From b3265d44df9a544ed32bea9d34fb337a857ae65d Mon Sep 17 00:00:00 2001 From: Chester Ismay Date: Sat, 20 Jun 2026 11:51:17 -0700 Subject: [PATCH 1/3] feat: moderndive R argument parity (correlation methods, newdata, etc.) - get_correlation(method="spearman"|"kendall", na_rm=): rank correlations via scipy; na_rm toggles per-pair null dropping. - get_regression_points(newdata=, ID=): predict on a held-out frame (residual included when the outcome is present) and use a column as the identifier. - get_regression_table(default_categorical_levels=True): keep raw statsmodels factor-level term names instead of the prettified "var: level" form. - gg_parallel_slopes(alpha=): point transparency (both engines). Docs (correlation methods + newdata prediction) and CHANGELOG updated. 291 tests, 100% coverage, ruff clean, docs build -W clean. Co-Authored-By: Claude Opus 4.8 Claude-Session: https://claude.ai/code/session_017CTL1QSTg1DmDUpqYuPEog --- CHANGELOG.md | 2 + doc/_build/html/.doctrees/api.doctree | Bin 3822274 -> 3837105 bytes doc/_build/html/.doctrees/environment.pickle | Bin 3533378 -> 3538042 bytes .../html/.doctrees/getting-started.doctree | Bin 36590 -> 36590 bytes .../guides/confidence-intervals.doctree | Bin 63504 -> 63504 bytes .../guides/hypothesis-testing.doctree | Bin 75690 -> 75690 bytes .../html/.doctrees/guides/plotting.doctree | Bin 356967 -> 356967 bytes .../html/.doctrees/guides/regression.doctree | Bin 158745 -> 167971 bytes .../.doctrees/guides/theory-based.doctree | Bin 113878 -> 113878 bytes doc/_build/html/.doctrees/index.doctree | Bin 68619 -> 68619 bytes .../html/_modules/moderndive/correlation.html | 39 +++- .../html/_modules/moderndive/modeling.html | 95 +++++++- .../_modules/moderndive/plots/models.html | 9 +- .../html/_sources/guides/regression.md.txt | 16 ++ doc/_build/html/api.html | 35 ++- doc/_build/html/guides/regression.html | 38 ++++ doc/_build/html/searchindex.js | 2 +- doc/_build/jupyter_execute/datasets.ipynb | 8 +- .../jupyter_execute/getting-started.ipynb | 30 +-- .../guides/confidence-intervals.ipynb | 30 +-- .../guides/hypothesis-testing.ipynb | 30 +-- .../jupyter_execute/guides/messages.ipynb | 22 +- .../jupyter_execute/guides/plotting.ipynb | 54 ++--- .../jupyter_execute/guides/regression.ipynb | 204 +++++++++++++----- .../jupyter_execute/guides/sampling.ipynb | 24 +-- .../jupyter_execute/guides/theory-based.ipynb | 26 +-- doc/_build/jupyter_execute/index.ipynb | 14 +- doc/guides/regression.md | 16 ++ moderndive/correlation.py | 39 +++- moderndive/modeling.py | 95 +++++++- moderndive/plots/models.py | 9 +- tests/test_arg_parity_moderndive.py | 158 ++++++++++++++ 32 files changed, 791 insertions(+), 204 deletions(-) create mode 100644 tests/test_arg_parity_moderndive.py diff --git a/CHANGELOG.md b/CHANGELOG.md index 96afa73..18c4563 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -4,6 +4,8 @@ Full parity with the R `moderndive` and `infer` packages. +- **R argument parity (moderndive)**: `get_correlation(method=)` adds Spearman and Kendall rank correlations (plus `na_rm`); `get_regression_points(newdata=, ID=)` predicts on a held-out set and labels rows by a column; `get_regression_table(default_categorical_levels=)` can keep raw factor-level term names; `gg_parallel_slopes(alpha=)` sets point transparency. + - **Chi-square goodness-of-fit** (closes the last `infer` vignette gap): `specify(response=cat).hypothesize(null="point", p={level: prob, ...})` with `generate(type="draw")` and `calculate(stat="Chisq")` now runs a one-variable diff --git a/doc/_build/html/.doctrees/api.doctree b/doc/_build/html/.doctrees/api.doctree index 11726f63f3bbfd60dca6b112c2a0180bc90551a2..2f2882859e47ce3a6cfa06d874b2835f45adbc97 100644 GIT binary patch literal 3837105 zcmd?S2b3JgaX*ZBxI5&W$psj&2jcdaMS=uLkRTX9f)qfCk{I^(cIR$)u(!M10N_AU 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@@ -838,7 +842,7 @@

Regression & summary helpers
-moderndive.get_regression_points(model, digits=3)[source]
+moderndive.get_regression_points(model, digits=3, *, newdata=None, ID=None)[source]

Fitted values + residuals per observation (~ broom::augment).

Columns: ID, the outcome, each original predictor, <outcome>_hat, residual. In-formula transformations are handled gracefully: a @@ -847,12 +851,19 @@

Regression & summary helperspoly(), scale(), I()) are shown as their original columns rather than leaking basis matrices. For GLMs, fitted values and residuals are on the response scale (e.g. probabilities for logistic regression).

+

Pass newdata (a polars/pandas frame) to apply the model to new +observations: predictions are returned, plus a residual if the outcome is +present in newdata. ID names a column to use as the identifier (placed +first); without it, ID is 1..n.

Return type:

DataFrame

Parameters:
-

digits (int)

+
    +
  • digits (int)

  • +
  • ID (str | None)

  • +

@@ -881,15 +892,19 @@

Regression & summary helpers
-moderndive.get_correlation(data, formula=None, *, x=None, y=None, wide=False, quiet=False)[source]
-

Pearson correlation between an outcome and one or more predictors.

+moderndive.get_correlation(data, formula=None, *, x=None, y=None, method='pearson', na_rm=True, wide=False, quiet=False)[source] +

Correlation between an outcome and one or more predictors.

Mirrors moderndive::get_correlation. Give the variables either as a formula ("y ~ x" or "y ~ x1 + x2 + x3") or, for a single predictor, via x= and y=.

+

method is "pearson" (default), "spearman" (rank correlation), or +"kendall" (rank concordance). na_rm drops rows with a null in either +column before computing (per predictor pair); set na_rm=False to keep +them (yielding nan if any are present).

With one predictor the result is a 1-row frame with a cor column. With multiple predictors the result is long by default — columns predictor and cor (one row each) — or pass wide=True for one -column per predictor. Rows with a null in either column are dropped per pair.

+column per predictor.

A short note points to a full pairwise correlation matrix when there are multiple predictors; silence it with quiet=True.

@@ -901,6 +916,8 @@

Regression & summary helpersstr | None)

  • x (str | None)

  • y (str | None)

  • +
  • method (str)

  • +
  • na_rm (bool)

  • wide (bool)

  • quiet (bool)

  • @@ -1033,16 +1050,18 @@

    Sampling and plots
    -moderndive.gg_parallel_slopes(data, response, explanatory, by, *, engine='plotly')[source]
    +moderndive.gg_parallel_slopes(data, response, explanatory, by, *, alpha=1.0, engine='plotly')[source]

    Scatterplot with a parallel-slopes regression model overlaid.

    Fits response ~ explanatory + C(by) (one common slope, a separate intercept -per level of by) and draws one fitted line per group over the data.

    +per level of by) and draws one fitted line per group over the data. +alpha sets the point transparency (0–1), useful when points overlap.

    Parameters:
    diff --git a/doc/_build/html/guides/regression.html b/doc/_build/html/guides/regression.html index b292ff0..89b3132 100644 --- a/doc/_build/html/guides/regression.html +++ b/doc/_build/html/guides/regression.html @@ -315,6 +315,27 @@

    Fitted values & residualsIDpriceliving_areabedroomsprice_hatresiduali64i64i64i64f64f64114221219823184531.942-42319.942213486516763155816.245-20951.245311800716943157505.404-39498.404413829718002174935.767-36638.767512947020883194479.21-65009.21 +

    Pass ID= to label rows by a column, and newdata= to predict on a held-out set +(a residual is included when the outcome is present in newdata):

    +
    +
    +
    train = houses.head(800)
    +test = houses.tail(200)
    +model_train = smf.ols("price ~ living_area + bedrooms", data=train.to_pandas()).fit()
    +get_regression_points(model_train, newdata=test).head()
    +
    +
    +
    +
    +
    +shape: (5, 6)
    IDpriceliving_areabedroomsprice_hatresidual
    i64i64i64i64f64f64
    111351411422113390.574123.426
    210253012022119122.741-16592.741
    37597513003121229.32-45254.32
    412843415083141100.831-12666.831
    518548722713213994.885-28507.885
    +

    Model-fit summaries

    @@ -355,6 +376,23 @@

    Correlationcorf640.758674 +

    Use method= for rank correlations ("spearman" or "kendall"):

    +
    +
    +
    get_correlation(houses, "price ~ living_area", method="spearman")
    +
    +
    +
    +
    +
    +shape: (1, 1)
    cor
    f64
    0.770381
    +

    Pass several predictors on the right-hand side to get one correlation per predictor (long by default; wide=True for one column each):

    diff --git a/doc/_build/html/searchindex.js b/doc/_build/html/searchindex.js index 37869dd..a392574 100644 --- a/doc/_build/html/searchindex.js +++ b/doc/_build/html/searchindex.js @@ -1 +1 @@ -Search.setIndex({"alltitles":{"30-second example":[[11,"second-example"]],"3D regression plane":[[8,"d-regression-plane"]],"A bootstrap distribution for a mean":[[4,"a-bootstrap-distribution-for-a-mean"]],"A confidence interval for a difference":[[4,"a-confidence-interval-for-a-difference"]],"A confidence interval for a proportion":[[4,"a-confidence-interval-for-a-proportion"]],"A first summary":[[3,"a-first-summary"]],"API reference":[[0,null]],"Available statistics":[[5,"available-statistics"]],"Bootstrapping & confidence intervals":[[4,null]],"By topic":[[2,"by-topic"]],"Chi-square goodness-of-fit":[[5,"chi-square-goodness-of-fit"]],"Coefficient table (with confidence intervals)":[[8,"coefficient-table-with-confidence-intervals"]],"Coming from R":[[1,null]],"Confidence intervals \u2014 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figures":[[7,"saving-figures"]],"Shade the p-value":[[5,"shade-the-p-value"]],"Shading p-values":[[7,"shading-p-values"]],"Simulation vs. theory overlays":[[7,"simulation-vs-theory-overlays"]],"Tactile samples":[[9,"tactile-samples"]],"The bowl":[[9,"the-bowl"]],"The infer pipeline":[[1,"the-infer-pipeline"]],"The inference pipeline":[[3,"the-inference-pipeline"]],"Theoretical distributions with assume()":[[10,"theoretical-distributions-with-assume"]],"Theory-based inference":[[10,null]],"Theory-based tests":[[0,"theory-based-tests"]],"Tips":[[2,"tips"]],"Two groups: a permutation test":[[5,"two-groups-a-permutation-test"]],"Viewing data":[[0,"viewing-data"]],"Visualize the interval":[[4,"visualize-the-interval"]],"Visualizing models":[[8,"visualizing-models"]],"Visualizing \u2014 choose your engine":[[3,"visualizing-choose-your-engine"]],"What\u2019s actually different":[[1,"what-s-actually-different"]],"Where to next":[[11,"where-to-next"]],"Why 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\ No newline at end of file diff --git a/doc/_build/jupyter_execute/datasets.ipynb b/doc/_build/jupyter_execute/datasets.ipynb index 351ffc1..1bff463 100644 --- a/doc/_build/jupyter_execute/datasets.ipynb +++ b/doc/_build/jupyter_execute/datasets.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "1bfcc312", + "id": "0a48f48c", "metadata": { "tags": [ "remove-input" @@ -19,7 +19,7 @@ }, { "cell_type": "markdown", - "id": "8869ad7a", + "id": "32217457", "metadata": {}, "source": [ "# Datasets\n", @@ -31,7 +31,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "8b5fb72e", + "id": "ee436b76", "metadata": {}, "outputs": [ { @@ -82,7 +82,7 @@ }, { "cell_type": "markdown", - "id": "88c3d0f7", + "id": "5e1536bf", "metadata": {}, "source": [ "## By topic\n", diff --git a/doc/_build/jupyter_execute/getting-started.ipynb b/doc/_build/jupyter_execute/getting-started.ipynb index 051ae0e..9f274b0 100644 --- a/doc/_build/jupyter_execute/getting-started.ipynb +++ b/doc/_build/jupyter_execute/getting-started.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "abe0280c", + "id": "4e428a8d", "metadata": { "tags": [ "remove-input" @@ -19,7 +19,7 @@ }, { "cell_type": "markdown", - "id": "fea27be9", + "id": "016678e6", "metadata": {}, "source": [ "# Getting started\n", @@ -44,7 +44,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "48ac6430", + "id": "67b90cb7", "metadata": {}, "outputs": [ { @@ -88,7 +88,7 @@ }, { "cell_type": "markdown", - "id": "14b26543", + "id": "26544d7e", "metadata": {}, "source": [ "List everything that's available with `md.available_datasets()` (58 datasets), and\n", @@ -110,7 +110,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "7410aa14", + "id": "b4738c18", "metadata": {}, "outputs": [ { @@ -149,7 +149,7 @@ }, { "cell_type": "markdown", - "id": "a3d02e79", + "id": "2ed32f53", "metadata": {}, "source": [ "`count_missing` reports how many `null` values each column has, sorted worst-first\n", @@ -159,7 +159,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "c8cd6b75", + "id": "3d927817", "metadata": {}, "outputs": [ { @@ -208,7 +208,7 @@ }, { "cell_type": "markdown", - "id": "a8e21ac9", + "id": "3cb3d739", "metadata": {}, "source": [ "## The inference pipeline\n", @@ -220,7 +220,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "49486859", + "id": "a6911910", "metadata": {}, "outputs": [ { @@ -274,7 +274,7 @@ }, { "cell_type": "markdown", - "id": "2c752788", + "id": "b460f0be", "metadata": {}, "source": [ "Each verb has a focused guide: {doc}`guides/sampling`,\n", @@ -294,14 +294,14 @@ { "cell_type": "code", "execution_count": 6, - "id": "8d27b66e", + "id": "9d341ab0", "metadata": {}, "outputs": [ { "data": { "image/png": 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SS9PcuXOLx7HcP/zhD5ud10knnZSGDRtW36w+Rj4tVz6idzQrjma/TYlRw7/85S+nWhs4cGCDz3XiiSc26MKAtonmuiUxgnVbVGu7XZHfinXWWSdVy49+9KNmm7BH9wUxsndJNAvuDnIv3wFyog9AAGpuu+22S+edd1760pe+VB/0xX3091bq8y1CjPe+971pxx13TO973/vS9ttvX/TzVG3RD11Thg8f3uD/O++8c7PzKg9mSn3bdabonypCp9YqP8GMVgG1EP2pRT9vJdGvVkv69+9f9A94wQUXFP+Pfr6ac8QRRzT7fOM+I6sddkbfgnFrrXXXXbfom7Cpvg2rvR6j376S6IctgoamRODRVOgR/Q2WfOQjH2m2b8YQYUcEe6Xlu+eee9KECRPq+/K8++6766eNPtZaEuv5+9//fqq1D3/4w2mvvfZKt9xySxFafec73yn6jqTtIvguib5W26Ja2217xTZeLWussUbac889m52md+/e6bDDDqvvE/OBBx5IXV1PKN8BcqIGIAAdImpl/PWvf22yU/3o8D1qO33rW98qak1FGBe1pH7yk59UNVzbdNNNm3wuBiAoN3bs2FbPNzqh78qiA/p///vfRW21OMGMgDXWR609/vjj9Z3fV6qt0ZQIgktiuUs1zyrZZJNNmp1XDJoRNbtKSp3td5aooRK1TY855piiZlyt1+NGG21U/zheFzXp2rpPxfuWD/wRA7S0dRCfBx98sMHj8lq/sc+3JNZzqUZhrcUFixioJvz4xz9Ozz77bIe8b27KB35pbh+u1Xa7IpoaoKc94uJWBHwtKd+v3nnnnS5Rs7w5yneA7kUNQAA6TDTxe/TRR4uaDXFCFyPnRphRqdZSBGqlGoIRCsZJ+Cc+8YkVev84oS9vLtmSGEm2u4paEL///e/T3/72t+IkLZrTLV26tMOXozQKaIim1y015SuJJuIlERTFiJ/lfyuvZdaaET/Lm6BXu7l5jNbZVA222Laj5lM0/Y2aLrfddlsR+sXfo+nb008/ne64447lwudqrsfPfOYzDWrZnH/++enXv/51MTpv1IiNmkkt1eaLEYnLg9PypoqtDXGmTJlSfO4YITZGdy5ZffXVixFeW2PjjTdO9913X6q1eJ+osRwjA0f4GeFTVxnpuzspL9vbOjJvNbbbFVFp1OpqNIVuabsrF+VeNH/vqnpC+Q6QEwEgAJ3SJDhu0f9fNAX8xz/+Udwi7IuQo/EBfNSEiIBl+vTpRX+C7dXWQK81NTa6omhaFf2vtdR3WdSmamuzvLYq9XkXKp3gtbY5dlPLWV6zrz1ee+21oq+v5kTTwp///OdNPh+fqzVNdqOfsgjBjjzyyPrmr7HNR59z0ddcrdZjBOdRS/B3v/td/d+iJlU0zY1bBHLbbrtt0XfX4YcfntZff/1m12M45ZRTWhWQRM3e8iad8b7RxDm+95LRo0en9m4XtfTtb3+7+H4inIjaydEMNcInWq98u2xr7c1qbLddRWs/e+NAc9asWakr6+rlOwANCQAB6FRxwhP9AcWtVOPp1ltvLWo9Rd9C5bWdIiSJpoLNdQieY6DXFl/72tfSueeeW7EPqi222KK4xfcXTUejRtMXv/jFmi5PeQDUlho1peaXJU01lV3RdRrNEmNQmua8613vStUSzcpjoIJoAvzyyy/X12xqHABWez1edtllaauttir60ItAvXEtrWiSG7cI9j74wQ8W773hhhs2eYIegX17zJs3rwgAy7eLtgTztegXtCmxvUbff6XanXHxYe+99y6alNM65QMytCUgqtZ221W0tvZj1ASOW6n/w87urqC7l+8ANKRUBaBLiaaAhx56aLr22muLZoflfcHFSVE0Bc5Veaf37RHBaXloFLUs4sR50qRJxWAGERSdeeaZxWi07TkZX9HPVN5MqzVBUbkIjXIRtYGOOuqo+v+/8sorafLkyTVdj1FbKmogTp06tRh9N2pNVQrTIlSJmm7Rd9+TTz5Z9WZ1pb4yy5uGtqVJc1v7TFxRMfBEqQyK5tfnnHNOl93/u5oIjcv7TmxtM9hqbrddRWv7iI19oXw7WJFmyB2xPSnfAboXNQAB6LKi/7AYiTP6RSrVluqIgSs6S+PQq63KQ6Po6zD6Sivvg60zlAd3benAv7yJaGhL341tseaaaxY18jq6L8jGtVijs/9Sv3q1XI8RnkTTyrhF33bRx1oEin/+85+LgKskauJ+/vOfr6/p1/j7jzCmtf32lYt+whrPry3NHDt6tO0IoKIp9vjx44sQ9IwzzihqBFZ7xNlq7P9dzZ133tkgON511107fLvtKlrb1ULj6Vak3OuI7amrl+8ANCQABKCmon+10sH+YYcdVvR/1tYTv0MOOaToJy3EvKLWQVODJnRnjftZa4s4KS4/6Y1BC1oKjdo6Kmd7jBw5sv7xCy+80OrXRW238uZza6+9dtWXrTTv1vTfV22Nm8CVmvp15Hrs379/MZBC3GL/ioFGjjvuuPTMM8/U908YwXt89+XrMUSzzGjG3F6lILC0XZQGB2lJeU3JjrL11lunz372s8WgLRGqRI20K6+8skvt/13RVVdd1WBbi0GgqqEt221XETUYW6N8+479YUVqanfE9tTVy3cAGtIEGICaeuSRR4o+1kq39mg8CmJ3GeWvPNCoNNJxYxMnTmz3e0XT0PLmkbvttlurXlNrm266af3jCG9jQIXWuOeeexrMI7e+oMprLZX69uvs9Rg1tGIfLf+uS6FKrIPyJtwxevGKiD4MS+bPn18092/JW2+9VTSX7gzf+9736gcu+MMf/lDUbutK+39XE2FQeUga/fO1p8boim63XUUMbtXa38uSCP/Kax93xe1J+Q7QveR1NA1Al1Nq1hhi5NPW9oXUVHOhqHEQNUC6g/JaXtHMsaWTthVptta4FlhrRp2MvuZqLUbpLD8xb6m5bYganuVNvWPgl9zEIDclcZJfOpGu9nqM7ztqOMbtu9/9bovzipFUywP3UhgZNXHLT/ZbE4CFa665pv79Y2CTkhi8pDzQaM3FgfZeQKiGqLH4ne98p/7/X/rSl1rsY60j9/+u5itf+UqD7ydqsrZFtbbbriKCvdbUyItmzU2F/11xe1K+A3QvAkAAaipGzSyJZlnRd1hbRKfoMSBIedPD7qK8eVScDD/33HPNNv2K/g7bq3FQ1FKTsxtvvLFVtbjKQ5r21LyMWlPlAd5PfvKTFk9c4+T/jTfeqP9/NB3PyW9/+9t0//331///iCOOqG/SXu31GE2KS7Vvf/3rX7e4bLGOox+1xjUTQwzOUxK14Frq8yvmdfrpp9e/f/l6X3311dP73//++v//8pe/bHEwkPPOOy91pmOPPba+78YYaCKWuavs/11FrOMYLTkG5CjZb7/90s4779ym+VRzu61GObai4j1jtO/mRD+gsT9X2t9qtT0p3wF6FgEgADV18MEHp9GjRzeoCRIduLf2pGnChAkNmjJ1pzAoBi8pd/nll1ecLoKPOGluy2iolQazKO9XrbmgNcKL8lFom1Nq9hgeeuihdtXgPOaYY+ofP/HEE+lHP/pRk9NGDbivf/3r9f/fZZddlhswo7uaPn16+ta3vlX0J1c+yuc3v/nNmq3HCF5KJ/nR7DgGTWhONNssDcoRHfOXN9X9zGc+kwYOHFg8jrDlpJNOanZeEf499thjxeNoPhwBWrny/8eyxUjHTYnRvx999NHUmeIzxIAgJaXP1hX2/64Q/EUN76i1Vj5Se4RW0XdiW1Vzu61WObaiYtuJ8q8p8VtX2gY22WST5WoA1mJ7Ur4D9DB1AFBjv/3tb6PqT/2tT58+dccdd1zd448/XnH6d955p+73v/993VZbbdXgddtuu23dokWLGkx7/fXXN5hvY+XPjxw5stnljPctf78HH3yw2enHjh1bP+0ZZ5xRcZpNNtmkfppBgwbVXXXVVQ2enzJlSt1BBx1Uv/y9e/eun3727NkNpo3lKV++xYsXN3j+c5/7XIPnTz311LolS5bUP//mm2/Wfec736lbaaWV6t+vNO3o0aMrLv8555zTYJ4bbrhh3T777FN31llntXodhF122aV+mviM3/rWt+pmzpzZYJrYHsaPH18/Xa9everuv//+FVqnJaXPHLdrrrmmVa9p7fzGjRtXt99++zV523PPPes233zzBt933Pr161d33XXXLTfvaq/H/fffv/75IUOG1P3qV7+qW7hwYYNpZsyYUXfmmWfWDRw4sH7aE044Ybl5xXovX7YJEybUvf322w2mmTZtWt0xxxzTYLovfelLy81r2bJldTvttFOD9X3yySfXzZo1q36a2N/PPvvs+s8Y+1A11mOss9J8vv71r7fptYcffniDz9bcdt+R+39Lz7dFbLfly93Utr333nvX7bDDDnXDhg1b7jsZOnRo3X333dfke7RUblRzu21NOdbW76+l5f/qV7+63Heyxhpr1F199dUNpnvrrbfqjjzyyAbTNbVtV3N7au330hPLd4BcCQAB6BARYjQ+GYrbqFGjimBvr732qtt5553rNt544wYnLaXbu9/97rrnn39+ufl29QDw0ksvXe6zRPiwxx571G266aZFCFT6+9e+9rUGAUdbA4D4fspPhOK25pprFu/1nve8p65///71f19llVXqrrzyygbTbr311sVJfbmpU6cuF1zF7dBDD231OgiTJ08uwqnyecRn3W677ep23333uo022mi59/j+979fcV5d4QSx8ffc1ttqq61Wd+2111acd7XX45NPPtkgIInb4MGDi+8+9rstttiiwXYXt/XWW6/YHxpbunRpg2AmbrENl/bhCO0bby/x3Ny5cyt+1kmTJtWtuuqqDaaPz7799tvX7bbbbkX5UPp77C9HHXVUpweAL7/88nLrp6ntviP3/1oFgO25ReD91FNPNfseLZUb1dxuW1OO1TIAPPjgg+v69u3bIAiM0Cy288af8dOf/nST71nN7am130tPLN8BciUABKDD/OEPfygO6NtyIhlhxxe+8IUGtYK6UwAYjjjiiBY/Z5xwRS2v8hO4tgYApe+4/ESz0i1OFB977LGiBlacMJc/V+k7uuCCC5Y7SW3rCWJ44oknGnxnTd1iHqecckqT8+nOAeBmm21W1I6JmkvNqfZ6jJpCjddhU7eY19NPP93kskUtrFj/rZnXgQce2OJnje26cXhQKeR48cUXi7KgswPAEPt74222s/f/zg4AY3vddddd6y655JIGNVab0ppyo5rbbUvlWC0DwHjviy66qOLFrcb7y4IFC5p932ptT639Xnpi+Q6Qq17xT2c3Qwag55gzZ07Rr1mMgvrwww9XHK0xRvndcsst04EHHpiOPPLItPbaazc5vxgs4oEHHigex2iz++67b5PPx3z32muvJucVHavffPPNDfqhiv6kmnLHHXekefPmFY/f/e53p3HjxlWcLn5qo/+nGMQg+rNqPEry//zP/9T35RadwJc6qd9nn32KfsdKZs6cme66664GneuXd+JeEn0sRh9QjftMi5Eyoz++6IdxwIABxd9itN2DDjqofvTZ6K/x9ddfX26e0b9W9HkWAz/E51lrrbXqB2RpaR00Xv9nnHFGMRBGDApTLkaajVE/TzjhhGJ0yaa0ZZ2WxHotjUo6fvz4Bv1Stkf5/FoS/eaNGjWq6N8v7lur2uvxqaeeSmeeeWYxyMqMGTOWe78YRfWTn/xkOv7441s1+vDVV1+dzj777AYDmpS2gRj45eijjy76AG2NWKfR9+MVV1zRoExYbbXVimU6+eSTi33x3//+d3rhhRdWeD3GKMal7yr2wcb9q7VmkIryQRaa2+47av9vbfnQGg8++GCrRq2N+cf2HX39xXdY6iOyNVpbblRzu22uHGvr99fS8sfgPKWBOmIE7XXXXbcYsfvEE09crv/I6PMvRk6OfaYl1dqeWvu99MTyHSBXAkAAOk2cRMcJUgwoECcecYIwYsSItNFGG6V+/fplt2bixCpO2OLEKDpoHzt2bJOhYTVEUBLvFyexERrFCWgl8f1HGBsj0W699dbNhp7V/C5ipMpXXnmlflTYWL62BAg9RbXXY3z3kyZNKgKeCLBjIJII2SNIaY/XXnutWMbYh2NQgQiCVl555XbNK+bxzDPPFPcRmEagURohubvr6P0/N9XebjvTlClTivIvfudi+Zvap7vr9qR8B+iaBIAAAAAAkLHenb0AAAAAAEDtCAABAAAAIGMCQAAAAADImAAQAAAAADImAAQAAACAjAkAAQAAACBjAkAAAAAAyJgAEAAAAAAyJgAEAAAAgIwJAAEAAAAgYwJAAAAAAMiYABAAAAAAMiYABAAAAICMCQABAAAAIGMCQAAAAADIWN/OXgDa5q677koLFy70tQEAAAB0YwMGDEg777xzh7yXALCbifBvwYIFnb0YAAAAAHQTAsBubODAgaknqKurS0uXLk19+vRJvXr16uzFoQtZtmxZ6t1bTwb8h/ICZQY9ocxYPG1aLPx//tCrV+ozbFhnLlKW20Z32iboAHV1/zn2tG3QYNNQXtD2MmNR+e94BxEAduPwb4899kg9QdR4fOmll9KYMWN6TOhJ68yePTsNHTrU10U95QXKDHpCmfHMlluluvIWIf36pbXPP68zFyk78+fPT4MGDersxaALWbx4cXrzzTfTqFGjUr9+/Tp7cehClBe0p8y4d968Dg8BVZ0BAAAAgIwJAAEAAAAgYwJAAAAAAMiYABAAAAAAMiYABAAAAICMCQABAAAAIGMCQAAAAADImAAQAAAAADImAAQAAACAjAkAAQAAACBjAkAAAAAAyFjf1APMmTMn3XPPPenZZ59NM2fOTAMGDEjrrLNO2nHHHdOYMWMqvuaqq65KTzzxRLPzPeKII9JGG2203N8XLVqU7rzzzjRp0qQ0a9asNGLEiLTVVlulbbfdNvXp06dqnwsAAAAAUk8PAB999NH0wx/+sAj+GrviiivSwQcfXAR5jd1///3pmWeeaXbe+++//3J/e/nll9O3vvWt9NZbbzX4+4033pje9a53pW984xtFIAgAAAAAHSHrAPDVV19NZ555Zpo/f35ae+210957751Gjx5dhHO33HJLevHFF9OVV15Z/G2PPfZo8NrXXnst9e/fvwjsmrLBBhs0+P+8efPSKaeckqZPn55GjRqVPvShDxXzfuWVV9K1116bJk6cWCzPGWecoSYgAAAAAB0i6wDwuuuuK8K/ddddN51zzjlF09+SffbZpwjrnnzyyXTZZZelD3zgA6l37//fJeLcuXOLGoPjxo1L22yzTavfL0K+CP9WWWWV4v3Ka/ptv/326Utf+lJRq/Af//hH2m233ar8aQEAAACghw0Cct999xX3Bx10UIPwL0RffIccckjx+O23305TpkxpUHMwjB07tk3vd+uttxb3H/7wh5dr5hs1ELfbbrvicfQPCAAAAAAdIdsagIsXL07vvPNO8XjDDTesOM1qq61W/3j27NkVA8DoC/Dhhx8uQsKVVlopvfvd70677rprGjhwYIN5RTPfqP0Xdthhh4rvt8UWW6R//vOf6amnnkrLli2rr3EIAAAAALWSbQAYYjCOxkFfucmTJ9c/jr76yvv/KzUhLoV6JVF7LwYPOfHEE9Mmm2yy3Lyi38C11lqr4vutv/769aMERz+ETS0XAAAAAFRLtgFgv379mu2/L2oH/uY3vykeR5BXKQCM8G+jjTZKe+21V1p55ZWLkC9G843agKeddlo6++yz65sJl0YZHjlyZJPvOXTo0PrHMX1TAeCCBQvSwoULKz4XNQdDXV1dMV1PEIFp+T2U1/TtKfsBraO8oDnKDHIuM2L7pnqWLl3qO6XRPrakwT0oL1ihMqOuLnW0bAPA5kST3gsuuKAI8oYMGZImTJjQ4PlSE+Ddd9+9eC76Cyw17d1zzz3T17/+9eK1F110UfrOd75TPDdnzpzivnHT4HLxXiXNHWhGf4STJk1q8aDkpZdeSj3J66+/3tmLAHQTygsg5zKj7v8uCP/nD3XpzTff7KzFgR5lxoz/380UwIqUGcuiglgHdwvXowLAadOmpV//+tdFP3xhvfXWS1/72teKATrKffKTnywCus0337w+/CuJmoJHHHFEESA+8cQTadasWUXtwPJgrinlz0VT4aZErcLVV1+94nPRJ2EsWyzXmDFjUk8QnzcOzOM7ae57o+eZN29eGjx4cGcvBl2I8oLmKDPIpcx4sXfv1KDeQK9eadSoUZ23QBmK1jiNBxGkZ4taPHEiP2zY8NSvX486jaYFygvaU2ZM6YTWBz2i5IomEX/84x/T1VdfXRzoDRo0qBgB+IADDkh9+y7/FWy66abNzi+CwVIz3DhojAAw5hnmzp3b5Ovmz59fsTlwY1GLsKmahKWBQ3r16tVsbcMcxYF5T/vMtLxv2yaoRHmBMoOeVmZE9zdUz5IlS3ynNLGv9bVtoLxgxcuM6Lqjg5sBZx8ARkD3ve99r2hWG+HZPvvskw4//PA0bNiwds+zfPTe0uNSH4LRt1+EjJWuIr/xxhvFfYSOrtICAAAA0BGyDgBnzJiRvvnNbxbBWzSrPf7444tmv825++6706233lqM5Pu5z32u4jSlvveiFl6pqe6GG25Yf7Xw2WefrViLcOLEicX9BhtssFzTYgAAAACohY7tcbCDXXbZZUX4F33lnXnmmS2GfyGqZj766KPp5ptvLgb6qOS6664r7jfeeOP6gT2iRl9p/rfffnvF/v/uvPPO4vF73/veFfpcAAAAAJB6egAYHXHeddddxeMvf/nLaaWVVmrV67baaquieXDU5DvrrLPSW2+91SDEu+KKK4qAMHz0ox9t8NoDDzywuI+gL2oRli/LeeedV4wuPHz48GIkYQAAAADoCNk2AX7qqaeKQTeiv72oCdiSY445Jq255ppF331f/OIX0xlnnJGefvrpdPTRRxc1+2KQj2j6G338hX333TeNHz++wTx23XXXYpTee+65pxgl+E9/+lMaOXJkevHFF9OcOXOKZZkwYUJ9rUEAAAAAqLVsA8BXXnmluI+afKUae80pH703gr1oMnzxxRcXQeLkyZPrn4umvgcddFAxmEglJ5xwQtF/4F/+8pf02muvFbcQIeJnPvOZtMUWW1Th0wEAAABADw8At9566/Ttb3+71dNHaFduo402KkLAd955pz5MjNp8a6yxRrPzicE9jjzyyHTwwQenl19+uaiFuOqqq9YPFgIAAAAAHSnbADCa88ZtRUWffXFrqwEDBqRx48at8PsDAAAAwIrIdhAQAAAAAEAACAAAAABZUwMQAAAAADImAAQAAACAjAkAAQAAACBj2Y4CDADQ09xwww1p2rRpqTsbPXp02n///Tt7MQAAsiIABADIRIR/U6dO7ezFAACgi9EEGAAAAAAyJgAEAAAAgIwJAAEAAAAgYwJAAAAAAMiYABAAAAAAMiYABAAAAICMCQABAAAAIGMCQAAAAADImAAQAAAAADImAAQAAACAjAkAAQAAACBjAkAAAAAAyJgAEAAAAAAyJgAEAAAAgIwJAAEAAAAgYwJAAAAAAMiYABAAAAAAMiYABAAAAICMCQABAAAAIGMCQAAAAADImAAQAAAAADImAAQAAACAjAkAAQAAACBjAkAAAAAAyJgAEAAAAAAyJgAEAAAAgIwJAAEAAAAgYwJAAAAAAMiYABAAAAAAMiYABAAAAICMCQABAAAAIGMCQAAAAADImAAQAAAAADImAAQAAACAjAkAAQAAACBjAkAAAAAAyJgAEAAAAAAyJgAEAAAAgIwJAAEAAAAgYwJAAAAAAMiYABAAAAAAMiYABAAAAICMCQABAAAAIGN9O3sBAACgJ7jhhhvStGnTVng+2y9ZkvqU/X/p0qXp1ltvTR1h2LBhafz48R3yXgBA9QgAAQCgA0T4N3Xq1BWez3Z1dcv97c0331rh+QIA+dIEGAAAAAAyJgAEAAAAgIwJAAEAAAAgYwJ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", "text/plain": [ - "" + "" ] }, "execution_count": 6, @@ -326,7 +326,7 @@ }, { "cell_type": "markdown", - "id": "d57e39e1", + "id": "82a35566", "metadata": {}, "source": [ "See {doc}`guides/plotting` for shading, confidence-interval overlays, theoretical\n", @@ -338,7 +338,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "11af0077", + "id": "8e7ae270", "metadata": {}, "outputs": [ { @@ -382,7 +382,7 @@ }, { "cell_type": "markdown", - "id": "ad24a1df", + "id": "66a409bf", "metadata": {}, "source": [ "Full details in {doc}`guides/regression`." diff --git a/doc/_build/jupyter_execute/guides/confidence-intervals.ipynb b/doc/_build/jupyter_execute/guides/confidence-intervals.ipynb index 44a4c6c..7f538fb 100644 --- a/doc/_build/jupyter_execute/guides/confidence-intervals.ipynb +++ b/doc/_build/jupyter_execute/guides/confidence-intervals.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "6b92c300", + "id": "f78cefd0", "metadata": { "tags": [ "remove-input" @@ -19,7 +19,7 @@ }, { "cell_type": "markdown", - "id": "abcfc89e", + "id": "a4a393d2", "metadata": {}, "source": [ "# Bootstrapping & confidence intervals\n", @@ -33,7 +33,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "9de39318", + "id": "13fa14bc", "metadata": {}, "outputs": [], "source": [ @@ -51,7 +51,7 @@ }, { "cell_type": "markdown", - "id": "2feca301", + "id": "ec8d9dc1", "metadata": {}, "source": [ "## Confidence intervals — three methods" @@ -60,7 +60,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "4c98a811", + "id": "32852d4c", "metadata": {}, "outputs": [ { @@ -106,7 +106,7 @@ }, { "cell_type": "markdown", - "id": "535eb1f0", + "id": "6f620e86", "metadata": {}, "source": [ "Distribution objects also expose the getter as a method:" @@ -115,7 +115,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "fbbf65ea", + "id": "778ea28b", "metadata": {}, "outputs": [ { @@ -152,7 +152,7 @@ }, { "cell_type": "markdown", - "id": "55554090", + "id": "286cc0b6", "metadata": {}, "source": [ "## Visualize the interval" @@ -161,7 +161,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "ee541d51", + "id": "e85845c6", "metadata": {}, "outputs": [ { @@ -169,7 +169,7 @@ "image/png": 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", "text/html": [ "
    \n", - "
    " + "
    " ], "text/plain": [ "Figure({\n", @@ -233,7 +233,7 @@ }, { "cell_type": "markdown", - "id": "10ac42c3", + "id": "39937926", "metadata": {}, "source": [ "## A confidence interval for a proportion" @@ -242,7 +242,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "84da60b7", + "id": "34da93a9", "metadata": {}, "outputs": [ { @@ -288,7 +288,7 @@ }, { "cell_type": "markdown", - "id": "68d7bf68", + "id": "5e838125", "metadata": {}, "source": [ "## A confidence interval for a difference\n", @@ -299,7 +299,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "27b0d352", + "id": "2cfef7cf", "metadata": {}, "outputs": [ { @@ -341,7 +341,7 @@ }, { "cell_type": "markdown", - "id": "a5e6b357", + "id": "947b248d", "metadata": {}, "source": [ "```{seealso}\n", diff --git a/doc/_build/jupyter_execute/guides/hypothesis-testing.ipynb b/doc/_build/jupyter_execute/guides/hypothesis-testing.ipynb index dd30961..16763bc 100644 --- a/doc/_build/jupyter_execute/guides/hypothesis-testing.ipynb +++ b/doc/_build/jupyter_execute/guides/hypothesis-testing.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "d5b01ce5", + "id": "3d1348b8", "metadata": { "tags": [ "remove-input" @@ -19,7 +19,7 @@ }, { "cell_type": "markdown", - "id": "be0ff29c", + "id": "6765a645", "metadata": {}, "source": [ "# Hypothesis testing\n", @@ -37,7 +37,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "d8682ec9", + "id": "257a9b85", "metadata": {}, "outputs": [ { @@ -93,7 +93,7 @@ }, { "cell_type": "markdown", - "id": "3eb2ecb3", + "id": "17b01678", "metadata": {}, "source": [ "## Shade the p-value" @@ -102,7 +102,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "73325766", + "id": "7f34a0dc", "metadata": {}, "outputs": [ { @@ -110,7 +110,7 @@ "image/png": 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", "text/html": [ "
    \n", - "
    " + "
    " ], "text/plain": [ "Figure({\n", @@ -157,7 +157,7 @@ }, { "cell_type": "markdown", - "id": "66844467", + "id": "a36e2be4", "metadata": {}, "source": [ "`direction` is one of `\"right\"`/`\"greater\"`, `\"left\"`/`\"less\"`, or `\"two-sided\"`.\n", @@ -171,7 +171,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "185fa827", + "id": "1b0884f0", "metadata": {}, "outputs": [ { @@ -218,7 +218,7 @@ }, { "cell_type": "markdown", - "id": "d41ca0a7", + "id": "462fa6a9", "metadata": {}, "source": [ "For a one-proportion test you can also *simulate* draws directly:" @@ -227,7 +227,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "dea7cb9f", + "id": "c1771566", "metadata": {}, "outputs": [], "source": [ @@ -245,7 +245,7 @@ }, { "cell_type": "markdown", - "id": "19440cbc", + "id": "2b496270", "metadata": {}, "source": [ "## Available statistics\n", @@ -266,7 +266,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "fdc5d6b3", + "id": "dcc9e0c3", "metadata": {}, "outputs": [ { @@ -315,7 +315,7 @@ }, { "cell_type": "markdown", - "id": "d5c985f6", + "id": "8a0b81f8", "metadata": {}, "source": [ "The one-line wrapper is `chisq_test(gss, response=\"finrela\", p=uniform)`.\n", @@ -331,7 +331,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "b9276f8e", + "id": "fa079f5f", "metadata": {}, "outputs": [ { @@ -380,7 +380,7 @@ }, { "cell_type": "markdown", - "id": "67193c64", + "id": "5309eecd", "metadata": {}, "source": [ "The function receives `(response, explanatory)` as numpy arrays (`explanatory` is\n", diff --git a/doc/_build/jupyter_execute/guides/messages.ipynb b/doc/_build/jupyter_execute/guides/messages.ipynb index dd52f93..ce477c3 100644 --- a/doc/_build/jupyter_execute/guides/messages.ipynb +++ b/doc/_build/jupyter_execute/guides/messages.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "0ef2fe67", + "id": "f72f12b9", "metadata": { "tags": [ "remove-input" @@ -17,7 +17,7 @@ }, { "cell_type": "markdown", - "id": "7bc9b7cc", + "id": "6cd99a2e", "metadata": {}, "source": [ "# Helpful messages & errors\n", @@ -43,7 +43,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "a17e6252", + "id": "b3ea5322", "metadata": {}, "outputs": [ { @@ -68,7 +68,7 @@ }, { "cell_type": "markdown", - "id": "9b9e534a", + "id": "c3cc0dea", "metadata": {}, "source": [ "Pass the wrong kind of object and the error names the fix:" @@ -77,7 +77,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "3ee652f5", + "id": "229af082", "metadata": {}, "outputs": [ { @@ -101,7 +101,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "129e3bda", + "id": "1269efaa", "metadata": {}, "outputs": [ { @@ -125,7 +125,7 @@ }, { "cell_type": "markdown", - "id": "fe695854", + "id": "2e425ae9", "metadata": {}, "source": [ "## Informational notes (and how to silence them)\n", @@ -138,7 +138,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "c67e48fd", + "id": "f3207408", "metadata": {}, "outputs": [ { @@ -166,7 +166,7 @@ }, { "cell_type": "markdown", - "id": "4804b53f", + "id": "3f23b2d1", "metadata": {}, "source": [ "These notes are designed to be **easy to turn off** once you know what they mean.\n", @@ -176,7 +176,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "6ab8b088", + "id": "16fb9774", "metadata": {}, "outputs": [ { @@ -197,7 +197,7 @@ }, { "cell_type": "markdown", - "id": "d03d2970", + "id": "9f1dd06f", "metadata": {}, "source": [ "Or silence every moderndive note globally with a standard `warnings` filter:\n", diff --git a/doc/_build/jupyter_execute/guides/plotting.ipynb b/doc/_build/jupyter_execute/guides/plotting.ipynb index 19f25cf..2ae442e 100644 --- a/doc/_build/jupyter_execute/guides/plotting.ipynb +++ b/doc/_build/jupyter_execute/guides/plotting.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "12170058", + "id": "259a0fb0", "metadata": { "tags": [ "remove-input" @@ -19,7 +19,7 @@ }, { "cell_type": "markdown", - "id": "4d33fa9c", + "id": "5d94614e", "metadata": {}, "source": [ "# Plotting: plotly & plotnine\n", @@ -42,7 +42,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "0b999025", + "id": "e04f07a5", "metadata": {}, "outputs": [ { @@ -91,7 +91,7 @@ }, { "cell_type": "markdown", - "id": "894f35df", + "id": "29cf056e", "metadata": {}, "source": [ "## visualize() returns an InferPlot\n", @@ -104,7 +104,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "f8cf16cc", + "id": "13b64191", "metadata": {}, "outputs": [ { @@ -112,7 +112,7 @@ "image/png": 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    " ], "text/plain": [ "Figure({\n", @@ -168,14 +168,14 @@ { "cell_type": "code", "execution_count": 4, - "id": "a25b42fe", + "id": "740d6044", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -195,7 +195,7 @@ }, { "cell_type": "markdown", - "id": "5a0845d4", + "id": "82039d30", "metadata": {}, "source": [ "### Keyword form\n", @@ -206,7 +206,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "153628b2", + "id": "44f21dbb", "metadata": {}, "outputs": [ { @@ -214,7 +214,7 @@ "image/png": 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", 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    " + "
    " ], "text/plain": [ "Figure({\n", @@ -269,7 +269,7 @@ }, { "cell_type": "markdown", - "id": "aa1bcba9", + "id": "35205d00", "metadata": {}, "source": [ "## Shading p-values" @@ -278,7 +278,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "b2775ed4", + "id": "a704c911", "metadata": {}, "outputs": [ { @@ -286,7 +286,7 @@ "image/png": 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", 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    " + "
    " ], "text/plain": [ "Figure({\n", @@ -342,7 +342,7 @@ }, { "cell_type": "markdown", - "id": "9267a666", + "id": "6ac353c6", "metadata": {}, "source": [ "## Simulation vs. theory overlays" @@ -351,7 +351,7 @@ { "cell_type": "code", "execution_count": 7, - "id": "2bf00033", + "id": "3b89e436", "metadata": {}, "outputs": [ { @@ -359,7 +359,7 @@ "image/png": 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", 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2f+lGecCAh3tB0mdpZ8AMMMD4YUjOtEsCY+ArZ2HlbL1sk0luApLHkkwSVEkbJSByd3NTh0r/PfPK6LybJE3th0ztDKmc2ZUPHXd2a6fykpkEV089dLt6HuzUzpzKtuIm+br7kna2zpiuQvkgDHz0TuNqsY9yBl0+dElwXU7ruxpXboSU14CLwQXyQVK+Cl+wbAMMWj9IhucuRshD3iTB1FNaX7i757pIHfrdf5vav+/QSfVYlpmcNZbj5YyzPBY2ldVC8pUPFF07toS0oXqVCvDQzp7K9oKm1s0boqv2IcC4T15r4ik+4VExxs0WeZQPfZKxfFCV14csy2vsuf53yyJWad/4qIUrs05tm0G+CTGmlfdR6Tf5puFKEj5QgAI6FGCVrCegu4BXmn7/nbdgze/j1FnQj157Gg9rZ/rkjJJ87fnw4A/VH2lJV5LJVzurKumzsrPlIW+Ss62yIgGPPJZ1ytKCMxluSYZUk7OFcmnF+2O+h3wdKnkb71qXZVOncxdyPi/v+gAAEABJREFUA5Ab6la77hDj9cwXLkVety//hgB/X7UqX6OrBW320+/LMUE7E5l/2rr7oLbnv/8SJMkZYpnkTLmcJZyvnamU/hg1/mfIqBqS2tR2d+/USpLj6x//RHvtbPFL70/GnIV/q2ur1Q5tduL0BW0OyHWlzboNgHGSywFkx+UrQ3CdvHImUm7yk+1lmV4Z/DCkjTLJ2eKdy6apmyXl2kwZGUTyNrUfLl8JUBsVcBNUvdpVJSvIUFRqoZCZBCu9e9ysLh/o9dir6lpzubzh0DXXmxdyeN5mH2/vvOX8Cyu1gKnzfS9APkjKhxf5mn+V9uFM0mTn5I5cIcuFTcYPXpciogpLYvL2i+G5eVSrXKHAY3y8vWAeC68iA9wCC79mY91auf0XfqWPr9ltttVj2jda8tqT+xbyZ2q8fv7UuevPwudPZzAYIMfLB+/827lMAQpQwFkFdBnwSme4urqoM7QyUsE7I/pj2S+j80YHWF2KAeFdtD8Aku+1k6uLy7WbyrQ+5YcFarglObsnXzH+Pv1DrP1jHPKf6StpAanp6eoQ45lHtXJl5n7lxjG5qefKpgIfXF2ub6d83f7rlHeRf+p7V5cCj8+/sZ72R3/go73VpjVXbqwztd31a1fFil/H4N7bO6rjl63ZBhn667aHX4bxeke5jEJ2fvDKUyhouqtHe9mNuITc619rVa+o1s05k7PEQ5+6V12CIGecJaA3tR+MQUZB/eV2pb/StG8Aiqvvx68PxDsj+qtvJORac7mBTW5ckmubizu2qP1yHfiL70xQw/y9OvQRyFf1cqnE28P7FXXYVfuMQbHrlTP2V+0s4cq+K9/ayFnnwg61lEVh5RW33WAwFJekTPsTElNgPKOePyPjtuJe7/mP4TIFKEABCgDXR0E2VsnUvg4uqAryRm8MGv8t5Fq/go4r7bbSnvE1fhX548S31FeMN9StDjlLYwx0rq1PViHtzZ+uasVQtVrQWUHj2bGKFUJUmpLMJHBt2rA28k/5r8stKi837QOJ7Jeb8+SxJO2WERAkgNn21xR1VlU+1EiQ++eKTZIVGtTJPZN9R7d2eKB35+sm+XpeEhrraqkxaA0GgxSjLkHIQQ5M7Qe5uUwOLOj61kvh0bILlSte3V8FPQ/ctGBSvt2Qr+HlOtKx7w9RZ+1kxIW4hCSVj3GWpX2zYFwu7nHdlV+gG/v+UDzRt6e6LEa+4pcgv7hjjfuNbSvsrKwxXXGPcnPqce2MvlwuIF/ZF5beUhaFlVfYduM3Kcbrza88RbQPD2mFHXLddlP6Ssa7vqydRZbLiPJnYHz+lNU9f55cpoDdCLCiFCiDgO4C3lvvH66GCSrophC51lDaKnchy6OlpkphIeqrZPmDYyxDvrqX6x2N64U9ylBUsi//GWW5vvbk2au/gpQAXtKZco2d8WvwOX/+jfx/AC9pX+0vW7MdcnlBaEigZGeVSUaRmDV/lSqrcYNa6tHUdq/Xgi05Xg4yGAyQM+FyvbGsH70y2oSMbiHrU2cukIerJgk4jF/rS8AuO/+85hexZDQE2V7WSa5xlg8+8gMoEnCZ2g8SuMnZSrkcQoI5Yz0ytQ83cvmGrBsvRQnw95FV5L+2WjbIB4D1W/fJoprka/2eXdqgxZXrnMVBdgQF+MkDLl25LECtFDMz3qDp7p57PbUkl7oZXWW9qElGM/hhzlKVpOkNuf2vVkowk+exBLtyKYW07cNXBxR6tCUtCi20gB0S5MvrTa6DLheU+yMV8mFWku7/97+RYmSUka1XRhyRfcapJH11U7MG6jC5MVAtXJn9vnitWmrWsI565IwCFKAABUwT0F3AK3/c5Ca13v1fV2OGyriTMv6qjEUpQ/TIHxtTvnY3rfkFpzKOAfzca19AhsuSa3BvfWC4Gs2h4CP+2yo3j8iajCMqx8r4n3c+/hrkK2nZnn+SYbTkxjwZ6khGcPhi6pz8u/OW5Y/qs/3uUjeuPTn8UzWsldzBL792Jole076WNhhyz0bKujkn6Q+5VlcmqaeMA9vhnueVhZxxl5tjpDxT271g2Ub0ePgVNfqGjHE6e8FqfPjlTMkCj93XQz0OePgOdSZT/MRxzp9r8PMfKyHPCzl2177cGwx7dL5JpZMg8pUPp+CbnxdB6ifXpKqMSjCTu+KljfJck2HO5Pn27pVht9568XGVU0n6YcSgvuoYGVpK+lYCl0GvjFFuctbWeIZObpySgE+GXJuiBfhyI6Ckj4mNhzz/ZFxVuZRh2ZptkBEp5DpbCcAb1Kmu8pdvEGRBnmfyWpGxV+WSBdlW2NT6xtxg6r3RMzDxu3nqEpy+z7ynjAs6RoJ+cf1+9lJ1k+P9A99Vz0X5BcTQkKCCDrlu2469/0JsZfxbaVfHe4ap4cEk4bTRL8N445qsXztZ0uLasvKvr9c+nMlrUvpO3nv+e709mpesfp1q6rIXeR7LkGHSh48O/Ui1NS/RlYWS9NWTD92ujpJxkyd/P18NDSeX/sjrQD4k9urWVu3njAIUoAAFTBPQXcD7yZvPQO6ElkBQgjr5IyLBgKw/2qcbZo5/E74+Xle1Tu42N25wuXKtqsFgMG5SjwZD7nr+tFd2qIf8M7kDvUPrJio4kR9E+G3RGi0Y6w7ZJulyc5Kl3Cl/nq8//6gazkp+LlWOlRuebm7VGMbA0GD47+g3tLQ9u7TGH3+tw0gt6JNAR3I0GHLTGAy5j7JtyJP3YuhTfVTgLOMGyx9Cuc5PrhPuqZ35kzQyFdZ+2SeTcb8smzpJECaT1FMCd/n6WcodpfWVMQ9T2y2jZcjZMRl9Q8Y4lWD32MnzkF9ya9eqkcpObiT8ffpI9O5xsxqe7IMvvseo8T+pM//iaDyrKEPMTf/iVXWGe8nqrSoglFEmjL/gZTD856cyLmh2Jc3W3Ye0gG8F5Lm2eNUWuLm6om/vLpCh64yBihxuaj/Ic+WrD5/XvurOUH0rwbqUIaMdyAcUyUsmCXZlyDIxleBz1PifIWPGhgQHqiHz5JjPJ83CS+9PVgG9fEga9cZAuLjktk1GtpAhw+R6YXmtyHB+5y5FwGDI3S9lXDvd37sz5BpqGW1AAjS5ydLLyzPvGvmCDj17Phzygx5yg6N8CJIyn3387muzvm7dmJeUJbbzl25Qr6sGWqD4wtP3Y9VvYyFtv+5AbYPxdVVWCy2rIv8b62h8bRgMuXZenu5qKEHpOwl8pd2fvfUsZHQUY4aB/r6Q/pB1+cAhfSjj7Br72GDIzUv2F9ZXsk8mY3tlOSQ4APO++whyzfskLeCV/pcPdvLe+N2Xr6nnp6QzGP7LX9bzT66uLpDnBfjPSQXYbApQIL+A7gLeu2/rgKmfvYy9q75VY8jK9Ysypu2+1TPw1ov91PWwxgZ4e3ngwJrvIYGFcZsEGrJNxq80bpNH+SMl22UECFk3Tl07tFB5yHWkxm0ScH39+ctYOfsL/D79Q8gd+2++8Dhk7FLJw9/PRyUtqHy5FnLWlHfV2L9S900LJ0FuDpM/UnJsYICvOlZmdWpWUePQbl40GTIywKaFE2UzJPCTtBLgqw3aTAKwIU/cgz0rpmPh9x+r/Ldox8lQRNruvP+FtV/qJXm+99ITeWmLW5DrRuWY/NN6NZbrW5BypU7GPCR/U9otx6m2/jlJ/UFf/usYbNKWjWd38+cnwYU8DyTolBEipB/EsVm+4dYkcJJxfGW/jFEsJvILXlJnGeHDmF9hjw/e1UX1v6TPP8loDe+/8iSMZ2KNx0ubTekHSd/jlpsg46LKeK8SvOxa/g0kULx2KCx5bhpvHJPn+qdaUBUU6KeeG9J+MZLjxUnGGr62ThJEi5FMGxZMUIG6fCiU9ox9f4hU5apJ2iDXUMuNajIetASdsya/A3luyDG3tm9xVXoJysVD8pa+kzZJmcag+6rE16zIc1zyzD9JG6W98q2F8Trs/Idd+7oqq4XkLeMHy/NZlq+d5IOk1E+eS7LPaCfPdWmzjEoirznpC/kQJmnyT9LP25d8jT++HaneM8RIxt2VPI1n+o3pxU36SSbJWz5UXdteY1oJdqXf5aZXeS+R9wl5b5RvGoxpjHUtqJ/lNSF1MablIwUoQAFnFtBdwGvsDPmjLNemNqxXA/Joyh9X47HmeDQYDJBreeXsXklu5pGypa5y6YXUPX+AK/sKmgK0AFrGkXV3zx3ntKA0xm2SRoIIyV/O4Bi3l+bR3MeUpN1yZkz+oMvYtMaRJgqqjzwPJMCT9hbWD8Zya1WvBGuZmNoPUje5bEHaKmekC2qjcZt8aLj2uS7tFyM5XsyMaa99NBgMKjiX8Z6v3VfYupTXuEFNFBR0FnSM5C3PU2lTQfstvc2SFoXVXfpMrhWX15yUX1g6H29PdbOlvGcUlsa43WAoWV9JgCvvJfI+YcyDjxSgAAUoUDIB3Qa8JWsGU1OAAhSgAAVKLcADKUABBxdgwOvgHczmUaAsAs/2vxvvjuhflix4LAUoQAEKUMDmAgx4Te0CpqOAEwrINe5y3bUTNp1NpgAFKEABBxJgwOtAncmmUIACFLCGAMugAAUoYG8CDHjtrcdYXwpQgAIUoAAFKECBEglYKOAtUR2YmAIUoAAFKEABClCAAhYTYMBrMVpmTAEKUAAAEShAAQpQwOYCDHht3gWsAAUoQAEKUIACFHB8AVu2kAGvLfVZNgUoQAEKUIACFKCAxQUY8FqcmAVQgAKmCzAlBShAAQpQwPwCDHjNb8ocKUABClCAAhSgQNkEeLRZBRjwmpWTmVGAAhSgAAUoQAEK6E2AAa/eeoT1oYDpAkxJAQpQgAIUoIAJAgx4TUBiEgpQgAIUoAAF9CzAulGgaAEGvEX7cC8FKEABClCAAhSggJ0LMOC18w5k9U0XYEoKUIACFKAABZxTgAGvc/Y7W00BClCAAs4rwJZTwOkEGPA6XZezwRSgAAUoQAEKUMC5BBjwOld/m95apqQABShAAQpQgAIOIsCA10E6ks2gAAUoQAHLCDBXClDA/gUY8Np/H7IFFKAABShAAQpQgAJFCDDgLQLH9F1MSQEKUIACFKAABSigVwEGvHrtGdaLAhSggD0KsM4UoAAFdCjAgFeHncIqUYACFKAABShAAQqYT8AWAa/5as+cKEABClCAAhSgAAUoUIwAA95igLibAhSggOUEmDMFKEABClhDgAGvNZRZBgUoQAEKUIACFKBA4QIW3sOA18LAzJ4CFKAABShAAQpQwLYCDHht68/SKUAB0wWYkgIUoAAFKFAqAQa8pWLjQRSgAAUoQAEKUMBWAiy3pAIMeEsqxvQUoAAFKEABClCAAnYlwIDXrrqLlaWA6QJMSQEKUIACFKBArgAD3lwHzilAAQpQgAIUcEwBtooCYMDLJwEFKEABClCAAhSggEMLMOB16O5l40wWYEIKUIACFKAABRxWgAGvw3YtG0YBClCAAhQouQCPoIAjCjDgdcReZZsoQAEKUIACFKAABfIEGCRXv3UAABAASURBVPDmUXDBdAGmpAAFKEABClCAAvYjwIDXfvqKNaUABShAAb0JsD4UoIBdCDDgtYtuYiUpQAEKUIACFKAABUorwIC3tHKmH8eUFKAABShAAQpQgAI2FGDAa0N8Fk0BClDAuQTYWgpQgAK2EWDAaxt3lkoBClCAAhSgAAUoYCUB3QW8Vmo3i6EABShAAQpQgAIUcBIBBrxO0tFsJgUoYHcCrDAFKEABCphJgAGvmSCZDQUoQAEKUIACFKCAJQTKnicD3rIbMgcKUIACFKAABShAAR0LMODVceewahSggOkCTEkBClCAAhQoTIABb2Ey3E4BClCAAhSgAAXsT4A1LkCAAW8BKNxEAQpQgAIUoAAFKOA4Agx4Hacv2RIKmC7AlBSgAAUoQAEnEmDA60SdzaZSgAIUoAAFKHC1ANecQ4ABr3P0M1tJAQpQgAIUoAAFnFaAAa/Tdj0bbroAU1KAAhSgAAUoYM8CDHjtufdYdwpQgAIUoIA1BVgWBexUgAGvnXYcq00BClCAAhSgAAUoYJoAA17TnJjKdAGmpAAFKEABClCAAroSYMCrq+5gZShAAQpQwHEE2BIKUEAvAgx49dITrAcFKEABClCAAhSggEUEGPBahNX0TJmSAhSgAAUoQAEKUMCyAgx4LevL3ClAAQpQwDQBpqIABShgMQEGvBajZcYUoAAFKEABClCAAnoQsK+AVw9irAMFKEABClCAAhSggF0JMOC1q+5iZSlAAQrkCnBOAQpQgAKmCzDgNd2KKSng8AJZWVlYs2aN3UzZ2dkO3ydsIAUoQAEKFClg0k4GvCYxMREFnEMgJyfHboLdNVpgLvV1jp5hKylAAQpQoCwCDHjLosdjKUAB+xBgLSlAAQpQwKkFGPA6dfez8RSwb4GsyEikHT2K5B07kLx1G9JPnLDvBrH2FKAABSws4KzZM+B11p5nuylgJwJeKSm44dAhdFi/Ad2XLcedC//EfXN/x0O/zsbxzl1w4q67cfrxfjj9xBM4fsedOHprV1x8623EL16MrOhoO2klq0kBClCAApYUYMBrSV3mTQG7FNBHpUPDw3Hzps24Z8FC3Lj3H1Q9fx4hMTHwS06Ge2amqqRrUBA8atWEd8uWajJ4eSHz4kXE/v47zr/8Co6074ATd9+Dy599jowLF9QxnFGAAhSggPMJMOB1vj5niymgWwG3jAzUOXoMty9Ziq6r/0b1M2dUXaPKlcOuFs2xqltX/HVHL8zrcy9mP/wQ6mzcgDpLlqDmLz+r6YY9u1Fj5kyUH/wcvJo2VcemHTmC6BkzcKxrN1we9Qmy4+PVds4oQAEKFCvABA4jwIDXYbqSDaGA/Qp4pKejmXYW927tbO5NO3ciMC4OqZ6e+LdBAyzpdTtW3tYDR7XlyNBQJAQEIF3bV1hrfdq0RuiLL6LWb3PQYPs2VJ0wHv7du6vk0VowfOy2noj55Re1zhkFKEABCjiHAANe5+hnttJyAsy5jALlIyJw+19L0PDQIXWpwoWKFbGxQ3ss0M7i7tHO6sYHBpa6BBd/f/j36IGqEyeg9sIF8GndGlmxsbj04Ugcv7M3kjZtKnXePJACFKAABexHgAGv/fQVa0oBhxNoePAguq1aDe/UVMRqge0K7Uzu+i6dca5aNbO31bN+fdT4cSaqfPUl3LSgOv34cZwZ8DTOPjcY6SdPmb08ZkgB5xNgiymgXwEGvPrtG9aMAg4r4J6ejlvWrkWzf/apNp6tWhUre3RHdLlyat2Ss4Dbb0fdZUsROux5yE1uiWvW4PjddyPquxmWLJZ5U4ACFKCADQUY8NoQ3xmLZpspUC4qCj2XLEWli5cUxq6WLbGpYwdkubmpdWvMDJ6eKD90KOouXQK/rl2BjAyEf/45zr/yijWKZxkUoAAFKGBlAQa8VgZncRRwZoG6/x5BjxUr4ZuSgmRvb6zQzuoerV/PZiRyaUO1yZNQ4dVX4eLri/hFi3Hm6YHI0epns0qxYGcRYDspQAErCjDgtSI2i6KAswrIcGMd161Hq927FcGlsDAsu70nokNC1LqtZyEDnkKNWb/ANSgQSRs34lT/J5DF4cts3S0snwIUoIDZBBjwmo3SAhkxSwo4gIBXaiq6r1yFKld++GF/48ZYe2uXIocWs0WzverXR83Zs9UNban79uHUQw8jMzzcFlVhmRSgAAUoYGYBBrxmBmV2FKDAfwKeWrDbVQt2ZVzdZC8vrOl8Cw40bfJfAjMsJScnIyoqyixTgp8fgr6eCteaNZF+8iSO3/8ALu/abZa8jXWU+pqh2U6XBRtMAQpQoCwCDHjLosdjKUCBQgXkMobOa9fBPzEREkiuuL0nLleqVGj60u7w8PDAhAkTzDZNmjULc1s0R1RwMLIjInDxySfx0/sfmC1/T0/P0jaVx1GAAhSgQCkFHCjgLaUAD6MABSwi0GHjJgTHxCBNC0jXaWd2U7UzvBYpyAKZyi+5rel6K8IrVIBnejpu/ftvBMbGWqAkZkkBClCAAtYQYMBrDWWWQQEnE2i7eTMqXsoddkyC3UR/f7sTyHR3x99a0HuhcmX1C3Cd16yFT3KyfbSDtaQABShAgasEGPBexcEVClCgrALN9v6DmqfPqGzW3dJJNyMxqAqVYrZea8OFSpXUr8HJSBOumZmlyIWHUIACFKCALQSMZTLgNUrwkQIUKLNA3aNH0fDQIZXPlnZtcVE7O6pW7Hy2uf3NiNfOUgfHxuLmTZvtvDWsPgUoQAHnE2DA63x9zhZTwCIClc+fR8udu1TeMvTY6Zo11bL+Z8XXUC5vkEsz0t3d1fBqjQ4cKP4gpqAABShAAd0IMODVTVewIhSwX4HyERFov3ETDFoTTtWoYfahx7Rsbf4/yc8PGzt0QI5Wkyb79kMCfG2R/ylAAQo4joADt4QBrwN3LptGAWsIBMTG4Za16+CanY2LFStiW9s21ijWJmWEVwzDnhbNVWAvlzYExMXZpB4slAIUoAAFSibAgLdkXkxNAWcXuKr9HmlpWrC7Vo1iEB0cjE0dtTOgLo79tnKkQQOcrFkTbllZWtvXQQyuQuEKBShAAQroTsCx/zLpjpsVooBjCbTdshW+KSmICQrCui6dkenm5lgNLKQ129q1RWRICHyTk9Fhw8ZCUnEzBSjg2AJsnT0JMOC1p95iXSmgIwEZkaHyxYvI0ILcDR07Is3JfkFsQ6eOSPb2RoWICNy0fYeOeoZVoQAFKECBawVcrt3gzOuZ2leU2dlyS8r1CgmJyYiJS7h+B7dQoAgBR93lm5CI5rv3qObtatECyX6+atmZZmleXpAxerNcXFDn+HHUPXLEmZrPtlKAAhSwKwEGvFe6KyU1HfcNeAd/rdpyZUvuQ3JKKoa9NQ7teg9Bx3uG4ZEhIxEZHZe7k3MKOKlAu61b1E1q56tUwak6tZ1UAYgNDs67Sa/Vrt2Q0SqcFoMNp0DRAtxLAZsKMODV+MdMnY2bbh+E46cvaGtX//9l3iocOXEOf8/9ClsWTYariwvGTf/96kRco4ATCdxw8CDKR0YhxdMT29q0dqKWF9zUMzVq4Ej9emqnDM3mmZamljmjAAUoQAH9CDDg1fpi4CN3YtVvYxEWGqytXf1/6d/b8EDvzqhQPgj+fj7o90AP/PHXOuTkFHzpw9VHc61EAkyse4HA2Fjc+M8+Vc9tbdsiXQt61YqTz3a3bKlu3PNOTc378Q0nJ2HzKUABCuhKgAGv1h1BgX6oGFoO7m7X32F++txlVK8SBuO/apUrqMX4xGT1yBkFnEXAJStL/biEtPdY3bq4VLmSLHK6IrDl5nbINhhQ/cwZVDp/4cpWPlCgdAI8igIUMK8AA94iPOUsrlzD6+XpkZfK08NdLScnp6rHtIxscKKBozwH1JO6kFnT/fsRkJCARF9f7G7RvJBUzrs5PjAQBxs1UgBttm2De3q6Wi5o5ijPF7aD7318DljvOVDQewm3mS7AgLcIK4PBAB9vL6SlZ+SlMi77+HipbekZWbDNxHLpbv7ngHpSFzALiYxEg0OH1RnMjR06INvVtYBU3HSwcSPEBQTAKy0NzffsLRSEz13zP3dpSlNHfw4U+obCHSYJMOAthqlG1TCcOX85L9XZC+FqOcDPRz36+7iDEw0c5TmgntTXzFwzMyE/o2vQtu9v3Bix5a6/1l3bxf+aQI6LC4yXNtQ+cQKh4bnvF9quq/47yvNFN+3g+zD/DjnBc+CqNxGulFiAAa9GJuPvZmRkaktAhvbH3bgsG3p2aY3f/lyD8MhYJCal4Me5K3DfHbfAYJA//5KCEwUcW6DF7j3qF8Xkl8UOaWcwHbu1ZW+dDFV2uOENKqO2W7dCPjCoFc4oQAEKUMBmAs4S8BYJ/OrIr9G8x0CcuxiBtz/7Vi2fPHNRHfNon+6oXaMybn1gONreORgSDA8bcJ/axxkFHF2g4sWL6kcVMl1dsalDe2if9MB/xQvsb9JEXdrgm5SMpldGtSj+KKagAAUoQAFLCTDg1WTHvj8EB9Z8f9VUq3ruHei+Pl6Y8ukIbPpzEtb+MQ6zv35PDVEG/qOAgwvITVdtt2xVrdzVqiVSfHIv41EbOCtSIP+lDfWPHEFQTEyR6a27k6VRgAIUcD4BBrwm9nmgvy/Klws0MTWTUcD+BeTreLn56nzlyjhZu7b9N8jKLZBLG47c0AAGrdx2m7fAkJ2tLfE/BShAAQrYQqDAgNcWFWGZFKCAfgSqnTmDKucvIMXLC9vattFPxeysJntvvBEJ/v4IjI9HowMH7az2rC4FKEABxxFgwOs4fcmWUMAsAh5paWi1Y6fKa0/z5s7+a2rKoSyzLe3aIkfLoNHBgwiIi9OW+J8CFKAABawtwIDX2uIsjwI6F2i+dy8809NxoVIlnKlZQ+e11X/1okNCcKRBA7jk5KDNlWui9V9r1pACFKDAtQL2vc6A1777j7WngFkFUg8dQs0TJ9UPTOy8qZVZ83bmzPY1bYIkHx+ExMQg+rsZzkzBtlOAAhSwiQADXpuws1AK6FMg8tPP1E1WRxrUR7Kvb4kryQMKFshyc1M/SCF7oyZORMbZs7LIiQIUoAAFrCTAgNdK0CyGAnoXSFi+HCk7dyLV0xMHGjfWe3Xtrn6RoaE4Wq8ectLScPHDD+2u/qwwBShQIgEm1pkAA16ddQirQwFbCORkZOCSdnZXyt7XpAky3d1lkZOZBeTSBpeAACSt34DEv9eYOXdmRwEKUIAChQkw4C1MhtspYGkBHeUf/cMPyLxwAZ716+FEvbo6qpljVSXDwwPlhz2vGnX500/VI2cUoAAFKGB5AQa8ljdmCRTQtUBmdDQiJk5SdSz/xpvqkTPLCQQ+9BDcq1RG+unTiPnlF8sVxJwpYEcCrCoFLC3AgNfSwsyfAjoXiBj7JXJSU+F3axf4tL5J57W1/+oZXF0R9r9XVUPCx41HdnKyWuaMAhSgAAUsJ8CA13K2zNmsAszMEgJpx47hLq6DAAAQAElEQVQhdu5cwM0NYa+/bokimGcBAv6394RXo4bIjotD1DfTC0jBTRSgAAUoYE4BF3NmxrwoQAH7Erj0wQeqwuUefRQeNfgjEwrDSrOwd95RJUV9+y0yo6LUMmcUMEmAiShAgRILMOAtMRkPoIBjCCSsWIHk7TsgowaUf2GYYzTKjlrh06IF/Lp2RU56OiK+GmdHNWdVKUABCtifAANe++szU2rMNBQoUkANQ/ZJ7igBFV58Aa5+fkWm507LCFT43/8AFxfIZSVpJ09ZphDmSgEKUIACYMDLJwEFnFAg+oeZahgy9+rVEfTww04ooI8me9aqiaAHHgBychD++Wf6qJTD1YINogAFKKCdWyACBSjgXAIyDFnklCmq0RXffRcyaoBa4cwmAqHaGXaDt7f6IYrk3bttUgcWSgEKUMDRBXiGF4CjdzLbR4H8AnK9aHZSEnw7dYJfxw75d3HZBgJuISEIeeopVfLlkSPVI2cUoAAFKGBeAQa85vVkbhTQtYAahmzOHO27HRdUfPstXdfVmSoXMvBpuAQGIvXgIcQvWWLLprNsClCAAg4pwIDXIbuVjaJAwQLGYciCH32Ew5AVTGSTrS4+PpCbB6Xw8DFjIDcVyjInClCAAhQwj0DJA17zlMtcKEABKwskrFqVOwyZry9Ch3EYMivzF1tc0EMPwb1KZWScv4CYWb8Wm54JKEABClDAdAEGvKZbMSUF7FZAzhhe+niUqr/cJOWqfX2uVjgrk4A5D5abB8Nee01lGTFpErISE9UyZxSgAAUoUHYBBrxlN2QOFNC9QPSPP+UNQxb82GO6r6+zVtD/ttv++8nhad84KwPbTQEK2J+A7mvMgFf3XcQKUqBsAlmxsYicNFFlUvHNNzgMmZLQ76zi2++oykVNm4bM8HC1zBkFKEABCpRNgAFv2fx4NAV0LxD1zTfITkqGT9s28OvSxXb1ZckmCXi3bAH/7t1V2ohx49QjZxSgAAUoUDYBBrxl8+PRFNC1QGZkJORyBqmk+hlbWeCke4HQl1+G+snhP+Yh9chR3deXFaQABUomwNTWF2DAa31zlkgBqwlETp2KnPR0+HXtCu8mTaxWLgsqm4BnrZoIfuhBICcHEV98UbbMeDQFKEABCoABL58EFNClQNkrlRkTg5jZc1RGoc8PVY+c2Y9A+eefh8HbG4lr1yJp61b7qThrSgEKUECHAgx4ddgprBIFzCEQ9fU0ICMDvh07wKtRI3NkyTysKKB+cnjAAFXi5Y8+Uo+cUcApBdhoCphBgAGvGRCZBQX0JqDO7s6apapVfujz6pEz+xMIeXoAXMuVQ9rRY4j/c5H9NYA1pgAFKKATAQa8OukIVqNMAjz4GoHo72YgJy0NPu3awadF82v2ctVeBFx8fPJ+Fe/y6NGQHxAB/1GAAhSgQIkFGPCWmIwHUEDfAtnx8Yj++WdVydChQ9QjZ/YrEPzIw/CoVVONyRvzyy/22xDW3EoCLIYCFChIgAFvQSrcRgE7Foj6YSZykpPh06oVfFq3tuOWsOpGgQoyTJm2Ejn1azWmsrbI/xSgAAUoUAIBBrwlwHKUpGyH4wpkJyUhasYM1cDyHJlBOTjCTH6IwrNBA2TFxCD6h+8doUlsAwUoQAGrCjDgtSo3C6OAZQWiZ/6ozu56N28O35tvtmxhzN2qAhVGDFflRX37LbITEtQyZ2UWYAYUoICTCDDgdZKOZjMdXyAnNVU7+/eDamjoUI67qyAcaObXpQu8mjRWlzRE/5R7jbYDNY9NoQAFKGBRAQa8xfFyPwXsRCD6p5+QFRsLz4YN4dupo53UmtUsiUDokNybEKO++w7Z2geckhzLtBSgAAWcWYABrzP3PtvuMAIS/ERN/1a1p8ILL6hHzhxPwPfWW+FRt666pCH2yjjL1mwly6IABShgrwIMeO2151hvCuQTiJ09W53d9ahTB363dsm3h4uOJGAwGBA6+DnVJDnLm5OerpY5owAFKECBogXMHPAWXRj3UoAC5heQoCdq+nSVcYXhL6pHzhxXwL9XL7jXqIHMiEjE/v6H4zaULaMABShgRgEGvCZiJqekIi4+ycTUTEYB6wnEzp2rgh91drd7d+sVzJKKFrDQXoOLC8oPekblHvnNN8jJzFTLnFGAAhSgQOECDHgLt1F7LkfEYNhb49D5vuHo/tDL6DdsFA4dPa32cUYBWwtIsBM5ZYqqRuiw52EwGNQyZ44tEHjPPXALLY/MCxcQv2iRYzeWraMABexeQA8NYMBbTC98MXU20tIzsGnhRGxeNAk1q1XEuOlzizmKuylgHYG4efPU2V336tXh37OndQplKTYXMLi5ofyzudfyRkyZipycHJvXiRWgAAUooGcBBrzF9M6Fy1EIDQmCu7sb3Fxd0bJpPRw5ca6Yo7ibApYXkLO7EZNzz+5WGDbMzs/uWt7L0UoIerAvXIOCkHH6NBKXLXe05rE9FKAABcwqwIC3GM4BD/fC/KUb8MI74/H3pt345udFGPLEvcUcxd0UsLxA/J+LkHnxItTZ3TvvsHyBLEFXAgYPD4QMfFrVKXziRPXIGQUo4AACbIJFBBjwFsPaoG511KgaBheDC14d+TUSEpPRvHHdvKPSM7LAyfwGaZorpywUZpCaloHwyZPV8zBo0LNIz8opNG1heRS0XWXImcUFCrIvzTafvg/Bxd8f6ceOIWblarM8B0pTDx5T+GuVNrS59jlQ2pjB4m9MDl4AA95iOvil9yahd4/2+OrD57H6t7Fo3bwhHhkyEplZWerIlPRscDK/QZrmyikbhRggbtESZJ49C9eKFeHeo1eh6Qo7vrDt6knNmcUFCvMv6fYMNy/4PvK4qm+Udpa3pMczfeGvMdrQxlLPgdLGDOqFzlmpBRjwFkGXlJyK/f+exA11qqlU/n4+ePqROyBDlJ08c1FtC/R1ByfzGwRorpzcUZCBv48bEr+bpp5/FZ4fisBA7wLTFXRscdtUppxZXKC4fijJ/koDn4TBxwcZhw/Bbf8usz0XSlIHpi34tUoXa7jYXxmljRks/sbk4AW4OHj7ytQ8Xx8vVK0Uijl//o24hCRkZGTir1Vb1CUOtapXKlPePJgCpRVIXL4C6cePw61SJQTee29ps+FxDiLgGhCAco8+olojIzaoBc4oQAEKUOAqAQa8V3FcvyKXMnh4uKP9XUPR/u7ncUI7s/vZW8+qERuuT80tehRwtDqFjx+vmlR+0CDI8FRqhTOnFij39NOAuzuSt2xByoGDTm3BxlOAAhQoSMCloI3c9p9Aw3o1MH7kC9j211SsnP0Fpnw6Ak0b1v4vAZcoYEWBxNV/557dDS2PoPvvs2LJLErPAm7BwQh+8EFVxciJE9QjZxQoQICbKOC0Agx4Tex6ubwhMMDXxNRMRgHLCIRPyA1m5EcHZFgqy5TCXO1RIOTZZwFXVyT+vQZpR4/aYxNYZwpQgAIWE2DAazFaO82Y1datQNL6DUg7dEj92EDQg311W09WzDYC7hVCEXTvParwyEm5Q9apFc4oQAEKUAAMePkkoICdCERMmqhqWv65Z8Gzu4rCbmfJyclISkoy++T9+OOAwYD4ZcsQq304MmcZcMJ/bDIFKOA4Agx4Hacv2RIHFkjeuhUpe/bmnt19+GEHbqlzNM3DwwPLtKDU3NNqLciNb9oUyMnBoZEfma0Mb29v5+gYtpICFHBYAQa8ZepaHkwB6whEXPlVtZCBA+Hi5WWdQlmKRQX++ecfWGLaWKUycrSaB+zejSPaByVzlJGjBdBalvxPAQpQwG4FGPDabdex4s4ikLx7D5K3blM/IRv8+GPO0my2s5QC8YGBuKAFvS5akNrYmkOUlbK+PIwCFKCANQQY8FpDmWVQoAwCkRMnqqNDnn6aZ3eVBGfFCexv3EQlqXXiBDzS0tQyZxSgAAWcWcCaAa8zO7PtFCiVQOrBg0jauFGd3S3X7/FS5cGDnE8gtlwwLoeFwTU7G40OHXI+ALaYAhSgwDUCDHivAeEqBfQkEDE+d9zdkCefgIsvx4HWU9+UrS6WP/pgo0aqkDpHj8E9PV0tc0YBClDAWQUY8Dprz7PduhdIO3YMiWvWwODjg+B+/XRfX1ZQXwLhYRUQExwEt6wsNDj8r74qx9pQgAIUMApY6dHFSuWwGApQoIQCEePGqyNCnugP14AAtcwZBUoisE+GKNMOqHf0KNwyMrQl/qcABSjgnAIMeJ2z39lqnQvI2d2EFSvU2d1yTz2l89pavHosoJQCFytXRpz2YclDC3Yl6C1lNjyMAhSggN0LMOC1+y5kAxxRIHLyFNWsco89xrO7SoKz0gocaJI7YoNc1uCamVnabHgcBSigCwFWorQCDHhLK8fjKGAhgfTTpxG/ZAkMnp4oN4Bndy3E7DTZnq1WFQl+fvBMT0ft4yecpt1sKAUoQIH8Agx482twmQI6EFBnd3NyEPzoo3ALDi5xjXgABa4SMBhwsHHuiA0NDx2CITv7qt1coQAFKOAMAgx4naGX2Ua7Eci4cAFxCxeqs7shg56xm3qzovoWOF2jBpJ8fOCdmopaJ0/qu7KsHQXMJ8CcKJAnwIA3j4ILFLC9QN7Z3Qf78uyu7bvDYWqQ4+KCQw0bqvY0OnAQ0L5BUCucUYACFHASAQa8TtLRbGYhAjranHnxImLnzlU1CnnmGfXIGQXMJXC8Xl2keHnBNzkZNU6fMVe2zIcCFKCAXQgw4LWLbmIl7VEgVfv6+PTp0zB1OjU+d9xdt9534nxKisnHmZp/cenS0tLskZl1LoHA4RsaqNQND2pnedUSZxT4T4BLFHBkAQa8jty7bJtNBdzc3DBjxgyTpp++/hopC/9EjlbjeQaDSceYmrep6aS+WvH878ACx+vWRbq7OwLj41Hl7FkHbimbRgEKUOBqAZerV7lGgaIEuM9SAjf8+y/csrIgNxcl+/paqhjm6+QCWdqHsMM33KAUGh88pB45owAFKOAMAgx4naGX2UZdC7hlZKLukaOqjoca5d5YpFY4o4AFBI7Vq4sMV1cEx8Sg4oWLFijBSbJkMylAAbsSYMBrV93FyjqiQL2jR+CRkYHzVSojPjDQEZvINulIIMPDA0cb1Fc1anSIZ3kVBGcUoIDDCzDgtVwXM2cKFCvgmpmJBof/VekONsr9cQC1whkFLChwpEEDZLq4IDQiAiGRkRYsiVlTgAIU0IcAA1599ANr4aQCtU+cVD/5eqlCBUSHhDipApttbYE0T0+cqFNbFdto/wH1aNkZc6cABShgWwEGvLb1Z+lOLCA/8WocHuoQr9114meCbZp+SPtGIdtgQOVLlxAQF2ebSrBUClCAAlYS0E3Aa6X2shgK6Eag5smT8E5NRXRwMMIrVtRNvVgR5xBI9fbGqVq1VGOb7tuvHjmjAAUo4KgCDHgdtWfZLn0L5OSgsfzEq1bLA4157a7GwP//CVhtSZ57OVppVc6dg19CgrbE/xSgAAUcU4ABEBDrhwAAEABJREFUr2P2K1ulc4HqZ85AfuI1wc8PF6pU0XltWT1HFZAxn8/UqAGD1sDG+3mWV2PgfwpQQFcC5qsMA17zWTInCpgmoJ3dbXTl7O7+Jo0Bg4Qb4D8K2ERAnoNylrfG6TPwSUqySR1YKAUoQAFLC+gu4H191DSMmTobZ85ftnTbmT8FbCJQ+fwF9dOuST4+kLNrNqmEAxXKppRNINHfH+eqVYV87DJ+ECtbjjyaAhSggP4EdBfw3tioDmYv+Bu9HnsNQ9/8Chu370d2tpx/0B8ea0SB0gg0OZD71fHBhg0Bnt0F/9leYH+TJqoStU6ehFdKilrmjAIUsDsBVrgIAd0FvI/c2w3r5o3HqDeeweWIGAz63xj07v86fl2wGolJfCMuoi+5yw4Ewi5fRnBMLFI9PXGqdu4d8nZQbVbRwQXkF/4uVK4MF7nchr++5uC9zeZRwDkFdBfwSjd4e3ngnp4dMPebDzBr8jsoFxSAkV/ORNs7B+OzSbNw8sxFScaJAnYn0PDKtbuHbrgB2a6u1q8/S6RAIQL7jGd5j5+AR1paIam4mQIUoIB9Cugy4BXKrKxsdTnDNz8vwu79R2UTenZpg7mL1mpnfN/AKx9OUds4o4C9CARFxyAsPBzp7u44Xq+uvVSb9XQSgdhywbgcFga3rCzccOiwk7SazXRmAbbduQR0F/DGxiXih9+W4Y7HX1OXMxw5cQ5vvvAYNv05CWPfH4L188fjo9eeRlJyqnP1FFtr9wJN9u9TbThSvz6y3NzUMmcU0JPAgUa5Y0LXPXYM7unpeqoa60IBClCgTAK6C3jf+fxbfD5pFurWqoJpo1/Bkp8/x2P39UCgv69qqJenB/r06oQpn45Q65xRwHIC5ss5IC4OlS9cRKarK440qG++jJkTBcwoEBFWAZEhIXDPzET9f4+YMWdmRQEKUMC2AroLeLt1bIW50z/EpFHD0aF1E7i4yGA5QGpaOs5fikRODkdssO1ThqWXRkB+VU2eyXIpQ4aHR2my4DEUsIrAgcaNVTn1jxyBW0aGWuaMAiABBexcQHcB76oNO7Fm0+7rWM9diMBtD7+CS+HR4D8K2JOADOZf7cwZZLm4QG5Ws6e6s67OJ3CpciXEBAfBQwt25dIG5xNgiylAAUcU0F3AWxiyr4+X2hWfmKweOdOdACtUiEDj/QcgZ3dlGLI0r9zncSFJuZkCuhDYf+Us7w2HDsMlK0sXdWIlKEABCpRFQDcB7+wFqzHj1yU4fvoCdv5zRC3LukzTfvoTw9+diHJB/qhbs0pZ2lumYzMyMtVlFenp/JqvTJBOdLAM4l/z1CnIhTjqhyacqO1sqv0KXKhSBXEBAfBMT0ed4yfstyE2qzkLpgAF9Cagm4D3Oy3YHTN1Nk6fu4zNOw5Alo3TNz8vRo2qYRj97mC4ulq/yjLub79ho9C8x0B1WcUfS9brrR9ZH50KNDp0SA3mf6ZGDST75t54qdOqsloU+E/AYMCBxrkjNjQ8eBA5mZn/7eMSBShAATsUsH70WAjSslmjcWDN93iib0+8/8qTalnWZdq+ZCo+f+c5tGuZ+wZcSBYW2Sy/9ta7/xsICw3GjxPexI6l09CzS+syl8UMHF8gKyYGtbSzYzlaU/c3yb0RSFvkfwrYhcDZ6tWR4OcH79RUxC9YYBd1ZiUpQAEKFCagm4DXWMFXhz6Cvr27GFdt/vjDnKXqUopP3xqElk3rw9vLA8GB/javFyugf4GY73+ADOIvXw8n+vM5o/8eYw2vEtDO8h68Mi5v1JSpyMnOvmq3GVeYFQUoQAGLC+gi4JXrdr/6Zi5i4hKweuNuzPxtWaFTmpWvn92wbR8qh5XHKx9MwUPPfoD3x3yPSxEcKcLiz0w7LyA7KQmxv/yiWmH8alitcEYBOxI4XbMGknx8kHnxIhIW/2VHNWdVKUABClwtoIuAV4Yc++bnRYhPSMaiFZvx2aRZV0/51mU83qubYNk1CcZlhIhuHVtiwCO9sP/fkxgw4jPIDWxSckZWDjjR4NrnQIR2djcnJQWXw8IQU66cPFU4UcDuBHJcXGC82TJ8wgSkZ2bz/Y7v+XwO2Og5YHdvIDqrsC4C3o5tmmL7kq9RvUoF9fPBct1uYZPxF9es6fjYfT1w123t0bNLG4x+5zl1Y92JMxdVFZJTMsCJBvmfA0kxCYiZ8b16fhi/ElYrnFHADALWzkKG03MtXx4ZZ84gZskyvt/xPZ/PARs9B6z92ne08nQR8MrICz7enjAYDOrMaVxCErKycq8Xy8zKwrbdh7Hv8Emb2DesVwNnzl/OKzv7ynVs6Rm5dy0H+nmAEw3yPweyF/2BnMQEeDZqhPCwCnnPHS5QwB4Fsl1dUW7g06rqyTO+4fsd3/P5HLDRc0C9CDnLL1CiZV0EvPlr/M0vi9H9wZeRmJyCnJwcPDbkIzw14lM8/NwH+HaW9a8hu6NbW3z3619q/F0JxH+cu0LdxGbL8YDze3FZXwI56emI+vZbVamQIUPUI2cUsHeBwL594RoUhNSDh5C0nsMy2nt/sv4UcEYB3QW8MgbvA707Qy5d2LLzoLpm9oNXnsLwZx7Az3+ssHofPX5fD7Rt2UiNv9v+rqFYt3UvJo0arkZrsHplWKDuBeLmzUdmRCQ869WFb5fOuq+vw1eQDTSLgIuXF0KeHqDyipg0WT1yRgEKUMCeBHQX8IZHxqB+7arKcPeBY/Dx9kKfXp3w0D1dIWPiyg9TqJ1Wmnl4uGPMu4OxedFkrJz9BVbNGYtmjepYqXQWY08CMmxTxNdfqyqXf+459cgZBRxFIPjRR+Hi74+UPXuQvH27ozSL7aCA0wg4e0N1F/BWKB+MQ0fPqMsZlq7einYtG6pfV0tOSVV9Ze1RGlSh2izAzweVwkLUdcbaKv9T4DqB+MWLkXnhAtwqV4Z/r17X7ecGCtizgIuvL0KeeEI1IXLKVPXIGQUoQAF7EXDRW0Xv6dlBXbrQ5o7BkCHBHu3TXVVx3ea96rFqpVD1yBkF9CQg15tHTJykqhQ6+DkYXHT30lJ1K3rGvRQoWiC4fz8YfHyQtGkTUg4cLDox91KAAhTQkYDu/irff+ctkGt2u3VqiU/efAY335T7k6x7Dx7H04/cARkTV0d+rAoFlEDiqlXIOH0abqGhCOzTR23jjAKOJuAaEIByjz2mmhU5KfcDnlrhjAKOJsD2OJyA7gJeg8EAuWnt0zcH4e7bOuSBf/z6QLz07IN561yggJ4EIifn3sgTMvBpGNzc9FQ11oUCZhUoN+ApGDw9kbh6NdKOHjVr3syMAhSggKUEdBfwSkPl5rQ//loH+bnhaydbXcMr9eJEgXwCeYtJGzaq4Zrkhp6ghx7K284FCjiigFtwMIKvPM95La8j9jDbRAHHFNBdwLtszTZ07TsC73z+HX5fvBYLl2+8ajL+pK9jdgdbZY8CkVdGZgjRznzJ8E322AbWmQIlESg3cCDg7o74JUuQfupUSQ5lWocUYKMooH8BF71V8btZS9C2RUNsX/I11s+fgNW/fXnV5O/no7cqsz5OLJC8e7caoklu5CnXv78TS7DpziTgXiEUwfffB+TkIHLaNGdqOttKAQrYqYDuAt6U1DTc1PwGyE8N26kpq12AgKNuiroyPFM5GaPU19dRm8l2UeA6gZBnngFcXRG3YCEywiOu288NFKAABfQkoLuA95abb8Sm7fv1ZMS6UKBAAblhJ3HdOshXu3IjT4GJuJECDirgXqUKAu++G8jKQtSUKQ7aSos0i5lSgAI2EHCxQZlFFlmvVlXs3n8UY6bOxs9/rLxuSk/PKPJ47qSAtQQirgzLFNy3L9zKlbNWsSyHAroRKP/sIMBgQMzcuciMiQH/UYACFNCrgO4C3r837lZWM35dglHjf7puSklLV/sdesbG6V4g/dQpJCxdpr7SDXnuWd3XlxWkgCUEPGrWRID8qmBGBqKmfWOJIpgnBShAAbMI6C7g/erD53FgzfeFToH+vE7SLD3PTMokEDn1a3V84F13wb1CBbXMGQWcUaD84OdUs2N++QVZ8fFq2Zwz5kUBClDAHAK6C3jzNyolNR0ZmVn5N3GZAjYXkBt04v78U9WjPM/uKgfOnFfAs149+Hfrhpy0NETP+N55IdhyClBA1wK6C3gzs7Iw+YcF6HTvMNx0+yAsXb1VAT732hd44Z3xavnqGdcoYF0BdYOO9jz1v+02eGhf6Vq3dJZGAf0JhAwZoioV9cMPyE5KUsucUYACFNCTgO4C3g1b92HSjHno0r4FqlYKzbO6747OWLV+F+IS+Gaah8IFqwvIjTlyg44UXP755+WBEwX0I2Cjmng3bgTfTh2Rk5yM6J9+tlEtWCwFKECBwgV0F/D+umAVHu3TDSNfHYAaVcPyat6sUW21fOFSpHrkjAK2EIiePh3IyIBvxw7wql/PFlVgmRTQpUD5K2d5o2fMQHZqqi7ryEpRgALOI3BtS12u3WDr9SMnzqF+nWqFVsPDw73QfdxBAUsKyA050bN+VUWUf5YjMygIzihwRcCnRQv4tGmDrNhYxM6efWUrHyhAAQroQ0B3AW+zhnWweOUWZGfnXCU0Z+Hfaj3/ZQ5qA2cUsJJAzMwf1Ve23s2bw6d1ayuVymIsJ8CczS1gHLEhSvsmJCedQ0ia25f5UYACpRfQXcA7+Il7sH3PYfTu/zoOHT2N5Wu3Y/DrX+LrH//E8GcegCfP8Ja+t3lkqQXkK1q5IUcyMP5Rl2VOFKDAfwK+N98Mr0YNkRkRidg/5v23g0sUoIC+BZygdroLeBvUqYY/vh2JWtUrITUtA6s37sal8Ch88MpTePqRO52gS9hEPQrEzpmD7IQEeNarC99bbtFjFVknCuhCIPSFF1Q9IqdNQ05mplrmjAIUoICtBXQX8AqIBL2TRg3H9iVTsf/vGZj33Ud4oHdnuLgYZDcnClhdQL6ilULLDx4Mg8Epn4fSfE4UKFbAr0sXeDVsiMwLFxC/eHGx6ZmAAhSggDUEdBHwxsUnITwytsApIiruqu05OTnWcGEZFMgTiJn1KzLDI+BevToC7rgjbzsXKECBggXKX/n1tcivpxWcgFspYNcCrLw9Cugi4H37s+m49YHhJk3xicn26Mw626lAdloaIiZOVLUPHcZxdxUEZxQoRsCvRw+416iB9BMnkLB0WTGpuZsCFKCA5QV0EfAO6nc3Jn8yQk0dWjdBs0Z11LJxmzzWqVEZss/H28vyKiyBAlcEYn74AVlRUeoX1QLvuuvK1uIfmIICzixgMBgQ+vxQRRB+5QOjWuGMAhSggI0EdBHwNr2hFjrffKOaLoVHo2eX1mrZuE0eRzzbFxu370daGoe6sdFzxemKzUpIQOS0b1S7w157TT1yRgEKmCYQcOedcKtcGenHjiFxzRrTDmIqRxRgmyigCwFdBLz5JRKTU3DyzMX8m9RyaEiQejx68px65IwClhaI0oLd7MREeDVuDL9buwjmt2oAABAASURBVFi6OOZPAYcSMLi4IHTIYNWmiPHj1SNnFKAABWwloLuA9+ZWjTF30Vrs2ncUWVnZyiUlNR0z5+ReB2YMfNUOzhxDQIetyIyMRPQPP6iahb35hnrkjAIUKJlA4L33wi20PFIPHkLyli0lO5ipKUABCphRQHcBr/y4RFhoMPoN+xjteg/BA8+8h5tuH4TFq7Zg6FN9wF9aM2PvM6tCBSInTYb8UpRvp07wadWq0HTcQQEKFC5gcHND+eeeUwkipkxVj5wVLcC9FKCAZQR0F/DKGdzFP36Gt17sh9s63wRZf/ierpj62UsY3P9uyygwVwrkE0g/dw4xs2erLRX+94p65IwCFCidQFDfvnANCkLy1q1IOXCwdJnwKApQgAJlFNBdwCvt8fbywKN9uuHj1wdiyqcj8M6I/ujUthkH/BcccGZpgchx44HsbATceSe86te3dHHMnwIOLWDw8ED5ZwepNsbNnaseOaMABShgbQFdBrzWRmB5FDAKpJ08ibg//wTkhpsRw42b+UgBCpRBIOjRR7WzvIGImTULKf/8U4acrjmUqxSgAAVMFGDAayIUkzmHQPjnn6uGBj/YFx5Vq6plzihAgbIJuHh6ovzQ3B9uufj2O2XLjEdTgAIUKIWAowe8pSDhIc4qkLJ7DxL/zh0vtPyQoc7KwHZTwCIC5fo9DreKFZF25Ahifs29Rt4iBTFTClCAAgUIMOAtAIWbnFPg8ujRquEhA5+GW4VQtcwZBRxHwPYtqfDyS6oSMi5vdnKyWuaMAhSggDUEGPBaQ5ll6F4gcd06pOzaBRc/P4Q8+6zu68sKUsAeBQLvugue9eoiKzoaUd9+Z49NYJ0pQAE7Fbgq4LXTNrDaFCizQPjoMSqPkKefhqu/v1rmjAIUML9A2Ntvq0yjvvsOmVFRapkzClCAApYWYMBraWHmr3uB+MWLkXb0KFwCA1FuwFO6ry8raBUBFmIhAd+2beF3yy3ISUlBhAwBaKFymC0FKECB/AIMePNrcNnpBHKyshA+9kvV7grDhkHuJlcrnFGAAhYTqPDGG4DBgNi5c5F28hT4jwIU0LOAY9SNAa9j9CNbUUqB2N/mIuP8ebiFhSHooQdLmQsPowAFSiLgWasmgu67T/3AS/jnn5XkUKalAAUoUCoBBrylYuNBjiCQnZaGiAkTVFMqvDQCBnd3tcxZyQV4BAVKKhAqrzkPDzUUYPLu3SU9nOkpQAEKlEiAAW+JuJjYkQRifvwRWVFR8KhZEwF33eVITWNbKKB7AbeQEIQ8PUDV8/LIkeqRMwo4gACboFMBBrwl6Jgvp/2Gxl2eRHwix48sAZtZkqampuL06dNmm04dPIjwyVNU3QxPPoEzZ8+aLW+pZ5p29lhlzhkFKFCoQMgzz6ibRVMPHkL8X38Vmo47KEABCpRVgAGviYLzlqzH9F8Wm5iaycwt4ObmhhkzZpht2iVDIyUnIzo4GDMPHzZbvsY6Sn0LNeAOClBACbj4+KDC8BfVcvgXXyAnI0Mtc0YBClDA3AIMeE0Q3b7nMEaN/xlj3h1sQmom0buAp3a2uP7hf1U1d7dsoR45owAFihaQb1nkmwtzT9733AP3GtWRcf4CImbOhLnyl/oW3SLu1YMA60ABawkw4C1G+vS5yxjyxlf46sPnUa9W1WJSc7c9CDQ+cBCu2dm4WDEMkaGh9lBl1pECNheQby1+/vlnmHv65ddfsa9F7gfPSxMm4tfvvjNLGe68CdXmzxlWgAJ6EmDAW0RvxMUnYdD/xmDEoL7o0LpJgSkzs3LAyZIGuXkXiF+Kjd7Jyahz7Jg6cm/z5uqRMwpQwDSBM2fOwBLTXi8vRIaEwF379iVg+XKzlCEt4ntz7vsnHRzDQZ7TnEovwIC3CLstuw7g3MUInL0Qjs8nzcL0WbnX8H71zVwcOnpaHZmYkgFOljdQ2GaYNdv7D1xycnC2WjXEBQWZIUdmQQEKmENgZ6tWKpt6/x6BfDBVK2WcOdx7M//eOPXf2zK+HJz+cAa8RTwF6tasghcH3o/gQD8EaVOAn49KHRTgCw93t9xlPw8EcbK4gcIu48w7JQU1T+d+UNnXtGkZc+PhFKCAOQViywWrD6JyuVGzf/aZJWu+N/PvkyM9B8zyonDiTBjwFtH5dbSAd9Djd8E4PXjXrSr1kw/1guxTK/qasTZFCNy0bbvae7xOHSQE+KtlzihAAf0I/HNjM1WZmqdOISgmRi1zRgEKUMAcAgx4zaHIPHQvEHbpEipfvIgMNzfsa9pE9/VlBSngjAKJfn44Wr+eanrz3XvUY+lnPJICFKDAfwIMeP+zKHapbq0qOLDmexgvbSj2ACbQjUDj/ftVXfY3bow0Ly+1zBkFKKA/AXmNZri5Iiw8HBUvXtJfBVkjClDALgWcOuC1yx5jpUssUP/QYYRGRiHR1xdHG9Qv8fE8gAIUsJ5AuqcnDjVqpApsvmc3kJOjljmjAAUoUBYBBrxl0eOxuhfwSklB0ytnd7e3aY0cFz7ldd9prKAtBHRV5r8NGiDZ2xuBcfGodfKUrurGylCAAvYpwL/+9tlvrLWJAi127YZbVpa6+zs8LMzEo5iMAhSwpUC2qyv2XRlJpcm+fXDRXsO2rA/LpgAF7F/A9IDX/tvKFjiZQIVLl1H97Flkan88d7XM/SUnJyNgcylgtwKnatVEXGAAfLRvaeof/tdu28GKU4AC+hBgwKuPfmAtzCxgyM5G6+25w5Dta9IEqdrXo2Yugtk5sQCbbgUBgwG7WrZUBTU6dAgeaWlqmTMKUIACpRFgwFsaNR6je4EGhw/DLykJ8f7+vFFN973FClKgYAG5DOlSxYpwz8yEcaSVglNyKwUoYCMBuymWAa/ddBUraqqAT3Ky9sfxgErOG9UUA2cUsFuBPc1vVHWvffwE5CZUtcIZBShAgRIKMOAtIRiT61+g+e7dcMvOxqkaNRAZGqr/Cjt6Ddk+CpRBIC4oCCdr11Kv6VY7d5UhJx5KAQo4swADXmfufQdse4VLl1Dt7DnIwPV7r5wZcsBmskkUcCqBf5o21V7Tbqh67hyqnz7tVG1nYx1LgK2xnQADXtvZs2QLCNy0fYfK9Z9mzXijmpLgjAL2LyA3ncovsElLWu3YyUsbBIITBShQIgEGvCXiYmI9CzTcfwD+SUmIDQzE8bp19VzVIurGXRSgQEEC8iuJcQEB8MjIQMtdvLShICNuowAFChdgwFu4DffYkYC33Kh28KCq8ba2bfiLakqCMwo4joD8SuKWm9sh22BQly1VPn/ecRrHlhQswK0UMKMAA14zYjIr2wm01L7mdM3OVje3xJQrZ7uKsGQKUMBiArHBwTjSoL7Kv/W27XDTzvaqFc4oQAEKFCPAgLcYIO7WtYCqXKULF1BVm9Ld3bG7eXO1jTMKUMAxBfY3aYIkXx94paXhxr3/OGYj2SoKUMDsAgx4zU7KDK0p4JKVBeONanubNUOGh4c1i2dZFKCAlQWy3NywtW1bVWqdY8cQEhmpljmjAAUoUJQAA96idLhP9wINDx6CT0oKorWvOk/UraP7+rKCFKBA2QUiKlTAiVo1YdCyart1KwzZ2doS/1OAAhQoXIABb+E2DrfH0RokN6o1PHQIOVrD5EY1GOTPn7bC/xSggMML7GnRAmnaNzr+CYlodCD3hlWHbzQbSAEKlFqAAW+p6XigrQXkUga5UU3O7MqvMdm6PiyfAhSwnoBcvrTzplaqwEYHD8IvPkEtmzhjMgpQwMkEGPA6WYc7SnMrnzuHyhcvqjM8cu2uo7SL7aAABUwXOFu9Oi6FhcElJwdyaQO0R9OPZkoKUMCZBBjwFtbb3K5bAblRrdXO3IHn99x4I29U021PsWIUsLyAXM6U4eaG8lFRqHvsmOULZAkUoIBdCjDgtctuc+5Kyx81uVEtMiQEp+rUdm4Mtp4CVhDQcxEpPj7Ye2MzVcVme/bCOyVFLXNGAQpQIL8AA978GlzWvUBAbCxa7N6j6rmj9U3qkTMKUMC5BY7Xq4fI8iFwz8qC/CCFc2uw9RSgQEECZgp4C8qa2yhgfoHme/eqTA82bgTeqKYoOKMABTSB7W3aaHOg0sWLqHbmrFrmjAIUoIBRgAGvUYKPuhdodOCA9sfsEuICArCvaVPd15cVdFIBNtsmAvHyvtCksSq7xa5dyE7gqA0KgzMKUEAJMOBVDJzpXSD1n3/QZN9+ZLm4YFP79nqvLutHAQrYQOBQo0ZI8PODd2oqIj4fbYMasEgKUCC/gJ6WGfDqqTdYlwIFspKScPGllyA/K7G3eXPEBwUWmI4bKUAB5xbI0T4Qb7m5nfoxmrg//kDStu3ODcLWU4ACeQIMePMouKBXgUvvvofMS5dxoXJlHK1fT6/VZL1KJcCDKGBegeiQEBytV1dleum9d9UjZxSgAAUY8PI5oGuBuIULEb94MdxCQyHjbeq6sqwcBSigC4F9zW6EW1gY0k+eQvjYL3VRJ1aCAsUKMIFFBRjwWpSXmZdFIOPcOVx8/wOVRdgno5Dm6amWOaMABShQlECmuxsqfvqpShI1bRoyL15Uy5xRgALOK8CA13n7XvctP//Sy8hJTkbIwKfh066d7utrhQqyCApQwEQBnzatEfriiyr16SefUu8laoUzClDAKQUY8Dplt+u/0RFffomUf/6BZ8OGCB0+XP8VZg0pQAHdCYQ89yx82rRB+unTOP/6G7qrHytUFgEeS4GSCTDgLZkXU1tBIHn7dkR+PQ0Gb29UnTAeBjc3K5TKIihAAUcTMBgMqDJuHNwqVEDC8uWI+eUXR2si20MBCpgowIDXRCgms45AVlwczo14SRVW8e234VG1qlouzYzHUIACFHALDkLVSRMBV1dcGvUJUvYfIAoFKOCEAgx4nbDT9dzkC6++iqzISPjf1gNB99+n56qybhSggJ0IeDdtigojhgOZmTg3ZAiy4uPtpOZmqyYzooDTCzDgdfqngH4AYn/7DYlr18GtYkVU+uQT/VSMNaEABexeIGTgQPh27IjM8HCcHzECOTk5dt8mNoACFDBdgAGv6VaOndLGrUs7eQqXRn4EGAyoOu4ruPr6gv8oQAEKmFOgytgv1PW8SRs3IerraebMmnlRgAI6F2DAq/MOcobq5aSn4/wLwyCP5bWvG71vvNEZms02UoACVhZwDQjIu543Ytw4JG3bhoL+cRsFKOB4Agx4Ha9P7a5F4V9+hbSjx+DVrBnKDx1id/VnhSlAAfsRkOt5w155GcjJ0T5ov4DMyEj7qTxrSgEKlFqAAW+p6HiQuQRSDx5E9IwZcPH1RbVxX8HgwqekuWyZDwUoULBAuaeegl/XW5EVG4fzLw4vOBG3UoACDiXA6MKhutO+GiODwZ9+aoCqdKWPRsKtUiW1zBkFKGBHAnZa1Sqffgr3KlWQvHMnwseMsdNWsNoUoICpAgx4TZViOrMKZCck4PzLLyM7Lg5BDz2IgF69zJo/M6M5ZwcNAAAQAElEQVQABShQlICLXM87fpxKEjX9WyT+vUYtc0YBCjimgDUCXruXy8zKwsXwaKSlZ9h9W/TSgLNDhiJ1/wF4NWmMim++qZdqsR4UoIATCXg1boywt95SLT7/v/8h49w5tcwZBSjgeAIMeIvp029+XoQbuz2N7g++hJa3PYOX3p+EuPikYo7i7qIEzo14CfLzwfJzn9W++QYGT8+iknMfBRxIgE3Rm0C5fo/Dr2tXZCcmQj6I52TwxIbe+oj1oYA5BBjwFqMYFOiHb8e+ih1Lp2Hedx9h+57DmLdkfTFHcXdhAhETJiJhyRJ1k1r172fALTi4sKTcTgEKUMAqApVHfw73KpWRduRI7njgVimVhVDAyQWs3HwGvMWA9+3dBe1aNoK3lwfq166KLu1bYN2WvcUcxd0FCcQtXIjISZPUrmpTp8Czdm21zBkFKEABWwrID91UnThRVSF+8SLELVigljmjAAUcR4ABbwn6MiMzCxu370PjBrXyjsrMygan4g0SNm/FhVdfU25hn34Kj5atSuSmDuTM2QTYXgqUSaAk781u9RtA3puyk5Jx4bXXkfjPvhK9R5WkLKYt/m8Gja43KtOLgQfDhQamC3z01UwkJKag3wO35R2UkJwJTkUbxBw4gvPDnldmfoMGw9CtV4nMEjVjdbAdzXLsqK7GqrLORgnLPtLZsr7G3MW5pO/N8t7k91zue9W5J55A1LbdJXqvKml5TF/03w765PfJND61+VhKAQa8JsJN/n4+5i5ai+++fA0VygflHRXs7wFOhRv4ZyYh9vlnkZOYCP9evVDtpRdK7BWkGeeB28mCwU7qmb+arHN+Dcst09lytvlzFufSvDdXGz4Uwf36ISclBbHDnoP3hZMlfs8qTbk8pvC/I7TJtcn//OZyyQUY8BZjlp2dg9GTf8WM2Uvx27T30fSG/y5nKOZQp9+dnZqKs08/jczwcHjfdBOqfP6Z05tYEoB5U4AC5hGo+NabCOxzrxq54XT/J5B+6pR5MmYuFKCAzQQY8BZD/+7o7/D9nKUY+/5QBAb44fylSDXJ2LzFHOrUu3Oys3HuhReRevAQPGrVgtykZnB3d2oTNp4CFLCuQFZWFubPn1+qaVvr1kho0lj9OM6/fR/Eou+/L1U+80tQfrb2vmldIYctjQ2jwHUCDHivI7l6gwxDJluee+0L3PbwK3nT+YuRsplTIQLhn36GpHXr4BoSgurfz4Crn18hKbmZAhSggGUEcnJysGfPntJN//yDJY0a4VLFMLglJCBswkQc3ry5dHmZWAepr2UkmCsFKMCAt5jnwLJZo3FgzffXTTWqhhVzpH53p6amIiMjw2JT5C+zED1zpvpBicrTpgHlypWpLKmv2TWZIQUoQIFiBHJcXLC+UydEah/c/ZKS0HXVanikpRVzFHdTgAJ6FGDAq8desXCd3Nzc8PHHH1tk+nbo84j48EPVgrVtWmPMb3PKXI47L4VQnpxRgALWF8h2dcW6zrcgJjAQ/omJ6LL6b3ikp1u/IhYskVlTwBkEGPA6Qy9bqY1hly6h87p1qrSdrVriYpUqapkzClCAAvYskOHhgXW3dkGCvz+C4+Jwy5q1cNO+JbPnNrHuFHA2AQa8ztbjpWpv8QfVOHkSXbQ/ApLy8A0NcKxePVnkRAEKUMAhBFK9vLCmS2ekaI8h0dHotH4DXLOyHKJtbAQFnEGAAa8z9LKF21jn6DG03bpNlXK8dm3svfFGtcwZBShAAUcSSPb1xequXZGmnfGtEB6OjuvWw8CRFRypi9kWBxZgwOvAnWuNpjU6cAA37dwJGeR9f+PG2NGmNWCQNfAfBShAAYcTSAzwx9+33ooMNzdUvHwZ7TduYtDrcL3MBjmiAANe8/eq0+TYfPceNN23X7V3V4sWONC0iVrmjAIUoIAjC8QFB2Ftl87IdHFB1fPn0Xz3bkduLttGAYcQYMDrEN1o/Ua03rYdDf79VxW8pV1bHG1QXy1zRgEKUOA/AcddiipfHhs7dlQNrH/0GNpsy72sS23gjAIU0J0AA17ddYn+KyRf4dU+cUJVdEOH9jhds6Za5owCFKCAMwlcqlwJGzrlBr21TpyEnAjgjWzO9AxgW+1JwOYBrz1hsa5ApzVrUe3sWWRpX+XJHcvnq1UjCwUoQAGnFThfpQpWq2t6XSEnArquXAWv1FSn9WDDKaBXAQa8eu0ZndVLxpyUN/LKly4h3d0dq7t1xeWKFXVWS1aHAnYtwMrbqUBEWAUs79kTCX5+KBcTg9uWLkOQ9minzWG1KeCQAgx4HbJbzdso+SnNbtpZi9DISKR6emJlj+6IDgkxbyHMjQIUoIAdCyT6+2tB720IDw2Ft3aGt/uKlah87rwdt4hVp4AtBcxfNgNe85s6VI4S7HZcvx5BcXFI8vbGqu7dkBAQ4FBtZGMoQAEKmEMgU/v262/t269jdevCNTsbnTZsQMP9B8yRNfOgAAXKKMCAt4yAjnx4xYuX1FdzoZFRiNfOXqzSzuzKWQxHbjPbZj8CrCkF9Cqw86ZW2Nmqpapes/370W7zFrXMGQUoYDsBBry2s9d1yU3+2YfOa9fCNyUF0cHB6sxuio+PruvMylGAAhTQi4D8vPqaW7sgw80VNU6fRvflK3gzm146x/HqwRaZIMCA1wQkZ0oilzB0/nsNGh88qJp9slYtrO7eDemenmqdMwpQgAIUME3gclgYjDezhURHq2/MAmLjTDuYqShAAbMKMOA1K6d9ZyZ3Ffdcugzyc5mZrq7Y1P5mbGvbBlnasn23jLUHCShAAZsIyGVgy3v+dzNbjxUrUOnCBZvUhYVSwJkFGPA6c+/na3vdI0fQc9ly+KSkIC4gQJ2VOFu9er4UXKQABShAgdIIGG9mO1qvHtyysnDLuvWoc+x4abLiMWYQYBbOKcCA1zn7Pa/VMr7uzZs2o9Wu3Wrb8bp1sPSOXkgI8FfrnFGAAhSggHkEdrVqiR033aQyu2nHDrTdvFktc0YBClhegAGv5Y11W4JffDxkrMjqZ84gwzX3Egbjm7FuK22VirEQClCAApYRkJMKq7reqsY0r3n6DHov/BMVeYmDZbCZKwXyCTDgzYfhTItVtSD3tuUrEKgFvTHBwVjW63bwEgZnegawrRSggK0EIitUwFLtPfdMtarwTU5G53Xr0X7jJmRFRdmqSoWXyz0UcBABBrwO0pGmNiMzPALnnhqADps2wz0zE0fr14PcUJHk52dqFkxHAQpQgAJlFEjz8sLmDh2woVNHpGjL1c6exck77kTMrFllzJmHU4ACBQkw4C1IxUG3xfzyC07364eU7duR7uaGDR07YFfL3MHRy9BkHkoBClCAAqUUOF+lirpv4mTtWshOTMSlDz7EqUceQdrRo6XMkYdRgAIFCTDgLUjFwbYlrl2L47f3wqUPRyL99Gl4NWumLmE4X7Wqg7WUzaEABShgS4HSlZ3u4YFtbdqg2ozv4K4FwCm79+DEXXcjfOyXpcuQR1GAAtcJMOC9jsRxNqQeOaqdKXgUZ599DumnTqk30ipfjEG1X35Gsq+v4zSULaEABSjgAALeWtBbZ/EilHviCcBgQNS0aTjWvQeStm4F/1GAAmUTYMBbNr8SH22NAzIvX8aF117HybvvRsru3XDx90eFV19F3VUrEXDnndaoAsugAAUoQIFSCBi8vBD2xuuo+esseNSqhYxz53DmiSfVN3SZERGlyJGHUIACIsCAVxQcZMpJTkbEuHE42rkL4hYsUK0q178f6q5YjpABT6l1zihAAQroRIDVKELA+8YbUWfJXyg/dKhKJfdgnOz7IMK/GIus2Fi1jTMKUMB0AQa8plvpOmXs3Lk4qn31FTllqqqnf/fuKtANe/NNuAYFqW2cUYACFKCAfQmEDnsedZcvg1/Xrsi8dAlR33yDo11uxeVRnyArOtq+GsPaUsCGAvoOeG0IYy9Fpx0+jOM9b8fFt99Rb37eLZqj1tzfUHXiBLhXq2YvzWA9KUABClCgEAH36tVRbfIk1F70JwJuvx05qamInjkzN/D99DNkRUYWciQ3U4ACRgEGvEYJO3tM2rQJF995Fyfu7QMZecG9alVU/eor1Jw1C15NmthZa1hdClCgOAHup4Bn3bqo8tWXqPPXYgTc1Rs56emI/v57HOnYCZc//hi8xpfPEQoULsCAt3Ab3e2R67aipk/Hsdt64syApxH722/qhrSwN99A3ZUr4H97T93VmRWiAAUoQAHzCnjUro0qo0ejzrKlCOzTR2Ue/eNPONrpltyb28J5c5tC4cxRBUrVLga8pWKz7kHJ27fj/Esv40i7mxE+5gtknDkDzxtuQKWPP0L9dWtRrn9/61aIpVGAAhSggM0FPGrUQOVPRqkTHoH35Qa+cnPb0VtuUd8A5qSk2LyOrAAF9CLAgFcvPXFNPbITEiCf2I/3ugOn+/VH/F9/weDpiaAHHkDNObNRe/48BN1/Pwze3tccyVUKUAAkoIATCcglbZVHaYHv6lUIfvgh1XL5BvBwi5a48OpratSe7KRktZ0zCjirAAPeMvZ8UlIS0tPTzTbFb9uOc9ob1L+t20CuyUo/eRLutWqh/FtvoeaaNQh59x24amd3S1um1LeMTebhFKAABSigQwH3ypVR8f33UW+t9rfi6QFqhJ64hQsh47L/26oVzg0fjoSly5CTlqbD2rNKlhJgvrkCDHhzHUo999TOuo4fPx5lmSaN+QJzXnoJezrdgvP9+yNBe4PKcnHB2fr1sPGu3pjfrSt+uHwJE7+dXqZypI5eXl6lbisPpAAFKEAB/Qu4hYWhwv/+h/pbNqP69Onat4H3wcXXVwW7EvT+2+5mFQQnrlun/8awhhQwkwADXjNAJiYmoqSTx6lTqLp1G1osWoyOv/+OVitXwT8uDnEBAdjVsiXm97kXm7THc9qbVEnzLiq9GZrLLBxOgA2iAAUcVcC3YwdU+vhjNNi5Qw1tFnDHHUBWlrrM4eygZ/Fvm7a4pJ0VlntFHNWA7aKACDDgFQUrTMHR0ah/6DA6rV2H++b+jh5agHvjvn2ofOkS3DMycLJWLazSzuQuvaMXjtavh0x3dyvUikVQgAIUoICeBNLS0nDy5EmLTBHa35n0Yc/D89dZcH/jdbi0bYPs+HjE/Dpb3StyuGMnHHnjTZzYudPk8uXyOj35lbkuzMBhBRjwWqhrA7SztXWPHEGH9Rtw7+9/4LblK9Bi715UvngR7pmZuKx95bS3WVMsv60H5t/XB9u0N57I0FAL1YbZUoACFKCAPQi4urrihx9+sOw0Zw5+0oLqWVoA/If8/WnTGpcqVEBOZCSy5s1D2mOPI7rPfTj9xBPY++JwrBo5EnOmTi2wTlJfe3BlHSnAgNdMzwG/xETUPn4c7TZtxt3zF6DXkqVotWs3qp4/D0/tDG5cYCAO39AAa2+5BXP7PoA1t3bB4UaNEFOunJlqwGysJMBiKEABCjiMQIaHN4LvkQAAEABJREFUB07Wro21XW9Vl9LJJXVR2t8ln9RUhIVHoIGcuJG/awsW4i5tunnjRtT791+U04Jjh0FgQ5xCgAGvmbq524qVaL19B2qcOQNv7Y0ixdMTp2vUwBbtzO38e+/B0l63Y2/z5rhUuRKytE/wZiqW2VCAAhSgAAXMIpCm/d2SS+pWyjeP2t+tDR074HDDGxBRvjzkRmqflBRUP3sOLXfvUZfl3T/nN5zr/wTCx4xBwqpVyIqONks9mAkFLCHAgNdMquerVFGXKey58UYs63kbFva5F1tubofTtWohjSMjmEmZ2VCAAhSggDUE5O/W+apVsVf7m7a6ezfMfbAvVmiPu1o0x9lqVZHs7Q237Gwk79yJqOnf4tzQ53GkfQfs69AROx/vh/UTJmD1vHlYuXKl7qZsrd7WMGQZ+hJgwGtifyQkJiMmLqHQ1DvatIZcpvCv9mk4Nji40HTOtoPtpQAFKEABxxCI1s70Hm3QAJs6dMCf99yNhdpU+csvEdSvH6JCQlQj3aKi4LNjB8pPmoxKb7yJKs8PU1PQ/16Fx/sfIOvz0YjX9l3+bgaOz5mD/QsXYpt2dnjDhg2w1pSTk6PqyplzCTDgLaa/k1NSMeytcWjXewg63jMMjwwZicjouGKO4m4KUIACFKDAVQIOt5KineX1u60HQl97FSt7dMfshx9Sow3t1s4Kn65eHVHayZ80Dw/Vbt+UFIRGRqL6mTNoeOgQWu7ahVvWrUfP5SvQZ9583P/bXPRavBid/16DNtu2ofH+/ah5/ATCLl+Gf3zhJ5tU5pxRwAQBBrzFIP0ybxWOnDiHv+d+hS2LJsPVxQXjpv9ezFHcTQEKUIACFHA+ARlt6Ij2TeeW9jdjZc/b1ChEEgj/dccd6lvQra1bY3+TxjhZuxYuVayIeH8/ZLq6wi0rCwEJiaioBbi1TpxEk/0H0Hb7dnTRAuA7/voLfeb+jltXrUaTffvR+JrphgMHUe/IUdTUjqt69qwKkkO04DogNhY+SUnwSOMvyznfM/H6FjPgvd7kqi1L/96GB3p3RoXyQfD380G/B3rgj7/WwSJfiVxVMlcoQAEKUIACjiGQEOCv7nM5Vac2DjRpgm1t2mBtl85Ycued+L3vA5jX5151/8u6WzqpH1861LAhzmhnieWGuSTtTLJHZiYqRESg8YEDaHLNdOO+feqMcVvtzHCHjZtUkNx95Sr0WroMd/25SJ1BfujX2Xhgzm+45495ONnzdpy4516cfrwfzjwzCOeHj8DFt97G5VGfIGL8BERMmIjIKVMQ9e13iP7xJ8TOmYO4+fMRv2QJElevRtL6DUjeth0pe/YgVTtbnX7iBDLOnUNmeASytCA7Rzub7Ri95litcHGs5pi/NafPXUb1KmF5GVerXEEtxycmq0eZBWtf29jLJPWVyV7qK/WU+soky/YySX1lspf6Sj2lvjLJsr1MUl+Z7KW+Uk+pr0yybC+T1Fcma9a3rGVJfWUqaz7WPF7qK5M1yyxrWVJfmcqaj692ttdQuzZSGzdGZNs2OKsFw4fvvAO7+z6AjU8+geWDn8NmbXnnHb2wt0d3HJD9HdrjWJvWONn8Rpxt3AgX69VDeM2aiKpcGXGhoUgKCkKqj0/eDzm5ZmfDKz1dBadp//6L5B07tOB1PeKXLkXs778jeuZMRE6ejMhJkxAxbjzCR4/G5Y8/xsV338OF19/A+REv4eyQoVqQ/AxO9++PUw8/gpN97sPxO+7Ese49cPSWW3Ck3c043KIlDmrb9+7dC3NN/IEPeZaVbXIp2+GOfbScxZVreL08c69BktZ6euT+AlpycqqsIjUtE4MHD7GbKTk1nXW2Qn/R2TqvCTrTubD3Xz43HO+58fg77+LBTz/DfV+Mxd3amdg7p0xFz+nfovvMH9Fl1q/oqAWtNy9ciDZaANty1So0W7cOjbdsQYOdO1Hnn39QW1uuoW2vqJ3lDfvpZ1TWzuBWmjABYVqeoVreIS+/jHKDByP4OW0aOBCB/foj8KGHENCnD/y04Nu3Rw/43NIZPu3awfumm+CpBeceWpDtXqMm3CpVgmtICFz8/GDw8ICvdiKsYcNGMNeUlpGlYg7OSi9gxwFv6Rtt6pEGgwE+3l5IS8/IO8S47OPjpbZ5asGwwcUV9jJ5eXqCdbZ8f9HZ8sbymqMzneV5UNDE5wafG9c+L1z8/OEeVhF+9evDv3lz+LRtC99bu8K/d28V2AY/NQDlhj6PkOe1afgIhL72GiQQrjDyI1T8bDQqffkVKmtngCtrQXaV739AtdlzUH3efNRYvBg1V6xErbXrtKB6K+rs2o3K074xa1wgz2cVdHBWagEGvMXQ1agahjPnL+elOnshXC0H+PmoR3c3F3CiAZ8DfA7Y9DnA9yG+D/M54PDPAfBfmQQY8BbD17NLa/z25xqER8YiMSkFP85dgfvuuAUGg6GYI7mbAhSgAAUoQAEKUMCaAoWVxYC3MJkr2x/t0x21a1TGrQ8MR9s7ByMjIxPDBtx3ZS8fKEABClCAAhSgAAX0LsCAt5ge8vXxwpRPR2DTn5Ow9o9xmP31e2qIsmIO424KUEC3AqwYBShAAQo4mwADXhN7PNDfF+XLBZqYmskoQAEKUIACFKCAzgWcqHoMeJ2os9lUClCAAhSgAAUo4IwCDHidsdfZZgqYLsCUFKAABShAAbsXYMBr913IBlCAAhSgAAUoYHkBlmDPAgx47bn3WHcKUIACFKAABShAgWIFGPAWS8QEFDBdgCkpQAEKUIACFNCfAANe/fUJa0QBClCAAhSwdwHWnwK6EmDAq6vuYGUoQAEKUIACFKAABcwtwIDX3KLMz3QBpqQABShAAQpQgAJWEGDAawVkFkEBClCAAhQoSoD7KEABywow4LWsL3OnAAUoQAEKUIACFLCxAANeG3eA6cUzJQUoQAEKUIACFKBAaQQY8JZGjcdQgAIUoIDtBFgyBShAgRIKMOAtIZg9JM/MysLliBhcvByFrKxsk6uckZGJ85cikZ6eYfIxTGgegTTN/NzFCETHJpQow6iYeMhUooOY2OICmaV8DVq8YiygUIHSvgYLzZA7bCpQmtdgckoq4uKTbFpvFm45AUcNeC0npvOcZy9YjRu7PY2ufUeg+0Mvo8fDL2P/vyeLrPXJMxfRb9goNO8xELc9/Ar+WLK+yPTcaV6Btz/7Fi1vewY9H/kfOt07TPVFbFxioYVkZ+fgm58XqbS39HkBtz/6al5aCZgbd3kS105bdh3MS8MFywqU9DUofX5tf8n6sZPnLVtR5p4nUJLX4Dzt/VH659rppfcnq/z4GlQMNp2V9DUoJ4iGvTUOne8brv5uyt/DQ0dP27QNLNz8Agx4zW9q0xx9vL0w9bOXsH3J19i8aDLq1qyCsVPnFFoneaH37v8GwkKD8eOEN7Fj6TT07NK60PTcYX6BapUr4Ldp72PPym+x5OfPcOrsRcz58+9CC/py2m+Y+dsyPNf/HqyfPwF/zhyVlzYnJ0ctT/3sZfz102d5042N6qrtnFleoKSvwV8mv5PXT9JnY94drCrp7+ejHss+Yw7FCZTkNdjjlpuu6i/ps2aN6iAk2F8Vw9egYrDprKSvwS+mzoac4d+0cKL2d3MSalariHHT59q0DSzc/AIMeM1vatMc77qtPTq1bQYfb08EaH8wA/x9ERSY+0aMAv79MGcpygX549O3BqFl0/rw9vJAcBHpC8iCm8oo8Gy/u9Cofk24u7miUoUQlVtQgJ96vHYWERWL7379Cy89+yAeu6+76ruKoeWuTYaqlcqjRtWwvEn69bpE3GARgZK+BiXYyt9XC5ZtwH133KI+hFqkgsz0OoGSvAb9fL3zXlfSb3Hxifjn4HH0e6DnVfnyNXgVh1VXSvoavHA5CqEhQXB3d4Obq6v2t7Aejpw4Z9U6szDLC6iA1/LFsARrCyxcvhHD352Ig0dOYdDjvQstfsO2fagcVh6vfDAFDz37Ad4f8z0uRUQXmp47LCMg101PnbkQ/V/8BC2a1sMd3dqhoH//HDyhNu8/fFJd+jDwldGQvlYb883Gfj0H8jWtnAmOS+A1aflorLYo/WLKazB/hbbvOYz1W/dhcP+782/mshUETH0NXluVsdo3Lg/f0xXVq1S4ahdfg1dx2GTF1NfggId7Yf7SDXjhnfH4e9NudcnYkCfutUmdWajlBBjwWs7WpjmfOH1R3cyUlZWN+ITkQuty/PQF+Pp4oVvHlhjwSC91ve+AEZ9BbmAr9CDuMLtAVnaOOqMgZ4ukvxKSUgosw/hhpHxIIJ566Ha0alYfb4z6BotXbVHpPT3c8WifbpCvWOXMvVzr+6QWRMsfc5WAs+IEzLbf1NegsUD5KnzMlNno37cnKlcsb9zMRysJmPoazF8d+XAiH1IGPX5X3ma+BvMobL5g6muwQd3q6qy9i8EFr478GgmJyWjeuK7N688KmFeAAa95PXWT2/BnHlDX5MpXoy9/MKnIej12Xw/IV0A9u7TB6Heew+lzl3HizMUij+FO8wp4e3lg7PtDsPjHT+Hm5opJM+YVWkCdGpW1M4D3oKv2IWVw/3tU361Yu0Oll69b33qxH555rLe67GHm+DdVIH342Bm1nzPrCZTkNSi1WrVhl/rA+fQjd8gqJysLlOQ1KFWTkwljv54N6S+5B0K2ycTXoCjoYzL1NfjSe5PQu0d7fPXh81j921i0bt4QjwwZicysLH00xGa1cKyCGfA6Vn9e15pa1Supoa4Ke+E2rFcDZ85fzjsuOzt3GLP0jMy8bVywnoDBYEBtrc+MZ3KvLblqpVDIWfmMzP/eiDO15YzMgvurQvlglUVKWrp65Mz6AsW9BqVG8vqUr8Cf6383ypcLlE2cbCRgMBT9GjRWa+maberD5FPa1+HGbQU98jVYkIp1txX1GkxKTlUfNG+oU01VSm4WlQ8xMkSZjGCkNnLmEAIMeB2iG/9rxOTv52PvweNI1QIcGVN3xuwlaNuioboQX1K99P5kjJk6WxbVdEe3tuomKEkr13r+OHeFuhGqbs0qaj9nlhVITEqBBDryxpqhBa7Sd/OWbEDrG29QBctXaw888x6WrN6q1ls0rQe5A/nrmQvVGMuSXvZ1aN1U7V+7eS+WaX+IpS/lDXvc9N9V+hu0r+xUAjPPmN31AiV9DUoOC5dtRERUnLqcQdY5WU+gpK9BqZlcIiR39g99qs91N/nyNShCtp1K8hqUS/rkRIKMjCPvm3I531+rtqhLHCRQtm1LWLo5BRjwmlNTB3lJ4Pqo9lVMq56D1Ji6ri4u+PDVAXk1O3nmAi5cisxbf/y+HmjbspFK2/6uoVi3dS8mjRquRmvIS8QFiwkYDAZs2nEAMjRc8+5PQ/ruts434cmHbldlZmfnQMaDjI1PVOsy8sb4kcPww2/L0KzbAJVertl98O4uan96Rgbe/uw7SF+27vWcFihvwYSPXkCgv6/az5nlBUr6Glz1xa0AAAogSURBVJThkGSouUGP92Y/Wb57rivBYCjZa1AykLHKExJT0O/+HrJ61cTX4FUcNlkp6WtQLmXw8HBX75vt735eXdL32VvPQkZsKEEDmFTnAgx4dd5BJa3ex68PxO7l32DZrNHYuGAifpr4FuTTqzGfed99hLHvDzWuQl7kMu6njNm7cvYXWDVnrLrhKS8BFywqIGcX5n7zAbb9NVWNwSvjJ0sfyo0vUnBggC8OrPkej9zbTVbVdPNNjdVYkct/HYPtS6ZCrtk1vjHLGKGbF03C6t++VNO6eePRrlUjdRxn1hH4uISvQenr9fMnQK67tk4NWUp+gdK8BmVUBnntydff+fOSZb4GRcG2U0lfg3Jp3/iRL6j3Yfk7OOXTEWjasLZtG8HSzS7AgNfspLbPUIJYCXKDAgsey7WgGsqZw0phITAYDAXt5jZzCBSRh/zRrV4lDDJ+chHJ8nZJgFulYnktvVfeNuOC7JObaGQyGNifRhdrPpbmNWjN+rGs6wVK+hq8Pof/tvA1+J+FrZZK8xqU54CcZLBVnVmuZQUY8FrWl7lTgAIUoAAFKHCNAFcpYG0BBrzWFmd5FKAABShAAQpQgAJWFWDAa1VuFma6AFNSgAIUoAAFKEAB8wgw4DWPI3OhAAUoQAEKWEaAuVKAAmUWYMBbZkJmQAEKUIACFKAABSigZwEGvHruHdPrxpQUoAAFKEABClCAAoUIMOAtBIabKUABClDAHgVYZwpQgALXCzDgvd6EWyhAAQpQgAIUoAAFHEjAKQNeB+o/NoUCFKAABShAAQpQoBgBBrzFAHE3BShAAQcWYNMoQAEKOIUAA16n6GY2kgIUoAAFKEABCjivQPEBr/PasOUUoAAFKEABClCAAg4gwIDXATqRTaAABawjwFIoQAEKUMA+BRjw2me/sdYUoAAFKEABClDAVgJ2Vy4DXrvrMlaYAhSgAAUoQAEKUKAkAgx4S6LFtBSggOkCTEkBClCAAhTQiQADXp10BKtBAQpQgAIUoIBjCrBVthdgwGv7PmANKEABOxDYe/A4Hn/+YyxasVk9Nu7yJJ4c/inOnL+Mv1ZtxUPPfoDWvZ7DqPE/4+LlqLwWZWVl44ffluHuJ96EHNNnwNtYtmZ73v7NOw7ggWfeU8ca9y9cvjFvf0pquirv1wWr8cqHU1S6fsNGYfnaHXlpuEABClCAAkULMOAt2od7KWAlARajd4H4hCTs3n8Ur338NVo2rYc3X3gMx0+dR6/HXsN7Y2agQ5smGPrUvZi3ZL0KcI3tGTd9LiZ+Nw9d2jfHuJHDUKdmFbz0/iRIAC1p4hOT0LRhbbw9vB/Gvj8U9etUwxujvsGufUdlNzIzM1W5I7+cCReDAS892xe+Pp4Y8d5ExCcmqzScUYACFKBA0QIMeIv24V4KUIACVwn88e1ILeh8EI/d1wNPPdxL7ftz5ii88PT9ePLB2/Fon274e+NutT0qJh7fzvoLz/W/Wx3TvVMrfPrWIPh4e2HJ6q0qTc8ubfDeS0/g7tvao13LRni2391q+94Dx9SjcfbWi/3w+TvP4ZF7u2HUG4Mg/+TssDxyooBDCbAxFLCAAANeC6AySwpQwHEFAvx98xpXvlygWvb39VGPMpNt5y5GyCJOnrmoHucs/FtdtiCXLjz83IdITknF2Qvhal9MXALe+nQ62twxGO3vHoq7+r+htqekpatH4ywowM+4iHJB/mr5YniUeuSMAhSgAAWKFmDAW7QP9+pTgLWigC4EXAzXv4W6urrm1U2uv5WV/n174sWB9+dNUz97STvre4/swpA3vsK6LXvx/itPYsnPn2H7kq/zAlqVgDMKUIACFCizwPXv1mXOkhlQgAIUoIAI1KgaJg9wd3NFp7bNrpqaNKiJxKQU/HPwOJ548Hbc2a0dqlcJg4+3pzqGMwqYJsBUFKCAKQIMeE1RYhoKUIACpRCoXqUCunVqiQ/G/oC5i9aqSxx27P0XY7+eg3HTf4efrzca1quBFWt3YNvuw5BrcmUkhujYhFKUxkMoQAEKUKAwAQa8hck40HY2hQIUMJ+AwfBfXgaX3JX82/7bm7s08tWn8eDdt6qRHHr3fwNPvPiJGsmhQZ1qKsGIQX0RG5+Ip0Z8ioGvjIara+7bsjFPgyG3DJX4mpnBUPi+a5JylQIUoIBTC+S+szo1ARtPAQpQoHgBuSThwJrvUTG0XF5iuQxBtsmoC8aNMkqDbDOuB/r7qlEY9q76Fitnf4ENCyZg/fwJ6NW1rUrSoXUTLP3lcyya+Qk2/TkJn731LOT4wf1zr/GVs8Cyfke33PTqIG0m257o21Nb4v8SCDApBSjgpAIMeJ2049lsClDAugJurq6oFBaC4ED/6wo2GAyoVb0SJDi+bic3UIACFKBAmQUY8F5LyHUKUIACFKAABShAAYcSYMDrUN3JxlCAAhQwnwBzogAFKOAoAgx4HaUn2Q4KUIACFKAABShAgQIFyhjwFpgnN1KAAhSgAAUoQAEKUEA3Agx4ddMVrAgFKGDXAqw8BShAAQroVoABr267hhWjAAUoQAEKUIAC9iegxxoz4NVjr7BOFKAABShAAQpQgAJmE2DAazZKZkQBCpguwJQUoAAFKEAB6wkw4LWeNUuiAAUoQAEKUIACVwtwzSoCDHitwsxCKEABClCAAhSgAAVsJcCA11byLJcCpgswJQUoQAEKUIACZRBgwFsGPB5KAQpQgAIUoIA1BVgWBUonwIC3dG48igIUoAAFKEABClDATgQY8NpJR7GapgswJQUoQAEKUIACFMgvwIA3vwaXKUABClCAAo4jwJZQgAJXBBjwXoHgAwUoQAEKUIACFKCAYwow4HXMfjW9VUxJAQpQgAIUoAAFHFyAAa+DdzCbRwEKUIACpgkwFQUo4LgCDHgdt2/ZMgpQgAIUoAAFKEABTYABr4Zg+n+mpAAFKEABClCAAhSwNwEGvPbWY6wvBShAAT0IsA4UoAAF7EiAAa8ddRarSgEKUIACFKAABShQcgFLBrwlrw2PoAAFKEABClCAAhSggJkFGPCaGZTZUYACFLhegFsoQAEKUMCWAgx4banPsilAAQpQgAIUoIAzCdiorQx4bQTPYilAAQpQgAIUoAAFrCPAgNc6ziyFAhQwXYApKUABClCAAmYVYMBrVk5mRgEKUIACFKAABcwlwHzMJcCA11ySzIcCFKAABShAAQpQQJcCDHh12S2sFAVMF2BKClCAAhSgAAWKFmDAW7QP91KAAhSgAAUoYB8CrCUFChVgwFsoDXdQgAIUoAAFKEABCjiCAANeR+hFtsF0AaakAAUoQAEKUMDpBBjwOl2Xs8EUoAAFKEABgAYUcCYBBrzO1NtsKwUoQAEKUIACFHBCAQa8TtjppjeZKSlAAQpQgAIUoID9CzDgtf8+ZAsoQAEKUMDSAsyfAhSwawEGvHbdfaw8BShAAQpQgAIUoEBxAv8HAAD//6pVAtsAAAAGSURBVAMA0Bc1EUHehUYAAAAASUVORK5CYII=", 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    " + "
    " ], "text/plain": [ "Figure({\n", @@ -436,7 +436,7 @@ }, { "cell_type": "markdown", - "id": "9400d2e5", + "id": "ecac5c11", "metadata": {}, "source": [ "## Faceted regression-coefficient plots\n", @@ -447,7 +447,7 @@ { "cell_type": "code", "execution_count": 9, - "id": "27235b62", + "id": "bb28fe8d", "metadata": {}, "outputs": [ { @@ -455,7 +455,7 @@ "image/png": 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"text/html": [ "
    \n", - "
    " + "
    " ], "text/plain": [ "Figure({\n", @@ -617,7 +617,7 @@ }, { "cell_type": "markdown", - "id": "44f206e4", + "id": "24288ccc", "metadata": {}, "source": [ "## Model plots" @@ -626,7 +626,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "c0b827d4", + "id": "1d4e8846", "metadata": {}, "outputs": [ { @@ -647,7 +647,7 @@ { "cell_type": "code", "execution_count": 11, - "id": "444a8cc1", + "id": "3432c70f", "metadata": {}, "outputs": [ { @@ -667,7 +667,7 @@ { "cell_type": "code", "execution_count": 12, - "id": "ef1afba8", + "id": "19d2bdea", "metadata": {}, "outputs": [ { @@ -687,7 +687,7 @@ }, { "cell_type": "markdown", - "id": "00a27be2", + "id": "3f607625", "metadata": {}, "source": [ "## Saving figures\n", diff --git a/doc/_build/jupyter_execute/guides/regression.ipynb b/doc/_build/jupyter_execute/guides/regression.ipynb index 7773589..0e8a0fb 100644 --- a/doc/_build/jupyter_execute/guides/regression.ipynb +++ b/doc/_build/jupyter_execute/guides/regression.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "5d0e90bb", + "id": "31deea63", "metadata": { "tags": [ "remove-input" @@ -19,7 +19,7 @@ }, { "cell_type": "markdown", - "id": "ef26a4ed", + "id": "2087cc5a", "metadata": {}, "source": [ "# Regression\n", @@ -34,7 +34,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "5054187e", + "id": "688504a6", "metadata": {}, "outputs": [], "source": [ @@ -51,7 +51,7 @@ }, { "cell_type": "markdown", - "id": "fc6f4e56", + "id": "fcb160bb", "metadata": {}, "source": [ "## Coefficient table (with confidence intervals)" @@ -60,7 +60,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "c50f6c5e", + "id": "7c56b980", "metadata": {}, "outputs": [ { @@ -99,7 +99,7 @@ }, { "cell_type": "markdown", - "id": "f7c5eaa5", + "id": "f6f1f475", "metadata": {}, "source": [ "Change the confidence level with `conf_level=` (e.g. `0.99`).\n", @@ -110,7 +110,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "515950b6", + "id": "d10f13e3", "metadata": {}, "outputs": [ { @@ -152,16 +152,70 @@ }, { "cell_type": "markdown", - "id": "31b00a1e", + "id": "dfa72198", "metadata": {}, "source": [ - "## Model-fit summaries" + "Pass `ID=` to label rows by a column, and `newdata=` to predict on a held-out set\n", + "(a `residual` is included when the outcome is present in `newdata`):" ] }, { "cell_type": "code", "execution_count": 5, - "id": "1b794cc8", + "id": "ee236ebf", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
    \n", + "shape: (5, 6)
    IDpriceliving_areabedroomsprice_hatresidual
    i64i64i64i64f64f64
    111351411422113390.574123.426
    210253012022119122.741-16592.741
    37597513003121229.32-45254.32
    412843415083141100.831-12666.831
    518548722713213994.885-28507.885
    " + ], + "text/plain": [ + "shape: (5, 6)\n", + "┌─────┬────────┬─────────────┬──────────┬────────────┬────────────┐\n", + "│ ID ┆ price ┆ living_area ┆ bedrooms ┆ price_hat ┆ residual │\n", + "│ --- ┆ --- ┆ --- ┆ --- ┆ --- ┆ --- │\n", + "│ i64 ┆ i64 ┆ i64 ┆ i64 ┆ f64 ┆ f64 │\n", + "╞═════╪════════╪═════════════╪══════════╪════════════╪════════════╡\n", + "│ 1 ┆ 113514 ┆ 1142 ┆ 2 ┆ 113390.574 ┆ 123.426 │\n", + "│ 2 ┆ 102530 ┆ 1202 ┆ 2 ┆ 119122.741 ┆ -16592.741 │\n", + "│ 3 ┆ 75975 ┆ 1300 ┆ 3 ┆ 121229.32 ┆ -45254.32 │\n", + "│ 4 ┆ 128434 ┆ 1508 ┆ 3 ┆ 141100.831 ┆ -12666.831 │\n", + "│ 5 ┆ 185487 ┆ 2271 ┆ 3 ┆ 213994.885 ┆ -28507.885 │\n", + "└─────┴────────┴─────────────┴──────────┴────────────┴────────────┘" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "train = houses.head(800)\n", + "test = houses.tail(200)\n", + "model_train = smf.ols(\"price ~ living_area + bedrooms\", data=train.to_pandas()).fit()\n", + "get_regression_points(model_train, newdata=test).head()" + ] + }, + { + "cell_type": "markdown", + "id": "5ec177e9", + "metadata": {}, + "source": [ + "## Model-fit summaries" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "bf10de3e", "metadata": {}, "outputs": [ { @@ -187,7 +241,7 @@ "└───────────┴───────────────┴──────────┴───────────┴───┴───────────┴─────────┴─────┴──────┘" ] }, - "execution_count": 5, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -199,7 +253,7 @@ }, { "cell_type": "markdown", - "id": "ea6b89c2", + "id": "e82bcbe9", "metadata": {}, "source": [ "## Correlation" @@ -207,8 +261,8 @@ }, { "cell_type": "code", - "execution_count": 6, - "id": "61e2639f", + "execution_count": 7, + "id": "6952780a", "metadata": {}, "outputs": [ { @@ -234,7 +288,7 @@ "└──────────┘" ] }, - "execution_count": 6, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -246,7 +300,53 @@ }, { "cell_type": "markdown", - "id": "6d485656", + "id": "89f364b0", + "metadata": {}, + "source": [ + "Use `method=` for rank correlations (`\"spearman\"` or `\"kendall\"`):" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6889c284", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
    \n", + "shape: (1, 1)
    cor
    f64
    0.770381
    " + ], + "text/plain": [ + "shape: (1, 1)\n", + "┌──────────┐\n", + "│ cor │\n", + "│ --- │\n", + "│ f64 │\n", + "╞══════════╡\n", + "│ 0.770381 │\n", + "└──────────┘" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_correlation(houses, \"price ~ living_area\", method=\"spearman\")" + ] + }, + { + "cell_type": "markdown", + "id": "d5171ed3", "metadata": {}, "source": [ "Pass several predictors on the right-hand side to get one correlation per\n", @@ -255,8 +355,8 @@ }, { "cell_type": "code", - "execution_count": 7, - "id": "1cafe223", + "execution_count": 9, + "id": "d8200888", "metadata": {}, "outputs": [ { @@ -284,7 +384,7 @@ "└─────────────┴──────────┘" ] }, - "execution_count": 7, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -295,7 +395,7 @@ }, { "cell_type": "markdown", - "id": "de40d585", + "id": "e5a0acd4", "metadata": {}, "source": [ "## Logistic & other GLMs\n", @@ -308,8 +408,8 @@ }, { "cell_type": "code", - "execution_count": 8, - "id": "6273f770", + "execution_count": 10, + "id": "a74e11cd", "metadata": {}, "outputs": [ { @@ -337,7 +437,7 @@ "└───────────┴──────────┴───────────┴───────────┴─────────┴──────────┴──────────┘" ] }, - "execution_count": 8, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -353,8 +453,8 @@ }, { "cell_type": "code", - "execution_count": 9, - "id": "7030a80c", + "execution_count": 11, + "id": "740b9b26", "metadata": {}, "outputs": [ { @@ -380,7 +480,7 @@ "└───────┴───────┴──────────┴───────────────┴───┴──────────┴─────────────┴─────────┴──────┘" ] }, - "execution_count": 9, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -391,7 +491,7 @@ }, { "cell_type": "markdown", - "id": "4b3ee786", + "id": "9db7f365", "metadata": {}, "source": [ "## 3D regression plane\n", @@ -402,8 +502,8 @@ }, { "cell_type": "code", - "execution_count": 10, - "id": "5892704c", + "execution_count": 12, + "id": "0a88a174", "metadata": {}, "outputs": [ { @@ -422,7 +522,7 @@ }, { "cell_type": "markdown", - "id": "525841b3", + "id": "e636e97a", "metadata": {}, "source": [ "## Visualizing models\n", @@ -432,8 +532,8 @@ }, { "cell_type": "code", - "execution_count": 11, - "id": "8ea11f27", + "execution_count": 13, + "id": "b3213ba9", "metadata": {}, "outputs": [ { @@ -460,7 +560,7 @@ }, { "cell_type": "markdown", - "id": "b3564054", + "id": "d25d86a7", "metadata": {}, "source": [ "For the plotnine engine you can also drop the parallel-slopes lines onto your own\n", @@ -475,8 +575,8 @@ }, { "cell_type": "code", - "execution_count": 12, - "id": "8e772ac1", + "execution_count": 14, + "id": "14dde275", "metadata": {}, "outputs": [ { @@ -484,7 +584,7 @@ "image/png": 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", "text/html": [ "
    \n", - "
    " + "
    " ], "text/plain": [ "Figure({\n", @@ -657,7 +757,7 @@ "})" ] }, - "execution_count": 12, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -686,7 +786,7 @@ }, { "cell_type": "markdown", - "id": "34f3ee26", + "id": "831a9a5a", "metadata": {}, "source": [ "Per-facet shading works in both engines: `shade_p_value` / `shade_confidence_interval`\n", @@ -727,21 +827,25 @@ 43, 50, 53, - 57, - 60, - 64, + 58, + 63, 67, - 72, + 70, 74, + 77, + 81, 83, - 92, - 94, - 101, - 105, - 111, - 123, - 134, - 154 + 88, + 90, + 99, + 108, + 110, + 117, + 121, + 127, + 139, + 150, + 170 ] }, "nbformat": 4, diff --git a/doc/_build/jupyter_execute/guides/sampling.ipynb b/doc/_build/jupyter_execute/guides/sampling.ipynb index 4b0c17d..41202ba 100644 --- a/doc/_build/jupyter_execute/guides/sampling.ipynb +++ b/doc/_build/jupyter_execute/guides/sampling.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "e0899046", + "id": "796ec099", "metadata": { "tags": [ "remove-input" @@ -19,7 +19,7 @@ }, { "cell_type": "markdown", - "id": "5b70ff0f", + "id": "d74ec7f2", "metadata": {}, "source": [ "# Sampling\n", @@ -35,7 +35,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "a7832c1b", + "id": "6465e6d9", "metadata": {}, "outputs": [ { @@ -80,7 +80,7 @@ }, { "cell_type": "markdown", - "id": "d284fb1e", + "id": "c3b5bffa", "metadata": {}, "source": [ "## One virtual sample" @@ -89,7 +89,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "ab0f1f86", + "id": "3a6f860c", "metadata": {}, "outputs": [ { @@ -130,7 +130,7 @@ }, { "cell_type": "markdown", - "id": "5a362c72", + "id": "21fa548e", "metadata": {}, "source": [ "## Many samples → a sampling distribution\n", @@ -141,7 +141,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "dd29762c", + "id": "dd87ef29", "metadata": {}, "outputs": [ { @@ -189,7 +189,7 @@ }, { "cell_type": "markdown", - "id": "6a8b0b2e", + "id": "f95f8c2c", "metadata": {}, "source": [ "That `prop_red` column is a **sampling distribution**. Visualize its spread the\n", @@ -205,7 +205,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "44426dbd", + "id": "9f1e1123", "metadata": {}, "outputs": [ { @@ -252,7 +252,7 @@ }, { "cell_type": "markdown", - "id": "d042adf9", + "id": "ef33d47a", "metadata": {}, "source": [ "## Tactile samples\n", @@ -263,7 +263,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "021f8d21", + "id": "7e4b57d8", "metadata": {}, "outputs": [ { @@ -310,7 +310,7 @@ }, { "cell_type": "markdown", - "id": "3d4b4ffb", + "id": "ac18d226", "metadata": {}, "source": [ "```{seealso}\n", diff --git a/doc/_build/jupyter_execute/guides/theory-based.ipynb b/doc/_build/jupyter_execute/guides/theory-based.ipynb index 1ab241e..e73813d 100644 --- a/doc/_build/jupyter_execute/guides/theory-based.ipynb +++ b/doc/_build/jupyter_execute/guides/theory-based.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "5a76ee0c", + "id": "da66a88d", "metadata": { "tags": [ "remove-input" @@ -19,7 +19,7 @@ }, { "cell_type": "markdown", - "id": "b603386f", + "id": "17e186af", "metadata": {}, "source": [ "# Theory-based inference\n", @@ -34,7 +34,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "2715e1df", + "id": "694857bd", "metadata": {}, "outputs": [ { @@ -89,7 +89,7 @@ }, { "cell_type": "markdown", - "id": "142aed61", + "id": "2b112003", "metadata": {}, "source": [ "`t_stat` and `chisq_stat` return just the test statistic if that's all you need.\n", @@ -103,14 +103,14 @@ { "cell_type": "code", "execution_count": 3, - "id": "fdb5a484", + "id": "7184c665", "metadata": {}, "outputs": [ { "data": { "image/png": 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ZpNmttxri+Z98KhUnTliSEwAAiF8UAAEAAGJQ+eHDUvD556ZLU1VxCuGXMXmSJLRtq4v5y8ok753pDD8AAGhSFAABAABiUN4774h4vbqY6vqbPn68ZTnFG5vTKc1uvNEQz5s+XXwlJZbkBAAA4hMFQAAAgBjjKy6W0+9/YIg3u/UWsTkcluQUr7KuvELsaWm6mDcvT/I//sSynAAAQPyhAAgAABBj8mfPFm9+vi5mz8iQzGnTLMspXjnS0yXryitNm4H4fT5LcgIAAPGHAiAAAEAM8fv9kvfWfwzxrCuuEHtqqiU5xbtmN90oUm3mZdmePeJevMSynAAAQHyhAAgAABBDitasldLt2/VBu12yr7vOqpTinrNdO8mYPNkwDqfeMHZpBgAACAcKgAAAADEk7z9vGWLp48dJYof2luSD/2p2662GoShau1aKv/6aIQIAAGFHARAAACBGlB04KIULFhri2TcYO9GiaaX07SOpAweadgQGAAAINwqAAAAAMSLvnXdEqjWWSDrzTEkdPMiynKDvwlxdwezPDA1bAAAAQo0CIAAAQAzwFRXJ6Q8/NMSzb7xBbDabJTlBzzVmjCS0a6uL+UtKJP/jjxkqAAAQVhQAAQAAYkD+p7PEV1CgizkyMyXzwgstywl6NodDsq+62jAsee9MF3+1mZsAAAChRAEQAAAgyvn9fjll0vwj66orxZ6SYklOMJd1xeUiTqcuVrZ3rxStWsWQAQCAsKEACAAAEOVU8ajs+536oJptdu21VqWEGiS0aCEZkyYZ4jQDAQAA4UQBEAAAIMqpJaTVpU+YIM527SzJB7XLvs5YmFXdm8uPHGHoAABAWFAABAAAiGLlx45J4aJFhnizG663JB/ULaV/f607s47PJ6fff5/hAwAAYUEBEAAAIIrlz/xYpKJCF0vs3k1SBg60LCfUTnVlNpsFmPfBB+IvK2P4AABAyFEABAAAiFKqc+zpDz4wxLOvukorMiFyZVx4kdjT0nQx7/ETUrhggWU5AQCA2EUBEAAAIEp5Vq6U8gMHdDFbUpJkTptmWU4IjsOVJpkXXxzUfo4AAACNRQEQAAAgSp1+z7hnXMaUyeLIyrIkH9RP9rXXGGJFa9dKyfbtDCUAAAiphNAeDqHm8/mksLCQgY0wFRUVvC6w7JyQnp4upaWlUl5ezquAJsf5L3J4T5gvF0288MKY+z8qZs99bdpIYv/+UrZhgy587K3/SPb/3mtZWjDi3AcrxOy5D1GDc1/knhsaggJghLPb7dpJH5FFfbDidYEVSkpK5OjRo5KdnS3Jycm8CGhynP8ix4np74p4vYbmH81Hjoy5/f9i+dznv/EGOVitAFg8d650ePABscfYc41mnPtghVg+9yE6cO6L3DpRgx4X8kwAAAAQVjT/iB3pEyaIo3lzXcxXUCCFX863LCcAABB7KAACAABEY/OP/ft1MVtiIs0/opDN6TRtBnJ6xgxL8gEAALGJAiAAAECUOf3+B4ZYOs0/olbWFZcbYkWrVklZtSIvAABAQ1EABAAAiCIVNTT/yL76akvyQeMlde0qKeedZ4if/ugjhhcAAIQEBUAAAIAocnrmTNWWTxdL7NZNUvr3tywnNF7W5ZcZYvkzPxZ/tUYvAAAADUEBEAAAIEr4/X45/eGHhnj2VVfGXOffeJM+ZarYUlN1sYojR8SzYoVlOQEAgNhBARAAACBKFH/1lZTv3Wds/mHSRALRxeFKk4ypUwzx0x/SDAQAADQeBUAAAIAoka+W/1aTPnGiOLKyLMkHoZV1+RWGWOHChVJx6hRDDQAAGoUCIAAAQBTwFRdLwedfGOKZl1xiST4IvZTzzpXErl31wfJyyf/0U4YbAAA0CgVAAACAKFA4f774PB5dLKFVK0kbPsyynBBaah/HrMsvN8TzZ8zQ9n8EAABoKAqAAAAAUbr8V+39Z3M4LMkH4ZF5ycUiCQm6WOmO76Vk82aGHAAANBgFQAAAgAhXfviweFauMsQzL2X5b6xJaN5c0seOMcRpBgIAABqDAiAAAECEy//kU5FqS0BT+vWTpOr7xSEmZJosAy74/HNtH0gAAICGoAAIAAAQwdTeb6bLfy+91JJ8EH6ukSO1/R0Dqf0fVUdgAACAhqAACAAAEMGKv9ooZXv36mK2xETJOH+qZTkhvGwJCZI57SJDnG7AAACgoSgAAgAARDCz2X/pE8aLIyPDknzQNDKmTTPEPMuWS8WJE7wEAACg3igAAgAARCi151vBF18Y4iz/jX3JZ54pST176oNer7YXIAAAQH1RAAQAAIhQhfMXiM/t1sXU3nBpw4dblhOaTubFxlmA+R9/wksAAADqjQIgAABAhDJt/nHxNLE5HJbkg6aVecEFInb9r+sl33wjpd9/z0sBAADqhQIgAABABCo/elQ8K1ca4pmXXGJJPmh6CS1bStqIEYZ4/ief8nIAAIB6oQAIAAAQgQpmfybi9+tiyf3OkaRu3SzLCU0v06QZSP7s2eL3+Xg5AABA0CgAAgAARCBV5AmmGITYpjo+21NTdbGKw4elaM1ay3ICAADRhwIgAABAhFF7vJVu26YPOhySMXWqVSnBIvaUFEmfPNkQz/+UZcAAACB4FAABAACiYPZf2ojhktCsmSX5IPK6ARfOnSu+4mJL8gEAANGHAiAAAEAE8fv9/93/r5rMiy6yJB9YL3XwYElo00YX83k8UrhwoWU5AQCA6EIBEAAAIIIUf7VRyg8c0MVsahnouHGW5QRr2ex2ybzoQkM8/5NPLMkHAABEHwqAAAAAEaTAZPlv+vjxYk9LsyQfRAazBjCe5Suk4sQJS/IBAADRhQIgAABAhPCXl0vBF18Y4hkXXmBJPogcST16SFKvnvqg1ysFc+ZalRIAAIgiFAABAAAihGfFCvHm5elijuxscY0YYVlOiOxZgAWfGfeLBAAAqI4CIAAAQITIn2Vc/psxdYrYnE5L8kFkyZh6vojNposVf/WVlB88aFlOAAAgOlAABAAAiAC+oiIpXLDAEM+40Nj8AfHJ2bqVpA4aZIibLRsHAAAIRAEQAAAgAhQuWCj+4mJdzNm+vaScd55lOSHyZJx/viGW/9nnluQCAACiBwVAAACACJA/e5bp7D9btSWfiG/pkyeJJCToYqXbtknprl2W5QQAACIfBUAAAACLVZw6JZ5lyw3xzItY/gu9hOxsSRs+zDAsBcwCBAAAtaAACAAAYLHCuXNFvF5dLOnssyWpe3fLckLkyrzgAtNuwH6/35J8AABA5KMACAAAYLGCz41NHJj9h5q4xo8XW1KSLla2Z4+2FBgAAMAMBUAAAAALlR89JkXr1gXV7AFQHC6XuHJyDIOR/9lnDBAAADBFARAAAMDq5b/Vlm6qzr/Otm0tywmRz6xAXPDFF+L3+SzJBwAARDYKgAAAABYqmDPHEMuYOsWSXBA9XGNyxJ6aqotVHDosxRs3WpYTAACIXBQAAQAALFJ++LAUb9igD9pskj6ZAiBqZ09OFteE8YZ4wWyWAQMAACMKgAAAABYpmDPXEEsdMECcrVtZkg9ioBvw3Lnir6iwJB8AABC5KAACAABYpGCOsftvOst/EaS0YcPEkZmpi3lPnhTP6tWMIQAA0KEACAAAYIGyAwelZNNmfdBul4zJk3k9EBRbYqKkm7xfVDMQAACAQBQAAQAALFBoMvsvdfBgSWjRgtcDQcswWQbs/nK++MvLGUUAAFCFAiAAAIAFCr4w6f47heYfqJ/UgQPEUa1o7M3PF8/qNQwlAACoQgEQAACgiZXt3SslX3+tDzockj55Eq8F6sWm3jcTJxjihXONBWYAABC/KAACAABEwOy/tKFDJSE7m9cC9ZYx2ThztJBlwAAAIAAFQAAAgCZWMMdk+S/df9FAqYMGiqN5c13Me/q0FK1dy5gCAAANBUAAAIAmVLprt5R++60+mJAg6ROMyziBxiwDLpgzlwEEAAAaCoAAAABNqOCLzw2xtBHDxZGVxeuABjNrIFP45Zfir6hgVAEAAAVAAACAplRoMisrY8pUXgQ0SurAgeKotoekNy+PZcAAAEDDDEAAAICmXP67Y4c+6HRK+vhxvAZoFJtaRj5xoiHOMmAAAKBQAAQAAGgihfPmGWKu4cPFkZHBa4BGy5gy2fieYxkwAACgAAgAAGBtATB90iReAoRE6uDBxmXAp05J0br1jDAAAHGOGYAAAABNoOzAASn55ht90OEQ17ixjD9CtwzYpJt0wdw5jDAAAHGOAiAAAEATKJz3pSGWNmSwJFSbsQU0RrrpMuD54vd6GVgAAOIYBUAAAIAmUDjX2P03fZKxWAM0RtqQIeLIytLFvCdOsAwYAIA4RwEQAAAgzMqPHJHiTZv0QZtN0ieMZ+wRhm7AxmXAhSwDBgAgrlEABAAACDO1BLO61AEDJKFFC8YeIZc+eYohVqC6Aft8jDYAAHGKAiAAAECY0f0XTUntLenIzNTFvMdPSPHGarNQAQBA3KAACAAAEEYV2v5r6wzx9EkTGXeEhc3pFNe4cYZ44ZfGRjQAACA+UAAEAAAIo8L5C0T8fl0spV8/cbZpw7gjbNInTjQtAPqrvRcBAEB8oAAIAAAQRiz/hRXSRgwXW2qqLlZ+4ICUfvstLwgAAHGIAiAAAECYVOTliWf1akM8ffIkxhxhZU9KElfOaEOcZcAAAMQnCoAAAABh4l64SMTr1cWSe/WSxA4dGHOEXUYNy4ABAED8oQAIAAAQJiz/hZXSRudoDUECle74Xkp377YsJwAAYA0KgAAAAGHgdbvFs2KFIZ4+ieW/aBoOV5qkjRhhiBfOn89LAABAnKEACAAAEAae3Fzxl5frYkk9uktS1y6MN5pM+sQJhljhlxQAAQCINxQAAQAAwqBw/gJDLN1kTzYgnFzjxonY9b/yl2zeLOWHDzPwAADEEQqAAAAAIeYrKxP3kiWGuGv8eMYaTSohO1tSBw0KqkANAABiFwVAAACAECtavUZ8Ho8ultC2rdYBGGhqZjNP6QYMAEB8oQAIAAAQYoULjHuspY8fLzabjbFGk0ufYJx5WrRunVScOsWrAQBAnKAACAAAEEJ+n0/cCxYGVYQBmoKzTRtJ7neOPqjepwuN71MAABCbKAACAACEUMmWLVJx/Lj+F67MTEkdMIBxhmUyTJYBF3z5pSW5AACApkcBEAAAINzdf8fkiM3pZJxhmfQJEwyxohUrxet2W5IPAABoWhQAAQAAQqhwgbEASPdfWC3xjDMkqUcPXcxfXi6e3FzLcgIAAE2HAiAAAECIlO7aJWW7dulitqQkcY0cyRjDcukTjbMAC032qwQAALGHAiAAAEAYZ/+ljRgh9tRUxhiWc40zNqJx5+ZqMwEBAEBsowAIAAAQIm6z/f/G0/0XkSG5dy9JaNNGF/MVFkrR2rWW5QQAAJoGBUAAAIAQKD92TIo3bar2m5ZdXGPHML6ICDabTdLHjTXEWQYMAEDsowAIAAAQAu6Fxr3UUvv3l4RmzRhfRPQy4MKFC8Xv91uSDwAAaBoUAAEAAEKg0GT5r2sCy38RWdIGDxK7y6WLVRw+LKXbtlmWEwAACD8KgAAAAI3kLSwUz+rVhjj7/yHS2BITxTV6lCHOMmAAAGIbBUAAAIBGUp1UpVon1aSzzpLEjh0ZW0TNMmAAABC7EiSOqL1NTpw4IaWlpdK8eXNJSUlp9DHdbrecOnVKu96sWTNxVVtSAQAAYp97Ad1/ET20GYAJCSIVFVUxtQS4/OBBcbZvb2luAAAgPOKiAFheXi4ffPCBzJo1Szwejxaz2+3Sr18/ueWWW6RLly71Pub69evlnXfekR07duji6liXXnqpjBlDxz8AAOKBr6xM3EtyDfF09v9DhHJkZGh7AXpWrNTFCxcukmY33mBZXgAAIHxifglwRUWF/PnPf5Z3331XK/5lZ2dLx44dxeFwyFdffSX33nuvfPPNN/U65pIlS+SPf/yjVvxThcT27dtrF3XM3bt3yzPPPKN9PwAAEPuKVq8W3w9/YKyU0K6tJPXsaVlOQMOWARtnsgIAgNgQ8zMA58yZI2vXrpWEhAS56667ZPTo0WKz2aSgoECefvpprQj41FNPyYsvviiJiYl1Hq+srExeeeUV7XpOTo785Cc/kfT0dO3fJ0+elBdeeEHWrVsn7733nkyaNElbFgwAAOKr+2/6+Ana7xtApEofN1aOPvqoLla0dp14Cwq0GYIAACC2xPQMQK/XKx9++KF2/bLLLtMKdpW/jGdkZMjdd9+tFf3UvoBLly4N6pgbN27UioeZmZnyq1/9qqr4p6h9Bf/3f/9XKzaq7/3tt9+G6ZkBAIBI4Pf5TGdN0f0Xkc7Zrp0k9ao2S7WiwnQ5OwAAiH4xXQDctWtXVYOOqVOnGm5XRbyePyzPUbMEg6FmAHbv3l1GjRolTqfTcHtycrJkZWVp130+XyOfAQAAiGQlmzeL9/gJXcyemSmpAwdYlhMQrHSWAQMAEDdiegnw1q1bta9t2rTRZueZ6du3r2zatEkrFgZj5MiR2qUm6jhqKbDaG7Bbt24NzBwAAESDQrPuv2PGiE11WAUiXPr4cXLi+ed1MU/uUq2xjT2IrXEAAED0iOnfTo8ePap9bdeuXY33adGihfb1+PHjDfoexcXFcuDAASkqKpLvvvtOPv30U/H7/TJt2jRp27ZtAzMHAADRuv+fi+6/iBJJZ5+tLQUuP3SoKqYa2hStXiOuUTX/wRsAAESfmC4AFhYWal8D9+mrrvI2tWdfaWmpJCUl1et7qK6/9913ny42dOhQufnmm+t8bElJifY9zVQuH1bFRHU/RJby8nJeF1hCbUMQ+BVoapz/An4e9+yRst27deNjS0qShIED+T8ixDj3hU9Kzmgpn/6uLnZ63jxJGDQwjN81+nDugxU498FqnPsik6oTNURMFwDV7DxFNeWoSTCdf2uTkpKiLfVVjUHy8vKkoqJCVq1apRUF//CHP4jL5arxsXv37pUdO3bUenxVmNy3b1+jcgQQe44cOWJ1CkDc833yiWEM/P3OkQMNXFWAunHuCz1/r16GWOHCheK54Xo6WQMRgnMfgOp1ooaI6QJgZXGvshBY219V1J59DSkGdunSRZ599lntuloGvGjRInnjjTdk+/bt8p///Ed++tOf1vjYzp07a/sTmlm9erWWm8PhkE6dOtU7L4SXeq1TU1MZZjQ5dV5QvwSqc0dj/4ABNATnv/9zePNmqT5Hv8WUKZLO/9shx7kvfPxt28q+vzwpvh9WzmhOnpQ2brck9e4dxu8cXTj3wQqc+2A1zn2RSU0mU5PP6iumC4CV3XjdbneN91Gz9pRmzZoF9VdOteRXDbT68F19abEqCF1wwQXaMd9//31Zvnx5rQVA1TFYXcyogqSicqrpPrB2KjSvC6ykin+8B2EFzn//VZGXJyUbNxnGJ2vCBHHy/3bYcO4Lg+RkceXkSMHs2bpw6bJlkjmAbtaVOPfBSpz7YBXOfZEpmNqVmf9WmWJUhw4dqop2Na2RPnjwYNVsvGA8/vjjcs8998gCk65/lc466yzta35+foOqsgAAILJ5li5V6y90seS+fcXZqpVlOQGN6QZcnXvBQgYUAIAYEtMFwL59+1Y1A/n+++9N77Nhwwbta79+/YI6Zvv27bWvNR2vsvCnqBmCte0/CAAAolPhokWGWPq4sZbkAjRW2qhRIk6nLla6fbuUHTjA4AIAECNiugCoZvV1795du67246vsrFtJzeJTa6fVlOqcnJygjjlkyBDtq2r0cejQIcPtHo9HZs6cqV3v379/CJ4FAACIJP6yMvEsXWaIu8ZSAER0crhckvbD77iB3LWseAEAANElpguAyq233qrtp/fVV1/JI488ImvXrpWtW7dqjTqef/557T5XXXWVZGdn6x6nuvqqDr3qEthhZezYsdr+f2pDVtXp9+OPP9aOp47/0Ucfyc9//nPZv3+/1h342muvbfLnCwAAwqto/XrxVdtfOKFtW0n6YQsQIFaWAReyDBgAgJgR8+tT1TJg1Yjj5ZdflvXr12uXQFOmTJHLL7/c8Dg1w6+yQPjmm29WFQiTkpLkd7/7nTz88MNy8uRJef311w2PVQ1F7r33XmnXrl3YnhcAAIig5b9jxzR4Q2YgErjGjRP5458MxW7v6dPi+KGxHgAAiF4xXwCsLPL16tVLvvzyS9mzZ4+2FFjN4lOz+fr06WP6mIyMjKrlww6HQ3dbp06d5B//+Ie2hFjN/lNdf9UswxYtWmgFR7WcWBUKAQBAbFFNxdwLjQVAlv8i2jlbt5bkPn2kZOvW/wt6veJeukwyL7rQytQAAEAIxEUBsLJod/vttwd9/6FDh2qXmqglvhdeeKF2AQAA8aHs+++lvFpjBHtqqqSa7J8GRBvXuLH6AqDaB3DRIgqAAADEgJjfAxAAACBUChctNsTSRowQe2Iig4yolz5mjCHmXrZM/OXlluQDAABChwIgAABAkNRsqOpY/otYkdSzpyS0bq2L+QoKpGjDV5blBAAAQoMCIAAAQBAqTp2S4o0b9UGbTVw5oxk/xATVyMZlNgtwsXHmKwAAiC4UAAEAAILgXrxEdQHRxVLOPVcSmjdn/BAzXGPHBDXzFQAARBcKgAAAAEFg+S/iQdrQoWJLTtbFyvbskdLduy3LCQAANB4FQAAAgDr4ysrEs3y5IZ5uMlsKiGb25GRJGzbMfAYsAACIWhQAAQAA6lC0eo34iop0MWeHDpLYvTtjh5jDPoAAAMQeCoAAAAANWf47bqzWNAGINa4xOYZY0fr14i0osCQfAADQeBQAAQAAauH3+6XQpACYPnYs44aY5GzdWpJ79dIHKyrEs2yZVSkBAIBGogAIAABQi9LvvpOKw4f1v0C5XJI6YADjhpjlMilwFy5abEkuAACg8SgAAgAA1HP5b9qokWJLTGTcEFf7AHpyc8VfUWFJPgAAoHEoAAIAANTCbNYTy38R65J795KEli11MW9+vhRv3GhZTgAAoOEoAAIAANSg4vhxKdm8WR90OMQ1ejRjhphms9tNm4G4F7MMGACAaEQBEAAAoAaFJsWO1PPOE0dWFmOGmMc+gAAAxA4KgAAAADVwmyz/NSuKALEobehQw16XZTt3Stm+fZblBAAAGoYCIAAAgAlfaal4Vq40xCkAIl7YU1MlddhQQ5xlwAAARB8KgAAAACaK1qwRf3GxLpbYubMkde3CeCFupJt0A6YACABA9KEACAAAYMK9JNcQc5kUQ4BYZvae96xdJ16325J8AABAw1AABAAAqMbv94t7yRLDuLhy6P6L+OJs21aSzj5bHywvF8+y5ValBAAAGoACIAAAQDVlu/dI+f79+l+aUlMlZeBAxgpxxzXWZBnwokWW5AIAABqGAiAAAEA1ZrP/UocPE3u1jqhA3O4DmJsrfq/XknwAAED9UQAEAACoxp1rtvw3h3FCXEru21cczZvrYt68PCnetNmynAAAQP1QAAQAAAjgdXukaN16w5i4RrP/H+KTzW43LYDTDRgAgOhBARAAACCAZ+UKrclBoKSePcXZujXjhLjFPoAAAEQ3CoAAAAABTLv/MvsPcc41fLjYnE5drHTHDik7cNCynAAAQPAoAAIAAPzA7/eLZ0muYTzY/w/xzp6WJqlDhgS1XyYAAIg8FAABAAB+ULptm1QcP64bD0dmpqT0O4cxQtwz3QfQZMYsAACIPBQAAQAAailmpI0aJTaHgzFC3HPlGBvhFK1aLb6SkrgfGwAAIh0FQAAAgB+4TZf/0v0XUBI7dZLELl10g+EvLZWi1asZIAAAIhwFQAAAABGpyMuT4k2b9GNhs0nayJGMD/ADlgEDABCdKAACAACIiGfZMtUFRDcWKf36SUJ2NuMD/MA1xmQfwMVLtAY6AAAgclEABAAA+KGIEUyxA4hnqf37ax2BA5UfOiRl339vWU4AAKBuFAABAEDc83u94lYzAKtxjWb/PyCQLTFR0oYPNwyKO9e4fyYAAIgcFAABAEDcU3v/+fLzdeOQ0LKlJPXsGfdjAwS7DBgAAEQuCoAAACDumXX/TcsZLTabLe7HBghmZmzRhg3iLShgsAAAiFAUAAEAQNxzLzHZ/y+H/f8AM2p2bHLv3vqg1yue5csZMAAAIhQFQAAAENfKjx6V0m+/1QedTkkbZtznDMB/uXJGBzWTFgAARAYKgAAAIK6Zzf5LHThAHC59p1MAtc+QdS9dKn6fj2ECACACUQAEAABxzax7qWs0y3+B2iT37SuOZs10Me/Jk1KydSsDBwBABKIACAAA4pavrEw8K1Ya4uz/B9TOZreLa9QoQ5xuwAAARCYKgAAAIG4Vr1sn/qIiXczZsaMkdjnDspyAaOEakxPUknoAAGA9CoAAACBu1dT912azWZIPEE3SRowQcTh0sZKvv5aK48ctywkAAJijAAgAAOKWWddSs+6mAIwcGRmSet55xp+r3KUMFwAAEYYCIAAAiEtle/dK2Z49upgtOVlSBw+2LCcg2rAMGACA6EABEAAAxCWz2X9pQ4eKPSnJknyAaGTWMMezfLn4y8osyQcAAJijAAgAAOKS6f5/Jk0NANQssXt3cbZrp4v5PB4p2rCBYQMAIIJQAAQAAHHHV1QkRWvWGOKu0ez/B9SHapiTZrJvptkMWwAAYB0KgAAAIO54Vq0Sf3m5LpbUo4dhJhOAhi0DNpthCwAArEMBEAAAxB26/wKhkzZkiNiq7Z1ZtmuXlO3fzzADABAhKAACAIC44vf7zff/M5nFBKBu9pQUSR06xBB3L2YWIAAAkYICIAAAiCul23dIxZEjupg9PV1Szj3XspyAaMcyYAAAIhsFQAAAEFfMZv+ljRwhNqfTknyAWOAabZxBqxrtqIY7AADAehQAAQBAXGH5LxB6iR3aS2L3brqYv6xMPKtWM9wAAEQACoAAACBuePPzpfirr/RBm01co0ZZlRIQM1gGDABA5KIACAAA4oZ72TIRn08XS+7bVxKaN7csJyDWC4Cq8Q4AALAWBUAAABA3PLm5hphr9GhLcgFiTep552kNdQKphjuq8Q4AALAWBUAAABAX/F6vuHOXBjVrCUD9qUY6aSNGBLXvJgAAaFoUAAEAQFwo2bpVvHl5upijRQtJ7t3LspyAWMM+gAAARCYKgAAAIH67/44aJTY7vw4BoeIaPUprrBNINd7xnj7NIAMAYCF+4wUAAHHBvcRk/78c9v8DQkk11FGNdXR8PnEvW85AAwBgIQqAAAAg5pUfOyYlX3+tDzocpvuVAWgcs8Y67AMIAIC1KAACAICY51m6zBBL7d9fHNU6lgIIzz6AnqVLtUY8AADAGhQAAQBAfO7/N4buv0A4qMY6qsFOILUHYMmWLQw4AAAWoQAIAABimr+8XDzLlwe1TBFA46nGOqrBTnXuXOM+nAAAoGlQAAQAADGtaP0G8Xk8upizXTtJ7N7dspyAeFwG7F5snIkLAACaBgVAAAAQ08xmHaXljBabzWZJPkA8SBsxXGu0E6jkm2+0hjwAAKDpUQAEAADxt/+fyewkAKGjGuyoRjvBNOQBAADhRwEQAADErLIDB6Rs505dzJaUJGlDhliWExAvzBrtmBXkAQBA+FEABAAAMcus2JA6ZLDYU1IsyQeIJ2aNdlRDHtWYBwAANC0KgAAAIK72/3ONZvkv0BRUox3VcCeQashTtOErXgAAAJoYBUAAABCTfMXFUrRqtSHuyjHOSgIQeqrRjmq4Ux3LgAEAaHoUAAEAQEwqWrNG/KWlulhi166S2LGjZTkB8cZsGbA7l30AAQBoahQAAQBATKL7L2C9tKFDxZaYqIuVfb9Tyg4ctCwnAADiEQVAAAAQc/x+v7iXmOz/x/JfoEmphjupJl23mQUIAEDTogAIAABiTtnOnVJ+UD/DyJ6WJqn9+1uWExCvTLsBmxToAQBA+FAABAAAMcds9l/a8OGGpYgAws81xth527N6tfhKShh+AACaCAVAAAAQH/v/mRQhAISfaryT2KWLLuYvKdEa9QAAgKZBARAAAMQUb2GhFG3YYIinjRplST4AaugGzDJgAACaDAVAAAAQUzzLV4hUVOhiyb16ibNVK8tyAuKd2QxcNVNXNewBAADhRwEQAADE/PLfNLr/ApZKGTBA7Kmpulj5gQNStnu3ZTkBABBPKAACAICY4ff5xL10qSGensP+f4CV7ImJkjp8mCHOMmAAAJoGBUAAABAzSr7+RrwnTuhijuxsSe7b17KcAPyXy6QQbzZjFwAAhB4FQAAAEDPcuSbLf0eNFJvDYUk+AGpvBFK0fr143W6GCQCAMKMACAAAYobZckLXaJb/ApHA2bq1JPXsqQ+Wl4tnxQqrUgIAIG5QAAQAADGh4uRJKdmyRR+028U1coRVKQEIYhagO9dYuAcAAKGVEOLjIcR8Pp8UFhYyrhGmoqKC1wWWnRPS09OltLRUysvLeRXQ5CL5/Of58ksRv18XS+zbV4rU8t8IzRnB4dwXO+yDBoq89JIuVrh4iRQUFIjNZpNIFcnnPsQuzn2wGue+yD03NAQFwAhnt9u1D/uILOoXQF4XWKGkpESOHj0q2aqpQXIyLwKaXCSf/wrWrDHEMseNi9h8ETzOfbHDNWyYnMrMFG9+flXMd+KEJB44IMm9ekmkiuRzH2IX5z5YjXNf5NaJGvS4kGcCAADQxPwVFeJettwQd+UYlxsCsI5qyJM2cqQhzjJgAADCiwIgAACIesUbN4qvoEAXS1ANB846y7KcAJgzK8ybNfABAAChQwEQAABEPfeSJabNBiJ5TzEgXqWNGiVS7WezeNMmqcjLsywnAABiHQVAAAAQ9cxmD7nG5FiSC4DaJWRnS8o55+iDPp94TJbxAwCA0KAACAAAolr5oUNSun27LmZzOiVt6FDLcgJQuzSzZcC5LAMGACBcKAACAICo5s5daoilDhok9rQ0S/IBUDdXjnGGrmfpUvF7vQwfAABhQAEQAADE3v5/dP8FIlpyz57iaNlCF/OePi3FmzdblhMAALGMAiAAAIhavtJS8axaFdTsIgCRw2a3a416qmMZMAAA4UEBEAAARK2iNWvFX1ysizk7d5LEM86wLCcAwXGNzglqRi8AAGg8CoAAACBqmc0WYvYfEB3Shg8TSUjQxUq/2SblR49ZlhMAALGKAiAAAIhKfr/ffP8/k1lFACKPIz1dUgcMMMQ9S+kGDABAqFEABAAAUalszx4p37dPF7OlpEjq4EGW5QSgfkz3AVxCARAAgFCjAAgAAKKS2ey/tGHDxJ6YaEk+AOrPrGO3Z8UK8ZeVMZwAAIQQBUAAABCVPOz/B0S9xG7dxNm+vS7m83ikaMMGy3ICACAWUQAEAABRx+v2iGftOkPcNXqUJfkAaBibzWY6C5BlwAAAhBYFQAAAEHWKVq0UKS/XxZLOOkucbdtalhOAhkkz2wfQZIYvAABoOAqAAAAg6ph2/82h+y8QjdKGDBFbUpIuVrZzp5QdOGBZTgAAxBoKgAAAIKr4/X7T5YFmywgBRD676t49ZHBQhX4AANAwFAABAEBUKf32W6k4dkwXs2dmSkq/fpblBKBxXKONM3hZBgwAQOhQAAQAANG//HfECLElJFiSD4DGM5vBW7RqtfiKixleAABCgAIgAACIKqbLf8ew/x8QzRI7dpTErl11MX9pqRStWWNZTgAAxBIKgAAAIGpU5OVJ8aZN+qDNJmkjR1qVEoAQMWvkwz6AAACEBgVAAAAQNTzLlov4fLpYyjnnSEKzZpblBCB8y4DVjF/V+AcAADQOBUAAABA1zGYDpdH9F4gJqf37iz0tTRcrP3hQynbtsiwnAABiBQVAAAAQFfxer3iWLg1q2SCA6GNLTJS04cMNcfdiY+EfAADUDwVAAAAQFYo3bRZvfr4u5mjZQpJ79rQsJwBNsAw419j4BwAA1A8FQAAAEBXcucZZQK7Ro8Vm59cZIFakjTIWAIvWrxev221JPgAAxAp+YwYAAFFBNQOozjWa5b9ALHG2biVJvarN6q2oEM/yFValBABATKAACAAAIl750WNSum2bPpiQIGkjjPuFAYhuamZvMDOAAQBA8CgAAgCAiGf24T91wABxuFyW5AMgfMxm9qp9AP1+P8MOAEADUQAEAAARz6wLKN1/gdiU0u8ccWRm6mLe4yek5JtvLMsJAIBoRwEQAABENF9ZmXhWrjTEXWPY/w+IRTaHQ9JGjTLEPXQDBgCgwSgAAgCAiFa0Zq34i4p0MWfHjpLYpYtlOQEIL7MZvmYzgQEAQHAoAAIAgIjmXmK+/Ndms1mSD4DwSxs5QqTaz3jx5s1SkZfH8AMA0AAUAAEAQMRSm/7XVAAEELsSsrMlpV8/fdDvF8+yZValBABAVKMACAAAIlbZ7j1Svm+fLmZLSZHUwYMsywlA0zDb55NlwAAANAwFQAAAELHMZv+lDRsm9qQkS/IB0HRco0cbYu5ly8Tv9fIyAABQTxQAAQBAxGL5LxC/knr2lISWLXUxX36+FG/abFlOAABEKwqAAAAgInndbilat84Qd+UYZwUBiD2q0U+ayc+72R8GAABA7SgAAgCAiORZvkKkokIXSzr7bHG2aWNZTgAiYBlwbi4vAwAA9UQBEAAARCSW/wJIGz5cxOnUDUTptm1SfvQogwMAQD1QAAQAABHH7/OZzvIx6woKIHY5XC5JHTDAEGcWIAAA9UMBEAAARJySr78W74kTupgjO1tSzjnHspwARM4yYA/LgAEAqBcKgAAAIOK4Fxs3+U8bNVJsDocl+QCwjlnjH7VHqK+szJJ8AACIRhQAAQBAxGH/PwCVErt2FWeHDroB8RUVSfH69QwSAABBogAIAAAiSsXx41Kydas+6HCIa+RIq1ICYCGbzWbeDXgJ3YABAAgWBUAAABBR3LlLDbGU884VR2amJfkAsJ5ZAyCzmcIAAMAcBUAAABBRWP4LoLrUwYPFlpSki5Xt3i1l+/YxWAAABIECIAAAiBj+sjLxLF9uiLtyjLN/AMQPe3KypA4dEtSMYQAAYEQBEAAARIyiDRvE5/HoYgnt2kpSjx6W5QQgMpj9IYBlwAAABIcCIAAAiBjuxUtMP/SrJgAA4ptZI5Ci1avFV1xsST4AAEQTCoAAACBisP8fgJokduggid26GbcNWL2aQQMAoA4UAAEAQERQm/mrTf0DqU3/04YY9/0CEJ9YBgwAQAQUAAsLC6W8vDyUhwQAAHG8/Fdt+m9PSbEkHwDRsQzYsyRX/H6/JfkAABCXBcDly5dLmzZt5Gc/+5ksW7aM/4gBAEDQ3IsXG2J0/wUQKLX/eWJPS9PFyg8dkrLvv2egAABoyiXAp06dkhdffFFGjRolXbt2lQcffFC++eabUH8bAAAQQ1Tn36K1aw3xdJOunwDily0xUdJGjDDE6QYMAEATFgCzsrIkLeAvcnv27JHHHntMevfuLeedd5489dRTcujQoVB+SwAAEAM8K1eKv9o2Ikk9eoizfXvLcgIQmVw5o4PaQgAAAISpADh06FA5fvy4fPjhh3LNNdeIy+Wqum3jxo1y7733SseOHWXChAny5ptvitvtDuW3BwAAsdT9dwyz/wAEtw9g0Vdfiff0aYYLAICmWgKckpIil19+uUyfPl0rBs6cOVOuu+46ycjI0G73+XyyYMECueWWW7T9Am+66SZZuHAh+wUCABCn1Ob97iW5hjj7/wEwk9CypST37asPer3iXrqMAQMAoKkKgIGSk5PlkksukbfffluOHTsmn3zyidx4442SmZmp3e7xeOStt96S8ePHS8+ePeW5556TgoKCcKYEAAAiTOm2bVJx7JguZs/MlJRzz7UsJwCRzWyGsFkjIQAA0AQFwEBJSUkybdo0+fe//60VA2fPni0333yzZGdna7d/9913ctddd0mHDh3knnvukQMHDjRVagAAINKW/44YIbaEBEvyARD50seONcTcS5ca9hIFAABNXAAMlJiYKK1bt9aWAFcWACsVFhbKM888I926dZNf/epXcpq9PAAAiGlmm/ez/x+A2iT17CkJrVvrYr6CAm0vQAAAYGEBUO3vs2rVKvnNb34jXbp0kUGDBskTTzwhu3btqrqPWhqsZgWOHDlSysrK5O9//7vWWEQVBQEAQOypOHVKijdv1gdtNkkbNcqqlABEAZvNJq4xYwxx9yKWAQMA0OQFQNXwY+nSpdrS3k6dOsmwYcPk6aeflj179lTdJy0tTesYrJqFHD16VP71r39pj1GdhNXsQLU0+LXXXgtnmgAAwCKepUvVXwl1sZR+/SSh2goBAKiOfQABAAheyDfX8Xq9kpubqxXwVFHv8OHDps1BpkyZohX+LrroIklNTTXcR3USPnLkiPziF7+Q1atXhzpNAAAQqfv/mWzuDwDVpQ0bJrbkZPGXlFTFynbvlrI9eyTxjDMYMAAAwlUAXL9+vUydOlWOHz9uuM3pdMqECRO0op/qDJyRkVHn8dSsQcXtdocyTQAAEAHUZv3upcsMcVcOBUAAdbMnJ0va0KGG7r+FixdL81tuYQgBAAhXAVAV/gKLfw6HQ3JycrSin5rR16xZs3odb//+/dK8eXNtz0AAABBbitZvEF+1fX4T2rSRpLPPtiwnANHFNXasoQCo9gGkAAgAQJiXAKsNeYcPH64V/a688kqt229D3XnnndoFAADEHveiRabLf9XvEgAQDLMtA4rWrxdvQYE4glhxBABAvAhpAbB3796ydu1a6dq1q9bAI1iq4++pU6ckKSmpXo8DAADRye/3S+FiYwEwfexYS/IBEJ2crVtLUq+eUvrNtv8LVlSIZ9kyyTj/fCtTAwAgdrsAf/311zJw4EC59tpr6/W4hQsXStu2bev9OAAAEJ3URv3le/fpYmoz/9QhQyzLCUB0Sh9j/MOB2gcQAACEqQDYUCdOnNC+suQHAID4oPboqi5t+HBtU38AqA/X2DGGmGdJrvgrKhhIAAAauwR4+/bt8vrrr+tiu3fvrrrtvvvuC+o4JSUl8t5772nXU1NTG5oOAACI9v3/TD7EA0Bdknv3FkfLFuI9/t9JBYo3P1+KN22S1AEDGEAAABpTANy1a5c88cQTprepQmBNt9Vm2LBhvCgAAMQ47+nTUvTVV4a4K8e4mT8A1MVmt2vnj/wPZxj+0EABEACACFoC7HQ65bbbbpOf//znVqcCAADCzL10mYjXq4sl9+kjzlatGHsADWLWQIh9AAEACMEMwBEjRshX1f56v2LFCq2IN3z4cHnhhReCOk5KSop07NiR5b8AAMQJlv8CCLW0YcPElpgo/rKyqljZ9zulbP9+SezYkQEHAMS9BhcA09PT5dxzz9XFjhw5UuNtAAAA/vJycS9dGtTsHQAIlj01VVKHDhFP7lJDw6FmN93IQAIA4l5IlwCrot/06dPl/vvvj/uBBQAARkXrN4ivsFAXS2jdWpJ69mS4ADSKa4yxkZB7sbHhEAAA8SikBcA2bdrINddcIzls4g0AAEy4Fy82/dBus9kYLwCNkm5SAPSsXSdet5uRBQDEvQYVAP1+v1RUVGgXn89nGm/IJfBYAAAg9rD/H4BwcbZrJ0lnnaUPlpeLZ9lyBh0AEPcaVACcO3eu1rlXXc4//3zTeEMugccCAACxpXTXbinbu1cXsyUnS9rQoZblBCC2uMaOCWrmMQAA8SakS4ABAABqYvYhXHXutCcnM2gAwrYM2J2bK36vlxEGAMS1BnUBbtmypUyePFm7PnDgQNN4QwQeCwAAxBaW/wIIt+RzzhFHs2biPXWqKqauF2/eLKnnnccLAACIWw0qAA4YMEDmzJkTdBwAAMQ3b36+FG3YEFTXTgBoKJvdLq6cHMmfOVMXdy9eQgEQABDXWAIMAADCzp27VKTaErzkPn3E2aoVow8gpMz+sGA2AxkAgHjSoBmAjXXy5En5/PPP5ciRI9KuXTuZMmWKNG/e3IpUAACARfv/MfsPQDikjRgh4nRqHYArlW7fLuUHD4qzfXsGHQAQl8JSAPT7/fLGG2/ISy+9JJ07d5b333+/6rYFCxbI5ZdfLvn5+VWxtLQ0efzxx+WXv/ylhMuaNWvk008/lb1790ppaam2X+GwYcPkkksuEZfL1aBjLlq0SBYuXCh79uwRj8cjqamp0rVrV5k4caKMGjUq5M8BAIBo5C8vF/fSpUF16wSAxnK40iRt0CDxrFihixcuXizNrr+eAQYAxKWQFwB9Pp/cdNNN8vbbb2v/zs7OrrrN7XbLNddcoyv+Kap49qtf/UorHKqvofbmm2/KjBkzdLH9+/drl8WLF8ujjz4qbdq0qddz/POf/yyrVq3SxQsKCmTjxo1Vl3AWNAEAiBZFG74SX0GBLpbQurUk9+plWU4AYptr7FhDAVDtA0gBEAAQr0K+B6Ca9VdZ/Gvfvr2MCdiDY/r06XLixAnt+pAhQ2TevHnajMDKzsH33Xeftjw4lFauXFlV/Lv44ovltddekw8++ED+3//7f1p+x44dk6eeekorPgbrk08+0Yp/DodDrr/++qpj/u1vf5Phw4dr9/nyyy+12YEAAMS7mpb/2mw2S/IBEPvMZhgXrVolPo/HknwAAIi5AuDTTz+tfb3xxhtl165dWlGv0kcffaR9TUxM1JbjqqWy48aN0wpqaqlwcXFx1X1C5Z133tG+jh07Vm6//XZt6W9SUpL07dtXHnzwQbHb7bJ9+3ZZt25dUMdThcLPPvtMu37ttdfK1VdfXXXMLl26yG9/+1vp3bu3dvvMat3HAACIR2ab77vG5FiSC4D4kNihgyT16G7YjsCzcqVlOQEAEDMFwH379snOnTu1Ythzzz2nFfoqqX33lixZol2fMGGCtAro+qfuf8stt2jXgy3EBePAgQPann+K2newug4dOkj37v/9xWBFtSUCNTl69Kg2a1CpnLkYSM1myMn574eayv0GAQCIV6W7d0vZnj26mC05WdKGDbMsJwDxwazRUCHdgAEAcSqkBUBVcFPOOeccycrK0t22evVqbYafomb+Vdfrh32Ajh8/HrJ8tmzZon1t1qyZdOrUyfQ+/fr1076qWYDBqFzCnJ6eLpmZmab3SUlJqbru9XrrnTcAALHCvci4/FcV/+zJyZbkAyC+9gGszr0kV/w+nyX5AAAQM01ASkpKtK9mXXUrZ/8pgfsCVlJLcSsbbISKavJROdOvJpXNP9TMvmD06dNHW75cG1XsrDy26gwMAEC8Ml3+S/dfAE0gpV8/cWRliff06aqY98QJKdmyRbsNAIB4EtICYIsWLbSvBw8eNNw2e/bsqtl4aoZgdVu3btW+Nm/ePGT5FBYWal+rz0YMpGbyKWVlZVJeXi5Op7NR31PtZ7hs2TLt+iWXXFJnwbSmJcKVhVC152BlYRWRQ71XeF1gBXWuCvwKRPL5T33oLlq/3hB3Dh3KORT1wrkPDZUycoS4Z/93/+5KefO+FNtZZ9XrOPzuBytw7oPVOPdFpvo0sQ1bAVAt41Wz/9RyWjXjr3IvPNURd82aNdr1SZMmVc32CyzUqU66ynnnnReyfIqKirSvtRX1ApfrVlRUNLgAqJYGv/zyy1p34MqmI1OnTq31MWqPwB07dtR6H7WEWO2tCACBjhw5woAg4vnU7L/qM/t79JBDqoDI/21oAM59qC+/as5XrQCY/+WX4r54GoOJqMG5D0Cghm41F9ICYEJCgtxwww3y4osvyoUXXii33nqrVux79dVXq+5z3XXX6arJubm5WudctX+gKr5dfPHFIcvH4XDUOVNG5VApsGlJsNTjVbffDz/8UJvNkJycLDfddJP2/OuiOh9XLkE2W0as8lbPoab9C2EdVVxmeTesoM4L6pdAde5oyDkLaMrz39EtW+S/f4r7P1mTJko2/6+hnjj3oaF8zZvL3meeVb+0/19w3z5pa7OJs2PHoI/D736wAuc+WI1zX2RSk8nUBDZLC4DKo48+Kl988YWW0N///nfdbUOHDq0qjC1evFibDRhYgHvggQekYz3+I65L5fJet9td5zJh1dCjsmAYrI0bN8o//vEP7cN4ZfdfVfxr2bJlUI9XxUJ1MVM5S1Idt6b7wDrqfcvrAiup4h/vQUTy+c9XWirFK1Ya4tmTJvPeRYNx7kO9aV3Hh4ond6kuXLZsuaTfekvQh+F3P1iJcx+swrkvMqk6keVdgCv38FN74KlCX+BS3+HDh8uMGTOqElWz5SqLf2omwZNPPil/+MMfQppLu3btdM1AzBw+fLjORiFm1Iy/hx9+WCv+nX322fLUU0/JPffcE3TxDwCAWFa0apX4f9iKo5KzQwdJOrOHZTkBiE/p48YZYu6FCy3JBQAAq4R8BmBlMW3WrFly/Phx2blzp2RnZ8tZ1Tbabd26tdx2220yaNAgueKKK6oaiIRSz549q/bnU4W+tm3bGu6zefPmqu6+wVq4cKH8+9//1oqZapmzavbR0AosAACxqHChsftv+vhx/H8JoMm5xo4T+cMfdTHVoKgiL08SsrN5RQAAcSHkMwADqdlwatlv9eJfZbMP1fjjpz/9aViKf4r6vq1atdKuq336qvvmm2+0S+Xy3WA3W3zzzTe162q576WXXsqHGQAAAvh9PtPZNa5x4xknAE3O2bqVJPftqw+q89SSJbwaAIC4EdYCoNXUnn7XXnutdn3OnDny1ltvSV5enrb8eOnSpfLYY49pt02cODHoJcBqxqA6hiosqpl/AABAr2TrVqk4flwXs2dmSuqA/gwVAEuoGcjVuRewDBgAED/CsgS4ktp7Ty0BVo02gmlTrJYFDxs2LKQ5jB8/Xr777jutAPjBBx9ol+rLhNUy3urmzZsnzz//vHZdzfhTy5gVNWNQOXbsmDb7ry5q5mF9m4sAABDNCk0+VLtyRostIay/dgBAjVzjxsnxv/5NF3MvX641LLInJTFyAICYF5bfxOfPny933XVXVbEsWJMnT9YKdaF25513anv8ff7551p3Yp/PJ23atJExY8bIBRdcoHVVClZl0xAAAGDObPlvOst/AVgoqUcPrRFR+YEDVTHVqEg1LHIFuRUQAADRLOQFwLlz58rUqVPF7/dLJBk9erR2CdakSZO0S3W/+c1vtAsAADAq279fSnfs0MVsTqekjRzJcAGwjNrzWy0DPvXmvw0zlikAAgDiQcgLgHfffXdV8U81ABk3bpy2X14wy2A7d+4c6nQAAEATKlywwBBLHTpUHK40XgcAllKNiAwFwEULpY3vYbHZY3prdAAAQlsA3L17d9WyX7V/3s9//nOGGACAOGK2qb7Z5vsA0NRUIyJHZqZ48/OrYt7jJ6RkyxZJ6dePFwQAENNC+qeuAz/sqdG1a1eKfwAAxJmKvDwp2rDBEHeNpQAIwHqqEZFrjHG/v8KFiyzJBwCAqC0Aqr01lC5duoTysAAAIAp4cnNFvF5dLLlvX3G2bmVZTgBQ1x8k3AuNWxcAABBrQloArNzD7+TJk6E8LAAAiAJqM/3q0seNtSQXADCjGhKpxkSBSnd8L2X79jFgAICYFtICYMeOHaVXr16yefNm2b59eygPDQAAIpivtFTcy5aZbroPAJFCNSRKHTY0qD9gAAAQS0Le7ur+++8Xn88nt9xyixQVFYX68AAAIAIVrV4t/mr/7zs7dJCkM3tYlhMAmEk3+cOEeyEFQABAbAt5AfD666+Xa665RlauXCmDBw+WmTNnyokTJ0L9bQAAQKQv/x0/rmp/YACIFK6xxq0Jitav1xoZAQAQq0JaAFy+fLn07dtX1q9fr/3766+/lssuu0xatmwpdrtdkpOTa71MmzYtlOkAAIAm4Pf5TGfP0P0XQCRSjYlUgyIddR5bssSqlAAAiK4CYGFhoVb027Fjh+E2v98vpaWltV7KyspCmQ4AAGgCJVu3SsXx47qYPTNTUgcOYPwBRCQ1Q7k6N/sAAgBiWEIoD6Zm+k2ePLnBjx84cGAo0wEAAE2g0Gz2X85osSWE9NcMAAgZ17hxcvyvf9PF3MuXaw2N7ElJjDQAIOaE9DfzAQMGyJw5c0J5SAAAEOHMZs2YbbIPAJEiqUcPcXbsKOX791fFVCOjolWrxJWTY2luAABERRMQAAAQP8r275fSalt/2JxOSRs50rKcAKAuqkFR+rixQTU0AgAgFlAABAAADVa4YIEhljp0qDhcaYwqgIjmMpmpXLhoodbYCACAWBPWAuCWLVvkgQcekBEjRki7du0kLS1NLrzwQu22devWyS9/+cuqjsEAACD6uOcvCGpzfQCINKkD+osjM1MX8x4/ISWbN1uWEwAAUVUArKiokDvvvFPOPfdcefzxx2XFihVy+PBhKSoq0m5TTpw4Ic8//7zW+OOaa66RvLy8cKQCAADCpOLUKSnasMEQd401LqsDgEijGhW5xhj3+yucP9+SfAAAiLoC4E033ST//Oc/xffD9PmkpCTp2LGj7j5Op7Pq+nvvvSfDhw+X/Pz8cKQDAADCwK26/1ZbKpfc7xxxtm7NeAOICq4JEwyxgi+/FL/fb0k+AABETQHwo48+kunTp2vXx40bJ/PmzROPxyMvv/yy7n7jx4+X7du3y49//GOx2+3y7bffym233RbqdAAAQJioD8nVZUycyHgDiBqukSPFlpysi5Xv3WdobgQAQLQLeQHwmWeeqZoFOH/+fJk4caI4HA7T+/bo0UMrDL755ptVxcPvvvsu1CkBAIAQ87rdUrRipSGebjKbBgAilT0lRVyjjF3LWQYMAIg1IS0AHj9+XJYvX64t+X322WfFZrMF9bgbbrhBLrvsMu36jBkzQpkSAAAIA/eSJeIvL9fFknp0l8QzzmC8AUQVsz9cUAAEAMSakBYAd+7cqX0955xzpFmzZvV67LRp07Sve/bsCWVKAAAgDMw+HKez/BdAFHKNGSOSkKCLlX6zTcoOHLAsJwAAIroAWP7DTIC0tLR6PzYzM1P7evTo0VCmBAAAQsxXWiqeJbmGOMt/AUQjR2ampA0ebIgzCxAAEEtCWgBs166d9nXr1q3i9Xrr9djKvf+aN28eypQAAECIeVasEF9RkS7mbNdOknr2ZKwBRKX0iSwDBgDEtpAWALt16yZnnHGGnDhxQv7xj38E/bji4mJ59dVXtetDhw4NZUoAAKCJlv8Gu/cvAEQa17jxhljx+g1SceKEJfkAABDxXYB//vOfa1/vvvturcNvXXbt2iWTJ0+W77//XjIyMuTyyy8PdUoAACBE/BUV4l64KKjZMwAQLZytW0nKuefqg36/FC5caFVKAABEdgHwV7/6lQwaNEgqKirkjjvukL59+8rvf/97mTdvnnb7yZMntU6/f/nLX+SCCy6Qs846S5YuXard9vjjj7MEGACACFa6aZN48/J0MUfz5pJy3nmW5QQAocAyYABALNO3uwqBxMRE+eKLL+Siiy6SlStXavsBqkuldevWyRVXXGF43H333Sd33nlnqNMBAAAhVLJosSGWPm6c2BwOxhlAVFONjI49+ZQu5lm5SryFhZblBABAxM4ArGzkoWb1PfXUU9K+ffta79unTx/55JNPtNl/AAAgcvn9filebFIAZPkvgBiQ2LmzJJ15pj5YXi5uk67nAABIvM8ArORwOOSee+6Ru+66S1avXq1dDh06JB6PR9vrr2PHjjJixAg5jyVDAABEhZKtX4v36FFdzO5ySSoNvADE0CzA0u3bDY2PMnNGW5YTAAARXQCs+gYJCVqhT10AAEBsdf915eSIPTHRknwAINTUjOYT//iHLubOzZWMkhKR9HQGHAAQtcKyBBgAAMSewi+/NMRY/gsgliSdfbY4O3TQxfxFRVKyZq1lOQEAYNkMwGPHjsmKFSsk1Fq3bi3Dhg0L+XEBAEDjlO7aJWW7dulitsREcY0axdACiBk2m01bBnzqX//SxbX9Ty8437K8AACwpAC4YcMGufTSSyXUJk+eLHPmzAn5cQEAQOMUfmlc/ps2YoTY09IYWgAxRc1srl4ALMnNFX9FhdgSwr6DEgAAYcESYAAA0MDlvxMZOQAxJ+Xcc8XRooUu5svPl6J16y3LCQCAxmrQn7AGDRokX5p8EKj0l7/8per2MWPGyLRp06R3797SrFkzsdvtkp+fL9u3b9fuM2vWLCkrK5MJEybIG2+80fBnAgAAwqL80CEp2bpVH3Q4xDV2DCMOIObYHA5JHzdOTr//vqERUtrQIZblBQBAkxcAmzdvrhXszEyfPl0r7GVmZsp7772nLes1M3bsWLnjjjtk9+7dcsMNN8j8+fPlkUcekX9U67oFAACsVTh/gSGWOnCgJGRnW5IPADTFMmCzAmDrBx/Q9gkEAEDifQmwKuIpb731Vo3Fv0BdunSRuXPnSvfu3eXFF1+Ubdu2hTolAADQCOpDb3Us/wUQy9KGDBG7y6WLVRw5YpwNDQBAPBYA9+zZoxXwunbtKhdddFHQj3O5XPLzn/9c/H6/fPjhh6FMCQAANEJFXp4UrVtniKdPGM+4AohZWpfzMWOCaogEAEDcFQAPHDigfe3cuXO9H6tmAirfffddKFMCAACN4F64UMTn08WS+/YVZ5s2jCuAmJZusuWRWUMkAADirgCoGnwoe/fubXDx0OPxhDIlAADQCIXz6P4LID65Ro0UW1KSLla2e7eU7thhWU4AAEREAbByFt+uXbtq7RJcnVr6+5///Ee7fsYZZ4QyJQAA0EDeggJxr1gR1KwYAIg19rQ0SRsxwhAvmDvPknwAAIiYAmDbtm1l6NCh2vUbb7xR1q9fX+djysvL5Re/+IWsWrVK+/dll10WypQAAEADuRctUv9R62IJ3bpJUtf//sEPAGJdxuRJhljh3DmW5AIAQER1Af7LX/6iLQU+evSoVgy8+eabZfbs2doSX1XsU7P9CgoKZO3atfL444/LWWedJf/4xz+0x15yySUyatSoUKcEAAAaoGDOXEMsdTzNPwDED9e4cWJzOnWx0h3fS+nOnZblBABAQyRIiKkC3quvvio/+clPpKKiQv79739rl0o2m00rAlY3ePBgefPNN0OdDgAAaACv2y2eZcsM8RS6/wKII470dG0ZsHvxYl28YO5caXnnnZblBQCA5TMAlVtvvVVb0ms2m6968c/pdMpdd90lixcvloyMjHCkAwAAGrD8119t+W9i927i/GG/XwCIF+mTJxtihewDCACI9xmAlQYMGCC5ubmyZcsWmTlzprbk99ChQ1JUVKQV+jp16iQjRoyQq6++Wts7EAAARA41u6W6jMlTLMkFAKyUPm6sHE5IEKmoqIqVfvedlO7eLUn8UQQAEO8FwEp9+/bVLgAAIDp43R7x5C41xNMnTxL9nEAAiH2OzExJHjxYSqp1RVezAJN+eodleQEAYPkSYAAAEL3UXlf+sjJdLLFrV0nq0cOynADASikmDZDMZkoDABCpKAACAACdQpMPtWr2n2rkBQDxKCVntIhaBhygdNs2Kdu717KcAACoDwqAAACgis/jEXdurmFEMqaw/x+A+GXPzJS0oUMN8QKagQAAogQFQAAAUEUV//ylpboRSezcWZLOPJNRAhDX1Ezo6grnzLEkFwAA6osCIAAAqFIwx2T575QpLP8FEPfSJ0wQcTh041DyzTdStn9/3I8NACDyUQAEAAAaX1GR+fJfk1kvABBvErKzJW3I4KD2TQUAINJQAAQAABp37lLxFxfrRsPZqZMk9ezJCAGAtgzYuB8q+wACAKIBBUAAAKApnGecxZIxeTLLfwHgB+kTJ4jY9R+hSrZskbIDBxkjAEBEowAIAADEV1IihYuXGEYiffJkRgcAfpDQrJmkDjZZBjxvHmMEAIhoFAABAIC4ly4Vf1GRbiScHTpIcu9ejA4ABMiYYvzDSMFcugEDACIbBUAAACCFZt1/J09i+S8AmHUDrr4MeNNmKT90iLECAEQsCoAAAMQ5X2mpuBctMsQzphg3uweAeJfQooWkDhxoiBewDBgAEMEoAAIAEOc8y5aJr/ry33btJLlPH8tyAoBIpmZIBzOTGgCASEEBEACAOFcw12z5L91/AaAm6RMnithsuljxxo1SfuQIgwYAiEgUAAEAiGO+sjJxLzRZ/msyuwUA8F/OVq0kZUB/w3DQDRgAEKkoAAIAEMc8y5eLz+3WxRLatpXkfv0sywkAokHGZOM+qQVz51mSCwAAdaEACABAHCucM8cQy5g0ke6/AFCH9EkTDbHi9etZBgwAiEgUAAEAiOPuv4XzFxji6SazWgAAes7WrSWlv3EZcIHJH1YAALAaBUAAAOKUOzdXfB6PYflvyrks/wWAYGRMnWqIFXzxBYMHAIg4FAABAIhTBZ9/bvph1mbn1wMACEbGlMki1c6ZJZs2S9mBAwwgACCi8Bs+AABxSM38cy9abIhnnH++JfkAQDRKaNlSUgcPNsQLPmcWIAAgslAABAAgDhUuXiz+khJdzNmpkyT37mVZTgAQjVgGDACIBhQAAQCIQ2azUzLOn0r3XwBoSDfghARdrHTbNindtYuxBABEDAqAAADEGW9BgXhycw3xjKks/wWA+krIzpa0YcMMcZYBAwAiCQVAAADiTOGCheIvL9fFErt3k6Qze1iWEwBEM7P9U1WjJb/fb0k+AABURwEQAIA4Y9r99/zzWf4LAA2UPmG82JxOXaxs1y4p3b6dMQUARAQKgAAAxJGKvDzxrFgR1Cb2AIDgONLTJW30aEO84DPjH1wAALACBUAAAOJI4bwvRbxeXSypV09J6tLFspwAIBaoRkrVFXzxBcuAAQARgQIgAABxvvw302TvKgBA/aSPHSu2lBRdrHz/finZupWhBABYjgIgAABxovzYMSlas8YQT5/C8l8AaCx7aqq4xuQY4iwDBgBEAgqAAADEicK580SqdaRM6ddPEju0tywnAIj5bsBz5ojf57MkHwAAKlEABAAgnrv/XsDyXwAIFdfo0WJPS9PFKo4ckeINGxhkAIClKAACABAHyg4ckOKvvtIHbTZJnzzFqpQAIObYk5IkfcJ4Qzz/s88syQcAgEoUAAEAiAMFs40fPlMHDhRn61aW5AMAsSrjggsMscIv5oi/vNySfAAAUCgAAgAQ4/x+v+TPnmWIZ1x0oSX5AEAsSxs2TBzZ2bqY9/RpcS9fbllOAABQAAQAIMaVbt8uZd/v1AedTsmYPNmqlAAgZtnU+XXq1KBmYgMA0FQoAAIAEOMKZs0y3ajekZlpST4AEOsyLjTOsC5csEB8Ho8l+QAAQAEQAIAY5vf5JP8zY/ffTJb/AkDYpJx3rjjbt9efj4uLpXDhIkYdAGCJBGu+LYLl8/mksLCQAYswFRUVvC6w7JyQnp4upaWlUs5m4ghC6YYNUnH4sC5mS00VGTCgQecxzn+wAuc+WK0h577kSROl/I1/6WKnPvlY7GNyQpwdYhXnPliN3/si99zQEBQAI5zdbtc+7COyqF8AeV1ghZKSEjl69KhkZ2dLcnIyLwLq5DaZbZIxcaJktGzZoNHj/AcrcO6D1Rpy7ku87DIprFYALFm1WlIqKiShWpMQwAznPliN3/sit07UoMeFPBMAABAR/GVlUjhnjiGecdFFluQDAPEkqUcPSTr7bH1QzSQ0OS8DABBuFAABAIhR7mXLxZufr4s5mjeXtKFDLMsJAOJJ5oUXGGL5dAMGAFiAAiAAADGqYLax+2/G+eeLLYEdQACgKWRcYCwAFq9fL+UHD/ICAACaFAVAAABikNftMe02aTYbBQAQHs62bSV14EBD3Kw7OwAA4UQBEACAGOReuED8JSW6mLNTJ0k+5xzLcgKAeGS272rBLOMMbQAAwokCIAAAMSh/1mzT2X82m82SfAAgXqVPmijidOpipTt2SMl32y3LCQAQfygAAgAQYypOnhTPihWGeMaFF1qSDwDEs4TsbHGNHBnUPq0AAIQLBUAAAGJMwWefiXi9ulhyr16S1LWrZTkBQDzLvOhC05nafp/PknwAAPGHAiAAADEm/5NPg9qDCgDQNFxjx4o9LU0XqzhyRIrWrOElAAA0CQqAAADEkNLvv5eSr7/WB+12uv8CgIXsKSmSPnmyIZ7/8SeW5AMAiD8UAAEAiPHZf2kjRkhCy5aW5AMA+K/MadMMQ1E4b574iooYIgBA2FEABAAgRqi9pPJnGTeVz7z4YkvyAQD8n9TBgyShbVvdkKjiX+GCBQwTACDsKAACABAj1F5Sak+pQGrPqfTx4yzLCQDwXza1HYPJfqwsAwYANAUKgAAAxAizD5Fqzym19xQAwHqZFxuXAXtWrpTyo8csyQcAED8oAAIAEAO0ZWTz5gW15xQAwBpJ3bpJcp8++qDPJwWzZ/OSAADCigIgAAAxQO0hVX0jebXXlNpzCgAQOcz2Zc3/1NjACQCAUKIACABAjHb/VXtNqT2nAACRI+OC80USEnSx0u++k5Jvv7UsJwBA7ONTAQAAUa782DHxrFgR1F5TAABrJTRrJq5Ro4L6Qw4AAKFCARAAgChXMPszbQ+pQGqPKbXXFAAg8pj9gSZ/9izxV1RYkg8AIPZRAAQAIMrlf/JJUHtMAQAig2vsWLGnp+ti3uMntI7AAACEAwVAAACimNozSu0dpZOQ8N89pgAAEcmelCQZU6YY4iwDBgCECwVAAACiWP7Hxtl/am8ptccUACByZV5inKldOH++eAsLLckHABDbKAACABCl/OXlkj9rliFO8w8AiHwp/fuLs0MHXcxfUiIFX3xhWU4AgNhFARAAgCjlzs0V78mTupg9M1PbWwoAENlsNptkXnKJIZ7/0UxL8gEAxDYKgAAARKnTJh8SMy+4QNtbCgAQ+cwKgMUbN0rprl2W5AMAiF0UAAEAiEIVJ0+Ke8kSQzzzssssyQcAUH+JHdpL6tChhnj+TGYBAgBCiwIgAABRKP/TWSIVFbpY0plnSnLvXpblBACov6zLLjVt8OSvdo4HAKAxKAACABBl/H6/5H/0kSGeedml2p5SAIDokT5xothdLl2s4vhx8SxfbllOAIDYQwEQAIAoU7L1ayndsUMfTEiQzIsusiolAEAD2VNSJGPq1KD2eQUAoKEoAAIAEGXyZxpn/7lyciSheXNL8gEANI6awV2de+FCqcjLY2gBACFBARAAgCjiKy2V/NmfBbWHFAAgOqSce64kdumii/nLy6XA5HwPAEBDUAAEACCKuBcsEF9BgS7maN5cXKNHW5YTAKBx1P6tZrMAT5vM+AYAoCEoAAIAEEVOz/zYEFN7/9mcTkvyAQCERua0i0Xs+o9npd9sk5Jvv2WIAQCNRgEQAIAoUX70qGlXSLNZIwCA6OJs3UrSRo00xPNn0gwEANB4FAABAIgS+R9/IuLz6WLJffpI8plnWpYTACB0si69zBDL/3SW+MvKGGYAQKNQAAQAIAr4/X45/dEMQ5zZfwAQO1zjxoojM1MX8+blSeGixZblBACIDRQAAQCIAkWr10j53n26mC0xUTIvuMCynAAAoWVPTJSMiy4yxE9/+CFDDQBoFAqAAABEAbMPf+kTJxpmigAAolvWFZcbYp5ly6T84EFL8gEAxAYKgAAARDjv6dNSOG+eIZ515ZWW5AMACJ/ks8+W5L599UG1DcSMjxh2AECDUQAEACDC5X/6qWEDeGfnTpI6ZLBlOQEAwifryisMsdMffSR+r5dhBwA0CAVAAAAivfnHB8blv1mXXyE2m82SnAAA4ZVx/gViS03VxSqOHNGWAgMA0BAUAAEAiGAlmzZJ6Y4d+mBCgmRdeolVKQEAwszhSpOM86ca4jQDAQA0FAVAAAAiWN4HHxhi6WPHSELLlpbkAwBoGtkm+7wWLlosFceP8xIAAOqNAiAAABHK63ZLwedfGOJZVxj3hgIAxJbkc86RpB499MGKCjk982OrUgIARDEKgAAARKiCzz4Xf3GxLpbQtq2kjRxpWU4AgKah9nk16/aulgGr/WEBAKgPCoAAAESo0ybLf7Muu0xsDocl+QAAmlbmtIvElpioi5Xv2ydFq9fwUgAA6oUCIAAAEahk2zYp2bpVH1SzQS671KqUAABNzJGVJemTJgX1ByIAAGpDARAAgAh0+oMPDTG19NfZvr0l+QAArGG2DLhw3jypyMuzJB8AQHSiAAgAQITxFRdL/qxZhnjWlTT/AIB4kzp4kDg7d9LF/OXlUvDpp5blBACIPhQAAQCIMAWffy6+wkJdzNG8uaSPGWNZTgAAC5uBmHR/z3vvfZqBAACCRgEQAIAIk/fue4ZY1qWXGDaCBwDEh6xLLxVJSNDFynbtkqI1ay3LCQAQXSgAAgAQQYq3fi0lW7bog2r2x9VXW5USAMBiCS1aSPrECYZ43rvTLckHABB9KAACABBBzD7MqeYfiR07WpIPACAyZF9zrSFW+OV8qTh+3JJ8AADRhQIgAAARwltQIAWffW6IZ197jSX5AAAiqxlIYrdu+mBFhZyeMcOqlAAAUYQCIAAAESL/k0/FX1ysiyW0bSuunBzLcgIARE4zkGyT7SDy3n9f/F6vJTkBAKIHBUAAACKA3++XvHffNcSzrrxCbA6HJTkBACJL5iUXiy05WRerOHRY3Lm5luUEAIgOFAABAIgAxevWSdnOnfpgQoJkXXGFVSkBACKMIyNDMi443xA3+wMSAACBKAACABAB8qYbP7yljx8vzlatLMkHABA9zUA8uUul7MABS/IBAEQHCoAAAFis4sQJKfjyS0M8+xrjXk8AgPiW0rePJPfurQ/6/XL6vfetSgkAEAUoAAIAYLHTH80UKS/XxRLPOENShw61LCcAQOQy6w6vugH7y8osyQcAEPkoAAIAYCHVufH0e+8Z4lnXXK11fAQAoLqM888Xe3q6LuY9dcp0NjkAAAoFQAAALORZtkzKDx7UxWxJSZJ1ySWW5QQAiGz21FTJvPhiQzxv+nRL8gEARD4KgAAAWOjUf942xDKmThVHVpYl+QAAooPZPrHF69ZLybffWpIPACCyUQAEAMAipbt2i2fp0qD2dgIAIFBS9+6SOniwYVBO/ec/DBQAwIACIAAAFsl75x1DLPmccySlXz9L8gEARJfsG643xApmzZaKvDxL8gEARC4KgAAAWMDr9kj+zJmGeDOTD3MAAJhJHzdOEtq21cX8paWSP2MGAwYA0KEACACABfI//lh8Ho8u5mjeXNKnTOH1AAAExZaQINnXXmuI570zXesyDwBAJQqAAAA0Mb/PJ3lvG5t/ZF99ldgTE3k9AABBy7ryCrFV+7+j/NAhcS9axCgCAKpQAAQAoIl5VqyUst279cGEBMm6muYfAID6ScjOlowLLwyqyzwAIH5RAAQAoInlvfWWIZYxaZI4W7fitQAA1JvZ/rFFq1ZJyfbtjCYAQEMBEACAJlS2b5+4c3MN8ewbbuB1AAA0SHKvXpLSv78hnve2sds8ACA+UQAEAKAJaR/G/H7jB7fzzuV1AACEdBZg/qefijc/n1EFAFAABACgqaiuv6c/+sh09p/NZuOFAAA0WPrEiZLQSr+VhL+4WE5/NJNRBQBQAAQAoKnkz5olvsJCXcyhNm+/4HxeBABAo9icTsm+1thMKu+dd8Tv9TK6ABDnWAIMAEAT8Pt8curfxuYfWVddJfakJF4DAECjqf9TVCEwUPn+/eJevJjRBYA4RwEQAIAm4Fm6VMp27dIHHQ7JvuZqxh8AEBIJzZtLxvlTDfFTb/yLEQaAOEcBEACAJnDyX8YPXxmTJ4uzbVvGHwAQMtk33WSIFa1bJ8VbtjLKABDHKAACABBmJd9+K0UrVxnizW65mbEHAIRUSu/ekjp4sCF+6s03GWkAiGMUAAEACLNT/zJ+6EoZMEBSzjmHsQcAhFyzW24xxArmzJHyw4cZbQCIUxQAAQAIo/JjxyT/s88McWb/AQDCxTUmRxI7d9YHKyok7+23GXQAiFMUAAEACKO8d94RKS/XxZwdO0r6uHGMOwAgLGx2u+kfmvLee198Hg+jDgBxiAIgAABh4isultPT3zXEm910k9gcDsYdABA2mRdfLI7MTP3/S4WFcnrmx4w6AMQhCoAAAIRJ/iefiDc/X/8fb3q6ZF12KWMOAAgre2qqZF1zjSF+6t//Fr/Xy+gDQJyhAAgAQBj4fT7T5h/ZV18l9rQ0xhwAEHbZ110n4nTqYuX79ol70SJGHwDiDAVAAADCwL1kiZTt2aMPJiRI9g03MN4AgCbhbN1KMs8/3xA/+a9/8QoAQJxJkDhx7Ngx+fzzz2Xfvn1SUlIiLVu2lGHDhsngwYPFbm98HfStt96Sr776Su69915p27ZtSHIGAEQvs9l/GVOmiLNNG0vyAQDEJ9UMRG1JEah43Xop3rJFUvr2tSwvAEDTiosCYG5urvz1r3+ViooKXXzRokVy7rnnyn333SepqakNPn5BQYHMnj1biouLpaysLAQZAwCimfpQVbR6tSHe7GZjR0YAAMIpuWdPSR06VIpWrdLFT776mnT4218ZfACIEzG/BHjHjh3y7LPPasW/vn37yv333y+PPfaY3HrrrVrRb+PGjfLCCy806Njl5eWyadMm+dOf/qQV/wAAUE6+8qphIFIGDpCUvn0YIACAJbMAqyucN8+4VQUAIGbF/AxAtTTX6/VKnz59tEKdw+HQ4urfXbt2lYceekiWLl0qF198sZx55plBHfPEiRPywAMPyPHjx7VjAwBQqXT3bin88kvDgDS//XYGCQBgCdfo0ZLYvZuUfb/z/4J+v5x8/Q1p+6c/8qoAQByI6RmAJ0+e1Gb4Kdddd11V8a9Sv379pGPHjtr1JUuWBH1ctcz3yJEjFP8AAAanXn9D+1AVKKlHd3Hl5DBaAABL2Ox2aX77jwzx/JkzpfzYMUtyAgA0rZieAbhlyxbta1pamvTq1cv0PqoIuH//fvnmm2+CPq5qIPL000////buAzyKav3j+LvZTe+VXhUE7GLHAly94lUUVESxiwUE8f6tWFDEggXErogdFVFE9KpYEDvlCih4EQsgoQTSe8/u/p9zwsYkswkJJDu7s9/P8+yTzZnJ7MlEh93fnPOeuu/z8/Pl/vvvb4MeAwACmfoQVbhokaE9aexY/eELAACzxJ/xL8l+8kmp2bmzrs1dXS35c+dK2k038YcBAIuz9KeRzZs36689evRocqVftU3JyMho8XFDQ0OlT58+dQ/PMQAAwS3/9df1h6n6HJ06SfwZZ5jWJwAAFFtYmCR7qQWYP+9tcRYXc5IAwOIsPQJQrc6rJCUlNblPbGys/qoW8VD1/BpPE25PFRUVUllZ6XWby+XSX91ut94P/kUtAMPfBWbwrDTOiuP+x1VcLHlvzze0x118sVSqerEWqRnL9Q9m4NoHs1nl2hcxfLiEPPOsuHZ/TlJcJSWS/cabknDF5ab2DUZc+2A2q1z7rMbdqNxQS1k6ACwpKdFfw8PDm9xHTQ/2UGGcWhnYV9LT0/Uqxc1RoeTWrVt91icAgUHVIYV/cb33nrh3/7tTJzZWCo46Ugq5jgNtgmsfsO/cpw8Tmf+OYQR74Ykn6FGC8D9c+wDUt7eL0Vo6ALTZbPprTU1Nk/vU39ZcUNge1NThjh07et22cuVKfcdHjUjs3r27T/uFPSsrK/NpWAw0XoRIXTvCeJPuN1yVlbL940+k8T/FCRdeKIktXGE+UHD9gxm49sFsVrr2Oa+9VrZ98KG464/qyc+XxLXrJO7cc8zsGhrh2gezWenaZyVqMFlzOVdQBoCe/1BLS0ub/Q/aMxLQl9N/lYiICP3wxlOzUIWYTe0Dc4dC83eBmVT4x3+D/iP/gw/FmZPToM0WESGpV1wuDotdw7n+wUxc+2AWS137OneWhHPPlfw332zQXPz665J6wWix+fgzEfaMax/MYqlrnwUHu7WWpRcB8Yyuy8zMbHKfrN3L3nfq1Mln/QIAWIfb6ZTcl18ytKsPV47ERFP6BABAc5KuuEKkUdBXlZ4uxV8s4cQBgEVZOgDsu3va1fbt26WwsNDrPhs2bNBf+/fv79O+AQCsofizz6Q6vVGtVru99sMVAAB+KKxrF4k7/XRDe84Ls/e6uDwAwL9ZOgA86KCD9NRe9Y/Y559/btiu6mitWbNGPx80aJAJPQQABDK3yyU5zz1vaI/717/0hysAAPxV8tVXGdoqf90gpd9+a0p/AADty9IBoFrUY/jw4fr522+/LcuXL6/blpGRIQ888IAunHjooYfKgAEDTOwpACAQlSxdKpVeVnNPvsr4oQoAAH8SccABEnPyyYb2nGefYxQgAFiQpRcBUc4//3xZu3atnuo7ffp0SU5OlsjISB0AulwuSUlJkQkTJhh+bsWKFfLOO+/o51OnTpW4uDgTeg8A8FdqdLn6kNRYzCn/kIgDrLXyLwDAmlLGj5OSb75p0Fa+dq2ULV8u0ccfb1q/AABtz9IjABWHwyH33XefjBgxQk8Hzs3N1TUB1aopJ554ojzyyCN1i4XUV1RUJBs3btQPp9NpSt8BAP5LTZGq+PVXQ3vKuPGm9AcAgNaKPOwwiT7+OEO7txtcAIDAZvkRgJ5l06+88kq59NJLJTs7Wwd6qampeopwU4499ljp1auXfr6n0X9JSUkyc+ZM/ZzVhAEgeEf/RZ98kkQedKApfQIAYG+kjB8vpcv+LpWklK1aJWU//ihRRx3FSQUAiwiKALD+aMCWBnQq9GvptN/Q0FDp06fPPvYOABAo1NQoNUWqsdTxjP4DAAQWFfJFHXmkDv3qU4tcdScABADLsPwUYAAA2prX0X/HH6enUgEAEGhSrjPewCpdtszrzS4AQGAiAAQAoBXUlKjGoyQ8U6gAAAhEUccdJ5GHHmpopxYgAFgHASAAAK2Q85xx9J+aOkWdJABAoFILJHobBahWCC5fv96UPgEA2hYBIAAALVT+88+GQumKtw9NAAAEkuiTTpKIA40LWeU+/7wp/QEAtC0CQAAAWij76WcMbWrKlJo6BQBAwI8CHD/O0F78xRKp2LDBlD4BANoOASAAAC1QtmaNlH7/vdfRf+pDEwAAgS5m6FAJ79vX0J791NOm9AcA0HYIAAEAaIHsJ540tEUcdJCeMgUAgBXYQkIk5brrDO0lS5dK+S+/mNInAEDbIAAEAGAPSleslLKVKw3tqTdMYvQfAMBSYv95qoT362doz37yKVP6AwBoGwSAAAA0w+12S/aTxtF/kYcfLtEnnMC5AwBYbhRg6qTrDe2l330nZWt+MqVPAIB9RwAIAEAzSr//QcrXrDG0p95wA6P/AACWFDNkiEQcfLCh3dsNMQBAYCAABACglaP/oo45RqKPPYbzBgCwJLW4lbdRgGUrVkjpyv+a0icAwL4hAAQAoAklX30tFV6KnqvafwAAWJkqc6HKXTSmboypG2QAgMBCAAgAgBdul0uyn3rK6weiqCOO4JwBAKw/CtDLDa/y1aul9IdlpvQJALD3CAABAPCi+IslUrlhg6Hd25QoAACsKPrYYyXq6KMN7YwCBIDAQwAIAEAj7poayX7qSa9F0SMPOYTzBQAIGt5GAVasWyclS5ea0h8AwN4hAAQAoJHCDz6Qqo2bDOeF0X8AgGATNXCgRA8aZGjPmjVL3E6nKX0CALQeASAAAPW4Kiok+6mnDeck9rTTJKJ/f84VACDoeBsFqG6UFS76wJT+AABajwAQAIB68t98U2p27Wp4Tux2Sb3hBs4TACAoqfIXsf/8p6FdLZalbpwBAPwfASAAALs5CwslZ/YLhvORcN55Et67F+cJABC0Uv/9b31DrD51w0zdOAMA+D8CQAAAdst98UVxFRU1OB+2iAhJue46zhEAIKipG2EJ555raFc3ztQNNACAfyMABABARKp37ZK81+cazkXSZZdJaIc0zhEAIOilTJigb4zVp26c5c6ZE/TnBgD8HQEgAACqjtHTT4u7srLBubDHx0vyVWM5PwAAiOgbYurGWGN5c9/QN9IAAP6LABAAEPQqN22SwoXvG85D8rhxYo+NDfrzAwBA3b+NV43VN8jqUzfQ1I00AID/IgAEAAS9rFmzRFyuBufB0bmTJI65MOjPDQAA9akbY+oGWWPqRlrlxo2cLADwUwSAAICgVrZqlZQs+dLQnjppkoSEh5vSJwAA/Jm6QaZulDXgcknWozPM6hIAYA8IAAEAQcvtcknm9IcM7eF9+0r88OGm9AkAAH+nbpCpG2WNlXzzjZQuW2ZKnwAAzSMABAAErcIPP5SK9esN7Wk33Sg2u92UPgEAEAjUjbLwAw4wtGc+9LC4nU5T+gQAaBoBIAAgKLnKyiT7sVmG9ujjj5fok04ypU8AAAQKdaOsw223Gtor//hDCha8Z0qfAABNIwAEAASl3JdelpqsrIaNISGSNvk2sdlsZnULAICAoW6axQwebGjPfvJJcZaUmNInAIB3BIAAgKBTvWuX5L70kqE9YdQoiejb15Q+AQAQiNJuvVXE4WjQ5szNldzZs03rEwDAiAAQABB0smc9Lu6KigZtITExkjrpetP6BABAIArv3UsSL7zQ0J736mtStX27KX0CABgRAAIAgkr5L/+Twg8+MLSnjLtWHMnJpvQJAIBAljrhOgmJj2/Q5q6ulqyZM03rEwCgIQJAAEDQcLvdkvnQQ4b20C5dJPGSS0zpEwAAgc6ekKBDwMaKF38qZWvWmNInAEBDBIAAgKBR/NlnUr56taE97ZabJSQ83JQ+AQBgBWoacFjPnob2zAeni9vlMqVPAIC/EQACAIKCq7RUMh962NAeOXCgxJ52mil9AgDAKmyhobULgjRS8b//ScGCBab0CQDwNwJAAEBQyJn9gtTs2mVo7zD5NrHZbKb0CQAAK4kZMliijjvW0J792CxxFhSY0icAQC0CQACA5VX+9ZfkvvKKoT3+3HMk8uCDTekTAABWo26odbzjDhG7vUG7Cv+ynnjCtH4BAAgAAQDBsPDHAw+KVFc3aA+Ji5O0G280rV8AAFhReJ8+knTxxYb2grfnS/n69ab0CQBAAAgAsLjiJUuk9PvvDe2pkyaJIznZlD4BAGBlKddPFHtqSsNGdUPuvvtZEAQATMIUYACAZbnKyyVz+nRDe3i/fpJ4wWhT+gQAgNXZY2Kkwy23GNrLf/5ZChd9YEqfACDYEQACACwrd84cqcnYaWjvePcUsTkcpvQJAIBgEDd8uEQOHGhoz5o5U5xFRab0CQCCGQEgAMCSqrZuldwXXzK0x599lkQdcYQpfQIAIKgWBJlyl0hIw4+cztxcyX7qadP6BQDBigAQAGDJhT923X+/uKuqGrSHxMRI2s03m9YvAACCSYQquXHhhYb2/DfflIpffzWlTwAQrAgAAQCWU7x4sZR++52hPfX6ieJITTWlTwAABKPUGyaJPSmpYaPLJTvvvkfcTqdZ3QKAoEMACACwFGdhoex60MvCH332l8QxY0zpEwAAwcoeFydpN91kaK/43//0SEAAgG8QAAIALCVr5mPizMkxtHe8916xhYaa0icAAIJZ/MgREnmkcUGQ7MefkOqdxsW6AABtjwAQAGAZZatXS8E77xjaE0aPZuEPAABMYgsJkU733ivS6Eacq6xMdt13v67dCwBoXwSAAABLUAt+7LznHkO7PTVF0m660ZQ+AQCAWuH77ScpV19tOB0lS5dK8RdfcJoAoJ0RAAIALCH3pZekauMmQ3vHO+7Q9YcAAIC5kq+9RsJ69jS0Z97/gDiLi03pEwAECwJAAEDAq/zrL8l57nlDe/TJJ0nssGGm9AkAADQUEh6ua/I2VpOVJdmzHud0AUA7IgAEAAQ0VTdo19R79RTg+myRkdJxyt1is9lM6xsAAGgo+pijJf6ccwynJX/ePCn76SdOFwC0EwJAAEBAK5j/jpStXGloT500ScK6djGlTwAAoGlpt9ws9qSkho1ut+y88y5xVVZy6gCgHRAAAgACVtX2HZL1yCOG9ogBAyTpkotN6RMAAGieIzFROtw+2dBetXmz5Dz1FKcPANoBASAAIGCn/u6ccpe4ysoabrDbpeO0aWJzOMzqGgAA2IO4M8+U6BNPNLTnvvyKlK9dy/kDgDZGAAgACEgF77wrZctXGNqTr75KIg860JQ+AQCAllE1ejtNu1dCYmIabnC5JOOOO5kKDABtjAAQABBwqnfskKyHHza0h/fZX1Kuu86UPgEAgNYJ7dRJOky+zdBetWmT5Dz9DKcTANoQASAAIACn/t7tdepvpwenS0hYmFldAwAArRR/7rkSPWiQoT33pZek/JdfOJ8A0EYIAAEAAaVgwQIpXbbM0J48dqxEHnyQKX0CAAD7MBX4vmkSEh1tnAp8++3iqqri1AJAGyAABAAEjOqMDMl6yDj1N2z//SRl4gRT+gQAAPZNaOfOknbbrYb2qo2bJOeppzm9ANAGCAABAAHB7XRKxm2TxVVa2nBDSIh0fvBBpv4CABDAEkaNkujjjzO05774opStWmVKnwDASggAAQABIe+VV6Tsxx8N7cljr5TIQw4xpU8AAKAtpwLfJyFRUQ03uN2Scett4iwu5lQDwD4gAAQA+L2KX3+VrCee9L7q78SJpvQJAAC0rdAuXSTNy6rAqgRI5v0PcLoBYB8QAAIA/JqrokJ23HqrSHV1g3ZbaKh0fvRRCQkPN61vAACg7acCxwwdamgv/OADKfr0U043AOwlAkAAgF/LmvmYLgLeWOq//y0R/fqZ0icAANCOU4Hvv0/sKSmGbTvvmSrVmZmcegDYCwSAAAC/VfLd95I/d66hPeqYYyTpistN6RMAAGhfjqQk6fzA/YZ2V2Gh7Lz9dnG7XPwJAKCVCAABAH6pJj9fMu643dAeEhsrnR+aLrYQ/gkDAMCqYk4+WRLHXGhoL1223OvNQQBA8/j0BADwO263W3beeZc4s3MM2zpOvUdCO3UypV8AAMB30m65RcJ69TK0Z82YqRcIAwC0HAEgAMDv5L32mpQsXWpojxs+XOLPOMOUPgEAAN8KiYzUC36Jw9Gg3V1dLdv/7//EWVLCnwQAWogAEADgV8rXrdMLfzTm6NxJOk65y5Q+AQAAc0QedKCkTpxoaK9O3yq77r5HzxoAAOwZASAAwG84i4pkx//dKFJd3XCD3S5dZswUe1ycWV0DAAAmSb76Kok69lhDe9Enn0jBggWm9AkAAg0BIADAr+r+Ve/YYdiW+u8bJOqIw03pFwAAMJfNbpfOjzws9uRkw7bM+x+Qit//MKVfABBICAABAH4h/623pPiLLwzt0SeeKMljx5rSJwAA4B9C09J0CCg2W4N2d2Wl7Pi//xNXWZlpfQOAQEAACAAwXfn69ZL10MOGdod6s//wQ2IL4Z8rAACCXcygQZJ87TWG9qrNm2XXtPtM6RMABAo+UQEATOUsLNR1/9SKfg2EhEjnGY+KIynJrK4BAAA/oxYEiRw40NBeuGiR5L/7ril9AoBAQAAIADCN2+WSHbfeKtVbtxq2pUy4TqKPPtqUfgEAAP9kcziky8wZYk9IMGzLnHaflK9bZ0q/AMDfEQACAEyT88yzUvrNt4Z2tdJfyrhxpvQJAAD4t9COHaXTQ9MN7Wo2wfYb/i01eXmm9AsA/BkBIADAFMVffSU5zzzjte5fl0cf0Sv+AQAAeBM7eLAkX2OsB1izc6fsuPEmcdfUcOIAoB4CQACAz1Wlp0vGrbcZN4SGSpcnHhdHaip/FQAA0KzUGyZJ9PHHG9rLVqyQrFmzOHsAUA8BIADAp1xlZbJ94vXiKi42bOt45x0Sdfjh/EUAAMAeqdkCnWfOkNDOnQ3b8l56WYo+/ZSzCAC7EQACAHzG7XbLzrumSOWffxq2xZ9zjiSMHs1fAwAAtJgjMVG6PPWk2MLDDdsy7rhTKv74g7MJAASAAABfyp39ghR98omhPeLAA6Xj3VPEZrPxBwEAAK0Sqd5HTJ1qaHerWQfXTZCa/HzOKICgxwhAAIBPFH3+uWQ//rih3Z6QIF2ffEJCIiL4SwAAgL2SMHKEJI4ZY2iv3r5dtl9/vbirqjizAIIaASAAoN2Vr18vGbdN9vKvUIh0eWymhHbpwl8BAADskw6Tb5NIL7WEy1etlp1T79WlSAAgWBEAAgDaVXVmlp5+4y4v9/pG3dvqfQAAAK1lCwvTswocnToZthUuXCh5L7/CSQUQtBxmdwDNc7lcUuxlpUyYq6amhr8LTLsmxMbGSmVlpVRXV/v9X8FVUSHZ48ZJTWamYVv0OSPFMWIE/y8FGK5/MEOgXftgPVz7AkhEhCTNeFSyr7racPMxa8YMcXbsKJEnnSiBgGsfzMa1z3+vDXuDANDPhYSE6De88C8qlOXvAjNUVFRIZmamJCYmSoSf18xT02x23H23VG/YYNgWdeyx0u3ee8UWGmpK37D3uP7BDIF07YM1ce0LMAMHStjMGbJ9wkT1huTvdrdb8qdMkbh5b0nEAQeIv+PaB7Nx7fPfnGivfq7NewIAgIhkz3pcihd/ajgXoT26S9fHZxH+AQCAdhM7dKik3XSjod1VVibbrh0n1V5mJwCAlREAAgDaXP68eZL7wgvGf3RiY6Xbc8/rlX8BAADaU9LYsRI/YoShvWbXLtl29TXipNQSgCBCAAgAaFPFX34pu+6737jBbpcuj8+S8N69OOMAAKDd2Ww26TjtXokcONCwrfKPP2T79ZPEXVXFXwJAUCAABAC0mbKffpIdN96kKtMatnWcMkViBg3ibAMAAJ8JUSsDP/WkLkHSWNmKFZJxx53i3suC+gAQSAgAAQBtonLzX7J93HhxV1YatiWPHyeJF4zmTAMAAJ9zJCVJ9zlzxJ6UZNhW9NFHkjVzJn8VAJZHAAgA2Gc12dmy7eqrxVlYaNgWP3KkpE6axFkGAACmCeveXbrNfl5skZGGbXkvvSx5r881pV8A4CsEgACAfaJCv61XXS3VO3YYtkWfcIJ0mnavrsEDAABgpsiDD5auj8/SdYkby5w+XQr/85Ep/QIAXyAABADsNVdpqWy75lqp/P13w7aIAQOky+OPiy00lDMMAAD8QszJJ0une6caN7jdkjF5sl7MDACsiAAQALBXXJWVsm3CRClfu9awLbRLFz3Nxh4TzdkFAAB+JeG88yRlwgTjBqdTdvz7/6R02TIzugUA7YoAEADQau7qav0GWa2e15g9OVm6vThHHKmpnFkAAOCXUiZOkITRo72+x1E3OMt++smUfgFAeyEABAC0itvplIzJt0vJV18Z/1GJi5PuL70o4b16cVYBAIDfUvWJO949ReLOPNOwzV1eLtuuHScVGzaY0jcAaA8EgACAFnO7XLJr6lQp+vhjwzZbVJR0f2G2RPTrxxkFAAB+z2a3S+fpD0rM0KGGba6iItk69iqp3LTJlL4BQFsjAAQAtDz8u2eqFLy7wLDNFhYm3Z55WiIPO4yzCQAAAoZarKzLrMck6thjDduceXmSftnlUrlxoyl9A4C2RAAIAGhh+HePFLz7rnGj3S5dHp8l0ccdx5kEAAABJyQ8vPZG5qGHGrY5c3IIAQFYAgEgAKCF4Z9x5J/YbNL5oYck1svUGQAAgEAREh0t3V6YLeEHHGDY5szNrQ0B//zTlL4BQFsgAAQANBv+7Zwypcnwr9ODD0r8cGPxbAAAgEBjj4+X7q+8LOF9+zYZAlb88YcpfQOAfUUACABocrXfnXdNkcL3FjYZ/iWMHMHZAwAAluFISpLur77iPQTMy5Otl18hFb8TAgIIPASAAAADd1WVZNxyixQubCL8m074BwAALBwCvvaq9+nAamGQSy+V8rVrTekbAOwtAkAAQAOu8nLZNnGiFH2y2Mu/GiHS+eGHJGEEI/8AAIB1ORITa0cC9utn2OYqLJT0K66U0uXLTekbAOwNAkAAQB1ncbFsvfpqKf32uybDv/izzuKMAQCA4AgBVU3A/v0N29xlZbLtmmul+MsvTekbALQWASAAQKtRU1ouu0zKV602nhGHQzo/+ojEDx/O2QIAAMEVAr78kkQcfLBhm7u6WrZPukEKP/jAlL4BQGsQAAIApHrnTkm/+BKp/HWD4WzYwsOl69NPSfwZZ3CmAABAkI4EfEWijjnGuNHplIzbJkve63PN6BoAtBgBIAAEuYoNG2TL6AukavNmw7aQ6Gjp/uIciR082JS+AQAA+AN7TLR0e2G2xAwZ4nV75oMPSuajj4rb5fJ53wCgJQgAASCIlXz3vaRfdLHUZGUZttkTEqT7a69J1FFHmdI3AAAAfxKiZkU8+YTENVESJe+llyXj5pvFVVnp874BwJ4QAAJAkCp47z3ZNm6cuMrKDNscHTpIjzffkMiDDjSlbwAAAP7IFhqqF0VLHHOh1+1FnyyWrWPHirOgwOd9A4DmEAACQJBxu92S/dTTsvPOu3TdmsbCevWSHm++KeH77WdK/wAAAPyZLSREOkyZIinXXed1u1pQbcuYi6Rq+w6f9w0AmkIACABBRE1J2Tl5suQ884zX7ZEDB0rPeW9JWNcuPu8bAABAoLDZbJI66XrpdP99Ina7Ybuqrbzlgguk/OefTekfADRGAAgAQaI6K0u2XnqZFH7wodftsacPk+4vv6Rr/wEAAGDPEs47T7o9/7yEREUZtjlzciT9kkulYNEiTiUA0xEAAkAQKP/fetky6nwpX7vW6/aksVdKl5kzdXFrAAAAtFzMiSdIjzfmiiM11bDNXV0tOyffLpmPPCpuL6VXAMBXCAABwOKKPvlE0i++WGoyM40bbTbpMOUu6XDLLbqeDQAAAFovYsAA6Tn/bQnb33sN5byXX5Zt48eLs7iY0wvAFHzaAwCLUneZs2Y9LjtuvEncFRWG7SHR0dL1uWcl6aKLTOkfAACAlYR27iw9582T6BNP9Lq99NvvZMvoC6Ry818+7xsAEAACgAXV5OXJtquvkdzZs71uD+3eXXq+M19iBw/2ed8AAACsyh4bK92ef06SrrjC63a9OMioUVL06Wc+7xuA4EYACAAWo1ab++ucc6V02TKv26OOO1Z6vTNfwvfzPkUFAAAAe89mt0uH226VTtOniy001LDdVVoqO/79b8mc/pCuEQgAvkAACAAW4Xa7JW/uG7LlkkulZtcur/skXnyxdH/hBVb6BQAAaGcJI0dI99dfE3tKitftea+9JumXXS7V3uo0A0AbIwAEAAtwlpRIxk03S+YDD4h4uZOs7j53vG+adLzrTq93ogEAAND2og4/XHq9+45EHHyw1+3la9bUztxYvpzTD6BdEQACQIArX7dO/hp5jl7t15vQLl2kx7x5kjhqlM/7BgAAEOxCO3WSHm++IYljLvS63ZmbK1uvHCtZMx9jSjCAdkMACAAByu1ySc4Lc2TLmIukets2r/tEn3yS9HpvgUQedKDP+wcAAIBaIWFh0vHuu6Xzo4+ILTLSeFrcbsmdM0e2XHSxVG3dymkD0OYIAAEgANVkZek7xdmPPSZSU2PcwWaT1BsmSbfnnqPeHwAAgJ+IHz5ces5/W8J69vS6vWL3zI7CDz/0ed8AWBsBIAAEGPey5bLj/NFStmKF1+325GTp9uIcSRk/XmwhXOYBAAD8SUTfvtJzwbsSe/owr9vVKsEZt94mWXfcKe6SEp/3D4A18ckQAAKEs6BAsm6/Q1wPPSSuggKv+0SfeKL0/mCRxAwa5PP+AQAAoGXsMTHS5bHHpNMD93ufEiwipZ98Iq6J10vZDz9wWgHsMwJAAAgAxV9/LZuHnyWlixd73yE0VNIm3ybdZj8vjpQUX3cPAAAArWSz2STh3HOl13vvSfiA/t53ysuTzAkTZeeUKeJkNCCAfUAACAB+zFlcLBl33Cnbx42Xmuxsr/uE9eolvea/LcmXX86UXwAAgAAT3ruX9Hz7bUm6/PIm9yl4d4FsPussKW2iBAwA7AkBIAD4qeIlS2TzGWdK4cKFTe6TcP75epXfiAEDfNo3AAAAtO0qwR3UbI45c8SRluZ1n5qMnbL18itqRwMWFnL6AbQKASAA+JnqzEzZfv31sn3i9Xq1X2/saWn6DWKnafdKSFSUz/sIAACAthdz4gnS+z8fStxZw5sdDbjpjDOl6JNPxO1282cA0CIEgADgJ9xOp+S9+aZs/tcZUvzFkib3sw0dKl0WLNBvEAEAAGAt9vh46fLII5L22GMi8fFe93Hm5MiOG2+SbePGSfWOHT7vI4DA4zC7AwAAkfL/rZdd902TirXrmjwd9pQUSb7rTsnt3VvscbGcNgAAAAuLHjpEQlJTJOK116Vsifebw6XffCubzhwuKdeNl+TLLhNbWJjP+wkgMDACEABMVJOfLzvvvke2jBrVbPgXf845ejpI9ODBPu0fAAAAzGOLj5e0Rx+RLk88IY7UVK/7uMvLJXvmY7L5rLOl5LvvfN5HAIGBABAATOCuqdHTfTcNO10K3nlHpIn6LWE9ekj3V1+Vzg8+II7ERJ/3EwAAAOay2WwSd9o/pffHH0nCBaOb3K9qyxbZdvU1su26CVK1bZtP+wjA/xEAAoCPlS5fLn+dN0oy77tfXE2t4OZwSPL4cdLrww8k+thjfN1FAAAA+Bl7XJx0mjpVerz1poTtv1+T+5UsXSqbzzhTsmY9Ls6SEp/2EYD/IgAEAB+p+OMP2XrNNbL1iiul8rffmtwv8siB0mvhe5J2ww0SEh7O3wcAAAB1oo44QnovXCip/75BbBERXs+Mu6pKcmfPlk3/PE3y3npL3NXVnEEgyBEAAkA7q87Kkp1TpshfI0ZK6bdN12VxpKVJ5xkzpMfcuRLRty9/FwAAAHilFvtIGTdO9vvkY4k97bQmz5IzL08yp92n6wMWf/mluJsoOwPA+ggAAaCdOAsLJevxx2XTacOk4N0FIi6X9x1DQyX56qtkv8WfSPyZZ+g6LwAAAMCehHbuLF2feFy6v/Jys9OCq/76S7ZPmCjpF18iZatWcWKBIOQwuwMAYDXOklLJf2Ou5L78iriKiprdN/rkk6TD5MkS3quXz/oHAAAAa4k+7jjp/f77epG5nGefa/I9aPnq1ToEjB40SFJvmCSRhxzi874CMAcBIAC0EVdFheS/NU9y58wRZ35+s/uG9+8vHW69Rb9ZAwAAAPaVTc0qufxyiT/7bMl9frau/SdN1P4r/eEH/YgZOlRSJ10vEf368QcALI4AEADaYMRfwdvzJPfV18SZk9P8RbdjR0n7v39L3PDhYguhCgMAAADaliMxUTrcPlkSLxojWbNmSfHiT5tdMVg9Yk75h6RcO04iDz6IPwdgUQSAALCXnAUFkjf3Dcl74w1xFRY2u29IXJwkjx0rSZddKiFNrNYGAAAAtJWw7t2l66xZUn7ZZZI5Y4aUr1rd5L4lS77UDzU1OGXctRJ11FH8IQCLIQAEgFaq3rVL8ubOlYJ5b4urrKzZfUOioiTxsksl+YorxB4Xx7kGAACAT0Uedpj0mDtXSpctk+wnnpSKdeua3NczNTjyyIGSfNVVEnPSScxaASyCABAAWqhiwwbJfeUVKfpksUhNTbP72sLDJfGiiyT5qrHiSEriHAMAAMA0NptNYgYNkujjj5eSr77SQWDl7783ub8aLbh91WoJ691bki6/TNcVDAkP92mfAbQtAkAAaIbb5ZLS776T3FdelbIVK/Z4rmwREZJw/ih9xzQ0LY1zCwAAAL8KAmOHDpWYwYOl+LPPJOf52c0GgVWbN8uuu++R7MefkMQxYyTxwgvEkZzs0z4DaBsEgADgRU1+vhQufF/y58+X6q1b93iOQqKj9Yg/VeOPN0UAAADwZ2oxurjTT5fYYcOk5KuvJef555udGuzMy5Ocp5+W3NmzJfa00yRxzIUSefjhOlAEEBgIAAFgN7fbLRVr10r+vLelaPFicVdV7fHc2OPjdY2/pIsu0s8BAACAwBoROERihgyWsuXL9YjAsv/+t8n93dXVUvTRR/oR3revDgLjzhwu9phon/YbQOsRAAIIemohj8KPP5b8efOk8tcNLTofod2769F+CSNH6oU+AAAAgEAOAlV9QPUoX7dO170u/uxzEZeryZ+p/OMP2TX1Xsl6dIbEn32WJFxwgUT07evTfgNoOQJAAEE72q98zRopXPSBHu3nKilp0c9FHnGEJF1xua6dYrPb272fAAAAgC9FHnKIdJ01S6q275D8ua9LwbsL9A3zprhKSyX/rXn6EXnooRI/coSeXszsGMC/EAACCCrqjUzhB4uk8IMPW1TbT7GFhur6KEkXjZHIww5r9z4CAAAAZgvr2kU63H67pEyYIAUL3pP8+W9LdXrz75/L167Vj8wHp0vM0KESP+JsiTnhBLE5iB4As/F/IQDLc5aU6lXOChctkrIff2zxz4V27SoJo8+XhHPPFUdSUrv2EQAAAPBH9rg4Sb7yCkm6/DIpXbZc8t+eJyVLv2p2erCqpV386af6YU9Jkfgzz9QjAyMOOMCnfQfwNwJAAJakpimUfPONFC3+VEq+/VbcFRUt+0GbTWJOPlkXNI5WdytDQtq7qwAAAIDfU++LY04YpB/VO3dKwbvvSv6774ozO6fZn3Pm5Ejeq6/qR3if/fXMmrhhwyR8v/181ncABIAALGSvQz91MUxNlfiRIyXh/PP1dAcAAAAA3oV26iSpkyZJyvjxUvzll5I/f76UrVipCm03e8oq/9wolX8+LTlPPS3hffpI7LDTCAMBH2EEIICA5iwu1mGfWqWstaGfLTxcYv/xDz0dIfq446hNAgAAALSCqpWtRvOpR3VGhhR++KEUvr9IqtLT9/izlX/+qR/1w8DYU06R8L599arEANoWASCAgKPeUBR/9ZWUfPW1lK1eLVJT06qfVyv5qoLEenWy2Nh26ycAAAAQLEI7d5aUceMk+dprpfznn6Vw0QdStHixuIqKWhUGOjp3ktjBQyRmyGCJOuYYCQkL80n/AasjAATg99w1NVL+009S/NXXUvLVV1L111+tPkZoj+4Sf8YZEn/22RLWo0e79BMAAAAIdmr0XtThh+tHhztu1+/fVRhY8sMPItXVe/z5moydkv/WW/phi4qSmEHHS8zgwbpOtyMlxSe/A2BFBIAA/I7b7ZbqrVuldNmy2seKleIqLt6r0C9u2OkSN+w0Ce/Xj6kEAAAAgA+FhIfXTRF2FhVJ8dKlUvzpZy0OA91lZVL8xRL9UMIH9JeY44+X6OOPl8iBA/XxAbQMASAAv1CTny9lK1dK6Q+1oV/1jh17dRwd+p02TOJOH0boBwAAAPgJe1ycJIwYoR91YaBavG/ZshaFgUrlrxv0I/fFl3Q976iBAyX6+ON0IKhv+IeEtPvvAQQqAkAApqjJy5OyVaukfPVqKftxlVRs2LDHVcOaEjFggJ4WEHvKPyS8f39G+gEAAAABFAaqacKq3E/pd9+Jq7S0RcdwV1bWzRgSmSn2pCSJOvLI2sdRR9YuJmK3t/vvAgQKAkAAPlG9a5cO+lTopx5Vmzbt9bHU3T61aq+uBTJksIR26NCmfQUAAADguzBQ1elWD3dVlV7kz7PgX/W2bS0+jjMvT4o//1w/lJDYWIk64ggdBqpQUA0asLGgCIIYASCANueqqJCKXzdI+dq1Ur5urf6qivnuC0enThJzwgkSM2SIRB93rIRERrZZfwEAAACYTwV06ka/erhvv12qNm/WowNLvv5Gyn7+WaSmpsXHUjXES775Rj/0sSMiJOLAAyXykEMk8tBDJfLQQ8TRsSOzhxA0CAAB7BO30ylVW7ZIxfr1Uv6zCvzWScVvv7XqH2dvQqKjJeqYY3Q9D/UI69WTf5wBAACAIFpNOHy//fQj+aqrxFlSKmU//ldKly3X035bO6PIXVGhyw+ph4cjLU0HgSoQjDj4EIno30+PSASsiAAQQIu5Kiul8o8/pWLDr7pmnyrAW/HHH+IuL2+Dq5FDIg8+uDbwG3S8fm4LDeWvAwAAAEDsMdESO2SIfnhKDJUuX1FbB3D5cnHm5LT6LNVkZTVYZVgJ7dpVIvr3l4gB/XV98Yj+A8SRlspgBAQ8AkAATS7SUfnnRqn8bYOezqsDP3WXzelskzOm6vipO22eIr3qeUhUFH8NAAAAAHsU2rGjJIwcoR9ut1vPStKLDKqa4z+ukuqMjL06i9Xbt+tH8Rdf1LXZk5NrQ0FPMHjAARLWrRsDFhBQCACBIKb+oXTm5krlxk1SuWmjVG7cKFX6+SZdRLctqSK8kYcdVhf4RRx0kIRQhBcAAABAW0wX7tVLPxJHjdJt1Tt26AVF9EKEq1freoJ7S31mKv3+e/2oExoq4T17SNj++0v4fvtLuPq6/34S1r07i43ALxEAAkFAraZVtWOHVKWnS3V6ulT+9Vdd2OcsKGj7FwwJ0XfF6hfYDevVS2whIW3/WgAAAADQSGiXLhKvHmedpb93FhZK+bpf6hYprFi7Trftterq2hlTf26U4vrtDoeE9exRGwrut59+Htajh4R27y6OxET+TjANASBgxZBv61ap2pKun1dt3Vo7/L2Npu56E9qju66NEXnQgbUFdA88kOm8AAAAAPyGPT5eYk48QT88s6HU4Ai1iGH52nVS8euvUvH77+IuK9u3F6qp0QMt1KO48TiJ+Hg9QlAFgrWP2ueEg/AFAkAgQLiqqqRm504d5qnh7Crsq8nI0F9VW82uTBGXq3074XDooe0N6l/06yf2mJj2fV0AAAAAaONpw2E9e+qHZ5Sg2+mUqvStetHDyt9+q6uF3lblkVyFhVLxyy/64a1kUmjnznrkon7o57u/79xZ7AkJLESCfUIACPhLuJeVJTWZmfpRrZ/Xfl+9O/RT28Xt9lmfVKFbNWRdB367V8AK79OHun0AAAAALMlmt0t47176IWecUTdSUH0W0yME1cKIv/2ua6ar2VZqtF9bcRUXS+Xvv+uHN2rBRBUIOlQw2KGjODqkSWiHDuJQjzT1SCUkRLMIAIF25Kqs1AVja3LzpCY3Z3fIlyU1WZlSrcM+9TxLnPn5pv0d7KkpDYrW6joV++9PfQoAAAAAQU+NFFRBm3rEDhnSsATT1q21Cypu3KgXVdQLKm7ZousDtjVXWVldzcGm2MLDxZGWVhsO6lBQPVd9TxN7Soo41CMpSU9FVr8XggsBINAK7poacRYV1a4oVVEhNTrcyxWnDvhyxZmXKzU5uVKTV9vmKinxi/Or/iHQtSZ61taXUHUmdODXu7e+SwQAAAAAaMVnrLCw3YMo9heR0+ra3dXVUrVtmw7qqrZskaqttbXZq9O3Sk12drueYndlpVRv26Yf5c3t6HDoIFDN+nLoR5LYk5LFkZJc+1V9n5wsNWHh4rLbxRYZSWBoAUETANbU1MiKFStk69atUlFRIWlpaXLMMcdIamqqXx0Tvg3ynAWFehVcZ6F6FOqaDDUFBfrr39sK6x5qWLa/UhflsK5dG4R8YT166sKy6s4PK/ACAAAAQDt/LgsN1QMt1KMxV2mpHjWo6gzWLtjou3CwgZqa2tlpWVlSuYddd+3+nUIS4sWRkKBHD9rjE8SesPur/j5eDyypbfv7e4JD/xIUAeCmTZtk+vTpkqVqqNUzZ84cGTlypFxyySVit9tNPyb2zO1yiausXFxlpeIqUY9iPcrOWVzS8HlxsThL1Vdvz0v3fWUnE4RER9crBlu/MGwXCe3ahXoPAAAAAODnn+k8Cyp6Kx+lFn3UizzuXuixekftApC6Jnxmpk9rwtenRjU6s3P0o1UcDr1gZIh6xMbWex4j9pjYv5/HxkpIdL3nMWp7jD5ftqgoHUAyZXnfWT4AzMzMlLvvvluKi4slJSVFhgwZIrGxsfLnn3/KDz/8IAsXLhSHwyEXX3yxqccMFqXLl4uzqFjXL1Ahnru8fPdzz9cycek2FdI1bisTd0WFWJG6ixK6uz6DqtegRuzpgq5pHSS0Ywcd8oXExXHRAwAAAAALClFlm3avSuyNqjmo6sirULAme/eCkbsXjtTPVVtWdpsuTLLP1Mw7NauuoGDfjuNw6EVQQiIjG3y1Ramv0Q23RXm2qTb1fZRe1DK0Y0cJdpYPAOfNm6eDus6dO8ujjz6qgzqPAw88UJ5//nlZsGCBnHLKKdKxhf9BtMcxg8WOW24VZ04r7xoEKptN7ImJu+sn1BZbdaSm1K7QtLsQqy7KmpamL1YAAAAAAHj9eBkWJmHduulHczPmnHl59RaczNTTfNX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"text/plain": [ - "" + "" ] }, "execution_count": 3, @@ -137,7 +137,7 @@ }, { "cell_type": "markdown", - "id": "e7c60720", + "id": "b0bc2c33", "metadata": {}, "source": [ "Supported distributions: `\"t\"`, `\"z\"`, `\"F\"` (pass `df=(df1, df2)`), and\n", @@ -152,7 +152,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "5b06f857", + "id": "b44dc861", "metadata": {}, "outputs": [ { @@ -160,7 +160,7 @@ "image/png": 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d0UlLzKSyhUs3yA0euv8mSPk87QyYCSaY3wzJmXYpYE585SysnK2XdTLJl4DktiKTJFUSoyREnh4ealfpv0demFD8JUlL+yFXO0MqZ3blTcctva5QdclMkqsH77tRPQ7+0c6cyrryJvm4O0o7W2cuV7tmMIY+cIv5brm3cgZd3nRJch2i9V3joi9CynPAzeQGeSMpH4UvWrYeJq0fpMLI07FyUzxJMvWg1heenoUu0oaBd/VW23fuPaJuqzKTs8ayv5xxltuypqpaSL3yhqLnVZ0gMTSqXxte2tlTWV/a1OXS1uipvQkwb5PnmniKT0x8onm1TW7lTZ9ULG9U5fkhy/Ice2zQbbKIFdonPmqhaHZ11w6QT0LMZeV1VPpNPmkoKsIbClDACQXYJPsJOF3CK6Hfdcs1WP3Tx+os6LsvP4z7tTN9ckZJPva8//F31B9pKVeRyV87qyrl8/Lz5aZ4krOtckcSHrmt6pSnJWcy3JIMqSZnC+XSilETv4V8HCp1m7+1XpPN+wAAEABJREFULsuWTpGnChOQVi0aXrCL+XrmU1FxF2wruSKwmr+6Kx+jqwVtNvunP/Cpdiay5PT39j3alrP/JUmSM8QyyZlyOUu4UDtTKf0x9pM5kFE1pLSlcV9/9WVSHF/M+hXdtLPFI0ZNwQ+/rFLXVqsN2uzwsVPaHJDrSjv0egjmSS4HkA3RRUNwHSk6Eylf8pP1VZleePx+SIwyydnif5Z9qb4sKddmysggUrel/RBdlKC2KeVLUGHNGkhVkKGo1EIZM0lW+t5wpbp84Kb+L6lrzeXyhr3nXW9exu7Fq/18fYuXSy4s1xKma/s9A3kjKW9e5GP+FdqbMymTX1A4coUslzWZ33hFxcaXVcTi9adjCutoWK92qfv4+frAOhY+F01wSz34eStbNC3sv5iiPj5vs9XuHtQ+0ZLnnnxvoWSl5uvnj0ZeeBa+ZDmTyQTZX954l1zPZQpQgAKuKuCUCa90hru7mzpDKyMVvPHcICz7bkLx6AArKzEgvJv2B0DqPX9yd3M7f1WV7n8+Y5EabknO7slHjD9Newdrfv4YJc/0VfQAmdnZahfzmUd1p2jmWfTFMflST9GqUm/c3S6MUz5u//7zN1FyuufWHqXuX3JlmPZHf+gDfdWq1UVfrLM07vBmDfDn9xNxx41Xqf2Xrd4MGfqr9/3Pw3y9o1xGIRvffuFBlDbdekM32YyklMLrX5s2qqPuW3MmZ4mffPAOdQmCnHGWhN7SfjAnGaX1l0dRf2VpnwCU194xrwzFG88NUp9IyLXm8gU2+eKSXNtc3r4X2y7XgQ9/41M1zN9LT/4P8lG9XCrx+rMDL7bbOdvMSbF70Rn7czZW8M7Ook9t5KxzWbvayqKs45W33mQylVekSttTUjNgPqNesiLzuvKe7yX34TIFKEABCgAXZkEOVsnVPg4urQnyQm9OGveXca1faftVdl1lz/iaP4qc9dlI9RFjqxaNIGdpzInO+e3JKyPekuUa1Kml7pZ2VtB8dqxO7RqqTEVmkri2b90MJaeS1+VerC4P7Q2JbJcv58ltReKWERAkgdn8++fqrKq8qZEk99c/N0pVaNm88Ez2zb2uwN19r71gko/npaC5rbYag9ZkMslh1CUIBSiApf0gXy6THUu7vjUqJkE2oV6dc/urtMeBh5ZMyqcb8jG8XEc6adQT6qydjLiQlJKm6jHP8rRPFszL5d2uLfoFukmjnsTge/qoy2LkI35J8svb17zdHFtZZ2XN5cq7lS+nHtLO6MvlAvKRfVnlbWVR1vHKWm/+JMV8vXnRQ0R785BV1i4XrLekr2S862jtLLJcRlSyAvPjp6ruJevkMgV0I8CGUqAKAk6X8F5317NqmKDSvhQi1xpKrPItZLm11VQ3tIb6KFn+4JiPIR/dy/WO5vtl3cpQVLKt5Bllub72yIlzP4KUBF7KWXKNnflj8B9+XYWSfwCjtI/2l63eArm8oFaNIKnOLpOMIjF34Qp1rLYtm6pbS+NepyVbsr/sZDKZIGfC5XpjuX+gaLQJGd1C7k+duUhuzpkk4TB/rC8Ju2z89bxfxJLREGR9VSe5xlne+MgPoEjCZWk/SOImZyvlcghJ5sztyNXe3MjlG3LffClKYDU/uYuS11bLCnkDsO7vnbKoJvlYv0+Py9Gx6DpncZANwYEBcoOoossC1J1yZuYvaHp6Fl5PLcWlbWZXuX+xSUYzmPHDUlWkfavC/ld3KjCTx7Eku3IphcT2zksPlbm3LS3KPGgpGyTJl+ebXAcdElz4IxXyZlaK7tp/dqQYGWXk76IRR2SbeapIX3Xu0FLtJl8MVAtFs59+W6OWOrRurm45owAFKEABywScLuGVP27yJbW+g15RY4bKuJMy/qqMRSlD9MgfG0s+drcs/NJLmccAfuzlDyDDZck1uNfd/awazaH0Pc6ulS+PyD0ZR1T2lfE/bxnwMuQjaVlfcpJhtOSLeTLUkYzg8MHUH0puLl6WP6qPDrxVfXFtyLPj1LBW8g1++bUzKfSy9rG0yVR4NlLuW3OS/pBrdWWSdso4sN1vf0pZyBl3+XKMHM/SuBct24Ab7n9Bjb4hY5zOW7QS73w4U6pA/343qNuH7r9ZnckUP3H84dfVmPPzcsjjQvbdtrPwC4Y3XNtZlZMk8oV3PsdXcxZD2ifXpKqKKjCTb8VLjPJYk2HO5PH2ZtGwWyOHD1A1VaQfnht2j9pHhpaSvpXEZdgLE5WbnLU1n6GTL05JwidDrn2uJfjyRUApn3gmGfL4k3FV5VKGZas3Q0akkOtsJQFv2byRql8+QZAFeZzJc0XGXpVLFmRdWVOXSwqTqbcmfIPPvl6gLsG555G3lHFp+0jSL67fzluqvuR419A31WNRfgGxVo3g0na5YN3WHfshtjL+rcR11e1Pq+HBpOCXE56H+Ytrcv/8yZYW5x+r5P112pszeU5K38lrz9nn2wPFxcKbN1SXvcjjWIYMkz584Ml3VazFhYoWKtJXQ+67Ue0l4yZP+XahGhpOLv2R54G8SbypV1e1nTMKUIACFLBMwOkS3vdeewTyTWhJBCWpkz8ikgzI/Qfu7IWZn7wGfz+fc6KTb5ubV7gVXatqMpnMq9StyVR4v2TZog3qpuRMvoHevUs7lZzIDyL8uHi1loxdD1kn5QprkqXCqWSdrzz1gBrOSn4uVfaVLzxdeVlbmBNDk+ns3q9qZfv06IKff1+L0VrSJ4mO1GgyFZYxmQpvZd0TQ+7Akw/eqRJnGTdY/hDKdX5ynXAf7cyflJGprPhlm0zm7bJs6SRJmEzSTknc5eNnOe5Yra/MdVgat4yWIWfHZPQNGeNUkt2DR05CfsntisvaqOrki4Q/TRuNvjdcqYYne/uDbzH2k9nqzL84ms8qyhBz0z54SZ3hXrLyb5UQyigT5l/wMpnO+qmKS5sVlfl7+14t4fsT8lj7bcVf8HB3xz19e0CGrjMnKrK7pf0gj5WP3nlK+6g7R/WtJOtyDBntQN6gSF0ySbIrQ5aJqSSfYz+ZAxkztkb1IDVknuzz/uS5GDFqikro5U3S2FeHws2tMDYZ2UKGDJPrheW5IsP5RUbFwmQq3C7HOH+6q++1kGuoZbQBSdDkS5Y+Pt7F18iXtuuJkzGQH/SQLzjKmyA55qMDbju/6gvum+uSY4ntwqXr1fOqpZYoPvPwXVjx4yRI7BfsqK0wP6+qaqFVddH/5jaanxsmU6Gdj7enGkpQ+k4SX4l7/MhHIaOjmCsMquYP6Q+5L284pA9lnF1zH5tMhXXJ9rL6SrbJZI5XlmtUD8SCr9+FXPM+WUt4pf/ljZ28Nn794cvq8SnlTKaz9cv9kpO7uxvkcQH+c1EBhk0BCpQUcLqE97be3TF1/PPYsWK6GkNWrl+UMW13rvwGI4cPVNfDmgPw9fHC7tXfQhIL8zpJNGSdjF9pXie38kdK1ssIEHLfPPXs3lHVIdeRmtdJwvXF+89j+bwP8NO0dyDf2H/tmQGQsUuljmoBfqpoaceXayHnfv6mGvtX2r7xl8mQL4fJHynZNyjQX+0rs+ZN6qtxaDctngIZGWDjL5/JakjiJ2UlwVcrtJkkYE8Mvh3//jkNv3w7RtX/l7afDEWkbS7+X1b80i6p860Rg4vLlrcg143KPiWndWos15GQ40qbzHVI/ZbELfupWH+drP6g//H9RGzUls1nd0vWJ8mFPA4k6ZQRIqQfxLFDieHWJHGScXxlu4xRLCbyC17SZhnhw1xfWbf33tpD9b+ULznJaA2jXhgC85lY8/4SsyX9IOVvuKYzZFxUGe9Vkpdtf3wFSRTPHwpLHpvmL47JY32cllQFBwWox4bEL0ayvzjJWMPnt0mSaDGSaf2iT1WiLm8KJZ5Jo56QppwzSQxyDbV8UU3Gg5akc+6UNyCPDdnnum4dzykvSbl4SN3SdxKTHNOcdJ9T+Lw78hiXOktOEqPEK59amK/DLrnb+c+rqlpI3TJ+sDyeZfn8Sd5ISvvksSTbzHbyWJeYZVQSec5JX8ibMClTcpJ+3rLkC/w8fbR6zRAjGXdX6jSf6TeXFzfpJ5mkbnlTdX685rKS7Eq/y5de5bVEXifktVE+aTCXMbe1tH6W54S0xVyWtxSgAAVcWcDpEl5zZ8gfZbk2tXVYY8itJX9czfta49ZkMkGu5ZWzexX5Mo8cW9oql15I20smuLKttClQS6BlHFlPz8JxTksrY14nZSSJkPrlDI55fWVurb1PReKWM2PyB13GpjWPNFFae+RxIAmexFtWP5iP27RRXdjLxNJ+kLbJZQsSq5yRLi1G8zp503D+Y13iFyPZX8zMZc+/NZlMKjmX8Z7P31bWfTle25ZNUFrSWdo+Urc8TiWm0rbbep0tLcpqu/SZXCsuzzk5flnl/Hy91Zct5TWjrDLm9SZTxfpKElx5LZHXCXMdvKUABShAgYoJOG3CW7EwWJoCFKAABShQaQHuSAEKGFyACa/BO5jhUaAqAo8Oug1vPjeoKlVwXwpQgAIUoIDDBZjwWtoFLEcBFxSQa9zlumsXDJ0hU4ACFKCAgQSY8BqoMxkKBShAAXsI8BgUoAAF9CbAhFdvPcb2UoACFKAABShAAQpUSMBGCW+F2sDCFKAABShAAQpQgAIUsJkAE16b0bJiClCAAgCIQAEKUIACDhdgwuvwLmADKEABClCAAhSggPEFHBkhE15H6vPYFKAABShAAQpQgAI2F2DCa3NiHoACFLBcgCUpQAEKUIAC1hdgwmt9U9ZIAQpQgAIUoAAFqibAva0qwITXqpysjAIUoAAFKEABClDA2QSY8Dpbj7A9FLBcgCUpQAEKUIACFLBAgAmvBUgsQgEKUIACFKCAMwuwbRS4uAAT3ov7cCsFKEABClCAAhSggM4FmPDqvAPZfMsFWJICFKAABShAAdcUYMLrmv3OqClAAQpQwHUFGDkFXE6ACa/LdTkDpgAFKEABClCAAq4lwITXtfrb8mhZkgIUoAAFKEABChhEgAmvQTqSYVCAAhSggG0EWCsFKKB/ASa8+u9DRkABClCAAhSgAAUocBEBJrwXwbF8E0tSgAIUoAAFKEABCjirABNeZ+0ZtosCFKCAHgXYZgpQgAJOKMCE1wk7hU2iAAUoQAEKUIACFLCegCMSXuu1njVRgAIUoAAFKEABClCgHAEmvOUAcTMFKEAB2wmwZgpQgAIUsIcAE157KPMYFKAABShAAQpQgAJlC9h4CxNeGwOzegpQgAIUoAAFKEABxwow4XWsP49OAQpYLsCSFKAABShAgUoJMOGtFBt3ogAFKEABClCAAo4S4HErKsCEt6JiLE8BClCAAhSgAAUooCsBJry66i42lgKWC7AkBShAAQpQgAKFAkx4Cx04pwAFKEABClDAmAKMigJgwssHAQUoQAEKUIACFKCAoQWY8Bq6exmcxQIsSAEKUIACFKCAYQWY8Bq2axkYBShAAQpQoOIC3IMCRhRgwmvEXmVMFMfXcjQAABAASURBVKAABShAAQpQgALFAkx4iym4YLkAS1KAAhSgAAUoQAH9CDDh1U9fsaUUoAAFKOBsAmwPBSigCwEmvLroJjaSAhSgAAUoQAEKUKCyAkx4Kytn+X4sSQEKUIACFKAABSjgQAEmvA7E56EpQAEKuJYAo6UABSjgGAEmvI5x51EpQAEKUIACFKAABewk4HQJr53i5mEoQAEKUIACFKAABVxEgAmvi3Q0w6QABXQnwAZTgAIUoICVBJjwWgmS1VCAAhSgAAUoQAEK2EKg6nUy4a26IWugAAUoQAEKUIACFHBiASa8Ttw5bBoFKGC5AEtSgAIUoAAFyhJgwluWDNdTgAIUoAAFKEAB/QmwxaUIMOEtBYWrKEABClCAAhSgAAWMI8CE1zh9yUgoYLkAS1KAAhSgAAVcSIAJrwt1NkOlAAUoQAEKUOBcAd5zDQEmvK7Rz4ySAhSgAAUoQAEKuKwAE16X7XoGbrkAS1KAAhSgAAUooGcBJrx67j22nQIUoAAFKGBPAR6LAjoVYMKr045jsylAAQpQgAIUoAAFLBNgwmuZE0tZLsCSFKAABShAAQpQwKkEmPA6VXewMRSgAAUoYBwBRkIBCjiLABNeZ+kJtoMCFKAABShAAQpQwCYCTHhtwmp5pSxJAQpQgAIUoAAFKGBbASa8tvVl7RSgAAUoYJkAS1GAAhSwmQATXpvRsmIKUIACFKAABShAAWcQ0FfC6wxibAMFKEABClCAAhSggK4EmPDqqrvYWApQ4HyBlGV/4PRbb+HY4CE4NnBQqdOpl15GyooV5++q6/tsPAUoQAEKWC7AhNdyK5akAAWcRCArIgLR48Yj4spuiBw+HGfm/YD0v/9G+pYtpU5Jv/yCyCefwr6OnXDqxZeQsnw5+I8CFKAABQwhYFEQTHgtYmIhClDAGQTO/PQzjvS7C4dvux0J336LvMREeNavj5qPDkPDzz9H4xkzLpgaTZ+GGg89CI/QUBRkZCDp118R+dTTKllOmDUb/EcBClCAAsYXYMJr/D5mhBTQvUDm3r04dPMtOD1yJDL37IFH7doIGTwYTeZ9jxYrlqPWc88h4Loe8Ot6+QWTf/fuqP3SSwhbsxqN58xG9QH94V6zpkqWo8eMwdF770P2sWO6N2IAFKAABShQtgAT3rJtuIUCFHACgQTtrO2RO/sh+/BheDZogIZTJiNs7RqEvvoKfC+5pEIt9LvsMtR5/XWEr1+Heu+Ph3twMDL++0+dMU787rsK1cXCFKAABfQo4KptZsLrqj3PuCng5AJ5SUk4/vDDiH5vHODpqRLcFsv/REDPnlZpedBtt6HZb4vhd8UVKMjKQtQ7o3FsyIPIjY21Sv2shAIUoAAFnEfAzXmawpZQgALOIeD4VqT/8w8O9+2LtA0b4Vm/Hpr++IO6hMHaLfOoUQONv/1GnfU1eXkh/a+/1KUTyX/8ae1DsT4KUIACFHCgABNeB+Lz0BSgwIUCsR99hGP9B2hnWuNQrXdvNFu0CD6tWl1Y0Ipr5LreZgsXwFs7Tn5KCk4+8wxOj3zdikdgVRSggC4F2GjDCDDhNUxXMhAK6FtARlA4MexRxE39QgVS56230OCTj+EWEKDu23rm1awZJOmtMfRhdagzP/2EyKefUcucUYACFKCAvgWY8Oq7/9h6xwuwBVYSOP7IMKSuXQu3oCA0W7QQ1f93v5Vqrlg1tV94QY3+4Obvh5Q//8Spl1+pWAUsTQEKUIACTifAhNfpuoQNooDrCZx8bgTSt26FR506aDJrFrxbtnQogoz+0OCzz1QbkhYtggxfpu5wRgEKXESAmyjgvAJMeJ23b9gyCriEgIzCkLxkCdwCA9U4ud7hYU4Rt/+VV6LhF1MBNzfID1TETZniFO1iIyhAAQpQoOICTHgrbsY9qiDAXSlQUiBBO5sr4+yaPD215PILeNWvX3Kzw5cDrr0W9SdOAEwmxH7yKRK//x78RwEKUIAC+hNgwqu/PmOLKWAIAbk+NnrMWBVLvYkT4dfxUrXsbLPAm29GvXHvqWZFjXobycv+UMucUaCKAtydAhSwowATXjti81AUoEChQMa//yJyxPPqTq3hzyCwT2+17KyzoNtvR+jrhcOUnRwxAqnrNzhrU9kuClCAAhQoRYAJbykoTrOKDaGAAQWyDx2CjMiAnBwE3toXNR9/XBdRhgzoj1rPPA3k5eHE0KHI3L1bF+1mIylAAQpQAGDCy0cBBShgN4HcmFiV7MqPO/hdfjnqT5hgt2Nb40A1n3gCIYMGqqoinxmO/NRUtcyZ7QV4BApQgAJVEWDCWxU97ksBClgskJ+WjuPamdGcU6fg2agRGn76icX7OlPB0Ndeg3yZLefkSZx65VVnahrbQgEKUIACZQgYKOEtI0KupgAFnELg9Ki3kBURAflhicZfT1e3TtGwSjSi/qRJ8KhdGynLl0N+ka0SVXAXClCAAhSwowATXjti81AUcFWB1JWrkPzrYpi8vdF42lfwbNBA1xTyK2z13x+vYoh6dwxyTpxQy04zY0MoQAEKUOAcASa853Bc/E5OTi5ORsUhOzvn4gW5lQIUKBbIT0vD6bfeUvfrvfsufNq3V8t6n/ldcQWq9++PgowMnHzxJb2Hw/ZTgAIUMKSAOSgmvGaJi9weOX4aA58ei0tvGIre97+An5esu0hpbqIABUoKRI9/H7mxsfDvdqUalaHkNr0v137pRXg2bAgZZi1u8mS9h8P2U4ACFDCsABPecro2OjYRfQe9itBa1THr09ewdemX6NOjSzl7cTMFKCAC6Vu24MwPP6hLGeq+956scsKp8k1y8/ZG/Q8/hPolts8mI2P3HvAfBShAAQo4nwAT3nL6ZMYPSxESXA3jRg5Dp/bh8PXxQvWgauXsxc0UoEBBdjZOvfKKgqj9/PPwDA1Vy0ab+bZrixpDhwIFBTg5fDjys7KMFiLjoQAFXEXAwHEy4S2nc9dv3ol6oTXxwtuf475H38aoid8iKjahnL24mQIUiP30M+ScPAXv1q1RfeAAQ4PUevopeDVtipzISESPGWvoWBkcBShAAT0KMOEtp9cOHTsFfz8f9LqqEx76303Ytf8IHnpuPOQLbLJrYmo2ONHAhR4DFj3eY3bsQfz06YC7OwJGvYszaTkW7adXxzPZQLWx76t45RKOqOWrDR2vXvuJ7eZrtZ4fA5JzcKq8ABNeC+z697sBt/buhj49LseENx7DschoHD5+Wu1ZzdcTnGjAx8DZx0CAlxtS3xoJ5Ocj5JFhCGnX2iWeIyEd2qLGk0+p14XkN16Db0aKS8TNx/7Zxz4tXM3CvvGqFxfOKi3AhLccutZhjXH8ZHRxqXztj7jcyc7JlRt4uJs40YCPgRKPgeSZM5C1bx88GzdG7ScecymbWo8Ng0/bNshLTETMKy+5VOx8LeTfAj4GbPsYUEkHZ5UWYMJbDt3Nvbri6+9/V+PvJqWkYdb8P9WX2Fo0qV/OntxMAcDVDOQHGGI/+USFXX/cOJi8vNSyq8xMbm6QX2GTeNM2bETSgoWyyIkCFKAABRwswIS3nA4Y0O8GdO3UBjL+brdbn8Tav3dg8thn1WgN5ezKzRRwOYFTr78OGZ2h+gMPwLfjpS4XvwTspZ3ZDn258Icooj/4QP0whaznRAEXF2D4FHCoABPecvi9vDwx8c3HsWnxFCyf9wFW/DAJHdo0L2cvbqaA6wmc+eknpP+9GR61a0OGIXM9gbMRhzz4ILxbtkReXBxi+YMUZ2G4RAEKUMBBAkx4LYQPDPBD3dAaMJlMFu7BYhUW4A66FZBfUoseN161v+67o+Hm76eWXXlWb+wYFX78tOmQ4dnUHc4oQAEKUMAhAkx4HcLOg1LAWAJRo99FfkoKqt3YBwHXXGOs4CoZjU/btgjse4vaO+bDSeqWMwpYKsByFKCAdQWY8FrXk7VRwOUEUlatRsoff8AtIAB1Xn8d/HdWoPaLLwIeHkhe/Bt/dvgsC5coQAEK2F3Aze5H5AGtJMBqKOB4gYKsLESNGqUaEvrqq/CoWVMtc1Yo4BkaihqDB6k7MePGqVvOKEABClDA/gJMeO1vziNSwDACcV98idzoaHi3aoWgfncaJi5rBlLj8cfh5u+P9C1bkLpylTWrZl1mAd5SgAIUKEeACW85QNxMAQqULiBfVIufNk1trPvWW/xCp5K4cOYeEIBazzytNkRPnKhuOaMABShAAfsKuErCa19VHo0CLiAQ9/lUNeZutV69XHbMXUu7OWTwYHjWr4/sw4dxZt4Plu7GchSgAAUoYCUBJrxWgmQ1FDCCQG5uLtauXYvly5dfdFr1449ImDdPhXzw8i4XLVteXY7Yvm7dOkisKgA7zWo/P0IdKebjj5GfkaGWHTPjUSlAAQq4ngATXtfrc0ZMgTIFCgoKsHnzZqxfv/6iU/rX38CUl4cTDRti9ZEjFy1bXl2O2C4xSqxlQthgQ+DNN8OnTWvkJSQg/suvbHAEVkkBClCAAmUJlJrwllWY6ylAAQr4p6aiydGjKNAodlzSQZvzv6UCoW+8oYrGT5+O3Ph4tcwZBShAAQrYXoAJr+2NeQQKGEqg3c5dcNPOBB9t2hRpAQGGiq2UYKy6yq9jRwT07ImC7GzETuKPUVgVl5VRgAIUuIgAE96L4HATBShwroCc3W187BjyTSbsbN/u3I28Z5GA+jEKNzec+XkBsg4csGgfFqIABSjgeAF9t4AJr777j62ngF0FLtnxH0zaEQ83b44MPz9tif8rKuDdtAmq33cvoJ0lj37//YruzvIUoAAFKFAJASa8lUDjLhRwRYFqycloeOIE8rSzk7vatS2VgCstE6g1fDhMvr5IW7ceaZs3W7YTS1GAAhSgQKUFmPBWmo47UsC1BDr8u0MFfDA8DFk+PmqZs8oJuAcHo+awR9TOUe+MRkF+vlrmjAIUMIwAA3EyASa8TtYhbA4FnFGgekICGpw6hRwPD+xp3doZm6i7NtV48EF41KqF7IMHkfzLL7prPxtMAQpQQE8CTHj11Ftsq7EEdBRN+527VGsjWrZEtre3WuasagIm7Sx5rWefVZXEfPSxuuWMAhSgAAVsI8CE1zaurJUChhEIiY9H3dOnke3pib2tWxkmLmcIJOiO2+HZoAFyo6KQOGeOMzSJbaCAQwR4UArYWoAJr62FWT8FdC7QYcd/KgJJdvM8PNQyZ9YRMLm7o/bw4aqy2MlT1C1nFKAABShgfQEmvNY3ZY02EWCljhCoHR2D0JgYZHp740B4uCOaYPhjBt7aF56NGiEvIQFnfvzR8PEyQApQgAKOEGDC6wh1HpMCOhHosKNwZIY9bdqAZ3dt12k1HnpIVR43dSpHbFASnF1UgBspQIEKCzDhrTAZd6CAawjIdbs1tLOO6b6+OBjWwpBB5+TkYNOmTVi7dq1Dp521ayE/IAA5J09h80cfW70tf/31FyRWQ3Yig6IABShggQATXguQdFiETaZdzks3AAAQAElEQVRAlQXMZ3d3t22DAjfjvlRs2LABK1eudOykJdw7mzZVfVYw73urt0ViVJVzRgEKUMBFBYz7V8xFO5RhU8AaAvUiIxF8Jgmp/v440qyZNapkHeUIyA96yDjHQUnJqB0VVU5pbrZcgCUpQAEKAEx4+SigAAUuELikaGSGne3bGfrs7gWBO3BFrqcnDrVorlrQeu8+dcsZBShAAQpYR4AJLwDrULIWChhDIPToUQSmpCApKAjHmzQxRlA6iWJ/eEvV0jrR0QhOTFTLnFGAAhSgQNUFmPBW3ZA1UMBQAmHb/1Xx7GtVmHypO5zZRSDTzxeHi67lbb1nr12Oed5BeJcCFKCAIQWY8BqyWxkUBSonkPH33wiKj0eGjw+ONW5cuUq4V5UE9rZujQKthoYnTsAvLU1b4n8KUIACFKiqQMUT3qoekftTgAJOK3Bm9mzVtn2tW/HaXSVh/1lqYDVENmgAk3bo1nt5lldj4H8KUIACVRZgwltlQlZAAWMIZGtnFNNWr0GeuzsOc2QGizrVVoX2tmmtqm56+Ai8MzPVMmcUoAAFKFB5ASa8lbfjnhQwlEDCjBkqnsjwcMiIAeoOZw4RSAwJQUzt2nDPz0f4/giHtIEHpQAFKFABAacvyoTX6buIDaSA7QXyMzJwZv5P6kCH2rdTt5w5VmBvq1aqAWEHDsAjJ0ctc0YBClCAApUTYMJbOTfuRQFDCZz58UcUaB+d+3XrhozAQNvExlorJBBVry6SggLhmZuL5gcPVWhfFqYABShAgXMFmPCe68F7FHA5gYKCAiTMnKXiDnrgf+qWM+cQ2NO6jWpIq337YMrPV8ucUYAC+hdgBPYXYMJbjvmKddvQtseQC6asbH7EWA4dN+tEQL6olhMZCc8GDeB3zTU6abVrNPN440ZI8/eDT1YWmhw54hpBM0oKUIACNhBgwlsOagEK4Ofrg99njz9n8vL0KGdPbqZAVQTst2/CrMKzuyGDBsJkksGw7HdsHqkcAa0/9hVdy9taO8sL7Wx8OXtwMwUoQAEKlCLAhLcUlPNX+Xh7onGD0HMmk4mJwflOvK8/gaxDh5C2cSNMPj4I6tdPfwG4QItliLhMb29US0lFfe1MvAuEzBApcK4A71HACgJMeC1ATDiTgtfe+wpvT5qB31b8hdy8PAv2YhEKOL9AYtHZ3eC774J7QIDzN9gFW5jv7o4D4WEq8jZ7+EMUCoIzClCAAhUUYMJbDlhorRA8eP9NaNqorir50uipGP/Zd2pZZvHJWeDkcAP2gSWPwyStn0pMsafikbhgkTyM4dbvf4jXtrnSJ+byZT29xHsgLAy5WuIbkpiI2tExqs8qOpN4pY85nfs8oMdFPCx5XWEZu/39qehznuXPFWDCe67HBffat2qKFx67D4/074u3RgzG6JcewncLVhSf5a0e4AVONNDFYyBQ66cSk+n3hUBWJvyvvho1WzdDdW2bK12pYzKZoP2/4DnvjCtyvLxwqEUL1bRW+yp3ltdkMqk+ln7mdO5zwVgeVoyNf9+c6u+7egHgrNICTHgrSFerRnW1R25unrp1czOBEw108RjQEh63osmkndo0X85QY9BAmNeD/5xWYF+rlsjX+q/u6SgEnkmqVDvN/cxbU/FjnhYXsXDTtnFymr/x4L8qCTDhLYdPzub+818EMjKzERWbgC9n/4quHVvDx9urnD2ddzNbRoHUFdqnFNHRhUORXXUVQXQgkOnri2NNmqiWttmzR91yRgEKUIAClgkw4S3HKSomHoOeGYvONw5Dr3tGQK6De+elh8rZi5sp4NwC5h+aqDFkiPaxvsm5G8vWFQvsad0aBdq9RsePwy8tTVvi/yoKcHcKUMBFBJjwltPRIx69F/8s+xJLv3sfGxZ9htmfjUSDurXK2YubKeC8AjIUWfqWLXDz90fQXf2ct6Fs2QUCqYHVcLJePchblFb791+wnSsoQAEKUKB0ASa8pbucXastyeULDevVRnBQgHaP/ymgb4GEr79WAQRrya6b9jG5usOZbgT2tGur2tr00GG45+aqZc4oQAEKUODiAkx4L+7DrRQwlEDemTNI+uVXFVP1gQPVLWf6EkgMCUFszRrwyMtDs8NH7Np4HowCFKCAXgWY8Oq159huClRCIHHeDyjIyUFAjx7watiwEjVwF2cQ2NeqtWpG2IED6pYzClCAAhS4uICVE96LH4xbKUABxwkU5OcjYeZM1YCQAQPULWf6FDhVvx7SfX1RLSUFdU6d1mcQbDUFKEABOwow4bUjNg9FAUcKpCxdirz4eDUUmf9V3R3ZFNc4ti2jNJkQ0TJcHSHs4EF1yxkFKEABCpQtwIS3bBtuoYChBBJmzVLx1HjoQXXLmb4FDjVvjjw3N9Q9dQq+6en6DoatpwAFDC3gDMEx4XWGXmAbKGBjgcy9e5Gx/d/CocjuvNPGR2P19hDI9fTE0SZN1BBlLSMi7HFIHoMCFKCAbgWY8Oq269hwClgukPDNt6pw8D33wDmHIlPN46yCAubLGpodPAS3vLwK7s3iFKAABVxHgAmv6/Q1I3VRgdy4OCT99puKPmTIYHXLmTEEkoOCEFuzJjxzc9H46FFjBMUoKODqAozfJgJMeG3Cykop4DwCZ76fB2hn/wJ6XgfPOnWcp2FsiVUEDoSHqXpa7udlDQqCMwpQgAKlCDDhLQWFqyjg5AIWN69AO/OXMHeuKh/CH5pQDkabRTZogExvbwQlJ6NmbCz4jwIUoAAFLhRgwnuhCddQwDACyb//roYi82rWDP5XXmmYuBjIWYECNzccDGuhVoRF8IcoFARnLiTAUClgmQATXsucWIoCuhSI//ob1e6QQYPULWfGFDjYogXyTSY0iIyEd2amMYNkVBSgAAWqIMCEtwp43FUfAq7aShmGLGvfvsKhyG6/zVUZXCLuLB8fnGjYEG4FBWhx4KBLxMwgKUABClREgAlvRbRYlgI6EjD/0ET1++7lUGQ66rfKNvVgWOGX11ocPAhTfn5lq+F+xhZgdBRwWQEmvC7b9QzcyAIyFFnysmWA9jF3dV7OAFf4F1erJpICA+GTlYWGJ064QsiMkQIUoIDFAkx4LaZykYIM0xACibNnq6HIqvXsyaHIDNGjlgWxv1VLVbDFAX55TUFwRgEKUKBIgAlvEQRvKGAUgfzsbCTM/V6FEzJooLrlzDUEjjVujBwPD9SKi0dgUpJrBG3DKFk1BShgHAEmvMbpS0ZCASWQ/Oti5GvJjgxF5te1q1rHmWsI5Lu741CL5irYVvv3q1vOKEABClAAYMJbpUcBd6aA8wnET5+uGlVjyGB1y5lrCUSEh6NAC7nR0WPwyMnRlvifAhSgAAWY8PIxQAEDCaRv2YLsw4fVUGSBd9xhoMgYiqUCGX5+OFWvLtzz89HcnkOUWdpAlqMABSjgAAEmvA5A5yEpYCuBhJmzVNXV/3c/3Ly81DJnridwMCxcBR0uX14rkPO96i5nFKAABVxWwJ4Jr8siM3AK2EMgJyoKKcuXQw1FNmAA+M91BaLqhCI1wB9+GRmod/KU60IwcgpQgAJFAkx4iyB4QwG9CyTO0s7uamfzqt1wA4cic/rOtHEDTSZEFJ3lDTt40MYHY/UUoAAFnF+ACa/z9xFbSIFyBfK1M3mJ389T5UIG8uyugnDx2ZFmTZHr7o5Q7cy/X3Kyi2swfApQwGkF7NQwJrx2guZhKGBLgaRFvyA/LQ1qKLIuXWx5KNatE4FcT08cbdoEJq29TXbt0ub8TwEKUMB1BZjwum7fM3IDCSTMnKmiqfHwQ+rWYDOGU0mBA2Fhas+G+/ZDPgVQdzijAAUo4IICTHhdsNMZsrEE0jZuLByKLCgIgbfeaqzgGE2VBJK1x0R07dpwz8tDyqJFVaqLO1OAAs4gwDZUVoAJb2XluB8FnEQgQb6sprWl+n33cSgyzYH/zxU4ENZCrUicUfgpgLrDGQUoQAEXE2DC62IdznCNJZB94gRSV60GTCaEDBoI+ceJAiUFTjZogAx/f+RGRiL9r79KbuIyBShAAZcRYMLrMl3NQI0okDhrtgqrWp/e8KhZUy1zRoFzBLQ3Q8dat1arEmbPUbecUcBFBBgmBYoFmPAWU3CBAvoSkC8hnfnpJ9XokIE8u6sgOCtV4ETrVoCnJ1JWrEDO6dOlluFKClCAAkYWcDNycIyNAuUK6LhA0k8/q6HIvFu1gt9ll+k4Ejbd1gI5Pj6oduONQEEBEud+b+vDsX4KUIACTifAhNfpuoQNciaBzMxMnNbOiJ08eRLONEVGRiJ6+jRF5XbrrVVum8QosaoKOTOkQHDRD5IkzpuH/OxsQ8bIoKomwL0pYGQBJrwV6N0Pv/wRbXsMQXJqegX2YlE9C7i7u2POnDn46quvnGpa/M47KDgdhSwvL8w8eqTKbfvuu+8gseq5r9j2iwt4t24Nn/btkZ+UhJTffr94YW6lAAUoYDABJrwWduiCJesw7bvfLCxt1GKMy1kEwiMiVFMOtWiOfC0pV3c4o0A5AiED+qsS8UU/VKLucEYBClDABQSY8FrQyVv+3Yexn8zBxDcft6A0i1DAtgL+qamoExWNfJMJEeHhtj0YazeUQOAtt8AtKAhZe/ciY8cOQ8Vm92B4QApQQFcCTHjL6a5jkdF44tWP8NE7TyGsaYNySnMzBWwv0Grffpi0w0Q2bIgsHx9tif8pYJmAycMDIfffpwoncogy5cAZBSjgGgJMeC/Sz0nJaRj24kQ8N+wedO/SrtSScUlZKGPiegPYFBSU2u0OW+mRk4MmR46o40eEhalba80KtGC1/9aqzunrccV45bWq4HYt4dU+HUj6/XfEHI/h65QBXqekXzkZ/2+x07+oOnkDmfBepIP+2rYbkadjceJUDN6fPBfT5hZew/vRV/Ox98AxtWfNIG9wMq6BlheofnaWWfNDh+CRl4fE4GDE17LuD02YTCZo/50lVJu3w2RyvXjltap2s3qodv31gPY4cvvtZzu9fhn3NUJMObF/7fEYsPmLosEPwIT3Ih3cokl9DB96F6oHBSBYmwID/FTp4EB/eHl6qGXOKGA3Ae30a/j+wi+r7W/Ja3ft5m7AA4UUfXktYfZsFOTnGzBChkQBClDgXAGnSXjPbZZz3GuuJbzDBtwK83Tvrdephg257ybINnWHMwrYSaDeyZPwy8hQQ5Edb9zYTkflYYwo4Ne1K7yaN0defDxS//jTiCEyJgpQgALnCDDhPYeDdyjgvALhEQdU4w6GhaHAjU9dhWHMmV2iKj7LO2eOXY7Hg1CAAhRwpAD/alZAv0XT+ti9+luYL22owK4sSoEqCVRLSkZoTIwaiuxAWIsq1cWdKSACQXfcATd/f6Rv2YKsgwdlFScKUIACTiZgveYw4bWeJWuigM0EWu7fr+o+0YhDkSkIzqos4Obri+B+d6p6EmbNUrecUYACFDCqgO4S3lfGfomJU+fh+Mloo/YJ46LAOQJepSW+zQAAEABJREFUWVlocvSoWmftochUpTqfsfmVF6g+cKDaOWnRL8hLTVXLnFGAAhQwooDuEt5L2jTHvEWrcFP/l/Hkax9hw5ZdyM93ssFSjfhIYUwOE2h26BDc8/PVUGQJNa07FJnDguKBnULAq1Ej+HfvjoLMTCT99JNTtImNoAAFKi3AHS8ioLuE93939MLaBZ9g7KuPIDo2Uf0wRN9Br+D7RSuRmpZxkVC5iQL6FAg7cFA1fH+rVuqWMwpYUyCkf39VXQJ/eU05cEYBChhTQHcJr3SDr48Xbu/THfO/ehtzp7yBkOBAjP5wJrre8jjGT56LI8dPSzFOFNC9QIPjJ9RQZBk+PjjWxApDkelehAFYWyCg53Xw1M705pw4gdQ1a6xdPeujAAUo4BQCukx4RS4vL19dzvDVnMXYvqtwuKY+PS7H/MVr0HfQq3jhnc+lGCcK6FogPKLwhyYONW+u6zjYeOcWCPnf/aqB/PKaYuDMRQQYpmsJ6C7hPZOUihk/LsPNA15WlzNEHI7Ea8/0x8ZfJ2PSqCewbuEnePflh5GWnulaPcloDScQnJiIWnFxKq5DLZjwKgjObCIQfNddqt609RuQffSoWuaMAhSggJEEdJfwvvH+dLw/eS5kTNwvJ7yAJXPeR/9+NyComr/qFx9vL9x509X4fNxz6j5nFKi8gGP3DCs6u3u0cWNk+vo6tjE8uqEF3AIDUd18lnfGDEPHyuAoQAHXFNBdwtvrqsswf9o7mDz2WXTv0g5ubibVc5lZ2TgZFYeCAo7YoEA407WADEXW+NhxFcP+Vi3VLWcUsKVAyEMPqerPLFiIvLQ0tcwZBYoFuEABnQvoLuFdsf4frN64/QL2yFOx6H3/C4iKSQD/UUDvAi0OHlRDkcXVqIEz1avrPRy2XwcCXg0bwv/qq9UQZWe++04HLWYTKUABClguoLuEt6zQ/P181Kbk1HR1y5ndBXhAKwmY8vMRFlH4RcwD4WFWqpXVUKB8gRqDBqlCMkRZgfY4VHc4owAFKGAAAd0kvPMWrcQ33y/BoWOn8M9/EWpZ7sv05exf8eybnyEkuBpaNKlvgG5hCK4s0PD4CfhkZSHT2xsntLNurmzB2O0r4H/1VfBq1gy50dFIWbrUvgc31NEYDAUo4GwCukl4v9aS3YlT5+FYZDQ2bd0NWTZPX835DY0bhGLCm4/D3V03ITnbY4HtcRIB81Bkcna3wI2PZyfpFpdpRoj5LO+MmS4TMwOlAAWML6Cbv6bL5k7A7tXfYvA9fTDqhSFqWe7LtGXJVLz/xmO4olMb3fQYG0qB0gRkKLIaCQnI0xLdgy1alFaE6yhgU4GgfnfCzc8PGTt2IHPvXpsei5VTgAIUsJeAbhJeM8hLT/4P9/TtYb7LWwoYSqDlvv0qnuONGyPb21stc0YBewq4eXmhetHPDcdPm26PQ/MYFKAABWwuoIuEV67b/eir+UhMSsHKDdsx88dlZU5Z2Tk2R+MBKGALAZ+MDDQ5dkxVHRHOL6spCM4cIhAyoL86bvJvvyE3JkYtc0YBClBAzwK6SHgjT8XiqzmLkZySjsV/bsL4yXPLnGQ8Xj13CNvuugLNDx1SwcfW5FBkCoIzhwl4hIYi8MYb1fETZs1Wt5xRgAIU0LOALhLeqy5vjy1LvkCj+rXVzwfLdbtlTeZfXNNzp7DtrinQ/GBhwnsgnD804ZqPAMuitlepkAeHqEMl/vCDuuWMAhSggJ4FdJHwysgLfr7eMJlMyMnJRVJKGvLy8pV7bl4eNm/fh537jqj7nFFAjwKNjx6Db2YmMnx9cKJRQz2GwDYbTMD3kkvg07498pOScGYek16DdS/DoYARBCoUgy4S3pIRffXdb7j+3ueRmp6BgoIC9H/iXTz43Djc/9jbmD7395JFuUwB3Qi02lf4bfgDYbx2Vzed5gINNf8QRdxXX6nXWxcImSFSgAIGFdBdwitj8N7d91rIpQt//bMHu/YfwdsvPIhnH7kbc37+06DdxLCMLFAzNhbBZ5KQ6+4OJrxW7mlWVyWBajfdCPcaNZATGYn09eurVBd3pgAFKOBIAd0lvDFxiQhv1kCZbd99EH7aR8B33nQ17ru9J6JjE9UPU6iNnFFAJwLh+yNUS482bYpcT0+1zBkFnEHA5OGBkIEDVVPiZ8xQt5xRgAL6FHD1Vusu4a1dszr2HjiuPl5buvJvXNGptfp1tfSMTNWXHKVBMXCmEwHf9HQ00M6eFWjt3deKX1bTGPjfyQSq338fTNobsbT1G5BVNJKIkzWRzaEABShQroDuEt7b+3RXly5cfvPjkPF5H7jzehXk2k071G2DurXULWcU0INAS+3srklr6Kl6dZEWEKAtOfI/j02BCwXcg4MRdPvtakPCzJnqljMKUIACehPQXcJ71y3XqGt2e13dCe+99giu7NxWme/YcwgP/+9m+Pv5qPucUcDZBdxzc9Gs6IxZREue3XX2/nLl9pmHKEv6eQHyzpxxZQrG7ioCjNNwArpLeE0mE+RLa+NeG4bbencv7pAxrwzFiEfvLb7PBQo4u0DTQ4fhqSW9Z4KDEBMa6uzNZftcWMC7eXP4XXEFCnJycIbj8rrwI4GhU0C/ArpLeIVavpz28+9rIT83fP7Ea3hFiJMdBKp2iIICtIwo/LLafp7drZol97aLQI3Bg9Vx4mfMRIH2Rk3d4YwCFKCATgR0l/AuW70ZPe95Dm+8/zV++m0NfvljwzmT/DCFTuzZTBcWqH/qFALS0pDp7Y1jjRu7sARD14uAf49r4dmgAfLi45GybJlems122kWAB6GA8wvoLuH9eu4SdO3YGluWfIF1Cz/Fyh8/PGeqFuDn/OpsocsLhO3frwwiwsJQ4Ka7p6FqO2euJWAymRBSdJY37qtprhU8o6UABXQvoLu/tBmZWeh8aSvITw3rXt+FAmCoZwWqJScjNCYWeVqieyisxdkNXKKAkwsE330X3Pz8kLVvHzL+/dfJW8vmUYACFDgroLuE95orL8HGLbvORsAlCuhMoPXefarF8kMT2d7eapkzCuhBwM3XF8H3Fn45OGEGhyirZJ9xNwpQwAECukt4w5o2wPZdBzBx6jzM+Xn5BVN2do4DGHlIClgm4J2ZiUbHjkF+aGJ/y3DLdmIpCjiRQMiQwYDJhOSlS5ETFQX+owAFKKAHAd0lvKs2bFeu33y/BGM/mX3BlJGVrbbresbGG1agxYGDcM/Px+k6dZASGGjYOBmYcQU8tcdutV69gIICJM6ebdxAGRkFKGAoAd0lvB+98xR2r/62zCmomr/VOyg3Lw8yFNrp6Hjk5eVbvX5W6BoCbtrjKOzAARVsBH9GWDlwpk+BkEGDVMMTv5uL/IwMtWyrGeulAAUoYA0B3SW8JYPOyMxGTm5eyVVWX563aCUu6fWwGgrt+vuexw33P49d+49Y/Tis0PgCjY8dh3d2NpKrVUO0dpbM+BEzQqMK+F3eBd6tWiE/PR1JCxcaNUzGRQEKGEhAdwlvrnaWbMqMRbj6jqfR+cZhWLryb9Udj738AZ554xO1bM2Zn68Ppo4foYZB27R4Clo0qY9JU3+w5iFYl4sItNq7V0W6r3UrdcsZBfQsUPxDFNO/RkGBXJWu52jYdgpQwOgCukt41/+9E5O/WYAe3TqiQd1axf3T7+ZrsWLdNiSlpBWvs8bCrb274equHdQwaIEBfgis5o/goGrWqJp1uJBA7ehoBKakIMvLiz804UL9bvdQ7XjAwFv7wi0oCDmRkUhbt86OR+ahKEABClRcQHcJ7/eLVuCBO3th9EsPoXGD0OKIO7RpppZPRcWpW2vP5Bfdnn3zM+yJOIphA/oWV59fAHAyrkFxR1dxIbzoZ4QPhIUh3929irVxdwpUTsCar1UF7h6oPmCAaogMUWbNulmXcV9T2beV71v1ZOPMYoHzC7qdv8LZ70ccjkR484ZlNtPLy7PMbVXZcPjYacQnJqsvrSWnpBdXdSYlC5yMa6C9nynu68ou+Kemot7JU+qHJg6Eh1W2GpvvJx9LWyNemzfUSgdwxXit/Vpl6tsP0N7ApW3YgLj/9vK1kH8P+Biw4WPASi99LluN7hLeDq2b47flfyFf3iaW6LYfflml7pW8zEGtsNLs2UfuxqxPX0O/m6/B829PLq41JNAbnIxrYCru6covhO/fD6nnWOPGcOYfmjCZTKqdlY9UX3uaTK4Xr7Vfq2o1rYegvoWfeOX99D1fC/n3gI8BGz4G9PUK63yt1V3C+/jg27Hl333oO+gV7D1wDH+s2YLHX/kQX8z6FZKUetvoDK+565o2qouEMymQL8+Z1/GWAmUJeOTkoNnhwlE9+GW1spS4Xs8C6ocotACSFixA3pkz2hL/U4ACuhNwgQbrLuFt2bwhfp4+GpJ4ZmblYOWG7YiKicfbLzyIh/93i9W7bMq3C7FjzyFkZmXjZFQcvpm3BF07toaH9jGe1Q/GCg0n0OzgIXjk5SGqTh3+0IThepcBiYBP69bw69wZBdqbu8R5HMFGTDhRgALOJ6C7hFcIJemdPPZZbFkyFbtWfYMFX7+Lu/teCzc3k2y26iRJ7gNPjMZlfYah9/0vwN3NDe+89JBVj8HKDCpQUICWRV9Wi9D/zwgbtJMYljUEQgYNVNUkzJyJgtxctcwZBShAAWcS0EXCm5Schpi4M6VOsfFJ56yXL6JYE3jMK0Ox/Y+vsGzuBGxY9BlmfzbynOHQrHks1mUsgQYnIuGXkaF+aOJ03brGCo7RUKCEQMD118MjNBR58fFIWbK0xBYuUsCIAoxJjwK6SHhfHz8N1939rEVTcurZERSs1SEy8oN8GS44KMBaVbIeFxAIj9ivotzPs7vKgTPjCpi0T75qDBmsAoybPl3dckYBClDAmQR0kfAOG3gbprz3nJq6d2mHDm2aq2XzOrlt3rgeZJv8MpozAbMtrikQlHgGteLi1Q9NHG3a1DURGLVLCQTdey9MPj7I2rcPGdu2u1TsDJYCFHB+AV0kvO1bNcW1V16ipqiYBPTp0UUtm9fJ7XOP3oMNW3YhKyvb+dXZQsMLtNpX+DPCh8Ja8IcmDN/bDFAE3P39EXzXXbKI+Jkz1C1nFABABAo4hYAuEt6SUqnpGThy/HTJVWq5Vo1gdXvgSKS65YwCjhLwzsxEo+MnkG8yISLMeX9owlE+PK7jBLKysnD8+HEcOXLEJlNar54quJRlf+Dw5i02OYYlbT927Jh28iNLtYUzClCAAiKgu4T3ysvaYv7iNdi284D61TMJIiMzGzN/WCaLMCe+6g5n+hAwWCtbRkTAraAA8kMTWdpHvAYLj+HoWMDNzQ0//PADZsyYYZNp1h9/4JR8QVN7/O8YO8Ymx7Ck7fPnz4fEquOuYtMpQAErC+gu4ZUflwitVR0Dnx6DK/o+gbsfeQudbxyG31b8hScfvJMjKFj5AcLqKibglpcHGXtX9trbprXccKKASwmYh+BrfvAQ3DlEWR5W0kMAABAASURBVIX7njtQgAK2EdBdwitncH+bNR4jhw9E72s7qzO699/eE1PHj8Djg26zjRJrpYCFAk2PHIV3djaia9fmD01YaMZixhKIrlMHyYHV4Kklu02PHDFWcIyGAhTQrYDuEl6R9vXxwgN39sKYV4bi83HP4Y3nBuHqrh1gMplks8EnhufMAuH7C4cii2jZ0pmbybZRwKYC+8PDVf0t92nPh4ICtcwZBShAAUcK6DLhdSQYj02BsgTqnj6NwJQUpFSrhlP165VVjOspYHiBY02bqiH5AtLSIM8LmwXMiilAAQpYKMCE10IoFqNAeQIt9xYORbafZ3fLo+J2gwvkubtDhuSTMOUyH7nlRAEKUMCRAkZPeB1py2O7kEBIfDxCY2KR4eODQy2au1DkDJUCpQscaN5CbWh44gSqJySoZc4oQAEKOEqACa+j5HlcQwk0O3RYxRMRznF3FQRnTihg3yZl+vniYPNm6qCtij79UHc4owAFKOAAASa8DkDnIY0lEHzmDJofPowsT08c5A9NGKtzGU2VBPa3aqX2D42OQWByslrmjAIUoIAjBM5JeB3RAB6TAnoXaLtzlwoholVL5GpJr7rDGQUogNRq1dQPsMhQfW137aYIBShAAYcJMOF1GD0PbASBwKQk1D95EtlaohtRNBSTEeJiDCCBlQR2tmsHGZis4fHjqJbEs7xWYmU1FKBABQWY8FYQjMUpUFKgvXZ2V0Z/3t8ynGd3S8JwmQJFAmnVAtRZXnmetNtV+GlI0SbeUIACuhAwRiOZ8BqjHxmFAwTU2d3IyMKzuxyKzAE9wEPqRWBX0VneRidO8CyvXjqN7aSAwQSY8BqsQxmO/QTkbJWctYrg2V3YT51H0qOAOsvbpIlqenue5VUOnFGAAvYVYMJrX28ezSACcna3wYnCs7v7eXbXIL3KMGwpsKtt28JreXmW15bMrNvxAmyBkwow4XXSjmGznFugrXaWSp3dDee1u87dU2ydswjIWd6jTZuq5rTbtVPdckYBClDAXgJMeO0lzeMYRkDO7jbUzu7meHhgf6uWFY+Le1DARQV2tm+HfJMJjbTnD0dscNEHAcOmgIMEmPA6CJ6H1a9Au127IWd35VIGjrur335ky+0vkOHnh6NNGqsDt+dZXuXg6jPGTwF7CTDhtZc0j2MIATm72+DECcjZXfmymiGCYhAUsKPArvbt1Vle+ZSEZ3ntCM9DUcDFBZjwuvgDwPnDd64Wti06uxvRsiVyvLycq3FsDQV0ICBneY81LRqxYSev5dVBl7GJFDCEABNeQ3Qjg7CHQEBKChoWnd3d3zLcHofkMShgSAH59TW5lrdhZCTH5a1ID7MsBShQaQEmvJWm446uJtCu6FfVIsLDeXbX1Tqf8VpVQM7yHm3SRNXZgWd5lQNnFKCAbQWY8NrW196183g2EpCzu42OH1fX7nJkBhshs1qXEthVNGJDA57ldal+Z7AUcJQAE15HyfO4uhJoVzTu7oGWPLurq45jY51WQM7yHikal7fDf//ZoJ2skgIUoMBZASa8Zy24RIFSBfySktHoWOHZ3X0tOe5uqUhcSYFKCOxu11aN2NDg5Eley1sJP+5CAQpYLuDSCa/lTCzpygJh2/5R4+4eCA/jtbuu/EBg7FYXUGd5mzVT9V7Cs7zKgTMKUMA2Akx4bePKWg0ikH38OOofOqyu3d3XqpVBomIYFLhAwGErdrdto87y1udZXof1AQ9MAVcQYMLrCr3MGCstkDjlc3V29yDP7lbakDtS4GICcpb3cLOmqkiHHTvULWcUoAAFrC1gecJr7SPrqL7cvDycjklAVnaOjlrNplZVIPvYMaT8/jtyPTywl2d3q8rJ/SlQpsCetm2R5+aGBqdOITgxscxy3EABClCgsgJMeMuR+2rOYlzS62Fcf+8IdOr9CEaMmoyk5LRy9uJmIwjEaWd3UVCAo9ofY/6qmhF61HoxsCbrCshZ3qNFZ3llRBTr1s7aKEABCgBMeMt5FAQHBWD6pJewdemXWPD1u9jy7z4sWLKunL24We8CcnY36ZdfYPL1xaEO7fUeDttPAacX2KW9sZSzvPVP8iyv03cWG0iBswK6WWLCW05X3dO3B67o1Aa+Pl4Ib9YAPbp1xNq/eJ1ZOWy63xz3+VTI2d3gBx5Arre37uNhABRwdoFM7c3lkaIRG9rx19ecvbvYPgroToAJbwW6LCc3Dxu27ETbloVfsKjAriyqI4GMbduQtHAhTH5+CB4yWEctd9KmslkUsFBgT9s2qmT9U6d5La+S4IwCFLCWgJu1KnKFet79aCZSUjMw8O7exeHm5OaDk7EMoid9pPo3+IH+cA8OVsuuMCsocIUoz8bIeM9aOMtShnaW90CLFqo54REH1G1lZ9K/fG021muzEfqzKjFU9rnA/QoFmPAWOpQ7n/LtQsxfvAZff/gyatc8mwSlZeaCk3EMEtdvRMbWLTD5+MDr/gFwrRywgPGW+0qg5wL66N+9RWd5mx45guCEhCqAF/C1mX+fDPUYqMKTgbtqAkx4NYSL/c/PL8CEKd/jm3lL8eOXo9C+1bmXMwQHeIGTcQwyZ3+rHg41HxmKkAa11Ri8aoXdZo47kMlkYryO47f5kU0mffSvnOXdHx6uPDrs3KVuKzMzmUx8bebfJ0M9BirzPOA+ZwWY8J61KHXpzQlf49sflmLSqCcRFBiAk1FxapKxeUvdgSt1K5D08wKkrd8Aj1q1UOOhh3QbBxtOAb0L7G3TWoVQIzYWtWJi1DJnLijAkClgRQEmvOVgyjBkUuSxlz9A7/tfKJ5Ono6T1ZwMIpCXloboCRNUNLVffAEyHJm6wxkFKGB3gSwfH/zXvj28cnPReetWmPLz7d4GHpACFDCWABPecvpz2dwJ2L362wumxg1Cy9mTm+0gYLVDxH38MfISE+Gj/ZENuu02q9XLiihAgcoJ7GvdCqkB/ghMTkGLA1X7AlvlWsC9KEABIwkw4TVSbzKWSglkHTqEhNlz1L51R7+jbjmjAAUcK1Dg5oatnTurRrTfuQvemZlqmbOyBLieAhS4mAAT3ovpcJtLCJx+401A+8g0+O674dOqlUvEzCApoAeB6Dp1cKpuXXjm5qLDDv7gjx76jG2kgLMKMOF11p6xQbtY5YUCyUuWQH5ows3PD7VGPAf+owAFnEtgW6dOyDeZ0OzIUYTExztX49gaClBANwJMeHXTVWyotQXyMzIQPXasqrbW8GfgERKiljmjAAWcRyCtWgD2ty785KXLli2Qn/y2QutYBQUo4GICTHhdrMMZ7lmB+KlTkRsbB69mzVB9wICzG7hEAQo4lcDuNm2Q4eOD4DNJaHr4MPiPAhSgQEUFmPCWJcb1hhbIPn4ccdO/VjHKF9VM7u5qmTMKUMD5BPI8PLC9U0fVsA7/7YRHTo5a5owCFKCApQJMeC2VYjlDCZx+axSQm4tqvXrB77LLDBUbg6GAtQWcob4TjRohtmZN+GRlof1//zlDk9gGClBARwJMeHXUWWyqdQRSV69G+qZNMHl6InTka9aplLVQgAI2F9jSpYv6AluLg4dQLSnZ5sfjAShAAeMIWCnhNQ4IIzG2QIH2UWjUmMIvqtUY+jA869UzdsCMjgIGEkgJCsTBsBZwKyiA+gKbgWJjKBSggG0FmPDa1pe1O5lA/PSvkXPiBDxq1USNYcOcrHVsjiEEGIRNBXa2b49Mb2/UiotDw2PHbHosVk4BChhHgAmvcfqSkZQjkBMTi7ipU1Wp0FdegZuvr1rmjAIU0I9ArqcndnTooBrccfu/cM/NVcucUYACzifgTC1iwutMvcG22FQgZuxYFGRmwrdTJwTecotNj8XKKUAB2wkcbd4M8SEh8NWez21277HdgVgzBShgGAEmvIbpSgZyMYH0f/5B8tKlqogMQ6YWOHMCATaBApUTkC+wFWi7ttq3D/4pqdoS/1OAAhQoW4AJb9k23GIQgYK8PJx+400VTfX774N38+ZqmTMKUEC/AknVg3GkWTP1BbZO27bpNxC2nAJmAd7aVIAJr015WbkzCCTOmYPsw4fhFhiIWs895wxNYhsoQAErCPx76SXI8fBAvdOnERoVZYUaWQUFKGBUASa8Ru1ZxqUE8lNSEDt5ilquPfwZuAcFqWWdzthsClCghECOlxd2Fn2BrfOWrSW2cJECFKDAuQJMeM/14D2DCUS9Mxr5SUnwDg9H9f79DRYdw6EABQ6Eh+GM9kY2IC0NzQ4eJIjLCDBQClRMgAlvxbxYWkcCGf/9h6Rff1UtrjfmXXXLGQUoYDyBfzp3VkF12rYd/qn8ApvC4IwCFDhHgAnvORy8YxSB/ORkRD71tAqnxsMPwad9e7XMGQUoYDyBuFo1cSAsDO75+bh6zVq45+QYL0hGRAEKVEmACW+V+Lizswqcem0kcmNi4N2iBWq/+KKzNpPtogAFrCTwX4cOSPP3R1BKClpv+stKtRqmGgZCAZcXYMLr8g8B4wEk/bwAKcuXA56eqDfpA+MFyIgoQIELBHI9PbCx25XIN5nQaP9+pP755wVluIICFHBdATfXDZ2RnyNgkDvZJ07g9OjRKprQF1+AT3i4WuaMAhQwvkBCjRrY1batCjT69TeQc/o0+I8CFKCACDDhFQVOhhAoyM/HyeHDUZCRAf/u3RAyaJAh4mIQFKCA5QJ727ZBQp06KEhPR+TwZyGvC5bvXViScwpQwHgCTHiN16cuG1H8lM+RuWev+oGJehMmuKwDA6eASwuYTNjWq6f2OlANmf/9h/ipU12ag8FTgAKFAkx4Cx0qOGdxZxPI2L0HsZMnq2bVGz8OHiEhapkzClDA9QSy/fwQ+t57KvDYTz9Dxo4dapkzClDAdQWY8Lpu3xsm8nzto0u5lAEFBQi+915Uu+46w8TGQCjg9AJO2kD/a65B8H33Ql4X5NKGvLQ0J20pm0UBCthDgAmvPZR5DJsKRL37LnIiI+HZoAFCR75m02OxcgpQQD8Coa+9Bq8mjZEbFYXTr76qn4azpRSggNUF7JHwWr3RrJACZoGUVasgw5DB3R31P/4Ybt7e5k28pQAFXFxAXg/qf/IpZIjClD/+RNKChS4uwvAp4LoCbq4bOiPXu0BOTCxOvfyKCqPWM8/At20btcwZBZxXgC2zt4BPeBhCi3585vQ77yBb+zTI3m3g8ShAAccLMOF1fB+wBZUUOPX8COQnJ8PnkktQY9gjlayFu1GAAkYXCBk0EH5XXgkZsjDy6WdQkJtr9JAZHwWcX8DOLWTCa2dwHs46AgnffIP0LVvh5u+PBh99CJPJZJ2KWQsFKGBIgfqTPoB7cDCy9u5F7EcfGTJGBkUBCpQtwIS3bBtucVKBzIgIRE/6ULWu7ph34Vm3rlrmzHACDIgCVhPwqF4dkvRKhfHTpmtvmLfIIicKUMBFBJjwukhHWyvMrKwsHD16FIcPH3bIdGjnThyT63ZzcuDesyfiwsNt0o7CMWYIAAAQAElEQVRjx45BYrWWG+uhAAUcL+DfrRtqPPyQasjJ559HflKSWuaMAs4vwBZWVYAJr4WCBQUFyM3Ls7C0cYu5ublh/vz5mDlzpkOmw8+NQL72kWRSYCB+qB5sszZIjBKrcXuSkVHANQVqv/gifNq0QW5MLE6+UvilV9eUYNQUcC0BJrwW9vfiPzeh9/0vWFiaxWwhcNnWf9AgMhIZPj5Ye+01yPX0tMVhdFsnG04BClgmUP/DSTBpryOpq1YjaeFCy3ZiKQpQQNcCTHjL6b7jJ6PR538v4pWxX5ZTkpttKRC2PwItDh5Errs71l1zNdL9/W15ONZNAQoYWMCrcWPUe/ddFeGpV17lTw8rCUPNGAwFLhBwu2ANV5wjUK9OTcz45FWMHD7wnPW8Yz+BuidPotP27eqAG7tdicSQELXMGQUoQIHKCgT2vQW1nnla7X78oYeRuXevWuaMAhQwpgAT3nL61UM7o1inVgiqBwWUU5KbbSEQdOYMum3cpKre3vFSnK5fXy1XecYKKEABlxeo+cQTCLz1VuSnpeH40EeQc+qUy5sQgAJGFWDCW8WezcrJhytNVeSq0O4+GRm4dvUaeOTl4WCL5oho2bJC+1e1cEFBVWvQ1/6MV1/9VdHWumL/WvLaXGP0GPh27468+HgcHTQEaVExLvWaLkac9PF3vKLPeZY/V4AJ77keFb6XnZMHV5oqDFTJHdxzc1Wy65uZiajQUPxz2WWVrKkqu7lYxgvGW5VHi/Pv63r9a8lrs3bOAiETP4Jn23bIjTyBUw8/jMwzyS71um6JE8s4/m+987/GOHcLmfBWsX+q+XnC+NPZGKvIZdnu2qmoq9atR3BSEs4EBWH91VcBDvglNZPJtX69zWRivDDwP5PJ9frX0tfmwOoBaPrNdHg2bIjcQweROPxJBHgUuNRru6VWLHf276G9LQz88mSX0JjwlsMs4+/m5OQiNzdPlVTL2kfs6g5nNhHouH076kRHq+HH1vS4FnkeHjY5DiulAAUoYBZwDwxE4xnfwr1GDWRs24bI4c+iID/fvPnsLZcoQAFdCjDhLafbDh09hUtvGKqGJYuOTVTLr4+fXs5e3FxZgeYHDiI84oAafkyS3Uxf38pWxf0oQAEKVEjAs149NPrmG7j5+SF11SqcfuPNCu3PwhSggPMKMOEtp29aNK2P3au/PWca99qwi+3FbZUUCI2KwmX//KOuJJXLGJKCgytZE3ejAAUoUDkBn/AwNPzqS8DdHUk//YTYjz+pXEXciwIUcCoBJrxO1R2u25iasXHosnkLTBrBto4dEV2njrbE/xSggL4F9Nl6v8suQ/33x6vGx33+ORK/+04tc0YBCuhXgAmvfvvOMC0PiYtDt/Xr4Z+ejoiwFjjYMtwwsTEQClBAnwKBt9yC0JdfUo2Pemc0kpcuVcucUYAC+hRweMKrTza22loCdU5H4bqVq+CblYXI+vWxXTuzYq26WQ8FKECBqgiEPPggQgYOUFWcfPY5pG3cqJY5owAF9CfAhFd/fWaYFjc6dgzXrlkDj/x8HGvcCBtk+DHDRMdAKFBhAe7ghAKhI0ci8KabVMtOvfIqMrb/q5Y5owAF9CXgpq/msrVGEZDRGK7c9JcK50CLFvjryivVMmcUoAAFnE2g/oeT4K+9Ic+NicGJp55C+j//OFsT2R4KGEzA+uEw4bW+KWssR6DNrl3oXPQHY1fbttjW2RG/olZOI7mZAhSgQAmBRl99hWrXX4+8+Hgc6z8ASQsWltjKRQpQwNkFmPA6ew8ZqX0FBeikJbrtd+1WQ49t6dIZu9u3M1KEjMWOAjwUBewtUP/TTxB8z93qsKdefRWxH36oljmjAAWcX4AJr/P3kTFaqCW7V27ahLADB5FvMmFD9+443Ly5MWJjFBSggEsImEwm1B09unj0hrgvvkTk008jPyvLJeJnkE4rwIZZIMCE1wIkFqmagFteHq5etw6Njp9Qv6C29pprcLJhg6pVyr0pQAEKOEhARm9o8PnngKcnUv5cjmMPPIDcxEQHtYaHpQAFLBFws6QQy1CgsgLuubnosWo16p06jWztj8Oqntchui5/VKKynpXejztSgAJWFah2XQ80mT0LboGByNy9B0f63YWsgwetegxWRgEKWE+ACa/1LFlTKQK9lq9Arbg4ZPj4YGWvXkioUaOUUlxFAQpQQH8Cvpdcgmbzf4Rn/frIPX0aR++7n2P16qAb2UTXFGDC65r9bvOo/dLScMsvv6L6mTNI8ffHihuuR1JwkM2PywNQgAIUMAtkZGQgTXstsuWUrb2Jrz1zBrzbtUO+dqzjDz2M6NmzbX7c82OSWM1x85YCFLhQgAnvhSZcU0WBlnv34dZfFyMgPR2xtWph5fW9kKYlvVWs1o6781AUoIARBDw8PLBq1SosWbLEptMfmzZhe787kdyqpWJLeHcMtj0z3KbHLBmTxCixqoNzRgEKlCrAhLdUFq6sjIBfahp6rliJS3fsULvLGLsre/VEpq+vus8ZBShAAXsL7Nu3D7t27bL5tDMiAksuvRQHwsNUiDU3bIDftOnYt/1fmx97//796pg2mbFSChhEgAmvQTrS0WE0PXQINy5dglqxsUj188Of2lldjrHr6F7h8SlAAXsLbOvUCds6XqoO2/ToUVy3aiVqxMap+5xRgAKOE2DC6zh7QxzZJyMD165eg8u3bIVnbh6ONGuKZTfdhISaNQ0RH4OgAAUoUFGBAy1bYmXP65CufboVkpCI61eswKXamV4ZtaaidbE8BShgHQEmvNZxdMlaGh07hhuXLEWdqChkeXlh3dVXYfPllyPX08MlPRg0BSjg6gJn44+tXRtLbr4JEWEtUKCtbrl/P25asgQ1tU/BtLv8TwEK2FmACa+dwY1wOI+sLFy1dh2u3PQXvLOzER1a+MJ+qn59I4THGChAAQpYRSDX0xPbL7sMf/a+AWeCguCflo6ey1fgsq3/wCMnxyrHYCUUoIBlAkx4LXOyWim9V5T57w5cO/8n1D91SoXyT8eOWH3ddcjy8VH3OaMABShAgXMFEkNCsOymG/Ffh/YwmUxocfCg+nQsNDr63IK8RwEK2EyACa/NaI1VcW5UFE6//gYiBw6ET0YGEqtXVx/XHWwZbqxAGQ0FKGAvAZc7zt42bfBb31sQFRoK//R09Fi1Gl3+3gxPnu11uccCA7a/ABNe+5vr6oi5sbGIemc0DvS4Dmfmz1dtP3DpJfijT28kBwaq+5xRgAIUoIBlAqkBAVhzXQ/8dUVX9d2HZkeO4Kbff0dIHEdysEyQpShQOQHnTngrFxP3soJA3pkziHn/fRzsdT0Sv/tO1Rh0551ovHQpIjp3Vvc5owAFKECBygkca9IEv99yM440bQrfjEzcsHwFblj2B5poCXDlauReFKDAxQSY8F5MxwW35aelI/bTz3Dgup6I//obFGRnI1D7CK75kiWo995YeNav54IqDJkCjhdgC4wnkO3tjc1dL1dDmMmX2kISE9H1783ou+gXhEUcgHtenvGCZkQUcJAAE14HwTvbYQsyMxE/bbp2RrcX4iZPRkFGBgJ69kSzxb+i/sSJ8GraxNmazPZQgAIUMISADGG27MY+WH9Vd8SHhMBfe/3ttG0b+v7yK1rv2cMRHQzRywzCigKVqooJb6XYDLRTTo66ZOHgDb0RoyW2eWfOwF970W36809oOGUyvFu0MFCwDIUCFKCAkwqYTDjZoAGW974Bq3pci6jateGTlYUO/+3ErVri2/6//+Cl3XfS1rNZFHB6ASa8Tt9FtmmgnMFNXbkSB7REV76UJl9O8+vcGU2+n4tG06bBp00b2xyYtVLAHgI8BgV0LBBTpw7W9LxOjd97sn59eGknJtrs2YvbFv2CjtqZX9/0dB1Hx6ZTwDECTHgd4+6wo6Zt3IhTr76GQ7ffgRNPPAkZbsynXVuV5DaePQu+l17qsLbxwBSgAAUocFYgISQE66++Sg0BeaxxI7jn5yM84gBu0874dvn7b3hmZ58tzCUKlCHA1YUCTHgLHQw9z9ixA9HvjUPEVVfj+EMPI2nBAuQcP47AG29UiW7T+fPVZQyGRmBwFKAABXQqIENA/nXllfi1b18cLLrMrNmRo+j38wJcsWkTGmlnf3NjYnQaHZtNAfsIMOG1j7Pdj5KtvRjGfvwJ5Nrco/fdj4QZM5AXFwf/7t1R77330PKff1D/ow+Z6Nq9Z5zxgGwTBSigB4H0AH/80/kyLLrjduxp3RoZvj5ofOw42m3YgKO9rseRe+5F3BdfIvvQIT2EwzZSwK4CTHjtym3bg8k7/PjpX+PInf1w6KabEPf558g5cQK+nTqizhuvI3zTRjSaPg1Bd94BN38/2zaGtVOAAhSggE0EMn18sPOSDvjlttuwoud1ONq2DTxq10bmzp2I/fBDHLqlr/obEDPxA2T8+y9QUGCTdhiyUgZlWAEmvDrvWklyU1etxrEBA3HgmmsRM2ECMvfuhXd4OGo9+yzCVq1Ek+++Q/X+/eFevbrOo2XzKUABClCgWMBkQpyW6O7p1g1NVixH4zmzETJ4MDxCQyGf8sVPm4aj9/9PXc4WNWoUUteuLd6VCxRwNQEmvDrq8az9+3Hmp58RNfpdHLn7buxt1VoluScefxzpW7fCs0ED1HzsUTT/bTGa/bJILXvUraujCHXRVDaSAhSggFMK+F12GUJffQVha1arEx0q+dX+BuTFxyPx+3k4MexR7OvYCdHj30fyr4uRvmUL8hISnDIWNooC1hZgwmttUSvVl3v6NFJWrIB8JHVs0GDsu7QjDt9+B06PHInEOXOQuWu3OpJn/fqofv99ajixFsv/VGd1vZo3V9s4owAFKEAB1xSQS9lU8iuf8s37HjUeehCe9eqpHxVK+OYbnHzxRRwbOAgR3bprJ06uwYlHH0PsJ58ideUqyN8fy9RYigL6EWDCa2FfpaSmIzEpxcLSFSuWn5YGGS5MvmwgZ2sjruyGA9f1ROSTT0E+kkrfvBnyS2huQUHwv/oq1HziCTT8YirC/9qEFtrHWHW0j6p8L720YgdlaQpQgAIUcAkB30suQe2XXkKLlSsgo/LUefMNBN9zD3zatlXx58bEInXNGsRNmYIT2t8X+fuzv+sVOP7wUMRM+hDJS5dCRvZRhTmjgE4FmPCW03HpGZl4euTHuKLvE7jq9qfxvydGIy4hqZy9Krb5tJawynBh8mUDuR43LzFRVSDv0EMefFD9tG+LP5ah5d9/odFXX6HWM08j4Npr4R4crMo584xtowAFKEAB5xGQcderP/AA6o5+B01/mo/W+/ai6YKfUXfMu6g+oD98O14Kk48P8pOSkLZhA+K//BInn30OB3v3wf7OXSCfOMZN/UJdDuE8UbElFChfgAlvOUbfLViBiMORWDX/I/y1eArc3dzw8bSfivdKT09HXl5elSZv7V22fMksqN+dqP36SDT6YR7Cd+9Cw1mzQ9LpJAAAEABJREFUUPOF5+F/041wq1+/Sseoahtlf4m1OHAuUIACFKBARQSctqxP69YIvusu1Hn9dTSZOxet/t2OZot/Rb0J76tLIfy6Xg43f3/kp6ZCPnGM/egjyOUQ8j0S8xTR/SocvuNOHH9kmLr0Lvbjj9Xldyl//AEZKSLn5EmnjZ8Ncw0BJrzl9PPSVZtxd99rUbtmMKoF+GHg3Tfg59/XoqBomBdPT0989tlnGD9+fKWnL0+dwvdXdMW3AQH44vhxfLx4caXrqko7Lrbv5MmTIbGWw8XNFKAABSjgIIHMzEzk5uYiJyenypNb48bwu/FGVH/uOdSbNg3N/tqExr//hjoTJyJk2CPwv+YayPdF5FI7CVe+GJe1bx/S1q2DfLk67vOpkC9YRz4zXI0UcbDX9eqL1vsv74qDN9+Co4OHIPL5FxD1/vuInT4dib/8guT165G2d69FbZdYwX8UqIAAE95ysI5FRqNR/dDiUg3r1VbLyanp6lZm8uKSnZ2NKk9OXIfEKLFyogAFKEAB5xRwd3fHR9rZ1zFjxsAW0/szZ+LjrVvweXIyvq5XF7O6dMZc7RPIefffp34F7s/re2H9Vd2x9bJO2K19cnm4WTOcqlsXidWrI8PHR6Hla/vmHD6MjL//RspvvyHx628QN2Eiol56GSeHPoLjd/bDwfYdypz2XXIp9nTughN9bsRBbTrQ91YcvPseHHygPw499DAOP/EEjjw3AkdfeQXHRr2N4+PG4/ikD3FCO2kTOf1rnJw9G6d+nI9TWoId9eefiPpzOU7LtGIFolatQtTqNYhauxbRWvIdtX4DojZuRLTW1ujNWxC9dStitm1D9LbtiP73X8T89x9idu1CzO7diNUS9dj9+xGjTbEHDyJWizHuyBHEHTuGuBMnCiftLHd8fDwqOiUkJICfsKqHT5VmblXa2+A7y1lcuYbXx9urOFJvL0+1nJ6eqW4BEzp16oSuXbsaepIYof4xXiP2NfuXz19ne1xXpT18PNv/8dy+V0+E3XILGtx1F2oOGAD/oQ/D7emnkP3Si0h68w1EvzcWRz+chOOj3sKp50cgWjtLHHffvUjUEuaU7t2R3r49Mps3V1NWo0bIrlMHOTVqIC8wEPm+vuqvj8w88vPhlZWF3Oho5GjJZK6WXOZoSWeOlohma8lp1spVyFyyBBkLFyH9+++R9u23SPvyS6R++hlSJkxA8rtjkPTGG0jSEuzEp59B4tNP44xMTz6FxMefQOJjjyFx2KNI0JLvxKFDkagl0QmDhyBh0CAkDBiIeC2xTnjgASTc/z/E33sf4rVkO/6uuxGnJepxt9+BeG2K05LwOO0sduxNNyNWS8pjb+gNNWlnuWO6XwXzdPD117F58+Zypx07dvATVun8Kk5MeC8CaDKZ4Ofrg6zsnOJS5mU/Px+1Lj0rH1dedS169Opt6OmK7tcgPatAmxivEfua/cvnr5Ee13w8O+/j+Zp+96Db4IfQ9anh6DzyTXQcPxHtP/8CbebMRasFi9TUcvHvCP9jOcJWrUHz9RvR7O8taPLfLjU12rQZDVevRe1flqD2/IWo+/081J0xE6FfTkPtjz9BrfHvo8bb76DGq6+hunamN/iJJxD04MMI1BLVav3ugr+WlPv17AVf7Uy0T5cu8NHOFvt0ugzeHTvC+5JL4d2+A7zatoNXm7bwbtUaXmHh8GoRBs9mzeHZpCk8GzeBR8NG8GjQAB7168NdO4PtHhoK99q14F6zJuQHnuQL5W5aou4WEAA3fz+YtITd5O2tcoaSs4ZNmsOS55358VxyXy5XXEDHCW/Fg63MHo0bhOL4yejiXU+cilHLgQF+6jYowAu+Xu4uMUmsMjFeY/a39K1M7F/2rxEeA/JYlskIsVgSg8QqkyVl9VzGv3o1BNSphRrhTVCjXUsEX9oBwV27IOSa7qjR5wbUvP1W1L7vHtQePBB1Hn0EdZ95GvVefgH133wdDca+i0YfTETjKZ+hybRpaDprJprO1qbvZqPZ3O/QbN5cNPtxHpr/9COa/zwfzRb+jOa/LkLzxb+gxe+L0WLp72ixbAnC/lyGsOV/ImzFcoSvWonwNasRvnYtwtevQ/imjWrI0Jab/0bLrVvQ8p9/0Gr7NrTa8a8aEUNGxTBP0i5L+yJIyzVU0sFZpQXcKr2ni+zYp0cX/PjrasTEnUFqWgZmzf8T/W6+BiaTyUUEGCYFKOD0AmwgBShAAQpcVIAJ70V5gAfuvB7NGtfDdXc/i663PI6cnFw8/VC/cvbiZgpQgAIUoAAFKEABewuUdTwmvGXJFK339/PB5+Oew8ZfJ2PNzx9j3hdvqSHKijbzhgIUoAAFKEABClDAyQWY8FrYQUHV/FEzJMjC0ixGAQo4rwBbRgEKUIACribAhNfVepzxUoACFKAABShAARFwoYkJrwt1NkOlAAUoQAEKUIACrijAhNcVe50xU8ByAZakAAUoQAEK6F6ACa/uu5ABUIACFKAABShgewEeQc8CTHj13HtsOwUoQAEKUIACFKBAuQJMeMslYgEKWC7AkhSgAAUoQAEKOJ8AE17n6xO2iAIUoAAFKKB3AbafAk4lwITXqbqDjaEABShAAQpQgAIUsLYAE15ri7I+ywVYkgIUoAAFKEABCthBgAmvHZB5CApQgAIUoMDFBLiNAhSwrQATXtv6snYKUIACFKAABShAAQcLMOF1cAdYfniWpAAFKEABClCAAhSojAAT3sqocR8KUIACFHCcAI9MAQpQoIICTHgrCGa04vn5BYhLSEJSSlqpoWVl5yDydCwSzqSUuv38lRUtf/7+vG9dAWv3r3Vbx9qqKsD+raqgc+9vq/5NS8/E6ZgESP3OLWDs1om/Nf/+Glur6tEZNeGtuowL1LBp6250veVxXNtvOLrd+iSGPDsOu/YfKY789fHT0an3I+jzvxdx9R1PY+DTY3EmKbV4+/kLFS1//v68b10Ba/evuXXZ2psgeSzc/chb5lW8dYCAtft3/OS5aNtjyDnTgKfGOCAyHlIErN2/UueaTTtw84CXcfnNj+H6e0fg4NGTspqTAwSs2b/HIqPPed6an8ddbnrMAZE57yGZ8Dpv39i8ZSY3E958bhA2/joZK3/8EP5+Ppj8zcLi4zasVxs/fjkK/y6fjiVzxuPoidP44ddVxdvPX6ho+fP3533rCli7f6V1BQUFeHvSDGzbGSF3OTlQwPL+nW7R81f6tke3S/H77PHF08S3HndghK59aGv37+qN/+KJVz9E72u7YPHM97Bh0WeQ12zXVnZc9Nbs33p1ahY/Z83P30H39EGtGkGOC9AJj8yE1wk7xV5NuqJTG9zauxuCqvkjtFZ13Njjcqz9awdy8/Ig/x4deCvahDeBp4c76tauIasQHBigbkubVbR8aXVwnfUErN2/0rJp3/2GPRFHMeLRe+UuJwcK2KJ/qwX4oXGD0OKpTq0QB0bo2oe2Zv/Km5mPp81Xr/fPPnI3mjaqi+CgAPj6eLk2sgOjt2b/yt/oks/bmiFBmL94DR4fdLsDI3S+Q6uE1/maxRY5QmDD1l1oHdYYHu7uxYeXj6+nzvwFg4a/h47tw3BzrytwsX8VLX+xurjNugJV7d8/1mzFzB+X4fPxI1DN39e6jWNtVRaoav9KAzZv34vX3vsKE6Z8j3/+i5BVnJxEoCr9m5iUiojDkUhLy8BjL3+gLk+b8u1CZGZlO0l0bEZV+vd8vZnzl6mzuzf16nr+Jpe+z4TXpbv/bPC//rERMj1/3pm7vPwC9UKZlJyK5JR0pGgvmGf3unCpouUvrIFrbCEgfStTZft3574jGDluGqaMGwGDn/WzBb/N65S+lamy/SsNbKt9mnPnTVejScM6OHE6BoOeGYtlqzfLJk4OFpC+lamy/Rsdm6AiqFE9CP1uvha39+mOb+YtxbhPv1PrOXOsgPStTJXt35Ktly/Bffb1Ajz/6H3nnLwqWcZVl5nwumrPl4h7w5ZdeGXsl3hrxGBc2bltiS1QH3lNGvUEfps1Dh4e7pj8zYJztp9/x1f7iKwi5c/fn/etL2CN/l24ZJ06Y7BkxV94f/Jc/L7yb8gXJWQ5JTXd+o1mjRYLWKN/5WByedPTD/XDsAG34pPRz0DuL9D6XbZxcpyAtfpXInhm6F3ofW1n3N33Wrz69AP4TXs+y+UO4D+HCVizfyUIuexMPqnteVVHuVvFyVi7M+E1Vn9WOBo5gzPsxYl49+WHce9t15W5v8lkQrNGdRFVdKagzIJFG0ymipUv2o03VhawVv/Kl5nuuPEqdd2fXPsnX3D08fZU993d+TJi5W6zuDpr9W9pB5Qz+WnpWaVt4jo7CVirf+VLTdLkyFMxcqOm3Nw8pGdkoqBA3eXMAQLW6l9z009o/Ttr/h/a2d17YTKZzKt5WyTAv1RFEK54s2jZBowYNQWvPPUALu/YGiej4tQkL4KpaRmY9MUPOHL8NHK0F8Ydew5hwZL16HJJq2Iq2Xfi1HnqviXlVUHO7CZgzf69umsHdeZPzv7JdO0VlyC0Vghk2c/Xx24x8UBnBazZv1Lrh1/+iENHT6rnuwxPOOfn5bjq8vayiZMDBKzZv/LF5Ku7tsdn2id08vp+/GQMfvptLW64pjPc3JgYOaB7Yc3+Nbd/8rcL0eXSVhd8Umve7uq3THhd+BEgSayEP+6z79D7/heKp2Wrt6h3hxu37kbfQa/i0usfxgNPjFYfhQ2570bZRU1Hjp/CKS1JljsmkwnllZdynOwnYM3+tV+reSRLBazdv3/9swe3DRmpnu/3Pfq2er4PvrePpc1hOSsLWLt/X392kPoBIRmb9ab+L6lhKF9/dqCVW+3S1VUoeGv37/5DJ9T3cIYPvatC7XClwkx4Xam3z4tVxuDdvfpbnD/JF1fkI+v5X72Nzb9PhYzBu2XJFxjzylB4e3kW17Lg63cxadST6r4l5VVBzuwmYM3+Pb/RcvmLPD7OX8/79hOwdv/O++It/LV4inq+b136pXq++3hz2Cr79ei5R7J2/zaoWwvynF01/yOsW/gpvv7wZcjwVecelffsJWDt/m3ZvKH6W96xXZi9QtDdcZjw6q7L7NtgSWQb1Q+Fn6+3RQeuaHmLKjVKISeMg/3lhJ1ixSZVtH9lHF55vsuXT63YDFZlI4GK9q80o3bNYIQEV5NFTk4uUJn+dfKQHNo8JrwO5efBKUABClCAAq4nwIgpYG8BJrz2FufxKEABClCAAhSgAAXsKsCE167cPJjlAixJAQpQgAIUoAAFrCPAhNc6jqyFAhSgAAUoYBsB1koBClRZgAlvlQlZAQUoQAEKUIACFKCAMwsw4XXm3rG8bSxJAQpQgAIUoAAFKFCGABPeMmC4mgIUoAAF9CjANlOAAhS4UIAJ74UmXEMBClCAAhSgAAUoYCABl0x4DdR/DIUCFKAABShAAQpQoBwBJrzlAHEzBShAAQMLMDQKUIACLiHAhNclum7lxzkAAAeySURBVJlBUoACFKAABShAAdcVKD/hdV0bRk4BClCAAhSgAAUoYAABJrwG6ESGQAEK2EeAR6EABShAAX0KMOHVZ7+x1RSgAAUoQAEKUMBRAro7LhNe3XUZG0wBClCAAhSgAAUoUBEBJrwV0WJZClDAcgGWpAAFKEABCjiJABNeJ+kINoMCFKAABShAAWMKMCrHCzDhdXwfsAUUoIAOBHbsOYQBT43B4j83qdu2PYZgyLPjcPxkNH5f8Tfue/RtdLnpMYz9ZA5OR8cXR5SXl48ZPy7DbYNfg+xz50OvY9nqLcXbN23djbsfeUvta97+yx8birdnZGar432/aCVeeOdzVW7g02Pxx5qtxWW4QAEKUIACFxdgwntxH26lgJ0EeBhnF0hOScP2XQfw8pgv0Kl9GF57pj8OHT2Jm/q/jLcmfoPul7fDkw/egQVL1qkE1xzPx9Pm47OvF6BHt0vx8ein0bxJfYwYNRmSQEuZ5NQ0tG/dDK8/OxCTRj2J8OYN8erYr7Bt5wHZjNzcXHXc0R/OhJvJhBGP3gN/P28899ZnSE5NV2U4owAFKECBiwsw4b24D7dSgAIUOEfg5+mjtaTzXvTvdwMevP8mte3XmWPxzMN3Yci9N+KBO3th1Ybtan18YjKmz/0djw26Te1z/dWXYdzIYfDz9cGSlX+rMn16XI63RgzGbb274YpObfDowNvU+h27D6pb82zk8IF4/43H8L87emHsq8Mg/+TssNxyooChBBgMBWwgwITXBqiskgIUMK5AYDX/4uBqhgSp5Wr+fupWZrIu8nSsLOLI8dPq9odfVqnLFuTShfsfewfpGZk4cSpGbUtMSsHIcdNw+c2Po9ttT+LWQa+q9RlZ2erWPAsODDAvIiS4mlo+HROvbjmjAAUoQIGLCzDhvbgPtzqnAFtFAacQcDNd+BLq7u5e3Da5/lbuDLqnD4YPvat4mjp+hHbW93bZhCde/Qhr/9qBUS8MwZI547FlyRfFCa0qwBkFKEABClRZ4MJX6ypXyQooQAEKUEAEGjcIlRt4erjj6q4dzpnatWyC1LQM/LfnEAbfeyNu6XUFGtUPhZ+vt9qHMwpYJsBSFKCAJQJMeC1RYhkKUIAClRBoVL82el3dCW9PmoH5i9eoSxy27tiPSV/8gI+n/YQAf1+0DmuMP9dsxebt+yDX5MpIDAlnUipxNO5CAQpQgAJlCTDhLUvGQOsZCgUoYD0Bk+lsXSa3wjsl153dWrg0+qWHce9t16mRHPoOehWDh7+nRnJo2byhKvDcsHtwJjkVDz43DkNfmAB398KXZXOdJlPhMVTh82YmU9nbzivKuxSgAAVcWqDwldWlCRg8BShAgfIF5JKE3au/RZ1aIcWF5TIEWSejLphXyigNss58P6iavxqFYceK6Vg+7wOsX/Qp1i38FDf17KqKdO/SDku/ex+LZ76Hjb9OxviRj0L2f3xQ4TW+chZY7t/cq7C82kmbybrB9/TRlvi/AgIsSgEKuKgAE14X7XiGTQEK2FfAw90ddUNroHpQtQsObDKZ0LRRXUhyfMFGrqAABShAgSoLMOE9n5D3KUABClCAAhSgAAUMJcCE11DdyWAoQAEKWE+ANVGAAhQwigATXqP0JOOgAAUoQAEKUIACFChVoIoJb6l1ciUFKEABClCAAhSgAAWcRoAJr9N0BRtCAQroWoCNpwAFKEABpxVgwuu0XcOGUYACFKAABShAAf0JOGOLmfA6Y6+wTRSgAAUoQAEKUIACVhNgwms1SlZEAQpYLsCSFKAABShAAfsJMOG1nzWPRAEKUIACFKAABc4V4D27CDDhtQszD0IBClCAAhSgAAUo4CgBJryOkudxKWC5AEtSgAIUoAAFKFAFASa8VcDjrhSgAAUoQAEK2FOAx6JA5QSY8FbOjXtRgAIUoAAFKEABCuhEgAmvTjqKzbRcgCUpQAEKUIACFKBASQEmvCU1uEwBClCAAhQwjgAjoQAFigSY8BZB8IYCFKAABShAAQpQwJgCTHiN2a+WR8WSFKAABShAAQpQwOACTHgN3sEMjwIUoAAFLBNgKQpQwLgCTHiN27eMjAIUoAAFKEABClBAE2DCqyFY/p8lKUABClCAAhSgAAX0JsCEV289xvZSgAIUcAYBtoECFKCAjgSY8Oqos9hUClCAAhSgAAUoQIGKC9gy4a14a7gHBShAAQpQgAIUoAAFrCzAhNfKoKyOAhSgwIUCXEMBClCAAo4UYMLrSH0emwIUoAAFKEABCriSgINiZcLrIHgelgIUoAAFKEABClDAPgJMeO3jzKNQgAKWC7AkBShAAQpQwKoCTHitysnKKEABClCAAhSggLUEWI+1BJjwWkuS9VCAAhSgAAUoQAEKOKUAE16n7BY2igKWC7AkBShAAQpQgAIXF2DCe3EfbqUABShAAQpQQB8CbCUFyhRgwlsmDTdQgAIUoAAFKEABChhBgAmvEXqRMVguwJIUoAAFKEABCricABNel+tyBkwBClCAAhQAaEABVxJgwutKvc1YKUABClCAAhSggAsKMOF1wU63PGSWpAAFKEABClCAAvoXYMKr/z5kBBSgAAUoYGsB1k8BCuhagAmvrruPjacABShAAQpQgAIUKE/g/wAAAP//Ob4ZrgAAAAZJREFUAwDVy+ao6jsk1AAAAABJRU5ErkJggg==", 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    " ], "text/plain": [ "Figure({\n", @@ -206,7 +206,7 @@ { "cell_type": "code", "execution_count": 5, - "id": "abd673ac", + "id": "cf8a4077", "metadata": {}, "outputs": [ { @@ -214,7 +214,7 @@ "image/png": 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", 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    " ], "text/plain": [ "Figure({\n", @@ -245,7 +245,7 @@ }, { "cell_type": "markdown", - "id": "79020f13", + "id": "14736e83", "metadata": {}, "source": [ "## Population standard deviation\n", @@ -256,7 +256,7 @@ { "cell_type": "code", "execution_count": 6, - "id": "79737b1c", + "id": "c3577cbd", "metadata": {}, "outputs": [ { diff --git a/doc/_build/jupyter_execute/index.ipynb b/doc/_build/jupyter_execute/index.ipynb index 8bf1ccd..e907d7a 100644 --- a/doc/_build/jupyter_execute/index.ipynb +++ b/doc/_build/jupyter_execute/index.ipynb @@ -3,7 +3,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "711d3111", + "id": "34a50a11", "metadata": { "tags": [ "remove-input" @@ -19,7 +19,7 @@ }, { "cell_type": "markdown", - "id": "782594ae", + "id": "2eaeb9fd", "metadata": {}, "source": [ "# moderndive (Python)\n", @@ -67,7 +67,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "dca46cd7", + "id": "68ff82a6", "metadata": {}, "outputs": [ { @@ -98,7 +98,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "2f11873a", + "id": "2614f390", "metadata": {}, "outputs": [ { @@ -143,7 +143,7 @@ { "cell_type": "code", "execution_count": 4, - "id": "708555ee", + "id": "f78cb48a", "metadata": {}, "outputs": [ { @@ -151,7 +151,7 @@ "image/png": 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    " ], "text/plain": [ "Figure({\n", @@ -199,7 +199,7 @@ }, { "cell_type": "markdown", - "id": "3851ac8f", + "id": "1ac71c3f", "metadata": {}, "source": [ "```{note}\n", diff --git a/doc/guides/regression.md b/doc/guides/regression.md index e81bf96..bfd3970 100644 --- a/doc/guides/regression.md +++ b/doc/guides/regression.md @@ -52,6 +52,16 @@ get_regression_points(model).head() # columns: ID, price, living_area, bedrooms, price_hat, residual ``` +Pass `ID=` to label rows by a column, and `newdata=` to predict on a held-out set +(a `residual` is included when the outcome is present in `newdata`): + +```{code-cell} python +train = houses.head(800) +test = houses.tail(200) +model_train = smf.ols("price ~ living_area + bedrooms", data=train.to_pandas()).fit() +get_regression_points(model_train, newdata=test).head() +``` + ## Model-fit summaries ```{code-cell} python @@ -66,6 +76,12 @@ get_correlation(houses, "price ~ living_area") # ≈ 0.759 # or: get_correlation(houses, x="living_area", y="price") ``` +Use `method=` for rank correlations (`"spearman"` or `"kendall"`): + +```{code-cell} python +get_correlation(houses, "price ~ living_area", method="spearman") +``` + Pass several predictors on the right-hand side to get one correlation per predictor (long by default; `wide=True` for one column each): diff --git a/moderndive/correlation.py b/moderndive/correlation.py index baf699a..07db223 100644 --- a/moderndive/correlation.py +++ b/moderndive/correlation.py @@ -35,29 +35,56 @@ def _parse_formula(formula: str) -> tuple[str, list[str]]: return lhs, predictors +_CORR_METHODS = ("pearson", "spearman", "kendall") + + +def _correlate(x_vals, y_vals, method: str) -> float: + """Correlation coefficient between two numpy arrays for the chosen method.""" + if method == "pearson": + return float(np.corrcoef(x_vals, y_vals)[0, 1]) + from scipy import stats + + fn = stats.spearmanr if method == "spearman" else stats.kendalltau + return float(fn(x_vals, y_vals).statistic) + + def get_correlation( data, formula: str | None = None, *, x: str | None = None, y: str | None = None, + method: str = "pearson", + na_rm: bool = True, wide: bool = False, quiet: bool = False, ) -> pl.DataFrame: - """Pearson correlation between an outcome and one or more predictors. + """Correlation between an outcome and one or more predictors. Mirrors ``moderndive::get_correlation``. Give the variables either as a formula (``"y ~ x"`` or ``"y ~ x1 + x2 + x3"``) or, for a single predictor, via ``x=`` and ``y=``. + ``method`` is ``"pearson"`` (default), ``"spearman"`` (rank correlation), or + ``"kendall"`` (rank concordance). ``na_rm`` drops rows with a null in either + column before computing (per predictor pair); set ``na_rm=False`` to keep + them (yielding ``nan`` if any are present). + With **one** predictor the result is a 1-row frame with a ``cor`` column. With **multiple** predictors the result is long by default — columns ``predictor`` and ``cor`` (one row each) — or pass ``wide=True`` for one - column per predictor. Rows with a null in either column are dropped per pair. + column per predictor. A short note points to a full pairwise correlation matrix when there are multiple predictors; silence it with ``quiet=True``. """ + if method not in _CORR_METHODS: + raise ValueError( + helpful_error( + f"method must be one of {_CORR_METHODS}, got {method!r}.", + "Use 'pearson' (linear), 'spearman' (rank), or 'kendall'.", + ) + ) df = data if isinstance(data, pl.DataFrame) else pl.from_pandas(data) if formula is not None: @@ -90,10 +117,10 @@ def get_correlation( cors: dict[str, float] = {} for predictor in predictors: - pair = df.select(predictor, outcome).drop_nulls() - cors[predictor] = float( - np.corrcoef(pair[predictor].to_numpy(), pair[outcome].to_numpy())[0, 1] - ) + pair = df.select(predictor, outcome) + if na_rm: + pair = pair.drop_nulls() + cors[predictor] = _correlate(pair[predictor].to_numpy(), pair[outcome].to_numpy(), method) if len(predictors) == 1: return pl.DataFrame({"cor": [cors[predictors[0]]]}) diff --git a/moderndive/modeling.py b/moderndive/modeling.py index d6b3bb4..c4834f5 100644 --- a/moderndive/modeling.py +++ b/moderndive/modeling.py @@ -125,11 +125,17 @@ def _predictor_vars(model) -> list[str]: return ordered +def _intercept_only_term(term: str) -> str: + """Map only the intercept term to ``intercept``; leave everything else raw.""" + return "intercept" if term in ("Intercept", "const") else term + + def get_regression_table( model, digits: int = 3, conf_level: float = 0.95, exponentiate: bool = False, + default_categorical_levels: bool = False, ) -> pl.DataFrame: """Tidy regression table: term, estimate, std_error, statistic, p_value, lower/upper_ci. @@ -140,6 +146,10 @@ def get_regression_table( coefficient estimate and its confidence interval as rate / odds ratios (``std_error``, ``statistic``, and ``p_value`` stay on the model's link scale, matching ``broom::tidy``). + + By default, categorical-predictor terms are prettified (e.g. + ``income[T.High income]`` → ``income: High income``). Pass + ``default_categorical_levels=True`` to keep the raw statsmodels term names. """ _check_model(model) conf = np.asarray(model.conf_int(alpha=1 - conf_level), dtype=float) @@ -147,9 +157,10 @@ def get_regression_table( lower, upper = conf[:, 0], conf[:, 1] if exponentiate: estimate, lower, upper = np.exp(estimate), np.exp(lower), np.exp(upper) + name_fn = _intercept_only_term if default_categorical_levels else _clean_term table = pl.DataFrame( { - "term": [_clean_term(t) for t in _term_names(model)], + "term": [name_fn(t) for t in _term_names(model)], "estimate": estimate, "std_error": np.asarray(model.bse, dtype=float), "statistic": np.asarray(model.tvalues, dtype=float), @@ -162,7 +173,9 @@ def get_regression_table( return table.with_columns(pl.col(numeric).round(digits)) -def get_regression_points(model, digits: int = 3) -> pl.DataFrame: +def get_regression_points( + model, digits: int = 3, *, newdata=None, ID: str | None = None +) -> pl.DataFrame: """Fitted values + residuals per observation (~ ``broom::augment``). Columns: ``ID``, the outcome, each original predictor, ``_hat``, @@ -172,8 +185,16 @@ def get_regression_points(model, digits: int = 3) -> pl.DataFrame: (``poly()``, ``scale()``, ``I()``) are shown as their original columns rather than leaking basis matrices. For GLMs, fitted values and residuals are on the response scale (e.g. probabilities for logistic regression). + + Pass ``newdata`` (a polars/pandas frame) to apply the model to new + observations: predictions are returned, plus a ``residual`` if the outcome is + present in ``newdata``. ``ID`` names a column to use as the identifier (placed + first); without it, ``ID`` is ``1..n``. """ _check_model(model) + if newdata is not None: + return _points_newdata(model, newdata, digits, ID) + name, name_hat, out = ( _points_columns_formula(model) if _has_formula_frame(model) @@ -187,8 +208,74 @@ def get_regression_points(model, digits: int = 3) -> pl.DataFrame: out[name_hat] = fitted out["residual"] = residual - df = pl.DataFrame(out).drop_nulls().with_row_index("ID", offset=1) - df = df.with_columns(pl.col("ID").cast(pl.Int64)) + if ID is not None: + out = {ID: _id_values(model, ID), **out} + df = pl.DataFrame(out).drop_nulls() + if ID is None: + df = df.with_row_index("ID", offset=1).with_columns(pl.col("ID").cast(pl.Int64)) + df = df.select("ID", *[c for c in df.columns if c != "ID"]) + float_cols = [c for c, dt in df.schema.items() if dt.is_float()] + return df.with_columns(pl.col(float_cols).round(digits)) + + +def _id_values(model, ID: str): + """Pull the ID column from the model's source frame (formula API only).""" + if not _has_formula_frame(model): + raise TypeError( + helpful_error( + f"ID={ID!r} needs a formula-API model so the source data is available.", + 'Refit with smf.ols("y ~ x", data).fit(), or pass newdata=.', + ) + ) + frame = model.model.data.frame + if ID not in frame.columns: + raise ValueError( + helpful_error( + f"ID column {ID!r} is not in the model's data.", + f"Available columns: {', '.join(map(str, frame.columns))}.", + ) + ) + return np.asarray(frame[ID]) + + +def _points_newdata(model, newdata, digits: int, ID: str | None) -> pl.DataFrame: + """Apply ``model`` to ``newdata``: predictions (+ residual if outcome present).""" + nd = _to_pandas(newdata) + name, name_hat, _ = _outcome_info(model) + pvars = _predictor_vars(model) + missing = [c for c in pvars if c not in nd.columns] + if missing: + raise ValueError( + helpful_error( + f"newdata is missing predictor column(s): {', '.join(missing)}.", + f"newdata has: {', '.join(map(str, nd.columns))}.", + ) + ) + fitted = np.asarray(model.predict(nd), dtype=float) + + out = {} + if ID is not None: + if ID not in nd.columns: + raise ValueError( + helpful_error( + f"ID column {ID!r} is not in newdata.", + f"newdata has: {', '.join(map(str, nd.columns))}.", + ) + ) + out[ID] = np.asarray(nd[ID]) + has_outcome = name in nd.columns + if has_outcome: + out[name] = np.asarray(nd[name]) + for predictor in pvars: + out[predictor] = np.asarray(nd[predictor]) + out[name_hat] = fitted + if has_outcome: + out["residual"] = np.asarray(out[name], dtype=float) - fitted + + df = pl.DataFrame(out).drop_nulls() + if ID is None: + df = df.with_row_index("ID", offset=1).with_columns(pl.col("ID").cast(pl.Int64)) + df = df.select("ID", *[c for c in df.columns if c != "ID"]) float_cols = [c for c, dt in df.schema.items() if dt.is_float()] return df.with_columns(pl.col(float_cols).round(digits)) diff --git a/moderndive/plots/models.py b/moderndive/plots/models.py index 7b7c3d9..934919c 100644 --- a/moderndive/plots/models.py +++ b/moderndive/plots/models.py @@ -65,11 +65,14 @@ def _parallel_slopes_fit(pdf, response: str, explanatory: str, by: str): return intercepts, slope, levels -def gg_parallel_slopes(data, response: str, explanatory: str, by: str, *, engine: str = "plotly"): +def gg_parallel_slopes( + data, response: str, explanatory: str, by: str, *, alpha: float = 1.0, engine: str = "plotly" +): """Scatterplot with a parallel-slopes regression model overlaid. Fits ``response ~ explanatory + C(by)`` (one common slope, a separate intercept per level of ``by``) and draws one fitted line per group over the data. + ``alpha`` sets the point transparency (0–1), useful when points overlap. """ engine = _resolve_engine(engine) pdf = _to_pandas(data, [response, explanatory, by]) @@ -80,7 +83,7 @@ def gg_parallel_slopes(data, response: str, explanatory: str, by: str, *, engine if engine == "plotly": import plotly.express as px - fig = px.scatter(pdf, x=explanatory, y=response, color=by) + fig = px.scatter(pdf, x=explanatory, y=response, color=by, opacity=alpha) for i, lvl in enumerate(levels): b = intercepts[lvl] fig.add_scatter( @@ -98,7 +101,7 @@ def gg_parallel_slopes(data, response: str, explanatory: str, by: str, *, engine return ( ggplot(pdf, aes(x=explanatory, y=response, color=by)) - + geom_point() + + geom_point(alpha=alpha) + geom_parallel_slopes(pdf, response, explanatory, by) + labs(x=explanatory, y=response, title="Parallel slopes model") + theme_light() diff --git a/tests/test_arg_parity_moderndive.py b/tests/test_arg_parity_moderndive.py new file mode 100644 index 0000000..18da442 --- /dev/null +++ b/tests/test_arg_parity_moderndive.py @@ -0,0 +1,158 @@ +"""Tests for the moderndive R argument-parity additions: + +- get_correlation(method=, na_rm=) +- get_regression_points(newdata=, ID=) +- get_regression_table(default_categorical_levels=) +- gg_parallel_slopes(alpha=) +""" + +from __future__ import annotations + +import math + +import numpy as np +import plotly.graph_objects as go +import polars as pl +import pytest +import statsmodels.formula.api as smf +from plotnine import ggplot +from scipy import stats + +import moderndive as md +from moderndive import get_correlation, get_regression_points, get_regression_table + + +@pytest.fixture(scope="module") +def houses(): + return md.load_saratoga_houses() + + +# ============================ get_correlation ============================ + + +@pytest.mark.parametrize("method", ["pearson", "spearman", "kendall"]) +def test_get_correlation_methods_match_scipy(houses, method): + x = houses["living_area"].to_numpy() + y = houses["price"].to_numpy() + got = get_correlation(houses, "price ~ living_area", method=method).item() + if method == "pearson": + expected = float(np.corrcoef(x, y)[0, 1]) + elif method == "spearman": + expected = float(stats.spearmanr(x, y).statistic) + else: + expected = float(stats.kendalltau(x, y).statistic) + assert got == pytest.approx(expected) + + +def test_get_correlation_method_applies_to_multi(houses): + out = get_correlation(houses, "price ~ living_area + bedrooms", method="spearman", quiet=True) + expected = float( + stats.spearmanr(houses["bedrooms"].to_numpy(), houses["price"].to_numpy()).statistic + ) + assert out.filter(pl.col("predictor") == "bedrooms")["cor"].item() == pytest.approx(expected) + + +def test_get_correlation_bad_method(houses): + with pytest.raises(ValueError, match="method must be one of"): + get_correlation(houses, "price ~ living_area", method="bogus") + + +def test_get_correlation_na_rm_false_yields_nan(): + df = pl.DataFrame({"y": [1.0, 2.0, None, 4.0], "x": [1.0, 2.0, 3.0, 4.0]}) + # default drops nulls and gives a real number + assert math.isfinite(get_correlation(df, "y ~ x").item()) + # na_rm=False keeps the null → nan + assert math.isnan(get_correlation(df, "y ~ x", na_rm=False).item()) + + +# ============================ get_regression_points ===================== + + +@pytest.fixture(scope="module") +def fit_train_test(houses): + train = houses.head(800) + test = houses.tail(200) + model = smf.ols("price ~ living_area + bedrooms", data=train.to_pandas()).fit() + return model, test + + +def test_points_newdata_with_outcome(fit_train_test): + model, test = fit_train_test + out = get_regression_points(model, newdata=test) + assert out.columns == ["ID", "price", "living_area", "bedrooms", "price_hat", "residual"] + assert out.height == test.height + + +def test_points_newdata_without_outcome(fit_train_test): + model, test = fit_train_test + out = get_regression_points(model, newdata=test.drop("price")) + # no outcome → predictions only, no residual + assert out.columns == ["ID", "living_area", "bedrooms", "price_hat"] + + +def test_points_newdata_with_id(fit_train_test): + model, test = fit_train_test + test_id = test.with_row_index("house_id") + out = get_regression_points(model, newdata=test_id, ID="house_id") + assert out.columns[0] == "house_id" + + +def test_points_newdata_missing_predictor(fit_train_test): + model, test = fit_train_test + with pytest.raises(ValueError, match="missing predictor"): + get_regression_points(model, newdata=test.select("price")) + + +def test_points_newdata_bad_id(fit_train_test): + model, test = fit_train_test + with pytest.raises(ValueError, match="ID column"): + get_regression_points(model, newdata=test, ID="nope") + + +def test_points_id_from_source_column(houses): + h = houses.with_row_index("home_id") + model = smf.ols("price ~ living_area", data=h.to_pandas()).fit() + out = get_regression_points(model, ID="home_id") + assert out.columns[0] == "home_id" + assert out.height == h.height + + +def test_points_id_not_in_source(houses): + model = smf.ols("price ~ living_area", data=houses.to_pandas()).fit() + with pytest.raises(ValueError, match="ID column"): + get_regression_points(model, ID="nope") + + +def test_points_id_requires_formula_model(): + import statsmodels.api as sm + + X = sm.add_constant(np.arange(1.0, 11.0)) + model = sm.OLS(np.arange(1.0, 11.0) * 2, X).fit() + with pytest.raises(TypeError, match="formula-API"): + get_regression_points(model, ID="whatever") + + +# ============================ get_regression_table ====================== + + +def test_default_categorical_levels(houses): + un = md.load_un_member_states_2024().to_pandas() + model = smf.ols("life_expectancy_2022 ~ gdp_per_capita + C(continent)", data=un).fit() + pretty = get_regression_table(model)["term"].to_list() + raw = get_regression_table(model, default_categorical_levels=True)["term"].to_list() + assert any(t.startswith("continent: ") for t in pretty) + assert any("C(continent)[T." in t for t in raw) + # intercept is mapped in both + assert "intercept" in pretty and "intercept" in raw + + +# ============================ gg_parallel_slopes alpha ================== + + +@pytest.mark.parametrize("engine", ["plotly", "plotnine"]) +def test_gg_parallel_slopes_alpha(engine): + evals = md.load_evals() + fig = md.gg_parallel_slopes( + evals, response="score", explanatory="age", by="gender", alpha=0.3, engine=engine + ) + assert isinstance(fig, go.Figure if engine == "plotly" else ggplot) From 2749a4232bc78f5d74c26485b7d9a61bb683fa18 Mon Sep 17 00:00:00 2001 From: Chester Ismay Date: Sat, 20 Jun 2026 14:01:00 -0700 Subject: [PATCH 2/3] docs: rebuild HTML after merging main (#19) Co-Authored-By: Claude Opus 4.8 Claude-Session: https://claude.ai/code/session_017CTL1QSTg1DmDUpqYuPEog --- doc/_build/html/.doctrees/api.doctree | Bin 3822349 -> 3861953 bytes doc/_build/html/.doctrees/environment.pickle | Bin 3539197 -> 3549058 bytes .../html/.doctrees/getting-started.doctree | Bin 36590 -> 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    Source code for moderndive.infer.core

             null: str,
             *,
             mu: float | None = None,
    +        med: float | None = None,
             p: float | dict | None = None,
             sigma: float | None = None,
         ) -> Hypothesis:
             if null not in ("point", "independence", "paired independence"):
                 raise ValueError("null must be 'point', 'independence', or 'paired independence'")
    -        return Hypothesis(spec=self, null=null, mu=mu, p=p, sigma=sigma)
    +        return Hypothesis(spec=self, null=null, mu=mu, med=med, p=p, sigma=sigma)
     
         def generate(
    -        self, reps: int, type: str = "bootstrap", *, seed: int | None = None
    +        self,
    +        reps: int,
    +        type: str = "bootstrap",
    +        *,
    +        variables: str | None = None,
    +        seed: int | None = None,
         ) -> GeneratedReplicates:
    -        return _generate(self, hypothesis=None, reps=reps, type=type, seed=seed)
    +        return _generate(
    +            self, hypothesis=None, reps=reps, type=type, variables=variables, seed=seed
    +        )
     
     
    [docs] @@ -382,8 +390,8 @@

    Source code for moderndive.infer.core

     
     
         # British-spelling alias (infer parity).
    -    def hypothesise(self, null: str, *, mu=None, p=None, sigma=None):
    -        return self.hypothesize(null, mu=mu, p=p, sigma=sigma)
    +    def hypothesise(self, null: str, *, mu=None, med=None, p=None, sigma=None):
    +        return self.hypothesize(null, mu=mu, med=med, p=p, sigma=sigma)
     
     
    [docs] @@ -408,15 +416,23 @@

    Source code for moderndive.infer.core

         spec: Specification
         null: str
         mu: float | None = None
    +    med: float | None = None
         p: float | dict | None = None
         sigma: float | None = None
     
         def generate(
    -        self, reps: int, type: str | None = None, *, seed: int | None = None
    +        self,
    +        reps: int,
    +        type: str | None = None,
    +        *,
    +        variables: str | None = None,
    +        seed: int | None = None,
         ) -> GeneratedReplicates:
             if type is None:
                 type = "bootstrap" if self.null == "point" else "permute"
    -        return _generate(self.spec, hypothesis=self, reps=reps, type=type, seed=seed)
    +        return _generate(
    +            self.spec, hypothesis=self, reps=reps, type=type, variables=variables, seed=seed
    +        )
     
     
    [docs] @@ -452,6 +468,7 @@

    Source code for moderndive.infer.core

         hyp_mu: float | None = None
         hyp_p: float | dict | None = None
         hyp_sigma: float | None = None
    +    variables: str | None = None
     
         # --- single-variable / two-group statistics ---------------------------
         def calculate(self, stat, *, order: tuple[object, object] | None = None) -> Distribution:
    @@ -471,8 +488,12 @@ 

    Source code for moderndive.infer.core

                     resp = resp_full * plan  # randomly flip the sign of each difference
                     expl = None
                 elif self.type == "permute":
    -                resp = resp_full
    -                expl = None if expl_full is None else expl_full[plan]
    +                if self.variables is not None and self.variables == spec.response:
    +                    resp = resp_full[plan]  # permute the response instead of the explanatory
    +                    expl = expl_full
    +                else:
    +                    resp = resp_full
    +                    expl = None if expl_full is None else expl_full[plan]
                 else:  # draw
                     resp = plan  # the simulated response array
                     expl = None
    @@ -541,18 +562,22 @@ 

    Source code for moderndive.infer.core

         hypothesis: Hypothesis | None,
         reps: int,
         type: str,
    +    variables: str | None = None,
         seed: int | None,
     ) -> GeneratedReplicates:
         if type == "simulate":  # infer accepts "simulate" as an alias for "draw"
             type = "draw"
         if type not in ("bootstrap", "permute", "draw"):
             raise ValueError("type must be 'bootstrap', 'permute', 'draw', or 'simulate'")
    +    if variables is not None and variables not in (spec.response, spec.explanatory):
    +        raise ValueError(f"variables={variables!r} must be the response or explanatory variable.")
         rng = _resample.make_rng(seed)
         n = spec.data.height
         null = None if hypothesis is None else hypothesis.null
         hyp_mu = None if hypothesis is None else hypothesis.mu
         hyp_p = None if hypothesis is None else hypothesis.p
         hyp_sigma = None if hypothesis is None else hypothesis.sigma
    +    hyp_med = None if hypothesis is None else hypothesis.med
         shifted = None
         plans: list[np.ndarray] = []
     
    @@ -587,6 +612,10 @@ 

    Source code for moderndive.infer.core

                 shifted = _resample.shift_for_point_null(
                     spec._response_values, stat="mean", mu=hypothesis.mu, p=None
                 )
    +        elif hypothesis is not None and hypothesis.null == "point" and hyp_med is not None:
    +            shifted = _resample.shift_for_point_null(
    +                spec._response_values, stat="median", mu=hyp_med, p=None
    +            )
             for _ in range(reps):
                 plans.append(rng.integers(0, n, size=n))
     
    @@ -599,6 +628,7 @@ 

    Source code for moderndive.infer.core

             hyp_mu=hyp_mu,
             hyp_p=hyp_p,
             hyp_sigma=hyp_sigma,
    +        variables=variables,
         )
     
     
    @@ -779,6 +809,7 @@ 

    Source code for moderndive.infer.core

         order: tuple[object, object] | None = None,
         null: str | None = None,
         mu: float | None = None,
    +    med: float | None = None,
         p: float | dict | None = None,
         sigma: float | None = None,
     ) -> ObservedStatistic:
    @@ -790,7 +821,9 @@ 

    Source code for moderndive.infer.core

             data, response=response, explanatory=explanatory, formula=formula, success=success
         )
         if null is not None:
    -        return spec.hypothesize(null=null, mu=mu, p=p, sigma=sigma).calculate(stat, order=order)
    +        return spec.hypothesize(null=null, mu=mu, med=med, p=p, sigma=sigma).calculate(
    +            stat, order=order
    +        )
         return spec.calculate(stat, order=order, mu=mu, p=p, sigma=sigma)
    diff --git a/doc/_build/html/_modules/moderndive/infer/viz.html b/doc/_build/html/_modules/moderndive/infer/viz.html index b6478d7..2174527 100644 --- a/doc/_build/html/_modules/moderndive/infer/viz.html +++ b/doc/_build/html/_modules/moderndive/infer/viz.html @@ -305,6 +305,7 @@

    Source code for moderndive.infer.viz

         lower: float | None = None
         upper: float | None = None
         color: str | None = None
    +    fill: str | None = None
         per_term: tuple | None = None
     
     
    @@ -434,6 +435,7 @@ 

    Source code for moderndive.infer.viz

         *,
         engine: str = "plotly",
         method: str = "simulation",
    +    dens_color: str | None = None,
         shade_pvalue=None,
         shade_ci=None,
         **kwargs,
    @@ -443,6 +445,7 @@ 

    Source code for moderndive.infer.viz

         ``method`` is ``"simulation"`` (histogram, default), ``"theoretical"`` (a
         normal-approximation density curve), or ``"both"`` (histogram in density units
         overlaid with the normal curve), mirroring R ``infer``'s ``visualize(method=)``.
    +    ``dens_color`` sets the theoretical-curve color (for ``"theoretical"``/``"both"``).
         Pass ``shade_pvalue=``/``shade_ci=`` to shade in one call, or compose with ``+``.
         """
         engine = C.resolve_engine(engine)
    @@ -450,11 +453,11 @@ 

    Source code for moderndive.infer.viz

         if engine == "plotnine":
             from . import _plotnine as P
     
    -        fig = P.visualize_gg(distribution, bins, method)
    +        fig = P.visualize_gg(distribution, bins, method, dens_color)
         else:
             from . import _plotly as PX
     
    -        fig = PX.visualize_px(distribution, bins, method)
    +        fig = PX.visualize_px(distribution, bins, method, dens_color)
     
         plot = InferPlot(fig, engine)
         if shade_pvalue is not None:
    @@ -543,7 +546,9 @@ 

    Source code for moderndive.infer.viz

     
     
    [docs] -def shade_p_value(obs_stat, direction: str, *, color: str | None = None) -> ShadeSpec: +def shade_p_value( + obs_stat, direction: str, *, color: str | None = None, fill: str | None = None +) -> ShadeSpec: """A p-value shading spec; add it to a ``visualize()`` plot with ``+``. ``direction`` ∈ {right/greater, left/less, two-sided}. For a faceted @@ -553,15 +558,23 @@

    Source code for moderndive.infer.viz

         per = _per_term_obs(obs_stat)
         if per is not None:
             return ShadeSpec(
    -            kind="p_value", direction=direction, color=color, per_term=tuple(sorted(per.items()))
    +            kind="p_value",
    +            direction=direction,
    +            color=color,
    +            fill=fill,
    +            per_term=tuple(sorted(per.items())),
             )
    -    return ShadeSpec(kind="p_value", obs_stat=float(obs_stat), direction=direction, color=color)
    + return ShadeSpec( + kind="p_value", obs_stat=float(obs_stat), direction=direction, color=color, fill=fill + )
    [docs] -def shade_confidence_interval(endpoints, color: str | None = None) -> ShadeSpec: +def shade_confidence_interval( + endpoints, color: str | None = None, fill: str | None = None +) -> ShadeSpec: """A confidence-interval shading spec; add it to a ``visualize()`` plot with ``+``. ``endpoints`` is a CI DataFrame (``lower_ci``/``upper_ci``) or a ``(lower, upper)`` @@ -571,10 +584,13 @@

    Source code for moderndive.infer.viz

         per = _per_term_ci(endpoints)
         if per is not None:
             return ShadeSpec(
    -            kind="confidence_interval", color=color, per_term=tuple(sorted(per.items()))
    +            kind="confidence_interval",
    +            color=color,
    +            fill=fill,
    +            per_term=tuple(sorted(per.items())),
             )
         lower, upper = C.ci_endpoints(endpoints)
    -    return ShadeSpec(kind="confidence_interval", lower=lower, upper=upper, color=color)
    + return ShadeSpec(kind="confidence_interval", lower=lower, upper=upper, color=color, fill=fill)
    diff --git a/doc/_build/html/_modules/moderndive/infer/wrappers.html b/doc/_build/html/_modules/moderndive/infer/wrappers.html index dc032f3..8880f54 100644 --- a/doc/_build/html/_modules/moderndive/infer/wrappers.html +++ b/doc/_build/html/_modules/moderndive/infer/wrappers.html @@ -332,6 +332,26 @@

    Source code for moderndive.infer.wrappers

     
     
     
    +def _wilson_cc(x: int, n: int, conf_level: float, correct: bool) -> tuple[float, float]:
    +    """Wilson score interval for one proportion (R prop.test's CI; cc = Yates)."""
    +    from scipy import stats
    +
    +    z = float(stats.norm.ppf((1 + conf_level) / 2))
    +    phat = x / n
    +    if correct:
    +        lo = (
    +            2 * x + z**2 - 1 - z * np.sqrt(z**2 - 2 - 1 / n + 4 * phat * (n * (1 - phat) + 1))
    +        ) / (2 * (n + z**2))
    +        hi = (
    +            2 * x + z**2 + 1 + z * np.sqrt(z**2 + 2 - 1 / n + 4 * phat * (n * (1 - phat) - 1))
    +        ) / (2 * (n + z**2))
    +        return max(0.0, lo), min(1.0, hi)
    +    denom = 1 + z**2 / n
    +    center = (phat + z**2 / (2 * n)) / denom
    +    half = z * np.sqrt(phat * (1 - phat) / n + z**2 / (4 * n**2)) / denom
    +    return center - half, center + half
    +
    +
     
    [docs] def prop_test( @@ -344,19 +364,34 @@

    Source code for moderndive.infer.wrappers

         order: tuple[object, object] | None = None,
         p: float | None = None,
         alternative: str = "two-sided",
    +    z: bool = False,
    +    correct: bool = True,
    +    conf_int: bool = True,
    +    conf_level: float = 0.95,
     ) -> pl.DataFrame:
    -    """One- or two-proportion z-test (normal approximation), tidy output."""
    +    """Tidy one- or two-proportion test, mirroring R ``infer::prop_test``.
    +
    +    By default reports the **chi-square** statistic (like R's ``prop.test``) with a
    +    ``chisq_df`` column; pass ``z=True`` for the signed **z** statistic instead.
    +    ``correct`` applies Yates' continuity correction. With ``conf_int=True``
    +    (default) the output includes a ``conf_level`` confidence interval — on the
    +    proportion (one-sample) or on the difference in proportions (two-sample).
    +    """
         from scipy import stats
     
         resp, expl = _resolve(formula, response, explanatory)
    +
         if expl is None:
             col = data[resp].drop_nulls()
             n = col.len()
             x = int((col == success).sum())
    -        p0 = 0.5 if p is None else p
             phat = x / n
    -        se = np.sqrt(p0 * (1 - p0) / n)
    -        z = (phat - p0) / se
    +        p0 = 0.5 if p is None else p
    +        diff = phat - p0
    +        cc = min(0.5 / n, abs(diff)) if correct else 0.0
    +        zstat = np.sign(diff) * (abs(diff) - cc) / np.sqrt(p0 * (1 - p0) / n)
    +        estimate = phat
    +        ci_bounds = _wilson_cc(x, n, conf_level, correct)  # R uses Wilson for one proportion
         else:
             if order is None:
                 raise ValueError("two-proportion prop_test requires order=(group1, group2)")
    @@ -366,16 +401,35 @@ 

    Source code for moderndive.infer.wrappers

             b = sub.filter(pl.col(expl) == g2)[resp]
             xa, xb = int((a == success).sum()), int((b == success).sum())
             na, nb = a.len(), b.len()
    +        pa, pb = xa / na, xb / nb
    +        diff = pa - pb
             ppool = (xa + xb) / (na + nb)
    -        se = np.sqrt(ppool * (1 - ppool) * (1 / na + 1 / nb))
    -        z = (xa / na - xb / nb) / se
    +        cc = min(0.5 * (1 / na + 1 / nb), abs(diff)) if correct else 0.0
    +        zstat = np.sign(diff) * (abs(diff) - cc) / np.sqrt(ppool * (1 - ppool) * (1 / na + 1 / nb))
    +        se_est = np.sqrt(pa * (1 - pa) / na + pb * (1 - pb) / nb)
    +        estimate = diff
    +        crit = float(stats.norm.ppf(1 - (1 - conf_level) / 2))
    +        half = crit * se_est + cc  # R's prop.test widens the 2-sample diff CI by the correction
    +        ci_bounds = (diff - half, diff + half)
    +
         if alternative in _GREATER:
    -        pval = float(stats.norm.sf(z))
    +        pval = float(stats.norm.sf(zstat))
         elif alternative in _LESS:
    -        pval = float(stats.norm.cdf(z))
    +        pval = float(stats.norm.cdf(zstat))
         else:
    -        pval = float(2 * stats.norm.sf(abs(z)))
    -    return pl.DataFrame({"statistic": [float(z)], "p_value": [pval], "alternative": [alternative]})
    + pval = float(2 * stats.norm.sf(abs(zstat))) + + statistic = float(zstat) if z else float(zstat**2) + out = {"statistic": [statistic]} + if not z: + out["chisq_df"] = [1] + out["p_value"] = [pval] + out["estimate"] = [float(estimate)] + out["alternative"] = [alternative] + if conf_int: + out["lower_ci"] = [float(ci_bounds[0])] + out["upper_ci"] = [float(ci_bounds[1])] + return pl.DataFrame(out)
    diff --git a/doc/_build/html/_modules/moderndive/sampling.html b/doc/_build/html/_modules/moderndive/sampling.html index cfe52b5..f45f93b 100644 --- a/doc/_build/html/_modules/moderndive/sampling.html +++ b/doc/_build/html/_modules/moderndive/sampling.html @@ -251,9 +251,9 @@

    Source code for moderndive.sampling

     """Repeated sampling helpers for the sampling activities (Chapter 7).
     
     Mirrors the R ``moderndive`` functions ``rep_slice_sample()`` /
    -``rep_sample_n()``: draw ``reps`` samples of size ``n`` from a data frame and
    -stack them into one long data frame with a ``replicate`` column (1..reps), so a
    -grouped summary computes one statistic per virtual sample.
    +``rep_sample_n()``: draw ``reps`` samples from a data frame and stack them into
    +one long data frame with a ``replicate`` column (1..reps), so a grouped summary
    +computes one statistic per virtual sample.
     """
     
     from __future__ import annotations
    @@ -261,55 +261,90 @@ 

    Source code for moderndive.sampling

     import numpy as np
     import polars as pl
     
    +from ._messaging import helpful_error
    +
     __all__ = ["rep_slice_sample", "rep_sample_n"]
     
     
    +def _weights(data: pl.DataFrame, weight_by) -> np.ndarray | None:
    +    """Normalize ``weight_by`` (a column name or a sequence) into probabilities."""
    +    if weight_by is None:
    +        return None
    +    w = data[weight_by].to_numpy() if isinstance(weight_by, str) else np.asarray(weight_by, float)
    +    total = w.sum()
    +    if total <= 0:
    +        raise ValueError(helpful_error("weight_by must contain positive weights that sum to > 0."))
    +    return w / total
    +
    +
     
    [docs] def rep_slice_sample( data: pl.DataFrame, - n: int, + n: int | None = None, + *, + prop: float | None = None, reps: int = 1, replace: bool = False, + weight_by=None, seed: int | None = None, ) -> pl.DataFrame: - """Take ``reps`` samples of size ``n`` from ``data``. + """Take ``reps`` samples from ``data``. - Returns a polars DataFrame with a leading ``replicate`` column identifying - which sample each row belongs to. Set ``replace=True`` for sampling with - replacement (e.g. bootstrap-style). Pass ``seed`` for reproducibility. + Give the sample size as either ``n`` (a count) or ``prop`` (a fraction of the + rows, e.g. ``prop=0.5``). Returns a polars DataFrame with a leading + ``replicate`` column identifying which sample each row belongs to. Set + ``replace=True`` for sampling with replacement (bootstrap-style). ``weight_by`` + gives unequal selection probabilities — a column name or a sequence of + weights. Pass ``seed`` for reproducibility. """ - rng = np.random.default_rng(seed) + if (n is None) == (prop is None): + raise ValueError( + helpful_error( + "Specify exactly one of n= (a count) or prop= (a fraction).", + "e.g. rep_slice_sample(df, n=50) or rep_slice_sample(df, prop=0.5).", + ) + ) n_rows = data.height - if not replace and n > n_rows: - raise ValueError(f"cannot take a sample of size {n} without replacement from {n_rows} rows") + size = n if n is not None else int(round(prop * n_rows)) + if not replace and size > n_rows: + raise ValueError( + f"cannot take a sample of size {size} without replacement from {n_rows} rows" + ) + probs = _weights(data, weight_by) + rng = np.random.default_rng(seed) samples = [] for replicate in range(1, reps + 1): - idx = rng.choice(n_rows, size=n, replace=replace) + idx = rng.choice(n_rows, size=size, replace=replace, p=probs) sample = data[idx.tolist()].with_columns( pl.lit(replicate, dtype=pl.Int64).alias("replicate") ) samples.append(sample) combined = pl.concat(samples) - # Put `replicate` first. return combined.select(["replicate", *data.columns])
    -# The older moderndive name is a thin alias with the same behavior.
    [docs] def rep_sample_n( data: pl.DataFrame, n: int, + *, reps: int = 1, replace: bool = False, + prob=None, seed: int | None = None, ) -> pl.DataFrame: - """Alias for :func:`rep_slice_sample` (older moderndive name).""" - return rep_slice_sample(data, n=n, reps=reps, replace=replace, seed=seed)
    + """Take ``reps`` samples of size ``n`` (older moderndive name). + + Like :func:`rep_slice_sample`, but the sample size is always the count ``n`` + and unequal selection weights are passed as ``prob`` (a column name or a + sequence), matching the R ``rep_sample_n`` signature. + """ + return rep_slice_sample(data, n=n, reps=reps, replace=replace, weight_by=prob, seed=seed)
    diff --git a/doc/_build/html/api.html b/doc/_build/html/api.html index e6f32cc..dd75836 100644 --- a/doc/_build/html/api.html +++ b/doc/_build/html/api.html @@ -286,7 +286,7 @@

    Inference grammar
    -moderndive.observe(data, *, response=None, explanatory=None, formula=None, success=None, stat='mean', order=None, null=None, mu=None, p=None, sigma=None)[source]
    +moderndive.observe(data, *, response=None, explanatory=None, formula=None, success=None, stat='mean', order=None, null=None, mu=None, med=None, p=None, sigma=None)[source]

    Shortcut for specify() |> [hypothesize()] |> calculate().

    Mirrors R infer::observe() — compute an observed statistic in one call.

    @@ -304,6 +304,7 @@

    Inference grammartuple[object, object] | None)

  • null (str | None)

  • mu (float | None)

  • +
  • med (float | None)

  • p (float | dict | None)

  • sigma (float | None)

  • @@ -393,13 +394,14 @@

    Inference grammar
    -class moderndive.infer.core.Hypothesis(spec, null, mu=None, p=None, sigma=None)[source]
    +class moderndive.infer.core.Hypothesis(spec, null, mu=None, med=None, p=None, sigma=None)[source]
    Parameters:
    @@ -423,7 +425,7 @@

    Inference grammar
    -class moderndive.infer.core.GeneratedReplicates(spec, type, null, plans, shifted_response=None, hyp_mu=None, hyp_p=None, hyp_sigma=None)[source]
    +class moderndive.infer.core.GeneratedReplicates(spec, type, null, plans, shifted_response=None, hyp_mu=None, hyp_p=None, hyp_sigma=None, variables=None)[source]

    Materialized resampling plan; supports both calculate() and fit().

    plans holds one numpy array per replicate: - bootstrap: row indices (with replacement) into the data, @@ -440,6 +442,7 @@

    Inference grammarfloat | None)

  • hyp_p (float | dict | None)

  • hyp_sigma (float | None)

  • +
  • variables (str | None)

  • @@ -580,11 +583,12 @@

    Getters and visualization
    -moderndive.visualize(distribution, bins=20, *, engine='plotly', method='simulation', shade_pvalue=None, shade_ci=None, **kwargs)[source]
    +moderndive.visualize(distribution, bins=20, *, engine='plotly', method='simulation', dens_color=None, shade_pvalue=None, shade_ci=None, **kwargs)[source]

    Histogram of the simulated statistics, as an InferPlot.

    method is "simulation" (histogram, default), "theoretical" (a normal-approximation density curve), or "both" (histogram in density units overlaid with the normal curve), mirroring R infer’s visualize(method=). +dens_color sets the theoretical-curve color (for "theoretical"/"both"). Pass shade_pvalue=/shade_ci= to shade in one call, or compose with +.

    Return type:
    @@ -595,6 +599,7 @@

    Getters and visualizationint)

  • engine (str)

  • method (str)

  • +
  • dens_color (str | None)

  • @@ -602,7 +607,7 @@

    Getters and visualization
    -moderndive.shade_p_value(obs_stat, direction, *, color=None)[source]
    +moderndive.shade_p_value(obs_stat, direction, *, color=None, fill=None)[source]

    A p-value shading spec; add it to a visualize() plot with +.

    direction ∈ {right/greater, left/less, two-sided}. For a faceted visualize_fit() plot, pass a per-term obs_stat — an observed @@ -615,6 +620,7 @@

    Getters and visualization

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    @@ -622,7 +628,7 @@

    Getters and visualization
    -moderndive.shade_confidence_interval(endpoints, color=None)[source]
    +moderndive.shade_confidence_interval(endpoints, color=None, fill=None)[source]

    A confidence-interval shading spec; add it to a visualize() plot with +.

    endpoints is a CI DataFrame (lower_ci/upper_ci) or a (lower, upper) tuple. For a faceted visualize_fit() plot, pass a per-term CI table (with a @@ -632,7 +638,10 @@

    Getters and visualization

    ShadeSpec

    Parameters:
    -

    color (str | None)

    +
      +
    • color (str | None)

    • +
    • fill (str | None)

    • +

    @@ -679,8 +688,13 @@

    Theory-based tests
    -moderndive.prop_test(data, *, formula=None, response=None, explanatory=None, success=None, order=None, p=None, alternative='two-sided')[source]
    -

    One- or two-proportion z-test (normal approximation), tidy output.

    +moderndive.prop_test(data, *, formula=None, response=None, explanatory=None, success=None, order=None, p=None, alternative='two-sided', z=False, correct=True, conf_int=True, conf_level=0.95)[source] +

    Tidy one- or two-proportion test, mirroring R infer::prop_test.

    +

    By default reports the chi-square statistic (like R’s prop.test) with a +chisq_df column; pass z=True for the signed z statistic instead. +correct applies Yates’ continuity correction. With conf_int=True +(default) the output includes a conf_level confidence interval — on the +proportion (one-sample) or on the difference in proportions (two-sample).

    Return type:

    DataFrame

    @@ -695,6 +709,10 @@

    Theory-based teststuple[object, object] | None)

  • p (float | None)

  • alternative (str)

  • +
  • z (bool)

  • +
  • correct (bool)

  • +
  • conf_int (bool)

  • +
  • conf_level (float)

  • @@ -987,11 +1005,14 @@

    Sampling and plotsengine="plotly" (default) or engine="plotnine".

    -moderndive.rep_slice_sample(data, n, reps=1, replace=False, seed=None)[source]
    -

    Take reps samples of size n from data.

    -

    Returns a polars DataFrame with a leading replicate column identifying -which sample each row belongs to. Set replace=True for sampling with -replacement (e.g. bootstrap-style). Pass seed for reproducibility.

    +moderndive.rep_slice_sample(data, n=None, *, prop=None, reps=1, replace=False, weight_by=None, seed=None)[source] +

    Take reps samples from data.

    +

    Give the sample size as either n (a count) or prop (a fraction of the +rows, e.g. prop=0.5). Returns a polars DataFrame with a leading +replicate column identifying which sample each row belongs to. Set +replace=True for sampling with replacement (bootstrap-style). weight_by +gives unequal selection probabilities — a column name or a sequence of +weights. Pass seed for reproducibility.

    Return type:

    DataFrame

    @@ -999,7 +1020,8 @@

    Sampling and plotsParameters:
    @@ -394,14 +393,13 @@

    Inference grammar
    -class moderndive.infer.core.Hypothesis(spec, null, mu=None, med=None, p=None, sigma=None)[source]
    +class moderndive.infer.core.Hypothesis(spec, null, mu=None, p=None, sigma=None)[source]
    Parameters:
    @@ -425,7 +423,7 @@

    Inference grammar
    -class moderndive.infer.core.GeneratedReplicates(spec, type, null, plans, shifted_response=None, hyp_mu=None, hyp_p=None, hyp_sigma=None, variables=None)[source]
    +class moderndive.infer.core.GeneratedReplicates(spec, type, null, plans, shifted_response=None, hyp_mu=None, hyp_p=None, hyp_sigma=None)[source]

    Materialized resampling plan; supports both calculate() and fit().

    plans holds one numpy array per replicate: - bootstrap: row indices (with replacement) into the data, @@ -442,7 +440,6 @@

    Inference grammarfloat | None)

  • hyp_p (float | dict | None)

  • hyp_sigma (float | None)

  • -
  • variables (str | None)

  • @@ -583,12 +580,11 @@

    Getters and visualization
    -moderndive.visualize(distribution, bins=20, *, engine='plotly', method='simulation', dens_color=None, shade_pvalue=None, shade_ci=None, **kwargs)[source]
    +moderndive.visualize(distribution, bins=20, *, engine='plotly', method='simulation', shade_pvalue=None, shade_ci=None, **kwargs)[source]

    Histogram of the simulated statistics, as an InferPlot.

    method is "simulation" (histogram, default), "theoretical" (a normal-approximation density curve), or "both" (histogram in density units overlaid with the normal curve), mirroring R infer’s visualize(method=). -dens_color sets the theoretical-curve color (for "theoretical"/"both"). Pass shade_pvalue=/shade_ci= to shade in one call, or compose with +.

    Return type:
    @@ -599,7 +595,6 @@

    Getters and visualizationint)

  • engine (str)

  • method (str)

  • -
  • dens_color (str | None)

  • @@ -607,7 +602,7 @@

    Getters and visualization
    -moderndive.shade_p_value(obs_stat, direction, *, color=None, fill=None)[source]
    +moderndive.shade_p_value(obs_stat, direction, *, color=None)[source]

    A p-value shading spec; add it to a visualize() plot with +.

    direction ∈ {right/greater, left/less, two-sided}. For a faceted visualize_fit() plot, pass a per-term obs_stat — an observed @@ -620,7 +615,6 @@

    Getters and visualization

    @@ -628,7 +622,7 @@

    Getters and visualization
    -moderndive.shade_confidence_interval(endpoints, color=None, fill=None)[source]
    +moderndive.shade_confidence_interval(endpoints, color=None)[source]

    A confidence-interval shading spec; add it to a visualize() plot with +.

    endpoints is a CI DataFrame (lower_ci/upper_ci) or a (lower, upper) tuple. For a faceted visualize_fit() plot, pass a per-term CI table (with a @@ -638,10 +632,7 @@

    Getters and visualization

    ShadeSpec

    Parameters:
    -
    +

    color (str | None)

    @@ -688,13 +679,8 @@

    Theory-based tests
    -moderndive.prop_test(data, *, formula=None, response=None, explanatory=None, success=None, order=None, p=None, alternative='two-sided', z=False, correct=True, conf_int=True, conf_level=0.95)[source]
    -

    Tidy one- or two-proportion test, mirroring R infer::prop_test.

    -

    By default reports the chi-square statistic (like R’s prop.test) with a -chisq_df column; pass z=True for the signed z statistic instead. -correct applies Yates’ continuity correction. With conf_int=True -(default) the output includes a conf_level confidence interval — on the -proportion (one-sample) or on the difference in proportions (two-sample).

    +moderndive.prop_test(data, *, formula=None, response=None, explanatory=None, success=None, order=None, p=None, alternative='two-sided')[source] +

    One- or two-proportion z-test (normal approximation), tidy output.

    Return type:

    DataFrame

    @@ -709,10 +695,6 @@

    Theory-based teststuple[object, object] | None)

  • p (float | None)

  • alternative (str)

  • -
  • z (bool)

  • -
  • correct (bool)

  • -
  • conf_int (bool)

  • -
  • conf_level (float)

  • @@ -833,7 +815,7 @@

    Theory-based tests

    -moderndive.get_regression_table(model, digits=3, conf_level=0.95, exponentiate=False, default_categorical_levels=False)[source]
    +moderndive.get_regression_table(model, digits=3, conf_level=0.95, exponentiate=False)[source]

    Tidy regression table: term, estimate, std_error, statistic, p_value, lower/upper_ci.

    model is a fitted statsmodels results object — either OLS (smf.ols("y ~ x", data).fit()) or GLM (smf.glm(...).fit()).

    @@ -841,9 +823,6 @@

    Regression & summary helpersstd_error, statistic, and p_value stay on the model’s link scale, matching broom::tidy).

    -

    By default, categorical-predictor terms are prettified (e.g. -income[T.High income]income: High income). Pass -default_categorical_levels=True to keep the raw statsmodels term names.

    Return type:

    DataFrame

    @@ -853,7 +832,6 @@

    Regression & summary helpersint)

  • conf_level (float)

  • exponentiate (bool)

  • -
  • default_categorical_levels (bool)

  • @@ -861,7 +839,7 @@

    Regression & summary helpers
    -moderndive.get_regression_points(model, digits=3, *, newdata=None, ID=None)[source]
    +moderndive.get_regression_points(model, digits=3)[source]

    Fitted values + residuals per observation (~ broom::augment).

    Columns: ID, the outcome, each original predictor, <outcome>_hat, residual. In-formula transformations are handled gracefully: a @@ -870,19 +848,12 @@

    Regression & summary helperspoly(), scale(), I()) are shown as their original columns rather than leaking basis matrices. For GLMs, fitted values and residuals are on the response scale (e.g. probabilities for logistic regression).

    -

    Pass newdata (a polars/pandas frame) to apply the model to new -observations: predictions are returned, plus a residual if the outcome is -present in newdata. ID names a column to use as the identifier (placed -first); without it, ID is 1..n.

    Return type:

    DataFrame

    Parameters:
    -
    +

    digits (int)

    @@ -911,19 +882,15 @@

    Regression & summary helpers
    -moderndive.get_correlation(data, formula=None, *, x=None, y=None, method='pearson', na_rm=True, wide=False, quiet=False)[source]
    -

    Correlation between an outcome and one or more predictors.

    +moderndive.get_correlation(data, formula=None, *, x=None, y=None, wide=False, quiet=False)[source] +

    Pearson correlation between an outcome and one or more predictors.

    Mirrors moderndive::get_correlation. Give the variables either as a formula ("y ~ x" or "y ~ x1 + x2 + x3") or, for a single predictor, via x= and y=.

    -

    method is "pearson" (default), "spearman" (rank correlation), or -"kendall" (rank concordance). na_rm drops rows with a null in either -column before computing (per predictor pair); set na_rm=False to keep -them (yielding nan if any are present).

    With one predictor the result is a 1-row frame with a cor column. With multiple predictors the result is long by default — columns predictor and cor (one row each) — or pass wide=True for one -column per predictor.

    +column per predictor. Rows with a null in either column are dropped per pair.

    A short note points to a full pairwise correlation matrix when there are multiple predictors; silence it with quiet=True.

    @@ -935,8 +902,6 @@

    Regression & summary helpersstr | None)

  • x (str | None)

  • y (str | None)

  • -
  • method (str)

  • -
  • na_rm (bool)

  • wide (bool)

  • quiet (bool)

  • @@ -1005,14 +970,11 @@

    Sampling and plotsengine="plotly" (default) or engine="plotnine".

    -moderndive.rep_slice_sample(data, n=None, *, prop=None, reps=1, replace=False, weight_by=None, seed=None)[source]
    -

    Take reps samples from data.

    -

    Give the sample size as either n (a count) or prop (a fraction of the -rows, e.g. prop=0.5). Returns a polars DataFrame with a leading -replicate column identifying which sample each row belongs to. Set -replace=True for sampling with replacement (bootstrap-style). weight_by -gives unequal selection probabilities — a column name or a sequence of -weights. Pass seed for reproducibility.

    +moderndive.rep_slice_sample(data, n, reps=1, replace=False, seed=None)[source] +

    Take reps samples of size n from data.

    +

    Returns a polars DataFrame with a leading replicate column identifying +which sample each row belongs to. Set replace=True for sampling with +replacement (e.g. bootstrap-style). Pass seed for reproducibility.

    Return type:

    DataFrame

    @@ -1020,8 +982,7 @@

    Sampling and plotsParameters: