From 74e29842d9e80bef067ca71ed4171327944168ef Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Mon, 30 Jun 2025 20:28:55 +0200 Subject: [PATCH 1/8] first range of reviewer comments --- docs/sphinx/source/tutorial1/tutorial.rst | 4 ++-- docs/sphinx/source/tutorial2/tutorial.rst | 1 + docs/sphinx/source/tutorial3/tutorial.rst | 10 +++++----- docs/sphinx/source/tutorial4/tutorial.rst | 5 +++-- 4 files changed, 11 insertions(+), 9 deletions(-) diff --git a/docs/sphinx/source/tutorial1/tutorial.rst b/docs/sphinx/source/tutorial1/tutorial.rst index 9cada2d6..1c2a4af7 100644 --- a/docs/sphinx/source/tutorial1/tutorial.rst +++ b/docs/sphinx/source/tutorial1/tutorial.rst @@ -274,7 +274,7 @@ initially positive potential energy is expected, as the atoms are created at random positions within the simulation box, with some in very close proximity to each other. This proximity results in a large initial potential energy due to the repulsive branch of the -Lennard-Jones potential [i.e., the term in :math:`1/r^{12}` in +Lennard-Jones potential [i.e., the term :math:`1/r^{12}` in Eq. :eq:`eq_LJ`]. As the energy minimization progresses, the energy decreases - first rapidly - then more gradually, before plateauing at a negative value. This indicates that the atoms have moved to reasonable @@ -311,7 +311,7 @@ command is introduced to specify the thermodynamic information LAMMPS should print during ``PART B``. This adjustment is made because, during molecular dynamics, the system exhibits a non-zero temperature :math:`T` (and consequently a non-zero kinetic energy :math:`K`, keyword ``ke``), which are useful to monitor. -The ``pe`` keyword represents the potential energy of the system, :math:`E`, such that +The ``pe`` keyword represents the potential energy of the system, :math:`U`, such that :math:`U + K = E`. Then, add a second ``Run`` category by including the following diff --git a/docs/sphinx/source/tutorial2/tutorial.rst b/docs/sphinx/source/tutorial2/tutorial.rst index 516b33a9..61c2c728 100644 --- a/docs/sphinx/source/tutorial2/tutorial.rst +++ b/docs/sphinx/source/tutorial2/tutorial.rst @@ -357,6 +357,7 @@ from the typical dependency of bond energy with bond distance, The CNT starts deforming at :math:`t = 5\,\text{ps}`, and :math:`L_\text{cnt-0}` is the CNT initial length. b) Evolution of the total energy :math:`E` of the system with time :math:`t`. Here, the potential is OPLS-AA, and the CNT is unbreakable. + The orange line shows the raw data, and the blue line represents a time-averaged curve. Importing YAML log file into Python ----------------------------------- diff --git a/docs/sphinx/source/tutorial3/tutorial.rst b/docs/sphinx/source/tutorial3/tutorial.rst index 68b889fc..4c2b486f 100644 --- a/docs/sphinx/source/tutorial3/tutorial.rst +++ b/docs/sphinx/source/tutorial3/tutorial.rst @@ -35,7 +35,7 @@ angles, and dihedrals used in the simulation, here ``harmonic``. With the ``pair_style`` named ``lj/cut/coul/long``, atoms interact through both a Lennard-Jones (LJ) potential and Coulomb interactions. The value of :math:`10\,\text{Å}` is the cutoff, and the -``ewald`` command defines the long-range solver for the Coulomb +``kspace_style`` command defines the long-range solver for the Coulomb interactions :cite:`ewald1921berechnung`. Finally, the ``special_bonds`` command, which was already seen in :ref:`carbon-nanotube-label`, sets the LJ and Coulomb @@ -177,16 +177,16 @@ Let us also extract the volume and density every 500 steps: thermo_style custom step temp etotal v_myvol v_rho Here, several variables are defined and used for converting the units of the -density in kg/mol: The variable ``myoxy`` represents the number of +density in :math:`\text{kg/m}^3`: The variable ``myoxy`` represents the number of atoms divided by 3, which corresponds to the number of molecules, :math:`N_\text{H2O}`, -and the variable ``myrho`` is the density in kg/mol: +and the variable ``myrho`` is the density in :math:`\text{kg/m}^3`. .. math:: - \rho = \dfrac{N_\text{H2O}}{V N_\text{A}}, + \rho = \dfrac{N_\text{H2O} M}{V N_\text{A}}, where :math:`V` is the volume in :math:`\text{m}^3`, :math:`N_\text{A}` the Avogadro number, and -:math:`M = 0.018`\,kg/mol the molar mass of water. +:math:`M = 0.018 ~ \text{kg/mol}` the molar mass of water. Finally, let us set the timestep to 1.0 fs, and run the simulation for 15 ps by adding the following lines into **water.lmp**: diff --git a/docs/sphinx/source/tutorial4/tutorial.rst b/docs/sphinx/source/tutorial4/tutorial.rst index d0e07504..2e5d6ff2 100644 --- a/docs/sphinx/source/tutorial4/tutorial.rst +++ b/docs/sphinx/source/tutorial4/tutorial.rst @@ -344,7 +344,7 @@ to **equilibrate.lmp**: thermo 1 thermo_style custom step temp etotal press -Let us perform an energy minization by adding the following lines to **equilibrate.lmp**: +Let us perform an energy minimization by adding the following lines to **equilibrate.lmp**: .. code-block:: lammps @@ -443,7 +443,8 @@ the end of the simulation. Figure: a) Pressure, :math:`p`, of the nanosheared electrolyte system as a function of the time, :math:`t`. b) Distance between the walls, :math:`\Delta z`, as a - function of :math:`t`. + function of :math:`t`. The orange line shows the raw data, and the blue line + represents a time-averaged curve. Imposed shearing ---------------- From 1061ce4ea24c0c58d1d235218e73cd02a30f8690 Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Tue, 8 Jul 2025 22:39:07 +0200 Subject: [PATCH 2/8] removed custom v_rho --- docs/sphinx/source/tutorial3/tutorial.rst | 23 ++++------------------- docs/sphinx/source/tutorial4/tutorial.rst | 1 - 2 files changed, 4 insertions(+), 20 deletions(-) diff --git a/docs/sphinx/source/tutorial3/tutorial.rst b/docs/sphinx/source/tutorial3/tutorial.rst index 4c2b486f..0b26b557 100644 --- a/docs/sphinx/source/tutorial3/tutorial.rst +++ b/docs/sphinx/source/tutorial3/tutorial.rst @@ -163,30 +163,15 @@ Let us output the system into images by adding the following commands to **water acolor OW red acolor HW white & adiam OW 3 adiam HW 1.5 -Let us also extract the volume and density every 500 steps: +Let us also extract the volume and density, among others, every 500 steps: .. code-block:: lammps - variable myvol equal vol - variable myoxy equal count(H2O)/3 - variable NA equal 6.022e23 - variable Atom equal 1e-10 - variable M equal 0.018 - variable rho equal ${myoxy}*${M}/(v_myvol*${NA}*${Atom}^3) thermo 500 - thermo_style custom step temp etotal v_myvol v_rho + thermo_style custom step temp etotal volume density -Here, several variables are defined and used for converting the units of the -density in :math:`\text{kg/m}^3`: The variable ``myoxy`` represents the number of -atoms divided by 3, which corresponds to the number of molecules, :math:`N_\text{H2O}`, -and the variable ``myrho`` is the density in :math:`\text{kg/m}^3`. - -.. math:: - - \rho = \dfrac{N_\text{H2O} M}{V N_\text{A}}, - -where :math:`V` is the volume in :math:`\text{m}^3`, :math:`N_\text{A}` the Avogadro number, and -:math:`M = 0.018 ~ \text{kg/mol}` the molar mass of water. +With the real units system, the volume is in :math:`Å^3`, and +the density is in :math:`\text{g/cm}^3`. Finally, let us set the timestep to 1.0 fs, and run the simulation for 15 ps by adding the following lines into **water.lmp**: diff --git a/docs/sphinx/source/tutorial4/tutorial.rst b/docs/sphinx/source/tutorial4/tutorial.rst index 2e5d6ff2..3d2f0d02 100644 --- a/docs/sphinx/source/tutorial4/tutorial.rst +++ b/docs/sphinx/source/tutorial4/tutorial.rst @@ -168,7 +168,6 @@ must be located next to **create.lmp**. The **parameters.inc** file contains the mass Cl- 35.453 mass WALL 26.9815 - Each ``mass`` command assigns a mass in g/mol to an atom type. 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JCakUzFU9rjP6R9OXdShXr3/+s9748hftP3bcpscOCuiiKWOGKvqKIfL1buOgCiWDwaCE2HEKjn1Rx0+dqdS252Cu/vbOav3n3rEOO76zrd64Q5OfWVbvtRQLi0v0xa+/64tff9f9i5IVHNRVEReXja4ael6PJrXA9unCIt36VJJSrIS+J88U6e7/fqivN+3Uy7Hjmt0ox6rWb9+ryCfftvnnomdno26/8nzdduX56tvAEUr+nYyKumKIoq4YIknad8SkbzN265s/RwRWnRaxLk6dKVLy+m1KXr9NknRRX/8/Q8D+GtK7OyeRDpZXcEpz/ve5Xl31U6Xtew+b9M5XG/TOVxskSed276DLg3vr8pDeuiKkV4MD2tyCU7p/4Wd695tNNe7Xzc9bi+4br8ih/Rt0vPowGAx67t4IDZnxkkpKK4+qTflpu1b98ptGX3ie0+tqioqKS5R9OE+5BafUp3tHh35msJei4hK9teZX3XnVBfJwd3d1OWhEGjpizx7BobV15WNiYhQVFaXp06dXCvOSk5M1a9YsmUymSuu4l7N1zUIAQMuxLDVdT777ldW2vud01LJHJ8nTg89JANBUEPw1UHp6esXt2NjYaqf6NJlMla66rMu6DGcLCgqqdD8rK8up/aPpKS0t1d4jJm3de1jb9h7W6o07tOqX32U2m+vcRytPD908YrCmjL5Ylw0MdNqX8j07++qpO6/RjFc+s2h78bN1mhAerKH9ejqlFkcpLS3V0+9/q78lrrHp/6Q2GXsOKmPPQT39/rfq5NNWYy/up4iL++uaC/rIp63zRs/Y6uTpQo2PX6LVtYxATfx6o9b/tk9LZ09UaO/uTqrOub5O36Ub/vWOCk4V1mn/tq08dePwQbp91AW6IqSXw9Z/7FElCNx7OK/S1KD1CQJ//j1HP/+eo38sWaMenYyKuLhsCtsrQ3urtZf9pgQtKi7R0eMndcR0suzv/BMynTitc7t31LD+PdWqBSxI/8n3WzTjleV1uuhj5/5j2rn/mF7/4mdJUv8enXVFaO+yMDC4lzoZ29X5uCt/3q4pL36sP2o57sSRIXox5jp19Glb577tbWBAF8VGXKKXPvveou2hV1M0KvRcvuyQVFJSqj+O5Wv3wVztOZinPQeP/Xk7V7sP5irnaL5KS8t+r7Vt5anZN4dr9i0jG+2/3bqtWZq24FNlZh3UydNFuv/64a4uCU1Y1WDNHkFbeHi41RBvyZIlWrJkiSRVGhVoNBq1atUq5ebmVnpMYGCgzeeIAICWYf32vbrrvx9abfNt11rL/367OrR33ed0AIDtmv83XQ5kMpkqRtkFBwfXOAVK1RF0tk6zUnUE39mj85zRPxqvwqJi/f7H0T8DvkPatu+Itu07pO37jujkmaJ69XmefydNGX2xbh91gcu+hI0ZM1RLv03X2i2VQ+jSUrPuffFj/fTfWHk10S/rcwtO6c7nPqgY9WRN21aeeiEmUqVms5LXb9PqjTt1ysb/zyP5J/X2mg16e80GeXq4K3xwkK77c3RVr24dGvo07Ob4yTMa98+3lZq5p077/5ZzRJc+vFD/uXespo4Z2qxGiS3/casmPr1UZ4qKa9135OBeum3U+br5ssFq39b5IyB7dvZV9BVDFP1nEJh9KE8rf/lNyeu36atNO3W6sPbncLZ9R0xatHK9Fq1cr7atPHXV+X0UObS/Ii7up25+7Sv2Kywq/jO8K/tzNL8syDtWZdvR/BM6evyUjuSfUP7JM9Ue95wO7fXwjWG6d/TFzW4aYUk6kHtc9y9M1offZda7j237DmvbvsN6JeVHSVJIULeyIDCkt8IHBVkd0ZV/8rQeeW1lRXhYnY4+bfVy7DjdMqLu6ys70t+jRundbzdZjLbdvu+IElJ+0APXX+aiypzHbDbrsOmEdh/M1e4DZYHenkNlod6eA7nKOpynouKSOvV18kyR/r5kjT78brNee/BGXdin8az5lVtwSo9WGQH7ROKXuvGyQerRiXAE9ZOXl+eQfuPi4hQYGKjZs2dbbS8P/QIDA5WUlKTAwEAlJlZetzQiIqLex4+Pj9fAgQPrvD/r+wFA07H3cJ7G/zvR6vmbu5ub3nt0MutdA4ADTJw4UWFhYXXef8uWLTZNwd80vzVvJGbOnCmTyaTAwEAtW7asxn03bao8vZWtV3/WNk2Mo/uH65lOnNa2fYe1de9hbd93WFv3HtK2vYe160CuxbRk9eHp4a7xlw5UzJihGhncy+VhipubmxbdN17n3/eSCqt8wZiZdVDPfJCqxydd6aLq6m/jrj90y9wk7TpQ/eio8/w76YPHJmtQYFdJ0j3XXqxTZ4r0dfoupfy0Tcnrt2vfEct1W2pSVFyiNRt3as3Gnfrrqyt025VD9EJMpMtHAeYVnFLE39/SD9v32vS4M0XFmpGwXF9v2qXF993QJKaSq82SrzfqL89/WOPruVdXP90+6nxFX3m+ejei8FaSArr4KmbMUMWMGaqTpwu1etNOJf+4TSk/bdOB3AKb+jp5pkjLf9iq5T9slSQN6NlZpwqLdTT/pMUUwA31x7Hjevi1FZr73jd6YNxwTY8c1ix+nsxms9788hfNfH2l8k6ctmvf6XsOKH3PAb3w6Tq5uRl0wbnnVKwROGJgoNb/tk93//cjZR/Oq7Gf64cN0CvTb1BXP2+71tcQft5t9M/oqzQ9YblF25PvfqXJlw9RZxtGPDZ2R/NP6r21Gdqafahi1N6eg7n1vnCoOul7DujShxbqkRtH6G+Tr7TriF5bmc1mJX2brodfS9GhvMrrTRacKtQDi5L1YZxta36j+ag6Iq6hQZ49z7Gio6N13XXXacmSJVq+fLmys7MrzkUDAgIUGRmp6Ojoiv3PXv9dksaNG1fvYw8cOFBDhw6t9+MBAI1TwakzuuFfidWer7007TqNGnKuk6sCgJbB39/foRfMEfzV06xZs5SSkqLg4GAtW7as1mlTGro+hJ+fX6X7VU9CHd1/c/D666/btb9BgwZp2LBhNe7zww8/aPPmzTb1W1xSohOni3SqsEinzhTpVGGxThUWVVxd/8bWmkfRtPWQJvat+0u7laeHuvh6q4uxnTw9TmjnT19r509fV9pn6NChCg6ueTTGmjVrtGfPnjoftzZt27bVpEmT9MSkK/TEO6st2uOXfaNRA7pryy/r7HZMSbriiivUu3fvGvdZvny5Dh8+bHPfh00ntOvAMV3uZ9blfv//f3TolFnJe8r+f8cPH6Q3HrzRIpDbn7NX+9PX6oJW0vkjOujkmfbKLTilvILTKjhdjyDkjwxd9fAuJTw0WRf17VHtbklJSTp5sn7rD1oTFBSkUaNGSSr7wnn0E2/q151/VNpnUAc3XdLVTe5ubvLv6KOco/nVh2HHtunxuc+q7zkda1z3b+LEiWrXruYv6135HnEg97j2HMzVHf3cJFlO1Wls11r+HX3Uvk0rGU7t0dcpe/S1ZXeSpLvvvrvGY544cUJLly6t47Oom6rvEW1be2ncJQM07pIBKi0t1S87/lDKys+Ve/iATp6p2xSmleWW/dVBKv/ocqJIWraj5vfDLm0Migyq6/SChdrzyzeasyFVXf281d2vvdWpCR35HlGdzp071/qF7a5du/T112U/FacLi7TrQK7yT57WjQFSdR/33AwG+bVvqxOnz1i9wjd5T4kOnap5KuJberurncdBHdt6UB9u/V4fyiDJrKs6Sepk/bjubm4K6uqnTj6nlfxR5Qunzn6PqE5GRobWr19f4z62Ovs94t5rL9aiFeuVvudApX1uCijWfxck2C10d9TniNrcfffdMpvNWrRyvR55faXFaPK2HtJdA+x7ivDjwVJtPlaqeR+k6pMftui1B27U8AGVZ6dw1OeIs+3446imv7K8Ylrps98jyj9fffL9Fi3/cavGXTLAbrWg6ah6TmTrOVbV/YcMGdLQkioxGo2KjY1VbGxsrfuuXbu20uNq+ywPAGhZSktLdft/3tfGXfuttt933aWKGcNFHwDQVBH81eLstRJMJpPS0tI0d+5cZWVlVYz0q8taCbm5uQ2qo+rVolVPKh3df022bNli07EcnWZXZ9++fXbtr0eP6sOSciaTqUHH9ZTk6Sb5tJashQHWuBukHt62rPFVKvOpfB08Vf3/eV2m9jl27Jhd/43bty+b2m/mTeF6Py3T4gvYwuIS/fvd1RrazvZ1xWpy6tSpWvc5fPhwvZ+rfzuDpKqjKUvl7uamp++8Vn8df5nV0ZanTp2yekxfD8nXpv/v//dFdr5GzFysp++8Vg9cP9zqcffv36/jx2tfE6yuyt9rDuYW6JrH31Bm1kGLfdp7/v/PcOmpfHVvK9X881+qvKOHlVfDHiUltU9L54r3iLy8vIrj1vy6LVT+sSNq2CUeZUpKSuz+XGt6j3Bzc9PF5/XQnk0+2pK3Tx087bMGYX5h7WtjernZ+n74pzMFOnjA+lWvjn6PqK+q7xE+bpJPXZ576Sm18VLZP1YVXm61v266tzPIx6vqe0ftI8bPHM9VznHLzy51GR1TUFBg93/fs98j3N3d9N+YSF356GuV9unh7SYVn9S+ffa5GMIZnyOs9nnitKa89LE+WGt9+lfbP0fUbsux/794Y/u+Iwqf9apmRA5T/B3XVEyx66jPEVLZFMHPfpSmfy/9ptJUytbeI4KDuqqbb+MZhZqTk6OcnJw672/r53JUVvU9yNYwuuo5WdXlFJwlIyOj0vrvM2bMcEkdAIDG6/G3v9Snf86wUtW1F/bVs/eMcXJFAAB7IvirxcyZM5WSkmK1LSsrSwMHDlRwcLDGjRtX45WXZ594SfafWtPR/dfElrllJemhhx7Sww8/7KBq0Nx4erjr1QfG69KHF6q0tPIX/ZlZBzV0oOumC7MXT3d3fRl/p0YG93L6sYuKS/Twayu0ZtNOvfngTerkhCnsco6YdPXjb2j7viNW233atpJUt/WjmjKz2azvtmTxixh2sedQwy4Asmb2rSP1/e5cfZ2+S/uP2e8CgKZgZHAv3TxicLXhWFN24f0LtPug/X9ebGE2m/XSZ98ref02LbpvvEOnkErN3K3Ylz/V1r01j8Jt28pTf588Sg9cP9zqaF9XWbp0qZ577jlXl9FihIaGVrpv6ywoVS+etHXddXuJj4+vVENdRggCAFqOt9ds0LwPUq22DQzooqRZE+Xh3ng+DwEAbGffy3mbofIpUgIDAxUWFqaIiAiLE7iMjIyKBc+rrqVQnYZOzVlbsOfo/tF4eTWiL6vs5aK+PfTXGy5zdRkOExzUzSWh39lW/LRd59/3kr7N2O3Q45w4XajL57xWbegX0NlXsRE1T33XHJSUlGray5/q59/rPooDdWNs11q9u3XQ0PN6aFj/nnbvf+9h29bXdLTThUWKe+sLPfrmF3bv+7qh/fXOI7dq71uztWXhg1oQO043jxisTj5t7X6sxmjeX0artVfzi+ZdHfqdbffBXF3z+BuKeenjiinN7aXUbNY9L3ykK+a8VmvoJ0kZCQ/okZvCGlXoB+erOkIvM9O28D87O7vSfVdMr5mRkaG0tLSK+4899pjTawAANF5rN+9RzEsfW23r5NNWn/7tNhnbtbbaDgBoOprftxl2NmPGDEVFRVmdzjM+Pl4JCQkV900mkyZNmqSkpCSFh4fbtQ5fX98a7zf2/mF/xnatNaBHZ/Xv2VkDenZRvx6dNKBnF3Vs464XX3zB1eXZ3T8mj9In32/Rzv32ndqzMfDybBxfMv5x7Liuintdj0+4Qo9PvELu7va/NuSbjF3adeC01bbe3Tpo9dy79MfObXY/bmNSVFyiO577QMtS03VNz8bxf98U+bZrrfcfu0Ud27dVJ5+26uTTTh3at6n0pf3evXv1xhtv2PW4j7y+QovX7tKjt16ui8+rfapGR0rN3K2Ylz7RbzlHNMDPIMkxP08Gg0H9enRWvx6dNW3sJSotLVVm1iF9k75LBzd+peY6Qjeoq58euTFM/15a3YqazUs3P2/16tpBfTp7S6d32LXvHp2MUg2B42uf/6wzA1qrlx1n2DyYW6A3N/5S4z5lIXbZGodBXf1q3Bctg9ForFjiQSqb4cUWZ08NGhYWZs/S6mzmzJmVaoiMjHRJHQCAxmf3gWO6KX6JCq1ccOXp4a4PHouy23rWAADXIvirRU3TosTFxSksLEyTJk2qtH3q1Kl2X1/D1mlmnNl/+WjHunLF+n5S3dbSsUVd1nY0Go11Om5pqVnrf9trtc3Lw12tvTzVtpWnWnt5aPXccRrQs7O6+npbXZPtxIkTdn+u3t61fxPXoUMHux63bdvKI0ratvbSwhk36Oq4//8Sv7BU2ldQtm7Qud07qrMdpqls06ZNrft07ty52rbikhLt+OOY8k5Uvw6Ym5ubzu3WQR3/HDVTU39n12WPf1+z2ax9R0zKOZqvwlLL9tJSs/6Z9JW+ydilxEduVffu3ev0s16bk2eKtHXvIe0zFVlt79ejk778913y72RU/kHvWp9r2fPIV87RmkdfGdu1Vp/uHeVeh2lKnPEecepMkW59OkkrftouScorNFf8DJfr1a2DujpwfSl3d/dm8x5x4/BBNe7j5eVV52MWnDqjnKP5yi2oeQ2/08XSpz9s1ac/bNVV5/fRY7dervDBQZXej+vymrZF1f5MJ07r0f99rkUr11eqq+rPkiR19fVWQGffegX5Xl5eVre7ubkppFc3hfTqpqSTWTpx4oROnC5U/skzyj95RmeKi9WulZf8O/mojZdt0zF36FD7Fw3e3rW/R9iquveIWTeH63+rf9W+IyaLf98eHY3q0bn+74/2/BxRnfyTZ7TjjyNWv9wp19Gnrd78602KuLi/pLLPEUuXLq33Ma254aKLdNHvJv19yZpKa+ydbV9+kTxlUCefdgrs6ivPekwvdepMkXYfzFX+ydM6Yf3XjaSyMHt65DA9MDpUX6+2/2hZe5o4caJNAdKWLVtsnoYflY0YMaLSUg8ZGRl1HrmXnp5ecdveF4LWxaxZs5SRkSGpbMaaRYsWOb0GAEDjlH/ytK7/5zs6km99veqFM25Q2OAg5xYFAHAYgr8GCg8PV0RERKWTQ5PJpOTk5EpXV1b9cqehQV7VqTgd3X9NBg4cqKFDhzboeM5w9913O/2Yw4YN07BhtU9b+MuOHE39NMFi+zN3jdbDN9p2tXC7du1c8lxHjRrl8GNcGXqu7rrmQr3xRdkV/IdOmfXG1rIvEDvmHNfmV+62S/hXm3HjxlndvmHnH7p57rvac7D6tbD69+isD+Ima0DPLjYds3fv3urdu7dNj6nJV5t2asWz70mnCqy2p2bu0fn3L9Cbf71Jk/78Mri+Nu3ar2ufeFOHTWestgcHddXn/7pLXf3KwqPg4OA6f8G2ZuNO3fbsezqYZ/15SAXq5if1veRArWtIOfp1U36ilZq5p2Lb+oOlWn+wLEzwcHfTWw/dookjQxxaR3N+j6iqa9euNj/XzD0HNe+Db7U0Nd1iXdGqVm/YodUbduiygYF69NaRGn3heTIYDNW+R9jD8h+3akbCcuUcrTyl9+7jZu3e+v+BSr8enbT4vvEaMSjIYbVIsrj4yRlseY9oqHatvfT0X65V9Pz3Kn7flGvtZdLWhXcpoIuvw45f188RVZWUlOrp97/VPz5dU+PPcdigICXOvLVsRN6fHPUeERoqjRs2QPe++LG+22I5iurrnBJ9nSNJJnXxLdZLU8umlq2L04VFmvd+qp7+7NsaQ05JOv/c7npl+g0VI3Z7u+D90Bb+/v4uu2iupRo3blylc7u0tLQ6v+eUh26SFBUVVeO+JpNJaWlp8vHxsUtImJiYqCVLlkgqC/1Wrlxpl4u3AABNX0lJqSY/s0ybsw9ZbZ95U5juvOoCJ1cFAHAk1vizg/nz51tsq7rWn59f5emDbF2Dr+r+Q4YMcWr/cKxNu/Zb3R7au7uTK2n8nrlrjLr5WY4uOpp/Ug8uTnZBRWXe+OJnXfbIIu2pYSqzm0cM1g/PTbM59HOEK0PP1YaX7tO1F/atdp+j+Sc17sl39PCrK1RYzQiN2vz8+z6Neux1HTadsNp+wbnnaM3ceypCP1uNGlL2PGoK9Q7kFujaJ97U3xNXq7jENVMSHjGd0FWPvV4p9Dtbay8PffR4lMNDP9RucFBXvfPIrdq26K+659qL6rTe13dbshT5j7d18YMv64O1mSottTKctoEO5hZo4rylGv+vRIvQ72we7m6Km3C5fn1xhsNDv5ZiYniILhsYaLH9dGGxZr+5ygUV1Wz/sXyNfuJN/S1xdbWhn8Fg0OMTr9DquXdVCv0crV+Pzvrm6Xv0Ykyk2rW2PqJUkg7lndCEp5N089x3dSC3+otpJOnr9F06/74F+mfSVzWGfu1ae+k/94zVD89Nc/k0vWjcqk6NmZiYWKfHJSf//+fQiIiIGkO3rKwsXXrppYqJidGkSZM0ceLE+hX7p4SEBM2ePVtS2QWhSUlJhH4AgAoz31iplT//ZrVt3LABmnvHNU6uCADgaIz4s4Oqa0FIliPuqo6gO3v9h7rIza0cJlRdeN7R/cOxMvYctLo9JKibkytp/Py82+ilaeN0y9x3LdqWfpuuyZeHVkxX5gynC4t0/8Jkvf7Fz9Xu4+HupmfuGq37xw23Oj2rq3Tx9Vby32/X8598p8fe+kLFJdbDiv9++p3SNu/Wu7Mmqs85Hevcf1kY8pbyT1of6TesX0+lPHmHfL1rn161Jl39vLXqn3dq3gep1X7RbTab9e+lXys1c7cSH7lV/k78ojvniEnXPvGmtu49bLW9fZtW+vRvt2lkcC+n1YTandu9oxbdN15PTLpS//lorV79/CedOlPD3IGSNuzcrwlPJ8nNzaA2XmXTM7fx8lQbL4+zbnuqdSsPtfb0UJtWntXu17q8zdNDh00FevLdr2qdhvTivv5afP+NCunF7w57MhgMen5KhC756ysymyu/v7yXlqFpEZcofHDjeP1+8evvuuO593Uoz/rFFlLZWn5vP3xrraOgHcXNzU3Tr7tUEUP7a8pLH2vNxp3V7vvxus36Jn2Xnrs3QrddOaTS79DDphOa+fpKvfPVhlqPOW7YAL0YE6menX3t8RTQAsTFxSk+Pl5SWUiXmppa66i8BQsWVHp8TeLj4yudO6alpSkxMVHR0dE21WkymTRz5syKEYrBwcFatGiRAgMtL1YAALRMi1et1wufrrPaFtqrm955+Ba5uTEuBACaG4I/OwkICKg0tYuvr2+l9tDQ0Er3bZ2Ks+qIvKonc47uH46VvttyxF83P291ceA6X03ZjcMHafzwQfp43WaLttiXlysjIUg+bVs7vI7fco4oev4y/bLjj2r36ebnrWVzJjXakTdubm56+MYwjRgUpMnPLKt2xOIvO/7QRQ+8rFdmXK9JI0Ot7nO2b9J3adw/39GJ04VW28MHB2n5325X+7atGlR/OTc3Nz166+UKGxSkqPnvad8R62v/lU9h+r+/3qyxF/ezy7FrsnP/UV3z+JvV/rt29GmrFU/eoYv6MvqkserRyajnp0To0VtH6oVP1ykh5Ydqw+xypaVmnThdWO3Pv721beWpf912te677tJ6reWH2l3Yx19/ufqCiqmmz/bXxSla/3ysS//ti4pL9PfE1Zr3QWqN+119fh+99dAt9R5lbU9BXf30+b/+oje+/EUzX18p04nTVvfLLTilvzz/gZambtLC6TeoRycfvbn6V815c5WOHa85DO/RyagXYiJ1w6V1X4sakMrWeU9MTFRWVtm0tHPmzKlx6szExMSKc8F58+bVei6VnZ1tsa38WHWVnJysWbNmVQSIUVFReuaZZ2zqAwDQvH2dvkv3vfKZ1bauvt765Inb5N3GPufkAIDGhW+H7KRq0BcUFFTpftURdJmZmTb1X/XksOo6E47uH45jNpuVvueAxfZgRvvV6KWpkfJtZxnu7Tti0mNvfeHQY58uLNKTS9YodPqLNYZ+4YOD9EsTmW7vkn499csL02tcT+n4qTOKnv+e7nnhoxoDjc9/+V0R/3ir2n2uOr+PUv5xh91Cv7ONGBSkX1+coYgaQr2j+Sd13ZNv64o5ryp+6df6YVu2Q6YAzdxzUOGzFlcb+p3Tob2+efpeQr8moouvt+LvuEa735ipf912lTr6tHV1SZLKXk/pL9+vB2+4jNDPwf592zXysfK+tXHXfr3+ZfWjvh0t+1Cernz0tRpDP3c3N8294xqtePKORhH6lTMYDLr7mouU8fL9ihxa82j9z3/5XSHTX9Twhxdqyosf1xj6ubkZ9OD1lykz4QFCP9Tb2UFfVlaWxowZU+lCz3JnT7MZGxtbp1F71taCrev6sImJiRo+fLhiYmJkMpkUFhamdevWEfoBACr5LeeIbpn7rtWZfVp5eujjJ6IdulY1AMC1GPH3p+TkZIv1HGxRdYRdWFhYpftVpwO19YrOs6furNq3M/qH4+Qczbf65VVoL9b3q0n3Dj565u4xmvLixxZtr6T8qInhIQ4J3FZv3KEZCcv1+x9Ha9zv4RtHKP72a+q0Plhj4evdRktnT9SrQ37SXxen6HSh9XX93vzyF/2wLVtJsydaBNSf/rBFE59eWu06S5FD+2vZnIlq7eVp9/rLdfRpq0//dpte+HSd5vzvcxVVU0tq5h6lZu7R3xJXy9iutS4P7qWrz++jUUP6qO85HRs0Lev67Xs19u9vVTs147ndO+jzf/1Fvbp1qPcx4Bq+3m302IQr9MD1l+nVVT/pPx+l6Y9jNa9B5gh+3m30n3vH6vYrz29UUwg3Z139vPXExCs1842VFm1PvP2lbh0R3OCpi2316Q9bdPd/P6pxGtiAzr5aMutWDR/QeGdz8O9k1CdPRGtparoeWJSso/knre53/NQZ/fR7To19XdTXX69Mv14X9PF3RKloQYxGo77//vuKqTSzsrI0evRoBQYGavDgwcrPz1d6enrF+deiRYvqfD4ZGxur3NxcLVmyRL6+vnrsscdqvPAyOTlZy5cvr5jSUyob4Td9+nRmagEAWMgtOKXr//lOtZ8R33jwJl3Sr6eTqwIAOBOXhqssJIuJiam0ILutzh4xFxwcbPXEbcSIEZXuW7titDrp6ekVt6tbX8LR/cMx0ndbjvaTpGDWaKrVXVdfqCtDelttm/LSxzpdWPN6XLY4kHtc0fPf07WPv1lj6OfdxkvL5kzSM3eNaVKhXzmDwaApo4fqx+diNTCgS7X7bd17WMMeekULV/xYsebV+2szdOtTSdWGfjcOH6T3H53k0NCvnMFg0IM3XKbUefeqV1e/Wvc3nTitT3/YqhmvfKYBMc+r113zdc8LHynp2006lFdg07G/Tt+lqx9/o9qTrMGBXfXtvHsJ/Zq4dq299OANl2nH64/olRnX1+nnzF5uDQvW5lce1B2jLiD0c7IZ1w3Tef6dLLYfyT+pfyZ95bQ6zhQV68FFybrx30tqDP3GDRugX16c3qhDv3IGg0GTRoYqM+EB3Rpm+8wT7du00gsxkVr37FRCP9iN0WjU4sWLtWrVKkVFRSkwMFB5eXlKSUlRdna2QkJCNG/ePOXk5Nh8EWlcXJy2bNmidevW1frYTZs2ae3atYqIiNCiRYuUk5OjZ555htAPAGChqLhEE55K0m85R6y2PzHpCk0cGeLkqgAAzsaIP5WtZxccHKwFCxbUa9RfRkZGpcXZ58+fb3W/cePGVbpKMy0trc5Tap4d4kVFRbmkfzhGdcFfKMFfrQwGgxbed4NCZ7ykU2cqh3zb9x1R/LJv9K/brm7QMUpKSrX4858U99YX1a4/VG5gQBd98Nhk9evRuUHHbAwGB3XVj89N04OLU/T6F9ansDtdWKzpCcv11aZduiK0t+5f+JlKS81W9518eaje/OtN8nB3bhg6tF9P/fzCdE156RN9+F3dp0Dee9ikN7/8RW9+WbaeV2ivbho1pI+uGtJHYYMC1ba1l9XHLf9xqyY+vVRniqyPlhx6Xg+lPHmHOrRvHNNEouFaeXpoyuihuuvqC7Xi59/047a9KjhdqFNninSqsEinC4sr/i6/ffb2U2eKdbqouNqRqWfr2dmoF6dep3GXDHDCM4M1Xp4e+s89Y3Xdk29btL2c/IPuHX2xBvSs/qIJe9jxx1FNmrdUv+6sfqppLw93zb97jKZHDmty4XAXX28lzZ6oCeEhmp7wqQ7k1n7xxY3DB+m/UyLk38n6+mtAQwUHB7t0Ks24uDjFxcW57PgAgKbBbDbrgUXJWrNpp9X2W8KC9bdJVzq5KgCAKxD8/SksLEwJCQn1mvJz5syZFbdjY2OrDduq9puYmKjY2Nha+z97JGJERES1i8o7un84hrX1/Tw93NXPyogCWDq3e0c9GTVKs95YZdH2zAepumVEsELqGaJu2PmHYl/+VOt/21fjfm5uBs2IvFT/uu2qZrUwdtvWXlp8/3hdGXqupi74RMdPnbG634ffZdYYqt19zUV6Zfr1Llt/zNe7jZbNmaiFK9frkddWVDuFaU027T6gTbsP6LmP18rLw12XDQzUqCHnalToubqwj7/c3d205OuN+svzH6qk1HINBUm6MqS3Pno82iFrG8L1PNzdNe6SAfUO5YpLSqqEg2fdPlOk1l4eurCPf5McSdzcjL24n8ZcdJ5W/vxbpe3FJaV66NUVWvHkHQ4L25K+3aRpCz6t9v1Ykvp076ik2ROa/Ki3Gy4dqJHBvfTwayv01upfre4T0NlXL027rtb1AQEAAFqCl5N/0KKV6622XdzXX28+eJPc3Jj8DQBaAt7t/1S+mHpMTIxN6+MlJiZWjJaLioqq9UrMs9uzsrKUmppa6zEWLFhg9fGu6B/2l757v8W2gT07y8uTXL6uHrh+uC7sc47F9uKSUt374kcqLql9JM3Zjp88o4deTdHQvybUGvpd3Ndf65+P1fNTIppV6He2iSND9MuL03VRX9u/RJ4eOUwLZ7gu9CtnMBg0bewl+v3Vh/XUnddqVOi5alXP11hhcYm+Tt+lx9/+Upc+vFBdJsdr9BNv6o7nPqg29Lvukv767B+3E/qhWh7u7vJu00qdjO3Us7OvzvPvpJBe3XRJv566PKS3hvUPIPRrRP5zz1h5WHlf++LX35Xy03a7HstsNmvPwVxNefFjRc9/r8bQb+LIEP30QmyTD/3K+Xm30RsP3qQVT96pgM6+Fdvd3dz0yI1hynzlAUI/AAAASW+v2aC/vppitc2/o48+fiJabVo5ftkNAEDjQPD3p7NH6Y0ZM6ZO6/0lJCRo9uzZkspG+tVl+pfY2NhKazHMmTOn0jShVZ0dLM6bN6/WdRwc3T/s63RhkbZbmXc9OIhpPm3h4e6uV++/0eqXsD//nqMXP/2+Tv2YzWZ9+F2mBk37r174dF2101ZKkk/bVlow7Tp99+xUnX+uZejY3JzbvaPSnpmiv95wWZ0f88iNYXohJrJRXVF4Tkcfzbo5XF/E36WjSx/X5//+i2beFKYLzj2n3iN08k6c1pcbdlSsdVjV5MtD9f6jk52ytiEA5+jXo7Puu+5Sq20Pv7pChdVM91sXJ04XKjVzt575IFU3/jtR/rc9rXPvfrbaaZclqU0rTy2+f7wSH7lVPm1b1/vYjdW1F/bV1kUP6rO/367F94/Xrjce0by7RqtdNdMuAwAAtBRms1nz3v9Wf3n+A6vfYbRt5alP/3abunfwcUF1AABXYUjRWYxGo0wmk0wmk2JiYhQcHKzHHntMoaGhlaa/TE1N1dy5c5WRkaHAwEA9/fTTCg8Pr/NxVq5cqUsvvVQmk0lZWVkaM2aMFi1aZDFFaEJCguLj4yWVBXrR0dGNon/Yz+bsQ1Y/mIX26u6Capq20N7dNevmcM1d9o1F29+WrNb1lw7Qud07Vvv43QeO6b6Fn1lM3WbNxJEh+s89Y9XNr31DSm5yvDw99Ow9Y3VFaG/95fkPdTT/ZLX7PjHpCv198qhGvbZUm1aeuurPdfsk6YjphL5K36U1G3do9cad2nMwt8HHmBZxiV5sZOEnAPt4YtKVSvx6ow6bTlTavmP/Ub24/Hs9clNYrX2YzWbt3H9MP2zfqx+2ZevHbXu1afeBakcPWzMwoIuSZk3U4KCuNj+HpqS1l6fGXtzP1WUAAAA0GiUlpfrrqyl6OfmHavd5++FbWsTFygCAygj+zjJixAilpPz/sPiMjAxNmjTJ6r5Go1FxcXF1WkPP2mO///57zZw5UykpKcrKytLo0aMVGBiowYMHKz8/X+np6RUj9RYtWmTTuoOO7h/2k77bcn0/SQqu55p0LV3chMv14XeZ2r6v8ijKU2eKNPWlT/RF/F0WQVRhUbGe+/g7/XvZ1zp1pqjG/vt076gFseN09fl97F57UxJxcX9teHGGbnv2fX2buduiPf72azTn1pEuqKxhOhnb6dawYN0aVnaRxM79R7V6406t2bhTX23aqdyCUzb19+itI/Wv265u1OEngPoztmutf99+tWJe+sSi7d9Lv1b0lUMsLhApOHVGP/2eox+2Zev7rdn6cfteHanhIora3HXNhXphSqTaMvINAACgRTldWKTb//OBPvwus9p94m+/RuOHD3JiVQCAxoLg7yyLFy+WyWRSWlqali9fruzsbGVnZ8tkMsloNCogIEAhISGKjIy0aYSfNUajUYsXL1ZGRobeeecdrV27Vnl5eUpJSVFgYGDFceo7Cs/R/cM+qgv+Qgn+6qW1l6cW3zdeI2e/atH2VfouvfHlL7r7mosqtqVm7lbsy59q697DNfbr5eGuObeM1Oxbwpmu8U/+nYz6Mv4uzX3vG837IFWnzhSpXWsvPXPXaE0de4mry7OLc7t31LndOypmzFCVlJRqw64/tGbjTq3esENrt2SpsLj6tSOfvvNazby5Yb8nADR+f7nqQi1asV6/7vyj0vbjp87osbe+0Oybw8tG8/0Z8mVkHaxxGum68m7jpVem36DJl4c2uC8AAAA0LXkFpzT+34lKzdxT7T6P3lr2HQYAoGUi+Kv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t5amlcyaqTStPF1QGAIBjMeIPsLP03dbXWwnpTfAHAACAlmvt2rVKS0tTVlaWsrOzlZWVpfz8/Gr39/HxUWBgoAICAhQYGKiwsDCNGDHCiRUDAJqyJ975Uj9s32u17cWp12lAzy5OrggAAOcg+APsrNrgjxF/AAAAaEH27t2rxMREpaWlKSMjw6LdbDbX+Pj8/HxlZGRUPDYhIUGSFBwcrLCwMEVHR6tnz572LxwA0OSt+uU3zf8wzWpb1BVDdOdVFzi5IgAAnIfgD7CzdCvr+7m7uWlgAFeSAQAAoPl79913lZiYWCnssxbyBQYGSiob2efr6ytJysvLU35+vvLy8mQymaz2n56eroyMDCUkJCgkJETR0dGKjIxU+/bt7f9kAABNzh9H83Xncx9Ybet7Tke9PG2cDAaDk6sCAMB5CP4AO0vfvd9iW/8endTKk5cbAAAAmq+nnnqqYlTe2UGf0WjUiBEjFB4ertDQUAUEBMjHx6fO/ebn51dMDbpp0yZlZGQoLa1sFMemTZuUnp6uWbNmKTY2VjNmzCAABIAWrKSkVLf/530dNp2waPPycNfSORPVvm0rF1QGAIDzkEQAdlRYVKytew9bbA/uxTSfAAAAaJ5WrFihmTNnKj8/X2azWUajUZGRkQoPD1dYWJhNIZ81Pj4+Gjx4sAYPHqyIiIiK7Wlpafrss8+UkpIik8mkhIQEJSYm6vHHH9ekSZMa+rQAAE3Q3Pe+0dfpu6y2/eeesRrS+xwnVwQAgPMR/AF2tHXvYRWXlFpsD+3V3QXVAAAAAI5z/PhxxcTEKC0tTWazuWLdvbPDOUcKCwtTWFiYnnnmGaWmpiohIUFr167VrFmzlJycrIULFzL6DwBakG8zduufSV9Zbbvh0oGaFnGJkysCAMA13FxdANCcWFvfT5KCg7o6uRIAAADAcTIzMzVs2DClpqZqxIgRWrVqlZKSkpwW+lUVHh6upUuXauXKlbrsssv07bff6tJLL9XmzZtdUg8AwLkOm04oev4ylZZaWVO2i69ee+BG1vUDALQYBH+AHaXvth78MeIPAAAAzcXatWs1evRoSVJSUpKSkpI0ePBgF1dVJjg4WEuXLtXChQtVWlqq0aNHa+XKla4uCwDgQKWlpfrL8x/oj2PHLdrc3dy0ZOYE+Xm3cUFlAAC4BsEfYEfWRvx19Gmr7h2YYggAAABN39q1azVx4kRFRETo+++/V1hYmKtLsioyMlI//PCDxowZoylTphD+AUAzNv/DNK38+TerbfG3X61LBwQ4uSIAAFyL4A+wo/Td+y22hQZ1YzoJAAAANHmZmZmaOHGiYmNjtWjRIvn4+Li6pBr5+Pho8eLFmjp1qqZMmcK0nwDQDK34abvi3v7Sats1F/TVwzeOcHJFAAC4noerCwCai4O5BTqUd8Jie3Cvbi6oBgAAALCvmTNnKi4uTtOmTXN1KTaJi4tTYGCgpkyZou+++87V5QAA7OS3nCOKfvY9mc2W6/p179Bebz10s9zcGPMAAGh5CP4AO9lkZbSfJIWwvh8AAACagWXLljX6UX7ViY6O1rhx41xdBgDATvJPntb4fyXKdOK0RZubm0HvPHKruvh6u6AyAABcj8teADvJsLK+nySFBHV1ciUAAACA/TXV0K9cU68fAFCmtLRUtz37vrbtO2y1ff5dY3RFSG8nVwUAQONB8AfYyabdlsGfu5ubBgZ0cUE1AAAAAAAAzc8/lqxR8vptVtuirxiiB64f7uSKAABoXAj+ADvJsBL89evRSa29PF1QDQAAAAAAQPPy4XeZil/2jdW2i/r6a+GMG2QwGJxbFAAAjQzBH2AHhUXF2mpliomQXt1cUA0AAAAAAEDzkrHngP7y/IdW27r6euvDuCi1acXF1wAAeLi6AKA52LbviIqKSyy2hwQR/AEAAKB527t3r9LS0iRJISEhGjx4sIsrAgA0N0fzT2r8vxJ14nShRZunh7vef2yyenQyuqAyAAAaH4I/wA427d5vdTsj/gAAANCcTZ06VSkpKRbbY2Nj9eijj7qgIgBAc1NcUqJJ85Zq98Fcq+0vTo3UZQMDnVwVAACNF1N9AnaQscdyfT+JEX8AAABoejIzMzVnzhxddtlluuyyy/Too49q7969FvuNHTtWKSkpMpvNFdvMZrPMZrMSEhI0ePBgbd682ZmlAwCaoVlvrNKaTTuttsWMGaopo4c6uSIAABo3gj/ADtJ3WwZ/HX3a6pyOPi6oBgAAAKifJUuWaMyYMVqyZImys7OVnZ2txMREDR8+XElJSRX7vfLKK0pPT6+4Xx74GY3Givt5eXmaMGGC9u3b5/TnAQBoHt5es0EvfLrOatuIgYH675QIJ1cEAEDjR/AH2IG14C8kqJsMBoMLqgEAAABsl5mZqdmzZ1eM4CsP88r/zJo1SwsXLpQkJSYmymAwyGw2KyoqSuvWrdO+ffu0efNm7du3T+vWrdO0adOUl5eniRMnuvJpAQCaqPXb92rqgk+stvXoZNR7j06WlyerGAEAUBXBH9BAB3MLdDCvwGI76/sBAACgKYmPj5ekikBv3rx5WrdunbZs2aKkpCRddtllio+P18KFC5WVlSVJSkpK0rx58xQQEFCpr4CAAMXFxem7775Tbm6unnrqKac/HwBA03Ug97hunvuuzhQVW7S19vLQR49HqauftwsqAwCg8eOyGKCB0qtZ3y+Y9f0AAADQROTn5ystLa3i/rp16yqFeWFhYQoLC1NiYqLmzJkjg8GgiIgIhYWF1dhvYGCgXnnlFUVFRWnGjBlq3769w54DAKB5OFNUrFvmvquco/lW2xffN14X9vF3clUAADQdjPgDGijDyjSfkhTKiD8AAAA0EdnZ2ZLKRvtZG8FXLjo6WmPHjpUkhYeH16nv8PBwDR48WJ999pl9igUANFtms1n3L/xM67ZmW21/aPwIRV0xxLlFAQDQxBD8AQ20afd+i23ubm4aGNDFBdUAAAAAtiufulNSraP47rvvPpnN5mrDQWtCQkKUnJxc7/oAAC3DwpXr9drnP1ttu+r8PnrqzmucXBEAAE0PwR/QQBlWpvrs16OTWnt5uqAaAAAAwHY+Pj4Vt3v27FnjvsHBwZKk48eP17l/o9GoTZs21a84AECLkJq5Ww8usn6RSO9uHZQ0a4I83N2dXBUAAE0PwR/QAIVFxdqy97DFdtb3AwAAQFPi5+dXcTszM7NOj1m+fHmd+8/KylJ+vvW1mgAAyD6Up1ufSlJxSalFW7vWXvr48Wh1aN/WBZUBAND0EPwBDbA954iKiksstrO+HwAAAJqSwYMHy2g0SlKd1uJ77LHHVFpq+eVsdTIzMyuNKgQAoNzJ04W6KX6JDptOWG1/66GbNTioq5OrAgCg6SL4Axpg027LaT4lRvwBAACg6Zk+fbrMZrMSEhK0b9++GveNjY3VokWL6tTvkiVLlJWVpcDAQHuUCQBoRsxms6a89Il+3fmH1fa/TbpS44cPcnJVAAA0bQR/QANkVBP8MeIPAAAATU1sbKwGDx4ss9msCRMm6Lvvvmtwn3v37tXcuXNlMBgUFhZmhyoBAM3Jcx+vVdK31teAvX7YAD0x6QonVwQAQNNH8Ac0wKbd+y22dWjfRud0ZBojAAAAND3vvfeepk2bJh8fH02YMEGDBg3S2rVr69XXu+++q+HDh8tkMkkSwR8AoJLPf/ldc/73udW2gQFd9NZDt8jNja8uAQCwlYerCwCasow9liP+Qnt1l8FgcEE1AAAAQMP4+PgoLi6u4n5aWpoCAgJs6iMtLU1Tp06VyWRSRESEhgwZooCAAI0YMcLe5QIAmqgdfxzV5GeWqrTUbNHm2661Pn48Wu3btnJBZQAANH0Ef0A9Hcor0IHcAovtrO8HAACA5qI+o/QCAwO1cOFCRvgBAKw6fvKMxv87UXknTlu0ubkZ9O6siepzTkcXVAYAQPNA8AfUU7qV0X6SFML6fgAAAGjBAgICbB4lCABoGUpLS3XHc+9rS/Yhq+1P3XGtrr2wr5OrAgCgeWGibKCe0ncR/AEAAACukJKSossuu8zVZQAAbPSvpK/16Q9brbZNHBmih29kWmgAABqK4A+oJ2sj/tzcDBoU0MUF1QAAAAAtR3Z2trKzs11dBgDABk+9943+mfSV1bbzz+2uV+8bL4PB4OSqAABofpjqE6in9N37Lbb18++k1l6eLqgGAAAAaDn27NkjHx8fV5cBAKgDs9msuLe+0LwPUq22dza200dx0Wrb2svJlQEA0DwR/AH1UFRcoi17D1tsD+nV3QXVAAAAAC3H8ePHtXbtWleXAQCog9LSUj24OEUvJ/9gtd3D3U3vPTpJAV18nVsYAADNGMEfUA/b9h1WUXGJxfaQINb3AwAAAGqzYsUKpaamKjs7W1lZWcrLy6vzY/Pz82U2m5kODgAauZKSUt370sd6a/Wv1e7z0rTrFD64lxOrAgCg+SP4A+ohfbfl+n6SFNKL4A8AAACoztq1azV79uxK6/OZzWYXVgQAcITComLd/twHej8tw2q7wWDQK9Ov172jL3ZyZQAANH8Ef0A9EPwBAAAAtklLS9PkyZMl/X/YZzAY6jVyj7AQABqv04VFuvWpJKX8tN1qu7ubm956+GZNGhnq5MoAAGgZCP6AekjfYxn8+Xm3kX9HHxdUAwAAADRu+fn5mjp1asUUnQaDQWazmQAPAJqZglNnNP5fifoqfZfVdi8Pdy2dM1HXDxvo5MoAAGg5CP6Aekjfvd9iW2ivbqwzAgAAAFixYMECmUymis/LZrNZwcHBio6OVmhoqAICAuTjw0V0ANCU5RWcUuQ/3tb327Kttrdp5amPH4/W1ef3cXJlAAC0LAR/gI0O5RXoQG6BxfbgIKb5BAAAAKxJSUmpGOVnMBi0aNEiRUREuLosAICdHDad0Ogn3tTGXZYXSkuST9tW+uzvt2vEoCDnFgYAQAtE8AfYaHP2IavbWd8PAAAAsC4rK6tiis+4uDhCPwBoRnKOmHTtE29q697DVts7tG+jVf/6iy7s4+/kygAAaJkI/gAbHbQy2k+S+vXo7ORKAAAAgKajfLRfVFSUq0sBANjJ7gPHdM3jb2rXgWNW27v5eevzf92lwUFdnVwZAAAtl5urCwCamtyCk1a3d/Jp6+RKAAAAgKYhODhYkuTj46P27du7uBoAgD1s23tYI2e/Wm3o17OzUd88fS+hHwAATkbwB9joaL714K9De4I/AAAAwJry4C8/P1/Hjx93cTUAgIbatGu/Lp/zqnKO5ltt79O9o1LnTVFf/05OrgwAABD8ATY6VnDK6nY/79ZOrgQAAABoGh5//PGK22vXrm1wf2lpaZo6dWqD+wEA2O7H7Xt15aOv6bDphNX2wYFd9c28exTQxde5hQEAAEkEf4DNjh23DP582raSh7u7C6oBAAAAGj8fHx89/fTTMpvNio+Pb3B/mZmZSklJsUNlAABbfJO+S9c8/obyTpy22n5RX3999dQ96t7Bx8mVAQCAch6uLqCxy8jI0KZNm5SVlSWTySSj0Sg/Pz8NHjxY4eHhri4PLnDsuOVUn0zzCQAAANQsOjpa+fn5mjt3rhYuXNigEXu5ubl2rAwAUBcrftquW556V6cLi622jxgYqM/+cbt82jIjEgAAruTS4O/48ePKy8uTr69vo1vgPSEhQQsWLJDJZKpxv6ioKE2fPl2BgYH1PlZqaqqSk5OVnp6u7OzsioAxICBA48aNU1RUlIxGY6Ptv6XJtTLVZwfvNi6oBAAAAGhaYmNjtWfPnopRf/UN/9LS0uTjw2gSAHCWD7/LVNT891RUXGK1/arz++ijuCi1a+3l5MoAAEBVDg/+1q5dq7S0NGVlZSk7O1tZWVnKz7e+8K9UNgVMYGCgAgICFBgYqLCwMI0YMcLRZVbIysrSpEmTlJWVVaf9lyxZoiVLlmjRokWKjIy06VgZGRmKiYmpOFZwcLBCQkKUl5enjIyMij/x8fGaN2+eoqOjG1X/LZW1qT792hP8AQAAAHXxzDPPKCUlRfHx8XrppZcUGhpa58fm5eVVmo0FAOB4b6/ZoLtf+FClpWar7dcPG6Ck2RPVypOJxQAAaAzs/ht57969SkxMVFpamjIyMizazWbrHxLK5efnVwRSUtnIO6kstAoLC1N0dLR69uxp77IllQVlEyZMqHWUnzUxMTE2hX+JiYmaPXu2pLJRg3FxcZVOXE0mk2bOnFmxbsXs2bOVlZWluLi4RtF/S3asgKk+AQAAgPrIzMxUTEyM8vPzZTabZTKZlJaWVufH13Y+CQCwr1dW/KgZCcurbZ80MlRv/vUmeXq4O7EqAABQE7sFf++++64SExMrhX3WTsrKp8T08fGRr6+vpLKrNvPz85WXl1dt6Jaenq6MjAwlJCQoJCRE0dHRioyMtOsUoWlpaZWOHxUVpdtuu00BAQEyGo3KyMhQVlZWRbBZVUxMjLZs2VLrlaepqakVoVxsbKzVsM1oNGrx4sWaMmVKRTiXkJCg0NDQWsNFR/ffkpnNZqsj/pjqEwAAAKhZWlqaJk+eLKnsc7XBYLC5j/LHmM3mGmeSAQA03LMfpmn2m6uqbb/n2ouUEHu93N3dnFgVAACoTYODv6eeeqpiVN7ZQZ/RaNSIESMUHh6u0NBQBQQE2LQGQ35+fsXUoJs2bVJGRkZF2LZp0yalp6dr1qxZio2N1YwZM+wSAO7Zs6fi9qpVqxQcHFypPTg4WMHBwYqMjFRycrJmzZplEVQuWLCg1lFz5etYGI3GWvedP39+RTAnSbNmzao1mHN0/y1ZwalCFZeUWmzv6MOIPwAAAKA6+fn5mjRpkqSy8O7sAA/VK18q4+wLZ22Z4rT8fDUvL09S2f9D+YWtAFCT+R+kas7/Pq+2/cHrL9Oz94yp10UcAADAseod/K1YsUIzZ86smKLFaDQqMjJS4eHhCgsLa/BC6z4+Pho8eLAGDx6siIiIiu1paWn67LPPlJKSIpPJpISEBCUmJurxxx+vOJGsr+zsbEnSvHnzLEK/qsrDsZiYmErbU1JSagzbEhISKk6+ZsyYUWtNRqNRsbGxFeGqyWRSYmJitevxObr/lu7occtpPiVG/AEAAAA1WbBggaTKI/aMRqOioqIUGhpaMTNMXWzcuFFz5sxxSJ3VSU1NVXJystLT05WdnV2xxmBAQIDGjRunqKgoh4RpY8aMqddSFDWpz/r0AFqWz37cWmPo98SkK/T3yaMI/QAAaKRsDv6OHz+umJgYpaWlyWw2V6y7d3Y450hhYWEKCwvTM888o9TUVCUkJGjt2rWaNWuWkpOTtXDhwnqP/svOzpbRaKxz6BUZGamIiIhKI+ZqW2i+/IRXUp3/zcaNG1cRzElScnJytTU6uv+W7lg1wZ8fa/wBAAAA1UpLS5PBYKiY4jMuLk7Tpk2rV1+DBw9Wenq6kpKS7FylpYyMDMXExCgrK0tS2SwwISEhysvLq1ibPiMjQ/Hx8Zo3b16TOI+q7SJXAC3btr2Hdduz71fb/sxdo/XwjWFOrAgAANjKpkm4MzMzNWzYMKWmpmrEiBFatWqVkpKSnBb6VRUeHq6lS5dq5cqVuuyyy/Ttt9/q0ksv1ebNm+vVX1ZWlkaMGGHTY8aNG2exrXzkYFXJyckVV2sajcY6X9Va9cTM2vqCzugf0rECy/X9JKlDe0b8AQAAANUpP0cyGAyKjY2td+hXrnzaS0dKTEzU6NGjlZWVpaioKG3ZskWrVq3S0qVLtWrVKm3ZsqXSufDs2bMVHx9v1xrs/TyjoqJsGl0JoGXJKzil8f9O1PFTZ6y2L4gdR+gHAEATUOfgb+3atRo9erQkKSkpSUlJSRo8eLDDCrNFcHCwli5dqoULF6q0tFSjR4/WypUrbeqjPDCzFuTVduy6Sk1NrbgdEhLSoOOc3Zez+od07Hg1wR9TfQIAAADVMplMFev51WVJgtr4+vo6dH3A1NRUzZ49W5IUGxurZ555xmJWF6PRqMWLF1cK/xISEpScnOyQmsov7ixfe76uf85W2xrwAFqukpJSRT/7nn7LOWK1/fl7IzRt7CVOrgoAANRHnab6XLt2rSZOnKiIiAjNnz+/wev3OUr5GoOPPPKIpkyZosWLF2vMmDF1eqzRaNSWLVtsXpfB2tWSAQEBVvc9+wSwun2qExISooyMjIr71kYVOrp/VD/VZwem+gQAAACqFRgYqKysLPn4+NR7aYazxcbGOnRazalTp0oqO0+sLSybP39+peUfZs2aZbc19MrPvaOiovTMM8/Y/PisrCwNHz5cUlno54h1CAE0D/94d41W/vyb1bY7rrpA94271MkVAQCA+qp1xF9mZqYmTpyo2NhYLVq0qNGGfuV8fHy0ePFiTZ06VVOmTLFp2s/6nARZW2jdWj8mk6nSvrYeKygoqNL98jUmnNU/yuQy1ScAAABgs/LZYvLz83X8+HG79Omoc9OEhISKc6u6jE40Go2KjY2tuG8ymZSYmGjXmuo7Uq986tGqNQLA2T5Ym6m5y76x2jb0vB5KiB0ng8Hg3KIAAEC91Rr8zZw5U3FxcXrsscecUY/dxMXF6amnntKUKVMcepxNmzZVul/deodVR9DZuq5C1RF8Z4/Oc0b/KFPdVJ9+TPUJAAAAVOvs88mq51D1sXfvXq1du7bB/VizYMGCitt1Xc++6pIR9pruMz8/X0ajsV4XqWZlZVWMRKzPaEEALUP67gP6y/MfWG3r6uutDx6brNZenk6uCgAANEStwd+yZcsavPC6q0RHR9u81p+tMjMzK92/7777rO5X9eTW1kXaa7ua1dH9o4y1qT7btfZSK886zZoLAAAAtEiBgYGaNm2azGazXnnllQb3l5ycrEmTJtmhMst+y0f7la+pVxdV19JLS0uzW022rt9erny0X3BwsN2mHgXQvBzNP6kb/52ok2eKLNo8Pdz1Qdxk+XdiimAAAJqaWoO/ph4IObr+s68GDQsLszjhK5efn9+g4/j5+VW6n5eX59T+UeaYlak+meYTAAAAqF1cXJwmT56s1NTUBl+gmZuba6eqKktNTa24bWvgVvVc8Oy+6isvL8/m9dulshlcykf7zZ8/v8F1AGh+iktKNOmZpdp90Pr76UtTr9PwAbbNJgUAABoHhik1wNlXg0rSokWLqt23oSemVQPMqkGfo/uvyZYtW2w6lr+/v/z9/W16TGNxLN9yxF/H9m1dUAkAAACau5ycHOXk5NR5f1s/l7vCM888o7y8PE2ZMkWLFy/WmDFj6tVPRkaGQy7yPHuKTlsDt5CQkEpLJlRdjqE+IiMjFR4ebvPjZs6cKalsqtLqLk4F0LLNefNzrdm402pbzJihunf0xU6uCAAA2AvBXwPMnTu34va8efNqXHfh7IBQsv9IREf3XxNbF5p/6KGH9PDDDzuoGseyOuKP9f0AAADgAEuXLtVzzz3n6jLs4qmnnqo4Z+nQoYPMZrOmTJmi4OBgm0bW5eXlKTs7W+np6fVa964mJpOp0nmVrf0HBQVVup+VldXgmuqzNl9ycnJFAGnruRqAliHx6416/pPvrLaNGBio/06p2/qmAACgcWpSwV9KSopefvllrVixwtWlKD4+vuJELioqStHR0TY9vqFTc9YW7Dm6/5bK2hp/foz4AwAAAGqUmppaaX10g8Egs9ms9PT0SqPkbNHQc56qqo7Qq+v6fuWqjhCs7/NqqFmzZkmSYmNjbX4OAJq/X3bkKOalj622+Xf00XuPTpaXZ5P6uhAAAFRR6xp/VT311FOVTticafny5Xa5arKhMjIylJCQIKlsXb/6XIVpK19f3xrvN/b+mwOz2axjx1njDwAAALBVVFSUzGazJFX8bTAYZDAYXFlWJZs2bap039ZzosZw8WR8fLxMJpOMRqNmzJjh6nIANDKH8gp0U/wSnS4stmhr5emhjx6PUlc/bxdUBgAA7MnmS3hefvll+fn5afDgwY6op1rZ2dlKSUmx+3QutjKZTJowYYKkssXbly5d6pTj5uXlNdr+4+PjNXDgwDrv31TX9zt5pkiFxSUW25nqEwAAAI4wceJEhYWF1Xn/LVu2NNqpHceNG6c5c+ZI+v/Rfo1NQ0cQ+vn5Vbrv6HO4qrKysiouUJ0xY4bLz50BNC5FxSW69akk7T1sstq+cMYNuqhvDydXBQAAHMHm4M9oNCo3N9cRtdRo0qRJkuw/nYutJkyYIJPJpMDAQC1btqzOj6t60tXQk8CqV5M6uv+aDBw4UEOHDm3Q8ZoCa9N8SlIHpvoEAACAA/j7+zfZi+aq8vHxUXBwsDIyMhQYGKjo6Gj5+PjYPKouLy9P6enpWrJkid1rbOh5btVzKGefu86ePVtS2RSlsbGxdut3y5YtNu3fnH5ugebkr6+mKG3zHqttD1w/XLePOt+5BQEA0ILl5OQoJyenzvvb+pnc5uDP19dXaWlpevTRR219aL2NHTu2UUzxOWXKFGVkZMhoNGrlypU2XUFZ9epPW08Cq+4/ZMgQp/YPWZ3mU5L8mOoTAAAAqFVwcLAyMzO1dOlS9ezZs979REVFKTc3VytXrrRjdWWzu5ytMUzdWVeJiYlKS0uTJD322GN27dvWUaQPPfSQHn74YbvWAKBhXvv8J72S8qPVtitDeuuZu0Y7uSIAAFq2pUuX6rnnnnNY/zav8SeVrXG3efNme9di1eTJk5Wenu7ytR9mzZpVMdWoraGfZHnSuGfPHpseX/Xq06oLxzu6f0jHCqwHf0z1CQAAANQuPDxckn3WEw8KCmpwH7Vp6Ig9ZwWHJpNJc+fOlVQWrkZGRjrluACahu+3ZmvGK59ZbQvq6qek2RPl4e7u5KoAAIAj2Rz85eXlyWw2KyYmxhH1VDJ58mSlpqa6PPSLj4/XkiVLKkK/wMBAm/sIDQ2tdN/WqTirnnRWrcHR/YOpPgEAAICGCAkJkdlsVvv27Rvcl6+vb6NbJ7BqoGmPgLMuZs6cWTFacf78+U45JoCm4Y+j+bp57hIVFZdYtLVt5amP4qLUydjOBZUBAABHsnmqT6lsMfasrCxNmzZNr7zyir1rkiRNnTq1UuhnNptlMBjsulZBXSQmJlYskL5s2bJ6B2JVR9BlZmba9Pjs7OxK94ODg53aP6Sj1QR/HQn+AAAAgFoFBARo3bp1dukrOjq6YgRhY9HQddbrIzU1VSkpKZKkiIgIh5zHxcfHa+DAgXXen/X9gMbhTFGxbp77rg7kFlhtf/3BmxTau7uTqwIAAJI0ceJEhYWF1Xn/LVu22DQFv83BX/mVhAaDQcnJyfL19dVTTz1lazc1mjp1qpKTkyuFflLZWg7OXFswMTGxYoH0pKSkBp1EGY1GGY3Gin8/W9csPHvqTms/EI7uH1JuNWv8dWCNPwAAAKBO7LWkgI+PjwYPHmyXvspVXc6hoUGeM6b6nDNnTsVtW9fiq6uBAwdq6NChDukbgGOYzWZNT1iuH7fvtdo+++Zw3Rr2f+3de3yb9Xn//7dzIkAi2aYH2hQp7bpDHcth3/3KihO5XdeDEztu6YkkMi2la5wo0G20cUIMpScBDhvd2qDE6SjQyInpYV1BxqGHbUgGOrp9hy3H3fZd20ghLT1g+1bMKSHW74/UqmXdtiXrZEmv5+PBY7rvj+5bV7KoH3983Z/r4oFvAAAKZdWqVTl9YC7tUp+dnZ1yuVzxZJzP59PBgwezFtCePXuSkn4VFRVqbW3VHXfckbXPmYvf709I+mXjadL169cnHIdCoZSvHRwcjL+eKZZc37/cjcyQ+Kuixx8AAAAwp5MnT6q/v1+nT5/O+D6Z3sNMVVVVwnG6Pf6mv//yyy/PNKRZeTye+AOfLpeLdg0A4g70/pvu/d5/mI41/skf6PPXvDPPEQEAgHxKO/HncrnU2dmpI0eOxJN/Ho9HR48ezTiY22+/XT6fL2mnX1NTU16TfoFAIN7DsKurK2uJsJaWloTjYDCY8rVTk3gul6sg9y93I+PJpT4vvGCpLrxgaQGiAQAAAIrLtm3btGXLFtXU1GjNmjVat26dNm7cqIcffjit++zfv19vectb9Nhjj2U1vuk79KZWRUnF6OhownG2djeaCYfD8ZYUUu52+wEoPo+Gfqa//kqv6djvv/YSde/6kBYvTvvXgQAAoIjMe6ZvaGhQX19fPDnX3t6uvr6+eQdy++236+67707a6dfc3JzVHYVzCYVC2rJli6Tzuxubm5tTvtYwDIXDYYXDYdPddtPv5fP5Urqv3++Pv25qakoqQZOv+5c7sx1/1ez2AwAAAOY0NDSkUCikWCymWCwmwzBksVh02WWXpV0Ss7W1VYZhxB/WzJa1a9cmHKdb6nP6jr9c7sCb+md3uVys4QBIkiK/GtOHbj+il89NJI2tvPACffuWVlXyewwAAEpe2j3+pnI4HOrr69OGDRsknX+C89ixY1qzZk1a9zlw4EBC0m+S0+nMa9IvHA7r6quvjh/7fD75fL6EBdzUxd9kPz0zVqtVw8PDSec7Ojrk8XjinxcIBObcUbh///6E62eT6/uXM7Mef/T3AwAAAOZ2+PDh+Gur1aonnnhi3j3wHA6H7Ha7IpGI+vv7k1oezNf0HXpDQ0NpXR+JRBKOM+kRPxufz5fwoClrOACS9PyLZ/Q+j0+/iSZXK5Kk+z/5Ab3pslflOSoAAFAIGe/tdzgcOnLkiKTzu/QaGxt1/PjxlK/v7u6Wx+NJSvo1NDTE75sP4XBYGzZsSEjmhUIhhUKh+C6+cDgswzDi/82H2+1OePJzz549s95r6qKus7NzzqdGc33/cmZW6rN6xUUFiAQAAAAoLpM9xSsqKnTnnXfOO+k3qba2VlJ67Q3mYrVaE3bOTfbPS9XU0qBOpzNbYSUwDCPei15itx+A82KxmLZ9+Z/0nz/5hen4rVvfrve8pSbPUQEAgELJSlHvqUm6WCymq6++Wk8//fSc13V3dycsWiavn5pMzAfDMJKSfrnU19cXX5xNJhzNSoN6vd7434/b7VZra+uCuH+5Miv1WcWOPwAAAGBOk7vhLBaLNm7cmPH97Ha7YrGY6TonE9N3D6Zz/8nkpqSs9YmfbteuXQnHO3fuzMnnACgud327X0cfHTAde89b3qSbN/9ZniMCAACFlFGpz6kmk39bt26VYRjavHmz+vr6tHLlStP39/b2xpNOU3f71dXVpd3cPVORSCStpN9MT1ROvcdcZUCfeOIJ7dq1S729vQqHw2psbJTdbldtba2i0agGBwfj9+jq6kqr12Cu71+uRsYp9QkAAADMh2EYqqioyNpOuKqqKknSwID5L7rnq6WlRb29vfHjYDCYcsnOqUlCl8s163sNw1AwGJTFYkk5SRgIBBJiczqdVGwBoId/9N/ac98jpmM1tlfp/hs/qEWLsvLcPwAAKBJZS/xJicm/cDiszZs3JyxMJgWDQbW1tSUk/GKxmOx2ux544IFshpQSh8OhU6dO5fUzrVarDh06pFAopMOHD6u/v19jY2Pq7e2V3W5XXV2dmpub570LL9f3LzcvvHRWL7x0Nun8JSsp9QkAAADMZbInX7YSVZNlNaf2Y8+G6Q9E+nw+ud3uOa/z+/3x101NTbOW35zeZsLpdKqnp2fOz9i+fXvCcSpxASht//bfJ3X1HUc1MRFLGqu8eLm+fXOrVl50QQEiAwAAhZTVxJ+UmPwbHByUy+VSd3d3fDwYDGrr1q0J10wm/WbbIViqHA6H9u3bV7T3Lxcjp82bY1eT+AMAAADmVFtbq0gkEt+pl6n+/v6s3MdMR0eHPB6PpPNJukAgMOeuvP379ydcPxuPx5NQISYYDMrn8836UOb0a+x2e87KiQIoDv/99K+16bNf0/MmDykvWlSh7var9cbXXlKAyAAAQKHlZK//ZPIvFospEAhox44dkqShoSFt2bJFsVgsYbffZNIv0wbvQK6YlfmUpKoVlPoEAAAA5rJp0ybFYrH4Tr1MRCIRhcNhVVRUyGazZR7cNG63O2Fn4p49e2Zt5eDz+eJlPjs7O+fc1TjZ73CqcDg84/tDoZC8Xm/COSq3AOXt589GteHT9+nZqPlDyp4Pv0uNf/IHeY4KAAAsFGkn/jZu3JhSD76GhgYdPHhQsVhMfr9fW7du1YYNGyT9rqdfLBaTxWJRT09PSkm/3t7erDSCB9I1cto88UePPwAAAGBuzc3NslqtCgaDGd9rsle8pJz1uOvr64uX65wszTm1h98kr9cbj8ftdqeUkGtpaUnp3KRdu3YlnZurhyCA0mU896Kabr1f4V+NmY5/7F3/n3a9Pzv9VAEAQHFKO/E3ODiYcgP15ubmePIvGAwm7PSLxWKyWq3q6+vTZZddltL9IpGI6WILyDVKfQIAAACZ2bp1qyKRiI4ePTrvexw4cCAheZircpdWq1VPPPGEmpqaJJ1P/jU2Nqq+vl7btm3T5s2bVVNTEy8J2tXVNWeJz0lut1tut1tWq1V2u11dXV1yOBym7w2FQklrYJfLNWsPQQCl68UzZ3XV530aPPGM6fimP/0jeXe2JFTZAgAA5SftHn9Wq3XWMifTTSb/tm/fbpr0S6c0y+joKOVAURAzlfqsptQnAAAAkJIbbrhBBw4cUHt7u+rq6rRmzZq0rr/99tvl9XpVUVGhWCwmSfHEXC5YrVYdOnRIoVBIhw8fVn9/v8bGxtTb2yu73a66ujo1NzfPq+xmR0dHSolCh8OhU6dOzSd8ACXm3LkJffhvv6lHh35mOl7/JpuO7LpaSxYvznNkAABgoUk78VdZWWnak2A205N/VqtVDzzwQNr9GNjth0IZpdQnAAAAkBGLxaK9e/fqtttuU2Njo9xut66//nqtXLly1usefvhheTweRSKReMKvoqJCLpcr5eoxmXA4HNq3b1/OPwcAZhKLxfRXh/z61mNDpuNvuuyV+s6nr9FFy5flOTIAALAQpZ34k6RgMKjbb79dTqcz5Z4Ka9euldvtltfrVWtrq6xWq06ePJnStYZh6KGHHlIwGKSkCQqCUp8AAABA5txutwKBgPr7++X1euX1euV0OmWz2bR69WrZbDaNjY0pHA4rFArFy3pOTfhN9opPtbQmABS7O77xqLy9/2Y6tuoSi/o+dy2/nwAAAHHzSvzFYrH4Im0+Mrk2Go3O6zogE2alPpctWayLLlhagGgAAACA4tXT06P6+vp4JZmpPfumm5rwmzyuqKjQAw88MOdOQQAoBV/97r/r5q99z3Ss8uLl6vvctbrslZX5DQoAACxoi+Zz0eRTlvP5T1JG1wKF8Gw0ecffJZaLaJgNAAAAzMOxY8e0cePGhHNm67+KigrTXvG1tbV5jxkA8s3/5H9p+/7vmI4tX7ZE3/n0NVpjf3WeowIAAAvdvBJ/0u8WYPn8DyiUUZMdf9Ur6O8HAAAAzIfFYtGhQ4d08OBB2Ww20wc9pycCd+7cqePHj5P0A1AWnvhxRJs7e3RuYiJpbNGiCnXvulrr16zOf2AAAGDBm1epT0nswENZMevxR/18AAAAIDPNzc1qbm5WJBJRb2+vTpw4oUgkorGxMdlsNtntdjmdTjmdzkKHCgB58+OTv1LL576mF146azp+t7tF772yJs9RAQCAYjHvxJ/T6VRDQ4NsNls24zEViUQUCARm7f0A5JJZj7+qlez4AwAAALLBZrNpx44dhQ4DAAru1G8Mbfz0/Ro5nfx7CEm6devbta3xijxHBQAAiknaib+xsTE5HA4dPXo0F/HMaMeOHWpsbNTx48fz+rmAJNMfuCn1CQAAAAAAsmVs/AVtvPV+RX49Zjr+8cY365Ytb89vUAAAoOjMq8dfXV1dtuNIydq1awvyuShvL519Wc+9eCbpPKU+AQAAAABANrx45qyu+oJPQ+Ffmo6/5y1v0t07WlRRUZHnyAAAQLFJO/FnGIasVmsuYpnT6tWrC/K5KG+jJmU+JamaUp8AAAAAACBD585NqPVvvqHA0AnT8fU1dnXvulqLF8/r+X0AAFBm5vUTQ1VVVbbjSMnKlSsVi8UK8tkoXzPV1a+i1CcAAAAAAMhALBbTJ7oe0rcfN29ts8b2Kv3Tp6/RhRcszXNkAACgWKXd4+/pp5/ORRwpaW1tVWtra8E+H+Vp5PTzpucp9QkAAIBydfLkSV122WWFDgMAip6n51908OEnTcde9wqrHv7ctTx4DAAA0kKNAGAOz86Q+LuExB8AAADKUDQaVX19vXbs2KGhoaFChwMAResfHvmRbu3+gelY1YoL1fe5a/W6VxSm3Q4AACheJP6AOcxU6pMefwAAAChXsVhMfr9fGzZs0MaNG9XX11fokACgqDz4bz/Wjru/Yzq2fNkSPXjrNaqxvSrPUQEAgFIwZ+Lv9OnT+YgjZ4o9fhTeKIk/AAAAIM5isWj9+vWKxWKKxWIKhULatm2b1qxZo4MHD7IGA4A5PP7jsLZ09mhiIpY0tmhRhY7u3qz6N9kLEBkAACgFcyb+GhsbdfTo0XzEknXd3d16y1veUugwUORGxmfo8beCUp8AAAAoTz09PXr88ce1devWeALQMAx5PB7V1NTopptu0smTJwsdJgAsOMORX6nls4f14pmXTccP7HyPWv70TXmOCgAAlJI5E38HDx7Url27dPvtt+cjnqy57bbbtGfPHh08eLDQoaDImZX6XLJ4kVZcuKwA0QAAAAALg81m0759+zQ8PKy9e/fKarXGk4A+n0/19fVyuVx67LHHCh0qACwIT//G0IZP36fRcfPKQp91/bn+4t1vznNUAACg1MyZ+HM4HDp48KDuvvtuuVyuoijbsn37dh04cEB33HGHnE5nocNBkRsx+YG8euWFqqioKEA0AAAAwMJisVjkdrt1/PhxHTx4UA6HI54ADAQC2rx5s9atW1e0lWQAIBuee/GMmm69X0//xjAd377xCnVs/rM8RwUAAErRnIk/SWpubtaRI0f06KOP6sorr1ywjdv7+/u1Zs0a9fb26uDBg3K5XIUOCSVg5HRyqU/KfAIAAADJmpub1dfXp2PHjmnjxo3xBGAkElF7e7vWrFmj22+/vSgeKAWAbNp97zENhX9pOnZV/Rp9qW0TDxgDAICsSCnxJ0kNDQ3q6+vTxMSEtm3bJpfLpePHj+cytpSdPHlS27dv15YtWyRJR44cUVNTU4GjQqkYNSn1Wb3ywgJEAgAAABSH2tpaHTp0SMPDw9qxY0dCH0Cv16uamhrt2LFDQ0NDhQ4VAHKu79//Wwd6/810rKF2tXyf+qAWL075V3QAAACzSuunCofDoR/+8Idat26dHn30UTU2Nha0Z0N/f7+2bt2q+vp6+f1+1dbW6oknnqC8J7LKrNRn1QoSfwAAAMBcLBaLOjo69PTTT+uOO+6Q3W6PJwH9fr82bNigpqYm+gACKFm/MZ7TX/z9P5qO1dpfrW/f3Krly5bmOSoAAFDK0n6cyGKxqKenRwcPHtTKlSv16KOPavPmzfGSLbl+YnNoaEi333671qxZoy1btigQCCgWi6mzs1N9fX2yWCw5/XyUn2ejyaU+L7FQ6hMAAABIR2trqx577LGkPoCDg4P0AQRQkmKxmLbf/R09MzqeNHbRBUv1rQ6XKnmwGAAAZNmS+V7Y3NyshoYGffnLX9aBAwfiJVu8Xq8kyel0qqGhQTabTQ6HQ5dddlnan3Hy5EmFQiENDAwoFAopGAzGx2KxmCTJ5XKpo6ODhB9y4uzL53T6hZeSztPjDwAAAJif5uZmNTc3a2hoSF/60pf08MMPS1K8D2B7e7vcbrdaW1vntY4EgIXia//8n/r24+Ztcv724xv1xtdekueIAABAOZh34k/6XdmWG264QQ8++KB8Pl98x18wGExI1E29prKyUlarVZWVlbJYLIpGoxobG5NhGBobG1M0GjX9vMlkn91uV2trq1wuFwk/5NSoSZlPiR5/AAAAQKYm+wBGo1F9+ctf1pEjR2QYhiTFHyptbm7Wzp07VVtbW+BoASA9P3tmRH950G861vTmP9TH3/3mPEcEAADKRUaJv0kWi0Wtra1qbW3V0NCQDh8+rP7+foXD4aT3GoYxY2Jv0mSCbyq73a7169frmmuuYdGHvBk5TeIPAAAAyKXJB0o7Ojrk8/l04MCB+FrS7/fL7/fL4XDohhtu0IYNGwocLQDM7dy5CX30i98yrSD0CstF+son3qeKiooCRAYAAMpBVhJ/U9XW1qqzs1OSFI1GNTAwoGAwqHA4rEgkokgkEn+KcyYOh0M2m012u11r166V0+lkZx8KYmQ8ub+fJFVR6hMAAADIuskHSgOBgLxer/r7+yVJoVBI27Ztk8Vi0Q033CCXy6WVK1cWOFoAMHfXt/sVPH7CdOzQJ67Sq6tW5DcgAABQVrKe+JvKYrHI6XTK6XQmjU3u+hsbG1NlZWX8/cBCwo4/AAAAIP8aGhrU0NCgSCSi/fv368iRI5LOV5DxeDzyeDxqbW2V2+2mDyCABeWpn/5ct/i+bzp23bv+RO95S02eIwIAAOVmUaE+2GKxyGKxyGazxV8DCw2JPwAAAKBwbDab9u3bp+HhYe3du1dWq1WxWEyxWEw+n0/19fVyuVx67LHHCh0qAOjFM2f14b/5hs6+fC5p7PWvrtJdf9FUgKgAAEC5KVjiDygGozOU+qxeSalPAAAAIF8sFovcbreOHz+ugwcPyuFwxBOAgUBAmzdv1rp163T06NFChwqgjHXc/z0dj/wq6fyiRRW6/5Mf1MqLLihAVAAAoNyQ+ANmMeOOvxXs+AMAAAAKobm5WX19fTp27Jg2btwYTwBGIhG1t7frpptuKnSIAMrQD576if7uO+a7j3d/oEHraux5jggAAJQrEn/ALJ49nbzjb/GiRbJevLwA0QAAAACYVFtbq0OHDunxxx/Xjh074gnAWCxW6NAAlJnR8Rd03d99y3Tsj3/vNfr0lrfnOSIAAFDOSPwBszDb8Ve1YrkqKioKEA0AAACA6Ww2mzo6OvT000+ro6NDq1evLnRIAMrMDQce0tO/MZLOL1+2RF/75Ie0bOmSAkQFAADKFT95ALMYMdnxR38/AAAAYGHasWNHoUMAUGZ6Hh3U0UcHTMfuuPbdqrG9Ks8RAQCAcseOP2AWo+PJO/7o7wcAAAAAAJ7+jaGd3u+Yjv355b+nnc1vyXNEAAAAJP6AWZmW+lxJ4g8AAAAAgHI2MTGh6774LY0992LSWNWKC3XvX71fixbxazcAAJB//AQCzIJSnwAAAAAAYLr9D/1QPxj4ienY3e4WrXqFNc8RAQAAnEfiD5jBuXMTpk/uUeoTAAAAAIDyNRz5lfbc94jp2Ja3rtXVDXV5jggAAOB3SPwBMzBL+klSNaU+AQAAgHk5cuSITp8+XegwAGDezpx9Wdf8zdf10tmXk8Ze9wqr9u/YVICoAAAAfofEHzADszKfEqU+AQAAgPk6fPiwampq1NfXl9X7njx5Uv39/RoaGsrqfQFgus8e+Wc99dNfmI7d+9fvVyVVggAAQIEtKXQAwEL1LIk/AAAAIOtisZgeffRRbdiwIeN73X777fJ6vUnnm5ubtXPnTtXW1mb8GQAwqf/4Ce37VsB07K/fu05vX/t7eY4IAAAgGTv+gBmMnH7B9DylPgEAAID5qaysVEVFRVbutW7dOnm9XsVisaT//H6/NmzYoJtuuikrnwUA0edf1Efu+qYmJmJJY2tsr9IXPvzOAkQFAACQjMQfMIOR8RkSf5TtAAAAAArq9ttvVzgcViwWU0VFRVIycTIB6PP55HK5ChQlgFJy41ce1olfjiadX7pksQ5/6kNavmxpAaICAABIRqlPYAajlPoEAAAAsspisUiSxsbG9PDDD2tgYECSZLfbtWnTJq1cuTKl+9x9990Jyb5YLCan06mGhgZZLBYNDg7K7/fLMAwFAgHt2LFDBw4cyP4fCEBZ+KcnhnXv9/7DdOzzre/Q2je8Js8RAQAAzIzEHzADSn0CAAAA2ReLxdTb26ve3t6E87t371Zra6tuv/32Wa+PRCIJ96qoqFBnZ2fCzj6Xy6XOzk55vV7ddttt8vv9am1t1bp167L7hwFQ8p4ZPa22L3/bdMy5ZrVuvGp9niMCAACYXdqJv61bt8pms6murk42m01r165N+alMoJiYlfqsqKiQ9aLlBYgGAAAAKH6TSbtYLLlHliT5fD4NDg4mJQWnCofD8dcVFRVqamqasZyn2+2WzWbT9u3b1dbWpqGhoQyiB1BuYrGY/uLv/1G/iSZXBFp54QW678YPaPFiuugAAICFJe3EXyAQUEVFhbq7u+PnLBaL7Ha7WlpatH379qwGCBTKiEmpz8qLl/NDPQAAADAP3d3dCoVCSSU6p4rFYhocHEypNOfkbr+WlpZZ39fc3KyNGzeqr69PfX192rBhw/z/EADKyqFjP1Lfv/+P6djfb2/W6ldX5TkiAACAuc271GcsFlNTU5MqKyslne/RcOLEiSyFBRSeWalPynwCAAAA83PbbbfFk36xWExWq1Xr16+X3W6X3W7X4OCgBgcHFQqF5Pf7df3112vNmjVz3tfhcMz5no6ODj388MPy+Xwk/gCk5H9O/Uaf+oeHTceuql+jD7/9j/McEQAAQGrmnfjbuXOnbrrppmzGAiwooyalPqtXkPgDAAAA0jU0NCTDMFRRUaFYLKaOjg7t2LEj4T2T5Tp9Pp/27Nmj9vb2WUt+Tpp8GHU2drtdW7du1dGjR+cVP4Dy8vK5c/rI335Dz790Nmns0qoVOrjzPQm7lwEAABaStBN/VqtV0WhUa9euzUU8KEIf+9jHtGzZsqTz27ZtU1tbWwEiyo5nTWr4V1suKkAkAAAAwO90dXXp0KFDSefPnDlTgGhSM7Uv39GjR+V0Omd8b2trq6LRqG6//XY99thjWrdu3az3TrXnfHNzs44ePaqhoSHV1tamFjiAsnSr7wd68n+eNh37h798n15hvTjPEQEAAKRu3jv+LBZLNuNAERsZGTE9Pz4+nudIsmtk3CTxt4LEHwAAAAprfHxczzzzTKHDSMvAwIAkye12z5r0m+R2u3X33XfL7/fPmfhL1eWXX65YLKZIJELiD8CM7vxmQHd841HTse0br9CG/+8P8xwRAABAeuad+EulnArKQ3V1temOvxUrVhQgmuyYmJjQ6PiLSefp8QcAAIBCW7FihS699NKk82fOnJnxobyFoKKiIqWk36S6ujoFAoGsff7kw6tjY2NZuyeA0vL333lMe+57xHTsD1a9Qvuuo0coAABY+Oad+AMm3XPPPbriiisKHUZWGc+/pFgslnSexB8AAAAKra2tzbSk/pNPPqmrrrqqABHNzW63S1JaLSMsFosikUjWYohGown/FwCm8vp/qBu/8rDp2OJFi3T/jR/QxcuTH3oGAABYaBYVOgBgIRo5nVzmU6LUJwAAADAfdXV1ktLbbTc0NGR6fnri7vTp0yndbzKJSNsKANN95diPdMPBh2Yc77rhvbriDy/LY0QAAADzl3bib7LEp9VqzXYswIIxcvoF0/NV7PgDAAAA0uZwOBSLxWZM5k0XiUQUDoclSY899ljS2FSpJhPD4bAqKipoWwEgwX3f/7/acfd3Zhz37nyPPvrOP8ljRAAAAJlhxx9gYqbEH6U+AQAAgPnZunWrvvCFL6T03slSprFYTJs3b05I/vl8PlVUVMSPU00m7t+/X9L5JCQASNKRfx3QX/z9P5q2+pCkv29rVtuG0mptAgAASt+8E3/9/f0pl1TJpkJ8JsrPyDilPgEAAIBs+vCHP6xwOKympiYdP37c9D1DQ0PauHGjQqGQKioq5Ha7tWHDBm3evFkbN27UmjVr4jsBKyoqFIvF5PF45vzs3t5ehUIhWSwWXXYZ5foASN/oD+nau745Y9Lvzus26PpNV+Y5KgAAgMwtme+F7e3tam9vl3T+icm6ujrV1dXJZrNp7dq1WrlyZdaCnNTb26vt27fr5MmTWb83MNUoO/4AAACArKqtrdX69evV39+vxsZG2Ww2ORwOVVZWamxsTKFQKKmMZ0NDg/bu3av6+nqFQqH4L+hjsZgqKirU1NSk3t5e7dixQwcOHDD93P7+frW3t6uiokKbNm3K+Z8TwML3T08Mq/XOr+vcxITpuOfD79KN71uf56gAAACyY96Jv6lPRA0ODioUCqm7uzt+zmKxyG63ZzUhONm74fTp0zlJLAKTnj1tvuPvkpXs+AMAAADmq6urS1deeaVOnz6tcDickOibXGNWVFSooqJCDodD69ef/8X70aNHtXHjRkWj0YT33nnnnbJarTpy5IhCoZB27typ9evXq7KyUuFwWD6fT93d3fFE4c6dO/P8Jwaw0PT+6L+0ubNHL58zT/rduvXt2vOht+Y5KgAAgOyZd+Jv0tTeClOTgYZhpJQQrKurk91uTymRN7nIA3Jtph5/lSuW5zkSAAAAoHRYrVY98MAD2rx5swzDSBibXFtOJum6urriY3a7XT09PWpra4snC++44w5ZLBbdfPPNOnLkiMLhcLwqzVST93O73ZT5BMrcd//v/9MHPEd09uVzpuM3feitumXL2/McFQAAQHbNO/HX1NSkaDSqwcHBpAWbNL+E4Nq1a2Wz2WZMCD711FPzDRdIy4jJjj/rxcu1ZPHiAkQDAAAAlA6Hw6G+vj594Qtf0MMPP5w07nQ61dnZmZSkczgcevzxxxWJRFRZWSmLxSLp/FpystTnZN+/SZPrUqfTqZtuuimHf6rS9bGPfUzLli1LOr9t2za1tbUVICJgfv554Ce66gs+nZkh6XfjVev1+WvemfD7LAAAgHzq6urSoUOHks6fOXMmrfvMO/F38803xxdi0WhUkUhEAwMDGhwcVCQSmVdCMBgMSpLpDkHDMBQOh1VRUUGZT+TcyHjyjr/qFfT3AwAAALLBZrPp0KFDikajGhgYUCQSibeHmEzozXbtdB0dHQqFQurv7084H4vFtHPnTpJ+GRgZGTE9Pz4+nudIgPkLDp3Qez53WC+eedl0/PpNV2rfdY0k/QAAQEGNj4/rmWeeyfg+aSf+JvvsTWWxWFRbW6va2lq5XK6EsaGhIQ0MDCgcDsebtYfD4aR7zLVDEMinUZNSn9UrSfwBAAAA2WSxWOR0OrNyr56eHkUikfi602azyel0zplIxOyqq6tNd/ytWLGiANEA6XvixxE1f/Z+Pf/SWdPxtg1X6O+2NZH0AwAABbdixQpdeumlSefPnDkz4wN5ZjLu8TeXyYTgdENDQwqHwxoYGJhXQhDIpZHx5FKfVSsvKkAkAAAAAFJls9lMdwRi/u655x5dccUVhQ4DmJcf/c/T2njrfRp/wbw81kff+Sfav2MTST8AALAgtLW1mZbTf/LJJ3XVVVelfJ+cJ/5mMpkQbGpqSjg/+YTm5C7ByQQhkE8jZjv+KPUJAAAAAEBR+M+f/FyNt9yr6PMvmY63/tnl6rr+vVq0aFGeIwMAAMiteSf+DMNIaraeDZNPaE5NCEajUT344IPas2dP1j8PmC4Wi5kn/ij1CQAAAADAghc68Yzefcu9GnvuRdPxDzkduuev3qfFi0n6AQCA0lMUP+FYLBa1trZq69athQ4FZeD0Cy/p3MRE0vlqSn0CAACgjJ0+fbrQIWSk2OMHkJrhyK/0zo6v6tlocgsPSbqqfo2+9skPasnixXmODAAAID/STvwZhiHpfEnOfHv961+f989E+ZlpcXAJiT8AAACUscbGRh09erTQYcxLd3e33vKWtxQ6DAA59j+nfqN3dtyjXxvPmY43X/FHOrLrQ1q6hKQfAAAoXfMu9Tk2NpbFMFJjsVjy/pkoPyPjyWU+JamKUp8AAAAoYwcPHtSGDRt04sQJ3XTTTYUOJ2W33XabDhw4oCNHjhQ6FAA59JNfPKt37L1Hz4yOm46/+09+X1+/aYuWLZ33r8IAAACKwrxLffp8Po2Pm/8wlStr166VzWbL62ei/Jj195Ok6hUk/gAAAFC+HA6HDh48qLvvvlsul6soSmdu375dBw4c0B133CGn01nocADkSPhXo3rH3q/q1LNR0/E/v/z39K29Ll1A0g8AAJSBeSf+QqGQ3vSmN2nHjh06cuSITp48mc24TNXW1uqxxx7L+eegvI2cNi/1SY8/AAAAlLvm5mYdOXJEjz76qK688kr19fUVOiRT/f39WrNmjXp7e3Xw4EG5XK5ChwQgR57+jaE/v+keRX49Zjr+1trX659ubtWFFyzNb2AAAAAFknbib/369bLZbIrFYorFYnrooYfU3t6u+vp6bd26NRcxAnk1U6nPakp9AgAAAGpoaFBfX58mJia0bds2uVwuHT9+vNBhSZJOnjyp7du3a8uWLZKkI0eOqKmpqcBRAciVX4xE9Y699+hnvxw1HV9XY9eDt16ji5Yvy3NkAAAAhZN2jYOenp6E40gkonA4rEgkosrKymzFBRTM6Ew7/law4w8AAACQzpf9/OEPf6ht27bp0UcfVSAQUENDg9xut9atW5f3ePr7++X1ehUMBhWLxeRwOPTAAw/QJx4oYb82ntO7br5X/+/nz5qO/+kfXib/Zz6sFRdekOfIAAAACivj4uY2m42+eygpM/X4q1qxPM+RAAAAAAuXxWJRT0+P/H6/2tvb4wlAi8Wi1tZWbdq0SbW1tTn7/KGhIT300EPy+XyKRqOKxWKSpM7OTkp7AiVudPwFNd5yr4YjvzId/z+/91o9/NmPyHIR63gAAFB+6GoMTGNW6nPFhcu0jCbgAAAAQJLm5mY1NDToy1/+sg4cOCDDMOT1euX1eiVJTqdTDQ0Nstlscjgcuuyyy9L+jJMnTyoUCmlgYEChUEjBYDA+Npnwc7lc6ujoYJcfUOJOP/+Smm69X0/99Bem43WrL9UjX/ioKlfQrgMAAJQnMhnANCMmpT4p8wkAAADMzGKxqKOjQzfccIMefPBB+Xw+DQ0NSZKCwWBCom7qNZWVlbJaraqsrJTFYlE0GtXY2JgMw9DY2Jii0ajp500m++x2u1pbW+VyuUj4AWXg+RfPqOVzX9O//fdJ0/Ea26v0Xc91ql7JGh4AAJQvEn/ANGalPqtX8qQgAAAAMJfJMp+tra0aGhrS4cOH1d/fr3A4nPRewzBmTOxNmkzwTWW327V+/Xpdc801OS0lCmBhefHMWV3l6VZg6ITp+Btfc4m++4WP6pXWi/MbGAAAwAJD4g+YxmzH3yU8LQgAAACkpba2Vp2dnZKkaDSqgYEBBYNBhcNhRSIRRSIRGYYx6z0cDodsNpvsdrvWrl0rp9PJzj6gDJ19+ZyuvqNH3//P/zUdt72yUt/zXKfXVPO/DwAAACT+gGnMdvxVseMPAAAAmDeLxSKn0ymn05k0Nrnrb2xsTJWVlfH3A4AknTs3oWv+9hvyP/lfpuOvqV6p7992nWyvqsxvYAAAAAsUiT9gilgsppFxk1KfNAUHAAAAcmIyyUeyD8B0ExMT+osv/aO+EQyZjr/SerG+57lOv/eaS/IcGQAAwMK1qNABAAvJcy+e0dmXzyWdpzE4AAAAAAD5E4vFdP2Bh/S1H/yn6XjVigv1yOc/qjdd9qo8RwYAALCwkfgDpjAr8ylJ1ZT6BAAAAAAgL2KxmD71D33q6nvSdHzlhReo73PXau0bXpPnyAAAABY+En/AFCPjz5uer6LUJwAAAAAAeXGr7/v6u+88Zjp20QVL5f/Mh/XmP3hdnqMCAAAoDiT+gClm3vFHqU8AAAAAAHLtjq8/Ks8D/2o6dsHSJfr2La1av2Z1XmMCAAAoJiT+gCko9QkAAAAAQGF86TuPq+Nr3zUdW7pksb6xd4vecfkb8xwVAABAcSHxB0zx7GnzUp/VK9jxBwAAAABArnzl2I/011/pNR1btKhCvk99SE1v/qM8RwUAAFB8SPwBU4zOsOPvEgs7/gAAAAAAyAXfvzylHXd/x3SsoqJC9/71B/SB9bV5jgoAAKA4kfgDphgZN9/xV7WCxB8AAAAAANn2zf4hffSL31QsFjMd9+5sUeufXZ7foAAAAIoYiT9gCrMefxddsFTLly0tQDQAAAAAAJSu3h/9l1x3PqCJCfOk3xc/3qRtjVfkOSoAAIDiRuIPmGLEpMdf9Ur6+wEAAAAAkE3ff+p/9cHbjurlcxOm454Pv0ufeE99nqMCAAAofiT+gClGx5N3/FVT5hMAAAAAgKzpP35CV33ep5fOvmw63nH127TnQ2/Nc1QAAAClgcQfMIVZqc/qlST+AAAAAADIhh/9z9Nq/szX9PxLZ03H//q96/TZ1nfkOSoAAIDSQeIPmMKs1GcVpT4BAAAAAMjYwE9/oQ2fvk+nX3jJdLxtwxW682MbVFFRkefIAAAASgeJP2CKEUp9AgAAAACQdT8++Su9+5Z7TVtsSNKH//yPtX/HJpJ+AAAAGSLxB/zW8y+e0YtnkvsLUOoTAAAAAID5+9kzI3pXx1f1a+M50/EPOh36yieu0qJF/JoKAAAgU/xEBfyW2W4/SbqEUp8AAAAAAMzLL0aietfN9+rnI6dNxzf96R/p8Cc/qCWLF+c5MgAAgNJE4g/4rZHT5om/Knb8AQAAAACQtmejz+vdN9+rnz4zYjr+zj9+o3p2b9bSJST9AAAAsoXEH/BbI6efNz1fzY4/AAAAAADScvr5l9T8mft1PPIr0/GG2tX6xw6Xli9bmufIAAAAStuSQgcALBQzlfqsXsGOPwAAACAbTp48KZ/Pp3A4rFAopLGxMVVWVsput8tms2n16tVqamrSZZddVuhQAWTghZfO6r2fP6wn/+dp0/E3//4qfefT1+ii5cvyHBkAAEDpI/EH/BY7/gAAAIDc2bNnj7q7u+PHsVhMkmQYhiKRSPy8x+ORxWJRS0uLXC6Xamtr8x4rgPk7+/I5be7s0b+GfmY6XmN7lXo/e60sFy3Pc2QAAADlgVKfwG+NztDjr5oefwAAAEBGtm/fru7u7niyb7pYLBYfi8ViMgxDPp9PGzZskMvl0vHjx/MZLoB5mpiY0Ee/+C35n/wv0/HXv7pKj3z+o7rEwgO2AAAAucKOP+C3KPUJAAAAZF9vb6/8fr8qKioknU/sWa1W2Ww22Ww2SVI0GtXY2JgikYgMw4i/T5ICgYACgYCam5t14MCBwvwhAMwpFovphoMP6eijA6bjr6leqe96rtNrL7HkOTIAAIDyQuIP+C2zUp8XLF2iCy+g0TgAAAAwXw8++GD8tdPplNvtltPpnPH90WhUAwMDGhoaUiAQUDAYlCT5/X6FQiH19PToda97Xc7jBpCem7/2PR18+EnTseqVF+qRz39Ub7i0Os9RAQAAlB8Sf8BvPWtS6rN65YXxJ5MBAAAApG9oaEgVFRVyOp06cuTInO+3WCxyOp1yOp3asWOHotGofD6furu7deLECTU2NurYsWMk/4AFZN83A7rjG4+ajq24cJke/uy1WmN/dZ6jAgAAKE/0+EuRYRjyeDyqqamJl55BaRk12fF3yUr6DgAAAACZCIfDkqTOzs55XW+xWOR2u/XYY49p7969Ghsb0+bNm7MZIoAMdPU9qZvue8R07IKlS/SdW67Rm/+ARD0AAEC+sONvDuFwWHfffbe6u7vj58bGxmS1WjO+dyAQkN/v1+DgYLyXxWSvi5aWFrlcrow+J9f3LzUjM+z4AwAAADB/k2uOyy67LON7ud1uNTU1ad26dbr99tt10003ZXxPAPN39NEB7fQ+aDq2ZPEiff2mLXpb3RvyHBUAAEB5Y8ffDEKhkLZt26b6+vqEpF+27l1fX68tW7bE711XVyeHwyHDMBQKheK7C30+34K7f6kaGU9O/FWtIPEHAAAAZGLdunWqrKzM2v3sdrsOHjwor9er06dPZ+2+ANLjf/K/dO1d31QsFksaq6io0H03fkDNV/xRASIDAAAobyT+pjAMQ16vV/X19WpsbFRvb2/WP8Pn86mxsVHhcFgul0vDw8M6duyYenp6dOzYMQ0PD6upqSn+/t27d8vj8SyY+5eyEZNSn9WU+gQAAAAy0tLSokgkktV7Njc3KxaLye/3Z/W+AFLzr4M/1dV3HNXL5yZMx/fv2KQtb12b56gAAAAgkfiTdD7ht3nzZtXU1Mjj8cR7ULhcLj3++ONZK4cZCAS0e/duSedL1Ozbty/p3larVYcOHUpIznm93pQWtLm+fyl78cxZPf/S2aTzlPoEAAAAMtPc3CyLxaKjR49m9b52u10PPfRQVu8JYG4/+p+n9Z7PH9aLZ142Hb/92ndr+8Y/zXNUAAAAmETiT+eTYcFgMP66o6NDw8PD2rdvn+x2e9bK0mzfvj3hM2Zz5513Jhy3t7cX/P6lbNSkzKckVa9gxx8AAACQqZtuuknt7e3q6+vL2j3D4bAGBgaydj8Aczse/qU23nqfxl84Yzq++wMNav9AQ56jAgAAwFQk/n6rqalJnZ2dGh4eltvtTtgpZ7FYMr6/1+uVYRiSpOuvv37O91utVrnd7vixYRiz9uPL9f1L3chp88RfFTv+AAAAgIy1trZq3bp12rZtm1wul44fP57R/SYf3IxGo9kID0AKfvrMiN59y70zrp/bNlwhz0feleeoAAAAMB2Jv986dOiQWltbc3b//fv3x19PLbM5m5aWloTj2cpx5vr+pW6mhQulPgEAAIDs6Onp0Zo1axQIBNTY2Kh169bp6NGjOn36dFr3OXnyZLzaSTYe0gQwt58/G9W7b75Xvxgx/75ueeta7d+xSRUVFXmODAAAANMtKXQA5cDv98d341mtVtnt9pSuczgcCceTT7Xm+/7l4NnTz5uep9QnAAAAkD1f//rX1djYqEgkokgkovb2drW3t8tms8nhcKihoUE2m02VlZWy2+1auXKlpPPJvnA4LL/fr+7ubsViMVVUVGjt2rUF/hMBpe/Z6PNqvOVe/fSZEdPxpjf/oe796/dr0SKeLQcAAFgISPzlQSAQiL+uq6tL61qHw6FQKJRwr4aGxHr5ub5/ORiZIfF3iYUdfwAAAEC2WCwWPf7442pvb9eRI0fi58PhsCKRiHp7e+e8RywWi7+e2r4AQPadfv4lNd16n45HfmU6/jbH6/XAni1aumRxniMDAADATHgcKw+mltC02WxpXTs9kReJRPJ+/3IwOj5DqU92/AEAAABZt2/fPh05ckS1tbWSFC8PGIvF5vxv0tatW7V+/fqCxA+UgxdeOqv3fv6wfvT/TpmOv/n3V+mfbrlGF16wNM+RAQAAYDYk/nLMMIx4GU7pfCnOdKxevTrhOBwO5/X+5YIefwAAAEB+NTQ06NixYzpy5IjWrFkTT+pVVFTM+N/k+M6dO9XZ2VnI8IGSdvblc9rc2aN/Df3MdLzG9ir1fvZarbzogjxHBgAAgLlQ6jPHpu+gS7X/3qTpO/imluXMx/3LhVmpz6VLFuvi5csKEA0AAABQPhoaGtTQ0KChoSE9+OCD6u3tTXggcTLhN/W11+uV1+uVzWaT1WpVZWWlpPOlRCdNnhsbG5MkRaNRORwO3XTTTbn9AwFFbmJiQh/94rfkf/K/TMdf/+oqPfL5j+oSCxVyAAAAFiISfzk2MDCQcDy5+EzV1IVrIe5fLkZMSn1Wr7gw4ZcMAAAAAHKntrZWtbW12rt3b7zf31NPPaX+/v6EKidTpdOqIBaLaWBggMQfMItYLKYbDj6ko48OmI6/pnqlvuu5Tq+9hN8lAAAALFQk/nIsGo1mdH1VVVXC8eTTqvm6f7kYNSn1SZlPAAAAoDBsNpt27NgRP45GoxoYGNDQ0JBOnDihSCSiwcHBGROCU019mC8ajerkyZO67LLLchI3UOxu/tr3dPDhJ03HqldeqEc+/1G94dLqPEcFAACAdJD4y7HR0dGMrp++I296oi/X90/F8PBwWu9ftWqVVq1alfbn5NLIeHKpz+qVlC0BAABA4Zw6dUqnTp1K+f3p/lxeTCwWi5xOp5xOZ9JYNBpVJBJROBxWJBLR6Oho/HU0Gk0oGxqLxRQMBrV169Z8hg8UhTu/GdAd33jUdGzFhcv08Gev1Rr7q/McFQAAANJF4i/Hpj+Bmu3Smrm+fyo6OjrSev+NN96oT37ykzmKZn5GTHb8Va1gxx8AAAAKp6enR3fddVehw1jwLBZLvEzoTKLRqMbGxhQOh7V27do8RgcUh0PHntSe+x4xHbtg6RJ955Zr9OY/eF2eowIAAMB8kPjLs0xLc86V2Mv1/UvVs6fNdvyR+AMAAABKgcVikcVikc1mK3QoaTMMQw899JAqKytlsViS2jVMXcNNXQ+Ojo7Gjx0Oh+x2e34CRtHpeXRQ7rsfNB1bsniRvn7TFr2t7g15jgoAAADzReJvgausrJz1eKHfvxicOfuyxl84k3T+Ekp9AgAAAJAUCATk9/s1ODioSCQiwzBktVpls9nU0tIil8slq9Wak88eGBjQ7t27M7pHR0eH3G53liJCKXn4R/+tj9z1DcVisaSxiooK3fvXH1DzFX9UgMgAAAAwXyT+FrixsbEFf3+Px6OampqU37/Q+vuNjr9oep4dfwAAACikzZs3m/a0m8nw8HDaZfgxu1AopLa2tnifQIfDobq6Oo2NjSkUCsX/83g86uzsVGtra4EjBlIXGPqZPnj7Eb18bsJ0/Ms7Nmnr2yiNCwAAUGxI/OXY9Kc+M020TS/Fmev7p6KmpkZXXHFFRp9bSCPjyWU+JamKHX8AAAAooFWrVi24h+bKic/ni++0c7lc6ujoSFh/GYahXbt2qbe3V5K0e/duhcNhkq8oCv/xv6fU8tnDevHMy6bjng+/Szs2/mmeowIAAEA2kPjLsen9F9LtwTf9/Zdffnle718ORk6/YHq+egU7/gAAAIByFAgE4kk/t9ttmsyzWq06dOiQtm3bFk/+eb1erV27Vs3NzVmLZeqaz+12yzAMSYkPfU5f101/ILQYexsid3588lfa+On7dPqFl0zHd73fqd0fbMhzVAAAAMgWEn85Nn0H3YkTJ9K6fnR0NOF4+oIt1/cvByOnzXf8VbPjDwAAAChL27dvl3Q+uTfXDr4777wznviTpPb29qwm/ialEgswlxO/HNW7b75Xv4mar4M/3vhm3X7tu1VRUZHnyAAAAJAtiwodQKlbuzaxHn66pTinP7lpt9vzev9yMDI+w44/evwBAAAAZcfr9cZ31V1//fVzvt9qtcrtdsePDcOQz+fLelyVlZVZvyfKyzOjp/Xum+/VqWfNKwV9yOnQ3TtaSPoBAAAUORJ/OTZ9B93Q0FBa10cikYRjh8OR1/uXg1FKfQIAAAD4rf3798dfNzU1pXRNS0tLwrHf789qTECmRsdfUOMt9+p/f/Gs6Xjjn/yB7r/xA1q8mF8TAQAAFDt+ossxq9Wa0AA+HA6ndf3U0p1OpzPv9y8HlPoEAAAAIJ1P2E3u9rNarSlXRJn+AGUwGMx6bNPbPACpGn/hJW36zNcUOvFL03HnmtX6xk1btGwp3WAAAABKAYm/PFi/fn3CcSgUSvnawcHB+OuGBvPm2rm+f6l71iTxt3jRIlkuuqAA0QAAAAAolEAgEH9dV1eX1rXTk39T75UNlPrEfLx09mW9/7YjeuK/Iqbj/+f3XqvvfPoaXbR8WZ4jAwAAQK6Q+MuD6WVf0nn6c2oSz+VyFeT+pW7EpNRn9coL6WsAAAAAlJmpJTqnt1WYy/RE4fS2CvM1Ojqalfug/Lx87pxcd35d3//P/zUd/6PXvVIPf+5aWS9enufIAAAAkEsk/lIQjZo3vk5Vc3NzwnGqjd6nLjqbmpoSSnrm8/6lbmTcPPEHAAAAoHwYhhEv8ykp7fXR6tWrE47TbcMwF0p9Ih0TExPa9uV/0rcfP246bntlpY59/lq90npxniMDAABArpH4S8HY2FjC8XwSgR0dHfHX4XA4pbIvU5vKT72+EPcvZaMmpT6rV9DfDwAAACgn03fopdrfb9L0HYLptGBIxdRSn+FwWB6PR42NjaqpqdGqVatUU1OjxsZGeb3erCcdUVxisZg++Q99uv/7/9d0/NWVK/TdL3xUl72yMr+BAQAAIC9I/M0hEAgkPPUpSYcPH077Pm63O2HhuGfPnqT7TuXz+eILxc7OzjkXnbm+fykzK/VZxY4/AAAAoKwMDAwkHKfbUy8fO/LC4bA2b96s+vp6eb1ehUKh+LrPMAyFQiF5PB7V19ervb095/FgYfr80X/Wlx583HSs8uLl6vvctfr9Va/Ic1QAAADIlyWFDmAhCYVCCgaDGh0dlWEYikQipv3yuru71d/fr9raWtntdlVVVam2tlYNDQ2z3r+vr09XXnmlDMNQOBzWhg0b1NXVldQE3uv1yuPxSDqf0GttbU0p/lzfv1SZlvpcQeIPAAAAKCeZtnioqqpKOJ5eOWa+JuPy+/3q7u5O+bru7m4NDg7qgQceKNu2DuXoS995XJ898s+mYxddsFQPfebDWvuG1+Q5KgAAAOQTib8pgsFgPCE2l3A4nFA+pampac7En9Vq1RNPPKFdu3apt7dX4XBYjY2Nstvtqq2tVTQa1eDgYPyJza6urqT+fYW8fyl6+dw5Gc+9mHS+eiWlPgEAAIByMjo6mtH103f8ZZpInG5yHedwONTS0iKbzSaLxaJoNKpAICC/359U9SUUCqmtrU09PT3z/tzh4eG03r9q1SqtWrVq3p+H+bvv+/9Xf/2VXtOxZUsW6x9vblX9m8q32g8AAMBCcerUKZ06dSrl96f7MzmJvyncbrfcbndOP8NqterQoUMKhUI6fPiw+vv7NTY2pt7eXtntdtXV1am5uXneu/Byff9SMzaenPSTpGpKfQIAAABlZXrSLB+lO1MxdedgZ2en6VquublZ+/btk8fjkdfrTRgLBoPy+XzzXgOm2w/+xhtv1Cc/+cl5fRbm7x8fP66Pf+kfTccWLapQd/vVeucfvzHPUQEAAMBMT0+P7rrrrpzdn8RfgTgcDu3bt69o718qzMp8SpT6BAAAAMpdpjv2spk4tFqteuCBB5LaOEzX0dGhqqqqpEo2t912Gw9/lrDv/ef/yrXvAU1MxEzHD91wld5XvybPUQEAAKBQFhU6AKCQno0+b3q+ilKfAAAAANJQWVk56/F8tba2anh4eM6k3yS32y27PbGc42QfeJSeJ34c0fu+4NOZl8+Zjt/18Y366Dv/JM9RAQAAoJDY8YeyNjJunvi7hMQfAAAAgDRMLclZaHfccYe2bNmScC4YDCYlBFPh8XhUU1OT8vvp75c/Qyd+qebP3K/nXzprOv7pLW/XX75nXZ6jAgAAwFw2b94sp9OZ8vuHh4fTKsFP4g9lbeT0DKU+6fEHAAAAlBWr1ZpwnGkir5A9AhsaGmS32xN2+c13x19NTY2uuOKKbIWGLDn56zFtvPU+jT1n3rf+hk1X6tNb357nqAAAAJCKVatW5fSBOUp9oqyNkvgDAAAAIKmqqirhON0ef9Pff/nll2caUkZqa2sL+vnInbHxF9R06/069az5v9EP//kf666Pb1RFRUWeIwMAAMBCQOIPZW2mUp/VlPoEAAAAysr0HXonTpxI6/rR0dGEY5vNlmlIGZle1nM+ZT6x8Lx45qze94VuHY/8ynT8vVfW6CufuEqLFvHrHgAAgHLFT4Ioa2alPisqKmS96IICRAMAAACgUNauXZtwnG6pz+k7/gqdaJu+g7HQiUhkbmJiQh+565t6dOhnpuNvc7xe3bs+pCWLF+c5MgAAACwkJP5Q1swSf1UrlvN0JAAAAFBmpifGhoaG0ro+EokkHDscjoxjysT0HYgNDQ0FigTZEIvF9Ml/6NM3+83/XdbaX61vdbi0fNnSPEcGAACAhYbsBsqaWanP6hWU+QQAAADKjdVqldVqjR+Hw+G0rp9aGtTpdGYrrHkzDCP+uqmpqYCRIBu++O3H9KUHHzcde90rrOr97EdUuYJe9QAAACDxhzI3arLjr3oliyUAAACgHK1fvz7hOBQKpXzt4OBg/HWmu+vC4bDq6+sTknfp6u/vj7++4YYbMooHhdXz6KB2fbXPdKzy4uV6+LMf0eteYTUdBwAAQPkh8Yey9uzp5B1/VST+AAAAgLLU0tKScBwMBlO+dmqS0OVyzfpewzDk9/sVCARMxysrKxUOh+XxeFL+/KnC4XB8x6LL5Sp42VHM3z8P/ETXfvGbpmPLlizWt29p1Rr7q/McFQAAABYyEn8oa2Y9/i5ZSalPAAAAoBw1NzcnHPt8vpSu8/v98ddNTU0JJUOnC4fDuvLKK9XW1qYtW7Zo8+bNSe+xWq1qampSd3d32iVHJWn37t2SJLvdro6OjrSvx8Iw+LNn9H5Pt86+fC5prKKiQl/71AfVUPv6AkQGAACAhYzEH8rWuXMTGnvuxaTz1ST+AAAAgLI1NVEWDodn3JU31f79+02vN+PxeBJKeAaDQdMEY2trq6TfJfFS5fV6FQwGZbVa1dfXN2sSEgtX5Fdjarr1PkWff8l0/K6/2KgPrmcnJwAAAJKR+EPZMp5/UbFYLOl8NQ3RAQAAgLLldrtlt9vjx3v27Jm1157P54uX+ezs7Ey41kwkEkk6Z7arr6GhQVarVcFgMOWSnx6PRx6PR3a7naRfERsdf0FNn7lfPx85bTr+yfet1yfeU5/nqAAAAFAsSPyhbJmV+ZSkanr8AQAAAGVtatIsHA5rw4YNCT38Jnm93viOPLfbHd+lN5vpfQRnOif9rvSo1+tVTU2NPB6PAoFAvIdfKBSS3+9Xe3u7ampq5PV65XK59Pjjj8+ZgMTC9OKZs7rq8z4NR35lOr75rXW649p35zkqAAAAFJMlhQ4AKJSR08+bnq+i1CcAAABQ1qxWq5544gnt2rVLvb29CofDamxslN1uV21traLRqAYHB+M7Abu6upL6A87E7XZrdHRU3d3dqqys1N69e+VwmJdsvOaaa9Td3S1JMgxDXq9XXq/X9L1Op1MdHR0z3gsL38TEhD78t99U8PgJ0/G3171BX/2r92vRIp7hBgAAwMxI/KFsjYzPsOOPUp8AAABA2bNarTp06JBCoZAOHz6s/v5+jY2Nqbe3V3a7XXV1dWpubk5pl990HR0dc/YClCSHw6Hh4WF1d3crEAg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" ] @@ -130,16 +130,16 @@ "\n", " # Panel b\n", " myplt.add_panel()\n", - " myplt.add_plot(x = time, y = rho, type = \"plot\", linewidth_data = 3,\n", + " myplt.add_plot(x = time, y = rho/1000, type = \"plot\", linewidth_data = 3, # todo: remove the /1000 when the log will be updated\n", " marker = \"-\", data_color = color2, markersize = 12)\n", " #x = np.linspace(0, 15)\n", " #myplt.add_plot(x = x, y = x*0+996, type = \"plot\", linewidth_data = 1.5,\n", " # marker = \"--\", data_color = color4, markersize = 12)\n", - " myplt.complete_panel(ylabel = r'$\\rho ~ (\\mathrm{kg/m}^3)$',\n", + " myplt.complete_panel(ylabel = r'$\\rho ~ (\\mathrm{g/cm}^3)$',\n", " xlabel = r'$t~\\mathrm{(ps)}$',\n", " xpad = 10, legend=True, handlelength_legend=1)\n", - " myplt.set_boundaries(x_ticks=np.arange(0, 16, 5), y_ticks=np.arange(300, 1100, 200),\n", - " x_boundaries=(-1, 16.2), y_boundaries=(350, 1020))\n", + " myplt.set_boundaries(x_ticks=np.arange(0, 16, 5), y_ticks=np.arange(0.300, 1.100, 0.200),\n", + " x_boundaries=(-1, 16.2), y_boundaries=(0.350, 1.020))\n", "\n", " # Print figure\n", " myplt.add_subplotlabels()\n", diff --git a/docs/sphinx/source/tutorial3/tutorial.rst b/docs/sphinx/source/tutorial3/tutorial.rst index 0b26b557..27ca6554 100644 --- a/docs/sphinx/source/tutorial3/tutorial.rst +++ b/docs/sphinx/source/tutorial3/tutorial.rst @@ -300,10 +300,15 @@ the position :math:`(0, 0, 0)`: fix myrct PEG recenter 0 0 0 shift all -Note that the ``recenter`` command has no impact on the dynamics, -it simply repositions the frame of reference so that any drift of the -system is ignored, which can be convenient for visualizing and analyzing -the system. +.. admonition:: Note + :class: non-title-info + + Note that the ``recenter`` command has no impact on the dynamics, + it simply repositions the frame of reference so that any drift of the + system is ignored, which can be convenient for visualizing and analyzing + the system. However, be aware that using ``fix recenter`` can sometimes + mask underlying issues in the simulation, such as net momentum or the so-called + *flying ice cube syndrome* :cite:`wong2016good`. Let us create images of the systems: From 49f933317a10e0d02bb752f238fc23d7b9079329 Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Wed, 9 Jul 2025 10:30:28 +0200 Subject: [PATCH 4/8] continue applying comments reviewer --- docs/sphinx/source/tutorial3/tutorial.rst | 9 +++++---- docs/sphinx/source/tutorial4/tutorial.rst | 8 ++++++-- docs/sphinx/source/tutorial5/tutorial.rst | 5 ++++- docs/sphinx/source/tutorial6/tutorial.rst | 6 +++--- docs/sphinx/source/tutorial7/tutorial.rst | 16 +++++++++++----- 5 files changed, 29 insertions(+), 15 deletions(-) diff --git a/docs/sphinx/source/tutorial3/tutorial.rst b/docs/sphinx/source/tutorial3/tutorial.rst index 27ca6554..ea426ae0 100644 --- a/docs/sphinx/source/tutorial3/tutorial.rst +++ b/docs/sphinx/source/tutorial3/tutorial.rst @@ -408,7 +408,6 @@ constraints using the following commands: .. code-block:: lammps compute rgyr PEG gyration - compute prop PEG property/local dtype compute dphi PEG dihedral/local phi The radius of gyration can be directly printed with the ``thermo_style`` command: @@ -417,7 +416,7 @@ The radius of gyration can be directly printed with the ``thermo_style`` command thermo_style custom step temp etotal c_rgyr thermo 250 - dump mydmp all local 100 pull.dat index c_dphi c_prop + dump mydmp all local 100 pull.dat index c_dphi By contrast with the radius of gyration (compute ``rgyr``), the dihedral angle :math:`\phi` (compute ``dphi``) is returned as a vector by the ``compute dihedral/local`` @@ -504,11 +503,13 @@ named **pull.lammpstrj**, which can be opened in OVITO or VMD. .. admonition:: Note :class: non-title-info - Since the trajectory dump file does not contain information about + Since the default trajectory dump file does not contain information about topology and elements, it is usually preferred to first write out a data file and import it directly (in the case of OVITO) or convert it to a PSF file (for VMD). This allows the topology to be loaded before *adding* the trajectory file to it. When using LAMMPS--GUI, this process can be automated through the ``View in OVITO`` or ``View in VMD`` options in the ``Run`` menu. Afterwards - only the trajectory dump needs to be added. \ No newline at end of file + only the trajectory dump needs to be added. Alternatively, the + ``dump custom`` command can be combined with ``dump`` command to + include element names in the dump file and simplify visualization. diff --git a/docs/sphinx/source/tutorial4/tutorial.rst b/docs/sphinx/source/tutorial4/tutorial.rst index 3d2f0d02..f9dbedbb 100644 --- a/docs/sphinx/source/tutorial4/tutorial.rst +++ b/docs/sphinx/source/tutorial4/tutorial.rst @@ -35,6 +35,10 @@ These lines are used to define the most basic parameters, including the atom, bond, and angle styles, as well as interaction potential. Here, ``lj/cut/tip4p/long`` imposes a Lennard-Jones potential with a cut-off at :math:`12\,\text{Å}` and a long-range Coulomb potential. +The parameters ``O``, ``H``, ``O-H``, and ``H-O-H`` correspond +respectively to the oxygens, hydrogens, O-H bonds, and H-O-H angle constraints of +the water molecules; their definitions, provided by the ``labelmap`` commands, +will be clarified below. .. include:: ../shared/needhelp.rst @@ -189,10 +193,10 @@ types. By default, LAMMPS calculates the pair coefficients for the interactions between atoms of different types (i and j) by using geometric average: :math:`\epsilon_{ij} = \sqrt{\epsilon_{ii} \epsilon_{jj}}`, :math:`\sigma_{ij} = \sqrt{\sigma_{ii} \sigma_{jj}}`. However, if the default -value of :math:`1.472\,\text{kcal/mol}` was used for :math:`\epsilon_\text{1-5}`, +value of :math:`1.472\,\text{kcal/mol}` was used for :math:`\epsilon_\text{O-WALL}`, the solid walls would be extremely hydrophilic, causing the water molecules to form dense layers. As a comparison, the water-water energy -:math:`\epsilon_\text{1-1}` is only :math:`0.185199\,\text{kcal/mol}`. Therefore, +:math:`\epsilon_\text{O-O}` is only :math:`0.185199\,\text{kcal/mol}`. Therefore, to make the walls less hydrophilic, the value of :math:`\epsilon_\text{O-WALL}` was reduced. diff --git a/docs/sphinx/source/tutorial5/tutorial.rst b/docs/sphinx/source/tutorial5/tutorial.rst index 5c95b023..51486e80 100644 --- a/docs/sphinx/source/tutorial5/tutorial.rst +++ b/docs/sphinx/source/tutorial5/tutorial.rst @@ -62,7 +62,10 @@ allocation issues, which sometimes can trigger segmentation faults and file, which should have been downloaded during the tutorial set up. Finally, the ``fix qeq/reaxff`` is used to perform charge equilibration :cite:`rappe1991charge`, which occurs at every step. The values 0.0 and 10.0 represent the -low and the high cutoffs, respectively, and :math:`1.0 \text{e} -6` is the tolerance. +low and the high cutoffs, respectively, and :math:`1.0 \text{e} -6` is the tolerance, +i.e., the precision to which the atomic charges are equilibrated during the +charge equilibration process. + The ``maxiter`` sets an upper limit to the number of attempts to equilibrate the charge. diff --git a/docs/sphinx/source/tutorial6/tutorial.rst b/docs/sphinx/source/tutorial6/tutorial.rst index 66a00fd9..fec45393 100644 --- a/docs/sphinx/source/tutorial6/tutorial.rst +++ b/docs/sphinx/source/tutorial6/tutorial.rst @@ -387,8 +387,8 @@ following lines into **gcmc.lmp**: .. code-block:: lammps compute ctH2O H2O temp - compute_modify thermo_temp dynamic yes - compute_modify ctH2O dynamic yes + compute_modify thermo_temp dynamic/dof yes + compute_modify ctH2O dynamic/dof yes fix mynvt1 H2O nvt temp 300 300 0.1 fix_modify mynvt1 temp ctH2O fix mynvt2 SiO nvt temp 300 300 0.1 @@ -398,7 +398,7 @@ Two different thermostats are used for :math:`\text{SiO}_2` and :math:`\text{H}_ respectively. Using separate thermostats is usually better when the system contains two separate species, such as a solid and a liquid. It is particularly important to use two thermostats here because the number of water molecules will fluctuate -with time. The ``compute_modify`` command with the ``dynamic yes`` +with time. The ``compute_modify`` command with the ``dynamic/dof yes`` option for water is used to specify that the number of molecules will not be constant. Finally, let us use the ``fix gcmc`` and perform the grand canonical Monte diff --git a/docs/sphinx/source/tutorial7/tutorial.rst b/docs/sphinx/source/tutorial7/tutorial.rst index 1fc334c2..4184ba3f 100644 --- a/docs/sphinx/source/tutorial7/tutorial.rst +++ b/docs/sphinx/source/tutorial7/tutorial.rst @@ -48,7 +48,7 @@ content: units real atom_style atomic - pair_style lj/cut 3.822 + pair_style lj/cut $(2^(1/6)*v_sigma) pair_modify shift yes boundary p p p @@ -56,12 +56,18 @@ Here, we begin by defining variables for the Lennard-Jones interaction :math:`\sigma` and :math:`\epsilon` and for the repulsive potential :math:`U`, which are :math:`U_0`, :math:`\delta`, and :math:`x_0` [see Eqs. :eq:`eq_U`-:eq:`eq_F` below]. The cut-off value of -3.822 Å was chosen to create a Weeks-Chandler-Andersen (WCA) potential, -which is a truncated and purely repulsive LJ -potential :cite:`weeks1971role`. It was calculated as :math:`2^{1/6} \sigma`. +:\math:`2^{1/6} \sigma = 3.822` was chosen to create a Weeks-Chandler-Andersen +(WCA) potential, which is a truncated and purely repulsive LJ potential :cite:`weeks1971role`. The potential is also shifted to be equal to 0 at the cut-off using the ``pair_modify`` command. +.. admonition:: Note + :class: non-title-info + + The syntax ``$(...)``, where a dollar sign is followed by parentheses, allows + you to evaluate a numeric formula immediately, without having to assign it + to a named variable first. + System creation and settings ---------------------------- @@ -303,7 +309,7 @@ and paste in the following content: units real atom_style atomic - pair_style lj/cut 3.822 + pair_style lj/cut $(2^(1/6)*v_sigma) pair_modify shift yes boundary p p p From 3baaa07408ed8a3033cb3b82b7291264ddf6e896 Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Wed, 9 Jul 2025 17:39:00 +0200 Subject: [PATCH 5/8] continue applying Livecoms reviewer comments --- docs/sphinx/source/tutorial1/tutorial.rst | 81 +++++++++++++++-------- docs/sphinx/source/tutorial2/tutorial.rst | 4 +- 2 files changed, 58 insertions(+), 27 deletions(-) diff --git a/docs/sphinx/source/tutorial1/tutorial.rst b/docs/sphinx/source/tutorial1/tutorial.rst index 1c2a4af7..8f013db6 100644 --- a/docs/sphinx/source/tutorial1/tutorial.rst +++ b/docs/sphinx/source/tutorial1/tutorial.rst @@ -17,7 +17,7 @@ file **initial.lmp** in it, and open the file in the LAMMPS--GUI Editor window: # 1) Initialization # 2) System definition # 3) Settings - # 4) Visualization + # 4) Monitoring # 5) Run .. admonition:: If you are not using LAMMPS-GUI @@ -31,8 +31,8 @@ file **initial.lmp** in it, and open the file in the LAMMPS--GUI Editor window: Everything that appears after a hash symbol (#) is a comment and ignored by LAMMPS. These five categories are not required in every input script an do not necessarily need to be in that exact order. For instance, the ``Settings`` -and the ``Visualization`` categories could be inverted, or -the ``Visualization`` category could be omitted. However, note that +and the ``Monitoring`` categories could be inverted, or +the ``Monitoring`` category could be omitted. However, note that LAMMPS reads input files from top to bottom and processes each command *immediately*. Therefore, the ``Initialization`` and ``System definition`` categories must appear at the top of the @@ -61,6 +61,15 @@ so that the ``Initialization`` section appears as follows: atom_style atomic boundary p p p +.. admonition:: Note + :class: non-title-info + + Strictly speaking, none of the four commands specified in the + ``Initialization`` section are mandatory, as they correspond to the + default settings for their respective global properties. However, + explicitly specifying these defaults is considered good practice to + avoid confusion when sharing input files with other LAMMPS users. + The first line, ``units lj``, specifies the use of *reduced* units, where all quantities are dimensionless. This unit system is a popular choice for simulations that explore general statistical @@ -86,19 +95,20 @@ slab geometries. .. admonition:: Note :class: non-title-info - Strictly speaking, none of the four commands specified in the - ``Initialization`` section are mandatory, as they correspond to the - default settings for their respective global properties. However, - explicitly specifying these defaults is considered good practice to - avoid confusion when sharing input files with other LAMMPS users. + Each LAMMPS command is accompanied by extensive online |lammpsdocs| + that details the different options for that command. + From the LAMMPS--GUI editor buffer, you can access the documentation by + right-clicking on a line containing a command (e.g., ``units lj``) + and selecting ``View Documentation for `units'``. This action + should prompt your web browser to open the corresponding URL for the + online manual. -Each LAMMPS command is accompanied by extensive online |lammpsdocs| -that details the different options for that command. -From the LAMMPS--GUI editor buffer, you can access the documentation by -right-clicking on a line containing a command (e.g., ``units lj``) -and selecting ``View Documentation for `units'``. This action -should prompt your web browser to open the corresponding URL for the -online manual. +.. admonition:: Note + :class: non-title-info + + Most LAMMPS commands have default settings that are applied if no value + is explicitly specified. The defaults for each command are listed at the + bottom of its documentation page. .. |lammpsdocs| raw:: html @@ -121,6 +131,9 @@ The first line, ``region simbox (...)``, defines a region named from -20 to 20 units along all three spatial dimensions. The second line, ``create_box 2 simbox``, initializes a simulation box based on the region ``simbox`` and reserves space for two types of atoms. +In LAMMPS, an atom *type* represents a group of atoms that +interact using the same set of force field parameters (here, the Lennard-Jones +parameters). .. admonition:: Note :class: non-title-info @@ -132,8 +145,10 @@ on the region ``simbox`` and reserves space for two types of atoms. terminate with an error. The third line, ``create_atoms (...)``, generates 1500 atoms of -type 1 at random positions within the ``simbox`` region. The -integer 34134 is a seed for the internal random number generator, which +type 1 at random positions within the ``simbox`` region. Each atom created in +LAMMPS is automatically assigned a unique atom ID, which serves as a numerical +identifier to distinguish individual atoms throughout the simulation +The integer 34134 is a seed for the internal random number generator, which can be changed to produce different sequences of random numbers and, consequently, different initial atom positions. The fourth line adds 100 atoms of type 2. Both ``create_atoms`` commands use the @@ -142,6 +157,13 @@ distance of 0.3 units between the randomly placed atoms. This constraint helps avoid close contacts between atoms, which can lead to excessively large forces and simulation instability. +.. admonition:: Note + :class: non-title-info + + Another way to define a system in LAMMPS, besides ``create_atoms``, is to + import an existing topology with ``read_data``, as shown + in :ref:`carbon-nanotube-label`. + .. include:: ../shared/needhelp.rst Settings @@ -189,19 +211,20 @@ of type 2, :math:`\epsilon_{22} = 0.5`, and :math:`\sigma_{22} = 3.0`. types using geometric average: :math:`\epsilon_{ij} = \sqrt{\epsilon_{ii} \epsilon_{jj}}`, :math:`\sigma_{ij} = \sqrt{\sigma_{ii} \sigma_{jj}}`. In the present case, :math:`\epsilon_{12} = \sqrt{1.0 \times 0.5} = 0.707`, and - :math:`\sigma_{12} = \sqrt{1.0 \times 3.0} = 1.732`. + :math:`\sigma_{12} = \sqrt{1.0 \times 3.0} = 1.732`. Other rules + can be selected using the ``pair_modify`` command. Single-point energy ------------------- The system is now fully parameterized, and the input is ready to compute forces. Let us complete the two remaining categories, -``Visualization`` and ``Run``, by adding the following lines +``Monitoring`` and ``Run``, by adding the following lines to **initial.lmp**: .. code-block:: lammps - # 4) Visualization + # 4) Monitoring thermo 10 thermo_style custom step etotal press # 5) Run @@ -216,6 +239,12 @@ The ``run 0 post no`` command instructs LAMMPS to initialize forces and energy without actually running the simulation. The ``post no`` option disables the post-run summary and statistics output. +.. admonition:: Note + :class: non-title-info + + The *thermodynamic information* printed by LAMMPS refers to instantaneous values + of thermodynamic properties at the specified steps, not cumulative averages. + You can now run LAMMPS (basic commands for running LAMMPS are provided in :ref:`running-lammps-label`. The simulation should finish quickly. @@ -297,7 +326,7 @@ following lines immediately after the ``minimize`` command: .. code-block:: lammps # PART B - MOLECULAR DYNAMICS - # 4) Visualization + # 4) Monitoring thermo 50 thermo_style custom step temp etotal pe ke press @@ -423,7 +452,7 @@ thermodynamic information. To better follow the evolution of the system and visualize the trajectories of the atoms, let us print the positions of the atoms in a file at a regular interval. -Add the following command to the ``Visualization`` section +Add the following command to the ``Monitoring`` section of ``PART B`` of the **initial.lmp** file: .. code-block:: lammps @@ -440,7 +469,7 @@ and adjust the visualization to your liking using the available buttons. Now you can copy the commands used to create this visualization to the clipboard by either using the ``Ctrl-D`` keyboard shortcut or selecting ``Copy dump image command`` from the ``File`` menu. -This text can be pasted into the ``Visualization`` section +This text can be pasted into the ``Monitoring`` section of ``PART B`` of the **initial.lmp** file. This may look like the following: @@ -496,7 +525,7 @@ commands in the ``System definition`` section: pair_style lj/cut 4.0 pair_coeff 1 1 1.0 1.0 pair_coeff 2 2 0.5 3.0 - # 4) Visualization + # 4) Monitoring thermo 10 thermo_style custom step etotal press # 5) Run @@ -591,7 +620,7 @@ and **improved.min.lmp**: boundary p p p # 2) System definition # 3) Settings - # 4) Visualization + # 4) Monitoring # 5) Run Since we read most of the information from the data file, we don't need @@ -696,7 +725,7 @@ Finally, let us complete the script by adding the following lines to .. code-block:: lammps - # 4) Visualization + # 4) Monitoring thermo 1000 thermo_style custom step temp pe ke etotal press v_n1_in v_n2_in c_sumcoor12 dump viz all image 1000 myimage-*.ppm type type shiny 0.1 box no 0.01 view 0 0 zoom 1.8 fsaa yes size 800 800 diff --git a/docs/sphinx/source/tutorial2/tutorial.rst b/docs/sphinx/source/tutorial2/tutorial.rst index 61c2c728..22a369b7 100644 --- a/docs/sphinx/source/tutorial2/tutorial.rst +++ b/docs/sphinx/source/tutorial2/tutorial.rst @@ -401,6 +401,7 @@ the **unbreakable.yaml** file can then be used to plot the stress-strain curve. as a function of the strain, :math:`\Delta L_\text{cnt} = (L_\text{cnt}-L_\text{cnt-0})/L_\text{cnt-0}`, where :math:`L_\text{cnt}` is the CNT length and :math:`L_\text{cnt-0}` the CNT initial length. Here, the potential is OPLS-AA, and the CNT is unbreakable. + The orange line shows the raw data, and the blue line represents a time-averaged curve. Breakable bonds =============== @@ -566,7 +567,8 @@ curve reveals a linear (elastic) regime where where :math:`F_\text{cnt}` is the force and :math:`A_\text{cnt}` the CNT surface area, as a function of the strain, :math:`\Delta L_\text{cnt} = (L_\text{cnt}-L_\text{cnt-0}/L_\text{cnt-0})`, where :math:`L_\text{cnt}` is the CNT length and :math:`L_\text{cnt-0}` the CNT initial length. - Here, the potential is AIREBO, and the CNT is breakable. + Here, the potential is AIREBO, and the CNT is breakable. The orange line shows + the raw data, and the blue line represents a time-averaged curve. Tip: bonds representation with AIREBO ------------------------------------- From 624d70c7249a751e6e1c3840c747dc8b8a4f86c4 Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Thu, 10 Jul 2025 09:36:50 +0200 Subject: [PATCH 6/8] removed hybrid overlay from tutorial 6 --- docs/sphinx/source/tutorial6/tutorial.rst | 69 +++++++++++++---------- 1 file changed, 39 insertions(+), 30 deletions(-) diff --git a/docs/sphinx/source/tutorial6/tutorial.rst b/docs/sphinx/source/tutorial6/tutorial.rst index fec45393..471f96de 100644 --- a/docs/sphinx/source/tutorial6/tutorial.rst +++ b/docs/sphinx/source/tutorial6/tutorial.rst @@ -215,15 +215,16 @@ random positions are made. Each attempt is either accepted or rejected based on energy considerations. For further details, please refer to classical textbooks like Ref. :cite:`frenkel2023understanding`. -Using hydrid potentials +Adapting the pair style ----------------------- -The first particularly of our system is that it combines water and -silica, which necessitates the use of two force fields: Vashishta (for -:math:`\text{SiO}_2`), and TIP4P (for water). Here, the TIP4P/2005 model is -employed for the water :cite:`abascal2005general`. - -Create a new file called **gcmc.lmp**, and copy the following lines into it: +For this next step, we need to define the parameters for the water molecules and +the cross-interactions between water and silica. The TIP4P/2005 model is employed +for the water :cite:`abascal2005general`, while no specific parameters are set +for the silica itself. The atoms of the silica will remain frozen during this part. +Only the cross-interactions between water and silica need +to be defined. Create a new file called **gcmc.lmp**, and copy the following +lines into it: .. code-block:: lammps @@ -232,7 +233,7 @@ Create a new file called **gcmc.lmp**, and copy the following lines into it: atom_style full neighbor 1.0 bin neigh_modify delay 1 - pair_style hybrid/overlay vashishta lj/cut/tip4p/long OW HW OW-HW HW-OW-HW 0.1546 10 + pair_style lj/cut/tip4p/long OW HW OW-HW HW-OW-HW 0.1546 10 kspace_style pppm/tip4p 1.0e-5 bond_style harmonic angle_style harmonic @@ -242,14 +243,20 @@ Create a new file called **gcmc.lmp**, and copy the following lines into it: Open the **gcmc.lmp** file. -Combining the two force fields, Vashishta and TIP4P/2005, is achieved -using the ``hybrid/overlay`` pair style. The PPPM -solver :cite:`luty1996calculating` is specified with the ``kspace`` +The PPPM solver :cite:`luty1996calculating` is specified with the ``kspace`` command, and is used to compute the long-range Coulomb interactions associated with ``tip4p/long``. Finally, the style for the bonds and angles of the water molecules are defined; however, these specifications are not critical since TIP4P/2005 is a rigid water model. +.. admonition:: Note + :class: non-title-info + + In practice, it is possible to use both ``vashishta`` and + ``lj/cut/tip4p/long`` pair styles by employing the ``pair_style hybrid`` + command. However, hybridizing force fields should be done with caution, as there + is no guarantee that the resulting force field will produce meaningful results. + The water molecule template called |H2O_mol_6| must be downloaded and located next to **gcmc.lmp**. @@ -331,26 +338,31 @@ to **gcmc.lmp**: .. code-block:: lammps - pair_coeff * * vashishta SiO.1990.vashishta Si O NULL NULL - pair_coeff * * lj/cut/tip4p/long 0 0 - pair_coeff Si OW lj/cut/tip4p/long 0.0057 4.42 - pair_coeff O OW lj/cut/tip4p/long 0.0043 3.12 - pair_coeff OW OW lj/cut/tip4p/long 0.008 3.1589 - pair_coeff HW HW lj/cut/tip4p/long 0.0 0.0 + pair_coeff * * 0 0 + pair_coeff Si OW 0.0057 4.42 + pair_coeff O OW 0.0043 3.12 + pair_coeff OW OW 0.008 3.1589 + pair_coeff HW HW 0.0 0.0 bond_coeff OW-HW 0 0.9572 angle_coeff HW-OW-HW 0 104.52 -The force field Vashishta applies only to ``Si`` and ``O`` of :math:`\text{SiO}_2`, -and not to the ``OW`` and ``HW`` of :math:`\text{H}_2\text{O}`, thanks to the ``NULL`` parameters -used for atoms of types ``OW`` and ``HW``. Pair coefficients for the ``lj/cut/tip4p/long`` +Pair coefficients for the ``lj/cut/tip4p/long`` potential are defined between O(:math:`\text{H}_2\text{O}`) and between H(:math:`\text{H}_2\text{O}`) atoms, as well as between O(:math:`\text{SiO}_2`)-O(:math:`\text{H}_2\text{O}`) and -Si(:math:`\text{SiO}_2`)-O(:math:`\text{H}_2\text{O}`). Thus, the fluid-fluid and the +Si(:math:`\text{SiO}_2`)-O(:math:`\text{H}_2\text{O}`). Thus, the fluid-fluid and the fluid-solid interactions will be adressed with by the ``lj/cut/tip4p/long`` potential. The ``bond_coeff`` and ``angle_coeff`` commands set the ``OW-HW`` bond length to 0.9572 Å, and the ``HW-OW-HW`` angle to :math:`104.52^\circ`, respectively :cite:`abascal2005general`. +.. admonition:: Note + :class: non-title-info + + The pair coefficients for interactions between Si(:math:`\text{SiO}_2`) + and O(:math:`\text{SiO}_2`) are set by the first command, ``pair_coeff * * 0 0``, + which effectively means that they do not interact. This is acceptable here because + the silica atoms remain frozen during this part of the tutorial. + Add the following lines to **gcmc.lmp** as well: .. code-block:: lammps @@ -389,17 +401,14 @@ following lines into **gcmc.lmp**: compute ctH2O H2O temp compute_modify thermo_temp dynamic/dof yes compute_modify ctH2O dynamic/dof yes - fix mynvt1 H2O nvt temp 300 300 0.1 - fix_modify mynvt1 temp ctH2O - fix mynvt2 SiO nvt temp 300 300 0.1 + fix mynvt H2O nvt temp 300 300 0.1 + fix_modify mynvt temp ctH2O timestep 0.001 -Two different thermostats are used for :math:`\text{SiO}_2` and :math:`\text{H}_2\text{O}`, -respectively. Using separate thermostats is usually better when the system contains -two separate species, such as a solid and a liquid. It is particularly important -to use two thermostats here because the number of water molecules will fluctuate -with time. The ``compute_modify`` command with the ``dynamic/dof yes`` -option for water is used to specify that the number of molecules will not be constant. +Here, the ``fix nvt`` applies only to the water molecules, so +the atoms in the silica remain fixed. The ``compute_modify`` command with +the ``dynamic/dof yes`` option is used for water to account for the fact +that the number of molecules is not constant. Finally, let us use the ``fix gcmc`` and perform the grand canonical Monte Carlo steps. Add the following lines into **gcmc.lmp**: From e6211c196049e593eaf86ff08caf2d19ca3c7613 Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Thu, 10 Jul 2025 09:55:10 +0200 Subject: [PATCH 7/8] renamed ffield.reax.CHOFe --- docs/sphinx/source/tutorial5/tutorial.rst | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/docs/sphinx/source/tutorial5/tutorial.rst b/docs/sphinx/source/tutorial5/tutorial.rst index 51486e80..068bb988 100644 --- a/docs/sphinx/source/tutorial5/tutorial.rst +++ b/docs/sphinx/source/tutorial5/tutorial.rst @@ -52,7 +52,7 @@ Next, copy the following three crucial lines into the **relax.lmp** file: .. code-block:: lammps pair_style reaxff NULL safezone 3.0 mincap 150 - pair_coeff * * reaxCHOFe.inc Si O + pair_coeff * * ffield.reax.CHOFe Si O fix myqeq all qeq/reaxff 1 0.0 10.0 1.0e-6 reaxff maxiter 400 In this case, the ``pair_style reaxff`` is used without a control file. The @@ -71,7 +71,7 @@ equilibrate the charge. .. |reaxCHOFe_inc_5| raw:: html - reaxCHOFe.inc + ffield.reax.CHOFe Next, add the following commands to the **relax.lmp** file to track the evolution of the charges during the simulation: @@ -216,7 +216,7 @@ file, which must contain the following lines: read_data relax.data pair_style reaxff NULL safezone 3.0 mincap 150 - pair_coeff * * reaxCHOFe.inc Si O + pair_coeff * * ffield.reax.CHOFe Si O fix myqeq all qeq/reaxff 1 0.0 10.0 1.0e-6 reaxff maxiter 400 group grpSi type Si @@ -348,7 +348,7 @@ Open the **decorate.lmp** file, which must contain the following lines: displace_atoms all move -12 0 0 # optional pair_style reaxff NULL safezone 3.0 mincap 150 - pair_coeff * * reaxCHOFe.inc Si O H + pair_coeff * * ffield.reax.CHOFe Si O H fix myqeq all qeq/reaxff 1 0.0 10.0 1.0e-6 reaxff maxiter 400 The ``displace_atoms`` command is used to move the center of the From 8e3bda172931ebe03a3596d6f1d413bdedd0aa55 Mon Sep 17 00:00:00 2001 From: Simon Gravelle Date: Thu, 10 Jul 2025 10:47:46 +0200 Subject: [PATCH 8/8] continue to apply livecoms comments --- docs/sphinx/source/tutorial6/tutorial.rst | 19 +++++++++++-------- docs/sphinx/source/tutorial7/tutorial.rst | 16 ++++++++-------- 2 files changed, 19 insertions(+), 16 deletions(-) diff --git a/docs/sphinx/source/tutorial6/tutorial.rst b/docs/sphinx/source/tutorial6/tutorial.rst index 471f96de..ae41a86f 100644 --- a/docs/sphinx/source/tutorial6/tutorial.rst +++ b/docs/sphinx/source/tutorial6/tutorial.rst @@ -37,7 +37,7 @@ Add the following lines to **generate.lmp**: create_atoms O random 480 1072 box overlap 2.0 maxtry 500 The ``create_atoms`` commands are used to place -240 Si atoms, and 480 atoms, respectively. This corresponds to +240 Si atoms and 480 O atoms, respectively. This corresponds to an initial density of approximately :math:`2 \, \text{g/cm}^3`, which is close to the expected final density of amorphous silica at 300 K. @@ -439,12 +439,14 @@ Finally, let us print some information and run for 25 ps: run 25000 -Running this simulation using LAMMPS, one can see that the number of molecules is increasing -progressively. When using the pressure argument, LAMMPS ignores the value of the -chemical potential (here :math:`\mu = -0.5\,\text{eV}`, which corresponds roughly to -ambient conditions, i.e. to a relative humidity :math:`\text{RH} \approx 50\,\%` :cite:`gravelle2020multi`.) -The large pressure value of 100 bars was chosen to ensure that some successful -insertions of molecules would occur during the short duration of this simulation. +.. admonition:: Note + :class: non-title-info + + When using the pressure argument, LAMMPS ignores the value of the + chemical potential (here :math:`\mu = -0.5\,\text{eV}`, which corresponds roughly to + ambient conditions, i.e. to a relative humidity :math:`\text{RH} \approx 50\,\%` :cite:`gravelle2020multi`.) + The large pressure value of 100 bars was chosen to ensure that some successful + insertions of molecules would occur during the short duration of this simulation. .. figure:: figures/GCMC-number-dm.png :class: only-dark @@ -458,7 +460,8 @@ insertions of molecules would occur during the short duration of this simulation Figure: Number of water molecules, :math:`N_\text{H2O}`, as a function of time, :math:`t`. -After a few GCMC steps, the number of molecules starts increasing. Once the +Running this simulation using LAMMPS, one can see that +after a few GCMC steps, the number of molecules starts increasing. Once the crack is filled with water molecules, the total number of molecules reaches a plateau. The final number of molecules depends on the imposed pressure, temperature, and the interaction between water and silica (i.e. its hydrophilicity). Note that GCMC simulations diff --git a/docs/sphinx/source/tutorial7/tutorial.rst b/docs/sphinx/source/tutorial7/tutorial.rst index 4184ba3f..02bc0db7 100644 --- a/docs/sphinx/source/tutorial7/tutorial.rst +++ b/docs/sphinx/source/tutorial7/tutorial.rst @@ -11,17 +11,18 @@ Method 1: Free sampling ======================= -The most direct way to calculate a free energy profile is to extract the -partition function from a classical (i.e. unbiased) molecular dynamics -simulation, and then estimate the Gibbs free energy by using +The most direct way to estimate a free energy profile is to sample +the Boltzmann distribution using a classical (i.e.unbiased) molecular dynamics +simulation, and compute relative Gibbs free energies from the relative probabilities +of states using .. math:: :label: eq_G - \Delta G = -RT \ln(p/p_0), + \Delta G = -RT \ln(\rho/\rho_0), where :math:`\Delta G` is the free energy difference, :math:`R` is the gas constant, :math:`T` -is the temperature, :math:`p` is the pressure, and :math:`p_0` is a reference pressure. +is the temperature, :math:`\rho` is the density, and :math:`\rho_0` is a reference density. As an illustration, let us apply this method to a simple configuration that consists of a particles in a box in the presence of a position-dependent repulsive force that makes the center of the box a less @@ -238,9 +239,8 @@ Data analysis Once the simulation is complete, the density profile from **free-sampling.dat** shows that the density in the center of the box is about two orders of magnitude lower than inside the reservoir. -Next, we plot :math:`-R T \ln(\rho/\rho_\mathrm{bulk})` (i.e. Eq. :eq:`eq_G` where -the pressure ratio :math:`p/p_\mathrm{bulk}` is replaced by the density ratio -:math:`\rho/\rho_\mathrm{bulk}`, assuming the system behaves as an ideal gas) and compare it +Next, we plot :math:`-R T \ln(\rho/\rho_\mathrm{bulk})`, where :math:`\rho/\rho_\mathrm{bulk}` +is the the density ratio, and compare it with the imposed potential :math:`U` from Eq. :eq:`eq_U`. The reference density, :math:`\rho_\text{bulk} = 0.0009~\text{Å}^{-3}`, was estimated by measuring the density of the reservoir from the raw density