diff --git a/.gitignore b/.gitignore
index e9ada6c..5ffe134 100644
--- a/.gitignore
+++ b/.gitignore
@@ -68,5 +68,7 @@ stage/
*.jar
spft/output/xxx_Test_Right_Only_out-file.yml
-spft/__pycache__/spft.cpython-39.pyc
-spft/__pycache__/spft.cpython-39.pyc
+spft/__pycache__/*
+spft/__pycache__
+spft/testing/output/*.yml
+.ipynb_checkpoints*
diff --git a/.vscode/settings.json b/.vscode/settings.json
new file mode 100644
index 0000000..c5f3f6b
--- /dev/null
+++ b/.vscode/settings.json
@@ -0,0 +1,3 @@
+{
+ "java.configuration.updateBuildConfiguration": "interactive"
+}
\ No newline at end of file
diff --git a/README.md b/README.md
index 6345185..3649d0b 100644
--- a/README.md
+++ b/README.md
@@ -8,6 +8,12 @@ This task is modeled on previous work, including the following (most relevant) r
- https://pubmed.ncbi.nlm.nih.gov/34704176/
- https://pubmed.ncbi.nlm.nih.gov/33885965/
+### Integration (triggering)
+- The session can be triggered to start by keypress values defined in the [configuration file](#configuration-file)
+- Each trial start/stop can also be synchronized with external devices through serial port triggering (or emulated serial port)
+ - a single trigger message is sent to the external device (e.g, arduino) for both start and stop: `byte[] TRIGGER_MESSAGE = {'1','\n'}`
+ - the generated [output file](#output) will contain a triggersOut field with times and values indicating start (`'0'`) and stop (`'1'`)
+
## Build
The application is built with Maven 3
@@ -22,7 +28,9 @@ This will generate a runnable jar in the `target` folder
## Run
This application uses Java 17. Make sure it is installed before running the application.
-- if you are running this on a linux system, you will require explicit access to the incoming data from ports {`/dev/ttyACM0`; `/dev/ttyACM1`}. This can be granted by the _system administrator_ providing the user with access to the `dialout` group with `sudo usermod -a -G dialout theUserNameHere`
+- if you are running this on a linux system, you will require explicit access to the incoming data from ports {`/dev/ttyACM0`; `/dev/ttyACM1`} and to send triggers out from the program via the serial port if desired {`/dev/ttyACM2`}. This can be granted by the _system administrator_ providing the user with access to the `dialout` group with `sudo usermod -a -G dialout theUserNameHere`
+- to ensure that you are recording from the correct devices __always__ plug the devices in to the USB ports in the same order `(left, right)` and you **must** attach the trigger output device last
+ - this allows you to ensure that you are always aware of which device is which
### Installing Java17 (linux)
Java 11 may still be the default for Ubuntu-based OSs, so you must install it explicitly
@@ -39,7 +47,7 @@ Once a JDK or JRE is installed, run
For example, if running a locally built version
-`java -jar target/spft-1.0-SNAPSHOT-jar-with-dependencies.jar`
+`java -jar target/spft-1.3-SNAPSHOT-jar-with-dependencies.jar`
This will start a window where you can load a [configuration file](#configuration-file) for a session.
There is a list of [runtime flags](#runtime-flags) that let you customize some aspects of the application
@@ -72,12 +80,13 @@ If the parameter is missing, the session will start as soon as the experimenter
`blocks.trials`: A list of references to the sequences that define each trial. The referenced sequence has to exist in
the top-level pool of sequences
`sequences`: A pool of sequences that can be referenced in blocks' trials. Each sequence has the values for the reference
-bar and a frequency in Hz that defines the speed of the sequence
+bar and a frequency in milliseconds that defines the speed of the sequence. Each value of the sequence is displayed for this length of time.
+ - a sequence must be made up of at least two timepoints (i.e., two height values) to ensure correct timing of feedback at the end of the block
### Runtime flags
Runtime flags are JVM System Properties that control some behaviour of the application
To pass a system property, use the `-Dproperty=value` syntax before the jar name that's standard in java applications. For
-example, to enable debug mode: `java -jar -Ddebug=true target/spft-1.0-SNAPSHOT-jar-with-dependencies.jar`
+example, to enable debug mode: `java -jar -Ddebug=true target/spft-1.3-SNAPSHOT-jar-with-dependencies.jar`
`debug`: Enables extra verbose logging and panel coloured backgrounds to see where each panel ends
`spft.forceData.smoothWindowSize`: The number of samples in the averaging window to calculate the height of the force bar. Default: 1
@@ -117,7 +126,8 @@ relative to the other times in the session
`blocks.trials`: A list of the presentation values and their actual timestamps using a CPU clock
`blocks.endTimestamp`: The end of the block using a CPU clock
`devices`: A list of hardware force devices with each element containing the full stream of data starting when one of the triggers is received
-`triggers`: A lif of triggers received throughout the session
+`triggers`: A list of triggers received throughout the session
+`triggersOut`: If present, indicates serial out hardware device and port name for triggers sent to arduino. Contains the times and values for each trigger
## Implementation notes
### Force bar height
diff --git a/pom.xml b/pom.xml
index c273035..adab1e2 100644
--- a/pom.xml
+++ b/pom.xml
@@ -6,9 +6,9 @@
com.github.neuralabc.spft
spft
- 1.1-SNAPSHOT
+ 1.4-SNAPSHOT
Sequence Pinch Force Task
- A Java implementation of a Sequence Pinch Force task
+ A Java implementation of a Sequence Pinch Force task, with ability to trigger to external serial device
UTF-8
diff --git a/spft/2022_06_Trial_by_trial_Bx.ipynb b/spft/2022_06_Trial_by_trial_Bx.ipynb
index 1f49a2f..befc4d9 100644
--- a/spft/2022_06_Trial_by_trial_Bx.ipynb
+++ b/spft/2022_06_Trial_by_trial_Bx.ipynb
@@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": 3,
"metadata": {},
"outputs": [
{
@@ -11,6 +11,14 @@
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
+ },
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/opt/quarantine/miniforge/envs/py3p9/lib/python3.9/site-packages/scipy/__init__.py:146: UserWarning: A NumPy version >=1.16.5 and <1.23.0 is required for this version of SciPy (detected version 1.23.3\n",
+ " warnings.warn(f\"A NumPy version >={np_minversion} and <{np_maxversion}\"\n"
+ ]
}
],
"source": [
@@ -25,7 +33,7 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": 4,
"metadata": {},
"outputs": [
{
diff --git a/spft/2022_09_DTW_known_data_test.ipynb b/spft/2022_09_DTW_known_data_test.ipynb
new file mode 100644
index 0000000..d23696d
--- /dev/null
+++ b/spft/2022_09_DTW_known_data_test.ipynb
@@ -0,0 +1,235 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Importing the dtw module. When using in academic works please cite:\n",
+ " T. Giorgino. Computing and Visualizing Dynamic Time Warping Alignments in R: The dtw Package.\n",
+ " J. Stat. Soft., doi:10.18637/jss.v031.i07.\n",
+ "\n"
+ ]
+ }
+ ],
+ "source": [
+ "import dtw as r_dtw\n",
+ "import spft as spft\n",
+ "from os.path import join\n",
+ "# from fastdtw import fastdtw\n",
+ "from scipy.spatial.distance import euclidean\n",
+ "from scipy.stats import linregress\n",
+ "from scipy.stats import zscore\n",
+ "from tslearn.metrics import dtw, dtw_path, soft_dtw_alignment\n",
+ "%matplotlib inline\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def get_dist_2_diag(t_ref, path):\n",
+ " \"\"\"\n",
+ " Compute the euclidean distance between each point on the path and the diagonal\n",
+ " Returns array of distances for each point in path (not normalized in any way)\n",
+ " \"\"\"\n",
+ " diag_len = t_ref.shape[0] #lengths are the same, so we just use one\n",
+ " diag_coord = np.arange(0,diag_len)\n",
+ " diag_coords = np.vstack([diag_coord,diag_coord]).T #now represents diagonal\n",
+ " dist_2_diag = []\n",
+ " # _path = np.array(path)\n",
+ " for el in path:\n",
+ " # print(el)\n",
+ " _sub_mat = diag_coords - el\n",
+ " _sub_mat_sign = np.sign(_sub_mat[:,1]) # sign based on y-axis, tells us which direction in time we warped\n",
+ " _eucl_dist = np.sqrt(((_sub_mat)**2).sum(axis=1))\n",
+ " _min_idx = np.argmin(_eucl_dist)\n",
+ " dist_2_diag.append(_eucl_dist[_min_idx]*_sub_mat_sign[_min_idx])\n",
+ " return np.array(dist_2_diag)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 12,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "start_time = 0\n",
+ "end_time = 1\n",
+ "sample_rate = 500\n",
+ "time = np.arange(start_time, end_time, 1/sample_rate)\n",
+ "theta = 5\n",
+ "frequency = 10\n",
+ "amplitude = 1\n",
+ "t_ref = amplitude * np.sin(2 * np.pi * frequency * time) + amplitude*np.cos(2 * np.pi * frequency * time)**2\n",
+ "t_for = amplitude * np.sin(2 * np.pi * frequency * time + theta) + 3*amplitude*np.cos(2 * np.pi * frequency * time-theta)**2\n",
+ "plt.figure(figsize=(20, 6), dpi=80)\n",
+ "plt.plot(t_ref,'.',label='ref')\n",
+ "plt.plot(t_for,'.')\n",
+ "plt.legend()\n",
+ "# plt.xlim(0,5)\n",
+ "# plt.xlim(100,180), plt.ylim(-1.5,1)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "15.0\n",
+ "15.0\n",
+ "14.292413793103448\n",
+ "14.253094910591471\n",
+ "\n",
+ "-10.63014581273465\n",
+ "-10.091600528381955\n"
+ ]
+ }
+ ],
+ "source": [
+ "path, score = dtw_path(t_ref,t_for,global_constraint=None,sakoe_chiba_radius=20)\n",
+ " \n",
+ "tw = r_dtw.dtw(t_ref,t_for, keep_internals=True, step_pattern='symmetric2') #we treat the reference as the query and the force as the target, such that we can apply the warp afterwards\n",
+ "dd = np.diff(path,axis=1)\n",
+ "d2diag = get_dist_2_diag(t_ref,path)\n",
+ "print(np.median(dd[dd!=0]))\n",
+ "print(np.median(dd))\n",
+ "print(np.mean(dd[dd!=0]))\n",
+ "print(np.mean(dd))\n",
+ "print(\"\")\n",
+ "print(np.median(d2diag))\n",
+ "print(np.mean(d2diag))\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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z6T7gnu7nyjV13QA8QO8V748DL5xDXRd3+7u32/dZMV7dfp9CL6x/sK9tIeNF7wlmFfgOvbOl64AfAg4BR7vplq7vs4APPt7xOOO6HqR3Hfb0cfZXa+sa9rjPuK6/746f++gF0LazYby69neePq76+s5lvB4nG+Z2fHn7AUlq0Ea5LCNJGoHhLkkNMtwlqUGGuyQ1yHCXpAYZ7pLUIMNdkhr0fyzGoS3kLC8dAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "hh=plt.hist(dd,bins=25)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 16,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "tw.plot(type='twoway',offset=-2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3.9.7 ('py3p9')",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.9.7"
+ },
+ "orig_nbformat": 4,
+ "vscode": {
+ "interpreter": {
+ "hash": "7c7e49c5ac55b695b895765a955ba08ff94d8ec7c8a6db901ede79032157f881"
+ }
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/spft/2022_09_DTW_test.ipynb b/spft/2022_09_DTW_test.ipynb
new file mode 100644
index 0000000..3d9795f
--- /dev/null
+++ b/spft/2022_09_DTW_test.ipynb
@@ -0,0 +1,967 @@
+{
+ "cells": [
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Importing the dtw module. When using in academic works please cite:\n",
+ " T. Giorgino. Computing and Visualizing Dynamic Time Warping Alignments in R: The dtw Package.\n",
+ " J. Stat. Soft., doi:10.18637/jss.v031.i07.\n",
+ "\n"
+ ]
+ }
+ ],
+ "source": [
+ "import dtw as r_dtw\n",
+ "import spft as spft\n",
+ "from os.path import join\n",
+ "# from fastdtw import fastdtw\n",
+ "from scipy.spatial.distance import euclidean\n",
+ "from scipy.stats import linregress\n",
+ "from scipy.stats import zscore\n",
+ "from tslearn.metrics import dtw, dtw_path, soft_dtw_alignment\n",
+ "%matplotlib inline\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "##\n",
+ "## Copyright (c) 2006-2019 of Toni Giorgino\n",
+ "##\n",
+ "## This file is part of the DTW package.\n",
+ "##\n",
+ "## DTW is free software: you can redistribute it and/or modify it\n",
+ "## under the terms of the GNU General Public License as published by\n",
+ "## the Free Software Foundation, either version 3 of the License, or\n",
+ "## (at your option) any later version.\n",
+ "##\n",
+ "## DTW is distributed in the hope that it will be useful, but WITHOUT\n",
+ "## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY\n",
+ "## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public\n",
+ "## License for more details.\n",
+ "##\n",
+ "## You should have received a copy of the GNU General Public License\n",
+ "## along with DTW. If not, see .\n",
+ "##\n",
+ "\n",
+ "\"\"\"Warp one timeseries into the other\"\"\"\n",
+ "\n",
+ "import numpy\n",
+ "import scipy.interpolate \n",
+ "\n",
+ "\n",
+ "# Ties in x are removed and their y mean is used\n",
+ "def _solveTies(x,y):\n",
+ " n = numpy.bincount(x)\n",
+ " s = numpy.bincount(x,y)\n",
+ " return numpy.arange(len(n)), s/n\n",
+ "\n",
+ "# Should mimic R's stats::approx as closely as possible\n",
+ "def _interp(x, y):\n",
+ " xt, yt = _solveTies(x,y)\n",
+ " return scipy.interpolate.interp1d(xt, yt)\n",
+ " \n",
+ "\n",
+ "def warp2(d, index_reference=False):\n",
+ " # IMPORT_RDOCSTRING warp\n",
+ " \"\"\"Apply a warping to a given timeseries\n",
+ "Returns the indexing required to apply the optimal warping curve to a\n",
+ "given timeseries (warps either into a query or into a reference).\n",
+ "**Details**\n",
+ "The warping is returned as a set of indices, which can be used to\n",
+ "subscript the timeseries to be warped (or rows in a matrix, if one wants\n",
+ "to warp a multivariate time series). In other words, ``warp`` converts\n",
+ "the warping curve, or its inverse, into a function in the explicit form.\n",
+ "Multiple indices that would be mapped to a single point are averaged,\n",
+ "with a warning. Gaps in the index sequence are filled by linear\n",
+ "interpolation.\n",
+ "Parameters\n",
+ "----------\n",
+ "d : \n",
+ " `dtw` object specifying the warping curve to apply\n",
+ "index_reference : \n",
+ " `True` to warp a reference, `False` to warp a query\n",
+ "Returns\n",
+ "-------\n",
+ "A list of indices to subscript the timeseries.\n",
+ "Examples\n",
+ "--------\n",
+ ">>> from dtw import *\n",
+ ">>> import numpy as np\n",
+ "Default test data\n",
+ ">>> (query, reference) = dtw_test_data.sin_cos()\n",
+ ">>> alignment = dtw(query,reference);\n",
+ ">>> wq = warp(alignment,index_reference=False)\n",
+ ">>> wt = warp(alignment,index_reference=True)\n",
+ ">>> import matplotlib.pyplot as plt;\t\t# doctest: +SKIP\n",
+ "... plt.plot(reference);\n",
+ "... plt.plot(query[wq]); \n",
+ "... plt.gca().set_title(\"Warping query\")\n",
+ ">>> import matplotlib.pyplot as plt;\t\t# doctest: +SKIP\n",
+ "... plt.plot(query);\n",
+ "... plt.plot(reference[wt]); \n",
+ "... plt.gca().set_title(\"Warping reference\")\n",
+ "Asymmetric step makes it \"natural\" to warp\n",
+ "the reference, because every query index has\n",
+ "exactly one image (q->t is a function)\n",
+ ">>> alignment = dtw(query,reference,step_pattern=asymmetric)\n",
+ ">>> wt = warp(alignment,index_reference=True);\n",
+ ">>> plt.plot(query, \"b-\") \t# doctest: +SKIP\n",
+ "... plt.plot(reference[wt], \"ok\", facecolors='none')\n",
+ "\"\"\"\n",
+ " # ENDIMPORT\n",
+ " if not index_reference:\n",
+ " iset = d.index1\n",
+ " jset = d.index2\n",
+ " else:\n",
+ " iset = d.index2\n",
+ " jset = d.index1\n",
+ "\n",
+ " jmax = numpy.max(jset)\n",
+ "\n",
+ " # Scipy interp1d is buggy. it does not deal with leading\n",
+ " # duplicated values of x. It returns different values\n",
+ " # depending on the dtypes of arguments.\n",
+ " ifun = _interp(x=jset, y=iset)\n",
+ " ii = ifun(numpy.arange(jmax+1))\n",
+ "\n",
+ " # Quick fix for bug\n",
+ " if numpy.isnan(ii[0]):\n",
+ " ii[numpy.isnan(ii)] = iset[0]\n",
+ " return ii.astype(int)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [
+ {
+ "ename": "NameError",
+ "evalue": "name 't_ref' is not defined",
+ "output_type": "error",
+ "traceback": [
+ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+ "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
+ "\u001b[0;32m/tmp/ipykernel_364793/466175899.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m##assymetric looks great, but we need to compute the dtw with with the reference as the query and the force as the reference\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mtw\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mr_dtw\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdtw\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_ref\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mt_for\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkeep_internals\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstep_pattern\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'symmetric2'\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#we treat the reference as the query and the force as the target, such that we can apply the warp afterwards\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtw\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdistance\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mwarp_r\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mwarp2\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtw\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mindex_reference\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#then we compute the warp for the \"reference\" (which is actually the for), so that we can apply the warp to the force to get it into the reference space\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;31mNameError\u001b[0m: name 't_ref' is not defined"
+ ]
+ }
+ ],
+ "source": [
+ "##assymetric looks great, but we need to compute the dtw with with the reference as the query and the force as the reference\n",
+ "tw = r_dtw.dtw(t_ref,t_for, keep_internals=True, step_pattern='symmetric2') #we treat the reference as the query and the force as the target, such that we can apply the warp afterwards\n",
+ "print(tw.distance)\n",
+ "warp_r = warp2(tw,index_reference=True) #then we compute the warp for the \"reference\" (which is actually the for), so that we can apply the warp to the force to get it into the reference space\n",
+ "plt.figure()\n",
+ "plt.plot(t_ref,'r')\n",
+ "plt.plot(t_for[warp_r],'k:')\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Derek\n",
+ "Isa\n",
+ "Jhelum_L\n",
+ "Kimia\n",
+ "Mika\n"
+ ]
+ }
+ ],
+ "source": [
+ "in_dir = './testing/2022_06_test_right_only'\n",
+ "subs = ['Derek','Isa','Jhelum_L','Kimia','Mika']\n",
+ "sub=subs[1]\n",
+ "import importlib\n",
+ "spft = importlib.reload(spft)\n",
+ "\n",
+ "for idx,sub in enumerate(subs):\n",
+ " print(sub)\n",
+ " data = spft.load_yaml(join(in_dir,f'LAB_{sub}_Test_Right_Only_out-file.txt'))\n",
+ " res = spft.score_spft_data(data)\n",
+ " path_len = res['all']['LRN']['dtw_path_len']\n",
+ " path_dist = res['all']['LRN']['dtw_distance']\n",
+ " rmse = res['all']['LRN']['rmse']\n",
+ " lag = res['all']['LRN']['lag_xcorr_ms']\n",
+ " path_lag = res['all']['LRN']['dtw_mean_lag_ms']\n",
+ " if idx == 0:\n",
+ " all_path_len = np.zeros((len(subs),path_len.shape[0]))\n",
+ " all_path_dist = np.zeros((len(subs),path_dist.shape[0]))\n",
+ " all_path_lag = np.zeros_like(all_path_len)\n",
+ " all_rmse = np.zeros((len(subs),path_len.shape[0]))\n",
+ " all_lag = np.zeros((len(subs),path_len.shape[0]))\n",
+ " \n",
+ " all_path_len[idx,:] = path_len\n",
+ " all_path_dist[idx,:] = path_dist\n",
+ " all_path_lag[idx,:] = path_lag\n",
+ " all_rmse[idx,:] = rmse\n",
+ " all_lag[idx,:] = lag"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 30,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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uxP7QVuVpIic9hRmFOba8/8ozpvCuWQX88Lmt1B1JzlLaKjo0+CeBao+P6QXZ5EYg2RtS5s4jYEj4WvRVHh8VxS6cjtEd2xguEeFHVy5AgFvX1mCMTv+oyNDgnwRqvb6wirkN5HiZh8QN/t29AbbWN0e8kudIlYzL4usfmM+/dh7isTfrhn6CUsOgwT/BHWzpZH9zJwsiHMBKxmWSl5nKlgSu8fP2/ma6/YExT/YO5KNnTuWsGRO4/U9b8TZ12N0clQA0+Ce4UFJ2tAe4DEZEKHe7EnrFT5UnWALbhmRvfw6H8OMrF+IPGJ3+URGhwT/BhUoRRzLZG1LudvH2/hZ6ErQGfVVdEwU5aRTnZ9rdFACmTsjilovm8o/tjTyxwWN3c1Sc0+Cf4Go8PmYW5pAdhVLE5e48unsDCVuCuNrTxMKSfKx9jLHhurNKObN0PN/74xb2+5LrTAUVWRr8E1xNFJK9IRXFiXuge2tXLzsOttqe7O3P4RB+smIhPf4A33hKp3/U6GnwT2AHmjs52NIVldOnAKYX5JCZ6kzIA91rvT6MgYVRLuM8GqUF2Xzl/XP569sHeeotr93NUXFKg38Cq/FEJ9kb4nQI84pyE3LkHzqzN9ZG/iGfPGc6ldPG8Z1nNyfdkZoqMjT4J7Bqrw+HHD99Kxoq3HlsqW9OuNozVXU+pozPZHx2mt1NGZAzOP3T1RvgG0/V6vSPGjEN/gms1utj1sQcstKic+4sWCt+Wrt62ZdgpQeqgsneWDazMIcvXzCHl7Ye4NkqrYquRkaDf4IyxlDt8bGgOD+q71PuDtb2T6Cpn8OtXXiOdrA4xoM/wPXnzmDxlHy+/exmGlu67G6OiiMa/BPU/mbr3NkFxdGb8gGYMzmHFIdQm0BJ3+oY2tw1FKdDuGPFQtq7/HzzaZ3+UcOnwT9BHUv2Rnn0mp7iZPakxEr6bqprwiGRLYEdTbMn5XLz+bN5YfN+/lTTYHdzVJzQ4J+garw+nA6hrCi6I3+w5v231PsSZtRZ7Wli9sTcqGyMi5bPvHsGC4rz+NYzmzncqtM/amga/BNUjdfH7Ik5ZKZF/9zZcreLQ63dHEyAOedQriQepnz6SnE6+OlVi2jp7OHbz262uzkqDmjwT0DGGGo8vqit7+8vlPRNhJO9PEc7ONzWHROVPEdq7uRc/t/7ZvPH6gZeqNXpH3VqGvwTUIOvk8Nt3VHb2dtfaB9BIsz7h5K9sbq5ayiffc9Myt0u/uvpWo62ddvdHBXDNPgnoOoo7+ztLyc9hekF2QlR5qHK00RaioO5k3PtbsqopDod3LFiEU3tPdz2dA29CVpxVYVPg38CqvE24XQI88cg2RtSliC1/avqmigrcpGWEr//NcrcLr5y4Vyeq9nPDQ+sp7Wr1+4mqRgUv//C1aBqvM3MmZRLRmr0k70h5W4XnqMdNLXH71SDP2Co8fpYFGfJ3oF89j9m8r3LKvjHjkOsuOvf1OvpX6ofDf4Jxkr2NkWtjPNgKoJJ3y1xPPrf1dhKe7c/LpO9A7l22TTu/fgSPEc7uOxXrx7b+6EUaPBPON6mDo6291AxxqPX8gRI+lbVNQHEfE2fkXjP3ImsufEsUp0Orv7ta/xl8367m6RiRPzsYlHDEhrdjfXIf0JOOpNdGXFd5qHK00RuegozCrLtbkr4drxo3dJzmJfu4vl3ZbH69YM8+sh6upaVcckZc5CMPMhwQVouOHQcmGw0+CeYGq+PFIfYslqloji+k77VHh8LSvJwOGLn2MYR6+mAv/wXvHkPpGSCvxuMHxfwFYBUYEPw1ldartURpOdCumuA711DX09JH+s/rQqDBv8EU+P1MXfy2CZ7Q8rcefz17YN0dPvHZGdxJHX1+tna0Myn3zXD7qaM3oHNsObT0LgVzvo8nPctcKZBTzt0NkNXC4EOH4+/upm/1+ymcrKTjy3OJ8PfDl3NwccEb+1H4Og7x6/3DiNh7EwboIPIO7lDGTcd5lwEKbF5VkKysC34i8hFwP8CTuAeY8yP7GpLogiVJri4YrIt71/udhEwsHV/M6dPHWdLG0Zra0MLPX7D4hg8tnFIxlgj/T/fZgXbj62FWecdvz8t27pRhANYOfUMzMx9/NfTtazZmMO9nziD4vzMU7+Hvwe6WqDTZ3091lmEvh/k+pE9we+D95vgvoPcIjjjeqj8JGRPiNZvRp2CLcFfRJzAr4ALAA/wpog8a4zZYkd7EoXnaAe+jp4x29nb37Gkr9cXd8E/dGxj3CV72w7DM5+D7c/D7PfD8l9DTuGQT7vmzKmUjMvkpoc2ctmvXuXejy859Z/dmQpZ463baBkD3W3wzr/h9bvgr9+Df9wBC6+GpTfCpLLRv7YaMbuyPGcCO40xu40x3cBjwHKb2pIwjtWhj/IBLoMpzs8kPys1Luf9N9U1UZibTlFeht1NGb7df4O7zoZdL8NFP4KPPD6swB9y7uxCnrzpbNKCK4FeqI3ySiARSM+BOe+Ha5+Cm9bBopVQ/QTcdRbcfylsewECuit5LNgV/IuBuj4/e4LXTiAiq0RkvYisb2xsHLPGxasar49UpzBnco4t7y8ilMfpTt9qj7W5SyQOkr293fDit+GBy6x59Bv+CstutILrCM2ZlMvTnzuHeZNd3PjwBlb/Y9fYleaeOB8+9L/w5S1w3rfh0A549MPwy0p4/bfWNJGKGruC/0D/Sk/6F2eMWW2MWWKMWVJYOPwRTbKq8TYxb7KL9BT7kq3l7jy27W+hJ45qyrR09rCrsTU+irkd3gW/ez+8+j9Q+XFY9XeYvCCslyzMTeexVcu4uGIyP3jubb7xVO3Y/v1ljYdzvwxfrIYVv4OsCfD81+DOMnjhG3B079i1JYnYFfw9wJQ+P5cAegJ1GEJlnO0+farc7aLbH2DHgVZb2zESNV4fxsDCWN7ZawxsegR++24riXr1g9aoOS0rIi+fkerkl9eczo3vmcmjb+zjU/e9SXNnT0Ree9icqVBxJVz/Elz/spXDeOO38IvT4LGPwt5/Wb8HFRF2Bf83gdkiMl1E0oCVwLPRerNEOWHqVPYdaae5s9f2Q0iOH+geP5u9qurs2Rg3bJ0+ePJ6ePpGKFoMN74KZZdG/G0cDuGWi+bx4ysX8Nquw6y469/UHWmP+PsMS8kSWHEv3FwN53wR3nkV7vsg/PZcqxPsjf+Dg+xmS/A3xvQCnwf+DGwFHjfGRPz4IWMMn77vTW7/09ZIv3TMGesyzoOZXpBNZqozrub9qz1NTJuQxbjsGFx3Xvcm/OZc2PwUvO+/4OPPQl5JVN/yw2dM5f5PnUmDr5PLf/0qm4JlL2yRVwznfxu+tMX6pOPvsTrBn5fDKz+ElgP2tW0sGAM+b1Re2rY93caY54wxc4wxM40xt0fjPUSEjFQna9/y0t0bP3PQo1Hr9ZHmdDBnkr116K1S0rlxNfK3jm3Mt7sZJwr4rWWQv7sQMPCpF+DdXwXH2ORzzplVwFM3nU1mmpMP//Y1nrP7YPi0LKj8hLVC6NqnwX06/P1H8D8V8NRnoX6Tve2LlI4m2PVX+PtP4OGr4Y6Z8L+LoKcz4m+V8Dt8V1SW8KeaBl7ZdpALy+3Z/DQWqj0+5hflxkQd+oriPJ7c4CEQMDFfKqGxpQtvUwefPKfU7qYc5/PA2s/AO/+CihVwyZ3W5q0xNmtiLk/ddA6rHljPTQ9v5JaL5vHZ/5hh74ooEZj5Xut2aKeVE3jrYah6FKaeba16mvfBMeskw+LvhYNbwLsePMHboW3BOwUK58Lci6F4CRh/xN8+4YP/ubMLKMxNZ80GT8IG/0DAUFvv49JFbrubAlhJ3wde8/POkXamx3iRtNDmrpgp47zlWXj2CxDohct+Y62DtzHYFuSk88gNy/jKE1X8+IW32Xuoje9fXkGq0/5BBgWz4AN3wHtvg7cesjqCx6+FvKmwdBWcdi1k5tvdyuOa64NB/k3wboD6t6zSGwBZBVaeY+FVVrAvPj3qHX7CB/8Up4MrTivm3n/t4VBrFwU5iVd86p0j7bTEQLI3pG/SN9aDf1VdEw45vjvZNt3t8OdbYcN94D4NrrwXJsy0t01BGalOfrHyNEonZPPLV3biaWrn1x+tJC8z1e6mWTLz4ezPW6P+bc/Burus4nav/BAWfwSWftbqKMZSdzs0bDox2DcH5+6daTB5IZx+HZScAcWVMK50zDv5hA/+YE39/PYfu3n6LS/XnxvHhbsGERq9DrnM0xhrpNHVAl2t0B382tUC3cGvXS2Qmgn502DcNMifGqwLM3yzJ+WQ4hBqvc1csjA2Po0MpsrjY86kXLLSbPyvsL/GKsh2aLu1suW9t8Vc0TOHQ/jKhXOZNiGLbzxVw5V3/Zvff+IMpoyPzFLTiHA4Yf6HrFtDFaz7DWy8H968G2ZfCMs+CzPeG/kgGwjAkV1WkA8F+wObj0/V5E+DqWdZI/uSM6x9GTFQATUpgv/sSbksmpLPmg0ePv2u6fGxizMk4A8G5tbjX7ua+3zfgqt6F19Pa2Dexr/C6239gnnr8e+7W48X1hqJ7MI+nUG/r3lTrPXZfaSnOJkzKfaTvsYYqjxNXFhm03SgMdZO1he/CZnj4bqnYcZ77GnLMF21ZAol47L4zIPruexXr7L6uiVUTovBOk5Fi+Dyu+CC78L631mF7x68HArnW53AgqtHv0ei/Yg1kg8Fe+96azkuWNVLi0+Hd33p+Kh+BCU3xpLEyxr4JUuWmPXr14/6+Q+ue4dvPl3LH7/wLts3QgGw6xXY/crJAbp/4O5pG9bL+XHgDJXMTcsJltHN6fN96Hrw57TcPt/nnHh/T4dVzrfpHWt3ZdM7x3/2eaz56BBxgKv4pE7hV2/18Id9qTz/X1chMZp823e4nXff8Qo/uHwBH1k6dWzfvLURnrkJdvwF5lwMy38J2QVj24Yw7Gps5VP3vUmDr5M7r14U85/w6O2C2idh3a+tT1qZ46yKomdcby0nHfR53XCg9niQ96y3Rvlg/dufWGaN6IuDo/qCOTF3MI6IbDDGLDnperIEf197D2f84CU+cuZUvnNpeQRbNgrbnrd2LIojeJJSTvBQjJyhA3TfIJ2WQyAtlzN++jofWFzK9y4Pb5v/sPh7oaXe6hSOdRB9vraeWBzMONOR/KkDf2rIn2b9J7Tpk9gfqur5wqNvjf2AYOfL1vLETh9ceLsVgOLp02jQkbZuVj2wnvXvHOWrF87lpvfMjP1P1cZYVUXX/drKD4gDypbDspusUbqv7vjKG+96awmpP7ihLGdycOomGOzdp1n/D2PcYME/KaZ9APKyUnl/2SSe3uTl1g/Ms6/+zb7X4YlPQNFC+PgfrGAehj2NrRzucrBgrFarOFOsPED+VJg+wP09HdBUx/ZttTzw/D+4fq6DUkej1Tl41kNn04mPT3cNPqU0inzDSFTVNZGe4hi7U896u+Hl78Jrv7SmH657GibZPBAJw/jsNB66fim3PFnNHX/ext5Dbdx++YKYWG48KBEoPce6Hd0Lb9wNGx+wPhVk5B2fvknJsHZTn3nD8bl6V3FcdtKDSZrgD1bi94/VDbzy9kEuqiga+wYc3AqPXA0uN3zkibADP1ibu8D+nb3HpGZC4Rzcrhk8/Kd0CgvncPP5s4/f3+kb+BPD4Z3WiLj/iVF98w0TZltzuUWLrN9hmP8Rqz0+yt2usVm2eGgHPPlpKxF5xvXw/u9bv6s4l5Hq5H8+vJhpE7L5xcs78Bzt4DcfqyQvK0ZWAp3KuFLrk9d7vg6bHoX91da/rZIlMKnipFxWokmq4H/u7EImuaw1/2Me/H0eeOhKK8t/7VMRSwJVe3ykpziYPTG2Pn7mpKcwfUL2yUnfjDzrU0/RwpOfZAy0NfaZUtp7vIPwrIfatRwr/ppVcLwjCN1GsFyu1x+gxuvjw2dMGfrB4TDGWoP+/Nesv/uVj1ibkBKIiPDlC+ZQOiGLW56s5vK7XuX3nziDaRNie5nvMem51r6AJJNUwd/pEK44vYTV/9jNwZZOJuaO0cEd7UfgwSusJO4n/mQFqQip8fgoc7tIiYVNN/2UuV28ta9p+E8QgZyJ1m3KmSff39VqLaFrqDp++/cvjieg00MdyyLrI3vRImut/AAJ552NrXT0+Fkczemyjib44xetujyl58IVq61PLAnqitNLKM7P5DMPbeDyX/+b1ddWsqQ0jJO/VFQlVfAHuPL0Eu762y6eeaueG949Bmv+u9vhkQ/D0T3W2aoDjXhHyR8wbK73saIyuoW+Rqvcnccfqxs42tYdmaJp6Tkwdal1C+nptLbI9+0Q3rj7eJIuNdtaV933E0LhXKpDlTyjtTFu3zqrEmdLg3VQyTk3x0fJgTAtnTGBp246h0/+/g0+cs/r3LFiIcsXn2I1jbJN0gX/WRNzOG2qteb/+nOjvObf3wtrPmmtB77qPph+bkRffs+hVtq6/SyItaJkQRXF1q7ZLQ3NnDMrSssYUzOsddXFpx+/5u+Bxm1WR7C/2voa2v4P4EznrLQZ/CSjmNK9B6F7kbVkLzUCnwT9vfDPn8Lff2wlrD/1FyipDP9148j0gmyeuukcPvPgBm5+bBP7Drfz+ffNiv2VQEkm6YI/WInf256qpcYbxWqOxsAfbobtL8AHfwbll0X8LWpiLdnbT98yD1EL/gNxpsLkCuvGR61rAT8c2R38dLCJI2/8nQ/KOhx/esm635FircA59glhoZX0G8lSvqZ9sHYV7HsNFq606s5k2Fw2wibjstN48Poz+fqTNfzsxe3sPdzOD6+I8ZVASSYpg/8lC9389x+2sGaDJ3rB/+X/hk0PwX/cYq3uiIJqj4/MVCczC2MzsTY+O42ivAxqvTFQ29/hhILZUDCbznmXc+Xf/syqc6fztWWZJ04ZbX/B+nsDQKzn9J0ymrxw4GJhm5+CZ2+2dlBfcTcsvHos/3QxKT3FyZ1XL6J0QjY/f2k7nqPt/PbaSvKzYqt0RbJKyuCfl5nKheWTeWZTPbd9cH7k1/yv+w38606r/vh7bo3sa/dR643dZG9IuTsv5so8bGlopjdgWDR1HIybbCXgy5ZbdxpjzdP37RDe+TfUPHH8BcaV9ukMFsGWp+GtB61NQlfeC+MH2gCRnESEm8+fTWlBFl99oprLf23VBCqN8YJ/ySApgz9YUz/PVtXz8taDfGBBBJd91qyBF74O8y6BD/wsaptC/AFDrbc5+ksVw1TudvHy2wdo7+61t3haH1XBk6kGPLBdxFqR43JbtdRDWhthf9WJncKWZ0JPgnP/0+roE3xt+GgtX1yMOz+TVQ+s54q7/s0jNyxl3uTknBKLFbHxv9EG58wqoCgvgyfW10Uu+O96xdq2P/UsuPIeazdslOwKLlWM1fn+kHK3C2Nga0NLzBQAq/b4mORKZ3LeCBK8OYUw63zrFtJxNFgnZnwwv6BO5YzS8Tx549lcc/c6PnL36zx6w7Kx212tThK78wVRZq35L+bv2xs52ByBI9LqN8H/fcyaI77m0ajv3qzxRHmpYoSUF8fege5VnqbI5Hoyx8H0d2vgH4EZhTk8tuosUp3CR+5ex7b9LXY3KWklbfAHa81/wMBTb4V5QPLhXfDwCisYfOzJMTk9qMbrIyvNyYzC2NrZ2587L4NxWalsjoWkL+Dr6GF3Y1t0N3epU5pekM2jNyzD6bA6gO0HtAOwQ1IH/xmFOVROG8cTGzyMurppywF46AprKeHH1o7ZDs4ar1WXxhnjZ+SKiJX0bYiNkX+oFlKsf2JKdNYnAO0A7JTUwR/gqsoSdh5spcoziuDU2WyN+FsPwkefgMI5kW/gAHr9ATbX+1hQnD8m7xeucreLbftb6O4dxUEyEbYpmOxdGCe/u0Q2ozCHR1ctwyFWB7BDO4AxlfTB/wMLi8hIdbBmQ93IntjbBf/3UavWzNUPWJUAx8iuxjY6ewIsKImP1RJlbhc9fsOOg/b/5672NDG9IDs+qk4mgZl9OoBrtAMYU0kf/F0ZqVxUPplnN9XT2eMf3pMCAXjqM7DnH7D8VzD7gug2sp/Qmb3xMvKvOJb0tX/ev6rOp1M+MSbUAYgI19z9OjtjYJCQDJI++AOsqJxCc2cvL245MPSDjYEXbrF2dF7w37D4mug3sJ8ar4/sNCcz4mSjzPQJ2WSlOdlic/A/2NzJ/ubOgdf3K1vNLMzh0RuWIQIrV2sHMBY0+ANnz5yAOy+DNRs8Qz/4nz+DN1bDWZ+Hs/9f9Bs3gBqvj/LiPBwxnuwNcTiE+UWuY8lWu4TyOoum6Mg/Fs2aaHUAEOoAWm1uUWLT4I8VnK6sLOGfOxrZ7zvFmv+ND8BfvwcLroYLvmfLkW69/gBb6ptZGOObu/qrcLvY2tBMIGDfmdFVdU04HXKs4JyKPbMm5vDYKqtk9zV3r9MOIIrCCv4icoeIvC0i1SLylIjk97nvVhHZKSLbROTCPtcrRaQmeN8vJEbqvIbW/K99a5DR/9vPWVU6Z77Pmud32NNv7jjYSldvgAVxNm9d7s6jrdvP3sNttrWhytPE3Em5ZKQmfl39eDZrYi6PrVqKMdoBRFO4EexFoMIYsxDYDtwKICJlwEqgHLgI+LWIhP7H3QWsAmYHbxeF2YaIKC3I5szS8awZaM3/vnVWXf6ixXD1g5BiX1XC0M7eWC/r0F+Z21qZZFfS1xhDtcenUz5xYtbEXB69YSnGGK65ex27GrUDiLSwgr8x5i/GmOAZeqwDQkdKLQceM8Z0GWP2ADuBM0WkCHAZY14zVoR9ALgsnDZE0orKEnY3tvFWcC040OfQ9WJrLf9I6rtHQY3XR056CqXxcj5q0JxJuaQ6hVqbyjy8c7gdX0ePJnvjyOxJuTx6wzKrA1itHUCkRXLu4lPA88Hvi4G+C+c9wWvFwe/7Xx+QiKwSkfUisr6xsTGCTR3YBxYWkZnqPJ74PXboeqZ16Hr2GB5IMohqr4+KYlfcJHtD0lIczJmUa9uKn6rg8tiond+gomL2pFweuWEZ/oDVAezWDiBihgz+IvKSiNQOcFve5zG3Ab3Aw6FLA7yUOcX1ARljVhtjlhhjlhQWFg7V1LDlpKdwccVk/lBVT6ev8fih6x97EsZNi/r7D6XHH2BrQ3PcBrByt4vN9c2jL6URhqo6HxmpDuZMiu1aSOpkcybl8uiqYAdwt3YAkTJk8DfGnG+MqRjg9gyAiHwcuAT4qDn+v9oD9C00XwLUB6+XDHA9ZqxYUkJvZyvt910JR/daFTpjpGrj9gNWiYSKOJvvDyl353GkrZuGU62oipJqTxMV7ryYPvhGDW5O8BNAr9/qAPYcsm/hQKIId7XPRcAtwKXGmPY+dz0LrBSRdBGZjpXYfcMY0wC0iMiy4Cqf64BnTnphGy2b6uKerF+Rf7Taqslf+i67m3TMsTLOcRv87Un69voD1NZH8bxmNSbmTj7eAaxc/Zp2AGEKdxj0SyAXeFFENonIbwCMMZuBx4EtwAvA54wxodoJNwL3YCWBd3E8T2A/Y3D86YucE9jAN3s+Sb17bMs2DKXG6yM3I4VpE7LsbsqozC9yITL2tf23H2ilsyegK30SQKgD6PFbOYC92gGMWrirfWYZY6YYYxYHb5/tc9/txpiZxpi5xpjn+1xfH5w2mmmM+byxYwJ4MC9/FzY9jO/M/+Rh//nh1/mPsBqvjwXFecTI1ogRy05PYXpB9piP/EPJXl3pkxisDmAp3f4AK7UDGDWdAA1Zdxf86+dQ+UnyLv4mS6cPsubfJt29Ad5uaIm79f39lbvz2DzGZR6qPU3kZabG7ScmdbJ5k108fP1Sunr9XHP3Ot6xcfNgvNLgDyceuv5B69D1FZUl7DnUxsZ9R+1uHRBM9vrjb2dvf+VuF/W+To62dY/Ze4YqecbrJyY1sPlFLh65YRmdPX5WrtYOYKQ0+O/6q3Xo+rRz4Mp7wWFtRP7AgiKy0pw8sX4Yxd7GQPWxZG++vQ0JU4V7bMs7d3T72XagRY9tTFDaAYxecgf/+rfg/66Fgjmw8hFIzTh2V3Z6Ch9YUMQfqxvo6B5mnf8oqvH6yMtMZcr46B4MH23HV/yMzdTPlgYf/oDRlT4JbH6Ri4evtzqAa1avY9/h9qGfpJI4+B/eBQ+tgMzxgx66vqKyhNauXv68ef/Yt6+fGm9TXCd7Q8Zlp+HOy6B2jEb+m+qCZZzjfLpMnVqZ2+oA2nv8rFz9mnYAw5Ccwb/lADx4OZgAXLsWXEUDPuzM0vFMGZ/JEyM94jHCunr9bNvfErebu/orL84bs5F/taeJorwMJroyhn6wimtWB7CU9h4rCVx3RDuAU0m+4N/ZDA9fCW2N8NE1UDB70Ic6HMKVp5fw712H8Ry17x/Stv0t9PhNwhw/WO52sedQG21dvUM/OExVdU0J83tTQyt35/HQp5fS1t3LytXaAZxKcgX/3i547CNWpc6rH4SSyiGfcuXpJRgDT220b81/dZyWcR5MuTsPY2BrQ3SnfnztPew93M4iTfYmlYpiqwNo7dIO4FSSJ/gH/LD2Btj7z+Ch6+cP62lTxmdx1owJrNlo35r/Wq+P/KxUSsbFd7I3ZKzKPFR7mwDd3JWMKorzePh67QBOJTmCvzHw/C2w5Rl4//dh0coRPX1FZQnvHG7nzb32rPmv9sT3zt7+ivIyGJ+dFvV5/6rguQyJkitRI6MdwKklR/D/50/hzbuDh65/YcRPv3jBZLLTnKyxIfHb2eNn+4H439nbl4gcK+8cTVUeHzMKs8nLTI3q+6jYFeoAWjp7uObudbbm7mJN4gf/DffDX78PCz9sHbo+CllpKXxwYRF/qm6gvTv6Scq+3t7fQm8gcZK9IWVu17ES1dFSVdekUz4q2AEso7mjh5WrtQMISezg39tt1eyZdX7Yh66vqJxCW7ef52vGds1/TbAOTqJNXZS78+jxG7YfaInK6+/3dXKwpUvX9ysAFpTk8dD1S2nu0E8AIYkd/FPS4BN/gqvuB2d4H/3PKB3HtAlZx494HCM1nibGZ6dRnJ8Yyd6QimDSN1rHOh47tlFX+qighSX5PHT9UnztVgfgbeqwu0m2SuzgD5A9ISKHrosIK04v4bXdh8c0cZRoyd6Q0gnZZKc5o5b0raprIsUhlBW5ovL6Kj6FOoCm9h5Wrn4tqTuAxA/+EXRFZQkisHaM1vx39vjZcbA1oZK9IQ6HML/IFbUyD9UeH/OKcslIdUbl9VX8WliSz0OftjqAa1avoz5JOwAN/iNQnJ/J2TMnsGZjHYFA9Nf8b2loxh8wcV/GeTAVxXlsDf4ZIykQMFR5mrSYmxrUoin5PPjppRxt62ZlknYAGvxHaEVlCXVHOnhj75Gov1etN7F29vZX5nbR3u1nb4TL8O493EZLZy+LNfirU1g8JZ8Hr7c6gGvuTr4OIMXuBsSbi8qL+Gb6ZtZs8LBsxoSovle1x0dBThpFeYlZlCy007fW62NmYfh5mZDjyd7E7DRV5IQ6gGvveZ33/exv5KSn4nRAisOB0yHHb2J9TXEKDhFSHILDYX0NPabv906HA6eA0+EY9LGha6HXczr7vE/f13FYZWZSnJEdq2vwH6HMNCeXLCzi2ap6vntpOdnp0fsV1np9VCRgsjdk9sRcUp3Clvpmli8ujtjrVtX5yEpzMntibsReUyWuxVPyeXTVMtZs8NDtD+D3G3oDhoAJfg0YegMB/AGDP9DnPr+huzeA35hj9x27P/j15OcEX6fPc4Yz63nZacURD9Ya/EdhRWUJj71Zx3M1DVy1ZEpU3qOj29rZ+/6ySVF5/ViQluJg7uTciO/0rfY0UeHOw+lIzE5TRV5FcZ5te2kC/ToDvzEndUBpER71g875j0rltHFML8iO6pr/LQ0+AgYWJPi8dXmRVds/UkXzevwBNtc3J9yOaJW4HA4h1ekgI9VJdnoKroxUxmWnUZibziRXBsX5mVH59K/BfxQkeMD763uORO3EoJoEK+M8mPJiF0fbe6j3dUbk9bbtb6GrN6BlnJUaggb/Ubr8tGJEYM3G6Iz+q72+YM+fHpXXjxXHyjt7I7PZK5Ts1Zo+Sp2aBv9Rcudn8q5ZBTy5wROVNf+13sTc2dvf/CIXIpGr7V9d52NcVvwfdK9UtGnwD8OKyhK8TR2s23M4oq/b3t3LzgTd2dtfVloKMwqyIxb8Q5u7Er3TVCpcGvzDcGH5ZHLTUyKe+N1S32wle5Mg+INV4TMSNX7au3vZfqBF5/uVGoaIBH8R+YqIGBEp6HPtVhHZKSLbROTCPtcrRaQmeN8vJI6HaBmpTi5Z5Ob5mv20RvAw8mNn9ibJipVyt4sGXydH2rrDep3NwU5TyzgrNbSwg7+ITAEuAPb1uVYGrATKgYuAX4tIqMLWXcAqYHbwdlG4bbDTisoSOnr8PFfdELHXrPH6mOSylnklg9D66nBH/6FjG7Wmj1JDi8TI/+fA14C+Wc/lwGPGmC5jzB5gJ3CmiBQBLmPMa8Za2P0AcFkE2mCb06fmM6Mwsmv+a4LJ3mRxvMxDePP+VR4fxfmZFOYm9goppSIhrOAvIpcCXmNMVb+7ioG+B956gteKg9/3vz7Y668SkfUisr6xsTGcpkZNaM3/G3uPsPdQ+AXKWrt62dXYyoLi/PAbFyfys6zDaiIx8tfNXUoNz5DBX0ReEpHaAW7LgduAbw30tAGumVNcH5AxZrUxZokxZklhYeFQTbXNFaeV4BB4MgJr/rfUN2MMLChJrkNIyt2usE71OtrWzb4j7ZrsVWqYhgz+xpjzjTEV/W/AbmA6UCUie4ESYKOITMYa0fctelMC1AevlwxwPa5Nzsvg3NmFEVnzXx3cpJRoZ/YOpdydx57DbaNOnFcHN4npyF+p4Rn1tI8xpsYYM9EYU2qMKcUK7KcbY/YDzwIrRSRdRKZjJXbfMMY0AC0isiy4yuc64Jnw/xj2W1FZQr2vk9d2h7fmv9broygvg4m5yZHsDSl3uzAGtjaMbvRfVdeESPIsj1UqXFFZ52+M2Qw8DmwBXgA+Z4zxB+++EbgHKwm8C3g+Gm0YaxeUTSI3I4Un1tcN/eBTqA6WcU425cXhlXmo9jQxszCH3IzUSDZLqYQVsZLOwdF/359vB24f4HHrgYpIvW+syEh1cukiN09u9NDc2YNrFEGopbOH3Y1tXB7B2vbxYrIrgwnZaaPa6WuMYVOdj3fPKRj6wUopQHf4RtRVS6bQ2RMY9Zr/UOCrSMJ5axGhzO0aVfBv8HVyqLWLxZrsVWrYNPhH0KKSPGZNzOGJUa75T5YyzoMpd+ex/UALXb3+oR/ch27uUmrkNPhHUGjN/4Z3jrK7sXXEz6/x+nDnZVCQk5yblMrdLnoDhh0HRva7q/L4SHUK84v02EalhkuDf4RdcVrxqNf813h9SVPPZyCjLfNQ7WlifpGL9BTn0A9WSgEa/CNuoiuD/5hTyNqNXvwjWPPf3NnDnkNtST11MW18FjnpKSMq8xAIGGo8Pl3fr9QIafCPghWVU2jwdfLqzkPDfk5tcIljMi7zDHE4rKmbkYz8dx9qo6WrV0/uUmqENPhHwXnzJ5KXmTqiYm/JnuwNKXfnsbWhZdifmkLJXi3roNTIaPCPgoxUJ8sXu/nz5v34OnqG9Zwar1WRcnx2WpRbF9vK3S46evzsGWaRvGpPE9lpTmYW5kS5ZUolFg3+UbKisoSu3gB/rB5e6aIar85bgzXyh+EnfTd5rB3RTkfcngmklC00+EfJguI85kzKGdbUj6+9h3cOtyf1fH/I7Ek5pDkdw9rs1d0bYGt9s075KDUKGvyjJLTm/619Tew8eOp167X1WpEyJNXpYO7k4SV9t+1vodsf0GSvUqOgwT+KLjutGKdDhlzzX63J3hOUB8s8WIe9DW5TsPy1dppKjZwG/yiamJvBe+YUsnaj55SrV2q9PqaMzyQ/K7mTvSHlbhdN7T14mzpO+bjquiYmZKdRMi5zjFqmVOLQ4B9lKypLONDcxT93DH4MZbW3iYVJdGzjUMqOJX1PPe9f5bGObbSOhlBKjYQG/yg7b/4kxmUNvua/qb2buiMdmuztY35RLg45dfBv6+pl58FWTfYqNUoa/KMsLcXB8sXF/GXLAXztJ6/5r9HjB0+SlZbCjMKcUx7sUuv1ETBoslepUdLgPwZWVJbQ3Rvg2QHW/IeCf4Vbg39f5UPU9q/SZK9SYdHgPwbK3S7mTc4dcOqnxuNj2oQs8rL0+MG+yt0u9jd3cri1a8D7qzw+SsZlMiFJy18rFS4N/mMgtOa/qq6JHQdaTriv2uPTJZ4DqBgi6VtV16RTPkqFQYP/GLnstGJSHHLC6P9IWzfepg4N/gMoc1sHutcOsNnrcGsXnqMdLJqivzelRkuD/xgpyEnnPXMnsvYtL73+AHB8vj+ZD3AZTH5WGsX5mQOO/EOb4pL57AOlwqXBfwytqCyhsaWLf+6w6vxrDf9Tqyh2sWWA4F/laUJEf29KhUOD/xh637yJjM9O44kNdYBVjnh6QTauDE32DqTcnceeQ220dJ64RLba42P2xBxy0lNsaplS8U+D/xiy1vy7eWnLQY62dVPrbdb5/lMoD877b204niQ3xlBV16RTPkqFSYP/GFtRWUK3P8Dv/71Xk71DGKi2v7epg8Nt3bqzV6kwafAfY+XuPMqKXPz277sATfaeyiRXOgU5aSckfavqrI5gkf7elAqLBn8bhE75guNTG+pkIkKZO+9YYhysPEma08G8yfp7UyocYQd/EfmCiGwTkc0i8pM+128VkZ3B+y7sc71SRGqC9/1CkrAk4/LFblIcwozCbHI12XtK5W4XOw+20tXrB2BTXRPz3S7SUnTcolQ4wlouISLvBZYDC40xXSIyMXi9DFgJlANu4CURmWOM8QN3AauAdcBzwEXA8+G0I95MyEnnpvfOYpyWdBhSudtFb8CwfX8rZW4XtV4fV1aW2N0speJeuGvlbgR+ZIzpAjDGHAxeXw48Fry+R0R2AmeKyF7AZYx5DUBEHgAuI8mCP8CXL5hjdxPiQkWfpG9GqoO2br+WdVAqAsL97DwHOFdEXheRv4vIGcHrxUBdn8d5gteKg9/3vz4gEVklIutFZH1j4+CHoajENXV8FjnpKdTW+9hU1wSgZR2UioAhR/4i8hIweYC7bgs+fxywDDgDeFxEZgADzeObU1wfkDFmNbAaYMmSJac+0FUlJIdDKCuyyjsLQk56CjMKcuxullJxb8jgb4w5f7D7RORGYK2xTtp+Q0QCQAHWiH5Kn4eWAPXB6yUDXFdqUOXFLh57o47u3gALivNwOJJujYBSERfutM/TwPsARGQOkAYcAp4FVopIuohMB2YDbxhjGoAWEVkWXOVzHfBMmG1QCa7cnUdHj5/N9c0s1CkfpSIi3ITv74DfiUgt0A18PPgpYLOIPA5sAXqBzwVX+oCVJL4PyMRK9CZdsleNTN+9EIs12atURIQV/I0x3cDHBrnvduD2Aa6vByrCeV+VXGZNzCEtxUF3b4CFWtZBqYjQnTIq5qU6HcybnEtBTjruvAy7m6NUQtCauCou3HzebJo7e0jCDeFKRYUGfxUXzps/ye4mKJVQdNpHKaWSkAZ/pZRKQhr8lVIqCWnwV0qpJKTBXymlkpAGf6WUSkIa/JVSKglp8FdKqSQkVh222CcijcA7o3x6AVa10Vij7RoZbdfIaLtGJlHbNc0YU9j/YtwE/3CIyHpjzBK729GftmtktF0jo+0amWRrl077KKVUEtLgr5RSSShZgv9quxswCG3XyGi7RkbbNTJJ1a6kmPNXSil1omQZ+SullOpDg79SSiWhhA7+InKRiGwTkZ0i8nW72xMiIr8TkYPBg+9jhohMEZFXRGSriGwWkZvtbhOAiGSIyBsiUhVs13ftblOIiDhF5C0R+aPdbelLRPaKSI2IbBKR9Xa3J0RE8kVkjYi8Hfx3dlYMtGlu8PcUujWLyBftbheAiHwp+G++VkQeFZGInWOasHP+IuIEtgMXAB7gTeAaY8wWWxsGiMi7gVbgAWNMzBxmLyJFQJExZqOI5AIbgMvs/p2JdXZjtjGmVURSgX8BNxtj1tnZLgAR+TKwBHAZYy6xuz0hIrIXWGKMialNSyJyP/BPY8w9IpIGZBljmmxu1jHBuOEFlhpjRrupNFJtKcb6t15mjOkQkceB54wx90Xi9RN55H8msNMYs9sY0w08Biy3uU0AGGP+ARyxux39GWMajDEbg9+3AFuBYntbBcbSGvwxNXizfdQiIiXAB4F77G5LPBARF/Bu4F4AY0x3LAX+oPOAXXYH/j5SgEwRSQGygPpIvXAiB/9ioK7Pzx5iIJDFCxEpBU4DXre5KcCx6ZVNwEHgRWNMLLTrf4CvAQGb2zEQA/xFRDaIyCq7GxM0A2gEfh+cKrtHRLLtblQ/K4FH7W4EgDHGC/wU2Ac0AD5jzF8i9fqJHPxlgGu2jxbjgYjkAE8CXzTGNNvdHgBjjN8YsxgoAc4UEVuny0TkEuCgMWaDne04hXOMMacDFwOfC0412i0FOB24yxhzGtAGxFIuLg24FHjC7rYAiMg4rNmK6YAbyBaRj0Xq9RM5+HuAKX1+LiGCH5kSVXBO/UngYWPMWrvb019wmuBvwEX2toRzgEuDc+uPAe8TkYfsbdJxxpj64NeDwFNY06B28wCePp/a1mB1BrHiYmCjMeaA3Q0JOh/YY4xpNMb0AGuBsyP14okc/N8EZovI9GCPvhJ41uY2xbRgYvVeYKsx5k672xMiIoUikh/8PhPrP8XbdrbJGHOrMabEGFOK9W/rr8aYiI3KwiEi2cGEPcFplfcDtq8sM8bsB+pEZG7w0nmA7Qsw+riGGJnyCdoHLBORrOD/zfOw8nARkRKpF4o1xpheEfk88GfACfzOGLPZ5mYBICKPAu8BCkTEA3zbGHOvva0CrNHstUBNcH4d4BvGmOfsaxIARcD9wZUYDuBxY0xMLa2MMZOAp6x4QQrwiDHmBXubdMwXgIeDA7LdwCdtbg8AIpKFtTLwM3a3JcQY87qIrAE2Ar3AW0Sw1EPCLvVUSik1uESe9lFKKTUIDf5KKZWENPgrpVQS0uCvlFJJSIO/UkolIQ3+SimVhDT4K6VUEvr/AQZksoD6P47OAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "SMP_trials = [0,1,2,6,7,8,12,13,14]\n",
+ "LRN_trials = [3,4,5,9,10,11,15,16,17]\n",
+ "block_design = [0,0,0,1,1,1,2,2,2]\n",
+ "\n",
+ "# plt.plot(all_path_dist[:,LRN_trials].T)\n",
+ "plt.figure()\n",
+ "plt.plot(all_lag[:,LRN_trials].mean(axis=0),label='LRN')\n",
+ "plt.plot(all_lag[:,SMP_trials].mean(axis=0))\n",
+ "plt.legend()\n",
+ "plt.figure()\n",
+ "plt.plot(all_rmse[:,LRN_trials].mean(axis=0),label='LRN')\n",
+ "plt.plot(all_rmse[:,SMP_trials].mean(axis=0))\n",
+ "plt.legend()\n",
+ "plt.figure()\n",
+ "plt.plot(all_path_lag[:,LRN_trials].mean(axis=0),label='LRN')\n",
+ "plt.plot(all_path_lag[:,SMP_trials].mean(axis=0))\n",
+ "plt.legend()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([[1. , 0.60480535],\n",
+ " [0.60480535, 1. ]])"
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x = res['all']['LRN']['lag_xcorr_ms']\n",
+ "y = res['all']['LRN']['dtw_path_len']\n",
+ "# plt.plot(x,y,'.')\n",
+ "plt.plot(y,'+:')\n",
+ "np.corrcoef(x,y)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([[1. , 0.78719043],\n",
+ " [0.78719043, 1. ]])"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x = res['all']['LRN']['lag_xcorr_ms']\n",
+ "y = res['all']['LRN']['dtw_path_len']\n",
+ "# plt.plot(x,y,'.')\n",
+ "plt.plot(y,'+:')\n",
+ "np.corrcoef(x,y)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 57,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 57,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def get_dist_2_diag(t_ref, path):\n",
+ " \"\"\"\n",
+ " Compute the euclidean distance between each point on the path and the diagonal\n",
+ " Returns array of distances for each point in path (not normalized in any way)\n",
+ " \"\"\"\n",
+ " diag_len = t_ref.shape[0] #lengths are the same, so we just use one\n",
+ " diag_coord = np.arange(0,diag_len)\n",
+ " diag_coords = np.vstack([diag_coord,diag_coord]).T #now represents diagonal\n",
+ " dist_2_diag = []\n",
+ " # _path = np.array(path)\n",
+ " for el in path:\n",
+ " # print(el)\n",
+ " _sub_mat = diag_coords - el\n",
+ " _sub_mat_sign = np.sign(_sub_mat[:,1]) # sign based on y-axis, tells us which direction in time we warped\n",
+ " _eucl_dist = np.sqrt(((_sub_mat)**2).sum(axis=1))\n",
+ " _min_idx = np.argmin(_eucl_dist)\n",
+ " dist_2_diag.append(_eucl_dist[_min_idx]*_sub_mat_sign[_min_idx])\n",
+ " return np.array(dist_2_diag)\n",
+ "\n",
+ "trial_idx = 0\n",
+ "path_len = []\n",
+ "path_dist = []\n",
+ "path_dist_dtw = []\n",
+ "path_diff_from_diag_xmy = [] #path difference from x=y, in reference to x (i.e., reported as x-y)\n",
+ "path_dist_2_diag = []\n",
+ "## TODO: path difference from diagonal as EUCLIDEAN distance\n",
+ "for trial_idx in np.arange(0,18):\n",
+ " t_ref = res['trial_data']['ref_interp'][trial_idx] #trial ref and force values, in same timespace\n",
+ " t_for = res['trial_data']['for_interp'][trial_idx]\n",
+ "\n",
+ " path, score = dtw_path(t_ref,t_for)\n",
+ " \n",
+ " tw = r_dtw.dtw(t_ref,t_for, keep_internals=True, step_pattern='symmetric2') #we treat the reference as the query and the force as the target, such that we can apply the warp afterwards\n",
+ "\n",
+ " # print(len(path), end=', ')\n",
+ " path_diff_from_diag_xmy.append(-1*np.diff(np.array(path),axis=1)) # this is the deviation from the diagonal, kind of\n",
+ " path_len.append(len(path))\n",
+ " path_dist.append(score)\n",
+ " path_dist_dtw.append(tw.distance)\n",
+ " dist_2_diag = get_dist_2_diag(t_ref,path)\n",
+ " # path_dist_2_diag.append(dist_2_diag)\n",
+ " # print(linregress(path).slope)\n",
+ " if trial_idx == 0:\n",
+ " plt.figure(figsize=(15,10))\n",
+ " plt.plot([j for (i, j) in path], [i for (i, j) in path], \"-\",\n",
+ " linewidth=1.,alpha=.5)\n",
+ "\n",
+ "path_diff_from_diag_xmy_sum = [np.sum(x) for x in path_diff_from_diag_xmy]\n",
+ "path_len = np.array(path_len)\n",
+ "path_dist = np.array(path_dist)\n",
+ "plt.figure(figsize=(30,10))\n",
+ "plt.subplot(2,2,1)\n",
+ "plt.plot(path_len,'.-')\n",
+ "plt.subplot(2,2,2)\n",
+ "plt.plot(path_dist,'.-',label='tslearn dist')\n",
+ "# plt.plot(path_dist_dtw,'.-',label='dtw')\n",
+ "plt.legend()\n",
+ "plt.subplot(2,2,3)\n",
+ "plt.plot(path_diff_from_diag_xmy_sum,'.-')\n",
+ "plt.subplot(2,2,4)\n",
+ "plt.plot(path_dist_dtw,'.-',label='dtw dist')\n",
+ "plt.legend()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 85,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "0.49457374250400793\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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dPnDww2uW3yLpvuLxj+q1Bw4WdPrAwVfU3ttaPXBwzTCyr1v+rE4fnKx9dkkXrll+u9pjfVmy/6akPygeX6L2113XMfv63xdJ75T0xXXr1C53h21+VNKVxeOrJDUTZV89eD2h9nj1jVVkH9U97m4+bvtStcekFtX+o1REPG37XknPSFqWdHNEvFq85yZJfynp9Wpv1AcHHXojSbJ/wvYetb8CPivpN6Q02e+WdLftp9T+2vsr0f5ry5D93XrtMEmWbf7rkj5ZfGP4X0n7pTTZr7d9c/H4sKTPSv3PzpR3AEhmJA9OAsAoo7gBIBmKGwCSobgBIBmKGwCSobgBIBmKGwCS+T+TZnoRliyLOAAAAABJRU5ErkJggg==",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x = path_len #path_dist\n",
+ "y = path_dist\n",
+ "plt.plot(x,y,'.')\n",
+ "print(np.corrcoef(x,y)[0,1])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 94,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "4.70 tslearn\n",
+ "175.38 dtw\n",
+ "13.404375135369287\n",
+ "-9.489402537585853\n",
+ "-0.9999973587906552\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "execution_count": 94,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "trial_idx =5\n",
+ "t_ref = res['trial_data']['ref_interp'][trial_idx] #trial ref and force values, in same timespace\n",
+ "t_for = res['trial_data']['for_interp'][trial_idx]\n",
+ "path, score = dtw_path(t_ref,t_for) #we treat the reference as the query and the force as the target, such that we can apply the warp afterwards\n",
+ "\n",
+ "alignment, soft_score = soft_dtw_alignment(t_ref,t_for,gamma=0)\n",
+ "\n",
+ "tw = r_dtw.dtw(t_ref,t_for, keep_internals=True, step_pattern='symmetric2') #we treat the reference as the query and the force as the target, such that we can apply the warp afterwards\n",
+ "\n",
+ "\n",
+ "print(\"{:.2f} tslearn\".format(score))\n",
+ "print(\"{:.2f} dtw\".format(tw.distance))\n",
+ "\n",
+ "\n",
+ "x = np.diff(np.array(path),axis=1)[:,0]\n",
+ "y = get_dist_2_diag(t_ref,path)\n",
+ "print(np.mean(x))\n",
+ "print(np.mean(y))\n",
+ "print(np.corrcoef(x,y)[0,1])\n",
+ "\n",
+ "plt.plot([j for (i, j) in path], [i for (i, j) in path], \"-\",\n",
+ " linewidth=1.,alpha=.5)\n",
+ "# np.corrcoef(xy)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 70,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "22.091042179905152\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.imshow(alignment,origin='lower',vmin=0,vmax=.3)\n",
+ "plt.autoscale(False), plt.colorbar()\n",
+ "print(soft_score)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 43,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "execution_count": 43,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# plt.plot(np.diff(np.array(path),axis=1)) #how far off diagonal are we, first pass\n",
+ "# plt.plot(get_dist_2_diag(t_ref,path))\n",
+ "plt.plot(x+y)\n",
+ "# plt.figure()\n",
+ "# plt.plot([j for (i, j) in path], [i for (i, j) in path], \"-\",\n",
+ "# linewidth=1.,alpha=.25)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 130,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 137,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "execution_count": 137,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(dist_2_diag)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "distance: 690.11\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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y60QzF/3ibdLddp68bQWzJozcmhaN5nTkWF07X316G3MmpnD3R+aMtDhjmljcjf1AB8ZqahdwRCnVfWx3Tb9IcFhZOCmNX193MlZYQ7ufN/fV9HKVRqOJNx5/kM/9ZTMCPHD9knEf1n6oiWXEshH4B7AMyAR+JyIfU0p9bEglOw3wBUI8+PYhfvHqgUjZxv+6iOxk7XWi0QwXSim+94/d7Klo5uEbllKY6R5pkcY8sSiWW5VS4ZgblcAVIvLpIZTptOGa363ttJ7l8nkTtFLRaIaZv20u46+bjvOF86b2ai/VxE4simWziHwKKFZK3SMihcD+IZZrXKGUosUboL7VR12bj/o2H+WNHdS3eSPn/PDKuXxqhXZF1miGk93lTfz3c7tYWZzJVy+eMdLijBtiUSy/BULABcA9QAtGjpVlQyjXmCQUUngDIV7ZU8mXntoGGPlWGtp9+IOnhmxx2S3My0+lKCuRi87Qb0oazXBS1+rlC49vITXBzq+uW4TNqiNcxYuYvMKUUotFZCuAUqpBRE6rRAPH69v51B/Wc7SuHYCC9ARSE+x0+IJ0+I2Pxx/sNl99XloCVy8pIDPRQbrbQUaSgwy3g7w0F9lJToy0NRqNZjjwB0OsO1xnJuWqoM0b5PHPnqmnoONMLIrFLyJWzDSzIpKNMYLpFRGZBDwKTDDPf0gp9UsRyQD+ChRh5Pn4uJlLHRH5FnArEATuVEq9bJYv4WSejxeBL6lhjPe/+WhDRKkAlDV0UNbQwYzcJFZNzsLtsJJgt+IyPwl2C95ACLfTxieXF47quELHjx/nhhtuAJgjIrsZw89Jo+kObyDIuwdrWbOrklf3VNHU4SfBbuWCWTl8dnUxCyeljbSI445YFMuvgGeBHBH5EfAx4DsxXBcAvqaU2iIiyRi2mleBm4DXlVL3ishdwF3AN0VkNnAtMAcjM+FrIjLDTCL1AHAbsA6jw7qUYUwideWifBKdNj77aOe8IQeqWimtbScvzUWiw8aeimbm5afyy2sXkpHoIMVlH/Xh8G02G/fddx9LlizZDZzPGH5OGk00m0rreWzdUV7fW02rN0Cy08ZFs3P5wJwJnDczW7sUDyF9Khal1OMishm4EBDgSqXU3hiuqwAqzP0WEdkL5ANXAOeZp/0ZeAv4pln+lFLKCxwRkRJguYiUAilKqbUAIvIocCXD3GFdPDuX0ns/CBjG+HdLailr6KC0ro2KRg/PbzfSu+880cQF970due6nH5vP+TNzSE2w47CNvjncvLw88vLygPHxnDQagF0nmvjkw+uxW4QPzs/jsrl5rJqWNSr/B8cjPSoWcyokTDXwZPQxpVR9rDcRkSJgEUYu9NxwLnWlVIWIhBOU5GO86YYpM8v85n7X8u7ucxvGGzOFhYWxitdvRIRzpmd3KvvZNfN5aVclm4828Ojao5Hyb/x9R6fzirMS+fiySXxqxWSSRlnmufH2nDSnJ3WtXv7jsc1kuB28cOfZZOloxMNObz3bZgy7igCFQIO5nwYcA6bEcgMRScLwIvuyUqq5F2N1dwdUL+WnFir1EPAQGClvY5EvXjhtVq5YmM8VC/O554q5BEOKA1UtHK5po67Ny0/W7KPNF+RwbRv3rtnHvopmvv+RuaS6R02ObAunwXPSjG+CIcWX/7qNmhYvT39upVYqI0SPikUpNQVARB4EnldKvWh+vwy4KJbKRcSO0Vk9rpR6xiyuEpE88y04D2M0BMYb7qSoywuAcrO8oJvyUY3VIpyRl8IZeUbMrxtWFnH7E1siOVqe21bOc9vKyUpysKgwnZxkp+E1lujg+hWFOG3DN//r9/sBpgLfP92ek2b80OoN8MUntvDOwVp+fNU8bZQfQWKZi1mmlPpc+ItSao2I/KCvi8R45f0DsFcp9YuoQ88DNwL3mtt/RJU/ISK/wDAKTwc2KKWCItIiIiswpmhuAH4dg9yjjt9ct4j/d+U8TjR2sOloPX9Zd5SsJCfH69vZfLSB+jYfAPe8sAeLQEhBVpKTx25dTlaSk2SXLe4GR6UUt956K4BHPyfNWEUpxX/+bTtvHajh7g/P5rrleop1JIlFsdSKyHeAv2BMbXwKqIvhulXAp4GdIrLNLPs2Rkf1tIjcijGldg2AUmq3iDwN7MHwKLvd9DQC+Dwn3VjXMEYNwiJCqttOqtvO7Ikp3LCyqNPxulYvL+yooLrFw/1vHgKgttXLZb98J3JOosNKboqL3BQX2clOEp1WnDYrTrsFl81wd3baLKbrs8Vwg3ZYcdmsJDisJDqs5KUlROw77733Ho899hhAsn5OmrHKH949wppdldx12SxuWhXTLL1mCJG+lhmYRvzvAavNon9jTJnEbLwfCZYuXao2bdrU94mjlLpWL6/sqSLJaSMYUrSYycPqWn1UNXuobPZQ0+KNLM70+kP4grEHnZ41IZkX7zwn4g4tIpuVUkuH6u/pibH+nDQjz8bSeq59aB0XzMrhd59aMupd/Ecz8eoHYnE3rge+NNgbafpHZpKz2+G8Ugp/UOELhvAFoj5BY+V/s8dPc4efpqhPQ7ufpnY//9pZEalnX2WL/gfUjHlqWrzc8cQW8tMS+Pk1C/RvepQQS2riGcDXMVZgR85XSl0wdGKNf5RSHK1rZ39VC/VtPhrbjcySje1+Gtp9NJqZJls9Abym8vAGQ/iDIeKxln2iTrWqGeMEQ4o7n9xKY7ufZ76wjNSEUeNhedoTi43lb8CDwMMYITw0g6DdF+DHL+7jsXVHTznmsFlId9tJS3CQ5rYzJSuRJKcdp92Cw2rBabPgsBn7DlvUx/zutBn2Faf95H7Y5uK0n9x3WC06RplmzHPfK/tZe7iOn149nzkTU0daHE0UsSiWgFLqgSGXZIwTCimO1LVR1eyhttVHXauX2lYvda0+alt91LR6OVbXRkO7v9N13/vwbD4wZwLpbgcuu+7wNZpYeG1PFb996xAfX1rAx5dN6vsCzbASi2L5p4h8ASNeWCSByGg33g8nSiluf2ILa3ZV9nnu1y6ewcS0BLKSnZw9LWtUB6jUaEYjx+uN3PSz81K454q5Iy2OphtiUSw3mtv/jCpTQHH8xRnd/HN7OV98cuug6pg5IZlL5kyIk0QazelFhy/I5x/fjAIe+NRiHUhylBKLV5h2CjdJcg0+ttcvXj3A/W+WEFSqk1eXP6QIBEN4AyHOn5nDfR9foP9pNBqTg1UtPPJ+KS/tqqS+zcdDn17C5MzEkRZL0wO9BaG8QCn1hohc1d3xqNAfpw3nz8yJRDgGY63JE+uPkZlkLFT0+kN4A4bbrzcQ5ESjhyc3HOtUx77Klj7v86+dFdx12SwmZbjj/jdoNGONTaX1fPL367FahAtm5fCxpQWcPzOn7ws1I0Zvr+DnAm8AH+7mmAJOO8XSlcwkJ1+8cHq3x9p9Af6xrZwnN5x6bFJGAp9eMZlkl51kl41kl50Uc5vmtpPiGp0h9jWa4aamxcvtT2xhQqqLv31uJbkp2k1+LNBbEMrvmdubh0+cscvre6u49c+bmJufQlOHn4pGD4HQqQtOspKcPPGZFXo0otH0QTCk+NJTW2lo9/PM55dppTKGGF0JQcYIvkCIN/ZVU9nUQb25sDGcg2XXiWbS3HY+d+5UlhSlc8aEFHKSnXpFsEbTDzp8QX7y0j7eP1THT66ex9x8vU5lLKEVS4y0eQPsLm/mEw+tPWXle2qCnQkpLiqbPWQlOfjTzcv1P4JG0098gRAv7a5kzc4K3tpfQ4c/yLXLJvGJZTpS8VhDK5YYmf/9VwhGTW1dOCuHn3xsPmkJdmxWbQ/RaAaDLxDi+ofXsbG0gexkJ1cvyefyuXmsKM4cadE0AyCWWGFu4GtAoVLqsyIyHZiplHphyKUbRdz94dn89z92R76/vq+aK+9/j9QEO6kJhtE9nKgrsk10kJnoYGp2EgkO7Tqs0XRHKKT46tPb2FjawA+vnMt1ywv1wuExTiwjlkcw0hSvNL+XYcQP61WxiMgfgQ8B1UqpuWbZ3cBngRrztG9HZab8FnArRjyyO5VSL5vlSziZ4+NF4Euqr1j/Q8CnVxbx6ZVFtHoD/P7fhzlS24bVIpEIwgeqWmlo89HQ7qOrzd5qEYIhRYLdyiM3LyM/LYEJqS7so2Skc8sttwAsEJFd4+FZacYWv32rhBd2VHDnhdP51IrJIy2OJg7EolimKqU+ISLXASilOiS2gFZ/An4DPNql/H+UUj+PLhCR2cC1wByMrISvicgMM4HUA8BtwDqMzupSRjCBVJLTxlcuntHj8VBI0ezxU28qmcM1bfz7YC3/3F5uzBk/tC5y7oZvX0jOKPB0uemmm3jkkUcOdnNoTD8rzejnvZJa7nv1AB9eMJGvXNS9675m7BGLYvGJSALG2hVEZCpRMcN6Qin1bxEpilGOK4CnlFJe4IiIlADLRaQUSFFKrTXv/ShwJaO4s7JYhDS3gzS3g4ffOcwP/7W3x3MfePsQ+WkJJDisJNitkWyPCXYjE2S4LNllIz3RMWQyr169GoxskLEMocbNs9KMHEopdpc3c+eTW5mancS9V83TAVjHEbEolu8BLwGTRORxjJTDNw3inneIyA3AJuBrSqkGIB/jLTdMmVnmN/e7lo8JzpmeTUF6KWUNHaccE4FH3iuNua6vXzKDOy4Y9je60+ZZaYaesDJ5aVcla3ZVcKimjWSnjQc/tZhEp/YjGk/EEivsVRHZAqwABGPevHaA93sA+AHG6OcHwH3ALWa9p9y6l/JuEZHbMKZiKCwceRfFmROSefebPedD8wVCkdTCHb4gnoCxfX57+SlK5+evHGBufiqpCcZq/QSHDbfdyGPvtA1JuP0he1aj7Tlphg6lFFuPN0aUyfH6DiwCZ07J5IaVRXxwfh5ZSc6RFlMTZ2LxCvso8IZS6l/m9zQRuVIp9Vx/b6aUqoqq9/ecdAAoA6KTKhQA5WZ5QTflPdX/EPAQGLnU+yvfcBNO1NU189303GRSE+xsP97Im/trIuU3PbKx3/f4083LOG8AcZWG8lmNteek6R/BkGJTaT1rdlXy8u5KKpo82CzCqmlZ3H7eNC6enUumVibjmpimwpRSz4a/KKUaReR7wHP9vZmI5CmlwonXPwrsMvefB54QkV9gGISnAxuUUkERaRGRFcB64Abg1/29b08EQyoSNNLjD+I3U//6AopAqPt9fzBkfA8YeecDwVAkB70/GCIQNM6J/u4zzwmE6w8q/AGjnuh9f9CIeGzcwygPe5QNlJd2VQ5IsYy2Z6UZ3fiDIdYfrufFXRW8sruS2lYfDpuF1dOz+folM7lodq5OHXwaEYti6c6gG8tI50ngPCBLRMowbDXnichCjCmSUuA/AJRSu0XkaWAPhhH5dtPLCODznHRhXcMgjcGf+fMmXttb1feJA8RqEexWwW6xYLdZsFsFm8UYmditgt1qwWa14DD3Exwn941jgqOb/c7fxazDgt1m1mmxkOS0kZJgI8VlJ8WcMovFpfm6664DmAXIaHpWmtGNxx/k/UO1vLizklf3VNHU4cftsHL+zBwunTuB82flkKRtJ6cl0tcyA3M9SiNwP0Yn80UgXSl101ALNxiWLl2qNm3adGr5D1+lttXX7TVuh9X82HA7DPtFormf6LSR4LDitlvNYyfPCV9n5JS3RpSJ3So4bVZcDkvEw2u0rtIXkc1KqaXDfd+enpNmdOLxB3lrfzVrdlXy+t5qWr0Bkl02LpyVw2Xz8lg9PVsvBh7DxKsfiOV14ovAfwN/xTDQvgLcPtgbjxTv33UhP3hhD4+tM4JGFmcndp7CCoRo83oj01FDQbrbztbvXjIkdWs0Q8XeimZu+dNGKpo8pLvtXDZ3ApfPy2PVtCyd5kHTiVi8wtqAu4ZBlmHBYbPwgyvn8oMr+86VHQop/KGudhPDVtLcEeDDv3l3QDJcu1x7QmnGFk0dfj73l834gyEeuWkZ50zPGrWjb83IE4utZAbwdaAo+nylVM9+tOMEi0VwWqx0N03c2xRiosOK3WaJ2EfC9hVja2Hz0QY+/Yf1pu1EIud0Pv+k7SX83W6z4Iyyq3R3ncNqIcFhxWU3pt9SXHYdsl8zYI7Xt/P89nL+vrmMEw0dPHnbCpYVZYy0WJpRTixTYX8DHgQexogNpQFEhH/ecTYv7qrAFwhFlITfHN2EP96AMcrxB056ihnTbQHje+DkaCjsERb2DvMFQ3GRde23LiAvNSEudWlOH7Ydb+SGP6yn2RNg4aQ0vnHdIq1UNDERi2IJKKUeGHJJhphgSFHV7Il09uH89P6gIqQUwVDURylCIUUgdPJYIGSUBbucm+62nzwWAiGE1WJ4cDlDFlz2U68Lnx9df6djShEw5fIGQnT4gpGFlB6/sagyVhfkG1dOJi1h6MLBaMYXh2paI4sZd51oJjfFyV//YyVn5KWMtGiaMUQsiuWfIvIF4FmiYoQppeqHTKoh4Jv/t4O/by7r+8Q4YLMIFotgFYnsd9qKYO2mzGY9ecw4bsGVYCXd7ehUp9UiZCU5KEh3k5PiJDvZSU6yi+xkJykum465pOk3gWCI//z7Dp7degKAhZPS+NZls/jYkgK9mFHTb2JRLDea2/+MKlNAcfzFGTpuWDmZ90pqae7w0+Yb3Iyew2ohzW3kYElLcJDqtpNu5mNJSbDjsltx2Cw4zY8jbP/osu+0GeFYupbbLKKVg2ZYCARDvLa3mj+8e5iNpQ189pwp3LxqChPT9NSpZuDE4hU2ZTgEGWrmF6Sx9lsX9nqONxCk1ROgJfLx0+zx0xz1PVLeEaDFa3yvqfZGyuJhF7FaBLfDSpLTFllXE70o0hZZUHnSiB9ZfGkJL6CMWnRpOXm+zWqhzRvgzCmZzCvQ6ZNPZ5RSfOmv2/jXjgpyU5zcc8UcblhZNNJiacYBsWaQ/CpGBsnbxnMGSafNijPJOqihv8cfNOw3waBhgDeN8F7/SQO9L2DaeQLByPGu5W3eIG3eAG2+AB2+IIGQigSt9HuMcwMh1SVszEnX6IBps+mN0ns/OOC/UzP2+eN7pfxrRwV3XjCNL144fdQkntOMffqTQfIs83tMGSRPV1xmLhUY+bhI4XU4j7xXyr1r9nU69vnzpo6QVJrRwKbSen784l4uOiOHr1w8Q0+9auLKUGaQ1IwAvkCIdl+Adl+Qdl+ANm+QbccaO51z5MeX647kNKa21cvtT2xhYloC912zUP8WNHFnyDJIagaOUoqQgro2L79+vYQTjR3kJDtRClp9Adq9Adp8Ru6W8FRZm9dQJn2FoXnja+fqjuQ0pqndzx1PbKGh3c8zn19GqnvkR9aa8cdIZJAc1RysaqG+zUebL9qIH6DdFzDD5Jvh70PGNmzfCARVJPR9wAwDEwwp/CFFMOp7eK1KIMoOcnIbrqd75ZCb4iTRYYsExMxKclDodOO2nwySmRgVRNPttJFoOgFMTEsgL9Wlw3CchtS3+Xh1TyVrdlXyXkkt/qDiZx+bz9x87byhGRp6VSwiYgHSgauITwbJUcvRujbO/dlbPR63CJ3C13fyvrJ0LbNgtQhOuwW3xYI9vC7FKsbiSfO73XpyvUp4XYtxnnEOwHsltUacpnOncuUinelXExvVzR5e3m0ok3WH6wgpKEhP4MaVRXxk4UTmF6SNtIiacUyvikUpFRKRO5RSTwP/GiaZRoQjtW2nlOWnJfDJMwv55PJC0tz2EZlCuvPCYc9zrxnDlFS38F/P7mJDaT1KGdG7P3fuVC6fl8eciSl6GlQzLMQyFfaqiHwdI2x+pPfta+W9mcflQ0C1UmquWZZh1lOEkTzq40qpBvPYt4BbMeKR3amUetksX8LJ5FEvYoyY4h7P/ryZORz58eXsr2rh0v99B4ATjR387OX9/Ozl/VgtQpLTRpLTRrLL+CQ5bSS57LxfUkuCw8rvb1g6JkNf3HLLLQALRGTXWHhWmu45UNXCJ3+/nmAoxJcunM5lc/OYkZuklYlm2Ikl0deRboqVUqrXlfcishpoBR6N6qx+CtQrpe4VkbswEoZ9U0RmA08CyzHS3b4GzDDT3W4AvgSsw+isfqWU6jMzYTwSSL22p4pNRxtITbDT5jUXSHoDkUWUrd4AO080dbpmLK4N+fe//8255567FwgN97PSib7iQ4vHz0d+8x4tHj+Pf2YFMyckj7RImjHIsCX6GujKe6XUv0WkqEvxFRjpigH+DLwFfNMsf0op5QWOiEgJsFxESoEUpdRaABF5FLiSYUp5e9HsXC6andvrOd5AkJnfeSny/WMPvE9mkoOMRCc5yU6WT8lgSlYiuSkurKM0fP3q1avBSDMcbdkfU8/qdEYpxTf+voOjdW088VmtVDQjz3CvvM9VSlUAKKUqRCTHLM/HeMsNU2aW+c39ruU9yXobcBtAYeHwJNNy2qw8ddsKntpwDH9IUdfq5UhtG5uPNlDf5iPs4GW1COlueyQt8pLJ6fzxxmWkJIzaoJFD9qxG4jmNV47Xt/O1p7ezobSeuy6bxYrizJEWSaMZNSvvu+tZVS/l3aKUegh4CIwplviI1jcrijO7/Ydu8fjZdryR4/UdlDd28Id3T84qbj7awIJ7XiE1wc68/FTcDqu5at8SWb3vtFk6bTvvG0Eso7ddrxkihTXoZzVSz2k8UVrbxi9fP8i/dlRgswrf/dBsbl5VNNJiaTTA8K+8rxKRPPMNOA+oNsvLgElR5xUA5WZ5QTflY4Jkl51zpmdHvn/tkhm8faCGhnYf/qCisd1HSXUr+6taqW31RvKteAInc68Mhg/Oy+P+6xcP9PLT6lmNJZra/Xz6j+upbvbysaUFfObsKRRnJ420WBpNhOFeef88Rhj+e83tP6LKnxCRX2AYhKcDG0yDcIuIrADWAzcAvx7gvUccEeG8mTl9n2iizERf4aRknqitJxCkucPPwepWHnjrEE0d/lOuDw3OIeu0flajlVBI8bW/baOi0cNf/2MFSybrjI6a0ceQrbwXkScxjL9ZIlJm1nMv8LSI3AocA64BUErtFpGngT0YRuTblVLhpCmf56QL6xpOI2NwMKRoaPdR1eylpsVLbauX2hYv5U0dlFS3su14I/7gSeXx4QUTOSMvmTkTU5kzMYWsGKM0X3fddQCzANHPavSilOLnr+zntb3VfPdDs7VS0YxaenQ3FpFVSqn3RMQJJHFy5f26sbDyPt5urMGQosNvxOcKh7v3dgmLH85dH8l5H1Cdv5u57Dt9D4bwm2Wt3iBNHT4a2v00tvupb/PSXXSXdLedqdlJzJ6YwqLCNKZmJzE9J5kEh3XAf1+83Az7i3Y37p1QSLH1eCNrdlawZlclJxo7uHpxAT+/Zv5odfrQjGGGw934V8ASYK1SajFjfOX9icYOnt1ShsNmwSJiBnA8GQG4wx+OCGwoj3YzuGOH3yjzBgafwCtM5wRdFhxmGBi3w0hDPCM3idQEB9lJDnJTXUxIMdIOZyY5yUx0mGH5NeOdP7x7hIf+fYiqZi92q7BqWhbfuHQmH1kwUSsVzaimN8XiF5FHgHwR+VXXg0qpO4dOrPjzqYfXdxu2pSeSnTaykp0UpLvJTnaSleQgK8lJqtuOy3Yy9XA4xXA4rbDdKjjCSqPrdzOLo+4UNL3hC4R4bN1RfvDCHpYVpXPXZbO4YFYuqQk6ErFmbNCbYvkQcBFwAYa78Zjm0VuW89i6owSCCm8gSFWzl1avkU642eOnucNPqzcQmXpq8QZo8QZOUUY2i5BohnZJdFpJdhm57tPddhKdNpo9ftISHHztkhkkOmMxYWk0J/nbpuPc88IeWjwBzpmexR9uXIbDpiNSa8YWPfZ8ph3lKRHZq5TaPowyDQmTMtx8+/Izej1HKcOOUtvio6bVQ6uZHrjVG6C5w09Vs4fyJg/ljR1s7ZI8qyvTcpL45Jl68Z8mdt4/VMtdz+xk4aQ0bj9/KqunZ+s0B5oxSSyv1B0i8jrGSuy5IjIf+IhS6odDLFvcCYWUuV4kRJsvYMT/8hpbQ4EYiqS+zceBqhbqWn2R0UybL3hKfU6bhfx0I89JboqLwgw3OcnG9qypegW0pm9qWry8sqeSNTsrebekloL0BB65eRkpLj3tpRm7xKJYfg/8J/A7AKXUDhF5AhhziuXOp7bywo6KQdeTl+pi5oRkFhemk+IyEm8lm9tEp41kp42qFg8pLjtuh1XbVDSd8PiD/G3Tcf65o4JNpfWEFBRluvn8eVP59IrJWqloxjyxKBa3UmpDl84xMETyDCk3rypi3eE6nDbrScO7Gf7EGWWMB/AHFX4zM2S0e3BTh58Wj5/3S+p4a39NzPf+/HlTWVmcyeoZ2X2frBm3NLX7ufrB9ympbmV6ThJ3nD+Ny+blMWtCsn4B0YwbYlEsteZq+/DK+48Bg3/tHwGWTM5g03cujlt93kCQtig7TOTjOWmXeX57OSXm6vgH3jpEUaabSRluyhs7+ONNy5icmRg3eTSjG6UUX/vbdkpr23jo00u4ZM6EkRZJoxkSYlEst2MEDJwlIieAI8D1QyrVGMEY+VjJSHR0ezwUUlw0O5fqZi+Pri1lza5KSuvaKa1rB+Dah9ax9lsXDqfImhHkwbcP89reKr7zwTO0UtGMa2LJx3IYuEhEEjHydXQAnwCODrFsY54fvbi3U0TjrigF1z+8LrLOxWGzdNo/WSadvhuLKi3YbYLNEi7vad9CgsOKy9wm2LXNZzhpbPfx2t5q1uys4PV91Vw+bwK3nj2gFEcazZihR8UiIikYo5V8jACEr5nfvw5sBx4fDgHHMh9fOon3D9Xh9QdJddvJSnLisFrwmiFcfGaAyRZPIBIaJlweDv/iM7/Hk513X0KyNhAPGbWtXl7dU8WLOytYe6iOQEgxMdXFZ86ewpcvnqEVu2bc09uI5TGgAVgLfBb4BuAArlRKbRt60cY+Mycks+ZL58R8fiAYor7dR02Ll5LqVqqbvbT5jFAzzR1+Gtp9NLb7TQeCAE3mos7+8IE5uTokzBBQ2eTh5d2VrNlVwfoj9SgFkzPd3Hr2FC6bl8eCglStUDSnDb0plmKl1DwAEXkYqMXIItkyLJKNYZRSNHcEqGk1IhI3tvu6xCEL0u4PGKv+O/yUNbRzvKGDhnYf3cUEddktuB023A4rboeVBIeNdLfDmNpyWHHbrVH7NhIcFhIcNtz28PlWzshLITfFNfyNMc5RSvGd53bx+PpjgLEw9o7zp3Hp3AnMzkvRykRzWtJrrLDwjplr44hWKn3T4vEz7+5XYjo32WUjJ9lJZqKTS+dOIDvJiEmWmeRkYloCxdmJJDpsWC26cxqtPPzOER5ff4xrl03i1rOnMD1X55vXaHqLF7FARJrNTwswP7wvIs2DuamIlIrIThHZJiKbzLIMEXlVRA6a2/So878lIiUisl9EPjCYew81LruVG1ZOjuncFk+A8kYPDe0+3j1Yy/Pby9l0tIELZuWwcFIaKS77iCuV8fysBsuGI/Xc+9I+PjAnlx9fNU8rFY3GpLdYYUM9EX9+l7wudwGvK6XuFZG7zO/fFJHZwLXAHIyMha+JyIyo5FKjCrvVwj1XzOWeK+ailKKm1dsp0GWLJxAJy1/X5mNvRQuv7a2KXH+kto2Fk9K4edWo8hwal89qMFS3eLj9iS1MSk/gZ9cs0FNeGk0Uoyn87hUYGScB/gy8BXzTLH9KKeUFjohICbAcw6lg2AkEQ7SbCb/avIZhPbI14481tvtp7PDT6gnQ4jEM7M0eY+FkizdcHiDQXRYvID8tYZj/qn4zJp7VUFFa28aX/rqN5g4/f755uQ7BotF0YaQUiwJeEREF/E4p9RBGkMsKAKVUhYiEk8PnA+uiri0zy05BRG4DbgMoLIw9svCxunaufWgtZxZnImJMUUUSgJkKI6xAYk34ZbMIyS4byS47SWYssYlpLpJdyZHvyS47mUkOspOcZCc7mZDqIsPtwDK6bCpxf1YDfU4jyZHaNl7cWcGLOyvYXd6My27hl9cuZPbElJEWTaMZdYyUYlmllCo3O6RXRWRfL+d218t2+6pvdnoPgZHyNlZhVv/sTQCe3Xoi1kuwWoR0t500MxdL9DYn2Um62xFJ/uWwWXDZrJEFigl2Ky6HhXS3A/voD4se92c10Oc0Emw+2sBv3yzh9X3VACyYlMa3LpvFhxZMHAsjS41mRBgRxaKUKje31SLyLMZ0SZWI5JlvwHlAtXl6GTAp6vICoDye8vzwyrl857ldfGh+HhaRTgsTfYEQ3sh+sFN5hy9IU0cbJdUD6xvzUl2jPqTLaHtWw8me8mauf3gdboeNz54zhRtWFjEpwz3SYmk0o55hVyzh0DBKqRZz/xLgHuB54EbgXnP7D/OS54EnROQXGAbh6cCGeMr0qRWT+dSK2Dy5wLCz7DzRxGPrjnKkto1kl50Wj7FwsbnDyErpC/Y9ZXbXZbMGI/aQMxqf1XDR7PHzhcc3k+Ky88KdZ5OTrNcAaTSxMhIjllzgWdOLxgY8oZR6SUQ2Ak+LyK3AMeAaAKXUbhF5GtiDEa7/9pHyMnp603F++2ZJJIhkmJm5yaS67UxKd+PKsRhTXXYriU4bKS47yS4bqQl2puUkMSnDTbrbPla8iMbssxoMoZDiP/+2neMNHTz52RVaqWg0/WTYFYsZ1HJBN+V1QLfzQkqpHwE/GmLRekUpxTf+vqPbY/urWrBahCSnjSSnjZwUJ5mJDnzBEEHT88tuFY7UtlHd4iXRYTWTglkjycFG40LIsfqsBorHH+TNfdU8ufE4/z5Qw39dfgbLp2SMtFgazZhjNLkbj2pEhO3fu4SKpo6Iu3Czx0+z6VLc5g27EweobPJwotHD3ooWY+1KjPG8HDbLKQEns5KcPHbrcs7I095HQ4nHH+SaB9ey80QTGYkOvnHpTD5zzqhaS6TRjBm0YukHqQl2UhP6v2bBHwzR0O4z3Ji9QVq9AY7Xt/PL1w9yorEjcl53UYxrW71sPdaoFcsQEgwpvv3MTnaeaOKnV8/nqsX52Ea/t55GM2rRimUQKKXw+EM0e/ym8T5g7gciq+yjV9yH95s6/ByubYsEnDxneha5KS5ykp2RbU6Kk5xkF9nJTh2NeAgIBENsLG1gza4KXtpVSXWLlzsvnM7Hl03q+2KNRtMrWrHEyMbSem784wa8gRBpCXYURsBJf7B3V2O7VSIG/JQEuxl40sVHFuSzcmomcyamkOjUj2E4+d3bh3jo34epa/PhtFk4d0Y2Vy3O5wM6q6NGExd0jxYjf3qvlHaf4eBU1+aLlM/OSzFHF8YIIzfFSXayK1KW5naQYLeOOsP86Yg3EOSP75byk5f2saI4g3tWFHHezGyt2DWaOKP/o2LkV9ct4luXz+LVPVV8/597IuV7KprZU9H39Q6rBZfdgst+cgW+024lIVxmt9LuC3KisYMFBWn86KNz9RRYnAiGFD94YQ9/31xGqzfARWfk8MCnloyFqAcazZhEK5YYsVqEgnQ3N68yVmA3dfjpMINRevzGp8MfxOMPmVuzzNdNWWQbwuMLUtbQQUl1a+ReJdWt3HJ2EXMmpo7gXzx++OVrB/jT+6V8cH4eH1tcwOoZ2XoEqdEMIVqxDACrRchIdAy6HqUUG47U84mHTsZtvPeqeVw0O5esJOeg69fAm/ur+dUbJVy9uICfXzN/rCxM1WjGNFqxDDFt3gB1rT4qmjrYWFpPrbl/rL6DvRUn86XZrcLu71+Kw6anZ+JBMKR4auMx7n1xH7MmJPPDK+dqpaLRDBNasQyAUEjR1OGnrs1HXauXQzVtlDW0U9fqo67NS02rUV7X6qPDf2pEk2k5SeSlurh6cQFTstycWZzJsiK9wjtevLqnip+9vI8DVa0sKEjlV9ctIsGh7VUazXBx2isWXyBEuy9Aq5msq9V7chFjuy9Am5mHpbLJQ2ldG8fq2jne0H6Km7HVImQmGvnqs5IcFGclRvLXZyU5yUxykJ+WwPScJP3mPASEQortZY385g0jxH1xdiL3f3Ixl8+boNtboxlmxr1iaWr3873nd7G9rAlfIITTbsHrD0WyPfa1DiVMosNKUVYiZ+SlcMmcCeQkG8oiI9HB5IxECtITRluCrtOCUEjxyPul/OGdw5Q3eXA7rHz78lncvGqK9vrSaEaIca9Yntx4jOe29Z0SxGoRJqS4mJBqflJc5KW6yDW3eWkJZCY6tAvwKMEfDPHaniqe2HCMdw7WcuaUDL56yUwuPiOXVLdOFazRjCTjXrHcdk4x8wtS6fAFqW7xUtnkobrFQ1MkzIoRRLLFE6Cuzdspdld35KW6mJThJifZSCecmmAn0WHD7bQaWzNycXib4rKT5rZrhRQnlFK8tb+GH724l5LqVjISHXzlohnceeE0PeWl0YwSxr1isViEs6ZmxXy+LxCi1XtS2TR3+Gn2+Glo91Pd7OVofRtl9R3sLm+mpsVLa4yRi7vy/B2rmF+QNqBrT1eCIcUdT2xhza5KCjPcPPipxVx0Rq4OGKnRjDLGjGIRkUuBXwJW4GGl1L1DcR+HzUKGzRHzOpVgSNHhD9LuPWnob/cFafMFqG3x8rdNZWworT/luuaOgSmk0c5QPqdfvn6QNbsqufPC6dxx/jTtmq3RjFLGhGIREStwP3AxRl71jSLyvFJqT+9XDj3RCb7C7Chr5OO/29jjNVctysfjD/JeSS1uh5Vkl40kp50klw233TpmnQCG8jm9tb+aX79xkKsW5fOVi6braS+NZhQzJhQLsBwoMTMaIiJPAVdgpMAddZQ3eno9/szWEzyz9US3x0QgyWHjQwsm8uOr5g2FeEPJkDynwzWtfPmv25iRk8yPPjpPKxWNZpQzVhRLPnA86nsZcGbXk0TkNuA2gMLCwuGRrBsunTuB0ns/GPkeCik8ASNuWCROmM9YPxNeO9MalYGysd3H1OykEZN/EAzJc8pMdLJiSiZ3XTZLL3TUaMYAY0WxdPeKesoCFKXUQ8BDAEuXLo1tgcowYLEIbocNt2OsNPeAGZLnlOq28+CnlwxeOo1GMyyMFetnGRCd2q8A6Htxima40c9Jo9GMGcWyEZguIlNExAFcCzw/wjJpTkU/J41GMzamwpRSARG5A3gZw431j0qp3SMslqYL+jlpNBoYI4oFQCn1IvDiSMuh6R39nDQazViZCtNoNBrNGEGUGjXOU3FFRGqAo4OsJguojYM4Q1lnvOqbrJTKjkM9/aKfz2konsdg0PL0jpand0ajPOnAWqXUpYOpaNwqlnggIpuUUktHc51DIeNoZbT9rVqe3tHy9M54lkdPhWk0Go0mrmjFotFoNJq4ohVL7zw0BuocChlHK6Ptb9Xy9I6Wp3fGrTzaxqLRaDSauKJHLBqNRqOJK6elYhGRS0Vkv4iUiMhd3Rz/TxHZZn52iUhQRDLMY6UistM8tqkfdZ4nIk1R9X63r2tjqPN6Edlhft4XkQVRx7qVcyzSVzsM4X1PaUMRyRCRV0XkoLlNjzr/W6aM+0XkA3G4/x9FpFpEdkWV9fv+IrLE/DtKRORXMsC8Az3Ic7eInIj6XV8+jPJMEpE3RWSviOwWkS+Z5SPSRr3IMyJtJCIuEdkgIttNeb4/bO2jlDqtPhihRg4BxYAD2A7M7uX8DwNvRH0vBbL6WydwHvBCrPLEWOdZQLq5fxmwvjc5x+Knv88rzvfu7ln/FLjL3L8L+Im5P9uUzQlMMWW2DvL+q4HFwK7B3B/YAKzEiD69BrgsjvLcDXy9m3OHQ548YLG5nwwcMO87Im3Uizwj0kbmtUnmvh1YD6wYjvY5HUcskWRUSikfEE5G1RPXAU/Guc5Yru2zTqXU+0qpBvPrOoxowuONwbTtUHAF8Gdz/8/AlVHlTymlvEqpI0AJhuwDRin1b6BrXut+3V9E8oAUpdRaZfQQj0ZdEw95emI45KlQSm0x91uAvRg5gUakjXqRpyeGWh6llGo1v9rNj2IY2ud0VCzdJaPq9uGLiBu4FPi/qGIFvCIim8VIWNWfOleaw9I1IjKnj2tjltPkVow3id7kHIv0tx3iSXdtmKuUqgCjIwFyhlnO/t4/39wfSrnuEGM69o9R0yrDKo+IFAGLMN7KR7yNusgDI9RGImIVkW1ANfCqUmpY2ud0VCwxJaMy+TDwnlIq+i1tlVJqMcbU0+0isjrGOrdghE1ZAPwaeK4PeWKWU0TOx1As3+xDzrFIf55XvOlPG46knL3df6jlegCYCiwEKoD7hlseEUnCePn7slKqubdTh0OmbuQZsTZSSgWVUgsxZjOWi8jc3kSPlzyno2LpTzKqa+kyDaaUKje31cCzGNMdfdaplGoOD0uVEQHYLiJZvVwbk5wiMh94GLhCKVXXh5xjkRFLHtZDG1aZUwOY2+phlrO/9y+j8xRpXOVSSlWZnVcI+D0nf2fDIo+I2DE68ceVUs+YxSPWRt3JM9JtZMrQCLyFMQMz9O3TX4PQWP9gpAo4jGGcChuD53RzXirGfHJiVFkikBy1/775oPqsE5jAyXVDy4FjGG8C3V4bY52FGPOgZ3Up71bOkW77oXxeQ3Dfnp71z+hs+PypuT+HzobPwwzSeG/WW0RnY3m/74+RgG0FJw2vl8dRnryo/a9gzNEPizzm9Y8C/9ulfETaqBd5RqSNgGwgzdxPAN4BPjQc7TNsHcRo+gCXY3hsHAL+yyz7HPC5qHNuCv8AosqKzYbfDuwOXxtLncAd5jXbMQztZ/V2bYx1Pgw0ANvMz6a+5ByLn57aZ4jv2W0bApnA68BBc5sRdc1/mTLuZ4CeTl1keBJj6sSP8dZ460DuDywFdpnHfoP5ghMneR4DdgI7MLKF5g2jPGdjTMnsiPofuHyk2qgXeUakjYD5wFbzvruA7w70N9xfefTKe41Go9HEldPRxqLRaDSaIUQrFo1Go9HEFa1YNBqNRhNXbCMtgOb0JisrSxUVFY20GBqNBti8eXMzcUhNrBWLZkQpKipi06bBxchs9vhJcdnjJNHw4/EHcdmtca93rLaLUooOfxC3I77dk8cfxGmzMMCYlyNOhy9IgiP+v5NoROTgYJUK6KkwzRjnkfeOsPD7r/Dn90tHWpQBsWZnBfPufpkH3z4U13p/+dpBFnz/FZ7acCyu9Q41Sim++X87WPrD19h1oilu9e4oa2TZj17j1j9vwh8Mxa3e4eLrf9vOoh+8Etc2GUq0YtF0QoYgpcBQsa+ymXte2ENIwQ9e2ENVs2eobxlXGtt93PXMTvxBxf++doA2byAu9a47XMf/vHYApeDuf+6msd0Xl3qHgzf3V/P0pjLafcG4KdsOX5DPPbaZFk+AN/ZV8/fNZX1fNIp492Atf99chscf4uF3Do+0ODGhFYsmgohYgfsxYmPNBq4TkdnR5yilfqaUWqiM+EPfAt5WnWOpnW8eXzrU8j7078M4bRae+cJZBJXiL+uODtm9mtr9ca/zkfdKafH4+e6HZuPxh1h/pK7TcY8/OKB6/9+Le8lPS+DZL5yFxx/iqY3H+75oAAxFm/z2zUNMznRzzZIC3txXTSh0cp2dLxCi3dd/5fuvnRWUN3n48y3LmZefysPvHO5Ub7xQStHiiX+b/M9rByhIT+CqRfm8vrf6FNkH+jsZSrRi0UQzFCkFhgSlFO+X1HHx7AksLkznojNyeXz9sSH5J3tmSxmLfvAKX/3rNoJx7JDe3F/N4sJ0rl0+CYvA9uMnpzkeX3+UeXe/zMu7K/tV5/H6dnaUNXHzqiIWFaZz1tRM/vx+adynf57acIwF97wS1ym8+jYfm481cOXCfJYVZdDmC3K0vh0AbyDIR3/7Hqt/+ma/R6bvl9SSmehg9fQsbj17Codq2vj3wZq4yQ3G7/GmRzay+Aev8ko/n1lvVDd72Hy0geuWF7KiOJMWb4DSujYAAsEQX35qKyt+/DoVTR1xu2c80IpFE81QpBQYEsoaOqhs9rC8yIhAfsuqKdS3+Xhu64m43sfjD3Lvmn2EFDyz9QR/eDc+UxH1bT52nmhi9Yxs3A4bxdlJ7KkwAvNWNnm4+/nd+IOKe/65p19v1+8crAXg3BnZgNEuFU2efiuo3vD4g/zvawcB+NnL+9lR1hiXetceqkMpOG9mNmfkpQCwp9xok7+sO8bu8mZqW3386vWDMdeplOL9Q3WsmJqJiHD5vDxykp38Kc42ubcP1PD2gRr8QcV3/7E7bi84648YkwFnT8tiXkEqADvKjBeQpzYe57lt5TS2+/mfVw/E5X7xQisWTTRDkVLg1JuI3CYim0RkU03NwN4cw/9wy6ZkALCiOIMpWYlx7UAB/rbpONUtXp747JmsLM7k0bVHiUcYpE2l9SgFZ03NBGB2XkqkE33k/SMoBV84byonGjs40Rj72+j6I3VkJzuZlpMEwAWzcihIT+DZLfFTuE9tOEZls4cHP7WYjEQH970Sn05tf1ULFoEz8lKYnpuERQw7Wiik+N3bh1g1LZOrFufz/PbymJ/Bkdo2Kps9kXZ22Cx8ZMFE3j9UhzcQn85fKcUvXz9IfloCj96ynMpmD4+vj4/TxKbSetwOK3MmpjA9JwmnzcKuE00opXjgrUMsK0rng/PyWHu4ru/KhhGtWDTRDEVKgVNQSj2klFqqlFqanZ09IEE3HqknNcHOjJxkAESEs6ZmsrG0gUCcpn18gRAPvn2YJZPTWVmcyZWLJlLW0MHB6ta+L+6D3eXNiMDsicab+Rl5KZxo7KCp3c9b+2o4sziDi2bnArC/siWmOpVSrD9cz5lTMiIutRaLcM70bDYcqY/LNF6HL8j9bx1iRXEGl87N40Pz81h/pC4uU20l1S1MzkzEZbfislspzk5ib0ULu8qbqG7x8rElBSyclEaLJ0BVszemOsMd7llTsyJly6dk4AuEIm/+g+Wdg7VsPdbIF86fyuoZ2cwvSGXNzoq41L23ooXZeSnYrBZsVgtn5KWw80QTJdWtnGjs4KrFBcyemMLx+o64OX/EA61YNNFsBKaLyBQRcWAoj+e7niQiqcC5wD+iyhJFJDm8D1yCEQ11aAQtrWfp5HQslpODrBXFmbR6A+wu7y3XU+w8t/UEJxo7uOOCaYgIK4qNt94NR2LNztszu8ubKc5KjKzVCCuY1/ZWsb+qhdXTs5maZYw6jtS2xVRneHrwTHMUF2ZFcQYt3gB7KwbfLo+vP0pNi5evXDQDgMWF6Xj8IfZVxKb8euNAVWtkpAWGst1d3sSb+4xR7TnTs5mWbRwviVG5v3+ojgkpLooy3ZGyZUVG+8TjOQL88vWDTEx1cc0S451s1bQsth1vjEtHX1LTuU3m5qewu7yZ1/cZKVTOmZ5FYYbxt5U1jB47i1YsmghKqQBGeP+XMfJ1P62U2i0inxORz0Wd+lHgFaVUdI+XC7wrItuBDcC/lFIvDYWcda1eDte2RabBwpxZbHxf18e0QGuM//C/f+cwc/NTOM+0VxRmuMlJdrKxdPAd0r7K5ogdAWDp5HTcDitf+9t2AM6bmUOq206a2x4x1vZF2EYzNz+1U/mZUwyF2Fe7xGLLeXTtUVYUZ3CmqWQXFaYBsPV4Q0wy9oQvEKK0to3pUZ3o2dMyqWjy8D+vHWDJ5HSykpxMinSi7X3WGR7BrTTtK2HSEx1Mz0nqU7EEgqE+p8vKGtrZfLSBG88qwmEzutOVxZkEQopNRwfXJvVtPurbfJ0Uy+rp2bR6A9y7Zh8zcpMoSHdHFMux+r7bZLjQikXTCaXUi0qpGUqpqUqpH5llDyqlHow6509KqWu7XHdYKbXA/MwJXzsU7DXfjud36UBzkl0UZyf22oG+ua+aRfe8wk9f2tfrPaqbPRysbuWKBfmRTklEWDYlg42DfNPt8AU50djBdHMaDyDRaeOTywsBo2OaOcE4NjkzkaN1sXUYeyuM6bXwtWEmpBpv7OsO9yz3OwdrmP/9V/jNGz0bxk80dnCsvp0PzJkQKctPSyAn2cnWY40xydgTR+vaCIQUM3JPyv7B+ROZmOoC4IaVkyN/i0WIye5U0+KlttXLgoLUU44tn5LB5qMNPU4PevxBPvyb97jwvrfp8PWsXN4/ZPzWzp15ckp3aVE6dquw9tDg7B7hUdnUKMVy3swcirMSAfjaJTMBIsr2uFYsGs3ACU/pdO1AwZgO683O8r+vHcAfVPz+ncPUt/W8cHBDaWfngDDLizIob/LE9MbcE4dqWlGKTm+iAHddNos/3rSUP9x0cglQUaY75hHL3opmpmQmdhsKZUVxJhuO1PXYkf78lQO0egPc/+ahHtdirDcVdngEBIayXVSYxpZjg3s7P1BldKLRbZLktPH8F8/m6f9YyRULDedEu9VCXmpCTNM+e03b1KyokWGY5VMyaO1levCZLSfYW9FMWUMHT2/qeR1Q2JV5ZpRCdDtsLJyUxtpDtX3K2BthxRKe/gPD+eAfd6zir7et4BLTBpfutpPktOkRi0YzGPZWNpOT7CQzyXnKsbCdZU83HYbHH2THiSYumzsBf1Dxf72swN5U2kCC3fDGiSYe8/OHak7tRAFsVgsXzMrtpBgmZyZS3tgRkwfT3oqWTtNr0ZxZnEGzJ8C+ylPbpabFy/bjjVx0Ri4d/iD/3N694Xn9YcNhYlYXhb6oMJ2jde3UtcZmUO+Og9UtiMDU7M5tkpXkZHkX5V6QnhCTYt9n/ga6ygt9P8ftxxvJSHQwZ2IKz2zp/ncSdmXuOtUGhuLaXd48KLfjkupWEuxW8tMSOpUnu+ycWZzZaSRdkJ6gRywazWA4UNXS7WgFYMWUnu0sh2vaUAo+OD+PGblJvFPS8xvlhiP1LCpMw27t/C8yc0IyyS7boOwsh6pbsQgUZbn7PLco001I9W2YbfH4OVbfzhl53bfLSTvLqXKH39pvObuIgvQE3tpf3W0d647Usawoo5PDBBgGfIBtxxt7lbE3Dla3UpjhjinI4qQMd0xv5/sqW8hLdZHmdpxybGJaAgXpCT0qlv1VLczITeLyeXlsL2vqVmkeqmmlusXLqmlZpxybl59GIKTYF6NHX3eU1LRSnJ14Snt3R2GGm+ODGEXHG61YNGOKUEhxqLrtlLf9MDkpYTvLqR3GwWrjn3x6TjLLijLY0sMce7PHz97K5shbbTRWi7B0cvogRyxtFGa4cdr67kQnZxrz6cf6sLOEXZJ7GrFMTEugMMMdmc6KJuw+PSM3mZXFmaw/Un+KIb+yycPRunZWFJ/aJvPyU7FaZFB2lpKq1k6G+94ozHBT1eztczSwt6K529FKmOVFGWwsrT9lTUwopDhQ1cKsCSmR9S/d/Z7C9pVVU7tRLKZdZ+cgFo8eqm7t8XfelUJT2Y6WVPNasWjGFBXNHjr8wV7/4VYUZ7LxSP0pdpaS6lasFqEoy93rHPvmow0oxSlTMGGWFmVwqKaNpo6BxYU6VNN6ypRPT4TdZPuys4T/ju7sCWFWFGewofRUpVFS3Uq6205mooOVUzNp6vCf8qYdjmMWdrmOJsFh5Yy85AHbWfzBEIdrW5mW07MSiCYW91pfIMShmtZe22P5lAzq2nwcqunctmUNHbT7gsyckMy8/FSSnDbe78Ze8l5JLflpCUzKSDjl2MRUF5mJjgGvlWnzBjjR2NHJvtIbkzLcePwhagYxHRlPtGLRjCkinjK9/MOFYyp1tbMcrGplcqYxUggrjfXdjDw2HqnHapGIK21Xwp5Lh2v6v1AyGFIcrm3r5OnTGxmJDpKdtj49w/ZUtJDiskW8qLrjzCmZNLb72V/VWWmUVLcwPScZEYm4EXedSlx3uI5kl63HEdGiSensKGsa0Bvz0bp2/EHFjNxYO1GjI+/NpnCophV/UPU6Ygk7ZnSd1gy3z4zcZGxWC8unZJyysj0YUqw9VMeqaafaV8Cwe8zJTx3wmqrDprLrz4gFRo9nmFYsmjFF2CDb27RJT3aWg9UtkevyUo059u5cQjeW1jN3YkqPiaamZhvTU7Eu0oumvLEDXyAUqaMvRITJWX17hu0pb+KMvJRek1h1t85HKWUsTDQ79XxzyqxrR7r+cD3LizKw9jDfP3NCMq3eABVN/U9dUBI1RRkLk2JYt7HdtPfMyz/V1ThMcVYiWUmOU6Y191d29jo8a2omh2vaOgV63FPeTLMn0K19Jcz0nCQO17YOKJJySY3RJrEqlnCbxOqaPtRoxaLpRAz5WM4TkaaonCzfjfXaeLCxtIEpWYndeoSF6c7O4guEKK1r79R5fXBeHq/vq+oUMqW21cu2443dTvmEKcxwY7fKKVMosVBS0/eIqyt9rWVp9QbYVd69TSiagnQ3BekJnRRLbauPpg5/J0V93sxs3t5fQ7UZRXj78UYO17axekbP4XfCHeBAlG3Y1XhqTmzKNjvJictu6VWxbD3WSJrbzpSsnusUEZYVZZyqWKpaKUhPIMlpvFicPysHgCej4n+9sKMcq0U6hYrpytTsJDz+EOUDiDxcUt2KzSIRG1tfhH+T8Qg3FA+0YtFEiCUfi8k74ZwsSql7+nntgAmFFJuPGqFc+qKrneVoXRvBkGJ61HTL586dSpLDxs9ePrlY8oG3DhFScM3SSafUGcZmtVCUmTigTvSQeU1xfxRLhpvj9e09rs0JL/Q7sxvDeleM9Swn7SwHuxkt3LJqCoFQiD++VwrAH949QrLTxlWLuw10bV6fZNbX/zY5WN3KpIyEmFMRiwhFmYkRt+3u2HKsgUWT0vpMQ7ysKOOUQJ/7Kzsb/admJ/GBObk88r6RP6fDF+Spjcf5wJxcspN7fsEZjLItqTambcOr+fvCYbMwNTspMqIfabRi0UTT33ws8bo2Jg7XttLQ7u/zzRxOtbMc7MY2k57o4PPnT+W1vdWsPVRHdYuHv6w7ypUL8/ucgpiWkzQgG8uhmjbS3XYyEk91ge2JosxEAiHVo7F63eE6bBZhSQwK98wpGTS0+zlgKpRwpxetcIuyErl8Xh6PrzvK/soW/rWzgmuXTyLZZe+x3swkJxmJjsi0Vn84WNUS8zRYmDPyUnqMT1bb6qWkpjXiBt0bYVtbOJqCLxDicE1bpwgAALefP40WT4DH1h3lma1lNHX4+fSKol7rDk93DmRke7AfHmFhZk1Ijjlg6VCjFYsmmljzsawUke0iskZE5vTz2gGHzd9wxPA66roavju62lkOVrV2uwDvllVTyE9L4Mt/3crn/7KFQEjxxQum9Vn/1Owkjta34wv0L6pvfzzCwoQDVO7sJt+5LxDi2S0nWFGcGdMbf3iKb705Tbi/soVkl42cLm/enzt3Ki3eAB/4338DcONZRX3WPS07qd9v54Gg0ZHH6mocZtaEZCqbPd2mXX5i/TGUgsvmTejmys6ckZdCissWCep4qKaVQEidsk5qfkEaq2dk89OX9vNfz+5iwaS0bl2vo8lMcpLutve7TXyBEEfr2vuvWPJSKG/yDElmz/6iFYsmmljysWwBJiulFgC/Bp7rx7VG4QDD5m8qrScrydEpUm1PhO0sbx8wFNfu8iaKMhNPWYDnslv59ScXEVLGlNKnziykqJd5+TDTcpIIhhRHYwy3EubwABTLjNxkHDZLtwm1ntt2gspmD59dXRxTXZMy3OSnJfCuuTh0V3kzcyaeavSfm5/KB+flAXD14nwK0vtu82m5SRysbu2XZ9ix+nZ8wRDTc/s3Ygm7EXf1uvIGgjy69ijnzsiOyX3ZahE+vnQSL+6soKyhPVLf7G683/7r8jNwm7+fL180vc9pNjBeQHqbsuuO8LRtfxVL2FFh87H4RG0eDFqxaKLpMx+LUqpZKdVq7r8I2EUkK5ZrB4NSig2l9SwryojpHxrg6sUFvFdSx+ajDewoa2J+N8EIwVg5/tKXzuHRW5bzvQ/P6facrkztZ/h2MHLE17b6YjZSh3HYLCyclBbJDhkmnABrdl4Kq6f3bETuyuXzJvDGvmoO1bSyt6K5R8+p/712IY/espwfXjkvpnqnZSfR2O6nrpcYbF0JT1H2d8SyqDANq0VOWV/yz+0V1LZ6+cw5U2Ku65azpyDAH98tZUdZI4kOa7c2sJkTklnzpXNY86VzOH9mTkx1T81OitjVYuVkjLD+KdulRUaE7Df2dR85YTjRikUTTZ/5WERkgpg9u4gsx/gN1cVy7WB4csNxyho6OG9m7COcm1cVkZXk5LqH1lHZ7GHRpLQez81McrJ6RnZM4TMAiiPz57F3GodqTcN9Vv86UYBLZueyr7Kl0wjptb1VHKpp4z/OLY5Z2QJ89pxirBbhwvvexhcIsXBS97YIu9XC6hnZMRuQw3aag1Wxt8nBqv651YZJcdlZNCktMiIF4+XjD+8eYWZuMmf34gbclYlpCXx4wUT++N4RHl17lJVTs3p0q56cmdjjWp7umJaTRF2bj4Z+KNuTUY379wLitFlZNS2LN/fVdBo1Hq9vj3j4DRdasWgixJiP5WPALjPvyq+Aa5VBt9fGQ64dZY18+9mdFGcncuWinj2TuuJ22Pj25bPwBUNkJjr4yMLYr+2LRKexGLE/I5ZD3YRBj5VL505AxFCwYHSiD759iEkZCZEpq1jJSXHxtYuNRF2z81L4wJzcfsvTHWEDfH8M+AerW8lPSyDRGZtHWDSXzp3ArhPNkRhlaw/XsbeimVvOLuqXogX44gXTCOuS28+f2m9ZeiKsHPrzAlJSY7RJrF5y0XxwXh4nGjt4btvJVNT/78W9XP6rd/ttDxwM/ZdcM64xp7de7FIWnYvlN8BvYr02HszLT+XHV83jwwsmxhRfK5qrFhdQmOFmSlZivzyxYmFqTlK/PH4O1bRhtwqT0k8NAdIXBeluPjR/Io+uLeW21cWUVLey5Vgj91wxB5u1/++H/3HuVJZNyWBqVtKAru+O3BQnSU5bv5TtwarWTh5p/eETyybxq9cP8uBbh3jw00v447tHyEx0RELs94fi7CTe/eYFNLT7mDOx50WV/SU8nXWoppWlMXgzgjFi6e8ILsxHFkzkkfdL+dG/9nHBrFyqmj2s2VXJHedPi3nkGQ/0iEUz6hERrlteGFmw1l+WFmX0uqByoIQNs7GurD5U00pRZuKAO/IvXjCNDn+QP7x7mAffPkRGoiOSDncgLC5MJ9XdswtxfxERpuUkxbyWJRhSHKqJPfhkV5Jddm5YWcTLeyp5ZXclr+2t5voVk3HZ+/fyEWZiWkJclQpAfnoCDpslZmUbDClKqgfeJhaL8MMr5lLX5uV/Xj3Ab94owe2wcsvZsduc4oFWLBrNAJmWk0S7L0hljPPXA3E1jmZGbjKXz83j/jcP8ca+am46qyimMPPDyfR+KJbj9e14A/33CIvmplVFuGxWbntsM06bhRvNTJOjBatFKM5KjHlke6Khw2yTgf9O5hWk8qkzJ/On90t5fns5n14xOe6j9b7QikWjGSD98QzzB0Mcq2uPGP0Hylcunk6iw0pOsjOSrnc0MS0niZoWb0xrKQ5UhVf9D7wTzUpyRmwi1y0vHJKR6WAxpkxjU7bhSAgDnQoL8/VLZpKV5CDdbY/ZFT2eaBuLRjNAog2zvcXRAjhSa+R0H2yHMS0nmbe/cT5WkW4TWI004TftkpoWlkzu3aaw60QTFuk+xXR/uP38aXxkQX634etHA9Oyk1izswKPP9jnNN1AXY27kuq28687z8FmkRFRtnrEotEMkOwkJymu2IzV28wkWPML0gZ936wkJ+nDPLURK2HPsFhcjrceb2TWhJ6jSMeKiFCY6e63J9hwMTUniZDqO6cOGF5yOcnOuNi+clNcIzaC04pFoxkgIhLzNMfW442kuGwUx7CqfyyTn5aAy963sToUUmw71sjiyWnDI9gI0p80C3vKmwc9ghsNaMWi0QwCIz5W32+iW481sGBSWswLMMcqFoswNbtvA35JTSst3gCLelicOZ4ozkpCBA718Ttp9vjZV9kcU/DM0Y5WLJpOxJCP5XoR2WF+3heRBVHHSkVkp5mnZdPwSj4yzMpLobbVS2UvCa7avAEOVLX0uvJ/PDE9p+9glFvNNMY9ZekcTyQ4rBSkJ0ScFXpi67FGQoqYonePdrRi0USIMafKEeBcpdR84AfAQ12On2/maVk65AKPAsKh6jcf7Tnf+46yJkIKFo2DN9FYmD0xhRONHb2GEdl6rJHUhN4TcY0nlhSms/5Ifa8BOt8vqcVu7Tkl9lhCKxZNNH3mVFFKva+UCvei6zCCTZ62zJmYgstuYdPRniPKhkOOLDhNRizhrIrvd5P2OczWY40sKuw7Edd4YUVxJrWt3l7Xs7xbUsviwvQBhbcZbWjFookm5pwqJrcCa6K+K+AVEdksIrf1dNFA87GMRuxWC4sL01nbSye67XgDRZnuYV+kNlLMzkshzW3nvZLabo+3eIxEY6eDfSVMOA9OdFroaJo6/OypaO41JfZYQisWTTQx51QRkfMxFMs3o4pXKaUWY0yl3S4iq7u7dqD5WEYrq6Zlsa+yhdpW7ynHlFJsPdbIwtNktAKGAX9lcSbvldR2O/Wzo6wJpU4P+0qYyZluJqS4WNuDYtlUWo9SxJReeiygFYsmmphyqojIfOBh4AqlVOQ/RSlVbm6rgWcxptbGPWdNNd4yu5v6qWjyUN3iPW3sK2HOnp5FeZOnWyN+2HB/ukwNguGavqI4g/WH67pVthuO1OMwR7/jAa1YNNHEko+lEHgG+LRS6kBUeaKIJIf3gUuAXcMm+QgyLz+VZJeNdw6cOq231VwYeTqNWIBIIqw395+adGrLsUam5ySRmhC/AJhjgZVTM6lt9bG/G++wdUfqWTApdcABNEcbWrFoIsSYj+W7QCbw2y5uxbnAu2aelg3Av5RSLw3znzAi2KwWPjgvj+e2neB4fXunY9uON+CwWfqVHGo8MDEtgdl5KTy3tbzTG7oxNdhwWk2DhblgVi5Om4U/vnukU3mrN8CuE02cOWV82FdAKxZNF5RSLyqlZiilpiqlfmSWPRjOyaKU+oxSKt10KY64FZueZAvMz5zwtacLX75oBiLC/W+WRMqUUrxzsJb5+anDmgtjtHDTqiL2VDTzVtRIbkdZEw3t/oib9ulEdrKT65YX8syWzi8g7x6sIRhS48ZwD1qxaDRxYUKqi08uL+Tvm8sincbW443sq2zho4vjl7lyLPHRRfnkpyVw/xslkVHLn9eW4nZYuayfWS/HC58/byoWi/DrNw5Gyv70fin5aQmsGCeGe9CKRaOJG58/bypWi3Dvmn0opfjJmn2kuGx8ZMHEkRZtRLBbLdy2uphNRxt4t6SWkuoWXthewdWLC0hxnV72lTC5KS6uP7OQ/9tygsM1raw/XMe6w/XceNbkuGXyHA1IbytBNZqhZunSpWrTpvET/eXXrx/kvlcPMCkjgeP1HXz14hnceeH0kRZrxPD4g5z/87do9QTwh0K4HTZe+vI55CS7Rlq0EaOmxct5P3uTQEihFExMc/HPL55N8ihQtiKyOR5RM8aPitRoRgFfOH8aF52Rw/H6Dj68YCJ3nD9tpEUaUVx2K4/deiY2q+ANhPj5NfNPa6UChq3lvo8vwB8MkeSy8cjNy0eFUoknesSiGVHG24gFIBAMseVYI0smp2Md59GMY6Wq2UOrNzCo1MzjjcM1raS5HaMqIkO8RixjPyiNRjPKsFktLJ8yfgyx8SA3xUXuSAsxyigex0pWj1g0I4qI1ABHYzw9C+g+ANXIoOXpHS1P74xGedKBtUqpSwdTkVYsmjGDiGwaTeH4tTy9o+XpnfEsjzbeazQajSauaMWi0Wg0mriiFYtmLNE1W+VIo+XpHS1P74xbebSNRaPRaDRxRY9YNBqNRhNXtGLRaDQaTVzRikUz6hGRS0Vkv4iUiMhdw3jfUhHZGZ13RkQyRORVETlobtOjzv+WKeN+EflAHO7/RxGpFpFdUWX9vr+ILDH/jhIR+ZWIDCgcQA/y3C0iJ8w22iYilw+jPJNE5E0R2Ssiu0XkS2b5iLRRL/KMSBuJiEtENojIdlOe7w9b+yil9Ed/Ru0HsAKHgGLAAWwHZg/TvUuBrC5lPwXuMvfvAn5i7s82ZXMCU0yZrYO8/2pgMbBrMPfHSLy2EhBgDXBZHOW5G/h6N+cOhzx5wGJzPxk4YN53RNqoF3lGpI3Ma5PMfTuwHlgxHO2jRyya0c5yoEQZicR8wFPAFSMozxXAn839PwNXRpU/pZTyKqWOACUYsg8YpdS/gfrB3F9E8oAUpdRaZfQQj0ZdEw95emI45KlQSm0x91swsp7mM0Jt1Is8PTHU8iilVKv51W5+FMPQPlqxaEY7+cDxqO9l9P7PGk8U8IqIbBaR28yyXKVUBRgdCZAzzHL29/755v5QynWHiOwwp8rC0yrDKo+IFAGLMN7KR7yNusgDI9RGImIVkW1ANfCqUmpY2kcrFs1op7u53OHykV+llFoMXAbcLiKrezl3JOXs7f5DLdcDwFRgIVAB3Dfc8ohIEvB/wJeVUs29nTocMnUjz4i1kVIqqJRaCBRgjD7m9iZ6vOTRikUz2ikDJkV9LwDKh+PGSqlyc1sNPIsxtVVlTg1gbquHWc7+3r/M3B8SuZRSVWbnFQJ+z8npv2GRR0TsGJ3440qpZ8ziEWuj7uQZ6TYyZWgE3gIuZRjaRysWzWhnIzBdRKaIiAO4Fnh+qG8qIokikhzeBy4Bdpn3vtE87UbgH+b+88C1IuIUkSnAdAyDZ7zp1/3NqY4WEVlhevLcEHXNoAl3UCYfxWijYZHHvP4PwF6l1C+iDo1IG/Ukz0i1kYhki0iauZ8AXATsYzjap7+eBvqjP8P9AS7H8LA5BPzXMN2zGMNDZjuwO3xfIBN4HThobjOirvkvU8b9DNDTqYsMT2JMnfgx3hpvHcj9gaUYndkh4DeYETfiJM9jwE5gh9kx5Q2jPGdjTMnsALaZn8tHqo16kWdE2giYD2w177sL+O5Af8P9lUeHdNFoNBpNXNFTYRqNRqOJK1qxaDQajSauaMWi0Wg0mriiFYtGo9Fo4opWLBqNRqOJK1qxaDTjDBEpEJF/mNFrD4vIb0TEOcwy3CMiF/XzmlIRyRoqmTTDh1YsGs04wlzA9gzwnFJqOsYitwSMiLbxqN8ay3lKqe8qpV6Lxz01Yw+tWDSa8cUFgEcp9QgYsaKArwA3iEiSiNwkIr8JnywiL4jIeeb+JSKyVkS2iMjfzJhX4ZHEd0XkXeAuEdkSdf10EdncVQgR+ZOIfCzq+u+b9e4UkVlmeaaIvCIiW0Xkd0TFpBKRT4mRS2SbiPzODKa4zAzk6DIjI+zuI/aVZoTQikWjGV/MATp19MoIhFgKTOvpInMK6jvARcoIvLkJ+GrUKR6l1NlKqR8BTSKy0Cy/GfhTDHLVmvU+AHzdLPse8K5SahHGivRCU5YzgE9gBAFdCASB65VSG83zfogxAvuLUmoXmlGHbaQF0Gg0cUXoPvJsXxkIV2AkenrPmE3DAayNOv7XqP2HgZtF5KsYCiCWvDPhAJGbgavM/dXhfaXUv0SkwSy/EFgCbDRlSeBkoMR7MOLHeYA7Y7ivZgTQikWjGV/sBq6OLhCRFCAXI/7TXDrPVLjCp2Hk67iuh3rbovb/D2O08QawWSlVF4NcXnMbpHO/05MS/LNS6lvdHMsAkjCSVrm6yKUZJeipMI1mfPE64BaRGyBibL8P+I1SqgNjSmyhiFhEZBInRxvrgFUiMs28zi0iM7q7gVLKA7yMMa31yCBk/TdwvXm/y4BwAqzXgY+JSI55LENEJpvHHgL+G3gc+Mkg7q0ZQrRi0WjGEcqIKvtRjI75IFAHhEzbCMB7wBGMaLs/B8KpdGuAm4AnRWQHhqKZ1cutHsfMsDkIcb8PrDadAS4Bjpmy7MGw97xiyvIqkGcqy4BS6gngXmCZiFwwiPtrhggd3VijGceIyFkY4e6vUkqd4r01iHq/DqQqpf47XnVqxg9asWg0mn4hIs9ipNq9QClVO9LyaEYfWrFoNBqNJq5oG4tGo9Fo4opWLBqNRqOJK1qxaDQajSauaMWi0Wg0mriiFYtGo9Fo4sr/B8e7Mw6lePyUAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "trial_idx =17\n",
+ "t_ref = res['trial_data']['ref_interp'][trial_idx] #trial ref and force values, in same timespace\n",
+ "t_for = res['trial_data']['for_interp'][trial_idx]\n",
+ "\n",
+ "tw = r_dtw.dtw(t_ref,t_for, keep_internals=True, step_pattern='mori2006') #we treat the reference as the query and the force as the target, such that we can apply the warp afterwards\n",
+ "warp_for2ref = warp2(tw,index_reference=True) #then we compute the warp for the \"reference\" (which is actually the for), so that we can apply the warp to the force to get it into the reference space\n",
+ "\n",
+ "# tw = dtw(t_for, t_ref, keep_internals=True,step_pattern=rabinerJuangStepPattern(6, \"c\"))\n",
+ "# tw = dtw(t_for, t_ref, keep_internals=True, step_pattern='asymmetric')\n",
+ "tw.plot(type=\"twoway\",offset=1)\n",
+ "tw.plot(type=\"threeway\")\n",
+ " # plt.plot(t_ref)\n",
+ " # plt.plot(t_for)\n",
+ "print(\"distance: {:.2f}\".format(tw.distance))\n",
+ "# rmse = np.sqrt(np.mean((t_ref-t_for[warp_for2ref])**2))\n",
+ "# print(\"rmse: {.2f}\".format(rmse))\n",
+ "plt.figure()\n",
+ "plt.plot(t_ref,'k',linewidth=2.,label='ref')\n",
+ "plt.plot(t_for,label='for')\n",
+ "plt.plot(t_for[warp_for2ref],label='warp')\n",
+ "plt.legend()\n",
+ "# plt.figure()\n",
+ "# plt.spy(tw.directionMatrix)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 107,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "337.6370805332661\n",
+ "(2880,)\n",
+ "(2880,)\n",
+ "493.159738538251\n",
+ "498.9801855360977\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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FEILS0lKKi4tZuXKlb05EYTf20erVbO3rY+kJJwDwpaQkMrZtoyWKpRvee+899u3bxxlnnAHAkiVLAH8hwoGGA4b4a2pq2FtVRXNODqSnk5KSwpw5c2h/7TWVPRtFeDwe1q1bxwSTdbtw4UIO6umh49VXozoWPXk1wR1yyCH8H/D2nDnw4otRcz1t2LCBjo4OFupkHSAvL4+PjV1atLB8+XJiYmI48sgjAXU+EhMTo0r8TU1N7Nmzh4ONmvizZs3inNRU7pk+feDkqsFi40b1aCw2TU1N7N6920tyAIsWLVLzJYrEv/2ll7gBOHzaNADOeOEFLgFWG0ZcNLB8+XKEEBx33HEAHHroocTExPDJJ59EbQzRxgFD/Nu2beNV4KN//cubCbho0SKWfvopfPe7UR1LZWUlHR0dzNHZh0VFLFq0iFYpWRvlpjBbt24lLS2NEoNQsrOzaZw0iaYNG5RkL0r9Trcb33uSqfPTvHnz2LJlS1Q+X2PlypXMnTuX9PR0ABITE5kxYwabo+heWLt2LQALjN1PbGwsCxcuJOaNN1QykxM45hior4cvfhGA9evXAzDfVJNn8eLFbNmyhQ5tDESB+D2rV3M7kGHkDMQlJ5MIrFq1yvHP1ti6dSsTJ04kNTUVgNTUVObOnRvVMUQbBwzx7zCUKlNMWYkHHXQQrV1d9EU5oKpJZJlWrVRXM3/+fC4A4qKsG9+2bRvTpk1DmFLvry4sJGPbNvUkSioOTfxFOjM1N5epU6Z4j0cL69evZ968eX7Hpk6dys6dO6M2hjVr1gB4LX4+/pgn167l2i1bkL/6lTMfKoTqcGUE9tcZyp6DDjrI+xb9+y4p4aKLVCcuh9FYXq5+MUg3JjmZjKSkqC7EW7ZsYfr06X7HTi0s5Oz334+q6i2aOGCIf/369VwcF8e0a67xKgXmzp1LD9Ab5YSQl156iWRzQ/W//Y2JEydyWkwMU954I2rjkFKyYsUKH8EY+MaGDZy9b596EqUsxVWrVjF58mTSTjtN3Uz19UybPp2amhpao9Tmr7W1lb179zJ37lzfwQcfZGlGBjt37oyalHHt2rUUFhZSVFSkDjQ1kd/SQruUeJzybd9wA/zmN96n69atIycnh2JTJvksY6f8SUyMSjYsLXVmLAb6+vpo2LtXPTGIn4QE8tPToxb093g8bNiwIcgYuOW997iipYVWvTAdYDhgiH/79u0sys5W22Uj5fyggw6iB+iLsnZ+1apVHLp4sWosMXs2XHopsbGxpGVl4YlGGryBsrIy6uvr/fy4AIlS4k2KjxLxf/LJJ3zuc5/zOzbN8OvuiFJtlk2bNgH4iF9KuOIKvv+Pf9DZ2Ul1dXVUxrFmzRr/xbi9HYAaQBq/246nnvLq9wE+++wz5s+f77cTnDp1KhkZGVELapaXl5OglUO6JWliIvmZmaxduzYqUl9driLQ4u8ydj/vmdu4HkA4YIh/x44djMvMVAlbBvEXFRURl5wcdR3/xo0bWTxligqodXd7g2Xp2dnRqX9iQG+X58yZ43c8rrcX7x4oCsTf09NDWVkZM2bMgO99T7kdFixghhF3iJa7RxP/bB10N4ilz9idRcPdI6Vk69atvjGAl/hrgbjubvuvyb59sGsXTJzoPbR7926mTp3q97bY2FhmzZpF1kcfKQvc4QBrWVkZGYAnLs7XQ+Oxx1h/ySV0dnZGRU65y0icmzx5su9gTw/ZxuK3w4iFHGg4IIhfSsnOnTspSEsLKuf6wowZfLe/xtI2o7GxkYaGBo6OiVHBNJM1m5adjfB46InSQlRWVgbARNMNj5SI/ft5JT6eP37xiypRx2FUVVUhpaS0tBR0MHfdOiYbroRoWfxbt24lNjbWFwdqbYXiYvoMiW00xlFfX09HRweTJk3yHTSIv03XTrKb8DSBz5wJKN16dXU14y367k6aNIm6mhrlLnV4nu7du5efAdtef91X/nnePNKNoHc0cissiX/rVu+vVa6rZ+SipqaG9vZ2clNTg4g/afp03tYVMqOAcmOiFGVmqgN33ul9LS0ri3jTe5xGhZF5afbj6h3HvtxcXuvri0rdc/19x48fD42N3uPpyckUFBREzeLfunUrU6ZMIV5XnzzpJKisJKG8nBiiY/Hv3r0bwJ/4S0vhtNP476RJXHTCCd4EK9ug/eWGXLGiogIpJRMsSkBPnDiRqtpa9cRhV0tZWRn7gWKzYfbSS8wxiDeaxO9nHN11l/fXd4chizgaOCCIX1tqiZMmQUAg8/DERE7cuRMZJV+2Jrk8Haw6+2zvazU33kgWvps/GmMpKCggwRxo7umBSy+lcto0Zq1Zo9wAURgHoCx+XQESoK+PadOmRY34d+zY4e/e0DrtU09lwvjxUbH49+zZAwQQ/+mnwwsv0DdlClvq6uz/0PR0OPZYb46A3gmGsvi7dG2rKBD/NcnJpP/rX76Dd97JhMceA6JH/CUlJSSZK9UuWgQLFnDdeedF7V6NNg4o4vf86EcQkCB1WFMTd/X0UB+l9GtNcrl6IqWkeF+bZLgYojWZKioqvPp9L+6+Gx5+mJPb2ri9rAwZhd2HH/GbA+29vVEl/t27d/tv6R94QD1+97tMipKkU197PwvTQElJCd/cvFnV5bcTl1wCb7zhdacMRPxeuneY+Pfu3cslMTHwyCO+gwkJxAMxMTHeHauT2LFjh58EHFB9f59+mv9bu5bxFRWqh8UBhgOC+PV2zc+KMpBhNJYui5JOu7y8nJiYGNK1O8HkShm/di33Eb1gZnl5uSJbM26+GYBOQ77WHIUErvLyclJTU8nMzIQjj1Quh+OOg7g4pk2bRnl5OZ0OS25bWlpoamryJ/4rroAPP4T2duaXlkbF4t+9ezeZmZlkZWX5Dv7whzBrFiUlJRzX2UmfnZJfKYOys7du3UpMTIylq2fSpElUANuOPdZ+l1MAysrKKAb/OFNiIqK7m6KiIsctfiklGzZsCBI/sHcvNDQwc+tWxqMWqAMNYRG/EOIkIcQWIcR2IcQPLF7PFEK8IIRYK4TYIIS4zP6hhkZ5eTmFhYUkfec7arU2IcvIFC3XZW+jMJZx48YRe8458OSTfs1O4tet4+vApihplC2J30CecbzMcD1EYxxCCHjwQXj9dfVTWOiVdDptbVsaB7/9Lfz1r3DGGSxMSfHGipzE7t27gw2UhgbYt4+SkhJqgW7DIrcFjY1qDt5zj/fQ9u3bmThxIimm3ajGxIkT2QY8efzx3mCwUyjbu5fCri4wn4+EBNiwgeLiYseJv7m5maamJn8pp8cDkyeDkWgZS/R26NHEgMQvhIgF/gycDMwBLhJCBCyRfAPYKKVcABwN/E4IkUCU4CW4zz4L6tepib8yCgQHyoopLS2FGTNUb9kY0ymOU73tK6NgQXR2dtLY2Bjs6snIgG99iyIj4FsehbH0twBFS8uvb14/i/+Pf1SFy4CJeXmA8wvQnj17gom/owNSUigpKaEV6LZTjKBjBqYdhuXiYyA1NZW8vDx279rlaNZqR0cH6Y2NJPT1+RN/QwN4PFEhfp234Sd+2LNHkb8xH+LwGQ0HEsKx+JcA26WUO6WU3cBjwJkB75FAulDZIGlAIxC17idesu3qClKppBjqmqoobde8JLdpk7JqzTDcP9VR8Ktr/2gQ4W7dCrfcQqGxjY868U+YoOrGTJ4M27Z5g61Ou78s1TSNjWD4uUuMeeIk8UsprUm3owOSkykpKaEN8NgZcNelD0w1kvojfoATc3L4y1//Cg42RCkrK8MbZjcvxi++CG1tlJSUOO7j13kChYWFvoNf/7p6NPT7ibGxUS3nES2EQ/wlgHnvWW4cM+NPwGygEvgM+LaUMkhGI4S4SgixUgixss5G9UJ5ebkKVHV2BvWRFV/6EidPncpGLVFzEFJK3yL017/6KXoAr8XfWFfneMBI3zRBFn9hIeTmknDccZxWUMAnDpe/7evro7KyUp2T3l4oK1OEu3s3dHWRk5NDdna248RfUVFBUlISubm56kB3t1IYGcRfZNSlcXLn0djYSFtbW3Bgt7PTa/HXgC+r2g4YSWsYC+z+/fuprKzsl/jzNBE6GNwtKyvjDeCdt98GoxcAoBK5UlMpLi6moaHB0ftEE3+ROcZgxMC48kqYNo3UwkK26bpWBxDCIX5hcSxwD3gisAYoBg4G/iSEyAj6Iynvl1IuklIuyjdZIENBa2srLS0tilg6O4N16VlZyGnT2B0FK3vfvn20t7ersXR3e+uee5GURE9iInE4r+X3U9JoVFWpGvzr10N2Nu1z5rDRYRdYTU0NfX19ahz6Jtbp+QaxREPZU1lZSXFxsa9EgXanGOcnTQgyMzMdte4sdx2gdkCnnkpOTg7XJiZy5znn2Pehzz0HxcVgKFeqqqoAC4PAhHxNhA4Svw6YBimLXn8drruOEmPx0eN1AtrV42fxL1umXFyXXALbtrHz0EPHLPGXA+arU4qy7M24DHja6AW8HdgFzCIK8EsOWrgQzAW4ADZu5GtNTbREIUDjR7ZWxH/NNbzz4os04ZPUOQVLi//mm+GFF1RLvfJyrvB4qHc40Gwp5dQ5DoZePJrE74Um/pkz4c03EWeeyeTJkx315/rNVTO+/3245RaEEBQXF9vr4vjjH+Gmm7xPLa3cABQYbsD9DiqtysrK+ACY8OCD/i+sXAl33UWJkU3tpJ+/pqaGuLg4srOzfQc//VTJS434xuTJk8dmcBdYAUwXQkw2ArYXAoGdTfYCxwEIIQqBmUBUHGN+xPLEE/CDANHRp59yziefQH2945LBAYkfXyDJ6YJg5eXlZGRkeOvO++ELX4CNG7n43XfJ27fP0fNiSfwBFv/UqVPZs2cPvb3OhYUqKir8iX/WLHWNvvQlZXGPG0dJSUlULMxxgTJJUxD1mMxMvvPKKz4XzVCxeDF84xtBYwiH+JucSCbT49i1i6VAXGAHOMMdWmKMz0k/f3V1NYWFhcSYBRhPPAGXXabKaBxzDMvq6mhtbVXd8w4gDEj8Uspe4FrgVWAT8B8p5QYhxNVCiKuNt/0cOFwI8RnwBnCjlLLeqUGb0V8yCuAtkBaL81b2gMT/3ntMveUW8nF2CwvqhgkK7Pb1qeBqTIxXbRQDjhbD8jsn8fFwwQVw1FGqIYgRUB0/fjwej8exxVBKSWVlZbB7Iz5e/Tz5JKxYQWFhoaMLclVVFUIICgLbb5aWwnXXAVCUl8fi5uYgddqgsHMnPPYYmOI44RB/zvTp/BYo1zszB1Bg9CRgxgz/FwziH6fVeA5b/H5uHlDuyKQktRi//TYlhjFiZ0xyJCAsHb+U8mUp5Qwp5VQp5W3GsfuklPcZv1dKKU+QUs6XUs6TUj7S/3+0D5pYiouKYNq04MbqxkSKxZcu7/hYiovV9vrvf/d/w549JD71FPnx8VGx+IOITk9qiCrxJyYmqqBqQYEiou98B555xtspTS9QTsU9dOzFz+LX/WebmlTux8MPU1RURG1tLR6HyntUVVWRl5fnqxWk0dTkNRISDF+8tMNIefRRtaMxFVvT8y5o8TEhf+5cbgC2WOj87cKRemELIYDITk8nISHBUeKvrq4OXgC7ulSA2RhHuhEzHJPEP5Kh69EkejzKSjLXggGvxR8NPa5OJEtISIB58+CII/zfoMtF5+U5TvyWFv8558C116rfTcTv5Fj8krdCQI/TqR2ZJg8/4n//fWUkxMSomEN7O0VFRao5iEPZzJZE09OjRAkZSguRMX06vUCXHTGP11+HQw7xatJBLfKWi48JRQUFpAN1DrlZZEsLX2hrY09hYbAYIzYWYmIQfX32xzsCYGnxt7erMisG8acZ46uNgiowmhj1xO/dwms/tdVEQq3cTnf18dOrP/88BDYSNyZTYW6uo2Tb29tLVVVVsMV/3nnwzW+q36No8XvPyYcfKoL77W+VrvzNNwHnLX7tVvMj3T171A4kM1PFHAziB+cWwqqqqmD/vu4+ZsRiisePpxIbiL+mBj74AI4/3u+w9mv3h8y2NvYBJcb1sRtN3d2cCXx43nnBL159tXJJFhVRUlLimMXv8XioqakJXogbGyEnx8sbaUafAJf4RxiqqqrUxQtF/CecAFVVtEycGBUJpTfW8M1v+qXJAz7iz8lx1MdfU1ODx+MJtvjr6nxqlkWL6Fm3jo+JjsUPKGtKE119vTfYm52dTXJysmPXRy9sfqRbX++zhFNSoKPDSwJOXRtLi1+fD8PiLykp4SOgJTDoGSmeeUbtJr761YHHEABhfHarQyWJy6uqeB6I/fznLT7ctzN0Mnu3qamJ3t7e4EXwz3+Gf/9bGUaHHEKKkVzmunpGGKqrq9UNbfTZJdAvmZQERUXkFxdHxa/uJbm2tuBm1ampUFRErsOuHk2gQRb/2WfDueeq31NSiJ8/n+TcXMcsfo/H4+9yCqHqEUIwfvx4x4jfUq/d0KCaj4NywfX0eF934nxIKX1z1YykJGUkzJ8PqGt2AfCGOalpMNi6VZ3nWf6q6nCIX1u7bU4k93k8ZN56K/OxUDcBfPSRKp5XU+Mo8YcMco8fr9qlAqxeTdJ115GQkOBa/CMJfX191NTUqAmUmKjqmgdWHNy5E265hXlpaY5a2W1tbTQ3N/tIrrXVR3Aaxx8PVVX0zJtHfX29Y524QpZr6OryBXerq+EPf+DQ7GzHFqH6+nq6u7t949C7Mn1eTPJNJ/251dXVxMfH++u1Y2JUYhPAQw/BPfc4SvyNjY309PQEE01hoSqVvWgR4CPDIV+T3/1O7fBMFrSU0tq9EQgnif/dd5n47LMcRYgA865dqpBfc7OqXdTaSqveFdkIy3INoHbp77/vfSqEID8/37X4RxLq6+vp6+tTE3nSJOVXDwyo7t4NP/85M5OSqK6uRjpUeMqPbLu71TbbSkOPsjKklI5NppAWv3kx2rsXvvtdFhlVKZ0ch99iCKAJ2ET848aNc2wB0mTnF2B+802lMAJlFRuNxhMTEx2x7kJamD09fmWTk5KS+EFiIhf9+c9D+8C2Nq+YwHeojY6OjgF9/Jr4251o0mN013oZC9I1fTa9vd5gvBNWv+X1kFIpzl54QT3//OfhD3+goKDAtfhHEkImxJhh+NVzs7Pp7Oxkn0Mdp/zIViuLAi3+jRvhjDOYabilnCK68vJyEhISyDOpOQA1Lj0m4wbLycpydBxgIv4FC+Cii1T5gIsv9tudFRUVOTaOAQOaL70ETz2FEILCwkJHFsKQGbPPPKN2YRs3eg9NSElhwlDOxf79KmZgVjERnoYfgJQU3lq2jDfb2+3flW7YQE9sLFXx8WRkBFV18d6vGKoecIb4LS3+jg5ltBk9PPj0Uygrc4l/pMFvIr/6qmrosG6d/5sMgss1koWcsm79FqH0dFi1SiUrmdHSAi+8wDhDUeMU0Wm/epCE0hx3MMaQk5npuMXv3XksXKi05bNnwz//CZ/7nPe9RUVFtLe30xYox7UBQX5tKVUC2ZNPqud//jP8+teAcj84cT4s4wzga31p2h3GpKcTJ6W3P3LE0IqgAMMjbOJPSmLLhRfyETYHNVtb4f77WT9uHAWBOzANTfwOW/w1NTUkJCT4N8TR/aA18cfEgJSuq2ekwW/VbmlRErZANYTxPNuwLpy6gH5jiY+HQw/17ywE3q13tnGTO0X8lZWV1rugn/9cER54iT8rM5O2tjZHGpDU1NT4Z6q2toYs/OWkoibIr93RoYqX6YJs8fFet1NhYaEj1l1Ii18Tv8n6jde/D/aabNmiHv/zH8sxDOjqkZJJ8fGkY/McLSuD0lKeLCoKnUCWmKgktlI67uopLCz0X3ysiN/jcS3+kQa/iaxr34fQ8Wca1o9TF7C6upqEhATVXrCsDO67TwVQzdBZicZYnPRpW97c3/wmHH20+t0g/mwHd0J1dXXk5uYSqxfjhQvhy1+G8nLl3jBlNjsVWO3r66O2ttafcAO088TFebNbnXL16PnhZ2GCktcK4WedJ+gYyGCIv6/PV+cnoBxC2BZ/Tw8nXXkl12LjHH3zTTWuLVv4r8cTevE58URoboaFC0lLSyMpKcmxhdhSww8+4hfCS/wdHR2Od2eLJkY18dfW1pKUlERaWpqqfw/Bcs5DD4XWVhLPVL1jnLT4vRbE6tXwf/+nqmCaYRB/YmwsmZmZ0SX+nh7lR9YW5qxZUF5Ozxe+ADizCNXV1fnHGVpalDUXF6f80KagplPEX19fjyeQaALdKxYWv90iAL/5YcaePUpCaNqp9pWW8gbgGcwYHn0UfvQj9XuAuKCmpoaYmBhfT4JQMIyCWGy6HjU1aqc5YwbExFBbW9tvyQgNJxU1lnGfI45QogftgjzySJg2DV1C/kBy94xq4re8maws/rQ0b41xJ4nfa0HomyVwYqWkqHpCKSmOBTN7enpobGwMntTl5apk9TPPqOfx8VBSQoHRFMQJK7e+vh6/vgv79imXhi5eZ/JhO0X8li6WgKQps8VfUFBAb28vTXa2P6SfXdgZZ8D3vud3aN/SpRwPNAQ0FQoLejENjHUZY8jPz/ftwELBeN22ch5vvqnOeWUlUkpqa2tDW/ybN6vY2GefAThG/JYWf0KCWoQ1hzz/PHz7295F6kBy94xq4re0HAIt/upq+M53SNq0ibS0NMeI38+C0BMksNnMlCmwbRuceqpjxK+/X9CNpclOuxQaG+FnP6PEqEvjuMXf16fyCNLSLIk/Pz8fIYTtxG/p3tANtbXle8cd3vIRej7ZPU9CWrnnngvf+pbfoSGNQSfJWcR46urqwrK0EQKEICUhwZ55oYsjHnEEzc3NdHd3hx5HY6OKTRixHieI3+PxWC8+b74Jt90WFIfSxotL/CMEflbUWWfB174WpF2mqQnuvBO2bKGgoMBxVw+gklAKClSgKgScIv6QAbxAiWlTE9x6KzllZY4QLgRY/DqzOjXVkvjj4uLIdSCL2FJNs3ixCuzqnI9x48DY+eiFqr7e3qriQbsfUOqiTZv88hkAJre1sR3oeeWVyD9IE7/F3LMcQyjExpKRlmbPHC0rU7kbaWle8gxp8ZtUPYAjgdWGhgZf/o8Zr7yiBBB6R3TUUfDjHztmDAwnRjXx19bW+iby00/D/fcHv0lfxL4+x7aNHo+Huro632TetMmX9m1GQ4Nq+vH8844Rv1ZABKl6dLwhQM4ZKwR5DpSQ8Hg81NfX+yz+2Fi49VZFtvHxqhjXIYf4/Y0TgdWwApqvvaY6VeEc8dfV1QWTbnU1zJkTVNMpbdo01YjccHdEBE38Fm6i+vr6gf37GnfcwYbx4+2ZFzt2eBuqaxIPafGbErjAGYs/pLS2utpfibdjB1RXu66ekQSd+Trg1jUKxN/Y2EhfX59vLK++Cv/4R/Ab+/rg7behvJyioiJaW1ttVwqEbEyjS1Jr8tFdhzweioqKbCfc5uZm+oxzDigX3E9+AkuXKlfCvffCySf7/Y0TxF9TU0NKSooSAGg8+aTqQqaDvM8+Cz/9KeAjfjvnSXt7O52dncEJdTppa948v8NZ06aphuuDKWFx2GEqZqAtZxP8FuKBcN111M2caQ/x33KLN09CL6ghx2FK4AJF/B0dHXToHaMNCCmtraz0T3oz5JypqakkJye7Fv9IQGtrKz09Pb4JdMEF8JvfBL8xgPid1Gh7LYj09OCaQeCb1KaaLXYTXXl5ObGxscGT+oILVGDXaPRhJn4nkpaCbvD9+9WNpd07fX1+DUJA3eR2W9qWeu2331b1WHSHqdhY5ffHGeLX38nS4gcIKK2Rk5tLLRAzmL4Axx+vyl4HqIc8Hg+NjY3hE/+2bUxPT7eH+A8/XC20hEH8SUnqfBjuQCcUNSEt/spK/2thJHCBMy6n4cSoJf6gCbR8uQqcBkITv8fjtfjtlurpCTHR41Ha9CuuUG6dQOj4Q2+vY7Xfy8rKKC4uDlZuTJyoJHX6uIn4ndgJ6f/nJbvVq9VN9cYb6nleXpCaJS8vz/YmKJZB1a1b4aCD/M+FQfwpKSmkpKTYOg59LoLI7oMP1GMAASUlJdEYE0PcYMoid3T4tVrUaG5uxuPxhE/8ixdz5saN7BtqT+b2dqWOMea5Pq8hXU4zZyoFmlGd1InAatDc1Kip8bf4DR0/uMQ/YhBE/CGam1NaqlbtK64gPz+fnp4e2+v1aGt5zj/+AZdfrsjfqm2dhcXvBPFb9h9+/32vcgVQAc3mZrj0Ukcs7SArV7u0tJWdkBBUkiA3N9dbJ90uWKo32tv9yxmYiB/UnLLzfFgSjZTqeowbB4FJXcDytDQ2WRwfEDffrCSJAdDfJ2wff2wsKUaAeEhGwfbtcOaZ3oqX9fX1JCcnkxJmW0cnLP76+nri4uKCk+lqa+GXv/Q9P+44VV8K52Slw4VRS/xBN1NPjzXxm7a8Tkr1AGJOO00dkDI4nwCUxX/IIZCf7xjx+/UEMOOii+D6633PY2JUMpVRzK25udnWglxBVm4YxJ+Xl4eU0lYNvaXF39HhvzA7TPyWrh4hVBXIZ5+1/Ju/T5nCQ1bXcSD09QWXLSEMF0sg7CJ+XYLDWHwHjDPU1sIpp8D//gc4Q/xaZhyUTBcX55ufoMpDf+c7gGvxjxgEEX8oi7+9Ha68El5/3bEMvPr6ejKFIOXSS1Vw7eabrd8YF6dcHsbuIyYmxnbi91MXmRFICO3tcMMNsHy597w4YeV6b3KznBNCWvyAbW4WrbYKIv45c/wDqrfe6qvbg3MWv/dcaFfjtGmwZInl3+Tk5NCoSwhEAhuJP9kO4tcafkMu29DQ0P+uo7tbySr37gWcJX4/rF+vsu1377b8Gx0fdKqse7Rx4BD/QQdZB1R7euBvf4PPPnOU+LcDsb/4heor+4tfDPg3sbGx5Ofn21qUrKenh+bm5uBJ7fEoS+qEE3zH9u9XQcDVqx3bTmt/ORCcRxDC4td/aweampr81VYa//qX/5Y+PV3lXZjGYbfFHxcXp+o4Adx1lypfoJVWFrh+717+sWJF5B9mF/HHxJBsGFJDmhe7d6udruE7H9DiD9DxZ2RkEB8fb/vcDPLvf/aZqq9lVg8deSR84xuAsvi7u7sdaQozHBjVxJ+YmOiT6X30EVx7bfAbA1Q9+m/tREtNDXlShmy84ocjj1Q3PvYncWkLMejGqq9XN5JZ6RMQ3AX7rSq/m2vJEqW60mO76irl+zVBj9sui39AzbjG668ryaGB3Nxc2y1+r2vhjTeU+6C21tpQMZCSmEjWYFxvIYhfn9Owif+OO4gx+vUOycWxe7f6nsaYGhoa+h9DgI7fiXo9lha/rgBqDu7W1XkLtx1oWv5gse8oQUg/XSBMFoRTqdc52nKzaiwRiLVrvUWg7Cb+kOoRvX01ttuAJfE7QXZeLFjgDZQBXt+pGdoFYNc49PnwI/7eXlWz6IYblAsQ4J131A7gZz8D1PlraWmhp6eH+MBM8EGOIz8/X7n5jj9eHTRniFpApKeTIiVSyoHnuBlnnqm+XwDq6+tJTEwMO6jKl75EmpRDt7Z/+UtFoKZx9OvqCbD4wX6Zr2UyXVmZckPqXRn4qXrMxtG0adMG/+F33aUW5+uu892Dw4BRTfzei9fWptqkfe97quyvGSaLX7se7Lb4hbZQDz984DebCoIVFRWxYcMG28YRcju/ZImSyJlVDCaZq1Padb+ba+9edRNNmqSet7WpG8B0o9nt6rG0+OvrlZzTLFG0CO4C1sXuBgHvuXjoIXXguedACwFCIC4jgySgubGRrHCVOBDy/2oXS9iLyPr1iOTkoVvbkyd7s3Z7e3utXZFmxMeryrGmuWqn600X4Asi/qefVoaR+fwE6PhhkEajlMqoWLFCdXvLz4fvfnewX8EWjGpXj/fi7d+v2qRZBcNiY5ULxrDcBjWR6+rUohLiosdqvXU422hTCWBtydgVMLJUj5SXqwzVkhJ/xYK2Nvr6yM3NRQjhrKvnxhv9YwxnnAGnn+73NykpKSQlJdnm6tEyW79xrFypHs1kqs+FcR3sXoC8u59f/Urd/GecMaC1p2vyNxldzMJGfb1PSeN3OIKsXYBzzoGbbx4a6X7lK/DDH3qfNjU1IaXs3+JPS1MlTww3E9hL/I2NjUgp/c+FlCrmcvDB/m8O0PHDIIn/zTdV1vpLL6nnw0z6MMotfu+WSwcJrVQ9sbG+1HwYXKG2Z56B3//e2zrODCklb7a38+Kxx3JaONZhXJyX+PPy8ujq6qKjo4NUMykPEpYW/3/+o26++nr/GERSkrK4hSBWCHJycmy3+P3G0dTka7IO6loFpOELIWz1r1dXVxMTE+NP/Eazb79FyOT2IjbWEeKfmJ6uPmfRorD+pmf+fP7y+OMsampiciQf9s1vqraf+nsaiJj4jWzmIZHu66+rxiqmMUAEcQYDdvr4LXMqhPA1cjLjlFO8Pv8hxcEWLVLS3fnzlds1HM+AwzgwLH5N/GH4YweVHar9jlqaZsK+fftY19fHllNOsdbuB+KII5SMD/vli5ZJOu3t6vwEFu0SQhGRsbW18+bq7Oykvb3d/wZvbvZ3NVmoesBe666qqorCwkL/LOZNm9RW2zw2M/Fjr8WvXQsn7NoFX/qST8o5AOQxx3A1UKeLroWLfoK7YSdvgTonfX2Dz6bev19l65r84QNm7YI6P0cdpTT0BuzMMwnaFUupLHGTq8+LO+7wxqKSkpJIT08fnMWfmalccBMnwrJlYfGU0xiVxN/V1UVbW1sw8VtZ/AAXX6wkfAxSsXHFFepRN7E2ob6+nqOAGeEWW3viCfj+971jAXuJPyMjgwTzeWhvVxMtcLJJqSpkvvgi4IxV5edbt7L4QxC/XeejqqoquGbRkUcGq79uuEGdJ2OBt5P49XeZVV6umoyE6WPPzc1FAA2RXhNj1xKIQVn8hhtwUOdh/Xr1aFLJhGXxC6GyfE16enPMZagIEkB8+qki5dtuG/BvB53Edc89ysU3gjAqiT9ou5aQoHrJWjUYBxW4WbMGGIRFabbQdu4MiiPU19dzN7BE++8igN0qFsubu6PD37dvxl/+4vV522lpW26nw7T47XT1WJZruPRSP+mmdywpKV5StvO61NXVIYDSrVuDeuD2h6LPPsMDJKxeHdkH9vUFxQ/6+voiK9AGXuLPy8vzVp+NCJq4TZLVsCWlJncoYKvqzG9ulpXBZZep6//1rwe/+aij4Pzz/cYRsXHU2KhyAQzDc6QgLOIXQpwkhNgihNguhPhBiPccLYRYI4TYIIR4x95h+iNouzZxIrz1lqqtYQVjEoOadG1tbew39XvtF9qSX7QIHnkkaFdRX1/PweCvke8Pp5/utTjt1q1b6pPb262J3+iyZJarOepHvfNOuOQS3/MLLrCUdNpp8QcFmFtarAP0b72l5HWGWyUxMZH09HRbxlFfX89C/WTp0rD/Ls0Yd2ekZGfh6tFB1YiI/5e/hBtu8JbRaI60YFxhobrGpoBp2PWCAojfTtWZ1+LPzVXNm7ZuhYcf9kvg86Kz0y8ONSiLf8sW9bh48WCH7AgGDO4KIWKBPwNfAMqBFUKI56WUG03vyQLuAU6SUu4VQoTR323wCFldLxQCiB8U2RabkzVCQQeGr7wyWCoKtBsVQRPDLahVVua1yJxw9QS5Nk44AaZOtf4Dk4wxPz+fhoYGPB4PMUPUF1ten4su8n9TQPKWRm5urtfCHLA37AAIkpS+/rpqdbhunQq0aXz6qdJX/+xn3liIXTuguro6jtZPQnxnK8QaOSH7I3VvXHmlL0vawKCCqiedBECu0d8hoiYuoFxqRx7pd6ihoYGkpKSBcwliYy2J347rUV9fT2ZmJvG7d6sg+B//CBdeaP1mk2EEaj5/8skn4X9YTY2vx/Whhw5+0A4gnDt8CbBdSrlTStkNPAYEzuAvAU9LKfcCSCkdTW8LIpaVK2H6dF+Z20CYiD/ibXxBgSr3fP75qoHHU0/5vRxv6PDjzjknvP9nsmZycnIAe4k/6Oa+4AK46SbrPwgg/r6+PlsKpGmryK/t4nvv+ZeqbmqyrItiV6E2ywCz/p+Bi3RAcFePwy4f/yqg9ZprrLuyhYKxS+uO9DyccYYKIgeMASKozAkq2ezTTwe/K62t9XUDM6AXjwFzCZYsUVV1Ddjt6snPz1cxr+uvV8qdUDDp+PU4Ghoawpdfx8erAHFxsV+QeyQgHOIvAcpMz8uNY2bMALKFEG8LIVYJIS7BAkKIq4QQK4UQK4eybQsi/tZWFXi18BkDahIZFlTE1kNcnLpoWVlw3nnw6KN+L7c1NdELpIYothUEk44/Pj6ezMxMZ338zc3+yUpmpKV53QJ2b6f1dwNgwwaVYGeU5gWUdW3O5DVgl/srZJwBwiL+3NxcW85FfX09bwEJv/99ZH9oEH9vpC6W3buDFtRBWfzf/jZ873uDt7ZPPVX1fwgYR1hjeOMNP627XrDsmpt5eXkqqeyOO3yNiawQkNiny7q3WPQ7sERSkprnDz44IpQ8ZoSj47dangOXvDhgIXAckAx8KIT4SErpJyaWUt4P3A+waNGiQWct1dbW+tfT7qfPKKDKJBiImFgaG+GBB5Rv/tRTVR9OEz5NSeGx7GxeCtfHb8rcBTWp7bD4dXu6oBvrpJOUnOzVV4P/yORGcMKq8lp2hrvAr058QoKS/AXAvCObOXPmkMYAAcTf1KQWOnMtfghp8W/R/tnB4qGHuOi++3g8JYVEi+bn/SIri2cmTWKdlcywP1x+uZpf773nPTQo4jepesz/I2yUl6vCiSZELCk1kJCQQEZGhm2ungkTJijvwKRJ/rV5AnHmmX5N682LYFAt/0A8/LAyNn/84yGP2QmEY/GXA+bODqVApcV7/iulbJdS1gPvAsHmnE3Qq7bXFz0Q8ZsQsQVTW6uyTtesUankW7b4/I/Ll9PQ0MCecGIFGkcc4a3VA/YRv/4fQc0+Kiutm8IEwM5CbUFBVasCWFrVE7Bttsuf26+yKNDVEBvr1a1rDPm6nH8+XHYZcR0ddEeYsARAaipPHXEEb4XaxYaCRXB3KMQ/qB1YY2Nw43IisPhPOilIeWVnzCU/L0/Fvu64o/83/+AHfgKEsO8RKVXm8SOPDHG0ziEc4l8BTBdCTBZCJAAXAs8HvOc54CghRJwQIgX4HLDJ3qH6ENRcYyDiv/xyVYIYn1897EmkySA2VmXcdXWpbXBrKxx1FKetWRPZDfXrX6vUfQN2Eb/lzX3ffcraNr5zEL72NfjnPwGHib+qSp0/87HERHWDBMgEHXX1nHOOSp0PxP/9nxqHSfqZm5vLvn37Bpc0tGaNytc4/3y+s2gR6eGKEAIwLiPDFlVPfX19eEFVMwziT01NJTExMTLSXbdOPQYUixuwMqfGli1ByZJ2qM6klNTV1TFXCKV2i9DvHtau+OGH4Zhj1O8jLKBrxoDEL6XsBa4FXkWR+X+klBuEEFcLIa423rMJ+C+wDvgEeEBKud6pQQcRS1GRSsIItf165x2vjj/ktlFKqKgI/lu91Y6NVVs/rfv98EMAPoukj6kF7LJkdEDVbyy6Lo0V2YEKVpt0/OAg8RcW+uvLtSw2RDOWoZ4Ty7pFxx5rXbrbAkNagP79b/X4y19S0dIyKPcGwM/+/nd+2Noa2eJjQfxhE64ZBvEPqoyGTt464gjTsFQuQVjnIkDOCfbcJ7ri6gIdMDftvC1x9NHqxzQG6Oceqa5Wlv477yhO+va3hzReJxGWbk9K+bKUcoaUcqqU8jbj2H1SyvtM77lDSjlHSjlPSnmnQ+MFFMnl5+erJs5lZWqFfeGF0Fp6k6oHQmjF77tPBYGffNL/uP67mBj1fx58EP7wB2/Hpue7uyO7sS+/3Feal34s/t5eeO21oJoroaDLO48zJ7Glpyv5olUPXvBzbyQlJZGWlmYL8VdXV/vLSr/7XdWH2Izjj1dSOl0Ow8CgLEwL1NXV+Tc/aW5WiiyrYOny5So723QdhiS1nTJFtdicMmVwpGugLymJNCLMWLUg/srKysirjP70p2qeM4jciosuUveTKXmrubk5/FwCh4hfz+0Zu3cr//7Chf2+HyGCVD3m/xOEoiJVE+vJJ9XiFxhLGkEYlZm7tbW1LJRSWeChNLhmWBB/0CR67DH1+Je/+B83u3o09u+Hv/4VGRPDeqsSr/2hpUXpew3k5ubS2tpKd6Av9913lR9SW48DQBO/3w1+553K5RAKRiEuDTu2062trbS3t/vnSMyb518UDdQ2+NprgxLihBC2JHEF9Wt44w21CK632Ihu26YWdFN3pSHtPL7+dSWHFCJy/bsJnuRkUiMdw49+pJLRTNizZw+TdDnscLFkiddij5h0c3PVOTDFUiJq9m5B/HpuDqWSbV1dHTHAuM2bVRxhIFlpgI4/NTWV5OTk/s9Fbq5yKQ7ymkcLo474Ozo6aG1tZaG23D74QFXOHDcutJwzgPiDtq7t7aqDFyjXh3lrfdBBylVhJq6KCti8mY4f/Yg+KQfu8GRGfHyQqgcCLEuPB771LfV7mJmCNTU1pKSkqI5kW7YokhuopG+AXK2wsNBbyniwCKqB39enrH2t7NFobla+YIfKNgS5m15/XaksDjss+M0hVD0wCIv/gQe8ZZG19G+wxC9SU0klQvfbGWf4VcSUUrJnzx4mmpvwhIMVK1Q5YSK4Hh6P8uvffXfQSxEFmJcu9e+JjCL+rq4u2sOtiWWBuro6PMCGF19UO5qBEKDj1+MIeT1eeklJWG2oKeQ0Rh3xa2Iq1tr0iy9WqpG6utBa2alT/RQlQRZMUpJK23/jDdUwxPx/4uPVFs4cOJ4yBZqb2WvsNiKy+EOko/sRzM6dSvsOYRO/N0u1p0clpTz1lJ+kzxKFhX7bUTuIP+gGX71aubfeesv/jc89p3T8FouTzt4dCoKIf/duVSsnwLUE+DXrMY8BIiT+8nIVMDckfCFbYYaJmPR0Pk+ExL92rdrBGOjo6KCzszNyV89vfqNKPBOBq2fNGti40dKdFlES2f33BxGzHeID/bc506dbl2gIRIBhBAPsfj77TM3rSKW7w4BRV49fuzQqrrySmb/+tbppjzlGnexQW7fnnvN7GjSRtWLHCnv2qGbtl17qX/rA1JIuYuIfyOJ/913f72ESv1cjfdttauH429+CyyQEwpTfAIr4PwiV/Rwmgoj/PiMMtGyZ/xtDBHdBKa82bRqaKKyuro5DzaqKxsbQ6qZ+iD+incc996hHo+DXoDJmTeg95xyu+PRTjotkDBddpKxuw8U32Br4gX0jGhsbBy7nYSjnuPrqoJcGPQ4D5kYokydH1KHAi7q6Oi4Fxt12G9x778CunnPOCco+7pf4d+5U5b5t6K3hNEadxa+JP3vePLUlvPVWVRLApCAYCLm5ubS1tdGlL+rddyuLtL4evvAFFTTW2LNH9Ue1KC8QVJogHCxd6td5ypL4tVVz0kkRWfx5ubkqYDppkrKyI0RRURH19fX0BvhXI4FfBUaPR8Uo5s717/cLAxL/UC1+y0YwoYg/KSmoX3JycjIpKSmRWfw7d6odolGQa6jEn/L97/MUEVq5AcHdQRNuYqI3wS43NxePxzNwobbNm5VE0sKajqjZ+xVXqAJqJtjR7Lyuro5T4+KIe+218Mpjf/3rQcqcfol/zx5vm8mRjlFn8c+cOZOf/uQnzHz+eeV/mzkT5swJLVkEuOYaNZENlYJZj1taWKgu7vXXq4Dj66/DySf7/tYquGvAsu78QAgo/2qZsFRVpVwwt98eOm4RgIaGBhaPG6cITvcPGAjf/KZygRnt8QoKCpBSWhd7CxN+QbxXX1XlIi67LPiNYRB/xI3GDfT09AT3VX3ppdDNzc86K4ho9HeIiPg3bVKGg4GhWrnxra2cmZpKs0UrxZCwi/iTkrzWrnmO5oRaPPv61Pe/5hrLl+vr60lISAiv01xDA+za5XfIjszyuro6ZsTEhC5aGIiuLmW8mPIf+iX+hobwXEgjAKOO+OfMmcMtl1yi/Ozx8Uq5MhDWrfPzu5mth1Jz/RZ9gc0tAcMg/qHo+C0t/gULlGvJXEGyP7S28rXycmIPPVSphsLFBx/4SWDN8YahEH9cXBwZGRmqI9nEida7D038FmUbcnJy6O7upr29XQWrI4RlFvP06RH/n4iCzFKqqpizZgWNY7AWP6++yrPt7dyu4z3hwAGL30z8M0L1FOjuVnVpQmjjtaw1rIV8+3YV49q71ysJtSPPpK6ujkl9feET/7nnKiNs1Srvoby8PFpaWuju7vZveARhF2N7++23mTRpUuRKKxsx6lw9gNpSQviZcQGqHr9toybcww7zdaoyKwcGIP6srCziIynAdNNNfmSbnJxMcnKyP/Ffdhn86U/K6nnoIf/xWMBz9dXcuH8/X33zTUW25t66/SEry2+hsCNrtr6+ngk5OeoGX7ZMXStz5y2NefOU2seCkDVRDtbdExR76ehQBsLGjdZ/sGqVKrFg5GZoRCQrFULVcbr9du+hIRO/UfgvPhL3Rgjij3gM3/oWvPyy39/2ey6SklQns89/3vLliGStWlZrUtTYkd/RUVlJZl9f/4XZzLBQ9fQ7N59/XikM+4GUkhNPPJF77703vDE4hNFJ/G+8oR4DikCFRH/Ery+gnpQpKf4Wv47qWwS1vIlkkcDj8ZUHRn+0yaVw220+7f7HH6tF4LPPrP9XSwucfjoxjz7KDuDZG26wVq2EQmamH/HbkTXb0NDA062tyo0kROgyGiUlKsvRYmus3Qm2Ef/27armii4lEIiqKhUMDSC2QclKA0g34lIJZkyaRK8QZERyHu65R5WgMNDQ0EBMTMzARcUCMW2at3FMWPWTli4NVm6ZEFHrx9/+VlXCNSWACSHIz88f0tyUtbXUp6aG3wktQMcP/RhHjY1h9VNub2+nO9KkTwcwOolfW/zhuiMCiF9L22pra5U1HRvrC/wtWuRXs4UTTlBbeIsOOnV1dZH590FZ5N3d1gllNTUqAefrX1fKn5NOUu/XyWWByMxUBApcD6RFqtUOIH47CqSJigoWdHaqQHl/6OpSriYjWG+GXcTvJRqdoxHK3WOh6tF/H7bF/+CDSgVicl1ppdVg4hR6XI1paeSZEssGxGmneXcK4PPLR9zUZtMm+Mc/oLd34HnR2qqMlH76ykZUmfPcc9X8/8c//A7n5eUN2tUjpWRFczO3X3NN+A1x+rH4g87F6aerJjgDYMi7QJswOom/tBS+9z1LK9wSs2f7+V7T0tJISkpSmvWLL1aTTJc1eP11/8YlsbFKnhXC1ROxxa8tYBNBeC1+o/4P//ufcjllZSmFTn+JWL/6Fet/8xueYxCTKaAsrR0dwY7RZasHqolTW6uUWBa9iofaoMavTs/+/Ur5lZIS2tILQfy5ubk0NTWF12/2qaeUQWKKJQ2lXINGU14eE7q6ws9YfecdX7s/BtFkXeOVV1ScqaOD1NRUEhISQl8PHYg1WeiBiGgcQqj7MEBuPJSyDbrdakT3q4WO3/Ie2bFDGTFhKHpc4h8Kvvc95RIJF3ffrSwyA0II//6Zuv+sFdauVW4CXVrYhEERf3KyejQ1R/ES/7p1ahxmF1ZhoV+JBy8aG9V2+LPP2D5jBpJBTKZbb/VZw/gkjIO2+Ht7ObOxkX1JSaHzIjS0+8MifmGXjz83N1dVS6yuVnkNoWIf/RB/2N3Adu1SCjMThlKuQeOD887jTGCfbgE6EM4+W0l6TWMYFPFrA6Wry1tGI+S80ImCIWJuHo8n/AJtGgG7URga8dfV1XErcNazz4b/R+efH5STYLn70XlCp5024L90iX8omD59yNlxXuK/7jq/bj9cdZX60di6VQUGA0jI4/EE93QNBwcdpCaTyRfvndDbtimryewTLiqydIdQXq6KQdXWRqaRDsSmTX6L0FBuLtnURLbHw3tHHjmwTlrL+szxFAPZRjB4KMQ/ITtbSdYmTFBB5v5aY6akKJdZQJA+omB3Q4O/i5AhkK4JMXPmUEYEahaL4O6gSEbfXyZJZ8h5UVamzl0IV1pTUxMejyeye8WC+IdSS6quro7PA7mRzKkLLoBvfMPvkKXF/8knqmSMqbF8KLjEH01cf73yG5rgJf533vHFDMC/XAKEVPVoF0DExH/00SprUFeNxORSuPpqlZNgxn33WftO9W7FFPCKeDLt2qU+7xe/8B4aSoG0fVVVXAJsNedBhEJSklocLCx+S6VTBOjdu5d1LS0qH+O44+Dtt/tvfbd0qVpIjWCmRkTB7ra2oGqMg9oRBqAgJ4ebgbhwVSAWxD9Uix8GIP68PKXmCbHYD0pSmpFhafHr0sqRoq66mmOBvkjiYM3NQQmUQXNTSpVpH5iZHgIu8UcTH32kfLCmi1hYWEhNdbWqL2LO2jQlrgAhiX9QyVvm/xnQ31VKSfPEiarIlxmZmdZ9BjRhpqfT0NBAYmJi5OoR7ZPcvt1vLBFb/C0t8JWv0FJRwdNAXjhkJ0SwgsqEoTSoOW3VKjI9HlVkbAi9TsOOeUipci5MPl6dRDZUiz+noIDrgdz+qqya0dvr3U1KKQcfZwiIRYUMrP7nP/DnP8PTT4f8V4MqbTJrVpDiayhy404j7hEXroYflDrqyCODDvstglIq40wXVRwAeuwhE+GihLFB/NqCN8ncCgoK6NQLgbmEcHKyf3PyAYg/YovupZfUjbl6tfdQbm4u6UDbypXBSqW33lKtHwODe5r4U1MjS44JxOGH+8kYB+Xq+eUv4ZFH6DB6B4RtzTz6qHVWL0Mj/oPr62lMSvJWyRwQW7ao3UHAzipsohFCGRemrFXtphqqxZ+Xl8cbQHpZmdpVDASTxd/W1kZ3d/fgiP/YY+HTT70JSSHdLA88oMqZvPNOyH81KIv/73+Hf/3L79BQCrWlGg2HEgPLg/eHgHr8Gn5zMyZGVUQN2C2GQkNDAxkZGZHl/jiAsUH899+vrGaTzK2goIBMXZPGHEwNtPj1hbeL+LXv1HQT5+XlcRYw8ayzVPMVMz76SCUFBWa4xsYqv2J6+tCCiFlZftUUI3b1dHfDXXfB/PnsMKypsG/wM84IKr+rMWjir6lhfE8P6yZPDj99ft8++O9/g7b1Q8lrGPT8CEBeXh5eWUI4gckXXlD5EQyxZER2tvJZG2KE/Px8mpqagt0sWikVKkcCe88FDO56bE9I4OHYWJJMJasHhIWqR4/DOzevvlqd8zAx2IbzdmNsEP9556mkqRtvVBr5P/6RgoICPEDbccf5B6Xmz1dafo1LL1XkH+AbHFSBNvAlih1zjNLsS0lubi5eZbHu16lhVUYCVOCpshKKi4c2mQKyd3Nzc2lubg7fj/rcc2pRuvlm6iMNMq9YAe+/b/nSYInfk57OWTExrA6RQWoJLQsOUPWkpaURHx8/8Dj27FFlNl55xXvILrLLyMjgPW10hEMwJ57oVRcNOvYDak4kJalFHd/3CDoX+txdf33IfzWo0ia/+50yDEwYCvGvjo3lx8XFiFAJhVYIyP/R8LpD9+5VjZtefDHsf+kS/3Bh/Xq4914KCwvZA6z5yU/8K3t+//vKbxmIADfKoG/sgw+Go45Sv1dUwO7dzL/ySs4GGsePD+pI5SV+s/spAEPSi19+uaqxYkD/n7AVNbqv7xlnRB64+sEP1GJsgUERf1cXzV1dPOvxEGPK2xgQIeScYXcD001lTNfILuIXQpCan88H06f7NVixhJTK1274s4dk8cfHqwXdiC2EdLPccIMqedGPyq6+vt7bvSps7NmjWmKaMGjif+UVFq1aRcEg+w4Hwjs3tQv54ovD/pcu8Q8Xzj8fNm2idP9+0oBaC32+H956SzXXCNBR19XVkZmZGVyoaSAIoYKOmzer3IL0dJLWrWMr8ML55we/X98sgRb/Aw+obj8MUS9+3HF+dfsjDqAddpjKBzBa0nkLtIWD3NyQGb66GYvHYqsdEgcfTKxREC4iwg1B/HocAxKNdtuZVD1DrcxpRl5eHnfOnq3iIWVlliXCARXYPeccL1kPSUGSkqIMIoPQtYghiPjHjx+wZtag1E0Wgf9BF2p77jlO3LmTgkjHcMEFalcegLy8PKXC0y7hCAoJusQ/XDBkV0VVVTwKfCGwacSf/6yq92nC2bBBkWyAj31IUr24OLUdFwJycpD79zMvNpbNVgGfUK6edevg7be9yTGDJpjGRpVub7h2IvZrn3WWtyS2lg6GHWTOy+uX+D0eDy3hVhvdtw+2bGG/EfSO6HwkJysVicUNHNbOQwfaTX/vl0Q2ROTl5VHd1KTmyz/+ocqHWKl8AoQIQ951ZGZ64z8hLf433oDHH+/33wxKUpqcrO4502IcHx9PZmZm5Bb/8uVUALmRKvBOPDGojDr4VHjtOjYWQX0sl/iHCzNmQEwMGXv3sgjoCCTbtjal5ddEH0LVM6gCbVaIiUEkJJATyqVwxhkqgLpggf/x9nZITaWlpQWPxzP4yfTMM8pqNxQwEW2n29qUn96weCN2OeXlqdhLCEtb/88BsXu30uoDO4yaShFdm2nTVCLbSSdZDDEMlZO2+E215uvq6sjOzrZFveE3hlNPVYvl+eerxCEzAuZqfX09sbGxZJpyRiKCKf4Tkvj/+le45ZZ+/82gLX6IrAOWFdrbYeNGPujtjXwMdXV+UmcNPTf3dXer2F+YcYPe3t4h9WC2E2OP+FNS4OSTiY2JYRywftw4/9cDElf6k3MOSsMfAiEndFyctRbdIP4hBfDAV5wuoD9sEOF+5St+pQAAJUldssRb9iFil5Pu0mVREiEi4n/kEVV4Ky2NrcY1sWVRJkyLPztbBeVN2mw7krfMY/DOjYMP9jWuN5WABiyJPzc3t/92if1h2TLVvxmlOxdCBHfA6ukZMFdiUBb/hAnKIAkQGUScvfv22yAln/T0RH49fv5zy+KM+rvsmTdPGR1h9nrQcTOX+IcLL77olRF+GFi/RRO/DtT1Q/x23djQD/GXl6u08TVr/I93doIpg3DQrp4A4rd09fz1ryrWEZhcpnXyRu5BxDf4WWepOi8WMYGIiP+SS1QCzRNPUGG4xCK6NlVVKlHHqD8fOI6Ghob+i6Qdc4yK2+hCf9g7P3SA2RvvKC1VC/FTTymBgIYF8Q9pDFddpepcAbGxseTm5gaTbnd3sCAhAIM6FxdcoIoWBiQvRmzxGwHYTxiEMdBPcBciTyQbKVm7MFaJH2DTJiqSkng98HhgEbX4eFXcy0T8g67T0w9CTuj2dlVjPbALU0kJzJgx9Mmkidqw5CwLtf3yl4pgAhOidA0hY9cUMfGPH68I14I4woo1rF+v2kYmJirZ4UknUVdX562+Gja6u5Ws1KIYXl5eHn19feHHGgzYUafHPIageMeNNyopoTkukZamlDDnnWffGKT05rJYWtsDWPwdHR10dHTYei4iIv7vf581b7xBFfYRv/4uSW++qcq2h7kDcYl/JKCoiIcWL6Y68KJNmqT86pqMrrtOBQ5NUrTm5mZ6B+Mz7Achm0zoGyZwnPfcA088MfT2j6Wl6tFU+jlIwqh/r6vzDzKXlyvSzckZXAXGzk6VnWnRGSssq+q99+DXv/Yj7Lq6usjPRQgdf9jj+N3v1HbfpECy2+KHgEVw7lxlkZv99/HxSolj9GgYMvE/9pjaARsqopDE34/F71ciOxK8+65KrAwwePQYwipTbbhrq42+zoMifgtVmXeO792rEi51IugAqDHmqZ0u4sFi7BL/VVdRddBBwT7Lz39eJSWZtu2BGFKdnhAI2s5rZGerCRjCqqg05KjjAmMV4SIzU5GvqTlFkISxp8dX1mLbNt/xF15Q50kIGhoa6O3tjaxXb2+v0kBb1OTPysoiJiamf8Ldu1fFQEzZv4Mi3H7knGFJCKuqVDKdsYDohvWOEj+ohfe++3zZ5R0dqgy1cY0GtQiakZqqdkOmZMWg8/DwwyrGEgKDlrV2danOcwHxn7y8PPbv30/7AO1IAeUuuuiiwaubYmIs54RO7OvUDXLCDOBrrikMqOI6HBi7xI+6AE1NTXQbFoElnngCLrzQr2aHXck5ZujtfFDt95gYZfUH3nBXXQXf+x6VlZVkZ2dHlhwTiC99yS9AFbSd7ulRzWzA3zp/9llvZc9BLUDaTfHUU0EvxcTEkJOT0z/x79unfMCm4OWgCFcTv4V159etLRTa2/1cLnbvCLWBURmYc/L446r+lFYVNTSocg3vvIPH4xl6IxidBLd+PRCC+EtLg7LazRj0vRIicTFs1ZmUqjlKcvLgx3DWWUreHQCd2Ocl/jDlnNrit8vtNRSMaeLXN5TfJFqxQgUrDXkg69apTF6TNt0p4g8ai8a4ccG1elavhs2bqaqqGry1r7Fjh/LjW5XglVJZPUccoVrsmZK9mDVLWVX4iDEii1+f048/9g9SGhhQUdPZGSSlG5TFn5Cg1BsWN6Qm/hqrZjgabW1+Us5BuzdCYPbs2Qgh2BAY5wkIzJuDu83NzZHXwA/E1KkqvvXpp4D6Pg0NDf4dyR5+2NeIxAKDtvi1C8vC4jf/35BYv17JXufPp66uzpsDEBGWLFHJmxbIy8ujUy+4YRJ/bW0tOTk5w16gDcIkfiHESUKILUKI7UKIH/TzvsVCiD4hxLmh3jOSoInf76aOjVU+Yx1IC6hvDs4Qv/5flhN69Wp1g5lhBNVqa2uH7nLauRNuvlm5DbCw7JqbVTAxLU2RbVWVCuzecINX5zzo2kW6qmF2tl+xOAiD+Ht6/GIvUsrBEX92ttLEG0FRM/S5rbZqhqMRUIt/yHGXACQnJ5OTkxM8hn6I35bM4ZgYlT9iIn4ppX85j9/+NnhumjDoe0XvInbu9DscdoVO7ZI85BCvyyvi6rXV1aokiUU8IS8vj+r9+5WbMUzit1sJOBQMSPxCiFjgz8DJwBzgIiHEnBDv+w3wqt2DdAr6pvbbxmvLTfsQLYh/0CTXD/q1ZIRQPmSz1W8Qvy2+5OOOU5LKhx4C1HnZt28f+/fvV5+dmam23r29qoBdcbHahfz2t37+ZBjEOfngA3Vjbd2qtNv//a/3pQGJ/5//9Gui097eTldXl61b6cTERLKzs/u3+BcvVuoOA04ZBkFk5zTxg7J4jV2eJekOENytq6sjNjaWLKueEv0hI0OVnzC6sWmEbfFrBdqsWYMn3L/9TV1bi4KF+fn5PBQTo+IQYSrI7FYCDgXhWPxLgO1Syp1Sym7gMfAVkzThm8BTQD/O0JGFwRJ/XV0dGRkZJA6x/aMZ/QYR339fJbNo9xN4iX/IATxQlt0vfqH6C7/5pn9dlq4uVbhu+XJl2dx9ty/DNSkJjj/e+964uLjIb3CN4mIVJPvqV70qibCSp0z+/SER7uc+B3/4g+VLhYWF/RP/TTepRdCOcYSApepLk6I+R04Q/yWXwLXXescAAXO0u7vf4Kaen4NKInvyyaCSCWET/2GHqSKABQWDJ/4Bgv6Rlo4YVRY/UAKUmZ6XG8e8EEKUAGcB9/X3j4QQVwkhVgohVg62d6adsAzcaeLX/ruMDJ/k0YATF3BAH39ZmX/v3YMOwjNtGo2NjfaM5WtfUxb3T3/q/X+1tbVqAbzjDl/jmOOOU+WHV69WflTjpq+trR38DQ6qdv5f/qLcbEZhrAGJ/9e/ht//3vt0SIS7bZtqRWmBAYk/AE7FgILumWnTlCtCV+2cPFkl+p14on3E39ur1EMdHaEt/gGI387zkJWVRWxs7MCunoUL4Ve/gpiYoRO/RdA/Pz+f8xsbkRYdukJhtBG/lWMs0Ol1J3CjlDJ4aTT/kZT3SykXSSkXjYQTkJ6eTmJiov9NnZamtra6wcQtt3jL3Go4cQFTUlKCE6c0rLT8Tz1F/bXXIqW0ZyxJScqPv2ABBYZOuba21qdRDry5DzlEBf/QQ7PhnJxzjqrY+ZvfQGcnubm5dHZ20hmqJPUzz8D//ud9OqSgqkWPV43CwsL+ffwLF/p1dxtUGeIBYOnqSUpSn62DlklJyiefnW3f4rNypZLsvvqqv0GgMUDm7pDmxYMPKhej6XtrRU2/1vbWrSr+ZCzkg66r1U9+R35+PpNAlaQOA7aorGxEOMRfDphF7aVAYC3jRcBjQojdwLnAPUKIL9oxQCchhPA1XdeIj1ctAU89NeTf2VagLQAFBQXWBJOerm6ugBvf7iAi11wDd99NgaESqq2t9fk3Bwhg2VK7SAgVYM7IgPLygbN3u7r8grtDIruMjKDS2xpFRUX9W/w1NYoATeOw+wbXipqgPI+HH1blNEDp7f/0J9i9m5qaGq8xMSToIOvy5dbuyHXrlGUdAkMi/qQkJSYI2PUNSPxbtijXW0MD+/fvZ9++fUOz+C0Mj4KCAuIAT5g73ObmZvr6+kaVxb8CmC6EmCyESAAuBJ43v0FKOVlKOUlKOQl4ErhGSvms3YN1AkHEr6Ev9h//GNRowe4CbRoTJkxg7969wS8IEVzCeOlSkoyiabZOpl27GGdW6mjiH0CCZttieO65KjFr+vTQNeA1AuScQyL+zz5TeQkWyWSFhYXs27eProBKkV5YLEBOuAL7+vpoDlA+cfPNvgSqPXvgm9+E9eupqKigpKQk6P9EjHHjlNVdX098fDxZWVn+16OwMCgAa8aQzoXOkLUg/n5dPXrnlpU1tF3gCScoMcOZZwYpewoLCyMififcf0PBgKOWUvYC16LUOpuA/0gpNwghrhZCXN3/X498WBL/cccptwOogKe2qLA/K9OMiRMnsjtUk43zz1fuFY21a+k1EnpsHcvPf07qySeTYEhFQ7p6AmAr2WVmQmUlC59X9kXI5CmjUJ15DPHx8aQHFt4LB3/9q/qOp50WVEJCx4JCunssFiC750dIGWNOjk/Vo3cDsbH2ET8od1Kosg0//akqUGeBnp4empqaBn8u9K4pgPhDljfR0ItjZubQCHfOHFUao6MjqAOfJv6+MCWio474AaSUL0spZ0gpp0opbzOO3SelDArmSim/KqV80u6BOoXCwsJgYsnJ8QX6AlQ9LS0t9AymxGsYKCkpoaqqyroOyR/+4FVXANDTQ5sh77R1LAZZLM3JUZN1+nRF/hdeGPJPuru7aWlpsXcX9Je/MP7vf+dY+iH+pCS/yp6acCPWawNceSUYC01gkxOdlGbp7pEyKhZ/yDwPM/FrX3RMjL3EP3Giqp1jZCN7iV9KRfxmtZkJeqyDnhf9WPzhEv+QLH5dAsNCzllQUMBuoLKf0i5m2O6WHSLGdOYuqAtYU1PjT7b5+d76JIHE74SGX6OwsJDe3t7gsg0aeoxSQm8vLR0dxMbG2ku4J58MwIK0NB/hxsYGSVrNcMSaMRa5U+mH+Ldtgzvv9BvHkMZw4onKbfG3v/lt7TXxW1r8Hg9ceqmyig04sSMMKffNzg4ifhkTQ2VlpX3Ef+WVypcfG+tP/H196jyFCO4OeV7k58OXv+xXiwnUuWhsbPTPIDajrU25pxIShjYG/T03b1Y5IyZkZWVxV3w8959+elj/yu5s7qHCJf6CArq7u9lnDuwVFKibqbc3iPidKNCm0W95gBtv9JY/1hZIU3s748aNI7YfUo4YhlLnxP371Tj27IGrr1Y+8BBwhPjz85EnnMDpQlDTn6LGhCETrhBw221KOmtqJ9gv8cfGKvWJ0f/Y7jLEGmG5egwibGlro7u72z7iX7YM5s8HIfylrQPEf4Y8L1JTVfwioBlKfn6+dV0rjV//2mv1D4lwzefPVL0WQghD+oFr8Y8wWCZx6UlSX6/Idto070tO+uosS0hoSOkLWkkJX/gCm7q7KQ3IMRgyCgshOZkiIdQ4qqqUvj5g4pvh1GIozjmH6VKSZMrO9aK3VwWCn33WbxxDvi5XXqlcG7oAFwNclwA4NT8spZSgFqoVK9Tvn/sc7NjBHsNAsHVu3Hsv3HEHhYWF1NfX09vbOyDx67EOaV54PEF9IMJK4jLGVFdXhxCC7H4C0CERF6c+Py7OUvF1W08PV7/4Ylj/ygmJ71Aw5onfMolr8WK4/np1wX/7W78yAk7W1O7X4k9NVb5kj0fVwP/f/3ikt9d+4geoquLJiy6ipqYGj5Yp9iPndMz9dfbZlCUmkrZnT/BrnZ2qqqepJ6otMsr4ePU/TcW54uPjyc3Ntbb49+xR58ZwBThF/ElJSWRlZVEV2AynqMhXMjs5GaZMocwgRNssflD5Eg89RFFRkVfgMBDxVxiF94r1+AaDX/1KfT+TpLJf4u/ogClTvAaBbj856F2xECqOZDIENCbFxJBncdwKIyl5C1zit7b4lyxRk9kiaLVx40ZSU1OHNplDoN8SwFqPbTRCkVJSXl7uDPFnZlJYXExPTw+t2o3Qj6pHlwu2/Zzk5fHjZct41Eoyp6WVhpqmo6ODffv2Db1SKSgi371bZQUbGdxFRUXBZZFBEVJfn/f86MXBiZrrxcXFwcS/fj387GeqiuX27fDrX9NkqJJsJf6JE2HPHorMCqecHEWIV11l+SeVlZWkpqaSYdFaM2xMmKAeTTLnfsubfPyxEmYY18EWmXF6uqXFn5qQwP5QcYYAOJHbMRS4xB9qG//gg8rK+eEP4YorvIc3bdrE7NmzB1+aoB9oyySkxQ+qhEJ1NXLCBE5rb7f35tZ47z1Oe+EFkoAmvQj1k51ZUVFBenr64GSUAyBx0iSSy8tV0xcztAVobJ1tX3w2boTvfU9lBwPjx4+n3MrdFbAAaSvXiesybty4YOLfuRNuvVXJjjdtgh/+kPatW4mJiYmsRPZAmDgR2tspNeZhdXW1sobT0tQO1AJaWTQolZX5c8GP+Pt1velSK0awvbq6eujn4cQTlawzACnx8XT19obVDaympsbe6zFEjHni16twkJWdm6tkZJ995tfovKqqyhkrG9V8JD8/33pCL1igMmvj46Gri5jycpKx2Y+rsWMHU994g3FAQ12dItd+iL+8vNyZBQhFdpc1Nqp2mOaSCgGEazvxH320evzgA6Cf5LqABaiiosJ+0jUwbty44F3Hsceqx3fe8QZ3a+rrlc48zHLBYcGwvIsN9051dbVSvXznOyHLFlRWVg79elhY/EVFRcQYktUg6NagxgJlS7+Kv/xFiSsCkJyQQG9gmeoQsGUBshFjnvgTEhLIzs4OJv7sbLV9DlD1OH0BQxYEO+II1Q0oJ8frW+3BIeI3btYSYO24cepmWrQo5NsrKiocWwxLS0t5Tz8x1eXRCUVax2878aekwDHHgBG8Ky0tpa6uTpWqNkMTv8nit510DZSUlFBZWelftiEtTc3V+nov8VfX1dm/EE+cCKmp5BrWe3V1tTKM7rxT1caxgC25BNpNY9Lyx8XFMW7cOOsdmK6qm5qKlNLR+3X/7Nl8ANYGgQl9fX3U1dWNiJaLGmOe+CFEEpcF8ff09NDQ0ODoBdR5BZbo6VHjMQKu3ThE/Mb3KwTKysr6fy/OWvzjx4/Hq5swd3r6+99Vf+TTTgN8xG/rOKZOVWom0zY9aJ4UF6syCUYij62JUwEoKSmhp6cnOKiZm6uI31gQqmtr7R/DwoXQ2kryaaeRnp6uiL+f4K6U0h6LPyVFBXiXLfM7XFpaaj03i4vhlFMgM5PW1lY6OjqGTvzXXutrGGRC6w9+wHUMfI/ormWuxT/CYEm2OTmKYE3Er7NqnbqxIcQiBGorn5CgHk0WvxNBZp0xOTkjg6QVK+ArX/EltAWgr6/PUffX+PHjaQEqDjkEXn7Zt5Xv7VVkZ1iglZWVJCcnR95erz9cdpmydCsqQvuVZ81SPQqmTAGcJ379GX7IzVXBR8Pir3KC+IXwnmtvrKEf4m9sbGT//v1DH4cQqq7+5z7ndzhkzOWkk1S9paws73ka8tzcv9/P1aQxwXBDDUT8OuDvEv8Ig2Uixt//Dhs2wMyZqmYHeCeaUyQHPldPUMDIrOpJT2f1pEl0ZGeT0I/vfdDIzYWEBIoyM4nbvVsl0YQoUFZTU0NfX5+jFj/Au0uWKHeKTtoJ6HNbUVFBcXHx0AKJgVi6VLmUDj00tNS2p0edG+N62ZoxG4CQxP/vf6s6TmeeSceuXazct8+ZOfr443DkkYwrLFTEr6W+FsRvi5RTo7xcyWZNKC0tpby8vN/Aqr5fh3w9Qqh6Ci6/nIdiYgZ09eiAvEv8IwyWQTOt2rnnHrj/fsC3so8Psz7HYFBYWEhnZydtWp2gYVb1TJ3Kj2bPpn7yZGcGkZwMXV28v2gRbdq3OoBW26nFMD09nczMTD6Ij1fKFX0Tt7f79bm1xa0QCL2IdHZSGMrif/hhdb4qKujs7KSxsTH6xP/qqyqRa9s2Knp66MMZVRFNTfD++8zOzFRWrJYyWswNW11vZ5+tssdNGD9+PO3t7cHVSn/8Y2WsYaOhlpGhDI2AktiiooLipKQBLf5o8EakcIkfdUH27dtHi1k18t//qjohJks3GhdQKxCCFiJt8RvBKycDqgAIwfjx42nTFnaInYVtVlU/GD9+vDr3ubmq+9ennwZZ/I5Z2s88A5mZFBvzIOi6mNRFjuUzGNBqliAXx6xZ6vG//yXhpz8lA4euh5HBvsAgO8/SpYoMjfabZthq8et4mwl67gedi9par/rLtjFomXJgAl9PDwkpKQMSf3l5OUIIx+bFYOASPyF8ddu2qYYsX/yit2BYWVkZaWlpQ0tIGQB6UQma0JrkOjrgrbd467PPOHKAUslDwk9+wnlbtuDRKpYQxO+0xa//d1lZmbLAL7pIlVC+9FJVsgEbA4lWKC6Gnh4S33qLvLy84OtiknM6qeEHpWYpKioKtvi12OCVV5j4r3+R6tQYDC37vNhYurq6fNfEwr2mF0FbEuoyM30VNw2EJP72du+9Ul5eTn5+PklhNkMPiXnzrJPUenpISEsb0NVTVlZGUVER8U7erxHCJX58ZOtH/JpoV63ylmguLy9n/Pjx9vqRAxByQmdkqHZyhxxCV1MTOXa1XAyF995j1q5ddAG9WVn9JunEx8c7mpXotfiFUNbtli3w7W8r8keVyu7o6HCG+OfPV49r1/rGYYYm/sREx4lf/+8g4td1aIw4VY9TYygqgqQkJhp+9YqXX1alLSx6SFRUVJCXl0diiHkTEdLTfYlZBizvWQgiflvOw4knKi1/4Pzq6SEpPZ2KiorQlUKNcTi6Ox8EXOLHZ/H7rdya+Pft86p6ysrKHPfT6YkaNKETE+H22+GII2g0tpx5Tm4dc3NJ6eriHuC1Rx8NafGXlZVRXFzsSCazxvjx46mrq1MdsGbOVMRvCi7qRdKRa5OSoqSE69dbE39XlyrxEBc3fMSflaUejRIGSWlpjmRRIwSccAIZhoJp35o18MADQdY42KxuSkvz6fMNhHR7tbd73aK2Ea6USkG2cqX/8ZNOon3uXPr6+vrtyRwN3ogULvGDt7SxJfF3d/sRv9Mrd1JSEvn5+dZStZYW2LfPW0Yh32HiTzSsrP58mLt372ayU0FmA+NNGnlmz4aKCmV9ffnLQBTUVjNmwPbt1sS/bJlqf2iMb8i1aQaAJfEnJSmp63nnAQ7Pi+eeI/2224iPj6dRB7pDBHdt24FdeCHcdZffofj4eIqKioLvk6OPVjp+bI6D5efDHXf4H7v3XvZ95StA/0lcrsU/QhEbG0tJSYn/TZ2Z6csaNHyaNTU13t2BkwiZnDJ9Otx4o5f4Cxy0LMnLI6a5mR8JwfwHHgj5tp07dzLFsACdgt+2XrtewEt0jhP/xRfDr39NaUkJzc3N/oqrE0+En/wEsKk2zQAoMcbQofMZNE4+2euKcHReoEijtKTEV8cphJzTNot/6VK45JKgw5YL8U03wS230NXVRX19vT1zQggVwLZwaQ2k5W9paaG1tdW1+EcqgmqxHHWU8pledhkcdBDbt29HSsmMGTMcH4vWKAchNRXa29klJQ8DBU6OpaQEMWECZ8THU6DbUAags7OTqqqqqFn8ZWVl6rpcfrl64bjjAJ9qwpZAohU+/3n4ylcYb9zkftemqcmrOHEyeUtDE1mQ1f/WW3DYYUwvKaHISZJ57DFISmJJURHNujpmAPHvN5r42EZ29fXw0Ue+vAEDIe8THCiWN3myrx2rxvjxTHv4YSA08Ucj92cwcInfQMgiXA8+CLfcwpYtWwCYaWiEnUTIrMSUFGhv5+PYWK7LyiLVSUv76qth1y5S4+NpCtAva+jG8E5b/PqmKSsrU0FuI8GMnBxA3VyOqiakhH//m8Wffuobh8b//Z83nT8axK//f9D8+PGPkb/4BbuqqylxkmTS0qCnh9k5OdQ1NKjnAfEfTbq2Ef8LL6hzHCCl1Ra/NLckzc+H66+3n3AnT1YxFPNOq66OpNhY0tPTQ7p69FxxiX+EQpOtXwGsCy9U0XzwEn+0LP7Gxsbg7XxqKnR0OK/hN2FcXx+7e3stX9u5cyfgPPGnpKSQm5vrI1wplabccKk47kMVAu64g3GGxedH/J2dkJSEx+NxNGtXI2QSV3Y24u23+ZWDWdSAtyjexJwc/tjSQk9jo3+LQnz+btvcojpRL0DZU1paSnt7uy//prZW7Q4mTLCf+HXjJXMPgO5uiI8PbTTiu0ec3hVHCpf4DUyYMIGenh7/zMx33lGW789+xpYtWyguLibNlC3qFPrV8re3c8SqVazesCEoqcVWbN8Oy5aR3dXFpo4Oy9T4aE5qv7jH9dereiwGohI8Kyoi1Sgb4Ef8XV2QnEx9fT09PT3DR/zG4vwdnFUVaeIvSU/H4/FYlka2PdFR33MBZVWCpM96YcjMtN/Vc+yx8MQT3l2mt9F8fDxTp05lu6kTnBk7duwgOTnZOTfkIOESvwE9Sf1Wbi2T27ePrVu3RsXNA/1o+b/2Nfja1+hobibemHSOITYW3n0XgPW9vZY1x3ft2kVKSoojbSgD4RfIKyyESZO8r0WF+OfOJWbTJgoLCiwtflszVftBWloamZmZwXPDmAtxRIf4x6WmcjqQcsUVQXWcbCd+nadg7Lo1grT8OqciJYW9e/eSmZlpn6x18mSVMKj/n6lA3fTp09m+fbu/t8DAjh07mDJliqNy58FgZI1mGGEZnTcmnExIYMuWLVEn/qCA0Ze+RM8FF9Cr+3w6Sfzjx0N8PJvPOov/WI0FZfFPnjzZURWLbzgWCg6gtbWVlpYW54l/wgTo6GB2cbE/6Rq68Who+DUmT57s3W158dBD9MbHU+/0GPLy4OqryTj0UOYCBW++GfSWvXv3kpeXZ19jcaNIIgGuzyADyZRFvW3bNqZPn27P54Oq0Pn66z5ljxBKZLBgAdOnT6erq8ty97Njxw6mTp1q3zhsgkv8BiyTuIwtZmtPD01NTcyePTsqY+mvDomcNo3L9XMniT8uDiZPJt/wn4Yifqf9+xrjx4+nqamJ9oBEHj0uxwnXkPbOyc/3Pxff/jZcfrk30D1Rtwp0ENOmTQt2LeTksL2khD1COLsDy8iAe+8l/4tfxDv7Aubh9u3b7Z0X6emq/7WRt6Exbtw4/ySuvDzVG2HqVLZu3Wov8Xd0wBe+4G3FSWIi/O1vcMop3s/ZErAjkVK6xD/SkZWVRWpqqv9NbdzEew2//+LFi6MyFp3EtSegFC25uSSUlTEJkLGxvgqiTmHrVnLffBMBbA3osiSlZNeuXVElfghegNauXQvAfLO+3wmcdRbU1JA4Zw67d+/2besvuQTOOYdNmzaRmZkZldK7U6dOZdeuXUFlAmRzMzIlhVhTxzhHUFdHcl0dWSkpeMCvQx2ovtSzdOE4OyCEktQGNEDSSVzeOTF5Mtx9N12TJ7Nnzx57hRhZWcoYsmjwPsfYkWw0mtxrVFVV0dnZ6RL/SIYQIjg6//vfw7nnsrq9nfj4eA455JCojcdyO2+6wXqNOjWO4vnn4bbbyC8oCJrU9fX1tLW1RU2toBeYHTt2+B3fsmULQgjn1VZpaVBQwIxZs+gwlFX09qqm7K2tbN68mVmzZkXF7TV16lR6enqCFsG7kpN59PDDHf98zj4bvvpV8rOy6A34vq2trVRWVtpL/KC6r/3iF0GH/bT8Rm+EXTt3IqVkmlFN1BYIoXYUuvtZebm6Hx98kMLCQnJyctiwYYPfn+i5aus4bIJL/CZMmDDBu2UH1BbziSd4sKGBBQsWDL3KXwSw3M4D/zO2lfE/+pHzgzj9dLjpJmbMmMG2bdv8XoqWlFNDx1cCt9Nbtmxh0qRJ0bk211zD0cYCuG3bNlWmd+5c+Pe/2bx5c9RcgZpIzPOjt7eXv9XVkdRPb2TbUFAAtbWkFBRQERPjp/jSO0Pb42E//alKHgvApEmTfOfhySchOZma91SXZtst7bw8n8Xf3a1KUsfEIIRgzpw5IYnftfhHOGbMmMHWrVv9JnJXVxcfffQRRx11VNTHsnfvXjp1wMrAfzweylJTLTsCOTmWQMLdvHkzEJ2ENoDc3FxycnKCXE7RDLrz8stMfeEFwCB+w/prT0lxxsoNAe1TNi/Ge/fupbe3NzrWZUEB1NRQ9/WvM6WvzzsXAOcSHQ891Ftn34wFCxawa9cupeU37pVdRsE0242S/HyfxR/QdnLevHls2LDBjzt27NhBbGxsVOI+kcIlfhNmz55NW1ubX3T+k08+Yf/+/RxzzDFRHcvMmTO9wSGNnp4eHikvp7601FunJhqYPXs2tbW1NOhuXCh/Znx8fFQTU2bOnOm3AEkp2bp1a1SS6gA4+WTi9u6lOCFBLUAGCew29OPRIv6SkhJSU1PZtGmT95heBGwNaIZCYSE0NHDkYYcBsGbNGu9LGzduJDY21v4FKDPTkvi1+3Xt2rVe4t9uFMuzPch9++2qvzL4iN/IWl6wYAHNzc1+cbn169czderUEVWHXyMs4hdCnCSE2CKE2C6E+IHF618WQqwzfj4QQiywf6jOY67RaGL9+vXeY+8Z28YjjjgiqmPRZGYmuo0bN7J//37y09JUu78oQQevzESzevVq5s2bF9VJPWPGDDZt2uS1qioqKmhvb4+exX/RRQiPh7NLS9UcMbb964xSAtGKAQkhmDVrlt/c+NQoJ6HnsKMoKAApmfmvf/F3/Hceq1evZs6cOfbU4TcjM1MlaAUEtPU5//TTT71yz9WbNjF37lz74y2LFqnexhBk8R988MGA/yL46aefRjUuGAkGJH4hRCzwZ+BkYA5wkRBiTsDbdgHLpJQHAT8H7rd7oNHAQQcdBKjJq7F8+XLmzp1Ljs7YixJmzpxJTEyMV7UCsGrVKgBKV62CdeuiNhZNJp999hmgLO1Vq1axcOHCqI0B1OJbU1PjDTR/8sknABx66KHRGcDBB4MQnJSayqpVq/AYxP/xjh3k5uZGtQLj3LlzWbt2rXcRXLFiBVOnTo3OPD3mGPjrX4nfsYPj4+JYadSp1/PCkeuRmakeA1ycRUVFFBYWKuI3LP7lq1bxuc99zv4xbN2qeiz39ip//7e+5W1HedBBBxEbG8uKFSsAaGpqYs+ePaOX+IElwHYp5U4pZTfwGHCm+Q1Syg+klLp+wEfAyKpIFCaysrKYM2cOy5cvB6C7u5v33nuPZcuWRX0sqampzJ8/n48//th7bMWKFc402BgAEyZMoKSkhLfffhtQxdmampqiTvwnn3wyAC+//DIAH374IYmJidG7uTIy4KqrKFiwgIaGBjaNGwd/+QvLN27k0EMPjYqiR2Pp0qXU1NR4g+wrVqyImtyY2bPhyishMZH4lBTee+89+vr62LNnD7W1tc7Mi69/HVpbfdn0JhxyyCGK+I8/ntpLLqGts5PDDDeUrfjf/+CrX4WGBpXgeNddqi0jqp7UoYceyrtGtru2/Ecz8ZcAZt1YuXEsFK4AXrF6QQhxlRBipRBiZZ2FHnYk4KijjuK1116jra2N559/nvb2dk444YRhGcthhx3G//73P/bt20dbWxv33Xcfxx57rFIvvP9+1MYhhOC4447jP//5D52dnTzyyCMALFmyJGpjACXdmz9/PnfeeSdSSh588EEWLlxov1uhP9x3H+ONhhx/ePVVKk87jVVr1rAoGmoaE7Tr8b777mP37t2UlZVFj/gB1q6FtWtJSkujubmZ1157jccffxyAU4xGKLYiOVlJai0W10MOOYSNGzfSMncu/zHOgSMWv+7PsW6dcjl1diplj4Fly5axfPly6uvrecEQAWgX0IiDlLLfH+A84AHT868Afwzx3mOATUDuQP934cKFciTi1VdflYD88Y9/LBcuXChTU1Nla2vrsIzlpZdekoD80Y9+JH/3u99JQL744ovDMpbHH39cAvLmm2+WKSkpsqSkRPb19UV9HLfeeqsE5G9+8xsJyB/+8IdRH4Ps7ZWP5OTIC0He/vWvS0CuWLEiqkPo6+uTaWlpMjY2Vl5yySUSkJs3b47eACZMkBJkz8EHS0Cedtppcu7cufLwww935vN27pTyO9+R0uI7rlixQk4G+btjj5W5mZlywYIF0uPx2D+GDRukBCnvvVfK//1P/b58ud84APm1r31N5ubmysWLF9s/BiklsFIOwK8D/YRD/EuBV03Pfwj80OJ9BwE7gBnhfPBIJX6PxyPnz58v4+PjJSD//ve/D+tYxo8fLwGZkpIily1bNmxj6evrkxMnTpQxMTESkP/5z3+GZRydnZ2yoKBAAjI1NVU2NzdHfxD33KNuHZBPgjzhhBOiPwYpvYsfIA8++ODofvgZZ6hz8OUvy4suusg7jnvvvdeZz1uxQn3e889bvvzvggLZBTIf5D333OPMGDweKVNTpfz2t6V86SU1no8/9nvLlClTvOfikUcecWQYdhB/XBibghXAdCHEZKACuBD4kvkNQogJwNPAV6SUW4P/xeiBEILnnnuOn/3sZ2RmZnLxxRcP61ieeuopfv/73wNw/fXXD9tYYmJiePLJJ/njH//IzJkzOffcc4dlHElJSfzlL3/h3//+NyeddBKZOugXTRidvwD2HnEEt912W/THAHzzm99kx44d7Nu3jxtuuCG6Hz5rFrzyCjz8MDdv3owQguTkZL4cUE/HNujrbCHpxOPhwtpa1owbxwXnnMOVV17pzBiEgClTVKG2AFWPxrPPPsvtt99ORkYG50VRch0xwlkdgFOArSiL/mbj2NXA1cbvDwBNwBrjZ8AVaaRa/C5chAWPR8phcHWNGNx/v7J4d+2KzufV1KjP+9Ofgl/bulW9Fg23X12dlD09Uj7xhPrMzz5z/jMDEA6/DvQTjsWPlPJl4OWAY/eZfr8ScGiZdeFiBEIIy0DjmIGWbD75pGqM4zRCWfwdHb6KmWef7fw48vLUo+7/OwKTs8KBm7nrwoWLyLFwIbz4oq/xvdNITFSqHnMJk54eWLIEduxQGbTRkBd/8AFcc41y+dx8s28hGGVwid+FCxeDw6mn+loRRgN1dfDzn/ueP/EEbNgAJ5+suoBFYwe2bRvce68i/F/8AnJznf9MB+ASvwsXLkYHAiuwvvOOevzCF6LndtMWfnm56gFs0W5xNMAlfhcuXIwOvPEGnHGGsu6lVK6mZcsgNTV6Y9D9f++4QxWra2rq//0jFGEFd124cOFi2NHSAi+8oDJnly+HykpVLyea0K4toyufG9x14cKFCyeh22t+7nOwZQs8+CBcd110x5CdrTpv1daq5ykp0f18m+ASvwsXLkYHzL0fOjrgssuU2ieaKCjwtngEVB/eUQiX+F24cDE6EBenKqSCIuDhgBDKr9/drSp0jlKMzuXKhQsXYxPawo5W8x0r5ORAVRXs3z98YxgiXIvfhQsXowf33qsenSi7HAmSky17A4wWuMTvwoWL0YP8fDj8cIhWn+UDFK6rx4ULF6MHxxwT1SZEBypci9+FCxcuxhhc4nfhwoWLMQaX+F24cOFijMElfhcuXLgYY3CJ34ULFy7GGFzid+HChYsxBpf4Xbhw4WKMwSV+Fy5cuBhjcInfhQsXLsYYhJRyeD5YiDpgzyD/PA+ot3E4IwHudxodcL/T6MCB/J0mSinzh/KPho34hwIhxEop5aLhHoedcL/T6ID7nUYH3O/UP1xXjwsXLlyMMbjE78KFCxdjDKOV+O8f7gE4APc7jQ6432l0wP1O/WBU+vhduHDhwsXgMVotfhcuXLhwMUi4xO/ChQsXYwyjjviFECcJIbYIIbYLIX4w3OOJBEKI3UKIz4QQa4QQK41jOUKI14QQ24zHbNP7f2h8zy1CiBOHb+Q+CCEeFELUCiHWm45F/B2EEAuNc7FdCHG3EEJE+7sY47D6Pj8RQlQY12mNEOIU02sj+vsYYxkvhHhLCLFJCLFBCPFt4/hovk6hvtOovVZCiCQhxCdCiLXGd/qpcdz56ySlHDU/QCywA5gCJABrgTnDPa4Ixr8byAs4djvwA+P3HwC/MX6fY3y/RGCy8b1jR8B3+DxwKLB+KN8B+ARYCgjgFeDkEfR9fgJcb/HeEf99jLGMAw41fk8HthpjH83XKdR3GrXXyvj8NOP3eOBj4LBoXKfRZvEvAbZLKXdKKbuBx4Azh3lMQ8WZwMPG7w8DXzQdf0xKuV9KuQvYjvr+wwop5btAY8DhiL6DEGIckCGl/FCqWfsP099EFSG+TyiM+O8DIKWsklKuNn5vBTYBJYzu6xTqO4XCaPhOUkrZZjyNN34kUbhOo434S4Ay0/Ny+r/4Iw0S+J8QYpUQ4irjWKGUsgrU5AYKjOOj6btG+h1KjN8Dj48kXCuEWGe4gvRWe9R9HyHEJOAQlDV5QFyngO8Eo/haCSFihRBrgFrgNSllVK7TaCN+K7/VaNKjHiGlPBQ4GfiGEOLz/bx3tH9XCP0dRvp3uxeYChwMVAG/M46Pqu8jhEgDngKuk1Lu6++tFsdG5Pey+E6j+lpJKfuklAcDpSjrfV4/b7ftO4024i8HxpuelwKVwzSWiCGlrDQea4FnUK6bGmOrhvFYa7x9NH3XSL9DufF74PERASlljXFDeoC/4nOxjZrvI4SIRxHkv6SUTxuHR/V1svpOB8K1ApBSNgNvAycRhes02oh/BTBdCDFZCJEAXAg8P8xjCgtCiFQhRLr+HTgBWI8a/6XG2y4FnjN+fx64UAiRKISYDExHBXBGIiL6Dsb2tVUIcZihPrjE9DfDDn3TGTgLdZ1glHwfYwx/AzZJKX9vemnUXqdQ32k0XyshRL4QIsv4PRk4HthMNK7TcESzh/IDnIKK6O8Abh7u8UQw7imoiPxaYIMeO5ALvAFsMx5zTH9zs/E9tzCMKpGA7/Fv1Ja6B2VpXDGY7wAsQt2kO4A/YWSRj5Dv80/gM2CdcbONGy3fxxjLkait/jpgjfFzyii/TqG+06i9VsBBwKfG2NcDtxjHHb9ObskGFy5cuBhjGG2uHhcuXLhwMUS4xO/ChQsXYwwu8btw4cLFGINL/C5cuHAxxuASvwsXLlyMMbjE78KFCxdjDC7xu3DhwsUYw/8DkAIU2SB1mtcAAAAASUVORK5CYII=",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "##assymetric looks great, but we need to compute the dtw with with the reference as the query and the force as the reference\n",
+ "tw = dtw(t_ref,t_for, keep_internals=True, step_pattern='mori2006') #we treat the reference as the query and the force as the target, such that we can apply the warp afterwards\n",
+ "print(tw.distance)\n",
+ "warp_2r = warp2(tw,index_reference=True) #then we compute the warp for the \"reference\" (which is actually the for), so that we can apply the warp to the force to get it into the reference space\n",
+ "warp_r2 = warp2(tw,index_reference=False) #then we compute the warp for the \"reference\" (which is actually the for), so that we can apply the warp to the force to get it into the reference space\n",
+ "print(warp_2r.shape)\n",
+ "print(warp_r2.shape)\n",
+ "\n",
+ "plt.figure()\n",
+ "plt.plot(t_ref,'k')\n",
+ "plt.plot(t_for[warp_2r],'r--')\n",
+ "\n",
+ "plt.figure()\n",
+ "plt.plot(t_ref[warp_r2],'k')\n",
+ "plt.plot(t_for,'r--')\n",
+ "\n",
+ "print(np.sum(np.abs(t_ref-t_for[warp_2r])))\n",
+ "print(np.sum(np.abs(t_ref[warp_r2]-t_for)))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 78,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 78,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 80,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "82.62227842319834\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "execution_count": 80,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/opt/quarantine/miniforge/envs/py3p9/lib/python3.9/site-packages/dtw/warp.py:30: RuntimeWarning: invalid value encountered in divide\n",
+ " return numpy.arange(len(n)), s/n\n"
+ ]
+ },
+ {
+ "ename": "IndexError",
+ "evalue": "index -9223372036854775808 is out of bounds for axis 0 with size 2880",
+ "output_type": "error",
+ "traceback": [
+ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+ "\u001b[0;31mIndexError\u001b[0m Traceback (most recent call last)",
+ "\u001b[0;32m/tmp/ipykernel_2739419/4178008954.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;31m# plt.plot(t_for, 'r:',alpha=0.5)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_ref\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m'k'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_for\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mwarp_q\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m'r'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;31mIndexError\u001b[0m: index -9223372036854775808 is out of bounds for axis 0 with size 2880"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "warp_q = warp(tw,index_reference=False) #query -> reference\n",
+ "warp_r = warp(tw,index_reference=True) #reference -> query\n",
+ "# plt.plot(t_for, 'r:',alpha=0.5)\n",
+ "plt.plot(t_ref,'k')\n",
+ "plt.plot(t_for[warp_q],'r') \n",
+ "\n",
+ "plt.figure()\n",
+ "plt.plot(t_for,'r')\n",
+ "plt.plot(t_ref[warp_r],'k')\n"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3.9.7 ('py3p9')",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.9.7"
+ },
+ "orig_nbformat": 4,
+ "vscode": {
+ "interpreter": {
+ "hash": "7c7e49c5ac55b695b895765a955ba08ff94d8ec7c8a6db901ede79032157f881"
+ }
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/spft/ComputingBxMetrics_testing.ipynb b/spft/ComputingBxMetrics_testing.ipynb
index c603f7e..3f1d303 100644
--- a/spft/ComputingBxMetrics_testing.ipynb
+++ b/spft/ComputingBxMetrics_testing.ipynb
@@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "code",
- "execution_count": 171,
+ "execution_count": 1,
"id": "3f3dfe38-a290-420d-8f95-a7b76745d158",
"metadata": {},
"outputs": [
@@ -303,7 +303,7 @@
},
{
"cell_type": "code",
- "execution_count": 47,
+ "execution_count": 2,
"id": "1bc9a59a-4a18-4ca1-9d1d-90a571e46c64",
"metadata": {},
"outputs": [],
@@ -324,7 +324,7 @@
},
{
"cell_type": "code",
- "execution_count": 173,
+ "execution_count": 3,
"id": "01086eca",
"metadata": {},
"outputs": [
@@ -1310,67 +1310,214 @@
},
{
"cell_type": "code",
- "execution_count": 42,
+ "execution_count": 40,
"id": "089373ef",
"metadata": {},
"outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Step pattern recursion:\n",
+ " g[i,j] = min(\n",
+ " g[i-3,j-2] + d[i-2,j-1] + d[i-1,j ] + d[i ,j ] ,\n",
+ " g[i-1,j-1] + d[i ,j ] ,\n",
+ " g[i-2,j-3] + d[i-1,j-2] + d[i ,j-1] + 0 * d[i ,j ] ,\n",
+ " ) \n",
+ "\n",
+ "Normalization hint: N\n",
+ "\n"
+ ]
+ },
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/opt/quarantine/miniforge/envs/py3p9/lib/python3.9/site-packages/dtw/stepPattern.py:339: UserWarning: marker is redundantly defined by the 'marker' keyword argument and the fmt string \"o\" (-> marker='o'). The keyword argument will take precedence.\n",
+ " ax.plot(-x[ss, 1], -x[ss, 2], 'o', color=\"black\", marker=\"o\", fillstyle=\"none\")\n",
+ "/opt/quarantine/miniforge/envs/py3p9/lib/python3.9/site-packages/dtw/stepPattern.py:339: UserWarning: marker is redundantly defined by the 'marker' keyword argument and the fmt string \"o\" (-> marker='o'). The keyword argument will take precedence.\n",
+ " ax.plot(-x[ss, 1], -x[ss, 2], 'o', color=\"black\", marker=\"o\", fillstyle=\"none\")\n",
+ "/opt/quarantine/miniforge/envs/py3p9/lib/python3.9/site-packages/dtw/stepPattern.py:339: UserWarning: marker is redundantly defined by the 'marker' keyword argument and the fmt string \"o\" (-> marker='o'). The keyword argument will take precedence.\n",
+ " ax.plot(-x[ss, 1], -x[ss, 2], 'o', color=\"black\", marker=\"o\", fillstyle=\"none\")\n"
+ ]
+ },
{
"data": {
"text/plain": [
- "(121,)"
+ ""
]
},
- "execution_count": 42,
+ "execution_count": 40,
"metadata": {},
"output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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",
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+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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/bxrM1At6GBvITkkBCHEGecWVRMSnkJ1XSm9/HxJjw+jQyjlmxdqyt7/bw7/W7AbgxVtkwM75kAIQoh5HiyqIiEthf34Z/Tv4sjwmFH9f55kVa4u01vxn7R7e+nYPSsErtw1lgsxYOC9SAEKc5nBBORFxKRw6Vc6gTq1YHhOKn49zzYq1NVprXv06i3k/7MVFwesThnPzCJmxcL6kAISo49DJmkHhuYUVDA1szdJo5xsUbmu01rzwRSYJ6/bj5qJ4c+IIrh8qMxYagxSAELX2nSglIi6FY8WVjOzWhsXRIbSyk3GBjspq1Tz72Q6WbjiIu6tibsRIrh7c0ehYDkMKQAhgz/ESIuJTOFFSRUgPPxZOG01LOxoX6IisVs2sT7eTtDEHDxmw0yTkN1w4vcyjxUTGp3CyzMQFvdsRPzWYFh7y1DCSxap59MNtfLTpMJ5uLsRNCWZsP5mx0Njkt1w4tYzcIiITUigsNzO2nz8LJo/Cy90+J0Y5imqLlb9/sJVVW47g7e5KQlQwF/Rub3QshyQFIJzWlpxCpiSkUFxZzRUDApg7aaQs/gYzW6w8sHIzX24/RktPNxZNG83oHn5Gx3JYUgDCKaUfPMXUhamUVlUzbnAH5oSPxMNNBuQZqWbAzmbWZh7H18uNpdEhMmCniUkBCKeTvO8k0YtTKTdZuGFoJ/5z53C7nhXrCCrNFu5ens4PWSdo7e3O8ukyYKc5SAEIp7JuTz4xS1OpNFu5dUQXXr19KG6y+BuqwmQhdmka67LzZcBOM5MCEE7jh6w8ZixLx1RtZUJwIC/dOhRXB5kVa6/KqqqZviSV5H0yYMcIUgDCKazdeZx7V9QMCo8M68ZzNwU5zKBwe1VSO2AnTQbsGEYKQDi8r7Yf5f6kzVRbNdMu7MHTNwySiVEGK6owM2XhRrbmFMqAHQNJAQiHtmpLLg+9vxWLVXPX2F48fu0AWfwNVlBmYvLCFDJyiwls601SrAzYMYoUgHBYH6Yf5tEPawaF3395Hx66qp8s/garO2CnR7sWJMaGyYAdA0kBCIe0cuMhnvhkO1rDQ1f1429X9DU6ktPLK65kUnwKe2TAjs2QAhAOZ9mGAzy1agcAj10zgHsu7W1wInGsqJKIuGT2yYAdmyIFIBxKwrr9PP+5DAq3JTJgx3ZJAQiHMe+HvbyyumZQ+PPjBzN5TA9jAwkZsGPjpACEQ3jr2z28/s1ulIKXbhnCxBAZFG60/fllRMQlc7SokhHd2rBEBuzYHCkAYde01rz+zW7mfJeNi4LXbh/GbaMCjY7l9LLzSgiPkwE7tk4eEWG3tNa8/NUu5v+0D1cXxesThjF+uAwKN9quY8VMipMBO/ZAHhVhl7TWPPf5ThatP4Cbi2JO+AiuHSKDwo2WkVvE5IQUCsrNXNy3PXFTgmXGgg2TAhB2x2rVPLUqgxUph/BwdWHupJFcNaiD0bGc3tacQibXDti5fEAA78iAHZsnBSDsisWqeeLjbbyfdhgPNxcWTB7Fpf1lULjR0g+eImphKiUyYMeuSAEIu1FtsfLoh9v4eHMuXu4uxE8ZzUV9ZVas0VL2nWSaDNixS1IAwi6YLVb+770tfL7tKC08XFkYNZqwXu2MjuX01mfnM31JzYCdW0Z04TUZsGNXpACEzTNVW7k/aRNf7zhOS083Fk8bTbAMCjfcj7tPMGNpGlXVVu4YFcjLt8mAHXsjBSBsWqXZwswVm/h2Vx6tvNxYOj2U4V3bGB3L6dUdsDMptBvPj5cBO/ZICkDYrEqzhRnL0vlp9wnatKgZFB7URQaFG211xlHuS6wZsBN1QQ+euVEG7NgrKQBhk8pN1cQsSeN/e0/SzseD5TGhDOwkg8KN9tnWIzz43hYZsOMgpACEzSmtqiZ6USobD5zC39eTxJhQ+sqgcMN9vOkwD39QM2Dnvsv68PerZcCOvZMCEDaluNJM1MKNbDpUSMdWXiTGhtJLBoUb7v3UHB77eJsM2HEwUgDCZhSVm5m8MIVth4vo0sabxNhQureTQeFGW5Z8kKc+zQBkwI6jkQIQNuFUmYnI+BR2Hi2mq1/NoPDAtjIo3GgL1+3nORmw47CkAIThTpTUDArPOl5Cz/Y+JMaG0qm1DAo32vwf9/LSVzJgx5EZ8pE9pdQdSqkdSimrUirYiAzCWElJSQQFBeHq6krPvgPY9P3n9AloyXszwmTxN8jMmTPx8PBAKYWrmzsP/98DKAUv3zpEFn8DpX37GUcS7uUfNwwmKCiIpKSkRrtto7YAMoBbgfkG3b8wUFJSErNmzeKVN99hzg5Xdm9No3jNHCbcEkRAq0uMjueUZs6cybx589BaA2C1VFO6+Qsu7N2OiSHXG5zOeSUlJfHfhNfxu/Je7o+4gQta5jN9+nQAwsPDz/v21S8PuBGUUj8AD2ut0xry/cHBwTotrUHfKmxYUFAQT81+jbezPMk5VcHgzq24q08F/3j0ITIyMoyO55Q8PDwwm81/uN7d3R2TyWRAIgE1z5Uroh9nVV5b7r6kN49fO4Dvv/+e+++//5yeK0qpdK31H/a22PwxAKXUDGAGQLduMufVEWRmZvJGhitHSyoYFtiapdGhtHCHWzIzjY7mtOpb/M92vWgemZmZuBX5AZoOrTwBuOiii8hspOdKkx0DUEqtVUpl1PNn/LncjtZ6gdY6WGsd7O/v31RxRTPZe6IUz/bd2J+RzqjubVkWE0rrFu6sW7eOgQMHGh3Pabm71z+s/UzXi6a3NacQ93ZdObZ7K5f19yc8pOYFcGM+V5qsALTWV2qtg+r5s6qp7lPYtt3HS7hzfjI+oXdQuvZtpvcqx9sVvv/+e6ZPn86sWbOMjui0YmNj//CpXqUUsbGxBiVybukHTxEZn4Jv2ATKv32biV2LccXa6M8Vm98FJBzDziPFRCakcKrMxNU33cpVdwzl0b8/SGZmJgMHDmT27NmNclBL/DVz584FIC4uDrPZjLu7O7Gxsb9eL5pPyr6TRC9OpcxkYcKdEwm7cxh/f7BpniuGHARWSt0CzAH8gUJgi9Z63J/9nBwEtk8ZuUVEJqRQWG7mkn7+zJ88SmbFClGP9dn5xCxJo8Js4ebhnfnXHcMaZcCOTR0E1lp/AnxixH2L5rX5UAFTFm6kpLKaKwcGMHfSSDzdZPEX4nR1B+zcPiqQV5phwI7sAhJNJvXAKaYtSqW0qpprgzry5sQRMihciHrUHbATHtKN2Tc3z4AdKQDRJDbsPcn0JTWDwm8c1pn/TGicTVkhHE3dATtTx3Tn2ZsGN9tptqUARKP7ec8JYpemUWm2cuvILrx2+zCZFStEPeoO2Im9uCf/uG5gs85YkAIQjer7XXnctTwdU7WViaO78uItQ2RWrBD1qDtg595Le/PIuP7NPmBHCkA0mjU7jjEzcRNmiyYyrBvP3SSDwoWoT90BOw9e2ZcHruhryHS1P90pq5QaVM91lzZFGGG/vth2lHtX1Cz+0Rf25PnxsvgLUZ9lyQd59KOaxf+Rcf158ErjRms25Kjc+0qpx1QNb6XUHOClpg4m7MeqLbncn7SJaqvm7kt689QNzbsfUwh7sXDd/l+nqz15/UBmXtbH0DwNKYBQoCvwPyAVOAJc2JShhP34MP0wD763BauGv13Rl8euaf79mELYg/k/7v11uto/bxpsE9PVGnIMwAxUAN6AF7Bfa21t0lTCLiRtPMQ/PtmO1vD3q/pxvwwKF6Jec77dw7+/2Q3Ai7cMISLUNs5s3JAtgFRqCmA0cBEQrpT6sElTCZu3dMMBnvi4ZvF/4toBsvgLUQ+tNa+vyeLf3+xGKXj19qE2s/hDw7YAptcZ2HIMGK+UmtyEmYSNi/95Hy98UXM+8qdvGET0RT0NTiSE7dFa8/LqXcz/cR8uCl6fMJybR3QxOtbvNKQA0pVSkUAvrfVzSqluQFYT5xI26p0fsnl1dc3D/8LNQUSGdTc4kRC2R2vN859nsnD9ftxcFG9OHMH1QzsZHesPGrIL6B1gDPDL+UdLADlHrJPRWvPm2j28ujqrZlP2tqGy+AtRD6tV8/SqHSxcvx93V8U7k0ba5OIPDdsCCNVaj1RKbQbQWhcopTyaOJewIVpr/rUmi7nf78VFwb8nDOOWEYFGxxLC5litmn98sp2VqTl4uLkwP3IUlw0IMDrWGTXoXUBKKVdAAyil/AF5F5CT0Frz4peZxP28H1cXxRt3DufGYZ2NjiWEzbFYNY98uJWPN+Xi6eZC3JRgxvaz7TG2DSmAt6g5d3+AUmo2cDvwZJOmEjZBa80/P9vJ4v8dwN1VMSd8BNcE2eamrBBGqrZY+b/3t/LZ1iN4u7uSEBXMBb3bGx3rT/1pAWitVyil0oErAAXcrLVunJH0wmZZrZonV2WQmHIID1cX5kWO5IqBHYyOJYTNMVVbeWDlZr7KOEZLTzcWTRvN6B5+RsdqkDMWgFKq7n9BHpBU92ta61NNGUwYx2LVPP7RNj5IP4ynmwsLpgRziY1vygphhKpqCzNXbGJtZh6+Xm4sjQ5hRLe2RsdqsLNtAaRTs99fAd2Agtp/twEOAfLmbwdUbbHy8Adb+XRL7abs1GAu6GP7m7JCNLdKs4W7lqXz4+4TtPZ2Z/n0UIYEtjY61jk5YwForXsCKKXeBf6rtf6y9vK1wJXNE080J7PFyoMrt/DF9qP4eLiyMGo0ob3aGR1LCJtTbqomdmka67NP4ufjwfLpoQzq3MroWOesIZ8DGP3L4g+gtf4KuKTpIgkjmKqtzFyxiS+2H8XX042l00Nl8ReiHqVV1UQtSmV99knat/Rk5Ywwu1z8oWHvAspXSj0JLKdml1AkcLJJU4lmVWm2cO+KTXy3K49WXm4smx7KsK5tjI4lhM0prjQzbVEq6QcL6NDKk8TYMHr7tzQ61l/WkC2AcMCfmreCfgoE8NungoWdqzBZiF2axne78mjbwp2kGWGy+AtRj6JyM5PjU0g/WEDn1l68N2OMXS/+0LC3gZ4CHmiGLKKZlZuqmb44jQ37TtK+pQcrYsLo39HX6FhC2JxTZSYmJ6Sw40gxgW29SYoNo6tfC6Njnbc/LQClVD/gYaBH3e/XWl/edLFEUyupNBO9OJXUAwUE+HqSGBtKnwBZ/IU4XX5pFZHxKew6VkKPdi1IjA2jcxtvo2M1ioYcA/gAeBeIByxNG0c0h6IKM1GLNrL5UCGdWnuRGBtGz/Y+RscSwubkFVcSEZ9Cdl4pvf19SIwNo0MrL6NjNZqGFEC11npekycRzaKw3MTkhI1szy2iSxtvVs5wjE1ZIRrb0aIKIuJS2J9fRv8OviyPCcXf19PoWI2qIQXwmVLqXmoOAlf9cqV8Etj+nCytIjJhI5lHi+nm14KkGWF0cZBNWSEa0+GCciLiUjh0qpxBnVqxPCYUPx/HOwlyQwpgau3fj9S5TgPGTzQWDZZXUklkfAq7j5fSq33NpmzH1o6zKStEYzl4soyIuBRyCysYGtiapdEhtGnheIs/NOxdQHLKBzt3vLiS8Lhk9p0oo29AS1bEhhLgK4u/EKfbd6KUiLgUjhVXMqJbG5ZEh9DKy93oWE3mbCeDu1xr/Z1S6tb6vq61/rjpYonGcqSwgoi4ZA6cLGdAR19WxITSrqVj7ccUojHsOV5CRHwKJ0qqCOnhx8Jpo2np2ZCdJPbrbP91lwDfATfW8zUNSAHYuJxT5YTHJXO4oIKgLq1YFh1KWwfcjynE+co8WkxkfAony0xc0Lsd8VODaeHh2Is/nP1kcM/U/j2t+eKIxnIgv4yIuGSOFFUyvGvNpmxrb8fdlBXir8rILSIyIYXCcjMX921P3JRgvNxdjY7VLBy/4pxQdl4pEXHJ5JVUEdy9LYumjcbXgfdjCvFXbckpZEpCCsWV1Vw+IIB3Jo10msUfpAAcTtaxEibFJ5NfaiKslx8JU0fj4+D7MYX4K9IPnmLqwlRKq6oZN7gDc8JH4uHWkNOjOQ5ZGRzIziPFRCakcKrMxMV927NgcjDeHs7zakaIhkred5LoxamUmyzcMLQT/7lzOO6uzrX4QwPOBqqUaqGUekopFVd7ua9S6oamjybOJjo6moCAAIKCggDYdriQ8LhkTpWZuKy/P3FTZPEXAv74XFm3J5+oRRspN1m4dUQX3nDSxR8adjroRdR8AnhM7eXDwAtNlkg0SFRUFKtXrwZg06ECJsWlUFRh5qpBHXh38iin2o8pxNnUfa58n5VH9JJUKs1WJgQH8todw3Bz0sUfGlYAvbXWrwJmAK11BTWzgYWBxo4di5+fHxVmC5PjUyipqua6IR15Z9JIPN1k8RfiF788V0qrqrlraTqmaiuTQrvx8q1DcXVx7qWsIQVgUkp5U/Pef5RSvalzTiBhnPSDpzhcUEGZycL44Z15a+IIp92UFeJsftiVx5HCSkwWK1EX9OCFm4NwcfLFHxp2EPgZYDXQVSm1ArgQiGrKUOLP/bT7BI98sA2tNbePCuSV2+TVjBD1WbUll6f/uwPQ3DW2F49fOwCl5LkCDTsX0DdKqU1AGDW7fh7QWuc3eTJxRt/tOs7dyzZhslhp7e3Oq7cNlVczQtTjw/TDPPrhVqxa4+fjKYv/aRryLqBbqJkJ8IXW+nOgWil1c5MnE/VanXGMu5alY7JYuW1EFzq08pLFX4h6rNx4iEc+3IpVw/SLetK+pYcs/qdpyA7jZ7TWRb9c0FoXUrNbSDSzz7cdYWbiJswWTasNc3n/mSiysrIIDAwkISHB6HhC2IxlGw7w+Mfb0Rr8U99lwcMR8lypR0OOAdRXEvIBsmb26eZcHnp/C1YN917am0de+kJezQhRj4R1+3n+850APHn9QGJe/szgRLarIQt5mlLqdWAuNe8Euh9Ib9JU4nfeT8vhsY+2oTU8eGVfHriiryz+QtRj3g97eWX1LgCeHz+YyWN6GBvIxjVkF9D9gAl4j5oB8ZXAzKYMJX6zIuUgj35Ys/g/Mq4/D17ZTxZ/Ierx1rd7eGX1LpSCl28dIot/AzTkXUBlwOPNkEWcZvH6/Tz7Wc2m7KzrBhI7VqZwCnE6rTWvf7ObOd9l46Lg1duHcfuoQKNj2YU/LQClVD/gYaBH3e/XWl/edLFE3E/7mP1lJgDP3jiIqAtlMqcQp9Na8/JXu5j/0z5cXRSvTxjG+OFdjI5lNxpyDOAD4F0gHrA0bRwBMPf7bF77OguAF28ZQkRoN4MTCWF7tNY89/lOFq0/gJuLYk74CK4d0snoWHalIQVQrbWe1+RJBFpr3li7hze/3YNS8MptQ5kQ3NXoWELYHKtV89SqDFakHMLD1YW5k0Zy1aAORseyOw0pgM+UUvcCn1DnHEBa61NNlsoJaa159ess5v2wFxcFr08Yzs0jZFNWiNNZrJonPt7G+2mH8XBzYf7kUVzWP8DoWHapIQUwtfbvR+pcpwE5ItlItNbM/iKT+HX7cXVRvDVxBNcPlU1ZIU5XbbHy6Ifb+HhzLl7uLsRPGc1FfdsbHctuNeRdQHL0sQlZrZp/fraDJRsO4u6qeDtiJOMGdzQ6lhA2x2yx8n/vbeHzbUdp4eHKwqjRhPVqZ3Qsu9bQiWBPKqUW1F6WiWCNxGrVzPp0O0s2HPx1U1YWfyH+yFRt5b7ETXy+7SgtPd1YGh0ii38jaOhEMBNwQe1lmQjWCCxWzSMfbiNpYw6ebi7ETwnm8gFyEEuI01WaLdyzPJ2vdxzH18uN5TGhBPfwMzqWQ5CJYAaotlh56P0tfLTpMN7uriyaNpqx/fyNjiWEzak0W5ixLJ1vd+XRpoU7SbFhDO/axuhYDqMhB4FlIlgjMlusPLByM19uP4aPhyuLpoUQ0lNezQhxunJTNTFL0vjf3pO08/FgeUwoAzu1MjqWQ5GJYM2oqtrCfYmb+WZnzabskugQRnZra3QsIWxOaVU10YtS2XjgFP6+niTGhNK3g6/RsRzOWQtAKeUCtAVuRSaCnZdf9mN+n3WC1t7uLJ8eypDA1kbHEsLmFFeaiVq4kU2HCunYyovE2FB6+bc0OpZDOmsBaK2tSqn7tNbvA180UyaHU2GyELs0jXXZ+fj5eLB8eiiDOsumrBCnKyo3M3lhCtsOF9GljTeJsaF0b+djdCyH1ZBdQN8opR6m5nTQZb9cKZ8EbpiyqmqmL0kled8p2rf0JDE2lH6yKSvEH5wqMxEZn8LOo8V09fMmKTaMwLYtjI7l0BpSANG1f9edASCfBG6Akkoz0xalknawgABfTxJjw+gTIJuyQpzuREkVkfEpZB0voWd7HxJjQ+nU2tvoWA5PPgncRIoqzExduJEtOYV0bu1FYmwYPdrLpqwQpzteXElEXDJ7T5TRJ6AliTGhBLTyMjqWU5BPAjeBgjITk+KT2ZJTSGBbb967a4ws/kLU40hhBXfO38DeE2UM6OjLyhlhsvg3I/kkcCPLL60iPC6ZjNxierRrwft3jaGrn+zHFOJ0OafKuXPBBg6cLGdw51YkxYbRvqWn0bGcinwSuBHllVQSviCZXcdK6OXvw3t3jaFzG9mPKcTpDp4sY+KCZHJOVTAssDWJMWG09fEwOpbTkU8CN5JjRTX7Mffll9GvQ0tWxITh7yuvZoQ43d4TpUTEJXO8uIpR3duyaNpoWnm5Gx3LKckngRtBbmEFEXHJHDxZzsBOrVg+PYR2sikrxB/sPl5CRFwK+aVVhPT0Y2HUaFp6NmQZEk3hjP/nlVIXaq3XAz8hnwQ+o0MnywmPSya3sIKhga1ZGh1CmxayKSvE6XYeKSYyIYVTZSYu7NOOuCnBtPCQxd9IZ/u//xYwCtigtR6JfBL4D/bnlxERl8zRokpGdGvDkugQ2ZQVoh7bDxcRmZBCUYWZS/r5M3/yKLzcXY2O5fTOVgBmpdQioItS6q3Tv6i1/lvTxbJ92Xk1m7J5JVWM7tGWRdNCZFNWiHpsPlTAlIUbKams5sqBAcydNBJPN1n8bcHZVqwbgCuBy4H05oljH7KOlTApPpn8UhNjerUjIUo2ZYWoT+qBU0xblEppVTXXBnXkzYkj8HBryJsPRXM446pVu59/pVIqU2u9tRkz2bSM3CImJ6RQUG7m4r7tWTA5GG8PeTUjxOk27D3J9CWplJss3DisM/+ZMAw3V1n8bUlDHo0KpdS3SqkMAKXUUKXUk02cyyZtzSkkIi6ZgnIzlw8IIG6KLP5C1OfnPSeYtngj5SYLt47owht3DpfF3wY15BGJA57gtw+CbQMmNmUoW5R+sIDI+BSKK6sZN7gD70bKQSwh6vP9rjymL0mj0mzlzuCuvHbHMFxd5LOjtqghO65baK03KvW7B7C6ifLYpJR9J4lenEqZycL1Qzvxxp3DcZdXM0L8wZodx5iZuAmzRRMZ1o3nbgrCRRZ/m9WQAsiv/fTvL58Evh042qSpbMj67HxilqRRYbZwy4guvHb7UNmUFaIeX2w7ygMrN1Nt1URf2JOnbhjIaS8chY1pSAHMBBYAA5RSucB+YFKTprIRP+4+wYylaVRVW7ljVCAv3zZUNmWFqMeqLbn833tbsGq4+5LePHZNf1n87UBD5gHsA65USvlQc8ygArgTONjE2Qy1dudx7l2xCZPFyqTQbjw/XjZlhajPh+mHeeTDrWgNf7u8D/93VT9Z/O3EGfdlKKVaKaWeUEq9rZS6CigHpgLZwITmCmiE1RlHuXt5OiaLlagLevDCzbL4C1GfpI2Hfl38/35VPx66Wl7525OzbQEsAwqADUAs8CjgAdystd7S9NGM8dnWIzz43hYsVs2Msb144toB8gstRD2WbjjA06t2APDEtQO465LeBicS5+psBdBLaz0EQCkVD+QD3bTWJc2SzAAfbzrMwx9sxarhvsv68PerZVNWiPrE/7yPF77IBODpGwYRfZFMjrVHZz0X0C//0FpblFL7HXnxfz81h8c+3obW8NBV/fjbFX2NjiSETXrnh2xeXZ0FwAs3BxEZ1t3gROKvOlsBDFNKFdf+WwHetZcVoLXWrZo8XTNZnnyQJz/NAOCxawZwz6WyKSvE6bTWvPVtNv9Zuxul4JVbhzJhdFejY4nzcLZzATnFx1wXrd/PPz/bCcCT1w8k5uJeBicSwvZorfnXmizmfr8XFwX/umMYt44MNDqWOE9OfQrL+T/u5aWvdgHw3PjBTBnTw9hAQtggrTUvfplJ3M/7cXVRvHHncG4c1tnoWKIROG0BzPl2D//+pmZT9sVbhhAe0s3oSELYHK01//xsJ4v/dwB3V8Wc8BFcE9TJ6FiikThdAWit+c83u3nru2xcFLx6+zBuHyWbskKczmrVPLkqg8SUQ3i4ujAvciRXDOxgdCzRiJyqALTWvLI6i3d/3Iuri+L1CcMYP7yL0bGEsDkWq+bxj7bxQfphPN1cWDAlmEv6+RsdSzQyQ85qppR6TSm1Sym1TSn1iVKqTVPd18yZM/Hw8EAphZu7B7NnPYybS82mrCz+QvwmKSmJoKAgXF1d6dC9L4uXrcDL3YWFUaNl8XdQRp3W8hsgSGs9FNhNzbyBRjdz5kzmzZuH2VzzkQarpZrSzV8waP8HXDdE9mMK8YukpCRmzZrFf954k9iF/8PtoukU/byMSe1yuLBPe6PjiSaitNbGBlDqFuB2rfWfnmE0ODhYp6WlNfi2PTw8fl3863J3d8dkMp1TTiEcWVBQEK+/8SYfHmnNmp3H8fV0474BVcyZ/Q8yMjKMjifOk1IqXWsdfPr1tnAMIBp470xfVErNAGYAdOt2bu/UqW/xP9v1QjirzMxMEg+04Ifs47TycmPZ9FAGdfTh3shbjI4mmlCT7QJSSq1VSmXU82d8ne+ZRc10sRVnuh2t9QKtdbDWOtjf/9z2Q7q7u5/T9UI4owqTBd+OPVj97Q+0beFOYmwYw7q2Yd26dQwcONDoeKIJNVkBaK2v1FoH1fNnFYBSaipwAzBJN9F+qNjY2D+czE0pRWxsbFPcnRB2p9xUTfTiVNxH3UbB12/x4GAT/QNa8P333zN9+nRmzZpldETRhAzZBaSUugZ4DLhEa13eVPczd+5cAOLi4jCbzbi7uxMbG/vr9UI4s5JKM9GLU0k9UEDP0KsJv24Arz3zONETxjNw4EBmz55NeHi40TFFEzLkILBSKhvwBE7WXpWstb77z37uXA8CCyHqV1RhJmrRRjYfKqRTay8SY8Po2d7H6FiiidjUQWCtdR8j7lcIAYXlJiYnbGR7bhFd2nizckYYXf1aGB1LGMAW3gUkhGgmJ0uriEzYSObRYrr5tSAxNpTAtrL4OyspACGcRF5JJZHxKew+Xkqv9j4kxobRsbWX0bGEgaQAhHACx4srCY9LZt+JMvoGtGRFbCgBvrL4OzspACEc3JHCCiLikjlwspwBHX1ZERNKu5aeRscSNkAKQAgHlnOqnPC4ZA4XVBDUpRXLokNp6+NhdCxhI6QAhHBQB/LLiIhL5khRJcO6tmFpdAitveVT8OI3UgBCOKDsvFIi4pLJK6kiuHtbFk0bja+XLP7i96QAhHAwWcdKmBSfTH6pibBefiRMHY2PpzzVxR/Jb4UQDmTnkWIiE1I4VWbioj7tiZsSjLeHq9GxhI2SAhDCQWw7XMjkhI0UVZi5tL8/70aOwstdFn9xZlIAQjiATYcKmJqwkZKqaq4a1IG3I0bg6SaLvzg7KQAh7FzqgVNELdxImcnCdUM68ubEEbi7GjXtVdgTKQAh7Nj/9uYzfXEaFWYL44d35t93DMNNFn/RQFIAQtipn3afIHZpGlXVVm4bGcirtw/F1UX9+Q8KUUsKQAg79N2u49y9bBMmi5XwkK7MvnkILrL4i3MkBSCEnVmdcYz7kzZhtmimjOnOszcOlsVf/CVSAELYkc+3HeGBlVuwWDUxF/Vk1vUD/zD3WoiGkgIQwk58ujmXh97fglXDPZf25tFx/WXxF+dFCkAIO/B+Wg6PfbQNreGBK/ry4JV9ZfEX500KQAgbtyLlILM+yQDgkXH9mXmZjNQWjUMKQAgbtnj9fp79bCcAs64bSOzYXgYnEo5ECkAIGxX30z5mf5kJwLM3DiLqwp4GJxKORgpACBs09/tsXvs6C4DZtwQxKbS7wYmEI5ICEMKGaK15Y+0e3vx2D0rBK7cNZUJwV6NjCQclBSCEjdBa8+rXWcz7YS8uCv49YRi3jAg0OpZwYFIAQtgArTWzv8gkft1+XF0Ub04czg1DOxsdSzg4KQAhDGa1av752Q6WbDiIu6tiTvhIrgnqaHQs4QSkAIQwkNWqmfXpdpI25uDh6sK8yJFcMbCD0bGEk5ACEMIgFqvm0Q+38dGmw3i6uRA3JZix/fyNjiWciBSAEAaotlj5+wdbWbXlCN7uriRMDeaCPu2NjiWcjBSAEM3MbLHywMrNfLn9GD4eriyaFkJITz+jYwknJAUgRDOqqrZwX+Jmvtl5HF9PN5ZMD2Fkt7ZGxxJOSgpAiGZSabZwz/J0vs86QWtvd5ZND2FoYBujYwknJgUgRDOoMFmIXZrGuux8/Hw8WDY9hMGdWxsdSzg5KQAhmlhZVTXTl6SSvO8U7Vt6siImlP4dfY2OJYQUgBBNqaTSzLRFqaQdLCDA15PE2DD6BLQ0OpYQALgYHUAIRxEdHU1AQABBQUEAFFWYmZywkbSDBXRu7cX7d42RxV/YFCkAIRpJVFQUq1evBqCgzMSk+GS25BQS2Nab9+4aQ4/2PgYnFOL3pACEaCRjx47Fz88Pi1UTHpdMRm4x3du14L27xtDVr4XR8YT4AzkGIEQjyi+tIqegnIpjJfTy9yEpNowOrbyMjiVEvaQAhGgkx4oquT9xM6ZqK/06tGRFTBj+vp5GxxLijKQAhGgEuYUVRMQlk1NQjqebK0mxYbRrKYu/sG1SAEKcp0MnywmPSya3sIL+HXw50tZbFn9hF+QgsBDnYX9+GXcu2EBuYQXVa//Djnf/Rvae3QQGBpKQkGB0PCHOSrYAhPiLsvNKiIhLIa+kitE92rJo/WpaespTStgP+W0V4i/IOlbCpPhk8ktNjOnVjoSoYFp4yNNJ2Bf5jRXiHGXkFjE5IYWCcjMX923PgsnBeHu4Gh1LiHMmBSDEOdiaU8jkhBSKK6u5fEAA70waiZe7LP7CPkkBCNFA6QcLiFq4kZKqaq4e1IG3I0bi4SbvoxD2SwpAiAZI2XeS6MWplJksXD+kE29MHI67qyz+wr5JAQjxJ9Zn5xOzJI0Ks4Wbh3fmX3cMw00Wf+EApACEOIsfd59gxtI0qqqt3D4qkFduG4qrizI6lhCNQgpAiDNYu/M4967YhMliJSK0Gy+MD8JFFn/hQKQAhKjH6oyj3Je4mWqrJuqCHjxz4yCUksVfOBYpACFO89nWIzz43hYsVk3sxT35x3UDZfEXDkkKQIg6Pt50mIc/2IpVw8zLevPw1f1l8RcOSwpAiFrvp+bw2Mfb0Br+78p+/O2KPrL4C4cmBSAEsDz5IE9+mgHAo9f0595L+xicSIimJwUgnN6i9fv552c7AXjy+oHEXNzL4ERCNA8pAOHU5v+4l5e+2gXAc+MHM2VMD2MDCdGMpACE05rz7R7+/c1ulILZNw8hIrSb0ZGEaFZSAMLpaK35zze7eeu7bJSCV28byh3BXY2OJUSzkwIQTkVrzSurs3j3x724uihenzCM8cO7GB1LCENIAQinobXm+c8zWbh+P24uijcnjuD6oZ2MjiWEYaQAhFOwWjXP/HcHy5IP4u6qmBsxkqsHdzQ6lhCGkgIQDs9q1fzjk+2sTM3Bw82F+ZGjuGxAgNGxhDCcFIBwaBar5pEPt/Lxply83F2ImxLMxX39jY4lhE2QAhAOq9pi5aH3t/LfrUdo4eFKwtTRjOndzuhYQtgMKQDhkEzVVh5YuZmvMo7R0tONxdNGE9zDz+hYQtgUKQDhcKqqLcxcsYm1mXn4ermxNDqEEd3aGh1LCJsjBSAcSqXZwl3L0vlx9wnatHBnWXQoQwJbGx1LCJskBSAcRoXJQszSVNZnn8TPx4Pl00MZ1LmV0bGEsFlSAMIhlFVVE704lZT9p2jf0pPE2FD6dfA1OpYQNk0KQNi94koz0xalkn6wgA6tPEmMDaO3f0ujYwlh86QAhF0rKjczZWEKWw8X0bm1F4mxYfRo72N0LCHsghSAsFunykxMTkhhx5Fiuvp5kxgTRle/FkbHEsJuSAEIu5RfWkVkfAq7jpXQs70PK2JC6dzG2+hYQtgVKQBhd/KKK4mITyE7r5Te/j4kxobRoZWX0bGEsDtSAMKuHC2qICIuhf35ZfTv4MvymFD8fT2NjiWEXZICEHbjcEE5EXEpHDpVzqBOrVgeE4qfj4fRsYSwW1IAwi4cOllOeFwyuYUVDA1szdLoENq0kMVfiPMhBSBs3r4TpUTEpXCsuJKR3dqwODqEVl7uRscSwu5JAQibtud4CRHxKZwoqSKkhx8Lp42mpaf82grRGOSZJGxW5tFiIuNTOFlm4oLe7YifGkwLD/mVFaKxyLNJ2KSM3CIiE1IoLDcztp8/CyaPwsvd1ehYQjgUKQBhc7bkFDIlIYXiymquGBDA3EkjZfEXoglIAQibkn7wFFMXplJaVc24wR2YEz4SDzcXo2MJ4ZCkAITNSN53kujFqZSbLNwwtBP/uXM47q6y+AvRVKQAhE1YtyefmKWpVJqt3DqiC6/ePhQ3WfyFaFJSAMJwP2TlMWNZOqZqKxOCA3np1qG4uiijYwnh8Ax5iaWUel4ptU0ptUUptUYp1dmIHMI4M2fOxMPDA6UUlw3qzNEv5xIZ1o2XZfEXotkYtY39mtZ6qNZ6OPA58LRBOYQBZs6cybx58zCbzTVXWC2Ubv6Sgm/exUUWfyGajSEFoLUurnPRB9BG5BDGiIuLQ+vTH3JNXFycIXmEcFaGHQNQSs0GpgBFwGVn+b4ZwAyAbt26NU840aR+feXfwOuFEE2jybYAlFJrlVIZ9fwZD6C1nqW17gqsAO470+1orRdorYO11sH+/v5NFVc0I3f3+k/kdqbrhRBNo8kKQGt9pdY6qJ4/q0771kTgtqbKIWxPbGwsSv1+X79SitjYWIMSCeGcjHoXUN86F28CdhmRQxhj7ty53HPPPb++4nd3d+eee+5h7ty5BicTwrmoPx6Ma4Y7VeojoD9gBQ4Cd2utc//s54KDg3VaWlpTxxNCCIeilErXWgeffr0hB4G11rLLRwghDCaftRdCCCclBSCEEE5KCkAIIZyUFIAQQjgpKQAhhHBSUgBCCOGkpACEEMJJSQEIIYSTkgIQQggnZcipIP4qpdQJak4d8Ve0B/IbMY5oHPK42B55TGzT+Twu3bXWfzidsl0VwPlQSqXVdy4MYSx5XGyPPCa2qSkeF9kFJIQQTkoKQAghnJQzFcACowOIesnjYnvkMbFNjf64OM0xACGEEL/nTFsAQggh6nCqAlBKPa+U2qaU2qKUWqOU6mx0JmenlHpNKbWr9nH5RCnVxuhMApRSdyildiilrEopeUeQgZRS1yilspRS2Uqpxxvztp2qAIDXtNZDtdbDgc+Bpw3OI+AbIEhrPRTYDTxhcB5RIwO4FfjJ6CDOTCnlCswFrgUGAeFKqUGNdftOVQBa6+I6F30AOQBiMK31Gq11de3FZCDQyDyihtY6U2udZXQOQQiQrbXep7U2ASuB8Y1144bMBDaSUmo2MAUoAi4zOI74vWjgPaNDCGFDugA5dS4fBkIb68YdrgCUUmuBjvV8aZbWepXWehYwSyn1BHAf8EyzBnRCf/aY1H7PLKAaWNGc2ZxZQx4XYThVz3WNtufC4QpAa31lA781EfgCKYAm92ePiVJqKnADcIWW9yU3m3N4rgjjHAa61rkcCBxprBt3qmMASqm+dS7eBOwyKouooZS6BngMuElrXW50HiFsTCrQVynVUynlAUwE/ttYN+5UHwRTSn0E9Aes1JxV9G6tda6xqZybUiob8ARO1l6VrLW+28BIAlBK3QLMAfyBQmCL1nqcoaGclFLqOuANwBVYqLWe3Wi37UwFIIQQ4jdOtQtICCHEb6QAhBDCSUkBCCGEk5ICEEIIJyUFIIQQTkoKQDgcpVSgUmqVUmqPUmqfUuptpZRnM2d4Til1Th+0UkodUEq1b6pMQpxOCkA4FKWUAj4GPtVa9wX6At7Aq410+64N+T6t9dNa67WNcZ9CNBUpAOFoLgcqtdaLALTWFuD/gClKqZZKqSil1Nu/fLNS6nOl1KW1/75aKbVBKbVJKfWBUqpl7fUHlFJPK6XWAY8rpTbV+fm+Sqn000MopRYrpW6v8/P/rL3d7UqpAbXXt6udS7FZKTWfOud9UUpFKqU21s6umK+UclVKja6dm+CllPKpPV9/UKP/HxROQwpAOJrBwO8W5NrTgB8A+pzph2p3vTwJXKm1HgmkAQ/V+ZZKrfVFtZ/CLFJKDa+9fhqwuAG58mtvdx7wcO11zwDrtNYjqPl4f7faLAOBO4ELa2dXWIBJWuvU2u97gZotmuVa64wG3LcQ9XK4k8EJp6eo/2yJ9Z1Vsa4wagZurK/Zi4QHsKHO1+uepjoemKaUeoiahTqkAbk+rv07nZpBKwBjf/m31voLpVRB7fVXAKOA1Nos3kBe7deeo+b8MJXA3xpwv0KckRSAcDQ7gNvqXqGUagV0ALKAIH6/5ev1y7cB32itw89wu2V1/v0RNa/evwPStdYn6/+R36mq/dvC7593ZyqrJVrr+qaj+QEtAffa7GX1fI8QDSK7gISj+RZooZSaAr8etP038LbWuoKaXUHDlVIuSqmu/PbqPRm4UCnVp/bnWiil+tV3B1rrSuBranbnLDqPrD8Bk2rv71qgbZ3/htuVUgG1X/NTSnWv/doC4Clq5ia8ch73LYQUgHAstfMEbqFmAd1DzVlGrXXOoLge2A9sB/4FbKr9uRNAFJCklNpGTSEMOMtdraDm1fua84j7T2Bs7UHlq4FDtVl2UnM8Yk1tlm+ATrWlVq21TgReBkYrpS4/j/sXTk7OBiocmlLqAiAJuFVr/Yd365zH7T4MtNZaP9VYtylEc5MCEOIcKaU+AXoDl2ut843OI8RfJQUghBBOSo4BCCGEk5ICEEIIJyUFIIQQTkoKQAghnJQUgBBCOCkpACGEcFL/D31YcmJ0jrKhAAAAAElFTkSuQmCC",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
}
],
"source": [
- "# plt.plot(interp1d(for_time,ref_vals_interp,kind='cubic',fill_value=\"extrapolate\",assume_sorted=True)(for_time[1:-1]))\n",
- "# plt.plot(for_time,for_vals)\n",
- "ref_vals.shape"
+ "import numpy as np\n",
+ "\n",
+ "## A noisy sine wave as query\n",
+ "idx = np.linspace(0,6.28,num=100)\n",
+ "query = np.sin(idx) + np.random.uniform(size=100)/10.0\n",
+ "\n",
+ "## A cosine is for template; sin and cos are offset by 25 samples\n",
+ "template = np.cos(idx)\n",
+ "\n",
+ "## Find the best match with the canonical recursion formula\n",
+ "from dtw import *\n",
+ "alignment = dtw(query, template, keep_internals=True)\n",
+ "\n",
+ "## Display the warping curve, i.e. the alignment curve\n",
+ "alignment.plot(type=\"threeway\")\n",
+ "\n",
+ "## Align and plot with the Rabiner-Juang type VI-c unsmoothed recursion\n",
+ "dtw(query, template, keep_internals=True, \n",
+ " step_pattern=rabinerJuangStepPattern(6, \"c\"))\\\n",
+ " .plot(type=\"twoway\",offset=-2)\n",
+ "\n",
+ "## See the recursion relation, as formula and diagram\n",
+ "print(rabinerJuangStepPattern(6,\"c\"))\n",
+ "rabinerJuangStepPattern(6,\"c\").plot()"
]
},
{
"cell_type": "code",
- "execution_count": 56,
- "id": "e54f86b8-54d6-4219-9f68-e34b4871fe10",
+ "execution_count": 18,
+ "id": "7a8289d0",
"metadata": {},
"outputs": [
{
- "ename": "ValueError",
- "evalue": "A value in x_new is above the interpolation range.",
- "output_type": "error",
- "traceback": [
- "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
- "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)",
- "\u001b[0;32m/tmp/ipykernel_224859/3584316667.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minterp1d\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf_time\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mt_vals_interp\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mkind\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'cubic'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf_time\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m40\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mf_vals\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
- "\u001b[0;32m/opt/quarantine/miniforge/envs/py3p9/lib/python3.9/site-packages/scipy/interpolate/polyint.py\u001b[0m in \u001b[0;36m__call__\u001b[0;34m(self, x)\u001b[0m\n\u001b[1;32m 76\u001b[0m \"\"\"\n\u001b[1;32m 77\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx_shape\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_prepare_x\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 78\u001b[0;31m \u001b[0my\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_evaluate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 79\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_finish_y\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx_shape\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 80\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/quarantine/miniforge/envs/py3p9/lib/python3.9/site-packages/scipy/interpolate/interpolate.py\u001b[0m in \u001b[0;36m_evaluate\u001b[0;34m(self, x_new)\u001b[0m\n\u001b[1;32m 682\u001b[0m \u001b[0my_new\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_call\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx_new\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 683\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_extrapolate\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 684\u001b[0;31m \u001b[0mbelow_bounds\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mabove_bounds\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_check_bounds\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx_new\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 685\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0my_new\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 686\u001b[0m \u001b[0;31m# Note fill_value must be broadcast up to the proper size\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;32m/opt/quarantine/miniforge/envs/py3p9/lib/python3.9/site-packages/scipy/interpolate/interpolate.py\u001b[0m in \u001b[0;36m_check_bounds\u001b[0;34m(self, x_new)\u001b[0m\n\u001b[1;32m 714\u001b[0m \"range.\")\n\u001b[1;32m 715\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbounds_error\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mabove_bounds\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0many\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 716\u001b[0;31m raise ValueError(\"A value in x_new is above the interpolation \"\n\u001b[0m\u001b[1;32m 717\u001b[0m \"range.\")\n\u001b[1;32m 718\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;31mValueError\u001b[0m: A value in x_new is above the interpolation range."
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "26.175331314668377\n"
]
+ },
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 18,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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CBQto7Nix9Nxzz9GWLVuorq5OqxKs4RsPXKRrUqM+gC9ju9hJKjc3l6ZPn06XX3457dixQxQU9Pb2BjzPW9Enp5Kz2Wy0d+9ev5O52Wz2S4LNzc1kNBr9XruxsZGcTidxHEexsbEBlXfCWIeXlPeH3t5eGhwc9Hv82LFj1NjYqKgvIg9J5efn+1US6nQ6eu2112j+/PkEgG644QZ6+umntSrBGr7R0EhKIykiIsrIyKApU6bQsmXLqKWlRdxvsVho9+7dsk/02dnZVF9fL9l39OhRycTNsmxQa6Cnp4dycnIk+3Q6nc8+OZw9e5aqq6uDlovneZ5Onz4dkHQEDAwMUFJSUsC+WJYlp9Op2NJpb2+XfK7BxlpRUUHvvfcejR07lh588MGg5KtBw9cVGklpJEUZGRk0depUuuqqq4LKtr3R29tLBoNBss/tdksm7ry8vIATfltbm8QSE2A0GqmystLvee3t7TQwMEBEHgvQnyXmjYaGBkWuObvdTnV1dX6PV1RUyMrwA6GxsTFgn96oq6sTrdjt27cTwzB01113BbQoNWj4ukIjKbmLe6o31gJoAPCWzPENAIwASoa295T0ezGSVFNTE11//fX06quv+qwb2e12OnjwoKy10NLSIomBcrvddOzYMR9XFs/zft1VPM9TVFSUZPLleZ6ys7ODBteWlJRQTU0NdXZ2Bn2PNTU1AQlPAMdxlJiYSDabLWAbnud94r/8gWVZqqioULW2lJ6eTn19feLrgwcPUlhYGN12222y61kaNHydEYykAFoEUApA1QBVAvRfMm02AGQEqGRoUzRnB7zuSDsI+cKeEsSNAJYBGAegFMDKYW02AIhR2/fFRlJGo5FWrVpF06dPl7VEWJaltrY22XPj4+NFS4bIQy7ebj6e5+nEiRN+3WsOh0OWDFiWpbS0NL9ZIgwGgyhm6O7uptOnT/t9fwJ6enoUkRnP81RYWOjX2rLb7RQZGRkwg8VwmEwmOnv2rCKS6uvr82vJRkVFUVhYGN1zzz2KCVKDhq8DFJDUfIBWD/0/BaA6gIbN2bQBINVzdsDrfpGdqbowcBuAs16v3wbw9rA2lzxJud1ueuihh2jcuHG0Y8cOn0lUIB25yXX4JG61Wqm2ttanXUtLi6wrj8ij5Dt//rxkX3Nzs2wKJW90d3dTfn4+9fb2Bp34nU4nZWRkKCKIqqqqgK5OoY9ga1/eaGlp8cmaEQj19fVUUlLi9/jevXsJAD3yyCOK0zhp0HCpQ627D6BTAH1n2L4vnKRGM5h3IYB2r9cdQ/uG4zaGYUoZholnGGaVv84YhnmNYZgChmEKWJb9oscaMv73f/8X8fHx+Oc//4kbbrjBJwbIbrfLlk/nOA6RkZGw2+3iPrPZjP7+fvG1zWZDcXExFi9eLFtt1+124/rrr8e9994r2T84OAiz2Sw7XpfLhdzcXMydOxerV69GQkICgsWc8TyvOOP48Fiv4Th16hTa2tpUVdmtqKiA0WgM2s7tdqO6uhorVqwImI3jxRdfxObNm1FUVIQf/OAHuJjuJw0avjzMDmcYFHhtr/lryTBYAuBmALkyh29jGJQyDOIZBn7nbMX4IhlPHQvjaQDbvV6/COCzYW2mApg89P/DAOqV9H2xWFJbtmwhAPRf//Vfqp70BXi76Ww2m4+1pNfrfeKkBLjdbvr8888l61ROpzNoLjubzUaZmZlkNBoVudsqKioU5eQzm80BrRcBg4ODiuOhLBaLj6AkWN/nz59XZPHxPE9//OMfaebMmfTCCy8oHpMGDZcqoNCSAmgyQIUAfU/m2FSAhuZsehggRXN2oG00LakOAIu8Xl8OoMu7ARGZiMgy9H8cgLEMw8zGJYDk5GT853/+Jx566CH8/e9/R2RkJCwWi6SN1WrFzp07BUIW4XK5kJiYKMnSkJWVJbG4dDodJk+ejHXr1vlcm4gQHh6OV199VZLTz2AwoLGxUXa8RISMjAyMGTMGd9xxBwoKClBZWRn0fer1ekWWhsvlClgqvqamBikpKZg+fbpP+Q1/aG1tRWlpqaK2lZWVmDJlCu67776g1YAtFgscDgfeeecd/M///A8OHDiA1157DTzPK7qWBg1fVzAMxgKIBnCACMeHHyeCiQhDczaG5myMbM4eKcuFugEIB9AEYCn+LZxYNazNPPw7ddM6AG3C60DbaFtSOTk5NGPGDFq5cqX4pC/3JM7zvEQUIcBut/tYHTzPSyypxMREv1ka0tPTqbCwULKvra0toAXB8zzl5OSQy+USs4wHam8wGBSLJEpKSoJaIk6nU/az8Ae9Xq+4LcuyFBcXF1BN6I3c3FxJ7Nh7771HAOhXv/qV4mtq0HCpAcGFEwxAewH6Z4A28wAamrNpHUBtwutQt1EjKc+bwMMA6uBR+b0ztO91AK8P/f8GgMohAssBcLuSfkeDpDiOo9OnT9OGDRsIAM2dO1dU4ZWWlvpMwBzHUWlpqQ8ROJ1OyQTM8zwdPXpU4tYKNuHb7XZJUCrHcXTkyBG/brmcnBxRit3R0UGHDh0K+n4bGxsVBQGzLEtnz571K0Cw2Wx05MgRVe40i8VC27dvV3ROc3OzYhEGz/OiStL7e+F5nn7+858TAL/uVQ0aLnUoIKk7ASKAyrwk5g8D9DpAQ3M2vTEkTy8FKAcgRXN2wOuOtIOLcRsNkvqv//ovmjt3Li1atIj+8Y9/SEilqKjI58nfarXK1mxqbW2lU6dOSfa1t7eLk6bD4aDPP/9cdr3IarVSVFSUxOIyGAxB0/1UVVWR2WwWJdf+lILeY1SC1tbWoIGxPM8rzhBBRIqsPG9kZWVRe3u7orb9/f20b98+2b5NJhPNmzePbr311qCfjwYNlyKCkdRobaM+gC9j+6pJqqqqiq655hr6xS9+4SOQ8Pe0r2Sic7lcVFBQ4DNp+ovf4TjORxiRkZHhV7BQVVUlBt+yLEubNm0KKoKw2+10+PBhRaKK7Oxsam5u9ns8KSlJUUJcbxw9elQRqRkMBsVkSkRi8G4g8tu9ezcBoD179ijuV4OGSwUXK0lppTq+ADzxxBNITk5GY2OjTx2mpKQkTJ48Gbfeequ4z2q1Ys+ePfjZz34mWcTPy8sDEYltzWYziouLcddddwEAqqqqYLFYZMUSJSUlmDt3LubPnw/A8/BhMpkwbdo0v+Pu7e0FEWHWrFkIDw8Hx3EB5eF6vR7Tpk0LKmxwOp3o7+8PWGcKAFpaWsQ6T8HA8zw4jkNYWJis3H44Wltb0dvbK/tZDQcRYefOnXjqqacCfl48z+O2225DW1sb6urqVMnkNWi42KGV6viaWlLp6ekUFhZGH3zwgax1xPO8rPxcLpGpw+EQ3WN2u91nHcdsNvvNlF5TUyNxKfb09NCBAwdk23Z3d0vy/CUkJCiSh585c0ZROfaOjg5KTEz0e7ylpYUKCgqC9uONyspKOnPmTNB2LMtSVVWV4n4dDgdxHKfYhZeTkyOKKLTyHhq+TsBFakmN+gC+jO2rIime5+nWW2+lhQsXyiY17e/v91HgsSxLFy5c8Jng6urqqL+/X3xdXFwsmeiLi4tlXXFOp5PKysok+wQC9DeJ2u120Q3HcRy5XK6AIgSO48S1oGAIpiIk8ijz1KxDCRnelcSamc1miouLU0wgKSkplJeXp3gsRET/8z//Q0uXLqVHH33UbzorDRouNVysJKWVjw8RJpMJn3zyCXJzc/Hee+/hiiuu8GnjcrngdDp99vE87xOrY7FYJPFGN910E+655x4A/3bdybm5bDYb9Hq9+JqIcODAARiNRp9r2Gw2REdHY+zYsViyZAna29tx7NgxjB07NqALr7m5GYmJiUHji9xuNzIzM/3GQ7ndbqSkpGDq1KlYvHhxwL4EOJ1ObN26FSzLBq3IW1tbi/Hjx+Ohhx4KOlbA813cddddWLNmjaKxCHjzzTfxxhtvICkpCatWrcK2bdtUna9BgwYVGG2W/DK2L9OSOnXqFN19990UHh7uCQRYt47Onz/v42Lyp0CTk2IPd/2dPHlSVKRxHCfJ1O2Nzs5OiYDB5XKJNZjkwPO86K4TxqdEKCGMIxAGBgaCiilcLhfl5+crtnKEdkpqPPE8T3FxcYrl5l1dXbR3715FbQW0tbVJ8iA2NjbSvffeSwDoH//4h6q+NGi42ICL1JIa9QF8GduXRVJlZWUUERFBK1asoLfeeovS0tL8uqD6+vpo+/btkn1ms5k+++wzn0l6x44dElefTqcTJ/yenh46duyY7DVOnz5NPT094uvU1FTZ2CUh1kqIAWJZlrZt2xZ08ne73bRx40ZF2cATEhJ8CjN6o7i4WFUKIyLP+wvUp4COjg5VfQskrjZ5rMPh8Algdrvd9PTTTxMA2rhxo6r+NGi4mKCR1CVOUna7na677jqaM2eORLwwODhI6enpsufIZTiQszYEK4Xnebpw4YLYxp9FxLKsT70jlmWJZVm/1owQayUQZLDKuUI/wawjt9utqEhgXl6e6mKCJpNJkdQ9Pz+fGhoaFPXJcRxFRkaqqhfFsizFxMT4JWuXy0WPPfYYAaAdO3Yo7leDhosJFytJaWtSCvH222+joqICu3btwpw5c8T9YWFhmD3bNzVVcXGxZA3F7Xbj/PnzkrUflmURFRUFjuPE14LMGgASEhJk8+e1trYiMTFRfD0wMIB9+/bJZhg/d+4cGhoacPnll4NhGCQlJaGmpgbTp08P+H7Pnz+P8vLygJJ0YSxpaWl+jw8MDKCpqQm33HILpk6dGrAv7z7j4uIwZcqUgNe32WxoaWnB2rVrsXz58qD98jyPMWPG4KWXXsLkyZMVjQXwZG5fsmSJX6n82LFjceTIEdx///149dVXsX37dsV9a9CgIQhGmyW/jO2LsKSsVitVVlZSYWGhGMT5n//5nz7t5J703W43xcfHS9x6drudiouLJe04jhMtAJfL5eOycrlcPv0L7kWhb+Gv3NoSz/Ok0+kkbi0lGSh4nien0xk07ZCw/hNojam1tZVKS0sD9jMcbrfb7zqcNzo6OvxasXI4e/as6rGUl5crVvDZbDZ68MEHCQB99tlnqq6jQcNoAxepJTXqA/gytpGSlNlspmXLlhEAAkBXX3013X777bLuu23btvnELvlLq+MNlmUl6y0tLS108uRJIvIQ0bFjx3zWu3iepy1btohkxvM87dmzR7aAYUlJCaWkpIivOzo6KCYmJsg797Q7cuRI0HYOh4MiIyP9rslxHKe6nLvb7aZjx44FXQPjeZ6qq6tV9c3zPNlsNtUlU+rr6/3GpsnB4XDQ448/TgDob3/7m6pradAwmtBI6hIiqXfffVd8Gj516hQdPHhQNg6KyDMZD58s9+zZI7EEzGYzRUZGStrp9XqKjY0lIl+raHiJeO9jw60gvV4vW+3X6XRKiNHtditKQcTzfFARgs1m88nKPhxWq5Xi4uJU5bkT1IfByMdut9Pp06cVJ6Vta2ujqKgoxeMg8oy/qKhI1TkCXC4X/fjHP6abb75Z9XU1aBgtaCR1iZBUa2srjR8/np577rmgbXt7e2UzMFgsFp/J2XviHU5s586do/LycrFPORFAcXExpaWlia/z8vJkg1C7u7slmSbcbjdFR0cHLVPBcRzt379fkYQ7Ojo6oFChpaVFtXIuLy9PUTaLhoYG1X17ZzdXisHBQcrOzlZ1jjd6e3vpnnvuoRkzZihOcKtBw2hCI6lLhKS+//3v0/jx4yUZEbZv3y6rBmttbfXJ9tDa2ipJT+RwOOjkyZMSUqqsrKTTp0+Lr+12u+jiamtrEwnLGy6XS6KOs1qtPmo5gfy89/M8Tw0NDYpcYz09PUFrTgnZKQK1S0hIUOUiI/K8byVEkpCQIOvelAPLsrR7927FdaQEVFVVhVRJmcgja09MTCSWZamuro4mTZpEGzZs0Cr7arjooZHUJUBSWVlZBIB++9vfSvbr9XrFbqv8/HwJwTmdTqqtrZW04XleJKWMjAxR9NDf3+8z+btcLoqKihLdfAaDgaKjo2XrUG3evFliZeTk5ATMQu49ZjliHI7h5DocFotFMYEIMBgMdOHChaDtent7VfctnKcGQlBwsCBnf3C5XFRYWCh+P7t27SIA9OGHH4bUnwYNXxU0kpK7OPAggFoADQDekjnOAPh06HgZgNVK+g2FpDiOo1tvvZXmz58vsZqcTqfsWg7LshQZGRkwjofneZ9zq6urRVeZUA1X6OPw4cM+qjbBEvIe5/ASFML5wyfWtrY2RbFJer1eUdyUsNblD1VVVZSRkRH0et4wmUyKCLK0tFRROwFJSUmKAoG9MTAwoDrg2Bvl5eU+nyPP8/Tss89SWFgYvfPOOyGTnwYNwZCUlESffPJJyImPg5EUQIsASgGoeqiw4X/JtGEA+hSghqHiiIrm7IDXHWkHIV8YCIOnIu8y/Lt8/MphbR4GED9EVusB5CrpOxSSMhgM9Oijj9Inn3wi2T8wMEDHjx/3aS9X+j0/P18ySZvNZtq7d6/kpmlra6POzk4fApNzB1VXV4uWEM/zdPbsWVlrYvfu3RKLob+/X5F1YjQafaTycrDb7bRp06aAhByKxZKXlxdUDu90OhWtVQ1Hf3+/okwZ3iguLvYJE1CD/Px82bL2RqORXnjhBQJACxcupAMHDmgZ1DV8oejp6aH33nuP3nvvvZAfhBSQ1HyBdACaAlAdQMPmbHoYoPghsloPkKI5O+B1R9pByBcGbgNw1uv12wDeHtZmC4DnvV7XApgfrO+RrEklJycratff3+8jMnC5XAGFBwMDAyIZ6XQ6OnLkCPE8T729vbR7926f9s3NzZI0PLW1tbK5+oZPxiaTiaqrq4O+B6fT6ZOlfTgEN2egdR2BjNUo+TiOo7S0tKAiiN7eXjp37pziftvb2yX59ZSA53lJeim1MJvNPmpMOVy4cIHWrFlDAOitt97SiErDFwKWZemee+6h+++/nz7//POQ+1Hr7gPoFEDfGbZvC0BeczbVAhR0zg54nZGcPKILA08B2O71+kUAnw9rEwPgTq/XSQDW+unvNQAFAArGjRsX8hc1HHV1dbITfnZ2tiSprNVqlaz/WK1WOnjwoGQiiomJoebmZlnZujcJcBxHpaWlYpuGhgaxgq43zp49K3ny5ziO0tPTFanfMjMzFbkCjx49GrDC7eDgoOrJtr29PWiwLs/zVFtbq7pvh8NBHR0dqs4ZHBykQ4cOhUwaHR0dlJWVpagty7L005/+lADQH/7wh5Cup+GbjeHhH7/97W/p3XffpU8++UTVg+JwALOdABV4ba+Rf4JaAlAbQFOH7Y8ByGvOpiSAZOdspdtopkWSq6UwvEywkjaenURbiWgtEa0NlsonED777DPJ60mTJsmm0Fm/fj2uvfZa8bXZbEZLS4v4OiIiAnfddZekZMQjjzyCJUuWoKCgABkZGQCA7OxsNDQ0YMKECWI7u92Onp4e8fXkyZMlY+B5Hg6HA/fccw9uuOEGcT8RBS27IbSbMGFCwIq4wg3y0EMPYdGiRX7bnTt3TjJWJTAYDDAYDAHbsCyLqqoquN1uRX263W6cPn0aALBw4ULFYzEajZg2bRqee+45ReU9hqO5uRkLFizAbbfdpqh9WFgYNm3ahBdffBHvvvsuPvnkE9XX1PDNBcdxuP/++zFlyhSsX78eP/jBD/Cvf/0LgOc38/nnn4+g9wGWCGu9tq1yrRgGkwFEA/glEUzDD8ucMrLy7yNhuJFsuEjdfcPXmeSerg0GA8XFxfntg+d5qq+vlwTn7t69W7RcWJYVLafe3l6JRdPb2ytaQk6nkzIzM32ejiorK32yR9TU1EgyqftDZ2enojWe8vLygG4zl8tFDodDlfXBsqwit1hLS0vQtarhCCULBRHRgQMHQnb1CRky1I5VOPfpp5+mq666Sgv41aAYf/vb3wgAPf3007Rhwwb67//+b3rppZfEigbD5y81gAJ3H0BjAToL0H/7Of6Fu/tG05LKB3AlwzBLGYYZB+A5AKeHtTkN4CXGg/UAjETU/WUOaniRwr1796Kjo0OyLyIiAldffbX42m63Y9euXQKRwmq1ory8XDzOMAweeeQRTJkyBVlZWRgcHMT48eNRWFiImTNnShKvlpeXi9fjeR5hYWGSJ3yLxYJrr70WDzzwgGRMDodDUjTRH9xut9+ihN645pprcOutt/o9XlFRgczMTFXWh9FoRHV1tfg5+UN9fT0GBwcV95uTk4Pu7m5cc801isfDsizcbjeef/55zJ07V/G1BAwODoLneTz11FMBLVJ/CA8Px6effopbbrkFr7/+Ovr6+lT3oeGbhdLSUrzzzjv43ve+hyNHjiAlJQVLly7FVVddhaNHj6K8vNxn/voiwTBgAOwAUE2Ej/00G5qzwTAMhuZsjGzOHgnDjXSDR71XB4/K752hfa8DeH3ofwbAxqHj5fCzHjV8G4kltWXLFslrt9vto7wbXkqd4zi/6jaO4yg3N1e0hiorK8UccufPn5eU6fAWXVRUVPiodHQ6He3cuVNybYvF4hOH5W8c5eXlQS0Ni8VCe/bsCRh8qrQQojc6OzuDth8cHFSUWHY46uvrFRc7FFBUVKRKkDEcKSkpVFFREfL5ra2tYn7DcePG0ZNPPqkJKTT4hd1up+uvv57mzp1L/f39VFxcTPv37yciz3p2ZWUl1dXV+cxfaoDg6r47AaIhaXnJ0PYwQK8DNDRnEwPQRoAaASof6XoUkRbMGxCCC2k4Dhw4IEl109zcLGYoMJvNtGPHDnHCsdvtlJycTDzPU3Nzs6jGG57Boqenh/bt2ye+Tk9Pl8TsCPE3wyf6np4eRXJzi8VC8fHxioglkJzcZDJRZGSk6px8R48elZVne6Oqqory8/MV99vT00MFBQWK2wsQYr5CyQIxPKNHKOB5nqKjo8Xv989//jMBoMOHD4+oXw1fX/zv//4vARDzfWZkZNAHH3xA27dvp7q6uhEJJgQEI6nR2kZ9AF/GNhKSSkhIEP93Op2yMVJE0mSwR48eFa0LoTyG8L+w9uRwOOjw4cPEsixVV1dLnuIFWTnHcaTX632qvwqVdIfLwGtqahQ9fbe1tSlS/J06dSpgElqBiJUUIhRgtVqDpiVSulY1HHq9PqiEXm48mzZtCjlNUVdXlyQ3olpYLBafishut5vWrVtHs2bNori4ONUxZxq+3qirq6PXXnuNfvKTnxDHcXTixAkxlVpOTg4dOnSItmzZQv39/ZL5Sy00krpESCqYVdLd3S0rByfykExJSYlIHJ2dnbRv3z7iOE6cFL3dewL27dtHXV1dROSRm3tbEzqdTlay7nK56OTJk4rIJz4+XlEG9K6uroCT9969exX14438/HzKzMwM2Ean01FMTIxidxfLspSZmamKLIn+/dmrDfIVIAgkRuKWKygokL3HqqqqaOrUqWJ5mMsvv5w+++wzzQX4DQfP8/Tcc8/R9OnTqauriywWC/3hD3+gjz/+WJJRxel0Esdxirwq/qCR1CVCUt5obW31+dK7u7sl8VFxcXGi689isfisc3AcR3V1daJFtnfvXomaTHD/cRwnq7o7fvy4T9xPd3e3oqSpDocjqIuNyDNB5ubm+j0ukKRaFZvg0gw00SpNfusNl8slq3oMhqioKEW5DOXA8zxt3bpVdTZ1bwQrEmk0GiklJYU++ugj+va3v00A6Ac/+IGP5aXhm4Po6Gi688476Z133qG6ujrq7e0llmUpOzub9u/fTwcPHqS+vr6AsYxKoZHUJUJS//jHP8T/jUajD0EMn2D6+vpkhQQ1NTWUk5MjniO0sVqtkiBdQUputVrp2LFjoiVjNBp9BBoCUlNTFbnHamtrFWVfMJlMAV1M+fn5ijNxCDAYDLRt27aABMSyLB0/flzVJFxZWRlSfj2e58lsNofkuxeyvqu13LxhNBqDfh7e4DiOfv/73xPDMHTTTTdJkhZr+ObggQceoEWLFpHBYKDt27fTH//4RyosLCQizz3d2tpK7e3tYjo27/lLLTSSukRIylsl5nQ6JZMKz/P0ySefiBaFTqcT25tMJtq4caPY3mQyUU9PD+Xm5lJTUxMNDg7S6dOnJf2xLEt6vV58OvJGbm6ueDMKcLlcitVvSp74rVYrnTlzJuDELQgM1LjIhM8nUL8dHR2qS2gQeT4XtbEgdXV1FB8fr/paArKyslQnzvWGks/DH06fPk0//OEP6YYbbtCS036D4HA46LPPPqPw8HD66KOPRG9NUVERRUdH07Fjx6irq8vH3a9W5eoNjaQuEZLydgedOXOGSkpKJMe9n/rz8/MlaYmESberq0t82u/o6KDBwUFyuVyiO4/neTp58qR4Q506dUq02PxlXSfyBLkGCiIW4HA4aOvWrUFrIrEsG1B4YDQaJUpFpdizZ0/QtavU1FRV1sHg4GBIiWaJPMIEJW5POQgkHUrAroDhalC1OH78OI0ZM4aee+45bY3qGwKdTkePPvooXXHFFVRVVUUffPCBqM4VBFYnT56kvr4+io+PFz0hobqziTSSumRIateuXX6PdXV1yT7Fu91uyszMFCeQ/Px8qq2tpfr6enK73dTc3OzjTquvryeHw+EjRW9ra5NV6Ci1HoTS7sEms9TU1IATt3C+mjUY4QcUiBwtFotq8QWRZ31Qrdzc5XLR4cOHQyYYo9HoE5emBkKOtVALKJ47d04ktw8//JAA0D//+c+Q+tJw6SAtLY3uueceevHFFyk6OpqIPPPF4cOHKTExkerq6iTt29vbRU9HoPkrGDSSukRIyhtFRUUSc7qkpES0PBobGyk9PZ2IPNaVkGBUcNvxPE8nTpwgm81GZWVlotXQ2toqxl5VVVWJhMTzvN91JpfLRTt27FA02Z46dUqRLLuioiJgf0eOHFEthS4sLAy6BtbQ0KDKdRZquiPh3JEuKIdqgRF5PmMllq8/dHZ2ivcfz/P0xBNPUHh4uHjfafj6oaOjg+677z5atGgRJSQk0F//+lfavn27uPTQ2tpKpaWl4rq02+3+wtzAGkldIiTlXXk2ISHB71Owt0XgPdnv37+fOjo6xMlluAXU1dVFjY2N4o0lTL5ms5mOHz/us24hLPYHm6SVlnZvbm5WRGJyVYKDXZ/jOL9rVzzPh+Sus9lsdPr0adVxTdnZ2SNyfZw8eVIMCwgFwucRijKvsbFRVkpsMBjoqquuojlz5ozIfajh4kRcXBzdd9999MADD9ChQ4eI4zgaGBigQ4cO0Z49e6i3t1ecH/r6+shsNlNnZycdOnRI7CNQ5exg0EjqEiEpfy4lk8lER44cISKPtSTIyIcLJux2O/X29tKOHTvI7XbT9u3bxUSsZWVl4kS+efNmUS1WU1PjdxI+c+aMorRHTU1NdOzYsaDtOjs7A07eJSUloipRKaxWK23bti0gkZhMJjp+/Lgq4mtrawvZVdbW1jaiReSenp6QA36dTidt37495LGbzWa/5UYqKytp8uTJdMstt4Qc76Xh4oJer6cf/ehHNGXKFPre975H+fn5dPbsWfroo49EoZSg4MvMzKTBwUG/93YoGVgEaCR1iZCUgL6+Pjpx4oT42uVyiZkghIKFAgTrJTExUZw4BPNcmJSdTifFxsaKFpTwRMRxHMXExPiY7BzHietLwSD0Fch953A4KDs7W1HuvlBcXIFk4UINLbWIi4tTnaFcr9ePKKDRnxWjFnIVlIPBbrdTbGxsUHI8ceIEAaAf/ehHmpDiEoTVaqWXX36ZVq9eTYsXL6bx48fTsmXL6De/+Q3t2rVLDHc4fvw4bd68mfLy8sS5hGVZKioqory8PCIiKi0tVVT9QAk0krpESOrDDz8kIg+peE+QOp3O58nY6XTS2bNnRddOQUEBlZaWUnFxMVVUVIh5tnQ6nej2iYqKEteeGhoa/D4R1dfX+03J5A2WZSkyMjKonFtYN/M3qYVi6RB51sACuZ6EtTk1sU2hEiWR5334ywiiBIILJVQkJiZSQ0NDSOeyLKt47O+++y6Fh4fTxo0bQ7qWhtHDhx9+SK+88go98MAD9OKLL9KvfvUr2rNnD/X395PBYKC///3vVFpaSkT/fujKysqSXV8tLS2VPBAJ81couKRJCsAEAFeP9mCVbiMhKcEasVgskon/1KlTYubqqKgocrlcZLfbxQq6gsjAYDCI6zkCMWVnZ1NxcTGxLCuWfCfyxN/IrXsI61nBnqi9Y7ICobS0NCiJcRwX0hpOf3+/33H29vaGtKhbVVWlOi6J53nKyckJWcnndrvp7NmzIbvoBPT394fkhsvMzFRlfbEsS7/+9a/psssu84mn03Dxor+/n6ZPn06PPPIIEXl+6zqdjrZv3y5+/8nJybR161YqLCwU7+e2tjYyGo0SwZYcRhIqccmSFIDvwlNssHno9U0ATo/2wANtIyEpQVSQl5cnWxKc4zhxjUjIhm0ymWjv3r1UW1srpkYSfMmCxLy6uppOnTpFRB7xhL8YIafTSRs3blSUky8pKYnKy8sDtuF5nlJSUnyk7t7Hz549q9pyaWhooNTU1IBtsrKyVCWA9SZ7teA4jtLT00MmGZZlqbi4OGT3WU9PDyUmJoZ0LpFHCag0uFkQ0nR2dtLChQtpxYoVkgcVnU5HbW1tIY9Fw5eH9957jy6//HIx/rK+vp7i4+PJbrdTVFQUxcXFEc/zZLFY6MKFC5SZmUmdnZ3ife0t2Orr66Pdu3dL+lebcNkblzJJFQKYBqDYa1/ZaA880DYSkjp48KDPvq6uLtEHLCR8NZlMtHXrVsmklpycTHq9nhobG8nlcolthDUrYRJqamqS5P8TIAgplBAUkYcAAz219/T0KFrTqa2tVT2522w2v/FODocjJJeZQPZq16/a29tDqkMloLKycsSZx+12e0iWaGtrq+y9EAhZWVniull6ejqNGTOGvv/975PL5aKPP/6Ypk2bRhMnTpSsqWoYfXR3d9OMGTPoueeeIyKPCz43N1f0GlRXV9Pnn39O0dHR4u9RCPzv6+sjt9stuU+FVF/ekJu/lOJSJqncob/FXvtGRFIAZgI4D6B+6O8MP+1ahoodlgAoUNr/FyGcyM/PFwNZ9Xq9mHH40KFD4o0i1Ig6deoUWa1Wcrlc4tO4QDh2u522bNlCTqeTTCZTQNfMiRMnfAL15NDX10cnT54M2q6qqipgYb66ujrVE6TT6aTTp08HJLXW1lbVVoVerw/ZiikrK1P0uQU6P1SS43mekpKSQk4CK4QkqLmey+WSWF1/+MMfCAAtXLiQANADDzxAt956KzEMQ3/72980ccVFgIaGBnrrrbcoLCyM6urqiGVZ2rx5MxkMBmpsbKQjR46Qw+Egl8tFZWVltHfvXp8wkL6+PjG4l8hDeiNRsA6HEpICaCdAfQBV+Dm+ASCjV1HE94L1GfSawQeFHQC+D6AMwJUAPgMQOaKLAn8D8NbQ/28B+Kufdi0AZqvtfyQkFRUVRUSewFTBnTc8sajNZqOTJ0+KapvOzk7auHEj6fV6SklJISIP4QhuQUE0YDAY/Bb1E6TpSiYU4ZqBjitZvO/u7lYdb8NxHFVWVsqOUyDtUHDw4EHVSr5Q61AJsNlsskUt1YDneSosLFQtV3c6nYrUlt4wGo20d+9en3NYlqWHH36YrrzySjE/pM1mo2eeeYbGjRtHP//5z1WNTcMXh+bmZtq+fTu98MILNHv2bPrJT35CLMtKvAYWi4W2bdtGBw4cEL0Tg4ODxLIsbd261e+6bmZmpk/soTB/hQKFJHUXQKuDkFRMsH7UbEoIZSKAPwHIB1Aw9P/4EV3Us8Y1f+j/+QBq/bT7ykmqrKxM8lpIKmu1WikvL4+am5vJ6XRSfX09dXR0iGtLBoNBYqI7HA6KjY2lhoYGcrlclJqa6nciq62tVRSEx/M8xcTEBK0MOzg4GLA+k91up/T0dNVP2AUFBQFTGtlsNjp69KiqCdvhcIhxZGqh0+nozJkzIVsKfX19QWtdBUJTU1PIaz82my2g2lIOPM/7tfjkUmFxHEdvv/02rVy5UpHlreGLA8/z9Lvf/Y7GjBlD3/ve92jx4sX0/e9/n/r6+ig9PZ0uXLhA3d3dFB8fT319fWIcZXFxMSUlJfmkJXO5XHTkyJGgrvDh85caKHX3AbTkoiKpL2MDYBj2etBPu2YARUPrYq8F6fO1IRItGDduXCjfkQi73U6bNm0SXwuTbltbG+l0Ourq6hIzKKSmplJiYiJlZGRQYWEhdXd309GjR4nI48JyuVzkdrspJyfHr/XBcZxfYcNw1NbWBrxRBQViINhsNlVl2gVUV1f7lZK3tbWFFPyan58fVIAhh66urhGVzG5oaBhxye26urqQSmiUlJSozgB/5swZ1Zam2+0mq9VK119/PV1++eVfqGtIg3/Y7XZ6/vnnCQC9+OKLlJycLCl2GhcXJ/5Oo6Oj6bPPPhPvI5vNRiUlJcRxHGVlZYm/KbfbLfEa2O32L3zNEZjtBKjAa5OdcxWQlA6gUoDiAVol107NpoRQUgAkD98UnJcIoEJme1wFSS0Y+jsHQCmAu5S8qZFYUu+//z5xHCdaK+3t7WJZCWFd6cCBA2KtJ4fDIVoXAuGUlpaK8VMpKSl+LR81mQlqamqCZp7geZ6io6MDxiQVFhaqXj8ZHBz0yQY/HKdOnVIdVCgEK6slC57n6ejRoyEFzBJ5LIzjx4+HnPPM7XZTRUVFyPkEU1NTFT+UCOjo6FBVz6qxsVF0/WRlZRHDMPSrX/1K1TU1qMfAwADddtttBID++Mc/StzJFouFdu3aRS0tLdTY2Ciuo3Z1ddH27dsl1RMcDgelpaWJ95h3SiQiEr05w/H++++HPPYvyJKaCtDkof8fBqheSZ8Brxd8QFjjtd0B4GMAfxvRRRW6+4ad8z6AXyvpf6TCCbPZLE64tbW1VFdXR8XFxRIxQExMDCUmJlJPTw9t2rSJ7HY7JSQkUH9/v6TcRmlpaUC1ntKJtrOz02+qHCKPuzEY+fA8TxkZGaon54GBAUlJEm/odLqg7kc5DA4OqioCKMBms4VUh8r7uiOtdGs0Gun8+fOqx97V1aU6A3xTU1PAqslyECTq3p/T66+/TmPGjKGioiJVfWlQDqfTSU899RTdf//9Yr0n799se3u7OIeUl5fTP/7xD8rJyRG/r/LyctHj4n2P8jxPu3btknyfDodjxJ6A4fgiSEqmbQtAqpdsJH2EdBKQNqKLAn8fJpzwIT0AkwBM8fo/C8CDSvof6ZqUvxggk8lEBw8eFP3/RUVF1NnZKU76tbW1dPz4cbLb7ZSbmxvQFRQXF6dIZOBwOBStXcgVSfRGV1eXalk4z/NUUlIS0I1XUFDgl8D8QWmwshwKCwspLS1N9XkCcnJyRhT82tLSEnKF3urqatVqSqPRqErc4nK5KDIy0ieoc3BwkObOnUurV6/W3H5fAniep5dffpnCwsJo165dlJeXJyGR5ORkqqqqooaGBvEe0Ol0lJKSQrGxsZJ7qq+vL2jJjcTERDEsxhsXwZrUPICYof/XAdQmvA51U0IoM7222QAeUGL5BOlzFoAkeCToSQBmDu1fACBu6P9lQy6+UgCVAN5R2v8Xoe4j8pjn27dvp4GBAcrIyBBVdWfOnKHW1lZqbW2lzMxM6u/vF6XntbW1Ykr9QG63/v5+RW4+q9VK2dnZfo/zPK+o1lRtba3qdEFut5sSEhJkLUG32x1SLBTP87Rjxw7V1XWJ/l1wMlQ3m5raWP5w5swZ1WN3u92KkgQPPycpKUkVIQbLQHLq1CkKCwujtWvXjjguTIMUf/7zn+nZZ5+l3/3ud2S32yklJUX8PjiOozNnzpDRaCSTyUSff/45nTp1ShQM2Ww22r17t2TN0Zvgzp49KyuYkfsdfAXqvkMAdQPkBqgDoB8D9DpArw8dfwOgyqE1qRyAbg/WZ9BrBh8UmgE0Df2tB3AOwJ0jvfCXuY3U3VdQUEBtbW3EcZxYIr66uprq6uqI53lqaGigLVu2UG9vL7W1tVF/fz+dOXOG2traqKGhISCpNDU1UXJysqJxVFZWBnVt9fb2SlL1DwfLsqonSCKPezHQE3d3dzfFxMSo6lMIalYarOwNk8lEW7ZsCdnFodPpaM+ePSErAa1Wa0huTSKPgCYhIUHVtd1uN+Xn56s6JzY2Nmi82JkzZ2jChAl05ZVXhlzp+JsOnufp97//Pc2fP58WLFhAS5YsERP+trW1SVx1g4ODlJaWRllZWdTd3U1ut5vsdjslJibS8ePHRXe/QFhtbW0+noKmpiaJZczzvKTI6hcFpZbUV72N+gC+jG2kGSeamppIp9NRd3c3Wa1WslqtZDKZ6NSpU1RbW0ssy1J1dTWZzWaqqqoit9tNTU1NYgr9QBaG3W5XvC6RkpIS0BoTjgW6WQ0Gg5hqRQ2ys7NlF2aJPEq+UH4gGRkZIWUYFyzOUEtnCEQ/kh91RUVFSCrEpqYm1cRaWVkZkqVpNBoVWecXLlygGTNm0GWXXUb//Oc/R7xG902Cw+GgH/zgB2LQ9CuvvEI///nP6c033ySbzUbp6ekSN7+wzkTkKSS6ZcsWcb27tbWVzGYznThxQrw3LRaLxL07ODgom9haiMccjm9UxgkA3wu0jfbAA20jzd0n3DBJSUlUW1tLn332mVgG/MCBA3T48GFKS0ujgYEBOn78OF24cIF0Op0Y4CsHp9NJJ06cUDSJDA4OBpUb8zxP27dvD/h039LSonpid7vdAYv9uVwuOnTokOpElhzHiQl21eLAgQMjKvK3Z88e1fJtb6jJ4O4NIQO82jWgwsJCVUrJ5uZm1RWAq6qq6O677yYANGfOHPrd735HGzdupI0bN9KBAwdGnGj36widTkd33XWXqNwTfuttbW3U19fn852VlpZSTk6OSEY8z1NeXh4lJyeLISBut1sMvNfr9T5CqqSkJFVu+m9U7j4AuwJsO0d74IG2kWZB//vf/y5xsxkMBrGIoZDNwWw2k9FoJIPBQGVlZcSybMBS5cJ6lRLU1dUFVHTZ7fagFXiFnF9qE8d2d3f7DSzu6uoKafLq7++n3bt3q7ZkBHl6qMG+HMcRx3EhCx2IPFaYkH9RDQYGBlSrKK1Wq1/rNRDcbnfIaZ3S09PpueeeEydfYXv66adH9Ll93XDhwgX6zne+QytWrBCtFe8abd3d3ZL1IIfDQcePHxe/088//1x0r+r1eioqKqL+/n6J+q+iokJWDCE3Fn/tvpFZ0C/FbaT1pASBRGpqKqWmppLFYqGmpibauHEjlZeX0+7du6m0tJQOHz5MVquVDhw4EPDmEKLLg4Hn+YAycwHJyckBK3AajUbVcThEwUvGx8bGKhqfN4T+QhlPeXk5xcfHqz5PQGFhIZ0/fz7k84U0VaEQZHZ2dtAM9cPR3d2tqkSJkIVgJBMTkWdia2pqEhMS//3vfycA9Pzzz4fsYv26gOM4+vDDDyksLIzWr18vcfmazWbKzs72cZcajUaqqqqic+fOid9NY2Mjbd68mZqamsQ12YaGBlEZK3ePVVRUyKr17Ha73wegb3I9qUcA/B+A94RttAceaBsJSVmtVtFSamlpoezsbCosLCSe56mqqooaGxvJbDYTy7KUnJxMLpcr6MRdV1en6KnaarXSwYMHA04MQnxEoHWOwsJCRU9k3uA4jnbv3i3rmjKZTCEp44T4jlDP5Tgu5PUSbyssVERHR6suYMiybEjKuaamppAszVBzJRJ5JtnDhw/L3kt/+ctfCAC99NJL3yii4jiOPvroI9qwYQNdddVVNHnyZBo3bhy9/vrrkvu4vr5efIjZtWuXxNWXnZ1NFy5cIJZl6V//+peYgozjODp79iy1t7eLyQAExMfH+zzU9Pf3y95LSrLKhIJLlqQARALYC6AdwO/gyUq+Y7QHHmgbCUmlpqZSUlISWSwWstvtZDab6dSpU5SamkrJycmUk5ND//rXv6i3t5eioqICrt90d3crDp7U6/VBb7zOzk7at2+f3+M8z4dUStpms5Hb7fY7SZaXlwdULPobCxGFRFAOh4N27NgR8rpIqC46AUIW+0CfiT90dXWpTlfDsiwdO3ZMVZByRkZGQPeyEvA8H3Ct74MPPqANGzbQunXrRhR/c6mgv7+fHnzwQQJAa9asoWeeeYZ++ctf0sGDB31qyyUmJlJfX5+41iqgr6+PDh8+LN73fX19dPr0aUpLS5N8vwcOHJA83DqdTskDlTD3DAfHcbRnzx6/c0UgD0swXMokVTbs72QA50Z74IG2kZCUsB4TGRlJ+/fvp7q6OtLpdLRjxw5qaWkR8941NjaKN6k/DAwMKF6HOnnyZMDgX2HCDjRx63Q62r9/v+qJNS0tTdby4jhOtXtPQHp6uuogX2+Eom7zRqhiByLPU/Lx48dVnxfKA8Lg4GBIlXzb2tpCTutE5MmYEmy8NpuNtm3bRrNnz6bw8HD67W9/G1L4wKWAzMxMWrhwIUVERFBkZKT4G2pubvYhD+FzKy0tpYSEBPHY4OAgbd++XVTfnThxgpxOJ3EcRz09PZL6c97zRklJiY9gor6+XnWIBxEpSlTtD5cySQn1pHKGgm0jAIw4H9OXuY2EpEpKSqisrEwM/vzss8/IbDbT6dOnKSYmhs6dO0epqakBLSSWZUVzPxhYliWr1RqQWDiOo82bNweclJTI0eUgiBLkzhsYGKDo6OiQ1mQsFktIrrpz586NyIUVGxs7ovOFz0Jt6iWWZWnnzp2q33NGRgaVlpYqbt/d3S1bMVotmpub/d6fTqeTYmJixAei/v5+eumllwgAPfbYY18r5Z/L5aLf/va39Pjjj9ONN97o87s+f/68RBna2NgopsTieV58wLDb7ZSdnS1+N3a7nWJjY2n37t1iG+G3PrywZ0FBgeIYvLq6OlX3ixpcyiT1LoDpAJ4E0AOgG8DvR3vggbaRkNTWrVuptLSU0tLSqLm5mVJSUujjjz+myspK6ujooJiYGLJYLAHXOlwuF2VkZCjyG9fW1opl5eUg9BHoaZvnedq9e7fqhKt9fX20c+dOWRLq6OgIiZx6e3tHlJ25t7d3ROtISjN5yEGo36OWoEwmU1C15XDwPB+StWcymVSvk3mjoqIi6CTH87xsAt3PP//8a6X8q6mpobVr1xIA+ulPfypxTbvdbp/fk/B9uVwu2rFjh+Q+jY+Pp4KCAtLr9ZLfYldXF50/f14sPiooAQXIufQMBoPEQvNGX19fwDjMYOmUAuGSJSlJY48VNW20Bx1sG2mcVEtLC6Wnp1NMTAwZDAbKzs6mbdu2UU1NTVBzurq6WvFTkeA6CURmZ8+eDTipOByOkNZOhElGbkJnWZYOHToUkjuJZVnVSVSJPOttSjNxyKG9vZ2SkpJCPl9AKGtoCQkJqlNO9fb20v79+xW39xbqjAQ6nS5gzFhKSkpAOftHH31EAOiFF16g8+fP0yeffEI/+9nPKDY2dkTj+irBcRz961//ovHjx9OKFSto69atPm1aW1slD4/DH2C8XaUDAwPiGijP83ThwgU6ffq0GLNksVjIZrNRd3e3JI6J53natm2bz8OKzWbz+yAS7PsfiRfhkiWpodx5vwGwfLQHq3QbCUnt3LmT2trayGw206ZNm+jEiROUnZ1Nu3btUiTtzs7OVrQ24XK56PPPPw9oNQjuhEBPrZmZmaqzOAiBwHKWV19fX0jrDhzHUVRUVEhScyLPDzOU2kwC7HZ7yOtnRB7BjFqiEaqqqpWpC1axmnNYlvVJWqoGJpOJzp07F/SadXV1QdfI/vjHP4rl6QHQ+PHjCQD953/+54gy1H/ZYFmWampq6Nvf/jYBoIceeoiqqqp8AmCHZygR1pV4nqfc3FxJ+Y2+vj7avn07ud1uio+PF9egu7q6qK2tjeLi4sTfb2dnp08laLnvI1Bs48cffxzQpTyS5MGXMkktHpKfF8JTnffXAK4Y7YEH2kZCUn//+9/pb3/7G0VFRVFZWRkdPHiQysvLJYuecjAajYonWWEtIBAZtLW10bFjxwL2I6wnqZm4gq25nD9/PuSS7M3NzaotOo7j6Ny5cyGJB4g8n2V8fHzI5wtQUupkOJqamig6OlrVOcLTs5og64qKipBEGd5wOp0BM7BXVVUpjuuy2Wy0Z88eSkxMFN2z//3f/00A6LrrrlMd/vBlIjMzkzZs2EBz5syhMWPG0C233ELTp0+nrVu3UlVVlY9lwvM8bd26VWJRp6SkiMH1/f39Estn37594u+ltraWtm7dSnl5ecSyLLndblEVOTAwIFkDdLvddOTIEZ/r2+12ioyM9PubDvb7+sc//hHkE/GPS5akJI2BK4fk6NxoDzzQFipJud1uysvLo56eHvrb3/5GBw8epP3798sG7A1Ha2urmKMrGM6cORNwwhCIJFgW9R07doSUk0/O8rLZbCEXEczNzQ0pUwKRh6SKiopCthB4nqfS0tKQ8/INDAyEpKISSF7NuFmWDSkDRnFxcchqR6VFFvv6+gKGUwgoKyvz+4CTkJBAc+fOJQD0yCOP+M2a4nK5vvR8gR0dHfTCCy8QALr88svptddeo3fffZf++te/ijFpsbGxEpe2YC15k4kQk2g2myVl3YWUV01NTdTZ2SlmnrDb7XT+/Hnq6uqSfJ4nT56ktrY2Sb9qE/z29fWF/ACpBJc0SQFY4mVN5QH4n9EeeKAtVJJyOBy0efNmSklJoc2bN9PRo0dp8+bNAX/gPM9TfX294klSuJH9KasElVggt0mg9aRg13a5XLJ919bWhrwm1N3dHZIIoLa2NqRyHwKqq6tHlNOPyPMZqvXju1wu2rhxo2qBR1ZWFqWnpytubzAYRpSLjYjEumf+7hW9Xq84K4dAeIFcSkajkf70pz/RzJkzafHixfTyyy9LSFmn09ETTzxBK1eu9PnuhCTO27dvpw8//DCkopg8z1NkZCRNnjyZIiIi6Le//S1ZLBbq6+sT71G73S57vxYWFkoKmxoMBtq+fTvxvKcCt3d16rKyMjp58iSxLEt6vZ4OHTpEWVlZktpygmU6/D1wHCdWVBiOuLg4vwTe1tYWVPQSSgJnAZcsSQHIBVAET3HCZaM9YCXbSNx9W7ZsoU8//ZQ+/fRT+vzzz4O6kex2Ox0/flzR03FbW5si91Ag104o7iIizw9u3759Pj8MnudDJor+/v6QMoMLqKmpGRFJ1dbWKnr6lwPP85SYmKi6/IbT6RSDfdVej2VZVet93d3dI3Kd1dXVBXVBOxwORUTY3d2tShBjMBjo3XffpUmTJtGTTz5JTqeTjEYjrVu3jtauXUtz586l6667TnSr1dXV0dVXXy3mDrz77rtp7dq19PHHHyu+ZktLC917770EgO677z6J1VFUVCS63qqrqyVkJIDjOJ8HOJPJRJWVlZL7RKiwazabKScnhxwOB7EsSzk5OT4xT3a7nTZv3ix5KDUYDHTmzBmf6/O8pzrvSLL1+1MFKsGlTFLXjPYg1W6hklRNTQ3FxMTQ+++/T7t37w5qWqtNuBqs8F5SUlLAekByZcHVXFsuxYrRaKRDhw6F9MOwWq1B6xfJweFwqM5rN/z8kcaK8DxPZWVlqsnm+PHjql2bRqNRfCJXOjY5CbhaNDY2+hWTsCxLcXFxitfyqqurFQtLenp6xH4/+eQT0f338MMP01VXXUWnTp2ixMREGjt2LG3YsIHi4+NpxowZNGvWLDp16pRYKufJJ5+k8PBwn2wnfX19dPToUfrZz35Gq1evpiVLltDs2bNp+fLlNHnyZEkwLpE0MFzu/bpcLtq7d6/kAeLUqVOipZeVlSU+FDocDtq+fTs1NTWR2+0WY6EE65LjONqxY4fEjehteQYS2RiNxoDf+cGDB7+Qwp3+cMmS1JdyUeBpeKrt8gDWBmj3IIBaAA0YKjevZAuVpOrr6+n999+nP/3pT4p8v3FxcYrcTRzH0YEDB4KuC+h0uoCTRlpaWsDs6P5w+vRpWYLq6uoKObt4UlJSyGIFvV6vyu01HIODgyM6v6WlRXWskWA9CZaUWqhxhw4PplULq9UaND2OQNLB3ovb7Vb9IJKamioh8sjISAJAV1xxBW3fvl3cf+DAAdFyWrlyJTU2NkrEKIODg7R06VJatGgRDQwMUF1dHb344ou0dOlSAkCTJk2i++67j1588UX6xS9+Qe+9957POo/FYqGdO3eKa0ubNm2SDa0YbpH39fWRxWKRrCMJ7s7W1lbq7OwUiau3t5c2b95MbrdbfJAk8nhOhn8Pzc3NdPToUdnP7ciRIwHnk76+vqAJArZs2RLweCAoISmAdgLUF6B8PAPQpwA1AFQG0OpgfQa95kg7COmiwLUArgaQ6o+kAIQBaISnjPy4ISn8SiX9h0pSycnJ9P777weN+XA4HKqfaDo7O/1OCO3t7XT27NmA5/M875PfSyna29t9bm6e5yU5xtSA4zgqKCgISexQX18/ooSlDQ0NIw4kbW1tVb0AXVlZKeuiCYbjx4+rckl2dHR8IUrFQA8zFy5cUDwmvV5P8fHxiojZbrfLPgw5nU7atWuXrEAlMjKSfvjDH5LBYBDj/bzXZPLz82ncuHG0fPlyCgsLo+XLl9Pbb79NWVlZIokPDg7K3ove2VSEbfi9U1RUJEld1tHRIbqwOzo6JG7BxMREio+PJ7fbTUVFRbRv3z7RXc1xnM89otfrfdY7h7+/4fD3OSsVNo0kDEMhSd0F0OoAJPUwQPFDZLUeoNxgfQbbGE/HowOGYVIB/JqICmSO3QbgfSJ6YOj12wBARH8O1u+kSZPIarWqHs+v3v8LxpMbCWPWYdzYMEyfMA6XTYnAZVMicPmMCVgxZzKWXzYZMHahp6sT9913X9A+8/PzMWXKFFxzzTV+27hcLgwMDGDBggWyx/v7+3H+/Hk8//zzYBhG8fupr6+H0WjE2rVrJfv1ej0mTpyI8ePHK+5LQGVlJWbNmoV58+apPpeIEBMTgw0bNmDKlCkhnR8bG4tvfetbmDZtmurzOY5DeXk5brzxRlWfI8/zYBgGTqdT9WfW39+PWbNmYcyYMYrap6SkYMWKFVi0aJGq6wCez6ekpATXXXcdxo4d67ddY2Mj5s6di8mTJwfsr7m5GYsXL1Y89qamJjQ3N+Pee++V7LdarSgqKsKdd97p93O32WzYu3cvfvKTnyAsLExy7K9//Suqqqowe/Zs/O///q/PvXfixAmsXr0aixcvluw/c+YMVqxYgWuvvRaFhYWwWCy4++67JW16enowduxYzJo1SxzHwMAAJk6ciFmzZonj7enpQW9vL6688koMDg5i4cKF6OnpQWlpKebPn48bbrgBRASHw4EJEyago6MDs2bNwoQJE8RrdXR0wGw249prr/V5/4WFhZg9e7bPexBQ39CEgvJKTFm+BvW9FnQM2tFndqDf7ITR7obDzcHh5jF/PIvkdx6V7SMYGIaxEdGk4O2wBEAMEa6TObYFQCoRDg29rgWwgQjdIQ0KQHjwATEF8BQ6PEhEg6FeKAQshCfzuoAOALf6a8wwzGsAXgOAcePGhXTBK+74HkxNxXhs3kI43DwMdhf6zE40N1txqsQOfojPw8cwWLlgKjJtlVi7ZAbuXDEb0yfKX3Pp0qUID5f/mFmWRWxsLB588EG/BAUAs2fPxkMPPaRqYgWAOXPmYNIk33uuoqICs2fPxsqVK1X1BwAMw/hMIkpgMBgQFhaG7373u6rPBQCz2QwiwqOPhvYDBACn0wmdTqfqHLvdjj179uDVV19VRVD19fXo6+vDHXfcoXhsJpMJ3/72t1WNzxtEBL1eD57nZY83NzfDYDDg5ptvVtRXaWkpZs+eHfSBgojQ2dmJZcuWYdmyZZJj5eXluOqqq/Ctb33L7/lutxsTJ07ED3/4Q597i4jws5/9DEajERkZGT7fgdvtxhNPPOHz2yAiPPTQQ2J/N954I5xOp+S8vLw83H777WAYBkSE9PR0rFu3DosWLcK+ffvwxBNPYOrUqejr60N2djauvvpqOBwOpKSkYOnSpbjjjjswc+ZMMAyD06dP44477hDJrq6uDldddRUuv/xy8ZphYWF+Hx4uu+wyyUODxckiq2EA+S16FLYOoqLTBBc3BsgtBsMA86aOx5wpEbh8xkRcv3Asxo8Nw/ixYzC2r8bv5xwcs8MZBt4Gw1YibFXZidy8vRAInaSUuOZWAPgTPOtChwE8AHgssCDnJQKokNke92qTCv/uvqcBbPd6/SKAz5SYhyNR9/mDw81SbY+JYsu66K/x1fTclmy69t14WvxmDC19K4b+Y2MmfZZUR039Hn+30WgUE1H6A897qvX6a8PzPB04cEC1vNvpdNL58+d93GoulyvkoFCj0Tiicg2FhYViyexQUFpaqrpciDdaWlpUu0qF7yWU9FBWq1VVyfqmpqYRFWhsbW0NqvjU6XSKynuorSpssVjo0KFDsi7lxMTEgH0Fyn7S3d1NH330ETkcDtn1uY6ODtnUUr29vWJJG7fbTceOHfNxodpsNsrKypJkJc/Ly/MpW8PzPFVXV1N9fT0NDg4Sz/Oi4s+7Fldra2vAIH2z2ezXTW2z2Tx16QZttDWtkZ7dkkXL346lxW/G0JXvxNGTmy7Qn2Kr6GRxB1V2Gsnu+nLqe0GhcAKgJQHcfbEA3en1OgmgNUr69bcpdvcxDDMGwKMANsMjeNgJ4F9EpA+VIC82d59asByPsk4jUmv7kVbbh9IOIwDg+oXT8Oiq2bh5hgvrbr5B9tycnBwsWrQICxcuDHiN3t5ezJkzR5UV5Xa7UVlZ6ePWamlpQXV1NR566CHFfQkYGBhAa2sr1qxZo+o8Gnq6F54wQ4Fer8fMmTNDPh8Azp8/jxtuuAFz585VfM6xY8dw2223SZ6Gg8HlcuH8+fO4//77A7rcvNHX14c5c+YovoYcCgsLMWvWLCxZssTnmMViQVZWFr7zne8ouo9ycnIwefJkXHedjzfHB93d3Zg7d66PS7CzsxMRERGYPXu233NdLhfGjh0Ll8uFiIgIn+M8z6OkpATjx49HY2OjxAonItEFO/xcIoLZbMbUqVNBRGhubsbSpUvF997a2orZs2eLXobOzk4wDIMFCxYgLy8PNpsNGzZsABEhOTkZAwMDeOqpp3D06FFcdtlluPPOOxEREYGuri5MmzYNNTU1okvd5XJh69at+OlPfyr5/jMzMzFu3DisW7dOMlaTw419Z5JR2dqHuAHPPX7NvCm4++rLsOGqOVi9eDoiwtV7LkLBxeruU8RkAG4A8Ak8SrtP4XG7/Q+AkpEwJAJbUuEAmgAsxb+FE6uU9PtlWFJK0Dloo23pjfTdzzI8T0G/iaM3DhZRVsOAj7XU2NgYMCgyJycnJMuluLhY9ok6lKSvRJ4nyeLi4pDFDoODg7Rnz56Q5dRms1lUZ4UCu92uOluDsMgeTBIsB47jVMnHHQ4H7dq1K2Qln91uD5q5wOVyiVm4A0FtVWGe5ykqKkrWOi8rKwtaSy0+Pl42lIDjONq4caPEyzD88zl69KjsPX369Glxf2Njo2y4QHp6ukRgUFtbS7W1tWKCWOFe1+v1lJWVRU6nk5xOJ7EsS+np6ZSfny+q8AYHB6mwsFDSv7/v0vueKG0fpP87VkrX/Nbjjbn/o1T6LKmOWgZCrxE2UuCLsaQeGSacyFPSZ8DrBR8QCgEkAfg+gIhhx46HdFHgP+DxVToB9AI4O7R/AYA4r3YPA6iDR+X3jtL+R4ukvFHbY6L3T1fQ9b9LoMVvxtAjn6bT6ZJO6uxSFqA5ODioOtCUyFObRi6r8t69e0MiGpfLRWfPng1pEjWbzaqTr3pDqLM1knih+vp62cDNQCgtLaWUlBTV1youLlbl4jMYDBLJcijo6urymymE53k6d+6cYtedmqrCg4ODsio1p9MZVN4vKFVdLpffh4/8/HzS6XS0c+dO2d/BwMCA7LmdnZ2iW62trU0SzMyyrCTDO8/z4lhtNhtt2rRJPLe5uZmio6PFnIbR0dEigdfX15Ner6fu7m6Ja6+pqUn2vjl37txQyXeekqp76OnILFr8Zgxd+248vRVdSmXtBp9zRgNKSAqgQwB1A+QGqAOgHwP0OkCvDx1nANoIUCNA5QD5DTFSugUjkzEAfjPSi3zV28VAUgLsLpYO5rbSt/+eQovfjKH7/hxL22Myyc3K/zh1Ol1IZQ8GBwdlnxp7e3tDtkJaWlpGVP113759IVtwRJ64kZGUSFeblUOAkB1BLSorK1Vd8+TJkyOqDdXY2Bh0zbOsrEzRw4natcqcnBzZwp99fX1B19YCyfkTEhIk9//wz7O7u1uWCHp7e8WCgzzPU2Vlpc99393dLam4bDab6fjx4+Ln4026JSUl1NjYKFpXFRUVlJ+fL8kTKZCPAJvNJivt7+7uoVMFzXT/x2m0+M0Yuu3DRNqW3khG+8VVPFKpJfVVb8EbAOmjPUi128VEUgI4jqeEim569FOPK3DD31PoZHEHcZx0knG5XKoTTxJ5FpHlAjiPHTumyoXjjczMzJDiLoQM0CNJGut2u0cUT+V0Omnbtm2q0hCZTCbav3+/6nGbTCZVGTRYliWbzTYiC8rlctGxY8f8ikEKCgoUE7yaqsKBXIINDQ1B35Pwvv1Z5i0tLZSZmUkNDQ2yQhmr1Sqba9FoNIpBx06nk06fPi0RKgx/2NLpdOL9lZCQILom3W435eTk0J49e8jlctGmTZvEgF6TyUSJiYli/k1vCNaVN3iep6iUfPruP5Np8ZsxdM8/Uii6sJ1cfh5QRxuXMkm9C095jkUAZgrbaA880HYxkpQAnveQ1QOfeJ6qvvtZBuU36zz7ExJU12PieZ5qamp8Jgej0RhypmmbzTainHpFRUV07ty5kM+vqqoKWlwyEISJMJTkpKFYfv39/aqUizU1NQGrMQdDT09PUPJtampSFKittqpwZ2cnnTx50mc/y7J0/PjxgCm7DAaD35I3zc3NdPjwYZG8zGazzz1YUFAga9kXFRWJpGE0Gn0IhOc9lau9XX1nzpwRHwYNBoP4eep0OoqPjxdf6/V62rNnD3V3d4tjMxgMtGXLFsn7yMvLk9w7lZ1Gem5LNv3HO5F071/iKbqwnVgu9IeSrwKXMkk1y2xNoz3wQNvFTFICOI6n6MJ2uvVPibT4zRj6+f4CSs8tUm09OBwOOnnypM+TaU5OTtDUOP7Q0tIScuJYYcILVQggrNGMpIR8bGysIqGAN06cOBGSPL+qqkrVdya8r1CtTCJPzS9/1nZnZ6eq1Fnx8fGqcvLJobu7O2iWDOGByZ8M2+l0UlRUlFgJW45oMjMzfUiQ53lKTk4W22dnZ0seGIR6a8LnLWR84Hnep0xLR0cH7dmzh3p6eigxMZEKCwvF886ePStxr3p/596uYZ3FSW9Fl9KSt2Lopg/O0p6s5ovWchqOS5akLsXtUiApAVanmz45X0tX/zaOrn03nralN/pdrxqOnp4en8l8+OKwWnjnKlMLq9Xqk/FZDVwuF0VGRo6IoFwulyrLQEBHR4dq4mBZls6cOaM4jZHD4aCNGzeGTOBOpzNoahyDwaBoncu7qrASuFwu2rNnj+x3k5KSEjDNFMdxtGXLFlkvgc1mo3379okKTI7jKCMjQ0JmVqtV1rI3GAySBwu5sVVUVEiIqKWlRcyd512mhed5On78OLW1tRHP82Q2myk2NpZKS0slHomkpCSJa9flctHmzZvJ4XDQkbw2uvGDs7T87Vj64HQlGawX15pTMFyyJAVgIoDfAtg69PpKAI+O9sADbZcSSQlo01npR7vyaPGbMfTgP9MVKX4SExN9nqg7Ozsli8Nq4HA46NChQyFNoiMJfPU+fyTlr9va2ujgwYOqziktLZUVAASDkIBUKUKtAeaNhoYGv6UY7HY7nT17VjHRNjY2Kr5P+vv7ZR88HA5H0Acii8VCHMf5fXDheZ7S0tIoPT2dDAaD7HqXP8u+pqZGFEvYbDbauHGjbECxYH0J3wHLspSZmSmqYG02G5WWllJiYiINDAzQyZMnxTXV3t5e2rVrl+T+9rbmeJ6n+l6TqNh7avMFqu0J/R4eTVzKJHUEnoKHFUOvJ4w0PurL3i5FkiLy3PDx5V207k/nadnbsfT3hBpyuH1/3G63W/aJOlSBBJH/iUgpTpw4obp4oDfOnTs3ogJ/wiSi1gob/jSuFDk5OapcilFRUSOqqhos1svtdisuX6K2qvCpU6dkLezm5uaga48nT570m0X9zJkzEquvrq7ORyzhb13NW6QgfPfe1hfLsrRnzx7RCuJ5nrZs2SK65oqLi0ULWCAoQUxRXl5OO3bsEH8PghAoLi5O8pBRV99Af9t6gK56J45ueP8sHc5r9RFCXUq4lEmqYOhvsde+0tEeeKDtUiUpAQari/77SIknyO/jNKroNEiOt7S0+AgLXC4X7dq1S5WazRtnzpwZkdzbYDCMiOQMBkPIbj6O42jbtm2qrDCDwUCxsbEhiSvUuFOFNREhI3cosNvttGPHDtn1HJ7nKSUlRbFk3ul00qZNmxTdJzabjUwmk+y4g8WDOZ1OstlsAYmwsbGRIiMjye12y5IRz/O0a9cun7g/l8tF27ZtE++X8+fPywa+Cw9twvjtdjvpdDpJqIbRaKSTJ0+S1Wql5ORkkfxsNhtFRUWJD14sy0rk5839Fvrexgxa9VY0/Xh3PvWaRpa5/mLApUxSWUPWU9HQ6+UARhxF/GVulzpJCUiq7qFb/nieVvwmlramNRLH8eJk5D1xCFZQKJOg0+kckYutsbFxREq+np6ekOLChkNtXFModZKIPG6+I0eOKG5fVVUlW6JCKYSsF4G+27KyMkWkIxCl0oeJ0tJSWTeb3W6nPXv2BCyZUlxcTElJSbLHSkpKKC8vT3xfLMvStm3bJGs/gotw+PsW6nl577fZbJIHnNLSUsm6UV5enlhWvaOjQ3TvCmuoVVVVYizU0aNHxfUvs9ksuvyE+Cee5+lofhtd+248Xf+7BDpe1D7i4pQXCy5lkvoOgDQA/QAOAGgBsGG0Bx5o+7qQFJFHLfTqnnxa/GYM/WBbFn2+abOPwunkyZOKii/Kobq6ekQlp10u14iEGi6XK+SxE3lqIw1PSxMIQhaGUIhZOEdNhV1BoBAqjh075tfCLS8vV+VCjIqKUiSq4HledIEOf6/+Mj14nytYRf4+J4PBQFFRUVRZWUksy8pm3SgtLaX4+Hifc1NSUkT1osVioejoaJ/xDAwMSO5Jh8NBZrNZos5zOp1UW1tLjY2N1N3dTdXV1eK5PT09Ek9FXV0dlZaWksHmov88UEiL34yhZyKzqHNQfYXsixmXLEl5xo5ZAB6BJ8Hs7NEedLDt60RSREPZ0HNa6erfxtGa35+jC/WeCcRqtYqph0KBnFWmFC6Xi6Kjo0N20fE8T/Hx8arjwobDYrGo6oPneSovL1ddOJHnedq5c6eiwnNEHmtj27ZtIRdodLvdZLfbA343ra2titYhheBol8ul6LvW6XS0f/9+2bbHjx8PWj32wIEDsufqdDo6c+aMuMbD8zzl5+f7WFyCpTT83hJIX/hMOY6TCIfcbjelpaWJlqLNZqMjR46I1/POhh4VFUUXLlyg9vZ26uzspMzMTDG9lNvtFt+j4P4razfQnX9NouVvx9LnyfUXfcxTKLhkSQrAXXLbaA880PZ1IykBtT0muvejVFr6Vgz9K7GOioqKKSMjI6S+rFYrbdmyJeR1JJ7nqb6+PmSC9Je6RikMBgMdP35c1fWrqqpCEi8Isna1Yw01LRORx5LwV625v79fdF8pQXl5uWKXqiDQGP65OhwOMb5I7bkC3G43FRQU0IEDB8R9w8mI4zjavXu3j/VpNptp27Zt4ndQXl7uE3jtdDopJydHUmajpaWFTCaT5Boul4sKCwuJZVkqKysjjuPIZrNRW1sb5eTkiA8iHMfRjh07aGdKFV35mzi67cNEKmwN/Tu92HEpk9QZr+08ACOA5NEeeKDt60pSREQWh5t+ebiYFr8ZQy/tyKVBi3qhhDDZhEoQalLuyKG+vn5ESjcizwSidgytra2qSrkLyM7OprS0NMXtT58+PaLPR3ja9/f9mEwm0T0VDMK6jhKLVyAIOVdoSUmJ3zUmIg8B7dixQzZmjGVZUZwgxCC53W7avXu3bHt/7mNvAUVVVZVEldnS0iI5npOTI6b0unDhghjgW1dXR8eOHaNz586Rw+Gg2NhYSklJEdfDSkpKxPgxi91F/3XQ49774c5c0ofwW7uUcMmSlM8JnvRIh0Z74IG2rzNJEXmeEPfntNCK38TSt/6aTNXd6kQDhw4dGtE6kNKUO/7Q2to6oqDhpKQkxW43Is9TeKgFE4VJXo3bbmBgIGQ3n8lkosjISFmCcrlcdP78ecV9qwmuNhqNkmJ/w48R+beQ+vv7g2Zzr62tpYMHD0q+t+EKwZqaGtmYtaSkJNGtx7IsVVdX+1wrNzdXkvG8oaGBjEajuH4ruBA7OztJr9dTT0+PmD4rLy+PzGazpLRIRl4J/ezDrbTkrRj6NLHukpaWK8XFSlLSSmXK0AH4FrvS8NWBYRi8cOtiHH7tNjjcHP5jYxZiy4LXFOM4DizL4umnn1ZVyE+AyWRCXl4eli5diunTp6s+3+12o7CwEIsWLcKiRYtUny9gwYIFklLbwUBEskX1gsFsNmPHjh0gIoSHhwdtX19fj9TUVMyaNUtR++FwuVyYMmUKfvzjH/sUEQSAMWPGYObMmT4l1uXA8zwmTpyIF198UVH7nJwc1NXV+RRFNBqNiIqKAhH5LZiYmZmJrq4u2eMXLlxAa2srrrrqKtx7772YMWMGamtrUVFR4VOAcs6cObJFKVetWoV58+YB8BRwbGlpkbzP7u5urFu3DosXL4bFYkFhYSGWL18OANi3bx+ICBzHYffu3SgtLYXFYhHH0NnZiVtuuQU2mw09PT2eMTcM4I24HuQ4F2DnD2/BL+69EmPGKC86quELRjAWA/AZPIUOPwXwOYBMAPtHm10DbV93S8obvUY7/cfGTFr8Zgx9ct5/KXqikSd+NRgMVFJSEvL5FouF0tLSQl7H6ujoUBVAy/M85ebmhhQ7JowxUMLU4bDb7SMKqN69e7ff+KPMzExV1uOhQ4cUJQlmWdZvcUdhXSiQ2zGYcKetrY2Ki4slNdT6+vokY+N5nrKzs32ycZhMJkrxKsvhnblcwMDAAEVFRYljGBwcpIKCAnHMQntBZMHzvPg5NjQ0UHl5OfX19Ynt92Y107K3Y+k7H6dSc//oFSAcDeAitaSUkNQPvbYXANwx4osCTwOohKcMvd+iWPDI3csBlGAoqFjJ9k0iKSIih5ulXx3xrFP954FCsrvks1SMJPFrUVFRyIHCRJ4JYSQ5+Yg87iG5mln+wHEcpaWlhTTuI0eOKC5TYrfbKTo6OmQXnyDKCDTO8vJyRYQpuLX8BeEOR319vWxtJ0HNGCjTRX5+vt9ktq2trWLKIqPRSN3d3aKab/jnNFyVJ8BqtUoeSmJjYyVrmcMJsqamRry/o6KiRBdhRkYGZWZmUlRUFHV3d9Phw4eptbVVPPfYsWPU2dVN750sp8VvxtCPduWR6SKr9fRVQAlJAfQgQLUANQD0lszxDQAZASoZ2t4L1mfQawYfFCbCUz7+BgyrzBvyRYFrAVyNAOXj6d8kpVry/k0jKSLPpLI5tYGWvBVDj32WQX2mfxNCoHUOJeA4jhITE0dEMufOnVNdxt37+vn5+arG39TUFPL1iDxWo5p4KDXkORyBhBl1dXWq0kUVFRUpFnn4i2cSSqX7W8tiWTZoSROTyUQNDQ2SNTSXy0WJiYmSfgcGBmRVkBUVFZLQArmMHYcOHRIfJHiep7i4OFH04a1E7OrqIrPZLFqGdrudDh8+TE6nkxwOB5nsLnpxRy4tfjOG/hRb9bWUlytBMJICKGyo4u4ygMYBVArQymFtNgAUE6gftVsgIhkL4J8AdPCUkC8G0AngraHjN4/44hpJfeFIqOimq38bR3f8JYnqe03ixK40U/dwdHd3q3IzDYfFYhkRWRB5JqikpCRVJFVcXBySOKO6utpvOXY5pKenqyoZPxxCZgV/VlRnZ6dikQvPe8qyK4kbs1qttG3bNlkiSktLo5ycHL/ndnZ2+q33ZbfbKTY2VoxNKiwsFAN85bKClJWVyYolhISzRCQmeRUgCFmE+8FsNouE29bWJtbq0uv1lJCQQFu3biWdTkc7duyg1tZWkTQbGxtp78HD9MAnabT87Vg6nBe6IvPrAAUkdRtAZ71evw3Q28PafKUk9SmA7QCmeO2bCmArgM0Amkd88eAk1QygaIgkXwvS12sACgAUjBs3bkRf1qWOkrZBWvOHc3T97xLosy07RlTCvaSkhKqqqkI+v7a2VpV8ezjUlrC32WwhpTsS4HQ6VZFqfX29qnUrbwgTp5zFZjAYVMXAGQwG2rdvnyLrT7AS5do6HA5J/aXhCEb8LMtSRUUF1dbWSiTiJSUlPoUh5RSidrtdEiYgjNHbTV1fX0/R0dHi68rKSvGzYllWvK7dbqe6ujrxPbEsS4mJiWIOvopOA63/41la9V4CpdeFnjXl6wJgthOgAq9NMucC9BRA271evwjQ58PabABIN2RlxQO0ihTygb8t0KTfAICR2R8GYBDA+oAdA4kAKmS2x73aBCOpBUN/5wAohcIg4m+yJSWgTWelez9Kpet+c4pOl6gvAc9x3Ihk4kTBM3crQXp6uqoS9j09PZSenq76Og6Hg6KiohSv2XnngAsFwUqbWK1WVSXpeZ5XLNrYv3+/bNuuri7au3ev3/PsdjsdOnTI79qbd4LW4uJi8eFIzrJzOBy0detWn8+7tbWVzp8/L76OioqS3IcCuQqeAcHa4nmeTp8+LYpA0tPT6cKFC5ScnEwFBQWUmJgo5v3jOI7+tXk7rXv3OK3/MFF1CMfXFQosqadlSOqzYW2mAjR56P+HAaoP1KeSLRDJ1IVyTNXFg5DUsLbvA/i1krYaSXlgsLroqc0XaMlbMbQrU76Sqz/odDrVGR28EShztxI4nU7VFmBtbWB1YyDwPK8or52AgYGBkNehhOzecmsxLMtSUlKS4vU/nufp2LFjih4IbDab39RIAln4I+nW1tag8VaVlZVksVgkn6Nc1nVBxDN8HHKWlcFgkFTV3bNnj0hMDoeDtmzZIt5j9fX1YrxWQUEB2Ww2sZ5Vd3c3bd++nXiep5PFHXTDb47T/R+lUpfh65V/byT4Itx9Mue0ADSiVHqBSOEkgJdk9v8AwKmRXNSrL78kBWCS4Goc+j8LwINK+tVI6t+wu1h6ba8nQe1f4n2DIOXQ398/oszOQsT+SPpoa2tTlfjW7XbTyZMnQxJ3eGcnUHKdjIyMEaWTIiKf8hMCQhGJdHZ2KmqfkZEhu9bEsixt2rQpoFv11KlTfomwqqpKDITt7+8X0zkJhDF8bMnJyRJJOtG/1YTCulVvb69sglnh3vTOht7S0iK6pDs6Oqi+vp727dtHJpOJtm3bJhKv0+mkjaez6LF3ttLTkVlksH3zFHyBoICkwgFqAmipl3Bi1bA28wBihv5fB1Cb8DrULRCBLASQO0QkHwH4BzzZ0PMALBzRRYH/gCco2AmgF8DZof0LAMQN/b9syMVXCo9c/R2l/WskJQXL8fSb42W0+M0YejOqNKB6ied5OnjwYEiFAAWcOnVKEr2vFmrdhF1dXSELQ4g88nilWdGdTidlZWWFTMDp6el+3YR5eXmqMsoXFBQoilvzlqQPH7dAtv7Ivbe3N2gZlM7OTurq6hJl5gLS0tJ8JOpCaQ5vi01QEnqf63Q6JRkkqqqqJGtasbGxoju0q6tLlJs3NTVRbW2tGIel1+vp6NGj1NbWRn9LqKYr3zxJb2xLlA3T+KYjGEl5mtDDANUNqfzeGdr3OkCvD/3/BkCVQwSWA9DtwfoMes3gg8I9AH4B4P8BuHekF/wqNo2kfMHzPH10toYWvxlDP91bIFvx1+FwjKg4n/CEGyxFTiCwLEs7d+6U1BYKhuTk5JCqAuv1ep/F/ECoqKhQXbdqOKxWq1+hRWVlperCjUqS2HZ0dNChQ4dkj8XExFBlZaXfc/Py8vzmCTQYDOL6H8/zdOTIEYkS1O12S8jParXSrl27fKzQgoICyTpUfn6+j6VpNBpFFaWQCZ1lWSoqKhKFHpWVlZSbm0uNjY2UmJgoxlTpBw30dnQpLX4zht6KDvyQ9k2GEpIajW3UB/BlbBpJ+ceOjCZa/GYMfX9bNlkc0vWigoICSYS/WjQ3N9PRo0dDPt9ms6kq3uhwOEZUy0qv18tWdPWH7OzskDOb9/T0UFRUlOyx1tZWVZk09Ho9xcTEKPqcBNGCnDuQ4ziy2+2yx6xWa9AkuUKwrdPplFiyDoeDDh48KLseOfz7Eqw7b8sqPz9ffEhhWZaSk5PF4z09PbRv3z7xOufOnSOWZclisVBcXBy1t7fT4OAg9fb2Un19PcXFJ4g1oJS6u7+p0EhKI6mLBtGF7bTs7Vh6YmMmGayeH7/wxDuSgF8iGlFWiqSkJFUFDJuamkJK88TzPBUWFipW8g0ODkpcT6FAqPAqh56eHlVZ4d1ut6SOkj+4XC7avHmzrCuvvr6eTp486ffc9vZ2v6EDHMdRcnKy2G9JSYnEEuJ53kcZmpeX5/MeXS4Xbd26VbxnbDabz/tyu92Um5srKb9hMpmop6dHJLKOjg4yGo104cIF6u/vF7O1Gy02em1LIi1+M4YiU5WLYr6p0EhKI6mLCvHl3bTiN7H00D/TqaVngDZv3hwyQbEsS5GRkSOqQCtXFjwQRpIjj2VZOn/+vGJCbWlpUeUW9AbHcXTo0CFZGbbaXIZCVgUlwbqCeEXuOxU+Z7nvi+M4sZy6P3AcR3l5eZIgZKG9v5pdHR0dsuo9b8u0q6tLYsm3trZKKgQfPXpUfJ2ZmSmue8bFxVFjYyPl5+eLcXKxCWfphU2ptOStGDqQ880O0lWKi5WkQsmCruFrgAevm4ftP7wFTQMW/Gh/OR59+gXZzNvBQEQICwvDCy+8gEmTJoU0lr6+Phw8eBAA/Gba9obT6UR8fDxYllV9re7ubpjNZtx3330YN25cwLZEhLq6OlxxxRVYu3at6msBnszld9xxh+xnExYWhilTpih6zwKWLFmCiRMnBm2XkJCAlpYWn+/U6XRi27ZtYFlWdkx2ux3Nzc2eJ1gZFBcXY2BgALfccgvcbje2b98OlmXF9zBp0iRMmDBBbO92u5Gbm4sFCxZIMufn5uaiqqoKM2bMAADodDrMmzcPGzZsENsYDAaYTCYAnvvirrvuwowZM6DX63HHHXdgyZIlMBgMWLFiBebPnw+32w2e53HZwsWIqjQht92MT565Cd+/9Yqgn5eGixeMv5vxUsakSZPIarWO9jAuCeQ16/HK7nzMnDQOB39yKy6fEXwC9EZaWhqmT5+OG2+8MaTr8zyPMWPGwOVyBSUNwDNxTZ06NSRCBYCioiJMmjQJV199ddC2drsd586dw6OPPqqo3MVwXLhwAXPmzMGVV14p2U9ESE9Px7p16yQTeiCUlpZi6tSpWLp0acB2LMuC4ziMHTvW5zMi8pTbMJlMmDp1qs+5VVVVuPLKKzF27Fi//VdWVmLhwoXidyB8b0SEiooKrFq1SnJdm82G4uJi3H777RIy1uv1GDNmDKZPnw4iwqFDh3D//fdj9uzZICJ0dnaK5WQaGxsxMDCAW2+9FQMDAzh37hyef/55NDQ0oKmpCePGjcMNN9yAhoYGTJo+G3+KqUChfhw++/7NeGDVPEWfrwaAYRgbEYX2pPklQrOkvuFYt3Qm9r96Kww2F57dkoOWAXXkvnbtWlx11VUhXZuIsGfPHuh0OkUEBQApKSno6OhQfS2e59HZ2YnVq1crIqiuri6Eh4fj8ccfD4mgAIhP+HKYOHFiQDIYjhkzZmDKlClB25WXlyMjI0OWxE+cOIH29nZZgiIitLe3w+l0yvbb09ODyspKrFq1CtOnT0d8fDxqamrE783hcKCzs1NyTldXFwDgjjvuEAnK6XQiKSkJ06dPx/Tp08HzPFiWxfPPP4/Zs2cD8NQty87OFq25OXPmYNGiRXA4HJg9ezaef/55WCwWXHHFFbjpppuwcuVK2O12LFt5E94/XYlegxVbX1qjEdTXBaPtb/wyNm1NSj3KOwx00wdn6ZY/nqf63uBrHiPNSCGcp2R9hcizyO6d2Vot+vv76cSJE4rPj42NDanUPJEnKa+/JLUlJSWq+h0cHFRcVVj4fOQCjYUkr3JrVI2NjUErLff09Eik6FarVVTvDQ4Oyooz0tLSfIQQTqdTEidWU1MjEXB417YSBBqCwGXfvn3U1dVFTqeTNm/eTHV1dXTu3Dmqr6+nzLwieuyvp+ia38bRhfrQY/y+ycBFuiY16gP4MjaNpEJDbY+J1vzhHK35w3mq7Qkcr8NxnKqcesNRUFBAFy5cUNy+vLxcVQYKb6jJoGG324NO2Er68Be3VV1drSpY2WQyKcrhp9frxbQ/w1FWVkapqal+zy0oKPCbad3pdNKFCxdEcuvp6aHjx49L2mRkZEiCigVCHI76+nrJfrnksSdOnJCUis/LyxPjoNxutyiw0ev1xPM8NTY2Uuegje76WzLd9F4MZdeHLqj5pkMjKY2kLgnU95po7R/P0+rfn6OqLt/AVZ7nKSEhIeR4IQEOh0Nx4KqgQgvFiuJ5nvbv36+43IjaUh3ecLvdFBcXJ2tV9PT0qKpqzPM8ZWZmKlIgCsHB/lI1OZ1O2TRMAwMDQfMV2u12SYaN4VJ6uUwfAwMDtGfPHp/vKzc3V8zHyPM87d69W5Ig1juvYHNzsxhTVV1dLRZmjImJobKyMtq2bRv19/fT3oNH6Ft/OU/XvZdAha0juye/6dBISiOpSwaNfWa69U+JdNMHZ6mi03dyq62tDTlxrMViocOHDyuWu5vN5pALNjocDvHJWwlGUjeLyDPRlpWVyV6vv7/fb+YGObAsS5mZmUFzBPI8T1u2bJHNhGE0GunAgQN+3397e3tA4vQOquV5nmJiYiSWkMVioU2bNkm+G+G+8L4my7KylppOpxPbtbW10cGDB8VjpaWlYmwaz/NktVqJZVkx4HtgYICa+4x0+5+T6PrfJVBp+6BP/xrU4WIlKU3dp0EWrTornt+aA5ubw/4f34rrFk5DS0sLbDYbVq5cGXK/RISOjg4sWrQoaFun04mIiAhwHBeSeCE/Px92ux133XVX0LY2mw2HDx/GD3/4w5CuVVBQgIULF/oIJZxOJ3Jzc3HnnXcqViTW1tZi9uzZmDVrVsB2DodD/HzCw8N9jhMRent7MW+eVEDgdDpRXl6ONWvW+JW/ExGys7Nx8803iwrEhoYGLF26FGFhYZ7Jg2HAsqzk2lFRUVi9ejWWLVsm7uvv70d2djYee+wxAB61Xl9fH2677TbxWgzDwOl0Ijw8HG1tbVi6dCk4jsPBgwfx5JNPQq/XIzMzE4sWLQIRoatPj73VbnRwU8T7U8PIoKn7NFxSWDxrEg6/dhsmjQvHC9tzUdFpxPjx4xXF6PhDSkoKent7FREUABw9ehQ9PT0hkYbL5cLatWtx5513Bm1rsVgwYcIE/OhHPwpZyTdlyhTZz4ZhGEyYMEFVLJTdblcUA5aamoqKigofgiIiHD9+HHq93oegAI9M3eFw+O23ubkZ3d3duP322zFhwgS0tbWhsrISK1asED+f8+fPo7Ky0ufa3/3udyUyeaPRiNmzZ4sEBQBz587F4sWLxbEeOHAAAwMDiIiIgMlkQkVFBYg88Xf3338/JkyYgIULF+LRRx/F+vXrMePy5fikZiI6uCk48KpGUF97jLYp92Vsmrvvi0Obzkq3/zmJ7v/dQSoZoc+/sbFRUbZyISu20rRFw2EymVS5CA8fPqy4RPtw9PX1UXFxsc9+nufpwoULitWLRJ5xK8kez/M8ORyOgHkOOzo6fN4/z/OUlZUVdJ2rurpakgaqp6fHR6VntVola289PT2yeRsPHjwoqhmFz2T4PSCIIPr7+8UxFxcXU0VFhVh7q7u7m7Zu3UrZxVX0+gef0U0fnKXKTq1Y4RcJXKTuPs2S0hAQi2ZOxJGfrodz/Cy8uDMX5R1G1X309PSgsLAQy5Ytw/jx44O2LywsREZGhqo4IgEcx2HKlCl45ZVXgrrXOI6Dy+XC008/LQaOqsWYMWMQEREhe2zs2LGq3oPVasXg4GDQdg0NDYiPj0dYWJiPhVZYWIiysjIsXLhQNpiX4zi/Vp3VakV5eTmuueYaLF68GDzPo6CgALNnzxatI6vVihMnTmD8+PGS933ZZZfh29/+tuRaLMviueeeE12gNLS0IFhf9fX1uHDhAmbMmAGGYZCamoq+vj4AwOWXX465c+eCYRg89thjmDdvHm7d8CB+GdeFXLoSB15dj5ULfOO9NHz9oK1JaVCEjkEbntuaA5PdjQOvrsf1lyt3sej1egwMDCgK+hUmUSFrglocPnwYd955pyLSKS0tRU9PDx544AHV1+E4Dnl5eVi3bp2Pi7CmpgaTJk1S7NYkIlRVVWHlypVB3YLCOt3wtSABBoMBACQpiACgpKQEixYtCrjOpdfrUV9fj1tvvRWAx2WamZmJDRs2iITHcRxaW1sla06pqalYuXIl5syZI+6rr69HZWUlnnjiCQDA4OAgXC4X5s6dK7ax2WwwmUy47LLL4Ha7ERERAbfbjaysLNx1110oLCzE2LFj0d/fj4mzFyL6dBxymGuw4yd34dr5GkF90dDWpLzAMMzfGYapYRimjGGYEwzDTPfT7kGGYWoZhmlgGOatr3iYGrxw+YyJOPzaekydMBYvbM9RZFEREXJzczF16lRFBDU4OIhdu3aBYZiQCIqI8Nhjj2HhwoVB27rdbtxwww249957VV8H8EzW3jnrvBEeHi5LIIHG0tLSAo7jAraz2WzYuXOnrFBCp9MhLi5OzOQwHAzD+F1vIyIUFRVh2rRpIkF1dnbC7XbjnnvuEQmqqqoK/f39EoICPFbPtGnTJP2tWLECDz30kLivv78f7e3tADzZP5KTkzFmzBjMmzcP9fX1SExMBMMwICJMmjQJDMPg6quvxtKlSzF78VV4M64dmcwqjaBGGQyDBxkGtQyDBoaBz5zMMGAYBp8OHS9jGKwe8UVHw8cI4H4A4UP//xXAX2XahAFohKdC7zh4KvSuVNK/tib15aFdb6U7/uKR/Za1GwK2dbvdlJqaqqjUurAWoabYoTcqKyvFsuXBIEinQy0B7684oU6no4KCAlV9tba2KlqnE9Z//K3TuVwu2fIdzc3NQaXvLpeLzp8/LwkryMzM9OmvsrJSEiNlNpt91uOENSRvSfzw4GWO46igoEAM0CXyrEPW19eT0Wgkk8lEZ86coYGBAYo+k0C3/imRbvYTt6fhiwOCl48PG6rIu8yrfPzKYW0eBigeIAag9QDlBupTyTYqlhQRnSMiQb6UA0DON7MOQAMRNRGRC8BhAI9/VWPUII/LZ0zEoZ8Et6ja2tpgtVpx9913B1XMERH27t0LvV4fsnrwqquuwvr164O24zgOkyZNwiuvvBKyks9oNMLtdvvsZxhGcQ5CAQ0NDYrWoY4cOYLe3l4fC5PnecTExMDtdssmnx03bpzfNTMAqKurg9PpxH333Yfw8HDwPI++vj7ccccdYn88z6O+vt7HpedyuXysP2ENScgPyLIsTp48KaoJOzo60NPTgzVr1oDneWzduhUOhwNhYWEYGBiA3W7HhAkTcPXVV2PADuwqMcHF8Tjw6q2aBTX6GJqT0UQEf3Py4wD2DvFLDoDpDAP5BJYKcTEIJ14BEC+zfyGAdq/XHUP7ZMEwzGsMwxQwDFMQSgkHDcqxaKaHqKaMH4sf7PDI04ejt7dXXB8JBCJPjMyTTz6JmTNnqh6L0+nEgQMHQESyiVOH4+jRo+js7Aw4cfuDXq9HW1sbbrvtNslYWZZFRkYGpk6diuuvv15RX1arFX19fbjnnnv8JqEV+uZ5Hs8//7xkPUcAwzBYvny5jyDFaDQiMzMTCxYsCJg5XSAGAf39/cjMzJS0sVgsqK2tFYUPANDa2oqpU6dizZo14r6qqioUFBSInw3LshgzZgxeeeUVcXxWqxUWiwVEhPDwcFH239nZifXr16OhoQFmsxlNnX34yZ48dPDTNIL6yjA7nGFQ4LW9NqyBkjlZ1bytBMod5yrBMEwiALk0xO8Q0amhNu8AYAEckOtCZp9flQcRbQWwFfAIJ1QPWIMqLJrpWaN6bmsOXtieK8arsCyL7u5u3HLLLYr6uXDhAiIiIhS3H46IiAhs2LAh6BqWMME+/vjjistjDIfJZIJer8cVV0jrExGRbGmMQOju7kZ3d7fEMpFDdnY2wsLCcPvtt/scKygowGWXXYZrr73W59jYsWNl16YE6HQ62Gw2Sb9msxlz587F9773PXGf0WjE5MmT8eijj0rOLy8vx+TJkyVCjEWLFkkILz8/HyzL4lvf+haICK2trWIG+rS0NEybNg033XQTenp6UFpaioULF2LKlCnos3LYldkIBzcbB19brxHUV4YBlgiBCqcpmZNVzduKMFJ/YagbgB8CyAYw0c/x2wCc9Xr9NoC3lfStrUl9dRDiqG54/yyVdxiop6eHYmNjFZ3L8zzZ7XYx95xapKenU2ursqqrxcXFYllxteA4jmpqamRjkvLy8mRTEvkDz/OKE/O6XC5iWdZvCqqWlhafRK5ut5vOnj0bNBaqqalJko1cWEsavn4UFxdHNTU14muWZX3W41iWpaSkJMl6mVD9V9hntVrp6NGj4jqgzWYjm80mxkj19PRQTU0NlTd20gN/PK7FQY0CEHxN6jaAvOZkehugt4e12QLQ816vawGaH6jfYNtoqfseBPAmgMeIyOanWT6AKxmGWcowzDgAzwE4/VWNUYMyCBbV5Ihw/HR7KvrcEXj44YeDntfX14djx45h/PjxIVs2S5cuFWsQBQIR4brrrhOVa2pht9tRX18vcXcJCKSak4PNZkN6enpQJV9XVxeOHDmCsLAwHyVff38/cnNzsXjxYh9racyYMZgzZ45fy5LjOFRVVWHp0qW4+eabxX08z+Oll16SWEZutxsPPvigRJnZ2tqK5ORkSZ9EhClTpojjdLlc2LlzJ1iWxdixY2EymRAREYGnn34aFosF0dHRGD9+PMaPH48zZ85gcHAQLMuix2DFm4eyMZE1a3FQFyeG5mQsZRj4m5NPA3hpSOW3HoCRCN0juupIGC7UDUADPH7LkqEtcmj/AgBxXu0eBlAHj8rvHaX9a5bUV482nZU2fBhPt7x/hso7DEHbCxkGQkF/fz9lZmYqams2m2n37t0hJagl8lgrcpZMY2OjrJouEPr6+hSNQ7A+/FlDRqNRYt0ISElJCVoGxGQyUUJCgsQqLCwspPPnz0va6XQ62rZtm6SdXPLYtrY2MVv58PMFxMfHiwpDjuOotbWV3G43ud1u4jiOysrKqMkrqbFmQY0OoCDjxJB6r25I5ffO0L7XAXp96H8GoI1Dx8sBWhusz6DXHGkHF+OmkdToQHD9BZKncxxHBw8eVFymQw5ms1l2kvaHUMmQyFMaQm7ib25ulqQOUoKoqCixVIU/uN1u2rhxo6wsnWVZSklJ8StDr6mpCShnr6mp8SFcwS0nR4jeaY94nqdt27b5ZIovLy+XlPsoKiqiqqoq8bWQhZ7neUpPTxcJraioiM6dO0cOh4MOR5+i9X88pxHUKEMJSY3GNuoD+DI2jaRGD226f8dR+Suf0NnZGXJtqAsXLsjWa5LDyZMng5KCPxiNRtkaTCaTifLy8lT1ZbPZFMV/CQTi7/253W7Kzc31+exKS0slxCAHnucpNjZW8nDgcDgoMjLSh7hiYmJkrURvAuR5ntra2nza9Pf3i6Te29tLu3btEo9VV1eTzWYjjuPE82s6BrQ4qIsEFytJXQwSdA1fIwhrVJ44qlyUtBvEY1lZWaipqcGCBQtUZQUXINy0SteAbr31Vlx22WWqrwMALS0tqK2tlR2D2viqmpoaFBQUBG136tQpNDU1ycrjS0pKYDKZsG7dOp/Pbu7cuQHfZ1dXF0wmEx5++GFMmTJF3B8REYHnn3/eZ83r9ttvl6SVqq2tRWJiokTmbrFYkJ2dDZ7nAXjWtYQ8fLNmzQIRYc6cOXjhhRcwODgo5gQMCwvD1q1b4Xa7kV9Whf/alQoXx+PgTzSZuQZ5aLn7NHwp6Bi04fvbcjFodWHPj9dh9RUzoNPpEBERgcmTJ6vur62tDRMmTFBEOtXV1TCZTCEJJYjkazDxPI/s7GysW7dOVcomk8mEqVOngogC1m7ieR4sy2LcuHGy7YqLi7Fs2TJJ+qHu7m5UV1fjnnvuCTiGgoICTJs2DVdeeaW4LykpCVdccYVkn8lkQnZ2Nu6//37JGNxuNywWC2bMmAHAI1WfNGmSRHLvdDpRWFiI2267DQzD4PDhw7j77rsxf/589Pf3o7u7GzfccAMAT37Bpj4TfnqsDjxPOPiT9bh63r/JU8PoQMvdp+EbBSHX36zJ4/CLHSnYF3Uas2bNComgAM8EajabFbVdtGhRwADWQDAYDEhLS8PwhzfhtZpYKIPBgOjo6IAEBXispOTkZERERPi06+vrQ11dHW6++WYJQQHAjBkzsHz5cr/9OhwOtLW1Ye3atRIyAoCbb77ZJwFuREQEli5dKo6BiBAfHw+n0ykSFOBJKNvY2Ci+7u7uhtPpxO233y6e+9BDD2HevHmorq7GzJkzccMNNyA1NRVVVVWoau3F54fjQAQcfk0jKA2BoZGUhi8NC6ZPwOHXbsPEyVOxvcyBnCad6j5YlkVjYyOuu+46n8Smw2Gz2RATE4OJEycGDZKVg06nw/Tp0/Hss89KyKK0tBQmkwl33HGHYlef1WrF9OnT8fLLLwckKJZlceONN/qtHux2u31SMNntdhw/fhxjx44ViwfKQa/Xo6GhQbJPp9Ph3LlzmDlzpsR9V1VVBbvd7pMIePHixZJUVSzL4tFHH8WKFSvEfR0dHeju9qiMW1pakJSUhGnTpoGI0NjYKI7/5ptvhpEi8IvTbagIW4HDr63HlXM1gtIQGBpJafhSMW/aeBz46Z0YN30uXt6Vh8z6AVXnm0wm1NXV+Vg2coiIiMCVV16pytoRIFgNcqmcAtVg8tfXkSNHoNfrA55nMBiwe/duMAzjsw7FsiyKioqwYMECrFq1SnJs/PjxuPHGGwNmNW9sbMT8+fN9XIGTJ0+WEIwAi8Uiid3q6elBY2MjVq5cKX6ePT09OHToEJihIBjAQ4S33HKLmEli/vz5WLVqFQwGA2w2Gx599FG4XC7ExcWhxcjhSNQJTArjcOSnt2HFnNCsag3fMIy2cuPL2DR138WHfrODHvgkja58J46Sa3qDn0AeFaDS+Kb09HQfebRSWK1WcrlcPqq5jo4OqqurU9WX0+kUKwsHgnfmBX9jSk5OloyJ53k6efJk0PfpcDgoKirKR6qemZkpmy1CTqXX1tZGlZWVkmsTSRV+JpOJdu7cKar1zp8/TxaLhYiICgoKxIzwLpeLYtPy6frfxdPtHyZSmy60TPcavlxAU/dp+CZj9uQIHPrJelw5ZzJe21uAhIqegO2JCFlZWYqS1ALAzJkzQ86gXlRUhJKSEh+rh0IQFeXm5iIvLy+gW5CIsHPnThiNRtlsG9XV1QgLC8O3v/1tyZgYhsFNN90UMCdfR0cHxowZgyeffFIi8CAiRERE+GRp1+v1KC4uluxrbm7G5ZdfjpUrV4r7jh49it7eXtFF6Ha7MXnyZLz88suipXXZZZdh/PjxMBqNWLNmDdasWYOCggJkVnXgvaRuLBtvw9Gf3Y5FM0P7njR8M6Gp+zR8pTDa3Xh5Vx7KOoz4+Jkb8fhNvgmShSSlStIltbe3w2q14pprrlE9FiKC1WrFpEkeQZNACHa7HWVlZbJy70Bwu90ICwsLKFPnOA5jxoyB3W6XJVUiQnJyMtauXSsRSmRmZmL27NlB32dCQgJuvPFGSWb1vr4+2Gw2LFmyRNLWYrGIBQa9x3fixAk8+uijkjUrvV4vlnkHgJiYGCxduhSrVq1CV1cXXC4XlixZArPZjKNHj+JHP/oRxowZg8PxafhLlhGzZ3iymc+dKs3WruHigabu06ABwLQJY7Hvx7filiUz8MsjJTiS3+bTprq6WlFcEQCEhYWFVMUX8JQTOXXqlGSNBYAY+6OGoHp7e3Hw4EGMGTMmoBWVmJiI8vJyWYLq7e3FwMAA7r33Xh8l37XXXuuTfd0bJpMJg4ODePDBB31Kf9hsNlllZEJCAtra/v352+12sCyLp556SiSotrY2pKWlYebMmRLV34MPPihmX3c6nXA4HHC5XJgyZQpeeeUVWK1WHE3Kx3uZNsyfPQNHXluvEZSGkKBZUhpGBXYXh9f3FyKtrh+/feRavPotj3JPsGwoiGzb7XajqKhItbUjXn+ouB7P86K7ishT7v7mm29WVW+KZVmEh4fD5XIFLHrI8zxcLhfGjh0rS2SVlZUg8iTDFdDY2Ijm5mbcd999AcdQWVkJs9ksKfxIQwKK5cuX+3xGAhF7i0wKCwthsVhw9913i/vsdjt0Op0Y3Ds4OIiYmBj84Ac/AMMwaGxsxLJly8AwDKKiorB69WosW7YMB1JKcDC5COHzrsbeH63DtImhPUho+OqgWVIaNHhhwrgwbHtpLR6+fh7+GFuNj8/Vwmw248CBA+B5PijxsCwrWx1XCXiex549e2CxWCSTNBGJhfrU9LVjxw6YzeaABNXQ0IDTp09j/PjxPgQlyOxXrVolISjAE/N14403Brx+Z2cnVq1a5VOZ2OVyoayszCfjeldXFw4fPix5nyzLYs2aNaIUnoiQkZEBIpJkn5g+fToefvhhMAwDp9OJkpISsTDj448/jqVLl2JrfB7eOduBqYtW4sCrt2oEpWFkGG3lxpexaeq+Swcsx9P/HSulxW/G0Hsny8nlkq+d5I2qqqqQa1AJCU+H56urrKxUnYhWUB4GG4ugfhOUb8Oh0+koLi5OouQzGo104MCBoDkOdTodRUVF+bTT6XR+E9ESkSSXoMvloo0bN0qSzPI8T7m5uZLPKT09ndrb28XxCf03NzdTdHQ08TxPnybW0Mvv/pNe25lJdldghaOGiwvQ1H0aNPgibAyDvzx5PX7yraXYk92K/44qh4vlA57T29sLl8sV0vVSUlJQXl7uk6/O7XarVvMlJiairKwsoMDDbrdj27Zt4DhOFGh4o7m5GdOnT8dDDz0kWfOZMmUK7rnnnoAWZVdXF2bMmIEnn3zSp11RUZEkK4SAM2fOoLu7W7ImNnbsWLzyyiuiJdjf34+uri6sW7dO8jktXrxYLA1fVFSE6upqcf99930HH5ypwkfnGzB91d34/KXbMH6suhyHGjTIQVuT0nBRgIiwJb0Jf4mvwbeunI3IH6zBpAgpkej1erjdbsydOzeka7AsC8CzDiO4uvr7+zEwMCBbgj3YeJ1OJ8LDw30IT4Cw3mWxWGTTQfE8jxMnTuDBBx8UCYzneRw4cACPP/44pk71n3CV53kcPXoUjzzyiCRpLBHBZrPJEiLgCcidPXu2OObs7GxERERg9erVYpuGhgZYrVbRzWi321FeXo5169YB8Aglxo0bByLC4cOH8cBDj+CDhCacLu3Cj+9cincevhZjxqhfJ9QwutDWpLzAMMzfGYapYRimjGGYEwzDTPfTroVhmHKGYUoYhlEm99JwSYJhGLx+93L87akbcKFhAN/floMBi1PSZmBgAJ2dnSH139LSghMnTiA8PFyyFsNxXNAqucPR1taG48ePY/z48X4JCgAOHTqEnp4eWYLq7++H0+nEk08+KRIKEWHMmDF48MEHJcQzHAJZP/fccz7tent7cfLkSZ9zBgcHkZmZiXnz5knGfOONN0pSIXV2dmLFihWSdTCWZUVLbXBwEPv27QPgIfv1d96FX0ZX43RpF9588Br89hGNoL6JYBjMZBicZxjUD/2d4addC8OgnGFQwjBQNKePiiXFMMz9AJKJiGUY5q8AQERvyrRrAbCWiFTl0tEsqUsbiVW9eONQEeZOHY/dP1qHJbMmorW11SfORykEIYbT6ZQEo4aiDhR+LyaTyUcmPryNYEHJ9S8X9xQXF4errrpKNm2RN1JSUjB//nyfmCm3242xY8dKFIsCzGYzOjo6RIvR5XLh3LlzePDBByVl348dO4ann35adP21tbVh7ty5iIiIEPtlWRY1NTUwWJ34c64NNT1m/Pk/rsczt0gT1mq4tDASS4ph8DcAeiL8hWHwFoAZRJCZ09ECYC0RFM/po2JJEdE5ImKHXuYAuDxQew3fLNy3ci4O/mQ9zA4WT27OQk5tB4qKikLKAOF2u7F161a4XC5JcGoo6kCWZbFr1y44nU6/BAV4XGi5ubmYMmWKD0GxLIv+/n7ceeedIskIC8R33HFHQCJ2u93Q6XT49re/7UNQRIS9e/dCp9P5EFRNTQ3CwsIkLs2wsDAsW7ZMJCibzYawsDC88MILEpViXV0dBgcHAQDHjx9Ha2srwsPD4Y6Yhj8kdaF5wIrtP1yrEZSGxwHsGfp/D4AnvqiOR31NimGYMwCOENF+mWPNAAYBEIAtRLRVSZ+aJfX1QPOAFS/vykOvyYFPnrkJD10/P/hJXqChWCvvrBKAp77SqlWrFGW0GI6BgQHMnj074DXdbjd4npeQooD29naUlZXhkUceEfeVlpZCp9MFrQvV3NyM6upqPPzwwz7XBDyWkFx8V0pKClavXi0Sa1NTEyZMmCAJ+k1NTcWUKVOwZs0aAB7r02QySVIwWSwWjB07FkdjE/GP/9/enYdHWd0LHP/+kiEmBEMAZV8S3AKKgiKKqIi4AAWitt5WxWIt19v7VFtbbd36tN5a7+1zr+29tra1FosbyGJboUABIagoIptAEhASiJiErITsyWSS+d0/ZmkmmckChAyT3+d58mTe9z3zzjkhOT/Oec+yL4pejl4seuBqxg0PHbDN2eMUW1LlqiQ2Oz6h2rrLT4QWdTrt1+ldNWwQ2AhkBPlKbZbmGeBveINlkHsM9X4fCOwFbmzj8x4CdgI7Y2JiQo+zNGeV0qp6vfN3H+moJ1br7zdnd2rb+ZUrV2pWVlbAObfbrVu2bOn0EPZ169ZpdnZ2m2mOHTumS5YsCXm9qKj1wrput1sbGhq0qqqqzXsXFxeHvLZ7925NS0trdd7lcgV93/79+/Xo0aMB6dxud8DPNj8/X5ctW6aqnoV2V69eraqqb289rDOeWaTTX9hsC8VGGDjPCbqz2ddDGlDH6kbQjCBfqaDlLdKe0KD1tHrrdB0Iuhc0ZJ3uf097CbrqC5gPfAL07mD6Z4HHO5LW5klFlrqGRn14yW4d9cRq/dGKPep0tb8yutvt1qqqqoDVyLOysrSwsPCk8lBaWhowjyjY57ndbq2oqAh63el06qJFiwLuUVJSom+88Ua7gbe2tlYXLVrUam6Xj8vlChrkcnNzddWqVQF5PHLkSECaiooKffnllwPy4Jv/5Dvncrk0P/+Y/mLJJh375F903sJtWl4beg6WOTtxCvOkQA+CDvG+HgJ6sAPveRa03Tq9u0b3zQCeAOaqam2INPEicq7vNXAbnpaY6WFie0Xz4tfH872bL2T5zjzuW9h65F9zWVlZrFu3jj59+gSs7uB0Ov3D0DsqJyeHjRs3MmDAgJArSjQ2NrJw4UKcTmfQYePl5eU4HA7mz5/vv4fb7WbAgAGkpqa2OXCjrKyM2NhY5s+f32okodPpZPHixahqqxGEdXV1DB8+nDlz5vjP1dTUsHv3bv+SSKpKQkIC8+fPD8jD0qVLOXbsGOCZC1ZcVsFP38tjdXoRd4wbyJ8fuJq+cbaKhAmwCk/DA+/3lS0TiBAvwrm+13S0Tj/ZyHkqX0A2kAvs8X697D0/FFjrfT0aTxffXiATeKaj97eWVORatSdfL/nJWp38nxs1Pa88aJrGxkY9ceKE/7i8vFzT09NP6vPq6+vbbH35Whvl5cHzoqr67rvvak5Ojv/Y5XLpyy+/3KEux+XLl+uxY8dCfnZeXl7Qa4sWLQroXqysrGy1x9Xq1atbtazcbrfW19f7W4ZpW3fqLS+k6ein1ujrW3M61d1qzi6cWktqAOgm0Czv9/7e80NBvXW6jvZ28e0FzQTtUJ3e7QMnuoINnIhsGfkVPPTGTspqG/ivu8Zx5wTP4ND6+nqWL1/OvffeG9DqKCkpITc3N2DCanucTierV68mNTW1zblQK1euZNy4cUG3tne5XDQ0NNC7d29/S6WpqYno6OiQE3x9amtrERFiY2ODtrS2bdvGkCFDgm4fr6o0NTUF5HvDhg0MGzYsYJff8vJy4uPj/avIHz16lL179zJ37lyKiorYsv9Lfv5BGdFRwu/uu5LrLgg9YMSc/cJ1Mq8FKXNWKqly8vCS3XyaU8Y3J4/iJ18ZS4wjiqKiIv+KFE1NTezatYuJEyd2ekt5VSUnJydo8PFdB8/8o/j4+JCrmufl5XH77bf7z61YsYJJkyYFDS7N7dixg4aGBqZMmRL0em5uLn379m3VvXj48GEyMjJITU31n2tsbPTnT0Q4fvw4O3fuDMgXeH5eFRUV9E3sx6/f3caaXdnEDUzij/OuYuQA26gw0lmQOoMsSPUMjU1u/nv9QV758Aiz+xWyIHUa41P+GVScTifbtm3jhhtu6FSQ2rx5M2PGjGHw4MEh06Snp1NcXMz06dODXve1lFQ9w+B9z4Hq6+uJi4sL+RxKVamoqCAxMdH/3pb3TU9PZ/LkyUHf73a7qa6u9gev8vJyVqxYwYIFC/z3amhoID8/n+TkZP9nbtiwgUmTJqEx8Tz92gbW58JdV47gF3dcRlyMrcHXE4RrkLIFZs1ZyxEdxdOzxvD7+65kd21/vrXsEOszPdvS7927l8bGRqZOndrpVlRSUlKbW7SrKikpKf617Fqqrq5myZIlAVuOfPrpp2zdujWg6y+YkpIS1qxZEzRA+T471I6+q1atoqKiIqB1lZiYyP333++/1/bt26mrq/MHKPC0rpKTkzlQ6mLmix+SWVDDz+ek8MLdl1uAMt3OWlImInxRWsMjb39Gen4FD1yXxLTEMq6cML7NNfBaysnJoayszD+hNZiKigpWrlwZUPE3V1tbS+/evQOWJnK5XERFRdHU1NTmnlOVlZUkJCSEDFCZmZlccMEFQScJ+/I/atQo/+euXbuWlJSUgC7LlhOZy8rKyM3LI60olt+mZZE0IJ7f3juBS4faBN2exlpSxnShpPPi+cu/X8e3r0/mta1f8PwuN0cr297yo6XExETOP//8kNfVO2R79uzZIVtD77zzDkVFRf5AkZ+fz4oVK4iOjm4zQDU1NbFs2TJqampCtqAKCwuDDqEvLS1lz549JCcnB7QaJ0+ezIgRnuWKqqqqyMnJYeLEiQErbRwtqeTFjYd4cVMWd04Yzt8fud4ClAkr1pIyEef9g8X8+J19nKht4NFbLubfbhyNIzr0/8ecTicfffQR06ZNC9k1qKq89dZbzJkzJ2hXoK+1BPgHKfi2k3c6nW1uR19dXe3vBgwWoCorK2loaAi5HFNpaSnFxcWMHTvWn37btm3ceuut/vvl5eWRm5vrf5alqvxp7ae8uK2M6OhonrvjMlLHDwuZRxP5rCVlzBly0yUDWf/ojdw2djD/s/4gd/1hKwcKKkOmj4qKon///m0GKBFh1qxZIReW3bFjB5988ok/QDmdThYuXIjL5WozQAF88MEHHDp0KGTrrKCggOzs7KDXsrOzSUxM9AcogHPOOYekpCT//QoKChg2bJg/QH15vJZ5C7fx4badXD0ing0/mGoByoQta0mZiKWqrN5XwLOrMqmoc/GdqRfw8M0XBuwYu337dlJSUtrcYDAtLY1BgwYFzDFqrqGhAYfDgaoSHR3tbzn5WlKhNDU1+bcPCRUgS0pKQnZBqipr1qxh6tSp/mdvmZmZDBs2zN/ac7vdLF26lLlz5xIb15tFH3/Br947iCMqiidnpnDfNSM7tVWJiVzWkjLmDBMR5lwxlI0/nMrcK4by0uZsbvvfD9l0oMifJjo6us3JuqrKxIkTQ+7xVFpayuLFixERfytq2bJlFBYWthmgwLN8U1paWsgA5ZtQHGxLkYaGBqqrq5k9e3bA4JDq6mr/HC7fMlD33nsvB0obmPPSxzy/9gDXX3ge7/3wRuZdO8oClAl71pIyPcZHWaX8bFUGh0tqmJnci/uvGcF140NvG//FF1+QkZHB7Nmzg15vbGzE4XAEPHtyOBy43W7/Kg6hBBsF2PK6b4BDsEBy6NAhDh8+zMyZM/15KSgo8A+UANi1axcFJWVsqjifv32Wz9C+sfxk9lhmXjbYgpNpxVpSxnSz6y86j398/0aenpXCnvxqnlixh5+uzAi5WO2IESPanDT76quvUlVV5W8xbd26lc8++6zdAFVTU8Obb75JU1NTyFbU+++/z/79+4MGE5fLxcUXX8yMGTP8544fP056err/+ERNPWml8fzoYxdr9hXwyM0XsvGxqcwaN8QClDmrWEvK9EjFVfX8ZlMWb2/PJdYRxYPXJ/PglGT6xcdQX1/PsmXLuO+++4J2BfqCi+95kqpSV1fnn7/U1uThuro64uLi/Gv4BdPY2EhUVFTQ0X6qyiuvvMI999zjf45WWVnp3wW42tnImx9lk/3RKt6tS2H2+BE8dusltqyRaVe4tqQsSJke7UhJNb/acIg16QXEx0Qzb/IoFlw/GndtuX8NwJY2bNjAoEGDuOKKKwDPenn79u3jzjvvbPfzXn/9dWbOnMnAgQODXi8oKGDjxo3cf//9ra75Rhm2HJCxdOlSrrpmCuuO1PPqxzmU17qYekECP5p1OZcNszlPpmMsSJ1BFqRMZx0qquKltGzS9n1BdFQU068YxYNTkltV8m63G5fL5R9w4Vujr62WEXgGOviuh0rnC0L19fVBV5XIzMykqKjIv828qnKosJw3t+Xy18+OUdvQxC1jBvLdaRcyYWSrnbuNaZMFqTPIgpQ5WTmlNbz2cQ4rduVR29DE+BGJ3D1xOLMvH0p58TF27NjB1772NcDzbGnx4sUsWLCg3fUBt2zZgsPhCPmMyzdZeNasWQwYMCBoGpfLRU1NDTG9+/CP9EJWf5KBu+gQn7gvYu74oXxrSpKtFmFOmgWpM8iClDlVlfUuVuzMY9mOLzlUVE2MI4rpl5zPzRf25bbxSYirjoSEhJCj85pzOp306tXLP48qlPLycvr27dvqOZTb7ebva9YSNWQsmw9Xsi6zkNqGJkb2783dEwZzz+TRnNen7QnDxrTHglTzDxV5DkgF3EAx8ICqHguSbgbwIhANLFTVX3bk/hakzOmiqmTkV/LOrlzWZhRSUuWkVzTc1ecwQy+/gSmXjuLy4YnEOIIHqoKCAjZt2sS8efNCfkZmZiaVlZUBrazGJjf7CyrZduQ4n2SX8mVONkdcfenbO4bbxw7mq1cN5+qkfjZSz5w2pxKkRLgbeBYYA0xSZWeIdC3qdNqt07srSCWoaqX39feAsar6nRZpooFDwK1AHrADuEdV97d3fwtSpiu43cqevHLWZxbywefFfF5UDUCMI4qUwedy6dAEUgYnMLJ/b0b0j+P83g769onD5XKFHJZe72oip+gERwtPUNoYw8HCKvYXVHKgoJLahiYALjg/nhsvPp/bxg7m6qR+ba5DaMzJOsUgNQZPo+OPwOPBgpQIIep02qzTQ0+170K+AOUVDwSLlJOAbFU9AiAiS/G0vtoNUsZ0hago4cqR/bhyZD+emjmGEzUNfJpznF1HT5B5rJK16YW8vT3Xm1qZFnOYHe7RxMbGkRDrQMQzMdetSnV9I1X1jQxoOk6BO4Em75TFPuc4GDskgX+ZOIIrR/Xj2tH9GXhu8K05jAkXqhwAaKdh763T8dbpdKhO75YgBSAizwPfBCqAaUGSDANymx3nAde0cb+HgIeAdpejMeZ06Bcfw4zLhjDjsiGAp2uwuMpJ3olacsvqyC+/hIvrG6msc1FV34i/00Lg3HMcJMT14txzRjM0MY4R/eMZ1i+OIQmxREVZF57pDuc5RAJaQK+o8spp/IBO1ek+XRakRGQjEGz/7WdUdaWqPgM8IyJPAQ8DP2t5iyDvDdk3qaqvgOcHGh8fH3mjQUzYExEGJcQyKCGWq0Z1d26M6azSRlUmhroqQht1Ois78AGdqtN9uixIqeotHUy6BFhD6yCVB4xodjwcaDW4whhjTNdTpaN1eignVad3yxNYEbmo2eFc4PMgyXYAF4lIsojEAN8AVp2J/BljjDntvHU6ySJ0uE7vrmFCvxSRDBHZB9wGfB9ARIaKyFoAVW3E0w24HjgALFfVzG7KrzHGmBBEuFOEPGAysEaE9d7zQ0Xw1ukEqdNpt063ybzGGGPCdjKvTbgwxhgTtixIGWOMCVsWpIwxxoQtC1LGGGPCVkQOnBARN1B3km93AI2nMTtng55YZuiZ5e6JZYaeWe7OljlOVcOu4RKRQepUiMhOVQ056zoS9cQyQ88sd08sM/TMckdKmcMuahpjjDE+FqSMMcaELQtSrZ3OVX/PFj2xzNAzy90Tyww9s9wRUWZ7JmWMMSZsWUvKGGNM2LIgZYwxJmxZkPISkRkiclBEskXkye7OT1cRkREisllEDohIpoj4VqDvLyLviUiW93u/7s7r6SYi0SLymYis9h73hDInisg7IvK59998cqSXW0R+4P3dzhCRt0UkNhLLLCJ/FpFiEclodi5kOUXkKW/9dlBEbu+eXHeeBSk8lRfwO2AmMBa4R0TGdm+uukwj8JiqjgGuBb7rLeuTwCZVvQjY5D2ONN/Hs0WAT08o84vAOlVNAa7AU/6ILbeIDAO+B0xU1cuAaDz7FkVimV8DZrQ4F7Sc3r/xbwCXet/ze2+9F/YsSHlMArJV9YiqNgBLgdRuzlOXUNUCVd3tfV2Fp9Iahqe8r3uTvQ7c0S0Z7CIiMhz4CrCw2elIL3MCcCPwKoCqNqhqORFebjwrLcSJiAPojWf314grs6p+CJS1OB2qnKnAUlV1qmoOkI2n3gt7FqQ8hgG5zY7zvOcimogkAROAT4FBqloAnkAGDOzGrHWF/wN+DLibnYv0Mo8GSoBF3m7OhSISTwSXW1XzgReAL4ECoEJVNxDBZW4hVDnP2jrOgpSHBDkX0WPzRaQP8BfgUVWt7O78dCURmQ0Uq+qu7s7LGeYArgT+oKoTgBoio5srJO8zmFQgGRgKxIvIvO7NVVg4a+s4C1IeecCIZsfD8XQRRCQR6YUnQC1W1b96TxeJyBDv9SFAcXflrwtMAeaKyBd4unJvFpG3iOwyg+f3Ok9VP/Uev4MnaEVyuW8BclS1RFVdwF+B64jsMjcXqpxnbR1nQcpjB3CRiCSLSAyeB4yrujlPXUJEBM8zigOq+utml1YB872v5wMrz3TeuoqqPqWqw1U1Cc+/bZqqziOCywygqoVArohc4j01HdhPZJf7S+BaEent/V2fjue5aySXublQ5VwFfENEzhGRZOAiYHs35K/TbMUJLxGZhee5RTTwZ1V9vntz1DVE5HpgC5DOP5/PPI3nudRyYCSeP/S7VbXlQ9mznojcBDyuqrNFZAARXmYRGY9nsEgMcAT4Fp7/nEZsuUXkP4Cv4xnJ+hmwAOhDhJVZRN4GbgLOA4qAnwHvEqKcIvIM8CCen8ujqvqPM5/rzrMgZYwxJmxZd58xxpiwZUHKGGNM2LIgZYwxJmxZkDLGGBO2LEgZY4wJWxakjDlJIlLdyfQ3+VZgN8Z0jAUpY4wxYcuClDGnyNtCer/Zvk2Lvasd+PYp+1xEPgLuavaeeO9+QDu8i7+mes//RkR+6n19u4h8KCL2d2p6LEd3Z8CYCDEBz149x4CPgSkishP4E3Aznq0RljVL/wye5ZkeFJFEYLuIbMSzAOwOEdkC/AaYparNV243pkex/6EZc3psV9U8b0DZAyQBKXgWO81Sz9IubzVLfxvwpIjsAd4HYoGRqloL/CvwHvCSqh4+YyUwJgxZS8qY08PZ7HUT//zbCrXumABfVdWDQa6NA47j2WrCmB7NWlLGdJ3PgWQRucB7fE+za+uBR5o9u5rg/T4KeAxP9+FMEbnmDObXmLBjQcqYLqKq9cBDwBrvwImjzS4/B/QC9olIBvBcs21UHlfVY8C3gYUiEnuGs25M2LBV0I0xxoQta0kZY4wJWxakjDHGhC0LUsYYY8KWBSljjDFhy4KUMcaYsGVByhhjTNiyIGWMMSZs/T8FRyZaL5W1+AAAAABJRU5ErkJggg==",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
}
],
"source": [
- "plt.plot(interp1d(f_time,t_vals_interp,kind='cubic')(f_time[1:-1]+40) - f_vals[1:-1])"
+ "alignment = dtw(query, template, keep_internals=True, step_pattern='symmetric2')\n",
+ "print(alignment.distance)\n",
+ "alignment.plot(type=\"twoway\",offset=-2)\n",
+ "dtw(query, template, keep_internals=True, step_pattern=rabinerJuangStepPattern(6, \"c\")).plot(type=\"twoway\",offset=-2)"
]
},
+ {
+ "cell_type": "markdown",
+ "id": "5ffbc62a",
+ "metadata": {},
+ "source": []
+ },
{
"cell_type": "code",
- "execution_count": 12,
- "id": "1e4a0005-1f22-4c58-a8fc-25f01a2d3b76",
+ "execution_count": 28,
+ "id": "f112920a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
- "221.48362918082947\n"
+ "hi\n",
+ "(99,)\n",
+ "(100,)\n"
]
}
],
- "source": []
+ "source": [
+ "mywarp = warp(alignment,index_reference=True)\n",
+ "print(mywarp.shape)\n",
+ "print(query.shape)\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "id": "6145e0d5",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(146,)"
+ ]
+ },
+ "execution_count": 24,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "alignment.index2.shape"
+ ]
},
{
"cell_type": "code",
@@ -1507,6 +1654,527 @@
"plt.plot(crosscorr),plt.ylim([35,40])\n",
"np.where(crosscorr==np.max(crosscorr))"
]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e660cde6",
+ "metadata": {},
+ "source": [
+ "# dynamic time warping"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 54,
+ "id": "1b98d3d1",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "execution_count": 54,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "trial_idx = 0\n",
+ "dist = []\n",
+ "for trial_idx in np.arange(0,18):\n",
+ " t_ref = res['trial_data']['ref_interp'][trial_idx]\n",
+ " t_for = res['trial_data']['for_interp'][trial_idx]\n",
+ " tw = dtw(t_for, t_ref, keep_internals=True,step_pattern=\"mori2006\")\n",
+ " # tw.plot(type=\"threeway\",offset=0)\n",
+ " dist.append(tw.distance)\n",
+ " # plt.plot(t_ref)\n",
+ " # plt.plot(t_for)\n",
+ "dist1 = np.array(dist).copy()\n",
+ "plt.plot(dist,'.-')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 51,
+ "id": "02af7a59",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "execution_count": 51,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "trial_idx = 0\n",
+ "dist = []\n",
+ "for trial_idx in np.arange(0,18):\n",
+ " t_ref = res['trial_data']['ref_interp'][trial_idx]\n",
+ " t_for = res['trial_data']['for_interp'][trial_idx]\n",
+ " tw = dtw(t_for, t_ref, keep_internals=True,step_pattern=\"asymmetric\")\n",
+ " # tw.plot(type=\"threeway\",offset=0)\n",
+ " dist.append(tw.distance)\n",
+ " # plt.plot(t_ref)\n",
+ " # plt.plot(t_for)\n",
+ "dist2 = np.array(dist).copy()\n",
+ "plt.plot(dist,'.-')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 52,
+ "id": "277ff6bc",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([[1. , 0.98673476],\n",
+ " [0.98673476, 1. ]])"
+ ]
+ },
+ "execution_count": 52,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(dist1,dist2,'.')\n",
+ "np.corrcoef(dist1,dist2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 53,
+ "id": "9f22a085",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "execution_count": 53,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "trial_idx = 0\n",
+ "dist = []\n",
+ "for trial_idx in np.arange(0,18):\n",
+ " t_ref = res['trial_data']['ref_interp'][trial_idx]\n",
+ " t_for = res['trial_data']['for_interp'][trial_idx]\n",
+ " tw = dtw(t_for, t_ref, keep_internals=True, step_pattern=rabinerJuangStepPattern(6, \"c\"))\n",
+ " # tw.plot(type=\"threeway\",offset=0)\n",
+ " dist.append(tw.distance)\n",
+ " # plt.plot(t_ref)\n",
+ " # plt.plot(t_for)\n",
+ "dist3 = np.array(dist).copy()\n",
+ "plt.plot(dist,'.-')"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 35,
+ "id": "a60fde91",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "108.13838883500775\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 35,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "trial_idx = 0\n",
+ "t_ref = res['trial_data']['ref_interp'][trial_idx] #trial ref and force values, in same timespace\n",
+ "t_for = res['trial_data']['for_interp'][trial_idx]\n",
+ "# tw = dtw(t_for, t_ref, keep_internals=True,step_pattern=rabinerJuangStepPattern(6, \"c\"))\n",
+ "tw = dtw(t_for, t_ref, keep_internals=True, step_pattern='asymmetric')\n",
+ "tw.plot(type=\"threeway\",offset=0)\n",
+ " # plt.plot(t_ref)\n",
+ " # plt.plot(t_for)\n",
+ "print(tw.distance)\n",
+ "\n",
+ "plt.figure()\n",
+ "plt.plot(t_ref,label='ref')\n",
+ "plt.plot(t_for,label='for')\n",
+ "plt.legend()\n",
+ "# plt.figure()\n",
+ "# plt.spy(tw.directionMatrix)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "id": "8c2adeb7",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 36,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# plt.figure(figsize=(20,5))\n",
+ "tw.plot(type=\"twoway\",offset=-1)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "id": "9a147463",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/opt/quarantine/miniforge/envs/py3p9/lib/python3.9/site-packages/dtw/warp.py:30: RuntimeWarning: invalid value encountered in divide\n",
+ " return numpy.arange(len(n)), s/n\n"
+ ]
+ },
+ {
+ "ename": "IndexError",
+ "evalue": "index -9223372036854775808 is out of bounds for axis 0 with size 2880",
+ "output_type": "error",
+ "traceback": [
+ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+ "\u001b[0;31mIndexError\u001b[0m Traceback (most recent call last)",
+ "\u001b[0;32m/tmp/ipykernel_2722477/4145578987.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;31m# plt.plot(t_for, 'r:',alpha=0.5)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_ref\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m'k'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mt_for\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mwarp_q\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m'r'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;31mIndexError\u001b[0m: index -9223372036854775808 is out of bounds for axis 0 with size 2880"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "warp_q = warp(tw,index_reference=False) #query -> reference\n",
+ "warp_r = warp(tw,index_reference=True) #reference -> query\n",
+ "# plt.plot(t_for, 'r:',alpha=0.5)\n",
+ "plt.plot(t_ref,'k')\n",
+ "plt.plot(t_for[warp_q],'r') \n",
+ "\n",
+ "plt.figure()\n",
+ "plt.plot(t_for,'r')\n",
+ "plt.plot(t_ref[warp_r],'k')\n",
+ "\n",
+ "# print(np.sqrt(np.mean((t_ref - t_for[warp_q])**2)))\n",
+ "# print(np.sqrt(np.mean((t_for - t_ref[warp_r])**2)))\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "d2630d70",
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 57,
+ "id": "5d1a9148",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "execution_count": 57,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(np.diff(np.sort(warp_q)))\n",
+ "# t_for.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "f857adb0",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "102.14214268249627"
+ ]
+ },
+ "execution_count": 21,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": []
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "3a9eeb64",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Importing the dtw module. When using in academic works please cite:\n",
+ " T. Giorgino. Computing and Visualizing Dynamic Time Warping Alignments in R: The dtw Package.\n",
+ " J. Stat. Soft., doi:10.18637/jss.v031.i07.\n",
+ "\n",
+ "Step pattern recursion:\n",
+ " g[i,j] = min(\n",
+ " g[i-3,j-2] + d[i-2,j-1] + d[i-1,j ] + d[i ,j ] ,\n",
+ " g[i-1,j-1] + d[i ,j ] ,\n",
+ " g[i-2,j-3] + d[i-1,j-2] + d[i ,j-1] + 0 * d[i ,j ] ,\n",
+ " ) \n",
+ "\n",
+ "Normalization hint: N\n",
+ "\n"
+ ]
+ },
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/opt/quarantine/miniforge/envs/py3p9/lib/python3.9/site-packages/dtw/stepPattern.py:339: UserWarning: marker is redundantly defined by the 'marker' keyword argument and the fmt string \"o\" (-> marker='o'). The keyword argument will take precedence.\n",
+ " ax.plot(-x[ss, 1], -x[ss, 2], 'o', color=\"black\", marker=\"o\", fillstyle=\"none\")\n",
+ "/opt/quarantine/miniforge/envs/py3p9/lib/python3.9/site-packages/dtw/stepPattern.py:339: UserWarning: marker is redundantly defined by the 'marker' keyword argument and the fmt string \"o\" (-> marker='o'). The keyword argument will take precedence.\n",
+ " ax.plot(-x[ss, 1], -x[ss, 2], 'o', color=\"black\", marker=\"o\", fillstyle=\"none\")\n",
+ "/opt/quarantine/miniforge/envs/py3p9/lib/python3.9/site-packages/dtw/stepPattern.py:339: UserWarning: marker is redundantly defined by the 'marker' keyword argument and the fmt string \"o\" (-> marker='o'). The keyword argument will take precedence.\n",
+ " ax.plot(-x[ss, 1], -x[ss, 2], 'o', color=\"black\", marker=\"o\", fillstyle=\"none\")\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from dtw import *\n",
+ "\n",
+ "## A noisy sine wave as query\n",
+ "idx = np.linspace(0,6.28,num=100)\n",
+ "query = np.sin(idx) + np.random.uniform(size=100)/10.0\n",
+ "\n",
+ "## A cosine is for template; sin and cos are offset by 25 samples\n",
+ "template = np.cos(idx)\n",
+ "\n",
+ "## Find the best match with the canonical recursion formula\n",
+ "\n",
+ "alignment = dtw(query, template, keep_internals=True)\n",
+ "\n",
+ "## Display the warping curve, i.e. the alignment curve\n",
+ "alignment.plot(type=\"threeway\")\n",
+ "\n",
+ "## Align and plot with the Rabiner-Juang type VI-c unsmoothed recursion\n",
+ "dtw(query, template, keep_internals=True, \n",
+ " step_pattern=rabinerJuangStepPattern(6, \"c\"))\\\n",
+ " .plot(type=\"twoway\",offset=-2)\n",
+ "\n",
+ "## See the recursion relation, as formula and diagram\n",
+ "print(rabinerJuangStepPattern(6,\"c\"))\n",
+ "rabinerJuangStepPattern(6,\"c\").plot()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "ae7ea58e",
+ "metadata": {},
+ "outputs": [],
+ "source": []
}
],
"metadata": {
diff --git a/spft/__pycache__/spft.cpython-39.pyc b/spft/__pycache__/spft.cpython-39.pyc
index 5c7f99e..ca138de 100644
Binary files a/spft/__pycache__/spft.cpython-39.pyc and b/spft/__pycache__/spft.cpython-39.pyc differ
diff --git a/spft/config_files/SPFT_LRN_long.yml b/spft/config_files/SPFT_LAB_data_ms.yml
similarity index 75%
rename from spft/config_files/SPFT_LRN_long.yml
rename to spft/config_files/SPFT_LAB_data_ms.yml
index ca98a1d..3355e7d 100644
--- a/spft/config_files/SPFT_LRN_long.yml
+++ b/spft/config_files/SPFT_LAB_data_ms.yml
@@ -16,83 +16,62 @@ blocks:
feedbackDuration: 2000
interTrialInterval: 1000
trials:
- - name: "1_LRN"
+ - name: "1_SMP"
sequenceRef: "smp"
- - name: "2_LRN"
+ - name: "2_SMP"
sequenceRef: "smp"
- - name: "3_LRN"
+ - name: "3_SMP"
sequenceRef: "smp"
- name: "4_LRN"
- sequenceRef: "rst"
- - name: "5_LRN"
- sequenceRef: "rst"
- - name: "6_LRN"
- sequenceRef: "rst"
- - name: "7_LRN"
sequenceRef: "lrn"
- - name: "8_LRN"
+ - name: "5_LRN"
sequenceRef: "lrn"
- - name: "9_LRN"
+ - name: "6_LRN"
sequenceRef: "lrn"
- name: "block2"
instructions: "Block2 starting"
instructionsDuration: 2000
feedback: "Block2 finished"
feedbackDuration: 2000
- interTrialInterval: 500
+ interTrialInterval: 1000
trials:
- - name: "10_LRN"
+ - name: "7_SMP"
sequenceRef: "smp"
- - name: "11_LRN"
+ - name: "8_SMP"
sequenceRef: "smp"
- - name: "12_LRN"
+ - name: "9_SMP"
sequenceRef: "smp"
- - name: "13_LRN"
- sequenceRef: "rst"
- - name: "14_LRN"
- sequenceRef: "rst"
- - name: "15_LRN"
- sequenceRef: "rst"
- - name: "16_LRN"
+ - name: "10_LRN"
sequenceRef: "lrn"
- - name: "17_LRN"
+ - name: "11_LRN"
sequenceRef: "lrn"
- - name: "18_LRN"
+ - name: "12_LRN"
sequenceRef: "lrn"
- name: "block3"
instructions: "Block3 starting"
instructionsDuration: 2000
feedback: "Block3 finished"
feedbackDuration: 2000
- interTrialInterval: 500
+ interTrialInterval: 1000
trials:
- - name: "19_LRN"
+ - name: "13_SMP"
sequenceRef: "smp"
- - name: "20_LRN"
+ - name: "14_SMP"
sequenceRef: "smp"
- - name: "21_LRN"
+ - name: "15_SMP"
sequenceRef: "smp"
- - name: "22_LRN"
- sequenceRef: "rst"
- - name: "23_LRN"
- sequenceRef: "rst"
- - name: "24_LRN"
- sequenceRef: "rst"
- - name: "25_LRN"
+ - name: "16_LRN"
sequenceRef: "lrn"
- - name: "26_LRN"
+ - name: "17_LRN"
sequenceRef: "lrn"
- - name: "27_LRN"
+ - name: "18_LRN"
sequenceRef: "lrn"
sequences:
smp:
- frequency: 80
+ frequency: 12
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-
\ No newline at end of file
+
diff --git a/spft/config_files/force_pyramid.yml b/spft/config_files/force_pyramid.yml
new file mode 100644
index 0000000..dcfb9cd
--- /dev/null
+++ b/spft/config_files/force_pyramid.yml
@@ -0,0 +1,25 @@
+sessionName: force_pyramid
+outputSuffix: force_pyramid-file.yml
+interBlockInterval: 2000
+triggers: [ "5", "7" ] # optional. If missing, the task will start as soon as the "Start" button is clicked
+colours: # optional
+ leftReference: 1D8348
+ leftForce: 82E0AA
+forceProportionRange:
+ min: 0.00
+ max: 1.00
+blocks:
+ - name: "Block1"
+ instructions: "Block1 starting"
+ instructionsDuration: 2000
+ feedback: "Block1 finished"
+ feedbackDuration: 2000
+ interTrialInterval: 1000
+ trials:
+ - name: "1_pyramid"
+ sequenceRef: "pyramid"
+
+sequences:
+ pyramid:
+ frequency: 3000
+ valuesLeft: [.05,.2,.4,.6,.6,.4,.2,.05]
\ No newline at end of file
diff --git a/spft/config_files/maximum_voluntary_contraction.yml b/spft/config_files/maximum_voluntary_contraction.yml
new file mode 100644
index 0000000..d4693c7
--- /dev/null
+++ b/spft/config_files/maximum_voluntary_contraction.yml
@@ -0,0 +1,25 @@
+sessionName: maximum_voluntary_contraction
+outputSuffix: mvc-file.yml
+interBlockInterval: 2000
+triggers: [ "5", "7" ] # optional. If missing, the task will start as soon as the "Start" button is clicked
+colours: # optional
+ leftReference: 1D8348
+ leftForce: 82E0AA
+forceProportionRange:
+ min: 0.00
+ max: 1.00
+blocks:
+ - name: "Block1"
+ instructions: "Pinch as hard as you can"
+ instructionsDuration: 5000
+ feedback: "Done, thank you"
+ feedbackDuration: 5000
+ interTrialInterval: 1000
+ trials:
+ - name: "1_mvc"
+ sequenceRef: "mvc"
+
+sequences:
+ mvc:
+ frequency: 1000
+ valuesLeft: [.05,.05,.05,.05,.05]
\ No newline at end of file
diff --git a/spft/scripts/compute_CMC.m b/spft/scripts/compute_CMC.m
new file mode 100644
index 0000000..12dc4e7
--- /dev/null
+++ b/spft/scripts/compute_CMC.m
@@ -0,0 +1,146 @@
+resample_freq = 500; %need to know the resample frequency, since this determines where our times are
+triggers = [EEG.event.latency];
+triggers = triggers(2:end); %skip the first one, since it appears to be a dummy value
+
+%check if we have the correct number of triggers
+num_triggers = 3*3*5*2; %nine 3 trials for each block, 3 sequences (LRN,SMP,RST), 2 events per trial (start,stop)
+
+%if this is true, then we are good to go!
+numel(triggers) == num_triggers
+
+%
+triggers = triggers./resample_freq*1000; %to put into same time space as "times", divide by freq and convert to ms
+times = EEG.times;
+
+trigger_idxs = [];
+for i = 1:length(triggers)
+ index = find(times >=triggers(i) ,1);
+ trigger_idxs = [trigger_idxs,index];
+end
+
+
+trigger_idxs_on = trigger_idxs(1:2:end);
+trigger_idxs_off = trigger_idxs(2:2:end);
+
+%assuming LRN, SMP, RST, with 3 trials each and 5 blocks
+LRN_idx= [1:3,[1:3]+9*1,[1:3]+9*2,[1:3]+9*3,[1:3]+9*4];
+LRN_on = trigger_idxs_on(LRN_idx);
+LRN_off = trigger_idxs_off(LRN_idx);
+SMP_on = trigger_idxs_on(LRN_idx+3);
+SMP_off = trigger_idxs_off(LRN_idx+3);
+RST_on = trigger_idxs_on(LRN_idx+6);
+RST_off = trigger_idxs_off(LRN_idx+6);
+
+%% Concatenate trial data from EEG and EMG before computing coherence,
+raw_d = EEG.data(5,:); %specify the data that you are going to work with (5 is c3 in our example data)
+for i=1:length(SMP_on)
+ temp_d2 = raw_d(SMP_on(i):SMP_off(i));
+ if i == 1
+ temp_d = temp_d2;
+ else
+ temp_d = horzcat(temp_d,temp_d2);
+end
+temp_d = temp_d./length(SMP_on);
+C3_SMP_vec = temp_d;
+
+for i=1:length(LRN_on)
+ temp_d2 = raw_d(LRN_on(i):LRN_off(i));
+ if i == 1
+ temp_d = temp_d2;
+ else
+ temp_d = horzcat(temp_d,temp_d2);
+end
+temp_d = temp_d./length(LRN_on);
+C3_LRN_vec = temp_d;
+
+for i=1:length(RST_on)
+ temp_d2 = raw_d(RST_on(i):RST_off(i));
+ if i == 1
+ temp_d = temp_d2;
+ else
+ temp_d = horzcat(temp_d,temp_d2);
+end
+temp_d = temp_d./length(RST_on);
+C3_RST_vec = temp_d;
+
+%same thing, but for EMG data
+raw_d = [] %specify the EMG data here
+for i=1:length(SMP_on)
+ temp_d2 = raw_d(SMP_on(i):SMP_off(i));
+ if i == 1
+ temp_d = temp_d2;
+ else
+ temp_d = horzcat(temp_d,temp_d2);
+end
+temp_d = temp_d./length(SMP_on);
+EMG1_SMP_vec = temp_d;
+
+for i=1:length(LRN_on)
+ temp_d2 = raw_d(LRN_on(i):LRN_off(i));
+ if i == 1
+ temp_d = temp_d2;
+ else
+ temp_d = horzcat(temp_d,temp_d2);
+end
+temp_d = temp_d./length(LRN_on);
+EMG1_LRN_vec = temp_d;
+
+for i=1:length(RST_on)
+ temp_d2 = raw_d(RST_on(i):RST_off(i));
+ if i == 1
+ temp_d = temp_d2;
+ else
+ temp_d = horzcat(temp_d,temp_d2);
+end
+temp_d = temp_d./length(RST_on);
+EMG1_RST_vec = temp_d;
+
+%% OLDER STUFF -- Compute average per trial (for testing only)
+%create average for SMP trials
+temp_d = zeros(1,8762); %THIS IS JUST FOR TESTING!
+for i=1:length(SMP_on)
+ temp_d2 = EEG.data(5,SMP_on(i):SMP_off(i));
+ disp(length(temp_d2))
+ temp_d = temp_d + temp_d2(1:8762);
+end
+temp_d = temp_d./length(SMP_on);
+SMP_avg = temp_d;
+
+%now for LRN trials
+temp_d = zeros(1,8762);%THIS IS JUST FOR TESTING
+for i=1:length(LRN_on)
+ temp_d2 = EEG.data(5,LRN_on(i):LRN_off(i));
+ disp(length(temp_d2))
+ temp_d = temp_d + temp_d2(1:8762);
+end
+temp_d = temp_d./length(LRN_on);
+LRN_avg = temp_d;
+
+
+%% EMG
+%initial code for EMG extraction, we assume the timecodes are the same
+% BUT we should likely check
+emg_1 = ALLEEG(2).data(1,:);
+
+%create emg average for SMP trials
+temp_d = zeros(1,8762); %THIS IS JUST FOR TESTING!
+for i=1:length(SMP_on)
+ temp_d2 = emg_1(SMP_on(i):SMP_off(i));
+ disp(length(temp_d2))
+ temp_d = temp_d + temp_d2(1:8762);
+end
+temp_d = temp_d./length(SMP_on);
+emg_1_SMP_avg = temp_d;
+
+
+emg_2 = ALLEEG(2).data(2,:);
+%create emg average for SMP trials
+temp_d = zeros(1,8762); %THIS IS JUST FOR TESTING!
+for i=1:length(SMP_on)
+ temp_d2 = emg_2(SMP_on(i):SMP_off(i));
+ disp(length(temp_d2))
+ temp_d = temp_d + temp_d2(1:8762);
+end
+temp_d = temp_d./length(SMP_on);
+emg_2_SMP_avg = temp_d;
+%%
diff --git a/spft/scripts/compute_maxPower.py b/spft/scripts/compute_maxPower.py
new file mode 100644
index 0000000..72fe917
--- /dev/null
+++ b/spft/scripts/compute_maxPower.py
@@ -0,0 +1,29 @@
+'''
+code to calculate the max power of a signal, from here (https://stackoverflow.com/questions/58193209/function-to-determine-the-frequency-of-a-sinusoid)
+this relates to the SPFT sequences, which have max power at 0.52 Hz
+'''
+
+import numpy as np
+from matplotlib import pyplot as plt
+
+
+d = #your data vector [...]
+fs = 1000/12 #sampling frequency (of your signal, of course)
+y_fft = np.fft.fft(d-np.mean(d)) # Original FFT, offset removed
+y_fft = y_fft[:round(len(d)/2)] # First half ( pos freqs )
+y_fft = np.abs(y_fft) # Absolute value of magnitudes
+y_fft = y_fft/max(y_fft) # Normalized so max = 1
+
+freq_x_axis = np.linspace(0, fs/2, len(y_fft))
+plt.figure()
+plt.plot(freq_x_axis, y_fft, "o-")
+plt.title("Frequency magnitudes")
+plt.xlabel("Frequency")
+plt.ylabel("Magnitude")
+plt.grid()
+plt.tight_layout()
+plt.show()
+
+f_loc = np.argmax(y_fft) # Finds the index of the max
+f_val = freq_x_axis[f_loc] # The strongest frequency value
+print(f"The strongest frequency is f = {f_val}")
diff --git a/spft/spft.py b/spft/spft.py
index 56f9e4a..04e1a6f 100644
--- a/spft/spft.py
+++ b/spft/spft.py
@@ -44,6 +44,22 @@ def compute_normalized_force_response(device_force_values, MVC, forceRangeMin=0.
norm_resp[norm_resp>clamp[1]] = clamp[1]
return norm_resp
+def compute_dtw_metrics(t_ref,t_for,global_constraint=None,sakoe_chiba_radius=None,itakura_max_slope=None):
+ """
+ Perform dynamic time warping with tslearn to compute shortest path and distance score (euclidean) between two timeseries
+ Under ideal conditions where the entire timeseries is uniformly shifted in time, mean/median path difference (vs diagonal)
+ is equivalent to the number of samples shifted in time (i.e., lag) mean/median lags are **EXPERIMENTAL**
+
+ global_constraint: constraint on path based on {“itakura”, “sakoe_chiba”} or None (default: None)
+ sakoe_chiba_radius: radius, in steps, from diagonal
+ itakura_max_slope: maximum slope of path allowed
+ """
+ from tslearn.metrics import dtw_path
+ path, distance = dtw_path(t_ref,t_for,global_constraint=global_constraint,sakoe_chiba_radius=sakoe_chiba_radius, itakura_max_slope=itakura_max_slope)
+ _diff = np.diff(path,axis=1)
+ return {"path":path, "distance":distance,"mean_lag":np.mean(_diff),"median_lag":np.median(_diff)}
+
+
def lag_calc(yy,yy_shifted):
"""
Calculate lag, in discrete samples with cross-correlation. I.e., max resolution is one sample (1/freq)
@@ -91,7 +107,9 @@ def get_trial_type_from_name(trial_name, trial_type_keys):
def score_spft_data(data,device_idx=0,description = "e.g., right hand performance",
reference_designation='leftReference', trial_type_keys = ['LRN','SMP','RST'],
- exclude_meta_keys = ['blocks','devices'], save_trial_data=True):
+ exclude_meta_keys = ['blocks','devices'], save_trial_data=True,
+ global_constraint=None,sakoe_chiba_radius=None,itakura_max_slope=None,
+ normalize_path_len=True):
"""
Compute lag and rmse/sse for SPFT data per trial for all trial_type_keys. Output dictionary contains metadata
from input, blocked data by trial_type ['block_?'] and concatenated data by trial_type ['all'].
@@ -124,7 +142,7 @@ def score_spft_data(data,device_idx=0,description = "e.g., right hand performanc
res['trial_data']['for_time_raw'] = []
res['trial_data']['ref_interp_snipped'] = []
res['trial_data']['for_interp_snipped'] = []
-
+ res['trial_data']['dtw_path'] = []
for trial_type in trial_type_keys:
res['all'][trial_type] = {}
@@ -134,7 +152,11 @@ def score_spft_data(data,device_idx=0,description = "e.g., right hand performanc
res['all'][trial_type]['raw_sse'] = []
res['all'][trial_type]['rmse'] = []
res['all'][trial_type]['sse'] = []
-
+ res['all'][trial_type]['dtw_path_len'] = []
+ res['all'][trial_type]['dtw_distance'] = []
+ res['all'][trial_type]['dtw_mean_lag_ms'] = []
+ res['all'][trial_type]['dtw_median_lag_ms'] = []
+
for block_idx in np.arange(len(blocks)):
res[f'block_{block_idx}'] = {}
for trial_type in trial_type_keys:
@@ -145,6 +167,10 @@ def score_spft_data(data,device_idx=0,description = "e.g., right hand performanc
res[f'block_{block_idx}'][trial_type]['raw_sse'] = []
res[f'block_{block_idx}'][trial_type]['rmse'] = []
res[f'block_{block_idx}'][trial_type]['sse'] = []
+ res[f'block_{block_idx}'][trial_type]['dtw_path_len'] = []
+ res[f'block_{block_idx}'][trial_type]['dtw_distance'] = []
+ res[f'block_{block_idx}'][trial_type]['dtw_mean_lag_ms'] = []
+ res[f'block_{block_idx}'][trial_type]['dtw_median_lag_ms'] = []
for trial_idx in np.arange(len(blocks[block_idx]['trials'])):
trial_name = blocks[block_idx]['trials'][trial_idx]['trialName']
@@ -163,7 +189,7 @@ def score_spft_data(data,device_idx=0,description = "e.g., right hand performanc
# bring ref vals into the same time space by interpolating, for direct comparison
# then compute lag and other metrics, also shift by lag and compute metrics again
- # times are in ms, and we use the median time per interval for the conversion of lag (in timestep units) to ms
+ # times are in ms, and we use the mean time per interval for the conversion of lag (in timestep units) to ms
# return for_time,ref_time,for_vals,ref_vals
common_time = np.linspace(ref_time.min(),ref_time.max(),ref_time.shape[0]*2)
ref_vals_interp = np.interp(common_time,ref_time,ref_vals)
@@ -220,6 +246,9 @@ def score_spft_data(data,device_idx=0,description = "e.g., right hand performanc
# print(np.corrcoef(snipped_for_vals,snipped_ref_vals)[0,1])
# print(np.corrcoef(ref_vals_interp,np.interp(for_time+trial_lag_ms, for_time,for_vals))[0,1])
+ ## dynmaic time warping data
+ dtw_res = compute_dtw_metrics(ref_vals_interp,for_vals_interp,global_constraint=global_constraint,sakoe_chiba_radius=sakoe_chiba_radius,itakura_max_slope=itakura_max_slope) #still need to *time_per_interval to bring into ms
+ ## end dynamic time warping data
if save_trial_data:
res['trial_data']['ref_interp'].append(ref_vals_interp)
res['trial_data']['for_interp'].append(for_vals_interp)
@@ -232,7 +261,7 @@ def score_spft_data(data,device_idx=0,description = "e.g., right hand performanc
res['trial_data']['ref_interp_snipped'].append(snipped_ref_vals)
res['trial_data']['for_interp_snipped'].append(snipped_for_vals)
-
+ res['trial_data']['dtw_path'].append(dtw_res['path'])
#block-wise data
res[f'block_{block_idx}'][trial_type]['lag_xcorr_ms'].append(trial_lag_xcorr_ms)
@@ -241,6 +270,13 @@ def score_spft_data(data,device_idx=0,description = "e.g., right hand performanc
res[f'block_{block_idx}'][trial_type]['raw_sse'].append(trial_sse)
res[f'block_{block_idx}'][trial_type]['rmse'].append(lag_aligned_trial_rmse)
res[f'block_{block_idx}'][trial_type]['sse'].append(lag_aligned_trial_sse)
+ res[f'block_{block_idx}'][trial_type]['dtw_distance'].append(dtw_res['distance'])
+ if normalize_path_len:
+ res[f'block_{block_idx}'][trial_type]['dtw_path_len'].append(len(dtw_res['path'])/(len(ref_vals_interp)+len(for_vals_interp)))
+ else:
+ res[f'block_{block_idx}'][trial_type]['dtw_path_len'].append(len(dtw_res['path']))
+ res[f'block_{block_idx}'][trial_type]['dtw_mean_lag_ms'].append(dtw_res['mean_lag']*time_per_interval)
+ res[f'block_{block_idx}'][trial_type]['dtw_median_lag_ms'].append(dtw_res['median_lag']*time_per_interval)
#all data concatenated
res['all'][trial_type]['lag_xcorr_ms'].append(trial_lag_xcorr_ms)
@@ -249,6 +285,13 @@ def score_spft_data(data,device_idx=0,description = "e.g., right hand performanc
res['all'][trial_type]['raw_sse'].append(trial_sse)
res['all'][trial_type]['rmse'].append(lag_aligned_trial_rmse)
res['all'][trial_type]['sse'].append(lag_aligned_trial_sse)
+ res['all'][trial_type]['dtw_distance'].append(dtw_res['distance'])
+ if normalize_path_len:
+ res['all'][trial_type]['dtw_path_len'].append(len(dtw_res['path'])/(len(ref_vals_interp)+len(for_vals_interp)))
+ else:
+ res['all'][trial_type]['dtw_path_len'].append(len(dtw_res['path']))
+ res['all'][trial_type]['dtw_mean_lag_ms'].append(dtw_res['mean_lag']*time_per_interval)
+ res['all'][trial_type]['dtw_median_lag_ms'].append(dtw_res['median_lag']*time_per_interval)
#convert the current block results to numpy arrays
res[f'block_{block_idx}'][trial_type]['lag_xcorr_ms'] = np.array(res[f'block_{block_idx}'][trial_type]['lag_xcorr_ms'])
@@ -257,6 +300,10 @@ def score_spft_data(data,device_idx=0,description = "e.g., right hand performanc
res[f'block_{block_idx}'][trial_type]['raw_sse'] = np.array(res[f'block_{block_idx}'][trial_type]['raw_sse'])
res[f'block_{block_idx}'][trial_type]['rmse'] = np.array(res[f'block_{block_idx}'][trial_type]['rmse'])
res[f'block_{block_idx}'][trial_type]['sse'] = np.array(res[f'block_{block_idx}'][trial_type]['sse'])
+ res[f'block_{block_idx}'][trial_type]['dtw_distance'] = np.array(res[f'block_{block_idx}'][trial_type]['dtw_distance'])
+ res[f'block_{block_idx}'][trial_type]['dtw_path_len'] = np.array(res[f'block_{block_idx}'][trial_type]['dtw_path_len'])
+ res[f'block_{block_idx}'][trial_type]['dtw_mean_lag_ms'] = np.array(res[f'block_{block_idx}'][trial_type]['dtw_mean_lag_ms'])
+ res[f'block_{block_idx}'][trial_type]['dtw_median_lag_ms'] = np.array(res[f'block_{block_idx}'][trial_type]['dtw_median_lag_ms'])
# plt.figure()
# plt.plot(for_time,ref_vals_interp,'k-',label='reference')
@@ -280,5 +327,9 @@ def score_spft_data(data,device_idx=0,description = "e.g., right hand performanc
res['all'][trial_type]['raw_sse'] = np.array(res['all'][trial_type]['raw_sse'])
res['all'][trial_type]['rmse'] = np.array(res['all'][trial_type]['rmse'])
res['all'][trial_type]['sse'] = np.array(res['all'][trial_type]['sse'])
+ res['all'][trial_type]['dtw_distance'] = np.array(res['all'][trial_type]['dtw_distance'])
+ res['all'][trial_type]['dtw_path_len'] = np.array(res['all'][trial_type]['dtw_path_len'])
+ res['all'][trial_type]['dtw_mean_lag_ms'] = np.array(res['all'][trial_type]['dtw_mean_lag_ms'])
+ res['all'][trial_type]['dtw_median_lag_ms'] = np.array(res['all'][trial_type]['dtw_median_lag_ms'])
return res
\ No newline at end of file
diff --git a/spft/testing/config_TMST_test.yml b/spft/testing/config_TMST_test.yml
index e1c79b2..ee86620 100644
--- a/spft/testing/config_TMST_test.yml
+++ b/spft/testing/config_TMST_test.yml
@@ -1,5 +1,5 @@
-sessionName: TMST_test
-outputSuffix: TMST_test_out-file.yml
+sessionName: force_pyramid
+outputSuffix: force_pyramid-file.yml
interBlockInterval: 2000
triggers: [ "5", "7" ] # optional. If missing, the task will start as soon as the "Start" button is clicked
colours: # optional
@@ -7,7 +7,7 @@ colours: # optional
leftForce: 82E0AA
forceProportionRange:
min: 0.05
- max: 0.30
+ max: 0.95
blocks:
- name: "block1"
instructions: "Block1 starting"
diff --git a/spft/testing/output/xxx_Test_Right_Only_out-file.yml b/spft/testing/output/xxx_Test_Right_Only_out-file.yml
index 2246362..dcea169 100644
--- a/spft/testing/output/xxx_Test_Right_Only_out-file.yml
+++ b/spft/testing/output/xxx_Test_Right_Only_out-file.yml
@@ -1,20 +1,13 @@
sessionName: Test_Right_Only
-startTime: 2022-06-23T20:04:52.147907616Z
-configurationFile: /home/stechr/Documents/code/spft-java/spft/testing/2022_06_test_right_only/onetrial_SPFT_LAB_data.yml
-configurationChecksum: 1cdb9eb00ac1d843085f5945aa064b26
+startTime: 2022-09-26T13:54:04.932264621Z
+configurationFile: /home/stechr/Documents/code/spft-java/spft/testing/2022_06_test_right_only/SPFT_LAB_data_ms.yml
+configurationChecksum: 6b24311a701fcb6b84cdb7fbe8b47615
participantId: xxx
forceProportionRange:
min: 0.05
max: 0.3
blocks:
- blockName: block1
- startTimestamp: 23772824.70
+ startTimestamp: 209200788.98
trials:
- trialName: 1_SMP
- leftReference:
- times: [23774827.84, 23774845.17, 23774862.26, 23774879.38, 23774896.49, 23774913.61, 23774930.73, 23774947.84, 23774964.96, 23774982.12, 23774999.22, 23775016.34, 23775033.43, 23775050.55, 23775067.67, 23775084.76, 23775101.88, 23775119.00, 23775136.12, 23775153.22, 23775170.31, 23775187.43, 23775204.56, 23775221.66, 23775238.79, 23775255.92, 23775273.04, 23775290.15, 23775307.26, 23775324.38, 23775341.48, 23775358.58, 23775375.70, 23775392.82, 23775409.92, 23775427.04, 23775444.16, 23775461.31, 23775478.41, 23775495.52, 23775512.65, 23775529.77, 23775546.89, 23775564.01, 23775581.13, 23775598.23, 23775615.35, 23775632.46, 23775649.59, 23775666.70, 23775683.82, 23775700.94, 23775718.06, 23775735.17, 23775752.29, 23775769.42, 23775786.54, 23775803.65, 23775820.75, 23775837.87, 23775855.00, 23775872.11, 23775889.23, 23775906.32, 23775923.43, 23775940.56, 23775957.68, 23775974.80, 23775991.90, 23776009.00, 23776026.11, 23776043.24, 23776060.36, 23776077.45, 23776094.57, 23776111.69, 23776128.80, 23776145.94, 23776163.09, 23776180.20, 23776197.33, 23776214.43, 23776231.55, 23776248.67, 23776265.79, 23776282.90, 23776300.03, 23776317.15, 23776334.25, 23776351.37, 23776368.49, 23776385.61, 23776402.71, 23776419.83, 23776436.94, 23776454.05, 23776471.17, 23776488.26, 23776505.38, 23776522.50, 23776539.64, 23776556.72, 23776573.83, 23776590.92, 23776608.02, 23776625.12, 23776642.22, 23776659.31, 23776676.41, 23776693.50, 23776710.61, 23776727.71, 23776744.80, 23776761.88, 23776778.98, 23776796.08, 23776813.18, 23776830.28, 23776847.39, 23776864.49, 23776881.58, 23776898.67, 23776915.76, 23776932.86, 23776949.96, 23776967.04, 23776984.14, 23777001.23, 23777018.33, 23777035.42, 23777052.51, 23777069.60, 23777086.70, 23777103.80, 23777120.89, 23777137.98, 23777155.08, 23777172.16, 23777189.26, 23777206.35, 23777223.45, 23777240.55, 23777257.63, 23777274.71, 23777291.81, 23777308.90, 23777326.00, 23777343.10, 23777360.20, 23777377.29, 23777394.37, 23777411.44, 23777428.52, 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0.6381, 0.6524, 0.6667, 0.6762, 0.6905, 0.7048, 0.7143, 0.7286, 0.7381, 0.7524, 0.7619, 0.7714, 0.7857, 0.7952, 0.8048, 0.8143, 0.819, 0.8286, 0.8381, 0.8476, 0.8524, 0.8571, 0.8667, 0.8714, 0.8762, 0.881, 0.8857, 0.8905, 0.8905, 0.8952, 0.8952, 0.8952, 0.9, 0.9, 0.9, 0.8952, 0.8952, 0.8952, 0.8905, 0.8905, 0.8857, 0.881, 0.8762, 0.8714, 0.8667, 0.8571, 0.8524, 0.8476, 0.8381, 0.8286, 0.819, 0.8143, 0.8048, 0.7952, 0.7857, 0.7714, 0.7619, 0.7524, 0.7381, 0.7286, 0.7143, 0.7048, 0.6905, 0.6762, 0.6667, 0.6524, 0.6381, 0.6238, 0.6095, 0.5952, 0.581, 0.5667, 0.5571, 0.5429, 0.5286, 0.5143, 0.5, 0.4857, 0.4714, 0.4571, 0.4429, 0.4286, 0.419, 0.4048, 0.3905, 0.381, 0.3667, 0.3524, 0.3429, 0.3333, 0.319, 0.3095, 0.3, 0.2905, 0.281, 0.2714, 0.2619, 0.2524, 0.2429, 0.2381, 0.2286, 0.2238, 0.2143, 0.2095, 0.2048, 0.2, 0.1952, 0.1952, 0.1905, 0.1905, 0.1857, 0.1857, 0.1857, 0.1857, 0.1857, 0.1857, 0.1857, 0.1905, 0.1905, 0.1952, 0.1952, 0.2, 0.2048, 0.2095, 0.2143, 0.2238, 0.2286, 0.2381, 0.2429, 0.2524, 0.2619, 0.2714, 0.281, 0.2905, 0.3, 0.3095, 0.319, 0.3333, 0.3429, 0.3524, 0.3667, 0.381, 0.3905, 0.4048, 0.419, 0.4286, 0.4429, 0.4571, 0.4714, 0.4857, 0.5, 0.5143, 0.5286]
- endTimestamp: 23801431.80
-triggers:
- times: [23772823.95]
- values: [5]
diff --git a/src/main/java/com/github/neuralabc/spft/hardware/TriggerSender.java b/src/main/java/com/github/neuralabc/spft/hardware/TriggerSender.java
new file mode 100644
index 0000000..a82d597
--- /dev/null
+++ b/src/main/java/com/github/neuralabc/spft/hardware/TriggerSender.java
@@ -0,0 +1,155 @@
+package com.github.neuralabc.spft.hardware;
+
+import com.fazecast.jSerialComm.SerialPort;
+import com.github.neuralabc.spft.task.exceptions.ForceGaugeException;
+import com.github.neuralabc.spft.task.output.OutputSection;
+// import com.github.neuralabc.spft.ui.ExperimentFrame;
+import org.slf4j.Logger;
+import org.slf4j.LoggerFactory;
+
+import java.io.IOException;
+
+import java.nio.file.Path;
+import java.util.Arrays;
+import java.util.List;
+import java.util.stream.Collectors;
+
+//*
+// #after mamba install pyserial
+// import serial
+// port = "/dev/ttyACM0"
+// rate = 115200
+// s1 = serial.Serial(port,rate)
+// s1.flushInput()
+// s1.write(str.encode(str(1)+'/n'))
+
+// this is the python version that works just fine
+// {'baudrate': 115200,
+// 'bytesize': 8,
+// 'parity': 'N',
+// 'stopbits': 1,
+// 'xonxoff': False,
+// 'dsrdtr': False,
+// 'rtscts': False,
+// 'timeout': None,
+// 'write_timeout': None,
+// 'inter_byte_timeout': None}
+
+
+/**
+ * A serial output device to write integers to serial port to indicate start/stop of trials
+ */
+public class TriggerSender implements Runnable {
+ private static final Logger LOG = LoggerFactory.getLogger(TriggerSender.class);
+ private final String name;
+ private final OutputSection output;
+ private SerialPort commPort;
+ private Thread thread;
+ public static String DISABLED = "Disabled";
+ public static final TriggerSender DISABLED_DEVICE = new TriggerSender(DISABLED, DISABLED);
+ private static final byte[] TRIGGER_MESSAGE = {'1','\n'};
+ private static final char START_TRIAL_TRIGGER = '0';
+ private static final char STOP_TRIAL_TRIGGER = '1';
+ private static final int baudRate = 115200; // could make a variable as required, but this is the baudrate for the arduino mega
+
+
+ public TriggerSender(String deviceName, String portName) {
+ this.name = deviceName;
+ // this.binding = binding;
+ if (!deviceName.equals(DISABLED) && !portName.equals(DISABLED)) {
+ commPort = SerialPort.getCommPort(portName);
+ commPort.setParity(SerialPort.NO_PARITY);
+ commPort.setNumStopBits(SerialPort.ONE_STOP_BIT);
+ commPort.setNumDataBits(8);
+ // commPort.addDataListener(this);
+ commPort.setBaudRate(baudRate);
+ } else {
+ commPort = null;
+ }
+ if (this.commPort != null) {
+ this.commPort.openPort();
+ // //test write
+ // send((byte) 1);
+ }
+ output = new OutputSection(1);
+ }
+
+ //created this function to be able to set portName separately from class instantiation
+ public void setPort(String portName){
+ if (!portName.equals(DISABLED)) {
+ commPort = SerialPort.getCommPort(portName);
+ // output = new OutputSection(1); //this could be used to write to the output xml file if you like
+ // output.addEntry("- deviceName", deviceName);
+ // output.addEntry(" portName", portName);
+ commPort.setParity(SerialPort.NO_PARITY); //this should be the default already
+ commPort.setNumStopBits(SerialPort.ONE_STOP_BIT); // this should be the default already
+ commPort.setNumDataBits(8);
+ commPort.setBaudRate(baudRate);
+ }
+ if (this.commPort != null) {
+ this.commPort.openPort();
+ }
+ //** This is defined in setPort b/c before this point the portName had not been set */
+ // output = new OutputSection(1); //this could be used to write to the output xml file if you like
+ output.addEntry("- deviceName", this.name);
+ output.addEntry(" portName", portName);
+ //** */
+
+ }
+
+ public void start() {
+ if (isEnabled()) {
+ LOG.info("Starting trigger device {}", this);
+ thread = new Thread(this, name + "-triggerDevice"); // could rename here?
+ thread.start();
+ LOG.info("Trigger device successfully started");
+ } else {
+ LOG.trace("Not starting device {} because it's disabled", this);
+ }
+ }
+
+ public boolean isEnabled() {
+ return commPort != null;
+ }
+
+ @Override
+ public void run() {
+ // try {
+ // // Displaying the thread that is running
+ // System.out.println(
+ // "Thread " + thread.currentThread().getId()
+ // + " is running");
+ // }
+ // catch (Exception e) {
+ // // Throwing an exception
+ // System.out.println("Exception is caught");
+ // }
+ }
+
+ public void stop() {
+ if (isEnabled()) {
+ LOG.debug("Stopping device {}", this);
+ this.commPort.closePort();
+ thread.interrupt();
+ }
+ }
+
+ public void sendStart() {
+ if (this.isEnabled()){
+ this.commPort.writeBytes(TRIGGER_MESSAGE, TRIGGER_MESSAGE.length);
+ output.addSample(START_TRIAL_TRIGGER);
+ }
+ }
+ public void sendStop() {
+ if (this.isEnabled()){
+ this.commPort.writeBytes(TRIGGER_MESSAGE, TRIGGER_MESSAGE.length);
+ output.addSample(STOP_TRIAL_TRIGGER);
+ }
+ }
+ public void writeOutput(Path outputFile) throws IOException {
+ if (isEnabled()) {
+ LOG.debug("Writing sent trigger times from {}", this);
+ output.write(outputFile);
+ }
+ }
+}
\ No newline at end of file
diff --git a/src/main/java/com/github/neuralabc/spft/task/Block.java b/src/main/java/com/github/neuralabc/spft/task/Block.java
index 0bed6c8..6fb9766 100644
--- a/src/main/java/com/github/neuralabc/spft/task/Block.java
+++ b/src/main/java/com/github/neuralabc/spft/task/Block.java
@@ -1,5 +1,6 @@
package com.github.neuralabc.spft.task;
+import com.github.neuralabc.spft.hardware.TriggerSender;
import com.github.neuralabc.spft.task.config.BlockConfig;
import com.github.neuralabc.spft.task.config.SequenceConfig;
import com.github.neuralabc.spft.task.output.OutputSection;
@@ -21,9 +22,10 @@ public class Block {
private final BlockConfig config;
private final List trials;
- public Block(BlockConfig config, Map sequencesPool) {
+ public Block(BlockConfig config, Map sequencesPool, TriggerSender triggerSender) {
this.config = config;
- trials = config.getTrials().stream().map(trialConfig -> new Trial(trialConfig, sequencesPool)).collect(Collectors.toList());
+ //TODO: if you want to send triggers at the block level, keep it here in a member variable, if not just pass it to the Trial like i do here
+ trials = config.getTrials().stream().map(trialConfig -> new Trial(trialConfig, sequencesPool, triggerSender)).collect(Collectors.toList());
}
public void run(ExperimentFrame.Binding binding, Path outputFile) throws InterruptedException, IOException {
@@ -42,6 +44,10 @@ public void run(ExperimentFrame.Binding binding, Path outputFile) throws Interru
trialMetadataOutput.addEntry("- trialName", nextTrial.getName());
trialMetadataOutput.write(outputFile);
nextTrial.run(binding, outputFile);
+
+ //ISSUE: if there is only a single element in a trial, then the feedback will be displayed without waiting for the trial to complete
+ // current fix is to ensure that all trials have at least two elements
+
if (currentTrial < config.getTrials().size() - 1) {
binding.showLeftBars(trials.get(currentTrial + 1).hasLeftSequence());
binding.showRightBars(trials.get(currentTrial + 1).hasRightSequence());
diff --git a/src/main/java/com/github/neuralabc/spft/task/Session.java b/src/main/java/com/github/neuralabc/spft/task/Session.java
index d33f9ee..3f3ab90 100644
--- a/src/main/java/com/github/neuralabc/spft/task/Session.java
+++ b/src/main/java/com/github/neuralabc/spft/task/Session.java
@@ -1,6 +1,7 @@
package com.github.neuralabc.spft.task;
import com.github.neuralabc.spft.hardware.ForceGauge;
+import com.github.neuralabc.spft.hardware.TriggerSender;
import com.github.neuralabc.spft.hardware.TriggerTracker;
import com.github.neuralabc.spft.task.config.SessionConfig;
import com.github.neuralabc.spft.task.exceptions.OutputException;
@@ -36,6 +37,7 @@ public class Session implements Runnable {
private ForceGauge leftDevice;
private ForceGauge rightDevice;
private final TriggerTracker triggerTracker;
+ private TriggerSender triggerSender;
private Thread thread;
public Session(File selectedFile) {
@@ -51,8 +53,8 @@ public Session(File selectedFile) {
} else {
triggerTracker = TriggerTracker.NO_TRIGGERS;
}
-
- blocks = config.getBlocks().stream().map(blockConfig -> new Block(blockConfig, config.getSequences())).collect(Collectors.toList());
+ triggerSender = new TriggerSender("triggerDevice","Disabled"); // create a dummy instance of triggerSender that is disabled, before we know what port to look in
+ blocks = config.getBlocks().stream().map(blockConfig -> new Block(blockConfig, config.getSequences(), triggerSender)).collect(Collectors.toList());
} catch (FileNotFoundException ex) {
throw new SessionException("Error opening configuration", ex);
} catch (YAMLException ex) {
@@ -73,7 +75,16 @@ public void start(SessionParameters sessionParameters, ExperimentFrame.Binding b
rightDevice = new ForceGauge("rightDevice", sessionParameters.forceDevicesPorts().get(1), sessionParameters.maximumRightContraction, binding);
}
if (!leftDevice.isEnabled() && !rightDevice.isEnabled()) {
- LOG.warn("All devices are disabled. There will be no force data");
+ LOG.warn("All force devices are disabled. There will be no force data");
+ }
+ // triggerSender = new TriggerSender("triggerDevice",sessionParameters.usedTriggerPort(),binding);
+ triggerSender.setPort(sessionParameters.usedTriggerPort()); // update the port for the triggerSender
+ if (!triggerSender.isEnabled()) {
+ LOG.warn("Trigger device is disabled. No triggering to external device.");
+ // triggerSender = null;
+ } else {
+ LOG.info("Trigger device is present and available.");
+ LOG.info("\t{}",triggerSender);
}
this.outputFile = Path.of(sessionParameters.outputFile());
writeSessionMetadata(sessionParameters);
@@ -146,7 +157,7 @@ public void run() {
triggerTracker.waitNext();
leftDevice.start();
rightDevice.start();
-
+ triggerSender.start();
for (int currentBlock = 0; currentBlock < config.getBlocks().size(); currentBlock++) {
Block nextBlock = blocks.get(currentBlock);
@@ -179,11 +190,20 @@ public void run() {
triggerTracker.writeOutput(outputFile);
}
+ if (triggerSender.isEnabled()){ //external triggers sent by this program
+ OutputSection triggersOut = new OutputSection();
+ triggersOut.addEntry("triggersOut", "");
+ triggersOut.write(outputFile);
+ triggerSender.writeOutput(outputFile);
+ }
+
LOG.info("Session '{}' ended successfully", getConfig().getSessionName());
} catch (InterruptedException e) {
LOG.warn("Interrupted session '{}'", config.getSessionName(), e);
} catch (IOException e) {
LOG.error("Problem writing output to {}", outputFile, e);
+ } finally {
+ triggerSender.stop();
}
}
@@ -209,6 +229,6 @@ private boolean isTriggerStarted() {
}
public record SessionParameters(String participantId, String outputFile, List forceDevicesPorts,
- int maximumLeftContraction, int maximumRightContraction) {
+ int maximumLeftContraction, int maximumRightContraction, String usedTriggerPort) {
}
}
diff --git a/src/main/java/com/github/neuralabc/spft/task/Trial.java b/src/main/java/com/github/neuralabc/spft/task/Trial.java
index 8c4f5d7..9b8bb12 100644
--- a/src/main/java/com/github/neuralabc/spft/task/Trial.java
+++ b/src/main/java/com/github/neuralabc/spft/task/Trial.java
@@ -1,5 +1,6 @@
package com.github.neuralabc.spft.task;
+import com.github.neuralabc.spft.hardware.TriggerSender;
import com.github.neuralabc.spft.task.config.SequenceConfig;
import com.github.neuralabc.spft.task.config.TrialConfig;
import com.github.neuralabc.spft.task.output.OutputSection;
@@ -21,13 +22,15 @@
public class Trial {
private static final Logger LOG = LoggerFactory.getLogger(Trial.class);
private final TrialConfig config;
+ private final TriggerSender triggerSender;
private final SequenceConfig sequence;
private final CountDownLatch sync;
private OutputSection leftReferenceOutput;
private OutputSection rightReferenceOutput;
- public Trial(TrialConfig config, Map sequencesPool) {
+ public Trial(TrialConfig config, Map sequencesPool, TriggerSender triggerSender) {
this.config = config;
+ this.triggerSender = triggerSender;
this.sequence = sequencesPool.get(config.getSequenceRef());
if (hasLeftSequence()) {
String sectionName = "leftReference";
@@ -45,17 +48,22 @@ public Trial(TrialConfig config, Map sequencesPool) {
public void run(ExperimentFrame.Binding binding, Path outputFile) throws InterruptedException, IOException {
LOG.info("\t\tStarting trial '{}'", config.getName());
- LOG.info("\t\tFrequency: '{}' Hz", sequence.getFrequency());
- LOG.info("\t\tExpected | Actual Delay: '{} | {}' ms", 1000f/sequence.getFrequency(),Math.round(1000f/sequence.getFrequency()));
+ LOG.info("\t\t\tPresentation frequency: {} ms/value, {} Hz", sequence.getFrequency(), String.format("%.2f",1f/sequence.getFrequency()*1000));
- int delay = Math.round(1000f / sequence.getFrequency());
+ int delay = sequence.getFrequency();
Presentation presentation = new Presentation(binding);
Timer timer = new Timer(delay, presentation);
timer.setInitialDelay(0);
timer.setRepeats(true);
+
+ triggerSender.sendStart(); // trigger to indicate start of trial
+
timer.start();
sync.await();
+
+ triggerSender.sendStop(); // trigger to indicate stop (no different from start trigger)
+
timer.stop();
writeOutput(outputFile);
}
diff --git a/src/main/java/com/github/neuralabc/spft/ui/ControlContent.java b/src/main/java/com/github/neuralabc/spft/ui/ControlContent.java
index b8e51ac..f795a51 100644
--- a/src/main/java/com/github/neuralabc/spft/ui/ControlContent.java
+++ b/src/main/java/com/github/neuralabc/spft/ui/ControlContent.java
@@ -1,6 +1,7 @@
package com.github.neuralabc.spft.ui;
import com.github.neuralabc.spft.hardware.ForceGauge;
+import com.github.neuralabc.spft.hardware.TriggerSender;
import com.github.neuralabc.spft.task.Session;
import com.github.neuralabc.spft.task.config.SessionConfig;
import com.github.neuralabc.spft.task.exceptions.SessionException;
@@ -34,6 +35,7 @@ public class ControlContent {
private static final String LAST_FOLDER = "lastFolder";
private static final String LAST_LEFT_DEVICE = "lastLeftDevice";
private static final String LAST_RIGHT_DEVICE = "lastRightDevice";
+ private static final String LAST_TRIGGER_DEVICE = "lastTriggerDevice";
private final Preferences prefs;
private final ExperimentFrame.Binding experimentFrameBinding;
@@ -47,6 +49,7 @@ public class ControlContent {
private JLabel versionLabel;
private JComboBox leftDevice;
private JComboBox rightDevice;
+ private JComboBox triggerDevice;
private JFormattedTextField maximumLeftContractionValue;
private JFormattedTextField maximumRightContractionValue;
private final JFileChooser fileChooser;
@@ -60,6 +63,7 @@ public ControlContent(ExperimentFrame.Binding binding) {
loadButton.addActionListener(e -> loadClicked());
leftDevice.addActionListener(this::deviceSelectionChanged);
rightDevice.addActionListener(this::deviceSelectionChanged);
+ triggerDevice.addActionListener(this::deviceSelectionChanged);
participantIdValue.addActionListener(e -> participantIdChanged(e.getActionCommand()));
DefaultFormatter defaultFormatter = new DefaultFormatter();
@@ -79,11 +83,13 @@ public ControlContent(ExperimentFrame.Binding binding) {
leftDevice.addItem(ForceGauge.DISABLED);
rightDevice.addItem(ForceGauge.DISABLED);
+ triggerDevice.addItem(TriggerSender.DISABLED); // we do not initialize the triggerDevice
List availableDevices = ForceGauge.getDevices();
availableDevices.forEach(device -> {
leftDevice.addItem(device);
rightDevice.addItem(device);
+ triggerDevice.addItem(device);
});
String lastLeftDevice = prefs.get(LAST_LEFT_DEVICE, ForceGauge.DISABLED);
@@ -94,6 +100,11 @@ public ControlContent(ExperimentFrame.Binding binding) {
if (availableDevices.contains(lastRightDevice)) {
rightDevice.setSelectedItem(lastRightDevice);
}
+ // consider disabling getting the last trigger device, as this has been causing issues
+ String lastTriggerDevice = prefs.get(LAST_TRIGGER_DEVICE, TriggerSender.DISABLED);
+ if (availableDevices.contains(lastTriggerDevice)) {
+ triggerDevice.setSelectedItem(lastTriggerDevice);
+ }
}
private void loadClicked() {
@@ -115,6 +126,7 @@ private void loadClicked() {
rightDevice.setEnabled(true);
maximumRightContractionValue.setEnabled(true);
maximumRightContractionValue.setText("");
+ triggerDevice.setEnabled(true);
prefs.put(LAST_FOLDER, selectedFile.getParent());
experimentFrameBinding.setColours(currentSession.getConfig().getColours());
experimentFrameBinding.setForceRange(currentSession.getConfig().getForceProportionRange());
@@ -131,12 +143,15 @@ private void deviceSelectionChanged(ActionEvent event) {
if (!editable) {
maximumLeftContractionValue.setText("");
}
- } else {
+ } else if (event.getSource() == rightDevice) {
boolean editable = !ForceGauge.DISABLED.equals(rightDevice.getSelectedItem());
maximumRightContractionValue.setEditable(editable);
if (!editable) {
maximumRightContractionValue.setText("");
}
+ // this does nothing, can be removed
+ // } else {
+ // boolean editable = !TriggerSender.DISABLED.equals(triggerDevice.getSelectedItem());
}
}
@@ -175,6 +190,10 @@ private void verifyIfComplete() {
maximumLeftContractionValue.requestFocusInWindow();
} else if (!ForceGauge.DISABLED.equals(rightDevice.getSelectedItem()) && maximumRightContractionValue.getText().isEmpty()) {
maximumRightContractionValue.requestFocusInWindow();
+ // this should not be necessary for the triggerDevice, as it does not have any text associated with it
+ // } else if (!TriggerSender.DISABLED.equals(triggerDevice.getSelectedItem())) {
+ // //TODO: test removing this check to see if it fixes issue with no start button if order wrong
+ // triggerDevice.requestFocusInWindow();
} else {
ready = true;
startButton.requestFocusInWindow();
@@ -188,26 +207,31 @@ private void mvcChanged(String maximumContractionValue) {
private void startClicked() {
try {
- if (leftDevice.getSelectedItem() == null || rightDevice.getSelectedItem() == null) {
+ if (leftDevice.getSelectedItem() == null || rightDevice.getSelectedItem() == null) { //TODO: add check here for trigger?
throw new IllegalStateException("Start should only be allowed when both left and right devices are set");
}
String leftItem = (String) leftDevice.getSelectedItem();
prefs.put(LAST_LEFT_DEVICE, leftItem);
String rightItem = (String) rightDevice.getSelectedItem();
prefs.put(LAST_RIGHT_DEVICE, rightItem);
+ String triggerItem = (String) triggerDevice.getSelectedItem();
+ prefs.put(LAST_TRIGGER_DEVICE, triggerItem);
List usedDevices = List.of(leftItem, rightItem);
+ String usedTrigger = triggerItem;
int maximumLeftContraction = maximumLeftContractionValue.getText().isEmpty() ? -1 : Integer.parseInt(maximumLeftContractionValue.getText());
int maximumRightContraction = maximumRightContractionValue.getText().isEmpty() ? -1 : Integer.parseInt(maximumRightContractionValue.getText());
- Session.SessionParameters sessionParameters = new Session.SessionParameters(participantIdValue.getText(), outputFileValue.getText(), usedDevices, maximumLeftContraction, maximumRightContraction);
+ Session.SessionParameters sessionParameters = new Session.SessionParameters(participantIdValue.getText(), outputFileValue.getText(), usedDevices, maximumLeftContraction, maximumRightContraction, usedTrigger);
currentSession.start(sessionParameters, experimentFrameBinding);
+ // ?? disables buttons while the session is being conducted ??
startButton.setEnabled(false);
participantIdValue.setEnabled(false);
leftDevice.setEnabled(false);
maximumLeftContractionValue.setEnabled(false);
rightDevice.setEnabled(false);
maximumRightContractionValue.setEnabled(false);
+ triggerDevice.setEnabled(false);
} catch (IOException exc) {
JOptionPane.showMessageDialog(panel, exc.toString(), "Error writing output", JOptionPane.ERROR_MESSAGE);
}
@@ -239,7 +263,7 @@ private void setData(SessionConfig data) {
*/
private void $$$setupUI$$$() {
panel = new JPanel();
- panel.setLayout(new GridLayoutManager(10, 2, new Insets(10, 10, 10, 10), -1, -1));
+ panel.setLayout(new GridLayoutManager(12, 2, new Insets(10, 10, 10, 10), -1, -1));
final JLabel label1 = new JLabel();
label1.setText("Configuration");
panel.add(label1, new GridConstraints(2, 0, 1, 1, GridConstraints.ANCHOR_WEST, GridConstraints.FILL_NONE, GridConstraints.SIZEPOLICY_FIXED, GridConstraints.SIZEPOLICY_FIXED, null, null, null, 0, false));
@@ -308,7 +332,13 @@ private void setData(SessionConfig data) {
panel.add(label8, new GridConstraints(8, 0, 1, 1, GridConstraints.ANCHOR_WEST, GridConstraints.FILL_NONE, GridConstraints.SIZEPOLICY_FIXED, GridConstraints.SIZEPOLICY_FIXED, null, null, null, 0, false));
rightDevice = new JComboBox();
panel.add(rightDevice, new GridConstraints(8, 1, 1, 1, GridConstraints.ANCHOR_WEST, GridConstraints.FILL_HORIZONTAL, GridConstraints.SIZEPOLICY_CAN_GROW, GridConstraints.SIZEPOLICY_FIXED, null, null, null, 0, false));
+ final JLabel label9 = new JLabel();
+ label9.setText("Trigger device");
+ panel.add(label9, new GridConstraints(10, 0, 1, 1, GridConstraints.ANCHOR_WEST, GridConstraints.FILL_NONE, GridConstraints.SIZEPOLICY_FIXED, GridConstraints.SIZEPOLICY_FIXED, null, null, null, 0, false));
+ triggerDevice = new JComboBox();
+ panel.add(triggerDevice, new GridConstraints(10, 1, 1, 1, GridConstraints.ANCHOR_WEST, GridConstraints.FILL_HORIZONTAL, GridConstraints.SIZEPOLICY_CAN_GROW, GridConstraints.SIZEPOLICY_FIXED, null, null, null, 0, false));
}
+
/**
* @noinspection ALL
diff --git a/src/test/configs/sample1.yml b/src/test/configs/sample1.yml
index 99e8021..d576a78 100644
--- a/src/test/configs/sample1.yml
+++ b/src/test/configs/sample1.yml
@@ -34,9 +34,9 @@ blocks:
sequences:
pulseLeftOnly:
- frequency: 5
+ frequency: 12
valuesLeft: [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0, 0, 0, 0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ]
pulseBoth:
- frequency: 5
+ frequency: 12
valuesLeft: [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0, 0, 0, 0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ]
valuesRight: [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0, 0, 0, 0, 0, 0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ]