A
, B
and C
: (1) A <-> B <-> C
¶C
to A
) is coupled with an "energy donor" reaction:¶C + E_High <-> A + E_Low
¶E_High
and E_Low
are, respectively, the high- and low- energy molecules that drive the cycle (for example, think of ATP/ADP).¶Comparisons are made between results obtained with 3 different time resolutions.
All 1st-order kinetics.
LAST REVISED: June 23, 2024 (using v. 1.0 beta36)
import set_path # Importing this module will add the project's home directory to sys.path
Added 'D:\Docs\- MY CODE\BioSimulations\life123-Win7' to sys.path
from experiments.get_notebook_info import get_notebook_basename
from life123 import ChemData
from life123 import UniformCompartment
from life123 import Numerical as num
from life123 import GraphicLog
# Initialize the HTML logging
log_file = get_notebook_basename() + ".log.htm" # Use the notebook base filename for the log file
# Set up the use of some specified graphic (Vue) components
GraphicLog.config(filename=log_file,
components=["vue_cytoscape_2"],
extra_js="https://cdnjs.cloudflare.com/ajax/libs/cytoscape/3.21.2/cytoscape.umd.js")
-> Output will be LOGGED into the file 'cycles_1.log.htm'
# Initialize the system
chem_data = ChemData(names=["A", "B", "C", "E_high", "E_low"])
# Reaction A <-> B, mostly in forward direction (favored energetically)
# Note: all reactions in this experiment have 1st-order kinetics for all species
chem_data.add_reaction(reactants="A", products="B",
forward_rate=9., reverse_rate=3.)
# Reaction B <-> C, also favored energetically
chem_data.add_reaction(reactants="B", products="C",
forward_rate=8., reverse_rate=4.)
# Reaction C + E_High <-> A + E_Low, also favored energetically, but kinetically slow
# Note that, thanks to the energy donation from E, we can go "upstream" from C, to the higher-energy level of "A"
chem_data.add_reaction(reactants=["C" , "E_high"], products=["A", "E_low"],
forward_rate=1., reverse_rate=0.2)
chem_data.describe_reactions()
# Send the plot of the reaction network to the HTML log file
chem_data.plot_reaction_network("vue_cytoscape_2")
Number of reactions: 3 (at temp. 25 C) 0: A <-> B (kF = 9 / kR = 3 / delta_G = -2,723.4 / K = 3) | 1st order in all reactants & products 1: B <-> C (kF = 8 / kR = 4 / delta_G = -1,718.3 / K = 2) | 1st order in all reactants & products 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 Set of chemicals involved in the above reactions: {'E_high', 'C', 'B', 'E_low', 'A'} [GRAPHIC ELEMENT SENT TO LOG FILE `cycles_1.log.htm`]
initial_conc = {"A": 100., "E_high": 1000.} # Note the abundant energy source "E_high"; anything not specified will default to zero
initial_conc
{'A': 100.0, 'E_high': 1000.0}
(trial and error, not shown, reveals that increasing any of the time steps below, leads to "excessive time step" errors;
note: fixed time resolution is generelly NOT recommended, except for double-checks and error analysis)
dynamics = UniformCompartment(chem_data=chem_data)
dynamics.set_conc(conc=initial_conc, snapshot=True)
dynamics.describe_state()
SYSTEM STATE at Time t = 0: 5 species: Species 0 (A). Conc: 100.0 Species 1 (B). Conc: 0.0 Species 2 (C). Conc: 0.0 Species 3 (E_high). Conc: 1000.0 Species 4 (E_low). Conc: 0.0 Set of chemicals involved in reactions: {'E_high', 'C', 'B', 'E_low', 'A'}
dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()
Time [0-0.03] fast changes
Time [0.03-5.] medium changes
Time [5.-8.] slow changes, as we approach equilibrium
dynamics.single_compartment_react(initial_step=0.0008, target_end_time=0.03, variable_steps=False)
#dynamics.get_history()
38 total step(s) taken
dynamics.single_compartment_react(initial_step=0.001, target_end_time=5., variable_steps=False)
#dynamics.get_history()
4970 total step(s) taken
dynamics.single_compartment_react(initial_step=0.005, target_end_time=8., variable_steps=False)
600 total step(s) taken
dynamics.get_history()
SYSTEM TIME | A | B | C | E_high | E_low | caption | |
---|---|---|---|---|---|---|---|
0 | 0.0000 | 100.000000 | 0.000000 | 0.000000 | 1000.000000 | 0.000000 | Initialized state |
1 | 0.0008 | 99.280000 | 0.720000 | 0.000000 | 1000.000000 | 0.000000 | |
2 | 0.0016 | 98.566912 | 1.428480 | 0.004608 | 1000.000000 | 0.000000 | |
3 | 0.0024 | 97.864345 | 2.125606 | 0.010049 | 999.996314 | 0.003686 | |
4 | 0.0032 | 97.172805 | 2.811556 | 0.015639 | 999.988332 | 0.011668 | |
... | ... | ... | ... | ... | ... | ... | ... |
5604 | 7.9804 | 10.018545 | 30.006917 | 59.974537 | 32.331113 | 967.668887 | |
5605 | 7.9854 | 10.018398 | 30.006862 | 59.974740 | 32.330530 | 967.669470 | |
5606 | 7.9904 | 10.018251 | 30.006808 | 59.974942 | 32.329952 | 967.670048 | |
5607 | 7.9954 | 10.018105 | 30.006753 | 59.975142 | 32.329378 | 967.670622 | |
5608 | 8.0004 | 10.017961 | 30.006699 | 59.975340 | 32.328809 | 967.671191 |
5609 rows × 7 columns
dynamics.explain_time_advance()
From time 0 to 0.0304, in 38 steps of 0.0008 From time 0.0304 to 5, in 4970 steps of 0.001 From time 5 to 8, in 600 steps of 0.005 (5608 steps total)
dynamics.plot_history(chemicals=["E_high", "E_low"], colors=["red", "grey"])
dynamics.plot_history(chemicals=["A", "B", "C"])
run1 = []
run1.append(dynamics.curve_intersect("E_high", "E_low", t_start=1., t_end=2.))
run1.append(dynamics.curve_intersect("A", "B", t_start=2.31, t_end=2.33))
run1.append(dynamics.curve_intersect("A", "C", t_start=3., t_end=4.))
run1.append(dynamics.curve_intersect("B", "C", t_start=3., t_end=4.))
run1
[(1.5782463316015305, 499.9999999999999), (2.324208426199163, 40.36968965779538), (3.0098252303164066, 31.29187589510951), (3.2624567026161637, 36.1939052299051)]
dynamics.is_in_equilibrium()
0: A <-> B Final concentrations: [A] = 10.02 ; [B] = 30.01 1. Ratio of reactant/product concentrations, adjusted for reaction orders: 2.99529 Formula used: [B] / [A] 2. Ratio of forward/reverse reaction rates: 3 Discrepancy between the two values: 0.157 % Reaction IS in equilibrium (within 1% tolerance) 1: B <-> C Final concentrations: [B] = 30.01 ; [C] = 59.98 1. Ratio of reactant/product concentrations, adjusted for reaction orders: 1.99873 Formula used: [C] / [B] 2. Ratio of forward/reverse reaction rates: 2 Discrepancy between the two values: 0.06342 % Reaction IS in equilibrium (within 1% tolerance) 2: C + E_high <-> A + E_low Final concentrations: [C] = 59.98 ; [E_high] = 32.33 ; [A] = 10.02 ; [E_low] = 967.7 1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4.99971 Formula used: ([A][E_low]) / ([C][E_high]) 2. Ratio of forward/reverse reaction rates: 5 Discrepancy between the two values: 0.005823 % Reaction IS in equilibrium (within 1% tolerance)
True
dynamics = UniformCompartment(chem_data=chem_data, preset="mid_inclusive") # Note: OVER-WRITING the "dynamics" object # heavy_brakes
dynamics.set_conc(conc=initial_conc, snapshot=True)
dynamics.describe_state()
SYSTEM STATE at Time t = 0: 5 species: Species 0 (A). Conc: 100.0 Species 1 (B). Conc: 0.0 Species 2 (C). Conc: 0.0 Species 3 (E_high). Conc: 1000.0 Species 4 (E_low). Conc: 0.0 Set of chemicals involved in reactions: {'E_high', 'C', 'B', 'E_low', 'A'}
# These will affect the dynamic automated choices of time steps,
# and were specified by the preset used in instantiating the "dynamics" object
dynamics.show_adaptive_parameters()
Parameters used for the automated adaptive time step sizes - 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}] STEP FACTORS: {'upshift': 1.1, 'downshift': 0.5, 'abort': 0.4, 'error': 0.25}
dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()
dynamics.single_compartment_react(initial_step=0.0001, target_end_time=8.0,
variable_steps=True, explain_variable_steps=None)
1911 total step(s) taken Number of step re-do's because of negative concentrations: 16 Number of step re-do's because of elective soft aborts: 114 Norm usage: {'norm_A': 1533, 'norm_B': 1536, 'norm_C': 1620, 'norm_D': 1577}
dynamics.get_history()
SYSTEM TIME | A | B | C | E_high | E_low | caption | |
---|---|---|---|---|---|---|---|
0 | 0.000000 | 100.000000 | 0.000000 | 0.000000 | 1000.000000 | 0.000000 | Initialized state |
1 | 0.000100 | 99.910000 | 0.090000 | 0.000000 | 1000.000000 | 0.000000 | |
2 | 0.000210 | 99.811119 | 0.188802 | 0.000079 | 1000.000000 | 0.000000 | |
3 | 0.000265 | 99.761748 | 0.238094 | 0.000158 | 999.999996 | 0.000004 | |
4 | 0.000293 | 99.737081 | 0.262713 | 0.000206 | 999.999991 | 0.000009 | |
... | ... | ... | ... | ... | ... | ... | ... |
1907 | 7.920378 | 10.018699 | 30.006975 | 59.974327 | 32.331717 | 967.668283 | |
1908 | 7.939029 | 10.018143 | 30.006767 | 59.975090 | 32.329524 | 967.670476 | |
1909 | 7.959545 | 10.017545 | 30.006546 | 59.975909 | 32.327188 | 967.672812 | |
1910 | 7.982112 | 10.016934 | 30.006310 | 59.976756 | 32.324679 | 967.675321 | |
1911 | 8.006936 | 10.016136 | 30.006062 | 59.977802 | 32.322163 | 967.677837 |
1912 rows × 7 columns
dynamics.plot_history(chemicals=["E_high", "E_low"], colors=["red", "grey"])
dynamics.plot_history(chemicals=["A", "B", "C"])
# Show the timestepe taken (vertical dashed lines) in a small section of the plot
dynamics.plot_history(chemicals=["A", "B", "C"], show_intervals=True, xrange=[2.5, 3.5])
dynamics.explain_time_advance() # Notice a lot of timestep adjustments, as needed
From time 0 to 0.0001, in 1 step of 0.0001 From time 0.0001 to 0.00021, in 1 step of 0.00011 From time 0.00021 to 0.000265, in 1 step of 5.5e-05 From time 0.000265 to 0.0002925, in 1 step of 2.75e-05 From time 0.0002925 to 0.0006087, in 23 steps of 1.37e-05 From time 0.0006087 to 0.0006541, in 3 steps of 1.51e-05 From time 0.0006541 to 0.000704, in 3 steps of 1.66e-05 From time 0.000704 to 0.0007589, in 3 steps of 1.83e-05 From time 0.0007589 to 0.0008193, in 3 steps of 2.01e-05 From time 0.0008193 to 0.0008858, in 3 steps of 2.21e-05 From time 0.0008858 to 0.0009588, in 3 steps of 2.44e-05 From time 0.0009588 to 0.001039, in 3 steps of 2.68e-05 From time 0.001039 to 0.001128, in 3 steps of 2.95e-05 From time 0.001128 to 0.001225, in 3 steps of 3.24e-05 From time 0.001225 to 0.001332, in 3 steps of 3.57e-05 From time 0.001332 to 0.00145, in 3 steps of 3.92e-05 From time 0.00145 to 0.001579, in 3 steps of 4.32e-05 From time 0.001579 to 0.001721, in 3 steps of 4.75e-05 From time 0.001721 to 0.001878, in 3 steps of 5.22e-05 From time 0.001878 to 0.00205, in 3 steps of 5.74e-05 From time 0.00205 to 0.00224, in 3 steps of 6.32e-05 From time 0.00224 to 0.002379, in 2 steps of 6.95e-05 From time 0.002379 to 0.002608, in 3 steps of 7.64e-05 From time 0.002608 to 0.002861, in 3 steps of 8.41e-05 From time 0.002861 to 0.003138, in 3 steps of 9.25e-05 From time 0.003138 to 0.003342, in 2 steps of 0.000102 From time 0.003342 to 0.003677, in 3 steps of 0.000112 From time 0.003677 to 0.004047, in 3 steps of 0.000123 From time 0.004047 to 0.004318, in 2 steps of 0.000135 From time 0.004318 to 0.004765, in 3 steps of 0.000149 From time 0.004765 to 0.005092, in 2 steps of 0.000164 From time 0.005092 to 0.005633, in 3 steps of 0.00018 From time 0.005633 to 0.00603, in 2 steps of 0.000198 From time 0.00603 to 0.006684, in 3 steps of 0.000218 From time 0.006684 to 0.007164, in 2 steps of 0.00024 From time 0.007164 to 0.007956, in 3 steps of 0.000264 From time 0.007956 to 0.008536, in 2 steps of 0.00029 From time 0.008536 to 0.009175, in 2 steps of 0.000319 From time 0.009175 to 0.01023, in 3 steps of 0.000351 From time 0.01023 to 0.011, in 2 steps of 0.000386 From time 0.011 to 0.01185, in 2 steps of 0.000425 From time 0.01185 to 0.01325, in 3 steps of 0.000468 From time 0.01325 to 0.01428, in 2 steps of 0.000514 From time 0.01428 to 0.01541, in 2 steps of 0.000566 From time 0.01541 to 0.01728, in 3 steps of 0.000622 From time 0.01728 to 0.01865, in 2 steps of 0.000685 From time 0.01865 to 0.02016, in 2 steps of 0.000753 From time 0.02016 to 0.02181, in 2 steps of 0.000828 From time 0.02181 to 0.02364, in 2 steps of 0.000911 From time 0.02364 to 0.02664, in 3 steps of 0.001 From time 0.02664 to 0.02885, in 2 steps of 0.0011 From time 0.02885 to 0.03127, in 2 steps of 0.00121 From time 0.03127 to 0.03161, in 1 step of 0.000333 From time 0.03161 to 0.03197, in 1 step of 0.000367 From time 0.03197 to 0.03238, in 1 step of 0.000404 From time 0.03238 to 0.03282, in 1 step of 0.000444 From time 0.03282 to 0.03331, in 1 step of 0.000488 From time 0.03331 to 0.03385, in 1 step of 0.000537 From time 0.03385 to 0.03444, in 1 step of 0.000591 From time 0.03444 to 0.03509, in 1 step of 0.00065 From time 0.03509 to 0.0358, in 1 step of 0.000715 From time 0.0358 to 0.03659, in 1 step of 0.000786 From time 0.03659 to 0.03745, in 1 step of 0.000865 From time 0.03745 to 0.0384, in 1 step of 0.000952 From time 0.0384 to 0.03945, in 1 step of 0.00105 From time 0.03945 to 0.0406, in 1 step of 0.00115 From time 0.0406 to 0.04187, in 1 step of 0.00127 From time 0.04187 to 0.04222, in 1 step of 0.000348 From time 0.04222 to 0.0426, in 1 step of 0.000383 From time 0.0426 to 0.04302, in 1 step of 0.000421 From time 0.04302 to 0.04348, in 1 step of 0.000464 From time 0.04348 to 0.04399, in 1 step of 0.00051 From time 0.04399 to 0.04456, in 1 step of 0.000561 From time 0.04456 to 0.04517, in 1 step of 0.000617 From time 0.04517 to 0.04585, in 1 step of 0.000679 From time 0.04585 to 0.0466, in 1 step of 0.000747 From time 0.0466 to 0.04742, in 1 step of 0.000821 From time 0.04742 to 0.04832, in 1 step of 0.000903 From time 0.04832 to 0.04932, in 1 step of 0.000994 From time 0.04932 to 0.05041, in 1 step of 0.00109 From time 0.05041 to 0.05161, in 1 step of 0.0012 From time 0.05161 to 0.05293, in 1 step of 0.00132 From time 0.05293 to 0.0533, in 1 step of 0.000364 From time 0.0533 to 0.0537, in 1 step of 0.0004 From time 0.0537 to 0.05414, in 1 step of 0.00044 From time 0.05414 to 0.05462, in 1 step of 0.000484 From time 0.05462 to 0.05515, in 1 step of 0.000533 From time 0.05515 to 0.05574, in 1 step of 0.000586 From time 0.05574 to 0.05638, in 1 step of 0.000644 From time 0.05638 to 0.05709, in 1 step of 0.000709 From time 0.05709 to 0.05787, in 1 step of 0.00078 From time 0.05787 to 0.05873, in 1 step of 0.000858 From time 0.05873 to 0.05967, in 1 step of 0.000943 From time 0.05967 to 0.06071, in 1 step of 0.00104 From time 0.06071 to 0.06185, in 1 step of 0.00114 From time 0.06185 to 0.06311, in 1 step of 0.00126 From time 0.06311 to 0.06449, in 1 step of 0.00138 From time 0.06449 to 0.06601, in 1 step of 0.00152 From time 0.06601 to 0.06643, in 1 step of 0.000418 From time 0.06643 to 0.06689, in 1 step of 0.00046 From time 0.06689 to 0.06739, in 1 step of 0.000506 From time 0.06739 to 0.06795, in 1 step of 0.000556 From time 0.06795 to 0.06856, in 1 step of 0.000612 From time 0.06856 to 0.06923, in 1 step of 0.000673 From time 0.06923 to 0.06997, in 1 step of 0.00074 From time 0.06997 to 0.07079, in 1 step of 0.000814 From time 0.07079 to 0.07168, in 1 step of 0.000896 From time 0.07168 to 0.07267, in 1 step of 0.000985 From time 0.07267 to 0.07375, in 1 step of 0.00108 From time 0.07375 to 0.07494, in 1 step of 0.00119 From time 0.07494 to 0.07625, in 1 step of 0.00131 From time 0.07625 to 0.0777, in 1 step of 0.00144 From time 0.0777 to 0.07928, in 1 step of 0.00159 From time 0.07928 to 0.07972, in 1 step of 0.000436 From time 0.07972 to 0.0802, in 1 step of 0.00048 From time 0.0802 to 0.08073, in 1 step of 0.000528 From time 0.08073 to 0.08131, in 1 step of 0.000581 From time 0.08131 to 0.08195, in 1 step of 0.000639 From time 0.08195 to 0.08265, in 1 step of 0.000703 From time 0.08265 to 0.08342, in 1 step of 0.000773 From time 0.08342 to 0.08427, in 1 step of 0.00085 From time 0.08427 to 0.08521, in 1 step of 0.000935 From time 0.08521 to 0.08624, in 1 step of 0.00103 From time 0.08624 to 0.08737, in 1 step of 0.00113 From time 0.08737 to 0.08861, in 1 step of 0.00124 From time 0.08861 to 0.08998, in 1 step of 0.00137 From time 0.08998 to 0.09149, in 1 step of 0.00151 From time 0.09149 to 0.09315, in 1 step of 0.00166 From time 0.09315 to 0.0936, in 1 step of 0.000456 From time 0.0936 to 0.0941, in 1 step of 0.000501 From time 0.0941 to 0.09466, in 1 step of 0.000551 From time 0.09466 to 0.09526, in 1 step of 0.000606 From time 0.09526 to 0.09593, in 1 step of 0.000667 From time 0.09593 to 0.09666, in 1 step of 0.000734 From time 0.09666 to 0.09747, in 1 step of 0.000807 From time 0.09747 to 0.09836, in 1 step of 0.000888 From time 0.09836 to 0.09933, in 1 step of 0.000977 From time 0.09933 to 0.1004, in 1 step of 0.00107 From time 0.1004 to 0.1016, in 1 step of 0.00118 From time 0.1016 to 0.1029, in 1 step of 0.0013 From time 0.1029 to 0.1043, in 1 step of 0.00143 From time 0.1043 to 0.1059, in 1 step of 0.00157 From time 0.1059 to 0.1076, in 1 step of 0.00173 From time 0.1076 to 0.1081, in 1 step of 0.000476 From time 0.1081 to 0.1086, in 1 step of 0.000523 From time 0.1086 to 0.1092, in 1 step of 0.000576 From time 0.1092 to 0.1098, in 1 step of 0.000633 From time 0.1098 to 0.1105, in 1 step of 0.000697 From time 0.1105 to 0.1113, in 1 step of 0.000766 From time 0.1113 to 0.1121, in 1 step of 0.000843 From time 0.1121 to 0.1131, in 1 step of 0.000927 From time 0.1131 to 0.1141, in 1 step of 0.00102 From time 0.1141 to 0.1152, in 1 step of 0.00112 From time 0.1152 to 0.1164, in 1 step of 0.00123 From time 0.1164 to 0.1178, in 1 step of 0.00136 From time 0.1178 to 0.1193, in 1 step of 0.00149 From time 0.1193 to 0.1209, in 1 step of 0.00164 From time 0.1209 to 0.1227, in 1 step of 0.00181 From time 0.1227 to 0.1247, in 1 step of 0.00199 From time 0.1247 to 0.1253, in 1 step of 0.000547 From time 0.1253 to 0.1259, in 1 step of 0.000601 From time 0.1259 to 0.1265, in 1 step of 0.000661 From time 0.1265 to 0.1273, in 1 step of 0.000728 From time 0.1273 to 0.1281, in 1 step of 0.0008 From time 0.1281 to 0.1289, in 1 step of 0.00088 From time 0.1289 to 0.1299, in 1 step of 0.000968 From time 0.1299 to 0.131, in 1 step of 0.00107 From time 0.131 to 0.1322, in 1 step of 0.00117 From time 0.1322 to 0.1334, in 1 step of 0.00129 From time 0.1334 to 0.1349, in 1 step of 0.00142 From time 0.1349 to 0.1364, in 1 step of 0.00156 From time 0.1364 to 0.1381, in 1 step of 0.00172 From time 0.1381 to 0.14, in 1 step of 0.00189 From time 0.14 to 0.1421, in 1 step of 0.00208 From time 0.1421 to 0.1427, in 1 step of 0.000571 From time 0.1427 to 0.1433, in 1 step of 0.000628 From time 0.1433 to 0.144, in 1 step of 0.000691 From time 0.144 to 0.1447, in 1 step of 0.00076 From time 0.1447 to 0.1456, in 1 step of 0.000836 From time 0.1456 to 0.1465, in 1 step of 0.000919 From time 0.1465 to 0.1475, in 1 step of 0.00101 From time 0.1475 to 0.1486, in 1 step of 0.00111 From time 0.1486 to 0.1499, in 1 step of 0.00122 From time 0.1499 to 0.1512, in 1 step of 0.00135 From time 0.1512 to 0.1527, in 1 step of 0.00148 From time 0.1527 to 0.1543, in 1 step of 0.00163 From time 0.1543 to 0.1561, in 1 step of 0.00179 From time 0.1561 to 0.1581, in 1 step of 0.00197 From time 0.1581 to 0.1602, in 1 step of 0.00217 From time 0.1602 to 0.1626, in 1 step of 0.00238 From time 0.1626 to 0.1633, in 1 step of 0.000656 From time 0.1633 to 0.164, in 1 step of 0.000721 From time 0.164 to 0.1648, in 1 step of 0.000793 From time 0.1648 to 0.1657, in 1 step of 0.000873 From time 0.1657 to 0.1666, in 1 step of 0.00096 From time 0.1666 to 0.1677, in 1 step of 0.00106 From time 0.1677 to 0.1688, in 1 step of 0.00116 From time 0.1688 to 0.1701, in 1 step of 0.00128 From time 0.1701 to 0.1715, in 1 step of 0.00141 From time 0.1715 to 0.1731, in 1 step of 0.00155 From time 0.1731 to 0.1748, in 1 step of 0.0017 From time 0.1748 to 0.1766, in 1 step of 0.00187 From time 0.1766 to 0.1787, in 1 step of 0.00206 From time 0.1787 to 0.181, in 1 step of 0.00226 From time 0.181 to 0.1835, in 1 step of 0.00249 From time 0.1835 to 0.1841, in 1 step of 0.000685 From time 0.1841 to 0.1849, in 1 step of 0.000753 From time 0.1849 to 0.1857, in 1 step of 0.000829 From time 0.1857 to 0.1866, in 1 step of 0.000911 From time 0.1866 to 0.1876, in 1 step of 0.001 From time 0.1876 to 0.1887, in 1 step of 0.0011 From time 0.1887 to 0.19, in 1 step of 0.00121 From time 0.19 to 0.1913, in 1 step of 0.00133 From time 0.1913 to 0.1928, in 1 step of 0.00147 From time 0.1928 to 0.1944, in 1 step of 0.00161 From time 0.1944 to 0.1961, in 1 step of 0.00178 From time 0.1961 to 0.1981, in 1 step of 0.00195 From time 0.1981 to 0.2002, in 1 step of 0.00215 From time 0.2002 to 0.2026, in 1 step of 0.00236 From time 0.2026 to 0.2052, in 1 step of 0.0026 From time 0.2052 to 0.2081, in 1 step of 0.00286 From time 0.2081 to 0.2089, in 1 step of 0.000787 From time 0.2089 to 0.2097, in 1 step of 0.000865 From time 0.2097 to 0.2107, in 1 step of 0.000952 From time 0.2107 to 0.2117, in 1 step of 0.00105 From time 0.2117 to 0.2129, in 1 step of 0.00115 From time 0.2129 to 0.2141, in 1 step of 0.00127 From time 0.2141 to 0.2155, in 1 step of 0.00139 From time 0.2155 to 0.2171, in 1 step of 0.00153 From time 0.2171 to 0.2188, in 1 step of 0.00169 From time 0.2188 to 0.2206, in 1 step of 0.00185 From time 0.2206 to 0.2227, in 1 step of 0.00204 From time 0.2227 to 0.2249, in 1 step of 0.00224 From time 0.2249 to 0.2274, in 1 step of 0.00247 From time 0.2274 to 0.2301, in 1 step of 0.00272 From time 0.2301 to 0.2331, in 1 step of 0.00299 From time 0.2331 to 0.2339, in 1 step of 0.000822 From time 0.2339 to 0.2348, in 1 step of 0.000904 From time 0.2348 to 0.2358, in 1 step of 0.000994 From time 0.2358 to 0.2369, in 1 step of 0.00109 From time 0.2369 to 0.2381, in 1 step of 0.0012 From time 0.2381 to 0.2394, in 1 step of 0.00132 From time 0.2394 to 0.2409, in 1 step of 0.00146 From time 0.2409 to 0.2425, in 1 step of 0.0016 From time 0.2425 to 0.2442, in 1 step of 0.00176 From time 0.2442 to 0.2462, in 1 step of 0.00194 From time 0.2462 to 0.2483, in 1 step of 0.00213 From time 0.2483 to 0.2506, in 1 step of 0.00234 From time 0.2506 to 0.2532, in 1 step of 0.00258 From time 0.2532 to 0.2561, in 1 step of 0.00284 From time 0.2561 to 0.2592, in 1 step of 0.00312 From time 0.2592 to 0.2626, in 1 step of 0.00343 From time 0.2626 to 0.2635, in 1 step of 0.000944 From time 0.2635 to 0.2646, in 1 step of 0.00104 From time 0.2646 to 0.2657, in 1 step of 0.00114 From time 0.2657 to 0.267, in 1 step of 0.00126 From time 0.267 to 0.2684, in 1 step of 0.00138 From time 0.2684 to 0.2699, in 1 step of 0.00152 From time 0.2699 to 0.2716, in 1 step of 0.00167 From time 0.2716 to 0.2734, in 1 step of 0.00184 From time 0.2734 to 0.2754, in 1 step of 0.00202 From time 0.2754 to 0.2776, in 1 step of 0.00223 From time 0.2776 to 0.2801, in 1 step of 0.00245 From time 0.2801 to 0.2828, in 1 step of 0.00269 From time 0.2828 to 0.2857, in 1 step of 0.00296 From time 0.2857 to 0.289, in 1 step of 0.00326 From time 0.289 to 0.2926, in 1 step of 0.00358 From time 0.2926 to 0.2965, in 1 step of 0.00394 From time 0.2965 to 0.2976, in 1 step of 0.00108 From time 0.2976 to 0.2988, in 1 step of 0.00119 From time 0.2988 to 0.3001, in 1 step of 0.00131 From time 0.3001 to 0.3016, in 1 step of 0.00144 From time 0.3016 to 0.3031, in 1 step of 0.00159 From time 0.3031 to 0.3049, in 1 step of 0.00175 From time 0.3049 to 0.3068, in 1 step of 0.00192 From time 0.3068 to 0.3089, in 1 step of 0.00211 From time 0.3089 to 0.3113, in 1 step of 0.00232 From time 0.3113 to 0.3138, in 1 step of 0.00256 From time 0.3138 to 0.3166, in 1 step of 0.00281 From time 0.3166 to 0.3197, in 1 step of 0.00309 From time 0.3197 to 0.3231, in 1 step of 0.0034 From time 0.3231 to 0.3269, in 1 step of 0.00374 From time 0.3269 to 0.331, in 1 step of 0.00412 From time 0.331 to 0.3321, in 1 step of 0.00113 From time 0.3321 to 0.3334, in 1 step of 0.00125 From time 0.3334 to 0.3347, in 1 step of 0.00137 From time 0.3347 to 0.3362, in 1 step of 0.00151 From time 0.3362 to 0.3379, in 1 step of 0.00166 From time 0.3379 to 0.3397, in 1 step of 0.00182 From time 0.3397 to 0.3417, in 1 step of 0.00201 From time 0.3417 to 0.3439, in 1 step of 0.00221 From time 0.3439 to 0.3463, in 1 step of 0.00243 From time 0.3463 to 0.349, in 1 step of 0.00267 From time 0.349 to 0.352, in 1 step of 0.00294 From time 0.352 to 0.3552, in 1 step of 0.00323 From time 0.3552 to 0.3587, in 1 step of 0.00355 From time 0.3587 to 0.3626, in 1 step of 0.00391 From time 0.3626 to 0.3669, in 1 step of 0.0043 From time 0.3669 to 0.4095, in 9 steps of 0.00473 From time 0.4095 to 0.4101, in 2 steps of 0.000303 From time 0.4101 to 0.4104, in 1 step of 0.000333 From time 0.4104 to 0.4108, in 1 step of 0.000366 From time 0.4108 to 0.4112, in 1 step of 0.000403 From time 0.4112 to 0.4117, in 1 step of 0.000443 From time 0.4117 to 0.4121, in 1 step of 0.000487 From time 0.4121 to 0.4127, in 1 step of 0.000536 From time 0.4127 to 0.4133, in 1 step of 0.00059 From time 0.4133 to 0.4139, in 1 step of 0.000649 From time 0.4139 to 0.4146, in 1 step of 0.000714 From time 0.4146 to 0.4154, in 1 step of 0.000785 From time 0.4154 to 0.4163, in 1 step of 0.000864 From time 0.4163 to 0.4172, in 1 step of 0.00095 From time 0.4172 to 0.4183, in 1 step of 0.00104 From time 0.4183 to 0.4194, in 1 step of 0.00115 From time 0.4194 to 0.4207, in 1 step of 0.00126 From time 0.4207 to 0.4221, in 1 step of 0.00139 From time 0.4221 to 0.4236, in 1 step of 0.00153 From time 0.4236 to 0.4253, in 1 step of 0.00168 From time 0.4253 to 0.4271, in 1 step of 0.00185 From time 0.4271 to 0.4292, in 1 step of 0.00204 From time 0.4292 to 0.4314, in 1 step of 0.00224 From time 0.4314 to 0.4339, in 1 step of 0.00246 From time 0.4339 to 0.4366, in 1 step of 0.00271 From time 0.4366 to 0.4396, in 1 step of 0.00298 From time 0.4396 to 0.4429, in 1 step of 0.00328 From time 0.4429 to 0.4465, in 1 step of 0.00361 From time 0.4465 to 0.4504, in 1 step of 0.00397 From time 0.4504 to 0.4548, in 1 step of 0.00436 From time 0.4548 to 0.498, in 9 steps of 0.0048 From time 0.498 to 0.5019, in 2 steps of 0.00192 From time 0.5019 to 0.502, in 1 step of 0.000135 From time 0.502 to 0.5021, in 1 step of 0.000149 From time 0.5021 to 0.5023, in 1 step of 0.000164 From time 0.5023 to 0.5025, in 1 step of 0.00018 From time 0.5025 to 0.5027, in 1 step of 0.000198 From time 0.5027 to 0.5029, in 1 step of 0.000218 From time 0.5029 to 0.5031, in 1 step of 0.00024 From time 0.5031 to 0.5034, in 1 step of 0.000263 From time 0.5034 to 0.5037, in 1 step of 0.00029 From time 0.5037 to 0.504, in 1 step of 0.000319 From time 0.504 to 0.5044, in 1 step of 0.000351 From time 0.5044 to 0.5047, in 1 step of 0.000386 From time 0.5047 to 0.5052, in 1 step of 0.000424 From time 0.5052 to 0.5056, in 1 step of 0.000467 From time 0.5056 to 0.5061, in 1 step of 0.000513 From time 0.5061 to 0.5067, in 1 step of 0.000565 From time 0.5067 to 0.5073, in 1 step of 0.000621 From time 0.5073 to 0.508, in 1 step of 0.000683 From time 0.508 to 0.5088, in 1 step of 0.000752 From time 0.5088 to 0.5096, in 1 step of 0.000827 From time 0.5096 to 0.5105, in 1 step of 0.00091 From time 0.5105 to 0.5115, in 1 step of 0.001 From time 0.5115 to 0.5126, in 1 step of 0.0011 From time 0.5126 to 0.5138, in 1 step of 0.00121 From time 0.5138 to 0.5151, in 1 step of 0.00133 From time 0.5151 to 0.5166, in 1 step of 0.00146 From time 0.5166 to 0.5182, in 1 step of 0.00161 From time 0.5182 to 0.52, in 1 step of 0.00177 From time 0.52 to 0.5219, in 1 step of 0.00195 From time 0.5219 to 0.5241, in 1 step of 0.00214 From time 0.5241 to 0.5265, in 1 step of 0.00236 From time 0.5265 to 0.529, in 1 step of 0.0026 From time 0.529 to 0.5319, in 1 step of 0.00285 From time 0.5319 to 0.535, in 1 step of 0.00314 From time 0.535 to 0.5385, in 1 step of 0.00345 From time 0.5385 to 0.5423, in 1 step of 0.0038 From time 0.5423 to 0.5465, in 1 step of 0.00418 From time 0.5465 to 0.5511, in 1 step of 0.0046 From time 0.5511 to 0.5966, in 9 steps of 0.00506 From time 0.5966 to 0.5982, in 2 steps of 0.000809 From time 0.5982 to 0.5991, in 1 step of 0.00089 From time 0.5991 to 0.6001, in 1 step of 0.000979 From time 0.6001 to 0.6012, in 1 step of 0.00108 From time 0.6012 to 0.6023, in 1 step of 0.00118 From time 0.6023 to 0.6036, in 1 step of 0.0013 From time 0.6036 to 0.6051, in 1 step of 0.00143 From time 0.6051 to 0.6066, in 1 step of 0.00158 From time 0.6066 to 0.6084, in 1 step of 0.00173 From time 0.6084 to 0.6103, in 1 step of 0.00191 From time 0.6103 to 0.6124, in 1 step of 0.0021 From time 0.6124 to 0.6147, in 1 step of 0.00231 From time 0.6147 to 0.6172, in 1 step of 0.00254 From time 0.6172 to 0.62, in 1 step of 0.00279 From time 0.62 to 0.6231, in 1 step of 0.00307 From time 0.6231 to 0.6265, in 1 step of 0.00338 From time 0.6265 to 0.6302, in 1 step of 0.00372 From time 0.6302 to 0.6343, in 1 step of 0.00409 From time 0.6343 to 0.6388, in 1 step of 0.0045 From time 0.6388 to 0.6833, in 9 steps of 0.00495 From time 0.6833 to 0.6853, in 1 step of 0.00198 From time 0.6853 to 0.6875, in 1 step of 0.00218 From time 0.6875 to 0.6876, in 1 step of 0.000153 From time 0.6876 to 0.6878, in 1 step of 0.000169 From time 0.6878 to 0.688, in 1 step of 0.000185 From time 0.688 to 0.6882, in 1 step of 0.000204 From time 0.6882 to 0.6884, in 1 step of 0.000224 From time 0.6884 to 0.6887, in 1 step of 0.000247 From time 0.6887 to 0.6889, in 1 step of 0.000272 From time 0.6889 to 0.6892, in 1 step of 0.000299 From time 0.6892 to 0.6896, in 1 step of 0.000329 From time 0.6896 to 0.6899, in 1 step of 0.000361 From time 0.6899 to 0.6903, in 1 step of 0.000398 From time 0.6903 to 0.6908, in 1 step of 0.000437 From time 0.6908 to 0.6912, in 1 step of 0.000481 From time 0.6912 to 0.6918, in 1 step of 0.000529 From time 0.6918 to 0.6924, in 1 step of 0.000582 From time 0.6924 to 0.693, in 1 step of 0.00064 From time 0.693 to 0.6937, in 1 step of 0.000704 From time 0.6937 to 0.6945, in 1 step of 0.000775 From time 0.6945 to 0.6953, in 1 step of 0.000852 From time 0.6953 to 0.6963, in 1 step of 0.000938 From time 0.6963 to 0.6973, in 1 step of 0.00103 From time 0.6973 to 0.6984, in 1 step of 0.00113 From time 0.6984 to 0.6997, in 1 step of 0.00125 From time 0.6997 to 0.7011, in 1 step of 0.00137 From time 0.7011 to 0.7026, in 1 step of 0.00151 From time 0.7026 to 0.7042, in 1 step of 0.00166 From time 0.7042 to 0.7061, in 1 step of 0.00183 From time 0.7061 to 0.7081, in 1 step of 0.00201 From time 0.7081 to 0.7103, in 1 step of 0.00221 From time 0.7103 to 0.7127, in 1 step of 0.00243 From time 0.7127 to 0.7154, in 1 step of 0.00267 From time 0.7154 to 0.7183, in 1 step of 0.00294 From time 0.7183 to 0.7216, in 1 step of 0.00324 From time 0.7216 to 0.7251, in 1 step of 0.00356 From time 0.7251 to 0.729, in 1 step of 0.00392 From time 0.729 to 0.7333, in 1 step of 0.00431 From time 0.7333 to 0.7381, in 1 step of 0.00474 From time 0.7381 to 0.785, in 9 steps of 0.00521 From time 0.785 to 0.7871, in 1 step of 0.00209 From time 0.7871 to 0.7881, in 1 step of 0.00104 From time 0.7881 to 0.7886, in 1 step of 0.000459 From time 0.7886 to 0.7888, in 1 step of 0.000229 From time 0.7888 to 0.7891, in 1 step of 0.000252 From time 0.7891 to 0.7893, in 1 step of 0.000278 From time 0.7893 to 0.7896, in 1 step of 0.000305 From time 0.7896 to 0.79, in 1 step of 0.000336 From time 0.79 to 0.7903, in 1 step of 0.000369 From time 0.7903 to 0.7908, in 1 step of 0.000406 From time 0.7908 to 0.7912, in 1 step of 0.000447 From time 0.7912 to 0.7917, in 1 step of 0.000492 From time 0.7917 to 0.7922, in 1 step of 0.000541 From time 0.7922 to 0.7928, in 1 step of 0.000595 From time 0.7928 to 0.7935, in 1 step of 0.000654 From time 0.7935 to 0.7942, in 1 step of 0.00072 From time 0.7942 to 0.795, in 1 step of 0.000792 From time 0.795 to 0.7959, in 1 step of 0.000871 From time 0.7959 to 0.7968, in 1 step of 0.000958 From time 0.7968 to 0.7979, in 1 step of 0.00105 From time 0.7979 to 0.799, in 1 step of 0.00116 From time 0.799 to 0.8003, in 1 step of 0.00128 From time 0.8003 to 0.8017, in 1 step of 0.0014 From time 0.8017 to 0.8033, in 1 step of 0.00154 From time 0.8033 to 0.805, in 1 step of 0.0017 From time 0.805 to 0.8068, in 1 step of 0.00187 From time 0.8068 to 0.8089, in 1 step of 0.00205 From time 0.8089 to 0.8111, in 1 step of 0.00226 From time 0.8111 to 0.8136, in 1 step of 0.00248 From time 0.8136 to 0.8164, in 1 step of 0.00273 From time 0.8164 to 0.8194, in 1 step of 0.00301 From time 0.8194 to 0.8227, in 1 step of 0.00331 From time 0.8227 to 0.8263, in 1 step of 0.00364 From time 0.8263 to 0.8303, in 1 step of 0.004 From time 0.8303 to 0.8347, in 1 step of 0.0044 From time 0.8347 to 0.888, in 11 steps of 0.00484 From time 0.888 to 0.8888, in 1 step of 0.000775 From time 0.8888 to 0.8891, in 1 step of 0.000387 From time 0.8891 to 0.8896, in 1 step of 0.000426 From time 0.8896 to 0.89, in 1 step of 0.000469 From time 0.89 to 0.8906, in 1 step of 0.000516 From time 0.8906 to 0.8911, in 1 step of 0.000567 From time 0.8911 to 0.8917, in 1 step of 0.000624 From time 0.8917 to 0.8924, in 1 step of 0.000686 From time 0.8924 to 0.8932, in 1 step of 0.000755 From time 0.8932 to 0.894, in 1 step of 0.00083 From time 0.894 to 0.8949, in 1 step of 0.000913 From time 0.8949 to 0.8959, in 1 step of 0.001 From time 0.8959 to 0.897, in 1 step of 0.00111 From time 0.897 to 0.8983, in 1 step of 0.00122 From time 0.8983 to 0.8996, in 1 step of 0.00134 From time 0.8996 to 0.9011, in 1 step of 0.00147 From time 0.9011 to 0.9027, in 1 step of 0.00162 From time 0.9027 to 0.9045, in 1 step of 0.00178 From time 0.9045 to 0.9064, in 1 step of 0.00196 From time 0.9064 to 0.9086, in 1 step of 0.00215 From time 0.9086 to 0.9109, in 1 step of 0.00237 From time 0.9109 to 0.9135, in 1 step of 0.00261 From time 0.9135 to 0.9164, in 1 step of 0.00287 From time 0.9164 to 0.9196, in 1 step of 0.00315 From time 0.9196 to 0.923, in 1 step of 0.00347 From time 0.923 to 0.9269, in 1 step of 0.00382 From time 0.9269 to 0.931, in 1 step of 0.0042 From time 0.931 to 0.9357, in 1 step of 0.00462 From time 0.9357 to 0.9915, in 11 steps of 0.00508 From time 0.9915 to 0.9932, in 2 steps of 0.000813 From time 0.9932 to 0.9941, in 1 step of 0.000894 From time 0.9941 to 0.995, in 1 step of 0.000983 From time 0.995 to 0.9961, in 1 step of 0.00108 From time 0.9961 to 0.9973, in 1 step of 0.00119 From time 0.9973 to 0.9986, in 1 step of 0.00131 From time 0.9986 to 1, in 1 step of 0.00144 From time 1 to 1.002, in 1 step of 0.00158 From time 1.002 to 1.003, in 1 step of 0.00174 From time 1.003 to 1.005, in 1 step of 0.00192 From time 1.005 to 1.007, in 1 step of 0.00211 From time 1.007 to 1.01, in 1 step of 0.00232 From time 1.01 to 1.012, in 1 step of 0.00255 From time 1.012 to 1.015, in 1 step of 0.00281 From time 1.015 to 1.018, in 1 step of 0.00309 From time 1.018 to 1.022, in 1 step of 0.00339 From time 1.022 to 1.025, in 1 step of 0.00373 From time 1.025 to 1.029, in 1 step of 0.00411 From time 1.029 to 1.034, in 1 step of 0.00452 From time 1.034 to 1.084, in 10 steps of 0.00497 From time 1.084 to 1.089, in 1 step of 0.00547 From time 1.089 to 1.089, in 1 step of 1.16e-05 From time 1.089 to 1.089, in 1 step of 1.28e-05 From time 1.089 to 1.089, in 1 step of 1.41e-05 From time 1.089 to 1.089, in 1 step of 1.55e-05 From time 1.089 to 1.089, in 1 step of 1.7e-05 From time 1.089 to 1.089, in 1 step of 1.87e-05 From time 1.089 to 1.089, in 1 step of 2.06e-05 From time 1.089 to 1.089, in 1 step of 2.26e-05 From time 1.089 to 1.089, in 1 step of 2.49e-05 From time 1.089 to 1.089, in 1 step of 2.74e-05 From time 1.089 to 1.089, in 1 step of 3.01e-05 From time 1.089 to 1.089, in 1 step of 3.31e-05 From time 1.089 to 1.089, in 1 step of 3.65e-05 From time 1.089 to 1.089, in 1 step of 4.01e-05 From time 1.089 to 1.09, in 1 step of 4.41e-05 From time 1.09 to 1.09, in 1 step of 4.85e-05 From time 1.09 to 1.09, in 1 step of 5.34e-05 From time 1.09 to 1.09, in 1 step of 5.87e-05 From time 1.09 to 1.09, in 1 step of 6.46e-05 From time 1.09 to 1.09, in 1 step of 7.1e-05 From time 1.09 to 1.09, in 1 step of 7.81e-05 From time 1.09 to 1.09, in 1 step of 8.6e-05 From time 1.09 to 1.09, in 1 step of 9.46e-05 From time 1.09 to 1.09, in 1 step of 0.000104 From time 1.09 to 1.09, in 1 step of 0.000114 From time 1.09 to 1.09, in 1 step of 0.000126 From time 1.09 to 1.091, in 1 step of 0.000138 From time 1.091 to 1.091, in 1 step of 0.000152 From time 1.091 to 1.091, in 1 step of 0.000168 From time 1.091 to 1.091, in 1 step of 0.000184 From time 1.091 to 1.091, in 1 step of 0.000203 From time 1.091 to 1.092, in 1 step of 0.000223 From time 1.092 to 1.092, in 1 step of 0.000245 From time 1.092 to 1.092, in 1 step of 0.00027 From time 1.092 to 1.092, in 1 step of 0.000297 From time 1.092 to 1.093, in 1 step of 0.000326 From time 1.093 to 1.093, in 1 step of 0.000359 From time 1.093 to 1.093, in 1 step of 0.000395 From time 1.093 to 1.094, in 1 step of 0.000434 From time 1.094 to 1.094, in 1 step of 0.000478 From time 1.094 to 1.095, in 1 step of 0.000526 From time 1.095 to 1.095, in 1 step of 0.000578 From time 1.095 to 1.096, in 1 step of 0.000636 From time 1.096 to 1.097, in 1 step of 0.0007 From time 1.097 to 1.098, in 1 step of 0.00077 From time 1.098 to 1.098, in 1 step of 0.000847 From time 1.098 to 1.099, in 1 step of 0.000931 From time 1.099 to 1.1, in 1 step of 0.00102 From time 1.1 to 1.101, in 1 step of 0.00113 From time 1.101 to 1.103, in 1 step of 0.00124 From time 1.103 to 1.104, in 1 step of 0.00136 From time 1.104 to 1.106, in 1 step of 0.0015 From time 1.106 to 1.107, in 1 step of 0.00165 From time 1.107 to 1.109, in 1 step of 0.00181 From time 1.109 to 1.111, in 1 step of 0.002 From time 1.111 to 1.113, in 1 step of 0.0022 From time 1.113 to 1.116, in 1 step of 0.00242 From time 1.116 to 1.118, in 1 step of 0.00266 From time 1.118 to 1.121, in 1 step of 0.00292 From time 1.121 to 1.124, in 1 step of 0.00322 From time 1.124 to 1.128, in 1 step of 0.00354 From time 1.128 to 1.132, in 1 step of 0.00389 From time 1.132 to 1.136, in 1 step of 0.00428 From time 1.136 to 1.141, in 1 step of 0.00471 From time 1.141 to 1.198, in 11 steps of 0.00518 From time 1.198 to 1.198, in 1 step of 0.000133 From time 1.198 to 1.198, in 1 step of 0.000146 From time 1.198 to 1.198, in 1 step of 0.00016 From time 1.198 to 1.198, in 1 step of 0.000176 From time 1.198 to 1.199, in 1 step of 0.000194 From time 1.199 to 1.199, in 1 step of 0.000213 From time 1.199 to 1.199, in 1 step of 0.000235 From time 1.199 to 1.199, in 1 step of 0.000258 From time 1.199 to 1.2, in 1 step of 0.000284 From time 1.2 to 1.2, in 1 step of 0.000313 From time 1.2 to 1.2, in 1 step of 0.000344 From time 1.2 to 1.201, in 1 step of 0.000378 From time 1.201 to 1.201, in 1 step of 0.000416 From time 1.201 to 1.201, in 1 step of 0.000458 From time 1.201 to 1.202, in 1 step of 0.000503 From time 1.202 to 1.203, in 1 step of 0.000554 From time 1.203 to 1.203, in 1 step of 0.000609 From time 1.203 to 1.204, in 1 step of 0.00067 From time 1.204 to 1.205, in 1 step of 0.000737 From time 1.205 to 1.205, in 1 step of 0.000811 From time 1.205 to 1.206, in 1 step of 0.000892 From time 1.206 to 1.207, in 1 step of 0.000981 From time 1.207 to 1.208, in 1 step of 0.00108 From time 1.208 to 1.21, in 1 step of 0.00119 From time 1.21 to 1.211, in 1 step of 0.00131 From time 1.211 to 1.212, in 1 step of 0.00144 From time 1.212 to 1.214, in 1 step of 0.00158 From time 1.214 to 1.216, in 1 step of 0.00174 From time 1.216 to 1.217, in 1 step of 0.00191 From time 1.217 to 1.22, in 1 step of 0.0021 From time 1.22 to 1.222, in 1 step of 0.00231 From time 1.222 to 1.224, in 1 step of 0.00254 From time 1.224 to 1.227, in 1 step of 0.0028 From time 1.227 to 1.23, in 1 step of 0.00308 From time 1.23 to 1.234, in 1 step of 0.00339 From time 1.234 to 1.237, in 1 step of 0.00373 From time 1.237 to 1.242, in 1 step of 0.0041 From time 1.242 to 1.246, in 1 step of 0.00451 From time 1.246 to 1.251, in 1 step of 0.00496 From time 1.251 to 1.311, in 11 steps of 0.00545 From time 1.311 to 1.311, in 1 step of 0.000349 From time 1.311 to 1.312, in 1 step of 0.000384 From time 1.312 to 1.312, in 1 step of 0.000422 From time 1.312 to 1.313, in 1 step of 0.000465 From time 1.313 to 1.313, in 1 step of 0.000511 From time 1.313 to 1.314, in 1 step of 0.000562 From time 1.314 to 1.314, in 1 step of 0.000618 From time 1.314 to 1.315, in 1 step of 0.00068 From time 1.315 to 1.316, in 1 step of 0.000748 From time 1.316 to 1.317, in 1 step of 0.000823 From time 1.317 to 1.317, in 1 step of 0.000905 From time 1.317 to 1.318, in 1 step of 0.000996 From time 1.318 to 1.32, in 1 step of 0.0011 From time 1.32 to 1.321, in 1 step of 0.00121 From time 1.321 to 1.322, in 1 step of 0.00133 From time 1.322 to 1.324, in 1 step of 0.00146 From time 1.324 to 1.325, in 1 step of 0.0016 From time 1.325 to 1.327, in 1 step of 0.00176 From time 1.327 to 1.329, in 1 step of 0.00194 From time 1.329 to 1.331, in 1 step of 0.00213 From time 1.331 to 1.333, in 1 step of 0.00235 From time 1.333 to 1.336, in 1 step of 0.00258 From time 1.336 to 1.339, in 1 step of 0.00284 From time 1.339 to 1.342, in 1 step of 0.00313 From time 1.342 to 1.345, in 1 step of 0.00344 From time 1.345 to 1.349, in 1 step of 0.00378 From time 1.349 to 1.353, in 1 step of 0.00416 From time 1.353 to 1.358, in 1 step of 0.00458 From time 1.358 to 1.363, in 1 step of 0.00503 From time 1.363 to 1.424, in 11 steps of 0.00554 From time 1.424 to 1.424, in 2 steps of 0.000142 From time 1.424 to 1.424, in 1 step of 0.000156 From time 1.424 to 1.424, in 1 step of 0.000172 From time 1.424 to 1.425, in 1 step of 0.000189 From time 1.425 to 1.425, in 1 step of 0.000208 From time 1.425 to 1.425, in 1 step of 0.000228 From time 1.425 to 1.425, in 1 step of 0.000251 From time 1.425 to 1.426, in 1 step of 0.000276 From time 1.426 to 1.426, in 1 step of 0.000304 From time 1.426 to 1.426, in 1 step of 0.000334 From time 1.426 to 1.427, in 1 step of 0.000368 From time 1.427 to 1.427, in 1 step of 0.000404 From time 1.427 to 1.427, in 1 step of 0.000445 From time 1.427 to 1.428, in 1 step of 0.000489 From time 1.428 to 1.428, in 1 step of 0.000538 From time 1.428 to 1.429, in 1 step of 0.000592 From time 1.429 to 1.43, in 1 step of 0.000651 From time 1.43 to 1.43, in 1 step of 0.000717 From time 1.43 to 1.431, in 1 step of 0.000788 From time 1.431 to 1.432, in 1 step of 0.000867 From time 1.432 to 1.433, in 1 step of 0.000954 From time 1.433 to 1.434, in 1 step of 0.00105 From time 1.434 to 1.435, in 1 step of 0.00115 From time 1.435 to 1.436, in 1 step of 0.00127 From time 1.436 to 1.438, in 1 step of 0.0014 From time 1.438 to 1.439, in 1 step of 0.00154 From time 1.439 to 1.441, in 1 step of 0.00169 From time 1.441 to 1.443, in 1 step of 0.00186 From time 1.443 to 1.445, in 1 step of 0.00204 From time 1.445 to 1.447, in 1 step of 0.00225 From time 1.447 to 1.45, in 1 step of 0.00247 From time 1.45 to 1.452, in 1 step of 0.00272 From time 1.452 to 1.455, in 1 step of 0.00299 From time 1.455 to 1.459, in 1 step of 0.00329 From time 1.459 to 1.462, in 1 step of 0.00362 From time 1.462 to 1.466, in 1 step of 0.00398 From time 1.466 to 1.471, in 1 step of 0.00438 From time 1.471 to 1.476, in 1 step of 0.00482 From time 1.476 to 1.481, in 1 step of 0.0053 From time 1.481 to 1.545, in 11 steps of 0.00583 From time 1.545 to 1.545, in 1 step of 0.000373 From time 1.545 to 1.546, in 1 step of 0.000411 From time 1.546 to 1.546, in 1 step of 0.000452 From time 1.546 to 1.547, in 1 step of 0.000497 From time 1.547 to 1.547, in 1 step of 0.000547 From time 1.547 to 1.548, in 1 step of 0.000601 From time 1.548 to 1.549, in 1 step of 0.000661 From time 1.549 to 1.549, in 1 step of 0.000727 From time 1.549 to 1.55, in 1 step of 0.0008 From time 1.55 to 1.551, in 1 step of 0.00088 From time 1.551 to 1.552, in 1 step of 0.000968 From time 1.552 to 1.553, in 1 step of 0.00107 From time 1.553 to 1.554, in 1 step of 0.00117 From time 1.554 to 1.555, in 1 step of 0.00129 From time 1.555 to 1.557, in 1 step of 0.00142 From time 1.557 to 1.558, in 1 step of 0.00156 From time 1.558 to 1.56, in 1 step of 0.00172 From time 1.56 to 1.562, in 1 step of 0.00189 From time 1.562 to 1.564, in 1 step of 0.00208 From time 1.564 to 1.566, in 1 step of 0.00228 From time 1.566 to 1.569, in 1 step of 0.00251 From time 1.569 to 1.572, in 1 step of 0.00276 From time 1.572 to 1.575, in 1 step of 0.00304 From time 1.575 to 1.578, in 1 step of 0.00334 From time 1.578 to 1.582, in 1 step of 0.00368 From time 1.582 to 1.586, in 1 step of 0.00404 From time 1.586 to 1.59, in 1 step of 0.00445 From time 1.59 to 1.595, in 1 step of 0.00489 From time 1.595 to 1.6, in 1 step of 0.00538 From time 1.6 to 1.666, in 11 steps of 0.00592 From time 1.666 to 1.666, in 2 steps of 0.000379 From time 1.666 to 1.667, in 1 step of 0.000417 From time 1.667 to 1.667, in 1 step of 0.000459 From time 1.667 to 1.668, in 1 step of 0.000504 From time 1.668 to 1.668, in 1 step of 0.000555 From time 1.668 to 1.669, in 1 step of 0.00061 From time 1.669 to 1.67, in 1 step of 0.000671 From time 1.67 to 1.67, in 1 step of 0.000739 From time 1.67 to 1.671, in 1 step of 0.000812 From time 1.671 to 1.672, in 1 step of 0.000894 From time 1.672 to 1.673, in 1 step of 0.000983 From time 1.673 to 1.674, in 1 step of 0.00108 From time 1.674 to 1.675, in 1 step of 0.00119 From time 1.675 to 1.677, in 1 step of 0.00131 From time 1.677 to 1.678, in 1 step of 0.00144 From time 1.678 to 1.68, in 1 step of 0.00158 From time 1.68 to 1.681, in 1 step of 0.00174 From time 1.681 to 1.683, in 1 step of 0.00192 From time 1.683 to 1.685, in 1 step of 0.00211 From time 1.685 to 1.688, in 1 step of 0.00232 From time 1.688 to 1.69, in 1 step of 0.00255 From time 1.69 to 1.693, in 1 step of 0.0028 From time 1.693 to 1.696, in 1 step of 0.00308 From time 1.696 to 1.7, in 1 step of 0.00339 From time 1.7 to 1.703, in 1 step of 0.00373 From time 1.703 to 1.707, in 1 step of 0.00411 From time 1.707 to 1.712, in 1 step of 0.00452 From time 1.712 to 1.717, in 1 step of 0.00497 From time 1.717 to 1.722, in 1 step of 0.00547 From time 1.722 to 1.788, in 11 steps of 0.00601 From time 1.788 to 1.79, in 2 steps of 0.000962 From time 1.79 to 1.791, in 1 step of 0.00106 From time 1.791 to 1.793, in 1 step of 0.00116 From time 1.793 to 1.794, in 1 step of 0.00128 From time 1.794 to 1.795, in 1 step of 0.00141 From time 1.795 to 1.797, in 1 step of 0.00155 From time 1.797 to 1.799, in 1 step of 0.0017 From time 1.799 to 1.8, in 1 step of 0.00187 From time 1.8 to 1.802, in 1 step of 0.00206 From time 1.802 to 1.805, in 1 step of 0.00227 From time 1.805 to 1.807, in 1 step of 0.00249 From time 1.807 to 1.81, in 1 step of 0.00274 From time 1.81 to 1.813, in 1 step of 0.00302 From time 1.813 to 1.816, in 1 step of 0.00332 From time 1.816 to 1.82, in 1 step of 0.00365 From time 1.82 to 1.824, in 1 step of 0.00402 From time 1.824 to 1.828, in 1 step of 0.00442 From time 1.828 to 1.833, in 1 step of 0.00486 From time 1.833 to 1.839, in 1 step of 0.00535 From time 1.839 to 1.897, in 10 steps of 0.00588 From time 1.897 to 1.91, in 2 steps of 0.00647 From time 1.91 to 1.914, in 1 step of 0.00324 From time 1.914 to 1.916, in 2 steps of 0.00142 From time 1.916 to 1.918, in 1 step of 0.00157 From time 1.918 to 1.92, in 1 step of 0.00172 From time 1.92 to 1.922, in 1 step of 0.00189 From time 1.922 to 1.924, in 1 step of 0.00208 From time 1.924 to 1.926, in 1 step of 0.00229 From time 1.926 to 1.929, in 1 step of 0.00252 From time 1.929 to 1.931, in 1 step of 0.00277 From time 1.931 to 1.934, in 1 step of 0.00305 From time 1.934 to 1.938, in 1 step of 0.00336 From time 1.938 to 1.941, in 1 step of 0.00369 From time 1.941 to 1.946, in 1 step of 0.00406 From time 1.946 to 1.95, in 1 step of 0.00447 From time 1.95 to 1.955, in 1 step of 0.00491 From time 1.955 to 1.96, in 1 step of 0.00541 From time 1.96 to 1.966, in 1 step of 0.00595 From time 1.966 to 2.038, in 11 steps of 0.00654 From time 2.038 to 2.039, in 1 step of 0.000419 From time 2.039 to 2.039, in 1 step of 0.000461 From time 2.039 to 2.04, in 1 step of 0.000507 From time 2.04 to 2.04, in 1 step of 0.000557 From time 2.04 to 2.041, in 1 step of 0.000613 From time 2.041 to 2.041, in 1 step of 0.000674 From time 2.041 to 2.042, in 1 step of 0.000742 From time 2.042 to 2.043, in 1 step of 0.000816 From time 2.043 to 2.044, in 1 step of 0.000897 From time 2.044 to 2.045, in 1 step of 0.000987 From time 2.045 to 2.046, in 1 step of 0.00109 From time 2.046 to 2.047, in 1 step of 0.00119 From time 2.047 to 2.048, in 1 step of 0.00131 From time 2.048 to 2.05, in 1 step of 0.00145 From time 2.05 to 2.051, in 1 step of 0.00159 From time 2.051 to 2.053, in 1 step of 0.00175 From time 2.053 to 2.055, in 1 step of 0.00192 From time 2.055 to 2.057, in 1 step of 0.00212 From time 2.057 to 2.06, in 1 step of 0.00233 From time 2.06 to 2.062, in 1 step of 0.00256 From time 2.062 to 2.065, in 1 step of 0.00282 From time 2.065 to 2.068, in 1 step of 0.0031 From time 2.068 to 2.071, in 1 step of 0.00341 From time 2.071 to 2.075, in 1 step of 0.00375 From time 2.075 to 2.079, in 1 step of 0.00412 From time 2.079 to 2.084, in 1 step of 0.00454 From time 2.084 to 2.089, in 1 step of 0.00499 From time 2.089 to 2.094, in 1 step of 0.00549 From time 2.094 to 2.1, in 1 step of 0.00604 From time 2.1 to 2.173, in 11 steps of 0.00664 From time 2.173 to 2.176, in 1 step of 0.00266 From time 2.176 to 2.179, in 1 step of 0.00292 From time 2.179 to 2.185, in 2 steps of 0.00321 From time 2.185 to 2.189, in 1 step of 0.00354 From time 2.189 to 2.193, in 1 step of 0.00389 From time 2.193 to 2.197, in 1 step of 0.00428 From time 2.197 to 2.202, in 1 step of 0.00471 From time 2.202 to 2.207, in 1 step of 0.00518 From time 2.207 to 2.213, in 1 step of 0.00569 From time 2.213 to 2.219, in 1 step of 0.00626 From time 2.219 to 2.226, in 1 step of 0.00689 From time 2.226 to 2.229, in 1 step of 0.00276 From time 2.229 to 2.232, in 1 step of 0.00303 From time 2.232 to 2.238, in 2 steps of 0.00333 From time 2.238 to 2.242, in 1 step of 0.00367 From time 2.242 to 2.246, in 1 step of 0.00404 From time 2.246 to 2.251, in 1 step of 0.00444 From time 2.251 to 2.255, in 1 step of 0.00488 From time 2.255 to 2.261, in 1 step of 0.00537 From time 2.261 to 2.267, in 1 step of 0.00591 From time 2.267 to 2.28, in 2 steps of 0.0065 From time 2.28 to 2.282, in 1 step of 0.0026 From time 2.282 to 2.285, in 1 step of 0.00286 From time 2.285 to 2.291, in 2 steps of 0.00315 From time 2.291 to 2.295, in 1 step of 0.00346 From time 2.295 to 2.299, in 1 step of 0.00381 From time 2.299 to 2.303, in 1 step of 0.00419 From time 2.303 to 2.307, in 1 step of 0.00461 From time 2.307 to 2.313, in 1 step of 0.00507 From time 2.313 to 2.318, in 1 step of 0.00557 From time 2.318 to 2.324, in 1 step of 0.00613 From time 2.324 to 2.331, in 1 step of 0.00674 From time 2.331 to 2.346, in 2 steps of 0.00742 From time 2.346 to 2.349, in 1 step of 0.00297 From time 2.349 to 2.352, in 1 step of 0.00326 From time 2.352 to 2.353, in 1 step of 0.00144 From time 2.353 to 2.355, in 1 step of 0.00158 From time 2.355 to 2.357, in 1 step of 0.00174 From time 2.357 to 2.359, in 1 step of 0.00191 From time 2.359 to 2.361, in 1 step of 0.0021 From time 2.361 to 2.363, in 1 step of 0.00231 From time 2.363 to 2.366, in 1 step of 0.00254 From time 2.366 to 2.368, in 1 step of 0.0028 From time 2.368 to 2.372, in 1 step of 0.00308 From time 2.372 to 2.375, in 1 step of 0.00339 From time 2.375 to 2.379, in 1 step of 0.00372 From time 2.379 to 2.383, in 1 step of 0.0041 From time 2.383 to 2.387, in 1 step of 0.00451 From time 2.387 to 2.392, in 1 step of 0.00496 From time 2.392 to 2.398, in 1 step of 0.00545 From time 2.398 to 2.404, in 1 step of 0.006 From time 2.404 to 2.41, in 1 step of 0.0066 From time 2.41 to 2.468, in 8 steps of 0.00726 From time 2.468 to 2.492, in 3 steps of 0.00798 From time 2.492 to 2.495, in 1 step of 0.00319 From time 2.495 to 2.499, in 1 step of 0.00351 From time 2.499 to 2.501, in 1 step of 0.00155 From time 2.501 to 2.502, in 1 step of 0.0017 From time 2.502 to 2.504, in 1 step of 0.00187 From time 2.504 to 2.506, in 1 step of 0.00206 From time 2.506 to 2.508, in 1 step of 0.00226 From time 2.508 to 2.511, in 1 step of 0.00249 From time 2.511 to 2.514, in 1 step of 0.00274 From time 2.514 to 2.517, in 1 step of 0.00301 From time 2.517 to 2.52, in 1 step of 0.00331 From time 2.52 to 2.524, in 1 step of 0.00364 From time 2.524 to 2.528, in 1 step of 0.00401 From time 2.528 to 2.532, in 1 step of 0.00441 From time 2.532 to 2.537, in 1 step of 0.00485 From time 2.537 to 2.542, in 1 step of 0.00534 From time 2.542 to 2.548, in 1 step of 0.00587 From time 2.548 to 2.555, in 1 step of 0.00646 From time 2.555 to 2.562, in 1 step of 0.0071 From time 2.562 to 2.609, in 6 steps of 0.00781 From time 2.609 to 2.651, in 5 steps of 0.00859 From time 2.651 to 2.652, in 1 step of 0.00022 From time 2.652 to 2.652, in 1 step of 0.000242 From time 2.652 to 2.652, in 1 step of 0.000266 From time 2.652 to 2.653, in 1 step of 0.000293 From time 2.653 to 2.653, in 1 step of 0.000322 From time 2.653 to 2.653, in 1 step of 0.000354 From time 2.653 to 2.654, in 1 step of 0.00039 From time 2.654 to 2.654, in 1 step of 0.000429 From time 2.654 to 2.654, in 1 step of 0.000472 From time 2.654 to 2.655, in 1 step of 0.000519 From time 2.655 to 2.656, in 1 step of 0.000571 From time 2.656 to 2.656, in 1 step of 0.000628 From time 2.656 to 2.657, in 1 step of 0.00069 From time 2.657 to 2.658, in 1 step of 0.000759 From time 2.658 to 2.658, in 1 step of 0.000835 From time 2.658 to 2.659, in 1 step of 0.000919 From time 2.659 to 2.66, in 1 step of 0.00101 From time 2.66 to 2.662, in 1 step of 0.00111 From time 2.662 to 2.663, in 1 step of 0.00122 From time 2.663 to 2.664, in 1 step of 0.00135 From time 2.664 to 2.666, in 1 step of 0.00148 From time 2.666 to 2.667, in 1 step of 0.00163 From time 2.667 to 2.669, in 1 step of 0.00179 From time 2.669 to 2.671, in 1 step of 0.00197 From time 2.671 to 2.673, in 1 step of 0.00217 From time 2.673 to 2.676, in 1 step of 0.00238 From time 2.676 to 2.678, in 1 step of 0.00262 From time 2.678 to 2.681, in 1 step of 0.00288 From time 2.681 to 2.684, in 1 step of 0.00317 From time 2.684 to 2.688, in 1 step of 0.00349 From time 2.688 to 2.692, in 1 step of 0.00384 From time 2.692 to 2.696, in 1 step of 0.00422 From time 2.696 to 2.7, in 1 step of 0.00464 From time 2.7 to 2.705, in 1 step of 0.00511 From time 2.705 to 2.711, in 1 step of 0.00562 From time 2.711 to 2.717, in 1 step of 0.00618 From time 2.717 to 2.724, in 1 step of 0.0068 From time 2.724 to 2.732, in 1 step of 0.00748 From time 2.732 to 2.74, in 1 step of 0.00823 From time 2.74 to 2.839, in 11 steps of 0.00905 From time 2.839 to 2.841, in 1 step of 0.00145 From time 2.841 to 2.842, in 1 step of 0.000724 From time 2.842 to 2.842, in 1 step of 0.000797 From time 2.842 to 2.843, in 1 step of 0.000876 From time 2.843 to 2.844, in 1 step of 0.000964 From time 2.844 to 2.845, in 1 step of 0.00106 From time 2.845 to 2.846, in 1 step of 0.00117 From time 2.846 to 2.848, in 1 step of 0.00128 From time 2.848 to 2.849, in 1 step of 0.00141 From time 2.849 to 2.851, in 1 step of 0.00155 From time 2.851 to 2.852, in 1 step of 0.00171 From time 2.852 to 2.854, in 1 step of 0.00188 From time 2.854 to 2.856, in 1 step of 0.00207 From time 2.856 to 2.859, in 1 step of 0.00227 From time 2.859 to 2.861, in 1 step of 0.0025 From time 2.861 to 2.864, in 1 step of 0.00275 From time 2.864 to 2.867, in 1 step of 0.00302 From time 2.867 to 2.87, in 1 step of 0.00333 From time 2.87 to 2.874, in 1 step of 0.00366 From time 2.874 to 2.878, in 1 step of 0.00403 From time 2.878 to 2.882, in 1 step of 0.00443 From time 2.882 to 2.887, in 1 step of 0.00487 From time 2.887 to 2.893, in 1 step of 0.00536 From time 2.893 to 2.898, in 1 step of 0.00589 From time 2.898 to 2.905, in 1 step of 0.00648 From time 2.905 to 2.912, in 1 step of 0.00713 From time 2.912 to 2.92, in 1 step of 0.00785 From time 2.92 to 2.928, in 1 step of 0.00863 From time 2.928 to 2.938, in 1 step of 0.00949 From time 2.938 to 3.032, in 9 steps of 0.0104 From time 3.032 to 3.034, in 1 step of 0.00167 From time 3.034 to 3.035, in 1 step of 0.00184 From time 3.035 to 3.038, in 1 step of 0.00202 From time 3.038 to 3.04, in 1 step of 0.00222 From time 3.04 to 3.042, in 1 step of 0.00245 From time 3.042 to 3.045, in 1 step of 0.00269 From time 3.045 to 3.048, in 1 step of 0.00296 From time 3.048 to 3.051, in 1 step of 0.00326 From time 3.051 to 3.055, in 1 step of 0.00358 From time 3.055 to 3.059, in 1 step of 0.00394 From time 3.059 to 3.063, in 1 step of 0.00433 From time 3.063 to 3.068, in 1 step of 0.00477 From time 3.068 to 3.073, in 1 step of 0.00524 From time 3.073 to 3.079, in 1 step of 0.00577 From time 3.079 to 3.085, in 1 step of 0.00634 From time 3.085 to 3.092, in 1 step of 0.00698 From time 3.092 to 3.1, in 1 step of 0.00768 From time 3.1 to 3.108, in 1 step of 0.00844 From time 3.108 to 3.117, in 1 step of 0.00929 From time 3.117 to 3.128, in 1 step of 0.0102 From time 3.128 to 3.15, in 2 steps of 0.0112 From time 3.15 to 3.237, in 7 steps of 0.0124 From time 3.237 to 3.239, in 1 step of 0.00198 From time 3.239 to 3.239, in 1 step of 0.000317 From time 3.239 to 3.239, in 1 step of 0.000348 From time 3.239 to 3.24, in 1 step of 0.000383 From time 3.24 to 3.24, in 1 step of 0.000421 From time 3.24 to 3.241, in 1 step of 0.000463 From time 3.241 to 3.241, in 1 step of 0.00051 From time 3.241 to 3.242, in 1 step of 0.000561 From time 3.242 to 3.242, in 1 step of 0.000617 From time 3.242 to 3.243, in 1 step of 0.000678 From time 3.243 to 3.244, in 1 step of 0.000746 From time 3.244 to 3.245, in 1 step of 0.000821 From time 3.245 to 3.245, in 1 step of 0.000903 From time 3.245 to 3.246, in 1 step of 0.000993 From time 3.246 to 3.248, in 1 step of 0.00109 From time 3.248 to 3.249, in 1 step of 0.0012 From time 3.249 to 3.25, in 1 step of 0.00132 From time 3.25 to 3.252, in 1 step of 0.00145 From time 3.252 to 3.253, in 1 step of 0.0016 From time 3.253 to 3.255, in 1 step of 0.00176 From time 3.255 to 3.257, in 1 step of 0.00194 From time 3.257 to 3.259, in 1 step of 0.00213 From time 3.259 to 3.261, in 1 step of 0.00234 From time 3.261 to 3.264, in 1 step of 0.00258 From time 3.264 to 3.267, in 1 step of 0.00283 From time 3.267 to 3.27, in 1 step of 0.00312 From time 3.27 to 3.273, in 1 step of 0.00343 From time 3.273 to 3.277, in 1 step of 0.00377 From time 3.277 to 3.281, in 1 step of 0.00415 From time 3.281 to 3.286, in 1 step of 0.00456 From time 3.286 to 3.291, in 1 step of 0.00502 From time 3.291 to 3.296, in 1 step of 0.00552 From time 3.296 to 3.302, in 1 step of 0.00608 From time 3.302 to 3.309, in 1 step of 0.00668 From time 3.309 to 3.316, in 1 step of 0.00735 From time 3.316 to 3.324, in 1 step of 0.00809 From time 3.324 to 3.333, in 1 step of 0.00889 From time 3.333 to 3.343, in 1 step of 0.00978 From time 3.343 to 3.354, in 1 step of 0.0108 From time 3.354 to 3.366, in 1 step of 0.0118 From time 3.366 to 3.379, in 1 step of 0.013 From time 3.379 to 3.422, in 3 steps of 0.0143 From time 3.422 to 3.485, in 4 steps of 0.0158 From time 3.485 to 3.491, in 1 step of 0.0063 From time 3.491 to 3.498, in 1 step of 0.00693 From time 3.498 to 3.501, in 1 step of 0.00277 From time 3.501 to 3.502, in 1 step of 0.00139 From time 3.502 to 3.504, in 1 step of 0.00153 From time 3.504 to 3.505, in 1 step of 0.00168 From time 3.505 to 3.507, in 1 step of 0.00185 From time 3.507 to 3.509, in 1 step of 0.00203 From time 3.509 to 3.511, in 1 step of 0.00223 From time 3.511 to 3.514, in 1 step of 0.00246 From time 3.514 to 3.517, in 1 step of 0.0027 From time 3.517 to 3.52, in 1 step of 0.00297 From time 3.52 to 3.523, in 1 step of 0.00327 From time 3.523 to 3.526, in 1 step of 0.0036 From time 3.526 to 3.53, in 1 step of 0.00396 From time 3.53 to 3.535, in 1 step of 0.00435 From time 3.535 to 3.54, in 1 step of 0.00479 From time 3.54 to 3.545, in 1 step of 0.00527 From time 3.545 to 3.551, in 1 step of 0.00579 From time 3.551 to 3.557, in 1 step of 0.00637 From time 3.557 to 3.564, in 1 step of 0.00701 From time 3.564 to 3.572, in 1 step of 0.00771 From time 3.572 to 3.58, in 1 step of 0.00848 From time 3.58 to 3.59, in 1 step of 0.00933 From time 3.59 to 3.6, in 1 step of 0.0103 From time 3.6 to 3.611, in 1 step of 0.0113 From time 3.611 to 3.623, in 1 step of 0.0124 From time 3.623 to 3.637, in 1 step of 0.0137 From time 3.637 to 3.652, in 1 step of 0.015 From time 3.652 to 3.669, in 1 step of 0.0165 From time 3.669 to 3.687, in 1 step of 0.0182 From time 3.687 to 3.747, in 3 steps of 0.02 From time 3.747 to 3.813, in 3 steps of 0.022 From time 3.813 to 3.823, in 1 step of 0.00968 From time 3.823 to 3.824, in 1 step of 0.0017 From time 3.824 to 3.825, in 1 step of 0.00075 From time 3.825 to 3.825, in 1 step of 0.000375 From time 3.825 to 3.826, in 1 step of 0.000412 From time 3.826 to 3.826, in 1 step of 0.000453 From time 3.826 to 3.827, in 1 step of 0.000499 From time 3.827 to 3.827, in 1 step of 0.000549 From time 3.827 to 3.828, in 1 step of 0.000604 From time 3.828 to 3.829, in 1 step of 0.000664 From time 3.829 to 3.829, in 1 step of 0.00073 From time 3.829 to 3.83, in 1 step of 0.000803 From time 3.83 to 3.831, in 1 step of 0.000884 From time 3.831 to 3.832, in 1 step of 0.000972 From time 3.832 to 3.833, in 1 step of 0.00107 From time 3.833 to 3.834, in 1 step of 0.00118 From time 3.834 to 3.835, in 1 step of 0.00129 From time 3.835 to 3.837, in 1 step of 0.00142 From time 3.837 to 3.838, in 1 step of 0.00157 From time 3.838 to 3.84, in 1 step of 0.00172 From time 3.84 to 3.842, in 1 step of 0.00189 From time 3.842 to 3.844, in 1 step of 0.00208 From time 3.844 to 3.846, in 1 step of 0.00229 From time 3.846 to 3.849, in 1 step of 0.00252 From time 3.849 to 3.852, in 1 step of 0.00277 From time 3.852 to 3.855, in 1 step of 0.00305 From time 3.855 to 3.858, in 1 step of 0.00336 From time 3.858 to 3.862, in 1 step of 0.00369 From time 3.862 to 3.866, in 1 step of 0.00406 From time 3.866 to 3.87, in 1 step of 0.00447 From time 3.87 to 3.875, in 1 step of 0.00491 From time 3.875 to 3.881, in 1 step of 0.0054 From time 3.881 to 3.887, in 1 step of 0.00594 From time 3.887 to 3.893, in 1 step of 0.00654 From time 3.893 to 3.9, in 1 step of 0.00719 From time 3.9 to 3.908, in 1 step of 0.00791 From time 3.908 to 3.917, in 1 step of 0.0087 From time 3.917 to 3.927, in 1 step of 0.00957 From time 3.927 to 3.937, in 1 step of 0.0105 From time 3.937 to 3.949, in 1 step of 0.0116 From time 3.949 to 3.961, in 1 step of 0.0127 From time 3.961 to 3.975, in 1 step of 0.014 From time 3.975 to 3.991, in 1 step of 0.0154 From time 3.991 to 4.008, in 1 step of 0.017 From time 4.008 to 4.026, in 1 step of 0.0187 From time 4.026 to 4.047, in 1 step of 0.0205 From time 4.047 to 4.07, in 1 step of 0.0226 From time 4.07 to 4.094, in 1 step of 0.0248 From time 4.094 to 4.122, in 1 step of 0.0273 From time 4.122 to 4.152, in 1 step of 0.03 From time 4.152 to 4.185, in 1 step of 0.0331 From time 4.185 to 4.221, in 1 step of 0.0364 From time 4.221 to 4.236, in 1 step of 0.0145 From time 4.236 to 4.237, in 1 step of 0.00102 From time 4.237 to 4.238, in 1 step of 0.00113 From time 4.238 to 4.239, in 1 step of 0.00124 From time 4.239 to 4.24, in 1 step of 0.00136 From time 4.24 to 4.242, in 1 step of 0.0015 From time 4.242 to 4.244, in 1 step of 0.00165 From time 4.244 to 4.244, in 1 step of 4.64e-05 From time 4.244 to 4.244, in 1 step of 4.52e-05 From time 4.244 to 4.244, in 1 step of 4.98e-05 From time 4.244 to 4.244, in 1 step of 5.47e-05 From time 4.244 to 4.244, in 1 step of 6.02e-05 From time 4.244 to 4.244, in 1 step of 6.62e-05 From time 4.244 to 4.244, in 1 step of 7.29e-05 From time 4.244 to 4.244, in 1 step of 8.02e-05 From time 4.244 to 4.244, in 1 step of 8.82e-05 From time 4.244 to 4.245, in 1 step of 9.7e-05 From time 4.245 to 4.245, in 1 step of 0.000107 From time 4.245 to 4.245, in 1 step of 0.000117 From time 4.245 to 4.245, in 1 step of 0.000129 From time 4.245 to 4.245, in 1 step of 0.000142 From time 4.245 to 4.245, in 1 step of 0.000156 From time 4.245 to 4.245, in 1 step of 0.000172 From time 4.245 to 4.246, in 1 step of 0.000189 From time 4.246 to 4.246, in 1 step of 0.000208 From time 4.246 to 4.246, in 1 step of 0.000229 From time 4.246 to 4.246, in 1 step of 0.000252 From time 4.246 to 4.246, in 1 step of 0.000277 From time 4.246 to 4.247, in 1 step of 0.000304 From time 4.247 to 4.247, in 1 step of 0.000335 From time 4.247 to 4.248, in 1 step of 0.000368 From time 4.248 to 4.248, in 1 step of 0.000405 From time 4.248 to 4.248, in 1 step of 0.000446 From time 4.248 to 4.249, in 1 step of 0.00049 From time 4.249 to 4.249, in 1 step of 0.000539 From time 4.249 to 4.25, in 1 step of 0.000593 From time 4.25 to 4.251, in 1 step of 0.000652 From time 4.251 to 4.251, in 1 step of 0.000718 From time 4.251 to 4.252, in 1 step of 0.000789 From time 4.252 to 4.253, in 1 step of 0.000868 From time 4.253 to 4.254, in 1 step of 0.000955 From time 4.254 to 4.255, in 1 step of 0.00105 From time 4.255 to 4.256, in 1 step of 0.00116 From time 4.256 to 4.257, in 1 step of 0.00127 From time 4.257 to 4.259, in 1 step of 0.0014 From time 4.259 to 4.26, in 1 step of 0.00154 From time 4.26 to 4.262, in 1 step of 0.00169 From time 4.262 to 4.264, in 1 step of 0.00186 From time 4.264 to 4.266, in 1 step of 0.00205 From time 4.266 to 4.268, in 1 step of 0.00225 From time 4.268 to 4.271, in 1 step of 0.00248 From time 4.271 to 4.273, in 1 step of 0.00273 From time 4.273 to 4.276, in 1 step of 0.003 From time 4.276 to 4.28, in 1 step of 0.0033 From time 4.28 to 4.283, in 1 step of 0.00363 From time 4.283 to 4.287, in 1 step of 0.00399 From time 4.287 to 4.292, in 1 step of 0.00439 From time 4.292 to 4.297, in 1 step of 0.00483 From time 4.297 to 4.302, in 1 step of 0.00531 From time 4.302 to 4.308, in 1 step of 0.00584 From time 4.308 to 4.314, in 1 step of 0.00643 From time 4.314 to 4.321, in 1 step of 0.00707 From time 4.321 to 4.329, in 1 step of 0.00778 From time 4.329 to 4.338, in 1 step of 0.00855 From time 4.338 to 4.347, in 1 step of 0.00941 From time 4.347 to 4.357, in 1 step of 0.0103 From time 4.357 to 4.369, in 1 step of 0.0114 From time 4.369 to 4.381, in 1 step of 0.0125 From time 4.381 to 4.395, in 1 step of 0.0138 From time 4.395 to 4.41, in 1 step of 0.0152 From time 4.41 to 4.427, in 1 step of 0.0167 From time 4.427 to 4.445, in 1 step of 0.0183 From time 4.445 to 4.465, in 1 step of 0.0202 From time 4.465 to 4.487, in 1 step of 0.0222 From time 4.487 to 4.512, in 1 step of 0.0244 From time 4.512 to 4.539, in 1 step of 0.0268 From time 4.539 to 4.568, in 1 step of 0.0295 From time 4.568 to 4.601, in 1 step of 0.0325 From time 4.601 to 4.636, in 1 step of 0.0357 From time 4.636 to 4.676, in 1 step of 0.0393 From time 4.676 to 4.719, in 1 step of 0.0432 From time 4.719 to 4.726, in 1 step of 0.00692 From time 4.726 to 4.734, in 1 step of 0.00761 From time 4.734 to 4.737, in 1 step of 0.0038 From time 4.737 to 4.739, in 1 step of 0.0019 From time 4.739 to 4.741, in 1 step of 0.00209 From time 4.741 to 4.744, in 1 step of 0.0023 From time 4.744 to 4.746, in 1 step of 0.00253 From time 4.746 to 4.749, in 1 step of 0.00279 From time 4.749 to 4.752, in 1 step of 0.00306 From time 4.752 to 4.755, in 1 step of 0.00337 From time 4.755 to 4.759, in 1 step of 0.00371 From time 4.759 to 4.763, in 1 step of 0.00408 From time 4.763 to 4.768, in 1 step of 0.00449 From time 4.768 to 4.773, in 1 step of 0.00493 From time 4.773 to 4.778, in 1 step of 0.00543 From time 4.778 to 4.784, in 1 step of 0.00597 From time 4.784 to 4.791, in 1 step of 0.00657 From time 4.791 to 4.798, in 1 step of 0.00722 From time 4.798 to 4.806, in 1 step of 0.00795 From time 4.806 to 4.814, in 1 step of 0.00874 From time 4.814 to 4.824, in 1 step of 0.00962 From time 4.824 to 4.835, in 1 step of 0.0106 From time 4.835 to 4.846, in 1 step of 0.0116 From time 4.846 to 4.859, in 1 step of 0.0128 From time 4.859 to 4.873, in 1 step of 0.0141 From time 4.873 to 4.889, in 1 step of 0.0155 From time 4.889 to 4.906, in 1 step of 0.017 From time 4.906 to 4.924, in 1 step of 0.0187 From time 4.924 to 4.945, in 1 step of 0.0206 From time 4.945 to 4.968, in 1 step of 0.0227 From time 4.968 to 4.993, in 1 step of 0.0249 From time 4.993 to 5.02, in 1 step of 0.0274 From time 5.02 to 5.05, in 1 step of 0.0302 From time 5.05 to 5.064, in 1 step of 0.0133 From time 5.064 to 5.066, in 1 step of 0.00234 From time 5.066 to 5.068, in 1 step of 0.00257 From time 5.068 to 5.071, in 1 step of 0.00283 From time 5.071 to 5.078, in 2 steps of 0.00311 From time 5.078 to 5.081, in 1 step of 0.00342 From time 5.081 to 5.085, in 1 step of 0.00376 From time 5.085 to 5.089, in 1 step of 0.00414 From time 5.089 to 5.093, in 1 step of 0.00455 From time 5.093 to 5.098, in 1 step of 0.00501 From time 5.098 to 5.104, in 1 step of 0.00551 From time 5.104 to 5.11, in 1 step of 0.00606 From time 5.11 to 5.117, in 1 step of 0.00667 From time 5.117 to 5.124, in 1 step of 0.00733 From time 5.124 to 5.132, in 1 step of 0.00807 From time 5.132 to 5.141, in 1 step of 0.00887 From time 5.141 to 5.151, in 1 step of 0.00976 From time 5.151 to 5.161, in 1 step of 0.0107 From time 5.161 to 5.173, in 1 step of 0.0118 From time 5.173 to 5.186, in 1 step of 0.013 From time 5.186 to 5.201, in 1 step of 0.0143 From time 5.201 to 5.216, in 1 step of 0.0157 From time 5.216 to 5.234, in 1 step of 0.0173 From time 5.234 to 5.253, in 1 step of 0.019 From time 5.253 to 5.273, in 1 step of 0.0209 From time 5.273 to 5.296, in 1 step of 0.023 From time 5.296 to 5.322, in 1 step of 0.0253 From time 5.322 to 5.35, in 1 step of 0.0279 From time 5.35 to 5.38, in 1 step of 0.0306 From time 5.38 to 5.393, in 1 step of 0.0123 From time 5.393 to 5.395, in 1 step of 0.00245 From time 5.395 to 5.396, in 1 step of 0.00108 From time 5.396 to 5.397, in 1 step of 0.000539 From time 5.397 to 5.397, in 1 step of 0.000593 From time 5.397 to 5.397, in 1 step of 0.000261 From time 5.397 to 5.398, in 1 step of 0.000287 From time 5.398 to 5.398, in 1 step of 0.000316 From time 5.398 to 5.398, in 1 step of 0.000347 From time 5.398 to 5.399, in 1 step of 0.000382 From time 5.399 to 5.399, in 1 step of 0.00042 From time 5.399 to 5.4, in 1 step of 0.000462 From time 5.4 to 5.4, in 1 step of 0.000509 From time 5.4 to 5.401, in 1 step of 0.000559 From time 5.401 to 5.401, in 1 step of 0.000615 From time 5.401 to 5.402, in 1 step of 0.000677 From time 5.402 to 5.403, in 1 step of 0.000745 From time 5.403 to 5.404, in 1 step of 0.000819 From time 5.404 to 5.405, in 1 step of 0.000901 From time 5.405 to 5.406, in 1 step of 0.000991 From time 5.406 to 5.407, in 1 step of 0.00109 From time 5.407 to 5.408, in 1 step of 0.0012 From time 5.408 to 5.409, in 1 step of 0.00132 From time 5.409 to 5.411, in 1 step of 0.00145 From time 5.411 to 5.412, in 1 step of 0.0016 From time 5.412 to 5.414, in 1 step of 0.00176 From time 5.414 to 5.416, in 1 step of 0.00193 From time 5.416 to 5.418, in 1 step of 0.00212 From time 5.418 to 5.42, in 1 step of 0.00234 From time 5.42 to 5.423, in 1 step of 0.00257 From time 5.423 to 5.426, in 1 step of 0.00283 From time 5.426 to 5.429, in 1 step of 0.00311 From time 5.429 to 5.432, in 1 step of 0.00342 From time 5.432 to 5.436, in 1 step of 0.00376 From time 5.436 to 5.44, in 1 step of 0.00414 From time 5.44 to 5.445, in 1 step of 0.00455 From time 5.445 to 5.45, in 1 step of 0.00501 From time 5.45 to 5.455, in 1 step of 0.00551 From time 5.455 to 5.461, in 1 step of 0.00606 From time 5.461 to 5.468, in 1 step of 0.00667 From time 5.468 to 5.475, in 1 step of 0.00733 From time 5.475 to 5.483, in 1 step of 0.00807 From time 5.483 to 5.492, in 1 step of 0.00887 From time 5.492 to 5.502, in 1 step of 0.00976 From time 5.502 to 5.513, in 1 step of 0.0107 From time 5.513 to 5.525, in 1 step of 0.0118 From time 5.525 to 5.538, in 1 step of 0.013 From time 5.538 to 5.552, in 1 step of 0.0143 From time 5.552 to 5.568, in 1 step of 0.0157 From time 5.568 to 5.585, in 1 step of 0.0173 From time 5.585 to 5.604, in 1 step of 0.019 From time 5.604 to 5.625, in 1 step of 0.0209 From time 5.625 to 5.648, in 1 step of 0.023 From time 5.648 to 5.673, in 1 step of 0.0253 From time 5.673 to 5.701, in 1 step of 0.0279 From time 5.701 to 5.732, in 1 step of 0.0306 From time 5.732 to 5.765, in 1 step of 0.0337 From time 5.765 to 5.802, in 1 step of 0.0371 From time 5.802 to 5.843, in 1 step of 0.0408 From time 5.843 to 5.85, in 1 step of 0.00652 From time 5.85 to 5.857, in 1 step of 0.00718 From time 5.857 to 5.864, in 2 steps of 0.00359 From time 5.864 to 5.868, in 1 step of 0.00395 From time 5.868 to 5.872, in 1 step of 0.00434 From time 5.872 to 5.877, in 1 step of 0.00478 From time 5.877 to 5.882, in 1 step of 0.00525 From time 5.882 to 5.888, in 1 step of 0.00578 From time 5.888 to 5.894, in 1 step of 0.00636 From time 5.894 to 5.901, in 1 step of 0.00699 From time 5.901 to 5.909, in 1 step of 0.00769 From time 5.909 to 5.918, in 1 step of 0.00846 From time 5.918 to 5.927, in 1 step of 0.00931 From time 5.927 to 5.937, in 1 step of 0.0102 From time 5.937 to 5.948, in 1 step of 0.0113 From time 5.948 to 5.961, in 1 step of 0.0124 From time 5.961 to 5.974, in 1 step of 0.0136 From time 5.974 to 5.989, in 1 step of 0.015 From time 5.989 to 6.006, in 1 step of 0.0165 From time 6.006 to 6.024, in 1 step of 0.0181 From time 6.024 to 6.027, in 1 step of 0.00319 From time 6.027 to 6.029, in 1 step of 0.00128 From time 6.029 to 6.029, in 1 step of 0.000638 From time 6.029 to 6.03, in 1 step of 0.000702 From time 6.03 to 6.031, in 1 step of 0.000772 From time 6.031 to 6.031, in 1 step of 0.00085 From time 6.031 to 6.032, in 1 step of 0.000935 From time 6.032 to 6.033, in 1 step of 0.00103 From time 6.033 to 6.035, in 1 step of 0.00113 From time 6.035 to 6.036, in 1 step of 0.00124 From time 6.036 to 6.037, in 1 step of 0.00137 From time 6.037 to 6.039, in 1 step of 0.00151 From time 6.039 to 6.04, in 1 step of 0.00166 From time 6.04 to 6.042, in 1 step of 0.00182 From time 6.042 to 6.044, in 1 step of 0.002 From time 6.044 to 6.046, in 1 step of 0.0022 From time 6.046 to 6.049, in 1 step of 0.00242 From time 6.049 to 6.051, in 1 step of 0.00267 From time 6.051 to 6.054, in 1 step of 0.00293 From time 6.054 to 6.058, in 1 step of 0.00323 From time 6.058 to 6.061, in 1 step of 0.00355 From time 6.061 to 6.065, in 1 step of 0.0039 From time 6.065 to 6.069, in 1 step of 0.00429 From time 6.069 to 6.074, in 1 step of 0.00472 From time 6.074 to 6.079, in 1 step of 0.0052 From time 6.079 to 6.085, in 1 step of 0.00572 From time 6.085 to 6.091, in 1 step of 0.00629 From time 6.091 to 6.098, in 1 step of 0.00692 From time 6.098 to 6.106, in 1 step of 0.00761 From time 6.106 to 6.114, in 1 step of 0.00837 From time 6.114 to 6.123, in 1 step of 0.00921 From time 6.123 to 6.134, in 1 step of 0.0101 From time 6.134 to 6.145, in 1 step of 0.0111 From time 6.145 to 6.157, in 1 step of 0.0123 From time 6.157 to 6.17, in 1 step of 0.0135 From time 6.17 to 6.185, in 1 step of 0.0148 From time 6.185 to 6.202, in 1 step of 0.0163 From time 6.202 to 6.219, in 1 step of 0.0179 From time 6.219 to 6.239, in 1 step of 0.0197 From time 6.239 to 6.261, in 1 step of 0.0217 From time 6.261 to 6.285, in 1 step of 0.0239 From time 6.285 to 6.311, in 1 step of 0.0263 From time 6.311 to 6.34, in 1 step of 0.0289 From time 6.34 to 6.372, in 1 step of 0.0318 From time 6.372 to 6.407, in 1 step of 0.035 From time 6.407 to 6.445, in 1 step of 0.0385 From time 6.445 to 6.487, in 1 step of 0.0423 From time 6.487 to 6.494, in 1 step of 0.00677 From time 6.494 to 6.502, in 1 step of 0.00745 From time 6.502 to 6.505, in 1 step of 0.00372 From time 6.505 to 6.507, in 1 step of 0.00186 From time 6.507 to 6.509, in 1 step of 0.00205 From time 6.509 to 6.512, in 1 step of 0.00225 From time 6.512 to 6.514, in 1 step of 0.00248 From time 6.514 to 6.517, in 1 step of 0.00273 From time 6.517 to 6.52, in 1 step of 0.003 From time 6.52 to 6.523, in 1 step of 0.0033 From time 6.523 to 6.527, in 1 step of 0.00363 From time 6.527 to 6.531, in 1 step of 0.00399 From time 6.531 to 6.535, in 1 step of 0.00439 From time 6.535 to 6.54, in 1 step of 0.00483 From time 6.54 to 6.545, in 1 step of 0.00531 From time 6.545 to 6.551, in 1 step of 0.00584 From time 6.551 to 6.557, in 1 step of 0.00643 From time 6.557 to 6.565, in 1 step of 0.00707 From time 6.565 to 6.572, in 1 step of 0.00778 From time 6.572 to 6.581, in 1 step of 0.00855 From time 6.581 to 6.59, in 1 step of 0.00941 From time 6.59 to 6.601, in 1 step of 0.0103 From time 6.601 to 6.612, in 1 step of 0.0114 From time 6.612 to 6.625, in 1 step of 0.0125 From time 6.625 to 6.638, in 1 step of 0.0138 From time 6.638 to 6.653, in 1 step of 0.0152 From time 6.653 to 6.67, in 1 step of 0.0167 From time 6.67 to 6.688, in 1 step of 0.0183 From time 6.688 to 6.709, in 1 step of 0.0202 From time 6.709 to 6.731, in 1 step of 0.0222 From time 6.731 to 6.755, in 1 step of 0.0244 From time 6.755 to 6.782, in 1 step of 0.0268 From time 6.782 to 6.812, in 1 step of 0.0295 From time 6.812 to 6.844, in 1 step of 0.0325 From time 6.844 to 6.85, in 1 step of 0.00572 From time 6.85 to 6.852, in 1 step of 0.00252 From time 6.852 to 6.855, in 1 step of 0.00277 From time 6.855 to 6.856, in 1 step of 0.000487 From time 6.856 to 6.856, in 1 step of 0.000536 From time 6.856 to 6.857, in 1 step of 0.000589 From time 6.857 to 6.857, in 1 step of 0.000648 From time 6.857 to 6.858, in 1 step of 0.000713 From time 6.858 to 6.859, in 1 step of 0.000784 From time 6.859 to 6.86, in 1 step of 0.000863 From time 6.86 to 6.861, in 1 step of 0.000949 From time 6.861 to 6.862, in 1 step of 0.00104 From time 6.862 to 6.863, in 1 step of 0.00115 From time 6.863 to 6.864, in 1 step of 0.00126 From time 6.864 to 6.865, in 1 step of 0.00139 From time 6.865 to 6.867, in 1 step of 0.00153 From time 6.867 to 6.869, in 1 step of 0.00168 From time 6.869 to 6.871, in 1 step of 0.00185 From time 6.871 to 6.873, in 1 step of 0.00203 From time 6.873 to 6.875, in 1 step of 0.00224 From time 6.875 to 6.877, in 1 step of 0.00246 From time 6.877 to 6.88, in 1 step of 0.00271 From time 6.88 to 6.883, in 1 step of 0.00298 From time 6.883 to 6.886, in 1 step of 0.00328 From time 6.886 to 6.89, in 1 step of 0.0036 From time 6.89 to 6.894, in 1 step of 0.00396 From time 6.894 to 6.898, in 1 step of 0.00436 From time 6.898 to 6.903, in 1 step of 0.0048 From time 6.903 to 6.908, in 1 step of 0.00528 From time 6.908 to 6.914, in 1 step of 0.0058 From time 6.914 to 6.92, in 1 step of 0.00638 From time 6.92 to 6.927, in 1 step of 0.00702 From time 6.927 to 6.935, in 1 step of 0.00772 From time 6.935 to 6.944, in 1 step of 0.0085 From time 6.944 to 6.953, in 1 step of 0.00935 From time 6.953 to 6.963, in 1 step of 0.0103 From time 6.963 to 6.975, in 1 step of 0.0113 From time 6.975 to 6.987, in 1 step of 0.0124 From time 6.987 to 7.001, in 1 step of 0.0137 From time 7.001 to 7.016, in 1 step of 0.0151 From time 7.016 to 7.032, in 1 step of 0.0166 From time 7.032 to 7.051, in 1 step of 0.0182 From time 7.051 to 7.071, in 1 step of 0.02 From time 7.071 to 7.093, in 1 step of 0.022 From time 7.093 to 7.117, in 1 step of 0.0242 From time 7.117 to 7.144, in 1 step of 0.0267 From time 7.144 to 7.173, in 1 step of 0.0293 From time 7.173 to 7.205, in 1 step of 0.0323 From time 7.205 to 7.241, in 1 step of 0.0355 From time 7.241 to 7.28, in 1 step of 0.039 From time 7.28 to 7.323, in 1 step of 0.0429 From time 7.323 to 7.323, in 1 step of 7.74e-05 From time 7.323 to 7.323, in 1 step of 8.51e-05 From time 7.323 to 7.323, in 1 step of 9.37e-05 From time 7.323 to 7.323, in 1 step of 0.000103 From time 7.323 to 7.323, in 1 step of 0.000113 From time 7.323 to 7.323, in 1 step of 0.000125 From time 7.323 to 7.323, in 1 step of 0.000137 From time 7.323 to 7.324, in 1 step of 0.000151 From time 7.324 to 7.324, in 1 step of 0.000166 From time 7.324 to 7.324, in 1 step of 0.000183 From time 7.324 to 7.324, in 1 step of 0.000201 From time 7.324 to 7.324, in 1 step of 0.000221 From time 7.324 to 7.325, in 1 step of 0.000243 From time 7.325 to 7.325, in 1 step of 0.000267 From time 7.325 to 7.325, in 1 step of 0.000294 From time 7.325 to 7.325, in 1 step of 0.000323 From time 7.325 to 7.326, in 1 step of 0.000356 From time 7.326 to 7.326, in 1 step of 0.000391 From time 7.326 to 7.327, in 1 step of 0.00043 From time 7.327 to 7.327, in 1 step of 0.000473 From time 7.327 to 7.328, in 1 step of 0.000521 From time 7.328 to 7.328, in 1 step of 0.000573 From time 7.328 to 7.328, in 1 step of 0.000252 From time 7.328 to 7.329, in 1 step of 0.000277 From time 7.329 to 7.329, in 1 step of 0.000305 From time 7.329 to 7.329, in 1 step of 0.000335 From time 7.329 to 7.33, in 1 step of 0.000369 From time 7.33 to 7.33, in 1 step of 0.000406 From time 7.33 to 7.331, in 1 step of 0.000446 From time 7.331 to 7.331, in 1 step of 0.000491 From time 7.331 to 7.332, in 1 step of 0.00054 From time 7.332 to 7.332, in 1 step of 0.000594 From time 7.332 to 7.333, in 1 step of 0.000654 From time 7.333 to 7.334, in 1 step of 0.000719 From time 7.334 to 7.334, in 1 step of 0.000791 From time 7.334 to 7.335, in 1 step of 0.00087 From time 7.335 to 7.336, in 1 step of 0.000957 From time 7.336 to 7.337, in 1 step of 0.00105 From time 7.337 to 7.338, in 1 step of 0.00116 From time 7.338 to 7.34, in 1 step of 0.00127 From time 7.34 to 7.341, in 1 step of 0.0014 From time 7.341 to 7.343, in 1 step of 0.00154 From time 7.343 to 7.344, in 1 step of 0.0017 From time 7.344 to 7.346, in 1 step of 0.00187 From time 7.346 to 7.348, in 1 step of 0.00205 From time 7.348 to 7.35, in 1 step of 0.00226 From time 7.35 to 7.353, in 1 step of 0.00248 From time 7.353 to 7.356, in 1 step of 0.00273 From time 7.356 to 7.359, in 1 step of 0.003 From time 7.359 to 7.362, in 1 step of 0.0033 From time 7.362 to 7.366, in 1 step of 0.00363 From time 7.366 to 7.37, in 1 step of 0.004 From time 7.37 to 7.374, in 1 step of 0.0044 From time 7.374 to 7.379, in 1 step of 0.00484 From time 7.379 to 7.384, in 1 step of 0.00532 From time 7.384 to 7.39, in 1 step of 0.00585 From time 7.39 to 7.396, in 1 step of 0.00644 From time 7.396 to 7.404, in 1 step of 0.00708 From time 7.404 to 7.411, in 1 step of 0.00779 From time 7.411 to 7.42, in 1 step of 0.00857 From time 7.42 to 7.429, in 1 step of 0.00943 From time 7.429 to 7.44, in 1 step of 0.0104 From time 7.44 to 7.451, in 1 step of 0.0114 From time 7.451 to 7.464, in 1 step of 0.0125 From time 7.464 to 7.477, in 1 step of 0.0138 From time 7.477 to 7.493, in 1 step of 0.0152 From time 7.493 to 7.509, in 1 step of 0.0167 From time 7.509 to 7.528, in 1 step of 0.0184 From time 7.528 to 7.548, in 1 step of 0.0202 From time 7.548 to 7.57, in 1 step of 0.0222 From time 7.57 to 7.595, in 1 step of 0.0245 From time 7.595 to 7.622, in 1 step of 0.0269 From time 7.622 to 7.651, in 1 step of 0.0296 From time 7.651 to 7.684, in 1 step of 0.0325 From time 7.684 to 7.719, in 1 step of 0.0358 From time 7.719 to 7.759, in 1 step of 0.0394 From time 7.759 to 7.764, in 2 steps of 0.00277 From time 7.764 to 7.767, in 1 step of 0.00305 From time 7.767 to 7.771, in 1 step of 0.00335 From time 7.771 to 7.774, in 1 step of 0.00369 From time 7.774 to 7.779, in 1 step of 0.00406 From time 7.779 to 7.783, in 1 step of 0.00446 From time 7.783 to 7.788, in 1 step of 0.00491 From time 7.788 to 7.793, in 1 step of 0.0054 From time 7.793 to 7.799, in 1 step of 0.00594 From time 7.799 to 7.806, in 1 step of 0.00654 From time 7.806 to 7.813, in 1 step of 0.00719 From time 7.813 to 7.821, in 1 step of 0.00791 From time 7.821 to 7.83, in 1 step of 0.0087 From time 7.83 to 7.839, in 1 step of 0.00957 From time 7.839 to 7.85, in 1 step of 0.0105 From time 7.85 to 7.861, in 1 step of 0.0116 From time 7.861 to 7.874, in 1 step of 0.0127 From time 7.874 to 7.888, in 1 step of 0.014 From time 7.888 to 7.903, in 1 step of 0.0154 From time 7.903 to 7.92, in 1 step of 0.017 From time 7.92 to 7.939, in 1 step of 0.0187 From time 7.939 to 7.96, in 1 step of 0.0205 From time 7.96 to 7.982, in 1 step of 0.0226 From time 7.982 to 8.007, in 1 step of 0.0248 (1893 steps total)
run2 = []
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
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
run2.append(dynamics.curve_intersect(t_start=3., t_end=4., chem1="A", chem2="C"))
run2.append(dynamics.curve_intersect(t_start=3., t_end=4., chem1="B", chem2="C"))
run2
[(1.5780067649840679, 499.999999999999), (2.3232195286058, 40.37131994241191), (3.0085519261791998, 31.292420179037926), (3.260088742083356, 36.19449057022661)]
dynamics = UniformCompartment(chem_data=chem_data) # Note: OVER-WRITING the "dynamics" object
dynamics.set_conc(conc=initial_conc, snapshot=True)
dynamics.describe_state()
SYSTEM STATE at Time t = 0: 5 species: Species 0 (A). Conc: 100.0 Species 1 (B). Conc: 0.0 Species 2 (C). Conc: 0.0 Species 3 (E_high). Conc: 1000.0 Species 4 (E_low). Conc: 0.0 Set of chemicals involved in reactions: {'E_high', 'C', 'B', 'E_low', 'A'}
dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()
dynamics.single_compartment_react(initial_step=0.0004, target_end_time=0.03, variable_steps=False)
75 total step(s) taken
dynamics.single_compartment_react(initial_step=0.0005, target_end_time=5., variable_steps=False)
9940 total step(s) taken
dynamics.single_compartment_react(initial_step=0.0025, target_end_time=8., variable_steps=False)
1200 total step(s) taken
dynamics.get_history()
SYSTEM TIME | A | B | C | E_high | E_low | caption | |
---|---|---|---|---|---|---|---|
0 | 0.0000 | 100.000000 | 0.000000 | 0.000000 | 1000.000000 | 0.000000 | Initialized state |
1 | 0.0004 | 99.640000 | 0.360000 | 0.000000 | 1000.000000 | 0.000000 | |
2 | 0.0008 | 99.281728 | 0.717120 | 0.001152 | 1000.000000 | 0.000000 | |
3 | 0.0012 | 98.925635 | 1.071381 | 0.002984 | 999.999539 | 0.000461 | |
4 | 0.0016 | 98.571979 | 1.422804 | 0.005218 | 999.998349 | 0.001651 | |
... | ... | ... | ... | ... | ... | ... | ... |
11211 | 7.9900 | 10.018459 | 30.006885 | 59.974656 | 32.330771 | 967.669229 | |
11212 | 7.9925 | 10.018385 | 30.006858 | 59.974757 | 32.330481 | 967.669519 | |
11213 | 7.9950 | 10.018312 | 30.006830 | 59.974858 | 32.330192 | 967.669808 | |
11214 | 7.9975 | 10.018239 | 30.006803 | 59.974958 | 32.329904 | 967.670096 | |
11215 | 8.0000 | 10.018166 | 30.006776 | 59.975058 | 32.329618 | 967.670382 |
11216 rows × 7 columns
dynamics.explain_time_advance()
From time 0 to 0.03, in 75 steps of 0.0004 From time 0.03 to 5, in 9940 steps of 0.0005 From time 5 to 8, in 1200 steps of 0.0025 (11215 steps total)
dynamics.plot_history(chemicals=["E_high", "E_low"], colors=["red", "grey"])
dynamics.plot_history(chemicals=["A", "B", "C"])
run3 = []
run3.append(dynamics.curve_intersect(t_start=1., t_end=2., chem1="E_high", chem2="E_low"))
run3.append(dynamics.curve_intersect(t_start=2.31, t_end=2.33, chem1="A", chem2="B"))
run3.append(dynamics.curve_intersect(t_start=3., t_end=4., chem1="A", chem2="C"))
run3.append(dynamics.curve_intersect(t_start=3., t_end=4., chem1="B", chem2="C"))
run3
[(1.5782924165400347, 500.00000000000097), (2.324314772661154, 40.369610560733825), (3.0100101552808494, 31.29190450449909), (3.262685299694276, 36.193867736703666)]
Run #3, at high resolution, could be thought of as "the closest to the actual values"
# Discrepancy of run1 from run3
num.compare_results(run1, run3)
0.00032919271043321753
# Discrepancy of run2 from run3
num.compare_results(run2, run3)
0.0037047978947051976
Run 2 (with a lot fewer points than run 1), not surprisingly deviates a bit more from the (presumably) highly-accurate run 3
run1
[(1.5782463316015305, 499.9999999999999), (2.324208426199163, 40.36968965779538), (3.0098252303164066, 31.29187589510951), (3.2624567026161637, 36.1939052299051)]
run2
[(1.5780067649840679, 499.999999999999), (2.3232195286058, 40.37131994241191), (3.0085519261791998, 31.292420179037926), (3.260088742083356, 36.19449057022661)]
run3
[(1.5782924165400347, 500.00000000000097), (2.324314772661154, 40.369610560733825), (3.0100101552808494, 31.29190450449909), (3.262685299694276, 36.193867736703666)]