{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
""
]
},
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"cell_type": "markdown",
"metadata": {},
"source": [
"# Across-Trials Testing with [GLHMM toolbox](https://github.com/vidaurre/glhmm)\n",
"\n",
"In this tutorial, we’ll explore how to perform across-trials testing using the [GLHMM toolbox](https://github.com/vidaurre/glhmm), based on the paper [The Gaussian-Linear Hidden Markov Model: a Python Package](https://direct.mit.edu/imag/article/doi/10.1162/imag_a_00460/127499/The-Gaussian-Linear-Hidden-Markov-model-a-Python). This test is designed to study differences between trials within one or more experimental sessions. It’s useful for analysing how brain dynamics vary across different stimuli or task conditions.\n",
"\n",
"To focus on the statistical testing, we use **synthetic data** generated using the [Genephys toolbox](https://github.com/vidaurre/genephys) by [Vidaurre (2023)](https://elifesciences.org/reviewed-preprints/87729). Genephys simulates EEG or MEG data in psychometric experiments, where a subject is repeatedly exposed to stimuli, \n",
"\n",
"For this tutorial:\n",
"\n",
"- $D$: Gamma values — the decoded state probabilities from an HMM. These were computed from synthetic EEG/MEG-like data across 1421 trials (250 timepoints per trial), grouped into 10 sessions.\n",
"- $R$: categorical labels representing the stimulus shown on each trial (e.g., animate vs inanimate objects).\n",
"\n",
"> **Note:** Due to rendering issues when viewing this notebook through github, internal links, like the table of contents, may not work correctly. To ensure that the notebook renders correctly, you can view it through [this link](https://nbviewer.org/github/vidaurre/glhmm/blob/main/docs/notebooks/Testing_across_sessions_within_subject.ipynb).\n",
"\n",
"Authors: Nick Yao Larsen \n",
"\n",
"## Table of Contents\n",
"1. [Preparation](#preparation)\n",
"2. [Load data](#load-data)\n",
" * [Data restructuring](#data-recon)\n",
"3. [Across-trials testing](#across_trials)\n",
" * [Across-trials testing - Multivariate](#perm-regression)\n",
" * [Across-trials testing - Univariate](#perm-correlation)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# **1. Preparation** \n",
"\n",
"If you don't have the **GLHMM package** installed, this notebook will help you install it automatically.\n",
"\n",
"We will also download example data from the Open Science Framework (OSF).\n",
"\n",
"---\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Install packages if needed\n",
"try:\n",
" import google.colab\n",
" IN_COLAB = True\n",
"except ImportError:\n",
" IN_COLAB = False\n",
"\n",
"if IN_COLAB:\n",
" print(\"Running in Google Colab. Installing GLHMM...\")\n",
" !pip install git+https://github.com/vidaurre/glhmm\n",
"\n",
"# Install osfclient if missing\n",
"try:\n",
" import osfclient\n",
"except ImportError:\n",
" print(\"Installing osfclient...\")\n",
" !pip install osfclient\n",
"\n",
"# Now import everything we need\n",
"import numpy as np\n",
"from pathlib import Path\n",
"from glhmm import graphics, statistics\n",
"np.random.seed(0) # For reproducibility\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# **2. Load data** \n",
"To get started, we’ll download the synthetic data needed use it to run the across-sessions test.\n",
"If they already exist, we will skip downloading.\n",
"\n",
"We’ll use the `osfclient` package to fetch the files directly from the Open Science Framework (OSF). If you prefer, you can also download them manually from the [OSF project page](https://osf.io/8qcyj/?view_only=119c38072a724e0091db5ba377935666)."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Data directory c:\\Users\\au323479\\Github\\glhmm_28_04\\docs\\notebooks\\files\\data_statistical_testing already exists.\n",
"✓ Gamma_trials.npy already exists — skipping.\n",
"✓ R_trials.npy already exists — skipping.\n",
"✓ idx_trials_session.npy already exists — skipping.\n"
]
}
],
"source": [
"# Set up data directory\n",
"data_dir = Path.cwd() / \"files\" / \"data_statistical_testing\"\n",
"\n",
"if not data_dir.exists():\n",
" print(f\"Creating {data_dir}...\")\n",
" data_dir.mkdir(parents=True, exist_ok=True)\n",
"else:\n",
" print(f\"Data directory {data_dir} already exists.\")\n",
"\n",
"# Files to download\n",
"files = [\n",
" \"Gamma_trials.npy\",\n",
" \"R_trials.npy\",\n",
" \"idx_trials_session.npy\",\n",
"]\n",
"\n",
"# Download the files from OSF if they don't exist locally\n",
"for fname in files:\n",
" local_path = data_dir / fname\n",
" remote_path = f\"data_statistical_testing/{fname}\"\n",
"\n",
" if local_path.exists():\n",
" print(f\"✓ {fname} already exists — skipping.\")\n",
" else:\n",
" print(f\"Downloading {fname}...\")\n",
" # as_posix() ensures forward slashes on Windows for shell compatibility\n",
" !osf -p 8qcyj fetch {remote_path} {local_path.as_posix()}\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Load and check the data**\n",
"The folder `data_statistical_testing` contains:\n",
"\n",
"- **`Gamma_trials`**: decoded HMM state probabilities (Gamma values) \n",
" Shape **(n_timepoints × n_trials, n_states)** : **355,250 × 6** — where 355,250 = 250 timepoints × 1421 subjects \n",
" Each row is a timepoint; each column corresponds to one of 6 HMM states\n",
"\n",
"- **`R_trials`**: stimulus condition label for each trial (0 or 1)\n",
" Shape **(n_trials,)**: 1D array with one value for each of 1421 trials\n",
"\n",
"- **`idx_trials_session`**: session boundaries \n",
" Shape **(n_sessions, 2)**: 2D array with 10 rows — each row defines the start and end index for a session\n",
"\n",
"> **Note**: For details on training from scratch, follow the tutorials [*Standard Gaussian Hidden Markov Model*](./GLHMM_example.ipynb) or [*Gaussian-Linear Hidden Markov Model*](./GLHMM_example.ipynb). In this notebook, we use precomputed Gamma values to focus on the across-sessions statistical test.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let’s load the files into memory:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# Define the data folder path\n",
"PATH_PARENT = Path.cwd()\n",
"PATH_DATA = PATH_PARENT / \"files\" / \"data_statistical_testing\"\n",
"\n",
"# Load brain and behavioral data\n",
"Gamma = np.load(PATH_DATA / \"Gamma_trials.npy\")\n",
"R_trials = np.load(PATH_DATA / \"R_trials.npy\")\n",
"idx_trials_session = np.load(PATH_DATA / \"idx_trials_session.npy\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Check data dimensions"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Gamma shape: (355250, 6)\n",
"R_trials shape: (1421,)\n",
"idx_trials_session shape: (10, 2)\n"
]
}
],
"source": [
"# Check data dimensions\n",
"print(\"Gamma shape:\", Gamma.shape)\n",
"print(\"R_trials shape:\", R_trials.shape)\n",
"print(\"idx_trials_session shape:\", idx_trials_session.shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### **Data restructuring** \n",
"Now that we have our decoded Gamma values, we need to reshape the data back into a trial-wise format. This step is essential because we will run statistical tests at each time point, rather than using HMM-aggregated features like fractional occupancy.\n",
"\n",
"To do this, we’ll use the function `reconstruct_concatenated_to_3D`. It converts a concatenated 2D array into a structured 3D array — restoring the original format of `(timepoints × trials × features)`.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Convert Gamma to trial-wise format**"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Gamma_epoch shape: (250, 1421, 6)\n"
]
}
],
"source": [
"# Define the dimensions\n",
"n_timepoints = 250\n",
"n_trials = len(R_trials)\n",
"n_features = Gamma.shape[1]\n",
"\n",
"# Reshape Gamma into a 3D array: timepoints × trials × features\n",
"Gamma_epoch = statistics.reconstruct_concatenated_to_3D(\n",
" Gamma,\n",
" n_timepoints=n_timepoints,\n",
" n_entities=n_trials,\n",
" n_features=n_features\n",
")\n",
"\n",
"# Check the new shape\n",
"print(\"Gamma_epoch shape:\", Gamma_epoch.shape) # Expected: (250, 1500, 6)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Sanity check: does the reshaping work?**\n",
"\n",
"To confirm the data was reshaped correctly, let’s compare a slice of the new 3D matrix with the original 2D version.\n",
"\n",
"We’ll compare:\n",
"\n",
"`Gamma_epoch[:, 0, :]`: all timepoints from the first trial in the reshaped 3D matrix\n",
"\n",
"`Gamma_sessions[0:250, :]`: the first 250 timepoints in the original 2D matrix"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.array_equal(Gamma_epoch[:, 0, :], Gamma[0:250, :])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If this returns True, the reshaping was successful — every timepoint from the first trial is correctly aligned in the new format.\n",
"\n"
]
},
{
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"
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"# **3. Across-trials testing** \n",
"\n",
"Now that our data is organized into trials and sessions, we're ready to test whether changes in brain activity (`Gamma`) are related to behavioral variation across trials using the `test_across_trials` function.\n",
"\n",
"Before we dive into the test, let’s quickly explain what’s going on.\n",
"\n",
"\n",
"In this type of test, we want to find out if the brain behaves differently depending on the type of stimulus presented — and whether these differences are consistent across trials within a session. For example, does the brain respond differently when the subject sees an animate object versus an inanimate object?\n",
"\n",
"\n",
"To answer that, we use **permutation testing**. This involves shuffling the trial labels within each session and recomputing the statistical test for each shuffled version of the data. By repeating this process many times, we build a null distribution of results. If the result from the original (unshuffled) data stands out from this distribution, it suggests that the brain activity is systematically influenced by the type of stimulus.\n",
"\n",
"\n",
"\n",
"\n",
" **Figure 5C** in [Vidaurre et al. 2023](https://arxiv.org/abs/2312.07151#:~:text=GLHMM%20is%20implemented%20as%20a,sets%20at%20reasonable%20computational%20time): A 9 x 4 matrix representing permutation testing across sessions. Each number corresponds to a trial within a session and permutations are performed between sessions, with each session containing the same number of trials.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **Across-trials testing - Multivariate**\n",
"\n",
"We’ll begin by running a **multivariate test**. This analysis checks whether patterns of brain state activity can explain differences in stimulus condition (e.g., animate vs inanimate) across trials.\n",
"\n",
"If brain responses do not vary meaningfully with trial type, we expect little to no systematic pattern. However, if specific states consistently differ between stimulus categories, this analysis can reveal those relationships.\n",
"\n",
"#### Inputs:\n",
"- `D_data`: the Gamma matrix reshaped into trials (`Gamma_epoch`)\n",
"- `R_data`: stimulus labels for each trial (`R_trials`, values 0 or 1)\n",
"- `indices_blocks`: trial indices for each session (`idx_trials_session`)\n",
"\n",
"#### Settings:\n",
"- `method = \"multivariate\"`: perform multivariate regression\n",
"- `Nnull_samples = 10_000`: number of permutations to build the null distribution\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"performing permutation testing per timepoint\n",
"Total possible permutations: 1.29e+2459\n",
"Running number of permutations: 10000\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 250/250 [17:58<00:00, 4.31s/it]\n"
]
}
],
"source": [
"# Set the parameters for across trials testing\n",
"method = \"multivariate\"\n",
"Nnull_samples = 10_000 # Number of permutations (default = 0)\n",
"\n",
"# Perform across-subject testing\n",
"result_multivariate_session =statistics.test_across_trials(D_data=Gamma_epoch, \n",
" R_data=R_trials, \n",
" indices_blocks=idx_trials_session,\n",
" method=method,\n",
" Nnull_samples=Nnull_samples)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Understanding the output**\n",
"\n",
"The result is stored in a dictionary called `result_multivariate`. Here's what it contains:\n",
"\n",
"* ```pval```: array of p-values with shape (1, q). Each value corresponds to a behavioral variable. See the [GLHMM paper](https://direct.mit.edu/imag/article/doi/10.1162/imag_a_00460/127499/The-Gaussian-Linear-Hidden-Markov-model-a-Python) for details.\n",
"\n",
"* ```base_statistics```: test statistics for the unpermuted data. For multivariate tests, this is the F-statistic\n",
"\n",
"* ```null_stat_distribution```: array of test statistics computed from each permutation\n",
"\n",
"* ```statistical_measures```: dictionary showing which statistic was used (e.g. F-stat)\n",
"\n",
"* ```test_type```: Indicates the type of permutation test performed. In this case, it is ```across_trials```.\n",
"\n",
"* ```method```: test method used, here it is `\"multivariate\"`\n",
"\n",
"* ```max_correction```: whether MaxT correction was applied during permutation\n",
"\n",
"* ```Nnull_samples```: number of permutations used to generate the null\n",
"\n",
"* ```test_summary```: structured summary of results including F-test and model coefficients\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Display the test summary**\n",
"\n",
"We can print a clean summary of the result using the helper function below."
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Model Summary (timepoint 0):\n",
" Outcome F-stat df1 df2 p-value (F-stat)\n",
"Regressor 1 0.3603 6 1415 0.8279\n",
"\n",
"Coefficients Table (timepoint 0):\n",
"Predictor Outcome T-stat p-value LLCI ULCI\n",
" State 1 Regressor 1 0.378125 0.7050 -1.922703 1.873748\n",
" State 2 Regressor 1 -0.571448 0.5629 -1.854683 2.012392\n",
" State 3 Regressor 1 0.380939 0.7068 -1.862957 2.085601\n",
" State 4 Regressor 1 0.734707 0.4692 -2.148568 1.750658\n",
" State 5 Regressor 1 0.083531 0.9339 -1.798056 2.101710\n",
" State 6 Regressor 1 -1.100686 0.2724 -1.998593 1.932921\n"
]
}
],
"source": [
"statistics.display_test_summary(result_multivariate_session)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualising the results\n",
"We can now plot the p-values over time using the `plot_p_values_over_time` function from the `graphics` module.\n",
"\n",
"> Lower p-values (below α = 0.05) are shown in warm colours, while higher p-values are shown in cool colours.\n"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"graphics.plot_p_values_over_time(\n",
" result_multivariate_session[\"pval\"],\n",
" title_text=\"Multivariate - Uncorrected\",\n",
" xlabel=\"Time points\",\n",
" num_x_ticks=11\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Multiple testing correction\n",
"To reduce the chance of false positives, we apply **Benjamini-Hochberg correction** to control the false discovery rate:\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Visualisation of results**\\\n",
"Now that we have performed our test, we can then visualise the p-value array.\\\n",
"We will use the function ```plot_heatmap``` from the ```graphics``` module.\n",
"\n",
"Note: Elements marked in red indicate a p-value below 0.05, signifying statistical significance."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Multiple Comparison**\\\n",
"To take into account for type 1 error, we can apply the Benjamini/Hochberg correction."
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pval_corrected, rejected_corrected =statistics.pval_correction(result_multivariate_session, \n",
" method='fdr_bh')\n",
"# Plot p-values\n",
"graphics.plot_p_values_over_time(pval_corrected, \n",
" title_text =\"Multivariate - Benjamini/Hochberg\", \n",
" xlabel=\"HMM States\", \n",
" num_x_ticks=11)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Cluster-based correction\n",
"To control for family-wise error rate more strictly, we can apply **cluster-based permutation testing**. This is useful when you expect effects to be temporally contiguous.\n",
"\n",
"Make sure `test_statistics_option=True` was set earlier, as this is required to access the full permutation distribution:"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pval_cluster = statistics.pval_cluster_based_correction(result_multivariate_session)\n",
"\n",
"graphics.plot_p_values_over_time(\n",
" pval_cluster,\n",
" title_text=\"Multivariate - Cluster correction\",\n",
" xlabel=\"Time points\",\n",
" num_x_ticks=11\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualise average probabilities and differences\n",
"To help interpret the statistical results from result_multivariate_trials[\"pval\"], we can compare the average state time courses between the two conditions.\n",
"This can be done using the function `plot_condition_difference`, which shows the average probability of each state over time for each condition (0 or 1), along with their difference. We can then highlight time points where the difference is statistically significant based on our multiple testing correction.\n"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Detect the intervals of when there is a significant difference, will be highlighed\n",
"alpha = 0.05\n",
"intervals =statistics.detect_significant_intervals(pval_cluster, alpha)\n",
"# Plot the average probability for each state over time for two conditions and their difference.\n",
"graphics.plot_condition_difference(Gamma_epoch, \n",
" R_trials, \n",
" figsize=(12,3),\n",
" vertical_lines=intervals, \n",
" highlight_boxes=True, \n",
" title=\"Average Probability and Differences (Cluster corrected)\",)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **Across-trials testing - Univariate**\n",
"Now let's run the **univariate test**, which looks at each brain state individually. This helps us identify whether a specific state shows a relationship with the stimulus condition (e.g., animate vs inanimate).\n",
"\n",
"This test runs separately for each state and each timepoint, giving a more detailed view of where and when differences occur.\n",
"\n",
"#### Inputs:\n",
"- `D_data`: the Gamma matrix reshaped into trials (`Gamma_epoch`)\n",
"- `R_data`: stimulus labels (`R_trials`)\n",
"- `indices_blocks`: session boundaries (`idx_trials_session`)\n",
"\n",
"#### Settings:\n",
"- `method = \"univariate\"`: run one test per state\n",
"- `Nnull_samples = 10_000`: number of permutations\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"performing permutation testing per timepoint\n",
"Total possible permutations: 1.29e+2459\n",
"Running number of permutations: 10000\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 250/250 [09:02<00:00, 2.17s/it]\n"
]
}
],
"source": [
"# Set the parameters for between-subject testing\n",
"method = \"univariate\"\n",
"Nnull_samples = 10_000 # Number of permutations (default = 1000)\n",
"# Perform across-subject testing\n",
"result_univariate =statistics.test_across_trials(D_data=Gamma_epoch, \n",
" R_data=R_trials, \n",
" indices_blocks=idx_trials_session,\n",
" method=method,\n",
" Nnull_samples=Nnull_samples)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualising univariate results\n",
"We can now plot the p-values as a matrix where each row is a state and each column is a timepoint.\\\n",
"This is done by using the `plot_p_value_matrix` function from the `graphics` module.\n",
"> Lower p-values (below α = 0.05) are shown in warm colours, while higher p-values are shown in cool colours."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot p-values\n",
"# P-values between reaction time and each state as function of time\n",
"graphics.plot_p_value_matrix(result_univariate[\"pval\"].T, \n",
" title_text =\"Univariate - Uncorrected\",\n",
" figsize=(8, 5), \n",
" xlabel=\"Time points\", \n",
" ylabel=\"HMM States\", \n",
" annot=False, \n",
" num_x_ticks=11)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Multiple Comparison**\\\n",
"To be sure there is no type 1 error, we can apply the Benjamini/Hochberg to control the False Discovery Rate"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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vWnQQvarceEZjfVoVShtB63u0nYj2bGTtgwYWGmx8+umnZiA+/QVVt6VVNvRXZL0ZvOWWW6I2EnN5tJqW/ZdqLZXQm0/tEUr3V3vOsXMjzdqgXAet0wHStCqP9oakg75pUKvbjdfAQttX6IB/0W5ErIG4VlfT86o3zhoA6jkdPHiwjBo1yl8CZNHRs7U3Ju11S3td004L9AcE7dVNb8ijUU1LO2HQbet1oIGKrluDU6fBFP/yl7+YgFVfnzVrlumgQBvr63s0CL722msrvF0tmdFAV69BDZI0uNCevPR/a6C98hqjA0hcSdrnrNuJAABERm+EzznnHPnrX/9apWps8UKr82ggpp0S3HPPPW4nJyFpqY4GHVotK7T7XACJjXJMAPAAre5iHwvCq7S0QkWzfQWcbd68OWyedmH91VdfmYbzBBUAQlFiAQBxbMGCBTJt2jRTBU0H7NOG49XZtgSJQ6tRaZVNLSHS6ok6OKBWp9OOJzS4qO7qhgDiDyUWABDHtAcubcOjo2XPmDGDoAJRo+1+tHcrbROk7Ue08bYOsKnBLEEFACeUWAAAAAAxYO7cufLEE0+YcWS0OqJ2YX7xxRdLvKDEAgAAAIgBeXl50q1bN8nJyZF4RHezAAAAQAw455xzzBSvCCwAAADgSdqphY4j5Safz2cGTg0d20gnr4n7wKL/7/8dlfXUqRsYIfdgkpKDM0YoX0lpk5WCgmL/vKLC4vD12DJYalqKeUxLS3bcjrVOe2sYq2mMfT3Wv4WFJf55hQVF/v9ListvTmNvapOSmhyWNisNZj1l/5cUB7Zjvd1+3WTUTvP/n5Ze/nqSbftaVBS+TvtxSU4Jr71nHd+C/MBxTs8o3Z59/RU9d3YVfY+1L+rA/kL//8Vl+2M/T+m1Si+70A+ZUKm282Atak9P/oHSc1tQ9mhfTqWklh6DjLLtmfQ6NKmyn+/AegIrymxY2zwW2vJxYX5R2Dw761xY+1/edeDEvg9Wcp3yZ4otL9iPi9NxTUk5+LG21mnPA/a8GHpO7NtrfHigy82ksiQV2a7BWmXHv8h2vezfF8gj+/bml5sue3rs17XTflU0nzuxHzPruBYVBc6XdR6Ly/kMccpXTp83JSUlYa87vdeenuSyfbSP8mzNsy/rdDklO1wv9v051L44XRtO6bS/x5pn37b9c8u6Dg71+WmdR6fPJft77MfC6dg7H6uk8Lxv2wdrm/a8ZL9+nT7XnLZnfX+Y/w9yLO35yvrOKu/7yml/09JTw64H+2ey9b/TZ5A9LxzqM9nadnpGath+2a9P//Viu4bsx9I6LsHXncN5tF//ZfcU9vNkXRNOx8S+r/Y85P9eLftODk2bf9u2429dt07Hyr5t6zyUx0r7oT4bIvHl+78LCyoyG7aQwvwd4qZ69erJ3r17g+bpwJc6cKXXxH1gAQAAAITSkgoNKnqd8ZakpNZ1JQ3FRXmycNYVsn79+qDR6r1YWqEILAAAAOBZqWn1JDXNncAiqax0R4MKe2DhVQQWAAAA8Cy9tz9ETbdq3XYiIbAAAAAAYsDevXtl9erV/udr1641o943btxYWrVqJbGOwAIAAACepQ3Uq9KxRbS2XRkLFy6U0047zf98xIgR5jE7O1smT54ssY7AAgAAAKhGWVlZkpKSIkOHDjVTeU499VTH3vLiBYEFAAAAPEsbUB+qO+Hq3LbKzc2l8TYAAAAQz2IhsEgUBx/9BwAAAAAqgBILAAAAeBbdzdYcAgsAAAB4Vjz1ChXvqAoFAAAAIGIEFgAAAPB84223Jqu72c6dO0tOTo54GVWhAAAA4Fmx0MYiN0G6m6XEAgAAAEDEKLEAAACAZyUnJ5nJrW0nEgILAAAAeBYD5NUcqkIBAAAAiBglFgAAAPCsWGi8nSgosQAAAAAQMQILAAAAeFdSYPTtmp6krMSCcSwAAACAOBcLjbdzGccCAAAAACqGEgsAAAB4ViyUWCQKAgsAAAB4FgPk1RyqQgEAAACIGCUWAAAA8CzGsUjQEou5c+fKBRdcIEceeaSpk/bBBx+4nSQAAAB4oI2FW1MiianAIi8vT7p16+b5Pn4BAAAAr4mpqlDnnHOOmQAAAIBo8A9W59K2rQHyUlJSZOjQoWbyqpgKLAAAAACvyU2QAfIILAAAAOBZNN6uOXEVWOTn55vJrqS4QJJT0l1LEwAAAGIXA+QlaOPtQxkzZow0aNAgaFq38nW3kwUAAAAkvLgKLEaOHCm7du0Kmlp1GOR2sgAAABDjjbfdmhJJTFWF2rt3r6xevdr/fO3atbJkyRJp3LixtGrVSjIyMsxkRzUoAAAAlIc2FgkaWCxcuFBOO+00//MRI0aYx+zsbJk8ebKLKQMAAAAQN4HFqaeeKj6fz+1kAAAAwCNovJ2ggQUAAAAQTclJSWZya9uJJK4abwMAAADxJisrSzp37iw5OTniZZRYAAAAwNtVoZLdrQqVy8jbAAAAQHyjV6iaQ1UoAAAAABGjxAIAAACeRa9QNYcSCwAAAAARo8QCAAAAnkWJRc0hsAAAAIB3JYskuVVHJ1kSSoLtLgAAAIDqQIkFAAAAPIuRt2sOgQUAAAA8izYWNYeqUAAAAAAiRokFAAAAPIuRt2sOJRYAAADwrKTkJFcnlZWVJZ07d5acnBzxMkosAAAAgGqUm5srmZmZ4nUEFgAAAPAsGm/XHAILAAAAeBaBRc2hjQUAAACAiFFiAQAAAM9KSi5twO3WthNJgu0uAAAAgOpAiQUAAAA8i3Esag6BBQAAADyLxts1h6pQAAAAACJGiQUAAAA8KzkpSZJdarydnGAlFgQWAAAA8CzaWNQcqkIBAAAAMSInJ0fatGkjtWrVkj59+siCBQvKXfa9996TXr16ScOGDaVu3brSvXt3ee2118QtBBYAAADwfONtt6bKmDZtmowYMUJGjRolixcvlm7dusnAgQNl69atjss3btxY/u///k++/vpr+e6772Tw4MFmmjFjhrghyefz+SSOnXbpV1FZT1Fhcdi8lNRA3JWWnhL0qBo0qmMea9dJ888rLFtPUWFJ2DzlVMfvwL7C0uUKivzzSkoCp6Ugv7jcNCanBNZXUuw76OupaaVpz6gVqAF37PHNzeMjJ7/tn1f3tv8nVXZa4N/Zv1/q///Fd0vTtvPXPP+8A/uLwvY7o3bgWDY6vK557HFia/+8y46eax47/HBRYEOlh0+Keoz2z0pd/YD//5VtPzSPi4sCifvm2z3m8bdf9/nn/bJxV2CVZce6sCBwzK3/ixzOZ3kD71gfKPa8lF6Wh+zn2J4vrHXZP4ycLtPiotI8VlT2qAoOBI6lUx6w1mnlBZM22+sHU2zLX9Y5s9IQml6nbfvnJQeOhf0t1n475XN73rbeYz/m9m1bxzrVdsytc2c/jCUlgbSnpZdeE+kZgePixH/8bOu2s1/rodJsx7x+g9r+/4uLS9ORkmI7LmX/2j9HUtNKZ+7+bb9/3oH9ZZlfRPbtLQi7hqz9OapNY/+89p2a+v/funl36Tp3Bta5Y3vpNZq3+8BB86Rdk2b1zWOn7i38835cXvoluOGnHY752GfL/6Gsz4bSY1D+MT3UZ11577Vet59HK3+XlJ2P8q5re1608lrQZ3fZ6055P/T9oetxOj7lfUMf6jpw+mwJbEcOql79DPPY6LDS7zhVaMuLBw6U5rt9e/PD3ms/r/m2zyNrm0H7WPa//T3W/tg/o+zfWampZee2KHBurffbP1OdPrvr1Et3+JwIv+YL8gPpztuTH5Ze++e5U15y+l6wvsft+dJ+LJzyhRP7cbHymNN9hf0c27djbdvpMzXFdiyszxv7+u3fNYH3hm/b/r3gtB4n9uMTidnvnhT0fPfu3dKgQQMZcv93kl6r9HOqphUc2CMvPdJVdu3aJZmZmYdcXksosrKyZPz48f7vqpYtW8qf/vQn+fOf/1yhbfbo0UPOO+88GT06cF9UUyixAAAAAFxWUFAgixYtkgEDBgT9GKfPtUTiUDSInDVrlqxYsUJOOeUUcQONtwEAAOBZsdB4e/fu0hJiS0ZGhpnstm/fLsXFxdK0aaBkWenz5cuXl7sNLQ1p0aKF5OfnS0pKijz33HNy5plnihsosQAAAACqUcuWLU21LGsaM2ZM1NZdv359WbJkieTm5sqjjz5q2mjMmTNH3ECJBQAAADwrFkbeXr9+fVAbi9DSCnX44YebEodffvklaL4+b9asWbnb0OpS7du3N/9rr1D/+9//TOBy6qmnSk2jxAIAAACepQ3pk12aksoarWtQYZ+cAov09HTp2bOnaSdh0cbb+rxv374V3l99j1aLcgMlFgAAAEAMGDFihGRnZ5uxKXr37i3jxo2TvLw804Wsuv766017CqsqlT7qsu3atTPBxPTp0804FhMmTHAl/QQWAAAA8KxYqApVUVdeeaVs27ZNHnzwQdmyZYup2vTZZ5/5G3SvW7cuqNt2DTpuu+022bBhg9SuXVs6duwor7/+ulmPGwgsAAAA4Fmx0CtUZQwbNsxMTkIbZT/yyCNmihW0sQAAAAAQMUosAAAA4FnagNo+EnpNbzuREFgAAADAs+KpjUW8oyoUAAAAgIhRYgEAAADPirfG2/GMwAIAAACeZQ1W59a2EwlVoQAAAABEjBILAAAAeBd1oWoMJRYAAAAAIkaJBQAAADwrSVzsblYSq8SCwAIAAACeRU2omkNVKAAAAAARo8QCAAAAnkV3szWHwAIAAACepe0rXGtjkZRYgQVVoQAAAABEjBILAAAAeBaNt2sOgQUAAAA8i6pQNYeqUAAAAEA1ysrKks6dO0tOTo54WUyVWIwZM0bee+89Wb58udSuXVv69esnY8eOlWOPPdbtpAEAACAOJSUnmcmtbavc3FzJzMwUr4upEosvv/xShg4dKvPnz5eZM2dKYWGhnHXWWZKXl+d20gAAAADES4nFZ599FvR88uTJ0qRJE1m0aJGccsoprqULAAAA8YnG2wkaWITatWuXeWzcuLHbSQEAAEAc0gbUyTTeTryqUHYlJSVyxx13yEknnSTHH3+828kBAAAAEI8lFtrWYunSpfKf//zHPy8/P99MdiXFBZKcku5CCgEAABAfVaHcKrGQhBKTJRbDhg2TTz75RGbPni1HHXVUUK9RDRo0CJp+XvGaq2kFAABA7PcK5daUSGIqsPD5fCaoeP/99+WLL76Qtm3bBr0+cuRI0+7CPrU+9jrX0gsAAAAgBqtCafWnKVOmyIcffij169eXLVu2mPlaMqHjWmRkZJjJjmpQAAAAKA+9QiVoYDFhwgTzeOqppwbNnzRpktxwww0upQoAAADxSttXuNfGIkkSSWqsVYUCAAAAEH9iKrAAAAAAookSi5pDYAEAAADP0sHxkl3qnSk5wQKLmOoVCgAAAEB8osQCAAAAnkWvUDWHEgsAAAAAEaPEAgAAAN5FkUWNIbAAAACAZ2nDbdcabycnVmBBVSgAAAAAEaPEAgAAAJ5FTaiaQ2ABAAAAz2KAvJpDVSgAAAAAEaPEAgAAAJ6VlJxkJre2nUgILAAAAOBZVIWqOVSFAgAAABAxSiwAAADgWfQKVXMILAAAAOBZ2s7BrYHqkhKsjQVVoQAAAABEjBILAAAAeBaNt2sOJRYAAAAAIkaJBQAAADyLxts1h8ACAAAAnsUAeTWHqlAAAAAAIkaJBQAAADyLxts1h8ACAAAAnkUbi5pDVSgAAAAgRuTk5EibNm2kVq1a0qdPH1mwYEG5yy5btkwuvfRSs7yWjowbN07cRGABAAAAz0pOKh1525UpqXJFFtOmTZMRI0bIqFGjZPHixdKtWzcZOHCgbN261XH5ffv2ydFHHy2PPfaYNGvWTNxGYAEAAADPt7Fwa6qMp556SoYMGSKDBw+Wzp07y/PPPy916tSRiRMnOi6flZUlTzzxhFx11VWSkZEhbiOwAAAAAKrR7t27g6b8/PywZQoKCmTRokUyYMAA/7zk5GTz/Ouvv5Z4EPeNt0tKSqKynnqZpVGezxeY57M9KS4u/X/PzgP+efvzCs1jrdqpB+2vuKTsvaHrtKSklsZ3ySmBOC85JfB6Rq20sjQE9rXE9r9/XokvKK2h2ysqLDaP+ftL061y/73GPA78d8/APrT6Muz99ojbmpeWnhq2D0mbbfv1wl7b/iSFHZ/addOCHlWdeoFou3790v9XLdvinzdmWQfzmF5rtX9ewYHS/fl1UV5gX4vOCjs+vpIfbK+XHj/76bD/qKDFl6GsfSwue699f+zHx1oudL6lsLD0/SllxyT03Dvmv7JtHrCdO2vd9ryQmhbIOOkZKWHpSU0tnVdUVHzQNDqnI7Cd4uSy850WeK9THrHvQ0rZPtrT43ScM2qFfyyl2farS6+W5vH4TrUD6fEF8tDyFbvN49qV2/3zdmzfG3buiosD6bDSuW9vQdg8/VAPy8flHDOn68X/Wtn1aU+PnePxs72noKA46DoO3R+L/fq2/l/xfeDCXLXsF9s2y9bj8Hli3++DLafy9pR+Qa7/6bew91jn3b5f9v21HyrrerJ/JuQfKJ1XmF9kW4/tPUnhx8/6zLVfD06szwG74OslOeizVSWnh5/bdIdfCSt+XUWmIL+4wuu08ovT95Q9r+0tO5/5ZZ+toe+xlrUfP+sYFRwInCenc2vPV9axTk8PnCdrnUVln5P2/GW2Y/t+C70u7d9JabZ1Wv/bz2Nx2XGzvsft7NdY0GeYLW9YrP0tsn2eB/J2+DVtX7/9devf8r6TrONXbPvsLiqs2GeQdXzsxz/FdmlY3z9paYH9CzpWZcfcflys9djvVazrpagw8N7CAvt7HPKdL7r3crHcK1TLlqXfXRat6vTQQw8Fzdu+fbsUFxdL06ZNg+br8+XLl0s8iPvAAgAAAIhl69evl8zMTP/zWKi2VB0ILAAAAOBZsTDydmZmZlBg4eTwww+XlJQU+eWXQMmy0uex0DC7ImhjAQAAAM+PY+HWVFHp6enSs2dPmTVrln+eVhPT53379pV4QIkFAAAAEANGjBgh2dnZ0qtXL+ndu7cZlyIvL8/0EqWuv/56adGihYwZM8bf4PuHH37w/79x40ZZsmSJ1KtXT9q3b1/j6SewAAAAgGfFQuPtirryyitl27Zt8uCDD8qWLVuke/fu8tlnn/kbdK9bty6oE4RNmzbJCSec4H/+t7/9zUz9+/eXOXPmSE0jsAAAAIBnpckBSZd0V7ZdJIHeRCtq2LBhZnISGizoiNvR6mUuGmhjAQAAAFSjrKwsM+BdTk6OeBklFgAAAPCslKRCM7m1bZWbm3vIXqG8gMACAAAAnpUqhWZya9uJhKpQAAAAACJGiQUAAAA8K10KJF3yXdl2kRRIIiGwAAAAgGelJhWaya1tJxKqQgEAAADVKIteoQAAAID4liIFkupSlaSUsu0mSq9QlFgAAAAAiBglFgAAAPCstKQCSUvKd23biYTAAgAAAJ7FOBY1h6pQAAAAAGKrxGLNmjWSn58vnTp1iuZqAQAAgCqhxCLGA4tnnnlG5s2bJ1OnTvXPGzx4sLz66qvm/xNOOEGmT58uTZo0iV5KAQAAgErS9hXpSe7U/i9wqW1HXFWF+sc//iFNmzb1P58xY4a88sorctNNN8mzzz5rSi4efvjhaKYTAAAAiEtZjGNRvp9//jmoutNbb70lbdu2lQkTJpjnW7Zskddeey16qQQAAACqIEUKzeTWthNpHIsqBRY+ny/o+b/+9S+56KKL/M/btGljggsAAADATalJhWZya9uJpEpVoTp06CDvv/++vxrUpk2b5JxzzvG/vmHDBmnYsGH0UgkAAADAeyUWd911l1xzzTXSqFEjycvLM9WiBg4c6H/9iy++kO7du0cznQAAAEClpUuBpLs0dFu6MEDeIV111VVy2GGHmZ6ftGTitttuk9TU0lXt2LFDGjduLNddd1200woAAABUup2DW92+ptDdbMWceeaZZgqlQcV7770XaboAAAAAJMrI2xs3bpQ333xTnn76adOuQhUXF5tSC32sLO1VqmvXrqbVvE59+/aVTz/9NJIkAgAAIIFZjbfdmhJJclV7hRoxYoTpYvbaa681/69cudK8tnfvXtMrlI5nUVlHHXWUPPbYY7Jo0SJZuHChnH766aa3qWXLllUlmQAAAABiObB44oknTCmFNuKeOXNmUPezDRo0kEsuuUTefffdSq/3ggsukHPPPVeOOeYY0/PUo48+KvXq1ZP58+dXJZkAAABIcGmSL2lywKUp36SBAfIO4qWXXpLrr79e/vrXv8qvv/4a9rpWZ4q0CpNWpXr77bdNr1NaJQoAAACorNIqSe70CpVaVhWKAfIOYv369dKvX79yX69bt67s3r27Sgn6/vvvTSBx4MABU1qh42VohAcAAADAY4FFkyZNTHBRHm0j0apVqyol6Nhjj5UlS5bIrl275J133pHs7Gz58ssvTXCRn59vJruS4gJJTkmv0rYAAACQCN3NulNikZJg3c1WqY2FtqF4/vnnZc2aNf55SUlJ5vFf//qXTJ48WS6//PIqJSg9PV3at28vPXv2lDFjxki3bt1Mew6lz7UNh31at/L1Km0HAAAA3pcu+ZIuB1ya8iWRVCmwePjhh6V58+ZmdG1ta6FBxdixY+Xkk0+Wc845x7SxuO+++6KSwJKSEn8pxciRI01Jhn1q1WFQVLYDAAAAoIYDCy0p0J6a7rnnHjOWRa1atUx1pZ07d8qoUaPk3//+t9SpU6fS69XAYe7cufLTTz+Zthb6fM6cOaZLW5WRkeEf48KaqAYFAACA8qQkFbo6VZb2HKVDN+j9dZ8+fWTBggUHXV47O+rYsaNZvkuXLjJ9+vSg12+44QZTCGCfzj77bKkOVa5wVrt2bbn//vvNFC1bt241JSCbN282wYuWfMyYMcNxhG8AAADgUFJNG4sU17ZdGdOmTTPjw2mTAw0qxo0bJwMHDpQVK1aYNs6h5s2bJ1dffbVpLnD++efLlClT5OKLL5bFixfL8ccf719OA4lJkyb5n+uP9TFTYqED182aNavc12fPnm2WqayXX37ZlFZo1ScNMj7//HOCCgAAACSEp556SoYMGSKDBw82HRdpgKG1gCZOnOi4vLZD1qDh7rvvlk6dOsno0aOlR48eMn78+KDlNJBo1qyZf2rUqFHsBBZaPemXX34p93UNCrRqFAAAAOCmVCkqK7VwYyqqcDoLCgpMz6oDBgzwz0tOTjbPv/76a8f36Hz78kpLOEKX13t3LfHQ3ldvvfVWx3HoXK0KZfUC5WT16tVSv379qq4aAAAA8IzdIeO7aQlCaHWk7du3mwGimzZtGjRfny9fvtxxvVu2bHFcXudbtERDe3Rt27at/Pjjj6aDJe1sSYOPlJQUdwKLV155xUyWRx55xIzAHUobcH/33Xdy7rnnRi+VAAAAQFXsGCtywKVt7yt9aNmyZdBs7ezooYceqpEkXHXVVf7/tXG3tmFu166dKcU444wz3Aks9u3bJ9u2bfM/37NnjymeCS3F0FG3b7nlFnnwwQejmlAAAACg0nxlk1vbFjEDS2tvpgdrPH344YebEoTQ5gb6XNtFONH5lVleHX300WZbWsPItcBC62PppLQoRRuLXHjhhVFNDAAAAOA1mWXDJBxqkGgdIFo7SNKenazx3PT5sGHDHN/Tt29f8/odd9zhnzdz5kwzvzwbNmwwbSx0TLqYaGOxdu3aqCcEAAAAiLqSssmtbVeCdjWbnZ0tvXr1kt69e5vuZvPy8kwvUUqHZWjRooXpXlYNHz5c+vfvL08++aScd955MnXqVFm4cKG8+OKL5vW9e/eaga0vvfRSU4qhbSx0HLr27dubRt4x03jbXiVKR8DWiCpUq1atIl09AAAAkBCBxZVXXmmaHmiTAm2A3b17d/nss8/8DbTXrVsX1BShX79+ZuwKHVdOG2Ufc8wx8sEHH/jHsNCqVdr2WdtJazvoI488Us466yzTLW11jGVR5cBiwoQJpq/dNWvWlLuMtmwHAAAAUDFa7am8qk/a4DrU5ZdfbqbyBrTWwaZrSpXGsdDBOoYOHWqKUbR3KJ/PZ+p2/fnPfzbFLN26dTOD3QEAAAAxUWLh1pRAqhRYPPvss6Ze1qeffio33XSTmaf1uh599FH54YcfTPWo6hp4AwAAAKh0r1BuTQmkSoGFNvy44IILzP9paWn+0QJVgwYN5I9//KM899xz0UwnAAAAgBhWpTYWGjwUFZUOUa5dZ9WpU8f0z2vRUbftI/4BAAAAroijxtsJWWKhLc2//fZb//MTTzzRNObeuHGjCTBeeOEF6dChQzTTCQAAAFQebSxiu8Ri0KBBpgF3fn6+6apK+8cdMGCAv3tZrR717rvvRjutAAAAALwUWOggHdZAHeqkk06SZcuWyccff2z6y9X+cSmxAAAAgOtioCpUVlaWuUfWXlV18qoqBRY6OMcRRxxh+sa1HH300Wb0P7V//36zDAPkAQAAINHl5uaadsleV6U2Fm3btpX333+/3Nc/+ugjswwAAADgKrqbje0SCx0Q72AKCwuDhhsHAAAAXOFzsSqUTxJKhQOL3bt3y86dO/3PdQA8re4USpeZOnWqNG/ePHqpBAAAAOCNwOLvf/+7/OUvfzH/JyUlyR133GGm8ko0HnnkkeilEgAAAIjTxtuJosKBhfb0VK9ePRM03HPPPXL11VdLjx49gpbRgKNu3brSs2dP6dWrV3WkFwAAAKg4AovYCyz69u1rJpWXlyeXXnqpGSgPAAAAAKrUeHvUqFFh80pKSmT79u2mG1otuQAAAABcR4lFjalw100rV66UV199VX777beg+bt27ZLrr79e6tSpYxpsa2Axfvz46kgrAAAAUDl0Nxt7gcWTTz4pDzzwgDRs2DBo/s033yyvv/66tG7dWi655BLJyMgwA+V98MEH1ZFeAAAAAPFcFeqrr76S888/P6ia0/r16+Wtt94ybS++/PJLSU1NNd3N6rDlOTk5cvHFF1dXugEAAIBDoypU7JVYbNy4UTp27Bg075NPPjGBhpZQaFChtERDq0Z988030U8tAAAAUJXAwq0pgVQ4sNDG2WlpaUHz/vOf/5jH/v37B80/6qijZM+ePdFKIwAAAACvVIVq166dzJ8/X2655RbzvLi4WL744gtTitG0adOgZXfs2GEacdeE1LSUqKznwP4ifwBlKS4K/J+SWhqDJacEqoJZy+7LK/DP85WUttJJSg4sV6duum09pelt2LiOf55VvaygoCiQnn2F/v+LiopLX88vfbRz6oArPSNwTBo0Cmwns2Ft89jhuKZhxy//QGDb38z/2f//zl/zzGNhYeBYFJals7gsXfbjkpISiFV1zJPAe0rfn2w7LkW24xt6/Mz+lqUpNS2wzoxapcHtAVt6rW2m1wpk56K9DsfKtu2Ssu3Yz3FRYeA9aempQee9dNupQY92abZ8aN8vK23WObTvoz09dnXrZ5TuT1kaStdfup4d20vPhyrILwo7d7ZDLvtt+dJS3jZD02Zfj5XH7PNCX1PJtnOfll56PFJtx89iz0v2PG1dT/Y8kJaRGjZv8dc/lT2K43rs+S6U/Xzbq3Va575WncCPJ1baD3XMDsWedqd0WHnRKdn25Zz2y349WeuxnxPrLfb12D/1res/2Xfw35js14bFflystOXvLwybF61eAoPzmm3bDtey07GyX8vWftvTVlJc+n77p1JBQXG559Bs03pPscO5saUxOTn5oPtzsPWUx+n4Wvto/4yy7/dB12fbR+vw2a/V4DxbErZtKy9m1E6r0LVo31/rOKt0h88OK2/b/3f6rrEvZ/8ctvbN/vrB0mZ9fpnt2NJhnx96XII/h8PzZPD6U8PuNyxJlfhstvKY/dylpqWG5b+g9ZedM6f9t5/vFIf32++3rHNnz7NFZVePfTn7dqxl7fOs/6N1L1cuqkLFXmCRnZ0td999t3Tq1En69esnb7zxhmzdulVuv/32sGX//e9/S4cOHaKdVgAAAADxHljcdttt8vnnn8vIkSNNxKtRplaBuuuuu4KW0wbdn376qTzyyCPVkV4AAACg4tzs9tUnCaXCgYW2r/j4449l4cKF8uOPP5ruZU888cSw5fLz82XKlClyyimnRDutAAAAQNxVhcrKypKUlBQZOnSombyq0iNv9+rVy0zlad++vZkAAAAAiOTm5kpmZqZ4XaUDCwAAACBu+FwssfBJQiGwAAAAgHfFQFWoRFHhcSwAAAAAoDyUWAAAAMC7KLGoMQQWAAAA8C66m60xVIUCAAAAUHMlFk4jbB+MDqL39NNPVyVNAAAAQHRQFSr2Aovx48f7R9yuCAILAAAAIHFUuCpURkaGmS677DJ57733zAjbJSUl5U7FxcXVm3IAAACgoiUWbk0JpMKBxdatW2XChAmya9cuufzyy6Vp06YyZMgQmT17dvWmEAAAAKgqAovYCyzq168v2dnZMmPGDNmwYYOMGjVKvvvuOznjjDOkRYsWMmLECFm4cGH1phYAAACAd3qF0tKK4cOHy3//+19ZtWqV3HzzzTJ9+nTp06ePPP7449FPJQAAABBJd7NuTQkk4nEsdu7caapH7dmzxzTsrl27dnRSBgAAAESKXqFiO7BYuXKlTJkyRd58801TYtGxY0e59dZb5ZprrpGjjz46+qkEAAAA4I3AYuPGjSaQ0Ombb76Ro446Sq666ioTTHTv3r16UwkAAABUBSUWsRdYtGrVSmrVqiXnnnuu3H///XLKKaeYsSrUjh07HN/TuHHj6KUUAAAAqCyfizf4PkkoFQ4stP3E/v37zRgWOlUEY1kAAAAAiaHCgYV2LwsAAADEFapC1RgCCwAAAHiXm92++iShVGkcCwAAAACoUonF4sWLpbJ69OhR6fcAAAAAUUNVqNgLLHr16uXvBaoiDb11WRpvAwAAAImhUgPkaXez5513ngwcOFBSUyMetPugHnvsMRk5cqQMHz5cxo0bV63bAgAAgEfFQIlFVlaWpKSkyNChQ83kVRWODl544QUz2rZ2NTtnzhy57LLLzOB4J598ctQTlZuba7bXtWvXqK8bAAAACSQGAovc3FzJzMwUr6tw4+0hQ4bI7Nmz5eeff5a7775b5s+fbwbJa9OmjSlZ+O6776KSoL1798q1114rL730kjRq1Cgq6wQAAAAQY71CtWjRwgQW2ph72bJlMmjQIHnrrbfkhBNOkC5dusiMGTMiSpAWD2l1qwEDBkS0HgAAAMDf3axbUwKJqLvZTp06ySOPPCLvv/++9O/f3wQa//3vf6u8vqlTp5qAZcyYMZEkCwAAAAiuCuXWlECq3AJ77dq18uabb5rphx9+kKOPPlruv/9+ueGGG6q0vvXr15uG2jNnzjSNxJ3k5+ebya6kuECSU9KrtE0AAAAALgQWW7dulWnTpplG3Foy0axZM7niiivk5Zdflt69e0eUkEWLFpn128e+0O5q586dK+PHjzcBhZZkPPzww0Hva9P5D3L0cTdGtG0AAAB4VAw03k4UFQ4szjrrLNN4u169enLJJZfI6NGj5fTTT5fk5OgM3n3GGWfI999/HzRv8ODB0rFjR7n33ntNF13aSHzEiBFBy1w0uPID9wEAACBBEFjEXmDx+eefS+3atU0/vNu2bZNnnnnGTOXRAfI+/PDDCiekfv36cvzxxwfNq1u3rhx22GH++RkZGWayoxoUAAAAEEeBRatWrUywsGrVqgotX9FRugEAAIBq43Ox5MAnCaXCgcVPP/0kNU0H4gMAAACqzM1uX32SUKLTQAIAAABAQqtyd7MAAABAzKPxduwFFl27dq3UirWNxbfffluVNAEAAADwamDRuHHjoAbZhYWFMm/ePBNwNGrUqLrSBwAAAFQdJRaxF1iENqTevn27NGnSRJ566ikzngUAAAAQc4pcbFVcJAmlyoeZ7mQBAAAAWGi8DQAAAO+iKlSNIbAAAACAd1EVqsYwjgUAAACAmiuxWLx4cdDzXbt2mcdVq1ZJw4YNHd/To0ePSNMHAAAAVF2xiyUHxZJQKhxY9OrVy7HB9m233RY2z+fzmWWLixPsaAIAACC2aFDhVp9DRZJQKhxYTJo0qXpTAgAAAMD7gUV2dnb1pgQAAACINkosagyNtwEAAABEjO5mAQAA4F2MY1FjCCwAAADgXVSFqjFUhQIAAAAQMUosAAAA4F3FLpZYFEtCIbAAAACAd7lZHalIEgpVoQAAAABEjBILAAAAeBe9QtUYAgsAAAB4F1WhagxVoQAAAABEjBILAAAAeBclFjWGEgsAAAB4V3HZDb4bU3Hlk5uTkyNt2rSRWrVqSZ8+fWTBggUHXf7tt9+Wjh07muW7dOki06dPD3r9vffek7POOksOO+wwSUpKkiVLlkh1IbAAAAAAYsC0adNkxIgRMmrUKFm8eLF069ZNBg4cKFu3bnVcft68eXL11VfLjTfeKN98841cfPHFZlq6dKl/mby8PDn55JNl7Nix1Z5+AgsAAAB4V5HLUyU89dRTMmTIEBk8eLB07txZnn/+ealTp45MnDjRcfmnn35azj77bLn77rulU6dOMnr0aOnRo4eMHz/ev8x1110nDz74oAwYMECqG4EFAAAA4LKCggJZtGhRUACQnJxsnn/99deO79H5oQGDlnCUt3x1o/E2AAAAvEvHkkhycdsisnv37qDZGRkZZrLbvn27FBcXS9OmTYPm6/Ply5c7rn7Lli2Oy+t8N8R9YFFwIDrN7WvVSQsrxPGlB14vLirNGSUlgZFOSop95jHJllnTMkoPaUatwKH1lZQup/LL0rvhpx1h605JDWw7JSU5LG1HNKvvn3dkq4bmsUePw/3zrv21duk/K8rZyZTSh6lNApl7xqc/m8dfNgfm7dl5IGzbLds08s8becFK89hh2EVSrU4re7RfL61KH56uvc8/a8n80n3YsT3fP68gP9BaqrCgKOw8pKSWHgxtxGTJqG3lgcD8lJTA6/b3+9ddWHruDuwrDLw3OfCe1LJzWlR2jk3ayvKAPd/4bKves3N/2HqsvOYk2ZZGu9S0lLB1W/nXvr7y0hG6PyW2fbCOj315n+1JUdlxsfbfvp46dQMXVt36gQ/V+g1qhV07e3eV5sWtW/bY1l16bksczof9erKnJy09NeiYmHlptrTVTQvLN/vLzql9Pf59tW3bfp6crl/7dR3Yh5Kwc2Kl26zTflIqKNk6Tw7Hxb4+p3xs/1yz0nHINNjW45RvnNiPhZXetPSUgx6rwoLisOOTbDu+gTRU/DxZ85Ns146VDvu1Wpgf/v0SdH1b+Snw0RGUfw8mtewzSBUXh+fZQ7GOi9P5PrC/0Pncl61ffwENnWc/voH3Bv63Jy29bB/t++qUX+z7c6jXy9u/0LRZ+1uUVBK2HqdrXiWnlm67li2vWeplln7uqF4ntTWP69f+GvYZpHZszzOPBbZ8YeVj+2dLftnxt3822/Oi/XoLrCe53GvAzC9bl/0zylqP/TBa33dO590+3yltwddV+LEKSm/Z+4Pub6z9tl0jjtedw2dmtO7lyqWrr/jlFV3FpQ8tW7YMmq1tKB566CHxmrgPLAAAAIBYtn79esnMzPQ/Dy2tUIcffrikpKTIL7/8EjRfnzdr1sxxvTq/MstXN9pYAAAAwLtioPF2ZmZm0OQUWKSnp0vPnj1l1qxZQSVT+rxv376Ou6bz7curmTNnlrt8daPEAgAAAN5V7GJVqJLKLa5dzWZnZ0uvXr2kd+/eMm7cONNdrPYSpa6//npp0aKFjBkzxjwfPny49O/fX5588kk577zzZOrUqbJw4UJ58cUX/evcsWOHrFu3TjZt2mSer1hRWmdeSzWiXbJBYAEAAADEgCuvvFK2bdtmuofVBtjdu3eXzz77zN9AWwMEezupfv36yZQpU+T++++X++67T4455hj54IMP5Pjjj/cv89FHH/kDE3XVVVdVWzsPAgsAAAB4V0l8bXvYsGFmcjJnzpyweZdffrmZynPDDTeYqSbQxgIAAADeFQNtLLKyssyAdzk5OeJllFgAAAAA1Sg3NzeoVyivIrAAAACAdxW5WEenRBIKgQUAAAC8i8CixtDGAgAAAEDEKLEAAACAt8excKvkwCcJhRILAAAAoBpl0SsUAAAAEOe0tCLJ3RKLXHqFAgAAADzQeNvlwCJRUBUKAAAAQMQosQAAAIB3UWJRYwgsAAAA4F0EFjWGqlAAAAAAIkaJBQAAALwrBnqFShSUWAAAAMDTNaGKfC5NUopxLAAAAABELJdxLAAAAID4Vlg2ubXtREJVKAAAAAARo8QCAAAAnlVQNrm17URCYAEAAADPKnKxSlKRJBaqQgEAAADwVmDx0EMPSVJSUtDUsWNHt5MFAACAOB7Gws0pkcRcVajjjjtOPv/8c//z1NSYSyIAAADiBG0sErTEwgokmjVr5p8OP/xwt5MEAAAAVFkWA+S5Y9WqVXLkkUdKrVq1pG/fvjJmzBhp1aqV28kCAABAHIqFcSxyGSCv5vXp00cmT54sxx57rGzevFkefvhh+d3vfidLly6V+vXru508AAAAxBl6hUrQwOKcc87x/9+1a1cTaLRu3VreeustufHGGyU/P99MdiXFBZKcku5CagEAAADEbBsLu4YNG0qHDh1k9erV5rlWi2rQoEHQtH71G24nEwAAADGq2OUpkcR0YLF371758ccfpXnz5ub5yJEjZdeuXUFTy/bXup1MAAAAxHgbC7emRBJTVaHuuusuueCCC0z1p02bNsmoUaMkJSVFrr76avN6RkaGmeyoBgUAAAC4L6YCiw0bNpgg4tdff5UjjjhCTj75ZJk/f775HwAAAKgsxrFI0MBi6tSpbicBAAAAQLwHFgAAAEA00d1szSGwAAAAgGfFwgB5iSKme4UCAAAA4l1WVpZ07txZcnJyxMsosQAAAIBnuTmeRHHZY25urmRmZorXEVgAAADAs6gKVXOoCgUAAAAgYpRYAAAAwLPoFarmEFgAAADAswpcvOEtkMRCVSgAAAAAEaPEAgAAAJ5VUja5te1EQmABAAAAz6IqVM2hKhQAAACAiFFiAQAAAM+iV6iaQ4kFAAAAgIhRYgEAAADPKnTxhrdQEgslFgAAAPCsApcnlZWVJZ07d5acnBzxMkosAAAAgGqUm5srmZmZ4nUEFgAAAPAsxrGoOQQWAAAA8Cx6hao5tLEAAAAAEDFKLAAAAOBZBS7+kl4giYXAAgAAAJ6l1aBSXNx2IqEqFAAAAICIUWIBAAAAzyoum9zadiKhxAIAAABAxCixAAAAgGfR3WzNIbAAAACAZxW52Hi7SBILVaEAAAAARCzJ5/P5JI4NvGZ+VNaTnJwUNq+wMDAQe2FBeMyZll5a4JOeEYiDk5JK11O3foZ/XkpKIH4rLCxtxlOYH1hfnXqly9apm+6fty8v0PPxrt/2mcf9eYGCvKKy9WTUTvPPs9KRmhpIjz0d7Ts1MY/XHR84Zh1+uMg8Luk0yz9vXXEn////21jXPP64Yqt/3pYNu8LSaB2fkuJAdkpOCRzTWmXpzKgVSO8JfVubxzbtD/fPuyLjqUDa5/4/KVerwL95bZ40j0+v/oN/3qplW/z//7J5d9jxKy4Kb05lvxKstFvnOPQ8Wwryi8Pyh/0YlGUHx3WnZwTWnZYeWLevpHThkrLH8vJnQUFxUF4I3XZF9+FQrPQk2dKQlpYSlHdD7d65PyxthWXpte+X/eOnuKgk7LikpCaH7b/1fvt6nI65/XXruiwpKanweTrYR6O1vtB87rTuSNjXnVp2zK1jbz8+5bH2wTqHqqjsOJe+XvqYlpYcNs++/9bxt+eBquQb6xzb84M9j4SmwX4M7Mfcvt/+c1scvl92Tte8Ux6xbeaQ+5ucnByWHuu42dNrX6d1rdvPoyW9ViDv5+3JP+i2/duz70NZeu3rDj7f4QfGOifB12X48vbtFNuO9cHyvH2/K3rMLWm2zwH79W/9H3TMHfKa9dls/3y270N62XeRPe9b77fnU/t6nI6f07Vhfb875WP7Z7J92/bPPf96HK4N+3G20lPs8FlmP2ZOnxP29Vjbsb/Hfgwqer6t7djzvtN153RdWfcIkZox5cSg57t375YGDRrIcL3/EHfk6/2J3svt2iWZmZnidVSFAgAAgGdpGORzimBrYtu+uP79vtKoCgUAAAAgYgQWAAAA8HaJhYuTysrKks6dO0tOTo54GVWhAAAA4Fn2G3w3tq1yc3MToo0FJRYAAAAAIkaJBQAAADyrJKl0cmXb4mJxiQsILAAAAOBZsVAVKlFQFQoAAABAxCixAAAAgGdRYlFzKLEAAAAAEDFKLAAAAOBZPkkykzvbTqxyCwILAAAAeJbPxV6hfP4/iYGqUAAAAAAiRokFAAAAPIvG2zWHwAIAAACeRWBRc6gKBQAAACBilFgAAADAs3xJSWZyZdsS+JsICCwAAADgWSVlk1vbTiRUhQIAAAAQMUosAAAA4Fk03q45BBYAAADw9AB5OrmybUksVIUCAAAAEDFKLAAAAOBZVIWqOZRYAAAAAIgYJRYAAADwrBJJMpM7204sBBYAAADwLBpvJ3BVqI0bN8qgQYPksMMOk9q1a0uXLl1k4cKFbicLAAAAqJKsrCzp3Lmz5OTkiJfFVInFb7/9JieddJKcdtpp8umnn8oRRxwhq1atkkaNGrmdNAAAAMShWGi8nZubK5mZmeJ1MRVYjB07Vlq2bCmTJk3yz2vbtq2raQIAAED8KnGxrUOJJJaYqgr10UcfSa9eveTyyy+XJk2ayAknnCAvvfSS28kCAAAAEE+BxZo1a2TChAlyzDHHyIwZM+TWW2+V22+/XV555RW3kwYAAAAgXqpClZSUmBKLv/71r+a5llgsXbpUnn/+ecnOzpb8/HwzBb2nuECSU9JdSjEAAABiWUlSkplc2bYklpgqsWjevLlpMW/XqVMnWbdunfl/zJgx0qBBg6BpzQ+vupRaAAAAADEZWGiPUCtWrAiat3LlSmndurX5f+TIkbJr166g6ejO17uUWgAAAMRTz1A1PSWamKoKdeedd0q/fv1MVagrrrhCFixYIC+++KKZVEZGhpnsqAYFAAAAuC851gYPef/99+XNN9+U448/XkaPHi3jxo2Ta6+91u2kAQAAII67m3VrSiQxVWKhzj//fDMBAAAAEdN22+603U44MVViAQAAACA+xVyJBQAAABAtjLxdcwgsAAAA4Fk+STKTO9tOLFSFAgAAABAxSiwAAADgWSVJpZMr25bEQmABAAAAz3JzsDqfJBaqQgEAAACIGCUWAAAA8CxKLGoOgQUAAAA8i16hag5VoQAAAABEjBILAAAAeBa9QtUcSiwAAAAARIwSCwAAAHgWjbdrDoEFAAAAPIvAouZQFQoAAABAxCixAAAAgGf5kkonV7YtiYXAAgAAAJ5VIklmcmfbiYWqUAAAAAAiRokFAAAAPIvG2zWHwAIAAADe5WIbi0RDVSgAAAAAEaPEAgAAAJ5FVaiaQ2ABAAAAzyKwqDlUhQIAAAAQMQILAAAAeH4cC7emysrJyZE2bdpIrVq1pE+fPrJgwYKDLv/2229Lx44dzfJdunSR6dOnB73u8/nkwQcflObNm0vt2rVlwIABsmrVqqBlHn30UenXr5/UqVNHGjZsKFVFYAEAAADEgGnTpsmIESNk1KhRsnjxYunWrZsMHDhQtm7d6rj8vHnz5Oqrr5Ybb7xRvvnmG7n44ovNtHTpUv8yjz/+uDzzzDPy/PPPy3//+1+pW7euWeeBAwf8yxQUFMjll18ut956a0TpJ7AAAACAZ2lXs25OlfHUU0/JkCFDZPDgwdK5c2cTDGgpwsSJEx2Xf/rpp+Xss8+Wu+++Wzp16iSjR4+WHj16yPjx4/2lFePGjZP7779fLrroIunatau8+uqrsmnTJvnggw/863n44YflzjvvNCUekSCwAAAAgOcbb7s1VZSWGixatMhUVbIkJyeb519//bXje3S+fXmlpRHW8mvXrpUtW7YELdOgQQNTxaq8dUaCXqEAAADgWUU+9/pnKirb7O7du4PmZ2RkmMlu+/btUlxcLE2bNg2ar8+XL1/uuH4NGpyW1/nW69a88paJprgPLD6adIKMGTNGRo4cGXaCvCw/Pz+C/b4w8O/JpTm+u+3V7o5LZkrNGBH4t5/t/4Mdg0uHmmNwXz/7q1VveJQYecAbEv0YJPr+q0Q/Bom+/4pjwDGw9j8//4Sg/U9PT5dmzZrJvGq4ga6MevXqScuWLYPmaRuKhx56SLwmyaeVr+KYRoBapLNr1y7JzKypm1/3Jep+2yX6MUj0/VeJfgwSff9Voh+DRN9/xTHgGBxs/7WBslYxcpPP55OkpKRDllhoOrU9xTvvvGMaYFuys7Nl586d8uGHH4atu1WrVqax9x133BEUtGj7iW+//VbWrFkj7dq1Mw27u3cP/HTcv39/81zbaNhNnjzZrEu3l5AlFgAAAIAT7YJVp3iQnp4uPXv2lFmzZvkDi5KSEvN82LBhju/p27eved0eWMycOdPMV23btjWlNrqMFVhoIKa9Q0XaA5QTAgsAAAAgBowYMcKUUPTq1Ut69+5tenTKy8szvUSp66+/Xlq0aGGqfqnhw4eb0ocnn3xSzjvvPJk6daosXLhQXnzxRfO6lpRo0PHII4/IMcccYwKNBx54QI488sigUpF169bJjh07zKO281iyZImZ3759e1OVq6IILAAAAIAYcOWVV8q2bdvMgHbauFpLGT777DN/42u98deeoiw6qN2UKVNMd7L33XefCR60GtTxxx/vX+aee+4xwclNN91kqjidfPLJZp32khzd3iuvvOJ/fsIJJ5jH2bNny6mnnpo4gYXWT9O6ZInWWClR99su0Y9Bou+/SvRjkOj7rxL9GCT6/iuOAcfAa/s/bNiwcqs+zZkzJ2yeDmynU3m01OIvf/mLmcqjbSt0kkRvvA0AAADAfQyQBwAAACBiBBYAAAAAIkZgAQAAACBicR9Y5OTkSJs2bUzL9j59+siCBQvEK7QrsaysLKlfv740adLEdAu2YsUKx2W1qcw555xjGuhobwBe9Nhjj/m7TbP8+OOP8vvf/16OOOIIMyjOFVdcIb/88ot4ieZv3e/QaejQoQmTB/bs2WPOe+vWraV27dqmF4zc3Fz/63rOb7jhBtN9ng4udPbZZ8uqVaskXs2dO1cuuOACsz+h57OwsFDuvfde6dKli9StW9cso90Pbtq0qdwRabVXEV2P1X1gPO9/qFtuucUso10y2i1evFjOPPNMadiwoRx22GGmN5S9e/dKvDjUMXD6TNDpiSeeSIg8UJFrPp6/Hw71/a/dgv7pT3+SY4891nwm6iBpt99+uxkgzsmvv/4qRx11lDmWVR34LF7vgXT8Bv3O0PXoeA76+VlUVFRDe5F44jqwmDZtmunvV3sC0C+Rbt26ycCBA2Xr1q3iBV9++aW5eZw/f74Z7ERvKM466yzTZVgo/VINHdXRS/Qm8oUXXpCuXbv65+lx0OOh+/3FF1/IV199ZUat1C8jHVDGS/u+efNm/6R5QYX2AOHlPPDHP/7R7Pdrr70m33//vTnvAwYMkI0bN5ovFP3C0dFFdVRSHV1UAxB93elaiQeabv080x9OQu3bt8983mk/5Pr43nvvmS/bCy+80HFd2s2g3nx5Zf/t3n//ffP5GLp/GmTp+df+13UQKO1WcdmyZeZG1CvHwP6ZoNPEiRPN9X/ppZd6Pg9U5JqP9++HQ33/ax7X6W9/+5ssXbrU9Oaj+fzGG290XJ/Ot39/Jso9kI48fe6555rAU/OJ3jd+9NFH8uc//7mG9iIB+eJY7969fUOHDvU/Ly4u9h155JG+MWPG+Lxo69at2oOX78svvwya/8033/hatGjh27x5s3n9/fff93nJnj17fMccc4xv5syZvv79+/uGDx9u5s+YMcOXnJzs27Vrl3/ZnTt3+pKSksyyXqX7365dO19JSUlC5IF9+/b5UlJSfJ988knQ/B49evj+7//+z7dixQqzz0uXLg36LDjiiCN8L730ki/eVeR8LliwwCz3888/B82fPn26r2PHjr5ly5aZ1zWfeGX/N2zYYPK8nvfWrVv7/v73v/tfe+GFF3xNmjQx+cDy3XffmXWtWrXK58U8cNFFF/lOP/30sPlezAMVuea99v1Q3ve/3VtvveVLT0/3FRYWBs1/7rnnzHfnrFmzzDp+++03X6LcA40cOdLXq1evoOU/+ugjX61atXy7d++usbQnkrgtsdBfHhYtWmR+obDogCH6/OuvvxYvsoo4GzduHPTr5TXXXGN+1dEiPi/SXyx0NEn7ubaK9/UXCnu/1VolTvPBf/7zH/Eizfevv/66/OEPf/D/OuP1PKBF1joKqH0gH6XF/3qeNR8o++uaBzRfeDUfOH02aH7Qaj8WrfIxZMgQU8qjVUW8RH9xvu666+Tuu++W4447Lux1zRPp6elBg0hpflFezBN6rv/5z3+G/Vrt1TxQkWvea98PTt//Tstola/U1MAQZT/88IMZu+DVV18Nuh4S5R5I84HTd8eBAwfMPSSiL25z2fbt283NhjUSoUWf60iFXqNfpFrH/KSTTgoaTfHOO+80dQcvuugi8SIdml6re1hD19udeOKJpo651pfUDxctHr3rrrtMvtCqAV6kdUe1fqy9SofX84DWi+3bt6+MHj3aFP3r+dXgSn9A0PPcsWNHU7945MiR8ttvv5nga+zYsbJhwwbP5gM7/YLUa+Dqq682NxVKf+TVPKLtD3r16iVeo+dXb560TrmT008/3XwPaHsDzQ+aL6yqD17MEzparl4nl1xyiX+el/NARa55L30/lPf9H3pPpJ+R2pbIflOtnwt6HejxSsR7IK0eP2/ePHnzzTfNudfqs9YgcfGWD+JF3AYWiUZ/tdd6lHqjbdF6glp3NLTRolesX79ehg8fLm+88UbYLw5KG+S9/fbb8vHHH0u9evWkQYMG5qa7R48ecf/LTHlefvll00DNqi/t9Txg0V9c9UapRYsW5hfIZ555xnxh6nlOS0sz7QxWrlxpfsnSX2Znz55tjpNX84FF6xxrg1Q9NhMmTPDPf/bZZ02Dd73x8hr9lfHpp582dcrLa1OkpRh6s/3kk0+a/KC/ZLZt29b88OTFPKHtK6699tqgz0kv54GKXPNe+n5w+v632717tynV79y5szz00EP++XruO3XqJIMGDZJEvQfSNhkaWGmArd8dHTp0MG0uVLzlg7jhi1P5+fmm3nVovdPrr7/ed+GFF/q8RNuRHHXUUb41a9aE1bXX+qJ6HKxJT6nWK9X6lPFOz63uT+j+WftcVFTkX3bbtm3+eqNNmzb1Pf744z6v+emnn8y5/eCDDxImD4Tau3evb9OmTeb/K664wnfuuecGva51qLUertUG67bbbvPFu/Lq1xcUFPguvvhiX9euXX3bt28Pq2+veSA0X+ijfkbG8/5rW4ry8ry2tQi1ZcsW005L844uo/XQvdTGYu7cueb1JUuWJEweqOw1H8/fD+V9/1u0nUDfvn19Z5xxhm///v1Br3Xr1i0oD+j/Vh548MEHfYl0D6RtEjdu3Gja7P3www9mOW2bhuiL28DC+hAZNmxYUOMtbcDjlcbbeiHoBaUN0leuXBn2ujZU+v7774MmvViefvrpcj+E4ol+YIbunzbCGjRokPnfiTZO0w+a5cuX+7xm1KhRvmbNmgU1zPN6HijPjh07fA0aNDCNdJ3o9aJfLtqAM9453VRZQcVxxx3nv6my00bc9jyhx0HX88477/jWr1/vi+f91yAqNM/rZ+S999570Ov+5Zdf9tWpUycuG64e7MY6Ozvb17Nnz4TKA1W95uPp++FQ3/9KG6afeOKJ5iY6Ly8v7PXVq1cH5YGJEyeaYzlv3jzfL7/84kvUe6AHHnjA17Jly6AfJxE9gRY+cUi7ms3Ozjb1R3v37m2Kw7Qe5eDBg8ULtOhvypQppjs9rT9rtR3RIl1tfKTF+06NlbQupRb7xzvd59D6pFpnVvukt+ZPmjTJFPVqsbfWudeqU1rnUvv29hKtX6r7qvnd3jDP63nAMmPGDFPdR8/r6tWrTaNdrWdtXeta5UHzgO63dker+UC7o9Ri8Hik4y3oflrWrl1rxh/Qah/NmzeXyy67zLQ9+uSTT0y9YeuzQV/XRsuh9am1Kohq166d6cs+nvdf900/A0Krxuh1YL/ux48fb+pe675rV5WaZ3QsHHsD93g+BlYVGM37WuUrlNfzQEWu+Xj+fjjU97+ee91XbT+ibc70uU5K9zclJcWc69B2GEqPSTxcB9G6B9KqUNrdrFZ90ip0+jnw1ltvmWOEauCLc88++6yvVatWpos1LcGYP3++zyv09DhNkyZNOuh7vNTVaCh7d7NKf6XUou20tDTTJe2TTz4Z1A2rV1i/Nmo3i4fixTwwbdo039FHH22ucy210V+xtAqERX+h0qJyzQf6eXD//feb6pLxavbs2Y7Xvv46vXbt2nI/G/R9Tqz3xEtXowfbfyeh3c2q6667zte4cWOTZ7S62KuvvuqLJxU5BlpiV7t27aBroTxeywMVuebj+fvhUN//5R0fnfRcO7HeEy+ldtG6BzrttNNMCbd2MdunTx/TBTOqT5L+qY6ABQAAAEDioEk8AAAAgIgRWAAAAACIGIEFAAAAgIgRWAAAAACIGIEFAAAAgIgRWAAAAACIGIEFAAAAgIgRWAAAAACIGIEFAFTCDTfcIG3atBEvS4R9BABEH4EFgISXlJRUoWnOnDluJzXmTZ8+XR566CG3kwEAcEGSz+fzubFhAIgVr7/+etDzV199VWbOnCmvvfZa0PwzzzxTGjduLCUlJZKRkSFeVVhYWOV9HDZsmOTk5AhfLQCQeFLdTgAAuG3QoEFBz+fPn28Ci9D5iSItLc3tJAAA4hBVoQAggvYHP/30k6km9be//c38Un/00UdLnTp15KyzzpL169ebX+5Hjx4tRx11lNSuXVsuuugi2bFjR9h6P/30U/nd734ndevWlfr168t5550ny5YtO2R6Jk+ebLY/d+5cufnmm+Wwww6TzMxMuf766+W3334LW/65556T4447zpRGHHnkkTJ06FDZuXNnhffxxRdflHbt2pn3Z2VlSW5ubtD79BgoexUyy9SpU6Vnz55m/zSNXbp0kaeffrpCxx0AEPsosQCAKHjjjTekoKBA/vSnP5nA4fHHH5crrrhCTj/9dNM2495775XVq1fLs88+K3fddZdMnDjR/16tcpWdnS0DBw6UsWPHyr59+2TChAly8sknyzfffFOhhtRaBalhw4amfcOKFSvM+3/++WezbevmXl97+OGHZcCAAXLrrbf6l9Pg4KuvvjpkScWUKVNkz549JoDRdeo+XnLJJbJmzRrzXp2/adMmx2pkOu/qq6+WM844w+yj+t///me2O3z48CoedQBALCGwAIAo2Lhxo6xatUoaNGhgnhcXF8uYMWNk//79snDhQklNLf243bZtmwlC9IZef/Xfu3ev3H777fLHP/7RlAZYNNA49thj5a9//WvQ/PKkp6fLrFmz/MFB69at5Z577pGPP/5YLrzwQrNdTY+WpGjpSHJyaYF1x44dTVCi7UwGDx580G2sW7fO7GOjRo3Mc02flsDMmDFDzj//fOnbt6906NDBsRrZP//5T1NKocumpKRU+vgCAGIfVaEAIAouv/xyf1Ch+vTpYx71BtsKKqz5WrKhgYjSm3CtiqS/5m/fvt0/6c23Ljt79uwKbf+mm24KKnHQEgndrvbSpD7//HOz3TvuuMMfVKghQ4aYG3698T+UK6+80h9UKK26pbTE4lC0NCUvL8/sLwDAmyixAIAoaNWqVdBzK8ho2bKl43yr/YOWACitMuVEb/or4phjjgl6Xq9ePWnevLlpH6G0WpRVyhBa0qHtQqzXK7OPVpDh1JYj1G233SZvvfWWnHPOOdKiRQtTcqJVxc4+++wK7B0AIB4QWABAFJRXvae8+VZ3rNqtq9I2Cc2aNQtbzl7a4bZD7cvBNGnSRJYsWWKqQmlVLJ0mTZpkGpm/8sor1ZBaAEBNi51vLABIQNrDknXjrY2qq0pLPk477TT/c227sXnzZjn33HP9bS6UNtjWEgqLVo9au3ZtRNu2s/cCFUpLRy644AIzaUClpRgvvPCCPPDAA9K+ffuobB8A4B7aWACAi7QnKK3upI20dWC6UNrouiK0gbf9/do4vKioyFQ9Uho46I39M888E1TC8PLLL8uuXbtM97bRoN3lqtAubH/99deg59rOo2vXrub//Pz8qGwbAOAuSiwAwEUaVGgQcN1110mPHj3kqquukiOOOML0wKQNqk866SQZP378IdejJQ/alau2W9BSCR2vQrur1R6hlK5z5MiRprtZbdeg863ldDyKaA0GqONUKO3pSoMmrT6l+6S9Xmk3vNqWRMf00DYd2vVu9+7dpVOnTlHZNgDAXQQWAOCya665xgxW99hjj8kTTzxhfsHXBs7a69KhuoC1aPCh3dg++OCDpuRCe5nS0gl71SQdx0IDDF32zjvvlMaNG5vepLS0JFqjbeu4FjqWhw6Gp13YaumIBhYauGipigYyWpqh7Um0lylNk72XKgBA/EryVaTVHQAgJunI2xp86CB3vXr1cjs5AIAExs9EAAAAACJGYAEAAAAgYgQWAAAAACJGGwsAAAAAEaPEAgAAAEDECCwAAAAARIzAAgAAAEDECCwAAAAARIzAAgAAAEDECCwAAAAARIzAAgAAAEDECCwAAAAARIzAAgAAAIBE6v8DqjoifUcMh8IAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pval_corrected, rejected_corrected =statistics.pval_correction(result_univariate, \n",
" method='fdr_bh')\n",
"# Plot p-values\n",
"graphics.plot_p_value_matrix(pval_corrected.T, \n",
" title_text =\"Univaraite - Benjamini/Hochberg\",\n",
" figsize=(8, 5), \n",
" xlabel=\"Time points\", \n",
" ylabel=\"HMM States\", \n",
" annot=False, \n",
" num_x_ticks=11)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Cluster-based correction for univariate test\n",
"We can also apply cluster-based correction here to account for contiguous significant effects across time:\n"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pval_cluster =statistics.pval_cluster_based_correction(result_univariate, individual_feature=True,)\n",
"# Plot p-values\n",
"graphics.plot_p_value_matrix(pval_cluster.T, \n",
" title_text =\"Univariate - Cluster corrected\",\n",
" figsize=(8, 5), \n",
" xlabel=\"Time points\", \n",
" ylabel=\"HMM States\", \n",
" annot=False, \n",
" num_x_ticks=11)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Family-Wise Error Rate (FWER) correction**\\\n",
"Applying FWER correction"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Correct for FWER\n",
"pval_FWER = statistics.pval_FWER_correction(result_univariate)\n",
"\n",
"# Correct p-values using FWER\n",
"graphics.plot_p_value_matrix(pval_FWER.T, \n",
" title_text =\"Univaraite - FWER\",figsize=(8, 5), \n",
" xlabel=\"Time points\", \n",
" ylabel=\"HMM States\", \n",
" annot=False, \n",
" num_x_ticks=11)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "GLHMM_env",
"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": "3.9.21"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}