR47E+PHjceHCBcyaNQsA8N133wEA5s6di86dO+Ptt99GWFgYAgMDUbdu3Upv9/Lly+jatSsaNWqEzz//HG5ubvj9998xZcoUpKamYt68eeXqJwCcO3cO3bt3h7OzMz755BO0aNECSUlJ+OWXX5CXlwdzc/Nyb7cyyupzZfpS2s8lOjoaQUFB6NChA9avXw9zc3OsXr0aL730ErZt24aRI0eqtTVs2DCMGjUKEydORFZWVonbPHDgAIYMGQI/Pz9s374dBQUFWLJkCe7du1fmWAQHB+PMmTP47LPP0LJlSzx8+BBnzpzBgwcPNOoOHToUI0aMwMSJE3Hp0iXMnTsXly9fxvHjxyGVSrW2n5iYCCcnJyxatAj16tVDWloaNm3aBF9fX5w9exatWrUCoNtrBCj/z2bEiBF49dVX8eabb0Imk2HJkiWQy+XYv38/Jk2ahPfffx9bt27FBx98gObNm2PYsGEV2k5Zr6kJEyYgLS0NK1euxK5du1RTStq0aVPiz0aXsatIu+7u7pg5c6YqLHt7e+Pw4cN45ZVX8NZbb+Gzzz4rcd2yCCFQUFCgU11TU93/vGdkZODMmTNlnt0FgIsXL8LLy0uj/Q4dOqie79q1q87bJqo2gsiIbdiwQQAQJ0+eFEIIMW/ePAFALFmyRK3epEmThIWFhSgsLFSVHTp0SAAQO3bs0NrmjRs3hBBCvPbaa6Jx48Ya21Zu62n9+vUTDRo0EBkZGWrlkydPFhYWFiItLa3c/ezVq5ewt7cXKSkpJY6DrtstSfF9Lv64PH2ubF9K+rl06dJFuLi4iMzMTFVZfn6+aNeunWjQoIFq+8p+fvzxx6VuR8nX11d4eHiIJ0+eqMoePXokHB0dNX6+xcfFxsZGTJ06tdT2lf2ZNm2aWvmWLVsEALF58+YS2y8uPz9f5OXliRYtWqi1p8trRIjyvz4///xztXodO3YUAMSuXbtUZXK5XNSrV08MGzaswtvR5ThYunRpqWNTlpLGriLtZmVlCQ8PD9G7d29x4sQJYWtrK15//XW1/laE8rWvy1Ke/v73v/8Vpqam4tSpU2XWbdGihejXr59GeWJiogAgwsLCyrNLRNWGUxqoVho8eLDa4w4dOiAnJwcpKSlVts2cnBwcOHAAQ4cOhZWVFfLz81XLwIEDkZOTg7i4uHL1Mzs7G9HR0RgxYkSJc0crst3KKK3PVdWXrKwsHD9+HC+//DJsbGxU5SYmJggODsadO3eQkJCgts7w4cN1avfkyZMYNmwYLCwsVOW2trZ46aWXyly/c+fO2LhxIxYsWIC4uDjI5fIS6/73v/9VezxixAiYmpri0KFDJa6Tn5+PsLAwtGnTBmZmZjA1NYWZmRmuXr2KK1euANDtNQJU7HUyaNAgtcdeXl6QSCQYMGCAqszU1BTNmzfHrVu3KrydqjhedRm7irKyssKCBQtw4MABBAYGYsCAAVi3bp3WKU7l4e3tjZMnT+q0eHh46NTm3LlzsWXLFqxYsQLe3t46rVPaflR2H4mqCqc0UK3k5OSk9lj5L90nT55U2TYfPHiA/Px8rFy5EitXrtRaJzU1Ve1xWf1MT09HQUEBGjRooNftVkZpfVYGG333JT09HUIIrVdHUP7hLz6NQJcrKaSnp6OwsBBubm4az2krKy4iIgILFizAt99+i7lz58LGxgZDhw7FkiVLNNYv/tjU1BROTk5apz8oTZ8+HatWrcIHH3yAgIAAODg4oE6dOpgwYUK5XiNAxV4njo6Oao/NzMxgZWWl9uZAWf7o0aMKb6cqjlddxq4ylFcOkUgk2Lhxo8YHuaRSKdLS0mBra4sZM2Zg48aNqjnbgwYNwtixYzFixAi1dWxsbNCxY0edtq/LlIb58+djwYIF+OyzzzB58mSd2i3pNZmWlgZA8zVB9Kxg4CWqJAsLC40P/gCaf7QdHBxUZxzffvttrW15enqWa9uOjo4wMTHBnTt3SqxTFdutqKrqizKsJCUlaTyXmJgIAHB2dlYr1+VMlIODAyQSCZKTkzWe01ZWnLOzM8LDwxEeHo7bt2/jl19+wYcffoiUlBRERUVptFe/fn3V4/z8fDx48EAj7D1t8+bNGDt2LMLCwtTKU1NTYW9vD0C31whQfa+TZ+X1qMvYVVR8fDwGDRqEbt264dixY/juu+809rVu3brIzMyEqakpfvrpJ9U87X/++Qfnzp3D0KFDNdqNjo5GYGCgTn24ceOG1g/TKs2fPx+hoaEIDQ3F7Nmzdd639u3bY9u2bcjPz1cL1coP+7Vr107ntoiqEwMvUSU1adIEKSkpuHfvHlxdXQEAeXl5+P3339XqWVlZITAwEGfPnkWHDh1gZmZW6W1bWloiICAAO3bswGeffaYR6qpquxVVVX2xtraGr68vdu3ahWXLlsHS0hIAUFhYiM2bN6NBgwYVulavtbU1OnfujF27dmHp0qWqM5eZmZnYs2dPudpq1KgRJk+ejAMHDuDYsWMaz2/ZskXtX8o//vgj8vPzS7w6CKAI7cqznUq//vor7t69i+bNmwPQ7TUCVN/rpKq2U96zvrqMXUXaTUhIQL9+/eDn54eff/4Zr7zyCkJDQ/Hqq6/Czs5OVc/e3h6PHz/Gb7/9hiFDhuDXX39FdnY21q1bh/Hjx2v9oKJySoMuSpvS8OmnnyI0NBQfffRRuT+wOnToUKxbtw47d+5U+yDopk2b4OHhAV9f33K1R1RdGHiJKmnkyJH4+OOPMWrUKMyYMQM5OTn48ssvtX6a+osvvkD37t3h7++Pt956C02aNEFmZiauXbuGPXv26Hzh96ctX74c3bt3h6+vLz788EM0b94c9+7dwy+//IKvv/4atra2VbLdiqqqvixcuBBBQUEIDAzE+++/DzMzM6xevRoXL17Etm3bKjy38NNPP0X//v0RFBSE9957DwUFBVi8eDGsra1V/8bVJiMjA4GBgRgzZgxat24NW1tbnDx5ElFRUaqrFTxt165dMDU1RVBQkOoqDc8995zGv7WfNmjQIGzcuBGtW7dGhw4dcPr0aSxdulRj+oIurxGg6n42xVXFdtq3b69q+7XXXoNUKkWrVq1U+1acrmNXnnZv3ryJPn36oFWrVti5cyekUikWLVqEdu3aISwsDIsXL1bVVQbeNWvW4Mcff8SRI0fw4MEDfP/994iJidHaZ1tbW/j4+JR7bJ72+eef4+OPP0b//v3x4osvasyX7tKli+r76Oho9O7dGx9//DE+/vhjAMCAAQMQFBSEt956C48ePULz5s2xbds2REVFYfPmzbwGLz2zGHiJKsnT0xM///wzZs+ejZdffhnu7u6YPn067t+/j/nz56vVbdOmDc6cOYNPP/0UH330EVJSUmBvb48WLVpg4MCBFdr+c889hxMnTmDevHmYNWsWMjMz4ebmhl69eqnOnlXFdiuqqvoSEBCAgwcPYt68eRg3bhwKCwvx3HPP4ZdfftH4cFV5BAUF4aeffsJHH32EkSNHws3NDZMmTcKTJ080fr5Ps7CwgK+vL3744QfcvHkTcrkcjRo1wgcffICZM2dq1N+1axdCQ0OxZs0aSCQSvPTSSwgPDy/1DOgXX3wBqVSKhQsX4vHjx3j++eexa9cufPTRR2r1dHmNANX3OqmK7fTs2ROzZs3Cpk2bsG7dOhQWFuLQoUMlniHXdex0bTcpKQl9+vSBi4sL9u7dq/ovQ+vWrfHGG2/giy++UIV7QBF4f//9d7i5uaFp06aoW7cufvjhB3Tu3FnnD5xVhPI/E1FRURrTagDFpc+e/r6goACFhYVqdXbt2oU5c+bg448/RlpaGlq3bo1t27ZpXHuY6FkiEU+/uomIqFqFhoZi/vz5uH//fonTDcj4DB8+HMeOHcOGDRswYMAA1eOIiAje2ZGoCvCyZERERNXMwcEBNjY26N+/PwDFh9icnJwYdomqCKc0EBERVbNvv/1W7fGGDRsM1BOi2oFTGoiIiIjIqHFKAxEREREZNQZeIiIiIjJqDLxEREREZNQYeGswIQQePXoETsMmIiIiKhkDbw2WlpYGOzu7Uu/2RGWTy+X4+eefIZfLDd2VGo9jqR8cR/3gOOoHx1E/OI6GxcBLREREREaNgZeIiIiIjBoDLxEREREZNQZeIiIiIjJqDLxEREREZNQYeImIiIjIqDHwEhEREZFRY+AlIiIiIqPGwEtERERERq1WB9709HQEBwfDzs4OdnZ2CA4OxsOHD0tdRwiB0NBQeHh4wNLSEj179sSlS5fU6nzzzTfo2bMn6tatC4lEotHmzZs3MX78eHh6esLS0hLNmjXDvHnzkJeXp+c9JCIiIqJaHXjHjBmD+Ph4REVFISoqCvHx8QgODi51nSVLlmD58uX46quvcPLkSbi5uSEoKAiZmZmqOtnZ2ejfvz9mz56ttY0///wThYWF+Prrr3Hp0iWsWLECa9euLbE+EREREVWcqaE7YChXrlxBVFQU4uLi4OvrCwBYt24d/Pz8kJCQgFatWmmsI4RAeHg45syZg2HDhgEANm3aBFdXV2zduhVvvvkmAGDq1KkAgMOHD2vddv/+/dG/f3/V46ZNmyIhIQFr1qzBsmXL9LiXRERERFRrz/DGxsbCzs5OFXYBoEuXLrCzs0NMTIzWdW7cuIHk5GT07dtXVWZubo6AgIAS19FVRkYGHB0dK9UGEREREWmqtWd4k5OT4eLiolHu4uKC5OTkEtcBAFdXV7VyV1dX3Lp1q8RtyeVyyOXyEp+/fv06Vq5ciSVLlpRaLzc3F7m5uarHaWlpOrVPpVOOHcew8jiW+sFx1A+Oo35wHPWjusZRKpVWafs1ldEF3tDQUMyfP7/UOidPngQASCQSjeeEEFrLn1b8+bLW2bdvH2xsbLQ+l5aWhjlz5qBz585wc3NDZGRkie1s27YNERERGuWHDh2ClZVVqX2msslkMkN3wWhwLPWD46gfHEf94DjqR1WP45AhQ6q0/ZrK6ALv5MmTMWrUqFLrNGnSBOfPn8e9e/c0nrt//77GGVwlNzc3AIozve7u7qrylJSUEtcBgL59+8Le3l6jPDExEUFBQejVqxfWr1+POnVKn2HSu3dvrFq1SvU4LS0NLVu2RGBgIJycnEpdl0oml8shk8kQFBTEd8aVxLHUD46jfnAc9YPjqB8cR8MyusDr7OwMZ2fnMuv5+fkhIyMDJ06cQOfOnQEAx48fR0ZGBrp27ap1HU9PT7i5uUEmk6FTp04AgLy8PERHR2Px4sUlbksqlWq8uO/evYugoCB4e3tj06ZNMDExKbPPUqlU65libe1T+XEc9YdjqR8cR/3gOOoHx1E/OI6GUWs/tObl5YX+/fsjJCQEcXFxiIuLQ0hICAYNGqR2hYbWrVtj9+7dABRTGaZOnYqwsDDs3r0bFy9exLhx42BlZYUxY8ao1klOTkZ8fDyuXbsGALhw4QLi4+NVc24TExPRs2dPNGzYEMuWLcP9+/eRnJxc4txhIiIiIqo4ozvDWx5btmzBlClTVFddGDx4ML766iu1OgkJCcjIyFA9njlzJp48eYJJkyYhPT0dvr6+2LdvH2xtbVV11q5dqzaPuEePHgCADRs2YNy4cdi3bx+uXbuGa9euoUGDBmrbE0LofT+JiIiIarNaHXgdHR2xefPmUusUD6ASiQShoaEIDQ0tcZ2ynh83bhzGjRtXjp4SERERUUXV2ikNRERERFQ7MPASERERkVFj4CUiIiIio8bAS0RERERGjYGXiIiIiIwaAy8RERERGTUGXiIiIiIyagy8RERERGTUGHiJiIiIyKgx8BIRERGRUWPgJSIiIiKjxsBLREREREaNgZeIiIiIjBoDLxEREREZNQZeIiIiIjJqDLxEREREZNQYeImIiIjIqDHwEhEREZFRY+AlIiIiIqNWqwNveno6goODYWdnBzs7OwQHB+Phw4elriOEQGhoKDw8PGBpaYmePXvi0qVLanW++eYb9OzZE3Xr1oVEItHaZkW2TURERETlV6sD75gxYxAfH4+oqChERUUhPj4ewcHBpa6zZMkSLF++HF999RVOnjwJNzc3BAUFITMzU1UnOzsb/fv3x+zZs/W6bSIiIiIqP1NDd8BQrly5gqioKMTFxcHX1xcAsG7dOvj5+SEhIQGtWrXSWEcIgfDwcMyZMwfDhg0DAGzatAmurq7YunUr3nzzTQDA1KlTAQCHDx/W27aJiIiIqGJq7Rne2NhY2NnZqQInAHTp0gV2dnaIiYnRus6NGzeQnJyMvn37qsrMzc0REBBQ4jr62jYRERERVUytPcObnJwMFxcXjXIXFxckJyeXuA4AuLq6qpW7urri1q1bJW5LLpdDLperHt+9exf16tVTKwOAevXq4e7duxrlSrm5ucjNzVU9TktL09o+lY9y7DiGlcex1A+Oo35wHPWD46gf1TWOUqm0StuvqYwu8IaGhmL+/Pml1jl58iQAQCKRaDwnhNBa/rTiz5e1zr59+2BjY6N6nJCQgOzsbERGRqrVy8rKwl9//aVRrrRt2zZERERolB86dAhWVlal9pnKJpPJDN0Fo8Gx1A+Oo35wHPWD46gfVT2OQ4YMqdL2ayqjC7yTJ0/GqFGjSq3TpEkTnD9/Hvfu3dN47v79+xpncJXc3NwAKM70uru7q8pTUlJKXAcA+vbtC3t7e7X6e/fuxcCBA9XqZWdno0ePHhrlSr1798aqVatUj9PS0tCyZUsEBgbCycmpxO1T6eRyOWQyGYKCgvjOuJI4lvrBcdQPjqN+cBz1g+NoWEYXeJ2dneHs7FxmPT8/P2RkZODEiRPo3LkzAOD48ePIyMhA165dta7j6ekJNzc3yGQydOrUCQCQl5eH6OhoLF68uMRtSaVStRd39+7dkZGRgbNnz2ps29/fv8QDQSqVqp0pLql9qhiOo/5wLPWD46gfHEf94DjqB8fRMGrth9a8vLzQv39/hISEIC4uDnFxcQgJCcGgQYPUrpLQunVr7N69G4BiKsPUqVMRFhaG3bt34+LFixg3bhysrKwwZswY1TrJycmIj4/HtWvXAAAXLlxAfHy8as6trtsmIiIiosqrtYEXALZs2YL27dujb9++6Nu3Lzp06IAffvhBrU5CQgIyMjJUj2fOnImpU6di0qRJ8PHxwd27d7Fv3z7Y2tqq6qxduxadOnVCSEgIAKBHjx7o1KkTfvnll3Jtm4iIiIgqz+imNJSHo6MjNm/eXGodIYTaY4lEgtDQUISGhpa4TlnP67ptIiIiIqq8Wn2Gl4iIiIiMHwMvERERERk1Bl4iIiIiMmoMvERERERk1Bh4iYiIiMioMfASERERkVFj4CUiIiIio8bAS0RERERGjYGXiIiIiIwaAy8RERERGTUGXiIiIiIyagy8RERERGTUGHiJiIiIyKgx8BIRERGRUWPgJSIiIiKjxsBLREREREaNgZeIiIiIjBoDLxEREREZNQZeIiIiIjJqtTrwpqenIzg4GHZ2drCzs0NwcDAePnxY6jpCCISGhsLDwwOWlpbo2bMnLl26pFYnNzcX77zzDpydnWFtbY3Bgwfjzp07anX++usvDBkyBM7Ozqhbty66deuGQ4cO6XsXiYiIiGq9Wh14x4wZg/j4eERFRSEqKgrx8fEIDg4udZ0lS5Zg+fLl+Oqrr3Dy5Em4ubkhKCgImZmZqjpTp07F7t27sX37dhw9ehSPHz/GoEGDUFBQoKrz4osvIj8/HwcPHsTp06fRsWNHDBo0CMnJyVW2v0RERES1Ua0NvFeuXEFUVBS+/fZb+Pn5wc/PD+vWrcPevXuRkJCgdR0hBMLDwzFnzhwMGzYM7dq1w6ZNm5CdnY2tW7cCADIyMrB+/Xp8/vnn6NOnDzp16oTNmzfjwoUL2L9/PwAgNTUV165dw4cffogOHTqgRYsWWLRoEbKzszXOFhMRERFR5dTawBsbGws7Ozv4+vqqyrp06QI7OzvExMRoXefGjRtITk5G3759VWXm5uYICAhQrXP69GnI5XK1Oh4eHmjXrp2qjpOTE7y8vPD9998jKysL+fn5+Prrr+Hq6gpvb++q2F0iIiKiWsvU0B0wlOTkZLi4uGiUu7i4lDitQFnu6uqqVu7q6opbt26p6piZmcHBwQEAIJfLVe0mJiaqHkdGRmL48OGwtbVFnTp14Orqij179sDa2lpVp7jc3Fzk5uaqHqelpam2UdI6VDbl2HEMK49jqR8cR/3gOOoHx1E/qmscpVJplbZfUxld4A0NDcX8+fNLrXPy5EkAgEQi0XhOCKG1/GnFny9tncjISADA/fv3YWJigsjISAghsHDhQgBAWFgYzMzMIJPJMGDAACxduhSOjo5a29q2bRsiIiI0yg8dOgQrK6tS+0xlk8lkhu6C0eBY6gfHUT84jvrBcdSPqh7HIUOGVGn7NZXRBd7Jkydj1KhRpdZp0qQJzp8/j3v37mk8d//+fY0zuEpubm4AFGdx3d3dVeUpKSmqddzc3JCXl4f09HQ4ODhg4MCBAIC5c+fCx8cHAwcOxMGDB3Hq1CmkpKSgbt26AIB33nkHbdq0QWJiIl599VWt2+/duzdWrVqlepyWloaWLVsiMDAQTk5Ope4zlUwul0MmkyEoKIjvjCuJY6kfHEf94DjqB8dRPziOhmV0gdfZ2RnOzs5l1vPz80NGRgZOnDiBzp07AwCOHz+OjIwMdO3aVes6np6ecHNzg0wmQ6dOnQAAeXl5iI6OxuLFiwEA3t7ekEqlkMlkGDFiBKRSKZKSknDp0iUsXboUUqkUeXl5ABTzf59+0depUwcSiaTEA0EqlcLGxkZrOQ+eyuM46g/HUj84jvrBcdQPjqN+cBwNo9Z+aM3Lywv9+/dHSEgI4uLiEBcXh5CQEAwaNAitWrVS1WvdujV2794NQDGVYerUqQgLC8Pu3btx8eJFjBs3DlZWVhgzZgwAwM7ODuPHj8d7772HAwcO4OzZs3j11VfRvn179OnTB4AibDs4OOC1117DuXPn8Ndff2HGjBm4ceMGXnzxxeofDCIiIiIjZnRneMtjy5YtmDJliuqKCoMHD8ZXX32lVichIQEZGRmqxzNnzsSTJ08wadIkpKenw9fXF/v27YOtra2qzooVK2BqaooRI0bgyZMn6N27NzZu3AgTExMAirPQUVFRmDNnDnr16gW5XI62bdvi559/xnPPPVcNe05ERERUe9TqwOvo6IjNmzeXWkcIofZYIpEgNDQUoaGhJa5jYWGBlStXYuXKlSXW8fHxwe+//16u/hIRERFR+dXaKQ1EREREVDsw8BIRERGRUWPgJSIiIiKjxsBLREREREaNgZeIiIiIjBoDLxEREREZNQZeIiIiIjJqDLxEREREZNQYeImIiIjIqDHwEhEREZFRY+AlIiIiIqPGwEtERERERo2Bl4iIiKga3L9vgSdPDN2L2snU0B0gIiIiMjZCANevA3/8AURHA3/8YYqbN/vBxSUfgwcbune1DwMvERERUSUVFgJXrigCrjLkJiU9XUOCOnUKcf26xFBdrNUYeImIiIjKqaAAOHeuKNweOQI8eKBex8wM6NwZCAgAunbNx6NHv2P48L4ATAzS59qMgZeIiIioDHI5cPq0cnoCcPQo8OiReh1LS6BrV6BHD8Xi66soU6wvEBmZX/0dJwAMvEREREQanjwBTpwoCrixsUB2tnodW1uge3dFuA0IALy9FWd16dnDwEtERES1XmamItQqA+6JE0BennodJyfA318Rbnv0AJ57DjDh7IQaoVZfliw9PR3BwcGws7ODnZ0dgoOD8fDhw1LXEUIgNDQUHh4esLS0RM+ePXHp0iW1Orm5uXjnnXfg7OwMa2trDB48GHfu3NFo69dff4Wvry8sLS3h7OyMYcOG6XP3iIiIqATp6cCePcCMGYp5tg4OQL9+QFiYYrpCXh7g7g6MGgWsXg1cvAikpAC7dwNTpwLPP8+wW5PU6jO8Y8aMwZ07dxAVFQUA+N///ofg4GDs2bOnxHWWLFmC5cuXY+PGjWjZsiUWLFiAoKAgJCQkwNbWFgAwdepU7NmzB9u3b4eTkxPee+89DBo0CKdPn4bJv0fHzp07ERISgrCwMPTq1QtCCFy4cKHqd5qIiKgWSkkpuoLCH38A588rLh32tCZNiqYn9OgBNGsGSHhRBaNQawPvlStXEBUVhbi4OPj6+gIA1q1bBz8/PyQkJKBVq1Ya6wghEB4ejjlz5qjOxm7atAmurq7YunUr3nzzTWRkZGD9+vX44Ycf0KdPHwDA5s2b0bBhQ+zfvx/9+vVDfn4+3n33XSxduhTjx49Xta9tm0RERFR+//yjHnD//FOzTqtWRR8w8/cHGjeu/n5S9ai1gTc2NhZ2dnaqsAsAXbp0gZ2dHWJiYrSGzxs3biA5ORl9+/ZVlZmbmyMgIAAxMTF48803cfr0acjlcrU6Hh4eaNeuHWJiYtCvXz+cOXMGd+/eRZ06ddCpUyckJyejY8eOWLZsGdq2bVu1O05ERGRkhAD+/rto/u0ffwA3bmjW69ChKNz26AG4uVV/X8kwam3gTU5OhouLi0a5i4sLkpOTS1wHAFxdXdXKXV1dcevWLVUdMzMzODg4AADkcrmq3cTERMjlcvz1118AgNDQUCxZsgRNmjTBihUrEBAQgEuXLsHR0VHr9nNzc5Gbm6t6nJaWptqGcjtUfsqx4xhWHsdSPziO+sFx1I9ncRyFUNzk4ejROvjjDwmOHpUgMVF97kGdOgKdOgn4+yuWbt0Eiv95rc5dqq5xlEqlVdp+TWV0gTc0NBTz588vtc7JkycBABItE3OEEFrLn1b8+dLWiYyMBADcv38fJiYmiIyMxJkzZwAAL774IiwsLJCcnIyXX34Zv/32G+bPn49+/fppbWvbtm2IiIjQKD906BCsrKxK7TOVTSaTGboLRoNjqR8cR/3gOOqHIcexoAC4dcsOly454dIlJ1y+7IRHj8zV6piaFqJ583S0bfsA7dqlonXrdFhaFl33Ni6uunutXVWP45AhQ6q0/ZrK6ALv5MmTMWrUqFLrNGnSBOfPn8e9e/c0nrt//77GGVwlt3//95GcnAx3d3dVeUpKimodNzc35OXlIT09HQ4ODhg4cCAAYO7cufDx8cHAgQNhZWWFFStWYMSIEejWrZuqnSVLlqBu3bqqdYrr3bs3Vq1apXqclpaGli1bIjAwEE5OTqXuM5VMLpdDJpMhKCiI74wriWOpHxxH/eA46ochxlEuB86ckeDIEcXZ22PHJMjIUD+xZGkp0KWLQPfuijO4vr4ClpZ1AdQF4Fkt/SwPvh4Ny+gCr7OzM5ydncus5+fnh4yMDJw4cQKdO3cGABw/fhwZGRno2rWr1nU8PT3h5uYGmUyGTp06AQDy8vIQHR2NxYsXAwC8vb0hlUohk8kwYsQISKVSJCUl4dKlS1i6dCmkUil8fX1hbm6O69evo2fPngAUB8KtW7fQtGnTEg8EqVQKGxsbreU8eCqP46g/HEv94DjqB8dRP6pyHHNygOPHi+bfxsTocpMHCczMat4lFPh6NAyjC7y68vLyQv/+/RESEoKvv/4agOKyZIMGDVL7wFrr1q2xcOFCDB06FBKJBFOnTkVYWBhatGiBFi1aICwsDFZWVhgzZgwAwM7ODuPHj8d7770HJycnODo64v3330f79u1VV22oW7cuJk6ciHnz5qFhw4Zo3Lgxli5dCgB45ZVXqnkkiIiIqtfjx4qbPPzxh+KDZsePl3yTB+VVFDp25HVvqeJqbeAFgC1btmDKlCmqKyoMHjwYX331lVqdhIQEZGRkqB7PnDkTT548waRJk5Ceng5fX1/s27dPdQ1eAFixYgVMTU0xYsQIPHnyBL1798bGjRtV1+AFgKVLl8LU1BTBwcF48uQJfH19cfDgQdWH3YiIiIxFejpw7FjRGdzTp4H8fPU6bm5F178NCAC8vIA6tfr2WKRPtTrwOjo6YvPmzaXWEcWuSi2RSBAaGorQ0NAS17GwsMDKlSuxcuXKEutIpVIsW7YMy5YtK1efiYiInnUpKcCRI0VncLXd5KFx46Lb9AYEAM2b8yYPVHVqdeAlIiKiyrtzpyjclnSThxYtisItb/JA1Y2Bl4iIiHSmvMmDcnpCdLT2mzy0b180PcHfnzd5IMNi4CUiIqISCQH8848N1q2rg6NHFSH37l31OnXqAM8/XxRwu3eHxk0eiAyJgZeIiIhUCgqACxeKzt4eOWKK+/d7q9WRSoEXXig6e9utG1C3roE6TKQDBl4iIqJaTHGTh6L5t0ePAk9dnAiABGZmBejaVYKAgDoICAB8fQHe4JNqEgZeIiKiWiQnBzhxQv0mD1lZ6nVsbRVnbQMCgK5d85GSEokhQwZAKuV1wqhmYuAlIiIyYllZilCrDLjHjwO5uep1HByKbvAQEAA89xxg+m9CkMsFIiOFZsNENQgDLxERkRF5+BCqD5eVdJMHV9eimzz06AG0bcubPJBxY+AlIiKqwe7fLwq3f/wBnDun/SYPynDr7w+0bMmbPFDtwsBLRERUg9y9q34N3CtXNOu0bFkUbgMCeJMHIgZeIiKiZ5QQips6PH0G9/p1zXrt2hXNv+3Rgzd5ICqOgZeIiOgZIYTitrxPB9w7d9Tr1KkDdOxYFG79/QEnJ4N0l6jGYOAlIiIykKdv8qBc7t9XryOVAj4+RQGXN3kgKj8GXiIiomqivMmDMtwePaq4qsLTLCwAP7+igMubPBBVHgMvERFRFcnJAU6eLPqAmbabPNjYFN3koUcPxdlcc3PD9JfIWDHwEhER6UlWFhAbWxRwS7rJg79/0WXCOnUquskDEVUNHmJEREQV9PAhcOxYUcAt6SYPT9/FjDd5IKp+DLxEREQ6Sk1V/4BZfLzmTR4aNlQEW+UUhRYteJMHIkNj4CUiIipBYqL6TR4uX9as07x5UbjlTR6Ink21+p8q6enpCA4Ohp2dHezs7BAcHIyHxT8uW4wQAqGhofDw8IClpSV69uyJS5cuqdXJzc3FO++8A2dnZ1hbW2Pw4MG4U/xCik/V7dixIyQSCeLj4/W0Z0REVF7Kmzxs2gS88YYiyNavD4weDaxZUxR227YFJk0Ctm9X3PXs6lXg22+BsWMZdomeVbX6DO+YMWNw584dREVFAQD+97//ITg4GHv27ClxnSVLlmD58uXYuHEjWrZsiQULFiAoKAgJCQmwtbUFAEydOhV79uzB9u3b4eTkhPfeew+DBg3C6dOnYWJiotbezJkz4eHhgXPnzlXdjhIRkQYhgISEorO3utzkoXt3wNnZIN0lokqotYH3ypUriIqKQlxcHHx9fQEA69atg5+fHxISEtCqVSuNdYQQCA8Px5w5czBs2DAAwKZNm+Dq6oqtW7fizTffREZGBtavX48ffvgBffr0AQBs3rwZDRs2xP79+9GvXz9Ve7/99hv27duHnTt34rfffquGvSYiqr0KC4GLF4vC7R9/ACkp6nVMTYEXXlAEXH9/xeXC7OwM018i0p9aG3hjY2NhZ2enCrsA0KVLF9jZ2SEmJkZr4L1x4waSk5PRt29fVZm5uTkCAgIQExODN998E6dPn4ZcLler4+HhgXbt2iEmJkYVeO/du4eQkBD89NNPsOIVxYmI9C4/H7h61R7Ll9fBsWPAkSPab/LQpYsi3AYEKL63tjZId4moCtXawJucnAwXFxeNchcXFyQnJ5e4DgC4urqqlbu6uuLWrVuqOmZmZnBwcAAAyOVyVbuJiYmQy+UQQuC1115DSEgInnvuOdy8eVNVV1lfm9zcXOQ+dUHHtLQ0ndaj0inHjmNYeRxL/eA4VkxuLnDypARHjkhw9KgEMTGmyMoKUKtjYyPg5yfg769YfHyExk0eOOzq+HrUj+oaR6lUWqXt11RGF3hDQ0Mxf/78UuucPHkSACDRcp0YIYTW8qcVf760dSIjIwEA9+/fh4mJCSIjI7F3717cunUL//vf/xAZGYl79+4BAI4ePYrExMQSt7tt2zZERERolB86dIhnifVAJpMZugtGg2OpHxzH0uXkmCAhwRGXLjnh0iUn/PWXA+Ry9c9J2NjkoU2bB2jT5gHatn2Apk0zYGKiuI5YRgZw4IAhel4z8fWoH1U9jkOGDKnS9msqowu8kydPxqhRo0qt06RJE5w/f14VNJ92//59jTO4Sm5ubgAUZ3Hd3d1V5SkpKap13NzckJeXh/T0dDg4OGDgwIEAgLlz58LHxwcDBw7E+vXr8ddff2HEiBFq7c+YMQOjR4/Gd999p3X7vXv3xqpVq1SP09LS0LJlSwQGBsLJyanUfaaSyeVyyGQyBAUF8Z1xJXEs9YPjqF1GBhATI8EffyjO4J4+LUF+vvrJBldXge7dFWdvu3TJQ2LiPvTrFwSplJ80qyi+HvWD42hYRhd4nZ2d4azDR2j9/PyQkZGBEydOoHPnzgCA48ePIyMjA127dtW6jqenJ9zc3CCTydCpUycAQF5eHqKjo7F48WIAgLe3N6RSKWQyGUaMGAGpVIqkpCRcunQJS5cuhVQqxVdffYWwsDBVu4mJiejXrx8iIiLg6+tb4oEglUphY2OjtZwHT+VxHPWHY6kftX0cU1MV826VV1E4d07xwbOnNWigfpOHli0lqv+4yeWmSE7mOOoLx1E/OI6GYXSBV1deXl7o378/QkJC8PXXXwNQXJZs0KBBah9Ya926NRYuXIihQ4dCIpFg6tSpCAsLQ4sWLdCiRQuEhYXBysoKY8aMAQDY2dlh/PjxeO+99+Dk5ARHR0e8//77aN++veqqDY0aNVLrizLENmvWDA0aNKiO3ScieuY8fZOHP/4Ail3iHIDi2rhP36a3cWPexYyIylZrAy8AbNmyBVOmTFFdUWHw4MH46quv1OokJCQgIyND9XjmzJl48uQJJk2ahPT0dPj6+mLfvn2qa/ACwIoVK2BqaooRI0bgyZMn6N27NzZu3KhxDV4iotpKCODmTfWAe+2aZr22bYuuoNCjB+DhUe1dJSIjUKsDr6OjIzZv3lxqHVHsJukSiQShoaEIDQ0tcR0LCwusXLkSK1eu1KkfTZo00dgOEZExEQL46y/1a+D+8496nTp1gOeeKwq3/v68yQMR6UetDrxERFQ1lDd5ePoMbvHPCZuaAj4+RQGXN3kgoqrCwEtERJWWnw+cPVsUbo8cAdLT1euYmytu7KCcf8ubPBBRdWHgJSKiclPc5KHoCgoxMcDjx+p1rK0VZ22VHzLr3BkaN3kgIqoODLxERFSm7GwgLq5oDm5cHJCTo17H3l4x71Z5BrdTJ8W0BSIiQ+OvIiIi0qC4yUNRwD11SvOWu/XqFYXbHj2A9u0VHzwjInrWMPASERFSU4GjR4sCbny85k0e6tdXv8lDq1a8Bi4R1QwMvEREtVBSUtH8W11u8tCjB9CkCQMuEdVMDLxERLXArVvqAffqVc06bdsWhVt/f8UZXSIiY8DAS0RkZIRQBNqnb/Jw+7Z6HYkE6NhRPeDWq2eQ7hIRVTkGXiKiGq6wUDEl4emAW9JNHpS36e3WTXFVBSKi2oCBl4iohtH1Jg++vkUfMOvSBbCxMUx/iYgMjYGXiOgZl5uruCyY8gzusWNl3+ThhRcACwvD9JeI6FnDwEtE9IzJzgbOn3fGqVN1cOwYEBureZMHO7ui6Qk9eihu8iCVGqa/RETPOgZeIiIDe/RIcdZWOUXh5ElTyOXd1Ooob/KgXNq3B0xMDNRhIqIahoGXiKiaPXigmHerDLhnzxa/yYMETk5PEBRkjoCAOggIAFq35jVwiYgqioGXiKiKJSerXwP34kXNOs2aFU1R6NpVjsuX9+HFFwdCKuW9eomIKouBl4hIz5Q3eVAuf/2lWad166Lb9Pr7Aw0aFD0nlwNXrlRff4mIjB0DLxFRJShv8qAMt9HR2m/y8Nxz6jd5cHExTH+JiGojBl4ionJQ3uTh6TO4ycnqdUxMFDd5UAbc7t15kwciIkOq1ZPD0tPTERwcDDs7O9jZ2SE4OBgPHz4sdR0hBEJDQ+Hh4QFLS0v07NkTly5dUquTm5uLd955B87OzrC2tsbgwYNx584d1fM3b97E+PHj4enpCUtLSzRr1gzz5s1DXl5eVewmEVVCfj5w+jSwYgXwn/8orpbQoQMweTLw44+KsGturgi2H30E7NsHPHwIxMUBS5YAgwYx7BIRGVqtPsM7ZswY3LlzB1FRUQCA//3vfwgODsaePXtKXGfJkiVYvnw5Nm7ciJYtW2LBggUICgpCQkICbG1tAQBTp07Fnj17sH37djg5OeG9997DoEGDcPr0aZiYmODPP/9EYWEhvv76azRv3hwXL15ESEgIsrKysGzZsmrZdyLSLi9PcZMH5dnbo0eBzEz1OtbWQNeuipAbEMCbPBARPetqbeC9cuUKoqKiEBcXB19fXwDAunXr4Ofnh4SEBLRq1UpjHSEEwsPDMWfOHAwbNgwAsGnTJri6umLr1q148803kZGRgfXr1+OHH35Anz59AACbN29Gw4YNsX//fvTr1w/9+/dH//79Ve02bdoUCQkJWLNmDQMvUTXLzgaOHy+afxsXBzx5ol7Hzk4xLUF5k4fnn+dNHoiIapJaG3hjY2NhZ2enCrsA0KVLF9jZ2SEmJkZr4L1x4waSk5PRt29fVZm5uTkCAgIQExODN998E6dPn4ZcLler4+HhgXbt2iEmJgb9+vXT2p+MjAw4OjrqcQ+JSJtHj4CYmKJLhJ08qbgqwtOcnYvO3j5LN3kIDQ3FTz/9hPj4eEN3hYioRqm1gTc5ORkuWj4m7eLiguTin0B5ah0AcHV1VSt3dXXFrVu3VHXMzMzg4OAAAJD/+5fUxcUFiYmJqsdPu379OlauXIklS5ZofV4pNzcXubm5qsdpaWmqbZS2HpVOOXYcw8orbSyFEPj000+xfv16pKeno3Pnzvjiiy/Qtm3bUtvctWsXQkND8ffff6Np06b45JNP8J///Eetztq1a7F8+XIkJSWhTZs2+Pzzz9G9e3cAips8fP75T/jxx3W4e/cMCgoeADgLoKNq/fr1BSws3kRGxgFkZiYCsEFeXhcEBoahdevWKCxUfFht6NChOH/+PFJSUuDg4IBevXohLCwMHh4elRg1TSWNY0FBAYQQfK3qiMe2fnAc9aO6xlHKfz9pZXSBNzQ0FPPnzy+1zsmTJwEAEi23LRJCaC1/WvHnS1snMjISAHD//n2YmJioHiulpaVhzpw56Ny5M9zc3DSef9q2bdsQERGhUX7o0CFYWVmV2mcqm0wmM3QXjIa2sdy1axd27NiBKVOmwMPDAzt27ECvXr2wevVqWFpaam3nzz//xOzZszFmzBhMnjwZcXFxGD16NBYuXIiWLVsCAI4ePYrw8HC8+eabaN26NX75ZT/69XsR3bvvw99/t8etW3YAcgB0BzACQAgcHZ+gY8fbaNs2FW3aPICbWzb27TNFgwbj4ezsjMePH2P79u3o1asXvv76a5j8e3rX1dUVkydPhoODA9LS0rBhwwb069cPixcv1nls5HK5zn+Qio/j1atX8ejRo1J/T5AmHtv6wXHUj6oexyFDhlRp+zWVRAghDN0JfUpNTUVqamqpdZo0aYKtW7di+vTpGldlsLe3x4oVK/D6669rrPf333+jWbNmOHPmDDp16qQqHzJkCOzt7bFp0yYcPHgQvXv3RlpaGhwcHFTv5Ly9vTF48GDMmzdPtV5iYiKCgoLQuXNnrF+/HnXqlH7RDG1neFu2bImkpCQ4OTmVui6VTC6XQyaTISgoiO+MK6mksRRCoHHjxnjnnXcwY8YMAIrXc4MGDRAWFoaQkBCt7Y0ZMwaZmZlqHyQdNGgQ7O3tsXnzZgDACy90g4NDJzRtugZHjkhw9aoEgBeA/wBYCABo1UqgR49CtGx5AzNmtMCJEyfQsWPHUvfl/Pnz8PHxwZUrV9CsWTOtdfbs2YOXX34Zjx8/LvG106JFC7z++uu4fv06fv75ZwwePBjfffcdZs2ahZ9//hl3796Fm5sbRo0ahY8++ghSqVQ1jufOncOqVauQnZ2Nl19+Gc7Ozti3bx9OnTpVat9Jgce2fnAc9aO6xpE/I+2M7gyvs7MznJ2dy6zn5+eHjIwMnDhxAp07dwYAHD9+HBkZGejatavWdTw9PeHm5gaZTKYKvHl5eYiOjlad4fH29oZUKoVMJsOIESMglUqRlJSES5cuYenSpaoX4t27dxEUFARvb29s2rRJdQapNFKpFDY2NlrL+QKvPI6j/hQfy7///hvJyckYMGCAqlwqlSIgIADHjx/HpEmTtLZz/PhxTJs2TbWOEIC3d398/XU4xo+XIjo6D7dvnwEwC4cPK94wSiSAk1NfmJnF4MsvlTd5kAAwwc2bppgxo+yfdVZWFjZv3gxPT080bdpUa920tDRERESga9euZf6HZfny5Zg7dy4+/vhj1b4r3yR7eHjgwoULCAkJgb29PWbOnAlAceb6yy+/xKpVq+Dv748ffvgBX375ZYn9oZLx2NYPjqN+cBwNo9Zeh9fLywv9+/dHSEgI4uLiEBcXh5CQEAwaNEjtA2utW7fG7t27ASimMkydOhVhYWHYvXs3Ll68iHHjxsHKygpjxowBANjZ2WH8+PF47733cODAAZw9exavvvoq2rdvr7pqQ2JiInr27ImGDRti2bJluH//PpKTk0ucO0xU05U2/720131ycjLy8lyxejUwciTg4QEsXOiKtLRk/PADcPt2KoACeHm5YsYMYM8exZzdadNcYWOTjOHDy3dHs9WrV8PGxgY2NjaIioqCTCaDmZmZWp0PPvgA1tbWcHJywu3bt/Hzzz+X2W6vXr3w/vvvo3nz5mjevDkA4KOPPkLXrl3RpEkTvPTSS3jvvffw448/qtbZs2cPxo0bhwkTJqBVq1ZYsGAB2rRpo/vOEBGRitGd4S2PLVu2YMqUKaorKgwePBhfffWVWp2EhARkZGSoHs+cORNPnjzBpEmTkJ6eDl9fX+zbt091DV4AWLFiBUxNTTFixAg8efIEvXv3xsaNG1Vncfft24dr167h2rVraNCggdr2jGyGCdVC0dHR+O9//6t6/Ntvv6le+2XNfy8oAOLji66BK5cDH36ovo6JiUBhoQSzZwPt2gGjRwPr10vg51dyu7r673//i6CgICQlJWHZsmUYMWIEjh07BounLrI7Y8YMjB8/Hrdu3cL8+fMxduxY7N27t9Tt+fj4aJT93//9H8LDw3Ht2jU8fvwY+fn5qFu3rur5O3fuqF1FBlD8Z+rQoUPl3i8iotquVgdeR0dH1TzAkhQPoBKJBKGhoQgNDS1xHQsLC6xcuRIrV67U+vy4ceMwbty48naX6JlWUChw/EYapM0649vdI9CpsRNM6khQv359JCUlAVCcsXV3d1etk5ycAonEFYsWlXSTBzdIpcmqy4P16AEcP56CVatcsWABkJfnDBMTE42zxCkpKRpnk3WhvOtiixYt0KVLFzg4OGD37t0YPXq0qo5y2lTLli3h5eWFhg0bIi4uDn5PJ+5irK2t1R7HxcVh1KhRmD9/Pvr16wc7Ozts374dn3/+ebn7TEREZavVgZeI9CPqYhLm77mMpIwcALaI+OcB3O2yMO+lNmhuaama/x4ZKcPDh53wxx/A4cN5OHw4GsBi/HuzQwBFN3no0QPYt88PUqkMv/02TfX8okX7VPPszczM4O3tDZlMhqFDh6rqyGQyvXxSWQih9kFRbc8DKLWONseOHUPjxo0xZ84cVZny0oZKDRo0wIkTJ/DGG2+oyuLi4sq1HSIiUmDgJaJKibqYhLc2n0HxyTjJGTl4a/MZ/K/d83h8xR3m5lPx0UdhAFr8u4QBsIKj4xj07Kn4cNn+/WPRtm19LF6suLpC9+7vokePHli8eDGGDBmCn3/+Gfv378fRo0dV25k+fTqCg4Ph4+MDPz8/fPPNN7h9+zYmTpyoqpOWlobbt28jMTERgGKqEgC4ubnBzc0Nf//9NyIiItC3b1/Uq1cPd+/exeLFi2FpaYmBAwcCAE6cOIETJ06ge/fucHBwwN9//42PP/4YzZo1K/XsrjbNmzfH7du3sX37drzwwgv49ddfVZ8VUHrppZewcuVKdO7cGd27d8eWLVtw6dIlNG3atFzbIiIiBl4iqoSCQoH5ey5rhF0AEFBcVWFVzGXcXesGiJkAnqBOnUkA0tG0qS+WLduHwYNtoZz++tNPt3HvXtFnabt27Yrt27fjo48+wty5c9GsWTNERESozW0dOXIkHjx4gE8++QRJSUlo164dIiMj0bhxY1WdX375Re1Sg6NGjQIAzJs3D6GhobCwsMCRI0cQHh6O9PR0uLq6okePHoiJiVHdoMbS0hK7du3CvHnzkJWVBXd3d/Tv3x/bt2+Hubl5ucZtyJAhmDZtGiZPnozc3Fy8+OKLmDt3rtpUqe7du6Nu3br44IMPkJOTg+HDh+Ott97C77//Xq5tERGREV6HtzZ58OABnJ2dkZqayuvwVoJcLkdkZCQGDhzIS8WU057jD/DO7rL/zf5cWhcM6eKEgACgaVOgAp8nq1X4mtQPjqN+cBz1g+NoWDzDS0Q6KSwE/vxT8cGyY8cUX5PNc1BvcNnrvjEpB0M6VnkXiYiItGLgJSKtsrKAkyeB2FggJkYRctPT1etYNrbQvnIxLra61SMiIqoKDLxEBCGA69eBuDjFEhsLnDunuC7u0ywtgS5dgG7dFItvF0cMXGOB5IwcrfN4JQDc7CzQ2dOxOnaDiIhIKwZeolooLU1x9vbECeD4cUXIffBAs179+kDXroCfn+JSYR07AupTzySY91IbvLX5DCSAWuhVTtOd91IbmNThpF0iIjIcBl4iI5eVpbh72cmTRSH32jXNemZmwPPPA76+RSG3YcOy2+/fzh1rXn3+qevwKrjZWWDeS23Qv517KWsTERFVPQZeIiOSlaWYinDmDHD6NHDqFHD5suIDZ8U1bw688IJiikKXLsBzzwHlvLqWSv927ghq44bYaynYd+Q4+vr7wq+5C8/sEhHRM4GBl6iGSktThNuzZxXLmTOKqyhoC7ceHoC3N9C5s2Lx8QEc9Tyt1qSOBL6ejnhwRcDX05Fhl4iInhkMvETPuMJCxQfKzp9XLPHxiuX2be313d2BTp0UodbHRxF0PTyqs8dERETPFgZeomfI/fvAxYvAhQuKr+fPK77PztZe39NTMRXB21sx/7ZTJ0XgJSIioiIMvEQGkJYGXLqkmF+r/HrxInDvnvb6FhZA27ZAhw6KKyV07Kj43t6+GjtNRERUQzHwElWRwkLgzh3FvNo//wSuXFEsf/5ZcrCVSBS33m3XTrF06KBYmjcHTHm0EhERVQj/hBJVUloacPWqYvnrLyAhQbFcvVryVAQAaNRIcda2TRvF0q6d4rG1dfX1nYiIqDZg4CUqgxBAcrLig2PXrwN//634evWq4nq2aWklr2tqqjg76+UFtG5d9LV1a8DWtvr2gYiIqDZj4KVaTwjg0SMpzp4F7t4FbtzQXJ48Kb2N+vWBFi2Ali0VS6tWisXTk1MRiIiIDI1/isnoPXmiCLL//KNYbt8u+v7WLeDWLVNkZQ0stY06dRRTEJo1U8yxbdZMcea2RQvF95yGQERE9Oxi4AWwevVqLF26FElJSWjbti3Cw8Ph7+9fYv3o6GhMnz4dly5dgoeHB2bOnImJEyeq1dm5cyfmzp2L69evo1mzZvjss88wdOjQSm2X1OXmAikpQFISkJio/vXuXcVy5w6Qnl5WS4obJLi6CjRuLEGTJoozs02bKr56eirCrplZVe8RERERVYVaH3gjIiIwdepUrF69Gt26dcPXX3+NAQMG4PLly2jUqJFG/Rs3bmDgwIEICQnB5s2bcezYMUyaNAn16tXD8OHDAQCxsbEYOXIkPv30UwwdOhS7d+/GiBEjcPToUfj6+lZou7VBQYEinKamKpb79xWBNiWl6Pt79xTzae/d0yXIFrGyAho2LFoaNSr66uEhx+XLUfjPf/pDKpVW3Q4SERGRQdT6wLt8+XKMHz8eEyZMAACEh4fj999/x5o1a7Bw4UKN+mvXrkWjRo0QHh4OAPDy8sKpU6ewbNkyVeANDw9HUFAQZs2aBQCYNWsWoqOjER4ejm3btlVouzVFbi7w6FHRkpEBPHyoCKcPHxZ9n5ZWtChDbnq6Yj5teZiaAm5uijuJuburf23QQLHUrw/Y2Sku+aWNXA5cu6blfrxERERkFGp14M3Ly8Pp06fx4YcfqpX37dsXMTExWteJjY1F37591cr69euH9evXQy6XQyqVIjY2FtOmTdOoowzJFdmuNspLXmVmAlJpUVgsLFScLS0oKPo+P///27v/mKoKPo7jnwuXiwUXf4DxIxAZDiogKq5rFy3b2NOGxXDloqZ4W1vNRCNYW8tya81h/FEzl2ORZrHVcOvHg27MuE26YWk94ijGWulszy0HMngMAQue4Dx/INdQ6pGn63N2zn2/tjPuPZx7z4evXPl4PJw7VeymP/7739L4+NQyNja1TN/+5Rfp118vfbxwYWoZHb10e2Tk0jI8fOnj+PhVx/9DCxZISUlTyw03TC2LF1+6nZIytSQnSwsXTp1fCwAA8EciuvAODAxoYmJCycnJM9YnJyerr69v1sf09fXNuv1vv/2mgYEBpaamhrYxDEP/unjNquuvv169vb0aHBxUb2+vJiYmNG/ePA0ODoaeJz4+Xj/99NOMdb83Njam8d81ymXLpv5PPyvrF0nn5/z1X1sjcjhGFRU1oqioITkcw4qKGlZU1Hk5HOcVFfWzoqKGLn5u6OLtcxfv/6bR0amC/c9/XvukhmFobGxMsbGxcvzRYWBcFWYZHswxPJhjeDDH8JieY0ZGhg4fPnzN9hMTEyO3282f1WUiuvBOu/ybwjCMP/1GmW37y9c7HA4NDw8rKSlpxra/v7969exXBrj8Mf9dxhy3//8wjEtHmgEAgHTu3Ln/4ef83AwNDSkhIeGa7sNqIrrwJiUlKTo6+oqjuf39/VccxZ2WkpIy6/ZOp1OJiYkztnG73RoYGJAkNTQ06I033lBXV5fGx8eVnp6ut956S/fff3/oebZu3aru7m4dPHhw1n1ffoT3b39bo1OnvlZS0hI5ndGSjIvLpKQJORxzPCE2Qk1OTurs2bNKTk5WFOdH/CXMMjyYY3gwx/BgjuExPce8vDwFAoFrtp/pI7yYKaILr8vlUlFRkfx+/4xLhvn9fpWXl8/6GK/Xe0UhbWtrk8fjCf2Gv9frld/vV01NTagEf/7551q5cmXovsfj0Zdffimfzxd6no6ODpWXl4e2+W/8/r8rKytL//hHQEuXLr3qrxszDQ4OKikpST09PVc9e8yOWYYHcwwP5hgezDE8pucYCASYowkiuvBKUm1trSorK+XxeOT1etXY2KhgMBi6ru5zzz2nM2fOqKmpSZK0ceNGvf7666qtrdXjjz+uo0ePau/evaGrL0hSdXW17r77btXX16u8vFwtLS365JNPdOTIkaveLwAAAMIj4gtvRUWFBgcH9dJLL6m3t1f5+flqbW1VZmamJKm3t1fBYDC0fVZWllpbW1VTU6Pdu3crLS1Nu3btCl2STJKKi4vV3NysF154Qdu2bVN2drb2798fugbv1ewXAAAA4RHxhVeSNm3apE2bNs36ubfffvuKdatWrdKJEyf+9DnXrl2rtWvX/s/7vRqui2/95eItwP6S2NhYVVRUKDY21uwolscsw4M5hgdzDA/mGB7M0VycfW5h0y8aXjx/TWxsrB555BHmGAbMMjyYY3gwx/BgjuHBHM1F4QUAAICtUXgBAABgaxReAAAA2BqFFwAAALZG4bWwvXv3SpLS0tJUVFSkjo4OkxNZy2effaaysjJlZmZqzZo1amlpMTuSJe3YsUPLly+X2+3WjTfeqLq6On333Xdmx7KchoYG3XrrrUpISFBiYqKeffZZHTp0yOxYlvf+++/L5XLp6aefNjuK5bz44otyOBxyuVxas2aNXC6XUlJSzI5lSWfOnJHP51NlZaXmz5+v2267TZ2dnWbHiigUXovav3+/nn/+eUlSe3u77rrrLpWWls64ZjD+3OjoqAoLC7Vz506zo1haIBBQVVWVjh07ptbWVk1OTuq+++7T6Oio2dEsJT09XS+//LKOHz+uo0ePqqCgQA8++KB6enrMjmZZx48fV1tbmwoKCsyOYll5eXkKBoPat2+fgsGguru7zY5kOefOndOKFSsUExOjbdu26euvv9Yrr7yiBQsWmB0tolB4LerVV1/V+vXrJUm5ubnauXOnMjIy1NDQYHIy6ygtLdX27dtnvK005u7QoUN69NFHlZeXp8LCQm3ZskXBYJCjF3NUVlam1atXKycnRzk5OVq/fr3i4+N17Ngxs6NZ0sjIiDZs2KCqqiotXLjQ7DiW5XQ6lZKSooULFyolJUWLFy82O5Ll1NfXKyMjQ3v27FFOTo6WLl2qkpISZWdnmx0tolB4LWh8fFydnZ265557Zqy/99579cUXX5gTCrjowoULkqRFixaZnMS6JiYm1NHRodHRUXm9XrPjWFJVVZVWr16twsJCs6NY2smTJ5WZmaknnnhC69at0+nTp82OZDkHDhyQx+PRww8/LJ/Pp+XLl+vNN980O1bEofBa0MDAgCYmJpSWliZJiomJkSQlJyerr6/PzGiWND0/p5M3HvyrnE6nWltbtXLlSuXn55sdx3K6u7sVHx+v+Ph47dmzRx999JFuueUWs2NZTnNzs06cOKH6+nqVl5fL4XCYHcmS7rzzTjU1Nenjjz/Wu+++q/7+fhUXF2twcNDsaJZy+vRpNTQ0KDc3V+3t7XryySf11FNPqampyexoEYWf8BYWFxenoaEhud1uSZJhGPzFDlNt3rxZ33zzjY4cOWJ2FEvKzc1VV1eXfv75Z33wwQfy+XwKBAKU3jn48ccfVV1drba2Ns2bN8/sOJZWWloaul1QUCCv16vs7Gy98847qq2tNTGZtUxOTsrj8aiurk6SdPvtt6unp0cNDQ3asGGDyekiB0d4LSgpKUnR0dE6e/asEhISQiW3v79fycnJJqdDpNqyZYsOHDig9vZ2paenmx3Hklwul5YtWyaPx6MdO3aosLBQr732mtmxLKWzs1P9/f0qKiqS0+mU0+lUIBDQrl275HQ6NTExYXZEy4qLi1NBQYFOnjxpdhRLSU1NveIfrTfffDO/ZP5/RuG1IJfLpaKiIvn9/hnr/X6/iouLTUqFSGUYhjZv3qwPP/xQhw8fVlZWltmRbMMwDI2NjZkdw1JKSkrU3d2trq6u0OLxeLRu3Tp1dXUpOjra7IiWNTY2pm+//VapqalmR7GUFStWXHGpxu+//16ZmZkmJYpMnNJgUbW1taqsrJTH45HX61VjY6OCwaA2btxodjTLGBkZ0alTp0L3f/jhB3V1dWnRokVasmSJicmspaqqSu+9955aWlrkdrtD55HPnz9f1113ncnprGPr1q0qLS1VRkaGhoeH1dzcrE8//ZRr8c6R2+2+4vzxuLg4JSYmcl75HD3zzDMqKyvTkiVL1N/fr+3bt+v8+fPy+XxmR7OUmpoaFRcXq66uTg899JC++uorNTY2qrGx0exokcWAZe3evdvIzMw0XC6XcccddxiBQMDsSJbS3t5uSLpi8fl8ZkezlNlmKMnYt2+f2dEs5bHHHgu9nhcvXmyUlJQYbW1tZseyhVWrVhnV1dVmx7CciooKIzU11YiJiTHS0tKMBx54wOjp6TE7liUdPHjQyM/PN2JjY42bbrrJaGxsNDtSxHEYhmGY1LUBAACAa45zeAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtkbhBQAAgK1ReAEAAGBrFF4AAADYGoUXAAAAtvYfdW0CBxaoKVoAAAAASUVORK5CYII=' width=700.0/>\n",
+       "            </div>\n",
+       "        "
+      ],
+      "text/plain": [
+       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "x = np.linspace(0,6,100)\n",
+    "fig, axs = plt.subplots(2, 1, figsize=(7, 6))\n",
+    "def func(a,b):\n",
+    "    axs[0].clear()  # Clear the existing plot\n",
+    "    axs[1].clear()\n",
+    "    axs[0].plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "    axs[0].grid()\n",
+    "    axs[0].plot(x,w_numpy(6,b,1500,x),color='blue')\n",
+    "    axs[0].plot([a-0.4,a,a+0.4],[w_numpy(6,b,1500,a)+phi_numpy(6,b,1500,a)*0.4,w_numpy(6,b,1500,a),w_numpy(6,b,1500,a)-phi_numpy(6,b,1500,a)*0.4],linewidth=3)\n",
+    "    axs[0].plot([a-0.4,a,a+0.4],[w_numpy(6,b,1500,a),w_numpy(6,b,1500,a),w_numpy(6,b,1500,a)],color='black')\n",
+    "    if phi_numpy(6,b,1500,a) > 0:\n",
+    "        axs[0].annotate(text='', xytext=(a+0.5,w_numpy(6,b,1500,a)), xy=(a+0.5,w_numpy(6,b,1500,a)-phi_numpy(6,b,1500,a)*0.5), arrowprops=dict(arrowstyle='simple',connectionstyle=\"arc3,rad=.5\"))\n",
+    "    else:\n",
+    "        axs[0].annotate(text='', xytext=(a+0.5,w_numpy(6,b,1500,a)), xy=(a+0.5,w_numpy(6,b,1500,a)-phi_numpy(6,b,1500,a)*0.5), arrowprops=dict(arrowstyle='simple',connectionstyle=\"arc3,rad=-.5\"))\n",
+    "    axs[0].annotate('%.5f rad' % phi_numpy(6,b,1500,a),xy = [a+0.6,(w_numpy(6,b,1500,a)+w_numpy(6,b,1600,a)-phi_numpy(6,b,1500,a)*0.3)/2])\n",
+    "    axs[0].annotate(text='', xy=(b,0), xytext=(b,-0.01), arrowprops=dict(arrowstyle='simple'))\n",
+    "    axs[0].set_ylim([-0.009,0.05])\n",
+    "    axs[0].invert_yaxis()\n",
+    "    title0 = 'Rotation for force at at $x_F = '+str(b)+'$, showing rotation at $x_w = '+str(a)+'$'\n",
+    "    axs[0].set_title(title0)\n",
+    "    axs[1].plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "    axs[1].grid()\n",
+    "    axs[1].plot(x,w_inf_numpy(6,a,1500,x),color='blue')\n",
+    "    axs[1].plot(b,w_inf_numpy(6,a,1500,b),marker='o')\n",
+    "    axs[1].annotate('%.5f rad' % np.round(w_inf_numpy(6,a,1500,b),5),xy = [b,w_inf_numpy(6,a,1500,b)-0.00005])\n",
+    "    axs[1].set_ylim([-0.013,0.001])\n",
+    "    axs[1].invert_yaxis()\n",
+    "    title1 = 'Influence line for displacement at $x_w = '+str(a)+'$'\n",
+    "    axs[1].set_title(title1)\n",
+    "    axs[0].spines['right'].set_color('none')\n",
+    "    axs[0].spines['top'].set_color('none')\n",
+    "    axs[0].spines['bottom'].set_position('zero')\n",
+    "    axs[0].spines['left'].set_position('zero')\n",
+    "    axs[1].spines['right'].set_color('none')\n",
+    "    axs[1].spines['top'].set_color('none')\n",
+    "    axs[1].spines['bottom'].set_position('zero')\n",
+    "    axs[1].spines['left'].set_position('zero')\n",
+    "    plt.draw() \n",
+    "    \n",
+    "interact(func, a = widgets.FloatSlider(min=0, max=6, value=2, step=0.1, description=\"Location rotation x_phi = ... (m)\",readout_format='.1f',style= {'description_width': '250px'},layout = {'width': '500px'}),\n",
+    "         b = widgets.FloatSlider(min=0, max=6, value=2, step=0.1, description=\"Location force x_F = ... (m)\",readout_format='.1f',style= {'description_width': '250px'},layout = {'width': '500px'}) );"
+   ]
+  }
+ ],
+ "metadata": {
+  "celltoolbar": "Diavoorstelling",
+  "hide_code_all_hidden": true,
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.9.18"
+  },
+  "widgets": {
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+    "state": {
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+      "model_module": "@jupyter-widgets/base",
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+      "model_name": "LayoutModel",
+      "state": {}
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+     "08a936a0195040239977989233eba3f7": {
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+      "state": {
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+      }
+     },
+     "097335eec168447e84a2e176f5e4b09f": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
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+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location rotation $x_\\phi$ = ... (m)",
+       "layout": "IPY_MODEL_a82882d52b124039a020b3cb7253ca97",
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+       "value": 2
+      }
+     },
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+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_4f45eff818fa405895e6c878b107632b",
+        "IPY_MODEL_efabf2a4993847ef8f6973a4d2aad604",
+        "IPY_MODEL_decee5f068bf4f9a9953bb1440c517b7"
+       ],
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+      "state": {
+       "description": "Location unit load $x_F = $ ... (m)",
+       "layout": "IPY_MODEL_c6c9547873fb4b108a305afee194ae2c",
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+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location rotation $x_\\phi$ = ... (m)",
+       "layout": "IPY_MODEL_b03ac1eca6fc499b90b1e4fa98004ad9",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_0a93d39eeb014f6ca51015777cfb0382",
+       "value": 2
+      }
+     },
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+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location unit load $x_F = $ ... (m)",
+       "layout": "IPY_MODEL_ee74131150b643e98b2d8893baeff48a",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.1,
+       "style": "IPY_MODEL_80cb13f155db479eb13bba8b58dbb303",
+       "value": 2
+      }
+     },
+     "34fcf1bcf05c45388cb264a79e2957cf": {
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+      "model_module_version": "1.2.0",
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+      "state": {
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+      }
+     },
+     "38437965d3b4455495bc7ae48c750fef": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_818550c5e40f403daf10d168d3afe423",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "3c74c46546f54680b9bfdc46c0ff6793": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_08a936a0195040239977989233eba3f7",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_c68a1d748f7b4965a8a676e735ade730",
+       "value": 2
+      }
+     },
+     "3cc2c2c0f1c54e2eb2baa25f5a7d8c17": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "3d6a9a32f81a4e7f97e6a02fdf27747d": {
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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "5999d83c1f3b450f884587961917827a": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "400px"
+      }
+     },
+     "613b69c3f7a940999f4d517d8875e270": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "200px"
+      }
+     },
+     "6357aa1ae06348ec8646dfa1affee8ae": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "180px"
+      }
+     },
+     "67821cda3cdf4758a7a290525f4fe334": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "6a3206e7c662439e9952a34c8e1b1c11": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "450px"
+      }
+     },
+     "6b86b81b263b47d6bff88eae7ac27298": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "400px"
+      }
+     },
+     "6c83f03cf9b542e7867f74bf02fd309f": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_b6bfcc1721ed4ff690a3d14eb9aa24c9",
+        "IPY_MODEL_b2bcba57ab5a4d8f8a16c2dd6011e987",
+        "IPY_MODEL_c7ef95d387614764b178ae0f80debc89"
+       ],
+       "layout": "IPY_MODEL_9e60aac8a0184880817218d4acbaa2c7"
+      }
+     },
+     "6e565f5b398f4650abb8949fc453bd88": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "720825e419354d708cd90f75607e8da5": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location displacement $x_w$ = ... (m)",
+       "layout": "IPY_MODEL_3cc2c2c0f1c54e2eb2baa25f5a7d8c17",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_09b41ffb62c74929ac670ed540e930a7",
+       "value": 2
+      }
+     },
+     "760d3d9f63d8405b89c5fecfed33ee53": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
+     "801df073b4044471be6694da65e4a542": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_9ee1c3b31a14458685d906e8d03bd369",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
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+        }
+       ]
+      }
+     },
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+      }
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+      "state": {
+       "description": "Location unit load $x_F = $ ... (m)",
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+      "model_name": "VBoxModel",
+      "state": {
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+        "widget-interact"
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+        "IPY_MODEL_c8e7012749b84fa39305a33c26a799b3"
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+       "layout": "IPY_MODEL_3f039c47c7834b83a3d9ae18f204d6c7"
+      }
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+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_720825e419354d708cd90f75607e8da5",
+        "IPY_MODEL_c40ca55f04234e45b85cecb3c42566c2",
+        "IPY_MODEL_58bd61bdd2a44d75b61689a5b533bd00"
+       ],
+       "layout": "IPY_MODEL_57ea6daf56ad4016a935df2b14caa4fa"
+      }
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+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "9ee1c3b31a14458685d906e8d03bd369": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "a2b3cea1700646bc9f54cc7a7053e41f": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_e28fb4589aa54b48ac27afcbf0c851b1",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "a81a014c7e9b4244b99d90f6a675e007": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "a82882d52b124039a020b3cb7253ca97": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "b03ac1eca6fc499b90b1e4fa98004ad9": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "b2bcba57ab5a4d8f8a16c2dd6011e987": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_6a3206e7c662439e9952a34c8e1b1c11",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_40e3c2b00bc54b8baf5896b0d60fb9e0",
+       "value": 2
+      }
+     },
+     "b6bfcc1721ed4ff690a3d14eb9aa24c9": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location shear force $x_V$ = ... (m)",
+       "layout": "IPY_MODEL_3e7a4aeafd38411eab5f3749620bae52",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_613b69c3f7a940999f4d517d8875e270",
+       "value": 2
+      }
+     },
+     "b747b04968174ff7aca2e216a529da7c": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_030c899a770e452fa6c19a16f5f72909",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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lCzt+/Djbu3cve/vtt2VG0ZqZmbFevXqx7du3sxMnTrDDhw+zL774gnl7e1db//po64bKNyUlhbVo0YJ5enqygoIC9vz5c36ztEDA9Dv2YQDYgwcPWF5eHhMIBOz27dvVPvf69NlnnzEAbPDgwZJRhK9uYidPnmSamppsyZIlMnn4+PgwMzMzSVtPnTqVAWC7d++WSocK0/FU5vnz5+yNN95g69atY7/99hs7efIkW7duHdPV1WXjx49njNXuXKvN+zkqKkpyE3t8fLxk/3vvvccAMDMzM1ZaWlptmbWpW8VRtL/++itzc3Nj9vb2TCAQVPs6VVdWbZ53Ve9jec+D6vJ4nfZ43c/ThjiPGePTQWlqakqNrGaMsR49erCkpCTm4uLC7t69y3r16sVSU1OZvb29ZFS2Ish7PjNW9Tkt7/nckCjAU0HVBXgvX75krVq1Yu3bt2clJSWMsfL5kQwMDJienh7r3bs3++2332SOnTdvHrOzs2MaGhpS8xZlZ2ezKVOmMCsrK6avr8/69u3LTp06xby8vGQ+lKrKo7p58Kqrl6ICvNctX1Hl1VTmtWvX2FtvvcUsLCyYjo4Oa9WqFXv33Xdl5sFLSUlhkydPZs2bN2fa2tqsWbNmzMPDgy1fvrza+tdHWzdEvo8fP2Zt27ZlPXr0kIwWFgd4QvtuDBpakgDvzJkzzNjY+LVH49WGl5dXtaP1xMTvl8WLF8vkkZeXx2bMmMFsbGyYjo4O69q1K9u7d69MGgBs3Lhx1dansLCQBQcHs65duzJjY2Omp6fHOnbsyBYvXixZaaW255q87+fs7GymoaHBDAwMWHFxsWT/nj17GAA2evRomWNeJ8BjjLEDBw5I5sFr1aoVW716NZsxYwYzMzOr9nWqrqzaPu/K3se1OQ+qyuN12uN1P08b4jwWmzp1KhMKhVJ1GjBgAFu5ciV78803GWN8VPaKFSvYW2+9VW29X5e85zNjVZ/T8pzPDU3AGGN16PgjhJAGlZOTA1NTU1j6z4WGjh4yflmMBw8e4LfffsPPP/+MEydOKLuK9S46OhrDhg3D5cuX0aVLF2VXR2WJRCJ0794dzZs3R2xsrLKrQ+pozJgxOHPmDLZv344hQ4ZIHkdGRtbrykFNBQ2yIIQ0apcvX0aPHj2UXQ2FOHHiBMaNG0fBXQVTpkyBj48PbG1tkZ6ejs2bN+P69ev46quvlF018hrMzMxgaGiIwYMHA+CDLiwsLCi4qyPqwSOENApV9eDVNLUMUT8BAQFISEjA06dPoa2tjR49emD+/PmSwIAQQj14hBBCGpmff/5Z2VUgROXRNCmEEEIIIWqGAjxCCCGEEDVDAR4hhBBCiJqhe/BeQ1lZGR4/fgwjIyOlLSZMSFORm5srsy8vL6/S/YQQoq4YY8jLy4OdnR00NKrup6MA7zU8fvwYLVu2VHY1CGmynJyclF0FQghRippmEaAA7zUYGRkB4C+ysbGxQsoQiUSIjY2Fr69vpevwkYZB7aB8OTk5aNWqldS+a9euoXnz5kqqEaHzQjVQO6iOhmiL3NxctGzZUhKDVIUCvNcgvixrbGys0ABPX18fxsbGdOIqEbWD8lU2ZaeRkZHCzj1SMzovVAO1g+poyLao6dYwGmRBCCGEEKJmKMAjhBBCCFEzFOARQgghhKgZCvAIISrt5cuXsLK2hpmZGQBAoKEBaGgCAFq1agULy2Z49uyZMqtICCEqhwI8QohKEwqFsLBsBg0DM1gMDYWuQw/otugMizdnQtPECkbGxjWOJiOEkKaGAjxCiErT0NDAsiURKM1/Bi2z5tDQ1oVASxs6Vg4oef4EEYvCaeQgIYRUQAEeIUTljR49Go5OnZGX8JNkX27CPtg7tMGECROUWDNCCFFNFOARQlSehoYGlkYsRkFKMgofXkdxxn94cTMBi8MXQkuLpvMkhJCK6JORENIojBkzBh07OeFB4l5ASwj71g4ICgpSdrUIIUQlKbwHb9OmTXBwcICuri5cXFxw6tSpatPHx8fDxcUFurq6aNOmDTZv3iyTJioqCk5OThAKhXBycsKBAwdqXS5jDBEREbCzs4Oenh769++Pq1evvt6TJYQojPhevIL/LqLgViLCFy6g3jtCCKmCQgO8yMhIhIaGYsGCBUhOToanpyeGDBmC1NTUStOnpKRg6NCh8PT0RHJyMubPn48ZM2YgKipKkiYxMRGBgYEICgrC5cuXERQUhICAAJw7d65W5a5duxZffPEFNmzYgPPnz8PGxgY+Pj7Iy8tT3AtCCHktY8aMgWMnJzSztsb48eOVXR1CCFFdTIF69erFgoODpfY5OjqyuXPnVpp+9uzZzNHRUWrftGnTWO/evSWPAwIC2ODBg6XS+Pn5sXHjxsldbllZGbOxsWGrV6+W/L2wsJCZmJiwzZs3y/38cnJyGACWk5Mj9zG1VVRUzA4ePMiKi4sVVgapWXExtYOqSE1NZd9//z21hQqg80I1UDuojqKiYnbggGLbQt7YQ2HXN4qLi5GUlIS5c+dK7ff19UVCQkKlxyQmJsLX11dqn5+fH7Zt2waRSARtbW0kJiZi5syZMmnWr18vd7kpKSlIT0+XKksoFMLLywsJCQmYNm1apfUrKipCUVGR5HFubi4AvriwSCSq6qWos/x8wN7+Ahg7AGPjkBoXFiaKwxhDUVERhEIhtYOSidti0aJF1BZKRueFaqB2UA2MaeD58xVgLB2OjkukrizWJ3njDYUFeJmZmSgtLYW1tbXUfmtra6Snp1d6THp6eqXpS0pKkJmZCVtb2yrTiPOUp1zxz8rS3L9/v8rntGrVKixZskRmf2xsLPT19as8rq7272+HvDx3AC7Izx8J4I96L4MQQgghr0sHwG4AbwEow3//HUJ0dLRCSiooKJArncLvUK74bYIxVu03jMrSV9wvT571leZV8+bNQ1hYmORxbm4uWrZsCV9fXxgbG1d5XF35+QGHD/+J58/9AETB0nIShMLKez+JYtE3ZNVBbaE6qC1UA7WDcpWVGeDZs20oKuoLoAiGhsFo06YAQ4cOVUh54quHNVFYgGdpaQlNTU2Z3rqMjAyZnjMxGxubStNraWnBwsKi2jTiPOUp18bGBgDvybO1tZWrbgC/jCsUCmX2a2trK2QmfW1t4NGjAejfPw3nz9vi5cufcfgw4O5e70WRGohEIkRHR2Po0KG0aoKSUVuoDmoL1UDtoDxPnwJDhwJpaYChIfDrr5ooLByJoUO3KKwt5M1XYaNodXR04OLigri4OKn9cXFx8PDwqPQYd3d3mfSxsbFwdXWVPKGq0ojzlKdcBwcH2NjYSKUpLi5GfHx8lXVTFm1t4NNPL2DgwDK8eAEMGQIkJyu7VoQQQkjTlpoKeHoCFy4AlpbAiRPAgAFM2dWSUOgl2rCwMAQFBcHV1RXu7u7YsmULUlNTERwcDIBf8nz06BF27doFAAgODsaGDRsQFhaGqVOnIjExEdu2bcPevXsleX788cfo168f1qxZA39/fxw6dAhHjx7F6dOn5S5XIBAgNDQUK1euRPv27dG+fXusXLkS+vr6Kjn1go5OGX79tRTDh2vg9GnA1xeIjwecnJRdM0IIIaTpuXaN/y9+9Aho1QqIjQU6dgQUMN6yzhQa4AUGBiIrKwtLly5FWloanJ2dER0dDXt7ewBAWlqa1Nx0Dg4OiI6OxsyZM7Fx40bY2dnh66+/xpgxYyRpPDw8sG/fPixcuBDh4eFo27YtIiMj4ebmJne5ADB79my8fPkSISEhyM7OhpubG2JjY2FkZKTIl6TODAyA338HBg3i3xYGDQJOnQLatlV2zQghhJCm4+xZflk2Oxvo1IkHdy1aKLtWsgRMPIqB1Fpubi5MTEyQk5OjkEEWgOy9FVlZQP/+wJUrgL098Ndf/NsDUSy6x0V1UFuoDmoL1UDt0HBiYoAxY4CCAqB3b97x8r8hAgAapi3kjT0UvlQZqV8WFkBcHNC+PXD/Pu/Jq2LWGUIIIYTUk59+AoYP58Gdnx9w9Kh0cKdqKMBrhGxsgGPHeA/e7duAjw+QlaXsWhFCCCHq6ZtvgHfeAUpKgLffBg4f5rdOqTIK8Bqpli15kGdryy/X+vkBOTnKrhUhhBCiPhgDwsOBGTP4448+AnbvBnR0lFsveVCA14i1bcu7iC0tgaQkftPnixfKrhUhhBDS+JWWAh98ACxfzh8vXQp89RWg0Ugip0ZSTVIVJyc+gsfUFEhIAPz9gcJCZdeKEEIIabyKioDAQOC77wCBANi8mffkNaaFQijAUwNvvAH88QefRfvYMWDsWKC4WNm1IoQQQhqf3Fx+RSwqil+K/flnYNo0Zdeq9ijAUxPi4dq6usCRI+U3gxJCCCFEPhkZgLc3cPw47zSJjuadJo0RBXhqxMsLOHiQf+P49Vdg8mSgrEzZtSKEEEJUX0oK0KcPcPEi0KwZcPIkMHCgsmtVdxTgqRk/P96drKkJ/PgjEBLCRwERQgghpHL//AN4eAB37vApyE6fBlxclF2r10MBnhry9+fDuAUCfoPoJ59QkEcIIYRU5tQpoF8/vmiAszMfsNihg7Jr9foowFNT48YB33/Pf//yS2DRIuXWhxBCCFE1v/0G+PryeWT79OHLf9rZKbtW9YMCPDU2eTKwYQP/fflyYOVK5daHEEIIURXbtwOjRvGpxYYN41OOmZkpu1b1hwI8Nffhh8Datfz3BQuA9euVWh1CCCFEqRgD1qzhnSClpcCkScD+/YC+vrJrVr8owGsCPv0UiIjgv8+cCWzZotTqEEIIIUpRVsbvS587lz+ePZv35GlrK7deiqCl7AqQhrFoEVBQwHvzgoMBPT0gKEjZtSKEEEIaRnEx77Xbs4c//uwzHuypKwrwmgiBAFi9mgd5GzYA774LCIVAQICya0YIIYQo1osXfMLimBhASwv44Qf17+SgAK8JEQj4QskvXwLbtvHVLnR1gREjlF0zQgghRDEyM4E33wT+/ptfvfr1V74Umbqje/CaGA0NPjfe+PF8KbO33gL+/FPZtSKEEELq3/37QN++PLgzN+dLkDWF4A6gAK9J0tQEdu4Exozh9ySMHMmXZCGEEELUxZUrfHWKmzeBli356hS9eyu7Vg2HArwmSksL+Okn3m0tngMoIUHZtSKEEEJe3+nTgKcn8Pgx4OTE/7916qTsWjUsCvCaMB0dfi+Cjw+/AXXIEOD8eWXXihBCCKm7w4f5/7Xnz/nqFKdOAS1aKLtWDU/hAd6mTZvg4OAAXV1duLi44NSpU9Wmj4+Ph4uLC3R1ddGmTRts3rxZJk1UVBScnJwgFArh5OSEAwcO1Lrc/fv3w8/PD5aWlhAIBLh06dJrPc/GSlcXOHiQr8OXmwv4+QFN9KUghBDSyH3/vezqFObmyq6Vcig0wIuMjERoaCgWLFiA5ORkeHp6YsiQIUhNTa00fUpKCoYOHQpPT08kJydj/vz5mDFjBqKioiRpEhMTERgYiKCgIFy+fBlBQUEICAjAuXPnalXuixcv0KdPH6xevVpxL0Ajoa8P/P47vzchO5t/87l6Vdm1IoQQQuTDGLBsGTB1Kp/MePJk4MAB9VudolaYAvXq1YsFBwdL7XN0dGRz586tNP3s2bOZo6Oj1L5p06ax3r17Sx4HBASwwYMHS6Xx8/Nj48aNq1O5KSkpDABLTk6W6zm9KicnhwFgOTk5tT5WXsXFxezgwYOsuLhYYWWIZWcz5uLCGMCYjQ1jN28qvMhGoyHbgVSP2kJ1UFuohqbeDiUljIWE8P9dAGMLFjBWVqacujREW8gbeyisB6+4uBhJSUnw9fWV2u/r64uEKu7mT0xMlEnv5+eHCxcuQCQSVZtGnGddyiWcqSmfMqVrVyA9HRgwALh7V9m1IoQQQipXWAiMGwds2sTnev3mG2D5cv57U6ewiY4zMzNRWloKa2trqf3W1tZIT0+v9Jj09PRK05eUlCAzMxO2trZVphHnWZdy5VVUVISioiLJ49zcXACASCSSBKD1TZyvovKvyNgYiI4GfHy0cP26AAMGMBw7VgJ7+wYpXmU1dDuQqlFbqA5qC9XQVNvh+XNgzBhNnDqlAR0dhu3bS/HWWwzKfBkaoi3kzVvhK1kIKoTRjDGZfTWlr7hfnjxrW648Vq1ahSVLlsjsj42Nhb6CL/THxcUpNP+KPv1UiIUL+yI11RB9+xZjxYrTsLQsbNA6qKKGbgdSNWoL1UFtoRqaUjtkZeliyRJ3pKYaQ19fhHnz/oaBQSaio5VdM06RbVFQUCBXOoUFeJaWltDU1JTpNcvIyJDpXROzsbGpNL2WlhYsLCyqTSPOsy7lymvevHkICwuTPM7NzUXLli3h6+sLY2Pj18q7KiKRCHFxcfDx8YG2trZCyqhK//7AoEEM//1ngDVrfHH0aAlsbRu0CipDme1ApFFbqA5qC9XQ1Nrh+nXgo4+08OCBALa2DIcPA9269VJ2tQA0TFuIrx7WRGEBno6ODlxcXBAXF4dRo0ZJ9sfFxcHf37/SY9zd3fHbb79J7YuNjYWrq6vkhXJ3d0dcXBxmzpwplcbDw6PO5cpLKBRCKBTK7NfW1lb4SdUQZVTk4MCXdenXD7h9W4AhQ7Rx4gRgZdWg1VApymgHUjlqC9VBbaEamkI7JCTw6U+ys4GOHYGYGAFat1a956zItpA3X4Veog0LC0NQUBBcXV3h7u6OLVu2IDU1FcHBwQB4j9ijR4+wa9cuAEBwcDA2bNiAsLAwTJ06FYmJidi2bRv27t0ryfPjjz9Gv379sGbNGvj7++PQoUM4evQoTp8+LXe5APDs2TOkpqbi8ePHAICbN28C4D2ENjY2inxZGhV7e+DECR7kXbvGp1A5fhz4X4cqIYQQ0iAOHeIDKgoLATc3Pr2XpaWya6W6FBrgBQYGIisrC0uXLkVaWhqcnZ0RHR0N+//dsZ+WliY1N52DgwOio6Mxc+ZMbNy4EXZ2dvj6668xZswYSRoPDw/s27cPCxcuRHh4ONq2bYvIyEi4ubnJXS4AHD58GO+9957k8bhx4wAAixcvRkREhKJekkapTRse1PXvD/zzDzBoEHDsWNOdPJIQQkjD+u47ICSEz3H35ptAZCRgYKDsWqk2AROPYiC1lpubCxMTE+Tk5Cj0Hrzo6GgMHTpU6V3vN24AXl5ARgbg4gIcPcqnVmkKVKkdmjpqC9VBbaEa1LkdGAMWLeJTnwDAlCnA5s18PXVV1BBtIW/sQWvRErk5OvKePEtLICkJGDyYL29GCCGE1DeRCHj//fLgbvFiYOtW1Q3uVA0FeKRWOnfmPXfm5sC5c8CQIUBenrJrRQghRJ3k5wMjRwI//ABoaPBLtBERNIFxbVCAR2qtWzcgLo5fnk1I4PdD5Ocru1aEEELUwZMngLc3n3RfT4+vKft//6fsWjU+FOCROunRA4iNBUxMgFOn+LD1Fy+UXStCCCGN2e3bgIcHcOECn63h+HFgxAhl16pxogCP1FnPnnztWmNjID4eGD4ckHOCbUIIIUTKuXM8uPvvPz4Pa0IC0Lu3smvVeFGAR16LmxsQEwMYGvL58vz9gZcvlV0rQgghjclvv/HLspmZgKsrkJgIdOig7Fo1bhTgkdfm7s6DPAMDPgBj5Eg+ESUhhBBSk82b+f+Nly/5wL0TJ4DXXFmUgAI8Uk/69AH++IMHebGxFOQRQgipXlkZMG8e8MEH/PfJk/lqFYaGyq6ZeqAAj9QbT0/gyBFAX5/fmzdqFAV5hBBCZBUXAxMnAqtX88dLlgDffw+o2TzNSkUBHqlXXl7lQV5MDDB6NAV5hBBCyj1/zifK37OHT1q8fTtfrYLmuKtfFOCRete/Pw/y9PT4ZdsxY4CiImXXihBCiLKlpgJ9+/L77AwN+f+Kd99Vdq3UEwV4RCH69y+fpDI6mvfkUZBHCCFNV3Iyn/bk6lXA1pbPoerrq+xaqS8K8IjCvNqTJw7y6HItIYQ0PX/8AfTrB6Sl8SUvz54FundXdq3UGwV4RKG8vYHff6cgjxBCmqqtW/lE+Pn5wMCBwJkzQKtWyq6V+qMAjyjcgAHS9+TRFCqEEKL+ysqABQv4OrKlpcCkSfyLvomJsmvWNFCARxqEeOFo8RQqtOIFIYSor8JC4J13gJUr+ePFi/loWR0d5darKaEAjzSY/v2lJ0OmII8QQtRPZiYwaBCwb1/5NCgRETQNSkOjAI80qH79yoO8uDhg2DCgoEDZtSKEEFIfbt/my1eeOcMvxf75J02DoiwU4JEG5+nJT3pDQ+D4cWDoUH7zLSGEkMbrzBke3N25A9jbAwkJ/B5sohwU4BGl6NOHX6Y1Ngbi4/kC03l5yq4VIYSQuti7lwdzWVlAz558GhQnJ2XXqmmjAI8ojbs7v0xragqcPg34+QE5OcquFSGEEHkxBixbBowfz9eXHTkSOHkSsLFRds0IBXhEqXr1Ao4eBczMgMREPqt5draya0UIIaQmRUX8/rpFi/jjWbOAqCg+WwJRPoUHeJs2bYKDgwN0dXXh4uKCU6dOVZs+Pj4eLi4u0NXVRZs2bbB582aZNFFRUXBycoJQKISTkxMOHDhQq3JFIhHmzJmDLl26wMDAAHZ2dpg4cSIeP378+k+Y1JqLC78Xz8IC+PtvPvoqK0vZtSKEEFKVZ8/4VZdduwBNTWDzZmDdOkCDuo1UhkKbIjIyEqGhoViwYAGSk5Ph6emJIUOGIDU1tdL0KSkpGDp0KDw9PZGcnIz58+djxowZiIqKkqRJTExEYGAggoKCcPnyZQQFBSEgIADnzp2Tu9yCggJcvHgR4eHhuHjxIvbv349bt25hxIgRinw5SDW6d+eLTzdrBly8yOfNy8hQdq0IIYRUJB4pGx8PGBnxieynTVN2rYgMpkC9evViwcHBUvscHR3Z3LlzK00/e/Zs5ujoKLVv2rRprHfv3pLHAQEBbPDgwVJp/Pz82Lhx4+pcLmOM/f333wwAu3//fvVP6hU5OTkMAMvJyZH7mNoqLi5mBw8eZMXFxQorQ5Vcu8aYrS1jAGOOjow9eqTsGnFNrR1UGbWF6qC2UA0N2Q4nTjBmZsY/o1u1YuyffxReZKPSEG0hb+yhpajAsbi4GElJSZg7d67Ufl9fXyQkJFR6TGJiInx9faX2+fn5Ydu2bRCJRNDW1kZiYiJmzpwpk2b9+vV1LhcAcnJyIBAIYGpqWmWaoqIiFBUVSR7n5uYC4Jd8RSJRlce9DnG+ispf1bRrx+/J8/PTwo0bAnh5Mfz5ZwlatlRuvZpaO6gyagvVQW2hGhqqHXbuFCAkRBMikQC9epXh119LYWMDUPOXa4i2kDdvhQV4mZmZKC0thbW1tdR+a2trpKenV3pMenp6pelLSkqQmZkJW1vbKtOI86xLuYWFhZg7dy7Gjx8PY2PjKp/TqlWrsGTJEpn9sbGx0FfwXaVxcXEKzV/VhIfrIzzcA3fuGMDdvRjLliXA2lr5MyI3tXZQZdQWqoPaQjUoqh3KyoDdu52wf397AECfPo8wY8ZFXLxYppDy1IEiz4kCOVcHUFiAJyaosDYJY0xmX03pK+6XJ095yxWJRBg3bhzKysqwadOmap4JMG/ePISFhUke5+bmomXLlvD19a02MHwdIpEIcXFx8PHxgba2tkLKUFWDBgF+fgx37hhg6dJBiIkpQceOyqlLU24HVUNtoTqoLVSDItvhxQvgvfc0cfAgv2V//vxSLFpkBQ2NwfVajrpoiHNCfPWwJgoL8CwtLaGpqSnTa5aRkSHTuyZmY2NTaXotLS1YWFhUm0acZ23KFYlECAgIQEpKCo4fP15jkCYUCiEUCmX2a2trK/zDrSHKUDVt2gB//cUDvWvXBBg4UBtxcUDXrsqrU1NsB1VFbaE6qC1UQ323w8OHwIgRQHIyoKMDbNsGTJigCUCz3spQV4o8J+TNV2GjaHV0dODi4iLTTRkXFwcPD49Kj3F3d5dJHxsbC1dXV8kTqiqNOE95yxUHd7dv38bRo0clASRRLba2fNLM7t35qNr+/YHz55VcKUIIUXN//81XpEhO5rMbnDgBTJig7FqR2lDoNClhYWH4/vvv8cMPP+D69euYOXMmUlNTERwcDIBf8pw4caIkfXBwMO7fv4+wsDBcv34dP/zwA7Zt24ZZs2ZJ0nz88ceIjY3FmjVrcOPGDaxZswZHjx5FaGio3OWWlJRg7NixuHDhAvbs2YPS0lKkp6cjPT0dxcXFinxJSB2IP1x69+aTIA8cyFe+IIQQUv8iIwEvLyA9HXB25sFeFf0yRIUp9B68wMBAZGVlYenSpUhLS4OzszOio6Nhb28PAEhLS5OaE8/BwQHR0dGYOXMmNm7cCDs7O3z99dcYM2aMJI2Hhwf27duHhQsXIjw8HG3btkVkZCTc3NzkLvfhw4c4fPgwAKB79+5SdT5x4gT69++voFeE1JWpKV+7dsQI3qPn6wscOgT4+Ci7ZoQQoh7KyoClSwHxWMI33+RrzBoZKbdepG4UPsgiJCQEISEhlf5tx44dMvu8vLxw8eLFavMcO3Ysxo4dW+dyW7duLRm8QRoPIyMgOhoYPRqIiQGGDePfNEeOVHbNCCGkcXvxApg0iS81BgCffAKsWcNXqSCNEy0qQhoVPT3eczdmDF/YeuxY4McflV0rQghpvFJTgb59eXCnrc0HU3z2GQV3jR0FeKTR0dEB9u3ji1yXlgITJwI1zHBDCCGkEomJQK9ewKVL/H7n48eByZOVXStSHyjAI42Slhb/lvnRR/zxhx8Cq1crt06EENKY7NrFZyZ48gTo1o3PUNC3r7JrReoLBXik0dLQAL76Cli4kD+eNw+YOxeg2ysJIaRqJSVAWBi/5664GBg1is9M8L9xiERNUIBHGjWBAFi2DFi3jj9eswaYNo1fuiWEECItOxsYOhT48kv+ODwc+PVXwNBQufUi9U/ho2gJaQizZvGpVKZNA7ZuBZ4/54MvKll4hBBCmqRr1wB/f+DOHUBfn1+ifWUWMqJmqAePqI333+fTpujoAL/8AgwfDuTnK7tWhBCifIcPA25uPLhr3ZoPrqDgTr1RgEfUytixwJEjgIEBEBfHJ0J+9kzZtSKEEOUoK+MTF/v78y+84uUelbmmN2kYFOARtTNoEHDsGGBmBpw9C/TrxxfNJoSQpiQ3l08MHxHBH3/4IV8RyNJSqdUiDYQCPKKW3NyAU6eA5s2Bq1eBPn2AGzeUXStCCGkYt27xz8FDh/htKz/8AGzYwCcyJk0DBXhEbXXuDJw5A3TsWD5T+99/K7tWhBCiWEeOAD178i+1dnbAX38B772n7FqRhkYBHlFr9vZ8fqeePYGsLGDAAH6JghBC1I34frthw/jlWQ8PICmJ9+SRpocCPKL2LC358js+PnxB7WHDgJ9+UnatCCGk/uTna2H0aE3J/XbBwcCJE4CNjVKrRZSIAjzSJBgaAr//DowbB4hEwDvvAJ9/ruxaEULI67tyBZg92wvR0RoQCoHt24Fvv+X33pGmiwI80mTo6AB79gChofzxrFl8uZ6yMqVWixBC6uznnwFPTy08fmyIVq0YzpwB3n1X2bUiqoACPNKkaGgAX3xRvrTZl18C48cDRUXKrRchhNSGSATMnAkEBgIvXgjQtetTnD1bAhcXZdeMqApaqow0OQIB772zteUjyyIjgYwM4MABwMRE2bUjhJDqPX4MBATwWQIA4NNPS9G7dyIsLYcot2JEpVAPHmmy3nkHiI7m9+edOMGnUXnwQNm1IoSQqsXHAz168ODO2Bg4eBBYsaIMmppM2VUjKoYCPNKkDRrE54iyteU3Kru7A5cvK7tWhBAijTF+a8nAgcCTJ0CXLsCFC3wJMkIqQwEeafLeeIMvvO3kBDx6BHh68nVsCSFEFTx/DowaBcyeDZSWAhMm8GUY27dXds2IKqMAjxCUT4jcvz+QlwcMHQrs2KHsWhFCmrqkJH5JVrzk2LffArt2Afr6yq4ZUXUKD/A2bdoEBwcH6OrqwsXFBadOnao2fXx8PFxcXKCrq4s2bdpg8+bNMmmioqLg5OQEoVAIJycnHDhwoNblRkREwNHREQYGBjAzM8OgQYNw7ty513uypFEzMwNiYvio2pISPgBj8WJ+aYQQQhoSY8DmzXw1ipQUwMEBSEjgExgLBMquHWkMFBrgRUZGIjQ0FAsWLEBycjI8PT0xZMgQpKamVpo+JSUFQ4cOhaenJ5KTkzF//nzMmDEDUVFRkjSJiYkIDAxEUFAQLl++jKCgIAQEBEgFZ/KU26FDB2zYsAH//vsvTp8+jdatW8PX1xdPnz5V3AtCVJ5QCOzeDcyfzx8vXcovhxQWKrdehJCmIy+Pf+588AFQXMzvs0tKAk2BQmqHKVCvXr1YcHCw1D5HR0c2d+7cStPPnj2bOTo6Su2bNm0a6927t+RxQEAAGzx4sFQaPz8/Nm7cuDqXyxhjOTk5DAA7evRo9U+qkmNycnLkPqa2iouL2cGDB1lxcbHCyiCV+/57xrS0GAMY69OnlO3aFU3toALonFAd1Bb179Ilxjp04J87mpqMrVvHWFlZ9cdQO6iOhmgLeWMPhc2DV1xcjKSkJMydO1dqv6+vLxISEio9JjExEb6+vlL7/Pz8sG3bNohEImhrayMxMREzZ86USbN+/fo6l1tcXIwtW7bAxMQE3bp1q/I5FRUVoeiVGXFzc3MBACKRCCKRqMrjXoc4X0XlT6o2cSLQooUAgYGaOHNGA3fveqJr1xI4OSm7Zk0bnROqg9qi/jAGbNsmwMyZmigqEqBlS4bdu0vh7s5QUlL9sdQOqqMh2kLevBUW4GVmZqK0tBTW1tZS+62trZGenl7pMenp6ZWmLykpQWZmJmxtbatMI86zNuX+/vvvGDduHAoKCmBra4u4uDhYWlpW+ZxWrVqFJUuWyOyPjY2FvoLveI2jYZ1Ks3y5EZYtc0N6uiH69i3GnDnn0KVLlrKr1eTROaE6qC1eT0GBFr79thtOnWoBAHB1TceMGReRnS1CdLT8+VA7qA5FtkVBQYFc6RS+koWgwt2gjDGZfTWlr7hfnjzlSePt7Y1Lly4hMzMTW7duldzLZ2VlVWnd5s2bh7CwMMnj3NxctGzZEr6+vjA2Nq7yOb0OkUiEuLg4+Pj4QFtbWyFlkJq9+aYIgwc/w61b5liypA82bCjF5Mk0+kIZ6JxQHdQWr+/iRWDCBC3cuSOApibDihVlCA21gIaGj9x5UDuojoZoC/HVw5ooLMCztLSEpqamTK9ZRkaGTO+amI2NTaXptbS0YGFhUW0acZ61KdfAwADt2rVDu3bt0Lt3b7Rv3x7btm3DvHnzKq2fUCiEUCiU2a+tra3wk6ohyiBVa9ECWLbsGKKi3sTPP2sgOFgLN2/yiUc1NZVdu6aJzgnVQW1Re2VlwPr1wNy5fF3Zli2BffsE8PDQBFC3DxVqB9WhyLaQN1+FjaLV0dGBi4uLTDdlXFwcPDw8Kj3G3d1dJn1sbCxcXV0lT6iqNOI861KuGGNM6h47Ql4lFJbhxx9LIb5K/+WXwIgRgJxfpgghBADw9CkwfDjwySc8uBs9mq+gU8O/KEJqRaHTpISFheH777/HDz/8gOvXr2PmzJlITU1FcHAwAH7Jc+LEiZL0wcHBuH//PsLCwnD9+nX88MMP2LZtG2bNmiVJ8/HHHyM2NhZr1qzBjRs3sGbNGhw9ehShoaFyl/vixQvMnz8fZ8+exf3793Hx4kW8//77ePjwId566y1FviSkkRMIgEWLgMhIQFeXr2UrnqeKEEJqcvw40K0b/+wQCvnExb/+yufhJKQ+KfQevMDAQGRlZWHp0qVIS0uDs7MzoqOjYW9vDwBIS0uTmpvOwcEB0dHRmDlzJjZu3Ag7Ozt8/fXXGDNmjCSNh4cH9u3bh4ULFyI8PBxt27ZFZGQk3Nzc5C5XU1MTN27cwM6dO5GZmQkLCwv07NkTp06dQufOnRX5khA1ERDAJx719weuXgV69gR++QXw9lZ2zQghqqi4mH85XLuWj5jt1Il/UezSRdk1I+pK4YMsQkJCEBISUunfdlSyFpSXlxcuXrxYbZ5jx47F2LFj61yurq4u9u/fX+3xhNSkZ0/g/Hlg5Ei+6LePD/DVV0BICM00Twgpd+sWXyEnKYk/njqV3+JhYKDcehH1RmvREvIamjcH/voLeOcdvgj49OnAtGn82zohpGljDPjhB76WbFISYG4O7N8PbNlCwR1RPArwCHlNenrAjz/ySy8CAbB1KzBwIPDkibJrRghRlqws4K23gClTgBcv+O0b//wDjBql7JqRpoICPELqgUAAfPop8PvvgLExcPo0Xzfy77+VXTNCSEP7809+b11UFKClBaxeDcTF8R5/QhoKBXiE1KOhQ3lQ5+gIPHoEeHoC33+v7FoRQhrCy5fAjBnA4MFAWhofSHHuHDBnDs2XSRoeBXiE1LOOHfmH+siR/F68qVP5fXk0xSIh6uviRd5r/803/PFHH/H77nr0UG69SNNFAR4hCmBszC/PLF/OL99u2QL07w88fKjsmhFC6pNIBCxZAri5AdevA7a2QEwM8PXX/P5cQpSFAjxCFERDA1iwADhyBDA1Bc6e5d/mjx1Tds0IIfXh2jXA3R2IiABKSvigin//Bfz8lF0zQijAI0Thhgzh8+R168aXKPL1BVau5GtREkIan9JS4PPPy6c/MTMD9u4Ffv4Z+N+y6YQoHQV4hDSAtm2BxERg8mQe2C1YwFfByM5Wds0IIbVx6xbg5QXMmsXvqx0yBLhyBRg3Ttk1I0QaBXiENBA9PWDbNj6qVijkU6q4uPDePUKIaistBb74gvfEnzkDGBryOS+PHAHs7JRdO0JkUYBHSAObMoX35rVpA6SkAB4e/IZsxpRdM0JIZW7eBPr1Az75BCgs5MsSXrkCvP8+LUtIVBcFeIQowRtv8Ht3Ro/mo/A+/hgYMwZ4/lzZNSOEiJWUAOvWAd27AwkJgJERHxH/55+Avb2ya0dI9SjAI0RJTE2BX3/lvXc6OsCBAzzwo9UvCFG+S5eA3r2B2bN5r52vL++1mzqVeu1I40ABHiFKJBDwCVETEvgl23v3gL59ea8BjbIlpOEVFgLz5wOurryX3dQU+OEHPrddq1bKrh0h8qMAjxAV4OLCZ8IfO5Zfsp09u3y5I0JIw/jrLz6IYtUqPqhi7Fg+efF771GvHWl8KMAjREWYmPB5tLZs4SNu4+KArl35KD1CiOI8e8YHP3l58WlQbGyA/fuBX37hvxPSGFGAR4gKEQj4PT5JSbwnITMTGDaMD8J4+VLZtSNEvTAG7N4NODryy7AAXzf62jVg1Cjl1o2Q10UBHiEqqFMnvrTZxx/zx19/ze8JunRJqdUiRG3cvs0HTgQF8RVmnJyA06eBzZv5yhSENHYU4BGionR1gfXr+SVaa2veq9CrF7BmDb8/iBBSey9fAuHhgLMzcPQoP89WrACSk4E+fZRdO0LqDwV4hKi4oUP5AuYjR/IBGHPnAv3780mSCSHy+/13oHNnYPlyoLgY8PPj59b8+XyqIkLUCQV4hDQCzZrxm763b+eTrZ4+zQdgbNlCK2AQUpOUFL728/Dh/PcWLfgclH/8AbRrp+zaEaIYCg/wNm3aBAcHB+jq6sLFxQWnTp2qNn18fDxcXFygq6uLNm3aYPPmzTJpoqKi4OTkBKFQCCcnJxw4cOC1yp02bRoEAgHWr19f6+dHSEMRCIB33wUuXwY8PYH8fH5DuJ8fkJqq7NoRonoKCoBFi/g9rYcPA1pafAqi69f5yjE09QlRZwoN8CIjIxEaGooFCxYgOTkZnp6eGDJkCFKr+G+UkpKCoUOHwtPTE8nJyZg/fz5mzJiBqKgoSZrExEQEBgYiKCgIly9fRlBQEAICAnDu3Lk6lXvw4EGcO3cOdrRaNGkkHByAEyf4wue6unw6FWdnvvA59eYRws+DyEg+OnbZMqCoCBgwgH85WrMGMDRUdg0JaQBMgXr16sWCg4Ol9jk6OrK5c+dWmn727NnM0dFRat+0adNY7969JY8DAgLY4MGDpdL4+fmxcePG1brchw8fsubNm7MrV64we3t79uWXX8r93BhjLCcnhwFgOTk5tTquNoqLi9nBgwdZcXGxwsogNVPVdrh5kzEPD8b4vzTGfH0Zu3dP2bVSLFVti6ZIFdsiOZkxL6/yc8LenrGoKMbKypRcMQVSxXZoqhqiLeSNPRTWg1dcXIykpCT4+vpK7ff19UVCQkKlxyQmJsqk9/Pzw4ULFyASiapNI85T3nLLysoQFBSETz/9FJ07d67bkyREyTp04LPvf/YZ782LjeU3kX/9NY20JU1LWhqfrLhHDyA+np8PS5bwy7GjR9PlWNL0aCkq48zMTJSWlsLa2lpqv7W1NdLT0ys9Jj09vdL0JSUlyMzMhK2tbZVpxHnKW+6aNWugpaWFGTNmyP2cioqKUFRUJHmcm5sLABCJRJIAtL6J81VU/kQ+qt4OM2bwe/E++EATp09r4OOPgT17yrB5cymcnZVdu/ql6m3RlKhCWxQUAOvXa2DdOg28eMGjuICAMqxYUQp7e/yvfkqrXoNQhXYgXEO0hbx5KyzAExNU+NrEGJPZV1P6ivvlybO6NElJSfjqq69w8eLFautS0apVq7BkyRKZ/bGxsdDX15c7n7qIi4tTaP5EPqreDmFhQJcu9ti5szP+/lsbvXoBo0ffxtixt6CjU6bs6tUrVW+LpkQZbVFaCvz1V0vs2eOIzEz++duhwzNMnnwFjo7ZuHoVuHq1waulVHROqA5FtkVBQYFc6RQW4FlaWkJTU1Omty4jI0Omd03Mxsam0vRaWlqwsLCoNo04T3nKPXXqFDIyMtCqVSvJ30tLS/HJJ59g/fr1uHfvXqX1mzdvHsLCwiSPc3Nz0bJlS/j6+sLY2Liql+K1iEQixMXFwcfHB9ra2gopg9SsMbXDsGF8pOCMGWX47TcN/PxzRyQldcBXX5XC17fxj8JoTG2h7pTRFowBf/4pQHi4Jv79l39Bb9WKYcWKUgQEGEEgcG+QeqgSOidUR0O0hfjqYU0UFuDp6OjAxcUFcXFxGPXKon5xcXHw9/ev9Bh3d3f89ttvUvtiY2Ph6uoqeaHc3d0RFxeHmTNnSqXx8PCQu9ygoCAMGjRIqhw/Pz8EBQXhvffeq/I5CYVCCIVCmf3a2toKP6kaogxSs8bSDq1bA4cOAVFRfLmzu3cFGDZMC2+9BXz5JdC8ubJr+PoaS1s0BQ3VFhcu8C8vJ07wx6amwLx5wEcfCaCnp/ALUiqPzgnVoci2kDdfhZ4RYWFhCAoKgqurK9zd3bFlyxakpqYiODgYAO8Re/ToEXbt2gUACA4OxoYNGxAWFoapU6ciMTER27Ztw969eyV5fvzxx+jXrx/WrFkDf39/HDp0CEePHsXp06flLtfCwkLSIyimra0NGxsbdOzYUZEvCSENRiAAxo7l620uXswHXvzyC5/cdelSYPp0gP4XkMbg2jU+n514xiyhEPjoIx7cmZsrt26EqCqFBniBgYHIysrC0qVLkZaWBmdnZ0RHR8P+f3e+pqWlSc1N5+DggOjoaMycORMbN26EnZ0dvv76a4wZM0aSxsPDA/v27cPChQsRHh6Otm3bIjIyEm5ubnKXS0hTYmzMe+0mTQJCQoDERH6v3vff87VufXyUXUNCKvfff0BEBLBnD1BWxr+0TJjA57ajj3NCqqfwPu2QkBCEhIRU+rcdO3bI7PPy8sLFixerzXPs2LEYO3ZsncutTFX33RGiLrp350uc/fAD7/m4do337vn7A59/DrRtq+waEsI9eACsWAFs2waUlPB9o0bxnmd1GxVOiKLQWrSENCEaGsD77wO3bvF78zQ1+b16Tk486JPz3l1CFOL+fSA4mH/Z+O47Htz5+QHnz/O1mCm4I0R+FOAR0gSZmfHLs//8wy/RFhcDq1fzhdc3blT/ecOIarl3D/i//wPat+eBnUgE9O/PJyyOiQFcXZVdQ0IaHwrwCGnCnJyAP//kvXgdOgBPn/LBF87OwIEDtLYtUazr14F33+WB3datPLAbMIAHdidOAP36KbuGhDReFOAR0sQJBMCIEcCVK7z3rlkzfgl39GjA05MvhUZIfTp/nr+/OncGdu7kl2J9fIBTp4BjxyiwI6Q+UIBHCAHAp0wJCQHu3AEWLAD09IAzZwAvr/L7oAipK8b45dZBg4Bevcp7iEeNAs6d4+so9+2r7FoSoj4owCOESDE2BpYvB27f5je8a2nxf769egEjRwL//qvsGpLGpLCQj4Z1dgaGDOE9dFpafNqea9f44IlevZRdS0LUDwV4hBAJxhgS7mbiZXEpmjcHvv2WX66dNImPwD10COjalV9eq2E2I9LEPXnCpzWxt+cjt69dA4yMgJkzgbt3gR07gE6dlF1LQtQXBXiEEImUzBcYv/Ucui2Jxbgtifjm2G0808jG99vKcOUK8NZb/J69AwcAFxfgzTf5xMmEAPyS69mzfDLili35CioZGfz3zz7j89t98QXwyjLghBAFocX7CCESZ+5mAQCKS8tw9r9nOPvfM3wedwuGQi24OZjDb4Yl3v3YEj9tNsTenwSIjgaiowFvb+DTT4HBg3kASJqWggJ+qXXjRiApqXx/7958vsUxY2hZPEIaGgV4hBCJhDuZle7PLyrBsRsZOHYjAwBg2VGIiZstkH7JAif2WeLECX2cOMFHRX7yCTB+PF8vlKi3y5eBLVu6YNIkLeTk8H1CIfD228CHH9L8dYQoEwV4hBCJQlEpNARAWQ3z32XmF+FE/mPA6DFspgIGTB9Z1yyQcscS739ogfnzhZg+HZg6FbCyapi6k4aRmwv8/DOwZQtw/rw2gDYAAAcHPlnx++8DlpbKrSMhhAI8Qsgrtr/XC7mFIpz77xnO3MlEwt1M3HqSX+NxLwQF0O1cAN3ODwAAxU+M8fkxC6zZZYk3e5njow+04O5Ol28bq9JSIC4O2LWL339ZWMj3a2sz9Oz5GOHh1vD11YIG3dVNiMqgAI8QIsVYVxs+TtbwcbIGAGTkFSLxbhbO3MnEmTtZePT8ZY156FjnQsc6F0AKEkoFOLHJFKZfWGKspwVmTjSDhRlFAqqOMSA5Gdi7F9izB0hLK/+boyMweTIwfnwJLly4gIEDhzZIcBcREYGDBw/i0qVLii+MkEaOPmUJIdWyMtKFf/fmWDu2G07P8cbJWf2xYpQz3uxiCzP9mu+cF2gy6LbIRmG729iddhY9lsfijdC/MfuHu/jnQQ7KaroerCYYY4iIiICdnR309PTQv39/XL16tcbjoqKi4OTkBKFQCCcnJxw4cEAmzaZNm+Dg4ABdXV24uLjg1KlTtS67qKgIH330EczMLKGjYwAjoxFwcXmIzz7jwZ2FBfDOO7fQr58/nj61xLJlxnjrLS/8SxMjEqKSKMAjhMhNIBCgtaUB3nGzx8Z3eiBpoQ+OzOiLBUM7oX/HZtDX0aw5D+1SZOs+xc+3bmDExtPoND8OE75Nwu6z95GS+QJMTRfAXbt2Lb744gts2LAB58+fh42NDXx8fJCXl1flMYmJiQgMDERQUBAuX76MoKAgBAQE4Ny5c5I0kZGRCA0NxYIFC5CcnAxPT08MGTIEqampcpXNGB/56uERis2bD+D5830QiU7jxYt8CATDMGZMKQ4cAB4/Bs6dexOGhiU4fvw4kpKS0K1bNyxfvhzp6elyvw7FxcV1ewEJIbUiYOr6adoAcnNzYWJigpycHBgbGyukDJFIhOjoaAwdOhTaNM+A0lA7yKe4pAyXHz7n9+/dyULyg2yISmv3EWNlqIt+HS3Rp50F+rS1hJWxrtTfG2NbMMZgZ2eH0NBQzJkzBwDvMbO2tsaaNWswbdq0So8LDAxEbm4u/vjjD8m+wYMHw8zMDHv37gUAuLm5oUePHvj2228laTp16oSRI0di1apVlZadl1cEW1tr9Oq1BnfuTMODBzkAmgH4ETo6gRg8GPD1fYwZM1oiOjoafn5+yMzMRLNmzfDXX3/B09MTAPDs2TNYWFggJiYGfn5+lT6H1q1b4/3338edO3dw4MABjBw5Ejt37sScOXNw4MABPHz4EDY2NnjnnXewaNEiqTZdvXo1vvzySxQUFCAgIADNmjVDTEwMXaKtoDGeE+qqIdpC3tiDevAIIfVGR0sDPVubI3RQB/wc7I5Li3yx/b2emOrpACdb+b4EZeQX4tekh5gZeRm9Vh7DoC/isfjQFfx5NR05L0UKfgbVi46OluuyakUpKSlIT0+Hr6+vZJ9QKISXlxcSEhKqPC4xMVHqGADw8/OTHFNcXIykpCSZNL6+vpI04rKdnX3x3Xd8uTk7OyFevPDCiRMJePAA0NVNAiDCd9/54skTvmLJhx/awdnZWZKPhYUFOnXqhF27duHFixcoKSnB1q1bYWpqih49elT7/NetWwdnZ2ckJSUhPDwcAGBkZIQdO3bg2rVr+Oqrr7B161Z8+eWXkmN+/vlnLF68GCtWrMCFCxdga2uLTZs2Vf9CE0IkaJAFIURhDIRa8O5oBe+OfK6UZy+K+YCNu5lIuJOJe1kFNeZxJyMfdzLysTPxPjQEgLOdMayYBkzuZqF322bQ1a75snB9YIzB398fJSUl6OvZDzM+mo6RI0fK9S1dfAnT2tpaar+1tTXu379f7XGVHSPOLzMzE6WlpZWmefQoHVFRwE8/8bTDhkmn0dOzhrn5fWzeDGRmpmPaNB383/+ZVVmWQCBAXFwc/P39YWRkBA0NDVhbW2PRokUwNTWt9vkPGDAAs2bNktq3cOFCye+tW7fGJ598gsjISMyePRsAsH79ekyePBnvv/8+AGD58uU4evQoCsVDeAkh1aIAjxAihTGGgoKaA6+6EALo39YY/dsaA75t8Pj5SyT+l4Vzd7OQmJKFzLzq788qA3Aphf+Dj91yBjpaGujRyhS921igdxtzdLYzgZam4i5MCPX0oW3VERfvP+OXDK2sMWXye5g8eTLs7OwA8HviZsyYITnmjz/+gKYmD0IFFeaJYYzJ7KtInmMEAgEePQISEoAzZ4DISIb0dAHGjpVO4+EBDBnCt02bGB4+FGDYMOCnnyov+9WyGGMICQmBlZUVTp06BT09PWzZsgUrVqzAmDFj0Kqa9cdcK5nx+Ndff8X69etx584d5Ofno6SkROpy0/Xr1xEcHCx1jLu7O06cOFFlOYSQchTgEUKkFBQUwNDQUNnVkNtdAL80VGEaWjBuZg8zr3dR/PQe8pKjseazL7B69WqpZJcvX4a+vj4AoHnz5kj73xwj6enpsLW1laTLyMiQ6X17lY2NjcwAhoyMDFhZWePUKeDvvy0hEGhixIh0ZEotQpIBwBpOToCLiw1+/BE4cSIdXl7lZT99Wl62jY0NiouLkZ2dDTMzM6myPDw8AADHjx/H77//juzsbEkg9s033+Dw4cP48ccfsWDBgiqfh4GBgdTjs2fPYty4cViyZAn8/PxgYmKCffv24fPPP68yD0JI7dA9eIQQIjeGspd84medZq1hPnAq9Nr2lEnVtm1btGvXDu3atYOenh4cHBxgY2ODuLg4SZri4mLEx8dLAqjK9O7tjkOH4vDbb8Dq1cC4ccDChbF48MAD/foBs2bpgDEXZGbGQUMD6N4dCAkBmjePw/TpHrh6Fdi5k5d97lzVZbu4uEBbW1uqfmlpabhy5YokjbhXV6PChHcCgQBlZWW1ehXPnDkDe3t7LFiwAK6urmjfvr3MpepOnTrh7NmzUvsqPiaEVI168AghUvT19ZGfX/PqFQ2tUFSK5NRsJNx5ithL9/DwhaDGJdUq0i/VQ2sDC7i2ssSALubo1EYHtRkAP3zECJx7mAsAKC3Mx7ODK1H8+Aa2b9+Ot956q7yc//XeiQkEAoSGhmLlypVo37492rdvj5UrV0JfXx8BAeORkgKkpAALFkyEQNAc9varcOMGcO3axygu7of4+DUA/AEcAnAUwGm0aAG88QagpxeG/fuD8NVXrvD2dseWLVvw/HkqZs0KrrHs8ePHAwBMTEwwZcoUfPLJJ7CwsIC5uTlmzZqFLl26YNCgQQD45VEzMzNMmjQJixYtgp6eHr777jtkZGRgyJAhtWqHdu3aITU1Ffv27UPPnj1x5MgRmfn9Pv74Y0yaNAmurq7o27cv9uzZg6tXr6JNmza1KouQpkrhAd6mTZuwbt06pKWloXPnzli/fr1kiH1l4uPjERYWhqtXr8LOzg6zZ8+WuQ8jKioK4eHhuHv3Ltq2bYsVK1Zg1KhRtSr33Xffxc6dO6WOcXNzo2+IpMkTCAQyl9RUgQGAQabG8Opkh26aj9DX2wcXHuQi4U4mztzNwp2MmoPSQjDcKMvEjXuZ2H2PL6lWlmYB0yJLtNIzR3NrLVhY8LVUxT9NTAB9/f9telZgxdchep6OrKglEIry8fOBo/Dw8ERBAV/C69UtNxfIzgaePwcEgtno0uUl3nknBEVF2dDTc4OubiwsLIxQPllVKgANJCaKH3tAS2sfNDUXQiQKh4VFWwQHR+Kjj9zQrJk4TSA2bcrC2rVLMXNmGpydnREdHQ17e3vJ8549ezZevnyJkJAQZGdnw83NDbGxsTAyMpKk+fLLL6GlpYWAgAC8fPkSAwcOxI4dOyT3D1paWiImJgYLFizAgAEDIBKJ4OTkhHnz5qFbt261akt/f3/MnDkT06dPR1FREd58802Eh4cjIiJCkiYwMBB3797FnDlzUFhYiDFjxuCDDz7An3/+WauyCGmqFDoPXmRkJIKCgrBp0yb06dMH3333Hb7//ntcu3at0htyU1JS4OzsjKlTp2LatGk4c+YMQkJCsHfvXowZMwYAnzbA09MTy5Ytw6hRo3DgwAEsWrQIp0+fhpubm9zlvvvuu3jy5Am2b98uKV9HRwfm5uZyPz+aB6/poHZQHVW1xZPcQiTc5cupJdzJxOOc2o22ZKUCFD02ReF9SxTes0RRmilQVvEulg+hob8PKGMoKzID2B8AOrz2cxIKgdatAQcHoE0b/rNjR8DJie/XbJiBwrVG54VqoHZQHao0D55Ce/C++OILTJkyRTLMff369fjzzz/x7bffYtWqVTLpN2/ejFatWmH9+vUA+D0YFy5cwGeffSYJ8NavXw8fHx/MmzcPADBv3jzEx8dj/fr1kok/5S1XKBTCxsZGYc+fENJwrI11MeqNFhj1RgswxnAvq4BPuHw3Ewl3s/C8oPo59ASaDLots6HbMhvoexsaZZrQfm4OpFtC9NACL9OM8eyZOYoLngGC3gA7DD45cDmhENDV5ZtQCBgbA6amgJkZ/2lqClhZAba20puVFRpkLVdCSNOhsABPPAHn3Llzpfa/OgFnRVVN6rlt2zaIRCJoa2sjMTERM2fOlEkjDgprU+7JkydhZWUFU1NTeHl5YcWKFbCysqryORUVFaGoqEjyODeX34sjEokgEilmAlZxvorKn8iH2kF1yNsWLUx0EOhih0AXO5SVMVxPz0PCf1lIvPsMF+5n46Wo+oEBZRqlKDJ/Cpg/BZwAG31teGp1RtGtD7F80UK0tzMBIAJjAGO8l62uQVppKd8aGzovVAO1g+poiLaQN2+FBXjVTcBZ1bqFVU3qWVJSgszMTNja2r7WxJ+vljtkyBC89dZbsLe3R0pKCsLDwzFgwAAkJSVBKBRWWr9Vq1ZhyZIlMvtjY2Nlbqqub6+ObiPKQ+2gOurSFs0BjG0GjLQA7uUDt3I0cCtHgPv5QBmrfj667AIR/oYRYDMEw7ckwUyHoYNJ+WasU8cnogbovFAN1A6qQ5FtIe88pQofZFHbiT0rS19xv7wTf1aXJjAwUPK7s7MzXF1dYW9vjyNHjmD06NGV1m3evHkICwuTPM7NzUXLli3h6+ur0Hvw4uLi4OPjQ/dWKBG1g+pQRFvkF5Xgwv1sJN59hoS7WbjxpOYBG9nFApx7KsC5p/xxeysDuLexgEcbc/RyMIORrvq/T+i8UA3UDqqjIdpCfPWwJgoL8CwtLaGpqVnpJJ1VTexZ1aSeWlpasLCwqDaNOM+6lAsAtra2sLe3x+3bt6tMIxQKK+3d09bWVvhJ1RBlkJpRO6iO+mwLM21t+HTWg09nvhpFZn4REu9mSQZtpD6r+Rvz7YwXuJ3xArvOpkJTQwA3B3Psed+txpUq1AGdF6qB2kF1KLIt5M1XYbf16ujowMXFRaabMi4ursqJPd3d3WXSx8bGwtXVVfKEqkojzrMu5QJAVlYWHjx4IDXLPCGkabI0FGJ4NzusGt0Vf832xqnZ3lgzpgtGdLODpWHN12JLyxg0NQRNIrgjhKgmhV6iDQsLQ1BQEFxdXeHuzifgTE1NlcxrN2/ePDx69Ai7du0CAAQHB2PDhg0ICwvD1KlTkZiYiG3btklGxwJ88st+/fphzZo18Pf3x6FDh3D06FGcPn1a7nLz8/MRERGBMWPGwNbWFvfu3cP8+fNhaWkpM58eIYS0NNdHoHkrBPZsBcYYbj3Jl4zQPfvfM+QXlcgc06edpRJqSgghnEIDvMDAQGRlZWHp0qVIS5OdgDMtLQ2pqamS9A4ODoiOjsbMmTOxceNG2NnZ4euvv5ZMkQIAHh4e2LdvHxYuXIjw8HC0bdsWkZGRkjnw5ClXU1MT//77L3bt2oXnz5/D1tYW3t7eiIyMlJr4kxBCKhIIBOhoY4SONkaY3NcBJaVluPww538TLmfi4v3nKC4tQ5+2FOARQpRH4YMsQkJCEBISUunfduzYIbPPy8sLFy9erDbPsWPHYuzYsXUuV09Pj2ZDJ4TUCy1NDbjYm8HF3gwfDWyPl8WluHD/GZzsFDPwihBC5EFr0RJCSD3S09GEZ/tmNSckhBAFornTCSGEEELUDAV4hBBCCCFqhgI8QgghhBA1QwEeIYQQQoiaoQCPEEIIIUTNUIBHCCGEEKJmKMAjhBBCCFEzFOARQgghhKgZCvAIIYQQQtQMBXiEEEIIIWqGAjxCCCGEEDVDAR4hhBBCiJqhAI8QQgghRM1QgEcIIYQQomYowCOEEEIIUTMU4BFCCCGEqBkK8AghhBBC1AwFeIQQQgghaoYCPEIIIYQQNUMBHiGEEEKImlF4gLdp0yY4ODhAV1cXLi4uOHXqVLXp4+Pj4eLiAl1dXbRp0wabN2+WSRMVFQUnJycIhUI4OTnhwIEDdSr3+vXrGDFiBExMTGBkZITevXsjNTW17k+WEEIIIUQFKDTAi4yMRGhoKBYsWIDk5GR4enpiyJAhVQZRKSkpGDp0KDw9PZGcnIz58+djxowZiIqKkqRJTExEYGAggoKCcPnyZQQFBSEgIADnzp2rVbl3795F37594ejoiJMnT+Ly5csIDw+Hrq6u4l4QQgghhJCGwBSoV69eLDg4WGqfo6Mjmzt3bqXpZ8+ezRwdHaX2TZs2jfXu3VvyOCAggA0ePFgqjZ+fHxs3blytyg0MDGQTJkyo3ROqICcnhwFgOTk5r5VPdYqLi9nBgwdZcXGxwsogNaN2UB3UFqqD2kI1UDuojoZoC3ljDy1FBY7FxcVISkrC3Llzpfb7+voiISGh0mMSExPh6+srtc/Pzw/btm2DSCSCtrY2EhMTMXPmTJk069evl7vcsrIyHDlyBLNnz4afnx+Sk5Ph4OCAefPmYeTIkVU+p6KiIhQVFUke5+TkAACePXsGkUhU9YvxGkQiEQoKCpCVlQVtbW2FlEFqRu2gOqgtVAe1hWqgdlAdDdEWeXl5AADGWLXpFBbgZWZmorS0FNbW1lL7ra2tkZ6eXukx6enplaYvKSlBZmYmbG1tq0wjzlOecjMyMpCfn4/Vq1dj+fLlWLNmDWJiYjB69GicOHECXl5eldZv1apVWLJkicx+BweHal4JQgghhJD6lZeXBxMTkyr/rrAAT0wgEEg9ZozJ7KspfcX98uRZXZqysjIAgL+/v6Q3sHv37khISMDmzZurDPDmzZuHsLAwyeOysjI8e/YMFhYW1T6n15Gbm4uWLVviwYMHMDY2VkgZpGbUDqqD2kJ1UFuoBmoH1dEQbcEYQ15eHuzs7KpNp7AAz9LSEpqamjK9dRkZGTK9a2I2NjaVptfS0oKFhUW1acR5ylOupaUltLS04OTkJJWmU6dOOH36dJXPSSgUQigUSu0zNTWtMn19MjY2phNXBVA7qA5qC9VBbaEaqB1Uh6LborqeOzGFjaLV0dGBi4sL4uLipPbHxcXBw8Oj0mPc3d1l0sfGxsLV1VVyLbuqNOI85SlXR0cHPXv2xM2bN6XS3Lp1C/b29rV8poQQQgghqkWhl2jDwsIQFBQEV1dXuLu7Y8uWLUhNTUVwcDAAfsnz0aNH2LVrFwAgODgYGzZsQFhYGKZOnYrExERs27YNe/fuleT58ccfo1+/flizZg38/f1x6NAhHD16VKrnraZyAeDTTz9FYGAg+vXrB29vb8TExOC3337DyZMnFfmSEEIIIYQonsLG8f7Pxo0bmb29PdPR0WE9evRg8fHxkr9NmjSJeXl5SaU/efIke+ONN5iOjg5r3bo1+/bbb2Xy/OWXX1jHjh2ZtrY2c3R0ZFFRUbUqV2zbtm2sXbt2TFdXl3Xr1o0dPHjw9Z9wPSssLGSLFy9mhYWFyq5Kk0btoDqoLVQHtYVqoHZQHarUFgLGahhnSwghhBBCGhVai5YQQgghRM1QgEcIIYQQomYowCOEEEIIUTMU4BFCCCGEqBkK8FTYpk2b4ODgAF1dXbi4uODUqVPKrlKT9Ndff2H48OGws7ODQCDAwYMHlV2lJmnVqlXo2bMnjIyMYGVlhZEjR8rMZUkU79tvv0XXrl0lE7m6u7vjjz/+UHa1CPg5IhAIEBoaquyqNDkREREQCARSm42NjVLrRAGeioqMjERoaCgWLFiA5ORkeHp6YsiQIUhNTVV21ZqcFy9eoFu3btiwYYOyq9KkxcfH48MPP8TZs2cRFxeHkpIS+Pr64sWLF8quWpPSokULrF69GhcuXMCFCxcwYMAA+Pv74+rVq8quWpN2/vx5bNmyBV27dlV2VZqszp07Iy0tTbL9+++/Sq0PTZOiotzc3NCjRw98++23kn2dOnXCyJEjsWrVKiXWrGkTCAQ4cOAARo4cqeyqNHlPnz6FlZUV4uPj0a9fP2VXp0kzNzfHunXrMGXKFGVXpUnKz89Hjx49sGnTJixfvhzdu3fH+vXrlV2tJiUiIgIHDx7EpUuXlF0VCerBU0HFxcVISkqCr6+v1H5fX18kJCQoqVaEqJacnBwAPLggylFaWop9+/bhxYsXcHd3V3Z1mqwPP/wQb775JgYNGqTsqjRpt2/fhp2dHRwcHDBu3Dj8999/Sq2PQpcqI3WTmZmJ0tJSWFtbS+23trZGenq6kmpFiOpgjCEsLAx9+/aFs7OzsqvT5Pz7779wd3dHYWEhDA0NceDAATg5OSm7Wk3Svn37cPHiRZw/f17ZVWnS3NzcsGvXLnTo0AFPnjzB8uXL4eHhgatXr8LCwkIpdaIAT4UJBAKpx4wxmX2ENEXTp0/HP//8I7UGNWk4HTt2xKVLl/D8+XNERUVh0qRJiI+PpyCvgT148AAff/wxYmNjoaurq+zqNGlDhgyR/N6lSxe4u7ujbdu22LlzJ8LCwpRSJwrwVJClpSU0NTVleusyMjJkevUIaWo++ugjHD58GH/99RdatGih7Oo0STo6OmjXrh0AwNXVFefPn8dXX32F7777Tsk1a1qSkpKQkZEBFxcXyb7S0lL89ddf2LBhA4qKiqCpqanEGjZdBgYG6NKlC27fvq20OtA9eCpIR0cHLi4uiIuLk9ofFxcHDw8PJdWKEOVijGH69OnYv38/jh8/DgcHB2VXifwPYwxFRUXKrkaTM3DgQPz777+4dOmSZHN1dcU777yDS5cuUXCnREVFRbh+/TpsbW2VVgfqwVNRYWFhCAoKgqurK9zd3bFlyxakpqYiODhY2VVrcvLz83Hnzh3J45SUFFy6dAnm5uZo1aqVEmvWtHz44Yf46aefcOjQIRgZGUl6uE1MTKCnp6fk2jUd8+fPx5AhQ9CyZUvk5eVh3759OHnyJGJiYpRdtSbHyMhI5h5UAwMDWFhY0L2pDWzWrFkYPnw4WrVqhYyMDCxfvhy5ubmYNGmS0upEAZ6KCgwMRFZWFpYuXYq0tDQ4OzsjOjoa9vb2yq5ak3PhwgV4e3tLHovvp5g0aRJ27NihpFo1PeIpg/r37y+1f/v27Xj33XcbvkJN1JMnTxAUFIS0tDSYmJiga9euiImJgY+Pj7KrRojSPHz4EG+//TYyMzPRrFkz9O7dG2fPnlXq/2yaB48QQgghRM3QPXik0duxYwcEAgEuXLhQp+MjIyPRuXNn6OnpQSAQ4NKlS5I87927V7+VVWEVn7OyX4PK2qWhiZcfepWiXxdlv+6qLCEhAREREXj+/HmjyFdZjh8/jsmTJ8PR0REGBgZo3rw5/P39kZSUJHce+fn5CA0NhZ2dHXR1ddG9e3fs27dPgbUm9Y0CPNKkPX36FEFBQWjbti1iYmKQmJiIDh06KLtaKuHNN99EYmKiUm4SVuV2Uebr0tQlJCRgyZIlCgnwFJGvsnz77be4d+8ePv74Y0RHR+Orr75CRkYGevfujePHj8uVx+jRo7Fz504sXrwYf/zxB3r27Im3334bP/30k4JrT+oL3YNHmrRbt25BJBJhwoQJ8PLyUnZ1VEqzZs3QrFkzpZStiHYpKCiAvr7+a+ejzNeFEHls3LgRVlZWUvsGDx6Mdu3aYeXKlRgwYEC1x0dHRyMuLg4//fQT3n77bQCAt7c37t+/j08//RSBgYE0QrcRoB48onbEl9WuXr2Kt99+GyYmJrC2tsbkyZMly1sBwLvvvou+ffsC4INaBAKBzA38r6Zt3bp1lWVVdPv2bYwfPx5WVlYQCoXo1KkTNm7cWKd6it24cQNvv/02rK2tIRQK0apVK0ycOFFqegp5ypVXZZcKa1PnutalpnY5ffo0Bg4cCCMjI+jr68PDwwNHjhyRykNcz4sXL2Ls2LEwMzND27Ztqy33yJEj6N69O4RCIRwcHPDZZ5/J9bo8ffoU//d//4eWLVtCKBSiWbNm6NOnD44ePSpTn+TkZIwePRrGxsYwMTHBhAkT8PTp02rrdefOHbz33nto37499PX10bx5cwwfPrzShczleY8AtXt//vPPP3jrrbdgYmICc3NzhIWFoaSkBDdv3sTgwYNhZGSE1q1bY+3atTL1qc/zICIiAp9++ikAwMHBAQKBAAKBACdPnnyt164u+aalpcHQ0BDjxo2T2v/7779DW1sbCxYsqPLYhlAxuAMAQ0NDODk54cGDBzUef+DAARgaGuKtt96S2v/ee+/h8ePHOHfuXL3VlSgO9eARtTVmzBgEBgZiypQp+PfffzFv3jwAwA8//AAACA8PR69evfDhhx9i5cqV8Pb2hrGx8WuXe+3aNXh4eKBVq1b4/PPPYWNjgz///BMzZsxAZmYmFi9eXKt6AsDly5fRt29fWFpaYunSpWjfvj3S0tJw+PBhFBcXQygU1rrc11FTnV+nLtW1S3x8PHx8fNC1a1ds27YNQqEQmzZtwvDhw7F3714EBgZK5TV69GiMGzcOwcHBePHiRZVlHjt2DP7+/nB3d8e+fftQWlqKtWvX4smTJzW+FkFBQbh48SJWrFiBDh064Pnz57h48SKysrJk0o4aNQoBAQEIDg7G1atXER4ejmvXruHcuXPQ1tauNP/Hjx/DwsICq1evRrNmzfDs2TPs3LkTbm5uSE5ORseOHQHI9x4Bat82AQEBmDBhAqZNm4a4uDisXbsWIpEIR48eRUhICGbNmoWffvoJc+bMQbt27TB69Og6lVPTe+r999/Hs2fP8M0332D//v2SS+TVrZ4hz2tXl3xtbW0xe/ZsSXDo4uKCkydP4q233sIHH3yAFStWVHlsTRhjKC0tlSutlpb8/8JzcnJw8eLFGnvvAODKlSvo1KmTTP5du3aV/J3mZG0EGCGN3Pbt2xkAdv78ecYYY4sXL2YA2Nq1a6XShYSEMF1dXVZWVibZd+LECQaA/fLLL5XmmZKSwhhjbNKkScze3l6mbHFZr/Lz82MtWrRgOTk5UvunT5/OdHV12bNnz2pdzwEDBjBTU1OWkZFR5esgb7lVqficKz6uTZ1fty5VtUvv3r2ZlZUVy8vLk+wrKSlhzs7OrEWLFpLyxfVctGhRteWIubm5MTs7O/by5UvJvtzcXGZubi7TvhVfF0NDQxYaGlpt/uL6zJw5U2r/nj17GAC2e/fuKvOvqKSkhBUXF7P27dtL5SfPe4Sx2r8/P//8c6l03bt3ZwDY/v37JftEIhFr1qwZGz16dJ3Lkec8WLduXbWvTU2qeu3qku+LFy+YnZ0dGzhwIPv777+ZkZERe++996TqWxfi9748W23q+8477zAtLS124cKFGtO2b9+e+fn5yex//PgxA8BWrlxZm6dElIQu0RK1NWLECKnHXbt2RWFhITIyMhRWZmFhIY4dO4ZRo0ZBX18fJSUlkm3o0KEoLCzE2bNna1XPgoICxMfHIyAgoMp7v+pS7uuors6KqsuLFy9w7tw5jB07FoaGhpL9mpqaCAoKwsOHD3Hz5k2pY8aMGSNXvufPn8fo0aOl1vM0MjLC8OHDazy+V69e2LFjB5YvX46zZ89CJBJVmfadd96RehwQEAAtLS2cOHGiymNKSkqwcuVKODk5QUdHB1paWtDR0cHt27dx/fp1APK9R4C6vU+GDRsm9bhTp04QCARSa29qaWmhXbt2uH//fp3LUcT5Ks9rV1f6+vpYvnw5jh07Bm9vbwwZMgRbt2597fXCXVxccP78ebk2Ozs7ufIMDw/Hnj178OWXX0ota1ad6p4HrYneONAlWqK2LCwspB6LL1G9fPlSYWVmZWWhpKQE33zzDb755ptK02RmZko9rqme2dnZKC0trXbd1bqU+zqqq7P4H3l91yU7OxuMsUpHr4r/0VW8LCrPSNfs7GyUlZXBxsZG5m+V7asoMjISy5cvx/fff4/w8HAYGhpi1KhRWLt2rczxFR9raWnBwsKi0su5YmFhYdi4cSPmzJkDLy8vmJmZQUNDA++//36t3iNA3d4n5ubmUo91dHSgr68vs7i9jo4OcnNz61yOIs5XeV671yEe2S0QCLBjxw6ZgQfa2tp49uwZjIyM8Omnn2LHjh2Sey6HDRuGiRMnIiAgQOoYQ0NDdO/eXa7y5blEu2TJEixfvhwrVqzA9OnT5cq3qvfks2fPAMi+J4hqogCPEDno6upWutZmxX9SZmZmkh6lDz/8sNK8aruGqrm5OTQ1NfHw4cMq0yii3LpSVF3E/5zT0tJk/vb48WMAgKWlpdR+eXoazMzMIBAIJEufvaqyfRVZWlpi/fr1WL9+PVJTU3H48GHMnTsXGRkZMst3paeno3nz5pLHJSUlyMrKkgluXrV7925MnDgRK1eulNqfmZkJU1NTAPK9R4CGe5+oyvtRnteuri5duoRhw4ahT58+OHPmDH744QeZ52psbIy8vDxoaWnh4MGDkvssHzx4gMuXL2PUqFEy+cbHx0utnFOdlJSUSgd/iS1ZsgQRERGIiIjA/Pnz5X5uXbp0wd69e1FSUiIVRIoHp9AyaI0DBXiEyKF169bIyMjAkydPYG1tDQAoLi7Gn3/+KZVOX18f3t7eSE5ORteuXaGjo/PaZevp6cHLywu//PILVqxYIRPEKKrculJUXQwMDODm5ob9+/fjs88+k6w/W1ZWht27d6NFixZ1mivPwMAAvXr1wv79+7Fu3TpJz1ReXh5+++23WuXVqlUrTJ8+HceOHcOZM2dk/r5nzx6pS2Q///wzSkpKqhy9DfAgVdybJXbkyBE8evQI7dq1AyDfewRouPeJosqpba+ePK9dXfK9efMm/Pz84O7ujkOHDuGtt95CREQEJkyYABMTE0k6U1NT5Ofn448//oC/vz+OHDmCgoICbN26FVOmTKl0YI34Eq08qrtEu2zZMkRERGDhwoW1HmA1atQobN26FVFRUVIDl3bu3Ak7Ozu4ubnVKj+iHBTgESKHwMBALFq0COPGjcOnn36KwsJCfP3115WOdvvqq6/Qt29feHp64oMPPkDr1q2Rl5eHO3fu4LfffpN7otFXffHFF+jbty/c3Nwwd+5ctGvXDk+ePMHhw4fx3XffwcjISCHl1pWi6rJq1Sr4+PjA29sbs2bNgo6ODjZt2oQrV65g7969db43aNmyZRg8eDB8fHzwySefoLS0FGvWrIGBgYHkslRlcnJy4O3tjfHjx8PR0RFGRkY4f/48YmJiJKNJX7V//35oaWnBx8dHMoq2W7duMpfpXjVs2DDs2LEDjo6O6Nq1K5KSkrBu3TqZy7HyvEcAxbVNRYoop0uXLpK8J02aBG1tbXTs2FHy3CqS97WrTb737t3DoEGD0LFjR0RFRUFbWxurV6+Gs7MzVq5ciTVr1kjSigO8b7/9Fj///DNOnTqFrKws7Nq1CwkJCZXW2cjICK6urrV+bV71+eefY9GiRRg8eDDefPNNmfsde/fuLfk9Pj4eAwcOxKJFi7Bo0SIAwJAhQ+Dj44MPPvgAubm5aNeuHfbu3YuYmBjs3r2b5sBrJCjAI0QODg4OOHToEObPn4+xY8fC1tYWYWFhePr0KZYsWSKV1snJCRcvXsSyZcuwcOFCZGRkwNTUFO3bt8fQoUPrVH63bt3w999/Y/HixZg3bx7y8vJgY2ODAQMGSHpHFFFuXSmqLl5eXjh+/DgWL16Md999F2VlZejWrRsOHz4sMxigNnx8fHDw4EEsXLgQgYGBsLGxQUhICF6+fCnTvq/S1dWFm5sbfvzxR9y7dw8ikQitWrXCnDlzMHv2bJn0+/fvR0REBL799lsIBAIMHz4c69evr7aH66uvvoK2tjZWrVqF/Px89OjRA/v378fChQul0snzHgEa7n2iiHL69++PefPmYefOndi6dSvKyspw4sSJKntA5X3t5M03LS0NgwYNgpWVFX7//XdJL7KjoyMmT56Mr776ShLMAjzA+/PPP2FjY4M2bdrA2NgYP/74I3r16iX3AIm6EPc8x8TEyNwmAPCpWF79vbS0FGVlZVJp9u/fjwULFmDRokV49uwZHB0dsXfvXpm5/4jqErBXW5oQQki9i4iIwJIlS/D06dMqL58S9TNmzBicOXMG27dvx5AhQySPIyMjaeUconA0TQohhBCiAGZmZjA0NMTgwYMB8EEXFhYWFNyRBkGXaAkhhBAF+P7776Ueb9++XUk1IU0RXaIlhBBCCFEzdImWEEIIIUTNUIBHCCGEEKJmKMAjhBBCCFEzNMjiNZSVleHx48cwMjKixZcJIYQQonCMMeTl5cHOzg4aGlX301GA9xoeP36Mli1bKrsahBBCCGliHjx4ILMqy6sowHsN4mVsHjx4AGNjY4WUIRKJEBsbC19f30rXLSQNg9pBdVBbqA5qC9VA7aA6GqItcnNz0bJlyyqX6BOjAO81iC/LGhsbKzTA09fXh7GxMZ24SkTtoDqoLVQHtYVqoHZQHQ3ZFjXdGkaDLAghhBBC1AwFeIQQQgghaoYCPEIIIYQQNUMBHiGEEEKImqEAjxBCCCFEzSg0wMvOzkZQUBBMTExgYmKCoKAgPH/+vNpjGGOIiIiAnZ0d9PT00L9/f1y9elUqTVFRET766CNYWlrCwMAAI0aMwMOHD+tcdlZWFlq0aAGBQFBj/QghhBBCVJ1CA7zx48fj0qVLiImJQUxMDC5duoSgoKBqj1m7di2++OILbNiwAefPn4eNjQ18fHyQl5cnSRMaGooDBw5g3759OH36NPLz8zFs2DCUlpbWqewpU6aga9eu9fOkCSGEEEKUTGHz4F2/fh0xMTE4e/Ys3NzcAABbt26Fu7s7bt68iY4dO8ocwxjD+vXrsWDBAowePRoAsHPnTlhbW+Onn37CtGnTkJOTg23btuHHH3/EoEGDAAC7d+9Gy5YtcfToUfj5+dWq7G+//RbPnz/HokWL8Mcffyjq5SCEEEIIaTAKC/ASExNhYmIiCbAAoHfv3jAxMUFCQkKlAV5KSgrS09Ph6+sr2ScUCuHl5YWEhARMmzYNSUlJEIlEUmns7Ozg7OyMhIQE+Pn5yV32tWvXsHTpUpw7dw7//fdfjc+pqKgIRUVFkse5ubkA+MSGIpGoFq+O/MT5Kip/Ih9qB9VBbaE6qC1UA7WD6miItpA3b4UFeOnp6bCyspLZb2VlhfT09CqPAQBra2up/dbW1rh//74kjY6ODszMzGTSiI+Xp+yioiK8/fbbWLduHVq1aiVXgLdq1SosWbJEZn9sbCz09fVrPP51xMXFKTR/Ih9qB9VBbaE6qC1UA7WD6lBkWxQUFMiVrtYBXkRERKVBzqvOnz8PoPJlNBhjNS6vUfHv8hxTMU1NZc+bNw+dOnXChAkTqs33VfPmzUNYWJjksXg9OF9fX4UuVRYXFwcfHx9agkaJqB1UB7WF6qC2UA3UDqqjIdpCfPWwJrUO8KZPn45x48ZVm6Z169b4559/8OTJE5m/PX36VKaHTszGxgYA74GztbWV7M/IyJAcY2Njg+LiYmRnZ0v14mVkZMDDw0OSpqayjx8/jn///Re//vorAB78AYClpSUWLFhQaRArFAohFApl9mtrayv8pGqIMkjNqB1UB7WF6qC2UA3UDqpDkW0hb761DvAsLS1haWlZYzp3d3fk5OTg77//Rq9evQAA586dQ05OjiQQq8jBwQE2NjaIi4vDG2+8AQAoLi5GfHw81qxZAwBwcXGBtrY24uLiEBAQAABIS0vDlStXsHbtWrnLjoqKwsuXLyVlnz9/HpMnT8apU6fQtm3b2r4shBBCCCEqQ2H34HXq1AmDBw/G1KlT8d133wEA/u///g/Dhg2TGmDh6OiIVatWYdSoURAIBAgNDcXKlSvRvn17tG/fHitXroS+vj7Gjx8PADAxMcGUKVPwySefwMLCAubm5pg1axa6dOkiGVUrT9kVg7jMzEzJsaampop6WQghhBBCFE5hAR4A7NmzBzNmzJCMeB0xYgQ2bNgglebmzZvIycmRPJ49ezZevnyJkJAQZGdnw83NDbGxsTAyMpKk+fLLL6GlpYWAgAC8fPkSAwcOxI4dO6CpqVmrsgkhhBBC1JFCAzxzc3Ps3r272jTie9/EBAIBIiIiEBERUeUxurq6+Oabb/DNN9+8Vtmv6t+/v0xdCCGEEEIaI1qLlhBCCCFEzVCARwghhBCiZijAI4QQQghRMxTgEUIIIYSoGQrwCCGEEELUDAV4hBBCCCFqhgI8QgghhBA1QwEeIYQQQoiaoQCPEEIIIUTNUIBHCCGEEKJmKMAjhBBCCFEzFOARQgghhKgZCvAIIYQQQtQMBXiEEEIIIWqGAjxCCCGEEDVDAR4hhBBCiJqhAI8QQgghRM1QgEcIIYQQomYowCOEEEIIUTMU4BFCCCGEqBkK8AghhBBC1AwFeIQQQgghaoYCPEIIIYQQNUMBHiGEEEKImqEAjxBCCCFEzVCARwghhBCiZijAI4QQQghRMxTgEUIIIYSoGQrwCCGEEELUDAV4hBBCCCFqhgI8QgghhBA1QwEeIYQQQoiaoQCPEEIIIUTNUIBHCCGEEKJmKMAjhBBCCFEzCg3wsrOzERQUBBMTE5iYmCAoKAjPnz+v9hjGGCIiImBnZwc9PT30798fV69elUpTVFSEjz76CJaWljAwMMCIESPw8OHDWpV9+fJlvP3222jZsiX09PTQqVMnfPXVV/X11AkhhBBClEahAd748eNx6dIlxMTEICYmBpcuXUJQUFC1x6xduxZffPEFNmzYgPPnz8PGxgY+Pj7Iy8uTpAkNDcWBAwewb98+nD59Gvn5+Rg2bBhKS0vlLjspKQnNmjXD7t27cfXqVSxYsADz5s3Dhg0b6v+FIIQQQghpSExBrl27xgCws2fPSvYlJiYyAOzGjRuVHlNWVsZsbGzY6tWrJfsKCwuZiYkJ27x5M2OMsefPnzNtbW22b98+SZpHjx4xDQ0NFhMTU+eyGWMsJCSEeXt7y/0cc3JyGACWk5Mj9zG1VVxczA4ePMiKi4sVVgapGbWD6qC2UB3UFqqB2kF1NERbyBt7KKwHLzExESYmJnBzc5Ps6927N0xMTJCQkFDpMSkpKUhPT4evr69kn1AohJeXl+SYpKQkiEQiqTR2dnZwdnaWpKlL2QCQk5MDc3Pzuj1hQgghhBAVoaWojNPT02FlZSWz38rKCunp6VUeAwDW1tZS+62trXH//n1JGh0dHZiZmcmkER9fl7ITExPx888/48iRI1U+p6KiIhQVFUke5+bmAgBEIhFEIlGVx70Ocb6Kyp/Ih9pBdVBbqA5qC9VA7aA6GqIt5M271gFeREQElixZUm2a8+fPAwAEAoHM3xhjle5/VcW/y3NMxTS1Kfvq1avw9/fHokWL4OPjU2UZq1atqvS5x8bGQl9fv9r6va64uDiF5k/kQ+2gOqgtVAe1hWqgdlAdimyLgoICudLVOsCbPn06xo0bV22a1q1b459//sGTJ09k/vb06VOZHjoxGxsbALwHztbWVrI/IyNDcoyNjQ2Ki4uRnZ0t1YuXkZEBDw8PSRp5y7527RoGDBiAqVOnYuHChdU+r3nz5iEsLEzyODc3Fy1btoSvry+MjY2rPbauRCIR4uLi4OPjA21tbYWUQWpG7aA6qC1UB7WFaqB2UB0N0Rbiq4c1qXWAZ2lpCUtLyxrTubu7IycnB3///Td69eoFADh37hxycnIkgVhFDg4OsLGxQVxcHN544w0AQHFxMeLj47FmzRoAgIuLC7S1tREXF4eAgAAAQFpaGq5cuYK1a9fWquyrV69iwIABmDRpElasWFHjcxIKhRAKhTL7tbW1FX5SNUQZpGbUDqqD2kJ1UFuoBmoH1aHItpA3X4UNsujUqRMGDx6MqVOn4uzZszh79iymTp2KYcOGoWPHjpJ0jo6OOHDgAAB+WTU0NBQrV67EgQMHcOXKFbz77rvQ19fH+PHjAQAmJiaYMmUKPvnkExw7dgzJycmYMGECunTpgkGDBsld9tWrV+Ht7Q0fHx+EhYUhPT0d6enpePr0qaJeEkIIIYSQBqGwQRYAsGfPHsyYMUMy4nXEiBEy88zdvHkTOTk5ksezZ8/Gy5cvERISguzsbLi5uSE2NhZGRkaSNF9++SW0tLQQEBCAly9fYuDAgdixYwc0NTXlLvuXX37B06dPsWfPHuzZs0ey397eHvfu3avX14EQQgghpCEpNMAzNzfH7t27q03DGJN6LBAIEBERgYiIiCqP0dXVxTfffINvvvmmzmXXVAYhhDRFEREROHjwIC5duqTsqhBCXgOtRUsIURtMjqUOKxMVFQUnJycIhUI4OTlJbht51aZNm+Dg4ABdXV24uLjg1KlTtS5bnmUWb926BX9/f1haWsLY2Bh9+vTBiRMn6vBqEEKaMgrwCCFqQ56lDitKTExEYGAggoKCcPnyZQQFBSEgIADnzp2TpImMjERoaCgWLFiA5ORkeHp6YsiQIUhNTa1V2fIss/jmm2+ipKQEx48fR1JSErp3745hw4ZVOYdnZYqLi+VOSwhRUwpbS6MJoKXKmg5qB9VRVVvIs9RhZQICAtjgwYOl9vn5+bFx48ZJHvfq1YsFBwdLpXF0dGRz586Vu2x5lll8+vQpA8D++usvSZrc3FwGgB09erTK52Bvb8+WLVvGJk2axIyNjdnEiRMZY4zNnj2btW/fnunp6TEHBwe2cOFCmddt1apVzMrKihkaGrLJkyezOXPmsG7dulVZ1qvovFAN1A6qo0ksVUYIIQ1JnqUOK5OYmCh1DAD4+flJjikuLkZSUpJMGl9fX0ma+lpm0cLCAp06dcKuXbvw4sULlJSU4LvvvoO1tTVcXFyqff7r1q2Ds7MzkpKSEB4eDgAwMjLCjh07cO3aNXz11VfYunUrvvzyS8kxP//8MxYvXowVK1bgwoULsLW1xaZNm6othxDSOCh0kAUhhDQUeZY6rOq4yo4R55eZmYnS0tJq09TXMosCgQBxcXHw9/eHkZERNDQ0YG1tjZiYGJiamlb7/AcMGIBZs2ZJ7Xt18vbWrVvjk08+QWRkJGbPng0AWL9+PSZPnoz3338fALB8+XIcPXoUhYWF1ZZFCFF91INHCGl04uPjYWZmBkNDQxgaGkoNeKjLUofyHFNfaSp6NQ1jDCEhIbCyssKpU6fw999/w9/fH8OGDUNaWlq1+bi6usrs+/XXX9G3b1/Y2NjA0NAQ4eHhUvcNXr9+He7u7lLHVHxMCGmcKMAjhDQ6vXr1wvnz53Hp0iVcunQJrq6uUksdvurVpQ4rY2NjU+0xlpaW0NTUrDaNPGW/usxiVWmOHz+O33//Hfv27UOfPn3Qo0cPbNq0CXp6eti5c2e1r4mBgYHU47Nnz2LcuHEYMmQIfv/9dyQnJ2PBggU0AIOQJoICPEJIo6Onp4d27dpJNj09PamlDsXESx1WtTwiwHusKi4MHhsbKzlGR0cHLi4uMmni4uIkaeQp+9VlFsXEyyyK04gXEdfQkP5o1tDQQFlZmXwvzv+cOXMG9vb2WLBgAVxdXdG+fXuZS9WdOnXC2bNnpfZVfEwIaZzoHjxCiFp4danD9u3bo3379li5cqXUUocAMHHiRDRv3hyrVq0CAHz88cfo168f1qxZA39/fxw6dAhHjx7F6dOnJceEhYUhKCgIrq6ucHd3x5YtW5Camorg4GC5y351mUULCwuYm5tj1qxZUsssuru7w8zMDJMmTcKiRYugp6eHrVu3IiUlBW+++WatXo927dohNTUV+/btQ8+ePXHkyBGZ+f0+/vhjTJo0Ca6urujbty/27NmDq1evok2bNrVvAEKISqEAjxCiNuRZ6jA1NVWqh8zDwwP79u3DwoULER4ejrZt2yIyMhJubm6SNIGBgcjKysLSpUuRlpYGZ2dnREdHw97evlZl17TMoqWlJWJiYrBgwQIMGDAAIpEInTt3xqFDh9CtW7davRb+/v6YOXMmpk+fjqKiIrz55psIDw+XWsEnMDAQd+/exZw5c1BYWIgxY8bggw8+wJ9//lmrsgghqkfAWIW1wojccnNzYWJigpycHBgbGyukDJFIhOjoaAwdOhTa2toKKYPUjNpBdVBbqA5qC9VA7aA6GqIt5I09qAePEEIaibIyIC8PyMkBcnP5lpcHvHjBt/x8/rOgAHj5Eigs5D9fvgSKi6U3kQgoKeFbaWn5T/GtfozxDQAEAkBDo/ynhgagpQVoamoiN9cD33yjCR0dSDahsPynnp7sZmDAN0PD8p9GRnwzNubH1TD4mBBSAwrwCCFECQoLgSdP+Pb0KZCZKb09ewZkZ/NN/Hs1K64piQaAZrhypX5z1dLigZ6JCWBqWr6ZmADm5uWbmRn/aWlZvunr129dCGmsKMAjhJB6JBIBjx8DDx4Ajx7x7fFjvj16BKSn86AuJ6fuZWhr82DH2Jj3er3aG2ZgwIMcPT1AV7f8p64upHrZtLX5pqkp7o3jm/j2RHEPmkDAe/LKyvjGGO/pKy0FCgtLcP58Mpyd3wBjWpLewaIi/rOwULoX8eVL3rtYUFDe25ifzzdxTyTAexOfPeNbbenq8kDPyqp8a9aM/7SxAayt+U8bG57uf7c/EqJ2KMAjhJBaKCoC7t8H7t0DUlLKf6am8i0trfwyZ020tXnAYWXFg41mzcp7ol7toTIz45uJCd+EQkU+Q/mJRAxC4WMMHdod9XG7UWlpebCXm8uD4OfPy3+KezTFvZrPngFZWXzLzCwPKh8+5FtNNDT4629rC9jZ8c3WFmjRAmjenG8tWvDXni4Zk8aGAjxCCKmguBj47z/gxg3gzh3pLTW1/N60qmhr88CgZUseNDRvLh1AWFvzzdSUAodXaWqWB7G1xRjvAczM5Je8nz4FMjKktydPeA9qejr/e1kZD8jT0oCLF6vOW0+vvD3FW6tWfLO35z/p0jBRNRTgEUKarPx8HsRdvcq3GzeAmzeBu3d5b1JV9PUBBwegdWv+08Gh/B99y5a8R06DppFvUAIBv0xtaMjbpSYlJTzIS0vjl8/FP8WX0h8+5D8zM/ml5du3+VYVS0v+HhC/Jyr+1NOrn+dJiLwowCOENBqlZQznUp4hKVMAi5RncG9nBU2NmrvASkr4P+d//infrlzhl1erYmAAdOwIdOgAtGsnvVlZUc9bY6elxXtTbW2BHj2qTldYyAO9Bw+kN/El+fv3+SVl8eCYpKTK87G1Bdq0Kd/atuXvpbZt+aV5ej+R+kYBHiGkUYi5koYlv11DWk4hAE3sun0Btia6WDzcCYOdbSXpCgqAf//ll9wuXgSSk3kwV1RUeb7W1oCTE9C5M9CpE+DoyAM7Ozv6p0v4oI22bflWGcb4/YH375ffm/nq/Zn//ccDQPGl4DNnZPMwNOTBXvv25Vu7dvzLBQV/pK4owCOEqLyYK2n4YPdFVLz1LT2nEMG7L2JUsx7IuWqL8+eBa9cqH+RgYAB06QJ07Qp06wY4O/OgzsKiQZ4CUVMCQfkgmO7dZf/OGB8M8t9/fEtJ4bcA3L3L7+l8+JDfKnDpEt8qMjHhgd6rm6Mj/0n3/ZHqUIBHCFFppWUMS367JhPcAQAD/wf6y91reLTDBmC8q8PKil92e+MN/rN7d35ZjO6LIw1NIOBfIiwsgJ49Zf9eWMiDPvEgHvG9fnfu8B7BnBzg/Hm+VdSqlfg2Ag2IRK2hry9Aly68V5p6/QgFeIQQlZSdzf+pHUp8hrSXhVWmEwgALeNCTJn7DMPdLODqSpdXSeOhq8tvDejUSfZvhYW8p+/WLT74R/zzxg3eKyi+DzAuThNAN2zZwo8zNeW9fE5O0lvLlvQlpymhAI8QonR5efxeuaQk4MIFHtiJRyzqdypEsxE15zE8oBD+3RVaTUIalK4uv42gc2fZv2Vm8mDv5k3g6tVS/PXXU2RnWyMlRYDnz4GzZ/n2KgOD8vtNxZuzM58Chr4QqR8K8AghDSo7mwdz4i0pif+TqmxuubZtgY5uurgqR75WRrr1XldCVJV4Quw+fQCRqAzR0ecwdOhQlJZq49Yt4Pp1vl27xrdbt/g8gZVd7jU25oHeq1uXLjx/0nhRgEcIUQjG+L1Fly+Xb5cuVT01SYsWgIsL4OrKf/bqxe9bKi0zR981ukjPKaz0PjwBABsTXfRyMFfckyGkkdDV5QOJunaV3i8S8cu9V6/yUeXiuR9v3eKrhiQk8O1VNjY80BNvXbvyHkBd+i7VKFCARwh5bdnZfGqSilteXuXpHRz4AAjx5urKbwyvjKaGAIuHO+GD3RchAKSCPPFVpcXDneSaD4+Qpkpbm9+X5+gIjBlTvr+4mAd5V66Ub//+y0f8ilf9iIsrT6+pyUfwioNI8ah0usyreijAI4TI7flzfrlH/O3/6lX++PHjytPr6PD7fLp1K9+6d+dTStTGYGdbfDuhxyvz4HE2lcyDRwiRn45O+WXZV+Xn8/Nb/GVNPEH4s2fll38jI8vTm5vzYK97d75168Z7+3R0GvLZkFdRgEcIkVJWxmfqF4/Wu3Gj/AP9yZOqj7O355dxxPfvdO3Kp3Coj0XoAR7k+TjZIPFOBmJPnYOvp5vcK1kQQmrH0BBwc+ObGGN8smZxsCe+9UI8qvfkSb6JaWvzIE8c9Ik3U9MGfCJNGAV4hDRBjPHF18Xzbd2+XT4Fw+3bfHqGqrRowXvlXh2N16lT3RaIry1NDQHcHMyRdZ3BzcGcgjtCGpBAwKcgsrMDBg8u319YyL8Avnqv7aVLvMdfvG/nzvL0rVvzQO/V2zSaN6dLvPWNAjxC1FRJCe+Je3Xm/Fe33Nyqj9XW5ksldexYPkeX+P4dI6OGew6EENWnq1seqIkxxufoEwd74k28lNu9e8DBg+XpLS3LJyYXbzQ5+euhAI+QRqq0lC+CXtkamCkp/MO1tLTq4wUCPhO+eN3L9u15QNexI/+GrUWfDoSQOhII+G0b9vaAv3/5/uzs8mBPPFXS9et8Xr+4OOkBHUZGPOhzcSkP+jp25AM9SM3oI5wQFSRev/LhQ749eFA+a31qKn/88CHvpauOjg4P1sSLpb+6tWlD0x0QQhqWmRng7c03sZcv+ejd5GTg4kW+/fMPH4X/1198E9PX55d3xUGfiwu/wkBfSGXRS0JIAyso4Dcqi7dHj/go1EePyn9/+JB/6NVES4v3wtnb80DO3p5PQdKmDf9pa0uXOAghqk1Pj6/T++pavSIR79kTB3wXL/JevxcvZOfs09Xlo3ZdXMrn0nRyoqCviT99QupHUREftJCRwUeaijfxPFJPnpQHdNXd+1ZRs2Z8UEOLFjyQq7jZ2tLlCkKI+tHWLp9n7913+b7SUj4Y7OJFvgKOOPDLywPOneObmDjoE0+c7ura9Hr6mtBTJUQ+ZWU8CMvK4veFZGYC6ekCnD7dFmfOaODZM+DpU+ktJ6d2Zejp8eDM1paPHmvenI9ME//eogV/TJdQCSGE09QsH/T1zjt8X1kZnwkgKal8u3iRf4ZXDPr09PjlXVfX8k2d7+mjAI+oJcZ4V35ODr+p9/lz6Z/Z2fweN/FP8ZaVxffJDk7QAuAsU86rtLUBK6vyzcamfLO25j/FQZ2xMU0JQAghr0tDg6+s0aED8PbbfF/FoO/ChfKevsREvokZGPB7+V4N+tq1U49bWxQe4G3atAnr1q1DWloaOnfujPXr18PT07PK9PHx8QgLC8PVq1dhZ2eH2bNnIzg4WCpNVFQUwsPDcffuXbRt2xYrVqzAqFGjalUuYwxLlizBli1bkJ2dDTc3N2zcuBGdO3eu3xeA1EpZGQ/M8vLKt/x8/m0sL4//fHXLyeHbq78/f85/VjeCVB76+vwSqYUFYGFRhqKiR+ja1Q7W1ppo1gxSm7U1n7yTgjZCCFGuqoK+W7dkg74XL4BTp/gmZmxcflm3Z0/+s3Xrxvf5rtAALzIyEqGhodi0aRP69OmD7777DkOGDMG1a9fQqlUrmfQpKSkYOnQopk6dit27d+PMmTMICQlBs2bNMOZ/i+clJiYiMDAQy5Ytw6hRo3DgwAEEBATg9OnTcPvflNvylLt27Vp88cUX2LFjBzp06IDly5fDx8cHN2/ehBFN9FWt0lI+AODlSz5goKCAnyQVf1a15eeX/3x1y8vj++uTpiYPvMzM+Pbq7+bm0j8tLPjv4p+vXh4ViUoRHX0RQ4faQFtbTfvzCSFETWlolM/lKb68W1rKV+EQB3wXLvCRvLm5wIkTfBOzsCjv4RMHfc2bK+e5yEvAGGM1J6sbNzc39OjRA99++61kX6dOnTBy5EisWrVKJv2cOXNw+PBhXL9+XbIvODgYly9fRuL/+lQDAwORm5uLP/74Q5Jm8ODBMDMzw969e+UqlzEGOzs7hIaGYs6cOQCAoqIiWFtbY82aNZg2bZpczy83NxcmJibIycmBsbFxLV4Z+YlEIkRHR2Po0KHQrmTNp9JSPou4eHv5UvaxeF/F31/dV9VWUCD7e1GRQp6qFA0NPgeSoSH/aWwsvRkZ8ZUTjI3Lfxob8wDOxKT8p4FB/XzrqqkdSMOhtlAd1Baqgdqh/ohEfA3eV4O+y5f5/opsbWWDPlNTxbeFvLHH/7d3/zFV3fcfx19XflyqVRuxBYnoqGv9UXSml85eMrVb62W4dLqUiOty57bWlKBTues68UemxpSZLQs1iI6EzPnNVvjDqu3CGq7phhpvnYJ2plk6l7HSUijDZKJSLxe83z/03kkv4K32cE7PfT6SG7if+7mfz/ved4gvz733XMOO4PX19am5uVkbN24cNO7xeHTy1s833yIQCMjj8QwaKygoUG1trUKhkFJSUhQIBFRWVhYzp7KyMu59W1tb1dnZOWgvp9OpxYsX6+TJk8MGvGAwqOAt6abn5schQ6GQQkN1/y4FAg4tXXpe165ly+G4oHD4HklOhcP/u0hm/zFfk8PxicaM6ZXD8cktl95bfvbecvvVm2NXNWZM5PoVjRnzv3GH44ocjmvRYBZ5qba93bxHGQ6HFQwG5XQ65fiiHae3GXphHfTCGuiDse6/P1Wh0GyFQnPV1zdffX3z1N//sDo6kvXGG9Ibb/xvblJSp5KSHJo58yk1Nx81pJ5484ZhAa+7u1sDAwPKyMgYNJ6RkaHOzs4h79PZ2Tnk/P7+fnV3d2vKlCnDzomsGc++kZ9DzXn//feHfUwVFRXavn17zHhjY6PGjh077P3uVEvLA7p61f0Z7tEn6dqnLp/c8nO4328du/XS+6mfkd8jl2uSwgqH7/79bgAAWFerpIZbrt8jab6kPEmP3fw5UwMD2RoYuE/t7c+roaEhdpnPQW9vb1zzDP+Qxaf/NxEOh0f8H8ZQ8z89Hs+an9ecW5WXl8vn80Wv9/T0KDs7Wx6Px5CXaF0u6f/+70V1d7crNfW6HI7gzUvfzSNcQd04ghYZG62UlXbzkjj4H7J10AvroBfWQB/M0nbz8pok6fr1e9XXl6tgMF3Tp0/V0qVLDdm1J86TqRoW8CZPnqykpKSYo3VdXV0xR84iMjMzh5yfnJys9PT0EedE1oxn38zMTEk3juRNmTIlrtqkGy/jOp3OmPGUlBRDXmufOlV6770K3lthAbzHxTrohXXQC2ugD9bxv15UGdaLeNc17Ewvqampcrlc8t/6zcGS/H6/8vPzh7yP2+2Omd/Y2Ki8vLzoAxpuTmTNePbNyclRZmbmoDl9fX1qamoatjYAAIAvCkNfovX5fPJ6vcrLy5Pb7VZNTY3a2tqi57UrLy9Xe3u7Dhw4IOnGJ2arqqrk8/m0evVqBQIB1dbWRj8dK0nr16/XokWLtGvXLi1btkxHjhzR0aNHdeLEibj3dTgc2rBhg15++WU99NBDeuihh/Tyyy9r7NixevbZZ418SgAAAAxnaMArLi7WxYsXtWPHDnV0dCg3N1cNDQ2aPn26JKmjo0NtbW3R+Tk5OWpoaFBZWZn27NmjrKws7d69O3oOPEnKz89XXV2dtmzZoq1bt2rGjBmqr6+PngMvnn0l6aWXXtInn3yi0tLS6ImOGxsbOQceAAD4wjP8QxalpaUqLS0d8rb9+/fHjC1evFgtLS0jrllUVKSioqI73le6cRRv27Zt2rZt24jrAAAAfNHY4NvWAAAAcCsCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzhge86upq5eTkKC0tTS6XS8ePHx9xflNTk1wul9LS0vTggw9q3759MXMOHjyoOXPmyOl0as6cOTp06NBn2jcUCulnP/uZ5s6dq3HjxikrK0vf//739dFHH939AwYAADCZoQGvvr5eGzZs0ObNm3X27FktXLhQhYWFamtrG3J+a2urli5dqoULF+rs2bPatGmT1q1bp4MHD0bnBAIBFRcXy+v16p133pHX69WKFSt06tSpuPft7e1VS0uLtm7dqpaWFr322mv6xz/+oW9/+9tGPh0AAACjI2ygr371q+GSkpJBY7NmzQpv3LhxyPkvvfRSeNasWYPGXnjhhfDjjz8evb5ixYrwN7/5zUFzCgoKwitXrrzjfcPhcPivf/1rWFL4/fffH/lB3eLSpUthSeFLly7FfZ/Pqq+vL3z48OFwX1+fYXvg9uiDddAL66AX1kAfrGM0ehFv9kg2Kjj29fWpublZGzduHDTu8Xh08uTJIe8TCATk8XgGjRUUFKi2tlahUEgpKSkKBAIqKyuLmVNZWXnH+0rSpUuX5HA4dN999w07JxgMKhgMRq/39PRIuvGSbygUGvZ+dyOyrlHrIz70wTrohXXQC2ugD9YxGr2Id23DAl53d7cGBgaUkZExaDwjI0OdnZ1D3qezs3PI+f39/eru7taUKVOGnRNZ8072vXbtmjZu3Khnn31WEyZMGPYxVVRUaPv27THjjY2NGjt27LD3+zz4/X5D10d86IN10AvroBfWQB+sw8he9Pb2xjXPsIAX4XA4Bl0Ph8MxY7eb/+nxeNaMd99QKKSVK1fq+vXrqq6uHuGRSOXl5fL5fNHrPT09ys7OlsfjGTEY3o1QKCS/368lS5YoJSXFkD1we/TBOuiFddALa6AP1jEavYi8eng7hgW8yZMnKykpKeaoWVdXV8zRtYjMzMwh5ycnJys9PX3EOZE1P8u+oVBIK1asUGtrq956663bhjSn0ymn0xkznpKSYvgf1WjsgdujD9ZBL6yDXlgDfbAOI3sR77qGfYo2NTVVLpcr5jCl3+9Xfn7+kPdxu90x8xsbG5WXlxd9QMPNiawZ776RcHfhwgUdPXo0GiABAAC+6Ax9idbn88nr9SovL09ut1s1NTVqa2tTSUmJpBsveba3t+vAgQOSpJKSElVVVcnn82n16tUKBAKqra3Vq6++Gl1z/fr1WrRokXbt2qVly5bpyJEjOnr0qE6cOBH3vv39/SoqKlJLS4v++Mc/amBgIHrEb9KkSUpNTTXyaQEAADCUoQGvuLhYFy9e1I4dO9TR0aHc3Fw1NDRo+vTpkqSOjo5B58TLyclRQ0ODysrKtGfPHmVlZWn37t165plnonPy8/NVV1enLVu2aOvWrZoxY4bq6+u1YMGCuPf98MMP9frrr0uS5s+fP6jmP//5z3riiScMekYAAACMZ/iHLEpLS1VaWjrkbfv3748ZW7x4sVpaWkZcs6ioSEVFRXe875e+9KXohzcAAADshu+iBQAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGzG8IBXXV2tnJwcpaWlyeVy6fjx4yPOb2pqksvlUlpamh588EHt27cvZs7Bgwc1Z84cOZ1OzZkzR4cOHbqrfV944QU5HA5VVlZ+5scHAABgNYYGvPr6em3YsEGbN2/W2bNntXDhQhUWFqqtrW3I+a2trVq6dKkWLlyos2fPatOmTVq3bp0OHjwYnRMIBFRcXCyv16t33nlHXq9XK1as0KlTp+5o38OHD+vUqVPKysr6/J8AAAAAExga8H7961/rueee0/PPP6/Zs2ersrJS2dnZ2rt375Dz9+3bp2nTpqmyslKzZ8/W888/rx/96Ef61a9+FZ1TWVmpJUuWqLy8XLNmzVJ5ebmefPLJQUff4t23vb1da9eu1e9//3ulpKQY8hwAAACMNsMCXl9fn5qbm+XxeAaNezwenTx5csj7BAKBmPkFBQU6c+aMQqHQiHMia8a77/Xr1+X1evXTn/5UjzzyyJ09SAAAAAtKNmrh7u5uDQwMKCMjY9B4RkaGOjs7h7xPZ2fnkPP7+/vV3d2tKVOmDDsnsma8++7atUvJyclat25d3I8pGAwqGAxGr/f09EiSQqFQNIB+3iLrGrU+4kMfrINeWAe9sAb6YB2j0Yt41zYs4EU4HI5B18PhcMzY7eZ/ejyeNUea09zcrFdeeUUtLS0j1vJpFRUV2r59e8x4Y2Ojxo4dG/c6d8Lv9xu6PuJDH6yDXlgHvbAG+mAdRvait7c3rnmGBbzJkycrKSkp5mhdV1dXzNG1iMzMzCHnJycnKz09fcQ5kTXj2ff48ePq6urStGnTorcPDAzoJz/5iSorK/Xvf/97yPrKy8vl8/mi13t6epSdnS2Px6MJEyYM91TclVAoJL/fryVLlvA+QRPRB+ugF9ZBL6yBPljHaPQi8urh7RgW8FJTU+VyueT3+/Wd73wnOu73+7Vs2bIh7+N2u/XGG28MGmtsbFReXl70iXK73fL7/SorKxs0Jz8/P+59vV6vnnrqqUH7FBQUyOv16oc//OGwj8npdMrpdMaMp6SkGP5HNRp74Pbog3XQC+ugF9ZAH6zDyF7Eu66hL9H6fD55vV7l5eXJ7XarpqZGbW1tKikpkXTjiFh7e7sOHDggSSopKVFVVZV8Pp9Wr16tQCCg2tpavfrqq9E1169fr0WLFmnXrl1atmyZjhw5oqNHj+rEiRNx75uenh49IhiRkpKizMxMzZw508inBAAAwHCGBrzi4mJdvHhRO3bsUEdHh3Jzc9XQ0KDp06dLkjo6Ogadmy4nJ0cNDQ0qKyvTnj17lJWVpd27d+uZZ56JzsnPz1ddXZ22bNmirVu3asaMGaqvr9eCBQvi3hcAAMDODP+QRWlpqUpLS4e8bf/+/TFjixcvVktLy4hrFhUVqaio6I73Hcpw77sDAAD4ouG7aAEAAGyGgAcAAGAzBDwAAACbIeABAADYjOEfsrCzyLdsxHvSwTsRCoXU29urnp4ezm9kIvpgHfTCOuiFNdAH6xiNXkQyRySDDIeAdxcuX74sScrOzja5EgAAkEguX76siRMnDnu7I3y7CIhhXb9+XR999JHGjx//mb7T9rOIfB3aBx98YNjXoeH26IN10AvroBfWQB+sYzR6EQ6HdfnyZWVlZWnMmOHfaccRvLswZswYTZ06dVT2mjBhAn+4FkAfrINeWAe9sAb6YB1G92KkI3cRfMgCAADAZgh4AAAANkPAszin06mf//zncjqdZpeS0OiDddAL66AX1kAfrMNKveBDFgAAADbDETwAAACbIeABAADYDAEPAADAZgh4AAAANkPAs7Dq6mrl5OQoLS1NLpdLx48fN7ukhHTs2DE9/fTTysrKksPh0OHDh80uKSFVVFToscce0/jx4/XAAw9o+fLleu+998wuK+Hs3btX8+bNi57I1e12609/+pPZZUE3/kYcDoc2bNhgdikJZ9u2bXI4HIMumZmZptZEwLOo+vp6bdiwQZs3b9bZs2e1cOFCFRYWqq2tzezSEs7Vq1f1la98RVVVVWaXktCampq0Zs0avf322/L7/erv75fH49HVq1fNLi2hTJ06Vb/4xS905swZnTlzRt/4xje0bNkyvfvuu2aXltBOnz6tmpoazZs3z+xSEtYjjzyijo6O6OX8+fOm1sNpUixqwYIFevTRR7V3797o2OzZs7V8+XJVVFSYWFliczgcOnTokJYvX252KQnvP//5jx544AE1NTVp0aJFZpeT0CZNmqRf/vKXeu6558wuJSFduXJFjz76qKqrq7Vz507Nnz9flZWVZpeVULZt26bDhw/r3LlzZpcSxRE8C+rr61Nzc7M8Hs+gcY/Ho5MnT5pUFWAtly5dknQjXMAcAwMDqqur09WrV+V2u80uJ2GtWbNG3/rWt/TUU0+ZXUpCu3DhgrKyspSTk6OVK1fqX//6l6n1JJu6O4bU3d2tgYEBZWRkDBrPyMhQZ2enSVUB1hEOh+Xz+fS1r31Nubm5ZpeTcM6fPy+3261r167p3nvv1aFDhzRnzhyzy0pIdXV1amlp0enTp80uJaEtWLBABw4c0MMPP6yPP/5YO3fuVH5+vt59912lp6ebUhMBz8IcDseg6+FwOGYMSERr167V3/72N504ccLsUhLSzJkzde7cOf33v//VwYMHtWrVKjU1NRHyRtkHH3yg9evXq7GxUWlpaWaXk9AKCwujv8+dO1dut1szZszQ7373O/l8PlNqIuBZ0OTJk5WUlBRztK6rqyvmqB6QaH784x/r9ddf17FjxzR16lSzy0lIqamp+vKXvyxJysvL0+nTp/XKK6/oN7/5jcmVJZbm5mZ1dXXJ5XJFxwYGBnTs2DFVVVUpGAwqKSnJxAoT17hx4zR37lxduHDBtBp4D54FpaamyuVyye/3Dxr3+/3Kz883qSrAXOFwWGvXrtVrr72mt956Szk5OWaXhJvC4bCCwaDZZSScJ598UufPn9e5c+eil7y8PH3ve9/TuXPnCHcmCgaD+vvf/64pU6aYVgNH8CzK5/PJ6/UqLy9PbrdbNTU1amtrU0lJidmlJZwrV67on//8Z/R6a2urzp07p0mTJmnatGkmVpZY1qxZoz/84Q86cuSIxo8fHz3CPXHiRN1zzz0mV5c4Nm3apMLCQmVnZ+vy5cuqq6vTX/7yF7355ptml5Zwxo8fH/Me1HHjxik9PZ33po6yF198UU8//bSmTZumrq4u7dy5Uz09PVq1apVpNRHwLKq4uFgXL17Ujh071NHRodzcXDU0NGj69Olml5Zwzpw5o69//evR65H3U6xatUr79+83qarEEzll0BNPPDFo/Le//a1+8IMfjH5BCerjjz+W1+tVR0eHJk6cqHnz5unNN9/UkiVLzC4NMM2HH36o7373u+ru7tb999+vxx9/XG+//bap/2ZzHjwAAACb4T14AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGzm/wH+RrjHRMrw2gAAAABJRU5ErkJggg==\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "be613857b5f6499eacd079ae92bc474d": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_c06016ffccc842b88cfd56dddfe1f3b0",
+        "IPY_MODEL_89d163072ee64374bf7014553dbda556",
+        "IPY_MODEL_38437965d3b4455495bc7ae48c750fef"
+       ],
+       "layout": "IPY_MODEL_42585c89d47c4b559ad5d24d1c42ad13"
+      }
+     },
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+       "layout": "IPY_MODEL_6b86b81b263b47d6bff88eae7ac27298",
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+        "IPY_MODEL_801df073b4044471be6694da65e4a542"
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+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_8eef1357de9245b195bb8c469bd7ead3",
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+       "step": 0.2,
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+       "value": 2
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+      }
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+      "state": {
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+      }
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+      "model_module_version": "1.5.0",
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+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_1809c9b8edbd453ab87832b22601e0a5",
+       "outputs": [
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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "c8e7012749b84fa39305a33c26a799b3": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_6e565f5b398f4650abb8949fc453bd88",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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zbty4q+pXUA07duwwXbt2NcWLFzdhYWHmoYceMr/++qtT340bN5q2bdua0NBQU6xYMdOsWTOzYsUKl+tdvny5qVevngkKCjIVK1Y0EyZMcHn3Wq7KlSubmjVrXrHeqxnj8rvWfv/9d/Poo4+aiIgIExISYu68806zceNG06pVK9OqVas84yxdutTUrVvXaZynnnrK3HLLLY4+Bc2lu+Plt46+ffua0NDQPOtt1aqVqV279hXfp/zuXjTGvTm90n7qSmJiomnQoIEpVqyYufXWW80777xT4N2Ll6/78jnL7w7UUaNGmZiYGFOkSBEjyaxbty7fmlytw53t93R/8XTfv9qx3Nn2Y8eOmapVq5pGjRrlucN54MCBxm63mwMHDph///vfpkSJEvnesekNrVq1KvCuxz/L3Ydfeuklp/b09HTz1FNPmaioKBMUFGTq1atnFixYYNk24OrZjDHGqoAH4P/7+uuvVb9+fU2dOlVDhgzxdTlXlJmZqQYNGqhcuXJas2aNr8sBrtm7776rRYsWad26db4uBYUEpxcBi/3000/65Zdf9Le//U3R0dHq16+fr0ty6dFHH1WHDh0UHR2t1NRUTZ8+XXv27NGUKVN8XRpwXXz11VcefbEscK0IXYDFXn75Zc2dO1c1a9bUJ5984hd/p9CV9PR0jRw5UidOnFBgYKAaNWqkxMREtW/f3telAdfF9f4LA8CVcHoRAADAAnxlBAAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAW4Hu6AFyTzz77TAsXLpQkFSlSRCNGjFD9+vV9XBUA+B9CF4BrMnPmTC3/PEn2yCq6eGSPqlWrRugCABc4vQjgmgXF1FDZB8crMLSEr0sBAL9F6AIAALAAoQsAAMAChC4AAAALELoAAAAsQOgCAACwAKELAADAAoQuAAAACxC6AAAALEDoAgAAsAChCwAAwAKELgAAAAsQugAAACxA6AIAALAAoQsAAMAChC4AAAALELoAAAAsQOgCAACwAKELAADAAoQuAAAACxC6AAAALEDoAgAAsAChCwAAwAKELgAAAAsQugAAACxA6AIAALAAoQsAAMAChC4AAAALELoAAAAsQOgCAACwAKELAADAAoQuAAAACxC6AAAALEDoAgAAsAChCwAAwAKELgAAAAsQugAAACxA6AIAALAAoQsAAMAChC4AAAALELoAAAAsQOgCAACwAKELAADAAoQuAAAACxC6AAAALEDoAgAAsAChCwAAwAKELgAAAAsQugAAACxA6AIAALAAoQsAAMAChC4AAAALELoAAAAsQOgCAACwAKELAADAAoQuAAAACxC6AAAALEDoAgAAsAChCwAAwAKELgAAAAsQugAAACxA6AIAALAAoQsAAMAChC4AAAALELoAAAAsQOgCAACwAKELAADAAoQuAAAACxC6AAAALEDoAgAAsAChCwAAwAKELgAAAAsQugAAACxA6AIAALAAoQsAAMAChC4AAAALELoAAAAsQOgCAACwAKELAADAAoQuAAAACxC6AAAALEDoAgAAsAChCwAAwAKELgAAAAsQugAAACxA6AIAALAAoQsAAMAChC4AAAALELoAAAAsQOgCAACwAKELwFW5ePGifvzxR509e9ap/dSpU9q/f79ycnJ8VBkA+CdCF4Cr8uijj6l69epKSkqSLTDoj8YAu6ZMmaLbbrtNb731lm8LBAA/Q+gCcFXi4ztIkm5p91eVjn9cklSm5ziFNeoiSWrfvr3PagMAf0ToAnBVHn74YVWqcqsuHf5GRUNKSpKKhpVR5sFdurd7d9WvX9/HFQKAfyF0AbgqAQEBGvPSizq3L1mXfv1ZknTuu3W6+NsxjX7pJR9XBwD+x2aMMb4uAsCNKSsrS9Wq366TgZEK7/acfp0xWJ3uaqJlS5f6ujQA8Dsc6QJw1QICAjT6xRd0bl+yfl83Uxm/HdOY0aN9XRYA+CWOdAG4JrlHu3458LPu7d5dS5cs8XVJAOCXONIF4JoEBARo3NgxCgoK4louACgAR7oAXBenT59WqVKlfF0GAPitAF8XcCOKjY1Vamqqr8sAAABuioqK0vbt231aA6HrKqSmpuro0aO+LgMAANxACF1XISoqytclAAAAD/jDv91c03UVtmzZoj179qh///6+LgUAABTg4MGD+uSTTzRy5EjZbDaf1kLo8lBWVpZuu72GDh08oD179qh69eq+LgkAAOTjnm7dtGL5ci1btkzdunXzaS18ZYSHPvroIx38+ScVsYfq5ZfH+bocAACQj127dmnF8uUqWixML7z4knx9nIkjXR7IPcp1IiBCQRXr6czaDzjaBQCAn7qnWzcl/XuHSrQfrOML/+7zo10c6fJA7lGuEs0fVFj9jgooXpqjXQAA+KHco1yhzXqqWOUGCqlUz+dHuwhdbsrKytJLY8YqtHqcgiKryhYQpNAm9+mjj+Zr3759vi4PAAD8yUujRys4vJxCa7WWJIU1f1DffP2Vli9f7rOaCF1u+vNRrlwc7QIAwP/8+SiXrUhRSVJwxXo+P9pF6HLT2HGvyBZo1+l/L9Cl4weUk3lRpz5/W9my6aOP5uuXX37xdYkAAEDSK6++Kkk6v2ejLvy0TZL0+9oZyjx3Rt98/ZVWrVrlk7r4clQ3det6t/bv36/PPvtMFyvUVbDNpnPfr1fLli1Vvnx5FStWzNclAgAASXe2aKGMixe1cdMmndv7bxWreofSti9T3Tp1dGuLboqJifFJXdy96KGQ0FAFN3tYwZXrK2XmE9qyZYuaNm3q67IAAMBlmsY113fnQlWm8zD98npXvf/eexo4cKDP6uH0IgAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAgJtWzoV0Xfr1J8kYX5eiAF8XAAAA4A0lwsJ0YcsaXdi/VZIUFhbm03oIXQAA4Kb0yaKF+vnnnyVJAQEBqlOnjk/rIXQBAICbUqlSpdSoUSNfl+HANV0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AWXZs+erVKlSvm6DAAAbhqELj8zbdo0ValSRcHBwWrcuLE2btx4xWUyMjL0/PPPq1KlSrLb7apatapmzpzp1Gfx4sWqVauW7Ha7atWqpaVLl15TnQcPHpTNZlNERITS09OdXmvQoIFGjx59TesHAOBmQ+jyIwsXLtSwYcP0/PPPa9euXWrZsqUSEhJ06NChApfr2bOnvvjiC82YMUN79+7VggULVKNGDcfrycnJ6tWrl/r06aOvvvpKffr0Uc+ePbV169Zrrjk9PV2TJk265vUAAHCzI3T5kTfffFOPPvqoHnvsMdWsWVOTJ09WhQoV9O677+a7zKpVq7RhwwYlJiaqffv2qly5spo0aaLmzZs7+kyePFkdOnTQqFGjVKNGDY0aNUrt2rXT5MmT3a7t1KlTatKkie655x5dvHjR0f7kk0/qzTff1PHjx69qmwEAKCwIXX7i0qVL2rFjh+Lj453a4+PjtXnz5nyXW758uWJjY/X666+rXLlyql69ukaOHKkLFy44+iQnJ+dZb8eOHQtc758dOXJELVu2VI0aNbRkyRIFBwc7XnvooYdUrVo1jR071q11AQBQWBG6/MTJkyeVnZ2tyMhIp/bIyEilpqbmu9zPP/+sTZs26dtvv9XSpUs1efJk/fOf/9Tjjz/u6JOamurxenPt27dPLVq0UPv27fXhhx8qICDA6XWbzaYJEybo/fff108//eTOpgIAUCgRuvyMzWZzem6MydP2Zzk5ObLZbJo/f76aNGmizp07680339Ts2bOdjnZ5ul5JunDhgu68807de++9evvtt/Pt37FjR91555164YUXrrR5AAAUWoSuq5CVfkKZJwu+uN1TZcqUUdGiRfMcfTp+/Hieo1R/Fh0drXLlyqlkyZKOtpo1a8oYoyNHjkiSoqKiPF6vJNntdrVv314rV650rCs/EyZM0MKFC7Vr164C+wEAUFgRujxUPCxM6duW6eTy1yVJYWFh12W9QUFBaty4sZKSkpzak5KSnC6Kv1yLFi107NgxnT171tG2b98+FSlSROXLl5ckxcXF5VnvmjVrClyvJBUpUkRz585V48aN1bZtWx07dizfvk2aNFGPHj303HPPFbhOAAAKK0KXh77atUs7d+7Uzp07tW/fPtWqVeu6rXvEiBH6v//7P82cOVN79uzR8OHDdejQIQ0aNMjRZ9SoUXrkkUccz3v37q3w8HD1799f33//vb788ks988wzGjBggIoVKyZJGjp0qNasWaPXXntNP/zwg1577TX961//0rBhw65YU9GiRTV//nzVr19fbdu2LfA6sFdeeUVr167V3r17r/5NAADgJkXo8lB0dLQaNmyohg0b6rbbbruu6+7Vq5cmT56ssWPHqkGDBvryyy+VmJioSpUqOfqkpKQ4fW9X8eLFlZSUpNOnTys2NlYPP/ywunbtqrffftvRp3nz5vr44481a9Ys1atXT7Nnz9bChQvVtGlTt+oKCAjQggULVLt2bbVt2zbfr4eoXr26BgwY4PSVEgAA4A82Y4zxdREAAAA3O450AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXfA7s2fPls1m0/bt269q+YMHD6pLly4qXbq0bDabhg0bpoMHD8pms2n27NnXt1g/Nnr0aNlsNqe21q1bq3Xr1j6px9W84Nps3rxZo0eP1unTp31dylUpqH5f7qvuevXVV7Vs2TKPlzt58qTsdvs1fc7hxhTg6wKA62348OHaunWrZs6cqaioKEVHR8sY4+uy/MK0adN8NrarecG12bx5s8aMGaN+/fqpVKlSvi7HYwXV78t91V2vvvqq7r//ft17770eLTd37lxdunRJkjRjxgzFxsZ6oTr4I0IXbjrffvutmjRp4vRBePDgQZ/V409q1arls7Fdzcu1yM7OVlZWlux2+3VZ343kwoULCg4Ovi7rOn/+vEJCQq7Luq4nX+6r3jZz5kxFRESoUqVKWrBggd58800VK1bM12XBApxexA2hX79+Kl68uPbv36/OnTurePHiqlChgp5++mllZGRIktavXy+bzab9+/fr888/l81mk81myzdw9evXT5UrV87T7uq0nDFG06ZNU4MGDVSsWDHdcsstuv/++/Xzzz879WvdurXq1Kmjbdu2qWXLlgoJCdGtt96qCRMmKCcnx6nv6dOn9fTTT+vWW2+V3W5XRESEOnfurB9++MHR59KlSxo3bpxq1Kghu92usmXLqn///jpx4sRVvIt5T9nknnadNGmS3nzzTVWpUkXFixdXXFyctmzZkmf57du365577lHp0qUVHByshg0batGiRQWOeaV5OXTokP7yl78oIiJCdrtdNWvW1BtvvOH0fuXW+frrr2vcuHGqUqWK7Ha71q1bl++4n3zyiZo2baqSJUs65mHAgAGO13NPY1++f+TWu379eqf3rU6dOtq4caOaNWumYsWKqVy5cnrhhReUnZ3tss5XXnlFFStWVHBwsGJjY/XFF1/kqXHTpk1q166dwsLCFBISoubNm2vlypVOfXLrXLNmjQYMGKCyZcsqJCREo0aN0jPPPCNJqlKliuN9/XPdl8v9Ofrmm28UHx+vsLAwtWvXTpL7+9rChQsVHx+v6OhoFStWTDVr1tRzzz2nc+fO5Rlv69at6tq1q8LDwxUcHKyqVas6TiuPHj26wPpdnV787bffNGTIEJUrV05BQUG69dZb9fzzzzs+A3LZbDY98cQTmjt3rmrWrKmQkBDVr19fn332Wb7vTa6LFy/q6aefVoMGDVSyZEmVLl1acXFx+vTTT/OMce7cOX344YeO2t05Hbp161Z9++236tOnjwYOHKgzZ85o8eLFV1wONwkD+JlZs2YZSWbbtm2Otr59+5qgoCBTs2ZNM2nSJPOvf/3LvPjii8Zms5kxY8YYY4w5c+aMSU5ONlFRUaZFixYmOTnZJCcnm4sXL5oDBw4YSWbWrFlO66xUqVKe8V966SVz+Y/GwIEDTWBgoHn66afNqlWrzEcffWRq1KhhIiMjTWpqqqNfq1atTHh4uLntttvM9OnTTVJSkhkyZIiRZD788ENHv7S0NFO7dm0TGhpqxo4da1avXm0WL15shg4datauXWuMMSY7O9t06tTJhIaGmjFjxpikpCTzf//3f6ZcuXKmVq1a5vz58wW+j662o1WrVqZVq1aO57nvS+XKlU2nTp3MsmXLzLJly0zdunXNLbfcYk6fPu3ou3btWhMUFGRatmxpFi5caFatWmX69euX5329XEHzcvz4cVOuXDlTtmxZM336dLNq1SrzxBNPGElm8ODBeeosV66cadOmjfnnP/9p1qxZYw4cOOByzM2bNxubzWYefPBBk5iYaNauXWtmzZpl+vTp4+iTu59dvo5169YZSWbdunVO71t4eLiJiYkxb7/9tlm9erV56qmnjCTz+OOP56mzQoUK5s477zSLFy82n3zyibnjjjtMYGCg2bx5s6Pv+vXrTWBgoGncuLFZuHChWbZsmYmPjzc2m818/PHHeeosV66c+etf/2o+//xz889//tMcPHjQPPnkk0aSWbJkieN9PXPmTL5z0bdvXxMYGGgqV65sxo8fb7744guzevVqj/a1l19+2bz11ltm5cqVZv369Wb69OmmSpUqpk2bNk5jrVq1ygQGBpp69eqZ2bNnm7Vr15qZM2eaBx980BhjzOHDhwus//J99cKFC6ZevXomNDTUTJo0yaxZs8a88MILJiAgwHTu3Nlp7Nx9ukmTJmbRokUmMTHRtG7d2gQEBJiffvop3/fHGGNOnz5t+vXrZ+bOnWvWrl1rVq1aZUaOHGmKFCni9DOcnJxsihUrZjp37uyo/bvvvitw3cb88VkiyXz33XcmLS3NhISEmNatW19xOdwcCF3wO/mFLklm0aJFTn07d+5sbr/9dqe2SpUqmS5duji1XUvoSk5ONpLMG2+84dTv8OHDplixYubZZ591tLVq1cpIMlu3bnXqW6tWLdOxY0fH87FjxxpJJikpKZ93wZgFCxYYSWbx4sVO7du2bTOSzLRp0/Jd1tV25NbnKnTVrVvXZGVlOdr/85//GElmwYIFjrYaNWqYhg0bmszMTKd13n333SY6OtpkZ2cXWI+reXnuuedcvl+DBw82NpvN7N2716nOqlWrmkuXLhU4jjHGTJo0yUhyCo2X8zR0STKffvqpU9+BAweaIkWKmF9++cWpzpiYGHPhwgVHv7S0NFO6dGnTvn17R1uzZs1MRESESU9Pd7RlZWWZOnXqmPLly5ucnBynOh955JE82zBx4kSX25Cf3J+jmTNnOrVf7b6Wk5NjMjMzzYYNG4wk89VXXzleq1q1qqlatarT++BJ/Zfvq9OnT3f5GfDaa68ZSWbNmjWONkkmMjLSpKWlOdpSU1NNkSJFzPjx4/Otx5WsrCyTmZlpHn30UdOwYUOn10JDQ03fvn3dXte5c+dMiRIlTLNmzRxtffv2NTabzezfv9+junBj4vQibhg2m01du3Z1aqtXr55++eUXr4772WefyWaz6S9/+YuysrIcj6ioKNWvXz/P6ZyoqCg1adKkwDo///xzVa9eXe3bty9w3FKlSqlr165O4zZo0EBRUVEFnkbyVJcuXVS0aFGneiU5at6/f79++OEHPfzww5LkVE/nzp2VkpKivXv3ejzu2rVrVatWrTzvV79+/WSM0dq1a53a77nnHgUGBl5xvXfccYckqWfPnlq0aJGOHj3qcW2XCwsL0z333OPU1rt3b+Xk5OjLL790au/Ro4fTNVdhYWHq2rWrvvzyS2VnZ+vcuXPaunWr7r//fhUvXtzRr2jRourTp4+OHDmS5/287777rnkb8luXJ/vazz//rN69eysqKkpFixZVYGCgWrVqJUnas2ePJGnfvn366aef9Oijj163a8/Wrl2r0NBQ3X///U7t/fr1k6Q8p2/btGmjsLAwx/PIyEhFRES49XnxySefqEWLFipevLgCAgIUGBioGTNmOLbvai1atEhpaWlOp7kHDBggY4xmzZp1TevGjYHQhRtGSEhIng9wu92uixcvenXcX3/9VcYYRUZGKjAw0OmxZcsWnTx50ql/eHh4nnXY7XZduHDB8fzEiRMqX778Fcc9ffq0goKC8oybmpqaZ9xrcXnNuRen59b866+/SpJGjhyZp5YhQ4ZI0lXVc+rUKZd3McbExDhe/zN373i86667tGzZMmVlZemRRx5R+fLlVadOHS1YsMDjGnNFRkbmaYuKinJZZ2775W2XLl3S2bNn9fvvv8sY45Vtv5KQkBCVKFHCqc3dfe3s2bNq2bKltm7dqnHjxmn9+vXatm2blixZIun/7y+514FdaR/3xKlTpxQVFZXnesuIiAgFBATkeb/c+Tl0ZcmSJerZs6fKlSunefPmKTk5Wdu2bdOAAQOu+bNmxowZCg4OVqdOnXT69GmdPn1a9erVU+XKlTV79myn6wNxc+LuRRRawcHBeS7AlfKGhzJlyshms2njxo0u75S7mrvnypYtqyNHjhTYp0yZMgoPD9eqVatcvv7n3+K9rUyZMpKkUaNGqUePHi773H777R6vNzw8XCkpKXnajx075jRursv/wS1It27d1K1bN2VkZGjLli0aP368evfurcqVKysuLs4R4C/fB/ILj7nB889SU1Md2+Gq/fK2oKAgx9GTIkWKeG3bC+JqPe7ua2vXrtWxY8e0fv16x9EtSXm+Z6ts2bKSdMV93BPh4eHaunWrjDFO23D8+HFlZWXleb+u1rx581SlShUtXLjQaRxXnxWe2LdvnzZt2iRJqlixoss+q1evVufOna9pHPg3jnSh0KpcubKOHz/u9I/ppUuXtHr1aqd+d999t4wxOnr0qGJjY/M86tat6/HYCQkJ2rdvX57TZ5ePe+rUKWVnZ7sc92pCztW6/fbbddttt+mrr75yWUtsbOxVhcB27drp+++/186dO53a58yZI5vNpjZt2lxz7Xa7Xa1atdJrr70mSdq1a5ckOe5c/frrr536L1++3OV60tPT87z20UcfqUiRIrrrrruc2pcsWeJ0VCQ9PV0rVqxQy5YtVbRoUYWGhqpp06ZasmSJ05GXnJwczZs3T+XLl1f16tXd2jZJVzx6cyXu7mu5IeTyXzTee+89p+fVq1dX1apVNXPmzALDiif1t2vXTmfPns3zZaRz5sxxvH492Gw2BQUFOQWu1NTUPHcvSu4dOcs1Y8YMSdIHH3ygdevWOT0SExMVGBiomTNnXpdtgP/iSBcKrV69eunFF1/Ugw8+qGeeeUYXL17U22+/necQf4sWLfTXv/5V/fv31/bt23XXXXcpNDRUKSkp2rRpk+rWravBgwd7NPawYcO0cOFCdevWTc8995yaNGmiCxcuaMOGDbr77rvVpk0bPfjgg5o/f746d+6soUOHqkmTJgoMDNSRI0e0bt06devWTd27d7+eb0mB3nvvPSUkJKhjx47q16+fypUrp99++0179uzRzp079cknn3i8zuHDh2vOnDnq0qWLxo4dq0qVKmnlypWaNm2aBg8e7FbwcOXFF1/UkSNH1K5dO5UvX16nT5/WlClTnK4/uuOOO3T77bdr5MiRysrK0i233KKlS5c6jkZcLjw8XIMHD9ahQ4dUvXp1JSYm6oMPPtDgwYPzHLkoWrSoOnTooBEjRignJ0evvfaa0tLSNGbMGEef8ePHq0OHDmrTpo1GjhypoKAgTZs2Td9++60WLFjg1pGt3MA/ZcoU9e3bV4GBgbr99ts9DsDu7mvNmzfXLbfcokGDBumll15SYGCg5s+fr6+++irPOqdOnaquXbuqWbNmGj58uCpWrKhDhw5p9erVmj9/vsf1P/LII5o6dar69u2rgwcPqm7dutq0aZNeffVVde7cucDrIz1x9913a8mSJRoyZIjuv/9+HT58WC+//LKio6P1448/OvWtW7eu1q9frxUrVig6OlphYWEufxnKysrSnDlzVLNmTT322GMux+3atauWL1+uEydOOI4U4ibky6v4AVfyu3sxNDQ0T19Xd+i5e/eiMcYkJiaaBg0amGLFiplbb73VvPPOOy7XaYwxM2fONE2bNjWhoaGmWLFipmrVquaRRx4x27dvd/Rp1aqVqV27dp5lXd0p+fvvv5uhQ4eaihUrmsDAQBMREWG6dOlifvjhB0efzMxMM2nSJFO/fn0THBxsihcvbmrUqGH+53/+x/z4449537wrvDf53b04ceLEPMtLMi+99JJT21dffWV69uxpIiIiTGBgoImKijJt27Y106dPL7AWY1zPizHG/PLLL6Z3794mPDzcBAYGmttvv91MnDjR6W7Igup05bPPPjMJCQmmXLlyJigoyERERJjOnTubjRs3OvXbt2+fiY+PNyVKlDBly5Y1Tz75pFm5cqXLuxdr165t1q9fb2JjY43dbjfR0dHmb3/7m9PdnLl1vvbaa2bMmDGmfPnyJigoyDRs2NCsXr06T50bN240bdu2dexTzZo1MytWrHDq4+rn4c9GjRplYmJiTJEiRfLUfbn8fo6McX9f27x5s4mLizMhISGmbNmy5rHHHjM7d+50+fOVnJxsEhISTMmSJY3dbjdVq1Y1w4cPd6v+y/dVY4w5deqUGTRokImOjjYBAQGmUqVKZtSoUebixYtO/XTZV3nkqlSpklt3G06YMMFUrlzZ2O12U7NmTfPBBx+4/HnavXu3adGihQkJCTGS8tSba9myZUaSmTx5cr5jrlq1yuVd0ri52Izh76MAQEFat26tkydP6ttvvy2w38GDB1WlShVNnDhRI0eOtKg6ADcKrukCAACwAKELAADAApxeBAAAsABHugAAACxA6AIAALAAoQsAAMACN92Xo+bk5OjYsWMKCwu7bn82AwAAID/GGKWnpysmJkZFiuR/POumC13Hjh1ThQoVfF0GAAAoZA4fPlzgH3q/6UJX7p+POHz4sEqUKOGVMTIzM7VmzRrFx8crMDDQK2PAPcyFf2Ae/Adz4T+YC/9gxTykpaWpQoUKV/wTXF4NXb///rueeuopxx+Jveeee/SPf/xDpUqVyneZfv366cMPP3Rqa9q0qbZs2eLWmLmnFEuUKOHV0BUSEqISJUrwg+RjzIV/YB78B3PhP5gL/2DlPFzpsiavhq7evXvryJEjWrVqlSTpr3/9q/r06aMVK1YUuFynTp00a9Ysx/OgoCBvlgkAAOB1Xgtde/bs0apVq7RlyxY1bdpUkvTBBx8oLi5Oe/fudfmX2HPZ7XZFRUV5qzQAAADLee0rI5KTk1WyZElH4JKkZs2aqWTJktq8eXOBy65fv14RERGqXr26Bg4cqOPHj3urTAAAAEt47UhXamqqIiIi8rRHREQoNTU13+USEhL0wAMPqFKlSjpw4IBeeOEFtW3bVjt27JDdbs/TPyMjQxkZGY7naWlpkv44h5uZmXkdtiSv3PV6a/1wH3PhH5gH/8Fc+A/mwj9YMQ/urtvj0DV69GiNGTOmwD7btm2T5PqCMmNMgRea9erVy/H/derUUWxsrCpVqqSVK1eqR48eefqPHz/eZT1r1qxRSEhIgXVeq6SkJK+uH+5jLvwD8+A/mAv/wVz4B2/Ow/nz593q53HoeuKJJ/Tggw8W2Kdy5cr6+uuv9euvv+Z57cSJE4qMjHR7vOjoaFWqVEk//vijy9dHjRqlESNGOJ7n3rYZHx/v1bsXk5KS1KFDB+5I8THmwj8wD/6DufAfzIV/sGIecs+yXYnHoatMmTIqU6bMFfvFxcXpzJkz+s9//qMmTZpIkrZu3aozZ86oefPmbo936tQpHT58WNHR0S5ft9vtLk87BgYGen0nt2IMuIe58A/Mg/9gLvwHc+EfvDkP7q7XaxfS16xZU506ddLAgQO1ZcsWbdmyRQMHDtTdd9/tdOdijRo1tHTpUknS2bNnNXLkSCUnJ+vgwYNav369unbtqjJlyqh79+7eKhUAAMDrvPoHr+fPn6+6desqPj5e8fHxqlevnubOnevUZ+/evTpz5owkqWjRovrmm2/UrVs3Va9eXX379lX16tWVnJx8xW95BQAA8Gde/XLU0qVLa968eQX2McY4/r9YsWJavXq1N0sCAADwCa8e6QIAAMAfCF0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYwJLQNW3aNFWpUkXBwcFq3LixNm7cWGD/DRs2qHHjxgoODtatt96q6dOnW1EmAACA13g9dC1cuFDDhg3T888/r127dqlly5ZKSEjQoUOHXPY/cOCAOnfurJYtW2rXrl3629/+pqeeekqLFy/2dqkAAABe4/XQ9eabb+rRRx/VY489ppo1a2ry5MmqUKGC3n33XZf9p0+frooVK2ry5MmqWbOmHnvsMQ0YMECTJk3ydqkAAOAmk5MjHTsWqnPnfF2JFODNlV+6dEk7duzQc88959QeHx+vzZs3u1wmOTlZ8fHxTm0dO3bUjBkzlJmZqcDAQKfXMjIylJGR4XielpYmScrMzFRmZub12Iw8mjZtqkOHDslut8tms3llDLjHGKOMjAzmwseYB//BXPgP5sJ6xtiUnV1Zly7VVWZmvf/+t66Maa833nhCe/a85ZVx3c0bXg1dJ0+eVHZ2tiIjI53aIyMjlZqa6nKZ1NRUl/2zsrJ08uRJRUdHO702fvx4jRkzJs961qxZo5CQkGvcAtcOHTqkU6dOeWXdAADAHTZJVSU1vuxR0kXfi0pNDVBiYqJXKjl//rxb/bwaunJdnvCNMQWmflf9XbVL0qhRozRixAjH87S0NFWoUEHx8fEqUaLEtZSdr4oVK0oSv734AX6T9A/Mg/9gLvwHc3H95H8Ey9W/8xcVGLhHQUFfKzDwj0d29jeqVClGnTtP9Ep9uWfZrsSroatMmTIqWrRonqNax48fz3M0K1dUVJTL/gEBAQoPD8/T3263y26352kPDAzMcyryetm6dasSExPVuXNnr40B92RmZjIXfoB58B/Mhf9gLq5OTo7000/Sjh3OD1e5xm6X6teXGjeWYmP/+G+tWsEKDGwoqaEka+bB3fV6NXQFBQWpcePGSkpKUvfu3R3tSUlJ6tatm8tl4uLitGLFCqe2NWvWKDY2lp0WAICbyLUHLOlGigZeP704YsQI9enTR7GxsYqLi9P777+vQ4cOadCgQZL+OD149OhRzZkzR5I0aNAgvfPOOxoxYoQGDhyo5ORkzZgxQwsWLPB2qQAAwEsKW8Byxeuhq1evXjp16pTGjh2rlJQU1alTR4mJiapUqZIkKSUlxek7u6pUqaLExEQNHz5cU6dOVUxMjN5++23dd9993i4VAABcBwQs1yy5kH7IkCEaMmSIy9dmz56dp61Vq1bauXOnl6sCAADXioDlPktCFwAAuPERsK4NoQsAAORBwLr+CF0AABRyBCxrELoAAChECFi+Q+gCAOAmRcDyL4QuAABuAgQs/0foAgDgBkPAujERugAA8GMErJsHoQsAAD9BwLq5EboAAPABAlbhQ+gCAMDLCFiQCF0AAFxXuQFr61abFi+upcmTi2rnTgIWCF0AAFy1go9gBUi6zdGXgAVCFwAAbvD0FGG9ejkKD/9FPXpUUJMmAQQsELoAALjc9bgGS8pWYuLX6ty5PGELkghdAIBCzlsXuWdmer923FgIXQCAQoO7COFLhC4AwE2JgAV/Q+gCANzwCFi4ERC6AAA3FAIWblSELgCA3yJg4WZC6AIA+AUCFm52hC4AgOUIWCiMCF0AAK8iYAF/IHQBAK4bAhaQP0IXAOCqELAAzxC6AABXdDUBKzdcEbCAPxC6AABOCFiAdxC6AKAQI2AB1iF0AUAhQcACfIvQBQA3oZwc6ccfCViAPyF0AcAN7s9HsLZtK6KkpOZ65JEAAhbgZwhdAHADufIpwqKSykoiYAH+htAFAH7qaq7BatQoWwEBX6tv3zqqXz+QgAX4EUIXAPiB63WRe2ZmjhITD6l+/ToELsDPELoAwGLcRQgUToQuAPAiAhaAXIQuALhOCFgACmJJ6Jo2bZomTpyolJQU1a5dW5MnT1bLli1d9l2/fr3atGmTp33Pnj2qUaOGt0sFALcQsAB4yuuha+HChRo2bJimTZumFi1a6L333lNCQoK+//57VaxYMd/l9u7dqxIlSjiely1b1tulAoBLBCwA14PXQ9ebb76pRx99VI899pgkafLkyVq9erXeffddjR8/Pt/lIiIiVKpUKW+XBwBOCFgAvMWroevSpUvasWOHnnvuOaf2+Ph4bd68ucBlGzZsqIsXL6pWrVr6+9//7vKUoyRlZGQoIyPD8Tztv5+MmZmZyszMvMYtcC13vd5aP9zHXPiHG3UecgPWzp027dpl044df/w3Lc2Wp6/dblSvnlHjxkaNGhk1bGjyDVi+fBtu1Lm4GTEX/sGKeXB33V4NXSdPnlR2drYiIyOd2iMjI5WamupymejoaL3//vtq3LixMjIyNHfuXLVr107r16/XXXfdlaf/+PHjNWbMmDzta9asUUhIyPXZkHwkJSV5df1wH3PhH/x5HnJypNTUUP30Uyn99FNJ7d9fSj//XErnz+dNTYGB2apcOU3Vqp1W1ap/PCpUSFdAgHH0OXr0j4e/8ue5KGyYC//gzXk4f/68W/1sxhhz5W5X59ixYypXrpw2b96suLg4R/srr7yiuXPn6ocffnBrPV27dpXNZtPy5cvzvObqSFeFChV08uRJp2vCrqfMzEwlJSWpQ4cOCuQ8gk8xF/7B3+bBW0ewbgT+NheFGXPhH6yYh7S0NJUpU0ZnzpwpMHt49UhXmTJlVLRo0TxHtY4fP57n6FdBmjVrpnnz5rl8zW63y26352kPDAz0+k5uxRhwD3PhH3wxD5dfg7V9u7RzpyfXYNkUGJg3jN3o+JnwH8yFf/DmPLi7Xq+GrqCgIDVu3FhJSUnq3r27oz0pKUndunVzez27du1SdHS0N0oEcAO59oB14x7BAnDj8/rdiyNGjFCfPn0UGxuruLg4vf/++zp06JAGDRokSRo1apSOHj2qOXPmSPrj7sbKlSurdu3aunTpkubNm6fFixdr8eLF3i4VgB8hYAG42Xg9dPXq1UunTp3S2LFjlZKSojp16igxMVGVKlWSJKWkpOjQoUOO/pcuXdLIkSN19OhRFStWTLVr19bKlSvVuXNnb5cK4Cpk5xhtPfCbdpy0KfzAb4qrFqGiRTw7XUfAAlAYWPKN9EOGDNGQIUNcvjZ79myn588++6yeffZZC6oCcK1WfZuiMSu+V8qZi5KKas6P2xVdMlgvda2lTnVcXxJAwAJQWPG3FwFclVXfpmjwvJ26/Pbn1DMXNXjeTr37l0aKrxVNwAKA/yJ0AfBYdo7RmBXf5wlckv5oM9LjM77XyVlRSjvj6msaCFgACh9CFwCPbf35t/+eUsyHTcq2X1RGid9kvxhOwAIAEboAXIGra7C+Sbuo4h2uvOzEf1zUoM4ELACQCF0A/sTdi9ztFYJV3I31xdYJJnABwH8RuoBC6lruImzQsLSGfB6sX9MuuryuyyYpqmSwmlQp7e3NAIAbBqELKASu/9c02DQ6sJYGz9spm+QUvHIvm3+pay2Pv68LAG5mhC7gJmPV92B1qhOtd//S6E/f0/WHqCt8TxcAFFaELuAG5usvGu1UJ1odakUpef9xrdm4VfEtm17VN9IDQGFA6AJuEL4OWPkpWsSmplVK69Qeo6ZVShO4ACAfhC7AD3kasBo0+P/hiu/BAgD/ROgCfIyABQCFA6ELsBAByzqzZ8/WsGHDdPr0aV+XAgCSpCK+LgC4WeXkSD/+KH38sfTMM1KbNtItt0jVq0sPPSRNmiStX/9H4LLbpaZNpSFDpBkzpN27pfR0acsWaepUacCAP67RuhEC17Rp01SlShUFBwercePG2rhx4xWXycjI0PPPP69KlSrJbreratWqmjlzplOfxYsXq1atWrLb7apVq5aWLl16TXUePHhQNptNERERSk9Pd3qtQYMGGj169DWtHwAux5Eu4DrgCNYfFi1apGHDhmnatGlq0aKF3nvvPSUkJOj7779XxYoV812uZ8+e+vXXXzVjxgxVq1ZNx48fV1ZWluP15ORk9erVSy+//LK6d++upUuXqmfPntq0aZOaNm16TTWnp6dr0qRJGjNmzDWtBwCuhNAFeIiAlb8pU6bo0Ucf1WOPPSZJmjx5slavXq13331X48ePd7nMqlWrtGHDBv38888qXfqPb7CvXLmyU5/JkyerQ4cOGjVqlCRp1KhR2rBhgyZPnqwFCxa4VdupU6eUkJCgqKgoLVq0yNH+5JNP6s0339Tjjz+uiIgITzcZANxG6AIKQMByX2Zmpnbu3OkIRrni4+O1efPmfJdbvny5YmNj9frrr2vu3LkKDQ3VPffco5dfflnFihWT9MeRruHDhzst17FjR02ePNmt2o4cOaL4+HjFxsZq5syZCgj4/x99Dz30kJKSkjR27Fi98847bm4tAHiO0AX8FwHr2qSnpys7O1uRkZFO7ZGRkUpNTc13uZ9//lmbNm1ScHCwli5dqpMnT2rIkCH67bffHNd1paamerzeXPv27VOHDh3UrVs3TZkyRTab8/eI2Ww2TZgwQV27dtXw4cNVtWpVdzcZADxC6EKhRMDynstDjTEmT9uf5eTkyGazaf78+SpZsqQk6c0339T999+vqVOnOo52ebpeSbpw4YLuvPNOPfTQQ5oyZUq+/Tp27Kg777xTL7zwgj766KMC1wkAV4vQhZseAcsaYWFhKlq0aJ6jT8ePH89zlOrPoqOjVa5cOUfgkqSaNWvKGKMjR47otttuU1RUlMfrlSS73a727dtr5cqVeuaZZ1S+fPl8+06YMEFxcXF65plnClwnAFwtQhduKgQs3wkMDFSjRo2UlJSk7t27O9qTkpLUrVu3fJdr0aKFPvnkE509e1bFixeX9McpwSJFijhCUlxcnJKSkpyu61qzZo2aN29eYE1FihTR3Llz1bt3b7Vt21br169XTEyMy75NmjRRjx499Nxzz7m9zQDgCUIXbli534O1cWM5ffllEe3cScDytaFDh6p///6KjY1VXFyc3n//fR06dEiDBg1y9Bk1apSOHj2qOXPmSJJ69+6tl19+Wf3799eYMWN08uRJPfPMMxowYIDj1OLQoUN111136bXXXlO3bt306aef6l//+pc2bdp0xZqKFi2q+fPn66GHHnIEr6ioKJd9X3nlFdWuXdvpQnsAuF74ZMENIf8jWIGSYp36ErB8p2fPnjpz5ozGjh2rlJQU1alTR4mJiapUqZKjT0pKig4dOuR4Xrx4cSUlJenJJ59UbGyswsPD1bNnT40bN87Rp3nz5vr444/197//XS+88IKqVq2qhQsXuv0dXQEBAVqwYIF69erlCF6uVK9eXQMGDND7779/dW8AABTAZowxvi7iekpLS1PJkiV15swZlShRwitjZGZmKjExUZ07d1Yg/5Jfd56dIjSqVOl3tW1bUnfcUZSA5SP8TPgP5sJ/MBf+wYp5cDd7cKQLPnWt12DddluWkpI2/veHqajl9QMA4C5CFyzjjYvcMzMtKR0AgGtG6IJXcBchAADOCF24ZgQsAACujNAFjxCwAAC4OoQu5IuABQDA9UPogiQCFgAA3kboKoQIWAAAWI/QdZMjYAEA4B8IXTcRAhYAAP6L0HWDImABAHBjIXTdAAhYAADc+AhdfoaABQDAzYnQ5UMELAAACg+vhq4vv/xSEydO1I4dO5SSkqKlS5fq3nvvLXCZDRs2aMSIEfruu+8UExOjZ599VoMGDfJmmZYgYAEAULh5NXSdO3dO9evXV//+/XXfffddsf+BAwfUuXNnDRw4UPPmzdO///1vDRkyRGXLlnVreX9BwAIAAJfzauhKSEhQQkKC2/2nT5+uihUravLkyZKkmjVravv27Zo0aZLfhi4CFgAAcIdfXdOVnJys+Ph4p7aOHTtqxowZyszMVKAfpJPMTGnhQpsWL66lt94qql27CFgAAODK/Cp0paamKjIy0qktMjJSWVlZOnnypKKjo/Msk5GRoYyMDMfztP8moMzMTGVmZl73GnNypCFDApSefpujzW43ql/fqFGjPx4NG5p8A5YXSirUcufYG3MN9zEP/oO58B/MhX+wYh7cXbdfhS5JstlsTs+NMS7bc40fP15jxozJ075mzRqFhIRc/wIltWhRTzabVLXqaVWteloVKqQrIMA4Xj969I8HrJOUlOTrEiDmwZ8wF/6DufAP3pyH8+fPu9XPr0JXVFSUUlNTndqOHz+ugIAAhYeHu1xm1KhRGjFihON5WlqaKlSooPj4eJUoUcIrdXbokKmkpCR16NDBL055FmaZmcyFP2Ae/Adz4T+YC/9gxTykubrOyAW/Cl1xcXFasWKFU9uaNWsUGxub7xtlt9tlt9vztAcGBnp9J7diDLiHufAPzIP/YC78B3PhH7w5D+6ut4hXRv+vs2fPavfu3dq9e7ekP74SYvfu3Tp06JCkP45SPfLII47+gwYN0i+//KIRI0Zoz549mjlzpmbMmKGRI0d6s0wAAACv8+qRru3bt6tNmzaO57mnAfv27avZs2crJSXFEcAkqUqVKkpMTNTw4cM1depUxcTE6O233/bbr4sAAABwl1dDV+vWrR0Xwrsye/bsPG2tWrXSzp07vVgVAACA9bx6ehEAAAB/IHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYgNAFAABgAUIXAACABQhdAAAAFiB0AQAAWIDQBQAAYAFCFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQhcAAIAFCF0AAAAWIHQBAABYwKuh68svv1TXrl0VExMjm82mZcuWFdh//fr1stlseR4//PCDN8sEAADwugBvrvzcuXOqX7+++vfvr/vuu8/t5fbu3asSJUo4npctW9Yb5QEAAFjGq6ErISFBCQkJHi8XERGhUqVKXf+CAAAAfMQvr+lq2LChoqOj1a5dO61bt87X5QAAAFwzrx7p8lR0dLTef/99NW7cWBkZGZo7d67atWun9evX66677nK5TEZGhjIyMhzP09LSJEmZmZnKzMz0Sp256/XW+uE+5sI/MA/+g7nwH8yFf7BiHtxdt80YY7xWxZ8Hstm0dOlS3XvvvR4t17VrV9lsNi1fvtzl66NHj9aYMWPytH/00UcKCQm5mlIBAADcdv78efXu3Vtnzpxxuib9cn51pMuVZs2aad68efm+PmrUKI0YMcLxPC0tTRUqVFB8fHyBG34tMjMzlZSUpA4dOigwMNArY8A9zIV/YB78B3PhP5gL/2DFPOSeZbsSvw9du3btUnR0dL6v2+122e32PO2BgYFe38mtGAPuYS78A/PgP5gL/8Fc+AdvzoO76/Vq6Dp79qz279/veH7gwAHt3r1bpUuXVsWKFTVq1CgdPXpUc+bMkSRNnjxZlStXVu3atXXp0iXNmzdPixcv1uLFi71ZJgAAgNd5NXRt375dbdq0cTzPPQ3Yt29fzZ49WykpKTp06JDj9UuXLmnkyJE6evSoihUrptq1a2vlypXq3LmzN8sEAADwOq+GrtatW6ug6/Rnz57t9PzZZ5/Vs88+e01j5o7n7vnVq5GZmanz588rLS2NQ8Y+xlz4B+bBfzAX/oO58A9WzENu5rjSvYl+f02Xp9LT0yVJFSpU8HElAACgMElPT1fJkiXzfd2yr4ywSk5Ojo4dO6awsDDZbDavjJF7h+Thw4e9dock3MNc+AfmwX8wF/6DufAPVsyDMUbp6emKiYlRkSL5f+/8TXekq0iRIipfvrwlY5UoUYIfJD/BXPgH5sF/MBf+g7nwD96eh4KOcOXyyz8DBAAAcLMhdAEAAFiA0HUV7Ha7XnrpJZdfygprMRf+gXnwH8yF/2Au/IM/zcNNdyE9AACAP+JIFwAAgAUIXQAAABYgdAEAAFiA0AUAAGABQtdVmDZtmqpUqaLg4GA1btxYGzdu9HVJhc6XX36prl27KiYmRjabTcuWLfN1SYXS+PHjdccddygsLEwRERG69957tXfvXl+XVSi9++67qlevnuMLIOPi4vT555/7uqxCb/z48bLZbBo2bJivSyl0Ro8eLZvN5vSIioryaU2ELg8tXLhQw4YN0/PPP69du3apZcuWSkhI0KFDh3xdWqFy7tw51a9fX++8846vSynUNmzYoMcff1xbtmxRUlKSsrKyFB8fr3Pnzvm6tEKnfPnymjBhgrZv367t27erbdu26tatm7777jtfl1Zobdu2Te+//77q1avn61IKrdq1ayslJcXx+Oabb3xaD18Z4aGmTZuqUaNGevfddx1tNWvW1L333qvx48f7sLLCy2azaenSpbr33nt9XUqhd+LECUVERGjDhg266667fF1OoVe6dGlNnDhRjz76qK9LKXTOnj2rRo0aadq0aRo3bpwaNGigyZMn+7qsQmX06NFatmyZdu/e7etSHDjS5YFLly5px44dio+Pd2qPj4/X5s2bfVQV4D/OnDkj6Y9/7OE72dnZ+vjjj3Xu3DnFxcX5upxC6fHHH1eXLl3Uvn17X5dSqP3444+KiYlRlSpV9OCDD+rnn3/2aT033R+89qaTJ08qOztbkZGRTu2RkZFKTU31UVWAfzDGaMSIEbrzzjtVp04dX5dTKH3zzTeKi4vTxYsXVbx4cS1dulS1atXydVmFzscff6ydO3dq27Ztvi6lUGvatKnmzJmj6tWr69dff9W4cePUvHlzfffddwoPD/dJTYSuq2Cz2ZyeG2PytAGFzRNPPKGvv/5amzZt8nUphdbtt9+u3bt36/Tp01q8eLH69u2rDRs2ELwsdPjwYQ0dOlRr1qxRcHCwr8sp1BISEhz/X7duXcXFxalq1ar68MMPNWLECJ/UROjyQJkyZVS0aNE8R7WOHz+e5+gXUJg8+eSTWr58ub788kuVL1/e1+UUWkFBQapWrZokKTY2Vtu2bdOUKVP03nvv+biywmPHjh06fvy4Gjdu7GjLzs7Wl19+qXfeeUcZGRkqWrSoDyssvEJDQ1W3bl39+OOPPquBa7o8EBQUpMaNGyspKcmpPSkpSc2bN/dRVYDvGGP0xBNPaMmSJVq7dq2qVKni65LwJ8YYZWRk+LqMQqVdu3b65ptvtHv3bscjNjZWDz/8sHbv3k3g8qGMjAzt2bNH0dHRPquBI10eGjFihPr06aPY2FjFxcXp/fff16FDhzRo0CBfl1aonD17Vvv373c8P3DggHbv3q3SpUurYsWKPqyscHn88cf10Ucf6dNPP1VYWJjjKHDJkiVVrFgxH1dXuPztb39TQkKCKlSooPT0dH388cdav369Vq1a5evSCpWwsLA81zSGhoYqPDycax0tNnLkSHXt2lUVK1bU8ePHNW7cOKWlpalv374+q4nQ5aFevXrp1KlTGjt2rFJSUlSnTh0lJiaqUqVKvi6tUNm+fbvatGnjeJ57fr5v376aPXu2j6oqfHK/OqV169ZO7bNmzVK/fv2sL6gQ+/XXX9WnTx+lpKSoZMmSqlevnlatWqUOHTr4ujTAJ44cOaKHHnpIJ0+eVNmyZdWsWTNt2bLFp/9e8z1dAAAAFuCaLgAAAAsQugAAACxA6AIAALAAoQsAAMAChC4AAAALELoAAAAsQOgCAACwAKELAADAAoQuAAAACxC6AAAALEDoAgAAsAChCwAAwAL/D+J8CGst6PbTAAAAAElFTkSuQmCC\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "cea905bad6214edcae92d53ddf6236e4": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_34fcf1bcf05c45388cb264a79e2957cf",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_097335eec168447e84a2e176f5e4b09f",
+       "value": 2
+      }
+     },
+     "d1243bb73d99438fb10124692d04bd75": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "180px"
+      }
+     },
+     "decee5f068bf4f9a9953bb1440c517b7": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_a81a014c7e9b4244b99d90f6a675e007",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "e28fb4589aa54b48ac27afcbf0c851b1": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "ee74131150b643e98b2d8893baeff48a": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "400px"
+      }
+     },
+     "ef4b01a438fa480cb0bccc1f1741d08e": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "efabf2a4993847ef8f6973a4d2aad604": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_3db4c46a998f4fb1a2cc006abec9e021",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_212999408cd24d8c957b1110da7b2b47",
+       "value": 2
+      }
+     },
+     "f2711953728449f9bf46f1396288470c": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_0d267a54ebc549858e9234f40961968b",
+        "IPY_MODEL_3c74c46546f54680b9bfdc46c0ff6793",
+        "IPY_MODEL_a2b3cea1700646bc9f54cc7a7053e41f"
+       ],
+       "layout": "IPY_MODEL_8a58f80536cc4e77a956e8a17b19d6c5"
+      }
+     },
+     "f457a2d1138b4b999d8991453225ce2d": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "f48d744a516d4abb9151bf88586ab9d5": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     }
+    },
+    "version_major": 2,
+    "version_minor": 0
+   }
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_w.ipynb b/book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_w.ipynb
new file mode 100644
index 0000000..02b47c6
--- /dev/null
+++ b/book/advanced_structural_mechanics/influence_line_cantilever/Interactive_influence_line_simple_w.ipynb
@@ -0,0 +1,1244 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "cb00690e",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "#  Influence line displacement\n",
+    "\n",
+    "Click {fa}`rocket` --> {guilabel}`Live Code` on the top right corner of this screen to investigate some influence lines!"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "87220397",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    }
+   },
+   "source": [
+    "![figuur 1](../data_influence_line_cantilever/Structure_simple_cantilever.gif)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "c2a2b984",
+   "metadata": {
+    "tags": [
+     "thebe-remove-input-init",
+     "auto-execute-page"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "import micropip\n",
+    "await micropip.install(\"ipympl\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "2a09cc31",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import sympy as sym\n",
+    "import matplotlib.pylab as plt\n",
+    "from ipywidgets import widgets, interact\n",
+    "from matplotlib.patches import Arc,StepPatch\n",
+    "\n",
+    "%matplotlib widget"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "9833b193",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "EI, x = sym.symbols('EI, x',real=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "bde8c2e5",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [],
+   "source": [
+    "Av, Am = sym.symbols('Av, Bv',real=True)\n",
+    "a, L= sym.symbols('a, L ',positive=True,real=True)\n",
+    "C1, C2, C3, C4 = sym.symbols('C1, C2, C3, C4')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "8688f806",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Find displacement $w$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "59b12457",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\begin{cases} \\frac{x}{750} - \\frac{1}{1125} & \\text{for}\\: x > 2 \\\\\\frac{x^{2} \\cdot \\left(6 - x\\right)}{9000} & \\text{for}\\: x > 0 \\\\0 & \\text{otherwise} \\end{cases}$"
+      ],
+      "text/plain": [
+       "Piecewise((x/750 - 1/1125, x > 2), (x**2*(6 - x)/9000, x > 0), (0, True))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "e381041044754569a5feb2ac92be4071",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "image/png": 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",
+      "text/html": [
+       "\n",
+       "            <div style=\"display: inline-block;\">\n",
+       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+       "                    Figure\n",
+       "                </div>\n",
+       "                <img 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' width=640.0/>\n",
+       "            </div>\n",
+       "        "
+      ],
+      "text/plain": [
+       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "q = -Am * sym.SingularityFunction(x,0,-2) - Av * sym.SingularityFunction(x,0,-1) + 1*sym.SingularityFunction(x,a,-1)\n",
+    "V = -sym.integrate(q,x)+C1\n",
+    "M = sym.integrate(V,x)+C2\n",
+    "kappa = M / EI\n",
+    "phi = sym.integrate(kappa,x)+C3 \n",
+    "w = - sym.integrate(phi,x)+C4 \n",
+    "eq1 = sym.Eq(w.subs(x,0),0)\n",
+    "eq2 = sym.Eq(phi.subs(x,0),0)\n",
+    "eq3 = sym.Eq(M.subs(x,-1),0)\n",
+    "eq4 = sym.Eq(M.subs(x,L+1),0)\n",
+    "eq5 = sym.Eq(V.subs(x,-1),0)\n",
+    "eq6 = sym.Eq(V.subs(x,L+1),0)\n",
+    "sol = sym.solve([eq1,eq2,eq3,eq4,eq5,eq6],[C1,C2,C3,C4,Av,Am])\n",
+    "w_sol = w.subs(sol)\n",
+    "w_subs = w_sol.subs([(L,6),(a,2),(EI,1500)])\n",
+    "w_numpy = sym.lambdify([L,a,EI,x],w_sol.rewrite(sym.Piecewise))\n",
+    "phi_sol = phi.subs(sol)\n",
+    "phi_subs = phi_sol.subs([(L,6),(a,2),(EI,1500)])\n",
+    "phi_numpy = sym.lambdify([L,a,EI,x],phi_sol.rewrite(sym.Piecewise))\n",
+    "\n",
+    "display(sym.simplify(w_subs.rewrite(sym.Piecewise)))\n",
+    "x_plot = np.linspace(0,6,100)\n",
+    "plt.plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "plt.plot(x_plot,w_numpy(L=6,a=2,EI=1500,x=x_plot),color=\"blue\")\n",
+    "plt.xlabel('$x$')\n",
+    "plt.ylabel('displacement')\n",
+    "axs = plt.gca()\n",
+    "axs.grid()\n",
+    "axs.invert_yaxis()\n",
+    "title0 = 'Displacement for force at $x_F =  2 $'\n",
+    "axs.spines['right'].set_color('none')\n",
+    "axs.spines['top'].set_color('none')\n",
+    "axs.spines['bottom'].set_position('zero')\n",
+    "axs.spines['left'].set_position('zero')\n",
+    "axs.set_title(title0);\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "f099b595",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Find influence line $w$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "38359ff9",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "fragment"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/latex": [
+       "$\\displaystyle \\begin{cases} \\frac{x}{750} - \\frac{1}{1125} & \\text{for}\\: x > 2 \\\\\\frac{x^{2} \\cdot \\left(6 - x\\right)}{9000} & \\text{for}\\: x > 0 \\\\0 & \\text{otherwise} \\end{cases}$"
+      ],
+      "text/plain": [
+       "Piecewise((x/750 - 1/1125, x > 2), (x**2*(6 - x)/9000, x > 0), (0, True))"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "23811e4c27de4bda9dd8c9820d87b169",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "image/png": 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",
+      "text/html": [
+       "\n",
+       "            <div style=\"display: inline-block;\">\n",
+       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+       "                    Figure\n",
+       "                </div>\n",
+       "                <img 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' width=640.0/>\n",
+       "            </div>\n",
+       "        "
+      ],
+      "text/plain": [
+       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "display(sym.simplify(w_subs.rewrite(sym.Piecewise)))\n",
+    "plt.figure()\n",
+    "x_plot = np.linspace(0,6,100)\n",
+    "plt.plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "plt.plot(x_plot,w_numpy(L=6,a=6,EI=1500,x=x_plot),color=\"blue\")\n",
+    "plt.xlabel('$x_F$')\n",
+    "plt.ylabel('Influence factor displacement')\n",
+    "axs = plt.gca()\n",
+    "axs.grid()\n",
+    "axs.invert_yaxis()\n",
+    "title0 = 'Influence line for displacement at $x_w =  6 $'\n",
+    "axs.set_title(title0);\n",
+    "axs.spines['right'].set_color('none')\n",
+    "axs.spines['top'].set_color('none')\n",
+    "axs.spines['bottom'].set_position('zero')\n",
+    "axs.spines['left'].set_position('zero')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "f6dada0d",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "slide"
+    }
+   },
+   "source": [
+    "## Comparison displacement and influence line for displacement at $x = ...$ "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "d93cc9eb",
+   "metadata": {
+    "hideCode": true,
+    "hidePrompt": true,
+    "slideshow": {
+     "slide_type": "skip"
+    },
+    "tags": [
+     "thebe-remove-input-init"
+    ]
+   },
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "23fe129193fb42b989ecd07d80a8d5d2",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "interactive(children=(FloatSlider(value=2.0, description='Location displacement x_w = ... (m)', layout=Layout(…"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "3de2acbb182e4a88a899d930464eac29",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "image/png": 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",
+      "text/html": [
+       "\n",
+       "            <div style=\"display: inline-block;\">\n",
+       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+       "                    Figure\n",
+       "                </div>\n",
+       "                <img 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' width=700.0/>\n",
+       "            </div>\n",
+       "        "
+      ],
+      "text/plain": [
+       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "x = np.linspace(0,6,100)\n",
+    "fig, axs = plt.subplots(2, 1, figsize=(7, 6))\n",
+    "\n",
+    "def func(a,b):\n",
+    "    axs[0].clear()  # Clear the existing plot\n",
+    "    axs[1].clear()\n",
+    "    axs[0].plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "    axs[0].grid()\n",
+    "    axs[0].plot(x,w_numpy(6,b,1500,x),color='blue')\n",
+    "    axs[0].plot(a,w_numpy(6,b,1500,a),marker='o')\n",
+    "    axs[0].annotate('%.2f mm' % np.round(w_numpy(6,b,1500,a)*1000,2),xy = [a,w_numpy(6,b,1500,a)-0.00005])\n",
+    "    axs[0].annotate(text='', xy=(b,0), xytext=(b,-0.01), arrowprops=dict(arrowstyle='simple'))\n",
+    "    axs[0].set_ylim([-0.009,0.05])\n",
+    "    axs[0].invert_yaxis()\n",
+    "    title0 = 'Displacement for force at at $x_F = '+str(b)+'$, showing displacement at $x_w = '+str(a)+'$'\n",
+    "    axs[0].set_title(title0)\n",
+    "    axs[1].plot([0,6],[0,0],color='black',linewidth=2)\n",
+    "    axs[1].grid()\n",
+    "    axs[1].plot(x,w_numpy(6,a,1500,x),color='blue')\n",
+    "    axs[1].plot(b,w_numpy(6,a,1500,b),marker='o')\n",
+    "    axs[1].annotate('%.2f mm' % np.round(w_numpy(6,a,1500,b)*1000,2),xy = [b,w_numpy(6,a,1500,b)-0.00005])\n",
+    "    axs[1].set_ylim([-0.009,0.05])\n",
+    "    axs[1].invert_yaxis()\n",
+    "    title1 = 'Influence line for displacement at $x_w = '+str(a)+'$'\n",
+    "    axs[1].set_title(title1)\n",
+    "\n",
+    "    axs[0].spines['right'].set_color('none')\n",
+    "    axs[0].spines['top'].set_color('none')\n",
+    "    axs[0].spines['bottom'].set_position('zero')\n",
+    "    axs[0].spines['left'].set_position('zero')\n",
+    "    axs[1].spines['right'].set_color('none')\n",
+    "    axs[1].spines['top'].set_color('none')\n",
+    "    axs[1].spines['bottom'].set_position('zero')\n",
+    "    axs[1].spines['left'].set_position('zero')\n",
+    "    plt.draw()  \n",
+    "\n",
+    "    \n",
+    "interact(func, a = widgets.FloatSlider(min=0, max=6, value=2, step=0.1, description=\"Location displacement x_w = ... (m)\",readout_format='.1f',style= {'description_width': '250px'},layout = {'width': '500px'}),\n",
+    "         b = widgets.FloatSlider(min=0, max=6, value=2, step=0.1, description=\"Location force x_F = ... (m)\",readout_format='.1f',style= {'description_width': '250px'},layout = {'width': '500px'}) );"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "4050da4a",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "celltoolbar": "Diavoorstelling",
+  "hide_code_all_hidden": true,
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.9.18"
+  },
+  "widgets": {
+   "application/vnd.jupyter.widget-state+json": {
+    "state": {
+     "030c899a770e452fa6c19a16f5f72909": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "08a936a0195040239977989233eba3f7": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "097335eec168447e84a2e176f5e4b09f": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
+     "09b41ffb62c74929ac670ed540e930a7": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
+     "0a93d39eeb014f6ca51015777cfb0382": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
+     "0d267a54ebc549858e9234f40961968b": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location rotation $x_\\phi$ = ... (m)",
+       "layout": "IPY_MODEL_a82882d52b124039a020b3cb7253ca97",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_c7478192ea14409ea0020e3d305db9b6",
+       "value": 2
+      }
+     },
+     "0e97aea98c334df19bc1e49b44ba0549": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_4f45eff818fa405895e6c878b107632b",
+        "IPY_MODEL_efabf2a4993847ef8f6973a4d2aad604",
+        "IPY_MODEL_decee5f068bf4f9a9953bb1440c517b7"
+       ],
+       "layout": "IPY_MODEL_ef4b01a438fa480cb0bccc1f1741d08e"
+      }
+     },
+     "142c84e6b6664ff38902598288ccb50c": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location unit load $x_F = $ ... (m)",
+       "layout": "IPY_MODEL_c6c9547873fb4b108a305afee194ae2c",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.1,
+       "style": "IPY_MODEL_4b638ef934004b04a1fb36e202122a58",
+       "value": 2
+      }
+     },
+     "1809c9b8edbd453ab87832b22601e0a5": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "212999408cd24d8c957b1110da7b2b47": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
+     "2f4d1c0ad87841b895be3ee0f9506786": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location rotation $x_\\phi$ = ... (m)",
+       "layout": "IPY_MODEL_b03ac1eca6fc499b90b1e4fa98004ad9",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_0a93d39eeb014f6ca51015777cfb0382",
+       "value": 2
+      }
+     },
+     "324eb4bee8d449ae8adc43504fb47432": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location unit load $x_F = $ ... (m)",
+       "layout": "IPY_MODEL_ee74131150b643e98b2d8893baeff48a",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.1,
+       "style": "IPY_MODEL_80cb13f155db479eb13bba8b58dbb303",
+       "value": 2
+      }
+     },
+     "34fcf1bcf05c45388cb264a79e2957cf": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "38437965d3b4455495bc7ae48c750fef": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_818550c5e40f403daf10d168d3afe423",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "3c74c46546f54680b9bfdc46c0ff6793": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_08a936a0195040239977989233eba3f7",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_c68a1d748f7b4965a8a676e735ade730",
+       "value": 2
+      }
+     },
+     "3cc2c2c0f1c54e2eb2baa25f5a7d8c17": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "3d6a9a32f81a4e7f97e6a02fdf27747d": {
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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "5999d83c1f3b450f884587961917827a": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "400px"
+      }
+     },
+     "613b69c3f7a940999f4d517d8875e270": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "200px"
+      }
+     },
+     "6357aa1ae06348ec8646dfa1affee8ae": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "180px"
+      }
+     },
+     "67821cda3cdf4758a7a290525f4fe334": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "6a3206e7c662439e9952a34c8e1b1c11": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "450px"
+      }
+     },
+     "6b86b81b263b47d6bff88eae7ac27298": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "400px"
+      }
+     },
+     "6c83f03cf9b542e7867f74bf02fd309f": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_b6bfcc1721ed4ff690a3d14eb9aa24c9",
+        "IPY_MODEL_b2bcba57ab5a4d8f8a16c2dd6011e987",
+        "IPY_MODEL_c7ef95d387614764b178ae0f80debc89"
+       ],
+       "layout": "IPY_MODEL_9e60aac8a0184880817218d4acbaa2c7"
+      }
+     },
+     "6e565f5b398f4650abb8949fc453bd88": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "720825e419354d708cd90f75607e8da5": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location displacement $x_w$ = ... (m)",
+       "layout": "IPY_MODEL_3cc2c2c0f1c54e2eb2baa25f5a7d8c17",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_09b41ffb62c74929ac670ed540e930a7",
+       "value": 2
+      }
+     },
+     "760d3d9f63d8405b89c5fecfed33ee53": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     },
+     "801df073b4044471be6694da65e4a542": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_9ee1c3b31a14458685d906e8d03bd369",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
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+        }
+       ]
+      }
+     },
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+      }
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+      "state": {
+       "description": "Location unit load $x_F = $ ... (m)",
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+      "model_name": "VBoxModel",
+      "state": {
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+        "widget-interact"
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+        "IPY_MODEL_c8e7012749b84fa39305a33c26a799b3"
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+       "layout": "IPY_MODEL_3f039c47c7834b83a3d9ae18f204d6c7"
+      }
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+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_720825e419354d708cd90f75607e8da5",
+        "IPY_MODEL_c40ca55f04234e45b85cecb3c42566c2",
+        "IPY_MODEL_58bd61bdd2a44d75b61689a5b533bd00"
+       ],
+       "layout": "IPY_MODEL_57ea6daf56ad4016a935df2b14caa4fa"
+      }
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+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "9ee1c3b31a14458685d906e8d03bd369": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "a2b3cea1700646bc9f54cc7a7053e41f": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_e28fb4589aa54b48ac27afcbf0c851b1",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "a81a014c7e9b4244b99d90f6a675e007": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "a82882d52b124039a020b3cb7253ca97": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "b03ac1eca6fc499b90b1e4fa98004ad9": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "500px"
+      }
+     },
+     "b2bcba57ab5a4d8f8a16c2dd6011e987": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_6a3206e7c662439e9952a34c8e1b1c11",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_40e3c2b00bc54b8baf5896b0d60fb9e0",
+       "value": 2
+      }
+     },
+     "b6bfcc1721ed4ff690a3d14eb9aa24c9": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location shear force $x_V$ = ... (m)",
+       "layout": "IPY_MODEL_3e7a4aeafd38411eab5f3749620bae52",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_613b69c3f7a940999f4d517d8875e270",
+       "value": 2
+      }
+     },
+     "b747b04968174ff7aca2e216a529da7c": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_030c899a770e452fa6c19a16f5f72909",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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lCzt+/Djbu3cve/vtt2VG0ZqZmbFevXqx7du3sxMnTrDDhw+zL774gnl7e1db//po64bKNyUlhbVo0YJ5enqygoIC9vz5c36ztEDA9Dv2YQDYgwcPWF5eHhMIBOz27dvVPvf69NlnnzEAbPDgwZJRhK9uYidPnmSamppsyZIlMnn4+PgwMzMzSVtPnTqVAWC7d++WSocK0/FU5vnz5+yNN95g69atY7/99hs7efIkW7duHdPV1WXjx49njNXuXKvN+zkqKkpyE3t8fLxk/3vvvccAMDMzM1ZaWlptmbWpW8VRtL/++itzc3Nj9vb2TCAQVPs6VVdWbZ53Ve9jec+D6vJ4nfZ43c/ThjiPGePTQWlqakqNrGaMsR49erCkpCTm4uLC7t69y3r16sVSU1OZvb29ZFS2Ish7PjNW9Tkt7/nckCjAU0HVBXgvX75krVq1Yu3bt2clJSWMsfL5kQwMDJienh7r3bs3++2332SOnTdvHrOzs2MaGhpS8xZlZ2ezKVOmMCsrK6avr8/69u3LTp06xby8vGQ+lKrKo7p58Kqrl6ICvNctX1Hl1VTmtWvX2FtvvcUsLCyYjo4Oa9WqFXv33Xdl5sFLSUlhkydPZs2bN2fa2tqsWbNmzMPDgy1fvrza+tdHWzdEvo8fP2Zt27ZlPXr0kIwWFgd4QvtuDBpakgDvzJkzzNjY+LVH49WGl5dXtaP1xMTvl8WLF8vkkZeXx2bMmMFsbGyYjo4O69q1K9u7d69MGgBs3Lhx1dansLCQBQcHs65duzJjY2Omp6fHOnbsyBYvXixZaaW255q87+fs7GymoaHBDAwMWHFxsWT/nj17GAA2evRomWNeJ8BjjLEDBw5I5sFr1aoVW716NZsxYwYzMzOr9nWqrqzaPu/K3se1OQ+qyuN12uN1P08b4jwWmzp1KhMKhVJ1GjBgAFu5ciV78803GWN8VPaKFSvYW2+9VW29X5e85zNjVZ/T8pzPDU3AGGN16PgjhJAGlZOTA1NTU1j6z4WGjh4yflmMBw8e4LfffsPPP/+MEydOKLuK9S46OhrDhg3D5cuX0aVLF2VXR2WJRCJ0794dzZs3R2xsrLKrQ+pozJgxOHPmDLZv344hQ4ZIHkdGRtbrykFNBQ2yIIQ0apcvX0aPHj2UXQ2FOHHiBMaNG0fBXQVTpkyBj48PbG1tkZ6ejs2bN+P69ev46quvlF018hrMzMxgaGiIwYMHA+CDLiwsLCi4qyPqwSOENApV9eDVNLUMUT8BAQFISEjA06dPoa2tjR49emD+/PmSwIAQQj14hBBCGpmff/5Z2VUgROXRNCmEEEIIIWqGAjxCCCGEEDVDAR4hhBBCiJqhe/BeQ1lZGR4/fgwjIyOlLSZMSFORm5srsy8vL6/S/YQQoq4YY8jLy4OdnR00NKrup6MA7zU8fvwYLVu2VHY1CGmynJyclF0FQghRippmEaAA7zUYGRkB4C+ysbGxQsoQiUSIjY2Fr69vpevwkYZB7aB8OTk5aNWqldS+a9euoXnz5kqqEaHzQjVQO6iOhmiL3NxctGzZUhKDVIUCvNcgvixrbGys0ABPX18fxsbGdOIqEbWD8lU2ZaeRkZHCzj1SMzovVAO1g+poyLao6dYwGmRBCCGEEKJmKMAjhBBCCFEzFOARQgghhKgZCvAIISrt5cuXsLK2hpmZGQBAoKEBaGgCAFq1agULy2Z49uyZMqtICCEqhwI8QohKEwqFsLBsBg0DM1gMDYWuQw/otugMizdnQtPECkbGxjWOJiOEkKaGAjxCiErT0NDAsiURKM1/Bi2z5tDQ1oVASxs6Vg4oef4EEYvCaeQgIYRUQAEeIUTljR49Go5OnZGX8JNkX27CPtg7tMGECROUWDNCCFFNFOARQlSehoYGlkYsRkFKMgofXkdxxn94cTMBi8MXQkuLpvMkhJCK6JORENIojBkzBh07OeFB4l5ASwj71g4ICgpSdrUIIUQlKbwHb9OmTXBwcICuri5cXFxw6tSpatPHx8fDxcUFurq6aNOmDTZv3iyTJioqCk5OThAKhXBycsKBAwdqXS5jDBEREbCzs4Oenh769++Pq1evvt6TJYQojPhevIL/LqLgViLCFy6g3jtCCKmCQgO8yMhIhIaGYsGCBUhOToanpyeGDBmC1NTUStOnpKRg6NCh8PT0RHJyMubPn48ZM2YgKipKkiYxMRGBgYEICgrC5cuXERQUhICAAJw7d65W5a5duxZffPEFNmzYgPPnz8PGxgY+Pj7Iy8tT3AtCCHktY8aMgWMnJzSztsb48eOVXR1CCFFdTIF69erFgoODpfY5OjqyuXPnVpp+9uzZzNHRUWrftGnTWO/evSWPAwIC2ODBg6XS+Pn5sXHjxsldbllZGbOxsWGrV6+W/L2wsJCZmJiwzZs3y/38cnJyGACWk5Mj9zG1VVRUzA4ePMiKi4sVVgapWXExtYOqSE1NZd9//z21hQqg80I1UDuojqKiYnbggGLbQt7YQ2HXN4qLi5GUlIS5c+dK7ff19UVCQkKlxyQmJsLX11dqn5+fH7Zt2waRSARtbW0kJiZi5syZMmnWr18vd7kpKSlIT0+XKksoFMLLywsJCQmYNm1apfUrKipCUVGR5HFubi4AvriwSCSq6qWos/x8wN7+Ahg7AGPjkBoXFiaKwxhDUVERhEIhtYOSidti0aJF1BZKRueFaqB2UA2MaeD58xVgLB2OjkukrizWJ3njDYUFeJmZmSgtLYW1tbXUfmtra6Snp1d6THp6eqXpS0pKkJmZCVtb2yrTiPOUp1zxz8rS3L9/v8rntGrVKixZskRmf2xsLPT19as8rq7272+HvDx3AC7Izx8J4I96L4MQQgghr0sHwG4AbwEow3//HUJ0dLRCSiooKJArncLvUK74bYIxVu03jMrSV9wvT571leZV8+bNQ1hYmORxbm4uWrZsCV9fXxgbG1d5XF35+QGHD/+J58/9AETB0nIShMLKez+JYtE3ZNVBbaE6qC1UA7WDcpWVGeDZs20oKuoLoAiGhsFo06YAQ4cOVUh54quHNVFYgGdpaQlNTU2Z3rqMjAyZnjMxGxubStNraWnBwsKi2jTiPOUp18bGBgDvybO1tZWrbgC/jCsUCmX2a2trK2QmfW1t4NGjAejfPw3nz9vi5cufcfgw4O5e70WRGohEIkRHR2Po0KG0aoKSUVuoDmoL1UDtoDxPnwJDhwJpaYChIfDrr5ooLByJoUO3KKwt5M1XYaNodXR04OLigri4OKn9cXFx8PDwqPQYd3d3mfSxsbFwdXWVPKGq0ojzlKdcBwcH2NjYSKUpLi5GfHx8lXVTFm1t4NNPL2DgwDK8eAEMGQIkJyu7VoQQQkjTlpoKeHoCFy4AlpbAiRPAgAFM2dWSUOgl2rCwMAQFBcHV1RXu7u7YsmULUlNTERwcDIBf8nz06BF27doFAAgODsaGDRsQFhaGqVOnIjExEdu2bcPevXsleX788cfo168f1qxZA39/fxw6dAhHjx7F6dOn5S5XIBAgNDQUK1euRPv27dG+fXusXLkS+vr6Kjn1go5OGX79tRTDh2vg9GnA1xeIjwecnJRdM0IIIaTpuXaN/y9+9Aho1QqIjQU6dgQUMN6yzhQa4AUGBiIrKwtLly5FWloanJ2dER0dDXt7ewBAWlqa1Nx0Dg4OiI6OxsyZM7Fx40bY2dnh66+/xpgxYyRpPDw8sG/fPixcuBDh4eFo27YtIiMj4ebmJne5ADB79my8fPkSISEhyM7OhpubG2JjY2FkZKTIl6TODAyA338HBg3i3xYGDQJOnQLatlV2zQghhJCm4+xZflk2Oxvo1IkHdy1aKLtWsgRMPIqB1Fpubi5MTEyQk5OjkEEWgOy9FVlZQP/+wJUrgL098Ndf/NsDUSy6x0V1UFuoDmoL1UDt0HBiYoAxY4CCAqB3b97x8r8hAgAapi3kjT0UvlQZqV8WFkBcHNC+PXD/Pu/Jq2LWGUIIIYTUk59+AoYP58Gdnx9w9Kh0cKdqKMBrhGxsgGPHeA/e7duAjw+QlaXsWhFCCCHq6ZtvgHfeAUpKgLffBg4f5rdOqTIK8Bqpli15kGdryy/X+vkBOTnKrhUhhBCiPhgDwsOBGTP4448+AnbvBnR0lFsveVCA14i1bcu7iC0tgaQkftPnixfKrhUhhBDS+JWWAh98ACxfzh8vXQp89RWg0Ugip0ZSTVIVJyc+gsfUFEhIAPz9gcJCZdeKEEIIabyKioDAQOC77wCBANi8mffkNaaFQijAUwNvvAH88QefRfvYMWDsWKC4WNm1IoQQQhqf3Fx+RSwqil+K/flnYNo0Zdeq9ijAUxPi4dq6usCRI+U3gxJCCCFEPhkZgLc3cPw47zSJjuadJo0RBXhqxMsLOHiQf+P49Vdg8mSgrEzZtSKEEEJUX0oK0KcPcPEi0KwZcPIkMHCgsmtVdxTgqRk/P96drKkJ/PgjEBLCRwERQgghpHL//AN4eAB37vApyE6fBlxclF2r10MBnhry9+fDuAUCfoPoJ59QkEcIIYRU5tQpoF8/vmiAszMfsNihg7Jr9foowFNT48YB33/Pf//yS2DRIuXWhxBCCFE1v/0G+PryeWT79OHLf9rZKbtW9YMCPDU2eTKwYQP/fflyYOVK5daHEEIIURXbtwOjRvGpxYYN41OOmZkpu1b1hwI8Nffhh8Datfz3BQuA9euVWh1CCCFEqRgD1qzhnSClpcCkScD+/YC+vrJrVr8owGsCPv0UiIjgv8+cCWzZotTqEEIIIUpRVsbvS587lz+ePZv35GlrK7deiqCl7AqQhrFoEVBQwHvzgoMBPT0gKEjZtSKEEEIaRnEx77Xbs4c//uwzHuypKwrwmgiBAFi9mgd5GzYA774LCIVAQICya0YIIYQo1osXfMLimBhASwv44Qf17+SgAK8JEQj4QskvXwLbtvHVLnR1gREjlF0zQgghRDEyM4E33wT+/ptfvfr1V74Umbqje/CaGA0NPjfe+PF8KbO33gL+/FPZtSKEEELq3/37QN++PLgzN+dLkDWF4A6gAK9J0tQEdu4Exozh9ySMHMmXZCGEEELUxZUrfHWKmzeBli356hS9eyu7Vg2HArwmSksL+Okn3m0tngMoIUHZtSKEEEJe3+nTgKcn8Pgx4OTE/7916qTsWjUsCvCaMB0dfi+Cjw+/AXXIEOD8eWXXihBCCKm7w4f5/7Xnz/nqFKdOAS1aKLtWDU/hAd6mTZvg4OAAXV1duLi44NSpU9Wmj4+Ph4uLC3R1ddGmTRts3rxZJk1UVBScnJwgFArh5OSEAwcO1Lrc/fv3w8/PD5aWlhAIBLh06dJrPc/GSlcXOHiQr8OXmwv4+QFN9KUghBDSyH3/vezqFObmyq6Vcig0wIuMjERoaCgWLFiA5ORkeHp6YsiQIUhNTa00fUpKCoYOHQpPT08kJydj/vz5mDFjBqKioiRpEhMTERgYiKCgIFy+fBlBQUEICAjAuXPnalXuixcv0KdPH6xevVpxL0Ajoa8P/P47vzchO5t/87l6Vdm1IoQQQuTDGLBsGTB1Kp/MePJk4MAB9VudolaYAvXq1YsFBwdL7XN0dGRz586tNP3s2bOZo6Oj1L5p06ax3r17Sx4HBASwwYMHS6Xx8/Nj48aNq1O5KSkpDABLTk6W6zm9KicnhwFgOTk5tT5WXsXFxezgwYOsuLhYYWWIZWcz5uLCGMCYjQ1jN28qvMhGoyHbgVSP2kJ1UFuohqbeDiUljIWE8P9dAGMLFjBWVqacujREW8gbeyisB6+4uBhJSUnw9fWV2u/r64uEKu7mT0xMlEnv5+eHCxcuQCQSVZtGnGddyiWcqSmfMqVrVyA9HRgwALh7V9m1IoQQQipXWAiMGwds2sTnev3mG2D5cv57U6ewiY4zMzNRWloKa2trqf3W1tZIT0+v9Jj09PRK05eUlCAzMxO2trZVphHnWZdy5VVUVISioiLJ49zcXACASCSSBKD1TZyvovKvyNgYiI4GfHy0cP26AAMGMBw7VgJ7+wYpXmU1dDuQqlFbqA5qC9XQVNvh+XNgzBhNnDqlAR0dhu3bS/HWWwzKfBkaoi3kzVvhK1kIKoTRjDGZfTWlr7hfnjxrW648Vq1ahSVLlsjsj42Nhb6CL/THxcUpNP+KPv1UiIUL+yI11RB9+xZjxYrTsLQsbNA6qKKGbgdSNWoL1UFtoRqaUjtkZeliyRJ3pKYaQ19fhHnz/oaBQSaio5VdM06RbVFQUCBXOoUFeJaWltDU1JTpNcvIyJDpXROzsbGpNL2WlhYsLCyqTSPOsy7lymvevHkICwuTPM7NzUXLli3h6+sLY2Pj18q7KiKRCHFxcfDx8YG2trZCyqhK//7AoEEM//1ngDVrfHH0aAlsbRu0CipDme1ApFFbqA5qC9XQ1Nrh+nXgo4+08OCBALa2DIcPA9269VJ2tQA0TFuIrx7WRGEBno6ODlxcXBAXF4dRo0ZJ9sfFxcHf37/SY9zd3fHbb79J7YuNjYWrq6vkhXJ3d0dcXBxmzpwplcbDw6PO5cpLKBRCKBTK7NfW1lb4SdUQZVTk4MCXdenXD7h9W4AhQ7Rx4gRgZdWg1VApymgHUjlqC9VBbaEamkI7JCTw6U+ys4GOHYGYGAFat1a956zItpA3X4Veog0LC0NQUBBcXV3h7u6OLVu2IDU1FcHBwQB4j9ijR4+wa9cuAEBwcDA2bNiAsLAwTJ06FYmJidi2bRv27t0ryfPjjz9Gv379sGbNGvj7++PQoUM4evQoTp8+LXe5APDs2TOkpqbi8ePHAICbN28C4D2ENjY2inxZGhV7e+DECR7kXbvGp1A5fhz4X4cqIYQQ0iAOHeIDKgoLATc3Pr2XpaWya6W6FBrgBQYGIisrC0uXLkVaWhqcnZ0RHR0N+//dsZ+WliY1N52DgwOio6Mxc+ZMbNy4EXZ2dvj6668xZswYSRoPDw/s27cPCxcuRHh4ONq2bYvIyEi4ubnJXS4AHD58GO+9957k8bhx4wAAixcvRkREhKJekkapTRse1PXvD/zzDzBoEHDsWNOdPJIQQkjD+u47ICSEz3H35ptAZCRgYKDsWqk2AROPYiC1lpubCxMTE+Tk5Cj0Hrzo6GgMHTpU6V3vN24AXl5ARgbg4gIcPcqnVmkKVKkdmjpqC9VBbaEa1LkdGAMWLeJTnwDAlCnA5s18PXVV1BBtIW/sQWvRErk5OvKePEtLICkJGDyYL29GCCGE1DeRCHj//fLgbvFiYOtW1Q3uVA0FeKRWOnfmPXfm5sC5c8CQIUBenrJrRQghRJ3k5wMjRwI//ABoaPBLtBERNIFxbVCAR2qtWzcgLo5fnk1I4PdD5Ocru1aEEELUwZMngLc3n3RfT4+vKft//6fsWjU+FOCROunRA4iNBUxMgFOn+LD1Fy+UXStCCCGN2e3bgIcHcOECn63h+HFgxAhl16pxogCP1FnPnnztWmNjID4eGD4ckHOCbUIIIUTKuXM8uPvvPz4Pa0IC0Lu3smvVeFGAR16LmxsQEwMYGvL58vz9gZcvlV0rQgghjclvv/HLspmZgKsrkJgIdOig7Fo1bhTgkdfm7s6DPAMDPgBj5Eg+ESUhhBBSk82b+f+Nly/5wL0TJ4DXXFmUgAI8Uk/69AH++IMHebGxFOQRQgipXlkZMG8e8MEH/PfJk/lqFYaGyq6ZeqAAj9QbT0/gyBFAX5/fmzdqFAV5hBBCZBUXAxMnAqtX88dLlgDffw+o2TzNSkUBHqlXXl7lQV5MDDB6NAV5hBBCyj1/zifK37OHT1q8fTtfrYLmuKtfFOCRete/Pw/y9PT4ZdsxY4CiImXXihBCiLKlpgJ9+/L77AwN+f+Kd99Vdq3UEwV4RCH69y+fpDI6mvfkUZBHCCFNV3Iyn/bk6lXA1pbPoerrq+xaqS8K8IjCvNqTJw7y6HItIYQ0PX/8AfTrB6Sl8SUvz54FundXdq3UGwV4RKG8vYHff6cgjxBCmqqtW/lE+Pn5wMCBwJkzQKtWyq6V+qMAjyjcgAHS9+TRFCqEEKL+ysqABQv4OrKlpcCkSfyLvomJsmvWNFCARxqEeOFo8RQqtOIFIYSor8JC4J13gJUr+ePFi/loWR0d5darKaEAjzSY/v2lJ0OmII8QQtRPZiYwaBCwb1/5NCgRETQNSkOjAI80qH79yoO8uDhg2DCgoEDZtSKEEFIfbt/my1eeOcMvxf75J02DoiwU4JEG5+nJT3pDQ+D4cWDoUH7zLSGEkMbrzBke3N25A9jbAwkJ/B5sohwU4BGl6NOHX6Y1Ngbi4/kC03l5yq4VIYSQuti7lwdzWVlAz558GhQnJ2XXqmmjAI8ojbs7v0xragqcPg34+QE5OcquFSGEEHkxBixbBowfz9eXHTkSOHkSsLFRds0IBXhEqXr1Ao4eBczMgMREPqt5draya0UIIaQmRUX8/rpFi/jjWbOAqCg+WwJRPoUHeJs2bYKDgwN0dXXh4uKCU6dOVZs+Pj4eLi4u0NXVRZs2bbB582aZNFFRUXBycoJQKISTkxMOHDhQq3JFIhHmzJmDLl26wMDAAHZ2dpg4cSIeP378+k+Y1JqLC78Xz8IC+PtvPvoqK0vZtSKEEFKVZ8/4VZdduwBNTWDzZmDdOkCDuo1UhkKbIjIyEqGhoViwYAGSk5Ph6emJIUOGIDU1tdL0KSkpGDp0KDw9PZGcnIz58+djxowZiIqKkqRJTExEYGAggoKCcPnyZQQFBSEgIADnzp2Tu9yCggJcvHgR4eHhuHjxIvbv349bt25hxIgRinw5SDW6d+eLTzdrBly8yOfNy8hQdq0IIYRUJB4pGx8PGBnxieynTVN2rYgMpkC9evViwcHBUvscHR3Z3LlzK00/e/Zs5ujoKLVv2rRprHfv3pLHAQEBbPDgwVJp/Pz82Lhx4+pcLmOM/f333wwAu3//fvVP6hU5OTkMAMvJyZH7mNoqLi5mBw8eZMXFxQorQ5Vcu8aYrS1jAGOOjow9eqTsGnFNrR1UGbWF6qC2UA0N2Q4nTjBmZsY/o1u1YuyffxReZKPSEG0hb+yhpajAsbi4GElJSZg7d67Ufl9fXyQkJFR6TGJiInx9faX2+fn5Ydu2bRCJRNDW1kZiYiJmzpwpk2b9+vV1LhcAcnJyIBAIYGpqWmWaoqIiFBUVSR7n5uYC4Jd8RSJRlce9DnG+ispf1bRrx+/J8/PTwo0bAnh5Mfz5ZwlatlRuvZpaO6gyagvVQW2hGhqqHXbuFCAkRBMikQC9epXh119LYWMDUPOXa4i2kDdvhQV4mZmZKC0thbW1tdR+a2trpKenV3pMenp6pelLSkqQmZkJW1vbKtOI86xLuYWFhZg7dy7Gjx8PY2PjKp/TqlWrsGTJEpn9sbGx0FfwXaVxcXEKzV/VhIfrIzzcA3fuGMDdvRjLliXA2lr5MyI3tXZQZdQWqoPaQjUoqh3KyoDdu52wf397AECfPo8wY8ZFXLxYppDy1IEiz4kCOVcHUFiAJyaosDYJY0xmX03pK+6XJ095yxWJRBg3bhzKysqwadOmap4JMG/ePISFhUke5+bmomXLlvD19a02MHwdIpEIcXFx8PHxgba2tkLKUFWDBgF+fgx37hhg6dJBiIkpQceOyqlLU24HVUNtoTqoLVSDItvhxQvgvfc0cfAgv2V//vxSLFpkBQ2NwfVajrpoiHNCfPWwJgoL8CwtLaGpqSnTa5aRkSHTuyZmY2NTaXotLS1YWFhUm0acZ23KFYlECAgIQEpKCo4fP15jkCYUCiEUCmX2a2trK/zDrSHKUDVt2gB//cUDvWvXBBg4UBtxcUDXrsqrU1NsB1VFbaE6qC1UQ323w8OHwIgRQHIyoKMDbNsGTJigCUCz3spQV4o8J+TNV2GjaHV0dODi4iLTTRkXFwcPD49Kj3F3d5dJHxsbC1dXV8kTqiqNOE95yxUHd7dv38bRo0clASRRLba2fNLM7t35qNr+/YHz55VcKUIIUXN//81XpEhO5rMbnDgBTJig7FqR2lDoNClhYWH4/vvv8cMPP+D69euYOXMmUlNTERwcDIBf8pw4caIkfXBwMO7fv4+wsDBcv34dP/zwA7Zt24ZZs2ZJ0nz88ceIjY3FmjVrcOPGDaxZswZHjx5FaGio3OWWlJRg7NixuHDhAvbs2YPS0lKkp6cjPT0dxcXFinxJSB2IP1x69+aTIA8cyFe+IIQQUv8iIwEvLyA9HXB25sFeFf0yRIUp9B68wMBAZGVlYenSpUhLS4OzszOio6Nhb28PAEhLS5OaE8/BwQHR0dGYOXMmNm7cCDs7O3z99dcYM2aMJI2Hhwf27duHhQsXIjw8HG3btkVkZCTc3NzkLvfhw4c4fPgwAKB79+5SdT5x4gT69++voFeE1JWpKV+7dsQI3qPn6wscOgT4+Ci7ZoQQoh7KyoClSwHxWMI33+RrzBoZKbdepG4UPsgiJCQEISEhlf5tx44dMvu8vLxw8eLFavMcO3Ysxo4dW+dyW7duLRm8QRoPIyMgOhoYPRqIiQGGDePfNEeOVHbNCCGkcXvxApg0iS81BgCffAKsWcNXqSCNEy0qQhoVPT3eczdmDF/YeuxY4McflV0rQghpvFJTgb59eXCnrc0HU3z2GQV3jR0FeKTR0dEB9u3ji1yXlgITJwI1zHBDCCGkEomJQK9ewKVL/H7n48eByZOVXStSHyjAI42Slhb/lvnRR/zxhx8Cq1crt06EENKY7NrFZyZ48gTo1o3PUNC3r7JrReoLBXik0dLQAL76Cli4kD+eNw+YOxeg2ysJIaRqJSVAWBi/5664GBg1is9M8L9xiERNUIBHGjWBAFi2DFi3jj9eswaYNo1fuiWEECItOxsYOhT48kv+ODwc+PVXwNBQufUi9U/ho2gJaQizZvGpVKZNA7ZuBZ4/54MvKll4hBBCmqRr1wB/f+DOHUBfn1+ifWUWMqJmqAePqI333+fTpujoAL/8AgwfDuTnK7tWhBCifIcPA25uPLhr3ZoPrqDgTr1RgEfUytixwJEjgIEBEBfHJ0J+9kzZtSKEEOUoK+MTF/v78y+84uUelbmmN2kYFOARtTNoEHDsGGBmBpw9C/TrxxfNJoSQpiQ3l08MHxHBH3/4IV8RyNJSqdUiDYQCPKKW3NyAU6eA5s2Bq1eBPn2AGzeUXStCCGkYt27xz8FDh/htKz/8AGzYwCcyJk0DBXhEbXXuDJw5A3TsWD5T+99/K7tWhBCiWEeOAD178i+1dnbAX38B772n7FqRhkYBHlFr9vZ8fqeePYGsLGDAAH6JghBC1I34frthw/jlWQ8PICmJ9+SRpocCPKL2LC358js+PnxB7WHDgJ9+UnatCCGk/uTna2H0aE3J/XbBwcCJE4CNjVKrRZSIAjzSJBgaAr//DowbB4hEwDvvAJ9/ruxaEULI67tyBZg92wvR0RoQCoHt24Fvv+X33pGmiwI80mTo6AB79gChofzxrFl8uZ6yMqVWixBC6uznnwFPTy08fmyIVq0YzpwB3n1X2bUiqoACPNKkaGgAX3xRvrTZl18C48cDRUXKrRchhNSGSATMnAkEBgIvXgjQtetTnD1bAhcXZdeMqApaqow0OQIB772zteUjyyIjgYwM4MABwMRE2bUjhJDqPX4MBATwWQIA4NNPS9G7dyIsLYcot2JEpVAPHmmy3nkHiI7m9+edOMGnUXnwQNm1IoSQqsXHAz168ODO2Bg4eBBYsaIMmppM2VUjKoYCPNKkDRrE54iyteU3Kru7A5cvK7tWhBAijTF+a8nAgcCTJ0CXLsCFC3wJMkIqQwEeafLeeIMvvO3kBDx6BHh68nVsCSFEFTx/DowaBcyeDZSWAhMm8GUY27dXds2IKqMAjxCUT4jcvz+QlwcMHQrs2KHsWhFCmrqkJH5JVrzk2LffArt2Afr6yq4ZUXUKD/A2bdoEBwcH6OrqwsXFBadOnao2fXx8PFxcXKCrq4s2bdpg8+bNMmmioqLg5OQEoVAIJycnHDhwoNblRkREwNHREQYGBjAzM8OgQYNw7ty513uypFEzMwNiYvio2pISPgBj8WJ+aYQQQhoSY8DmzXw1ipQUwMEBSEjgExgLBMquHWkMFBrgRUZGIjQ0FAsWLEBycjI8PT0xZMgQpKamVpo+JSUFQ4cOhaenJ5KTkzF//nzMmDEDUVFRkjSJiYkIDAxEUFAQLl++jKCgIAQEBEgFZ/KU26FDB2zYsAH//vsvTp8+jdatW8PX1xdPnz5V3AtCVJ5QCOzeDcyfzx8vXcovhxQWKrdehJCmIy+Pf+588AFQXMzvs0tKAk2BQmqHKVCvXr1YcHCw1D5HR0c2d+7cStPPnj2bOTo6Su2bNm0a6927t+RxQEAAGzx4sFQaPz8/Nm7cuDqXyxhjOTk5DAA7evRo9U+qkmNycnLkPqa2iouL2cGDB1lxcbHCyiCV+/57xrS0GAMY69OnlO3aFU3toALonFAd1Bb179Ilxjp04J87mpqMrVvHWFlZ9cdQO6iOhmgLeWMPhc2DV1xcjKSkJMydO1dqv6+vLxISEio9JjExEb6+vlL7/Pz8sG3bNohEImhrayMxMREzZ86USbN+/fo6l1tcXIwtW7bAxMQE3bp1q/I5FRUVoeiVGXFzc3MBACKRCCKRqMrjXoc4X0XlT6o2cSLQooUAgYGaOHNGA3fveqJr1xI4OSm7Zk0bnROqg9qi/jAGbNsmwMyZmigqEqBlS4bdu0vh7s5QUlL9sdQOqqMh2kLevBUW4GVmZqK0tBTW1tZS+62trZGenl7pMenp6ZWmLykpQWZmJmxtbatMI86zNuX+/vvvGDduHAoKCmBra4u4uDhYWlpW+ZxWrVqFJUuWyOyPjY2FvoLveI2jYZ1Ks3y5EZYtc0N6uiH69i3GnDnn0KVLlrKr1eTROaE6qC1eT0GBFr79thtOnWoBAHB1TceMGReRnS1CdLT8+VA7qA5FtkVBQYFc6RS+koWgwt2gjDGZfTWlr7hfnjzlSePt7Y1Lly4hMzMTW7duldzLZ2VlVWnd5s2bh7CwMMnj3NxctGzZEr6+vjA2Nq7yOb0OkUiEuLg4+Pj4QFtbWyFlkJq9+aYIgwc/w61b5liypA82bCjF5Mk0+kIZ6JxQHdQWr+/iRWDCBC3cuSOApibDihVlCA21gIaGj9x5UDuojoZoC/HVw5ooLMCztLSEpqamTK9ZRkaGTO+amI2NTaXptbS0YGFhUW0acZ61KdfAwADt2rVDu3bt0Lt3b7Rv3x7btm3DvHnzKq2fUCiEUCiU2a+tra3wk6ohyiBVa9ECWLbsGKKi3sTPP2sgOFgLN2/yiUc1NZVdu6aJzgnVQW1Re2VlwPr1wNy5fF3Zli2BffsE8PDQBFC3DxVqB9WhyLaQN1+FjaLV0dGBi4uLTDdlXFwcPDw8Kj3G3d1dJn1sbCxcXV0lT6iqNOI861KuGGNM6h47Ql4lFJbhxx9LIb5K/+WXwIgRgJxfpgghBADw9CkwfDjwySc8uBs9mq+gU8O/KEJqRaHTpISFheH777/HDz/8gOvXr2PmzJlITU1FcHAwAH7Jc+LEiZL0wcHBuH//PsLCwnD9+nX88MMP2LZtG2bNmiVJ8/HHHyM2NhZr1qzBjRs3sGbNGhw9ehShoaFyl/vixQvMnz8fZ8+exf3793Hx4kW8//77ePjwId566y1FviSkkRMIgEWLgMhIQFeXr2UrnqeKEEJqcvw40K0b/+wQCvnExb/+yufhJKQ+KfQevMDAQGRlZWHp0qVIS0uDs7MzoqOjYW9vDwBIS0uTmpvOwcEB0dHRmDlzJjZu3Ag7Ozt8/fXXGDNmjCSNh4cH9u3bh4ULFyI8PBxt27ZFZGQk3Nzc5C5XU1MTN27cwM6dO5GZmQkLCwv07NkTp06dQufOnRX5khA1ERDAJx719weuXgV69gR++QXw9lZ2zQghqqi4mH85XLuWj5jt1Il/UezSRdk1I+pK4YMsQkJCEBISUunfdlSyFpSXlxcuXrxYbZ5jx47F2LFj61yurq4u9u/fX+3xhNSkZ0/g/Hlg5Ei+6LePD/DVV0BICM00Twgpd+sWXyEnKYk/njqV3+JhYKDcehH1RmvREvIamjcH/voLeOcdvgj49OnAtGn82zohpGljDPjhB76WbFISYG4O7N8PbNlCwR1RPArwCHlNenrAjz/ySy8CAbB1KzBwIPDkibJrRghRlqws4K23gClTgBcv+O0b//wDjBql7JqRpoICPELqgUAAfPop8PvvgLExcPo0Xzfy77+VXTNCSEP7809+b11UFKClBaxeDcTF8R5/QhoKBXiE1KOhQ3lQ5+gIPHoEeHoC33+v7FoRQhrCy5fAjBnA4MFAWhofSHHuHDBnDs2XSRoeBXiE1LOOHfmH+siR/F68qVP5fXk0xSIh6uviRd5r/803/PFHH/H77nr0UG69SNNFAR4hCmBszC/PLF/OL99u2QL07w88fKjsmhFC6pNIBCxZAri5AdevA7a2QEwM8PXX/P5cQpSFAjxCFERDA1iwADhyBDA1Bc6e5d/mjx1Tds0IIfXh2jXA3R2IiABKSvigin//Bfz8lF0zQijAI0Thhgzh8+R168aXKPL1BVau5GtREkIan9JS4PPPy6c/MTMD9u4Ffv4Z+N+y6YQoHQV4hDSAtm2BxERg8mQe2C1YwFfByM5Wds0IIbVx6xbg5QXMmsXvqx0yBLhyBRg3Ttk1I0QaBXiENBA9PWDbNj6qVijkU6q4uPDePUKIaistBb74gvfEnzkDGBryOS+PHAHs7JRdO0JkUYBHSAObMoX35rVpA6SkAB4e/IZsxpRdM0JIZW7eBPr1Az75BCgs5MsSXrkCvP8+LUtIVBcFeIQowRtv8Ht3Ro/mo/A+/hgYMwZ4/lzZNSOEiJWUAOvWAd27AwkJgJERHxH/55+Avb2ya0dI9SjAI0RJTE2BX3/lvXc6OsCBAzzwo9UvCFG+S5eA3r2B2bN5r52vL++1mzqVeu1I40ABHiFKJBDwCVETEvgl23v3gL59ea8BjbIlpOEVFgLz5wOurryX3dQU+OEHPrddq1bKrh0h8qMAjxAV4OLCZ8IfO5Zfsp09u3y5I0JIw/jrLz6IYtUqPqhi7Fg+efF771GvHWl8KMAjREWYmPB5tLZs4SNu4+KArl35KD1CiOI8e8YHP3l58WlQbGyA/fuBX37hvxPSGFGAR4gKEQj4PT5JSbwnITMTGDaMD8J4+VLZtSNEvTAG7N4NODryy7AAXzf62jVg1Cjl1o2Q10UBHiEqqFMnvrTZxx/zx19/ze8JunRJqdUiRG3cvs0HTgQF8RVmnJyA06eBzZv5yhSENHYU4BGionR1gfXr+SVaa2veq9CrF7BmDb8/iBBSey9fAuHhgLMzcPQoP89WrACSk4E+fZRdO0LqDwV4hKi4oUP5AuYjR/IBGHPnAv3780mSCSHy+/13oHNnYPlyoLgY8PPj59b8+XyqIkLUCQV4hDQCzZrxm763b+eTrZ4+zQdgbNlCK2AQUpOUFL728/Dh/PcWLfgclH/8AbRrp+zaEaIYCg/wNm3aBAcHB+jq6sLFxQWnTp2qNn18fDxcXFygq6uLNm3aYPPmzTJpoqKi4OTkBKFQCCcnJxw4cOC1yp02bRoEAgHWr19f6+dHSEMRCIB33wUuXwY8PYH8fH5DuJ8fkJqq7NoRonoKCoBFi/g9rYcPA1pafAqi69f5yjE09QlRZwoN8CIjIxEaGooFCxYgOTkZnp6eGDJkCFKr+G+UkpKCoUOHwtPTE8nJyZg/fz5mzJiBqKgoSZrExEQEBgYiKCgIly9fRlBQEAICAnDu3Lk6lXvw4EGcO3cOdrRaNGkkHByAEyf4wue6unw6FWdnvvA59eYRws+DyEg+OnbZMqCoCBgwgH85WrMGMDRUdg0JaQBMgXr16sWCg4Ol9jk6OrK5c+dWmn727NnM0dFRat+0adNY7969JY8DAgLY4MGDpdL4+fmxcePG1brchw8fsubNm7MrV64we3t79uWXX8r93BhjLCcnhwFgOTk5tTquNoqLi9nBgwdZcXGxwsogNVPVdrh5kzEPD8b4vzTGfH0Zu3dP2bVSLFVti6ZIFdsiOZkxL6/yc8LenrGoKMbKypRcMQVSxXZoqhqiLeSNPRTWg1dcXIykpCT4+vpK7ff19UVCQkKlxyQmJsqk9/Pzw4ULFyASiapNI85T3nLLysoQFBSETz/9FJ07d67bkyREyTp04LPvf/YZ782LjeU3kX/9NY20JU1LWhqfrLhHDyA+np8PS5bwy7GjR9PlWNL0aCkq48zMTJSWlsLa2lpqv7W1NdLT0ys9Jj09vdL0JSUlyMzMhK2tbZVpxHnKW+6aNWugpaWFGTNmyP2cioqKUFRUJHmcm5sLABCJRJIAtL6J81VU/kQ+qt4OM2bwe/E++EATp09r4OOPgT17yrB5cymcnZVdu/ql6m3RlKhCWxQUAOvXa2DdOg28eMGjuICAMqxYUQp7e/yvfkqrXoNQhXYgXEO0hbx5KyzAExNU+NrEGJPZV1P6ivvlybO6NElJSfjqq69w8eLFautS0apVq7BkyRKZ/bGxsdDX15c7n7qIi4tTaP5EPqreDmFhQJcu9ti5szP+/lsbvXoBo0ffxtixt6CjU6bs6tUrVW+LpkQZbVFaCvz1V0vs2eOIzEz++duhwzNMnnwFjo7ZuHoVuHq1waulVHROqA5FtkVBQYFc6RQW4FlaWkJTU1Omty4jI0Omd03Mxsam0vRaWlqwsLCoNo04T3nKPXXqFDIyMtCqVSvJ30tLS/HJJ59g/fr1uHfvXqX1mzdvHsLCwiSPc3Nz0bJlS/j6+sLY2Liql+K1iEQixMXFwcfHB9ra2gopg9SsMbXDsGF8pOCMGWX47TcN/PxzRyQldcBXX5XC17fxj8JoTG2h7pTRFowBf/4pQHi4Jv79l39Bb9WKYcWKUgQEGEEgcG+QeqgSOidUR0O0hfjqYU0UFuDp6OjAxcUFcXFxGPXKon5xcXHw9/ev9Bh3d3f89ttvUvtiY2Ph6uoqeaHc3d0RFxeHmTNnSqXx8PCQu9ygoCAMGjRIqhw/Pz8EBQXhvffeq/I5CYVCCIVCmf3a2toKP6kaogxSs8bSDq1bA4cOAVFRfLmzu3cFGDZMC2+9BXz5JdC8ubJr+PoaS1s0BQ3VFhcu8C8vJ07wx6amwLx5wEcfCaCnp/ALUiqPzgnVoci2kDdfhZ4RYWFhCAoKgqurK9zd3bFlyxakpqYiODgYAO8Re/ToEXbt2gUACA4OxoYNGxAWFoapU6ciMTER27Ztw969eyV5fvzxx+jXrx/WrFkDf39/HDp0CEePHsXp06flLtfCwkLSIyimra0NGxsbdOzYUZEvCSENRiAAxo7l620uXswHXvzyC5/cdelSYPp0gP4XkMbg2jU+n514xiyhEPjoIx7cmZsrt26EqCqFBniBgYHIysrC0qVLkZaWBmdnZ0RHR8P+f3e+pqWlSc1N5+DggOjoaMycORMbN26EnZ0dvv76a4wZM0aSxsPDA/v27cPChQsRHh6Otm3bIjIyEm5ubnKXS0hTYmzMe+0mTQJCQoDERH6v3vff87VufXyUXUNCKvfff0BEBLBnD1BWxr+0TJjA57ajj3NCqqfwPu2QkBCEhIRU+rcdO3bI7PPy8sLFixerzXPs2LEYO3ZsncutTFX33RGiLrp350uc/fAD7/m4do337vn7A59/DrRtq+waEsI9eACsWAFs2waUlPB9o0bxnmd1GxVOiKLQWrSENCEaGsD77wO3bvF78zQ1+b16Tk486JPz3l1CFOL+fSA4mH/Z+O47Htz5+QHnz/O1mCm4I0R+FOAR0gSZmfHLs//8wy/RFhcDq1fzhdc3blT/ecOIarl3D/i//wPat+eBnUgE9O/PJyyOiQFcXZVdQ0IaHwrwCGnCnJyAP//kvXgdOgBPn/LBF87OwIEDtLYtUazr14F33+WB3datPLAbMIAHdidOAP36KbuGhDReFOAR0sQJBMCIEcCVK7z3rlkzfgl39GjA05MvhUZIfTp/nr+/OncGdu7kl2J9fIBTp4BjxyiwI6Q+UIBHCAHAp0wJCQHu3AEWLAD09IAzZwAvr/L7oAipK8b45dZBg4Bevcp7iEeNAs6d4+so9+2r7FoSoj4owCOESDE2BpYvB27f5je8a2nxf769egEjRwL//qvsGpLGpLCQj4Z1dgaGDOE9dFpafNqea9f44IlevZRdS0LUDwV4hBAJxhgS7mbiZXEpmjcHvv2WX66dNImPwD10COjalV9eq2E2I9LEPXnCpzWxt+cjt69dA4yMgJkzgbt3gR07gE6dlF1LQtQXBXiEEImUzBcYv/Ucui2Jxbgtifjm2G0808jG99vKcOUK8NZb/J69AwcAFxfgzTf5xMmEAPyS69mzfDLili35CioZGfz3zz7j89t98QXwyjLghBAFocX7CCESZ+5mAQCKS8tw9r9nOPvfM3wedwuGQi24OZjDb4Yl3v3YEj9tNsTenwSIjgaiowFvb+DTT4HBg3kASJqWggJ+qXXjRiApqXx/7958vsUxY2hZPEIaGgV4hBCJhDuZle7PLyrBsRsZOHYjAwBg2VGIiZstkH7JAif2WeLECX2cOMFHRX7yCTB+PF8vlKi3y5eBLVu6YNIkLeTk8H1CIfD228CHH9L8dYQoEwV4hBCJQlEpNARAWQ3z32XmF+FE/mPA6DFspgIGTB9Z1yyQcscS739ogfnzhZg+HZg6FbCyapi6k4aRmwv8/DOwZQtw/rw2gDYAAAcHPlnx++8DlpbKrSMhhAI8Qsgrtr/XC7mFIpz77xnO3MlEwt1M3HqSX+NxLwQF0O1cAN3ODwAAxU+M8fkxC6zZZYk3e5njow+04O5Ol28bq9JSIC4O2LWL339ZWMj3a2sz9Oz5GOHh1vD11YIG3dVNiMqgAI8QIsVYVxs+TtbwcbIGAGTkFSLxbhbO3MnEmTtZePT8ZY156FjnQsc6F0AKEkoFOLHJFKZfWGKspwVmTjSDhRlFAqqOMSA5Gdi7F9izB0hLK/+boyMweTIwfnwJLly4gIEDhzZIcBcREYGDBw/i0qVLii+MkEaOPmUJIdWyMtKFf/fmWDu2G07P8cbJWf2xYpQz3uxiCzP9mu+cF2gy6LbIRmG729iddhY9lsfijdC/MfuHu/jnQQ7KaroerCYYY4iIiICdnR309PTQv39/XL16tcbjoqKi4OTkBKFQCCcnJxw4cEAmzaZNm+Dg4ABdXV24uLjg1KlTtS67qKgIH330EczMLKGjYwAjoxFwcXmIzz7jwZ2FBfDOO7fQr58/nj61xLJlxnjrLS/8SxMjEqKSKMAjhMhNIBCgtaUB3nGzx8Z3eiBpoQ+OzOiLBUM7oX/HZtDX0aw5D+1SZOs+xc+3bmDExtPoND8OE75Nwu6z95GS+QJMTRfAXbt2Lb744gts2LAB58+fh42NDXx8fJCXl1flMYmJiQgMDERQUBAuX76MoKAgBAQE4Ny5c5I0kZGRCA0NxYIFC5CcnAxPT08MGTIEqampcpXNGB/56uERis2bD+D5830QiU7jxYt8CATDMGZMKQ4cAB4/Bs6dexOGhiU4fvw4kpKS0K1bNyxfvhzp6elyvw7FxcV1ewEJIbUiYOr6adoAcnNzYWJigpycHBgbGyukDJFIhOjoaAwdOhTaNM+A0lA7yKe4pAyXHz7n9+/dyULyg2yISmv3EWNlqIt+HS3Rp50F+rS1hJWxrtTfG2NbMMZgZ2eH0NBQzJkzBwDvMbO2tsaaNWswbdq0So8LDAxEbm4u/vjjD8m+wYMHw8zMDHv37gUAuLm5oUePHvj2228laTp16oSRI0di1apVlZadl1cEW1tr9Oq1BnfuTMODBzkAmgH4ETo6gRg8GPD1fYwZM1oiOjoafn5+yMzMRLNmzfDXX3/B09MTAPDs2TNYWFggJiYGfn5+lT6H1q1b4/3338edO3dw4MABjBw5Ejt37sScOXNw4MABPHz4EDY2NnjnnXewaNEiqTZdvXo1vvzySxQUFCAgIADNmjVDTEwMXaKtoDGeE+qqIdpC3tiDevAIIfVGR0sDPVubI3RQB/wc7I5Li3yx/b2emOrpACdb+b4EZeQX4tekh5gZeRm9Vh7DoC/isfjQFfx5NR05L0UKfgbVi46OluuyakUpKSlIT0+Hr6+vZJ9QKISXlxcSEhKqPC4xMVHqGADw8/OTHFNcXIykpCSZNL6+vpI04rKdnX3x3Xd8uTk7OyFevPDCiRMJePAA0NVNAiDCd9/54skTvmLJhx/awdnZWZKPhYUFOnXqhF27duHFixcoKSnB1q1bYWpqih49elT7/NetWwdnZ2ckJSUhPDwcAGBkZIQdO3bg2rVr+Oqrr7B161Z8+eWXkmN+/vlnLF68GCtWrMCFCxdga2uLTZs2Vf9CE0IkaJAFIURhDIRa8O5oBe+OfK6UZy+K+YCNu5lIuJOJe1kFNeZxJyMfdzLysTPxPjQEgLOdMayYBkzuZqF322bQ1a75snB9YIzB398fJSUl6OvZDzM+mo6RI0fK9S1dfAnT2tpaar+1tTXu379f7XGVHSPOLzMzE6WlpZWmefQoHVFRwE8/8bTDhkmn0dOzhrn5fWzeDGRmpmPaNB383/+ZVVmWQCBAXFwc/P39YWRkBA0NDVhbW2PRokUwNTWt9vkPGDAAs2bNktq3cOFCye+tW7fGJ598gsjISMyePRsAsH79ekyePBnvv/8+AGD58uU4evQoCsVDeAkh1aIAjxAihTGGgoKaA6+6EALo39YY/dsaA75t8Pj5SyT+l4Vzd7OQmJKFzLzq788qA3Aphf+Dj91yBjpaGujRyhS921igdxtzdLYzgZam4i5MCPX0oW3VERfvP+OXDK2sMWXye5g8eTLs7OwA8HviZsyYITnmjz/+gKYmD0IFFeaJYYzJ7KtInmMEAgEePQISEoAzZ4DISIb0dAHGjpVO4+EBDBnCt02bGB4+FGDYMOCnnyov+9WyGGMICQmBlZUVTp06BT09PWzZsgUrVqzAmDFj0Kqa9cdcK5nx+Ndff8X69etx584d5Ofno6SkROpy0/Xr1xEcHCx1jLu7O06cOFFlOYSQchTgEUKkFBQUwNDQUNnVkNtdAL80VGEaWjBuZg8zr3dR/PQe8pKjseazL7B69WqpZJcvX4a+vj4AoHnz5kj73xwj6enpsLW1laTLyMiQ6X17lY2NjcwAhoyMDFhZWePUKeDvvy0hEGhixIh0ZEotQpIBwBpOToCLiw1+/BE4cSIdXl7lZT99Wl62jY0NiouLkZ2dDTMzM6myPDw8AADHjx/H77//juzsbEkg9s033+Dw4cP48ccfsWDBgiqfh4GBgdTjs2fPYty4cViyZAn8/PxgYmKCffv24fPPP68yD0JI7dA9eIQQIjeGspd84medZq1hPnAq9Nr2lEnVtm1btGvXDu3atYOenh4cHBxgY2ODuLg4SZri4mLEx8dLAqjK9O7tjkOH4vDbb8Dq1cC4ccDChbF48MAD/foBs2bpgDEXZGbGQUMD6N4dCAkBmjePw/TpHrh6Fdi5k5d97lzVZbu4uEBbW1uqfmlpabhy5YokjbhXV6PChHcCgQBlZWW1ehXPnDkDe3t7LFiwAK6urmjfvr3MpepOnTrh7NmzUvsqPiaEVI168AghUvT19ZGfX/PqFQ2tUFSK5NRsJNx5ithL9/DwhaDGJdUq0i/VQ2sDC7i2ssSALubo1EYHtRkAP3zECJx7mAsAKC3Mx7ODK1H8+Aa2b9+Ot956q7yc//XeiQkEAoSGhmLlypVo37492rdvj5UrV0JfXx8BAeORkgKkpAALFkyEQNAc9varcOMGcO3axygu7of4+DUA/AEcAnAUwGm0aAG88QagpxeG/fuD8NVXrvD2dseWLVvw/HkqZs0KrrHs8ePHAwBMTEwwZcoUfPLJJ7CwsIC5uTlmzZqFLl26YNCgQQD45VEzMzNMmjQJixYtgp6eHr777jtkZGRgyJAhtWqHdu3aITU1Ffv27UPPnj1x5MgRmfn9Pv74Y0yaNAmurq7o27cv9uzZg6tXr6JNmza1KouQpkrhAd6mTZuwbt06pKWloXPnzli/fr1kiH1l4uPjERYWhqtXr8LOzg6zZ8+WuQ8jKioK4eHhuHv3Ltq2bYsVK1Zg1KhRtSr33Xffxc6dO6WOcXNzo2+IpMkTCAQyl9RUgQGAQabG8Opkh26aj9DX2wcXHuQi4U4mztzNwp2MmoPSQjDcKMvEjXuZ2H2PL6lWlmYB0yJLtNIzR3NrLVhY8LVUxT9NTAB9/f9telZgxdchep6OrKglEIry8fOBo/Dw8ERBAV/C69UtNxfIzgaePwcEgtno0uUl3nknBEVF2dDTc4OubiwsLIxQPllVKgANJCaKH3tAS2sfNDUXQiQKh4VFWwQHR+Kjj9zQrJk4TSA2bcrC2rVLMXNmGpydnREdHQ17e3vJ8549ezZevnyJkJAQZGdnw83NDbGxsTAyMpKk+fLLL6GlpYWAgAC8fPkSAwcOxI4dOyT3D1paWiImJgYLFizAgAEDIBKJ4OTkhHnz5qFbt261akt/f3/MnDkT06dPR1FREd58802Eh4cjIiJCkiYwMBB3797FnDlzUFhYiDFjxuCDDz7An3/+WauyCGmqFDoPXmRkJIKCgrBp0yb06dMH3333Hb7//ntcu3at0htyU1JS4OzsjKlTp2LatGk4c+YMQkJCsHfvXowZMwYAnzbA09MTy5Ytw6hRo3DgwAEsWrQIp0+fhpubm9zlvvvuu3jy5Am2b98uKV9HRwfm5uZyPz+aB6/poHZQHVW1xZPcQiTc5cupJdzJxOOc2o22ZKUCFD02ReF9SxTes0RRmilQVvEulg+hob8PKGMoKzID2B8AOrz2cxIKgdatAQcHoE0b/rNjR8DJie/XbJiBwrVG54VqoHZQHao0D55Ce/C++OILTJkyRTLMff369fjzzz/x7bffYtWqVTLpN2/ejFatWmH9+vUA+D0YFy5cwGeffSYJ8NavXw8fHx/MmzcPADBv3jzEx8dj/fr1kok/5S1XKBTCxsZGYc+fENJwrI11MeqNFhj1RgswxnAvq4BPuHw3Ewl3s/C8oPo59ASaDLots6HbMhvoexsaZZrQfm4OpFtC9NACL9OM8eyZOYoLngGC3gA7DD45cDmhENDV5ZtQCBgbA6amgJkZ/2lqClhZAba20puVFRpkLVdCSNOhsABPPAHn3Llzpfa/OgFnRVVN6rlt2zaIRCJoa2sjMTERM2fOlEkjDgprU+7JkydhZWUFU1NTeHl5YcWKFbCysqryORUVFaGoqEjyODeX34sjEokgEilmAlZxvorKn8iH2kF1yNsWLUx0EOhih0AXO5SVMVxPz0PCf1lIvPsMF+5n46Wo+oEBZRqlKDJ/Cpg/BZwAG31teGp1RtGtD7F80UK0tzMBIAJjAGO8l62uQVppKd8aGzovVAO1g+poiLaQN2+FBXjVTcBZ1bqFVU3qWVJSgszMTNja2r7WxJ+vljtkyBC89dZbsLe3R0pKCsLDwzFgwAAkJSVBKBRWWr9Vq1ZhyZIlMvtjY2Nlbqqub6+ObiPKQ+2gOurSFs0BjG0GjLQA7uUDt3I0cCtHgPv5QBmrfj667AIR/oYRYDMEw7ckwUyHoYNJ+WasU8cnogbovFAN1A6qQ5FtIe88pQofZFHbiT0rS19xv7wTf1aXJjAwUPK7s7MzXF1dYW9vjyNHjmD06NGV1m3evHkICwuTPM7NzUXLli3h6+ur0Hvw4uLi4OPjQ/dWKBG1g+pQRFvkF5Xgwv1sJN59hoS7WbjxpOYBG9nFApx7KsC5p/xxeysDuLexgEcbc/RyMIORrvq/T+i8UA3UDqqjIdpCfPWwJgoL8CwtLaGpqVnpJJ1VTexZ1aSeWlpasLCwqDaNOM+6lAsAtra2sLe3x+3bt6tMIxQKK+3d09bWVvhJ1RBlkJpRO6iO+mwLM21t+HTWg09nvhpFZn4REu9mSQZtpD6r+Rvz7YwXuJ3xArvOpkJTQwA3B3Psed+txpUq1AGdF6qB2kF1KLIt5M1XYbf16ujowMXFRaabMi4ursqJPd3d3WXSx8bGwtXVVfKEqkojzrMu5QJAVlYWHjx4IDXLPCGkabI0FGJ4NzusGt0Vf832xqnZ3lgzpgtGdLODpWHN12JLyxg0NQRNIrgjhKgmhV6iDQsLQ1BQEFxdXeHuzifgTE1NlcxrN2/ePDx69Ai7du0CAAQHB2PDhg0ICwvD1KlTkZiYiG3btklGxwJ88st+/fphzZo18Pf3x6FDh3D06FGcPn1a7nLz8/MRERGBMWPGwNbWFvfu3cP8+fNhaWkpM58eIYS0NNdHoHkrBPZsBcYYbj3Jl4zQPfvfM+QXlcgc06edpRJqSgghnEIDvMDAQGRlZWHp0qVIS5OdgDMtLQ2pqamS9A4ODoiOjsbMmTOxceNG2NnZ4euvv5ZMkQIAHh4e2LdvHxYuXIjw8HC0bdsWkZGRkjnw5ClXU1MT//77L3bt2oXnz5/D1tYW3t7eiIyMlJr4kxBCKhIIBOhoY4SONkaY3NcBJaVluPww538TLmfi4v3nKC4tQ5+2FOARQpRH4YMsQkJCEBISUunfduzYIbPPy8sLFy9erDbPsWPHYuzYsXUuV09Pj2ZDJ4TUCy1NDbjYm8HF3gwfDWyPl8WluHD/GZzsFDPwihBC5EFr0RJCSD3S09GEZ/tmNSckhBAFornTCSGEEELUDAV4hBBCCCFqhgI8QgghhBA1QwEeIYQQQoiaoQCPEEIIIUTNUIBHCCGEEKJmKMAjhBBCCFEzFOARQgghhKgZCvAIIYQQQtQMBXiEEEIIIWqGAjxCCCGEEDVDAR4hhBBCiJqhAI8QQgghRM1QgEcIIYQQomYowCOEEEIIUTMU4BFCCCGEqBkK8AghhBBC1AwFeIQQQgghaoYCPEIIIYQQNUMBHiGEEEKImlF4gLdp0yY4ODhAV1cXLi4uOHXqVLXp4+Pj4eLiAl1dXbRp0wabN2+WSRMVFQUnJycIhUI4OTnhwIEDdSr3+vXrGDFiBExMTGBkZITevXsjNTW17k+WEEIIIUQFKDTAi4yMRGhoKBYsWIDk5GR4enpiyJAhVQZRKSkpGDp0KDw9PZGcnIz58+djxowZiIqKkqRJTExEYGAggoKCcPnyZQQFBSEgIADnzp2rVbl3795F37594ejoiJMnT+Ly5csIDw+Hrq6u4l4QQgghhJCGwBSoV69eLDg4WGqfo6Mjmzt3bqXpZ8+ezRwdHaX2TZs2jfXu3VvyOCAggA0ePFgqjZ+fHxs3blytyg0MDGQTJkyo3ROqICcnhwFgOTk5r5VPdYqLi9nBgwdZcXGxwsogNaN2UB3UFqqD2kI1UDuojoZoC3ljDy1FBY7FxcVISkrC3Llzpfb7+voiISGh0mMSExPh6+srtc/Pzw/btm2DSCSCtrY2EhMTMXPmTJk069evl7vcsrIyHDlyBLNnz4afnx+Sk5Ph4OCAefPmYeTIkVU+p6KiIhQVFUke5+TkAACePXsGkUhU9YvxGkQiEQoKCpCVlQVtbW2FlEFqRu2gOqgtVAe1hWqgdlAdDdEWeXl5AADGWLXpFBbgZWZmorS0FNbW1lL7ra2tkZ6eXukx6enplaYvKSlBZmYmbG1tq0wjzlOecjMyMpCfn4/Vq1dj+fLlWLNmDWJiYjB69GicOHECXl5eldZv1apVWLJkicx+BweHal4JQgghhJD6lZeXBxMTkyr/rrAAT0wgEEg9ZozJ7KspfcX98uRZXZqysjIAgL+/v6Q3sHv37khISMDmzZurDPDmzZuHsLAwyeOysjI8e/YMFhYW1T6n15Gbm4uWLVviwYMHMDY2VkgZpGbUDqqD2kJ1UFuoBmoH1dEQbcEYQ15eHuzs7KpNp7AAz9LSEpqamjK9dRkZGTK9a2I2NjaVptfS0oKFhUW1acR5ylOupaUltLS04OTkJJWmU6dOOH36dJXPSSgUQigUSu0zNTWtMn19MjY2phNXBVA7qA5qC9VBbaEaqB1Uh6LborqeOzGFjaLV0dGBi4sL4uLipPbHxcXBw8Oj0mPc3d1l0sfGxsLV1VVyLbuqNOI85SlXR0cHPXv2xM2bN6XS3Lp1C/b29rV8poQQQgghqkWhl2jDwsIQFBQEV1dXuLu7Y8uWLUhNTUVwcDAAfsnz0aNH2LVrFwAgODgYGzZsQFhYGKZOnYrExERs27YNe/fuleT58ccfo1+/flizZg38/f1x6NAhHD16VKrnraZyAeDTTz9FYGAg+vXrB29vb8TExOC3337DyZMnFfmSEEIIIYQonsLG8f7Pxo0bmb29PdPR0WE9evRg8fHxkr9NmjSJeXl5SaU/efIke+ONN5iOjg5r3bo1+/bbb2Xy/OWXX1jHjh2ZtrY2c3R0ZFFRUbUqV2zbtm2sXbt2TFdXl3Xr1o0dPHjw9Z9wPSssLGSLFy9mhYWFyq5Kk0btoDqoLVQHtYVqoHZQHarUFgLGahhnSwghhBBCGhVai5YQQgghRM1QgEcIIYQQomYowCOEEEIIUTMU4BFCCCGEqBkK8FTYpk2b4ODgAF1dXbi4uODUqVPKrlKT9Ndff2H48OGws7ODQCDAwYMHlV2lJmnVqlXo2bMnjIyMYGVlhZEjR8rMZUkU79tvv0XXrl0lE7m6u7vjjz/+UHa1CPg5IhAIEBoaquyqNDkREREQCARSm42NjVLrRAGeioqMjERoaCgWLFiA5ORkeHp6YsiQIUhNTVV21ZqcFy9eoFu3btiwYYOyq9KkxcfH48MPP8TZs2cRFxeHkpIS+Pr64sWLF8quWpPSokULrF69GhcuXMCFCxcwYMAA+Pv74+rVq8quWpN2/vx5bNmyBV27dlV2VZqszp07Iy0tTbL9+++/Sq0PTZOiotzc3NCjRw98++23kn2dOnXCyJEjsWrVKiXWrGkTCAQ4cOAARo4cqeyqNHlPnz6FlZUV4uPj0a9fP2VXp0kzNzfHunXrMGXKFGVXpUnKz89Hjx49sGnTJixfvhzdu3fH+vXrlV2tJiUiIgIHDx7EpUuXlF0VCerBU0HFxcVISkqCr6+v1H5fX18kJCQoqVaEqJacnBwAPLggylFaWop9+/bhxYsXcHd3V3Z1mqwPP/wQb775JgYNGqTsqjRpt2/fhp2dHRwcHDBu3Dj8999/Sq2PQpcqI3WTmZmJ0tJSWFtbS+23trZGenq6kmpFiOpgjCEsLAx9+/aFs7OzsqvT5Pz7779wd3dHYWEhDA0NceDAATg5OSm7Wk3Svn37cPHiRZw/f17ZVWnS3NzcsGvXLnTo0AFPnjzB8uXL4eHhgatXr8LCwkIpdaIAT4UJBAKpx4wxmX2ENEXTp0/HP//8I7UGNWk4HTt2xKVLl/D8+XNERUVh0qRJiI+PpyCvgT148AAff/wxYmNjoaurq+zqNGlDhgyR/N6lSxe4u7ujbdu22LlzJ8LCwpRSJwrwVJClpSU0NTVleusyMjJkevUIaWo++ugjHD58GH/99RdatGih7Oo0STo6OmjXrh0AwNXVFefPn8dXX32F7777Tsk1a1qSkpKQkZEBFxcXyb7S0lL89ddf2LBhA4qKiqCpqanEGjZdBgYG6NKlC27fvq20OtA9eCpIR0cHLi4uiIuLk9ofFxcHDw8PJdWKEOVijGH69OnYv38/jh8/DgcHB2VXifwPYwxFRUXKrkaTM3DgQPz777+4dOmSZHN1dcU777yDS5cuUXCnREVFRbh+/TpsbW2VVgfqwVNRYWFhCAoKgqurK9zd3bFlyxakpqYiODhY2VVrcvLz83Hnzh3J45SUFFy6dAnm5uZo1aqVEmvWtHz44Yf46aefcOjQIRgZGUl6uE1MTKCnp6fk2jUd8+fPx5AhQ9CyZUvk5eVh3759OHnyJGJiYpRdtSbHyMhI5h5UAwMDWFhY0L2pDWzWrFkYPnw4WrVqhYyMDCxfvhy5ubmYNGmS0upEAZ6KCgwMRFZWFpYuXYq0tDQ4OzsjOjoa9vb2yq5ak3PhwgV4e3tLHovvp5g0aRJ27NihpFo1PeIpg/r37y+1f/v27Xj33XcbvkJN1JMnTxAUFIS0tDSYmJiga9euiImJgY+Pj7KrRojSPHz4EG+//TYyMzPRrFkz9O7dG2fPnlXq/2yaB48QQgghRM3QPXik0duxYwcEAgEuXLhQp+MjIyPRuXNn6OnpQSAQ4NKlS5I87927V7+VVWEVn7OyX4PK2qWhiZcfepWiXxdlv+6qLCEhAREREXj+/HmjyFdZjh8/jsmTJ8PR0REGBgZo3rw5/P39kZSUJHce+fn5CA0NhZ2dHXR1ddG9e3fs27dPgbUm9Y0CPNKkPX36FEFBQWjbti1iYmKQmJiIDh06KLtaKuHNN99EYmKiUm4SVuV2Uebr0tQlJCRgyZIlCgnwFJGvsnz77be4d+8ePv74Y0RHR+Orr75CRkYGevfujePHj8uVx+jRo7Fz504sXrwYf/zxB3r27Im3334bP/30k4JrT+oL3YNHmrRbt25BJBJhwoQJ8PLyUnZ1VEqzZs3QrFkzpZStiHYpKCiAvr7+a+ejzNeFEHls3LgRVlZWUvsGDx6Mdu3aYeXKlRgwYEC1x0dHRyMuLg4//fQT3n77bQCAt7c37t+/j08//RSBgYE0QrcRoB48onbEl9WuXr2Kt99+GyYmJrC2tsbkyZMly1sBwLvvvou+ffsC4INaBAKBzA38r6Zt3bp1lWVVdPv2bYwfPx5WVlYQCoXo1KkTNm7cWKd6it24cQNvv/02rK2tIRQK0apVK0ycOFFqegp5ypVXZZcKa1PnutalpnY5ffo0Bg4cCCMjI+jr68PDwwNHjhyRykNcz4sXL2Ls2LEwMzND27Ztqy33yJEj6N69O4RCIRwcHPDZZ5/J9bo8ffoU//d//4eWLVtCKBSiWbNm6NOnD44ePSpTn+TkZIwePRrGxsYwMTHBhAkT8PTp02rrdefOHbz33nto37499PX10bx5cwwfPrzShczleY8AtXt//vPPP3jrrbdgYmICc3NzhIWFoaSkBDdv3sTgwYNhZGSE1q1bY+3atTL1qc/zICIiAp9++ikAwMHBAQKBAAKBACdPnnyt164u+aalpcHQ0BDjxo2T2v/7779DW1sbCxYsqPLYhlAxuAMAQ0NDODk54cGDBzUef+DAARgaGuKtt96S2v/ee+/h8ePHOHfuXL3VlSgO9eARtTVmzBgEBgZiypQp+PfffzFv3jwAwA8//AAACA8PR69evfDhhx9i5cqV8Pb2hrGx8WuXe+3aNXh4eKBVq1b4/PPPYWNjgz///BMzZsxAZmYmFi9eXKt6AsDly5fRt29fWFpaYunSpWjfvj3S0tJw+PBhFBcXQygU1rrc11FTnV+nLtW1S3x8PHx8fNC1a1ds27YNQqEQmzZtwvDhw7F3714EBgZK5TV69GiMGzcOwcHBePHiRZVlHjt2DP7+/nB3d8e+fftQWlqKtWvX4smTJzW+FkFBQbh48SJWrFiBDh064Pnz57h48SKysrJk0o4aNQoBAQEIDg7G1atXER4ejmvXruHcuXPQ1tauNP/Hjx/DwsICq1evRrNmzfDs2TPs3LkTbm5uSE5ORseOHQHI9x4Bat82AQEBmDBhAqZNm4a4uDisXbsWIpEIR48eRUhICGbNmoWffvoJc+bMQbt27TB69Og6lVPTe+r999/Hs2fP8M0332D//v2SS+TVrZ4hz2tXl3xtbW0xe/ZsSXDo4uKCkydP4q233sIHH3yAFStWVHlsTRhjKC0tlSutlpb8/8JzcnJw8eLFGnvvAODKlSvo1KmTTP5du3aV/J3mZG0EGCGN3Pbt2xkAdv78ecYYY4sXL2YA2Nq1a6XShYSEMF1dXVZWVibZd+LECQaA/fLLL5XmmZKSwhhjbNKkScze3l6mbHFZr/Lz82MtWrRgOTk5UvunT5/OdHV12bNnz2pdzwEDBjBTU1OWkZFR5esgb7lVqficKz6uTZ1fty5VtUvv3r2ZlZUVy8vLk+wrKSlhzs7OrEWLFpLyxfVctGhRteWIubm5MTs7O/by5UvJvtzcXGZubi7TvhVfF0NDQxYaGlpt/uL6zJw5U2r/nj17GAC2e/fuKvOvqKSkhBUXF7P27dtL5SfPe4Sx2r8/P//8c6l03bt3ZwDY/v37JftEIhFr1qwZGz16dJ3Lkec8WLduXbWvTU2qeu3qku+LFy+YnZ0dGzhwIPv777+ZkZERe++996TqWxfi9748W23q+8477zAtLS124cKFGtO2b9+e+fn5yex//PgxA8BWrlxZm6dElIQu0RK1NWLECKnHXbt2RWFhITIyMhRWZmFhIY4dO4ZRo0ZBX18fJSUlkm3o0KEoLCzE2bNna1XPgoICxMfHIyAgoMp7v+pS7uuors6KqsuLFy9w7tw5jB07FoaGhpL9mpqaCAoKwsOHD3Hz5k2pY8aMGSNXvufPn8fo0aOl1vM0MjLC8OHDazy+V69e2LFjB5YvX46zZ89CJBJVmfadd96RehwQEAAtLS2cOHGiymNKSkqwcuVKODk5QUdHB1paWtDR0cHt27dx/fp1APK9R4C6vU+GDRsm9bhTp04QCARSa29qaWmhXbt2uH//fp3LUcT5Ks9rV1f6+vpYvnw5jh07Bm9vbwwZMgRbt2597fXCXVxccP78ebk2Ozs7ufIMDw/Hnj178OWXX0ota1ad6p4HrYneONAlWqK2LCwspB6LL1G9fPlSYWVmZWWhpKQE33zzDb755ptK02RmZko9rqme2dnZKC0trXbd1bqU+zqqq7P4H3l91yU7OxuMsUpHr4r/0VW8LCrPSNfs7GyUlZXBxsZG5m+V7asoMjISy5cvx/fff4/w8HAYGhpi1KhRWLt2rczxFR9raWnBwsKi0su5YmFhYdi4cSPmzJkDLy8vmJmZQUNDA++//36t3iNA3d4n5ubmUo91dHSgr68vs7i9jo4OcnNz61yOIs5XeV671yEe2S0QCLBjxw6ZgQfa2tp49uwZjIyM8Omnn2LHjh2Sey6HDRuGiRMnIiAgQOoYQ0NDdO/eXa7y5blEu2TJEixfvhwrVqzA9OnT5cq3qvfks2fPAMi+J4hqogCPEDno6upWutZmxX9SZmZmkh6lDz/8sNK8aruGqrm5OTQ1NfHw4cMq0yii3LpSVF3E/5zT0tJk/vb48WMAgKWlpdR+eXoazMzMIBAIJEufvaqyfRVZWlpi/fr1WL9+PVJTU3H48GHMnTsXGRkZMst3paeno3nz5pLHJSUlyMrKkgluXrV7925MnDgRK1eulNqfmZkJU1NTAPK9R4CGe5+oyvtRnteuri5duoRhw4ahT58+OHPmDH744QeZ52psbIy8vDxoaWnh4MGDkvssHzx4gMuXL2PUqFEy+cbHx0utnFOdlJSUSgd/iS1ZsgQRERGIiIjA/Pnz5X5uXbp0wd69e1FSUiIVRIoHp9AyaI0DBXiEyKF169bIyMjAkydPYG1tDQAoLi7Gn3/+KZVOX18f3t7eSE5ORteuXaGjo/PaZevp6cHLywu//PILVqxYIRPEKKrculJUXQwMDODm5ob9+/fjs88+k6w/W1ZWht27d6NFixZ1mivPwMAAvXr1wv79+7Fu3TpJz1ReXh5+++23WuXVqlUrTJ8+HceOHcOZM2dk/r5nzx6pS2Q///wzSkpKqhy9DfAgVdybJXbkyBE8evQI7dq1AyDfewRouPeJosqpba+ePK9dXfK9efMm/Pz84O7ujkOHDuGtt95CREQEJkyYABMTE0k6U1NT5Ofn448//oC/vz+OHDmCgoICbN26FVOmTKl0YI34Eq08qrtEu2zZMkRERGDhwoW1HmA1atQobN26FVFRUVIDl3bu3Ak7Ozu4ubnVKj+iHBTgESKHwMBALFq0COPGjcOnn36KwsJCfP3115WOdvvqq6/Qt29feHp64oMPPkDr1q2Rl5eHO3fu4LfffpN7otFXffHFF+jbty/c3Nwwd+5ctGvXDk+ePMHhw4fx3XffwcjISCHl1pWi6rJq1Sr4+PjA29sbs2bNgo6ODjZt2oQrV65g7969db43aNmyZRg8eDB8fHzwySefoLS0FGvWrIGBgYHkslRlcnJy4O3tjfHjx8PR0RFGRkY4f/48YmJiJKNJX7V//35oaWnBx8dHMoq2W7duMpfpXjVs2DDs2LEDjo6O6Nq1K5KSkrBu3TqZy7HyvEcAxbVNRYoop0uXLpK8J02aBG1tbXTs2FHy3CqS97WrTb737t3DoEGD0LFjR0RFRUFbWxurV6+Gs7MzVq5ciTVr1kjSigO8b7/9Fj///DNOnTqFrKws7Nq1CwkJCZXW2cjICK6urrV+bV71+eefY9GiRRg8eDDefPNNmfsde/fuLfk9Pj4eAwcOxKJFi7Bo0SIAwJAhQ+Dj44MPPvgAubm5aNeuHfbu3YuYmBjs3r2b5sBrJCjAI0QODg4OOHToEObPn4+xY8fC1tYWYWFhePr0KZYsWSKV1snJCRcvXsSyZcuwcOFCZGRkwNTUFO3bt8fQoUPrVH63bt3w999/Y/HixZg3bx7y8vJgY2ODAQMGSHpHFFFuXSmqLl5eXjh+/DgWL16Md999F2VlZejWrRsOHz4sMxigNnx8fHDw4EEsXLgQgYGBsLGxQUhICF6+fCnTvq/S1dWFm5sbfvzxR9y7dw8ikQitWrXCnDlzMHv2bJn0+/fvR0REBL799lsIBAIMHz4c69evr7aH66uvvoK2tjZWrVqF/Px89OjRA/v378fChQul0snzHgEa7n2iiHL69++PefPmYefOndi6dSvKyspw4sSJKntA5X3t5M03LS0NgwYNgpWVFX7//XdJL7KjoyMmT56Mr776ShLMAjzA+/PPP2FjY4M2bdrA2NgYP/74I3r16iX3AIm6EPc8x8TEyNwmAPCpWF79vbS0FGVlZVJp9u/fjwULFmDRokV49uwZHB0dsXfvXpm5/4jqErBXW5oQQki9i4iIwJIlS/D06dMqL58S9TNmzBicOXMG27dvx5AhQySPIyMjaeUconA0TQohhBCiAGZmZjA0NMTgwYMB8EEXFhYWFNyRBkGXaAkhhBAF+P7776Ueb9++XUk1IU0RXaIlhBBCCFEzdImWEEIIIUTNUIBHCCGEEKJmKMAjhBBCCFEzNMjiNZSVleHx48cwMjKixZcJIYQQonCMMeTl5cHOzg4aGlX301GA9xoeP36Mli1bKrsahBBCCGliHjx4ILMqy6sowHsN4mVsHjx4AGNjY4WUIRKJEBsbC19f30rXLSQNg9pBdVBbqA5qC9VA7aA6GqItcnNz0bJlyyqX6BOjAO81iC/LGhsbKzTA09fXh7GxMZ24SkTtoDqoLVQHtYVqoHZQHQ3ZFjXdGkaDLAghhBBC1AwFeIQQQgghaoYCPEIIIYQQNUMBHiGEEEKImqEAjxBCCCFEzSg0wMvOzkZQUBBMTExgYmKCoKAgPH/+vNpjGGOIiIiAnZ0d9PT00L9/f1y9elUqTVFRET766CNYWlrCwMAAI0aMwMOHD+tcdlZWFlq0aAGBQFBj/QghhBBCVJ1CA7zx48fj0qVLiImJQUxMDC5duoSgoKBqj1m7di2++OILbNiwAefPn4eNjQ18fHyQl5cnSRMaGooDBw5g3759OH36NPLz8zFs2DCUlpbWqewpU6aga9eu9fOkCSGEEEKUTGHz4F2/fh0xMTE4e/Ys3NzcAABbt26Fu7s7bt68iY4dO8ocwxjD+vXrsWDBAowePRoAsHPnTlhbW+Onn37CtGnTkJOTg23btuHHH3/EoEGDAAC7d+9Gy5YtcfToUfj5+dWq7G+//RbPnz/HokWL8Mcffyjq5SCEEEIIaTAKC/ASExNhYmIiCbAAoHfv3jAxMUFCQkKlAV5KSgrS09Ph6+sr2ScUCuHl5YWEhARMmzYNSUlJEIlEUmns7Ozg7OyMhIQE+Pn5yV32tWvXsHTpUpw7dw7//fdfjc+pqKgIRUVFkse5ubkA+MSGIpGoFq+O/MT5Kip/Ih9qB9VBbaE6qC1UA7WD6miItpA3b4UFeOnp6bCyspLZb2VlhfT09CqPAQBra2up/dbW1rh//74kjY6ODszMzGTSiI+Xp+yioiK8/fbbWLduHVq1aiVXgLdq1SosWbJEZn9sbCz09fVrPP51xMXFKTR/Ih9qB9VBbaE6qC1UA7WD6lBkWxQUFMiVrtYBXkRERKVBzqvOnz8PoPJlNBhjNS6vUfHv8hxTMU1NZc+bNw+dOnXChAkTqs33VfPmzUNYWJjksXg9OF9fX4UuVRYXFwcfHx9agkaJqB1UB7WF6qC2UA3UDqqjIdpCfPWwJrUO8KZPn45x48ZVm6Z169b4559/8OTJE5m/PX36VKaHTszGxgYA74GztbWV7M/IyJAcY2Njg+LiYmRnZ0v14mVkZMDDw0OSpqayjx8/jn///Re//vorAB78AYClpSUWLFhQaRArFAohFApl9mtrayv8pGqIMkjNqB1UB7WF6qC2UA3UDqpDkW0hb761DvAsLS1haWlZYzp3d3fk5OTg77//Rq9evQAA586dQ05OjiQQq8jBwQE2NjaIi4vDG2+8AQAoLi5GfHw81qxZAwBwcXGBtrY24uLiEBAQAABIS0vDlStXsHbtWrnLjoqKwsuXLyVlnz9/HpMnT8apU6fQtm3b2r4shBBCCCEqQ2H34HXq1AmDBw/G1KlT8d133wEA/u///g/Dhg2TGmDh6OiIVatWYdSoURAIBAgNDcXKlSvRvn17tG/fHitXroS+vj7Gjx8PADAxMcGUKVPwySefwMLCAubm5pg1axa6dOkiGVUrT9kVg7jMzEzJsaampop6WQghhBBCFE5hAR4A7NmzBzNmzJCMeB0xYgQ2bNgglebmzZvIycmRPJ49ezZevnyJkJAQZGdnw83NDbGxsTAyMpKk+fLLL6GlpYWAgAC8fPkSAwcOxI4dO6CpqVmrsgkhhBBC1JFCAzxzc3Ps3r272jTie9/EBAIBIiIiEBERUeUxurq6+Oabb/DNN9+8Vtmv6t+/v0xdCCGEEEIaI1qLlhBCCCFEzVCARwghhBCiZijAI4QQQghRMxTgEUIIIYSoGQrwCCGEEELUDAV4hBBCCCFqhgI8QgghhBA1QwEeIYQQQoiaoQCPEEIIIUTNUIBHCCGEEKJmKMAjhBBCCFEzFOARQgghhKgZCvAIIYQQQtQMBXiEEEIIIWqGAjxCCCGEEDVDAR4hhBBCiJqhAI8QQgghRM1QgEcIIYQQomYowCOEEEIIUTMU4BFCCCGEqBkK8AghhBBC1AwFeIQQQgghaoYCPEIIIYQQNUMBHiGEEEKImqEAjxBCCCFEzVCARwghhBCiZijAI4QQQghRMxTgEUIIIYSoGQrwCCGEEELUDAV4hBBCCCFqhgI8QgghhBA1QwEeIYQQQoiaoQCPEEIIIUTNUIBHCCGEEKJmKMAjhBBCCFEzCg3wsrOzERQUBBMTE5iYmCAoKAjPnz+v9hjGGCIiImBnZwc9PT30798fV69elUpTVFSEjz76CJaWljAwMMCIESPw8OHDWpV9+fJlvP3222jZsiX09PTQqVMnfPXVV/X11AkhhBBClEahAd748eNx6dIlxMTEICYmBpcuXUJQUFC1x6xduxZffPEFNmzYgPPnz8PGxgY+Pj7Iy8uTpAkNDcWBAwewb98+nD59Gvn5+Rg2bBhKS0vlLjspKQnNmjXD7t27cfXqVSxYsADz5s3Dhg0b6v+FIIQQQghpSExBrl27xgCws2fPSvYlJiYyAOzGjRuVHlNWVsZsbGzY6tWrJfsKCwuZiYkJ27x5M2OMsefPnzNtbW22b98+SZpHjx4xDQ0NFhMTU+eyGWMsJCSEeXt7y/0cc3JyGACWk5Mj9zG1VVxczA4ePMiKi4sVVgapGbWD6qC2UB3UFqqB2kF1NERbyBt7KKwHLzExESYmJnBzc5Ps6927N0xMTJCQkFDpMSkpKUhPT4evr69kn1AohJeXl+SYpKQkiEQiqTR2dnZwdnaWpKlL2QCQk5MDc3Pzuj1hQgghhBAVoaWojNPT02FlZSWz38rKCunp6VUeAwDW1tZS+62trXH//n1JGh0dHZiZmcmkER9fl7ITExPx888/48iRI1U+p6KiIhQVFUke5+bmAgBEIhFEIlGVx70Ocb6Kyp/Ih9pBdVBbqA5qC9VA7aA6GqIt5M271gFeREQElixZUm2a8+fPAwAEAoHM3xhjle5/VcW/y3NMxTS1Kfvq1avw9/fHokWL4OPjU2UZq1atqvS5x8bGQl9fv9r6va64uDiF5k/kQ+2gOqgtVAe1hWqgdlAdimyLgoICudLVOsCbPn06xo0bV22a1q1b459//sGTJ09k/vb06VOZHjoxGxsbALwHztbWVrI/IyNDcoyNjQ2Ki4uRnZ0t1YuXkZEBDw8PSRp5y7527RoGDBiAqVOnYuHChdU+r3nz5iEsLEzyODc3Fy1btoSvry+MjY2rPbauRCIR4uLi4OPjA21tbYWUQWpG7aA6qC1UB7WFaqB2UB0N0Rbiq4c1qXWAZ2lpCUtLyxrTubu7IycnB3///Td69eoFADh37hxycnIkgVhFDg4OsLGxQVxcHN544w0AQHFxMeLj47FmzRoAgIuLC7S1tREXF4eAgAAAQFpaGq5cuYK1a9fWquyrV69iwIABmDRpElasWFHjcxIKhRAKhTL7tbW1FX5SNUQZpGbUDqqD2kJ1UFuoBmoH1aHItpA3X4UNsujUqRMGDx6MqVOn4uzZszh79iymTp2KYcOGoWPHjpJ0jo6OOHDgAAB+WTU0NBQrV67EgQMHcOXKFbz77rvQ19fH+PHjAQAmJiaYMmUKPvnkExw7dgzJycmYMGECunTpgkGDBsld9tWrV+Ht7Q0fHx+EhYUhPT0d6enpePr0qaJeEkIIIYSQBqGwQRYAsGfPHsyYMUMy4nXEiBEy88zdvHkTOTk5ksezZ8/Gy5cvERISguzsbLi5uSE2NhZGRkaSNF9++SW0tLQQEBCAly9fYuDAgdixYwc0NTXlLvuXX37B06dPsWfPHuzZs0ey397eHvfu3avX14EQQgghpCEpNMAzNzfH7t27q03DGJN6LBAIEBERgYiIiCqP0dXVxTfffINvvvmmzmXXVAYhhDRFEREROHjwIC5duqTsqhBCXgOtRUsIURtMjqUOKxMVFQUnJycIhUI4OTlJbht51aZNm+Dg4ABdXV24uLjg1KlTtS5bnmUWb926BX9/f1haWsLY2Bh9+vTBiRMn6vBqEEKaMgrwCCFqQ56lDitKTExEYGAggoKCcPnyZQQFBSEgIADnzp2TpImMjERoaCgWLFiA5ORkeHp6YsiQIUhNTa1V2fIss/jmm2+ipKQEx48fR1JSErp3745hw4ZVOYdnZYqLi+VOSwhRUwpbS6MJoKXKmg5qB9VRVVvIs9RhZQICAtjgwYOl9vn5+bFx48ZJHvfq1YsFBwdLpXF0dGRz586Vu2x5lll8+vQpA8D++usvSZrc3FwGgB09erTK52Bvb8+WLVvGJk2axIyNjdnEiRMZY4zNnj2btW/fnunp6TEHBwe2cOFCmddt1apVzMrKihkaGrLJkyezOXPmsG7dulVZ1qvovFAN1A6qo0ksVUYIIQ1JnqUOK5OYmCh1DAD4+flJjikuLkZSUpJMGl9fX0ma+lpm0cLCAp06dcKuXbvw4sULlJSU4LvvvoO1tTVcXFyqff7r1q2Ds7MzkpKSEB4eDgAwMjLCjh07cO3aNXz11VfYunUrvvzyS8kxP//8MxYvXowVK1bgwoULsLW1xaZNm6othxDSOCh0kAUhhDQUeZY6rOq4yo4R55eZmYnS0tJq09TXMosCgQBxcXHw9/eHkZERNDQ0YG1tjZiYGJiamlb7/AcMGIBZs2ZJ7Xt18vbWrVvjk08+QWRkJGbPng0AWL9+PSZPnoz3338fALB8+XIcPXoUhYWF1ZZFCFF91INHCGl04uPjYWZmBkNDQxgaGkoNeKjLUofyHFNfaSp6NQ1jDCEhIbCyssKpU6fw999/w9/fH8OGDUNaWlq1+bi6usrs+/XXX9G3b1/Y2NjA0NAQ4eHhUvcNXr9+He7u7lLHVHxMCGmcKMAjhDQ6vXr1wvnz53Hp0iVcunQJrq6uUksdvurVpQ4rY2NjU+0xlpaW0NTUrDaNPGW/usxiVWmOHz+O33//Hfv27UOfPn3Qo0cPbNq0CXp6eti5c2e1r4mBgYHU47Nnz2LcuHEYMmQIfv/9dyQnJ2PBggU0AIOQJoICPEJIo6Onp4d27dpJNj09PamlDsXESx1WtTwiwHusKi4MHhsbKzlGR0cHLi4uMmni4uIkaeQp+9VlFsXEyyyK04gXEdfQkP5o1tDQQFlZmXwvzv+cOXMG9vb2WLBgAVxdXdG+fXuZS9WdOnXC2bNnpfZVfEwIaZzoHjxCiFp4danD9u3bo3379li5cqXUUocAMHHiRDRv3hyrVq0CAHz88cfo168f1qxZA39/fxw6dAhHjx7F6dOnJceEhYUhKCgIrq6ucHd3x5YtW5Camorg4GC5y351mUULCwuYm5tj1qxZUsssuru7w8zMDJMmTcKiRYugp6eHrVu3IiUlBW+++WatXo927dohNTUV+/btQ8+ePXHkyBGZ+f0+/vhjTJo0Ca6urujbty/27NmDq1evok2bNrVvAEKISqEAjxCiNuRZ6jA1NVWqh8zDwwP79u3DwoULER4ejrZt2yIyMhJubm6SNIGBgcjKysLSpUuRlpYGZ2dnREdHw97evlZl17TMoqWlJWJiYrBgwQIMGDAAIpEInTt3xqFDh9CtW7davRb+/v6YOXMmpk+fjqKiIrz55psIDw+XWsEnMDAQd+/exZw5c1BYWIgxY8bggw8+wJ9//lmrsgghqkfAWIW1wojccnNzYWJigpycHBgbGyukDJFIhOjoaAwdOhTa2toKKYPUjNpBdVBbqA5qC9VA7aA6GqIt5I09qAePEEIaibIyIC8PyMkBcnP5lpcHvHjBt/x8/rOgAHj5Eigs5D9fvgSKi6U3kQgoKeFbaWn5T/GtfozxDQAEAkBDo/ynhgagpQVoamoiN9cD33yjCR0dSDahsPynnp7sZmDAN0PD8p9GRnwzNubH1TD4mBBSAwrwCCFECQoLgSdP+Pb0KZCZKb09ewZkZ/NN/Hs1K64piQaAZrhypX5z1dLigZ6JCWBqWr6ZmADm5uWbmRn/aWlZvunr129dCGmsKMAjhJB6JBIBjx8DDx4Ajx7x7fFjvj16BKSn86AuJ6fuZWhr82DH2Jj3er3aG2ZgwIMcPT1AV7f8p64upHrZtLX5pqkp7o3jm/j2RHEPmkDAe/LKyvjGGO/pKy0FCgtLcP58Mpyd3wBjWpLewaIi/rOwULoX8eVL3rtYUFDe25ifzzdxTyTAexOfPeNbbenq8kDPyqp8a9aM/7SxAayt+U8bG57uf7c/EqJ2KMAjhJBaKCoC7t8H7t0DUlLKf6am8i0trfwyZ020tXnAYWXFg41mzcp7ol7toTIz45uJCd+EQkU+Q/mJRAxC4WMMHdod9XG7UWlpebCXm8uD4OfPy3+KezTFvZrPngFZWXzLzCwPKh8+5FtNNDT4629rC9jZ8c3WFmjRAmjenG8tWvDXni4Zk8aGAjxCCKmguBj47z/gxg3gzh3pLTW1/N60qmhr88CgZUseNDRvLh1AWFvzzdSUAodXaWqWB7G1xRjvAczM5Je8nz4FMjKktydPeA9qejr/e1kZD8jT0oCLF6vOW0+vvD3FW6tWfLO35z/p0jBRNRTgEUKarPx8HsRdvcq3GzeAmzeBu3d5b1JV9PUBBwegdWv+08Gh/B99y5a8R06DppFvUAIBv0xtaMjbpSYlJTzIS0vjl8/FP8WX0h8+5D8zM/ml5du3+VYVS0v+HhC/Jyr+1NOrn+dJiLwowCOENBqlZQznUp4hKVMAi5RncG9nBU2NmrvASkr4P+d//infrlzhl1erYmAAdOwIdOgAtGsnvVlZUc9bY6elxXtTbW2BHj2qTldYyAO9Bw+kN/El+fv3+SVl8eCYpKTK87G1Bdq0Kd/atuXvpbZt+aV5ej+R+kYBHiGkUYi5koYlv11DWk4hAE3sun0Btia6WDzcCYOdbSXpCgqAf//ll9wuXgSSk3kwV1RUeb7W1oCTE9C5M9CpE+DoyAM7Ozv6p0v4oI22bflWGcb4/YH375ffm/nq/Zn//ccDQPGl4DNnZPMwNOTBXvv25Vu7dvzLBQV/pK4owCOEqLyYK2n4YPdFVLz1LT2nEMG7L2JUsx7IuWqL8+eBa9cqH+RgYAB06QJ07Qp06wY4O/OgzsKiQZ4CUVMCQfkgmO7dZf/OGB8M8t9/fEtJ4bcA3L3L7+l8+JDfKnDpEt8qMjHhgd6rm6Mj/0n3/ZHqUIBHCFFppWUMS367JhPcAQAD/wf6y91reLTDBmC8q8PKil92e+MN/rN7d35ZjO6LIw1NIOBfIiwsgJ49Zf9eWMiDPvEgHvG9fnfu8B7BnBzg/Hm+VdSqlfg2Ag2IRK2hry9Aly68V5p6/QgFeIQQlZSdzf+pHUp8hrSXhVWmEwgALeNCTJn7DMPdLODqSpdXSeOhq8tvDejUSfZvhYW8p+/WLT74R/zzxg3eKyi+DzAuThNAN2zZwo8zNeW9fE5O0lvLlvQlpymhAI8QonR5efxeuaQk4MIFHtiJRyzqdypEsxE15zE8oBD+3RVaTUIalK4uv42gc2fZv2Vm8mDv5k3g6tVS/PXXU2RnWyMlRYDnz4GzZ/n2KgOD8vtNxZuzM58Chr4QqR8K8AghDSo7mwdz4i0pif+TqmxuubZtgY5uurgqR75WRrr1XldCVJV4Quw+fQCRqAzR0ecwdOhQlJZq49Yt4Pp1vl27xrdbt/g8gZVd7jU25oHeq1uXLjx/0nhRgEcIUQjG+L1Fly+Xb5cuVT01SYsWgIsL4OrKf/bqxe9bKi0zR981ukjPKaz0PjwBABsTXfRyMFfckyGkkdDV5QOJunaV3i8S8cu9V6/yUeXiuR9v3eKrhiQk8O1VNjY80BNvXbvyHkBd+i7VKFCARwh5bdnZfGqSilteXuXpHRz4AAjx5urKbwyvjKaGAIuHO+GD3RchAKSCPPFVpcXDneSaD4+Qpkpbm9+X5+gIjBlTvr+4mAd5V66Ub//+y0f8ilf9iIsrT6+pyUfwioNI8ah0usyreijAI4TI7flzfrlH/O3/6lX++PHjytPr6PD7fLp1K9+6d+dTStTGYGdbfDuhxyvz4HE2lcyDRwiRn45O+WXZV+Xn8/Nb/GVNPEH4s2fll38jI8vTm5vzYK97d75168Z7+3R0GvLZkFdRgEcIkVJWxmfqF4/Wu3Gj/AP9yZOqj7O355dxxPfvdO3Kp3Coj0XoAR7k+TjZIPFOBmJPnYOvp5vcK1kQQmrH0BBwc+ObGGN8smZxsCe+9UI8qvfkSb6JaWvzIE8c9Ik3U9MGfCJNGAV4hDRBjPHF18Xzbd2+XT4Fw+3bfHqGqrRowXvlXh2N16lT3RaIry1NDQHcHMyRdZ3BzcGcgjtCGpBAwKcgsrMDBg8u319YyL8Avnqv7aVLvMdfvG/nzvL0rVvzQO/V2zSaN6dLvPWNAjxC1FRJCe+Je3Xm/Fe33Nyqj9XW5ksldexYPkeX+P4dI6OGew6EENWnq1seqIkxxufoEwd74k28lNu9e8DBg+XpLS3LJyYXbzQ5+euhAI+QRqq0lC+CXtkamCkp/MO1tLTq4wUCPhO+eN3L9u15QNexI/+GrUWfDoSQOhII+G0b9vaAv3/5/uzs8mBPPFXS9et8Xr+4OOkBHUZGPOhzcSkP+jp25AM9SM3oI5wQFSRev/LhQ749eFA+a31qKn/88CHvpauOjg4P1sSLpb+6tWlD0x0QQhqWmRng7c03sZcv+ejd5GTg4kW+/fMPH4X/1198E9PX55d3xUGfiwu/wkBfSGXRS0JIAyso4Dcqi7dHj/go1EePyn9/+JB/6NVES4v3wtnb80DO3p5PQdKmDf9pa0uXOAghqk1Pj6/T++pavSIR79kTB3wXL/JevxcvZOfs09Xlo3ZdXMrn0nRyoqCviT99QupHUREftJCRwUeaijfxPFJPnpQHdNXd+1ZRs2Z8UEOLFjyQq7jZ2tLlCkKI+tHWLp9n7913+b7SUj4Y7OJFvgKOOPDLywPOneObmDjoE0+c7ura9Hr6mtBTJUQ+ZWU8CMvK4veFZGYC6ekCnD7dFmfOaODZM+DpU+ktJ6d2Zejp8eDM1paPHmvenI9ME//eogV/TJdQCSGE09QsH/T1zjt8X1kZnwkgKal8u3iRf4ZXDPr09PjlXVfX8k2d7+mjAI+oJcZ4V35ODr+p9/lz6Z/Z2fweN/FP8ZaVxffJDk7QAuAsU86rtLUBK6vyzcamfLO25j/FQZ2xMU0JQAghr0tDg6+s0aED8PbbfF/FoO/ChfKevsREvokZGPB7+V4N+tq1U49bWxQe4G3atAnr1q1DWloaOnfujPXr18PT07PK9PHx8QgLC8PVq1dhZ2eH2bNnIzg4WCpNVFQUwsPDcffuXbRt2xYrVqzAqFGjalUuYwxLlizBli1bkJ2dDTc3N2zcuBGdO3eu3xeA1EpZGQ/M8vLKt/x8/m0sL4//fHXLyeHbq78/f85/VjeCVB76+vwSqYUFYGFRhqKiR+ja1Q7W1ppo1gxSm7U1n7yTgjZCCFGuqoK+W7dkg74XL4BTp/gmZmxcflm3Z0/+s3Xrxvf5rtAALzIyEqGhodi0aRP69OmD7777DkOGDMG1a9fQqlUrmfQpKSkYOnQopk6dit27d+PMmTMICQlBs2bNMOZ/i+clJiYiMDAQy5Ytw6hRo3DgwAEEBATg9OnTcPvflNvylLt27Vp88cUX2LFjBzp06IDly5fDx8cHN2/ehBFN9FWt0lI+AODlSz5goKCAnyQVf1a15eeX/3x1y8vj++uTpiYPvMzM+Pbq7+bm0j8tLPjv4p+vXh4ViUoRHX0RQ4faQFtbTfvzCSFETWlolM/lKb68W1rKV+EQB3wXLvCRvLm5wIkTfBOzsCjv4RMHfc2bK+e5yEvAGGM1J6sbNzc39OjRA99++61kX6dOnTBy5EisWrVKJv2cOXNw+PBhXL9+XbIvODgYly9fRuL/+lQDAwORm5uLP/74Q5Jm8ODBMDMzw969e+UqlzEGOzs7hIaGYs6cOQCAoqIiWFtbY82aNZg2bZpczy83NxcmJibIycmBsbFxLV4Z+YlEIkRHR2Po0KHQrmTNp9JSPou4eHv5UvaxeF/F31/dV9VWUCD7e1GRQp6qFA0NPgeSoSH/aWwsvRkZ8ZUTjI3Lfxob8wDOxKT8p4FB/XzrqqkdSMOhtlAd1Baqgdqh/ohEfA3eV4O+y5f5/opsbWWDPlNTxbeFvLHH/7d3/zFV3fcfx19XflyqVRuxBYnoqGv9UXSml85eMrVb62W4dLqUiOty57bWlKBTues68UemxpSZLQs1iI6EzPnNVvjDqu3CGq7phhpvnYJ2plk6l7HSUijDZKJSLxe83z/03kkv4K32cE7PfT6SG7if+7mfz/ved4gvz733XMOO4PX19am5uVkbN24cNO7xeHTy1s833yIQCMjj8QwaKygoUG1trUKhkFJSUhQIBFRWVhYzp7KyMu59W1tb1dnZOWgvp9OpxYsX6+TJk8MGvGAwqOAt6abn5schQ6GQQkN1/y4FAg4tXXpe165ly+G4oHD4HklOhcP/u0hm/zFfk8PxicaM6ZXD8cktl95bfvbecvvVm2NXNWZM5PoVjRnzv3GH44ocjmvRYBZ5qba93bxHGQ6HFQwG5XQ65fiiHae3GXphHfTCGuiDse6/P1Wh0GyFQnPV1zdffX3z1N//sDo6kvXGG9Ibb/xvblJSp5KSHJo58yk1Nx81pJ5484ZhAa+7u1sDAwPKyMgYNJ6RkaHOzs4h79PZ2Tnk/P7+fnV3d2vKlCnDzomsGc++kZ9DzXn//feHfUwVFRXavn17zHhjY6PGjh077P3uVEvLA7p61f0Z7tEn6dqnLp/c8nO4328du/XS+6mfkd8jl2uSwgqH7/79bgAAWFerpIZbrt8jab6kPEmP3fw5UwMD2RoYuE/t7c+roaEhdpnPQW9vb1zzDP+Qxaf/NxEOh0f8H8ZQ8z89Hs+an9ecW5WXl8vn80Wv9/T0KDs7Wx6Px5CXaF0u6f/+70V1d7crNfW6HI7gzUvfzSNcQd04ghYZG62UlXbzkjj4H7J10AvroBfWQB/M0nbz8pok6fr1e9XXl6tgMF3Tp0/V0qVLDdm1J86TqRoW8CZPnqykpKSYo3VdXV0xR84iMjMzh5yfnJys9PT0EedE1oxn38zMTEk3juRNmTIlrtqkGy/jOp3OmPGUlBRDXmufOlV6770K3lthAbzHxTrohXXQC2ugD9bxv15UGdaLeNc17Ewvqampcrlc8t/6zcGS/H6/8vPzh7yP2+2Omd/Y2Ki8vLzoAxpuTmTNePbNyclRZmbmoDl9fX1qamoatjYAAIAvCkNfovX5fPJ6vcrLy5Pb7VZNTY3a2tqi57UrLy9Xe3u7Dhw4IOnGJ2arqqrk8/m0evVqBQIB1dbWRj8dK0nr16/XokWLtGvXLi1btkxHjhzR0aNHdeLEibj3dTgc2rBhg15++WU99NBDeuihh/Tyyy9r7NixevbZZ418SgAAAAxnaMArLi7WxYsXtWPHDnV0dCg3N1cNDQ2aPn26JKmjo0NtbW3R+Tk5OWpoaFBZWZn27NmjrKws7d69O3oOPEnKz89XXV2dtmzZoq1bt2rGjBmqr6+PngMvnn0l6aWXXtInn3yi0tLS6ImOGxsbOQceAAD4wjP8QxalpaUqLS0d8rb9+/fHjC1evFgtLS0jrllUVKSioqI73le6cRRv27Zt2rZt24jrAAAAfNHY4NvWAAAAcCsCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzhge86upq5eTkKC0tTS6XS8ePHx9xflNTk1wul9LS0vTggw9q3759MXMOHjyoOXPmyOl0as6cOTp06NBn2jcUCulnP/uZ5s6dq3HjxikrK0vf//739dFHH939AwYAADCZoQGvvr5eGzZs0ObNm3X27FktXLhQhYWFamtrG3J+a2urli5dqoULF+rs2bPatGmT1q1bp4MHD0bnBAIBFRcXy+v16p133pHX69WKFSt06tSpuPft7e1VS0uLtm7dqpaWFr322mv6xz/+oW9/+9tGPh0AAACjI2ygr371q+GSkpJBY7NmzQpv3LhxyPkvvfRSeNasWYPGXnjhhfDjjz8evb5ixYrwN7/5zUFzCgoKwitXrrzjfcPhcPivf/1rWFL4/fffH/lB3eLSpUthSeFLly7FfZ/Pqq+vL3z48OFwX1+fYXvg9uiDddAL66AX1kAfrGM0ehFv9kg2Kjj29fWpublZGzduHDTu8Xh08uTJIe8TCATk8XgGjRUUFKi2tlahUEgpKSkKBAIqKyuLmVNZWXnH+0rSpUuX5HA4dN999w07JxgMKhgMRq/39PRIuvGSbygUGvZ+dyOyrlHrIz70wTrohXXQC2ugD9YxGr2Id23DAl53d7cGBgaUkZExaDwjI0OdnZ1D3qezs3PI+f39/eru7taUKVOGnRNZ8072vXbtmjZu3Khnn31WEyZMGPYxVVRUaPv27THjjY2NGjt27LD3+zz4/X5D10d86IN10AvroBfWQB+sw8he9Pb2xjXPsIAX4XA4Bl0Ph8MxY7eb/+nxeNaMd99QKKSVK1fq+vXrqq6uHuGRSOXl5fL5fNHrPT09ys7OlsfjGTEY3o1QKCS/368lS5YoJSXFkD1we/TBOuiFddALa6AP1jEavYi8eng7hgW8yZMnKykpKeaoWVdXV8zRtYjMzMwh5ycnJys9PX3EOZE1P8u+oVBIK1asUGtrq956663bhjSn0ymn0xkznpKSYvgf1WjsgdujD9ZBL6yDXlgDfbAOI3sR77qGfYo2NTVVLpcr5jCl3+9Xfn7+kPdxu90x8xsbG5WXlxd9QMPNiawZ776RcHfhwgUdPXo0GiABAAC+6Ax9idbn88nr9SovL09ut1s1NTVqa2tTSUmJpBsveba3t+vAgQOSpJKSElVVVcnn82n16tUKBAKqra3Vq6++Gl1z/fr1WrRokXbt2qVly5bpyJEjOnr0qE6cOBH3vv39/SoqKlJLS4v++Mc/amBgIHrEb9KkSUpNTTXyaQEAADCUoQGvuLhYFy9e1I4dO9TR0aHc3Fw1NDRo+vTpkqSOjo5B58TLyclRQ0ODysrKtGfPHmVlZWn37t165plnonPy8/NVV1enLVu2aOvWrZoxY4bq6+u1YMGCuPf98MMP9frrr0uS5s+fP6jmP//5z3riiScMekYAAACMZ/iHLEpLS1VaWjrkbfv3748ZW7x4sVpaWkZcs6ioSEVFRXe875e+9KXohzcAAADshu+iBQAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGzG8IBXXV2tnJwcpaWlyeVy6fjx4yPOb2pqksvlUlpamh588EHt27cvZs7Bgwc1Z84cOZ1OzZkzR4cOHbqrfV944QU5HA5VVlZ+5scHAABgNYYGvPr6em3YsEGbN2/W2bNntXDhQhUWFqqtrW3I+a2trVq6dKkWLlyos2fPatOmTVq3bp0OHjwYnRMIBFRcXCyv16t33nlHXq9XK1as0KlTp+5o38OHD+vUqVPKysr6/J8AAAAAExga8H7961/rueee0/PPP6/Zs2ersrJS2dnZ2rt375Dz9+3bp2nTpqmyslKzZ8/W888/rx/96Ef61a9+FZ1TWVmpJUuWqLy8XLNmzVJ5ebmefPLJQUff4t23vb1da9eu1e9//3ulpKQY8hwAAACMNsMCXl9fn5qbm+XxeAaNezwenTx5csj7BAKBmPkFBQU6c+aMQqHQiHMia8a77/Xr1+X1evXTn/5UjzzyyJ09SAAAAAtKNmrh7u5uDQwMKCMjY9B4RkaGOjs7h7xPZ2fnkPP7+/vV3d2tKVOmDDsnsma8++7atUvJyclat25d3I8pGAwqGAxGr/f09EiSQqFQNIB+3iLrGrU+4kMfrINeWAe9sAb6YB2j0Yt41zYs4EU4HI5B18PhcMzY7eZ/ejyeNUea09zcrFdeeUUtLS0j1vJpFRUV2r59e8x4Y2Ojxo4dG/c6d8Lv9xu6PuJDH6yDXlgHvbAG+mAdRvait7c3rnmGBbzJkycrKSkp5mhdV1dXzNG1iMzMzCHnJycnKz09fcQ5kTXj2ff48ePq6urStGnTorcPDAzoJz/5iSorK/Xvf/97yPrKy8vl8/mi13t6epSdnS2Px6MJEyYM91TclVAoJL/fryVLlvA+QRPRB+ugF9ZBL6yBPljHaPQi8urh7RgW8FJTU+VyueT3+/Wd73wnOu73+7Vs2bIh7+N2u/XGG28MGmtsbFReXl70iXK73fL7/SorKxs0Jz8/P+59vV6vnnrqqUH7FBQUyOv16oc//OGwj8npdMrpdMaMp6SkGP5HNRp74Pbog3XQC+ugF9ZAH6zDyF7Eu66hL9H6fD55vV7l5eXJ7XarpqZGbW1tKikpkXTjiFh7e7sOHDggSSopKVFVVZV8Pp9Wr16tQCCg2tpavfrqq9E1169fr0WLFmnXrl1atmyZjhw5oqNHj+rEiRNx75uenh49IhiRkpKizMxMzZw508inBAAAwHCGBrzi4mJdvHhRO3bsUEdHh3Jzc9XQ0KDp06dLkjo6Ogadmy4nJ0cNDQ0qKyvTnj17lJWVpd27d+uZZ56JzsnPz1ddXZ22bNmirVu3asaMGaqvr9eCBQvi3hcAAMDODP+QRWlpqUpLS4e8bf/+/TFjixcvVktLy4hrFhUVqaio6I73Hcpw77sDAAD4ouG7aAEAAGyGgAcAAGAzBDwAAACbIeABAADYjOEfsrCzyLdsxHvSwTsRCoXU29urnp4ezm9kIvpgHfTCOuiFNdAH6xiNXkQyRySDDIeAdxcuX74sScrOzja5EgAAkEguX76siRMnDnu7I3y7CIhhXb9+XR999JHGjx//mb7T9rOIfB3aBx98YNjXoeH26IN10AvroBfWQB+sYzR6EQ6HdfnyZWVlZWnMmOHfaccRvLswZswYTZ06dVT2mjBhAn+4FkAfrINeWAe9sAb6YB1G92KkI3cRfMgCAADAZgh4AAAANkPAszin06mf//zncjqdZpeS0OiDddAL66AX1kAfrMNKveBDFgAAADbDETwAAACbIeABAADYDAEPAADAZgh4AAAANkPAs7Dq6mrl5OQoLS1NLpdLx48fN7ukhHTs2DE9/fTTysrKksPh0OHDh80uKSFVVFToscce0/jx4/XAAw9o+fLleu+998wuK+Hs3btX8+bNi57I1e12609/+pPZZUE3/kYcDoc2bNhgdikJZ9u2bXI4HIMumZmZptZEwLOo+vp6bdiwQZs3b9bZs2e1cOFCFRYWqq2tzezSEs7Vq1f1la98RVVVVWaXktCampq0Zs0avf322/L7/erv75fH49HVq1fNLi2hTJ06Vb/4xS905swZnTlzRt/4xje0bNkyvfvuu2aXltBOnz6tmpoazZs3z+xSEtYjjzyijo6O6OX8+fOm1sNpUixqwYIFevTRR7V3797o2OzZs7V8+XJVVFSYWFliczgcOnTokJYvX252KQnvP//5jx544AE1NTVp0aJFZpeT0CZNmqRf/vKXeu6558wuJSFduXJFjz76qKqrq7Vz507Nnz9flZWVZpeVULZt26bDhw/r3LlzZpcSxRE8C+rr61Nzc7M8Hs+gcY/Ho5MnT5pUFWAtly5dknQjXMAcAwMDqqur09WrV+V2u80uJ2GtWbNG3/rWt/TUU0+ZXUpCu3DhgrKyspSTk6OVK1fqX//6l6n1JJu6O4bU3d2tgYEBZWRkDBrPyMhQZ2enSVUB1hEOh+Xz+fS1r31Nubm5ZpeTcM6fPy+3261r167p3nvv1aFDhzRnzhyzy0pIdXV1amlp0enTp80uJaEtWLBABw4c0MMPP6yPP/5YO3fuVH5+vt59912lp6ebUhMBz8IcDseg6+FwOGYMSERr167V3/72N504ccLsUhLSzJkzde7cOf33v//VwYMHtWrVKjU1NRHyRtkHH3yg9evXq7GxUWlpaWaXk9AKCwujv8+dO1dut1szZszQ7373O/l8PlNqIuBZ0OTJk5WUlBRztK6rqyvmqB6QaH784x/r9ddf17FjxzR16lSzy0lIqamp+vKXvyxJysvL0+nTp/XKK6/oN7/5jcmVJZbm5mZ1dXXJ5XJFxwYGBnTs2DFVVVUpGAwqKSnJxAoT17hx4zR37lxduHDBtBp4D54FpaamyuVyye/3Dxr3+/3Kz883qSrAXOFwWGvXrtVrr72mt956Szk5OWaXhJvC4bCCwaDZZSScJ598UufPn9e5c+eil7y8PH3ve9/TuXPnCHcmCgaD+vvf/64pU6aYVgNH8CzK5/PJ6/UqLy9PbrdbNTU1amtrU0lJidmlJZwrV67on//8Z/R6a2urzp07p0mTJmnatGkmVpZY1qxZoz/84Q86cuSIxo8fHz3CPXHiRN1zzz0mV5c4Nm3apMLCQmVnZ+vy5cuqq6vTX/7yF7355ptml5Zwxo8fH/Me1HHjxik9PZ33po6yF198UU8//bSmTZumrq4u7dy5Uz09PVq1apVpNRHwLKq4uFgXL17Ujh071NHRodzcXDU0NGj69Olml5Zwzpw5o69//evR65H3U6xatUr79+83qarEEzll0BNPPDFo/Le//a1+8IMfjH5BCerjjz+W1+tVR0eHJk6cqHnz5unNN9/UkiVLzC4NMM2HH36o7373u+ru7tb999+vxx9/XG+//bap/2ZzHjwAAACb4T14AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGyGgAcAAGAzBDwAAACbIeABAADYDAEPAADAZgh4AAAANkPAAwAAsBkCHgAAgM0Q8AAAAGzm/wH+RrjHRMrw2gAAAABJRU5ErkJggg==\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "be613857b5f6499eacd079ae92bc474d": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_c06016ffccc842b88cfd56dddfe1f3b0",
+        "IPY_MODEL_89d163072ee64374bf7014553dbda556",
+        "IPY_MODEL_38437965d3b4455495bc7ae48c750fef"
+       ],
+       "layout": "IPY_MODEL_42585c89d47c4b559ad5d24d1c42ad13"
+      }
+     },
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+       "layout": "IPY_MODEL_6b86b81b263b47d6bff88eae7ac27298",
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+        "IPY_MODEL_801df073b4044471be6694da65e4a542"
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+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_8eef1357de9245b195bb8c469bd7ead3",
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+       "step": 0.2,
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+       "value": 2
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+      }
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+      "state": {
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+      }
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+      "model_module_version": "1.5.0",
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+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_1809c9b8edbd453ab87832b22601e0a5",
+       "outputs": [
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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "c8e7012749b84fa39305a33c26a799b3": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_6e565f5b398f4650abb8949fc453bd88",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "cea905bad6214edcae92d53ddf6236e4": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_34fcf1bcf05c45388cb264a79e2957cf",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_097335eec168447e84a2e176f5e4b09f",
+       "value": 2
+      }
+     },
+     "d1243bb73d99438fb10124692d04bd75": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "180px"
+      }
+     },
+     "decee5f068bf4f9a9953bb1440c517b7": {
+      "model_module": "@jupyter-widgets/output",
+      "model_module_version": "1.0.0",
+      "model_name": "OutputModel",
+      "state": {
+       "layout": "IPY_MODEL_a81a014c7e9b4244b99d90f6a675e007",
+       "outputs": [
+        {
+         "data": {
+          "image/png": 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\n",
+          "text/plain": "<Figure size 700x600 with 2 Axes>"
+         },
+         "metadata": {},
+         "output_type": "display_data"
+        }
+       ]
+      }
+     },
+     "e28fb4589aa54b48ac27afcbf0c851b1": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "ee74131150b643e98b2d8893baeff48a": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {
+       "width": "400px"
+      }
+     },
+     "ef4b01a438fa480cb0bccc1f1741d08e": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "efabf2a4993847ef8f6973a4d2aad604": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "FloatSliderModel",
+      "state": {
+       "description": "Location force $x_F$ = ... (m)",
+       "layout": "IPY_MODEL_3db4c46a998f4fb1a2cc006abec9e021",
+       "max": 5,
+       "readout_format": ".1f",
+       "step": 0.2,
+       "style": "IPY_MODEL_212999408cd24d8c957b1110da7b2b47",
+       "value": 2
+      }
+     },
+     "f2711953728449f9bf46f1396288470c": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "VBoxModel",
+      "state": {
+       "_dom_classes": [
+        "widget-interact"
+       ],
+       "children": [
+        "IPY_MODEL_0d267a54ebc549858e9234f40961968b",
+        "IPY_MODEL_3c74c46546f54680b9bfdc46c0ff6793",
+        "IPY_MODEL_a2b3cea1700646bc9f54cc7a7053e41f"
+       ],
+       "layout": "IPY_MODEL_8a58f80536cc4e77a956e8a17b19d6c5"
+      }
+     },
+     "f457a2d1138b4b999d8991453225ce2d": {
+      "model_module": "@jupyter-widgets/base",
+      "model_module_version": "1.2.0",
+      "model_name": "LayoutModel",
+      "state": {}
+     },
+     "f48d744a516d4abb9151bf88586ab9d5": {
+      "model_module": "@jupyter-widgets/controls",
+      "model_module_version": "1.5.0",
+      "model_name": "SliderStyleModel",
+      "state": {
+       "description_width": "250px"
+      }
+     }
+    },
+    "version_major": 2,
+    "version_minor": 0
+   }
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/book/advanced_structural_mechanics/influence_line_cantilever/overview.md b/book/advanced_structural_mechanics/influence_line_cantilever/overview.md
new file mode 100644
index 0000000..51bb07c
--- /dev/null
+++ b/book/advanced_structural_mechanics/influence_line_cantilever/overview.md
@@ -0,0 +1,5 @@
+# Interactive influence line cantilever beam
+
+The influence lines of the following structure will be investigated
+
+![figuur 1](../data_influence_line_cantilever/Structure_simple_cantilever.gif)
\ No newline at end of file
diff --git a/book/advanced_structural_mechanics/influence_line_simple/Interactive_influence_line_simple_phi.ipynb b/book/advanced_structural_mechanics/influence_line_simple/Interactive_influence_line_simple_phi.ipynb
index 08b8292..1ccaa66 100644
--- a/book/advanced_structural_mechanics/influence_line_simple/Interactive_influence_line_simple_phi.ipynb
+++ b/book/advanced_structural_mechanics/influence_line_simple/Interactive_influence_line_simple_phi.ipynb
@@ -484,8 +484,8 @@
     "    axs[1].spines['left'].set_position('zero')\n",
     "    plt.draw() \n",
     "    \n",
-    "interact(func, a = widgets.FloatSlider(min=0, max=5, value=2, step=0.1, description=\"Location rotation $x_\\phi$ = ... (m)\",readout_format='.1f',style= {'description_width': '250px'},layout = {'width': '500px'}),\n",
-    "         b = widgets.FloatSlider(min=0, max=5, value=2, step=0.1, description=\"Location force $x_F$ = ... (m)\",readout_format='.1f',style= {'description_width': '250px'},layout = {'width': '500px'}) );"
+    "interact(func, a = widgets.FloatSlider(min=0, max=5, value=2, step=0.1, description=\"Location rotation x_phi = ... (m)\",readout_format='.1f',style= {'description_width': '250px'},layout = {'width': '500px'}),\n",
+    "         b = widgets.FloatSlider(min=0, max=5, value=2, step=0.1, description=\"Location force x_F = ... (m)\",readout_format='.1f',style= {'description_width': '250px'},layout = {'width': '500px'}) );"
    ]
   }
  ],
diff --git a/book/advanced_structural_mechanics/influence_line_simple/Interactive_influence_line_simple_w.ipynb b/book/advanced_structural_mechanics/influence_line_simple/Interactive_influence_line_simple_w.ipynb
index fcb4d6e..4b56474 100644
--- a/book/advanced_structural_mechanics/influence_line_simple/Interactive_influence_line_simple_w.ipynb
+++ b/book/advanced_structural_mechanics/influence_line_simple/Interactive_influence_line_simple_w.ipynb
@@ -453,8 +453,8 @@
     "    plt.draw()  \n",
     "\n",
     "    \n",
-    "interact(func, a = widgets.FloatSlider(min=0, max=5, value=2, step=0.1, description=\"Location displacement $x_w$ = ... (m)\",readout_format='.1f',style= {'description_width': '250px'},layout = {'width': '500px'}),\n",
-    "         b = widgets.FloatSlider(min=0, max=5, value=2, step=0.1, description=\"Location force $x_F$ = ... (m)\",readout_format='.1f',style= {'description_width': '250px'},layout = {'width': '500px'}) );"
+    "interact(func, a = widgets.FloatSlider(min=0, max=5, value=2, step=0.1, description=\"Location displacement x_w = ... (m)\",readout_format='.1f',style= {'description_width': '250px'},layout = {'width': '500px'}),\n",
+    "         b = widgets.FloatSlider(min=0, max=5, value=2, step=0.1, description=\"Location force x_F = ... (m)\",readout_format='.1f',style= {'description_width': '250px'},layout = {'width': '500px'}) );"
    ]
   }
  ],