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Created June 14, 2024 17:40
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Duncan-subhalo
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{"metadata":{"kernelspec":{"name":"python3","display_name":"Python 3 (ipykernel)","language":"python"},"language_info":{"name":"python","version":"3.10.12","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"}},"nbformat_minor":5,"nbformat":4,"cells":[{"id":"b498e697-adf9-49a8-ba90-c59401ace7a5","cell_type":"code","source":"import sys\n\nsys.path.append(\"/Users/apricewhelan/projects/streams_overview/notebooks/\")\n\nimport astropy.units as u\nimport gala.dynamics as gd\nimport gala.integrate as gi\nimport gala.potential as gp\nimport galpy.potential as galpy_gp\nimport matplotlib.pyplot as plt\nimport numpy as np\nimport streamsubhalosim as sss\nfrom gala.potential.potential.interop import galpy_to_gala_potential\nfrom gala.units import galactic\n\n%matplotlib inline","metadata":{"tags":[],"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:31:16.281926Z","iopub.execute_input":"2024-06-14T17:31:16.282124Z","iopub.status.idle":"2024-06-14T17:31:19.013489Z","shell.execute_reply.started":"2024-06-14T17:31:16.282103Z","shell.execute_reply":"2024-06-14T17:31:19.013194Z"}},"outputs":[{"name":"stdout","text":"\u001b[91mA new version of galpy (1.9.2) is available, please upgrade using pip/conda/... to get the latest features and bug fixes!\u001b[0m\n","output_type":"stream"}],"execution_count":1},{"id":"02860907-cc05-43f5-be00-dc20e55858ae","cell_type":"code","source":"pot = galpy_to_gala_potential(galpy_gp.LogarithmicHaloPotential(q=0.9, normalize=1.0))\npot","metadata":{"tags":[],"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:31:19.014530Z","iopub.execute_input":"2024-06-14T17:31:19.014703Z","iopub.status.idle":"2024-06-14T17:31:19.018093Z","shell.execute_reply.started":"2024-06-14T17:31:19.014694Z","shell.execute_reply":"2024-06-14T17:31:19.017857Z"}},"outputs":[{"execution_count":2,"output_type":"execute_result","data":{"text/plain":"<LogarithmicPotential: v_c=0.22, r_h=8.00e-08, q1=1.00, q2=1.00, q3=0.90, phi=0 (kpc,Myr,solMass,rad)>"},"metadata":{}}],"execution_count":2},{"id":"63ea52e5-7b81-4fd3-baa1-b7d4eb20c77c","cell_type":"code","source":"infall_mass = 821721.1143670856\nmass = 388702.3566270496\ntime = 10.701074197077835\nz_inf = 11.073789350337767\nconc = 4.039730548858643\nr_te = 0.08446829370706077 * u.kpc\nxv_sub = np.array(\n [2.18209988, -13.46172008, 8.73600519, -166.07440566, -161.14525396, 161.94288727]\n)\nxv_stream = np.array(\n [2.14368964, -13.45213398, 8.67417417, -221.24411947, -74.92061806, 118.24213645]\n)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:31:19.018545Z","iopub.execute_input":"2024-06-14T17:31:19.018662Z","iopub.status.idle":"2024-06-14T17:31:19.020772Z","shell.execute_reply.started":"2024-06-14T17:31:19.018655Z","shell.execute_reply":"2024-06-14T17:31:19.020522Z"}},"outputs":[],"execution_count":3},{"id":"10f081f5-e4ae-484c-bb2a-5b1ff22ecdad","cell_type":"code","source":"b = r_te\nsubhalo_pot = gp.PlummerPotential(10 * mass * u.Msun, b=b, units=galactic)","metadata":{"tags":[],"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:31:19.021220Z","iopub.execute_input":"2024-06-14T17:31:19.021339Z","iopub.status.idle":"2024-06-14T17:31:19.023565Z","shell.execute_reply.started":"2024-06-14T17:31:19.021332Z","shell.execute_reply":"2024-06-14T17:31:19.023173Z"}},"outputs":[],"execution_count":4},{"id":"980df150-9d1e-4727-9bfc-c5f4d2270dfd","cell_type":"code","source":"# Time to evolve the stream post-impact, defined using the time at z=0 in satgen minus\n# the time of closest approach you get from your processing\nt_closest_approach = time * u.Gyr # READ FROM SATGEN OUTPUT\nend_time = 13.46709107 * u.Gyr\nt_post_impact = end_time - t_closest_approach","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:31:19.024050Z","iopub.execute_input":"2024-06-14T17:31:19.024142Z","iopub.status.idle":"2024-06-14T17:31:19.026874Z","shell.execute_reply.started":"2024-06-14T17:31:19.024133Z","shell.execute_reply":"2024-06-14T17:31:19.026416Z"}},"outputs":[],"execution_count":5},{"id":"4afc2c63-0d1d-475b-97cf-d76cfc17986f","cell_type":"code","source":"# Get progenitor final phase-space coordinates (at z=0) and make a gala PhaseSpacePosition object:\nprog_wf = gd.PhaseSpacePosition(\n pos=[12.40171994, 1.4978568, 7.09755544] * u.kpc,\n vel=[107.08596748, -242.97198232, -104.9693348] * u.km / u.s,\n)\n\n# APW says: Because this impact is very near the progenitor, I instead find a different impact\n# site below. I use the same relative velocity vector but that will lead to a slightly different\n# impact geometry...\n# impact_site_at_impact = gd.PhaseSpacePosition(\n# pos=xv_stream[:3] * u.kpc, vel=xv_stream[3:] * u.km / u.s\n# )\n\n# # Subhalo phase-space coordinates at the time of impact (closest approach):\n# subhalo_w0 = gd.PhaseSpacePosition(pos=xv_sub[:3] * u.kpc, vel=xv_sub[3:] * u.km / u.s)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:31:19.027293Z","iopub.execute_input":"2024-06-14T17:31:19.027378Z","iopub.status.idle":"2024-06-14T17:31:19.030198Z","shell.execute_reply.started":"2024-06-14T17:31:19.027368Z","shell.execute_reply":"2024-06-14T17:31:19.029764Z"}},"outputs":[],"execution_count":6},{"id":"53fd4a3d-bfb3-47f2-bdfb-e16ff5da57fa","cell_type":"code","source":"M_stream = 2e4 * u.Msun\n\nstreamdf = gd.mockstream.FardalStreamDF(gala_modified=False)\nsim = sss.StreamSubhaloSimulation(\n pot,\n prog_wf,\n M_stream=M_stream,\n t_pre_impact=t_closest_approach,\n t_post_impact=t_post_impact,\n dt=1.0 * u.Myr,\n release_every=1,\n n_particles=4,\n)","metadata":{"tags":[],"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:31:19.032428Z","iopub.execute_input":"2024-06-14T17:31:19.032603Z","iopub.status.idle":"2024-06-14T17:31:19.043969Z","shell.execute_reply.started":"2024-06-14T17:31:19.032594Z","shell.execute_reply":"2024-06-14T17:31:19.043645Z"}},"outputs":[],"execution_count":7},{"id":"14d72d3f-e4e1-41ca-9772-0a83048f652a","cell_type":"code","source":"_, (init_stream, init_prog) = sim.run_init_stream()","metadata":{"tags":[],"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:31:19.044374Z","iopub.execute_input":"2024-06-14T17:31:19.044464Z","iopub.status.idle":"2024-06-14T17:32:19.838200Z","shell.execute_reply.started":"2024-06-14T17:31:19.044454Z","shell.execute_reply":"2024-06-14T17:32:19.837573Z"}},"outputs":[],"execution_count":8},{"id":"0cb43b4a-12fa-4e00-9b35-2a4b5a80582a","cell_type":"code","source":"impact_site_final = sim.get_impact_site(init_stream, init_prog, prog_dist=20 * u.kpc)\nimpact_site_at_impact = pot.integrate_orbit(\n impact_site_final, dt=-1 * u.Myr, t1=end_time, t2=t_closest_approach\n)[-1]\n\ndxv_sub = xv_sub - xv_stream\nsubhalo_at_impact = gd.PhaseSpacePosition(\n pos=impact_site_at_impact.xyz + dxv_sub[:3] * u.kpc,\n vel=impact_site_at_impact.v_xyz + dxv_sub[3:] * u.km / u.s,\n)\nsubhalo_final = pot.integrate_orbit(\n subhalo_at_impact, dt=1 * u.Myr, t1=t_closest_approach, t2=end_time\n)[-1]","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:32:19.839038Z","iopub.execute_input":"2024-06-14T17:32:19.839144Z","iopub.status.idle":"2024-06-14T17:32:19.851356Z","shell.execute_reply.started":"2024-06-14T17:32:19.839135Z","shell.execute_reply":"2024-06-14T17:32:19.851006Z"}},"outputs":[],"execution_count":9},{"id":"bad3a975-d64e-4889-a238-47cf10ed37ce","cell_type":"code","source":"impact_site_final = pot.integrate_orbit(\n impact_site_at_impact,\n dt=1 * u.Myr,\n t1=t_closest_approach,\n t2=end_time,\n Integrator=gi.DOPRI853Integrator,\n)[-1]","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:32:19.851967Z","iopub.execute_input":"2024-06-14T17:32:19.852256Z","iopub.status.idle":"2024-06-14T17:32:19.861339Z","shell.execute_reply.started":"2024-06-14T17:32:19.852222Z","shell.execute_reply":"2024-06-14T17:32:19.860751Z"}},"outputs":[],"execution_count":10},{"id":"a1e7c476-9d9e-45d4-afe9-ca104fc17ac0","cell_type":"code","source":"prog_style = dict(color=\"cyan\", s=40, label=\"progenitor\", marker=\"^\")\nimpact_style = dict(color=\"r\", s=50, label=\"impact site\", marker=\"x\")\nsubhalo_style = dict(color=\"tab:purple\", label=\"subhalo\", s=25)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:32:19.861995Z","iopub.execute_input":"2024-06-14T17:32:19.862107Z","iopub.status.idle":"2024-06-14T17:32:19.867564Z","shell.execute_reply.started":"2024-06-14T17:32:19.862097Z","shell.execute_reply":"2024-06-14T17:32:19.867186Z"}},"outputs":[],"execution_count":11},{"id":"4d0769af-4145-4068-80fd-b660574bfdc2","cell_type":"code","source":"fig = init_stream.plot()\n_ = init_prog.plot(axes=fig.axes, **prog_style)\n_ = impact_site_final.plot(axes=fig.axes, **impact_style)\n_ = subhalo_final.plot(axes=fig.axes, **subhalo_style)\nfig.axes[0].legend()\nfig.suptitle(\"time = final\", fontsize=22)","metadata":{"tags":[],"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:32:19.868192Z","iopub.execute_input":"2024-06-14T17:32:19.868321Z","iopub.status.idle":"2024-06-14T17:32:22.621850Z","shell.execute_reply.started":"2024-06-14T17:32:19.868311Z","shell.execute_reply":"2024-06-14T17:32:22.621569Z"}},"outputs":[{"execution_count":12,"output_type":"execute_result","data":{"text/plain":"Text(0.5, 0.98, 'time = final')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 864x288 with 3 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check that at the time of impact, the stream particles populate the region where the impact site is:","metadata":{}},{"id":"bae4e24d-5a9b-49b6-a4ca-941e6e865f2e","cell_type":"code","source":"init_stream_at_impact = pot.integrate_orbit(\n init_stream,\n dt=-1 * u.Myr,\n t1=end_time,\n t2=t_closest_approach,\n store_all=False,\n Integrator=gi.DOPRI853Integrator,\n)[0]\nprog_at_impact = pot.integrate_orbit(\n init_prog,\n dt=-1 * u.Myr,\n t1=end_time,\n t2=t_closest_approach,\n Integrator=gi.DOPRI853Integrator,\n)[-1]\n\nfig = init_stream_at_impact.plot()\n_ = prog_at_impact.plot(axes=fig.axes, **prog_style)\n_ = impact_site_at_impact.plot(axes=fig.axes, **impact_style)\n_ = subhalo_at_impact.plot(axes=fig.axes, **subhalo_style)\nfig.axes[0].legend()\nfig.suptitle(\"time = impact\", fontsize=22)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:32:22.622249Z","iopub.execute_input":"2024-06-14T17:32:22.622331Z","iopub.status.idle":"2024-06-14T17:36:00.052014Z","shell.execute_reply.started":"2024-06-14T17:32:22.622322Z","shell.execute_reply":"2024-06-14T17:36:00.051712Z"}},"outputs":[{"execution_count":13,"output_type":"execute_result","data":{"text/plain":"Text(0.5, 0.98, 'time = impact')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 864x288 with 3 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# Compute \"buffer\" time duration and timestep\n# # Buffer time is 32 times the crossing time:\n# BUFFER_N = 32\n# subhalo_dv = np.linalg.norm(subhalo_w0.v_xyz - impact_site.v_xyz) # RELATIVE VELOCITY\n# subhalo_dx = subhalo_pot.parameters[\"r_s\"]\n\n# # Minimum buffer time = 20 Myr\n# t_buffer_impact = np.round(\n# (BUFFER_N * subhalo_dx / subhalo_dv).to(u.Myr), decimals=0\n# )\n# t_buffer_impact = np.max(u.Quantity([t_buffer_impact, 20 * u.Myr]))\n\n# # Minimum buffer time step = 0.05 Myr\n# impact_dt = np.round((t_buffer_impact / 256).to(u.Myr), decimals=1)\n# impact_dt = np.max(u.Quantity([impact_dt, 0.05 * u.Myr]))\nt_buffer_impact = 20 * u.Myr\nimpact_dt = 0.05 * u.Myr","metadata":{"tags":[],"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:36:00.052666Z","iopub.execute_input":"2024-06-14T17:36:00.052756Z","iopub.status.idle":"2024-06-14T17:36:00.054913Z","shell.execute_reply.started":"2024-06-14T17:36:00.052747Z","shell.execute_reply":"2024-06-14T17:36:00.054641Z"}},"outputs":[],"execution_count":14},{"id":"9214ac36-8558-43ec-804a-d2bc5aedbd4d","cell_type":"code","source":"stream, final_prog, _ = sim.run_perturbed_stream(\n subhalo_at_impact, subhalo_pot, t_buffer_impact, impact_dt\n)","metadata":{"tags":[],"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:36:00.055388Z","iopub.execute_input":"2024-06-14T17:36:00.055476Z","iopub.status.idle":"2024-06-14T17:39:00.908891Z","shell.execute_reply.started":"2024-06-14T17:36:00.055468Z","shell.execute_reply":"2024-06-14T17:39:00.908171Z"}},"outputs":[],"execution_count":15},{"id":"bae9f687-db67-42f3-b06f-b9aa582a83bf","cell_type":"code","source":"stream.plot();","metadata":{"tags":[],"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:39:00.909786Z","iopub.execute_input":"2024-06-14T17:39:00.910049Z","iopub.status.idle":"2024-06-14T17:39:01.336422Z","shell.execute_reply.started":"2024-06-14T17:39:00.910038Z","shell.execute_reply":"2024-06-14T17:39:01.335794Z"}},"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 864x288 with 3 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= sss.get_in_stream_frame(stream, prog=final_prog, impact=impact_site_final)\ninit_stream_c = sss.get_in_stream_frame(init_stream, stream_frame=stream_c)\nimpact_site_c = sss.get_in_stream_frame(impact_site_final, stream_frame=stream_c)","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:39:01.337259Z","iopub.execute_input":"2024-06-14T17:39:01.337657Z","iopub.status.idle":"2024-06-14T17:39:01.375998Z","shell.execute_reply.started":"2024-06-14T17:39:01.337644Z","shell.execute_reply":"2024-06-14T17:39:01.375681Z"}},"outputs":[],"execution_count":17},{"id":"dcd2e05c-3c27-4e05-acc2-e4a39f663982","cell_type":"code","source":"fig, axes = plt.subplots(\n 2, 1, figsize=(10, 5), sharex=True, sharey=True, layout=\"constrained\"\n)\n\nstyle = dict(marker=\"o\", ls=\"none\", mew=0, ms=1.5)\naxes[1].plot(stream_c.phi1.degree, stream_c.phi2.degree, **style)\naxes[0].plot(init_stream_c.phi1.degree, init_stream_c.phi2.degree, **style)\n\nax = axes[0]\nax.set_xlim(-40, 40)\nax.set_ylim(-10, 10)\n\nfor ax in axes:\n ax.set_ylabel(r\"$\\phi_2$\")\naxes[-1].set_xlabel(r\"$\\phi_1$\")","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:39:01.376459Z","iopub.execute_input":"2024-06-14T17:39:01.376545Z","iopub.status.idle":"2024-06-14T17:39:01.716181Z","shell.execute_reply.started":"2024-06-14T17:39:01.376537Z","shell.execute_reply":"2024-06-14T17:39:01.715112Z"}},"outputs":[{"execution_count":18,"output_type":"execute_result","data":{"text/plain":"Text(0.5, 0, '$\\\\phi_1$')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 720x360 with 2 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bins = np.histogram(stream_c.phi1.degree, bins=np.linspace(-40, 40, 101))\nH_init, _ = np.histogram(init_stream_c.phi1.degree, bins=bins)\n\nxc = 0.5 * (bins[:-1] + bins[1:])\n\nfig, axes = plt.subplots(\n 2, 1, figsize=(10, 5), sharex=True, sharey=True, layout=\"constrained\"\n)\naxes[0].errorbar(xc, H, np.sqrt(H), ls='none', marker='o')\naxes[1].errorbar(xc, H_init, np.sqrt(H_init), ls='none', marker='o')\n\naxes[-1].set_xlabel(r\"$\\phi_1$\")","metadata":{"trusted":true,"execution":{"iopub.status.busy":"2024-06-14T17:39:01.717944Z","iopub.execute_input":"2024-06-14T17:39:01.718358Z","iopub.status.idle":"2024-06-14T17:39:01.978611Z","shell.execute_reply.started":"2024-06-14T17:39:01.718292Z","shell.execute_reply":"2024-06-14T17:39:01.977909Z"}},"outputs":[{"execution_count":19,"output_type":"execute_result","data":{"text/plain":"Text(0.5, 0, '$\\\\phi_1$')"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 720x360 with 2 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2blzZ+bv//7vM8uXL8/88pe/zNtueHg4V/6j0ldAL7nkklzbrVu35pZ/+tOfzi3fs2dPye3Xr1+fa/fd73634jm1UgmRWn+tvh5ffZYHX7P14hh2maaZ1y+rZUNqfS5W++VFqQO3avlY2TkXJ79XXpZc8ZtmPXc7r0enJRi8OIbd43hRNserkldWjuPmPbGWZa/clrCq1bm77Vctr/NONVMpFAAAALQmN1lrVUZgZ0e9bN++XVdffbX+7u/+Tscdd5ykAyMGL7/8crW1tWnNmjXaunVrbrvR0dHc/WnTppU9xsT1E7ebOLqp3D5Kbd/qvBjp7GTkY7NOCFZrXo4Mt8Nqv5yMQnY7+txP7JyLk98rv0746YVmPHe7o33tjKh2yotj2BlN7Wb0rp0R205H+1o9jptvmzh9Tqy8J7r5ZoPVc3fy90CzfeOi2SafBQAAAOyqSoCdLemxd+9eHX/88XrXu96Vt37OnDk64YQTtG/fPq1duza3fMaMGbn74+PjZY8xNjZWdLuDDjrI0j4mrpu4favz4p88J/98ugmbnH6Fu5ZfX/ezWn3l3QkvSh24ZaUciBtWz8XJ75XXJVf8pNnO3Wmg5cWHXE6OYfU65EXZHK9KXtk5jttyIE6eEyvviU4/bLZz7k7+HqjHh+C1UusSLQAAAEAjqEqAPXPmzNz9k08+uWibRYsWSZIeeeSR3LKJdan37t1b9hj79u3L3Z9Y63ri/XL7mLiuUr3tVuLFP3lO/vl0GjZ5OUrJSZDpt1HefhzV5XREtVejz714Dq2ci5PfK69q4vpRM517swVaVq9DToJiu+9xTo7hJCR3chw/ftvEyXXI7rk7+XugWb5x4ff5QAAAAACvTK3GTib+w/+Od7yjaJtAICDpQPmOXbt2aebMmTriiCM0ZcoUjY+Pa8eOHWWPkf3jfPbs2bl9SdIRRxyhzZs3S5J27NiRF6YX216SjjzySAtn1Rq8+CcvFApp9erVZf/Bn/zPZzZs6uvrK7nN5LApG+pMlg11JFX1H3wnAebEkWy1CkCtBupuHq+Jfbd6HnaC/kgkot7e3rzf9WQy2RDholec/F5Jf3pO4/F43raGYSgcDjdUyRW7muHcrQZavb29Vft9qdW3DSR71yE7QXF3d7ck++9xTo5R6xIX2eNI/rs2OrkO2T13J38POL0+SsW/DTDx8faS09eJ15z8TQAAAADYUZUA+4gjjsjdnz59etE2E5dPmXJg4PecOXP0rne9S//1X/+lt956q+T+x8fHtW3bNknSiSeemNtekrq6uvTwww9Lkt58800ddthhRfeR3X97e7uWLFli4axag5t/8qxy8s+nZC9schvq+OkfVres/PPo9vFyEsTb/afWyxHVxe77ndPfK8l/IZiXGv3cqxFo2Q2ka/V7Yfc65LRsjp33OK9KXrn59pMX10ar74lOrkNOzt3uh09Or4+xWKzgNRkMBuv2AVejlELx4sN5LzTq3wMAAACtoCoB9vve977c/VJfY9y+fbsk6ZBDDsmrW33aaafpv/7rv/Taa69pbGxM7e3tBdv+93//d66EyOmnn5637tRTT9XNN9+s8fFxbd26NTd55GTZUdrve9/7Kn4VtZW4CcHscDry0WrY5CbU8ds/rF5olFFdXvDrP95WQkY3I4r9OuGnFxr53KsRaHnxOrfy+rV7HXJTNsfqe5zTkld2PwiuR4kLO9/OsfOeaPc65PTc7X74ZLdfXn+Ly4pmKYXSKPz69wAAAAAkZapgbGws89nPfjazdOnSzA9/+MOibf7hH/4hs3Tp0sz111+ft3zHjh2Zc889N7N06dLM888/X3Tb+++/P7N06dLMX/3VX2X2799fsP7rX/96ZunSpZkbbrih6Pb79+/PfPSjH80sXbo089RTT1k6p5NOOilz0kknWWrbDKLRaMYwjIyk3M0wjEw0Gq3qcUzTzDuGaZqWtpu4TTFf+9rX8tqUuk0+n2g0aqu9G6Ojo3n7Hh0drdq+7XL6eGVVej6qxe5x+vv7c7daHcOPavV71cwa9dxvvfVWS7+7Q0ND9e5qRXavQ6OjowXvU5NvhmEUff1bfY9zegy77yVuziWTqd3r1817otXrkNfnbqVfbvtUK37t12SNej2drFnOAwAAwK/cZK1VmcRxypQpWrVqlSTpscceK1i/f/9+PfbYY5o2bZrOO++8vHUHH3xwbttHH3206P6zEz/29PQUHaF9wQUXaNasWXrssceUyWQK1j/55JPavXu3TjvtNC1evNjeybWISCSiZDKZtyyZTFYcbWR3QrtajXz0YiIpN/w2WaKbUV3FvlpeK3YnyvTbJJle8fOI4lZ9Tpyq9Hg5neDWj+xeh9xMxGn1Pc7pMexOsOjHSUXdvidavQ55fe5W+uVkIk4v+PF1Ui28NwAAAMCWaqXo+/fvz/z93/995uyzz868/PLLeevuvPPOzNKlSzPr1q0ruf3//b//NxMKhTJvvPFG3vIXXnghs2LFisz3v//9ssffsGFD5uyzz87cddddBf364he/mPmbv/mbTDqdtnw+rTYCO0s2R5/YbV+rbZyMUvJqJKOXo7ytcjPK0IuR+l7x06h4t7z6XfSiX15wMlrfC1YeLz9eU5yox3XI6uvR6THsfhvC6XFq8fqtxnuind93p+dei2ud228lOWX1efTze6/T91G/vTc0098DAAAAfuUma63qX4179uzJxOPxzKc//enM+vXrM4899ljmu9/9biYUChUEy5Pt27cvc9NNN2X+8i//MvOTn/wk8+ijj2bWrl2bOf/88zN33HGHpeM/8sgjmfPPPz9z8803Zx566KHMfffdl/niF7+Y+bu/+7vMtm3bbJ0LAXZjBdiZjP1Qx4t/WP389V+7j1ezhGZZfg4EnHDye+VFiOu3kMLvah2w+o3T64oXZXO8Ks3j9DjVVo33RC/OvRaloupVmseL12MtefFhkhea5XoKAADgd26y1rZMpkjNDZdeffVVPfnkk/rjH/+oww8/XCeddJIOPvhgS9u+/vrrevzxxzU6OqpDDz1Up5xyijo6Oiwfe8+ePXr88ce1efNmTZ8+XYsXL9a73vUu2+fQ1dUlSRoeHra9bSNra2vL3bfy0rDbXnI2y7vVbbKTT1mZsGloaEg9PT0Vjz00NOR4IkMvjuGG1cfLNE0Fg8GKk5SVm1DLT0pN1pVV7Cv/fufk98oLTq4RrczO45VKpfImtDNNsyF+/yazc92eyMlry4v3OK+2qbZqvF85uQ55ce6VjlGv9zgvXo+14vZ91C/n0ox/DwAAAPiVm6y1JgF2M2jVANvOP5+maeZ9uDA6OpoXptSL1VDHi39Yo9GovvrVr1pqV69/kKw8Xn4P4u1otjDez/x6jfArJ4+XX0Igt5yE8V58gNpKAXajhLhOWHne6xFkNmqA7fa14pf3Bv4eAAAA8JabrLUqkziieVidVMdvkxJO5KeJpNxMlugVK4/XyMiIpX1ZbVdPfp2sq9n4+RrhR63+eHk1ESkTx5XW6hMG2p2I0y0vJ0SuNjfvo3661vH3AAAAQOOYWu8OoPGUGqWUTqdzyxvl65bZfjr5+roVoVBIq1evrji6JxQKuTpOrTVCEG9VM4XxftVM1wgv8Hg509/fX+8uFOXXfllR6/fEYvz0eEUiEfX29uaNBq7F6Nts2ZyJgsFgxcfYL4+V0/dRv13r+HsAAACgcVBCpIRWLSFSSaN83dLu12xrWUu2Eeor+rU+aC00UzkUP2qm14oX3D5efq197oRfyiNM5NXj67fnsVnqqztVy/I0jfA3QSVO3kf9+N7A3wMAAADeogZ2DRBgF9cof+z7bSIpp5OUecWv9UFrwY//RDeTRrlG+AWP15/4McBuZa38fNSqjnmzvP84OQ8/Xuua5fkAAABoFG6yVkqIwJZG+bqlH0awTeTV15KdsvJ41eOr5bWQrfNaLoxv1DqvftAo1wi/4PH6E7+URwBqxU7N5WqFuLUY3e/kfdSP1zr+HgAAAGgcBNiwpZlqIXvNq0nKasnvQbxVzRLG+xHXCHt4vP7Ebx88onXV6sOUeoS4g4ODufvV/B2z+z7q9lpXqzI7bv8e8Fv5HwAAgGZFCZESKCFSXDN/3dKLf0Ka5SvZzXIerV7ntRaa+RpRCzxe8Ktmuc57wTRNdXR05H4eHR3Ne2/JqkcZjVo/j1bfR91e6/xyHl73CwAAoJm4yVqnVLszaG7Zr1uW06hftxwYGMjd0BqaYVS83zTzNaIWeLzgV/39/bkbSovFYgoGg3nLgsGgYrFYQdtQKCTDMMruzzAMhUKhqvTNNM2yP1eD1fdRv1/r+HsAAADA3wiwYVskElE0Gi34J8wwjIaZyA9A7XCNsIfHC37Eh7qVZSc3njyqOJ1Oq6+vryDE9jLEtROse4VrHQAAAJyihEgJlBCpjPIL9jVLrcRmOQ+Jr//WEtcIe3i8gMbhpiRGLBar6RwM2WC9lGqHxXbfR+1e66yWaJnM7t8qds/Dab8AAABalZuslQC7BAJsawj/0OiaKYz3I64R9vB4AY3BbT3rWn1gVY+6+k7eR61e69yE/Xavp3bOo9YfQgAAADQjN1nr1Gp3BgAaCaE1AMCukZERV+1qVXM5kUiUDa+lAyVOEolE1SaKrNX7aKmR5NkSLZKqGhZbPQ+v+wUAAABqYAMAAAC2dHZ2VrVdtbgN1v3CNE3F4/GybeLxuFKplEc9OsCv/QIAAGh2jMCGK/39/fXuAgAf4xphD48X0BhCoZBWr15dsVRHKBTysFf+DdYnq3StczuS3DTNgp+rUZ+6HiPcAQAAQIANlyi/AKAcrhH28HgBjSEQCCgcDpedLDEcDpctDVKLD6z8GqxPVula52YkebY+9UTBYLAq9ambZYQ7AABAoyHABgAAAGzKhqFOJ/OrxQdWboN1v0xs7HQkea3rUzfKCHcAAIBm05axMi13C3IzMyYAAABaQyqVyitPYZpm1SZldCo7CtlusN7W1pa7X89/EUzTVDAYrDiSPJlM5h5rJ9t40S8AAAAc4CZrZRJHAAAAwKHJQaUfgstIJKJkMpm3LJlMui6h4ZXsSPJyJo8kt1Of2st+AQAAwD1KiAAAAABNxo/Buh12S7R4VZ/abekYAAAA2EeADQAAALQ40zQLfp5YGqUeIpGIent78/pRqjyHl/Wp7fQLAAAA7hFgAwAAAC709/fXuwuuZGtmTxQMBn0xotjqSPJQKKTVq1dXrE8dCoU87ddkfpkoEwAAoJEQYAMAAAAu+DWItBKsx2Ix9fX1FSxPp9O55fUOsa3I1qcudi5ZfqhPPTg4mLvv19cNAACA37Rl6jnFuI+5mRkTAAAA8DvTNBUMBiuOWq53eYy2trbc/Ur/umRHk3tRn9pOv9xsAwAA0AzcZK2MwAYAAABaUCKRKBteSwdGYicSCXV3d3vUq0J2SrR4WZ+60UvHAAAANAoCbAAAAKAFjYyMVLVdrdgtteG0PrVddvvlx4kyAQAAGsGUencAAAAAgPc6Ozur2g6lxWIxBYPBvGXBYFCxWKxOPQIAAGgcBNgAAABACwqFQjIMo2wbwzAUCoU86lFzyk6UOblcS3aiTEJsAACA8ighAgAAALSgQCCgcDisvr6+km3C4XBdJ3B0yi/1qU3TVDweL9smHo+rt7e3IR9nAAAALxBgAwAAAC0qEolIOhCiThwhbBiGwuFwbn2jsVufulYaZaJMAAAAPyPABgAAAFpYJBJRb29v3oSCyWSSEcFV0CgTZQIAAPgZATYAAADQ4iaH1YTX1dEIE2VOHK3ul5HrAAAAE7VlMplMvTvhR11dXZKk4eHhOvcEAAAAqL22trbcff5FqA7TNBUMBsuWETEMo64j3nneAQCAF9xkrVOq3RkAAAAAwJ8myiynUSfKBAAA8AolRAAAAACov7+/3l1oSs06USYAAIBXKCFSAiVEAAAAAFRLKpXKmyjTNM26j7w2TVMdHR25n0dHR/P6CAAAUC2UEAEAAAAAH/PbRJmxWEzBYDBvWTAYVCwWq1OPAAAAiqOECAAAAAC0kFgspr6+voLl6XQ6t5zSJgAAwC8IsAEAAADAA36oM26apuLxeNk28Xhcvb29dR8lDgAAIBFgAwAAAIAnBgYGPD1GseMlEom8ySSLSafTSiQS6u7urnLvAAAA7CPABgAAAIAmMTg4mLtfLMAeGRmxtB+r7ayqFKwDAACUQoANAAAAAC2is7Ozqu2sqhSsAwAAlEKADQAAAABNwDTNgp8DgUDeslAopNWrV5ctI2IYhkKhUMn1jKYGAABemlLvDgAAAAAA3InFYgoGg3nLgsGgYrFY3rJAIKBwOFx2X+FwuOwEjoODg7mbFcWCdQAAAKsYgQ0AAAAAPmR1pHMsFlNfX1/B8nQ6nVseiURyy7P34/F43khswzAUDofz2roVi8UUj8fzlgWDwYrHYZQ3AADIastkMpl6d8KPurq6JEnDw8N17gkAAACAVtTW1pa7X+rfNtM0FQwGK5YESSaTBaOqU6lUXokR0zTLjrzOtuno6Mj9PDo6WlCmJKtUsJ4VjUZLhthWzn0yQm8AAPzLTdZKgF0CATYAAACAerIS4g4NDamnp6fivoaGhtTd3e3oGFnZ0dRWRm27Cdbt9svpNk4Cb0JyAACccZO1UkIEAAAAAHzGyoSMkjQyMmJpf1bblWK3TEkikSgbXme3TSQSBcG61XN3a2INb6thtJNtAACAO0ziCAAAAAA+YnVCRknq7Oy0tM9S7fr7+3O3UkzTLKhjPVk8Hlcqlcr97DRYt3Puk/tY7mcAANC4CLABAAAAwCeyI50nj17OjnSeHOSGQiEZhlF2n4ZhKBQKFV03MDCQu5ViZzR1lpNg3e65T9zObujtJPAmJAcAoD4IsAEAAADAB5yMdA4EAgqHw2W3CYfDFSdnLMfJaGq7wbqTc5echd5OAm+nI8MBAIB7BNgAAAAA4ANORjpLB2pPR6PRgsDYMAxFo9GCCRbtcjKa2m6w7uTcnYTeTgNvJyPDAQBAdRBgAwAAAIAPuJmQMRKJKJlM5i1LJpOuw2vJeZkSO8G6k3O3G3o7CbydjgwHAADVQ4ANAAAAAD7gdkLGyWVC3JQNmchNmRKrwbqTc7cbejsZ5e10VDwAAKgeAmwAAAAA8AG3EzLWkpsyJVaCdSfnbjf0djLK282oeAAAUB0E2AAAAADgA9WYkLG/vz93q7Zalilxcu52Q28no7zdjooHAADutWUymUy9O+FHXV1dkqTh4eE69wQAAABAK4nFYorH43mlKwzDUDgcrkpY7FZbW1vuvtV/JwcGBoren8zuuWcnWCxl4uhw0zQVDAbLlgQxDEPJZDIXlDvZBgAAFHKTtdY8wDZNUz09Perp6dHZZ59dse3atWv11FNPafr06dq7d6/e/e53a9WqVTr00EMtHe/ee+/Vz372M42NjWl8fFyzZs1SKBTSKaecYqvfBNgAAAAA6iWVSikQCOR+Nk3TNwGpkwDbDrvnbif0thN4u9kGAADkc5O1Tq12Zya78cYbNTo6WrHdli1bdOWVV+rUU0/Vddddp+nTp2tsbEz/9m//posuukjRaFTHHXdcye3Hx8cVj8f1wgsvKBqNKhgMSpKef/55RSIRrVixQp///OerdVoAAAAAUDO1mpCxGmpRnmQiu+ceiUTU29ubF3qXGhGdDZrtjPJ2sg0AAKiemo7A/vWvf63BwUFJ0hVXXFFyBHYqlVJvb6+mT5+ub3/725oyJb8095e//GW9+OKL+uY3v1myttg//dM/ad26dfrmN7+pY489Nm/dfffdp69//ev627/9W5177rmW+s4IbAAAAAD1VOuRzn7m5NztbONkhLufR8UDAOB3vhyBnUql9M1vftNS2+985ztKJpP6m7/5m4LwWpLOPvtsxeNxXXvttVqzZk3B+qefflrr1q3TUUcdVRBeS9KZZ56pG264Qd/+9rf1v/7X/2KCDQAAAAC+V+uRzn7mt1HeTrcBAADu1SzAvvHGGzVz5kxt3769bLtkMqn77rtPkrR48eKibbLLf/vb3+rpp58uaPf9739fknTCCScU3X7atGlatGiRnnjiCd1+++264oorbJ0LAAAAAHit3GSHzc7Jubdy4A8AQDOrSYD90EMP6cknn1Rvb6+uuuqqsm3vvvtujY2Nqa2tTfPnzy/a5pBDDtHs2bO1Y8cO3XXXXXkB9pYtW/TUU09Jko466qiSxzn66KP1xBNP6P7779ff/u3faubMmfZPDAAAAADgS3ZDbyeBNyE5AADeq3qAnUqldP311+vSSy/V7NmzK7Z//PHHJUmBQKBsqNzZ2akdO3boiSeeUCaTydU3y24vSfPmzSu7vSTt27dPTz31lN7//vdX7NumTZu0bNmyiu1Kuffeex1vCwAAAACoHSejvFt5VDwAAG5y0k2bNmnhwoWOti0sOO3SzTffrMWLF+vP//zPK7bdtWuXXnjhBUlSR0dH2bbZ9aOjo3r11Vdzy5955pmCNuW2n7wNAAAAAAAAAMCfqjoC++GHH9bw8LCGhoYstd+2bVtuduhKJT1mzZqVu//WW29pwYIFuftZ5fYxeXsrFi5cyChqAAAAAICvTRwZzihxAECtuMlJu7q6HG9btQB7x44duu6663TppZdano3ZNM0/dWRq+a5MXD9xO6v7KLU9AAAAAACNbHBwMHefABsA0GyqVkLk5ptv1gknnKAzzjjD8jYHHXRQ7v74+HjZthPXT9zO6j5KbQ8AAAAAAAAA8KeqjMB+5JFH9Pjjj+uWW26xtd3cuXNz9/ft21e27d69e4tuZ3UfpbYHAAAAAKBWal3eY/I3jE3TVCAQqPpxAACoF9cjsHfu3KnrrrtOl1xyScWJGCfr6OjQ7NmzJUmpVKps2+z6KVOmKBgM5pYfccQRBW3KbS9JRx55pK1+AgAAAADgxODgYO5WbbFYLO//Y0kKBoOKxWJVPxYAAPXiegT2b3/7W02bNk3r16/X+vXr89bt3Lkzd/+OO+7Qz3/+c0nSMcccoy984QuaMmWKlixZogcffFDbt29XJpNRW1tb0eNkJ15cuHBhXo3tk08+WT/+8Y/z2pTbXnJXNBwAAAAAgHqLxWLq6+srWJ5Op3PLI5GI190CAKDqXAfYZ5xxRsm610899ZSuuOIKSdLKlSt19tlnF7Q5/fTT9eCDD2rPnj164403dNhhhxW02bdvn1577TVJ0mmnnZa37n3ve58Mw1A6ndbWrVtL9nPLli2SDnwavWDBAmsnBwAAAACAQ7Uq72GapuLxeNk28Xhcvb29eQPAAABoRFWbxNGpD3zgAzr88MMlSc8//3zRNps2bdLY2Jhmz56tc845J2/djBkz9MlPfrLs9pK0ceNGSdKqVauq0W0AAAAAAEpyWt5jYGAgdyslkUgonU6X3U86nVYikbDcXwAA/KruAXZ7e7t6enokHZgMspjs8s9+9rMyDKNg/XnnnadDDz1UTz/9tHbt2lWwfsuWLdq8ebMWLlyoD33oQ1XsPQAAAAAA+bLlPSaHzNnyHuVCbCs1s0dGRiz1w2o7AAD8rKYB9p49e3L39+7dW7LdGWecoVWrVumBBx7QSy+9lLfujTfe0F133aWzzz47N9J6MsMw9LWvfU2ZTEZr164tWP+9731Phx56qK666iq1t7c7PBsAAAAAAMqzWt4jlUoV3bbcz1mdnZ2W+mK1HQAAftaWyWQy1dzht771LW3atEnSgZHP27ZtkyTNnj1bRx99tCRp3rx5uvLKKwu2/bd/+zf99Kc/1TnnnKOjjjpKIyMjWrdunU477TT19PRUDJ83btyor3/963rve9+rU089Vfv379d9992n0dFRhcPhXKkSK7ITPQ4PD1veBgAAAADQ2oaGhnLfMq7Urru7O/dzLBZTPB7PG7VtGIbC4XDBZIymaSoYDJYtI2IYhpLJJDWwAQC+4CZrdT2J42QXX3yx420/85nPaPny5dqwYYNeeOEFdXR06Oqr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