{ "cells": [ { "cell_type": "markdown", "id": "49bcb5b0-f19d-4b96-a5f1-e0ae30f66d8f", "metadata": {}, "source": [ "## A cycle of reactions between `A`, `B` and `C` : (1) `A <-> B <-> C `\n", "#### the \"closing\" of the above cycle (the \"return\" path from `C` to `A`) is coupled with an \"energy donor\" reaction:\n", "## (2) `C + E_High <-> A + E_Low`\n", "#### where `E_High` and `E_Low` are, respectively, the high- and low- energy molecules that drive the cycle (for example, think of ATP/ADP). \n", "Comparisons are made between results obtained with 3 different time resolutions.\n", "\n", "All 1st-order kinetics. \n", "\n", "LAST REVISED: June 23, 2024 (using v. 1.0 beta36)" ] }, { "cell_type": "code", "execution_count": 1, "id": "10fcf04b-b30a-4c69-9488-1772ed805616", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Added 'D:\\Docs\\- MY CODE\\BioSimulations\\life123-Win7' to sys.path\n" ] } ], "source": [ "import set_path # Importing this module will add the project's home directory to sys.path" ] }, { "cell_type": "code", "execution_count": 2, "id": "c37d4586", "metadata": { "tags": [] }, "outputs": [], "source": [ "from experiments.get_notebook_info import get_notebook_basename\n", "\n", "from life123 import ChemData\n", "from life123 import UniformCompartment\n", "from life123 import Numerical as num\n", "\n", "from life123 import GraphicLog" ] }, { "cell_type": "code", "execution_count": 3, "id": "cc53849f-351d-49e0-bfa8-22f8d8e22f8e", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-> Output will be LOGGED into the file 'cycles_1.log.htm'\n" ] } ], "source": [ "# Initialize the HTML logging\n", "log_file = get_notebook_basename() + \".log.htm\" # Use the notebook base filename for the log file\n", "\n", "# Set up the use of some specified graphic (Vue) components\n", "GraphicLog.config(filename=log_file,\n", " components=[\"vue_cytoscape_2\"],\n", " extra_js=\"https://cdnjs.cloudflare.com/ajax/libs/cytoscape/3.21.2/cytoscape.umd.js\")" ] }, { "cell_type": "markdown", "id": "d6d3ca49-589d-49b7-8424-37c7b01bcacf", "metadata": {}, "source": [ "### Initialize the system" ] }, { "cell_type": "code", "execution_count": 4, "id": "23c15e66-52e4-495b-aa3d-ecddd8d16942", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 3 (at temp. 25 C)\n", "0: A <-> B (kF = 9 / kR = 3 / delta_G = -2,723.4 / K = 3) | 1st order in all reactants & products\n", "1: B <-> C (kF = 8 / kR = 4 / delta_G = -1,718.3 / K = 2) | 1st order in all reactants & products\n", "2: C + E_high <-> A + E_low (kF = 1 / kR = 0.2 / delta_G = -3,989.7 / K = 5) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {'E_high', 'C', 'B', 'E_low', 'A'}\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `cycles_1.log.htm`]\n" ] } ], "source": [ "# Initialize the system\n", "chem_data = ChemData(names=[\"A\", \"B\", \"C\", \"E_high\", \"E_low\"])\n", "\n", "# Reaction A <-> B, mostly in forward direction (favored energetically)\n", "# Note: all reactions in this experiment have 1st-order kinetics for all species\n", "chem_data.add_reaction(reactants=\"A\", products=\"B\",\n", " forward_rate=9., reverse_rate=3.)\n", "\n", "# Reaction B <-> C, also favored energetically\n", "chem_data.add_reaction(reactants=\"B\", products=\"C\",\n", " forward_rate=8., reverse_rate=4.)\n", "\n", "# Reaction C + E_High <-> A + E_Low, also favored energetically, but kinetically slow\n", "# Note that, thanks to the energy donation from E, we can go \"upstream\" from C, to the higher-energy level of \"A\"\n", "chem_data.add_reaction(reactants=[\"C\" , \"E_high\"], products=[\"A\", \"E_low\"],\n", " forward_rate=1., reverse_rate=0.2)\n", "\n", "chem_data.describe_reactions()\n", "\n", "# Send the plot of the reaction network to the HTML log file\n", "chem_data.plot_reaction_network(\"vue_cytoscape_2\")" ] }, { "cell_type": "markdown", "id": "d1d0eabb-b5b1-4e15-846d-5e483a5a24a7", "metadata": {}, "source": [ "### Set the initial concentrations of all the chemicals" ] }, { "cell_type": "code", "execution_count": 5, "id": "e4ff6a84-f5d5-4645-9c56-d9e981c108df", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'A': 100.0, 'E_high': 1000.0}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "initial_conc = {\"A\": 100., \"E_high\": 1000.} # Note the abundant energy source \"E_high\"; anything not specified will default to zero\n", "initial_conc" ] }, { "cell_type": "code", "execution_count": null, "id": "7d01270d-e173-44c5-b101-7a7661cc869a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "cc7ffb34-d31e-4543-ad53-09786f9ecebc", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e9403630-eb9f-49d7-8888-d973028ab4f4", "metadata": { "incorrectly_encoded_metadata": "tags=[] jp-MarkdownHeadingCollapsed=true tags=[] jp-MarkdownHeadingCollapsed=true jp-MarkdownHeadingCollapsed=true tags=[] jp-MarkdownHeadingCollapsed=true jp-MarkdownHeadingCollapsed=true tags=[] jp-MarkdownHeadingCollapsed=true", "tags": [] }, "source": [ "# Run # 1 : FIXED time resolution, with COARSE time steps - broken up in 3 time intervals \n", "(trial and error, not shown, reveals that increasing any of the time steps below, leads to \"excessive time step\" errors; \n", "note: fixed time resolution is generelly NOT recommended, except for double-checks and error analysis)" ] }, { "cell_type": "code", "execution_count": 6, "id": "e80645d6-eb5b-4c78-8b46-ae126d2cb2cf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "5 species:\n", " Species 0 (A). Conc: 100.0\n", " Species 1 (B). Conc: 0.0\n", " Species 2 (C). Conc: 0.0\n", " Species 3 (E_high). Conc: 1000.0\n", " Species 4 (E_low). Conc: 0.0\n", "Set of chemicals involved in reactions: {'E_high', 'C', 'B', 'E_low', 'A'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data)\n", "dynamics.set_conc(conc=initial_conc, snapshot=True)\n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 7, "id": "d77cd506-65b0-4604-94e7-a9fa226ede08", "metadata": {}, "outputs": [], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()" ] }, { "cell_type": "markdown", "id": "0b46b395-3f68-4dbd-b0c5-d67a0e623726", "metadata": { "tags": [] }, "source": [ "### We'll split the simulation in three segments (apparent from the graphs of the runs, further down): \n", "Time [0-0.03] fast changes \n", "Time [0.03-5.] medium changes \n", "Time [5.-8.] slow changes, as we approach equilibrium " ] }, { "cell_type": "code", "execution_count": 8, "id": "50ddd8e3-58c6-41f8-b874-ddc9a1d64d30", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "38 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.0008, target_end_time=0.03, variable_steps=False)\n", "#dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 9, "id": "fbf24a85-b152-4b24-b350-00bed12e7bb9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4970 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.001, target_end_time=5., variable_steps=False)\n", "#dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 10, "id": "938b9678-900a-4d6b-8cac-68d62545b09e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "600 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.005, target_end_time=8., variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 11, "id": "813314da-3859-4bf1-9cae-764da773c40f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCE_highE_lowcaption
00.0000100.0000000.0000000.0000001000.0000000.000000Initialized state
10.000899.2800000.7200000.0000001000.0000000.000000
20.001698.5669121.4284800.0046081000.0000000.000000
30.002497.8643452.1256060.010049999.9963140.003686
40.003297.1728052.8115560.015639999.9883320.011668
........................
56047.980410.01854530.00691759.97453732.331113967.668887
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56067.990410.01825130.00680859.97494232.329952967.670048
56077.995410.01810530.00675359.97514232.329378967.670622
56088.000410.01796130.00669959.97534032.328809967.671191
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5609 rows × 7 columns

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" ], "text/plain": [ " SYSTEM TIME A B C E_high E_low \\\n", "0 0.0000 100.000000 0.000000 0.000000 1000.000000 0.000000 \n", "1 0.0008 99.280000 0.720000 0.000000 1000.000000 0.000000 \n", "2 0.0016 98.566912 1.428480 0.004608 1000.000000 0.000000 \n", "3 0.0024 97.864345 2.125606 0.010049 999.996314 0.003686 \n", "4 0.0032 97.172805 2.811556 0.015639 999.988332 0.011668 \n", "... ... ... ... ... ... ... \n", "5604 7.9804 10.018545 30.006917 59.974537 32.331113 967.668887 \n", "5605 7.9854 10.018398 30.006862 59.974740 32.330530 967.669470 \n", "5606 7.9904 10.018251 30.006808 59.974942 32.329952 967.670048 \n", "5607 7.9954 10.018105 30.006753 59.975142 32.329378 967.670622 \n", "5608 8.0004 10.017961 30.006699 59.975340 32.328809 967.671191 \n", "\n", " caption \n", "0 Initialized state \n", "1 \n", "2 \n", "3 \n", "4 \n", "... ... \n", "5604 \n", "5605 \n", "5606 \n", "5607 \n", "5608 \n", "\n", "[5609 rows x 7 columns]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history()" ] }, { "cell_type": "markdown", "id": "9b067211-71f9-4441-99fd-a6bee211173c", "metadata": {}, "source": [ "### Notice we created 5,609 data points, in 3 hand-picked segments at different time resolutions" ] }, { "cell_type": "code", "execution_count": 12, "id": "a9135977-3c83-4fc0-a8c1-b10cf03d40d0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0304, in 38 steps of 0.0008\n", "From time 0.0304 to 5, in 4970 steps of 0.001\n", "From time 5 to 8, in 600 steps of 0.005\n", "(5608 steps total)\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "cbf6c9c7-8cec-400f-9e70-49ff1a9f485c", "metadata": { "tags": [] }, "source": [ "## Plots of changes of concentration with time" ] }, { "cell_type": "code", "execution_count": 13, "id": "ad5cd5f8-d113-4bf4-9688-76146d164868", "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E_high
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(chemicals=[\"A\", \"B\", \"C\"])" ] }, { "cell_type": "markdown", "id": "2903b958-bd14-453e-a864-0cb5253ffb83", "metadata": {}, "source": [ "### The plots has 4 distinctive intersections; locate them and save them for later comparisons across repeated runs:" ] }, { "cell_type": "code", "execution_count": 15, "id": "24ad15f6-c92e-4270-8a35-2eddc1a3782d", "metadata": {}, "outputs": [], "source": [ "run1 = []" ] }, { "cell_type": "code", "execution_count": 16, "id": "1f816c0a-beb7-4b86-ac51-0f7e27e9a881", "metadata": {}, "outputs": [], "source": [ "run1.append(dynamics.curve_intersect(\"E_high\", \"E_low\", t_start=1., t_end=2.))" ] }, { "cell_type": "code", "execution_count": 17, "id": "2f8ca98a-8aa3-4a10-8c9a-ff79bd303a5a", "metadata": {}, "outputs": [], "source": [ "run1.append(dynamics.curve_intersect(\"A\", \"B\", t_start=2.31, t_end=2.33))" ] }, { "cell_type": "code", "execution_count": 18, "id": "33a36c4b-29f6-4897-9c0d-d0b7f1c2a76e", "metadata": {}, "outputs": [], "source": [ "run1.append(dynamics.curve_intersect(\"A\", \"C\", t_start=3., t_end=4.))" ] }, { "cell_type": "code", "execution_count": 19, "id": "7fbb59b1-55f9-4d07-9f54-adbbb3a64700", "metadata": {}, "outputs": [], "source": [ "run1.append(dynamics.curve_intersect(\"B\", \"C\", t_start=3., t_end=4.))" ] }, { "cell_type": "code", "execution_count": 20, "id": "7222be3e-b1a9-41bd-a0de-6ffc94b00186", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782463316015305, 499.9999999999999),\n", " (2.324208426199163, 40.36968965779538),\n", " (3.0098252303164066, 31.29187589510951),\n", " (3.2624567026161637, 36.1939052299051)]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run1" ] }, { "cell_type": "markdown", "id": "225e1cd9-8c48-4ed4-8510-268476bae0c0", "metadata": {}, "source": [ "### Verify the final equilibrium state:" ] }, { "cell_type": "code", "execution_count": 21, "id": "f13381bb-d635-4667-b28c-99497370bf27", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: A <-> B\n", "Final concentrations: [A] = 10.02 ; [B] = 30.01\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 2.99529\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 3\n", "Discrepancy between the two values: 0.157 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n", "1: B <-> C\n", "Final concentrations: [B] = 30.01 ; [C] = 59.98\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 1.99873\n", " Formula used: [C] / [B]\n", "2. Ratio of forward/reverse reaction rates: 2\n", "Discrepancy between the two values: 0.06342 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n", "2: C + E_high <-> A + E_low\n", "Final concentrations: [C] = 59.98 ; [E_high] = 32.33 ; [A] = 10.02 ; [E_low] = 967.7\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4.99971\n", " Formula used: ([A][E_low]) / ([C][E_high])\n", "2. Ratio of forward/reverse reaction rates: 5\n", "Discrepancy between the two values: 0.005823 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.is_in_equilibrium()" ] }, { "cell_type": "code", "execution_count": null, "id": "3e8ad6c3-5cb5-4f04-ba20-8b666d99da69", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "3e38c6a7-660d-404d-93bf-1f658cf4ec94", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "7982f6fb-d47d-4e00-b57c-1cac9789ddc4", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "a5caf44d-2cd9-43e7-b64e-4a43fc799fb4", "metadata": { "tags": [] }, "source": [ "# _NOTE: Everything below, to the end, is JUST A REPEAT of the same experiment, with different time steps, for accuracy comparisons_" ] }, { "cell_type": "code", "execution_count": null, "id": "be5392ee-38c9-415d-b7a7-7c8af2e60656", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "541c7835-1351-4914-a6ce-dd6827840da2", "metadata": {}, "source": [ "# Run # 2. VARIABLE time resolution" ] }, { "cell_type": "code", "execution_count": 22, "id": "704926a6-b7cd-462e-aad6-bf8809898ffa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "5 species:\n", " Species 0 (A). Conc: 100.0\n", " Species 1 (B). Conc: 0.0\n", " Species 2 (C). Conc: 0.0\n", " Species 3 (E_high). Conc: 1000.0\n", " Species 4 (E_low). Conc: 0.0\n", "Set of chemicals involved in reactions: {'E_high', 'C', 'B', 'E_low', 'A'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data, preset=\"mid_inclusive\") # Note: OVER-WRITING the \"dynamics\" object # heavy_brakes\n", "dynamics.set_conc(conc=initial_conc, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 23, "id": "9ee22b5f-fc0a-4c66-b0c4-f973868d42aa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameters used for the automated adaptive time step sizes -\n", " THRESHOLDS: [{'norm': 'norm_A', 'low': 0.2, 'high': 0.8, 'abort': 1.44}, {'norm': 'norm_B', 'low': 0.08, 'high': 0.5, 'abort': 1.5}, {'norm': 'norm_C', 'low': 0.5, 'high': 1.2, 'abort': 1.6}, {'norm': 'norm_D', 'low': 1.3, 'high': 1.7, 'abort': 1.8}]\n", " STEP FACTORS: {'upshift': 1.1, 'downshift': 0.5, 'abort': 0.4, 'error': 0.25}\n" ] } ], "source": [ "# These will affect the dynamic automated choices of time steps, \n", "# and were specified by the preset used in instantiating the \"dynamics\" object\n", "dynamics.show_adaptive_parameters() " ] }, { "cell_type": "code", "execution_count": 24, "id": "b31872ae-5571-4602-a552-10767b20c7af", "metadata": {}, "outputs": [], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()" ] }, { "cell_type": "code", "execution_count": 25, "id": "5747b34d-dc77-4c15-8414-d0b7dbd9a223", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1911 total step(s) taken\n", "Number of step re-do's because of negative concentrations: 16\n", "Number of step re-do's because of elective soft aborts: 114\n", "Norm usage: {'norm_A': 1533, 'norm_B': 1536, 'norm_C': 1620, 'norm_D': 1577}\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.0001, target_end_time=8.0,\n", " variable_steps=True, explain_variable_steps=None)" ] }, { "cell_type": "markdown", "id": "76da4d47-c7fc-4aa7-be3e-217457be523f", "metadata": { "tags": [] }, "source": [ "### Notice we created 1,911 data points, a good deal less than in run #1" ] }, { "cell_type": "code", "execution_count": 26, "id": "46e27d73-3541-4be7-8873-09fee3f68a6f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " SYSTEM TIME A B C E_high E_low \\\n", "0 0.000000 100.000000 0.000000 0.000000 1000.000000 0.000000 \n", "1 0.000100 99.910000 0.090000 0.000000 1000.000000 0.000000 \n", "2 0.000210 99.811119 0.188802 0.000079 1000.000000 0.000000 \n", "3 0.000265 99.761748 0.238094 0.000158 999.999996 0.000004 \n", "4 0.000293 99.737081 0.262713 0.000206 999.999991 0.000009 \n", "... ... ... ... ... ... ... \n", "1907 7.920378 10.018699 30.006975 59.974327 32.331717 967.668283 \n", "1908 7.939029 10.018143 30.006767 59.975090 32.329524 967.670476 \n", "1909 7.959545 10.017545 30.006546 59.975909 32.327188 967.672812 \n", "1910 7.982112 10.016934 30.006310 59.976756 32.324679 967.675321 \n", "1911 8.006936 10.016136 30.006062 59.977802 32.322163 967.677837 \n", "\n", " caption \n", "0 Initialized state \n", "1 \n", "2 \n", "3 \n", "4 \n", "... ... \n", "1907 \n", "1908 \n", "1909 \n", "1910 \n", "1911 \n", "\n", "[1912 rows x 7 columns]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 27, "id": "952b0e87-1e35-415b-8cd2-73ddb4953d9f", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E_high
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show the timestepe taken (vertical dashed lines) in a small section of the plot\n", "dynamics.plot_history(chemicals=[\"A\", \"B\", \"C\"], show_intervals=True, xrange=[2.5, 3.5])" ] }, { "cell_type": "code", "execution_count": 30, "id": "6e32ef1a-7926-4d67-98cb-42f8839eec3b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0001, in 1 step of 0.0001\n", "From time 0.0001 to 0.00021, in 1 step of 0.00011\n", "From time 0.00021 to 0.000265, in 1 step of 5.5e-05\n", "From time 0.000265 to 0.0002925, in 1 step of 2.75e-05\n", "From time 0.0002925 to 0.0006087, in 23 steps of 1.37e-05\n", "From time 0.0006087 to 0.0006541, in 3 steps of 1.51e-05\n", "From time 0.0006541 to 0.000704, in 3 steps of 1.66e-05\n", "From time 0.000704 to 0.0007589, in 3 steps of 1.83e-05\n", "From time 0.0007589 to 0.0008193, in 3 steps of 2.01e-05\n", "From time 0.0008193 to 0.0008858, in 3 steps of 2.21e-05\n", "From time 0.0008858 to 0.0009588, in 3 steps of 2.44e-05\n", "From time 0.0009588 to 0.001039, in 3 steps of 2.68e-05\n", "From time 0.001039 to 0.001128, in 3 steps of 2.95e-05\n", "From time 0.001128 to 0.001225, in 3 steps of 3.24e-05\n", "From time 0.001225 to 0.001332, in 3 steps of 3.57e-05\n", "From time 0.001332 to 0.00145, in 3 steps of 3.92e-05\n", "From time 0.00145 to 0.001579, in 3 steps of 4.32e-05\n", "From time 0.001579 to 0.001721, in 3 steps of 4.75e-05\n", "From time 0.001721 to 0.001878, in 3 steps of 5.22e-05\n", "From time 0.001878 to 0.00205, in 3 steps of 5.74e-05\n", "From time 0.00205 to 0.00224, in 3 steps of 6.32e-05\n", "From time 0.00224 to 0.002379, in 2 steps of 6.95e-05\n", "From time 0.002379 to 0.002608, in 3 steps of 7.64e-05\n", "From time 0.002608 to 0.002861, in 3 steps of 8.41e-05\n", "From time 0.002861 to 0.003138, in 3 steps of 9.25e-05\n", "From time 0.003138 to 0.003342, in 2 steps of 0.000102\n", "From time 0.003342 to 0.003677, in 3 steps of 0.000112\n", "From time 0.003677 to 0.004047, in 3 steps of 0.000123\n", "From time 0.004047 to 0.004318, in 2 steps of 0.000135\n", "From time 0.004318 to 0.004765, in 3 steps of 0.000149\n", "From time 0.004765 to 0.005092, in 2 steps of 0.000164\n", "From time 0.005092 to 0.005633, in 3 steps of 0.00018\n", "From time 0.005633 to 0.00603, in 2 steps of 0.000198\n", "From time 0.00603 to 0.006684, in 3 steps of 0.000218\n", "From time 0.006684 to 0.007164, in 2 steps of 0.00024\n", "From time 0.007164 to 0.007956, in 3 steps of 0.000264\n", "From time 0.007956 to 0.008536, in 2 steps of 0.00029\n", "From time 0.008536 to 0.009175, in 2 steps of 0.000319\n", "From time 0.009175 to 0.01023, in 3 steps of 0.000351\n", "From time 0.01023 to 0.011, in 2 steps of 0.000386\n", "From time 0.011 to 0.01185, in 2 steps of 0.000425\n", "From time 0.01185 to 0.01325, in 3 steps of 0.000468\n", "From time 0.01325 to 0.01428, in 2 steps of 0.000514\n", "From time 0.01428 to 0.01541, in 2 steps of 0.000566\n", "From time 0.01541 to 0.01728, in 3 steps of 0.000622\n", "From time 0.01728 to 0.01865, in 2 steps of 0.000685\n", "From time 0.01865 to 0.02016, in 2 steps of 0.000753\n", "From time 0.02016 to 0.02181, in 2 steps of 0.000828\n", "From time 0.02181 to 0.02364, in 2 steps of 0.000911\n", "From time 0.02364 to 0.02664, in 3 steps of 0.001\n", "From time 0.02664 to 0.02885, in 2 steps of 0.0011\n", "From time 0.02885 to 0.03127, in 2 steps of 0.00121\n", "From time 0.03127 to 0.03161, in 1 step of 0.000333\n", "From time 0.03161 to 0.03197, in 1 step of 0.000367\n", "From time 0.03197 to 0.03238, in 1 step of 0.000404\n", "From time 0.03238 to 0.03282, in 1 step of 0.000444\n", "From time 0.03282 to 0.03331, in 1 step of 0.000488\n", "From time 0.03331 to 0.03385, in 1 step of 0.000537\n", "From time 0.03385 to 0.03444, in 1 step of 0.000591\n", "From time 0.03444 to 0.03509, in 1 step of 0.00065\n", "From time 0.03509 to 0.0358, in 1 step of 0.000715\n", "From time 0.0358 to 0.03659, in 1 step of 0.000786\n", "From time 0.03659 to 0.03745, in 1 step of 0.000865\n", "From time 0.03745 to 0.0384, in 1 step of 0.000952\n", "From time 0.0384 to 0.03945, in 1 step of 0.00105\n", "From time 0.03945 to 0.0406, in 1 step of 0.00115\n", "From time 0.0406 to 0.04187, in 1 step of 0.00127\n", "From time 0.04187 to 0.04222, in 1 step of 0.000348\n", "From time 0.04222 to 0.0426, in 1 step of 0.000383\n", "From time 0.0426 to 0.04302, in 1 step of 0.000421\n", "From time 0.04302 to 0.04348, in 1 step of 0.000464\n", "From time 0.04348 to 0.04399, in 1 step of 0.00051\n", "From time 0.04399 to 0.04456, in 1 step of 0.000561\n", "From time 0.04456 to 0.04517, in 1 step of 0.000617\n", "From time 0.04517 to 0.04585, in 1 step of 0.000679\n", "From time 0.04585 to 0.0466, in 1 step of 0.000747\n", "From time 0.0466 to 0.04742, in 1 step of 0.000821\n", "From time 0.04742 to 0.04832, in 1 step of 0.000903\n", "From time 0.04832 to 0.04932, in 1 step of 0.000994\n", "From time 0.04932 to 0.05041, in 1 step of 0.00109\n", "From time 0.05041 to 0.05161, in 1 step of 0.0012\n", "From time 0.05161 to 0.05293, in 1 step of 0.00132\n", "From time 0.05293 to 0.0533, in 1 step of 0.000364\n", "From time 0.0533 to 0.0537, in 1 step of 0.0004\n", "From time 0.0537 to 0.05414, in 1 step of 0.00044\n", "From time 0.05414 to 0.05462, in 1 step of 0.000484\n", "From time 0.05462 to 0.05515, in 1 step of 0.000533\n", "From time 0.05515 to 0.05574, in 1 step of 0.000586\n", "From time 0.05574 to 0.05638, in 1 step of 0.000644\n", "From time 0.05638 to 0.05709, in 1 step of 0.000709\n", "From time 0.05709 to 0.05787, in 1 step of 0.00078\n", "From time 0.05787 to 0.05873, in 1 step of 0.000858\n", "From time 0.05873 to 0.05967, in 1 step of 0.000943\n", "From time 0.05967 to 0.06071, in 1 step of 0.00104\n", "From time 0.06071 to 0.06185, in 1 step of 0.00114\n", "From time 0.06185 to 0.06311, in 1 step of 0.00126\n", "From time 0.06311 to 0.06449, in 1 step of 0.00138\n", "From time 0.06449 to 0.06601, in 1 step of 0.00152\n", "From time 0.06601 to 0.06643, in 1 step of 0.000418\n", "From time 0.06643 to 0.06689, in 1 step of 0.00046\n", "From time 0.06689 to 0.06739, in 1 step of 0.000506\n", "From time 0.06739 to 0.06795, in 1 step of 0.000556\n", "From time 0.06795 to 0.06856, in 1 step of 0.000612\n", "From time 0.06856 to 0.06923, in 1 step of 0.000673\n", "From time 0.06923 to 0.06997, in 1 step of 0.00074\n", "From time 0.06997 to 0.07079, in 1 step of 0.000814\n", "From time 0.07079 to 0.07168, in 1 step of 0.000896\n", "From time 0.07168 to 0.07267, in 1 step of 0.000985\n", "From time 0.07267 to 0.07375, in 1 step of 0.00108\n", "From time 0.07375 to 0.07494, in 1 step of 0.00119\n", "From time 0.07494 to 0.07625, in 1 step of 0.00131\n", "From time 0.07625 to 0.0777, in 1 step of 0.00144\n", "From time 0.0777 to 0.07928, in 1 step of 0.00159\n", "From time 0.07928 to 0.07972, in 1 step of 0.000436\n", "From time 0.07972 to 0.0802, in 1 step of 0.00048\n", "From time 0.0802 to 0.08073, in 1 step of 0.000528\n", "From time 0.08073 to 0.08131, in 1 step of 0.000581\n", "From time 0.08131 to 0.08195, in 1 step of 0.000639\n", "From time 0.08195 to 0.08265, in 1 step of 0.000703\n", "From time 0.08265 to 0.08342, in 1 step of 0.000773\n", "From time 0.08342 to 0.08427, in 1 step of 0.00085\n", "From time 0.08427 to 0.08521, in 1 step of 0.000935\n", "From time 0.08521 to 0.08624, in 1 step of 0.00103\n", "From time 0.08624 to 0.08737, in 1 step of 0.00113\n", "From time 0.08737 to 0.08861, in 1 step of 0.00124\n", "From time 0.08861 to 0.08998, in 1 step of 0.00137\n", "From time 0.08998 to 0.09149, in 1 step of 0.00151\n", "From time 0.09149 to 0.09315, in 1 step of 0.00166\n", "From time 0.09315 to 0.0936, in 1 step of 0.000456\n", "From time 0.0936 to 0.0941, in 1 step of 0.000501\n", "From time 0.0941 to 0.09466, in 1 step of 0.000551\n", "From time 0.09466 to 0.09526, in 1 step of 0.000606\n", "From time 0.09526 to 0.09593, in 1 step of 0.000667\n", "From time 0.09593 to 0.09666, in 1 step of 0.000734\n", "From time 0.09666 to 0.09747, in 1 step of 0.000807\n", "From time 0.09747 to 0.09836, in 1 step of 0.000888\n", "From time 0.09836 to 0.09933, in 1 step of 0.000977\n", "From time 0.09933 to 0.1004, in 1 step of 0.00107\n", "From time 0.1004 to 0.1016, in 1 step of 0.00118\n", "From time 0.1016 to 0.1029, in 1 step of 0.0013\n", "From time 0.1029 to 0.1043, in 1 step of 0.00143\n", "From time 0.1043 to 0.1059, in 1 step of 0.00157\n", "From time 0.1059 to 0.1076, in 1 step of 0.00173\n", "From time 0.1076 to 0.1081, in 1 step of 0.000476\n", "From time 0.1081 to 0.1086, in 1 step of 0.000523\n", "From time 0.1086 to 0.1092, in 1 step of 0.000576\n", "From time 0.1092 to 0.1098, in 1 step of 0.000633\n", "From time 0.1098 to 0.1105, in 1 step of 0.000697\n", "From time 0.1105 to 0.1113, in 1 step of 0.000766\n", "From time 0.1113 to 0.1121, in 1 step of 0.000843\n", "From time 0.1121 to 0.1131, in 1 step of 0.000927\n", "From time 0.1131 to 0.1141, in 1 step of 0.00102\n", "From time 0.1141 to 0.1152, in 1 step of 0.00112\n", "From time 0.1152 to 0.1164, in 1 step of 0.00123\n", "From time 0.1164 to 0.1178, in 1 step of 0.00136\n", "From time 0.1178 to 0.1193, in 1 step of 0.00149\n", "From time 0.1193 to 0.1209, in 1 step of 0.00164\n", "From time 0.1209 to 0.1227, in 1 step of 0.00181\n", "From time 0.1227 to 0.1247, in 1 step of 0.00199\n", "From time 0.1247 to 0.1253, in 1 step of 0.000547\n", "From time 0.1253 to 0.1259, in 1 step of 0.000601\n", "From time 0.1259 to 0.1265, in 1 step of 0.000661\n", "From time 0.1265 to 0.1273, in 1 step of 0.000728\n", "From time 0.1273 to 0.1281, in 1 step of 0.0008\n", "From time 0.1281 to 0.1289, in 1 step of 0.00088\n", "From time 0.1289 to 0.1299, in 1 step of 0.000968\n", "From time 0.1299 to 0.131, in 1 step of 0.00107\n", "From time 0.131 to 0.1322, in 1 step of 0.00117\n", "From time 0.1322 to 0.1334, in 1 step of 0.00129\n", "From time 0.1334 to 0.1349, in 1 step of 0.00142\n", "From time 0.1349 to 0.1364, in 1 step of 0.00156\n", "From time 0.1364 to 0.1381, in 1 step of 0.00172\n", "From time 0.1381 to 0.14, in 1 step of 0.00189\n", "From time 0.14 to 0.1421, in 1 step of 0.00208\n", "From time 0.1421 to 0.1427, in 1 step of 0.000571\n", "From time 0.1427 to 0.1433, in 1 step of 0.000628\n", "From time 0.1433 to 0.144, in 1 step of 0.000691\n", "From time 0.144 to 0.1447, in 1 step of 0.00076\n", "From time 0.1447 to 0.1456, in 1 step of 0.000836\n", "From time 0.1456 to 0.1465, in 1 step of 0.000919\n", "From time 0.1465 to 0.1475, in 1 step of 0.00101\n", "From time 0.1475 to 0.1486, in 1 step of 0.00111\n", "From time 0.1486 to 0.1499, in 1 step of 0.00122\n", "From time 0.1499 to 0.1512, in 1 step of 0.00135\n", "From time 0.1512 to 0.1527, in 1 step of 0.00148\n", "From time 0.1527 to 0.1543, in 1 step of 0.00163\n", "From time 0.1543 to 0.1561, in 1 step of 0.00179\n", "From time 0.1561 to 0.1581, in 1 step of 0.00197\n", "From time 0.1581 to 0.1602, in 1 step of 0.00217\n", "From time 0.1602 to 0.1626, in 1 step of 0.00238\n", "From time 0.1626 to 0.1633, in 1 step of 0.000656\n", "From time 0.1633 to 0.164, in 1 step of 0.000721\n", "From time 0.164 to 0.1648, in 1 step of 0.000793\n", "From time 0.1648 to 0.1657, in 1 step of 0.000873\n", "From time 0.1657 to 0.1666, in 1 step of 0.00096\n", "From time 0.1666 to 0.1677, in 1 step of 0.00106\n", "From time 0.1677 to 0.1688, in 1 step of 0.00116\n", "From time 0.1688 to 0.1701, in 1 step of 0.00128\n", "From time 0.1701 to 0.1715, in 1 step of 0.00141\n", "From time 0.1715 to 0.1731, in 1 step of 0.00155\n", "From time 0.1731 to 0.1748, in 1 step of 0.0017\n", "From time 0.1748 to 0.1766, in 1 step of 0.00187\n", "From time 0.1766 to 0.1787, in 1 step of 0.00206\n", "From time 0.1787 to 0.181, in 1 step of 0.00226\n", "From time 0.181 to 0.1835, in 1 step of 0.00249\n", "From time 0.1835 to 0.1841, in 1 step of 0.000685\n", "From time 0.1841 to 0.1849, in 1 step of 0.000753\n", "From time 0.1849 to 0.1857, in 1 step of 0.000829\n", "From time 0.1857 to 0.1866, in 1 step of 0.000911\n", "From time 0.1866 to 0.1876, in 1 step of 0.001\n", "From time 0.1876 to 0.1887, in 1 step of 0.0011\n", "From time 0.1887 to 0.19, in 1 step of 0.00121\n", "From time 0.19 to 0.1913, in 1 step of 0.00133\n", "From time 0.1913 to 0.1928, in 1 step of 0.00147\n", "From time 0.1928 to 0.1944, in 1 step of 0.00161\n", "From time 0.1944 to 0.1961, in 1 step of 0.00178\n", "From time 0.1961 to 0.1981, in 1 step of 0.00195\n", "From time 0.1981 to 0.2002, in 1 step of 0.00215\n", "From time 0.2002 to 0.2026, in 1 step of 0.00236\n", "From time 0.2026 to 0.2052, in 1 step of 0.0026\n", "From time 0.2052 to 0.2081, in 1 step of 0.00286\n", "From time 0.2081 to 0.2089, in 1 step of 0.000787\n", "From time 0.2089 to 0.2097, in 1 step of 0.000865\n", "From time 0.2097 to 0.2107, in 1 step of 0.000952\n", "From time 0.2107 to 0.2117, in 1 step of 0.00105\n", "From time 0.2117 to 0.2129, in 1 step of 0.00115\n", "From time 0.2129 to 0.2141, in 1 step of 0.00127\n", "From time 0.2141 to 0.2155, in 1 step of 0.00139\n", "From time 0.2155 to 0.2171, in 1 step of 0.00153\n", "From time 0.2171 to 0.2188, in 1 step of 0.00169\n", "From time 0.2188 to 0.2206, in 1 step of 0.00185\n", "From time 0.2206 to 0.2227, in 1 step of 0.00204\n", "From time 0.2227 to 0.2249, in 1 step of 0.00224\n", "From time 0.2249 to 0.2274, in 1 step of 0.00247\n", "From time 0.2274 to 0.2301, in 1 step of 0.00272\n", "From time 0.2301 to 0.2331, in 1 step of 0.00299\n", "From time 0.2331 to 0.2339, in 1 step of 0.000822\n", "From time 0.2339 to 0.2348, in 1 step of 0.000904\n", "From time 0.2348 to 0.2358, in 1 step of 0.000994\n", "From time 0.2358 to 0.2369, in 1 step of 0.00109\n", "From time 0.2369 to 0.2381, in 1 step of 0.0012\n", "From time 0.2381 to 0.2394, in 1 step of 0.00132\n", "From time 0.2394 to 0.2409, in 1 step of 0.00146\n", "From time 0.2409 to 0.2425, in 1 step of 0.0016\n", "From time 0.2425 to 0.2442, in 1 step of 0.00176\n", "From time 0.2442 to 0.2462, in 1 step of 0.00194\n", "From time 0.2462 to 0.2483, in 1 step of 0.00213\n", "From time 0.2483 to 0.2506, in 1 step of 0.00234\n", "From time 0.2506 to 0.2532, in 1 step of 0.00258\n", "From time 0.2532 to 0.2561, in 1 step of 0.00284\n", "From time 0.2561 to 0.2592, in 1 step of 0.00312\n", "From time 0.2592 to 0.2626, in 1 step of 0.00343\n", "From time 0.2626 to 0.2635, in 1 step of 0.000944\n", "From time 0.2635 to 0.2646, in 1 step of 0.00104\n", "From time 0.2646 to 0.2657, in 1 step of 0.00114\n", "From time 0.2657 to 0.267, in 1 step of 0.00126\n", "From time 0.267 to 0.2684, in 1 step of 0.00138\n", "From time 0.2684 to 0.2699, in 1 step of 0.00152\n", "From time 0.2699 to 0.2716, in 1 step of 0.00167\n", "From time 0.2716 to 0.2734, in 1 step of 0.00184\n", "From time 0.2734 to 0.2754, in 1 step of 0.00202\n", "From time 0.2754 to 0.2776, in 1 step of 0.00223\n", "From time 0.2776 to 0.2801, in 1 step of 0.00245\n", "From time 0.2801 to 0.2828, in 1 step of 0.00269\n", "From time 0.2828 to 0.2857, in 1 step of 0.00296\n", "From time 0.2857 to 0.289, in 1 step of 0.00326\n", "From time 0.289 to 0.2926, in 1 step of 0.00358\n", "From time 0.2926 to 0.2965, in 1 step of 0.00394\n", "From time 0.2965 to 0.2976, in 1 step of 0.00108\n", "From time 0.2976 to 0.2988, in 1 step of 0.00119\n", "From time 0.2988 to 0.3001, in 1 step of 0.00131\n", "From time 0.3001 to 0.3016, in 1 step of 0.00144\n", "From time 0.3016 to 0.3031, in 1 step of 0.00159\n", "From time 0.3031 to 0.3049, in 1 step of 0.00175\n", "From time 0.3049 to 0.3068, in 1 step of 0.00192\n", "From time 0.3068 to 0.3089, in 1 step of 0.00211\n", "From time 0.3089 to 0.3113, in 1 step of 0.00232\n", "From time 0.3113 to 0.3138, in 1 step of 0.00256\n", "From time 0.3138 to 0.3166, in 1 step of 0.00281\n", "From time 0.3166 to 0.3197, in 1 step of 0.00309\n", "From time 0.3197 to 0.3231, in 1 step of 0.0034\n", "From time 0.3231 to 0.3269, in 1 step of 0.00374\n", "From time 0.3269 to 0.331, in 1 step of 0.00412\n", "From time 0.331 to 0.3321, in 1 step of 0.00113\n", "From time 0.3321 to 0.3334, in 1 step of 0.00125\n", "From time 0.3334 to 0.3347, in 1 step of 0.00137\n", "From time 0.3347 to 0.3362, in 1 step of 0.00151\n", "From time 0.3362 to 0.3379, in 1 step of 0.00166\n", "From time 0.3379 to 0.3397, in 1 step of 0.00182\n", "From time 0.3397 to 0.3417, in 1 step of 0.00201\n", "From time 0.3417 to 0.3439, in 1 step of 0.00221\n", "From time 0.3439 to 0.3463, in 1 step of 0.00243\n", "From time 0.3463 to 0.349, in 1 step of 0.00267\n", "From time 0.349 to 0.352, in 1 step of 0.00294\n", "From time 0.352 to 0.3552, in 1 step of 0.00323\n", "From time 0.3552 to 0.3587, in 1 step of 0.00355\n", "From time 0.3587 to 0.3626, in 1 step of 0.00391\n", "From time 0.3626 to 0.3669, in 1 step of 0.0043\n", "From time 0.3669 to 0.4095, in 9 steps of 0.00473\n", "From time 0.4095 to 0.4101, in 2 steps of 0.000303\n", "From time 0.4101 to 0.4104, in 1 step of 0.000333\n", "From time 0.4104 to 0.4108, in 1 step of 0.000366\n", "From time 0.4108 to 0.4112, in 1 step of 0.000403\n", "From time 0.4112 to 0.4117, in 1 step of 0.000443\n", "From time 0.4117 to 0.4121, in 1 step of 0.000487\n", "From time 0.4121 to 0.4127, in 1 step of 0.000536\n", "From time 0.4127 to 0.4133, in 1 step of 0.00059\n", "From time 0.4133 to 0.4139, in 1 step of 0.000649\n", "From time 0.4139 to 0.4146, in 1 step of 0.000714\n", "From time 0.4146 to 0.4154, in 1 step of 0.000785\n", "From time 0.4154 to 0.4163, in 1 step of 0.000864\n", "From time 0.4163 to 0.4172, in 1 step of 0.00095\n", "From time 0.4172 to 0.4183, in 1 step of 0.00104\n", "From time 0.4183 to 0.4194, in 1 step of 0.00115\n", "From time 0.4194 to 0.4207, in 1 step of 0.00126\n", "From time 0.4207 to 0.4221, in 1 step of 0.00139\n", "From time 0.4221 to 0.4236, in 1 step of 0.00153\n", "From time 0.4236 to 0.4253, in 1 step of 0.00168\n", "From time 0.4253 to 0.4271, in 1 step of 0.00185\n", "From time 0.4271 to 0.4292, in 1 step of 0.00204\n", "From time 0.4292 to 0.4314, in 1 step of 0.00224\n", "From time 0.4314 to 0.4339, in 1 step of 0.00246\n", "From time 0.4339 to 0.4366, in 1 step of 0.00271\n", "From time 0.4366 to 0.4396, in 1 step of 0.00298\n", "From time 0.4396 to 0.4429, in 1 step of 0.00328\n", "From time 0.4429 to 0.4465, in 1 step of 0.00361\n", "From time 0.4465 to 0.4504, in 1 step of 0.00397\n", "From time 0.4504 to 0.4548, in 1 step of 0.00436\n", "From time 0.4548 to 0.498, in 9 steps of 0.0048\n", "From time 0.498 to 0.5019, in 2 steps of 0.00192\n", "From time 0.5019 to 0.502, in 1 step of 0.000135\n", "From time 0.502 to 0.5021, in 1 step of 0.000149\n", "From time 0.5021 to 0.5023, in 1 step of 0.000164\n", "From time 0.5023 to 0.5025, in 1 step of 0.00018\n", "From time 0.5025 to 0.5027, in 1 step of 0.000198\n", "From time 0.5027 to 0.5029, in 1 step of 0.000218\n", "From time 0.5029 to 0.5031, in 1 step of 0.00024\n", "From time 0.5031 to 0.5034, in 1 step of 0.000263\n", "From time 0.5034 to 0.5037, in 1 step of 0.00029\n", "From time 0.5037 to 0.504, in 1 step of 0.000319\n", "From time 0.504 to 0.5044, in 1 step of 0.000351\n", "From time 0.5044 to 0.5047, in 1 step of 0.000386\n", "From time 0.5047 to 0.5052, in 1 step of 0.000424\n", "From time 0.5052 to 0.5056, in 1 step of 0.000467\n", "From time 0.5056 to 0.5061, in 1 step of 0.000513\n", "From time 0.5061 to 0.5067, in 1 step of 0.000565\n", "From time 0.5067 to 0.5073, in 1 step of 0.000621\n", "From time 0.5073 to 0.508, in 1 step of 0.000683\n", "From time 0.508 to 0.5088, in 1 step of 0.000752\n", "From time 0.5088 to 0.5096, in 1 step of 0.000827\n", "From time 0.5096 to 0.5105, in 1 step of 0.00091\n", "From time 0.5105 to 0.5115, in 1 step of 0.001\n", "From time 0.5115 to 0.5126, in 1 step of 0.0011\n", "From time 0.5126 to 0.5138, in 1 step of 0.00121\n", "From time 0.5138 to 0.5151, in 1 step of 0.00133\n", "From time 0.5151 to 0.5166, in 1 step of 0.00146\n", "From time 0.5166 to 0.5182, in 1 step of 0.00161\n", "From time 0.5182 to 0.52, in 1 step of 0.00177\n", "From time 0.52 to 0.5219, in 1 step of 0.00195\n", "From time 0.5219 to 0.5241, in 1 step of 0.00214\n", "From time 0.5241 to 0.5265, in 1 step of 0.00236\n", "From time 0.5265 to 0.529, in 1 step of 0.0026\n", "From time 0.529 to 0.5319, in 1 step of 0.00285\n", "From time 0.5319 to 0.535, in 1 step of 0.00314\n", "From time 0.535 to 0.5385, in 1 step of 0.00345\n", "From time 0.5385 to 0.5423, in 1 step of 0.0038\n", "From time 0.5423 to 0.5465, in 1 step of 0.00418\n", "From time 0.5465 to 0.5511, in 1 step of 0.0046\n", "From time 0.5511 to 0.5966, in 9 steps of 0.00506\n", "From time 0.5966 to 0.5982, in 2 steps of 0.000809\n", "From time 0.5982 to 0.5991, in 1 step of 0.00089\n", "From time 0.5991 to 0.6001, in 1 step of 0.000979\n", "From time 0.6001 to 0.6012, in 1 step of 0.00108\n", "From time 0.6012 to 0.6023, in 1 step of 0.00118\n", "From time 0.6023 to 0.6036, in 1 step of 0.0013\n", "From time 0.6036 to 0.6051, in 1 step of 0.00143\n", "From time 0.6051 to 0.6066, in 1 step of 0.00158\n", "From time 0.6066 to 0.6084, in 1 step of 0.00173\n", "From time 0.6084 to 0.6103, in 1 step of 0.00191\n", "From time 0.6103 to 0.6124, in 1 step of 0.0021\n", "From time 0.6124 to 0.6147, in 1 step of 0.00231\n", "From time 0.6147 to 0.6172, in 1 step of 0.00254\n", "From time 0.6172 to 0.62, in 1 step of 0.00279\n", "From time 0.62 to 0.6231, in 1 step of 0.00307\n", "From time 0.6231 to 0.6265, in 1 step of 0.00338\n", "From time 0.6265 to 0.6302, in 1 step of 0.00372\n", "From time 0.6302 to 0.6343, in 1 step of 0.00409\n", "From time 0.6343 to 0.6388, in 1 step of 0.0045\n", "From time 0.6388 to 0.6833, in 9 steps of 0.00495\n", "From time 0.6833 to 0.6853, in 1 step of 0.00198\n", "From time 0.6853 to 0.6875, in 1 step of 0.00218\n", "From time 0.6875 to 0.6876, in 1 step of 0.000153\n", "From time 0.6876 to 0.6878, in 1 step of 0.000169\n", "From time 0.6878 to 0.688, in 1 step of 0.000185\n", "From time 0.688 to 0.6882, in 1 step of 0.000204\n", "From time 0.6882 to 0.6884, in 1 step of 0.000224\n", "From time 0.6884 to 0.6887, in 1 step of 0.000247\n", "From time 0.6887 to 0.6889, in 1 step of 0.000272\n", "From time 0.6889 to 0.6892, in 1 step of 0.000299\n", "From time 0.6892 to 0.6896, in 1 step of 0.000329\n", "From time 0.6896 to 0.6899, in 1 step of 0.000361\n", "From time 0.6899 to 0.6903, in 1 step of 0.000398\n", "From time 0.6903 to 0.6908, in 1 step of 0.000437\n", "From time 0.6908 to 0.6912, in 1 step of 0.000481\n", "From time 0.6912 to 0.6918, in 1 step of 0.000529\n", "From time 0.6918 to 0.6924, in 1 step of 0.000582\n", "From time 0.6924 to 0.693, in 1 step of 0.00064\n", "From time 0.693 to 0.6937, in 1 step of 0.000704\n", "From time 0.6937 to 0.6945, in 1 step of 0.000775\n", "From time 0.6945 to 0.6953, in 1 step of 0.000852\n", "From time 0.6953 to 0.6963, in 1 step of 0.000938\n", "From time 0.6963 to 0.6973, in 1 step of 0.00103\n", "From time 0.6973 to 0.6984, in 1 step of 0.00113\n", "From time 0.6984 to 0.6997, in 1 step of 0.00125\n", "From time 0.6997 to 0.7011, in 1 step of 0.00137\n", "From time 0.7011 to 0.7026, in 1 step of 0.00151\n", "From time 0.7026 to 0.7042, in 1 step of 0.00166\n", "From time 0.7042 to 0.7061, in 1 step of 0.00183\n", "From time 0.7061 to 0.7081, in 1 step of 0.00201\n", "From time 0.7081 to 0.7103, in 1 step of 0.00221\n", "From time 0.7103 to 0.7127, in 1 step of 0.00243\n", "From time 0.7127 to 0.7154, in 1 step of 0.00267\n", "From time 0.7154 to 0.7183, in 1 step of 0.00294\n", "From time 0.7183 to 0.7216, in 1 step of 0.00324\n", "From time 0.7216 to 0.7251, in 1 step of 0.00356\n", "From time 0.7251 to 0.729, in 1 step of 0.00392\n", "From time 0.729 to 0.7333, in 1 step of 0.00431\n", "From time 0.7333 to 0.7381, in 1 step of 0.00474\n", "From time 0.7381 to 0.785, in 9 steps of 0.00521\n", "From time 0.785 to 0.7871, in 1 step of 0.00209\n", "From time 0.7871 to 0.7881, in 1 step of 0.00104\n", "From time 0.7881 to 0.7886, in 1 step of 0.000459\n", "From time 0.7886 to 0.7888, in 1 step of 0.000229\n", "From time 0.7888 to 0.7891, in 1 step of 0.000252\n", "From time 0.7891 to 0.7893, in 1 step of 0.000278\n", "From time 0.7893 to 0.7896, in 1 step of 0.000305\n", "From time 0.7896 to 0.79, in 1 step of 0.000336\n", "From time 0.79 to 0.7903, in 1 step of 0.000369\n", "From time 0.7903 to 0.7908, in 1 step of 0.000406\n", "From time 0.7908 to 0.7912, in 1 step of 0.000447\n", "From time 0.7912 to 0.7917, in 1 step of 0.000492\n", "From time 0.7917 to 0.7922, in 1 step of 0.000541\n", "From time 0.7922 to 0.7928, in 1 step of 0.000595\n", "From time 0.7928 to 0.7935, in 1 step of 0.000654\n", "From time 0.7935 to 0.7942, in 1 step of 0.00072\n", "From time 0.7942 to 0.795, in 1 step of 0.000792\n", "From time 0.795 to 0.7959, in 1 step of 0.000871\n", "From time 0.7959 to 0.7968, in 1 step of 0.000958\n", "From time 0.7968 to 0.7979, in 1 step of 0.00105\n", "From time 0.7979 to 0.799, in 1 step of 0.00116\n", "From time 0.799 to 0.8003, in 1 step of 0.00128\n", "From time 0.8003 to 0.8017, in 1 step of 0.0014\n", "From time 0.8017 to 0.8033, in 1 step of 0.00154\n", "From time 0.8033 to 0.805, in 1 step of 0.0017\n", "From time 0.805 to 0.8068, in 1 step of 0.00187\n", "From time 0.8068 to 0.8089, in 1 step of 0.00205\n", "From time 0.8089 to 0.8111, in 1 step of 0.00226\n", "From time 0.8111 to 0.8136, in 1 step of 0.00248\n", "From time 0.8136 to 0.8164, in 1 step of 0.00273\n", "From time 0.8164 to 0.8194, in 1 step of 0.00301\n", "From time 0.8194 to 0.8227, in 1 step of 0.00331\n", "From time 0.8227 to 0.8263, in 1 step of 0.00364\n", "From time 0.8263 to 0.8303, in 1 step of 0.004\n", "From time 0.8303 to 0.8347, in 1 step of 0.0044\n", "From time 0.8347 to 0.888, in 11 steps of 0.00484\n", "From time 0.888 to 0.8888, in 1 step of 0.000775\n", "From time 0.8888 to 0.8891, in 1 step of 0.000387\n", "From time 0.8891 to 0.8896, in 1 step of 0.000426\n", "From time 0.8896 to 0.89, in 1 step of 0.000469\n", "From time 0.89 to 0.8906, in 1 step of 0.000516\n", "From time 0.8906 to 0.8911, in 1 step of 0.000567\n", "From time 0.8911 to 0.8917, in 1 step of 0.000624\n", "From time 0.8917 to 0.8924, in 1 step of 0.000686\n", "From time 0.8924 to 0.8932, in 1 step of 0.000755\n", "From time 0.8932 to 0.894, in 1 step of 0.00083\n", "From time 0.894 to 0.8949, in 1 step of 0.000913\n", "From time 0.8949 to 0.8959, in 1 step of 0.001\n", "From time 0.8959 to 0.897, in 1 step of 0.00111\n", "From time 0.897 to 0.8983, in 1 step of 0.00122\n", "From time 0.8983 to 0.8996, in 1 step of 0.00134\n", "From time 0.8996 to 0.9011, in 1 step of 0.00147\n", "From time 0.9011 to 0.9027, in 1 step of 0.00162\n", "From time 0.9027 to 0.9045, in 1 step of 0.00178\n", "From time 0.9045 to 0.9064, in 1 step of 0.00196\n", "From time 0.9064 to 0.9086, in 1 step of 0.00215\n", "From time 0.9086 to 0.9109, in 1 step of 0.00237\n", "From time 0.9109 to 0.9135, in 1 step of 0.00261\n", "From time 0.9135 to 0.9164, in 1 step of 0.00287\n", "From time 0.9164 to 0.9196, in 1 step of 0.00315\n", "From time 0.9196 to 0.923, in 1 step of 0.00347\n", "From time 0.923 to 0.9269, in 1 step of 0.00382\n", "From time 0.9269 to 0.931, in 1 step of 0.0042\n", "From time 0.931 to 0.9357, in 1 step of 0.00462\n", "From time 0.9357 to 0.9915, in 11 steps of 0.00508\n", "From time 0.9915 to 0.9932, in 2 steps of 0.000813\n", "From time 0.9932 to 0.9941, in 1 step of 0.000894\n", "From time 0.9941 to 0.995, in 1 step of 0.000983\n", "From time 0.995 to 0.9961, in 1 step of 0.00108\n", "From time 0.9961 to 0.9973, in 1 step of 0.00119\n", "From time 0.9973 to 0.9986, in 1 step of 0.00131\n", "From time 0.9986 to 1, in 1 step of 0.00144\n", "From time 1 to 1.002, in 1 step of 0.00158\n", "From time 1.002 to 1.003, in 1 step of 0.00174\n", "From time 1.003 to 1.005, in 1 step of 0.00192\n", "From time 1.005 to 1.007, in 1 step of 0.00211\n", "From time 1.007 to 1.01, in 1 step of 0.00232\n", "From time 1.01 to 1.012, in 1 step of 0.00255\n", "From time 1.012 to 1.015, in 1 step of 0.00281\n", "From time 1.015 to 1.018, in 1 step of 0.00309\n", "From time 1.018 to 1.022, in 1 step of 0.00339\n", "From time 1.022 to 1.025, in 1 step of 0.00373\n", "From time 1.025 to 1.029, in 1 step of 0.00411\n", "From time 1.029 to 1.034, in 1 step of 0.00452\n", "From time 1.034 to 1.084, in 10 steps of 0.00497\n", "From time 1.084 to 1.089, in 1 step of 0.00547\n", "From time 1.089 to 1.089, in 1 step of 1.16e-05\n", "From time 1.089 to 1.089, in 1 step of 1.28e-05\n", "From time 1.089 to 1.089, in 1 step of 1.41e-05\n", "From time 1.089 to 1.089, in 1 step of 1.55e-05\n", "From time 1.089 to 1.089, in 1 step of 1.7e-05\n", "From time 1.089 to 1.089, in 1 step of 1.87e-05\n", "From time 1.089 to 1.089, in 1 step of 2.06e-05\n", "From time 1.089 to 1.089, in 1 step of 2.26e-05\n", "From time 1.089 to 1.089, in 1 step of 2.49e-05\n", "From time 1.089 to 1.089, in 1 step of 2.74e-05\n", "From time 1.089 to 1.089, in 1 step of 3.01e-05\n", "From time 1.089 to 1.089, in 1 step of 3.31e-05\n", "From time 1.089 to 1.089, in 1 step of 3.65e-05\n", "From time 1.089 to 1.089, in 1 step of 4.01e-05\n", "From time 1.089 to 1.09, in 1 step of 4.41e-05\n", "From time 1.09 to 1.09, in 1 step of 4.85e-05\n", "From time 1.09 to 1.09, in 1 step of 5.34e-05\n", "From time 1.09 to 1.09, in 1 step of 5.87e-05\n", "From time 1.09 to 1.09, in 1 step of 6.46e-05\n", "From time 1.09 to 1.09, in 1 step of 7.1e-05\n", "From time 1.09 to 1.09, in 1 step of 7.81e-05\n", "From time 1.09 to 1.09, in 1 step of 8.6e-05\n", "From time 1.09 to 1.09, in 1 step of 9.46e-05\n", "From time 1.09 to 1.09, in 1 step of 0.000104\n", "From time 1.09 to 1.09, in 1 step of 0.000114\n", "From time 1.09 to 1.09, in 1 step of 0.000126\n", "From time 1.09 to 1.091, in 1 step of 0.000138\n", "From time 1.091 to 1.091, in 1 step of 0.000152\n", "From time 1.091 to 1.091, in 1 step of 0.000168\n", "From time 1.091 to 1.091, in 1 step of 0.000184\n", "From time 1.091 to 1.091, in 1 step of 0.000203\n", "From time 1.091 to 1.092, in 1 step of 0.000223\n", "From time 1.092 to 1.092, in 1 step of 0.000245\n", "From time 1.092 to 1.092, in 1 step of 0.00027\n", "From time 1.092 to 1.092, in 1 step of 0.000297\n", "From time 1.092 to 1.093, in 1 step of 0.000326\n", "From time 1.093 to 1.093, in 1 step of 0.000359\n", "From time 1.093 to 1.093, in 1 step of 0.000395\n", "From time 1.093 to 1.094, in 1 step of 0.000434\n", "From time 1.094 to 1.094, in 1 step of 0.000478\n", "From time 1.094 to 1.095, in 1 step of 0.000526\n", "From time 1.095 to 1.095, in 1 step of 0.000578\n", "From time 1.095 to 1.096, in 1 step of 0.000636\n", "From time 1.096 to 1.097, in 1 step of 0.0007\n", "From time 1.097 to 1.098, in 1 step of 0.00077\n", "From time 1.098 to 1.098, in 1 step of 0.000847\n", "From time 1.098 to 1.099, in 1 step of 0.000931\n", "From time 1.099 to 1.1, in 1 step of 0.00102\n", "From time 1.1 to 1.101, in 1 step of 0.00113\n", "From time 1.101 to 1.103, in 1 step of 0.00124\n", "From time 1.103 to 1.104, in 1 step of 0.00136\n", "From time 1.104 to 1.106, in 1 step of 0.0015\n", "From time 1.106 to 1.107, in 1 step of 0.00165\n", "From time 1.107 to 1.109, in 1 step of 0.00181\n", "From time 1.109 to 1.111, in 1 step of 0.002\n", "From time 1.111 to 1.113, in 1 step of 0.0022\n", "From time 1.113 to 1.116, in 1 step of 0.00242\n", "From time 1.116 to 1.118, in 1 step of 0.00266\n", "From time 1.118 to 1.121, in 1 step of 0.00292\n", "From time 1.121 to 1.124, in 1 step of 0.00322\n", "From time 1.124 to 1.128, in 1 step of 0.00354\n", "From time 1.128 to 1.132, in 1 step of 0.00389\n", "From time 1.132 to 1.136, in 1 step of 0.00428\n", "From time 1.136 to 1.141, in 1 step of 0.00471\n", "From time 1.141 to 1.198, in 11 steps of 0.00518\n", "From time 1.198 to 1.198, in 1 step of 0.000133\n", "From time 1.198 to 1.198, in 1 step of 0.000146\n", "From time 1.198 to 1.198, in 1 step of 0.00016\n", "From time 1.198 to 1.198, in 1 step of 0.000176\n", "From time 1.198 to 1.199, in 1 step of 0.000194\n", "From time 1.199 to 1.199, in 1 step of 0.000213\n", "From time 1.199 to 1.199, in 1 step of 0.000235\n", "From time 1.199 to 1.199, in 1 step of 0.000258\n", "From time 1.199 to 1.2, in 1 step of 0.000284\n", "From time 1.2 to 1.2, in 1 step of 0.000313\n", "From time 1.2 to 1.2, in 1 step of 0.000344\n", "From time 1.2 to 1.201, in 1 step of 0.000378\n", "From time 1.201 to 1.201, in 1 step of 0.000416\n", "From time 1.201 to 1.201, in 1 step of 0.000458\n", "From time 1.201 to 1.202, in 1 step of 0.000503\n", "From time 1.202 to 1.203, in 1 step of 0.000554\n", "From time 1.203 to 1.203, in 1 step of 0.000609\n", "From time 1.203 to 1.204, in 1 step of 0.00067\n", "From time 1.204 to 1.205, in 1 step of 0.000737\n", "From time 1.205 to 1.205, in 1 step of 0.000811\n", "From time 1.205 to 1.206, in 1 step of 0.000892\n", "From time 1.206 to 1.207, in 1 step of 0.000981\n", "From time 1.207 to 1.208, in 1 step of 0.00108\n", "From time 1.208 to 1.21, in 1 step of 0.00119\n", "From time 1.21 to 1.211, in 1 step of 0.00131\n", "From time 1.211 to 1.212, in 1 step of 0.00144\n", "From time 1.212 to 1.214, in 1 step of 0.00158\n", "From time 1.214 to 1.216, in 1 step of 0.00174\n", "From time 1.216 to 1.217, in 1 step of 0.00191\n", "From time 1.217 to 1.22, in 1 step of 0.0021\n", "From time 1.22 to 1.222, in 1 step of 0.00231\n", "From time 1.222 to 1.224, in 1 step of 0.00254\n", "From time 1.224 to 1.227, in 1 step of 0.0028\n", "From time 1.227 to 1.23, in 1 step of 0.00308\n", "From time 1.23 to 1.234, in 1 step of 0.00339\n", "From time 1.234 to 1.237, in 1 step of 0.00373\n", "From time 1.237 to 1.242, in 1 step of 0.0041\n", "From time 1.242 to 1.246, in 1 step of 0.00451\n", "From time 1.246 to 1.251, in 1 step of 0.00496\n", "From time 1.251 to 1.311, in 11 steps of 0.00545\n", "From time 1.311 to 1.311, in 1 step of 0.000349\n", "From time 1.311 to 1.312, in 1 step of 0.000384\n", "From time 1.312 to 1.312, in 1 step of 0.000422\n", "From time 1.312 to 1.313, in 1 step of 0.000465\n", "From time 1.313 to 1.313, in 1 step of 0.000511\n", "From time 1.313 to 1.314, in 1 step of 0.000562\n", "From time 1.314 to 1.314, in 1 step of 0.000618\n", "From time 1.314 to 1.315, in 1 step of 0.00068\n", "From time 1.315 to 1.316, in 1 step of 0.000748\n", "From time 1.316 to 1.317, in 1 step of 0.000823\n", "From time 1.317 to 1.317, in 1 step of 0.000905\n", "From time 1.317 to 1.318, in 1 step of 0.000996\n", "From time 1.318 to 1.32, in 1 step of 0.0011\n", "From time 1.32 to 1.321, in 1 step of 0.00121\n", "From time 1.321 to 1.322, in 1 step of 0.00133\n", "From time 1.322 to 1.324, in 1 step of 0.00146\n", "From time 1.324 to 1.325, in 1 step of 0.0016\n", "From time 1.325 to 1.327, in 1 step of 0.00176\n", "From time 1.327 to 1.329, in 1 step of 0.00194\n", "From time 1.329 to 1.331, in 1 step of 0.00213\n", "From time 1.331 to 1.333, in 1 step of 0.00235\n", "From time 1.333 to 1.336, in 1 step of 0.00258\n", "From time 1.336 to 1.339, in 1 step of 0.00284\n", "From time 1.339 to 1.342, in 1 step of 0.00313\n", "From time 1.342 to 1.345, in 1 step of 0.00344\n", "From time 1.345 to 1.349, in 1 step of 0.00378\n", "From time 1.349 to 1.353, in 1 step of 0.00416\n", "From time 1.353 to 1.358, in 1 step of 0.00458\n", "From time 1.358 to 1.363, in 1 step of 0.00503\n", "From time 1.363 to 1.424, in 11 steps of 0.00554\n", "From time 1.424 to 1.424, in 2 steps of 0.000142\n", "From time 1.424 to 1.424, in 1 step of 0.000156\n", "From time 1.424 to 1.424, in 1 step of 0.000172\n", "From time 1.424 to 1.425, in 1 step of 0.000189\n", "From time 1.425 to 1.425, in 1 step of 0.000208\n", "From time 1.425 to 1.425, in 1 step of 0.000228\n", "From time 1.425 to 1.425, in 1 step of 0.000251\n", "From time 1.425 to 1.426, in 1 step of 0.000276\n", "From time 1.426 to 1.426, in 1 step of 0.000304\n", "From time 1.426 to 1.426, in 1 step of 0.000334\n", "From time 1.426 to 1.427, in 1 step of 0.000368\n", "From time 1.427 to 1.427, in 1 step of 0.000404\n", "From time 1.427 to 1.427, in 1 step of 0.000445\n", "From time 1.427 to 1.428, in 1 step of 0.000489\n", "From time 1.428 to 1.428, in 1 step of 0.000538\n", "From time 1.428 to 1.429, in 1 step of 0.000592\n", "From time 1.429 to 1.43, in 1 step of 0.000651\n", "From time 1.43 to 1.43, in 1 step of 0.000717\n", "From time 1.43 to 1.431, in 1 step of 0.000788\n", "From time 1.431 to 1.432, in 1 step of 0.000867\n", "From time 1.432 to 1.433, in 1 step of 0.000954\n", "From time 1.433 to 1.434, in 1 step of 0.00105\n", "From time 1.434 to 1.435, in 1 step of 0.00115\n", "From time 1.435 to 1.436, in 1 step of 0.00127\n", "From time 1.436 to 1.438, in 1 step of 0.0014\n", "From time 1.438 to 1.439, in 1 step of 0.00154\n", "From time 1.439 to 1.441, in 1 step of 0.00169\n", "From time 1.441 to 1.443, in 1 step of 0.00186\n", "From time 1.443 to 1.445, in 1 step of 0.00204\n", "From time 1.445 to 1.447, in 1 step of 0.00225\n", "From time 1.447 to 1.45, in 1 step of 0.00247\n", "From time 1.45 to 1.452, in 1 step of 0.00272\n", "From time 1.452 to 1.455, in 1 step of 0.00299\n", "From time 1.455 to 1.459, in 1 step of 0.00329\n", "From time 1.459 to 1.462, in 1 step of 0.00362\n", "From time 1.462 to 1.466, in 1 step of 0.00398\n", "From time 1.466 to 1.471, in 1 step of 0.00438\n", "From time 1.471 to 1.476, in 1 step of 0.00482\n", "From time 1.476 to 1.481, in 1 step of 0.0053\n", "From time 1.481 to 1.545, in 11 steps of 0.00583\n", "From time 1.545 to 1.545, in 1 step of 0.000373\n", "From time 1.545 to 1.546, in 1 step of 0.000411\n", "From time 1.546 to 1.546, in 1 step of 0.000452\n", "From time 1.546 to 1.547, in 1 step of 0.000497\n", "From time 1.547 to 1.547, in 1 step of 0.000547\n", "From time 1.547 to 1.548, in 1 step of 0.000601\n", "From time 1.548 to 1.549, in 1 step of 0.000661\n", "From time 1.549 to 1.549, in 1 step of 0.000727\n", "From time 1.549 to 1.55, in 1 step of 0.0008\n", "From time 1.55 to 1.551, in 1 step of 0.00088\n", "From time 1.551 to 1.552, in 1 step of 0.000968\n", "From time 1.552 to 1.553, in 1 step of 0.00107\n", "From time 1.553 to 1.554, in 1 step of 0.00117\n", "From time 1.554 to 1.555, in 1 step of 0.00129\n", "From time 1.555 to 1.557, in 1 step of 0.00142\n", "From time 1.557 to 1.558, in 1 step of 0.00156\n", "From time 1.558 to 1.56, in 1 step of 0.00172\n", "From time 1.56 to 1.562, in 1 step of 0.00189\n", "From time 1.562 to 1.564, in 1 step of 0.00208\n", "From time 1.564 to 1.566, in 1 step of 0.00228\n", "From time 1.566 to 1.569, in 1 step of 0.00251\n", "From time 1.569 to 1.572, in 1 step of 0.00276\n", "From time 1.572 to 1.575, in 1 step of 0.00304\n", "From time 1.575 to 1.578, in 1 step of 0.00334\n", "From time 1.578 to 1.582, in 1 step of 0.00368\n", "From time 1.582 to 1.586, in 1 step of 0.00404\n", "From time 1.586 to 1.59, in 1 step of 0.00445\n", "From time 1.59 to 1.595, in 1 step of 0.00489\n", "From time 1.595 to 1.6, in 1 step of 0.00538\n", "From time 1.6 to 1.666, in 11 steps of 0.00592\n", "From time 1.666 to 1.666, in 2 steps of 0.000379\n", "From time 1.666 to 1.667, in 1 step of 0.000417\n", "From time 1.667 to 1.667, in 1 step of 0.000459\n", "From time 1.667 to 1.668, in 1 step of 0.000504\n", "From time 1.668 to 1.668, in 1 step of 0.000555\n", "From time 1.668 to 1.669, in 1 step of 0.00061\n", "From time 1.669 to 1.67, in 1 step of 0.000671\n", "From time 1.67 to 1.67, in 1 step of 0.000739\n", "From time 1.67 to 1.671, in 1 step of 0.000812\n", "From time 1.671 to 1.672, in 1 step of 0.000894\n", "From time 1.672 to 1.673, in 1 step of 0.000983\n", "From time 1.673 to 1.674, in 1 step of 0.00108\n", "From time 1.674 to 1.675, in 1 step of 0.00119\n", "From time 1.675 to 1.677, in 1 step of 0.00131\n", "From time 1.677 to 1.678, in 1 step of 0.00144\n", "From time 1.678 to 1.68, in 1 step of 0.00158\n", "From time 1.68 to 1.681, in 1 step of 0.00174\n", "From time 1.681 to 1.683, in 1 step of 0.00192\n", "From time 1.683 to 1.685, in 1 step of 0.00211\n", "From time 1.685 to 1.688, in 1 step of 0.00232\n", "From time 1.688 to 1.69, in 1 step of 0.00255\n", "From time 1.69 to 1.693, in 1 step of 0.0028\n", "From time 1.693 to 1.696, in 1 step of 0.00308\n", "From time 1.696 to 1.7, in 1 step of 0.00339\n", "From time 1.7 to 1.703, in 1 step of 0.00373\n", "From time 1.703 to 1.707, in 1 step of 0.00411\n", "From time 1.707 to 1.712, in 1 step of 0.00452\n", "From time 1.712 to 1.717, in 1 step of 0.00497\n", "From time 1.717 to 1.722, in 1 step of 0.00547\n", "From time 1.722 to 1.788, in 11 steps of 0.00601\n", "From time 1.788 to 1.79, in 2 steps of 0.000962\n", "From time 1.79 to 1.791, in 1 step of 0.00106\n", "From time 1.791 to 1.793, in 1 step of 0.00116\n", "From time 1.793 to 1.794, in 1 step of 0.00128\n", "From time 1.794 to 1.795, in 1 step of 0.00141\n", "From time 1.795 to 1.797, in 1 step of 0.00155\n", "From time 1.797 to 1.799, in 1 step of 0.0017\n", "From time 1.799 to 1.8, in 1 step of 0.00187\n", "From time 1.8 to 1.802, in 1 step of 0.00206\n", "From time 1.802 to 1.805, in 1 step of 0.00227\n", "From time 1.805 to 1.807, in 1 step of 0.00249\n", "From time 1.807 to 1.81, in 1 step of 0.00274\n", "From time 1.81 to 1.813, in 1 step of 0.00302\n", "From time 1.813 to 1.816, in 1 step of 0.00332\n", "From time 1.816 to 1.82, in 1 step of 0.00365\n", "From time 1.82 to 1.824, in 1 step of 0.00402\n", "From time 1.824 to 1.828, in 1 step of 0.00442\n", "From time 1.828 to 1.833, in 1 step of 0.00486\n", "From time 1.833 to 1.839, in 1 step of 0.00535\n", "From time 1.839 to 1.897, in 10 steps of 0.00588\n", "From time 1.897 to 1.91, in 2 steps of 0.00647\n", "From time 1.91 to 1.914, in 1 step of 0.00324\n", "From time 1.914 to 1.916, in 2 steps of 0.00142\n", "From time 1.916 to 1.918, in 1 step of 0.00157\n", "From time 1.918 to 1.92, in 1 step of 0.00172\n", "From time 1.92 to 1.922, in 1 step of 0.00189\n", "From time 1.922 to 1.924, in 1 step of 0.00208\n", "From time 1.924 to 1.926, in 1 step of 0.00229\n", "From time 1.926 to 1.929, in 1 step of 0.00252\n", "From time 1.929 to 1.931, in 1 step of 0.00277\n", "From time 1.931 to 1.934, in 1 step of 0.00305\n", "From time 1.934 to 1.938, in 1 step of 0.00336\n", "From time 1.938 to 1.941, in 1 step of 0.00369\n", "From time 1.941 to 1.946, in 1 step of 0.00406\n", "From time 1.946 to 1.95, in 1 step of 0.00447\n", "From time 1.95 to 1.955, in 1 step of 0.00491\n", "From time 1.955 to 1.96, in 1 step of 0.00541\n", "From time 1.96 to 1.966, in 1 step of 0.00595\n", "From time 1.966 to 2.038, in 11 steps of 0.00654\n", "From time 2.038 to 2.039, in 1 step of 0.000419\n", "From time 2.039 to 2.039, in 1 step of 0.000461\n", "From time 2.039 to 2.04, in 1 step of 0.000507\n", "From time 2.04 to 2.04, in 1 step of 0.000557\n", "From time 2.04 to 2.041, in 1 step of 0.000613\n", "From time 2.041 to 2.041, in 1 step of 0.000674\n", "From time 2.041 to 2.042, in 1 step of 0.000742\n", "From time 2.042 to 2.043, in 1 step of 0.000816\n", "From time 2.043 to 2.044, in 1 step of 0.000897\n", "From time 2.044 to 2.045, in 1 step of 0.000987\n", "From time 2.045 to 2.046, in 1 step of 0.00109\n", "From time 2.046 to 2.047, in 1 step of 0.00119\n", "From time 2.047 to 2.048, in 1 step of 0.00131\n", "From time 2.048 to 2.05, in 1 step of 0.00145\n", "From time 2.05 to 2.051, in 1 step of 0.00159\n", "From time 2.051 to 2.053, in 1 step of 0.00175\n", "From time 2.053 to 2.055, in 1 step of 0.00192\n", "From time 2.055 to 2.057, in 1 step of 0.00212\n", "From time 2.057 to 2.06, in 1 step of 0.00233\n", "From time 2.06 to 2.062, in 1 step of 0.00256\n", "From time 2.062 to 2.065, in 1 step of 0.00282\n", "From time 2.065 to 2.068, in 1 step of 0.0031\n", "From time 2.068 to 2.071, in 1 step of 0.00341\n", "From time 2.071 to 2.075, in 1 step of 0.00375\n", "From time 2.075 to 2.079, in 1 step of 0.00412\n", "From time 2.079 to 2.084, in 1 step of 0.00454\n", "From time 2.084 to 2.089, in 1 step of 0.00499\n", "From time 2.089 to 2.094, in 1 step of 0.00549\n", "From time 2.094 to 2.1, in 1 step of 0.00604\n", "From time 2.1 to 2.173, in 11 steps of 0.00664\n", "From time 2.173 to 2.176, in 1 step of 0.00266\n", "From time 2.176 to 2.179, in 1 step of 0.00292\n", "From time 2.179 to 2.185, in 2 steps of 0.00321\n", "From time 2.185 to 2.189, in 1 step of 0.00354\n", "From time 2.189 to 2.193, in 1 step of 0.00389\n", "From time 2.193 to 2.197, in 1 step of 0.00428\n", "From time 2.197 to 2.202, in 1 step of 0.00471\n", "From time 2.202 to 2.207, in 1 step of 0.00518\n", "From time 2.207 to 2.213, in 1 step of 0.00569\n", "From time 2.213 to 2.219, in 1 step of 0.00626\n", "From time 2.219 to 2.226, in 1 step of 0.00689\n", "From time 2.226 to 2.229, in 1 step of 0.00276\n", "From time 2.229 to 2.232, in 1 step of 0.00303\n", "From time 2.232 to 2.238, in 2 steps of 0.00333\n", "From time 2.238 to 2.242, in 1 step of 0.00367\n", "From time 2.242 to 2.246, in 1 step of 0.00404\n", "From time 2.246 to 2.251, in 1 step of 0.00444\n", "From time 2.251 to 2.255, in 1 step of 0.00488\n", "From time 2.255 to 2.261, in 1 step of 0.00537\n", "From time 2.261 to 2.267, in 1 step of 0.00591\n", "From time 2.267 to 2.28, in 2 steps of 0.0065\n", "From time 2.28 to 2.282, in 1 step of 0.0026\n", "From time 2.282 to 2.285, in 1 step of 0.00286\n", "From time 2.285 to 2.291, in 2 steps of 0.00315\n", "From time 2.291 to 2.295, in 1 step of 0.00346\n", "From time 2.295 to 2.299, in 1 step of 0.00381\n", "From time 2.299 to 2.303, in 1 step of 0.00419\n", "From time 2.303 to 2.307, in 1 step of 0.00461\n", "From time 2.307 to 2.313, in 1 step of 0.00507\n", "From time 2.313 to 2.318, in 1 step of 0.00557\n", "From time 2.318 to 2.324, in 1 step of 0.00613\n", "From time 2.324 to 2.331, in 1 step of 0.00674\n", "From time 2.331 to 2.346, in 2 steps of 0.00742\n", "From time 2.346 to 2.349, in 1 step of 0.00297\n", "From time 2.349 to 2.352, in 1 step of 0.00326\n", "From time 2.352 to 2.353, in 1 step of 0.00144\n", "From time 2.353 to 2.355, in 1 step of 0.00158\n", "From time 2.355 to 2.357, in 1 step of 0.00174\n", "From time 2.357 to 2.359, in 1 step of 0.00191\n", "From time 2.359 to 2.361, in 1 step of 0.0021\n", "From time 2.361 to 2.363, in 1 step of 0.00231\n", "From time 2.363 to 2.366, in 1 step of 0.00254\n", "From time 2.366 to 2.368, in 1 step of 0.0028\n", "From time 2.368 to 2.372, in 1 step of 0.00308\n", "From time 2.372 to 2.375, in 1 step of 0.00339\n", "From time 2.375 to 2.379, in 1 step of 0.00372\n", "From time 2.379 to 2.383, in 1 step of 0.0041\n", "From time 2.383 to 2.387, in 1 step of 0.00451\n", "From time 2.387 to 2.392, in 1 step of 0.00496\n", "From time 2.392 to 2.398, in 1 step of 0.00545\n", "From time 2.398 to 2.404, in 1 step of 0.006\n", "From time 2.404 to 2.41, in 1 step of 0.0066\n", "From time 2.41 to 2.468, in 8 steps of 0.00726\n", "From time 2.468 to 2.492, in 3 steps of 0.00798\n", "From time 2.492 to 2.495, in 1 step of 0.00319\n", "From time 2.495 to 2.499, in 1 step of 0.00351\n", "From time 2.499 to 2.501, in 1 step of 0.00155\n", "From time 2.501 to 2.502, in 1 step of 0.0017\n", "From time 2.502 to 2.504, in 1 step of 0.00187\n", "From time 2.504 to 2.506, in 1 step of 0.00206\n", "From time 2.506 to 2.508, in 1 step of 0.00226\n", "From time 2.508 to 2.511, in 1 step of 0.00249\n", "From time 2.511 to 2.514, in 1 step of 0.00274\n", "From time 2.514 to 2.517, in 1 step of 0.00301\n", "From time 2.517 to 2.52, in 1 step of 0.00331\n", "From time 2.52 to 2.524, in 1 step of 0.00364\n", "From time 2.524 to 2.528, in 1 step of 0.00401\n", "From time 2.528 to 2.532, in 1 step of 0.00441\n", "From time 2.532 to 2.537, in 1 step of 0.00485\n", "From time 2.537 to 2.542, in 1 step of 0.00534\n", "From time 2.542 to 2.548, in 1 step of 0.00587\n", "From time 2.548 to 2.555, in 1 step of 0.00646\n", "From time 2.555 to 2.562, in 1 step of 0.0071\n", "From time 2.562 to 2.609, in 6 steps of 0.00781\n", "From time 2.609 to 2.651, in 5 steps of 0.00859\n", "From time 2.651 to 2.652, in 1 step of 0.00022\n", "From time 2.652 to 2.652, in 1 step of 0.000242\n", "From time 2.652 to 2.652, in 1 step of 0.000266\n", "From time 2.652 to 2.653, in 1 step of 0.000293\n", "From time 2.653 to 2.653, in 1 step of 0.000322\n", "From time 2.653 to 2.653, in 1 step of 0.000354\n", "From time 2.653 to 2.654, in 1 step of 0.00039\n", "From time 2.654 to 2.654, in 1 step of 0.000429\n", "From time 2.654 to 2.654, in 1 step of 0.000472\n", "From time 2.654 to 2.655, in 1 step of 0.000519\n", "From time 2.655 to 2.656, in 1 step of 0.000571\n", "From time 2.656 to 2.656, in 1 step of 0.000628\n", "From time 2.656 to 2.657, in 1 step of 0.00069\n", "From time 2.657 to 2.658, in 1 step of 0.000759\n", "From time 2.658 to 2.658, in 1 step of 0.000835\n", "From time 2.658 to 2.659, in 1 step of 0.000919\n", "From time 2.659 to 2.66, in 1 step of 0.00101\n", "From time 2.66 to 2.662, in 1 step of 0.00111\n", "From time 2.662 to 2.663, in 1 step of 0.00122\n", "From time 2.663 to 2.664, in 1 step of 0.00135\n", "From time 2.664 to 2.666, in 1 step of 0.00148\n", "From time 2.666 to 2.667, in 1 step of 0.00163\n", "From time 2.667 to 2.669, in 1 step of 0.00179\n", "From time 2.669 to 2.671, in 1 step of 0.00197\n", "From time 2.671 to 2.673, in 1 step of 0.00217\n", "From time 2.673 to 2.676, in 1 step of 0.00238\n", "From time 2.676 to 2.678, in 1 step of 0.00262\n", "From time 2.678 to 2.681, in 1 step of 0.00288\n", "From time 2.681 to 2.684, in 1 step of 0.00317\n", "From time 2.684 to 2.688, in 1 step of 0.00349\n", "From time 2.688 to 2.692, in 1 step of 0.00384\n", "From time 2.692 to 2.696, in 1 step of 0.00422\n", "From time 2.696 to 2.7, in 1 step of 0.00464\n", "From time 2.7 to 2.705, in 1 step of 0.00511\n", "From time 2.705 to 2.711, in 1 step of 0.00562\n", "From time 2.711 to 2.717, in 1 step of 0.00618\n", "From time 2.717 to 2.724, in 1 step of 0.0068\n", "From time 2.724 to 2.732, in 1 step of 0.00748\n", "From time 2.732 to 2.74, in 1 step of 0.00823\n", "From time 2.74 to 2.839, in 11 steps of 0.00905\n", "From time 2.839 to 2.841, in 1 step of 0.00145\n", "From time 2.841 to 2.842, in 1 step of 0.000724\n", "From time 2.842 to 2.842, in 1 step of 0.000797\n", "From time 2.842 to 2.843, in 1 step of 0.000876\n", "From time 2.843 to 2.844, in 1 step of 0.000964\n", "From time 2.844 to 2.845, in 1 step of 0.00106\n", "From time 2.845 to 2.846, in 1 step of 0.00117\n", "From time 2.846 to 2.848, in 1 step of 0.00128\n", "From time 2.848 to 2.849, in 1 step of 0.00141\n", "From time 2.849 to 2.851, in 1 step of 0.00155\n", "From time 2.851 to 2.852, in 1 step of 0.00171\n", "From time 2.852 to 2.854, in 1 step of 0.00188\n", "From time 2.854 to 2.856, in 1 step of 0.00207\n", "From time 2.856 to 2.859, in 1 step of 0.00227\n", "From time 2.859 to 2.861, in 1 step of 0.0025\n", "From time 2.861 to 2.864, in 1 step of 0.00275\n", "From time 2.864 to 2.867, in 1 step of 0.00302\n", "From time 2.867 to 2.87, in 1 step of 0.00333\n", "From time 2.87 to 2.874, in 1 step of 0.00366\n", "From time 2.874 to 2.878, in 1 step of 0.00403\n", "From time 2.878 to 2.882, in 1 step of 0.00443\n", "From time 2.882 to 2.887, in 1 step of 0.00487\n", "From time 2.887 to 2.893, in 1 step of 0.00536\n", "From time 2.893 to 2.898, in 1 step of 0.00589\n", "From time 2.898 to 2.905, in 1 step of 0.00648\n", "From time 2.905 to 2.912, in 1 step of 0.00713\n", "From time 2.912 to 2.92, in 1 step of 0.00785\n", "From time 2.92 to 2.928, in 1 step of 0.00863\n", "From time 2.928 to 2.938, in 1 step of 0.00949\n", "From time 2.938 to 3.032, in 9 steps of 0.0104\n", "From time 3.032 to 3.034, in 1 step of 0.00167\n", "From time 3.034 to 3.035, in 1 step of 0.00184\n", "From time 3.035 to 3.038, in 1 step of 0.00202\n", "From time 3.038 to 3.04, in 1 step of 0.00222\n", "From time 3.04 to 3.042, in 1 step of 0.00245\n", "From time 3.042 to 3.045, in 1 step of 0.00269\n", "From time 3.045 to 3.048, in 1 step of 0.00296\n", "From time 3.048 to 3.051, in 1 step of 0.00326\n", "From time 3.051 to 3.055, in 1 step of 0.00358\n", "From time 3.055 to 3.059, in 1 step of 0.00394\n", "From time 3.059 to 3.063, in 1 step of 0.00433\n", "From time 3.063 to 3.068, in 1 step of 0.00477\n", "From time 3.068 to 3.073, in 1 step of 0.00524\n", "From time 3.073 to 3.079, in 1 step of 0.00577\n", "From time 3.079 to 3.085, in 1 step of 0.00634\n", "From time 3.085 to 3.092, in 1 step of 0.00698\n", "From time 3.092 to 3.1, in 1 step of 0.00768\n", "From time 3.1 to 3.108, in 1 step of 0.00844\n", "From time 3.108 to 3.117, in 1 step of 0.00929\n", "From time 3.117 to 3.128, in 1 step of 0.0102\n", "From time 3.128 to 3.15, in 2 steps of 0.0112\n", "From time 3.15 to 3.237, in 7 steps of 0.0124\n", "From time 3.237 to 3.239, in 1 step of 0.00198\n", "From time 3.239 to 3.239, in 1 step of 0.000317\n", "From time 3.239 to 3.239, in 1 step of 0.000348\n", "From time 3.239 to 3.24, in 1 step of 0.000383\n", "From time 3.24 to 3.24, in 1 step of 0.000421\n", "From time 3.24 to 3.241, in 1 step of 0.000463\n", "From time 3.241 to 3.241, in 1 step of 0.00051\n", "From time 3.241 to 3.242, in 1 step of 0.000561\n", "From time 3.242 to 3.242, in 1 step of 0.000617\n", "From time 3.242 to 3.243, in 1 step of 0.000678\n", "From time 3.243 to 3.244, in 1 step of 0.000746\n", "From time 3.244 to 3.245, in 1 step of 0.000821\n", "From time 3.245 to 3.245, in 1 step of 0.000903\n", "From time 3.245 to 3.246, in 1 step of 0.000993\n", "From time 3.246 to 3.248, in 1 step of 0.00109\n", "From time 3.248 to 3.249, in 1 step of 0.0012\n", "From time 3.249 to 3.25, in 1 step of 0.00132\n", "From time 3.25 to 3.252, in 1 step of 0.00145\n", "From time 3.252 to 3.253, in 1 step of 0.0016\n", "From time 3.253 to 3.255, in 1 step of 0.00176\n", "From time 3.255 to 3.257, in 1 step of 0.00194\n", "From time 3.257 to 3.259, in 1 step of 0.00213\n", "From time 3.259 to 3.261, in 1 step of 0.00234\n", "From time 3.261 to 3.264, in 1 step of 0.00258\n", "From time 3.264 to 3.267, in 1 step of 0.00283\n", "From time 3.267 to 3.27, in 1 step of 0.00312\n", "From time 3.27 to 3.273, in 1 step of 0.00343\n", "From time 3.273 to 3.277, in 1 step of 0.00377\n", "From time 3.277 to 3.281, in 1 step of 0.00415\n", "From time 3.281 to 3.286, in 1 step of 0.00456\n", "From time 3.286 to 3.291, in 1 step of 0.00502\n", "From time 3.291 to 3.296, in 1 step of 0.00552\n", "From time 3.296 to 3.302, in 1 step of 0.00608\n", "From time 3.302 to 3.309, in 1 step of 0.00668\n", "From time 3.309 to 3.316, in 1 step of 0.00735\n", "From time 3.316 to 3.324, in 1 step of 0.00809\n", "From time 3.324 to 3.333, in 1 step of 0.00889\n", "From time 3.333 to 3.343, in 1 step of 0.00978\n", "From time 3.343 to 3.354, in 1 step of 0.0108\n", "From time 3.354 to 3.366, in 1 step of 0.0118\n", "From time 3.366 to 3.379, in 1 step of 0.013\n", "From time 3.379 to 3.422, in 3 steps of 0.0143\n", "From time 3.422 to 3.485, in 4 steps of 0.0158\n", "From time 3.485 to 3.491, in 1 step of 0.0063\n", "From time 3.491 to 3.498, in 1 step of 0.00693\n", "From time 3.498 to 3.501, in 1 step of 0.00277\n", "From time 3.501 to 3.502, in 1 step of 0.00139\n", "From time 3.502 to 3.504, in 1 step of 0.00153\n", "From time 3.504 to 3.505, in 1 step of 0.00168\n", "From time 3.505 to 3.507, in 1 step of 0.00185\n", "From time 3.507 to 3.509, in 1 step of 0.00203\n", "From time 3.509 to 3.511, in 1 step of 0.00223\n", "From time 3.511 to 3.514, in 1 step of 0.00246\n", "From time 3.514 to 3.517, in 1 step of 0.0027\n", "From time 3.517 to 3.52, in 1 step of 0.00297\n", "From time 3.52 to 3.523, in 1 step of 0.00327\n", "From time 3.523 to 3.526, in 1 step of 0.0036\n", "From time 3.526 to 3.53, in 1 step of 0.00396\n", "From time 3.53 to 3.535, in 1 step of 0.00435\n", "From time 3.535 to 3.54, in 1 step of 0.00479\n", "From time 3.54 to 3.545, in 1 step of 0.00527\n", "From time 3.545 to 3.551, in 1 step of 0.00579\n", "From time 3.551 to 3.557, in 1 step of 0.00637\n", "From time 3.557 to 3.564, in 1 step of 0.00701\n", "From time 3.564 to 3.572, in 1 step of 0.00771\n", "From time 3.572 to 3.58, in 1 step of 0.00848\n", "From time 3.58 to 3.59, in 1 step of 0.00933\n", "From time 3.59 to 3.6, in 1 step of 0.0103\n", "From time 3.6 to 3.611, in 1 step of 0.0113\n", "From time 3.611 to 3.623, in 1 step of 0.0124\n", "From time 3.623 to 3.637, in 1 step of 0.0137\n", "From time 3.637 to 3.652, in 1 step of 0.015\n", "From time 3.652 to 3.669, in 1 step of 0.0165\n", "From time 3.669 to 3.687, in 1 step of 0.0182\n", "From time 3.687 to 3.747, in 3 steps of 0.02\n", "From time 3.747 to 3.813, in 3 steps of 0.022\n", "From time 3.813 to 3.823, in 1 step of 0.00968\n", "From time 3.823 to 3.824, in 1 step of 0.0017\n", "From time 3.824 to 3.825, in 1 step of 0.00075\n", "From time 3.825 to 3.825, in 1 step of 0.000375\n", "From time 3.825 to 3.826, in 1 step of 0.000412\n", "From time 3.826 to 3.826, in 1 step of 0.000453\n", "From time 3.826 to 3.827, in 1 step of 0.000499\n", "From time 3.827 to 3.827, in 1 step of 0.000549\n", "From time 3.827 to 3.828, in 1 step of 0.000604\n", "From time 3.828 to 3.829, in 1 step of 0.000664\n", "From time 3.829 to 3.829, in 1 step of 0.00073\n", "From time 3.829 to 3.83, in 1 step of 0.000803\n", "From time 3.83 to 3.831, in 1 step of 0.000884\n", "From time 3.831 to 3.832, in 1 step of 0.000972\n", "From time 3.832 to 3.833, in 1 step of 0.00107\n", "From time 3.833 to 3.834, in 1 step of 0.00118\n", "From time 3.834 to 3.835, in 1 step of 0.00129\n", "From time 3.835 to 3.837, in 1 step of 0.00142\n", "From time 3.837 to 3.838, in 1 step of 0.00157\n", "From time 3.838 to 3.84, in 1 step of 0.00172\n", "From time 3.84 to 3.842, in 1 step of 0.00189\n", "From time 3.842 to 3.844, in 1 step of 0.00208\n", "From time 3.844 to 3.846, in 1 step of 0.00229\n", "From time 3.846 to 3.849, in 1 step of 0.00252\n", "From time 3.849 to 3.852, in 1 step of 0.00277\n", "From time 3.852 to 3.855, in 1 step of 0.00305\n", "From time 3.855 to 3.858, in 1 step of 0.00336\n", "From time 3.858 to 3.862, in 1 step of 0.00369\n", "From time 3.862 to 3.866, in 1 step of 0.00406\n", "From time 3.866 to 3.87, in 1 step of 0.00447\n", "From time 3.87 to 3.875, in 1 step of 0.00491\n", "From time 3.875 to 3.881, in 1 step of 0.0054\n", "From time 3.881 to 3.887, in 1 step of 0.00594\n", "From time 3.887 to 3.893, in 1 step of 0.00654\n", "From time 3.893 to 3.9, in 1 step of 0.00719\n", "From time 3.9 to 3.908, in 1 step of 0.00791\n", "From time 3.908 to 3.917, in 1 step of 0.0087\n", "From time 3.917 to 3.927, in 1 step of 0.00957\n", "From time 3.927 to 3.937, in 1 step of 0.0105\n", "From time 3.937 to 3.949, in 1 step of 0.0116\n", "From time 3.949 to 3.961, in 1 step of 0.0127\n", "From time 3.961 to 3.975, in 1 step of 0.014\n", "From time 3.975 to 3.991, in 1 step of 0.0154\n", "From time 3.991 to 4.008, in 1 step of 0.017\n", "From time 4.008 to 4.026, in 1 step of 0.0187\n", "From time 4.026 to 4.047, in 1 step of 0.0205\n", "From time 4.047 to 4.07, in 1 step of 0.0226\n", "From time 4.07 to 4.094, in 1 step of 0.0248\n", "From time 4.094 to 4.122, in 1 step of 0.0273\n", "From time 4.122 to 4.152, in 1 step of 0.03\n", "From time 4.152 to 4.185, in 1 step of 0.0331\n", "From time 4.185 to 4.221, in 1 step of 0.0364\n", "From time 4.221 to 4.236, in 1 step of 0.0145\n", "From time 4.236 to 4.237, in 1 step of 0.00102\n", "From time 4.237 to 4.238, in 1 step of 0.00113\n", "From time 4.238 to 4.239, in 1 step of 0.00124\n", "From time 4.239 to 4.24, in 1 step of 0.00136\n", "From time 4.24 to 4.242, in 1 step of 0.0015\n", "From time 4.242 to 4.244, in 1 step of 0.00165\n", "From time 4.244 to 4.244, in 1 step of 4.64e-05\n", "From time 4.244 to 4.244, in 1 step of 4.52e-05\n", "From time 4.244 to 4.244, in 1 step of 4.98e-05\n", "From time 4.244 to 4.244, in 1 step of 5.47e-05\n", "From time 4.244 to 4.244, in 1 step of 6.02e-05\n", "From time 4.244 to 4.244, in 1 step of 6.62e-05\n", "From time 4.244 to 4.244, in 1 step of 7.29e-05\n", "From time 4.244 to 4.244, in 1 step of 8.02e-05\n", "From time 4.244 to 4.244, in 1 step of 8.82e-05\n", "From time 4.244 to 4.245, in 1 step of 9.7e-05\n", "From time 4.245 to 4.245, in 1 step of 0.000107\n", "From time 4.245 to 4.245, in 1 step of 0.000117\n", "From time 4.245 to 4.245, in 1 step of 0.000129\n", "From time 4.245 to 4.245, in 1 step of 0.000142\n", "From time 4.245 to 4.245, in 1 step of 0.000156\n", "From time 4.245 to 4.245, in 1 step of 0.000172\n", "From time 4.245 to 4.246, in 1 step of 0.000189\n", "From time 4.246 to 4.246, in 1 step of 0.000208\n", "From time 4.246 to 4.246, in 1 step of 0.000229\n", "From time 4.246 to 4.246, in 1 step of 0.000252\n", "From time 4.246 to 4.246, in 1 step of 0.000277\n", "From time 4.246 to 4.247, in 1 step of 0.000304\n", "From time 4.247 to 4.247, in 1 step of 0.000335\n", "From time 4.247 to 4.248, in 1 step of 0.000368\n", "From time 4.248 to 4.248, in 1 step of 0.000405\n", "From time 4.248 to 4.248, in 1 step of 0.000446\n", "From time 4.248 to 4.249, in 1 step of 0.00049\n", "From time 4.249 to 4.249, in 1 step of 0.000539\n", "From time 4.249 to 4.25, in 1 step of 0.000593\n", "From time 4.25 to 4.251, in 1 step of 0.000652\n", "From time 4.251 to 4.251, in 1 step of 0.000718\n", "From time 4.251 to 4.252, in 1 step of 0.000789\n", "From time 4.252 to 4.253, in 1 step of 0.000868\n", "From time 4.253 to 4.254, in 1 step of 0.000955\n", "From time 4.254 to 4.255, in 1 step of 0.00105\n", "From time 4.255 to 4.256, in 1 step of 0.00116\n", "From time 4.256 to 4.257, in 1 step of 0.00127\n", "From time 4.257 to 4.259, in 1 step of 0.0014\n", "From time 4.259 to 4.26, in 1 step of 0.00154\n", "From time 4.26 to 4.262, in 1 step of 0.00169\n", "From time 4.262 to 4.264, in 1 step of 0.00186\n", "From time 4.264 to 4.266, in 1 step of 0.00205\n", "From time 4.266 to 4.268, in 1 step of 0.00225\n", "From time 4.268 to 4.271, in 1 step of 0.00248\n", "From time 4.271 to 4.273, in 1 step of 0.00273\n", "From time 4.273 to 4.276, in 1 step of 0.003\n", "From time 4.276 to 4.28, in 1 step of 0.0033\n", "From time 4.28 to 4.283, in 1 step of 0.00363\n", "From time 4.283 to 4.287, in 1 step of 0.00399\n", "From time 4.287 to 4.292, in 1 step of 0.00439\n", "From time 4.292 to 4.297, in 1 step of 0.00483\n", "From time 4.297 to 4.302, in 1 step of 0.00531\n", "From time 4.302 to 4.308, in 1 step of 0.00584\n", "From time 4.308 to 4.314, in 1 step of 0.00643\n", "From time 4.314 to 4.321, in 1 step of 0.00707\n", "From time 4.321 to 4.329, in 1 step of 0.00778\n", "From time 4.329 to 4.338, in 1 step of 0.00855\n", "From time 4.338 to 4.347, in 1 step of 0.00941\n", "From time 4.347 to 4.357, in 1 step of 0.0103\n", "From time 4.357 to 4.369, in 1 step of 0.0114\n", "From time 4.369 to 4.381, in 1 step of 0.0125\n", "From time 4.381 to 4.395, in 1 step of 0.0138\n", "From time 4.395 to 4.41, in 1 step of 0.0152\n", "From time 4.41 to 4.427, in 1 step of 0.0167\n", "From time 4.427 to 4.445, in 1 step of 0.0183\n", "From time 4.445 to 4.465, in 1 step of 0.0202\n", "From time 4.465 to 4.487, in 1 step of 0.0222\n", "From time 4.487 to 4.512, in 1 step of 0.0244\n", "From time 4.512 to 4.539, in 1 step of 0.0268\n", "From time 4.539 to 4.568, in 1 step of 0.0295\n", "From time 4.568 to 4.601, in 1 step of 0.0325\n", "From time 4.601 to 4.636, in 1 step of 0.0357\n", "From time 4.636 to 4.676, in 1 step of 0.0393\n", "From time 4.676 to 4.719, in 1 step of 0.0432\n", "From time 4.719 to 4.726, in 1 step of 0.00692\n", "From time 4.726 to 4.734, in 1 step of 0.00761\n", "From time 4.734 to 4.737, in 1 step of 0.0038\n", "From time 4.737 to 4.739, in 1 step of 0.0019\n", "From time 4.739 to 4.741, in 1 step of 0.00209\n", "From time 4.741 to 4.744, in 1 step of 0.0023\n", "From time 4.744 to 4.746, in 1 step of 0.00253\n", "From time 4.746 to 4.749, in 1 step of 0.00279\n", "From time 4.749 to 4.752, in 1 step of 0.00306\n", "From time 4.752 to 4.755, in 1 step of 0.00337\n", "From time 4.755 to 4.759, in 1 step of 0.00371\n", "From time 4.759 to 4.763, in 1 step of 0.00408\n", "From time 4.763 to 4.768, in 1 step of 0.00449\n", "From time 4.768 to 4.773, in 1 step of 0.00493\n", "From time 4.773 to 4.778, in 1 step of 0.00543\n", "From time 4.778 to 4.784, in 1 step of 0.00597\n", "From time 4.784 to 4.791, in 1 step of 0.00657\n", "From time 4.791 to 4.798, in 1 step of 0.00722\n", "From time 4.798 to 4.806, in 1 step of 0.00795\n", "From time 4.806 to 4.814, in 1 step of 0.00874\n", "From time 4.814 to 4.824, in 1 step of 0.00962\n", "From time 4.824 to 4.835, in 1 step of 0.0106\n", "From time 4.835 to 4.846, in 1 step of 0.0116\n", "From time 4.846 to 4.859, in 1 step of 0.0128\n", "From time 4.859 to 4.873, in 1 step of 0.0141\n", "From time 4.873 to 4.889, in 1 step of 0.0155\n", "From time 4.889 to 4.906, in 1 step of 0.017\n", "From time 4.906 to 4.924, in 1 step of 0.0187\n", "From time 4.924 to 4.945, in 1 step of 0.0206\n", "From time 4.945 to 4.968, in 1 step of 0.0227\n", "From time 4.968 to 4.993, in 1 step of 0.0249\n", "From time 4.993 to 5.02, in 1 step of 0.0274\n", "From time 5.02 to 5.05, in 1 step of 0.0302\n", "From time 5.05 to 5.064, in 1 step of 0.0133\n", "From time 5.064 to 5.066, in 1 step of 0.00234\n", "From time 5.066 to 5.068, in 1 step of 0.00257\n", "From time 5.068 to 5.071, in 1 step of 0.00283\n", "From time 5.071 to 5.078, in 2 steps of 0.00311\n", "From time 5.078 to 5.081, in 1 step of 0.00342\n", "From time 5.081 to 5.085, in 1 step of 0.00376\n", "From time 5.085 to 5.089, in 1 step of 0.00414\n", "From time 5.089 to 5.093, in 1 step of 0.00455\n", "From time 5.093 to 5.098, in 1 step of 0.00501\n", "From time 5.098 to 5.104, in 1 step of 0.00551\n", "From time 5.104 to 5.11, in 1 step of 0.00606\n", "From time 5.11 to 5.117, in 1 step of 0.00667\n", "From time 5.117 to 5.124, in 1 step of 0.00733\n", "From time 5.124 to 5.132, in 1 step of 0.00807\n", "From time 5.132 to 5.141, in 1 step of 0.00887\n", "From time 5.141 to 5.151, in 1 step of 0.00976\n", "From time 5.151 to 5.161, in 1 step of 0.0107\n", "From time 5.161 to 5.173, in 1 step of 0.0118\n", "From time 5.173 to 5.186, in 1 step of 0.013\n", "From time 5.186 to 5.201, in 1 step of 0.0143\n", "From time 5.201 to 5.216, in 1 step of 0.0157\n", "From time 5.216 to 5.234, in 1 step of 0.0173\n", "From time 5.234 to 5.253, in 1 step of 0.019\n", "From time 5.253 to 5.273, in 1 step of 0.0209\n", "From time 5.273 to 5.296, in 1 step of 0.023\n", "From time 5.296 to 5.322, in 1 step of 0.0253\n", "From time 5.322 to 5.35, in 1 step of 0.0279\n", "From time 5.35 to 5.38, in 1 step of 0.0306\n", "From time 5.38 to 5.393, in 1 step of 0.0123\n", "From time 5.393 to 5.395, in 1 step of 0.00245\n", "From time 5.395 to 5.396, in 1 step of 0.00108\n", "From time 5.396 to 5.397, in 1 step of 0.000539\n", "From time 5.397 to 5.397, in 1 step of 0.000593\n", "From time 5.397 to 5.397, in 1 step of 0.000261\n", "From time 5.397 to 5.398, in 1 step of 0.000287\n", "From time 5.398 to 5.398, in 1 step of 0.000316\n", "From time 5.398 to 5.398, in 1 step of 0.000347\n", "From time 5.398 to 5.399, in 1 step of 0.000382\n", "From time 5.399 to 5.399, in 1 step of 0.00042\n", "From time 5.399 to 5.4, in 1 step of 0.000462\n", "From time 5.4 to 5.4, in 1 step of 0.000509\n", "From time 5.4 to 5.401, in 1 step of 0.000559\n", "From time 5.401 to 5.401, in 1 step of 0.000615\n", "From time 5.401 to 5.402, in 1 step of 0.000677\n", "From time 5.402 to 5.403, in 1 step of 0.000745\n", "From time 5.403 to 5.404, in 1 step of 0.000819\n", "From time 5.404 to 5.405, in 1 step of 0.000901\n", "From time 5.405 to 5.406, in 1 step of 0.000991\n", "From time 5.406 to 5.407, in 1 step of 0.00109\n", "From time 5.407 to 5.408, in 1 step of 0.0012\n", "From time 5.408 to 5.409, in 1 step of 0.00132\n", "From time 5.409 to 5.411, in 1 step of 0.00145\n", "From time 5.411 to 5.412, in 1 step of 0.0016\n", "From time 5.412 to 5.414, in 1 step of 0.00176\n", "From time 5.414 to 5.416, in 1 step of 0.00193\n", "From time 5.416 to 5.418, in 1 step of 0.00212\n", "From time 5.418 to 5.42, in 1 step of 0.00234\n", "From time 5.42 to 5.423, in 1 step of 0.00257\n", "From time 5.423 to 5.426, in 1 step of 0.00283\n", "From time 5.426 to 5.429, in 1 step of 0.00311\n", "From time 5.429 to 5.432, in 1 step of 0.00342\n", "From time 5.432 to 5.436, in 1 step of 0.00376\n", "From time 5.436 to 5.44, in 1 step of 0.00414\n", "From time 5.44 to 5.445, in 1 step of 0.00455\n", "From time 5.445 to 5.45, in 1 step of 0.00501\n", "From time 5.45 to 5.455, in 1 step of 0.00551\n", "From time 5.455 to 5.461, in 1 step of 0.00606\n", "From time 5.461 to 5.468, in 1 step of 0.00667\n", "From time 5.468 to 5.475, in 1 step of 0.00733\n", "From time 5.475 to 5.483, in 1 step of 0.00807\n", "From time 5.483 to 5.492, in 1 step of 0.00887\n", "From time 5.492 to 5.502, in 1 step of 0.00976\n", "From time 5.502 to 5.513, in 1 step of 0.0107\n", "From time 5.513 to 5.525, in 1 step of 0.0118\n", "From time 5.525 to 5.538, in 1 step of 0.013\n", "From time 5.538 to 5.552, in 1 step of 0.0143\n", "From time 5.552 to 5.568, in 1 step of 0.0157\n", "From time 5.568 to 5.585, in 1 step of 0.0173\n", "From time 5.585 to 5.604, in 1 step of 0.019\n", "From time 5.604 to 5.625, in 1 step of 0.0209\n", "From time 5.625 to 5.648, in 1 step of 0.023\n", "From time 5.648 to 5.673, in 1 step of 0.0253\n", "From time 5.673 to 5.701, in 1 step of 0.0279\n", "From time 5.701 to 5.732, in 1 step of 0.0306\n", "From time 5.732 to 5.765, in 1 step of 0.0337\n", "From time 5.765 to 5.802, in 1 step of 0.0371\n", "From time 5.802 to 5.843, in 1 step of 0.0408\n", "From time 5.843 to 5.85, in 1 step of 0.00652\n", "From time 5.85 to 5.857, in 1 step of 0.00718\n", "From time 5.857 to 5.864, in 2 steps of 0.00359\n", "From time 5.864 to 5.868, in 1 step of 0.00395\n", "From time 5.868 to 5.872, in 1 step of 0.00434\n", "From time 5.872 to 5.877, in 1 step of 0.00478\n", "From time 5.877 to 5.882, in 1 step of 0.00525\n", "From time 5.882 to 5.888, in 1 step of 0.00578\n", "From time 5.888 to 5.894, in 1 step of 0.00636\n", "From time 5.894 to 5.901, in 1 step of 0.00699\n", "From time 5.901 to 5.909, in 1 step of 0.00769\n", "From time 5.909 to 5.918, in 1 step of 0.00846\n", "From time 5.918 to 5.927, in 1 step of 0.00931\n", "From time 5.927 to 5.937, in 1 step of 0.0102\n", "From time 5.937 to 5.948, in 1 step of 0.0113\n", "From time 5.948 to 5.961, in 1 step of 0.0124\n", "From time 5.961 to 5.974, in 1 step of 0.0136\n", "From time 5.974 to 5.989, in 1 step of 0.015\n", "From time 5.989 to 6.006, in 1 step of 0.0165\n", "From time 6.006 to 6.024, in 1 step of 0.0181\n", "From time 6.024 to 6.027, in 1 step of 0.00319\n", "From time 6.027 to 6.029, in 1 step of 0.00128\n", "From time 6.029 to 6.029, in 1 step of 0.000638\n", "From time 6.029 to 6.03, in 1 step of 0.000702\n", "From time 6.03 to 6.031, in 1 step of 0.000772\n", "From time 6.031 to 6.031, in 1 step of 0.00085\n", "From time 6.031 to 6.032, in 1 step of 0.000935\n", "From time 6.032 to 6.033, in 1 step of 0.00103\n", "From time 6.033 to 6.035, in 1 step of 0.00113\n", "From time 6.035 to 6.036, in 1 step of 0.00124\n", "From time 6.036 to 6.037, in 1 step of 0.00137\n", "From time 6.037 to 6.039, in 1 step of 0.00151\n", "From time 6.039 to 6.04, in 1 step of 0.00166\n", "From time 6.04 to 6.042, in 1 step of 0.00182\n", "From time 6.042 to 6.044, in 1 step of 0.002\n", "From time 6.044 to 6.046, in 1 step of 0.0022\n", "From time 6.046 to 6.049, in 1 step of 0.00242\n", "From time 6.049 to 6.051, in 1 step of 0.00267\n", "From time 6.051 to 6.054, in 1 step of 0.00293\n", "From time 6.054 to 6.058, in 1 step of 0.00323\n", "From time 6.058 to 6.061, in 1 step of 0.00355\n", "From time 6.061 to 6.065, in 1 step of 0.0039\n", "From time 6.065 to 6.069, in 1 step of 0.00429\n", "From time 6.069 to 6.074, in 1 step of 0.00472\n", "From time 6.074 to 6.079, in 1 step of 0.0052\n", "From time 6.079 to 6.085, in 1 step of 0.00572\n", "From time 6.085 to 6.091, in 1 step of 0.00629\n", "From time 6.091 to 6.098, in 1 step of 0.00692\n", "From time 6.098 to 6.106, in 1 step of 0.00761\n", "From time 6.106 to 6.114, in 1 step of 0.00837\n", "From time 6.114 to 6.123, in 1 step of 0.00921\n", "From time 6.123 to 6.134, in 1 step of 0.0101\n", "From time 6.134 to 6.145, in 1 step of 0.0111\n", "From time 6.145 to 6.157, in 1 step of 0.0123\n", "From time 6.157 to 6.17, in 1 step of 0.0135\n", "From time 6.17 to 6.185, in 1 step of 0.0148\n", "From time 6.185 to 6.202, in 1 step of 0.0163\n", "From time 6.202 to 6.219, in 1 step of 0.0179\n", "From time 6.219 to 6.239, in 1 step of 0.0197\n", "From time 6.239 to 6.261, in 1 step of 0.0217\n", "From time 6.261 to 6.285, in 1 step of 0.0239\n", "From time 6.285 to 6.311, in 1 step of 0.0263\n", "From time 6.311 to 6.34, in 1 step of 0.0289\n", "From time 6.34 to 6.372, in 1 step of 0.0318\n", "From time 6.372 to 6.407, in 1 step of 0.035\n", "From time 6.407 to 6.445, in 1 step of 0.0385\n", "From time 6.445 to 6.487, in 1 step of 0.0423\n", "From time 6.487 to 6.494, in 1 step of 0.00677\n", "From time 6.494 to 6.502, in 1 step of 0.00745\n", "From time 6.502 to 6.505, in 1 step of 0.00372\n", "From time 6.505 to 6.507, in 1 step of 0.00186\n", "From time 6.507 to 6.509, in 1 step of 0.00205\n", "From time 6.509 to 6.512, in 1 step of 0.00225\n", "From time 6.512 to 6.514, in 1 step of 0.00248\n", "From time 6.514 to 6.517, in 1 step of 0.00273\n", "From time 6.517 to 6.52, in 1 step of 0.003\n", "From time 6.52 to 6.523, in 1 step of 0.0033\n", "From time 6.523 to 6.527, in 1 step of 0.00363\n", "From time 6.527 to 6.531, in 1 step of 0.00399\n", "From time 6.531 to 6.535, in 1 step of 0.00439\n", "From time 6.535 to 6.54, in 1 step of 0.00483\n", "From time 6.54 to 6.545, in 1 step of 0.00531\n", "From time 6.545 to 6.551, in 1 step of 0.00584\n", "From time 6.551 to 6.557, in 1 step of 0.00643\n", "From time 6.557 to 6.565, in 1 step of 0.00707\n", "From time 6.565 to 6.572, in 1 step of 0.00778\n", "From time 6.572 to 6.581, in 1 step of 0.00855\n", "From time 6.581 to 6.59, in 1 step of 0.00941\n", "From time 6.59 to 6.601, in 1 step of 0.0103\n", "From time 6.601 to 6.612, in 1 step of 0.0114\n", "From time 6.612 to 6.625, in 1 step of 0.0125\n", "From time 6.625 to 6.638, in 1 step of 0.0138\n", "From time 6.638 to 6.653, in 1 step of 0.0152\n", "From time 6.653 to 6.67, in 1 step of 0.0167\n", "From time 6.67 to 6.688, in 1 step of 0.0183\n", "From time 6.688 to 6.709, in 1 step of 0.0202\n", "From time 6.709 to 6.731, in 1 step of 0.0222\n", "From time 6.731 to 6.755, in 1 step of 0.0244\n", "From time 6.755 to 6.782, in 1 step of 0.0268\n", "From time 6.782 to 6.812, in 1 step of 0.0295\n", "From time 6.812 to 6.844, in 1 step of 0.0325\n", "From time 6.844 to 6.85, in 1 step of 0.00572\n", "From time 6.85 to 6.852, in 1 step of 0.00252\n", "From time 6.852 to 6.855, in 1 step of 0.00277\n", "From time 6.855 to 6.856, in 1 step of 0.000487\n", "From time 6.856 to 6.856, in 1 step of 0.000536\n", "From time 6.856 to 6.857, in 1 step of 0.000589\n", "From time 6.857 to 6.857, in 1 step of 0.000648\n", "From time 6.857 to 6.858, in 1 step of 0.000713\n", "From time 6.858 to 6.859, in 1 step of 0.000784\n", "From time 6.859 to 6.86, in 1 step of 0.000863\n", "From time 6.86 to 6.861, in 1 step of 0.000949\n", "From time 6.861 to 6.862, in 1 step of 0.00104\n", "From time 6.862 to 6.863, in 1 step of 0.00115\n", "From time 6.863 to 6.864, in 1 step of 0.00126\n", "From time 6.864 to 6.865, in 1 step of 0.00139\n", "From time 6.865 to 6.867, in 1 step of 0.00153\n", "From time 6.867 to 6.869, in 1 step of 0.00168\n", "From time 6.869 to 6.871, in 1 step of 0.00185\n", "From time 6.871 to 6.873, in 1 step of 0.00203\n", "From time 6.873 to 6.875, in 1 step of 0.00224\n", "From time 6.875 to 6.877, in 1 step of 0.00246\n", "From time 6.877 to 6.88, in 1 step of 0.00271\n", "From time 6.88 to 6.883, in 1 step of 0.00298\n", "From time 6.883 to 6.886, in 1 step of 0.00328\n", "From time 6.886 to 6.89, in 1 step of 0.0036\n", "From time 6.89 to 6.894, in 1 step of 0.00396\n", "From time 6.894 to 6.898, in 1 step of 0.00436\n", "From time 6.898 to 6.903, in 1 step of 0.0048\n", "From time 6.903 to 6.908, in 1 step of 0.00528\n", "From time 6.908 to 6.914, in 1 step of 0.0058\n", "From time 6.914 to 6.92, in 1 step of 0.00638\n", "From time 6.92 to 6.927, in 1 step of 0.00702\n", "From time 6.927 to 6.935, in 1 step of 0.00772\n", "From time 6.935 to 6.944, in 1 step of 0.0085\n", "From time 6.944 to 6.953, in 1 step of 0.00935\n", "From time 6.953 to 6.963, in 1 step of 0.0103\n", "From time 6.963 to 6.975, in 1 step of 0.0113\n", "From time 6.975 to 6.987, in 1 step of 0.0124\n", "From time 6.987 to 7.001, in 1 step of 0.0137\n", "From time 7.001 to 7.016, in 1 step of 0.0151\n", "From time 7.016 to 7.032, in 1 step of 0.0166\n", "From time 7.032 to 7.051, in 1 step of 0.0182\n", "From time 7.051 to 7.071, in 1 step of 0.02\n", "From time 7.071 to 7.093, in 1 step of 0.022\n", "From time 7.093 to 7.117, in 1 step of 0.0242\n", "From time 7.117 to 7.144, in 1 step of 0.0267\n", "From time 7.144 to 7.173, in 1 step of 0.0293\n", "From time 7.173 to 7.205, in 1 step of 0.0323\n", "From time 7.205 to 7.241, in 1 step of 0.0355\n", "From time 7.241 to 7.28, in 1 step of 0.039\n", "From time 7.28 to 7.323, in 1 step of 0.0429\n", "From time 7.323 to 7.323, in 1 step of 7.74e-05\n", "From time 7.323 to 7.323, in 1 step of 8.51e-05\n", "From time 7.323 to 7.323, in 1 step of 9.37e-05\n", "From time 7.323 to 7.323, in 1 step of 0.000103\n", "From time 7.323 to 7.323, in 1 step of 0.000113\n", "From time 7.323 to 7.323, in 1 step of 0.000125\n", "From time 7.323 to 7.323, in 1 step of 0.000137\n", "From time 7.323 to 7.324, in 1 step of 0.000151\n", "From time 7.324 to 7.324, in 1 step of 0.000166\n", "From time 7.324 to 7.324, in 1 step of 0.000183\n", "From time 7.324 to 7.324, in 1 step of 0.000201\n", "From time 7.324 to 7.324, in 1 step of 0.000221\n", "From time 7.324 to 7.325, in 1 step of 0.000243\n", "From time 7.325 to 7.325, in 1 step of 0.000267\n", "From time 7.325 to 7.325, in 1 step of 0.000294\n", "From time 7.325 to 7.325, in 1 step of 0.000323\n", "From time 7.325 to 7.326, in 1 step of 0.000356\n", "From time 7.326 to 7.326, in 1 step of 0.000391\n", "From time 7.326 to 7.327, in 1 step of 0.00043\n", "From time 7.327 to 7.327, in 1 step of 0.000473\n", "From time 7.327 to 7.328, in 1 step of 0.000521\n", "From time 7.328 to 7.328, in 1 step of 0.000573\n", "From time 7.328 to 7.328, in 1 step of 0.000252\n", "From time 7.328 to 7.329, in 1 step of 0.000277\n", "From time 7.329 to 7.329, in 1 step of 0.000305\n", "From time 7.329 to 7.329, in 1 step of 0.000335\n", "From time 7.329 to 7.33, in 1 step of 0.000369\n", "From time 7.33 to 7.33, in 1 step of 0.000406\n", "From time 7.33 to 7.331, in 1 step of 0.000446\n", "From time 7.331 to 7.331, in 1 step of 0.000491\n", "From time 7.331 to 7.332, in 1 step of 0.00054\n", "From time 7.332 to 7.332, in 1 step of 0.000594\n", "From time 7.332 to 7.333, in 1 step of 0.000654\n", "From time 7.333 to 7.334, in 1 step of 0.000719\n", "From time 7.334 to 7.334, in 1 step of 0.000791\n", "From time 7.334 to 7.335, in 1 step of 0.00087\n", "From time 7.335 to 7.336, in 1 step of 0.000957\n", "From time 7.336 to 7.337, in 1 step of 0.00105\n", "From time 7.337 to 7.338, in 1 step of 0.00116\n", "From time 7.338 to 7.34, in 1 step of 0.00127\n", "From time 7.34 to 7.341, in 1 step of 0.0014\n", "From time 7.341 to 7.343, in 1 step of 0.00154\n", "From time 7.343 to 7.344, in 1 step of 0.0017\n", "From time 7.344 to 7.346, in 1 step of 0.00187\n", "From time 7.346 to 7.348, in 1 step of 0.00205\n", "From time 7.348 to 7.35, in 1 step of 0.00226\n", "From time 7.35 to 7.353, in 1 step of 0.00248\n", "From time 7.353 to 7.356, in 1 step of 0.00273\n", "From time 7.356 to 7.359, in 1 step of 0.003\n", "From time 7.359 to 7.362, in 1 step of 0.0033\n", "From time 7.362 to 7.366, in 1 step of 0.00363\n", "From time 7.366 to 7.37, in 1 step of 0.004\n", "From time 7.37 to 7.374, in 1 step of 0.0044\n", "From time 7.374 to 7.379, in 1 step of 0.00484\n", "From time 7.379 to 7.384, in 1 step of 0.00532\n", "From time 7.384 to 7.39, in 1 step of 0.00585\n", "From time 7.39 to 7.396, in 1 step of 0.00644\n", "From time 7.396 to 7.404, in 1 step of 0.00708\n", "From time 7.404 to 7.411, in 1 step of 0.00779\n", "From time 7.411 to 7.42, in 1 step of 0.00857\n", "From time 7.42 to 7.429, in 1 step of 0.00943\n", "From time 7.429 to 7.44, in 1 step of 0.0104\n", "From time 7.44 to 7.451, in 1 step of 0.0114\n", "From time 7.451 to 7.464, in 1 step of 0.0125\n", "From time 7.464 to 7.477, in 1 step of 0.0138\n", "From time 7.477 to 7.493, in 1 step of 0.0152\n", "From time 7.493 to 7.509, in 1 step of 0.0167\n", "From time 7.509 to 7.528, in 1 step of 0.0184\n", "From time 7.528 to 7.548, in 1 step of 0.0202\n", "From time 7.548 to 7.57, in 1 step of 0.0222\n", "From time 7.57 to 7.595, in 1 step of 0.0245\n", "From time 7.595 to 7.622, in 1 step of 0.0269\n", "From time 7.622 to 7.651, in 1 step of 0.0296\n", "From time 7.651 to 7.684, in 1 step of 0.0325\n", "From time 7.684 to 7.719, in 1 step of 0.0358\n", "From time 7.719 to 7.759, in 1 step of 0.0394\n", "From time 7.759 to 7.764, in 2 steps of 0.00277\n", "From time 7.764 to 7.767, in 1 step of 0.00305\n", "From time 7.767 to 7.771, in 1 step of 0.00335\n", "From time 7.771 to 7.774, in 1 step of 0.00369\n", "From time 7.774 to 7.779, in 1 step of 0.00406\n", "From time 7.779 to 7.783, in 1 step of 0.00446\n", "From time 7.783 to 7.788, in 1 step of 0.00491\n", "From time 7.788 to 7.793, in 1 step of 0.0054\n", "From time 7.793 to 7.799, in 1 step of 0.00594\n", "From time 7.799 to 7.806, in 1 step of 0.00654\n", "From time 7.806 to 7.813, in 1 step of 0.00719\n", "From time 7.813 to 7.821, in 1 step of 0.00791\n", "From time 7.821 to 7.83, in 1 step of 0.0087\n", "From time 7.83 to 7.839, in 1 step of 0.00957\n", "From time 7.839 to 7.85, in 1 step of 0.0105\n", "From time 7.85 to 7.861, in 1 step of 0.0116\n", "From time 7.861 to 7.874, in 1 step of 0.0127\n", "From time 7.874 to 7.888, in 1 step of 0.014\n", "From time 7.888 to 7.903, in 1 step of 0.0154\n", "From time 7.903 to 7.92, in 1 step of 0.017\n", "From time 7.92 to 7.939, in 1 step of 0.0187\n", "From time 7.939 to 7.96, in 1 step of 0.0205\n", "From time 7.96 to 7.982, in 1 step of 0.0226\n", "From time 7.982 to 8.007, in 1 step of 0.0248\n", "(1893 steps total)\n" ] } ], "source": [ "dynamics.explain_time_advance() # Notice a lot of timestep adjustments, as needed" ] }, { "cell_type": "markdown", "id": "61d80b2d-ac5d-4d34-bdaf-9183b07445ab", "metadata": {}, "source": [ "### Just like we saw in the earlier run, the two plots have 4 distinctive intersections among them; locate and save them:" ] }, { "cell_type": "code", "execution_count": 31, "id": "3b7374c8-1d91-4490-a20a-a8704f50aabf", "metadata": {}, "outputs": [], "source": [ "run2 = []" ] }, { "cell_type": "code", "execution_count": 32, "id": "06a456e9-3292-464a-b295-b7c6e9416411", "metadata": {}, "outputs": [], "source": [ "run2.append(dynamics.curve_intersect(t_start=1., t_end=2., chem1=\"E_high\", chem2=\"E_low\")) # This can be seen in the 1st plot" ] }, { "cell_type": "code", "execution_count": 33, "id": "65ba29ca-76d7-4a62-aa7b-9e1655238a0e", "metadata": {}, "outputs": [], "source": [ "run2.append(dynamics.curve_intersect(t_start=2.31, t_end=2.33, chem1=\"A\", chem2=\"B\")) # This, and later, can be seen in the 2nd plot" ] }, { "cell_type": "code", "execution_count": 34, "id": "a54cab94-1b24-44fd-bc1f-7500c19455ee", "metadata": {}, "outputs": [], "source": [ "run2.append(dynamics.curve_intersect(t_start=3., t_end=4., chem1=\"A\", chem2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 35, "id": "93b38c9d-2101-4b6b-b4ed-0b42cb6ded06", "metadata": {}, "outputs": [], "source": [ "run2.append(dynamics.curve_intersect(t_start=3., t_end=4., chem1=\"B\", chem2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 36, "id": "32f1d5ff-5295-4eb3-a5bb-85bad43b50fa", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5780067649840679, 499.999999999999),\n", " (2.3232195286058, 40.37131994241191),\n", " (3.0085519261791998, 31.292420179037926),\n", " (3.260088742083356, 36.19449057022661)]" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run2" ] }, { "cell_type": "code", "execution_count": null, "id": "446e53bb-f715-4baf-baee-ce35f02a4e72", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "7e5c8990-1abc-4349-b651-ac7fdc2cef08", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "edc22090-daf5-4ca4-9109-64589def23de", "metadata": {}, "source": [ "# Run # 3. FIXED time resolution, using FINER fixed resolution than in run #1 " ] }, { "cell_type": "code", "execution_count": 37, "id": "65dbc605-2037-4484-9bad-957ecdcb6451", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "5 species:\n", " Species 0 (A). Conc: 100.0\n", " Species 1 (B). Conc: 0.0\n", " Species 2 (C). Conc: 0.0\n", " Species 3 (E_high). Conc: 1000.0\n", " Species 4 (E_low). Conc: 0.0\n", "Set of chemicals involved in reactions: {'E_high', 'C', 'B', 'E_low', 'A'}\n" ] } ], "source": [ "dynamics = UniformCompartment(chem_data=chem_data) # Note: OVER-WRITING the \"dynamics\" object\n", "dynamics.set_conc(conc=initial_conc, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 38, "id": "a039ff65-0504-455b-a4f2-1e0c17fdd08c", "metadata": {}, "outputs": [], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()" ] }, { "cell_type": "code", "execution_count": 39, "id": "cf6a8313-2a36-4a67-89a7-512217331aeb", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "75 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.0004, target_end_time=0.03, variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 40, "id": "5d46aedb-ab55-4910-b3c9-6f8d49baa236", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9940 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.0005, target_end_time=5., variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 41, "id": "f2600206-aa79-40b6-8b8d-6061c8a03568", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1200 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(initial_step=0.0025, target_end_time=8., variable_steps=False)" ] }, { "cell_type": "code", "execution_count": 42, "id": "4933f334-e4f5-45e7-be91-3b11e667f244", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCE_highE_lowcaption
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........................
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112137.995010.01831230.00683059.97485832.330192967.669808
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112158.000010.01816630.00677659.97505832.329618967.670382
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11216 rows × 7 columns

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" ], "text/plain": [ " SYSTEM TIME A B C E_high E_low \\\n", "0 0.0000 100.000000 0.000000 0.000000 1000.000000 0.000000 \n", "1 0.0004 99.640000 0.360000 0.000000 1000.000000 0.000000 \n", "2 0.0008 99.281728 0.717120 0.001152 1000.000000 0.000000 \n", "3 0.0012 98.925635 1.071381 0.002984 999.999539 0.000461 \n", "4 0.0016 98.571979 1.422804 0.005218 999.998349 0.001651 \n", "... ... ... ... ... ... ... \n", "11211 7.9900 10.018459 30.006885 59.974656 32.330771 967.669229 \n", "11212 7.9925 10.018385 30.006858 59.974757 32.330481 967.669519 \n", "11213 7.9950 10.018312 30.006830 59.974858 32.330192 967.669808 \n", "11214 7.9975 10.018239 30.006803 59.974958 32.329904 967.670096 \n", "11215 8.0000 10.018166 30.006776 59.975058 32.329618 967.670382 \n", "\n", " caption \n", "0 Initialized state \n", "1 \n", "2 \n", "3 \n", "4 \n", "... ... \n", "11211 \n", "11212 \n", "11213 \n", "11214 \n", "11215 \n", "\n", "[11216 rows x 7 columns]" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history()" ] }, { "cell_type": "markdown", "id": "4989acc3-3d74-4133-9cdf-b3e7a95a745c", "metadata": {}, "source": [ "### Notice we created 11,215 data points, A LOT MORE than in runs #1 and #2" ] }, { "cell_type": "code", "execution_count": 43, "id": "c8fa980d-361a-45ea-8102-f1c83cc1511f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.03, in 75 steps of 0.0004\n", "From time 0.03 to 5, in 9940 steps of 0.0005\n", "From time 5 to 8, in 1200 steps of 0.0025\n", "(11215 steps total)\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "3d365566-179d-4f9d-a41c-6dc9d7cfad98", "metadata": { "tags": [] }, "source": [ "## Plots of changes of concentration with time" ] }, { "cell_type": "code", "execution_count": 44, "id": "dfc1b89b-d661-40bb-8578-e497abdebe32", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E_high
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(chemicals=[\"A\", \"B\", \"C\"])" ] }, { "cell_type": "markdown", "id": "755c36f1-bbef-403e-87ff-3f06456adbee", "metadata": {}, "source": [ "### Yet again, the two plots have 4 distinctive intersections among them; locate and save them:" ] }, { "cell_type": "code", "execution_count": 46, "id": "2c66065b-1063-498b-a198-f32d19f6e394", "metadata": {}, "outputs": [], "source": [ "run3 = []" ] }, { "cell_type": "code", "execution_count": 47, "id": "77990447-a8ee-4819-bb43-07d9947aa4af", "metadata": {}, "outputs": [], "source": [ "run3.append(dynamics.curve_intersect(t_start=1., t_end=2., chem1=\"E_high\", chem2=\"E_low\"))" ] }, { "cell_type": "code", "execution_count": 48, "id": "f070aac6-228b-4f05-b403-9a209741628d", "metadata": {}, "outputs": [], "source": [ "run3.append(dynamics.curve_intersect(t_start=2.31, t_end=2.33, chem1=\"A\", chem2=\"B\"))" ] }, { "cell_type": "code", "execution_count": 49, "id": "ba3d9b31-b556-4b91-af5b-f67d45e767c2", "metadata": {}, "outputs": [], "source": [ "run3.append(dynamics.curve_intersect(t_start=3., t_end=4., chem1=\"A\", chem2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 50, "id": "b2633ff9-092b-4ba4-9a18-b96dd0342277", "metadata": {}, "outputs": [], "source": [ "run3.append(dynamics.curve_intersect(t_start=3., t_end=4., chem1=\"B\", chem2=\"C\"))" ] }, { "cell_type": "code", "execution_count": 51, "id": "7c4d7df3-377e-4150-b9eb-c66676036089", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782924165400347, 500.00000000000097),\n", " (2.324314772661154, 40.369610560733825),\n", " (3.0100101552808494, 31.29190450449909),\n", " (3.262685299694276, 36.193867736703666)]" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run3" ] }, { "cell_type": "code", "execution_count": null, "id": "fb3a2a60-7ca2-4568-85f3-ff642c00e9ab", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "2fbcdc85-1bf5-4f17-83a1-647a91249c5a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "246e10d8-39ff-40fb-9283-6692440622a6", "metadata": {}, "source": [ "# Finally, compare (using a Euclidean metric) the discrepancy between the runs\n", "Run #3, at high resolution, could be thought of as \"the closest to the actual values\"" ] }, { "cell_type": "code", "execution_count": 52, "id": "08f923d0-c30e-4e64-a173-085a51d66dfc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.00032919271043321753" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Discrepancy of run1 from run3\n", "num.compare_results(run1, run3)" ] }, { "cell_type": "code", "execution_count": 53, "id": "de481852-d94e-44e3-86da-f8e6a4536270", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0037047978947051976" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Discrepancy of run2 from run3\n", "num.compare_results(run2, run3)" ] }, { "cell_type": "markdown", "id": "573ee4cf-2bd6-48c0-a534-90b53f12bc59", "metadata": {}, "source": [ "Run 2 (with a lot fewer points than run 1), not surprisingly deviates a bit more from the (presumably) highly-accurate run 3" ] }, { "cell_type": "markdown", "id": "6a86de1c-515e-4e7d-8649-b5aa41df3d8d", "metadata": {}, "source": [ "#### The coordinates of the 4 critical points, from the 3 different runs, are pretty similar to one another - as can be easily seen:" ] }, { "cell_type": "code", "execution_count": 54, "id": "3b2b147e-2299-47ae-94dc-05243211fcac", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782463316015305, 499.9999999999999),\n", " (2.324208426199163, 40.36968965779538),\n", " (3.0098252303164066, 31.29187589510951),\n", " (3.2624567026161637, 36.1939052299051)]" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run1" ] }, { "cell_type": "code", "execution_count": 55, "id": "cda568ff-b329-4911-baff-456c852ada19", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5780067649840679, 499.999999999999),\n", " (2.3232195286058, 40.37131994241191),\n", " (3.0085519261791998, 31.292420179037926),\n", " (3.260088742083356, 36.19449057022661)]" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run2" ] }, { "cell_type": "code", "execution_count": 56, "id": "44397093-e409-4d24-aa97-461ff15d8750", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[(1.5782924165400347, 500.00000000000097),\n", " (2.324314772661154, 40.369610560733825),\n", " (3.0100101552808494, 31.29190450449909),\n", " (3.262685299694276, 36.193867736703666)]" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "run3" ] }, { "cell_type": "code", "execution_count": null, "id": "6ac33723", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "jupytext": { "formats": "ipynb,py:percent" }, "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }