{ "cells": [ { "cell_type": "markdown", "id": "bj01", "metadata": {}, "source": "# BJTF Model — System Identification Walkthrough\n\nThis notebook demonstrates the four-step system identification process for a **two-variable, input-output** system using the **Box-Jenkins Transfer Function (BJTF)** model class.\n\n| Step | Task | Tool |\n|------|------|------|\n| 1 | Choose a model class | Identify input-output structure; zero-mean both signals |\n| 2 | Select model order | `uniAnal` on u → ARMA model for u; `multiAnal` → impulse response, G/H GPAC |\n| 3 | Estimate parameters | `estimate`, `pmoddisp`, `pmodpzplot` |\n| 4 | Validate the model | `multiChi` — whiteness test (Q) and cross-correlation test (S) |\n\n**Dataset:** Box-Jenkins Series J — Gas Furnace (296 observations)\nInput u: gas flow rate (ft³/min, zero-meaned); Output y: percent CO₂ in exit gas (zero-meaned)" }, { "cell_type": "markdown", "id": "bj02", "metadata": {}, "source": "## BJTF Model Structure\n\nThe BJTF model separates the input-output dynamics (G) from the noise dynamics (H):\n\n$$y(t) = G(q^{-1})\\,u(t-k) + H(q^{-1})\\,e(t)$$\n\nwhere\n\n$$G(q^{-1}) = \\frac{B(q^{-1})}{F(q^{-1})} = \\frac{b_0 + b_1 q^{-1} + \\cdots + b_{n_b} q^{-n_b}}{1 + f_1 q^{-1} + \\cdots + f_{n_f} q^{-n_f}}$$\n\n$$H(q^{-1}) = \\frac{C(q^{-1})}{D(q^{-1})} = \\frac{1 + c_1 q^{-1} + \\cdots + c_{n_c} q^{-n_c}}{1 + d_1 q^{-1} + \\cdots + d_{n_d} q^{-n_d}}$$\n\n$k$ is a pure time delay and $e(t)$ is white noise with variance $\\sigma^2$.\n\nBJTF is an **output-error** model: G and H are estimated independently, giving the most flexible representation when the disturbance model differs from the input dynamics. Compare to ARMAX (equation-error), where G and H share the same denominator polynomial A.\n\nIn PredictMod notation:\n```python\npmodel('bjtf', nb=[nb], nf=[nf], nc=[nc], nd=[nd], delay=[k], diff=[0], per=[])\n```" }, { "cell_type": "code", "id": "bj03", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T23:50:11.787474Z", "start_time": "2026-06-09T23:50:11.769089Z" } }, "source": "import numpy as np\nimport matplotlib.pyplot as plt\nimport sys, os\nimport pandas as pd\n\ncurrent_dir = os.getcwd()\ntimeseries_root = os.path.abspath(os.path.join(current_dir, '..', '..', '..'))\nif timeseries_root not in sys.path:\n sys.path.insert(0, timeseries_root)\n\nfrom TimeSeriesSRC.Model.model import pmodel\nfrom TimeSeriesSRC.Model.estimate import estimate\nfrom TimeSeriesSRC.Model.selpmod import func_selpmod as selpmod\nfrom TimeSeriesSRC.Model.pmodaic import func_pmodaic as pmodaic\nfrom TimeSeriesSRC.Model.pmodbic import func_pmodbic as pmodbic\nfrom TimeSeriesSRC.basefunctions.uniAnal import func_uniAnal as uniAnal\nfrom TimeSeriesSRC.basefunctions.multiAnal import func_multiAnal as multiAnal\nfrom TimeSeriesSRC.basefunctions.uniChi import func_uniChi as uniChi\nfrom TimeSeriesSRC.basefunctions.multiChi import func_multiChi as multiChi\nfrom TimeSeriesSRC.basefunctions.partoacf import func_partoacf_pmod as partoacf_pmod\nfrom TimeSeriesSRC.Model.pmodmse import func_pmodmse as pmodmse\nfrom TimeSeriesSRC.Model.pmoddisp import func_pmoddisp as pmoddisp\nfrom TimeSeriesSRC.Model.pmoddisp import func_pmodpzplot as pmodpzplot\n\nnp.random.seed(42)\nprint('Setup complete.')", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setup complete.\n" ] } ], "execution_count": 19 }, { "cell_type": "code", "id": "bj04", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T23:50:14.355066Z", "start_time": "2026-06-09T23:50:14.243346Z" } }, "source": [ "data_path = os.path.join(timeseries_root, 'TimeSeriesSRC', 'TestData',\n", " 'Series_J_Gas_Furnace.csv')\n", "df = pd.read_csv(data_path)\n", "u_raw = np.array(df['InputGasRate'], dtype=float)\n", "y_raw = np.array(df['CO2'], dtype=float)\n", "\n", "u = u_raw - u_raw.mean()\n", "y = y_raw - y_raw.mean()\n", "N = y.size\n", "\n", "print(f'Loaded gas furnace data: N={N} samples')\n", "print(f'u: mean={u.mean():.2e}, std={u.std():.3f}')\n", "print(f'y: mean={y.mean():.2e}, std={y.std():.3f}')\n", "\n", "fig, axes = plt.subplots(2, 1, figsize=(12, 5))\n", "axes[0].plot(u_raw)\n", "axes[0].set_title('Input u(t) — Gas Flow Rate')\n", "axes[0].set_xlabel('Sample')\n", "axes[0].set_ylabel('Gas rate (ft³/min)')\n", "axes[1].plot(y_raw)\n", "axes[1].set_title('Output y(t) — Percent CO₂ in Exit Gas')\n", "axes[1].set_xlabel('Sample')\n", "axes[1].set_ylabel('% CO₂')\n", "plt.tight_layout()\n", "plt.show()" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loaded gas furnace data: N=296 samples\n", "u: mean=4.80e-17, std=1.071\n", "y: mean=4.51e-15, std=3.197\n" ] }, { "data": { "text/plain": [ "
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}, "metadata": {}, "output_type": "display_data" } ], "execution_count": 20 }, { "cell_type": "markdown", "id": "bj05", "metadata": {}, "source": "## Step 1 — Choose a Model Class\n\nThe gas furnace experiment measures a **cause-and-effect relationship**: the gas flow rate u(t) is manipulated and the CO₂ concentration y(t) responds after a delay. This input-output structure points to a model with both a **transfer function** G from u to y and a separate **noise model** H for the unmeasured disturbance.\n\nThree candidate model classes are compared in this notebook:\n\n| Model | Structure | Key property |\n|-------|-----------|-------------|\n| **BJTF** | $y = \\frac{B}{F} u + \\frac{C}{D} e$ | Output-error: G and H estimated independently — most flexible |\n| **ARMAX** | $A\\,y = B\\,u + C\\,e$ | Equation-error: G and H share the same poles (A) |\n| **ARX** | $A\\,y = B\\,u + e$ | Simplest equation-error: H = 1/A, no MA term |\n\nWe work through the full four-step process for **BJTF** and use `selpmod` to compare ARMAX and ARX at the end." }, { "cell_type": "markdown", "id": "bj06", "metadata": {}, "source": "## Step 2 — Select Model Order\n\n### Step 2a — Univariate Analysis of the Input u\n\nBefore fitting the BJTF model, we model u(t) as an ARMA process. This serves two purposes:\n\n1. **Prewhitening** — `multiAnal` uses the ARMA model to prewhiten u before computing the impulse response and G/H GPAC arrays. An accurate input model sharpens the cross-correlation estimates.\n2. **Preliminary structure check** — the ACF, PACF, and GPAC of u reveal its autocorrelation structure independently of y.\n\nWe apply `uniAnal` to identify the ARMA order for u." }, { "cell_type": "code", "id": "bj07", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:51:04.656855Z", "start_time": "2026-06-09T18:51:04.525197Z" } }, "source": "uacf, upacf, ugpac = uniAnal(u, 20, 10)\nprint('GPAC for u:')\nprint(np.round(ugpac, 3))", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "GPAC for u:\n", "[[ 0.952 -0.788 0.339 0.121 0.059]\n", " [ 0.876 -0.633 0.588 -0.041 0.287]\n", " [ 0.817 -0.472 0.621 5. 0.335]\n", " [ 0.779 -0.199 0.391 0.367 0.671]\n", " [ 0.767 0.685 0.46 -0.299 0.224]]\n" ] } ], "execution_count": 3 }, { "cell_type": "markdown", "id": "bj08", "metadata": {}, "source": "### ACF/GPAC Interpretation for u\n\nKey features in the correlation structure of u:\n\n- The **PACF** cuts off sharply after lag 3, with negligible values beyond.\n- The **GPAC** shows an approximately constant value in **column 3** starting from row 1, with near-zero entries in columns 1 and 2.\n\nThis is the signature of a pure **AR(3)** process — an ARMA model with $n_c = 0$ (no MA terms) and $n_d = 3$ (three AR terms)." }, { "cell_type": "markdown", "id": "bj09", "metadata": {}, "source": "### Step 2b — Fit and Validate the ARMA(0, 3) Model for u\n\nWe fit the AR(3) model and inspect parameter confidence intervals, the residual ACF, and the chi-square statistic." }, { "cell_type": "code", "id": "bj10", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:51:10.068571Z", "start_time": "2026-06-09T18:51:09.494934Z" } }, "source": "pmod_u = pmodel('arma', nc=[0], nd=[3], diff=[0], per=[])\npmod_u, trec_u, stat_u = estimate(pmod_u, u)\npmoddisp(pmod_u, stat_u)\npmodpzplot(pmod_u)\nplt.show()", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 0/100 Time 0.021348953247070312 PMODMSE 1.4073348483018802/0 Gradient 565.9039021710234/0.0001 mu 0.001/10000000000.0\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "8.995961100382583e-08 0.0001\n", "Epoch 2/100 Time 0.30977296829223633 PMODMSE 0.035357034664973426/0 Gradient 8.995961100382583e-08/0.0001 mu 1e-05/10000000000.0\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ESTIMLM, Minimum gradient reached, performance goal was not met.\n", "\n", "\n", "Parameter estimates — ARMA model\n", "--------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " d1 -1.9749 0.1092 ( -2.0841, -1.8656)\n", " d2 1.3732 0.1980 ( 1.1752, 1.5712)\n", " d3 -0.3425 0.1093 ( -0.4518, -0.2332)\n", "\n", " Residual std σ = 0.188035\n", " Residual var σ² = 0.035357\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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" 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KChhjxqMmTdmxYwfr0qULc3d3Z15eXqx///7s2LFj1cZqyfPqmRqNefz4cdatWzfm6enJQkJC2LPPPsv+97//VXp/kyZNYl5eXuzcuXOsT58+zMPDgwUGBrIZM2YY3h+vli9fzgCwHTt2VLnMypUrjUZQV3XqCGOM7dq1iwFgCxcuZIxJy396ejpzc3Njjz76aJXLZ2dnMw8Pj0ojXcvTj4b94YcfjG6vah3T13Z6errhNkvXM5VKxV5++WUWGhrK3N3dWdeuXVlCQgJr2LCh0WhY/fsztz4wRqNheaNgjDEH9mZCap3Jkyfjxx9/rHRCOyGk9qBTRwghhBAzqFkSQgghZtBuWEIIIcQM2rIkhBBCzKBmSQghhJhBzZIQQggxg5olIYQQYgY1S0IIIcQMapaEEEKIGdQsCSGEEDOoWRJCCCFmULMkhBBCzKBmSQghhJhBzZIQQggxg5olIYQQYgY1S0IIIcQMapaEEEKIGdQsCSGEEDOoWRJCCCFmULMkhBBCzKBmSQghhJhBzZIQQggxg5olsbv169dDoVDgzJkzJu8fPnw4GjVq5NigOKHPTXJystyhYPLkyVAoFIYfLy8vNGrUCCNGjMC6deugUqmsfs65c+dCoVBg+PDhdoi4btDpdPjmm28wYMAABAcHw9XVFaGhoRg+fDh27twJnU4nd4h1AjVLQoiBh4cHEhISkJCQgF9++QXvvPMOvLy8MG3aNMTFxeHOnTsWP5darcbGjRsBAHv27MHdu3ftFXatVVJSgqFDh2LSpEkIDQ3FF198gf3792PlypWIjIzE2LFjsXPnTrnDrBNc5A6AEMIPJycndO3a1ei2p59+Gs888wyGDx+OMWPG4MSJExY9108//YT09HQMGzYMu3btwoYNG/DGG2/YI2y7UavVUCgUcHGR56Ny7ty5+PXXX7FhwwY8/fTTRveNHj0a//znP1FcXCxLbHUNbVkSYqGDBw9CoVBg48aNmDt3LsLDw+Hh4YHevXsjMTGx0vI///wzunXrBk9PT/j4+GDgwIFISEiw6LV+++039O/fH76+vvD09ESPHj3w+++/Gy2Tnp6O5557DlFRUVAqlQgJCUGPHj3w22+/2eT9lhcfH49p06bh5MmTOHz4sEWPWbNmDdzc3LBu3TpERUVh3bp1YIzZNK5GjRoZ7Tou/3Pw4EHDctevX8f48eMRGhoKpVKJ5s2b47PPPjN6Lv3f95tvvsHLL7+MevXqQalU4saNGwCAtWvXom3btnB3d0dgYCBGjRqFy5cvGz3HzZs38cQTTyAyMhJKpRJhYWHo378/zp49a/V7S0tLw+rVqzFo0KBKjVIvJiYGbdq0sfq5ifWoWRKH0Wq10Gg0lX5s/QFqb2+88QZu3ryJ1atXY/Xq1bh37x769OmDmzdvGpbZvHkzRo4cCV9fX3z77bdYs2YNsrOz0adPHxw9erTa59+4cSPi4+Ph6+uLDRs24Pvvv0dgYCAGDRpk1DAnTpyIHTt24O2338bevXuxevVqDBgwAJmZmYZl9A1gwYIFNX7fI0aMAACLmuWdO3ewd+9ejBw5EiEhIZg0aRJu3LhhcaO11Pbt2w27jRMSEnDs2DG0bt0aXl5eaNCgAQDg0qVL6NSpEy5cuID//Oc/+OWXXzBs2DDMmjULCxcurPScr7/+OlJSUrBy5Urs3LkToaGheP/99zF16lS0bNkS27Ztw8cff4xz586hW7duuH79uuGxQ4cOxR9//IElS5Zg3759+OKLL9C+fXvk5OQYltEfp16/fn217+3AgQNQq9V49NFHbZEqUlOMEDtbt24dA1DtT8OGDeUO06wDBw4wAKxDhw5Mp9MZbk9OTmaurq7s2WefZYwxptVqWWRkJGvdujXTarWG5fLz81loaCjr3r274TZ9bpKSkhhjjBUWFrLAwED2yCOPGL22Vqtlbdu2ZZ07dzbc5u3tzWbPnl1tzAcPHmTOzs5s4cKFZt/fpEmTmJeXV5X3X758mQFgM2bMMHpM+fj13nnnHQaA7dmzhzHG2M2bN5lCoWATJ040G0dNzJw5k7m4uLDdu3cbbhs0aBCrX78+y83NrbSsu7s7y8rKYoz9/fd9+OGHjZbLzs5mHh4ebOjQoUa3p6SkMKVSycaPH88YYywjI4MBYMuXL682xg0bNjBnZ2e2YcOGapf74IMPjHJI5EVblsRhvv76a5w+fbrST8+ePSU/p6ktVUt+tFqt5NccP348FAqF4feGDRuie/fuOHDgAADg6tWruHfvHiZOnAgnp79XMW9vbzz22GM4ceIEioqKTD738ePHkZWVhUmTJhnFq9PpMHjwYJw+fRqFhYUAgM6dO2P9+vVYtGgRTpw4AbVaXen5evfuDY1Gg7ffflvy+9VjFu4BYIwZdr0OHDgQABAdHY0+ffpg69atyMvLq3EspnzwwQdYsWIFVq5ciSFDhgAoGyDz+++/Y9SoUfD09DTK6dChQ1FSUlLpGOxjjz1m9HtCQgKKi4sxefJko9ujoqLQr18/w9Z+YGAgGjdujA8//BBLly5FYmKiyZGqTz/9NDQaTZW7VgmfqFkSh2nevDk6duxY6cfPz0/S8yUnJ8PV1VXST+PGjSW/j/DwcJO36Xd/6v+NiIiotFxkZCR0Oh2ys7NNPvf9+/cBAGPGjKkU8+LFi8EYQ1ZWFgBgy5YtmDRpElavXo1u3bohMDAQTz/9NNLS0iS/t+rcunXL8B701q9fD8aY0ak/+/fvR1JSEsaOHYu8vDzk5OQgJycHjz/+OIqKivDtt9/aPLaNGzfijTfewNtvv42pU6cabs/MzIRGo8Gnn35aKZ9Dhw4FAGRkZBg9V8W/m7m/p/5+hUKB33//HYMGDcKSJUvQoUMHhISEYNasWcjPz7f6Pel3IyclJVn9WGJ7NBqWCCsyMhKnT5+W9FilUin5dU01o7S0NAQFBQGA4d/U1NRKy927dw9OTk4ICAgw+dzBwcEAgE8//bTSqFS9sLAww7LLly/H8uXLkZKSgp9//hmvvfYaHjx4gD179lj/xsz4+eefAQB9+vSpdrk1a9YAAJYuXYqlS5eavH/69Ok2i2vfvn2YMmUKJk+eXOkYZEBAAJydnTFx4kS8+OKLJh8fHR1t9Hv5vQaA+b+n/m8GlO1l0L//a9eu4fvvv8eCBQtQWlqKlStXWvW++vbtC1dXV+zYsQPPP/+8VY8ldiDvXmBSF+iPy50+fdrk/cOGDRPqmGVcXJzJY5ZTp05ljJUdX6xXrx5r166d0XIFBQUsNDSU9ejRw3BbxWOW+fn5zN/f3+i4oDUeffRRFhISIumx1R2z3Lt3L3N1dTU63mpKVlYWc3d3Zz169GAHDhyo9DNhwgQGgJ0/f15SjBUlJiYyHx8fNmjQIKZWq00uM2DAANa2bVumUqmqfS793/eHH34wul1/zHLEiBFGt9++fZsplUo2YcKEap+3Xbt2rFOnTha8m8pmzJjBAFR5fPPGjRvszz//lPTcxDq0ZUmIlR48eIBRo0Zh2rRpyM3Nxfz58+Hu7o7XX38dQNm5ikuWLMGECRMwfPhwTJ8+HSqVCh9++CFycnLwwQcfVPnc3t7e+PTTTzFp0iRkZWVhzJgxCA0NRXp6Ov7880+kp6fjiy++QG5uLvr27Yvx48cjNjYWPj4+OH36NPbs2YPRo0cbnu/QoUPo378/3n77bYuOW+p0OsMxPJVKhZSUFPz3v//F999/j+bNm+P777+v9vGbNm1CSUkJZs2aZXILNCgoCJs2bcKaNWuwbNkyAGVbqocOHbJ6VHReXh6GDh0KDw8PvPLKK5VmiGrRogV8fX3x8ccfo2fPnujVqxdmzJiBRo0aIT8/Hzdu3MDOnTuxf//+al/H398fb731Ft544w08/fTTePLJJ5GZmYmFCxfC3d0d8+fPBwCcO3cOM2fOxNixYxETEwM3Nzfs378f586dw2uvvWZ4vq+//hpTpkzB2rVrzR63XLp0KW7evInJkyfj119/xahRoxAWFoaMjAzs27cP69atw3fffUenjziC3N2a1H61bcvym2++YbNmzWIhISFMqVSyXr16sTNnzlRafseOHaxLly7M3d2deXl5sf79+7Njx44ZLVNxy1Lv0KFDbNiwYSwwMJC5urqyevXqsWHDhhm2ekpKStjzzz/P2rRpw3x9fZmHhwdr1qwZmz9/PissLKwU8/z5882+P/3IVv2Ph4cHa9CgAXvkkUfY2rVrzW6ZMVa2FRUaGlrtsl27dmXBwcGGZeLi4lh4eLjZ564oKSmp2hHWBw4cMFp2ypQprF69eszV1ZWFhISw7t27s0WLFhmWqWrLUm/16tWsTZs2zM3Njfn5+bGRI0eyixcvGu6/f/8+mzx5MouNjWVeXl7M29ubtWnThi1btoxpNBrDcvq/+bp16yx6nxqNhm3YsIH169ePBQYGMhcXFxYSEsKGDBnCNm/ebDTimtiPgjHBTnIjRCYHDx5E37598cMPP2DMmDFyh1Mr5OfnIzAwEMuXL6/ymCIhPKDRsIQQ2Rw+fBj16tXDtGnT5A6FkGpRsySEyGbYsGFITk6Gm5ub3KEQUi3aDUsIIYSYQVuWhBBCiBnULAkhhBAzqFkSQgghZtCkBGbodDrcu3cPPj4+labBIoQQIi7GGPLz8xEZGWl00QNTqFmace/ePURFRckdBiGEEDu5ffs26tevX+0y1CzN8PHxAVCWTF9fX4e/flZWFgIDAx3+urUB5U6auXPnmpwAnZhHNSeNXHnLy8tDVFSU4XO+OtQszdDvevX19ZWlWXp5ecHZ2dnhr1sbUO6k8fb2lqXWawOqOWnkzpslh9hogA/nqrruITGPcieNSqWSOwRhUc1JI0LeqFlyrvy18oh1KHfSeHh4yB2CsKjmpBEhb7QblnMZGRlCFBKPKHfSFBcXyx2CsHirOa1WC7VaLXcYZmVnZ1d5QXRbcXV1rdGuXmqWnLN3AdVmlDtplEql3CEIi6eaKygowJ07d8xeJ/SPPzwQF2f5FyRrl7cEYww5OTk2fc6KFAoF6tevD29vb0mPp2bJuby8PK5WQJFQ7qQpLS2VOwRh8VJzWq0Wd+7cgaenJ0JCQqocwLJokQvefdcF//63Gq+8ojX7vB995Iy33nLFm29q8K9/aWwWr0ajgYuL/doRYwzp6em4c+cOYmJiJG1hUrPkHB0/ko5yJ409P7RqO15qTq1WgzGGkJCQKmM6ehR4992y/7/1litcXV0xb17Vz7l4MfDWW2X/f/ddFwwe7IKePW0Tr06nMzspQE2FhIQgOTkZarVaUrOkAT6cE+F4A68od9LodDq5QxAWbzVX3SkRPXsCH3zw9++vvVbWEE1ZvLjsfr0PPoDNGiUAs7uKbaGmM7BRs+QcTbEnHeWOOJpoNTdvnvmGaapRVrcFWp1GjRohNjYW7dq1Q4sWLfDZZ5+ZXf7ChQvSXszGaH8L5+gEZ+kod9LYe3dYbSZizekbn74h6v+dN8+2jVLvxx9/RKtWrXD79m20bt0avXr1QqtWrWr2pA5AawXn6ARx6Sh30mi15gd6ENNErTlTW5hBQbZvlOVFRUWhadOmuHz5MkaPHo3WrVujVatWWLVqlcnl09LS8Pjjj6Nz585o06YN3n77bQBlhw1mzpyJ2NhYtG3bFnFxcSgpKbFdoP+Ptiw5J3WYM6HcSeXq6ip3CMISueYqbmFmZf19n60bJQCcP38eV65cwffff4/Y2Fjs2LEDDx48QFxcHNq1a4fOnTsbLT9p0iS8+eabePjhh6HRaDB8+HBs374djRo1wu+//45Lly7ByckJubm5cHNzs22woGbJvZycHK5OchYJ5U4aUbeOeCB6zc2bByxZYtwoAwNt2yjHjBkDd3d3eHp6Yu3atZg+fTo++ugjAEBoaChGjx6N33//3ahZFhYWYv/+/bh//77htoKCAly5cgX9+vWDWq3GlClT0LdvXwwbNswuhxKoWXJO5BVPbpQ7aXg5/UFEotfc4sXGjRIo+33xYts1TP0xS73p06dX2hKsOFBKp9NBoVDg9OnTJvd8XLx4EYcOHcKBAwfw+uuv4/Dhw2jSpIltAv5/dMyScxkZGXKHICzKnTQ03Z10ItdcxcE85a+YVd1pJTU1YMAAfPHFFwCA9PR0bN++Hf369TNaxsfHB7169cIH5Q6s3rt3D3fu3EF6ejoKCwsRHx+P9957D40aNcKlS5dsHic1S87RtfGko9xJ4+7uLncIwhK15kyNes3MtPw8zJr45JNPcPHiRbRp0wZ9+/bFm2++Wel4JQBs2rQJly9fRuvWrdG6dWs89thjyMzMxO3btzFw4EC0adPGMEhoyJAhNo+TdsNyLicnR9gVUG6UO2nomKV0ItZcdaeHVHdaiRTJycmVbgsLC8MPP/xgcuao8suHh4dj8+bNJp/3jz/+kBaQFWjLknMij66TG+VOGhoNK51oNWfJeZSWTFxQUyKc28t/hHWcPc4Xqisod9LQeZbSiVRzR49afh6lqYZ59KjtYnHEdHc1Rc2ScyLOCMILyp00ok3ZxhORaq5nT2D+/LL/W3IeZfmGOX++beeGFQEds+QcfXBJR7kjjiZazS1YAAwYYHnjmzcP6NGj7jVKgLYsucfbVQxEQrmThq46Ih1vNWfJ7k1rG589GqUjdsPW9DVoy5Jznp6ecocgLMqdNDTARzpeas7V1RUKhQLp6enVXvyZFzqdDhqN7S4mXZH+4s8KhUJyfVOz5Fxubq7ws4LIhXInDZ06Ih0vNefs7Iz69evjzp07Jk/X4I1Wq7X78V6FQoH69etLfh1qlpwLCgqSOwRhUe6koUkJpOOp5ry9vRETE8PdrmFTGGN23/p1dXWtUUMWqlkePnwYH374If744w+kpqZi+/btePTRR6t9zKFDhzB37lxcvHgRkZGRePXVV/H88887JmAbyMzM5OKbqogod9KIdPoDb3irOWdnZyFG6GZkZHCVN1OEGuBTWFiItm3bYsWKFRYtn5SUhKFDh6JXr15ITEzEG2+8gVmzZmHr1q12jtR2ePqmKhrKnTS0ZSkd1Zw0IuRNqC3LIUOGWDXn38qVK9GgQQMsX74cANC8eXOcOXMGH330ER577DE7RWlbvH1TFQnlThraspSOak4aEfIm1JaltRISEhAfH29026BBg3DmzBkh9uMDgJ+fn9whCItyJ41SqZQ7BGFRzUkjQt6E2rK0VlpaGsLCwoxuCwsLg0ajQUZGBiIiIio9RqVSGY0GzMvLs3uc1SkqKhKikHhUV3OnUqlQUFCA/Px8+Pn5ISAgACdOnEBGRgZKS0uhUqnQo0cPNGjQAGvWrEFeXh4YY2CMYfz48VCr1fjwww8BlB3zcnV1xTPPPAOFQoFt27bB1dUVSqUSXl5eGDhwIIqLi3H37l14eXnBy8sL3t7eQhwns4e6WnM1JULeanWzBCrPqKE/MbWqkVfvv/8+Fi5cWOn20tJSZGZmIiAgAFlZWQgODkZGRgb8/PxQWFgIpVIJrVYLxhjc3NxQWFgIPz8/ZGdnG5YNCAhAXl4ePDw8oFaroVAo4OLiguLiYvj4+Biusp6RkYHAwEDk5OTAyckJeXl5cHZ2hpOTE0pLS+Hp6WkYop6RkYGgoCBkZWXB19cXRUVFhvOINBoN3N3dkZ+fXyluf39/FBQUSI7b2dkZKpUK3t7eJuP29vZGSUkJnJ2doVAooFarDXEHBQUhMzPT8K+fn58hbsYYtFot3N3dUVBQAH9/f7Nxu7q6ori4GL6+vkZxK5VKZGVlwcvLC6WlpWbjzs7Oho+PD0pKSgxXQNDHnZeXh8DAQMPuIv3fvqioCG5ubtDpdNBqtVAqlSgsLDQZd35+Pjw8PKDRaKqNOyAgALm5uSbj9vLyQm5uLpydnXH+/HloNBrcvn0bjRs3Rps2bbBt2zYkJiYCAPz9/dGzZ08MGDAAqampUCgUUKlUCAwMhEqlQnFxMdq2bWuIu6ioCL6+vigtLcWIESOQnZ0NDw8P5ObmgjGGkpISBAUFgTGG/Px8qNVqZGZmori4GN988w10Oh1ycnIQHh6OWbNmISkpCYmJifDy8kJERAS8vLzQvn17o5r18fFBcXGxoWbVajU8PDyQn59vMt/6da1ivivWbPl8W7queXl5QaVSGda18vm2dF0rLCyEj4+PQz8jKsYt4meERqNBbm6uwz8jrPlSp2AizGBrgkKhMDsa9uGHH0b79u3x8ccfG27bvn07Hn/8caOCKc/UlmVUVBRyc3Ph6+tr0/dgicLCQnh5eTn8dWuD2pC7/Px8XL16FWlpaUhNTYWnpycmTJiAY8eO4dSpUwgKCkJQUBCaNGmCZs2aoaCgAE5OTvDw8JA8FP8f//gHPv30U0mP1el0KCoqgre3N9LS0nDhwgVkZ2cjOzsbYWFhGDlyJPbt24fLly8jLCwMYWFhaNq0KSIjIyW9Hm9qQ83JQa685eXlwc/Pz6LP91q9ZdmtWzfs3LnT6La9e/eiY8eOVc7ioFQquTpmQ1eAkE6k3DHGcP/+faSkpCA5ORn379/HzJkzkZGRgRMnTiAiIgItWrRA/fr1AQA9evRAjx49Kj2PLS4RVZPvz05OToYYwsPDER4eXmmZDh06IDg4GPfv38etW7fg6emJyMhIfPvttygpKUFUVBQaNGiAhg0bcrUuWkKkmuOJCHkTqlkWFBTgxo0bht+TkpJw9uxZBAYGokGDBnj99ddx9+5dfP311wCA559/HitWrMDcuXMxbdo0JCQkYM2aNfj222/legtWo2H80vGcO41Gg+TkZNy4cQPdu3eHi4sLPvnkE0Oj6Nu3LxhjiI6OxsyZMx0am72PN+q3hivq3r07kpOTkZKSglOnTmHs2LFo0qQJdu7ciaioKDRu3FiWvTvW4LnmeCZC3oRqlmfOnEHfvn0Nv8+dOxcAMGnSJKxfvx6pqalISUkx3B8dHY3du3djzpw5+OyzzxAZGYlPPvlEmNNGgLIvCKJdeZ0XPOVOp9NBrVZDqVTiu+++w9mzZ+Hp6WmYYcXX1xeLFi3i4iK4co0Ub9iwIRo2bGj4nTEGjUYDhUKBgwcPYvPmzQgODsbcuXMN9/EyF6seTzUnEhHyJuwxS0exZp+2Peh0Oi4+QEUkd+6Ki4tx5coVXLx4EVevXkW3bt0wdOhQXL9+Hb6+vggNDeVygus5c+Zg2bJlcodRSXFxMe7cuYOYmBhcvnwZ69atQ4MGDdCiRQu0bNmy0sh3Ochdc6KSK2/WfL7TX5VzWVlZcocgLDlyl5OTg8uXLwMATp06hf379yM4OBjTpk3D4MGDAQAxMTEICwvjslEC/E5K4OHhgZiYGABlE4y8+eab6NixI27duoVDhw4BAK5cuYLr16/LdpkxWl+lESFvQu2GrYt4n9WCZ47KnUqlwsmTJ5GYmIi7d++iWbNmiI2NxcMPP4zevXs7JAZb8vDwkDsEi/j5+aFr167o2rWr4ba0tDQcOnQIjDG0bdsWDz/8sEOnUqP1VRoR8kbNknMiTDDMK3vmrqSkBOfPn0dMTAy8vLxw/fp1dOvWDa1ateLuOJq1iouL5Q5Bsj59+uDhhx/GzZs3cfbsWajVami1Wvz6669o27YtIiMj7bpFT+urNCLkjZol5/z9/eUOQVj2yF1SUhKOHj2KixcvIjQ0FKGhofD398fUqVNt/lpyEe10jYqcnJzQpEkTNGnSBEDZOXx5eXn4/PPPERQUhK5du6J79+52eW1aX6URIW/ULDmnn6GCWM9WuSsoKEBqaipiYmJw69YtBAYGYs6cOVwMKLEHUeZNtpSXlxeeeOIJjBo1Cn/++ScePHgAAPjrr78AAA899JDNtjZpfZVGhLxRs+Sc6N/y5VST3DHGcPPmTSQkJODChQto3rw5YmJi0KdPH9sFyKnaOq+rUqlE586dDb+npaXh119/hZeXF3r27ImOHTvWeH2j9VUaEfJGzZJzIsxswSspudPPJVlSUoJNmzahffv2ePnllxESEmKHCPkk10hSR+vRowe6dOmCP//8E0eOHEF4eDgeeughw+kEUtD6Ko0IeaNmyTk6DVY6a3JXUlKCkydP4siRI+jfvz+6deuGf/3rX3TOXC3n4uKCuLg4dOjQAQBw//59LFu2DK1atULv3r3RoEEDq56P1ldpRMgbfRJwrqo5bIl5lubuzz//xKJFi3Du3DmMHDkSXbp0AYA62yjr4vtWKBRQKBQIDw/Hq6++Cl9fX3z55ZfYtm2bVc9D66s0IuSNtiw5V1xcLMS8iTyqLncFBQU4efIk+vbti3r16uHZZ59Fo0aNHBsgpzQajdwhyCooKAgjR47EwIEDkZubC6DsAgwPPfQQGjduXO1gIFpfpREhb9QsOcf7xNE8M5W7wsJCHDx4EMeOHUPjxo1RVFSE4OBg7s/xciQ3Nze5Q+CCp6cnPD09wRiDk5MTNmzYgLCwMMTHxyMmJsZk06T1VRoR8lb39rcIJjs7W+4QhGUqd1u2bEFqaiqef/55TJ061SaXtKptyl/PlZTtoh0wYADefPNNtGjRArt27TIMBKuI1ldpRMgbbVlyjrZ4pAsODoZOp8OJEydw5coVPPPMM5g4caIQx0fkJMp0d47m7u6Ofv36oW/fvlAoFNi2bRuKi4sxZMgQwxUzaH2VRoS80ZYl5zIyMuQOQUiMMRw7dgwfffQRjhw5Yhi0Q43SPJGnu3ME/e7Xfv36wcXFBUuWLMFPP/2E4uJiWl8lEiFvtGXJuYCAALlDEI5+99j58+fRo0cPdO3atdaeaG8PIpwgzgN/f3+MGzcODz/8MH7//XcAgI+PD12mSwIRPufoL8o5/Wg8Yp5KpcJPP/2EDRs2QKFQ4PHHH0ePHj2oUVqptLRU7hCEEhERgaeeegoeHh745Zdf8PHHHxtdhJ6YJ8LnHDVLznl5eckdAvcYYzh37hyWLFmCe/fuYciQIQAod1LRrmrpBg8ejFatWuGLL77ADz/8gKKiIrlDEoII6yrthuVcaWkp7RYzQ6fT4ciRIxg6dCg6dOhgOKZEuZNGhKnHeKXT6TBw4EDExcVh9+7d0Gg00Ol0hkkPiGkirKvULDlHK5hpOp0Ohw8fxoMHD/D444/jhRdeqJQryh1xNH3NBQYG4qmnngIAHDx4ENevX8fYsWO5v7KGXERYV2k3LOfoeFtl6enp+Oyzz3DixAnDVSRMrWyUO2locIp0pmquS5cu8PPzw4cffoiEhAQh5kF1NBHWVdqy5JxKpaLz3srR6XRYu3YtYmNjMXTo0GqPr1HupKHdsNKZqjkPDw88/vjjaNu2LXbs2IFmzZoZzsskZURYV6lZco5mmCmTlZWFK1euoHv37njppZcsmkeScicNDfCRrrqaa9asGf75z3/CyckJp06dgpOTE+Li4oTYBWlvIqyrtL+Fczk5OXKHILvExEQsXboUaWlpYIxZPOEy5U4amu5OOnM1p9/F7evri19++QWbN29GSUmJAyLjmwjrKjVLzokwDZQ9/fzzz9i+fTvGjx+P0aNHW/UtvK7nTired4fxzNKai42Nxcsvv4zCwkIsX74carXazpHxTYR1lXbDci4jI0OIQrK14uJieHh4IDY2Fg8//LCkUYR1NXc1RdPdSWdNzfn4+GDatGlISUmBq6srHjx4gODg4Do5wEqEdbXu/VUEU9cGAjDGcPLkSbz33nvIy8tD06ZNJQ+3r2u5sxXeryvIM2trTqFQoGHDhmCMYcuWLVi7dm2dnMhAhHWVmiXnRLh0ja1oNBr88MMP2LNnD55++ukaX+OuLuXOlugYmnRSa06hUGDatGlwdnbG8uXLce/ePRtHxjcR1lVqlpzz8fGROwSHOXv2LNLS0jB79mzExMTU+PnqUu5siS7+LF1Nas7d3R2TJ09G586dcerUKRtGxT8R1lU6Zsm5kpKSWv/hdevWLXh5eSEuLg7t2rWDi4ttyrIu5M4e6DxL6Wpac/oLTTPGUFxcjCNHjqB///5CnLRfEyKsq7RlyTlbNQ5enTx5EitXrsTt27ehUChs+n5re+7shc77k85WNadQKKBSqXDhwgWsWrWq1g+6EmFdpWZJZMEYw86dO7F79248++yzaN++vdwhEcIVf39/zJw5E+7u7vjkk0+QlZUld0h1Gv/tvI6rredfabVaFBYWYtasWQgKCrLLa9TW3NmbTqeTOwRh2brm3NzcMGnSJOzfv79Wj1IWYV2lLUvOeXp6yh2CTRUVFWH37t1wcnLCE088YbdGCdS+3DkKTXcnnT1qzsnJCQMGDICnpyd27tyJs2fP2vw15CbCukrNknN5eXlyh2AzmZmZ+OSTT5CRkeGQrZfalDtHounupLN3zTVp0gQ//PADDh06ZNfXcTQR1lVqlpwT4WRdS9y9exeffvopWrRogYkTJzrkgH5tyZ2j1ebdffZm75pr3rw5XnjhBezfvx/79u2z62s5kgjrKjVLzmVmZsodgk3odyWNGDHCYaMta0vuHI0mJZDOETVXr149vPjii4iOjrb7azmKCOsqDfDhHO/zJZpz48YNZGZmokuXLoiIiHDoa4ueO7nQROrSOarmQkNDERoaimvXruF///sfxo4dK/S5mCKsq7RlybmMjAy5Q5Ds8uXLWLt2rWwrsci5k1NtP6fPnhxdcxEREbh37x42bNgAjUbj0Ne2JRHWVWqWnPPz85M7BEnOnTuHr7/+Gk888QQ6duwoSwyi5k5uSqVS7hCE5eia8/HxwYwZM1BYWIj169cLO/uSCOsqNUvOiXoFgvz8fDz99NNo06aNbDGImju5iXDOG6/kqDkPDw9MmzYNLVq0EPbyXiKsq2Jmtg7hfb7Eiq5cuYL79++jR48eaN68uayxiJY7Xoh87EtuctWcu7s7unfvjvz8fOzYsUO4LUwR1lVqlpwTaTaV69ev4+uvv0Z6errcoQAQK3c8YYzJHYKw5K45FxcXJCUlYePGjUI1TLnzZglqlpwTpeBv3ryJ9evXY8yYMWjVqpXc4QAQJ3e8oWYpndw15+npienTpyMzMxObN28WogkB8ufNEtQsOSfKYItjx45h5MiR6NChg9yhGIiSO97QbljpeKg5fcN0cnISZjYmHvJmDjVLzhUWFsodQrVycnKg0Wjw1FNPoXPnznKHY4T33PGKBvhIx0vNeXl5YcKECVAqlbhy5Yrc4ZjFS96qQ82Sc/7+/nKHUKX8/Hx8/vnnOHPmDJfXQOQ5dzwT4Vs+r3iruezsbGzatAknT56UO5Rq8ZY3U6hZco7Xa9ipVCqsWbMGjRo1QpcuXeQOxyRec8c7mu5OOt5qLigoCFOmTMFPP/2ECxcuyB1OlXjLmynULDnH6zRQW7duhbu7O8aNG8flViXAb+54R9PdScdjzUVHR2P8+PHYunUrt8cwecxbRTQ3LOcyMjK4LKT4+Hh4e3tzPRiE19zxjqa7k47XmmvVqhUaN24MpVIJnU7H3eQFvOatPL4yRirhbV/+0aNHkZCQgODgYO4v5cRb7kRBxyyl47nmPDw8kJSUhE8//ZS7LUye86ZHzZJz+fn5codgcP36dezatQuRkZFyh2IRnnInktLSUrlDEBbvNdegQQMolUp8++23XJ1Py3veAGqW3OPl+FFmZia++eYbjB49Gg0bNpQ7HIvwkjvROOLC3LUV7zXn7OyMp59+Gqmpqfj111/lDseA97wB1Cy5x8tld+7cuYPOnTujU6dOcodiMV5yJxpRZn3hkQg15+npiSlTpnDVoETIG32F5Jzcu0oYY8jOzkbbtm3Rtm1bWWOxlty5I3WPKDUXFhaGsLAwZGZmQqfTISQkRNZ4RMgbbVlyztXVVdbXP3ToENauXStEMVckd+5ExdtISZGIVnNnzpzB+vXrZT9OLULeaK3gnJzD+G/duoVff/0Vjz/+OLfnUlaHToGQRoRdYrwSreYGDhwIb29vbN26VdYvxCLkjZol53x9fWV53eLiYnzzzTcYPHgwGjRoIEsMNSVX7kQnwrUFeSVazTk5OWHChAm4du0azp07J1scIuSNmiXnsrOzZXldNzc3DBo0CA8//LAsr28LcuVOdLydgycSEWvO19cXzz//PFq2bClbDCLkjZol5+SY1eL8+fMoKipCp06dhNz9qsf7jCC84mmUpGhErbmwsDBoNBps375dlqvOiJA3apacy8jIcOjr3bt3D5s3bxZiYmNzHJ272kKE40e8Ernm3NzccOfOHfzyyy8Of20R8kbNknMBAQEOey2NRoNvv/0Wffr0EWbigeo4Mne1CU13J53INefk5ITx48fjzJkzuHr1qkNfW4S8UbPkXG5ursNe68iRI3BycsKAAQMc9pr25Mjc1SZyn0YgMtFrLigoCCNGjMC+ffscOjpWhLzRpASc8/Lycthrde/eHe3ateP6SiLWcGTuahMRznnjVW2ouc6dO6N9+/YOHa8gQt5oy5JzjviWr1arsWvXLigUCiF2h1iKtpCk0Wq1cocgrNpQcwqFAm5ubti1axcSExMd8poi5I2aJecc8e1u9+7dSEpKqnUTaIs8kpeIqTbVXP369fHTTz+hqKjI7q8lQt6oWXLO3rtEb9++jRMnTmDcuHG1bpqz2rI72dFqWx04Um2quTZt2qBBgwbYuXOn3V9LhLzRWsE5e58g/t///hf9+vWTfSJle6CT66Wh3bDS1aaaUygUGD16NG7evInCwkK7vpYIeatd+91qIXsf+H7qqadq7fRmIgwa4BEN8JGuttWcv78/5s2bZ/e9DSLkTbgty88//xzR0dFwd3dHXFwcjhw5UuWyBw8ehEKhqPRz5coVB0ZcM/YaUp2Tk4Pdu3fDw8Oj1h2r1BNhODqPRPiWz6vaWHNOTk5ISEjAf//7X7u9hgh5E6pZbtmyBbNnz8abb76JxMRE9OrVC0OGDEFKSkq1j7t69SpSU1MNPzExMQ6KuObsNQ3U9u3bkZeXJ8SBdalEmEKLRzTdnXS1teYaNWqEQ4cOIT093S7PL0LehGqWS5cuxdSpU/Hss8+iefPmWL58OaKiovDFF19U+7jQ0FCEh4cbfkQ4mKxnj2mgLl++jJs3b2L48OE2f26eiDCFFo9oujvpamvNRUREoEuXLvj555/t8vwi5E2YZllaWoo//vgD8fHxRrfHx8fj+PHj1T62ffv2iIiIQP/+/XHgwIFql1WpVMjLyzP6kVNgYKBNn48xhr1792LQoEHw9va26XPzxta5qyvc3d3lDkFYtbnmBg0ahLS0NLtcIUSEvAnTLDMyMqDVahEWFmZ0e1hYGNLS0kw+JiIiAqtWrcLWrVuxbds2NGvWDP3798fhw4erfJ33338ffn5+hp+oqCgAZc06MzMTOp3O8C0oIyMDarUaOTk5KC4uRkFBAfLz86FSqZCVlQWtVmu0rFarRXZ2NkpKSpCfn4+CggKUlJQgOzsbGo3GaFmdToesrCw8ePAAeXl5KCwsRHFxMXJzc6FWq42WZYwhMzMTarUaubm5KCoqQlFREfLy8irFrVAoMGLECHTq1KlGcRcXFyMnJ6fKuEtLSw1xFxUVGcXNGDP6t3zchYWFhrizsrIq5Vuj0VSKW5/DinFnZmYiKysLKpXKorgzMzMNcetzqI87MzPTEG/5v31ubi6Ki4sNcetzaCpufQ7Nxa3VaquMu+LfXmrc+hyailv/BdFc3BVzWD7u8jVrKm59zZaWlhrVbG5urqFmrYm7Yg7Lx23pumZN3FWta7du3XL4Z0TFuGv6GVHVuqbVajFnzhwwxmz+GZGamirLZ4Q1I78VTM7LY1vh3r17qFevHo4fP45u3boZbn/33XfxzTffWDxo55FHHoFCoahyd4JKpTIa4JCXl4eoqCjk5ubKcoHS0tJSm41WLS4uxsmTJ/Hwww/XiXPpbJm7uuSll17Cxx9/LHcYQqoLNXfq1CloNBp0797dZs8pV97y8vLg5+dn0ee7MJ+YwcHBcHZ2rrQV+eDBg0pbm9Xp2rUrrl+/XuX9SqUSvr6+Rj9yKikpsdlz7du3D9euXavVg3rKs2Xu6hI6z1K6ulBzAQEB2L17t03PvRQhb8I0Szc3N8TFxWHfvn1Gt+/bt8+qbziJiYmIiIiwdXh2Y6vTOjIyMnD8+HGMGDGizjTL2npKjL3Vlfqwh7pQczExMYiOjsb+/ftt9pwi5I3/CMuZO3cuJk6ciI4dO6Jbt25YtWoVUlJS8PzzzwMAXn/9ddy9exdff/01AGD58uVo1KgRWrZsidLSUmzcuBFbt27F1q1b5Xwbsvj1118RFxeH8PBwuUMhhAhu8ODBWLlyJeLj4+vM9U+Fapbjxo1DZmYm3nnnHaSmpqJVq1bYvXu34ULFqampRudclpaW4pVXXsHdu3fh4eGBli1bYteuXRg6dKhcb8FqarXaJs8zaNCgWn8spSJb5a6u0el0cocgrLpSc/Xq1cPrr79us0YpQt6EGeAjF2sOANuDWq2u8fRj165dQ+PGjYU6v9QWbJG7umj27NlYvny53GEIqa7V3PHjx9G0adMaTyogV95q5QCfuqqm53nevXsX69ats/tEyDyS+xxZUdF0d9LVtZq7c+cOfv311xo/jwh5o2bJuZqerLtnzx50795d9lG9chDhRGce0aQE0tW1mouPj8f58+erPNfdUiLkjZol5zIzMyU/NiUlBX/99Rf69u1rw4jEUZPc1WUiDOPnVV2rOX9/f3Ts2NHszGjmiJA3oQb41EU1ORbg6uqK0aNH1/pp7aoiwuTMPKKJ1KWrizU3YMCAGs8nLELeaMuSc1InGC4tLUV4eDg6duxo44jEIcLkzDyiidSlq4s15+/vj7CwMNy9e1fyc4iQN2qWnPPz85P0uB07dtjkwLvIpOaurqsr583ZQ12tuQcPHmDFihXIz8+X9HgR8kbNknNSRrHm5eXhf//7H9q3b2+HiMRRF0cA24II57zxqq7WXHh4OJo0aYIjR45IerwIeaNmyTkp3/KPHj2Kpk2bWjVnbm1EW0jS1LXzcW2pLtdcv379cPz4cUmnHomQN2qWnLN2NhXGGO7cuVNnR8CWRzPRSEPzlEhXl2uuUaNGiIuLk7SVKELeaDQs56y9AoRCocC0adPsFI1Y6OoZ0lCzlK4u15xCocCoUaMkPVaEvNGWJees2T3BGMP27duRm5tLV46AGLt2eES7YaWjmgPWrl2LGzduWPUYEfJGzZJz1uzSuHXrFv73v//By8vLjhGJQ4RBAzyiAT7SUc0BYWFhOHbsmFWPESFv1Cw55+/vb/Gyx48fR8eOHevURM7VsSZ35G8ifMvnFdUc0K1bN1y6dAk5OTkWP0aEvFGz5FxWVpZFyxUUFODcuXPo1q2bnSMSh6W5I8ZoujvpqObK5nmNjY1FYmKixY8RIW80wIdzlk4D5eHhgalTpyI0NNTOEYlDhCm0eETT3UlHNVfmiSeesGpCfhHyRluWnLNkGijGGLKzsxETE+OAiMQhwhRaPKLp7qSjmivj4eGB27dvW3w1EhHyRs2Sc5bsy79z5w6WLVsGjUZj/4AEIsJxEB7RMUvpqOb+dvbsWYuvRiJC3qhZcs6SuRb/+OMPtGnTBi4utFe9PKnzVNZ1paWlcocgLKq5v3Xq1Annzp2z6Bi4CHmjZsk5c8ePtFotzp49i7i4OAdFJA469iYNfemSjmrubxEREQgJCcG5c+fMLitC3qhZcs7crtWcnByEhYWhcePGDopIHLRbWhoRph7jlaU1d/Sodc9r7fK8GDBggEXnfYuwrlKz5Jy5qceCgoIwY8YMmrHHBJq2jTiaJTW3YAHQqxeweLFlz7l4cdnyCxbUKDRZtGnTBi1btjS7nAjrKjVLzlU3wYBarcaPP/5IM65UgSZnkMbJiT4WpDJXc0ePAgsXlv3/tdfMN8zFi8uWA8oeJ+IW5q5du3Dy5MlqlxFhXaW1gnPVDeO/evUqrl+/TseYqkCnQEgjwi4xXpmruZ49gQ8++Pv36hpm+UYJlD2uZ08bBOlgvr6+ZicoEGFdpWbJOR8fnyrvu3DhAlq1akW7YKtQXe5I1dzc3OQOQViW1Ny8eeYbpqlGOW+ejYJ0sNatW+PmzZsoKCiochkR1lVqlpyran5FnU6HS5cuoXXr1o4NSCDWzE1J/ibl4r2kjKU1V13DrE2NEig7h7J+/fq4ePFilcuIsK7S/jvOVTUNlE6nwyOPPIIGDRo4OCJxiDCFFo9EGMbPK2tqTt8A9Y3xtdeAJUuA8tOkit4o9Z566in4+vpWeb8I6yptWXKuummgOnXqRIMxqiHCFFo8EuH4Ea+srbmKW5i1sVECQEBAADIyMqocjCjCukqftJwLCAiodBtjDB9++CFu3bolQ0TiMJU7Yh5NdyedlJqbNw8IDDS+LTCw9jRKAFAoFFi3bl2VF4UWYV2lZsm53NzcSrdlZGQgNzcXkZGRMkQkDlO5I+bRdHfSSam5xYuNtyiBst8tPQ9TFM2aNcOVK1dM3ifCukrNknOmZr+4du0aoqOjhTg3SU6WzBxCKqO6ks7amqs4mKf8FqYl52GKJDY2FlevXjV5nwjrKjVLzpkamZicnIymTZvKEI1YaFSnNFqtVu4QhGVNzZka9ZqZafl5mKJp3LgxlEqlyYnVRVhXaTQs55ydnSvd9uSTT9IHmgVM5Y6YR+ftSmdpzVV3eoipUbLlbxeVUqnEnDlzTN4nwrpKW5acqzjaNTs7G/fu3aNdZRagkcLSULOUzpKas+Q8SksmLhBRWloajh8/Xul2EdZV/iOs4yrunjh9+jQOHjwoTzCCEWHXDo9or4V05mru6FHLJxww1TBFnBu2PJVKhT179lSaOF2EdZWaJecqHvhOSkqiy3FZSIRBAzyivRbSmau5nj2B+fPL/m/JeZTlG+b8+WLODVte/fr1UVpaivT0dKPbRVhXqVlyrvyQap1Oh5SUFDRq1Ei+gAQiwnB0HonwLZ9XltTcggXAkSOWH4OcN69seREv0VWRs7MzGjZsiKSkJKPbRVhXaYAP58pPA1VYWIiGDRsiLCxMxojEIcIUWjyi6e6ks7TmrN1CFH2LsrwePXpU2pIUYV2lLUvOlZ8GysfHB88995wQB8N5IMIUWjyi6e6ko5ozr02bNpUOJYmQN/rU5VxQUJDh/wkJCUhJSZExGrGUzx2xnLu7u9whCItqzjydTocVK1YgLy/PcJsIeaNmybmscvNgHTp0CEVFRTJGI5asinOIEYuYOmmcWIZqzjwnJycUFxfjzp07httEyJukZjl58mQcPnzY1rEQE/QXRS0qKkJGRgZdkssKIlxQlkd08WfpqOYsExkZibt37xp+FyFvkpplfn4+4uPjERMTg/fee8/oTRPb0h8/Sk1Nhb+/Pzw9PWWOSBx07E0ajUYjdwjCopqzTL169Yz6hgh5k9Qst27dirt372LmzJn44Ycf0KhRIwwZMgQ//vhjldcrI9Loz3nz9vbGwIEDZY5GLHS+oDQ0gEw6qjnLtG/fHvHx8YbfRcib5LUiKCgIL730EhITE3Hq1Ck0adIEEydORGRkJObMmYPr16/bMs46LywsDF26dJE7DEIIqTE/Pz+Eh4dDp9PJHYrFavwVMjU1FXv37sXevXvh7OyMoUOH4uLFi2jRogWWLVtmixjrNP2W+qZNm+hiz1aivRzSiPQBxhuqOct9+OGHuHnzJgAx8iapWarVamzduhXDhw9Hw4YN8cMPP2DOnDlITU3Fhg0bsHfvXnzzzTd45513bB1vnePh4QGdTofz58/TyeJWonxJ4+JCc5VIRTVnuZCQEKSmpgIQI2+S1oqIiAjodDo8+eSTOHXqFNq1a1dpmUGDBsHf37+G4ZH8/HzDN30RZrngSX5+vhDnb/GmtLRU7hCERTVnudDQUMNkBCLkTVKzXLp0KR5//PFqT14OCAioNP8fsV5gYCAuXbqEkJAQGnhhpcDyl50nFqNJCaSjmrNcSEgIzp49C0CMvFn96avRaDBlyhTcuHHDHvGQCjIzMxEVFYXRo0fLHYpwMjMz5Q5BSDQpgXRUc5br0KEDpkyZAkCMvFm9Zeni4oKGDRvSNe8cJDg4GIwx+Pr6yh2KcGi3tTQiHD/iFdWc5VxcXJCWlobQ0FAh8iZpv96//vUvvP7660JMUSS6jIwMrF27Fn/88YfcoQhHhMmZeSTCCeK8opqzzqeffor09HQh8ibpmOUnn3yCGzduIDIyEg0bNqx0uZX//e9/NgmOlJ2P9ODBAyGmg+KNn5+f3CEISalUyh2CsKjmLKdQKBASEoL09HTExsbKHY5Zkprlo48+auMwSFXy8/ORnZ0txG4K3hQWFtKIbAlEOOeNV1Rz1gkICEBOTo4QeZPULOfPn2/rOEgV9LvEeC8kHtEWkjTOzs5yhyAsqjnrBAcHQ61WC5E3OvuYc76+vpg3bx6dNiIBzUQjDWNM7hCERTVnneHDhwMo2yLnnaRmqdVqsWzZMnz//fdISUmpdBIzDfyxnZKSEnh7e8sdhpBoxLY01Cylo5qzTl5eHlJTUxERESF3KGZJ2lxZuHChYWKC3NxczJ07F6NHj4aTkxMWLFhg4xDrtosXL2Lz5s1yhyEkEXbt8Ih2w0pHNWed+/fvY9u2bULkTVKz3LRpE7766iu88sorcHFxwZNPPonVq1fj7bffxokTJ2wdY52WkZFBI2ElEmHXDo9ogI90VHPW8fPzQ25uLgoKCuQOxSxJzTItLQ2tW7cGUHadxdzcXABl+5937dplu+gItFotNUuJaBi/NG5ubnKHICyqOev4+vpCo9HU3i3L+vXrG2aLb9KkCfbu3QsAOH36tBBvWiQPHjyg2Xskys7OljsEIalUKrlDEBbVnHWUSiWio6Nr76QEo0aNwu+//44uXbrgpZdewpNPPok1a9YgJSUFc+bMsXWMddrMmTNpwIVEdG6qNDTdnXRUc9ZRKBR48cUX5Q7DIpKa5QcffGD4/5gxY1C/fn0cP34cTZo0wYgRI2wWHAHOnTuHZs2a0ZUgJMjIyKAPLwloujvpqOasd+rUKfj7+6Np06Zyh1Itm5xn2bVrV3Tt2tUWT0Uq2LlzJ3x8fPDQQw/JHYpwaCIHaehQinRUc9Y7duwY+vbtK3cYZklulteuXcPBgwfx4MGDSifivv322zUOjJTJzc2lrUqJ8vPzERAQIHcYwqGLP0tHNWc9Dw+P2nmJLgD46quvMGPGDAQHByM8PBwKhcJwn0KhoGZpI4wx6HQ6+qYvER17k8bFhSb2koqnmjt6FOjZ037L24qHh4cQMx9JGg27aNEivPvuu0hLS8PZs2eRmJho+KErjtiOTqeDt7c3bVlKROcLSiPCBxeveKm5BQuAXr2AxYstW37x4rLl5ZhTJiYmRohTbiQ1y+zsbIwdO9bWsZAKnJ2d8c9//rPSJdCIZcrv8SDEEXiouaNHgYULy/7/2mvmG+bixWXLAWWPO3rUvvFV1L17d7Ro0cKxLyqBpGY5duxYw7mVjvb5558jOjoa7u7uiIuLw5EjR6pd/tChQ4iLi4O7uzseeughrFy50kGR1pxarcaFCxfo1BGJaHeiNDRpv3Q81FzPnkC5ExaqbZjlGyVQ9jhH74o9e/Ysrl696tgXlUDSX7ZJkyZ46623cOLECbRu3Rqurq5G98+aNcsmwVW0ZcsWzJ49G59//jl69OiBL7/8EkOGDMGlS5fQoEGDSssnJSVh6NChmDZtGjZu3Ihjx47hhRdeQEhICB577DG7xGhLRUVF2LhxI7p06SJ3KEIqLi6mXdgSaDQauUMQFi81N29e2b/6Rqj/V387YLpRlr/fUZKTk1FSUoK4uDjHv7g1mASNGjWq8ic6OlrKU1qkc+fO7Pnnnze6LTY2lr322msml3/11VdZbGys0W3Tp09nXbt2tfg1c3NzGQCWm5trfcA1lJ2dzebMmePw160t1Gq13CEI6aWXXpI7BGHxVnMffMAY8PfPBx9Uf7scfv75Z7Z161ZZXtuaz3dJW5ZJSUm27dgWKC0txR9//IHXyn8VAhAfH4/jx4+bfExCQgLi4+ONbhs0aBDWrFkDtVpdaYuYNzqdjpsBAyLKycmhE8QloOnupOOt5kxtYS5ZApS/iqJcW5R6zs7OtffUETlkZGRAq9UiLCzM6PawsDCkpaWZfExaWprJ5TUaDTIyMkxeQ02lUhl9WOTl5dkgemlcXFzQsmVL2V5fdDx9aImEp9MfRMNjzVVsmDw1SqDsGLkI1+y1uFnOnTsX//73v+Hl5YW5c+dWu+zSpUtrHFhVKo42Y4xVOwLN1PKmbtd7//33sVA/lKycV199FQqFAu7u7igpKYGHhweKi4uhVCqhVqvh7OxsGHLv7OwMtVoNNzc3qFQqo2VLS0vh4uJiWNbJyQkajabSsu7u7lCpVNBqtZg5cyYUCgUUCgW0Wi1cXV0rLVtSUmKIRT9AgzEGZ2dnlJaW2iXuqmJRqVRwdXWFVqs15Fmn0xmW1cdiLm61Wg2lUmk27qpyyBiDk5OTIRZzcZeUlMDNzc1s3KZiYYyZjdvSv71+Wbni3rdvH+bOnVvjuC2pWTc3N2g0GsPfXqfTwcXFxWzNVozbFuuaNXFXVbMFBQXw9fV16GeEpXErlf+GSvV3U1IqC3H79jy89JK8nxEpKSkoKirCgQMHHP4ZYQ2Lm2ViYqJhl2BiYmKVy9lr6HRwcDCcnZ0rbUU+ePCg0tajXnh4uMnlXVxcEBQUZPIxr7/+utGXgby8PERFRWHJkiUOv/pHcXExEhIS0K9fP4e+bm2h0+loZKcEc+bMsesX3tqM15pbvBiouHddpfJCVNQK2bcsb9++jdLSUjRu3Njhr52Xl2fxGRIWN8sDBw6Y/L+juLm5IS4uDvv27cOoUaMMt+/btw8jR440+Zhu3bph586dRrft3bsXHTt2rPJ4pVKp5GbGHJVKhW3btqFv375cnL8lmpycHAQGBsodhnDomKV0PNZcxVGvgYF/74o1NUrW0aKiopBVft8wp/j7ClSNuXPnYvXq1Vi7di0uX76MOXPmICUlBc8//zyAsq3Cp59+2rD8888/j1u3bmHu3Lm4fPky1q5dizVr1uCVV16R6y1YxcXFxWhXHLEOTeYgDe8D33jGW82ZOj0kM9Py8zAd4bfffsMff/whXwAWknw9S1NbOvpjek2aNMH48ePRrFmzGgdY3rhx45CZmYl33nkHqampaNWqFXbv3o2GDRsCAFJTU5GSkmJYPjo6Grt378acOXPw2WefITIyEp988okQ51gCZR9aGo0GGo2Gi5OdRaNSqbjZSyAS+nImHU81V915lJach+koWVlZQny+SYrQz88PO3bsgL+/P+Li4sAYQ2JiInJychAfH48tW7Zg8eLF+P3339GjRw+bBvzCCy/ghRdeMHnf+vXrK93Wu3dvYeerdXV1Rfv27eUOQ1jOzs5yhyAk2uUvHS81Z8mEA7w0zNLSUiFGw0raDRseHo7x48fj5s2b2Lp1K7Zt24a//voLTz31FBo3bozLly9j0qRJmCf3kWPBOTk54cknn+RiRhAR8TjQQgTULKXjoeaOHrV8Zp558yrvknX03LD6kbi8k/SXXbNmDWbPnm1UGE5OTvjHP/6BVatWQaFQYObMmbhw4YLNAq2rduzYIeu5niKjgSrS0G5Y6XiouZ49gfnzy/5vyXmU5Rvm/PmOnxs2Pj5elpGw1pK0G1aj0eDKlSto2rSp0e1XrlwxrGju7u70DdUGrly5gu7duzv8tJXagLfBFqKgAT7S8VJzCxYAAwZY3vjmzQN69JDnepb169cXYqYySVuWEydOxNSpU7Fs2TIcPXoUx44dw7JlyzB16lTDaNRDhw7R7DM24OTkhKKiIrnDEFJubq7cIQiJh60jUfFUc9Y2PjkaJQB8/PHHQowrkbRluWzZMoSFhWHJkiW4f/8+gLJp5ObMmWM4ThkfH4/BgwfbLtI6KjQ0FIWFhXKHISQepx4TAU13Jx3VnPWys7MRGRkpdxhmSWqWzs7OePPNN/Hmm28ajqdV3E1o6pJZxHpNmjRBaGio3GEIKSMjgz68JLB2GjDyN6o56+h0OhQWFqK0tFTuUMyq8cktdCzNvgYMGEDHfiWqakpDUj0RRibyimrOOkVFRWCMISoqSu5QzJLcLH/88Ud8//33SElJqfStQIT9z6I4ePAgXFxc0KtXL7lDEU5WVhZ9eElQUlIidwjCopqzjqenJ1599VXk5+dznzdJA3w++eQTPPPMMwgNDUViYiI6d+6MoKAg3Lx5E0OGDLF1jHWaTqfDzZs35Q5DSLTXQxpeZqAREdWcdXQ6HXx9fYXIm6Rm+fnnn2PVqlVYsWIF3Nzc8Oqrr2Lfvn2YNWsWV6PBagOlUomcnBy5wxASjSKWRoRh/LyimrPOxYsXsWrVKiHyJqlZpqSkoHv37gDKRs7l5+cDKDul5Ntvv7VddATBwcHULCWi8wWl4WEWGlFRzVknJycHvr6+QuRN8nR3mZmZAICGDRvixIkTAICkpCTDxZWJbYSEhGDYsGFyh0EIITaXnZ3N/bFKPUnNsl+/fobrRE6dOhVz5szBwIEDMW7cOKNrTZKac3V1RceOHeUOQ0gajUbuEIREX3ilo5qzTk5ODgICAoTIm6TRsKtWrYJOpwNQds3IwMBAHD16FI888ojh2pLENtzd3fHVV19hwIABiI6OljscodApENLwcuUMEVHNWWfSpEnQ6XRCzEcsqVk6OTkZHdd4/PHH8fjjj9ssKPK3/Px8aDQaZGZmUrO0kgjD0XkkwgnivKKasxxjDMnJyWjQoIEQeZN8nmVJSQnOnTuHBw8eGLYy9UaMGFHjwEiZgIAABAUFISMjQ+5QhBMQECB3CEKirSPpqOYsV1xcjM8++wzvvvuuEHmT1Cz37NmDp59+2uQHuEKhEGKTWhRZWVkIDQ1FSkqK3KEIJysri6Yek4AmJZCOas5yGRkZ8Pb2hlKpFGKaQEkDfGbOnImxY8ciNTUVOp3O6IcapW0FBwejQ4cONNmDBLyvfLyiidSlo5qz3P379w3zXouQN0nN8sGDB5g7dy7CwsJsHQ+pICMjA76+vvD396dRilaiXdfS0ETq0lHNWa60tBSNGjUCIEbeJDXLMWPG4ODBgzYOhZji5+cHxhjefvttIQqKJ35+fnKHICSa7k46qjnL9ejRA0OHDgUgRt4kHbNcsWIFxo4diyNHjqB169aVZl+YNWuWTYIjQGFhIfz9/REcHIwHDx4gJCRE7pCEoc8dsQ5Ndycd1ZzlEhIS0K5dO3h4eAiRN0nNcvPmzfj111/h4eGBgwcPGl1CSqFQULO0If23/LCwMKSmpqJly5YyRyQO2kKShs6zlI5qzjIlJSXYunUr2rRpA0CMvElqlv/617/wzjvv4LXXXqN5JO1MP2Cqfv36uH37tszRiIUGm0lT8VQwYjmqOcukpaXBx8cHXl5eAMTIm6RmWVpainHjxlGjdAD9oJ4ePXrQN34r0YAo4mhUc5a5e/cuIiMjDb+LkDdJ3W7SpEnYsmWLrWMhJri5uQEomyP2zp07UKlUMkckDn3uiHXoS5l0VHOW8fLyQrt27Qy/i5A3SVuWWq0WS5Yswa+//oo2bdpUGuCzdOlSmwRHygYM6Pfnb968GY8++ihiY2NljkoM5XNHLEcDfKSjmrNM+UYJiJE3Sc3y/PnzaN++PQDgwoULNg2IGCs/pDoqKgq3b9+mZmkhEYaj80iEb/m8opozr7i4GNu3b8e4ceMMezFEyJukZnngwAFbx0GqkJ2dbZjdon79+vjrr79kjkgc5XNHLEe7+qWjmjPv9u3buHXrltHufhHyZlWzHD16tNllFAoFtm7dKjkgYqx8AUVHR1OztALvKx+vaLo76ajmzLt16xaioqKMbhMhb1Y1SxE2lWub8hMMN2jQAFOmTJE5InGIMDkzj2i6O+mo5sy7desWmjVrZnSbCHmzqlmuW7fOXnGQKlS8dM3ly5fh7OyMpk2byhSROES47A+PeB9owTNLa+7oUaBnT8uf19rleda1a1ej00YAMdZVOlGSc3l5eUa/3717FydPnpQpGrFUzB2xDF38WTpLam7BAqBXL2DxYsuec/HisuUXLKhRaFxgjKFVq1YIDAw0ul2EdZWaJecqHj9q3Lgx/vrrLyFO4pUbHXuTxsVF8jXh6zxzNXf0KLBwYdn/X3vNfMNcvLhsOaDscUeP2iBIGe3fvx8//fRTpdtFWFepWXKu4jlvUVFRKCkpwYMHD2SKSBx0vqA0NN2ddOZqrmdP4IMP/v69uoZZvlECZY8TfVfs9evXTV4MQoR1lZol58pPUg+UfesfMmQIffu3QMXcEWJvltTcvHnmG6apRjlvno2ClIlGo0FycjJiYmIq3SfCukqfuJwz1RR79+4tQyTioS8U0tCcz9JZWnP6xqdviPp/582rnY0SAFJSUuDp6Wly1KsI6yqtFZwzNYy/uLgYS5cupYEYZtApENJoNBq5QxCWNTVnagszKKh2Nkqg7Dzx2bNnm9yKFGFdpWbJOR8fn0q3ubu7Q6VS4caNGzJEJA5TuSPm0XR30llbcxUbZlbW3/+vTY0SAG7evAlvb2+T94mwrlKz5FxOTk6l2xQKBZo3b47Lly87PiCBmModMY+mu5NOSs3NmwdUOJMCgYG1q1Gmp6fjq6++qnKvhQjrKjVLzlU1q4W+WdIpJFXjfUYQXokwjJ9XUmpu8WLjLUqg7HdLz8MUwcWLFxETE1PlXgsR1lVqlpzLyMgweXvjxo3x3HPPOTgasVSVO1I9EY4f8cramqs4mKf8FqYl52GK4uLFi2jRokWV94uwrlKz5FzFmS70XFxcEBgYiPT0dAdHJI6qckeq5+7uLncIwrKm5kyNes3MtPw8TFHodDq4ublV2yxFWFepWXKuun35ly9fxtq1a2lXbBVEOA7CIzpmKZ2lNVfd6SGWnIcpEicnJ0ybNq3aC3GIsK5Ss+Scl5dXlffFxsYiPz8f9+7dc2BE4qgud6Rqrq6ucocgLEtqzpLzKGtTw/zll1+QlpZW7TIirKvULDlX3bd8V1dXtGjRAn/++acDIxIHbSFJo9Vq5Q5BWOZq7uhRy8+jNNUwRZsbNi8vD4cPH4anp2e1y4mwrlKz5Fz5q4mb0qFDByEKTQ7mckdME2HqMV6Zq7mePYH588v+b8l5lOUb5vz54s0N++eff+Khhx6Cr69vtcuJsK7yP8dQHWdu6rHmzZujefPmDopGLDRtmzTULKWzpOYWLAAGDLC88c2bB/ToIV6jBIDExER06dLF7HIirKv8R1jHWTKl3V9//YVDhw45IBqx0HSA0tBuWOksrTlrG5+IjRIABg8ejDZt2phdToR1lZol58zt6wfKdmH89ttvQlzmxpEsyR2pjAb4SEc197e8vDzExMRYNMmFCHmjZsm53Nxcs8s0bNgQPj4+uHDhggMiEocluSOV0TFw6ajmyuh0Onz88ccWz18tQt6oWXLOkmmgFAoFOnfujJMnTzogInGIMIUWj2i6O+mo5spcuXIFQNlMY5YQIW/ULDln6TRQnTp1wuDBg+0cjVhEmEKLRzTdnXRUc2VOnDiBzp07WzxwR4S80WhYzgUFBVm0nJeXFzw9PZGdnY2AgAA7RyUGS3NHjNF0d9JRzZUNECsoKLBoFKyeCHmjLUvOZVW8HEE1bty4gU8++YQu3vv/rMkd+VtJSYncIQiLaq5swOGsWbPg7+9v8WNEyBs1S86ZO5m3vCZNmsDd3Z1m9Pl/1uSO/E2pVModgrDqes1ptVp8//33KCgosOpxIuSNmiXnioqKLF5WoVCgV69eOHz4ME2uDutyR/5GpyBJV9dr7ty5c/jrr7+sPhVEhLxRs+Sctee8xcXFwcvLi3algc4XlEqE2VR4VZdrjjGGw4cPo1evXlbXkAh5owE+tYxSqaSLQhNCHC45ORkZGRno1KmT3KHYBX2F5JyUwTo6nQ5r1qxBdna2HSISBw10koZ24UtXl2uuQYMGeP755yUd8xYhb9QsOSdlGL+TkxPc3Nxw8OBB2wckEDoFQhoRrgDBq7pac7m5ucjOzka9evUkPV6EvFGz5Fx+fr6kxw0YMACnTp2S/PjaoC6/95oQYVJrXtXVmvvtt9+wb98+yY8XIW/ULDkndYKBiIgING3aFCdOnLBxROKgyRmkEeFbPq/qYs3l5OTg9OnT6Nevn+TnECFv1Cw5V5OTdceOHYv+/fvbMBqxiHCiM49oJLV0dbHmfv/9d7Rq1QphYWGSn0OEvNFoWM7VZIJhb29vZGRk4N69exZdU662EWFyZh7RROrS1cWaCw4ORmxsbI2fg3e0Zcm5mk4wnJ+fj++//75OTo4twuTMPKqLtWIrda3m1Go1evfuXaOtSkCMvFGz5Jw18yuaEh0djaioKBw4cMA2AQmkprmrq2i6O+nqUs3l5OTg3//+NwoLC2v8XCLkjZol56ydY9GUoUOH4siRI0JcYNWWbJG7uoimu5OuLtXcvn37EBMTAy8vrxo/lwh5E6ZZZmdnY+LEifDz84Ofnx8mTpyInJycah8zefJkKBQKo5+uXbs6JmAbscW3/KioKEyYMMHq+RpFR1tI0tB5ltLVlZpLS0vDH3/8gSFDhtjk+UTImzDNcvz48Th79iz27NmDPXv24OzZs5g4caLZxw0ePBipqamGn927dzsgWtvRarU2eZ5WrVqhuLjY7BeM2sRWuatrdDqd3CEIq67U3J07d9CzZ0+bDcwRIW9CjIa9fPky9uzZgxMnThguKPrVV1+hW7duuHr1Kpo1a1blY5VKJcLDwx0Vqs3Zcuqx/fv3IycnB5MnT7bZc/KMpm0jjlZXaq5jx442fT4R8ibElmVCQgL8/PyMrrzdtWtX+Pn54fjx49U+9uDBgwgNDUXTpk0xbdo0PHjwwN7h2pSbm5vNnqt///64du0akpOTbfacPLNl7uoS2g0rXW2vOcYYVq1ahdu3b9v0eUXImxDNMi0tDaGhoZVuDw0NRVpaWpWPGzJkCDZt2oT9+/fjP//5j2GWCZVKVeVjVCoV8vLyjH7kZIuRZno+Pj7o168ftm/fXid2tdkyd3UJDfCRrrbX3P/+9z88ePDA5nvrRMibrM1ywYIFlQbgVPw5c+YMgLILG1fEGDN5u964ceMwbNgwtGrVCo888gj++9//4tq1a9i1a1eVj3n//fcNg4j8/PwQFRUFoGy+zMzMTOh0OsM5QRkZGVCr1cjJyUFxcTEKCgqQn58PlUqFrKwsaLVao2W1Wi2ys7NRUlKC/Px8FBQUoKSkBNnZ2dBoNEbL6nQ6ZGVlwcPDA3l5eSgsLERxcTFyc3OhVquNlmWMITMzE2q1Grm5uSgqKkJRURHy8vIqxd2nTx80aNAAKpWqRnHrj39WFXdpaakh7qKiIqO4GWNG/5aPu7Cw0BB3VlZWpXxrNJpKcetzWDFub29vZGVlQaVSWRR3ZmamIW59DvVxZ2ZmGuIt/7fPzc1FcXGxIW59Dk3Frc+hubi1Wm2VcVf820uNW59DU3Hrv0iZi7tiDsvHXb5mTcWtr9nS0lKjms3NzTXUrDVxV8xh+bgtXdesibuqdU2r1Tr8M6Ji3DX9jKhqXUtPT8dPP/2Enj17wsnJyaafEW5ubrJ8RlhzrFTBZNxZnJGRYfZk1EaNGmHz5s2YO3dupcEp/v7+WLZsGZ555hmLXzMmJgbPPvss5s2bZ/J+lUpltOWZl5eHqKgo5ObmwtfX1+LXsZWMjAy7zG6hP/G8Ns/WYq/c1XYzZszAF198IXcYQqrNNXfu3DkcP34c06dPr3YjRQq58paXlwc/Pz+LPt9lHeATHBxsUYK6deuG3NxcnDp1Cp07dwYAnDx5Erm5uejevbvFr5eZmYnbt28jIiKiymWUSiVXw5jtVUA7duyAm5sbHnvsMbs8Pw9q64eWvdXmL1D2Vptrrk2bNmjVqpXNGyUgRt6EOGbZvHlzDB48GNOmTcOJEydw4sQJTJs2DcOHDzcaCRsbG4vt27cDKDvJ9ZVXXkFCQgKSk5Nx8OBBPPLIIwgODsaoUaPkeitWs9c0UPHx8Thz5gzu3Lljl+fngQhTaPGIpruTrjbWHGMM33zzDe7evQsnJ/u0DBHyJkSzBIBNmzahdevWiI+PR3x8PNq0aYNvvvnGaJmrV68aZqlxdnbG+fPnMXLkSDRt2hSTJk1C06ZNkZCQAB8fHznegiT2unRNUFAQ+vTpg61bt9bawT4iXPaHRzztWRFNbay5M2fO4NatWwgJCbHba4iQNyHOswSAwMBAbNy4sdplyh9+9fDwwK+//mrvsOwuLy/PboXUv39/aDQaqNXqWvkBac/c1WZ08WfpalvNFRYW4pdffsHYsWPtenqHCHkTZsuyrrLn8SMXFxcMGzYMCoVC9lNk7IGOvUnj4iLMd2ju1LaaO3fuHKKjo9GyZUu7vo4IeaNmyTlHnPN28OBBfPPNN0LMomENOl9Qmtq6W94RalvNdevWDRMnTrTLoJ7yRMgbNUvO2btIAaB3797Izc1FQkKC3V/LkRyRO0LKqy01V1hYiBUrVqCgoMAhMzqJkDdqlpxzRKEqlUqMHTsWu3btQlZWlt1fz1Fo2jZp7DXisS6oLTW3fft2eHt72+TyW5YQIW+0VnCuuqn5bCkmJgbDhg2rVcerHJW72kaEK0DwqjbU3Llz53Dt2jU89thjDtviEyFv1Cw55+3t7bDX6t69O7y8vPDXX3857DXtyZG5q01cXV3lDkFYtaHmLl26hFGjRjn0FDsR8kbNknOOvv5keno6Vq9ejVu3bjn0de2hLl2705ZE+JbPK5FrTqfTQaPRYNy4cWjfvr1DX1uEvFGz5Jyjp4EKDw/HoEGDsHnzZpSUlDj0tW1NhCm0eCTCMH5eiVxz+/fvx3fffSfLYBsR8kbNknNyTAPVu3dvBAYGYufOnQ5/bVsSYQotHtF0d9KJWnPJycn4/fff0bdvX1leX4S81Z7RHLVUYGCgw19ToVDgySefFH7LUo7c1Qbu7u5yhyAsEWuuuLgYGzduxNChQ1GvXj1ZYhAhb7RlyTm59uX7+voiNDQUx48fx927d2WJoaZEOA7CIzpmKZ2INadSqdC+fXv07NlTthhEyBs1S87JPUqsqKgIGzZsEHLXnNy5ExWNhpVOtJpLTk6Gn5+fYdpLuYiQN2qWnJN7V2j//v0RHh6OzZs3Czcdnty5ExWdZymdSDV3+fJlrFq1CpmZmXKHIkTeqFlyTu6ZLfTHLzMyMoQ7nUTu3IlKhKnHeCVKzWVkZGDz5s0YO3YsFyNRRcgbDfDhHA8fXB4eHnj55Zfh4uICjUYjzCw/POSO1C0i1BxjDBs3bkTnzp0dfj5lVUTIG21Zco6X2fhdXFxQVFSE999/X5gBP7zkTjR01RHpRKg5hUKBcePGYdiwYXKHYiBC3qhZcs7T01PuEAw8PT3Rs2dPrFmzBrm5uXKHYxZPuRMJDfCRjvea27NnDy5duoSIiAiuJsznPW8ANUvu8daU+vTpg9jYWKxduxalpaVyh1Mt3nInCjp1RDqea+748eM4fvw4QkND5Q6lEp7zpkfNknNBQUFyh2BEoVDgscceQ1xcHPcH5XnLnShoUgLpeK25y5cvY+fOnZgyZQoXA3oq4jVv5VGz5BwPw7orcnZ2xsMPP4zS0lIcPXqU21NKeMydCEQYxs8rXmvu7t27GDduHBo1aiR3KCbxmrfyxBjWWIfx/I2ruLgY+/fvR3FxMQYOHCh3OJXwnDue0ZaldLzVXFZWFpycnDBgwAC5Q6kWb3kzhbYsOcfzN67AwEA899xzOHz4MI4dOyZ3OJXwnDue0ZaldDzVXF5eHr788kucOnVK7lDM4ilvVaFmyTk/Pz+5Q6hWeHg4nn32WZw6dQoajUbucIzwnjteKZVKuUMQFi81V1hYiC+//BIPPfQQl3t9KuIlb9WhZsm5oqIiuUMwq2HDhpg9ezacnZ25utSOCLnjkQjnvPGKl5rbvXs3wsLCMHbsWCFO+Oclb9WhZsk5Uc55UygUuHfvHpYuXYpr167JHQ4AcXLHG57OvxON3DWnVquh0+kwYsQITJgwQZi/pdx5s4QYmazDeB1pakq9evUwZswYrF+/nouGKVLuSO0gZ82p1WqsXbsW+/fvh1Kp5P7UrvJEWFepWXJOtCtAdOjQAWPHjsU333wj+64V0XLHCxE+uHglV82pVCqsXr0aWq0WvXr1kiWGmhBhXaVTRzgn4jD+9u3bo3HjxvD09IRKpZJtwIiIueOBSFskvJGr5jZu3AgnJyc888wzcHNzkyWGmhBhXaUtS84VFBTIHYIkvr6+honXL1++LEsMouZObjTARzpH15x+0vuhQ4diypQpQjZKQIx1lZol5/z9/eUOQTJPT0+MHj0aX3/9Nf744w+Hv77IuZMTnToinSNrrrCwEJ9++in++usvRERECDFIpioirKvULDmXlZUldwg10qZNGzzzzDPYtm0bbty44dDXFj13cqFJCaRzVM1lZWVhxYoVCAgI4HYKO2uIsK7SMUvO8TjpsbWaNm2K2bNnIzg4GCUlJVAqlQ4596s25E4OHh4ecocgLEfUXFFREVasWIHWrVtj5MiRwpweUh0R1lXxs1zL8XSSf02EhIRAoVDgu+++w48//uiQCwzXltw5WnFxsdwhCMveNafVauHp6YkJEybg0UcfrRWNEhBjXa0dma7FRNiXb41Ro0YhOTkZ69ats/vuvtqWO0ehY5bS2bPmEhMT8Z///AdarRaNGzcWYmYeS4mwrlKz5JwIo8Ss4efnh5kzZ0Kr1eLHH3+062vVttw5Co2Glc4eNccYw2+//YYff/wRI0aMqJWn9oiwrtIxS87Vxm/5Hh4eePbZZ1FUVATGGNLT0+1y9fbamDtHqI0fxo5ij5o7fPgwTpw4gRdffBGRkZE2f34eiLCu0pYl50SY2UIKJycneHt74/bt21i2bBn+97//2fw1amvu7M0Rx5NrK1vWXG5uLtRqNbp06YLZs2fX2kYJiLGuUrPkXG2feqxBgwaGU0t27dpl0w/q2p47wh9b1dytW7ewfPlyJCYmwt3dHd7e3jZ5Xl6JsK5Ss+ScyCcaW6pp06Z46aWXcO3aNdy/f99mz1sXcmcPtWWEpRxqWnOMMZw8eRIrV65E//790alTJxtFxjcR1lU6Zsm54uJiIeZNrKmQkBDMnj0bCoUC58+fh7e3N6Kjo2v0nHUld7bG20W8RVLTmisuLsaRI0cwdepUNGnSxIaR8U2EdZW+QnLO19dX7hAcRj8UvqioCKtWrcKhQ4dqtHumLuXOlkSdX5QHUmsuLS0NCQkJ8PT0xMsvv1ynGiUgxrpKzZJz2dnZcofgcF26dMGMGTNw5MgRbNiwQfJxzLqYO1tQqVRyhyAsKTV3+vRpfPLJJ8jPzweAWnX+pKVEWFdpNyznRJgGyh4aNGiAuXPn4tKlS3ByckJxcbHV07DV1dzVFE13J521Nbd161acP38ekydPRtOmTe0UFf9EWFdpy5JzIkwDZS+enp7o2LEjdDodPvnkE+zYscOqE+brcu5qgqa7k87SmsvLywMAtGjRAnPnzq3TjRIQY12lZsm5gIAAuUOQnZOTE6ZOnYqUlBR8/PHHuHfvnkWPo9xJI8IJ4rwyV3NqtRo7duzA0qVLUVpaiubNmwtxvM7eRFhXqVlyLjc3V+4QuBAcHIwXX3wRbdq0wdGjRy16DOVOmtLSUrlDEFZ1NaefgOP27duYOXMmDaQqR4R1lY5Zcs7Ly0vuELjh7OyM+Ph4MMagVquxadMm9OvXDw0aNDC5POVOGhHOeeOVqZpjjEGhUODatWuIi4tD37596VzWCkRYV+kvxjn6ll+ZQqGAk5MT6tevjy+++AI///yzyTxR7qQRYeoxXlWsuStXrmDZsmXIz89H//790b9/f2qUJoiwrtJfjXN1cRi5JZydnTFgwADMmTMHKSkp2LFjR6VlKHfE0fQ1l5+fj40bN2Ljxo3o1q1brZ+urqZEWFdpNyzn6AoQ1QsNDcWLL74IlUoFnU6HnTt3omfPnggKCqLcSURbPtLpa04/ocarr75KA3gsIMK6SmsF5+gEcfMUCgXc3d2hVquhVqvx0Ucf4b///a/hJG9iHdoNK82NGzewcuVKlJSUYOjQoZg4cSI1SguJ8DlHW5aco903llMqlRgzZgy6du2K7du34/79+5g8ebLcYQmHBvhYJyMjAzt37sRff/2Ffv36wdXVlbbOrSTC5xz9RTmXk5MjdwjCqV+/PmbOnIl+/fqBMYZt27bhxo0bcoclDBG+5fNAP2/xgQMH4OPjg9deew1t2rQRYpcib0T4nKMtS86JMA0UjxQKBRo0aACdTgd/f3+sX78eDRs2xNChQ1GvXj25w+MaTXdXPZVKhSNHjuD8+fOYNWsWxowZYxigIsIWEo9E+JyjLUvOiTANFK8yMjLg5OSEfv364Y033kBERAS2bdsGxpgQF5uVC013ZxpjDIcOHcJ7772Hy5cv45FHHoGzs7PRSE5aX6URIW+0Zcm5wMBAuUMQVvnceXp6Yvjw4YYTxL/++mu4urqiX79+CAsLkzFK/vB+XUFH02g0yMvLQ2BgIPLz8zFu3Dg0b97c5OkOtL5KI0LeaMuScyJcuoZXpnKn/4AbNmwYXFxcsGzZMmzYsAEFBQWODo9bJSUlcofAhZKSEhw8eBDvvfcedu3aBQAYPnw4WrRoUeV5gbS+SiNC3mjLknM+Pj5yhyCs6nIXFBSEsWPHIj4+HgkJCfDw8EB2djays7MRHR0txEnS9kJzlgKZmZlYtmwZwsPD8dhjj6FFixYWPY7WV2lEyBs1S86VlJTQh5dEluTOz88PgwcPBgDcu3cP3377LYKCgtCrVy+0a9cOLi51bxWpq+dZpqWl4dixY4iLi0PDhg3x3HPPVTnvcFVofZVGhLzVvU8CwdTFD2tbsTZ3LVu2xFtvvYU//vgDBw4cQEFBAfr06QOVSlWnLltV17aqr1+/jt9++w23bt1Cu3bt4O3tbRhNbS1aX6URIW/8R0iIAymVSnTv3h3dunWDTqdDaWkpFi1ahKZNm6JLly6IiYmpc82kNsrNzcVff/2FDh06oKSkBLGxsXj66aeFuPoFkQc1S86p1Wq5QxBWTXKnUCjg7OwMZ2dnzJ49GwkJCfj222/h6emJV155xbBMbaTT6eQOwS60Wi0uXLiAM2fO4Nq1a4iNjUW7du3QunVrm70Gra/SiJA3apac8/T0lDsEYdkqd0FBQRg+fDiGDBmC+/fvQ6FQYP/+/bhy5Qo6deqE1q1b16rTLWrTdHeMMdy6dQu+vr7w8/PDkSNHEBsbi1GjRtnldAVaX6URIW/ULDmXl5eHoKAgucMQkq1z5+zsjMjISABA586d4erqiiNHjmDr1q0YO3Ys4uLioNVqhZ/urDZMd5eWlobExEScPXsWRUVFGDt2LAIDAzFz5ky7vi6tr9KIkDdqlpwT4WRdXtkzd97e3ujVqxd69eqF9PR0uLm5QafT4d1330X9+vXRtm1btGjRQsip40TcStbpdEhOTkZmZiY6deqEGzduICsrC8OHD0fz5s0dNoCE1ldpRMgbNUvOZWZmCjFvIo8clbuQkBDD/2fMmIE///wThw4dwg8//ICFCxdCq9UiOzsbkZGRQhznFGlSgry8POzZsweXLl0CYwwdOnQAAPTs2RM9e/Z0eDy0vkojQt6oWXKO9wLimRy5CwkJwYABAzBgwAAUFBRAqVTi2rVr2LBhA9zc3BAbG4u2bdsiNjbW4bFZitetYa1Wi5SUFFy9ehVXr17FxIkT4eXlBU9PT0ycOBHR0dGyXxqL1ldpRMgbNUvOZWRkCFFIPJI7d/orUDRt2hTvvPMOkpKScOXKFdy+fRuxsbE4cOAA0tPT8dBDDyE6OhqBgYFcbHnyMpF6SUkJUlJS4Ovri/DwcHz88cfIy8tD06ZN0aNHD3h6ekKpVGL48OFyh2ogd82JSoS8CdMs3333XezatQtnz56Fm5ubRdc/Y4xh4cKFWLVqFbKzs9GlSxd89tlnaNmypf0DthE/Pz+5QxAWT7lzdnZGkyZN0KRJE8Nt0dHRKCoqQkJCAn744Qc8+uij6NatG06fPg0fHx/Uq1dPlmnA5JiAQaPRoKioCL6+vjh16hSOHj2K1NRUBAQEYPDgwQgPD8fUqVPh6+vLxReKqvBUcyIRIW/CNMvS0lKMHTsW3bp1w5o1ayx6zJIlS7B06VKsX78eTZs2xaJFizBw4EBcvXpViLkIAaCoqEiIQuIR77lr1KgRGjVqBKDsPDP9+Y1JSUlISkpCeno6fH19MX36dISEhODs2bMICQlBaGioXRuaPc95Y4yhoKAAPj4+uHPnDo4ePYq7d+/i/v37aNasGaZOnYqgoCD0798f0dHR8PX1NTyW57+lHu81xysR8iZMs1y4cCEAYP369RYtzxjD8uXL8eabb2L06NEAgA0bNiAsLAybN2/G9OnT7RWqTfE+XyLPRMpd+XMbH3/8cQBluyHv3buHwMBAFBcX4/jx43jw4AGKiorg7++PN954Azk5Ofjzzz/h7+8PPz8/BAQEICAgoEax1OTUF8YYCgsLkZeXZ9hlmpeXh+3btyMjIwOZmZlQKpVYuHAhnJycEBgYiFatWiEyMtIQd+PGjWsUv5xEqjmeiJA3YZqltZKSkpCWlob4+HjDbUqlEr1798bx48erbJYqlcroPLO8vDy7x1qd2jqbiiOInjt3d3c89NBDAMqaqf4cwcLCQmRlZcHJyQmlpaW4e/cuLl26hJycHHh6emLOnDlITEzEgQMH4OnpCU9PT0RHR6NXr15ITk5Gamoq3Nzc4OLigpCQEERGRuL+/fsoLi6Gk5MT8vLykJubCz8/P6SkpKCoqMgw9V+DBg0QGBiIAwcOIDc3FyUlJSguLsbw4cMRGBiIN954A1qtFh4eHvD19cULL7wApVKJJk2aoGvXrggODjacJhAZGWk4b7W2EL3m5CJC3mpts0xLSwOAShf2DQsLw61bt6p83Pvvv2/Yii2vtLQUmZmZCAgIQFZWFoKDg5GRkQE/Pz8UFhZCqVRCq9WCMQY3NzcUFhbCz88P2dnZhmUDAgKQl5cHDw8PqNVqKBQKuLi4oLi4GD4+PsjJyTEsGxgYiJycHOh0OsOJ7voPR09PT+Tm5hqWDQoKQlZWFnx9fVFUVGTYStFoNHB3d0d+fn6luP39/Q2jNaXE7ezsDJVKBW9vb5Nxe3t7o6SkxHAlebVabYg7KCgImZmZhn/9/PwMcTPGoNVq4e7ujoKCAvj7+5uN29XVFcXFxfD19TWKWx+jl5cXSktLzcadnZ0NHx8flJSUGM7L08etv/ivfoi7/m9fVFRkOMdSq9VCqVSisLDQZNz5+fnw8PCARqOpNu6AgADk5uaajNvLywvFxcWIiopCRkYGQkNDMWTIEEPczs7OKCoqQlBQEPr162c4B1Sj0QAAbty4gb/++gv5+flQKBRo0aIFvL29cfjwYSQmJsLNzQ3nz5/HpUuXEBMTg0OHDiEpKQlKpRLOzs7o378/PD09Dc/r4uKCmJgYFBQUIDAwEM899xzCwsKg0+kMNatSqdC1a1eTNevj44Pi4mJDzarVanh4eCA/P99kvvXrWsV8V6zZ8vm2dF3z8vKCSqUyitvLy8uqdS0zMxMeHh4O/YyoGLeInxGFhYXQaDSyfEZYSsEYYxYvbWMLFiww2ZjKO336NDp27Gj4ff369Zg9e7bZAT7Hjx9Hjx49cO/ePURERBhunzZtGm7fvo09e/aYfJypLcuoqCjk5uYaHT9xlLp2xQtbotxJ89JLL+Hjjz+WOwwhUc1JI1fe8vLy4OfnZ9Hnu6xbljNnzsQTTzxR7TL6ARDWCg8PB1C2hVm+WT548KDS1mZ5SqWSq2LXfyMl1qPcSSPCpNa8opqTRoS8ydosg4OD7XZuTXR0NMLDw7Fv3z60b98eQNmu1EOHDmHx4sV2eU178Pf3lzsEYVHupOH9Q4tnVHPSiJA3eae7sEJKSgrOnj2LlJQUaLVanD17FmfPnkVBQYFhmdjYWGzfvh1A2eWTZs+ejffeew/bt2/HhQsXMHnyZHh6emL8+PFyvQ2rZWVlyR2CsCh30og03R1vqOakESFvwgzwefvtt7FhwwbD7/qtxQMHDqBPnz4AgKtXryI3N9ewzKuvvori4mK88MILhkkJ9u7dK8w5loAY00DxinInDa/T3YmAak4aEfIm6wAfEVhzANgeRJgGileUO2lmzJiBL774Qu4whEQ1J41cebPm812Y3bB1lQj78nlFuZOGjllKRzUnjQh5o2bJufz8fLlDEBblTprS0lK5QxAW1Zw0IuSNmiXn6PiRdJQ7aRx1oeTaiGpOGhHyRs2Sc/qZV4j1KHfSiDD1GK+o5qQRIW/ULDlH46+ko9wRR6Oak0aEvFGz5Fz5q1EQ61DupHFyoo8FqajmpBEhb7RWcI6Xq9aLiHInjQi7xHhFNSeNCHmjZsk5Oc7trC0od9KIcG1BXlHNSSNC3qhZci47O1vuEIRFuZOm/FV3iHWo5qQRIW/ULDlHs4FIR7mTRoRh/LyimpNGhLxRs+RcRkaG3CEIi3InjQjHj3hFNSeNCHmjZsm5gIAAuUMQFuVOGpruTjqqOWlEyBs1S86Vv4oKsQ7lThqa7k46qjlpRMgbNUvOeXl5yR2CsCh30ohwzhuvqOakESFv1Cw5R9/ypaPcSaPVauUOQVhUc9KIkDdqlpxTKBRyhyAsyh1xNKo5aUTIGzVLzjk7O8sdgrAod9LQdHfSUc1JI0LeaK3gHJ0gLh3lThraDSsd1Zw0IuSNmiXnRDjwzSvKnTQ0wEc6qjlpRMgbNUvOiTCkmleUO2lE+JbPK6o5aUTIGzVLzokwDRSvKHfS0HR30lHNSSNC3qhZck6EaaB4RbmThqa7k45qThoR8kbNknOBgYFyhyAsyp007u7ucocgLKo5aUTIGzVLzolw6RpeUe6kKSkpkTsEYVHNSSNC3lzkDoB3jDEAQF5enmyvL9dri45yJw3lTTrKnTRy5U3/mvrP+eoomCVL1WF37txBVFSU3GEQQgixk9u3b6N+/frVLkPN0gydTod79+7Bx8fH4VMy5eXlISoqCrdv34avr69DX1t0lDtpKG/SUe6kkTNvjDHk5+cjMjLS7MxVtBvWDCcnJ7PfOOzN19eXVj6JKHfSUN6ko9xJI1fe/Pz8LFqOBvgQQgghZlCzJIQQQsygZskxpVKJ+fPnQ6lUyh2KcCh30lDepKPcSSNK3miADyGEEGIGbVkSQgghZlCzJIQQQsygZkkIIYSYQc2SM++++y66d+8OT09P+Pv7W/QYxhgWLFiAyMhIeHh4oE+fPrh48aJ9A+VMdnY2Jk6cCD8/P/j5+WHixInIycmp9jGTJ0+GQqEw+unatatjApbR559/jujoaLi7uyMuLg5HjhypdvlDhw4hLi4O7u7ueOihh7By5UoHRcoXa/J28ODBSrWlUChw5coVB0bMh8OHD+ORRx5BZGQkFAoFduzYYfYxPNYcNUvOlJaWYuzYsZgxY4bFj1myZAmWLl2KFStW4PTp0wgPD8fAgQORn59vx0j5Mn78eJw9exZ79uzBnj17cPbsWUycONHs4wYPHozU1FTDz+7dux0QrXy2bNmC2bNn480330RiYiJ69eqFIUOGICUlxeTySUlJGDp0KHr16oXExES88cYbmDVrFrZu3ergyOVlbd70rl69alRfMTExDoqYH4WFhWjbti1WrFhh0fLc1hwjXFq3bh3z8/Mzu5xOp2Ph4eHsgw8+MNxWUlLC/Pz82MqVK+0YIT8uXbrEALATJ04YbktISGAA2JUrV6p83KRJk9jIkSMdECE/OnfuzJ5//nmj22JjY9lrr71mcvlXX32VxcbGGt02ffp01rVrV7vFyCNr83bgwAEGgGVnZzsgOnEAYNu3b692GV5rjrYsBZeUlIS0tDTEx8cbblMqlejduzeOHz8uY2SOk5CQAD8/P3Tp0sVwW9euXeHn52c2BwcPHkRoaCiaNm2KadOm4cGDB/YOVzalpaX4448/jGoFAOLj46vMU0JCQqXlBw0ahDNnzkCtVtstVp5IyZte+/btERERgf79++PAgQP2DLPW4LXmqFkKLi0tDQAQFhZmdHtYWJjhvtouLS0NoaGhlW4PDQ2tNgdDhgzBpk2bsH//fvznP//B6dOn0a9fP6hUKnuGK5uMjAxotVqraiUtLc3k8hqNRoir29uClLxFRERg1apV2Lp1K7Zt24ZmzZqhf//+OHz4sCNCFhqvNUcTqTvAggULsHDhwmqXOX36NDp27Cj5NSpeEYUx5vCrpNiapXkDKr9/wHwOxo0bZ/h/q1at0LFjRzRs2BC7du3C6NGjJUbNP2trxdTypm6v7azJW7NmzdCsWTPD7926dcPt27fx0Ucf4eGHH7ZrnLUBjzVHzdIBZs6ciSeeeKLaZRo1aiTpucPDwwGUfRuLiIgw3P7gwYNK385EY2nezp07h/v371e6Lz093aocREREoGHDhrh+/brVsYogODgYzs7OlbaGqquV8PBwk8u7uLggKCjIbrHyREreTOnatSs2btxo6/BqHV5rjpqlAwQHByM4ONguzx0dHY3w8HDs27cP7du3B1B2jOXQoUNYvHixXV7TUSzNW7du3ZCbm4tTp06hc+fOAICTJ08iNzcX3bt3t/j1MjMzcfv2baMvHbWJm5sb4uLisG/fPowaNcpw+759+zBy5EiTj+nWrRt27txpdNvevXvRsWNHuLq62jVeXkjJmymJiYm1trZsiduak3N0Eans1q1bLDExkS1cuJB5e3uzxMRElpiYyPLz8w3LNGvWjG3bts3w+wcffMD8/PzYtm3b2Pnz59mTTz7JIiIiWF5enhxvQRaDBw9mbdq0YQkJCSwhIYG1bt2aDR8+3GiZ8nnLz89nL7/8Mjt+/DhLSkpiBw4cYN26dWP16tWr1Xn77rvvmKurK1uzZg27dOkSmz17NvPy8mLJycmMMcZee+01NnHiRMPyN2/eZJ6enmzOnDns0qVLbM2aNczV1ZX9+OOPcr0FWVibt2XLlrHt27eza9eusQsXLrDXXnuNAWBbt26V6y3IJj8/3/A5BoAtXbqUJSYmslu3bjHGxKk5apacmTRpEgNQ6efAgQOGZQCwdevWGX7X6XRs/vz5LDw8nCmVSvbwww+z8+fPOz54GWVmZrIJEyYwHx8f5uPjwyZMmFBp2H75vBUVFbH4+HgWEhLCXF1dWYMGDdikSZNYSkqK44N3sM8++4w1bNiQubm5sQ4dOrBDhw4Z7ps0aRLr3bu30fIHDx5k7du3Z25ubqxRo0bsiy++cHDEfLAmb4sXL2aNGzdm7u7uLCAggPXs2ZPt2rVLhqjlpz+NpuLPpEmTGGPi1BxddYQQQggxg04dIYQQQsygZkkIIYSYQc2SEEIIMYOaJSGEEGIGNUtCCCHEDGqWhBBCiBnULAkhhBAzqFkSQgghZlCzJITUyIIFC9CuXTu5wyDErqhZElKLTZ48GQqFAgqFAi4uLmjQoAFmzJiB7OxsuUMjRCjULAmp5QYPHozU1FQkJydj9erV2LlzJ1544QW5wyJEKNQsCanllEolwsPDUb9+fcTHx2PcuHHYu3ev4f5169ahefPmcHd3R2xsLD7//HOjx8+bNw9NmzaFp6cnHnroIbz11ltQq9WOfhuEyIquZ0lIHXLz5k3s2bPHcF3Ar776CvPnz8eKFSvQvn17JCYmYtq0afDy8sKkSZMAAD4+Pli/fj0iIyNx/vx5TJs2DT4+Pnj11VflfCuEOBQ1S0JquV9++QXe3t7QarUoKSkBACxduhQA8O9//xv/+c9/MHr0aABlFxO/dOkSvvzyS0Oz/Ne//mV4rkaNGuHll1/Gli1bqFmSOoWaJSG1XN++ffHFF1+gqKgIq1evxrVr1/CPf/wD6enpuH37NqZOnYpp06YZltdoNPDz8zP8/uOPP2L58uW4ceMGCgoKoNFo4OvrK8dbIUQ2dMySkFrOy8sLTZo0QZs2bfDJJ59ApVJh4cKF0Ol0AMp2xZ49e9bwc+HCBZw4cQIAcOLECTzxxBMYMmQIfvnlFyQmJuLNN99EaWmpnG+JEIejLUtC6pj58+djyJAhmDFjBurVq4ebN29iwoQJJpc9duwYGjZsiDfffNNw261btxwVKiHcoGZJSB3Tp08ftGzZEu+99x4WLFiAWbNmwdfXF0OGDIFKpcKZM2eQnZ2NuXPnokmTJkhJScF3332HTp06YdeuXdi+fbvcb4EQh6PdsITUQXPnzsVXX32FQYMGYfXq1Vi/fj1at26N3r17Y/369YiOjgYAjBw5EnPmzMHMmTPRrl07HD9+HG+99ZbM0RPieArGGJM7CEIIIYRntGVJCCGEmEHNkhBCCDGDmiUhhBBiBjVLQgghxAxqloQQQogZ1CwJIYQQM6hZEkIIIWZQsySEEELMoGZJCCGEmEHNkhBCCDGDmiUhhBBiBjVLQgghxIz/A281rr8MOODWAAAAAElFTkSuQmCC" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 4 }, { "cell_type": "markdown", "id": "bj11", "metadata": {}, "source": "All three AR parameters should have narrow confidence intervals that exclude zero — no order reduction indicated. There are no zeros ($n_c = 0$), so the pole-zero plot shows only poles.\n\nValidation checks:\n1. **Residual ACF/PACF/GPAC** — residuals should resemble white noise.\n2. **Portmanteau test** — chi-square test on the residual ACF.\n3. **Theoretical vs experimental ACF** — the fitted model should reproduce the autocorrelation structure of u." }, { "cell_type": "code", "id": "bj12", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:51:17.068092Z", "start_time": "2026-06-09T18:51:16.885919Z" } }, "source": "e_u = u - pmod_u.predict(u)\nuracf, urpacf, urgpac = uniAnal(e_u, 20, 10)\n\npassed_u, q_u, n_u, pval_u = uniChi(pmod_u, u)\nprint(f'Portmanteau test: Q = {q_u:.2f}, df = {n_u}, p-value = {pval_u:.3f}')\nprint(f'Result: {\"PASS\" if passed_u else \"FAIL\"}')\n\nvar_e_u, _ = pmodmse(pmod_u, u)\nlagmax = 21\nacf_theory_u, _, _ = partoacf_pmod(pmod_u, var_e_u, lagmax)\nuacf_s = uacf.squeeze()\nmid = len(uacf_s) // 2\nacf_exp_u = uacf_s[mid:mid + lagmax]\n\nlags = np.arange(lagmax)\nfig, ax = plt.subplots(figsize=(12, 4))\nax.plot(lags, acf_exp_u / acf_exp_u[0], 'C0o-', label='Experimental (u)')\nax.plot(lags, acf_theory_u / acf_theory_u[0], 'r-o', markersize=4, label='Theoretical (ARMA fit)')\nax.set_title('ACF of u: Experimental vs Theoretical')\nax.set_xlabel('Lag')\nax.set_ylabel('Normalised autocovariance')\nax.legend()\nplt.tight_layout()\nplt.show()", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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Hu9NPP10XXHCBFi5cqHvuuUeFhYV65JFHlJqaGuxSLMObD1A1PkjmIDCEvsZ8LmJiY/lCFQQnDjPxeWBOHcNREHgOh0M5ObvUu3cvJScn13q8yuVWSWmFCZVZnynLnTz00ENyuVwaMWKErrjiCl1yySWaOXOmGaVYwvEP0EcNtgbxQTJHY4M0oSH4li1bXudJqC4xsbFavGhJnetvwn9SU1OVm5urw4cP6/Dhw0o8fFjy5WcPC56YpU+ffrLZopWfX+L5+emnY8rPL9GRwtKQ6r60Ei4p9otwX6C42oktdydfBinED7Wlbdq0QXPn3uZ1V2x1aJgy5coAV4aTud3uWmvT1XVJsbi4OEJdgOXn56t9+3i/f8FhJqZ5uKRY0/fVEILdL6wS7E5ktQ9QuKsrMEiEhnDAZ8kcbrdb0dE2tWnTxm/brHK5daSwjplKCAqrfZZCMdhx5gCCxOFweCYMnchqf+gAf2lonJavGI6C5oBgBwAIWdXXts7PL2nwuXW1fp8oxDuoAL8g2AEAQp43ocwwCG+AKbNiAQAA4H8EOwAAAIsg2AEAAFgEwQ4AAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALCLC7AKaC5fLpaKioqDu0+l0qLzcHdR9xsfHy+FwBHWfAADgOIJdEGRnr1FGxhwdPVpsdikBk5qaqqysLNlsNuXk7FKfPv3MLgkAgGbHZhiGYXYR9Tl8+Keg7CcpKTYg+3O5XOrZ8wxLhzq73a7c3Fy1a9dOkpSXlyebLdrkqsKH0xmh8nKX2WWgHhyj8MBxCn1WO0aByg717ashjLELsKKiIkuHOklKSEjwhDpJSk5Ols1mM7EiAACaJ4IdAACARTDGzgSfS0o0uwg/om0OAIDQQLAzQaKkJLOLAAAAlkNXLAAAgEUQ7AAAACyCYAcAAGARjLEDAABea8qVlBp7RSSuauQ9gh0AAPBKsK+kxFWNfEewA9BsebuQts3m3XND/EI+QJO4XK6ghjq73a7MzEzFxcVJknr37hWU/YY7gh2AZsfpjFBMTAvZ7d6vwhhbz9V8srOzlZaWJklatmy5xoyZ0NQScQJvu/4a6uajO69pgn0lpbquapSfX8IXqAYQ7AA0O76Guvq43W6lp6eruPj4CW/u3Ns0atRYAoSf+KPrj+48NCcEOyAI6uvGO1U3H99KA8Nms/kt1ElSQUGB8vLyPLfz8vJUWFioxEQrXV/GHP7o+qM7L7ACeSUlrmrUOAQ7IIC87fI7sZuPbj3gOH90/dGdF1hcSSn0EOyAAPK1y49uPXP0Wt5L+aX5jXptVUmVn6sBgMYzNdgVFBRo6tSpWrBggQYNGmRmKYDfNabLj249c+SX5jc62OmYf2tB/Xzt+qM7D82NacHugw8+0O23367vv//erBIAAGGGrj+gfqYEu/Xr1+uhhx7SnDlzNGvWLDNKAEzRUJcf3XoAgKYwJdhdfPHFGj9+vCIiIgh2aFYa7PKjWw8A0ASmBLukJO8b0iMjHX5dmqAhTqd/3xKns3kOenc6HWruk868vKhBg5xOh9//XTZn/jou9eGY+Ueg/n7y96lxQuF8FqrHLpQ+76FTySlUVvp+seCmKC93+Xl7wa0/VJSXu5v9cgI2m63eqxV4q7zc7fd/l82Zv45LfThm/hGov5/8fWqcUDifheqxC6XPe8gHOyDcud1uFRQUSPplDF193a2lwakJAGBNBDsggLKzs5Wenl5jCRMAvrHb7UpISJDUiOVLWCoIzQzBDgigtLQ0z2LDCC0+taTWh1bWgEpNTVVmZmaNq0cAODXTg92XX35pdglAQPhjHEhMbKznGpfwH1pSw0dWVhafAcAHdrMLAKxs2bLlSk5ObtRrY2JjtXjREkVEmP79y3LS0tIIdWEgPj5eNj9PY65yhebge8BfOGMAATRmzASNGjVWhYWFp3yO0+moc7ZZXFwcoS4AAn1Sp5XVfxwOh3Jydql3716N/oJ0oiqXWyWlFX6orHlr0phHXzA+slE4awAB5nA46r3Wq9MZEVJT5ZuDZcuWa+7c2/zeakcrq//16dNPkpSfX9Lgc0/1JakaLXVNx5jH0MdfHwDNjjctqSdqKDBUo5U1cLwJZYZBeAs0xjyGPv4CAWiWGmpJPRGtqkBgxjz6gvGR3mHyBAAAaNDxMY8fmTLxiPGR3qPFDgAAeMWXMY918XZYw8loqfMewQ4AAPiksUGLcZCBR1csAACARRDsAAAALIJgBwAAYBGMsQuSoK3UbQZWBwcAICQQ7IKAlboBAEAw+NQVW1paGqg6LC0rK4tQBwAAAs6nYDdu3DiVlDRu7ZrmyuyVus3A6uAAAJjD58kTx44dC0QdlmXmSt1mYHVwAADM49MYu0GDBmnKlCkaMmSIkpOTazyWnp7u18KspKkrdTdWY1f4bgpa6gAAMI9Pwe7AgQPq3Lmzvv32W3377bee+5tbV2NjBTv0sMI3AADNi0/BbvXq1YGqAwAAAE3k8xi7ffv2acGCBUpPT1dhYaGeeeaZQNQFAAAAH/kU7P79739rypQpKiws1LvvvquysjItX75cK1euDFR9AAAA8JJPwW7p0qX6+9//riVLlsjhcKh9+/ZauXKl1q5dG6j6AAAA4CWfgt3+/fs1ZMgQSf83YaJ3794qLi72f2UAAADwiU/BrkOHDtq1a1eN+z799FO1b9/er0UBAADAdz7Nir3hhhv0hz/8QdOmTVNlZaWysrK0evVq3XbbbYGqDwAAAF7yKdiNHTtWMTExevbZZ9WhQwe99957uuOOOzRq1KhA1QcAAAAv+RTsJGno0KEaOnRoIGoBAABAE3gV7DIyMhp8zv3339/kYgAAANB4Pk2eKCws1IYNG/TTTz8pLi5O5eXl2rhxoyoquOg7AACA2bxqsatujbvxxhv10EMPacSIEZ7H3nnnHT322GOBqQ4AAABe86nF7v3339fw4cNr3HfhhRdq9+7dfi0KAAAAvvMp2HXs2FGvvPJKjfteeOEFdenSxa9FAQAAwHc+zYqdNWuWbr31Vj377LNq3769Dhw4oL1799IVCwAAEAJ8arEbMWKEXn75ZV100UVq1aqVhg4dqg0bNmjQoEGBqg8AAABe8qnFbtKkSfrHP/6h9PT0QNUDAACARvKpxS4vLy9QdQAAAKCJfGqxGzFihK6++mqNGjVKycnJstlsnscmTpzo79oAAADgA5+C3dtvvy1JWrt2bY37bTYbwQ4AAMBkPgW7bdu2BaoOAAAANJFPwW7fvn3asmWL8vLylJycrJEjR6pbt26Bqg0AAAA+8HryxKOPPqpx48YpOztbe/bs0bPPPqvx48fr4YcfDmR9AAAA8JJXLXZvvvmmnnrqKWVlZeniiy/23L9t2zZlZGTo3HPPrXWpMQAAAASXV8Fu9erVysjIqBHqJCklJUXz5s3T6tWrCXYIay6XS0VFRabs2+l0qLzcHfT9xsfHy+FwBH2/AIDA8SrYff7553r00UfrfGzkyJFavHixX4sCgik7e40yMubo6NFis0sJitTUVGVlZclmsyknZ5f69OlndkkAAD/xKtiVlZXVWLPuRFFRUXK7g9/aAPiDy+VqVqHObrcrMzNTcXFxkqTevXuZWxAAwK+8mjzRqVMnffjhh3U+9tFHH6lTp05+LQoIlqKiomYT6iQpISFB7dq189w+eaFxAEB48yrYjR8/XgsXLlRJSUmN+/Pz83XfffexODEAAEAI8KordsaMGXr77bc1cuRIDR8+XImJicrNzdX27dt17rnn6uqrrw50nUDQfC4p0ewiAoS2OQCwNq+CXWRkpJ544gn985//1GuvvaacnBwlJyfrlltu0ZVXXim73evl8ICQlygpyewiAABoBK+vPBEZGalrrrlG11xzTSDradb8PdbJZvPvNg3D8Nu2AACA//l0STEEhtMZoZiYFrLb/d9RFhvb9G1kZ2crLS1NkrRs2XKNGTOh6RsFAAB+Rx9qCAhUqPMHt9ut9PR0FRcXq7i4WHPn3sbyNgAAhCiCnclsNlvIhjpJKigoUF5enud2Xl6eCgsLTawIAACcik/B7t5776215AkAAABCg09j7F5++WVlZGQEqhb8otfyXsovzTe7DElSVUmV2SUAAAAv+RTsJk+erHvuuUeTJk1SUlJSjRmXHTp08HtxzVV+aX7IBDsdM7sAAADgLZ+C3ZNPPilJeu655yQdHx9mGIZsNpv27Nnj/+oAAADgNZ+C3euvvx6oOgAAANBEPgW7jh076ueff9Zbb72lgwcPKjk5WcOHD1fr1q0DVR8AAHK5XCoqKqr3OU6nQ+XldS/HFB8fL4fDEYDKgNDiU7Dbv3+/rr32WlVWVqpDhw7Kzc3V4sWL9fTTT+uss84KVI0AgGYsO3uNMjLm6OjRYp9fm5qaqqysLNlsNuXk7FKfPv0CUCEQOnxa7uT+++/X6NGjtX37dj333HPavn27Lr/8ci1atChQ9QEAmjGXy9XoUGe325WZmam4uDi1adNGvXv3CkCFqI/NZjvpp+Z98D+fgt3HH3+sWbNmyW4//jK73a5bb71VH3/8sU87/eKLLzRjxgwNHDhQgwcP1ty5c1VQUODTNgAA1ldUVNSoUCdJCQkJateuned2cnIyYSJInM4ItW0bo8TEmj+xsdFKTIzRG2+8om7dOumsszpr06YNZpdrKT4FO4fDUWuB4pKSEkVHR3u9jbKyMl133XXq27ev3nnnHW3cuFFFRUWaP3++L6UAQMCd3MoAwDv1XSqTS1UGlk/Bbvjw4Zo9e7a++eYbVVRUaN++fZozZ46GDx/u9TZyc3PVs2dP3XTTTYqKilJ8fLymTp2q//znPz4XDwCBcHJrw+bNG2ldCCGfS8rz4odFuMzR0KUyuVRlYPk0eWL27Nm6+eabNWbMGM+316FDh2r27Nleb6Nr165atWpVjfu2bNmic845x5dSACBgYmJayDCqdPhwgdxut6ZOnSrDMCRJc+feplGjxjLD0kSJkpLMLgIIUT4Fu7i4OK1evVo//PCDjhw5oo4dOyopKanR1481DEP/8z//ozfeeEPPPPNMo7YBAP5ks9n0/PPrlJ6eXqNVoVp160JiYqIJ1QHh6cRLZXKpysDyKdgNHDhQO3fuVOfOndW5c2fP/cOGDVNOTo5POy4pKVFGRoZ2796tZ555Rj169KjzeZGRjnqbdP3N6fTpLWmycBy243Q6gv4+BYrTSauL0+nQL41R0PHPZFpamoqLTz1g30qfgVDn788o/94Dr/q85na7PRMj8/LyVHDsl0mSpbVfE+6fqVCqvcFK9u/fr7/85S8yDEMlJSW6+uqrazxeUlLi8wLF33//vdLS0tShQwetW7dOCQkJp3xuZWVwB1SWl7uCuj+bzabY2KDussnKy91Bf58C5VSLmTYn5eVuTzcjGhYTG6vo6FjLfAZCnb8/o/x7DzybzabNm7NP2epdl3A/r4RS7Q0Guy5dumjkyJEqLCzUrl27NHDgwBqPR0VFKSUlxesdFhcX65prrtGvf/1r3XfffZ6lUwAgVCxbtlxz595W66QUExurxYuWKCIidL6dNxd2u93TCOB1Rwfd5aZpqNUbgePVX6ff/e53kqROnTpp4sSJTdrhCy+8oNzcXL3yyivavHlzjcc+/PDDJm0bAPxhzJgJGjVqrGemXvWlquLi4gh1JkhNTVVmZmaNNekQunxtEY2JjVVcXFxgimmGfPoLNXHiRL333ns6dOiQ58BVVlbqyy+/1J133unVNmbMmKEZM2b4XikABJHD4fBMkHA6I0Kqq6W5ycrK4sQfZk7V6n0yWsH9z6d3csGCBVqzZo1atWol6fjAyJ9//lmXXHJJQIoDADRv8fHxflscusrF+LpgObnVu1p163c1WsH9z6d385VXXtEzzzyjY8eOacOGDVq4cKEWL16s0tI6prgAANBEDodDOTm71Lt3LyUnJzd6O1Uut0pKK/xYGRpyYqt3NVq/A8+nYHfs2DGdf/75Onz4sHbv3i2bzab09HSNGTMmUPUBAJq5Pn36SZLy8+tfM/Xk1qAT0VKH5sKnYHfaaafpyJEjSkpK0o8//qjKykq1aNGi0QsUAwDgrYbCmWEQ4ACfgt3QoUN17bXX6umnn9aAAQM0f/58OZ1OnX766QEqDwAAAN7yaRG52267TZdffrkiIyP1l7/8RUVFRfr666+1YMGCQNUHAAAAL/nUYrdo0SLNmjVLMTExio2NVVZWVqDqanZOvPRKVUmVdMzkgqoxLwYAgLDhU7B7+eWXNX/+/EDV0mxlZ/t26RUAAIC6+BTsJk+erLvvvluTJk1SUlJSjbWFOnTo4PfimgsuvQIAAPzBp2D35JNPSpKee+45Sccv9GsYhmw2m/bs2eP/6pqBcJvBxaVfAAAIXT4Fu9dffz1QdTRr3l56xWxc+gUAgNDm0xm6Y8eOkqTPP/9cBw4c0LBhw/TTTz+pbdu2ASmuuTjVpVeaqr7FOhuDS78AABDafDpLHzlyRDfddJM+++wzRUZGat26dUpNTdUTTzyhvn37BqrGZqGuS680FZdu8Z7dbldCQoIkyT9XpQxRfv43BgAILT4Fu4ULF6p79+568sknNWTIEJ155pm6/vrr9be//U3/+7//G6gagYBKTU1VZmam2rVrZ3YpAAA0iU8LFL/33nvKyMhQdHS0Z0bsddddp6+//jogxQHBkJWVRagDAFiCT8EuMjJSZWVlkv5vNufPP/+sVq1a+b8yIAji4+NrLNvT3FS53GE3MxsAcGo+BbuUlBTNmTNH3333nWw2m44cOaK7775bQ4cODVR9QEA5HA7l5HwU8jOSA6HK5VZJaYXZZQAA/Mhm+PB1/eeff1ZGRoa2bt16/MU2m4YOHaoHHnhAsbGxASnw8OGfArLdkyUlxQZ1f8HA5AnfmNVy5+/Zy96ipc57fJbCA8cp9FntGAUzO1TvqyE+TZ5o1aqVHnroIRUUFOjAgQM67bTTlJyc3KgCgVBjVtAxDEIWAMA/fF6ULCcnRwcPHpRhGPrmm28890+cONGfdQEAAMBHPgW7u+66S+vWrVNycnKNbiubzUawAwAAMJlPwW7Tpk1au3atzj333EDVAwAAgEbyaVZsbGysunfvHqhaAAAA0AQ+tdj94Q9/0B133KHf//73at26dY3HOnTo4NfCAAAA4Bufgl15ebk2bdqkjRs3eu4zDEM2m0179uzxe3EAAADwnk/B7pFHHtGdd96piy++WHa7T724AAAACDCfgp3b7da0adMCVQsAAACawKdmt0mTJukf//hHoGoBAABAE/jUYvfJJ5/oySef1LJly9SmTZsaa9m9/vrrfi8OAAAA3vMp2KWmpio1NTVQtQAAAKAJfAp2v/3tbwNVBwCLcblcKioqMrsMv3A6HSovd5tdRpPFx8fL4XCYXQaAAPIp2E2fPr1G9+uJGHsHoFp29hplZMzR0aPFZpcCHe9tycrKks1mU07OLvXp08/skgAEiE/BbtCgQTVuFxYWavPmzZo6dapfiwIQvlwuF6EuhNjtdmVmZiouLk6S1Lt3L3MLAhBQPgW79PT0WvdNmjRJf/vb3/xWEIDwVlRURKgLIQkJCWrXrp3ndnJysvLzS2QYholVAQiUJq8yfM455+izzz7zRy0AAABoAp9a7HJzc2vcrqys1L/+9S+1b9/er0UBsJbPJSWaXUQzVfeoaABW5VOwS0lJqTF5wjAMtWnTRgsWLPB7YQCsI1FSktlFAEAz4FOwO3kRYofDobZt2yoyMtKvRQEAAMB3PgW7jh07BqoOAAAANJFXwe7kLtiT2Ww2vfbaa34rKhyF4mKsobaoKoujAgAQWF4Fu5tvvrnO+z/66COtXbtWZ599tl+LCjcsxlo/FkcFACA4vAp2dV1K7IknntDzzz+vadOmKSMjw++FhQsWY60fi6MCABA8Po2xk6SjR49q3rx5ysnJ0QMPPKDLLrssEHWFDRZjrR+LowIAEDw+BbuPPvpIs2bNUnx8vF544QV17tw5UHUBAADAR14Hu1WrVmnZsmWaOnWq5s6dq6ioqEDWFdZYjPX/hNPiqGZNgAn2JBcmsQCAdXkV7G688Ua99dZbuuqqqzRy5Eh9/PHHtZ4zYMAAvxcXrliMNfw0hwkwTGIBAOuzGV4MdurZs2f9G7HZtGfPHr8VdaLDh38KyHZPlpQU26j95efn6+yzu9a4L08EO4/EROnw4Rp3hdoYO5fLpZ49z7B0qLPb7crNzfWMd8zLy5PNFh2QffGZCDFh8Bn0F6czQuXlLrPLQD2sdowamx2asq+GeNVi98UXXzSpGCCUNYcJMExiAYDmwW52AQAAAPAPn5c7AZoDq02ACadJLACAxiPYAXVgAgwAIBzRFQsAAGARBDsAAACLINgBAABYBMEOAADAIgh2AAAAFkGwAwAAsAiCHQAAgEUQ7AAAACyCBYoBAGHB5XKpqKjolI87nQ6Vl7tr3R8fHy+HwxHAyoDQQbADAIS87Ow1ysiYo6NHi71+TWpqqrKysmSz2ZSTs0t9+vQLYIU4kc1W94UMbbbajxmGEYySmg2CHQAgpLlcLp9Dnd1uV2ZmpuLi4iRJvXv3ClB1OJHTGaGYmBay2099herY2OP/zc7OVlpamiRp2bLlGjNmQjBKtDxTxtjt2LFDU6ZMUb9+/TR48GDde++9KisrM6MUAECIKyoq8inUSVJCQoLatWvnuZ2cnHzKViT4T0Ohrprb7VZ6erqKi4tVXFysuXNvk9tduxsdvgt6sCsoKNANN9ygadOmKScnR+vXr9fOnTu1cuXKYJcCAAD8xGazeRXqpONZIC8vz3M7Ly9PhYWFgSqtWQl6V2xCQoLeffddxcTEyDAMFRUVqby8XAkJCcEuBQAQpj6XlFjP47TNobkyZYxdTEyMJGno0KE6dOiQ+vfvr0mTJplRCgAgDCVKSjK7CDSo1/Jeyi/Nr3V/VUmVCdU0D6auY7d161Zt375ddrtdt9xyi5mlAAAAP8svza/zp+BYgdmlWZaps2JbtGihFi1aaM6cOZoyZYqKi4vVpk2bGs+JjHR43WfvD06nb2+J08naSL5yOh0KpdntzfUYBuo4NNf3M5yE2mewIf76NxVuv3e4aercFKfT4fM5OFSEUt1Br2TXrl2aP3++NmzYoKioKElSRUWFIiMjFR0dXev5lZXBnSVTXu7y8fnM4vFVebk7pNYtaq7HMFDHobm+n+Ek1D6DDan+N2W32z3jsRvMEIm1R+CF2+8dbmw2m2Jjj894LSg43iJXVVIlHavjyaW17yovd/t8Dg4VoVR30INdjx49VFZWpiVLlmj27Nk6fPiwFi9erNTUVE/QAwDgRKmpqcrMzKyxhAlCT3Z2ttLT02vMeEVwBT3YtWrVSqtWrdLChQs1ePBgxcbGavz48brpppuCXQoAIExkZWV5FhtG6EpLS1NxsW9rDsK/TOkU7tatm5544gkzdg0ACDPx8fFNXly4ykU3bKA15f2NiY0luPuJqbNiAQBoiMPhUE7OR43u3qtyuVVSWuHnqlCXZcuWKzk52afXxMTGavGiJYqICJ0JCOGMdxEAEPL69OknScrPLznlc5xOR52Td2ipC54xYyZo1Kixp7yKRF3HKC4ujlDnR7yTAICwUV9IMwxCXChwOBxKrGNWsnR8WZBQmkFqRXTFAgAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAi2CBYuAXdrtdCQkJkqSmXZUyBJ1isVAAgLUQ7ABJqampyszMVLt27cwuBQCARiPYAZKysrIUFxdndhkAADQJY+zQ7MXHx8tms1zna72qXG6uqQkAFkSwQ7PncDiUk/OR8vLyzC4lKKpcbpWUVphdBgAgAOiK9RNLD7xvijAZtN+nTz9JUn5+SdD37XQ6VF7uDtr+aKkDAOsi2PkBA++tw4zQYxiELQCAfxDs/ICB9wAAIBQwxq6JmuPA+6Zg0D4AAIFDsGui5jbwvikYtA8AQGDRFesHZg68r0+wB+U3hJY6AAACi2DnR6EWXBiUDwBA80JXLAAAgEUQ7AAAACyCYAcAAGARjLEDEBBcjSVEhMnVXwD4B8EOgN9xNRYAMAfBDoDfcTUWADAHY+wA+BVXYwltXP0FsDaCHQC/4mosoYurvwDWR1csAL8L1auxNFaoXcWlsWipA6yPYAcgYKwSJLiKC4BwQVcsAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFhEhNkFAFbgcrlUVFTUqNc6nQ6Vl7t9fl18fLwcDkej9gkAsCaCHdBE2dlrlJExR0ePFgdlf6mpqcrKypLNZlNOzi716dMvKPsFAIQ+m2EYhtlF1Ofw4Z+Csp+kpNig7i8YnM4IlZe7zC7D0lwul3r2PCNooc5utys3N1ft2rWTJOXl5clmiw7KvpszPkvB15hWcF9av2nxNofVPkvBzA7V+2oILXZAExQVFQUt1ElSQkKCJ9RJUnJysvLzSxTi388AnwSyFZwWb//zJYR7E74J3U1DsAPQrHlzUmroZMSJyH9cLlfAQp3dbldmZqbi4uIkSb179/L7Ppobf4ZwQrd/EOwAP/tcUmKAtm0L0Habq6aelDgR+V8gW8Fp8fYvf4ZwQrf/EOwswmarfcq32Wrfzx+wwEuUlGR2EWhQU09KnIjQ3PkzhBO6/YdgF+aczgjFxLSQ3V53W07sL2Mts7OzlZaWJklatmy5xoyZEKwSgZDU1JMSJ6Lg8VcrOC3eaA5MDXZut1vXXnutOnbsqEWLFplZStiqL9RVc7vdSk9PV3Hx8ZPY3Lm3adSosYwJAhAWaAUPH40N4YRu/zE12GVmZionJ0cdO3Y0s4ywZbPZGgx1klRQUKC8vDzP7by8PBUWFioxMVAjwYDw5MtJiRMRUBsh3HymBbsdO3Zo69atGjlypFklAEANnJQAhDtTgt2RI0d0xx136JFHHtFTTz1lRgmW1Wt5L+WX5te4r6qkyqRqAABAMAU92FVVVWnOnDmaMWOGevbsGezdW15+aX6tYKdj5tQCAACCK+jBbsWKFYqKitL06dO9en5kpMOrcWT+4nSGz0Th6pVM3G63CgoKJP3SOndykCut/Vqn0xFWv2uocjrNn4DidDrEREzfBeLYcSyaLtifKY5Z4wX6WIXTsQml82nQK3nppZeUl5en/v37S5LKysokSa+99ppycnJqPb+y0rvr/vlLOF3DzmazafPmbKWnp9eYHOGN8nJ3WP2uocrb61IGugaW2PBdII4dx6Lpgv2Z4pg1XqCPVTgdm1A6nwY92G3evLnG7dtvv12SWO6kkdLS0jzLmADwnd1uV0JCgiQfZ7oyqxxACAqdtkP4rLHfZGJiYz2r5QPNWWpqqjIzM2ssNAzAN43+cnQivij5jenBjpa6plm2bLnmzr3N667YmNhYLV60RBERph96wHRZWVl8yQGagC9HoYeze5gbM2aCRo0aq8LCwlqPOZ2OWmMg4uLiCHWApPj4+DqvsdxYVa7wGQ8UDvzSCnQyWoX8ji9HoYczvAU4HI46ryLhdEaE1IBOKwvISagunJj8xuFwKCdnl3r37qXk5OQmbavK5VZJaYWfKgOtQOHB31+OTsQXpcYj2AFNxEkofPXp00+SlJ9fUu/z6mr9PhEnIP+iFSg8+PPL0Yn4otQ0BDugiTgJhb+GgplhEN6CJZCtQCejVajpvP1yVK2hL0kSn7WmsptdABDOgnkSqgsnJljN8Vagj3xem9NXtAr5l2EYXv40/Fw0DS12QBMEqivCG5yYYFW+tgJV86Y1qBoBAlZFsAOaqLEnoWq+nIxOxIkJVufrv3G6zAGCHeA3jT2hcDICAPgLY+wAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdiex2WxmlwAAAEJcqOaFCLMLCDWJiTFmlwAAANAotNj9orLSZXYJAAAgzIRafqDF7hdFRcfMLsHvnM4IlZeH1j841MZxCn0co/DAcQp9HKPAo8UOAADAIgh2AAAAFkGwAwAAsAiCHQAAgEUQ7AAAACyCYAcAAGARBDsAAACLINgBAABYBMEOAADAIgh2AAAAFkGwAwAAsAiCHQAAgEUQ7AAAACyCYAcAAGARBDsAAACLINgBAABYhM0wDMPsIgAAANB0tNgBAABYBMEOAADAIgh2AAAAFkGws7CCggL95je/0fvvv292KTjJF198oRkzZmjgwIEaPHiw5s6dq4KCArPLwkl27NihKVOmqF+/fho8eLDuvfdelZWVmV0W6uB2uzV9+nTdfvvtZpeCOmzatElnn322+vbt6/mZM2eO2WVZEsHOoj744ANNnTpV33//vdml4CRlZWW67rrr1LdvX73zzjvauHGjioqKNH/+fLNLwwkKCgp0ww03aNq0acrJydH69eu1c+dOrVy50uzSUIfMzEzl5OSYXQZO4dNPP9Xll1+uDz/80PPzwAMPmF2WJRHsLGj9+vX605/+pFmzZpldCuqQm5urnj176qabblJUVJTi4+M1depU/ec//zG7NJwgISFB7777riZNmiSbzaaioiKVl5crISHB7NJwkh07dmjr1q0aOXKk2aXgFD799FOde+65ZpfRLBDsLOjiiy/Wq6++qjFjxphdCurQtWtXrVq1Sg6Hw3Pfli1bdM4555hYFeoSExMjSRo6dKjGjx+vpKQkTZo0yeSqcKIjR47ojjvu0JIlSxQdHW12OahDVVWVdu/erTfffFPDhw/XkCFD9Oc//1nFxcVml2ZJBDsLSkpKUkREhNllwAuGYejvf/+73njjDd1xxx1ml4NT2Lp1q7Zv3y673a5bbrnF7HLwi6qqKs2ZM0czZsxQz549zS4Hp1BQUKCzzz5bo0aN0qZNm7RmzRp99913jLELEM7+gElKSkqUkZGh3bt365lnnlGPHj3MLgmn0KJFC7Vo0UJz5szRlClTVFxcrDZt2phdVrO3YsUKRUVFafr06WaXgnokJibq2Wef9dyOjo7WnDlzdMUVV6ikpMTTMg7/oMUOMMH333+vyZMnq6SkROvWrSPUhaBdu3Zp9OjRqqio8NxXUVGhyMhIuvxCxEsvvaSdO3eqf//+6t+/vzZu3KiNGzeqf//+ZpeGE3zxxRd68MEHdeKFrioqKmS32xUVFWViZdZEsAOCrLi4WNdcc4369eunxx9/nMH4IapHjx4qKyvTkiVLVFFRoYMHD2rx4sVKTU3lZBQiNm/erF27diknJ0c5OTkaN26cxo0bx+zYEBMXF6dnn31Wq1atksvlUm5urh544AH99re/5bMUAHTFAkH2wgsvKDc3V6+88oo2b95c47EPP/zQpKpwslatWmnVqlVauHChBg8erNjYWI0fP1433XST2aUBYeW0007TihUrtHTpUj366KNyOp0aO3YsY+wCxGac2DYKAACAsEVXLAAAgEUQ7AAAACyCYAcAAGARBDsAAACLINgBAABYBMEOAADAIgh2AAAAFkGwA4BG+u6778wuAQBqINgBaLSUlBT17t1bffv2Vd++fXX++efr8ssvV3Z2ttml1SknJ0d9+/b1y7a2bdum3//+937ZVjXDMLR27VpNnjxZffv21YABA3TllVfqxRdf9HlbDz/8sKZPn+7X+gCEPi4pBqBJ7r77bk2aNEnS8Qt7v/nmm8rIyFBhYaGuv/56k6urqX///n67bFtRUZH8feGeP/3pT/rwww81f/58XXTRRYqMjNT27dt1zz33aOfOnVq4cKFf9wfAemixA+A3UVFRGjlypObNm6fMzEyVlJRIkvLz8/WnP/1JgwcP1sUXX6y//OUvnsfef/99paSk6NFHH9Ull1yigQMH6uabb/Y8LknZ2dkaO3as+vXrp/Hjx2vDhg2ex6ZPn66HHnpI06ZN0/nnn68JEybok08+0ezZs9WvXz+lpKTozTff9OyrR48ekqQDBw6oR48eys7OVkpKii644ALNmDFDP/74o6TjrWcrV67U+PHj1b9/fw0YMECzZ89WWVmZ3n//fd11113Kzc1V3759dejQIZWVlelvf/ubhg4dqgEDBmj69On65JNPPHX26NFDCxYs0KBBg3TjjTfWeu9ee+01bdmyRU8//bQuvfRStWzZUpGRkRoxYoQef/xxvfjii3rrrbc8v/Ptt9+u4cOHa9iwYSopKdGuXbs0efJknX/++bryyit14MCBGtt/9913lZqaqv79+2vs2LE13sPbb79dt9xyiy677DL9+te/1vfff9/ofwMATGYAQCMNHz7ceP7552vdf+jQIaN79+7GW2+9ZbjdbmPKlCnGnDlzjJ9++skoKCgwbrjhBmPWrFmGYRjGe++9Z3Tv3t246667jGPHjhnfffedMXjwYGPFihWGYRjG888/b/Tr18949913DZfLZbz77rtGv379jK1btxqGYRhXXXWVcdFFFxlfffWVUV5ebvzud78zzjnnHOPVV181KioqjEWLFhkpKSk19mUYhvHDDz8Y3bt3N2bOnGkUFxcbhw8fNsaNG2f8+c9/NgzDMP71r38ZgwcPNr799lvDMAzj66+/NgYOHGg899xznrqGDx/u+Z3nzZtnjB8/3vjuu++M8vJy46mnnjL69u1rHDx40DAMw+jevbuRlpZmlJaWGsXFxbXes3nz5hnTp08/5Xv9//7f/zNuv/12z+98ySWXGD/++KNRXFxsFBQUGP379zdWrFhhVFRUGDk5OUa/fv2Mq666yjAMw9izZ4/Rp08fY8uWLYbL5TI++OADY9CgQcb27ds9+z7//PONL7/8ss7aAIQPWuwA+F18fLyk492Vn332mXbv3q277rpLMTExio+P17x58/Svf/1LhYWFntfcdNNNatGihbp06aJBgwbp22+/lSQ9//zzmjp1qi688EI5HA5deOGFmjp1qtasWeN57ahRo9StWzdFRUWpf//+6tq1qy699FJFRkZqyJAhOnjw4ClrTUtLU+vWrZWYmKiUlBTPhIghQ4Zo3bp1Ov3001VQUKDCwkLFxcXp0KFDtbZRXl6ujRs3avbs2erSpYuioqJ0zTXXqGvXrtq4caPneePGjVN0dLRat25daxt5eXlKSko6ZZ3JycnKy8vz3B4yZIjatWun1q1b680331R0dLTS0tIUGRmpCy64QJMnT/Y8d82aNRoxYoRGjhwph8Ohfv366YorrtCzzz7rec7555+v7t2711kbgPDBGDsAfldQUCBJatu2rQ4cOCC3262hQ4fWeE5UVJR++OEHz+0TQ01kZKRn/Fp+fr46d+5c47WdOnXStm3bPLfj4uI8/+9wONSmTRvPbbvdXu9YuMTERM//R0REeJ5rGIb+/ve/64033lBCQoJ69eqlysrKOrdVXFysyspKderUqVadJ3aJJicnn7KOpKQk7d+//5SPHzhwQN26datzW4cOHVL79u1ls9k89/3qV7/Snj17JEkHDx7Ue++9p/79+3sed7vd+tWvfuVVbQDCB8EOgN9t27ZNLVu21Hnnnae9e/eqRYsWev/99+VwOCQdn2Txww8/qEuXLvrggw/q3VanTp1qjfn64YcfagTBEwONvzz44IPKzc3Vtm3bFBMTI0kaP358nc9NTEyU0+nUDz/8oDPPPNNz//fff6+UlBSv6hw9erRuvvlmffnll55xgNU+//xzff7555o5c2ad2zrttNN08OBBVVVVyW4/3hFTPVaw+vHf/va3uueeezz35eXl1QipgXgPAQQfXbEA/KaiokKbNm3S0qVLNWvWLMXExKhPnz7q0qWLFi1apJ9//lllZWVauHChrr32Wrnd7ga3mZqaqrVr12rHjh1yu9167733PEuCBFJJSYmcTqccDofKy8v1xBNPaO/evaqsrJQkOZ1OHTt2TC6XS3a7XZMnT9bSpUu1f/9+VVRU6Omnn9bXX3+tsWPHerW/4cOHa/z48frDH/6g119/XaWlpSotLdVrr72mmTNnauzYsRo+fHidr01JSZFhGHr44YdVUVGhzz77rMaSM6mpqdq4caPeeecdVVVV6bvvvtNVV12lJ554oulvFICQQosdgCa56667dO+990o6Hna6du2qu+++W2PGjJF0vHtzxYoVWrx4sUaOHKny8nL16dNHTz75pJxOZ4Pbv+yyy1RSUqIFCxYoNzdX7dq109y5czVx4sRA/lr64x//qIyMDF100UVq2bKlLrjgAl1++eXau3evJGnAgAFq27atBgwYoDVr1mju3Ll6+OGHde2116qoqEg9evTQ448/rjPOOMPrfd5///1at26dVq5cqXnz5kmSunXrpptvvtmzpExdWrdurccff1x//etf9eSTT6pLly4aNWqUZ5zieeedp6VLl2rp0qW69dZbFR0drXHjxum2225rwjsEIBTZjPoGnwAAACBs0BULAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCL+P39p5DPIAqFbAAAAAElFTkSuQmCC" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "pval: 0.02130896745553046\n", "alpha: 0.05\n", "pr: 0.9786910325444695\n", "q: 30.774215096981447\n", "Portmanteau test: Q = 30.77, df = 17, p-value = 0.021\n", "Result: FAIL\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "execution_count": 5 }, { "cell_type": "markdown", "id": "bj13", "metadata": {}, "source": "### Step 2c — Multivariate Analysis (u → y)\n\n`multiAnal` prewhitens u using the fitted ARMA model, then computes:\n\n- The estimated **impulse response** $\\hat{g}(\\tau)$ from u to y.\n- The **residual autocorrelation** $r_v(\\tau)$ of the disturbance $v = y - \\hat{g} * u$.\n- The **G GPAC** — identifies orders $n_b$ (B numerator) and $n_f$ (F denominator) of G.\n- The **H GPAC** — identifies orders $n_c$ (C numerator) and $n_d$ (D denominator) of H.\n\nThe lag at which $\\hat{g}(\\tau)$ first becomes significantly non-zero gives the pure delay $k$." }, { "cell_type": "code", "id": "bj14", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:51:25.796773Z", "start_time": "2026-06-09T18:51:25.057228Z" } }, "source": "g_ir, rv, g_gpac, h_gpac = multiAnal(u, y, 8, 6, 8, 6)\nprint('Impulse response (first 10 lags):')\nprint(np.round(g_ir[:10], 4))\nprint('\\nG GPAC:')\nprint(np.round(g_gpac, 3))\nprint('\\nH GPAC:')\nprint(np.round(h_gpac, 3))", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Prewhitening input for impulse response estimation, please wait...\n", "Selecting the best ARMA prediction model\n", "arma: Combination 1 out of 12 total [nc=0, nd=1]. aic = -2.2348, bic = -2.2223\n", "arma: Combination 2 out of 12 total [nc=0, nd=2]. aic = -3.2042, bic = -3.1793\n", "arma: Combination 3 out of 12 total [nc=0, nd=3]. aic = -3.3220, bic = -3.2846\n", "arma: Combination 4 out of 12 total [nc=1, nd=1]. aic = -2.9441, bic = -2.9191\n", "arma: Combination 5 out of 12 total [nc=1, nd=2]. aic = -3.2891, bic = -3.2517\n", "arma: Combination 6 out of 12 total [nc=1, nd=3]. aic = -3.3308, bic = -3.2810\n", "arma: Combination 7 out of 12 total [nc=2, nd=1]. aic = -3.1488, bic = -3.1114\n", "arma: Combination 8 out of 12 total [nc=2, nd=2]. aic = -3.2995, bic = -3.2496\n", "arma: Combination 9 out of 12 total [nc=2, nd=3]. aic = -3.2891, bic = -3.2268\n", "arma: Combination 10 out of 12 total [nc=3, nd=1]. aic = -3.2934, bic = -3.2435\n", "arma: Combination 11 out of 12 total [nc=3, nd=2]. aic = -3.3483, bic = -3.2860\n", "arma: Combination 12 out of 12 total [nc=3, nd=3]. aic = -3.3504, bic = -3.2756\n" ] }, { "data": { "text/plain": [ "
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" 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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Impulse response (first 10 lags):\n", "[-0.048 0.0834 -0.0345 -0.5582 -0.6574 -0.8422 -0.4945 -0.3426 -0.079\n", " -0.0064]\n", "\n", "G GPAC:\n", "[[-1.739 -2.304 5. 5. 5. 5. ]\n", " [-0.414 -5. 5. 5. 5. 5. ]\n", " [ 5. -5. 5. -5. 5. -5. ]\n", " [ 1.178 0.131 -1.091 0.367 0.392 -0.349]\n", " [ 1.281 5. -1.04 1.561 0.712 -0.097]\n", " [ 0.587 0.115 -0.328 0.02 0.537 -0.118]\n", " [ 0.693 1.778 -0.324 5. 0.539 -5. ]\n", " [ 0.231 -0.052 0.374 0.039 0.162 -0.063]]\n", "\n", "H GPAC:\n", "[[ 0.895 -0.424 -0.141 0.015 0.044 -0.008]\n", " [ 0.801 -0.668 -0.184 0.432 0.046 -0.056]\n", " [ 0.714 -0.54 0.299 -0.129 0.013 0.068]\n", " [ 0.631 -0.465 -0.312 -0.089 0.486 0.055]\n", " [ 0.546 -0.524 -0.041 -0.619 0.131 0.708]\n", " [ 0.417 -0.519 5. -0.567 2.565 0.505]\n", " [ 0.122 -0.462 -0.385 2.027 0.499 -3.411]\n", " [-2.55 -0.473 -2.953 2.46 5. -2.668]]\n" ] } ], "execution_count": 6 }, { "cell_type": "markdown", "id": "bj15", "metadata": {}, "source": "### Interpretation and Model Order Selection\n\n**Impulse response** $\\hat{g}(\\tau)$:\n\n- Near zero at $\\tau = 0, 1, 2$; becomes non-zero at $\\tau = 3$ → **delay $k = 3$**.\n\n**G GPAC** (transfer function from u to y):\n\n- Large values in the first three rows reflect the pure delay.\n- After accounting for the delay, an approximately constant value appears in **column 2** of the effective GPAC — indicating $n_b = 2$ zeros and $n_f = 2$ poles in G.\n\n**H GPAC** (noise transfer function):\n\n- An approximately constant value in **column 2** starting from row 1 → $n_c = 0$, $n_d = 2$.\n\n**Selected model:** `pmodel('bjtf', nb=[2], nf=[2], nc=[0], nd=[2], delay=[3])`" }, { "cell_type": "markdown", "id": "bj16", "metadata": {}, "source": "## Step 3 — Estimate Parameters\n\nWe estimate the BJTF model using the Levenberg-Marquardt algorithm. The output y must be the **first** argument to `estimate` and the input u the **second**.\n\nThe selected model has $n_b + n_f + n_c + n_d = 2 + 2 + 0 + 2 = 6$ free parameters." }, { "cell_type": "code", "id": "bj17", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:51:34.851586Z", "start_time": "2026-06-09T18:51:34.230937Z" } }, "source": "pmod_bjtf = pmodel('bjtf', nb=[2], nf=[2], nc=[0], nd=[2], delay=[3], diff=[0], per=[])\npmod_bjtf.estimParams.epochs = 50\npmod_bjtf.estimParams.goal = 0.01\npmod_bjtf, trec_bjtf, stat_bjtf = estimate(pmod_bjtf, y, u)", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input may not be zero mean sequences.\n", "Epoch 0/50 Time 0.028278112411499023 PMODMSE 9.027646930088096/0.01 Gradient 3891.372092910378/0.0001 mu 0.001/10000000000.0\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 10/50 Time 0.30186915397644043 PMODMSE 0.05687550163034918/0.01 Gradient 0.0021080390927325212/0.0001 mu 1.0000000000000005e-08/10000000000.0\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "2.906702857883076e-05 0.0001\n", "Epoch 13/50 Time 0.4688451290130615 PMODMSE 0.056875501536003514/0.01 Gradient 2.906702857883076e-05/0.0001 mu 1.0000000000000006e-11/10000000000.0\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ESTIMLM, Minimum gradient reached, performance goal was not met.\n", "\n", "\n" ] } ], "execution_count": 7 }, { "cell_type": "code", "id": "bj18", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:51:39.398241Z", "start_time": "2026-06-09T18:51:39.258316Z" } }, "source": "pmoddisp(pmod_bjtf, stat_bjtf)\npmodpzplot(pmod_bjtf)\nplt.show()", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameter estimates — BJTF model\n", "--------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " b0 -0.5323 0.1483 ( -0.6805, -0.3840)\n", " b1 -0.3706 0.2935 ( -0.6641, -0.0771)\n", " b2 -0.5084 0.3111 ( -0.8195, -0.1973)\n", " d1 -1.5287 0.0932 ( -1.6219, -1.4355)\n", " d2 0.6295 0.0981 ( 0.5314, 0.7276)\n", " f1 -0.5666 0.4134 ( -0.9799, -0.1532)\n", " f2 0.0125 0.2857 ( -0.2732, 0.2983)\n", "\n", " Residual std σ = 0.238486\n", " Residual var σ² = 0.056876\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 8 }, { "cell_type": "markdown", "id": "bj19", "metadata": {}, "source": "The parameter table shows all estimates with 95% confidence intervals. Note that **f₂** may have a wide interval that includes zero — suggesting $n_f$ could be reduced from 2 to 1. The `selpmod` search in Step 5 will check this.\n\nThe pole-zero map shows G (B zeros, F poles) and H (C zeros, D poles) separately. No pole-zero cancellations are visible — no further order reduction is indicated from this plot alone." }, { "cell_type": "markdown", "id": "bj20", "metadata": {}, "source": "## Step 4 — Validate the Model\n\nFor BJTF models we apply three complementary checks:\n\n1. **Whiteness and cross-correlation tests** — `multiChi` applies two chi-square tests on the one-step prediction errors $e(t) = y(t) - \\hat{y}(t|t-1)$:\n - **Q statistic**: residuals are white noise (ACF test). Pass: $p_Q > 0.05$.\n - **S statistic**: residuals are uncorrelated with the prewhitened input. Pass: $p_S > 0.05$.\n2. **Theoretical vs experimental impulse response** — `partoacf_pmod` computes the theoretical impulse response of $G(q^{-1}) = B(q^{-1})/F(q^{-1})\\,q^{-k}$, which should match the experimental impulse response $\\hat{g}(\\tau)$ from `multiAnal` in Step 2.\n3. **Theoretical vs experimental H autocorrelation** — `partoacf_pmod` also computes the theoretical ACF of $v(t) = H(q^{-1})e(t)$, which should match the residual autocorrelation $r_v(\\tau)$ from `multiAnal`." }, { "cell_type": "code", "id": "bj21", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:51:52.832368Z", "start_time": "2026-06-09T18:51:52.670959Z" } }, "source": "pass_arr, q_val, pvalq, s_val, pvals, nq, ns = multiChi(pmod_bjtf, y, u)\nprint(f'Q: Q = {q_val:.2f}, df = {nq}, p-value = {pvalq:.3f}, pass = {bool(pass_arr[0])}')\nprint(f'S: S = {s_val:.2f}, df = {ns}, p-value = {pvals:.3f}, pass = {bool(pass_arr[1])}')\n\ny_pred_bjtf = pmod_bjtf.predict(y, u)\nfig, ax = plt.subplots(figsize=(12, 4))\nax.plot(y, 'C0o', ms=3, label='y(t) measured')\nax.plot(y_pred_bjtf, 'rx', ms=3, label='ŷ(t|t−1) predicted')\nax.set_title('BJTF One-Step-Ahead Prediction')\nax.set_xlabel('Sample')\nax.legend()\nplt.tight_layout()\nplt.show()", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Prewhitening input, please wait...\n", "Selecting the best ARMA prediction model\n", "arma: Combination 1 out of 12 total [nc=0, nd=1]. aic = -2.2348, bic = -2.2223\n", "arma: Combination 2 out of 12 total [nc=0, nd=2]. aic = -3.2042, bic = -3.1793\n", "arma: Combination 3 out of 12 total [nc=0, nd=3]. aic = -3.3220, bic = -3.2846\n", "arma: Combination 4 out of 12 total [nc=1, nd=1]. aic = -2.9441, bic = -2.9191\n", "arma: Combination 5 out of 12 total [nc=1, nd=2]. aic = -3.2891, bic = -3.2517\n", "arma: Combination 6 out of 12 total [nc=1, nd=3]. aic = -3.3308, bic = -3.2810\n", "arma: Combination 7 out of 12 total [nc=2, nd=1]. aic = -3.1488, bic = -3.1114\n", "arma: Combination 8 out of 12 total [nc=2, nd=2]. aic = -3.2995, bic = -3.2496\n", "arma: Combination 9 out of 12 total [nc=2, nd=3]. aic = -3.3260, bic = -3.2637\n", "arma: Combination 10 out of 12 total [nc=3, nd=1]. aic = -3.2934, bic = -3.2435\n", "arma: Combination 11 out of 12 total [nc=3, nd=2]. aic = -3.3483, bic = -3.2860\n", "arma: Combination 12 out of 12 total [nc=3, nd=3]. aic = -3.3504, bic = -3.2756\n", "Q: Q = 26.03, df = 18, p-value = 0.099, pass = True\n", "S: S = 15.03, df = 16, p-value = 0.522, pass = True\n" ] }, { "data": { "text/plain": [ "
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}, "metadata": {}, "output_type": "display_data" } ], "execution_count": 9 }, { "cell_type": "markdown", "id": "bj22", "metadata": {}, "source": "Both tests should pass (p-values $> 0.05$): residuals consistent with white noise and uncorrelated with the prewhitened input. The prediction plot shows the model tracking the measured output closely." }, { "cell_type": "markdown", "id": "bj_chk23_md", "metadata": {}, "source": "### Check 2 — Theoretical vs Experimental Impulse Response\n\nThe theoretical impulse response of $G(q^{-1}) = B(q^{-1})/F(q^{-1})\\,q^{-k}$ is computed from the estimated coefficients using `partoacf_pmod` and compared with the experimental impulse response $\\hat{g}(\\tau)$ returned by `multiAnal` in Step 2. The pure delay $k = 3$ should appear as three leading zeros in both." }, { "cell_type": "code", "id": "bj_chk23_code", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:52:03.360570Z", "start_time": "2026-06-09T18:52:03.223243Z" } }, "source": "# Noise variance from one-step prediction errors\ne_bjtf = y - pmod_bjtf.predict(y, u)\nvar_e_bjtf = np.var(e_bjtf)\nprint(f'Noise variance estimate: {var_e_bjtf:.6f}')\n\n# Theoretical impulse response (G) and H ACF from the fitted model.\n# lagmax covers both the impulse response length and rv positive-lag range.\nlagmax_g = len(g_ir) # match experimental g_ir length\nlagmax_h = rv.squeeze().shape[0] // 2 + 1 # positive lags of rv\nlagmax_c = max(lagmax_g, lagmax_h)\nacf_theory_H, _, g_ir_theory = partoacf_pmod(pmod_bjtf, var_e_bjtf, lagmax_c)\n\n# ── Plot 1: G impulse response ──────────────────────────────────────────────\nlags_g = np.arange(lagmax_g)\nfig, ax = plt.subplots(figsize=(12, 4))\nax.stem(lags_g, g_ir, linefmt='C0-', markerfmt='C0o', basefmt='k-',\n label=r'Experimental $\\hat{g}(\\tau)$ (multiAnal)')\nax.plot(lags_g, g_ir_theory[:lagmax_g], 'r-o', markersize=5, linewidth=1.5,\n label='Theoretical (BJTF fit)')\nax.set_title('G Impulse Response: Experimental vs Theoretical')\nax.set_xlabel(r'Lag $\\tau$')\nax.set_ylabel(r'$g(\\tau)$')\nax.legend()\nplt.tight_layout()\nplt.show()\n\n# ── Plot 2: H autocorrelation — rv vs theoretical ───────────────────────────\nrv_s = rv.squeeze()\nmid_rv = len(rv_s) // 2\nrv_pos = rv_s[mid_rv:mid_rv + lagmax_h]\n\nacf_H_norm = acf_theory_H[:lagmax_h] / acf_theory_H[0]\nrv_norm = rv_pos / rv_pos[0]\n\nlags_h = np.arange(lagmax_h)\nfig, ax = plt.subplots(figsize=(12, 4))\nax.stem(lags_h, rv_norm, linefmt='C0-', markerfmt='C0o', basefmt='k-',\n label=r'Experimental $r_v$ (multiAnal)')\nax.plot(lags_h, acf_H_norm, 'r-o', markersize=4, linewidth=1.5,\n label='Theoretical (H model)')\nax.set_title(r'H Autocorrelation: Experimental $r_v$ vs Theoretical')\nax.set_xlabel('Lag')\nax.set_ylabel('Normalised autocovariance')\nax.legend()\nplt.tight_layout()\nplt.show()", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Noise variance estimate: 0.056865\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "execution_count": 10 }, { "cell_type": "markdown", "id": "bj23", "metadata": {}, "source": "## Step 5 — Automated Model Selection with `selpmod`\n\n`selpmod` searches a grid of BJTF structures and selects the best by AIC and BIC.\n\n| Parameter | Values |\n|-----------|--------|\n| $n_b$ (B numerator) | 1, 2 |\n| $n_c$ (C numerator) | 0, 1, 2 |\n| $n_d$ (D denominator) | 0, 1, 2 |\n| $n_f$ (F denominator) | 0, 1, 2 |\n| Delay $k$ | 3 (fixed) |\n\n$2 \\times 3^3 = 54$ total combinations. The BIC-optimal model is expected to reduce $n_f$ from 2 to 1, removing the marginally significant $f_2$." }, { "cell_type": "code", "id": "bj24", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:52:20.957832Z", "start_time": "2026-06-09T18:52:19.742404Z" } }, "source": "bjtf_spec = {\n 'models': [{\n 'type': 'bjtf',\n 'nb': [1, 2],\n 'nc': [0, 1, 2],\n 'nd': [0, 1, 2],\n 'nf': [0, 1, 2],\n 'delay': [3],\n 'diff': [0]\n }]\n}\nresult_bjtf = selpmod(bjtf_spec, y, u)\nprint('\\nModel selection complete.')", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input may not be zero mean sequences.\n", "Selecting the best BJTF prediction model\n", "bjtf: Combination 1 out of 54 total [nb=1, nc=0, nd=0, nf=0, delay=3]. aic = 0.2919, bic = 0.3168\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 2 out of 54 total [nb=1, nc=0, nd=0, nf=1, delay=3]. aic = -0.3650, bic = -0.3276\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 3 out of 54 total [nb=1, nc=0, nd=0, nf=2, delay=3]. aic = -0.3591, bic = -0.3092\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 4 out of 54 total [nb=1, nc=0, nd=1, nf=0, delay=3]. aic = -1.5643, bic = -1.5269\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 5 out of 54 total [nb=1, nc=0, nd=1, nf=1, delay=3]. aic = -2.3537, bic = -2.3038\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 6 out of 54 total [nb=1, nc=0, nd=1, nf=2, delay=3]. aic = -2.3875, bic = -2.3252\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 7 out of 54 total [nb=1, nc=0, nd=2, nf=0, delay=3]. aic = -2.1598, bic = -2.1099\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 8 out of 54 total [nb=1, nc=0, nd=2, nf=1, delay=3]. aic = -2.7629, bic = -2.7005\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 9 out of 54 total [nb=1, nc=0, nd=2, nf=2, delay=3]. aic = -2.7998, bic = -2.7250\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 10 out of 54 total [nb=1, nc=1, nd=0, nf=0, delay=3]. aic = -0.5925, bic = -0.5551\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 11 out of 54 total [nb=1, nc=1, nd=0, nf=1, delay=3]. aic = -1.3945, bic = -1.3446\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 12 out of 54 total [nb=1, nc=1, nd=0, nf=2, delay=3]. aic = -1.3926, bic = -1.3302\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 13 out of 54 total [nb=1, nc=1, nd=1, nf=0, delay=3]. aic = -1.8995, bic = -1.8497\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 14 out of 54 total [nb=1, nc=1, nd=1, nf=1, delay=3]. aic = -2.6376, bic = -2.5753\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 15 out of 54 total [nb=1, nc=1, nd=1, nf=2, delay=3]. aic = -2.6802, bic = -2.6054\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 16 out of 54 total [nb=1, nc=1, nd=2, nf=0, delay=3]. aic = -2.1951, bic = -2.1327\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 17 out of 54 total [nb=1, nc=1, nd=2, nf=1, delay=3]. aic = -2.7568, bic = -2.6820\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 18 out of 54 total [nb=1, nc=1, nd=2, nf=2, delay=3]. aic = -2.7939, bic = -2.7066\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 19 out of 54 total [nb=1, nc=2, nd=0, nf=0, delay=3]. aic = -1.2472, bic = -1.1974\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 20 out of 54 total [nb=1, nc=2, nd=0, nf=1, delay=3]. aic = -2.0714, bic = -2.0091\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 21 out of 54 total [nb=1, nc=2, nd=0, nf=2, delay=3]. aic = -2.0785, bic = -2.0037\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 22 out of 54 total [nb=1, nc=2, nd=1, nf=0, delay=3]. aic = -2.1024, bic = -2.0401\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 23 out of 54 total [nb=1, nc=2, nd=1, nf=1, delay=3]. aic = -2.7329, bic = -2.6581\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 24 out of 54 total [nb=1, nc=2, nd=1, nf=2, delay=3]. aic = -2.7768, bic = -2.6895\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 25 out of 54 total [nb=1, nc=2, nd=2, nf=0, delay=3]. aic = -2.2412, bic = -2.1664\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 26 out of 54 total [nb=1, nc=2, nd=2, nf=1, delay=3]. aic = -2.7629, bic = -2.6757\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 27 out of 54 total [nb=1, nc=2, nd=2, nf=2, delay=3]. aic = -2.8021, bic = -2.7024\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 28 out of 54 total [nb=2, nc=0, nd=0, nf=0, delay=3]. aic = -0.1299, bic = -0.0925\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 29 out of 54 total [nb=2, nc=0, nd=0, nf=1, delay=3]. aic = -0.3602, bic = -0.3103\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 30 out of 54 total [nb=2, nc=0, nd=0, nf=2, delay=3]. aic = -0.3546, bic = -0.2923\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 31 out of 54 total [nb=2, nc=0, nd=1, nf=0, delay=3]. aic = -2.1179, bic = -2.0680\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 32 out of 54 total [nb=2, nc=0, nd=1, nf=1, delay=3]. aic = -2.3990, bic = -2.3367\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 33 out of 54 total [nb=2, nc=0, nd=1, nf=2, delay=3]. aic = -2.3926, bic = -2.3178\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 34 out of 54 total [nb=2, nc=0, nd=2, nf=0, delay=3]. aic = -2.5640, bic = -2.5016\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 35 out of 54 total [nb=2, nc=0, nd=2, nf=1, delay=3]. aic = -2.8263, bic = -2.7515\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 36 out of 54 total [nb=2, nc=0, nd=2, nf=2, delay=3]. aic = -2.8196, bic = -2.7323\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 37 out of 54 total [nb=2, nc=1, nd=0, nf=0, delay=3]. aic = -1.0808, bic = -1.0310\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 38 out of 54 total [nb=2, nc=1, nd=0, nf=1, delay=3]. aic = -1.3969, bic = -1.3346\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 39 out of 54 total [nb=2, nc=1, nd=0, nf=2, delay=3]. aic = -1.3915, bic = -1.3167\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 40 out of 54 total [nb=2, nc=1, nd=1, nf=0, delay=3]. aic = -2.4413, bic = -2.3790\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 41 out of 54 total [nb=2, nc=1, nd=1, nf=1, delay=3]. aic = -2.7008, bic = -2.6260\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 42 out of 54 total [nb=2, nc=1, nd=1, nf=2, delay=3]. aic = -2.6943, bic = -2.6070\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 43 out of 54 total [nb=2, nc=1, nd=2, nf=0, delay=3]. aic = -2.5671, bic = -2.4922\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 44 out of 54 total [nb=2, nc=1, nd=2, nf=1, delay=3]. aic = -2.8205, bic = -2.7332\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 45 out of 54 total [nb=2, nc=1, nd=2, nf=2, delay=3]. aic = -2.8137, bic = -2.7140\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 46 out of 54 total [nb=2, nc=2, nd=0, nf=0, delay=3]. aic = -1.7669, bic = -1.7045\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 47 out of 54 total [nb=2, nc=2, nd=0, nf=1, delay=3]. aic = -2.0914, bic = -2.0166\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 48 out of 54 total [nb=2, nc=2, nd=0, nf=2, delay=3]. aic = -2.0902, bic = -2.0029\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 49 out of 54 total [nb=2, nc=2, nd=1, nf=0, delay=3]. aic = -2.5413, bic = -2.4665\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 50 out of 54 total [nb=2, nc=2, nd=1, nf=1, delay=3]. aic = -2.8014, bic = -2.7141\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 51 out of 54 total [nb=2, nc=2, nd=1, nf=2, delay=3]. aic = -2.7949, bic = -2.6951\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 52 out of 54 total [nb=2, nc=2, nd=2, nf=0, delay=3]. aic = -2.5728, bic = -2.4856\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 53 out of 54 total [nb=2, nc=2, nd=2, nf=1, delay=3]. aic = -2.8274, bic = -2.7277\n", "Input may not be zero mean sequences.\n", "bjtf: Combination 54 out of 54 total [nb=2, nc=2, nd=2, nf=2, delay=3]. aic = -2.8209, bic = -2.7087\n", "\n", "Model selection complete.\n" ] } ], "execution_count": 11 }, { "cell_type": "code", "id": "bj25", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:52:25.865468Z", "start_time": "2026-06-09T18:52:25.540037Z" } }, "source": "pmod_bic = result_bjtf['bjtf']['bicmod']\nstat_bic = result_bjtf['bjtf']['bicstat']\n\nprint('Best BJTF model by BIC:')\nprint(f' b = {pmod_bic.b}')\nprint(f' f = {pmod_bic.f}')\nprint(f' c = {pmod_bic.c}')\nprint(f' d = {pmod_bic.d}')\nprint(f' delay = {pmod_bic.delay}')\n\npmoddisp(pmod_bic, stat_bic)\npmodpzplot(pmod_bic)\nplt.show()\n\ny_pred_bic = pmod_bic.predict(y, u)\nfig, ax = plt.subplots(figsize=(12, 4))\nax.plot(y, 'C0o', ms=3, label='y(t) measured')\nax.plot(y_pred_bic, 'rx', ms=3, label='best BJTF (BIC)')\nax.set_title('Best BJTF Model (BIC) — One-Step-Ahead Prediction')\nax.set_xlabel('Sample')\nax.legend()\nplt.tight_layout()\nplt.show()\n\npass2, q2, pvalq2, s2, pvals2, nq2, ns2 = multiChi(pmod_bic, y, u)\nprint(f'Q: Q={q2:.2f}, df={nq2}, p={pvalq2:.3f}, pass={bool(pass2[0])}')\nprint(f'S: S={s2:.2f}, df={ns2}, p={pvals2:.3f}, pass={bool(pass2[1])}')\n\naic_bjtf = pmodaic(pmod_bic, y, u)\nbic_bjtf = pmodbic(pmod_bic, y, u)\nprint(f'\\nBest BJTF (BIC) — AIC = {aic_bjtf:.4f}, BIC = {bic_bjtf:.4f}')", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best BJTF model by BIC:\n", " b = [[-0.5315175301678751, -0.3798226498270445, -0.517306053320867]]\n", " f = [array([-0.54919241])]\n", " c = [[]]\n", " d = [array([-1.52862716, 0.6295388 ])]\n", " delay = [3]\n", "Parameter estimates — BJTF model\n", "--------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " b0 -0.5315 0.1472 ( -0.6787, -0.3844)\n", " b1 -0.3798 0.2026 ( -0.5824, -0.1772)\n", " b2 -0.5173 0.2123 ( -0.7296, -0.3050)\n", " d1 -1.5286 0.0932 ( -1.6218, -1.4355)\n", " d2 0.6295 0.0981 ( 0.5315, 0.7276)\n", " f1 -0.5492 0.0750 ( -0.6242, -0.4742)\n", "\n", " Residual std σ = 0.238489\n", " Residual var σ² = 0.056877\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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" 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" 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}, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Prewhitening input, please wait...\n", "Selecting the best ARMA prediction model\n", "arma: Combination 1 out of 12 total [nc=0, nd=1]. aic = -2.2348, bic = -2.2223\n", "arma: Combination 2 out of 12 total [nc=0, nd=2]. aic = -3.2042, bic = -3.1793\n", "arma: Combination 3 out of 12 total [nc=0, nd=3]. aic = -3.3220, bic = -3.2846\n", "arma: Combination 4 out of 12 total [nc=1, nd=1]. aic = -2.9441, bic = -2.9191\n", "arma: Combination 5 out of 12 total [nc=1, nd=2]. aic = -3.2891, bic = -3.2517\n", "arma: Combination 6 out of 12 total [nc=1, nd=3]. aic = -3.3308, bic = -3.2810\n", "arma: Combination 7 out of 12 total [nc=2, nd=1]. aic = -3.1488, bic = -3.1114\n", "arma: Combination 8 out of 12 total [nc=2, nd=2]. aic = -3.2995, bic = -3.2496\n", "arma: Combination 9 out of 12 total [nc=2, nd=3]. aic = -3.3260, bic = -3.2637\n", "arma: Combination 10 out of 12 total [nc=3, nd=1]. aic = -3.2934, bic = -3.2435\n", "arma: Combination 11 out of 12 total [nc=3, nd=2]. aic = -3.3483, bic = -3.2860\n", "arma: Combination 12 out of 12 total [nc=3, nd=3]. aic = -3.3504, bic = -3.2756\n", "Q: Q=26.03, df=18, p=0.099, pass=True\n", "S: S=15.09, df=17, p=0.589, pass=True\n", "\n", "Best BJTF (BIC) — AIC = -2.8263, BIC = -2.7515\n" ] } ], "execution_count": 12 }, { "cell_type": "markdown", "id": "bj26", "metadata": {}, "source": "## Comparison: ARMAX Model\n\nThe ARMAX model is an **equation-error** model:\n\n$$A(q^{-1})\\,y(t) = B(q^{-1})\\,u(t-k) + C(q^{-1})\\,e(t)$$\n\nBoth transfer functions share the same denominator A:\n\n$$G = \\frac{B}{A}, \\qquad H = \\frac{C}{A}$$\n\nARMAX cannot independently model G and H dynamics. When the true G and H have different poles — as is typically the case — the model compensates, and the pole-zero plot often shows approximate cancellations in one transfer function.\n\nSince there are no dedicated preliminary analysis tools for ARMAX, we go directly to `selpmod`." }, { "cell_type": "code", "id": "bj27", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:52:40.091527Z", "start_time": "2026-06-09T18:52:39.008782Z" } }, "source": "armax_spec = {\n 'models': [{\n 'type': 'armax',\n 'na': [1, 2, 3],\n 'nb': [1, 2, 3, 4],\n 'nc': [0, 1, 2],\n 'delay': [3],\n 'diff': [0]\n }]\n}\nresult_armax = selpmod(armax_spec, y, u)\nprint('\\nModel selection complete.')", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input may not be zero mean sequences.\n", "Selecting the best ARMAX prediction model\n", "armax: Combination 1 out of 36 total [na=1, nb=1, nc=0, delay=3]. aic = -1.9191, bic = -1.8817\n", "Input may not be zero mean sequences.\n", "armax: Combination 2 out of 36 total [na=1, nb=1, nc=1, delay=3]. aic = -2.4496, bic = -2.3998\n", "Input may not be zero mean sequences.\n", "armax: Combination 3 out of 36 total [na=1, nb=1, nc=2, delay=3]. aic = -2.6647, bic = -2.6024\n", "Input may not be zero mean sequences.\n", "armax: Combination 4 out of 36 total [na=1, nb=2, nc=0, delay=3]. aic = -1.9828, bic = -1.9329\n", "Input may not be zero mean sequences.\n", "armax: Combination 5 out of 36 total [na=1, nb=2, nc=1, delay=3]. aic = -2.4447, bic = -2.3823\n", "Input may not be zero mean sequences.\n", "armax: Combination 6 out of 36 total [na=1, nb=2, nc=2, delay=3]. aic = -2.6670, bic = -2.5922\n", "Input may not be zero mean sequences.\n", "armax: Combination 7 out of 36 total [na=1, nb=3, nc=0, delay=3]. aic = -2.2205, bic = -2.1582\n", "Input may not be zero mean sequences.\n", "armax: Combination 8 out of 36 total [na=1, nb=3, nc=1, delay=3]. aic = -2.5823, bic = -2.5075\n", "Input may not be zero mean sequences.\n", "armax: Combination 9 out of 36 total [na=1, nb=3, nc=2, delay=3]. aic = -2.7289, bic = -2.6416\n", "Input may not be zero mean sequences.\n", "armax: Combination 10 out of 36 total [na=1, nb=4, nc=0, delay=3]. aic = -2.3497, bic = -2.2749\n", "Input may not be zero mean sequences.\n", "armax: Combination 11 out of 36 total [na=1, nb=4, nc=1, delay=3]. aic = -2.6627, bic = -2.5754\n", "Input may not be zero mean sequences.\n", "armax: Combination 12 out of 36 total [na=1, nb=4, nc=2, delay=3]. aic = -2.7726, bic = -2.6728\n", "Input may not be zero mean sequences.\n", "armax: Combination 13 out of 36 total [na=2, nb=1, nc=0, delay=3]. aic = -2.7206, bic = -2.6708\n", "Input may not be zero mean sequences.\n", "armax: Combination 14 out of 36 total [na=2, nb=1, nc=1, delay=3]. aic = -2.7380, bic = -2.6757\n", "Input may not be zero mean sequences.\n", "armax: Combination 15 out of 36 total [na=2, nb=1, nc=2, delay=3]. aic = -2.7790, bic = -2.7042\n", "Input may not be zero mean sequences.\n", "armax: Combination 16 out of 36 total [na=2, nb=2, nc=0, delay=3]. aic = -2.7628, bic = -2.7005\n", "Input may not be zero mean sequences.\n", "armax: Combination 17 out of 36 total [na=2, nb=2, nc=1, delay=3]. aic = -2.7653, bic = -2.6905\n", "Input may not be zero mean sequences.\n", "armax: Combination 18 out of 36 total [na=2, nb=2, nc=2, delay=3]. aic = -2.7830, bic = -2.6957\n", "Input may not be zero mean sequences.\n", "armax: Combination 19 out of 36 total [na=2, nb=3, nc=0, delay=3]. aic = -2.7934, bic = -2.7186\n", "Input may not be zero mean sequences.\n", "armax: Combination 20 out of 36 total [na=2, nb=3, nc=1, delay=3]. aic = -2.8073, bic = -2.7200\n", "Input may not be zero mean sequences.\n", "armax: Combination 21 out of 36 total [na=2, nb=3, nc=2, delay=3]. aic = -2.8269, bic = -2.7272\n", "Input may not be zero mean sequences.\n", "armax: Combination 22 out of 36 total [na=2, nb=4, nc=0, delay=3]. aic = -2.7955, bic = -2.7082\n", "Input may not be zero mean sequences.\n", "armax: Combination 23 out of 36 total [na=2, nb=4, nc=1, delay=3]. aic = -2.8017, bic = -2.7020\n", "Input may not be zero mean sequences.\n", "armax: Combination 24 out of 36 total [na=2, nb=4, nc=2, delay=3]. aic = -2.8208, bic = -2.7086\n", "Input may not be zero mean sequences.\n", "armax: Combination 25 out of 36 total [na=3, nb=1, nc=0, delay=3]. aic = -2.7674, bic = -2.7051\n", "Input may not be zero mean sequences.\n", "armax: Combination 26 out of 36 total [na=3, nb=1, nc=1, delay=3]. aic = -2.8121, bic = -2.7373\n", "Input may not be zero mean sequences.\n", "armax: Combination 27 out of 36 total [na=3, nb=1, nc=2, delay=3]. aic = -2.8238, bic = -2.7365\n", "Input may not be zero mean sequences.\n", "armax: Combination 28 out of 36 total [na=3, nb=2, nc=0, delay=3]. aic = -2.7854, bic = -2.7106\n", "Input may not be zero mean sequences.\n", "armax: Combination 29 out of 36 total [na=3, nb=2, nc=1, delay=3]. aic = -2.8117, bic = -2.7244\n", "Input may not be zero mean sequences.\n", "armax: Combination 30 out of 36 total [na=3, nb=2, nc=2, delay=3]. aic = -2.8229, bic = -2.7232\n", "Input may not be zero mean sequences.\n", "armax: Combination 31 out of 36 total [na=3, nb=3, nc=0, delay=3]. aic = -2.8133, bic = -2.7260\n", "Input may not be zero mean sequences.\n", "armax: Combination 32 out of 36 total [na=3, nb=3, nc=1, delay=3]. aic = -2.8102, bic = -2.7104\n", "Input may not be zero mean sequences.\n", "armax: Combination 33 out of 36 total [na=3, nb=3, nc=2, delay=3]. aic = -2.8328, bic = -2.7206\n", "Input may not be zero mean sequences.\n", "armax: Combination 34 out of 36 total [na=3, nb=4, nc=0, delay=3]. aic = -2.8100, bic = -2.7103\n", "Input may not be zero mean sequences.\n", "armax: Combination 35 out of 36 total [na=3, nb=4, nc=1, delay=3]. aic = -2.8177, bic = -2.7055\n", "Input may not be zero mean sequences.\n", "armax: Combination 36 out of 36 total [na=3, nb=4, nc=2, delay=3]. aic = -2.8268, bic = -2.7021\n", "\n", "Model selection complete.\n" ] } ], "execution_count": 13 }, { "cell_type": "code", "id": "bj28", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:52:43.747102Z", "start_time": "2026-06-09T18:52:43.546040Z" } }, "source": "pmod_armax = result_armax['armax']['aicmod']\nstat_armax = result_armax['armax']['aicstat']\n\nprint('Best ARMAX model by AIC:')\nprint(f' a = {pmod_armax.a}')\nprint(f' b = {pmod_armax.b}')\nprint(f' c = {pmod_armax.c}')\nprint(f' delay = {pmod_armax.delay}')\n\npmoddisp(pmod_armax, stat_armax)\npmodpzplot(pmod_armax)\nplt.show()\n\ny_pred_armax = pmod_armax.predict(y, u)\nfig, ax = plt.subplots(figsize=(12, 4))\nax.plot(y, 'C0o', ms=3, label='y(t) measured')\nax.plot(y_pred_armax, 'rx', ms=3, label='best ARMAX (AIC)')\nax.set_title('Best ARMAX Model (AIC) — One-Step-Ahead Prediction')\nax.set_xlabel('Sample')\nax.legend()\nplt.tight_layout()\nplt.show()\n\naic_armax = pmodaic(pmod_armax, y, u)\nbic_armax = pmodbic(pmod_armax, y, u)\nprint(f'\\nBest ARMAX (AIC) — AIC = {aic_armax:.4f}, BIC = {bic_armax:.4f}')", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best ARMAX model by AIC:\n", " a = [array([-1.63770408, 0.9640853 , -0.23763 ])]\n", " b = [array([-0.5337536 , 0.20677525, -0.23656535, 0.27113907])]\n", " c = [array([-0.11139344, 0.24976458])]\n", " delay = [3]\n", "Parameter estimates — ARMAX model\n", "---------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " a1 -1.6377 0.3505 ( -1.9882, -1.2872)\n", " a2 0.9641 0.5096 ( 0.4545, 1.4737)\n", " a3 -0.2376 0.2004 ( -0.4380, -0.0373)\n", " b0 -0.5338 0.1475 ( -0.6813, -0.3862)\n", " b1 0.2068 0.3500 ( -0.1433, 0.5568)\n", " b2 -0.2366 0.3710 ( -0.6075, 0.1344)\n", " b3 0.2711 0.2457 ( 0.0254, 0.5169)\n", " c1 -0.1114 0.3563 ( -0.4677, 0.2449)\n", " c2 0.2498 0.1482 ( 0.1016, 0.3980)\n", "\n", " Residual std σ = 0.235320\n", " Residual var σ² = 0.055376\n" ] }, { "data": { "text/plain": [ "
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" 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" 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}, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Best ARMAX (AIC) — AIC = -2.8328, BIC = -2.7206\n" ] } ], "execution_count": 14 }, { "cell_type": "markdown", "id": "bj29", "metadata": {}, "source": "There are some parameters with error bars that include 0, but they don't correspond to the final parameter, so we could not reduce the models from that. Notice that there is an approximate pole/zero cancellation in the G transfer function. Since both G and H have the same denominator in the ARMAX model, we don't have the flexibility to reduce the orders of B and A, because the root of A is not cancelled in the H transfer function. The approximate cancellation is a diagnostic sign that the shared-pole constraint is forcing the model to absorb noise-model dynamics into the input transfer function. This is a well-known limitation of equation-error models; see Ljung (1999), *System Identification: Theory for the User*, Ch. 4." }, { "metadata": { "ExecuteTime": { "end_time": "2026-06-09T19:34:33.300181Z", "start_time": "2026-06-09T19:34:33.174907Z" } }, "cell_type": "code", "source": [ "# Noise variance from one-step prediction errors\n", "e_armax = y - pmod_armax.predict(y, u)\n", "var_e_armax = np.var(e_armax)\n", "print(f'Noise variance estimate: {var_e_armax:.6f}')\n", "\n", "# Theoretical impulse response (G) and H ACF from the fitted model.\n", "# lagmax covers both the impulse response length and rv positive-lag range.\n", "lagmax_g = len(g_ir) # match experimental g_ir length\n", "lagmax_h = rv.squeeze().shape[0] // 2 + 1 # positive lags of rv\n", "lagmax_c = max(lagmax_g, lagmax_h)\n", "acf_theory_H, _, g_ir_theory = partoacf_pmod(pmod_armax, var_e_armax, lagmax_c)\n", "\n", "# ── Plot 1: G impulse response ──────────────────────────────────────────────\n", "lags_g = np.arange(lagmax_g)\n", "fig, ax = plt.subplots(figsize=(12, 4))\n", "ax.stem(lags_g, g_ir, linefmt='C0-', markerfmt='C0o', basefmt='k-',\n", " label=r'Experimental $\\hat{g}(\\tau)$ (multiAnal)')\n", "ax.plot(lags_g, g_ir_theory[:lagmax_g], 'r-o', markersize=5, linewidth=1.5,\n", " label='Theoretical (BJTF fit)')\n", "ax.set_title('G Impulse Response: Experimental vs Theoretical')\n", "ax.set_xlabel(r'Lag $\\tau$')\n", "ax.set_ylabel(r'$g(\\tau)$')\n", "ax.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# ── Plot 2: H autocorrelation — rv vs theoretical ───────────────────────────\n", "rv_s = rv.squeeze()\n", "mid_rv = len(rv_s) // 2\n", "rv_pos = rv_s[mid_rv:mid_rv + lagmax_h]\n", "\n", "acf_H_norm = acf_theory_H[:lagmax_h] / acf_theory_H[0]\n", "rv_norm = rv_pos / rv_pos[0]\n", "\n", "lags_h = np.arange(lagmax_h)\n", "fig, ax = plt.subplots(figsize=(12, 4))\n", "ax.stem(lags_h, rv_norm, linefmt='C0-', markerfmt='C0o', basefmt='k-',\n", " label=r'Experimental $r_v$ (multiAnal)')\n", "ax.plot(lags_h, acf_H_norm, 'r-o', markersize=4, linewidth=1.5,\n", " label='Theoretical (H model)')\n", "ax.set_title(r'H Autocorrelation: Experimental $r_v$ vs Theoretical')\n", "ax.set_xlabel('Lag')\n", "ax.set_ylabel('Normalised autocovariance')\n", "ax.legend()\n", "plt.tight_layout()\n", "plt.show()" ], "id": "b6ff2c80febda105", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Noise variance estimate: 0.055349\n" ] }, { "data": { "text/plain": [ "
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" 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}, "metadata": {}, "output_type": "display_data" } ], "execution_count": 17 }, { "metadata": {}, "cell_type": "markdown", "source": "The impulse response of the G transfer function is accurate, but the ACF of the disturbance is much less accurate than with the BJTF model. The ARMAX model has limited flexibility in representing the H transfer function, since it can only adjust the numerator.", "id": "83c97ce8c4ed61f" }, { "cell_type": "markdown", "id": "bj30", "metadata": {}, "source": "## Comparison: ARX Model\n\nThe **ARX** model is the simplest equation-error model — no MA term:\n\n$$A(q^{-1})\\,y(t) = B(q^{-1})\\,u(t-k) + e(t)$$\n\nThe noise transfer function is $H = 1/A$, so the noise is forced to be a pure AR process. ARX is the cheapest to estimate (linear least squares) but will generally have higher AIC/BIC than BJTF or ARMAX unless the disturbance is genuinely AR.\n\nIn PredictMod notation: `pmodel('arx', na=[na], nb=[nb], delay=[k])`." }, { "cell_type": "code", "id": "bj31", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:52:51.794419Z", "start_time": "2026-06-09T18:52:51.737160Z" } }, "source": "arx_spec = {\n 'models': [{\n 'type': 'arx',\n 'na': [1, 2, 3],\n 'nb': [1, 2, 3],\n 'delay': [3]\n }]\n}\nresult_arx = selpmod(arx_spec, y, u)\nprint('\\nModel selection complete.')", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input may not be zero mean sequences.\n", "Selecting the best ARX prediction model\n", "arx: Combination 1 out of 9 total [na=1, nb=1, delay=3]. aic = -1.9191, bic = -1.8817\n", "Input may not be zero mean sequences.\n", "arx: Combination 2 out of 9 total [na=1, nb=2, delay=3]. aic = -1.9828, bic = -1.9329\n", "Input may not be zero mean sequences.\n", "arx: Combination 3 out of 9 total [na=1, nb=3, delay=3]. aic = -2.2205, bic = -2.1582\n", "Input may not be zero mean sequences.\n", "arx: Combination 4 out of 9 total [na=2, nb=1, delay=3]. aic = -2.7206, bic = -2.6708\n", "Input may not be zero mean sequences.\n", "arx: Combination 5 out of 9 total [na=2, nb=2, delay=3]. aic = -2.7628, bic = -2.7005\n", "Input may not be zero mean sequences.\n", "arx: Combination 6 out of 9 total [na=2, nb=3, delay=3]. aic = -2.7934, bic = -2.7186\n", "Input may not be zero mean sequences.\n", "arx: Combination 7 out of 9 total [na=3, nb=1, delay=3]. aic = -2.7674, bic = -2.7051\n", "Input may not be zero mean sequences.\n", "arx: Combination 8 out of 9 total [na=3, nb=2, delay=3]. aic = -2.7854, bic = -2.7106\n", "Input may not be zero mean sequences.\n", "arx: Combination 9 out of 9 total [na=3, nb=3, delay=3]. aic = -2.8133, bic = -2.7260\n", "\n", "Model selection complete.\n" ] } ], "execution_count": 15 }, { "cell_type": "code", "id": "bj32", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:52:55.822922Z", "start_time": "2026-06-09T18:52:55.638157Z" } }, "source": "pmod_arx = result_arx['arx']['bicmod']\nstat_arx = result_arx['arx']['bicstat']\n\nprint('Best ARX model by BIC:')\nprint(f' a = {pmod_arx.a}')\nprint(f' b = {pmod_arx.b}')\nprint(f' delay = {pmod_arx.delay}')\n\npmoddisp(pmod_arx, stat_arx)\npmodpzplot(pmod_arx)\nplt.show()\n\ny_pred_arx = pmod_arx.predict(y, u)\nfig, ax = plt.subplots(figsize=(12, 4))\nax.plot(y, 'C0o', ms=3, label='y(t) measured')\nax.plot(y_pred_arx, 'rx', ms=3, label='best ARX (BIC)')\nax.set_title('Best ARX Model (BIC) — One-Step-Ahead Prediction')\nax.set_xlabel('Sample')\nax.legend()\nplt.tight_layout()\nplt.show()\n\naic_arx = pmodaic(pmod_arx, y, u)\nbic_arx = pmodbic(pmod_arx, y, u)\nprint(f'\\nBest ARX (BIC) — AIC = {aic_arx:.4f}, BIC = {bic_arx:.4f}')", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best ARX model by BIC:\n", " a = [array([-1.55511949, 0.7450646 , -0.12067685])]\n", " b = [array([-0.52325805, 0.13718028, -0.16599537, 0.33087448])]\n", " delay = [3]\n", "Parameter estimates — ARX model\n", "-------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " a1 -1.5551 0.1130 ( -1.6681, -1.4421)\n", " a2 0.7451 0.1812 ( 0.5638, 0.9263)\n", " a3 -0.1207 0.0854 ( -0.2061, -0.0353)\n", " b0 -0.5233 0.1492 ( -0.6724, -0.3741)\n", " b1 0.1372 0.3291 ( -0.1920, 0.4663)\n", " b2 -0.1660 0.3475 ( -0.5135, 0.1815)\n", " b3 0.3309 0.2049 ( 0.1260, 0.5357)\n", "\n", " Residual std σ = 0.239240\n", " Residual var σ² = 0.057236\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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vv/8e77zzDqKjo3H33XdXOvACwCuvvIKMjAx8+OGHaNGiBUaNGuXTTp/+/uyeOHECQOU92rBhQ3g8Hpw6dQqnTp2Cx+OpNMf/ve7o0aNQSiEuLq7C93/9+vWXfI8hqgnBugsgqilt2rTBVVddVeltH3/8MUJCQrBkyZJyaygudOSCyo6nuHjxYrhcLqSnpyM5Odl7fXUf3qpOnTqw2+0YNmwYHnrooUqXadKkyUUfo169egCAp556Crfddluly7Rq1arc5aoeQ7JevXoIDw+vdCj47XMDwKBBgzBo0CC43W6sX78e06ZNw5AhQ5CSkoK0tLQqPV91OXPmDJYsWYLJkyfjySef9F7vdru9g+elnH9tM2fOvOCRE86v+a9Xrx5ee+01vPbaa8jNzcXnn3+OJ598EseOHat0Rz4zzZs3D/fddx9GjBiBt99+u0LW53cAq2xYPXjwIGJjY31+zoEDByIzM9Oven/7M1RVc+fOhVIK//rXv/Cvf/2rwu0LFizA888/D7vd7r2ufv363veMtLQ0tGnTBj179sSECRO8O1ydt23bNkyaNAnDhw/HXXfdheTkZPTo0QNPP/00pk+f7nO9vjj//T98+HCF2/Ly8hAUFIQ6depAKQWbzVbpL0r/e129evVgs9mwbt06OByOCstXdh1RTeMQSwR4T4Lw2w+wwsJC/L//9/98egyg/Ju7Ugrvvvtu9RUKICIiAtdffz2ys7PRrl27i65tO1/L/64NatWqFVq0aIFNmzbhhRdeqNb6BgwYgBdeeAGxsbGXHKZ/W2fPnj1Ru3ZtLF++HNnZ2UhLS7tg/Waw2WxQSlX4cH7vvfdQVlZWod7K6urRowdq166Nbdu2Ydy4cVV+7saNG2PcuHFYtWoVvvvuO59rN/Kn3fnz5+O+++7Dvffei/fee6/SX1bS0tIQHR2NhQsXYvDgwd7rc3NzsXr1atx1110+P29sbKxfw68/ysrKsGDBAjRr1gzvvfdehduXLFmCV199FV999RUGDBhwwce59tprMXz4cCxYsAAZGRneX7RKS0sxYsQI1KtXD6+//jqAc5svTZw4EdOnT8ftt9/u/auPGVq1aoXExER8+OGH+POf/+zN0OVy4dNPP/UesQA4txlLeno6Xn75Ze8v7Pn5+RVOxjBgwAC8+OKLOHToULnMiayEQywRgP79+2P69OkYMmQIxo4dixMnTuCVV17xaW3DTTfdhNDQUNxzzz14/PHHUVRUhFmzZuHUqVPVXu/rr7+Oa665Btdeey0efPBBpKSkID8/H7t378YXX3zhPeNSs2bNEB4ejg8++ABt2rRBVFQUGjZsiIYNG+Kdd97B7373O/Tt2xcjR45EYmIiTp48ie3bt+PHH3/EokWL/Kpt/Pjx+PTTT3HddddhwoQJaNeuHTweD3Jzc7FixQo8+uij6Nq1KyZNmoSDBw+id+/eaNSoEU6fPo3XX38dISEh6Nmz5yXrr261atXCddddh5dffhn16tVDSkoK1q5dizlz5qB27drllj1/pqfZs2cjOjoaYWFhaNKkCWJjYzFz5kyMGDECJ0+exB133IEGDRrg119/xaZNm/Drr79i1qxZOHPmDK6//noMGTIErVu3RnR0NDIzM7Fs2bILrhk/z+l0Ytu2bVV6TR07drzoz/CiRYswevRodOjQAffffz9++OGHSu8fFRWF559/Hn/6059w7733YujQoThx4gSmTJmC8PBwTJo0qUr16PLVV18hLy8PL730UqWHAktNTcWbb76JOXPmXHSIBYCpU6fik08+wbPPPuvdFnjatGnIysrCV199Ve5nZerUqfjiiy8watQo5OTkIDw8vDpflldQUBD+/ve/Y+jQoRgwYADuv/9+uN1uvPzyyzh9+jRefPHFcjX169cPN910Ex599FGUlZXhpZdeQmRkZLm/OPTo0QNjx47FH/7wB2RlZeG6665DZGQkDh8+jP/85z9o27YtHnzwQVNeD1GVaduljKiGXOgQW/9r7ty5qlWrVsrhcKimTZuqadOmqTlz5lTYyzs5OVn179+/0sf44osvVPv27VVYWJhKTExUjz32mPrqq68q7Mnes2dPdeWVV1a4/4UeG5Uc7mfv3r1q1KhRKjExUYWEhKj69eur7t27q+eff77cch999JFq3bq1CgkJUQDU5MmTvbdt2rRJDR48WDVo0ECFhISo+Ph4dcMNN3j33laq6t+/3yooKFDPPPOMatWqlQoNDfUeDmzChAneo0EsWbJE/e53v1OJiYkqNDRUNWjQQN18883lDgd0sfovdHQCX75/ANTLL7/sve7gwYPq9ttvV3Xq1FHR0dGqX79+6qefflLJyclqxIgR5e7/2muvqSZNmii73V7hCApr165V/fv3V3Xr1lUhISEqMTFR9e/fXy1atEgppVRRUZF64IEHVLt27VStWrVUeHi4atWqlZo8eXK5vdArU51HJxgxYoRP91+4cKFq3769N9NBgwaprVu3XvQ5rOD3v/+9Cg0N9R4GrTJ33323Cg4O9v58VvYzc95jjz2mAKi1a9eqnJwcFRIScsEjNGRkZKigoCA1YcKEi9Zo9GdXqXNHLejatasKCwtTkZGRqnfv3uq7776r8Jiff/65ateunQoNDVWNGzdWL774YqX9pNS598WuXbuqyMhIFR4erpo1a6aGDx9e7ggNPDoB6WJTSvNpd4iIiIiIfMSjExARERGROBxiiYiIiEgcDrFEREREJA6HWCIiIiISh0MsEREREYnDIZaIiIiIxLHcyQ48Hg/y8vIQHR1d5dNcEhEREVFgUEohPz8fDRs2RFDQhde3Wm6IzcvLQ1JSku4yiIiIiEijAwcOoFGjRhe83XJDbHR0NIBzhdeqVUtzNfrl5eWZcopNqjnMUDbmJ5vb7caUKVMwZcoUn04jTdbBHpTP1wydTieSkpK8M+GFWO6MXU6nEzExMThz5gyHWCIiIqLLTFVnQe7YZXHZ2dm6SyCDmKFszE82l8uFtLQ0uFwu3aWQn9iD8pmVIdfEWlxJSQlCQkJ0l0EGMEPZmJ9s/EyRjz0on68Zck1sgMjPz9ddAhnEDGVjfkR6sQflMytDDrEWd/LkSd0lkEHMUDbmR6QXe1A+szLkEGtxzZs3110CGcQMZWN+soWFheHdd99FWFiY7lLIT+xB+czKkEOsxW3fvl13CWQQM5SN+ckWGhqKHj16IDQ0VHcp5Cf2oHxmZcgh1uIudpBfkoEZysb8ZCsoKMBtt92GgoIC3aWQn9iD8pmVIYdYiwsOttz5KMhHzFA25iebx+PBjh074PF4dJdCfmIPymdWhhxiARQVl6Lv1KXoO3UpiopLdZdTzp49e3xa3sqv5XLla4ZkLcyPSC/2oHxmZcgh1uJSU1N1l0AGMUPZmB+RXuxB+czKsNqH2L/97W/o3r07IiIiULt27ep+eLEOnXBh7qodmJaejbmrduDQiaqdPWbfvn3mFkamY4ayMT/ZIiIiMH/+fEREROguhfzEHpTPrAyrfSOF4uJi3HnnnUhLS8OcOXOq++FFWp5zADOWbIYNNigo2GDDPzP2YOLAdujTPumi942MjKyhKskszFA25idbcHAwbr75Zm5XKRh7UD6zMvS5q5ctW4bnn38eP/30E+x2O9LS0vD666+jWbNmAIDnnnsOADB//vxqLbSmVPd2pHknXZixZDOUAhTOneH3/L/Tv9iMFvG1kFDnwuFG1artU03cDtZ66tWrp7sEMoD5yeZ0OtGsWTMcPHiQp50Vij0on1kZ+jzEulwuTJw4EW3btoXL5cKkSZNw6623IicnB0FBvm+d4Ha74Xa7vZedTqfPj1Gd7pqxqsaeSynggdn/qbHnIz02btyIq666SncZ5CfmJx9PWyobe1A+szL0eYi9/fbby12eM2cOGjRogG3btvm14e60adO8a2+JAhHffGVjfkR6sQflMytDn4fYPXv24Nlnn8X69etx/Phx77H3cnNz/Rpin3rqKUycONF72el0Iinp4tuJmumTCb0RFlp9204tXPszPtuwDx6lKtwWZLPh1q4pGN6z5QXvf/ToUcTFxVX5+YqKS2t0bTJd2pEjRxAfH6+7DPIT8yPSiz0on1kZ+jytDRw4EElJSXj33XfRsGFDeDwepKamori42K8CHA4HHA6HX/c1Q1hocLUOsf07JSN9w95Kb1NQ6N85+aLPFwRPtdZDNa+kpER3CWQA85MtMjISK1eu5M5BgrEH5TMrQ582Yj1x4gS2b9+OZ555Br1790abNm1w6tQpUwoLFImxkZg4sB1stnNrXoP++6/NBkwc2A6JdS/+xqpzrTRVD2YoG/OTLSgoCF26dPFrnw2yBvagfGZl6NMqvjp16iA2NhazZ89GQkICcnNz8eSTT5ZbJjc3FydPnkRubi7KysqQk5MDAGjevDmioqKqrXBJ+rRPwpVJdbE8+wCOnilEXEw4+nZMuuQACwCbNm1C+/bta6BKMgszlI35yZafn4+YmBicOXOGRycQij0on1kZ+jTEBgUF4eOPP8YjjzyC1NRUtGrVCm+88QZ69erlXWbSpElYsGCB93LHjh0BAKtXry633OUmsW4kRvVu7fP9Wrf2/T5kLcxQNuZHpBd7UD6zMrQpVckeRxo5nU7+1vwbp0+f5pnPhGOGsjE/2fiZIh97UD5fM6xq33IjIYs7duyY7hLIIGYoG/Mj0os9KJ9ZGXJNLBERBSylFPLz8xEdHQ2bzaa7HCKqAq6JDRA7d+7UXQIZxAxlY36yeTwefPvtt95jmpM87EH5zMqQQ6zF8QDP8jFD2ZifbC6XCwMHDoTL5dJdCvmJPSifWRlyiLU4K50IgvzDDGVjfkR6sQflMytDDrEW9/PPP+sugQxihrIxPyK92IPymZUhd+wiIqKA5XQ60ahRIxw8eJCfKURCcMeuALF//37dJZBBzFA25idbrVq1sGXLFg6wgrEH5TMrQw6xFhcWFqa7BDKIGcrG/GQrLS1FRkYGSktLdZdCfmIPymdWhtycgIiIAhY/U4jk4eYEASIzM1N3CWQQM5SN+RHpxR6Uz6wMuSaWiIgCFj9TiOThmtgAwXNGy8cMZWN+sgUFBaFVq1YICuLHnVTsQfnMypBdbXGFhYW6SyCDmKFszE+2qKgoLF++HFFRUbpLIT+xB+UzK0MOsRaXnJysuwQyiBnKxvxkKy4uxsqVK1FcXKy7FPITe1A+szLkEGtxW7Zs0V0CGcQMZWN+shUVFWHMmDEoKirSXQr5iT0on1kZcoi1uBYtWugugQxihrIxPyK92IPymZUhh1iL45/A5GOGsjE/Ir3Yg/KZlSGHWIs7fPiw7hLIIGYoG/OTzW63o0ePHrDb7bpLIT+xB+UzK0MeJ5aIiIiILIPHiQ0Qu3bt0l0CGcQMZWN+srndbjz88MNwu926SyE/sQflMytDDrEWV69ePd0lkEHMUDbmJ5vb7cabb77JIVYw9qB8ZmXIIdbiIiMjdZdABjFD2ZgfkV7sQfnMypBDrMVt375ddwlkEDOUjfkR6cUelM+sDDnEWlz79u11l0AGMUPZmJ9sISEhGD16NEJCQnSXQn5iD8pnVoYcYi3uwIEDuksgg5ihbMxPtvDwcEyePBnh4eG6SyE/sQflMytDDrEWFxwcrLsEMogZysb8ZCssLMQTTzyBwsJC3aWQn9iD8pmVIY8TS0REAYufKUTy8DixAWLjxo26SyCDmKFszI9IL/agfGZlyDWxFufxeBAUxN81JGOGsjE/2fiZIh97UD5fM+Sa2ABx4sQJ3SWQQcxQNuYnm8PhwJ///Gc4HA7dpZCf2IPymZUhh1iLKygo0F0CGcQMZWN+sjkcDvzxj3/kECsYe1A+szLkEGtxTZo00V0CGcQMZWN+srlcLjzwwANwuVy6SyE/sQflMytDDrEWt3XrVt0lkEHMUDbmJ1tZWRlWrFiBsrIy3aWQn9iD8pmVIYdYi+NvoPIxQ9mYH5Fe7EH5uCb2MuXxeHSXQAYxQ9mYH5Fe7EH5zMqQQ6zF8XR78jFD2ZifbGFhYfjrX/+KsLAw3aWQn9iD8pmVIY8TS0RERESWwePEBog9e/boLoEMYoayMT/ZCgoK0KJFCx6mSTD2oHxmZcgh1uLq1KmjuwQyiBnKxvxk83g82L17N7erFIw9KJ9ZGXKItThuUiEfM5SN+RHpxR6Uz6wMOcRa3ObNm3WXQAYxQ9mYH5Fe7EH5zMqQO3YREVHAKi0txapVq9C7d28EBwfrLoeIqoA7dgWIQ4cO6S6BDGKGsjE/2YKDg5GamsoBVjB/erCouBR9py5F36lLUVRcakJVga86v4dmvY9yiCUiooDldDrRunVrOJ1O3aUQUTWr1iF23759GD16NJo0aYLw8HA0a9YMkydPRnFxcXU+zWUlMTFRdwlkEDOUjfnJx8NryRaoPXjohAtzV+3AtPRszF21A4dOuHSXZBqzMqzWIXbHjh3weDx45513sHXrVsyYMQNvv/02/vKXv1Tn01xWfvzxR90lkEHMUDbmR6RXIPbg8pwDGD1rDRZl/IK12/KwKOMXjJ61Bis2BebZyczK0OeNhJYtW4bnn38eP/30E+x2O9LS0vD666+jWbNm6NevH/r16+ddtmnTpti5cydmzZqFV155pVoLv1y0a9dOdwlkEDOUjfkR6WW0B622TWzeSRdmLNkMpQCFc/vWn/93+heb0SK+FhLqROosEUD1ft/Meh/1eYh1uVyYOHEi2rZtC5fLhUmTJuHWW29FTk4OgoIqrtg9c+YM6tate8HHc7vdcLvd3svcbqk8p9N50e8fWR8zlI35yRYZGYnvvvsOkZH6hwLyj9EevGvGqmqsxlxKAQ/M/o/uMqqdWe+jPm9OcPvtt+O2225DixYt0KFDB8yZMwdbtmzBtm3bKiy7Z88ezJw5Ew888MAFH2/atGmIiYnxfiUlJflaUkA7deqU7hLIIGYoG/OTLSgoCBEREZWuZCEZ2IPymZWhz8eJ3bNnD5599lmsX78ex48fh8fjgcvlwtKlS3HzzTd7l8vLy0PPnj3Rs2dPvPfeexd8vMrWxCYlJfE4sUREZBiPPX55KiouxaCXlgMAPpnQG2Gh1jnE2sK1P+OzDfvgqWT8CrLZcGvXFAzv2VJDZeUVFZd612L/+4m+Nfo9rGrf+lzRwIEDkZSUhHfffRcNGzaEx+NBampquSMQ5OXl4frrr0daWhpmz5590cdzOBxwOBy+lnHZ2L59O9q0aaO7DDKAGcrG/Ij0MtqDYaHBlhpi+3dKRvqGvZXepqDQv3OypeqtDma9j/r095UTJ05g+/bteOaZZ9C7d2+0adOmwiriQ4cOoVevXujUqRPmzZvHP+EYxM0r5GOGsjE/Ir0CrQcTYyMxcWA72Gzn1rwG/fdfmw2YOLAdEusG3vbbZmXo06hfp04dxMbGYvbs2UhISEBubi6efPJJ7+15eXno1asXGjdujFdeeQW//vqr97b4+Pjqq/oywl8C5GOGsjE/Ir0CsQf7tE/ClUl1sTz7AI6eKURcTDj6dkwKyAEWMC9Dn4bYoKAgfPzxx3jkkUeQmpqKVq1a4Y033kCvXr0AACtWrMDu3buxe/duNGrUqNx9fdz0lv5r7969uPLKK3WXQQYwQ9mYn2zR0dFYv349oqOjdZdCfgrUHkysG4lRvVvrLqNGmJWhzzt2mY0b4RMRUXUpKyvDjh070Lp1a9jtdt3lEFEVVHUWDLx19AFm797KN/4mOZihbMxPNpfLhdTUVLhcgXtKz0DHHpTPrAw5xFpcVFSU7hLIIGYoG/Mj0os9KJ9ZGXKItbjY2FjdJZBBzFA25kekF3tQPrMy5BBrcdnZ2bpLIIOYoWzMTz6eclY29qB8ZmXIHbuIiIiIyDK4Y1eAOHz4sO4SyCBmKBvzk620tBQfffQRSktLdZdCfmIPymdWhhxiLY5vvPIxQ9mYn2xnz57FkCFDcPbsWd2lkJ/Yg/KZlSGHWIsLtNPtXY6YoWzMj0gv9qB8ZmXIIdbiNm3apLsEMogZysb8iPRiD8pnVoYcYi2uTZs2uksgg5ihbMxPtqCgILRp08a0c7eT+diD8pmVIbva4niWGfmYoWzMT7aoqCh89913PGC+YOxB+czKkEOsxR0/flx3CWQQM5SN+clWXFyMt956C8XFxbpLIT+xB+UzK0MeJ5aIiAIWP1OI5OFxYgPEzp07dZdABjFD2ZgfkV7sQfnMypBDrMUlJCToLoEMYoayMT8ivdiD8pmVIYdYiwsNDdVdAhnEDGVjfrLZ7XbceOONsNvtukshP7EH5TMrQw6xFrdr1y7dJZBBzFA25idbZGQkpk+fjsjISN2lkJ/Yg/KZlSGHWItr27at7hLIIGYoG/OTze1249NPP4Xb7dZdCvmJPSifWRlyiLW4/fv36y6BDGKGsjE/2dxuN5577jkOsYKxB+UzK0MOsRYXHh6uuwQyiBnKxvyI9GIPymdWhhxiLa5Bgwa6SyCDmKFszI9IL/agfGZlyCHW4jIzM3WXQAYxQ9mYn2whISG45ZZbEBISorsU8hN7UD6zMuQZu4iIiIjIMnjGrgBx9OhR3SWQQcxQNuYnW2FhIYYOHYrCwkLdpZCf2IPymZUhh1iLKyoq0l0CGcQMZWN+spWUlODDDz9ESUmJ7lLIT+xB+czKkEOsxSUnJ+sugQxihrIxPyK92IPymZUhh1iL27x5s+4SyCBmKBvzI9KLPSifWRlyiLW4li1b6i6BDGKGsjE/2RwOB55++mk4HA7dpZCf2IPymZUhh1iL41lm5GOGsjE/2RwOBx577DEOsYKxB+UzK0MOsRZ35MgR3SWQQcxQNuYnm8vlQv/+/eFyuXSXQn5iD8pnVoY8TiwREQUsfqYQycPjxAaIn3/+WXcJZBAzlI35EenFHpTPrAw5xFoczxktHzOUjfkR6cUelM+sDDnEWlx4eLjuEsggZigb85MtLCwMb731FsLCwnSXQn5iD8pnVoYcYi1ux44duksgg5ihbMxPttDQUHTv3h2hoaG6SyE/sQflMytD7thFREQBq6CgAF27dsWGDRsQFRWluxwiqgLu2BUgDhw4oLsEMogZysb8ZPN4PNi2bRs8Ho/uUshP7EH5zMqQQ6zFhYSE6C6BDGKGsjE/Ir3Yg/KZlSGHWIuLj4/XXQIZxAxlY35EerEH5TMrQw6xFpeVlaW7BDKIGcrG/GSLiIjAG2+8gYiICN2lkJ/Yg/KZlSF37LI4pRRsNpvuMsgAZigb85OPGcrG/OTzNUPu2BUgjh8/rrsEMogZysb8ZHM6nahVqxacTqfuUshP7EH5zMqQQ6zFuVwu3SWQQcxQNuYnX0FBge4SyAD2oHxmZcgh1uJSUlJ0l0AGMUPZmB+RXuxB+czKkEOsxf3000+6SyCDmKFszA8oKi5F36lL0XfqUhQVl+oux8uqdVH1Yg/KZ1aG1T7E3nLLLWjcuDHCwsKQkJCAYcOGIS8vr7qf5rLRrFkz3SWQQcxQNuYnW2RkJLKyshAZGam7FPITe1A+szKs9iH2+uuvxz//+U/s3LkTn376Kfbs2YM77rijup/mslFayrUL0jFD2Zhf9Tp0woW5q3ZgWno25q7agUMnzN3eMSgoCPHx8QgK4h8epWIPymdWhj539bJly3DNNdegdu3aiI2NxYABA7Bnzx7v7RMmTEC3bt2QnJyM7t2748knn8T69etRUlJSrYVfLg4ePKi7BDKIGcrG/KrP8pwDGD1rDRZl/IK12/KwKOMXjJ61Bis2mXda0fz8fDRq1Aj5+fmmPQeZiz0on1kZBvt6B5fLhYkTJ6Jt27ZwuVyYNGkSbr31VuTk5FT4TffkyZP44IMP0L17d542zk9t2rTRXQIZxAxlY37l+bvtad5JF2Ys2QylAIVzhyc//+/0LzajRXwtJNTx7U/+3A728sAelM+sDH0eYm+//fZyl+fMmYMGDRpg27ZtSE1NBQA88cQTePPNN3H27Fl069YNS5YsueDjud1uuN1u72Uey6+83bt3o3nz5rrLIAOYoWzMr7y7Zqyq9sdUCnhg9n+q/XEpMLAH5TMrQ583J9izZw+GDBmCpk2bolatWmjSpAkAIDc317vMY489huzsbKxYsQJ2ux3Dhw/HhU4MNm3aNMTExHi/kpKS/Hwpgalu3bq6SyCDmKFszI9IL/agfGZl6POa2IEDByIpKQnvvvsuGjZsCI/Hg9TUVBQXF3uXqVevHurVq4eWLVuiTZs2SEpKwvr165GWllbh8Z566ilMnDjRe9npdHKQ/Y3o6GjdJZBBzFA25lfeJxN6IyzU548OLFz7Mz7bsA+eSlZoBNlsuLVrCob3bOnTYxYVl15yzXB0dDSOHz/OHAVjdvKZlaFPa2JPnDiB7du345lnnkHv3r3Rpk0bnDp16qL3Ob8G9rebDPyWw+FArVq1yn3R/+Hx8eRjhrIxv/LCQoP9+urfKdm7Dez/UlDo3znZr8e9FI/Hg9WrV8Pj8VT3t4JqCHtQPkscJ7ZOnTqIjY3F7NmzsXv3bnzzzTfl1qL+8MMPePPNN5GTk4P9+/dj9erVGDJkCJo1a1bpWli6tI4dO+ougQxihrIxv+qRGBuJiQPbwWY7t+Y16L//2mzAxIHtkFjXnOO4ulwu3HnnnTx1qWDsQfnMytCnvwkFBQXh448/xiOPPILU1FS0atUKb7zxBnr16gUACA8PR3p6OiZPngyXy4WEhAT069cPH3/8MRwOhxn1B7xDhw4hMTFRdxlkADOUjflVnz7tk3BlUl0szz6Ao2cKERcTjr4dk0wbYCkwsAflMytDnzdsuvHGG7Ft27Zy1/12p61vvvnGeFXkZbPZdJdABjFD2Zhf9UqsG4lRvVvrLoMEYQ/KZ1aGNnWhwwZo4nQ6ERMTgzNnznD7WCIiMsTpdKJRo0Y4ePAgP1OIhKjqLMjz8Fncjz/+qLsEMogZysb8ZKtVqxbWrFnDAVYw9qB8ZmXIIdbi2rdvr7sEMogZysb8ZCstLcWRI0dMO3c7mY89KJ9ZGXKItbjTp0/rLoEMYoayMT/Zzp49i/79++Ps2bO6SyE/sQflMytDDrEWd+bMGd0lkEHMUDbmR6QXe1A+szLkEGtxTZs21V0CGcQMZWN+RHqxB+UzK0MOsRb3v4czI3mYoWzMT7agoCA0a9YMQUH8uJOKPSifWRmyqy2ucePGuksgg5ihbMxPtqioKOTk5CAqKkp3KeQn9qB8ZmXIIdbieJBn+ZihbMxPtuLiYixYsADFxcW6SyE/sQflMytDDrEWt3//ft0lkEHMUDbmJ1tRURHGjRuHoqIi3aWQn9iD8pmVIc/YRUREAYufKUTy8IxdAeKXX37RXQIZxAxlY35EerEH5TMrQw6xFsc1B/IxQ9mYn2x2ux29evWC3W7XXQr5iT0on1kZcnMCiysrK+Obr3DMUDbmJx8zlI35yedrhtycIEDk5OToLoEMYoayMT/Z3G43HnzwQbjdbt2lkJ/Yg/KZlSHXxBIRUcDiZwqRPFwTGyDy8vJ0l0AGMUPZmB+RXuxB+czKkEOsxXk8Ht0lkEHMUDbmR6QXe1A+szLkEGtxjRo10l0CGcQMZWN+soWEhGD06NEICQnRXQr5iT0on1kZcoi1OG7QLh8zlI35yRYeHo5x48YhPDxcdynkJ/agfGZlyCHW4q688krdJZBBzFA25idbYWEh3njjDRQWFuouhfzEHpTPrAw5xFpcfn6+7hLIIGYoG/OTraSkBPPmzUNJSYnuUshP7EH5zMqQQ6zFnTx5UncJZBAzlI35EenFHpTPrAx5nFgiIgpY/EwhkofHiQ0QO3bs0F0CGcQMZWN+sjkcDjz00ENwOBy6SyE/sQflMytDDrEWl5iYqLsEMogZysb8ZHM4HJg2bRqHWMHYg/KZlSGHWIsLDg7WXQIZxAxlY36yuVwu3HbbbXC5XLpLIT+xB+UzK0MOsRa3Z88e3SWQQcxQNuYnW1lZGb7++muUlZXpLoX8xB6Uz6wMuWMXEREFLH6mEMnDHbsCxL59+3SXQAYxQ9mYH5Fe7EH5zMqQQ6zFRURE6C6BDGKGsjE/2cLCwvDqq68iLCxMdynkJ/agfGZlyM0JLE4pBZvNprsMMoAZysb85GOGsjE/+XzNkJsTBIiNGzfqLoEMYoayMT/ZCgoK0KxZMxQUFOguhfzEHpTPrAy5JpaIiAIWP1OI5OGa2ABx5MgR3SWQQcxQNuZHpBd7UD6zMuQQa3HFxcW6SyCDmKFszI9IL/agfGZlyCHW4ho3bqy7BDKIGcrG/GSLiIjAsmXLuIe7YOxB+czKkEOsxW3atEl3CWQQM5SN+ckWHByM+Ph4nrpUMPagfGZlyB27LM7tdsPhcOgugwxghrIxP9mcTicaNWqEgwcP8jNFKPagfL5myB27AkRRUZHuEsggZigb85MvPz9fdwlkAHtQPrMy5BBrcUePHtVdAhnEDGVjfkR6sQflMytDbk5AREQBi58pRPJwc4IAsXPnTt0lkEHMUDbmJ1tkZCS++OILREZG6i6F/MQelM+sDDnEWlx8fLzuEsggZigb85MtKCgI7du3R1AQP+6kYg/KZ1aG7GqLCwsL010CGcQML66ouBR9py5F36lLUVRcqrucCmoyP6t/LyTKz89H48aNuXOXYHwPlc+sDH0aYnv16oXx48ebUghVjn9GkY8Zysb8iPRiD8onYnMCpRSmTJmChg0bIjw8HL169cLWrVur8ykuO+3atdNdAhnEDK3v0AkX5q7agWnp2Zi7agcOnXB5b2N+RHqxB+UzK8NqHWL//ve/Y/r06XjzzTeRmZmJ+Ph43HTTTfwzjgG5ubm6SyCDmKG1Lc85gNGz1mBRxi9Yuy0PizJ+wehZa7Bi0wEAzI9IN/agfGZl6PN5+EpLSzFu3Di8//77sNvtePDBBzF16lQAwGuvvYann34at912GwBgwYIFiIuLw4cffoj777+/eiu/TPAsJfIxw6qr6e1A8066MGPJZigFKJw72uD5f6d/sRkt4mvBHhRcY3VxO9jqFx0djV27diE6Olp3KeQnvofKZ1aGPg+xCxYswOjRo7FhwwZkZWVh7NixSE5ORu/evXHkyBH06dPHu6zD4UDPnj3x/fffX3CIdbvdcLvd3stOp9OPlxG44uLidJdABjHDqrtrxirdJXgpBTww+z+6yyCDPB4P3G43PB4P7Ha77nLID3wPlc+sDH3enCApKQkzZsxAq1atMHToUDz88MOYMWMGjhw5AqBioXFxcd7bKjNt2jTExMR4v5KSknwtKaBlZmbqLoEMYoZE+rhcLqSmpsLlcl16YbIkvofKZ1aGPq+J7datG2w2m/dyWloaXn31VZw/8ddvbwPO7ez1v9f91lNPPYWJEyd6LzudTg6yv3H11VfrLoEMYoZV98mE3ggL9fltyW8L1/6Mzzbsg6eSExcG2Wy4tWsKhvdsWWP1FBWXWmptNJEV8D1UPrMyrLZPi/MHsj1y5AgSEhK81x87duyiq5EdDge3d7mIY8eOoUGDBrrLIAOYYdWFhQbX6BDbv1My0jfsrfQ2BYX+nZPhPH2S+RFpxPdQ+czK0OfNCdavX1/hcosWLdC0aVPEx8dj5cqV3tuKi4uxdu1adO/e3Xill6mzZ8/qLoEMYobWlRgbiYkD28FmO7fmNei//9pswMSB7ZBYN5L5BYCoqCjdJZAB7EH5zMrQ51UeBw4cwMSJE3H//ffjxx9/xMyZM/Hqq6/CZrNh/PjxeOGFF9CiRQu0aNECL7zwAiIiIjBkyBAzar8spKSk6C6BDGKG1tanfRKuTKqL5dkHcPRMIeJiwtG3YxIS60YCYH7S1apVi4d5FI49KJ9ZGfo8xA4fPhyFhYXo0qUL7HY7Hn74YYwdOxYA8Pjjj6OwsBB//OMfcerUKXTt2hUrVqzgoU0M2LJlC9q2bau7DDKAGVpfYt1IjOrdutLbmJ9spaWleO+993DfffchOLjmNlWh6sMelM+sDG1KVbJHg0ZOpxMxMTE4c+YMatWqpbsc7QoLCxEeHq67DDKAGcrG/GTjZ4p87EH5fM2wqn1brWfsoupXUlKiuwQyiBnKxvyI9GIPymdWhhxiLS4vL093CWQQM5SN+RHpxR6Uz6wMOcRaXOvWlW+nR3IwQ9mYn2xBQUG44oorEBTEjzup2IPymZUhu9ridu3apbsEMogZysb8ZIuKisLixYt5mC3B2IPymZUhh1iLq1evnu4SyCBmKBvzk624uBhffvkliouLdZdCfmIPymdWhhxiLY5rD+RjhrIxP9mKioowfvx4FBUV6S6F/MQelM+sDDnEWtzWrVt1l0AGMUPZmB+RXuxB+czKkMeJJSKigMXPFCJ5eJzYAHHw4EHdJZBBzFA25ieb3W7HddddB7vdrrsU8hN7UD6zMuQQa3F845WPGcrG/GSLjIzExx9/jMjISN2lkJ/Yg/KZlSGHWItLSEjQXQIZxAxlY36yud1uvPPOO3C73bpLIT+xB+UzK0MOsRa3ceNG3SWQQcxQNuYnm9vtxnPPPcchVjD2oHxmZcgduyzO4/HwTDPCMUPZmJ9s/EyRjz0on68ZcseuAHHy5EndJZBBzFA25kekF3tQPrMy5BBrcU6nU3cJZBAzlI35yRYSEoLBgwcjJCREdynkJ/agfGZlyM0JiIiIiMgyuDlBgOCZSuRjhrIxP9kKCwtx++23o7CwUHcp5Cf2oHxmZcgh1uJSUlJ0l0AGMUPZmJ9sJSUlSE9PR0lJie5SyE/sQfnMypBDrMVZbGsP8gMzlI35EenFHpTPrAw5xFpcbm6u7hLIIGYoG/Mj0os9KJ9ZGXKItbgrrrhCdwlkEDOUjfnJ5nA4MHnyZDgcDt2lkJ/Yg/KZlSGHWIvbs2eP7hLIIGYoG/OTzeFwYNiwYRxiBWMPymdWhhxiLa527dq6SyCDmKFszE82l8uFMWPGwOVy6S6F/MQelM+sDDnEWlxMTIzuEsggZigb85OtrKwMq1evRllZme5SyE/sQfnMypBDrMVt3rxZdwlkEDOUjfkR6cUelM+sDHnGLiIiClj8TCGSh2fsChB5eXm6SyCDmKFszE+2sLAwvPzyywgLC9NdCvmJPSifWRlyiLU4i60oJz8wQ9mYn2yhoaG45557EBoaqrsU8hN7UD6e7OAylZiYqLsEMogZysb8ZCsoKECfPn1QUFCguxTyE3tQPrMy5BBrcdnZ2bpLIIOYoWzMTzaPx4Nt27bB4/HoLoX8xB6Uz6wMOcRaXGpqqu4SyCBmKBvzI9KLPSifWRlyiLW4/Px83SWQQcxQNuZHpBd7UD6zMuQQa3GnTp3SXQIZxAxlY36yRUREYO7cuYiIiNBdCvmJPSifWRnyOLFEREREZBk8TmyA2L59u+4SyCBmKBvzk83pdCIqKgpOp1N3KeQn9qB8ZmXIIdbiGjVqpLsEMogZysb85HO5XLpLIAPYg/KZlSGHWIuz2+26SyCDmKFszI9IL/agfGZlyCHW4vbu3au7BDKIGcrG/Ij0Yg/KZ1aG3LGLiIgCVllZGXbs2IHWrVtzjR6RENyxK0DwN1D5mKFszE+2oKAglJWVISiIH3dSsQflMytDdrXFRUVF6S6BDGKGsjE/2fLz89G+fXseMF8w9qB8ZmXIIdbiYmNjdZdABjFD2ZgfkV7sQfnMypBDrMX9+OOPuksgg5ihbMyPSC/2oHxmZcgdu4iIqMqKiksx6KXlAIB/P9EXYaHBmiu6OH6mWJu0nyeqGabs2NWrVy+MHz/eaG3kg8OHD+sugQxihrIxP9mio6Oxc+dOREdH6y6F/MQelM+sDKt1c4L09HT07dsX9erVg81mQ05OTnU+/GWptLRUdwlkEDOUjfnJ5vF4kJubC4/HU6PPe+iEC3NX7cC09GzMXbUDh07wrGH+Yg/KZ1aG1bre3uVyoUePHrjzzjsxZsyY6nzoy1ZSUpLuEsggZigb85PN5XLhpptuqtHNCZbnHMCMJZthgw0KCjbY8M+MPZg4sB36tOfPk6/Yg/KZlaHPQ2xpaSnGjRuH999/H3a7HQ8++CCmTp0Km82GYcOGAQD27dtX3XVetjZt2oT27dvrLoMMYIayMb8LKyq2/hqy8zUWFZcitAbqzTvpwowlm6EUoHBul5Pz/07/YjNaxNdCQp1I0+uQoio/Q+xB+czK0OchdsGCBRg9ejQ2bNiArKwsjB07FsnJyX6veXW73XC73d7LTqfTr8cJVG3atNFdAhnEDGVjfhd214xVuku4pNKiswCAe2asQnBYhNZalAIemP0frTVIxB6Uz6wMfd4mNikpCTNmzECrVq0wdOhQPPzww5gxY4bfBUybNg0xMTHeL/7ZoLyzZ8/qLoEMYoayMT/57I5w3SWQAexB+czK0Oc1sd26dYPNZvNeTktLw6uvvoqysjK/zkv91FNPYeLEid7LTqeTg+xv/Prrr6hdu7buMsgAZigb87uwTyb0FnFIpN33tkPzZs1q5LkWrv0Zn23YB08lR68Mstlwa9cUDO/ZskZqkaCouPSSa/TZg/KZlaH2dx+HwwGHw6G7DMtq0aKF7hLIIGYoG/O7sLDQYMsPsaWlpTiUuw+tWzRDcLD5tfbvlIz0DZWfJ15BoX/nZMt/z6yGPSifWRn6vDnB+vXrK1xu0aKFX2th6dJ27typuwQyiBnKxvxkO3v2LPr161djf5JOjI3ExIHtYLOdW/Ma9N9/bTZg4sB2SKzLnbp8xR6Uz6wMff518MCBA5g4cSLuv/9+/Pjjj5g5cyZeffVVAMDJkyeRm5uLvLw8AP9XdHx8POLj46ux7MtHQkKC7hLIIGYoG/MjX/Vpn4Qrk+piefYBHD1TiLiYcPTtmMQB1k/sQfnMytDnIXb48OEoLCxEly5dYLfb8fDDD2Ps2LEAgM8//xx/+MMfvMvefffdAIDJkydjypQp1VPxZSY0NFR3CWQQM5SN+ZE/EutGYlTv1rrLCAjsQfnMytCmVCVbn2vE81yXt2XLFrRt21Z3GWQAM5SN+clWUFCADh06ICcnB1FRUbrLIT+wB+XzNcOqzoIcYomIiIjIMqo6C/q8YxfVrP379+sugQxihrIxP9mKi4vx0ksvobi4WHcp5Cf2oHxmZcgh1uLCwsJ0l0AGMUPZmJ9sRUVFePLJJ1FUVKS7FPITe1A+szLkEGtxcXFxuksgg5ihbMyPSC/2oHxmZcgh1uIyMzN1l0AGMUPZmB+RXuxB+czKkDt2ERFRwHK5XLjtttuQnp6OyEgep5VIAu7YFSCOHj2quwQyiBnKxvxki4yMxMKFCznACsYelM+sDDnEWhx3RpCPGcrG/GRzu92YNm0a3G637lLIT+xB+czKkJsTEBFRwOJnCpE83JwgQGzZskV3CWQQM5SN+RHpxR6Uz6wMOcRaXIsWLXSXQAYxQ9mYH5Fe7EH5zMqQQ6zF8Swz8jFD2ZifbCEhIRg2bBhCQkJ0l0J+Yg/KZ1aGHGIt7vDhw7pLIIOYoWzMT7bw8HA8/fTTCA8P110K+Yk9KJ9ZGXKItbhWrVrpLoEMYoayMT/ZCgsL8fLLL6OwsFB3KeQn9qB8ZmXIIdbidu3apbsEMogZysb8ZCspKcGcOXNQUlKiuxTyE3tQPrMy5BBrcfXr19ddAhnEDGVjfkR6sQflMytDDrEWFxERobsEMogZysb8iPRiD8pnVoYcYi1u+/btuksgg5ihbMxPNofDgfvvvx8Oh0N3KeQn9qB8ZmXIM3YRERERkWXwjF0B4sCBA7pLIIOYoWzMTzaXy4WePXvC5XLpLoX8xB6Uz6wMOcRaXHBwsO4SyCBmKBvzk62srAzffvstysrKdJdCfmIPymdWhhxiLS4hIUF3CWQQM5SN+RHpxR6Uz6wMOcRaXFZWlu4SyCBmKBvzI9KLPSifWRlyxy6L83g8CAri7xqSMUPZmJ9sxcXFmD9/PkaOHInQ0FDd5ZAf2IPy+Zohd+wKECdOnNBdAhnEDGVjfrKFhobi1ltv5QArGHtQPrMy5BBrcQUFBbpLIIOYoWzMT7aCggL06NGDOQrG7OQzK0NuTkBERAGLnylE8nBzggCxdetW3SWQQcxQNuZHpBd7UD6zMuQQa3FNmjTRXQIZxAxlY35EerEH5TMrQw6xFscDdMvHDGVjfrJFREQgPT0dERERukshP7EH5TMrQw6xFnfw4EHdJZBBzFA25idbcHAwWrduzbM+CcYelM+sDLljFxERBSyn04lGjRrh4MGD/EwhEoI7dgWIPXv26C6BDGKGsjE/+fLz83WXQAawB+UzK0MOsRZXp04d3SWQQcxQNuZHpBd7UD6zMuQQa3HR0dG6SyCDmKFszI9IL/agfGZlyCHW4n766SfdJZBBzFA25idbZGQkFi1ahMjISN2lkJ/Yg/KZlSF37CIiooCllEJ+fj6io6Nhs9l0l0NEVcAduwLEoUOHdJdABjFD2ZifbPn5+YiJieHOXYKxB+UzK0MOsRbHNQfyMUPZmB+RXuxB+czKkEOsxTVs2FB3CWQQM5SN+RHpxR6Uz6wMOcRa3I8//qi7BDKIGcrG/Ij0Yg/KZ1aG3LHL4kpLS3m6ROGYoWzMTzalFE6dOoU6derwz9JCsQfl8zVD7tgVIM6cOaO7BDKIGcrG/GTzeDzYvn07PB6P7lLIT+xB+czKkEOsxZ0+fVp3CWQQM5SN+cnmcrlwzTXXwOVy6S6F/MQelM+sDH0aYnv16oXx48ebUghVrlmzZrpLIIOYoRxFxaXoO3Up+k5diqLiUgDMj8xV2c8clccelM+sDKttTWxJSQmeeOIJtG3bFpGRkWjYsCGGDx+OvLy86nqKy9K2bdt0l0AGMUPZmB+RXuxB+czKsNq2lD579ix+/PFHPPvss2jfvj1OnTqF8ePH45ZbbkFWVlZ1Pc1lp3HjxrpLIIOYoWzMr2oOnXBhec4BHD1TiLiYcPTtkITEWGuc6tWs87ZTzWAPymdWhj4PsaWlpRg3bhzef/992O12PPjgg5g6dSpiYmKwcuXKcsvOnDkTXbp0QW5uLn8I/cS9aeVjhrIxv0tbnnMAM5Zshg02KCjYYMM/M/Zg4sB26NM+SWtttWrVwuHDhxEZaY2BmnzHHpTPrAx9HmIXLFiA0aNHY8OGDcjKysLYsWORnJyMMWPGVFj2zJkzsNlsqF27dnXUelnat28frrzySt1lkAHMUKbz2yfu3P0LrmjTRnM11pV30oUZSzZDKUDh3BEbz/87/YvNaBFfCwl19A2QpaWlmL/w/2HkiJGWPEwTt4O9NL6HymdWhj4dJ7ZXr144duwYtm7d6p2qn3zySXz++ecVtncoKirCNddcg9atW+P999+/4GO63W643W7vZafTiaSkJB4nlohqXFFxKQa9tFx3GVSNSovO4psXBuOGv/wTwWERusu5qH8/0RdhodYbtIlqmmnHie3WrVu51cJpaWnYtWsXysrKvNeVlJTg7rvvhsfjwVtvvXXRx5s2bRpiYmK8X0lJev/0ZDW//PKL7hLIIGZIROQ/vofKZ1aG1f4rX0lJCQYPHoy9e/fim2++ueTa1KeeegoTJ070Xj6/JpbO4dpo+ZihTJ9M6I2w0GAcP3EC9WJjdZdjWQvX/ozPNuyDp5I/6gXZbLi1awqG92ypobJznE4n4l4APprQ25K9WFRcirtmrNJdhqVZMTfyjVkZ+jzErl+/vsLlFi1awG63ewfYXbt2YfXq1Yitwhu/w+GAw+HwtYzLRt26dXWXQAYxQ5nCQoMRFhqMhnH1ERTE88JcSP9OyUjfsLfS2xQU+ndO1von8tKwUFxxxRWICAvln+qF4nuofGZl6PM784EDBzBx4kTs3LkTH330EWbOnIk//elPKC0txR133IGsrCx88MEHKCsrw5EjR3DkyBEUFxebUftlITs7W3cJZBAzlI35XVxibCQmDmwHm+3cmteg//5rswETB7ZDYl29RwWIiorCwoULERUVpbUO8h97UD6zMvT519Lhw4ejsLAQXbp0gd1ux8MPP4yxY8di//79+PzzzwEAHTp0KHef1atXo1evXtVR72Wnc+fOuksgg5ihbMzv0vq0T8KVSXWxPPs3x4ntmKR9gAWA4uJiZGdno23btggNDdVdDvmBPSifWRn6NMSuWbPG+/9Zs2aVuy0lJQU+HOiAqujw4cNISEjQXQYZwAxlY35Vk1g3EqN6t9ZdRgVFRUUYM2YMBg8ezCFWKPagfGZlyA2ELO63R30gmZihHGGhwVj+bP9y1zE/MlNlP3NUHntQPrMy5N4KFteoUSPdJZBBzFA25kekF3tQPrMy5BBrcTk5ObpLIIOYoWzMTza73Y60tDTY7XbdpZCf2IPymZWhT2fsqglVPUvD5aKkpAQhISG6yyADmKFszE8+Zigb85PP1wxNO2MX1ayCggLdJZBBzFA25ieb2+3GM888U+705iQLe1A+szLkEGtxx48f110CGcQMZWN+srndbvz973/nECsYe1A+szLk5gRERBSw+JlCJA83JwgQO3bs0F0CGcQMZWN+RHqxB+UzK0MOsRbXsGFD3SWQQcxQNuYnW0hICIYNG8YdgwRjD8pnVoYcYi2Ob7zyMUPZmJ9s4eHheOeddxAeHq67FPITe1A+szLkEGtxu3fv1l0CGcQMZWN+shUWFmLo0KEoLCzUXQr5iT0on1kZcscuIiIKWPxMIZKHO3YFiH379ukugQxihrIxPyK92IPymZUhh1iLi4iI0F0CGcQMZWN+RHqxB+UzK0MOsRbXoEED3SWQQcxQNuYnm8PhwOTJk+FwOHSXQn5iD8pnVoYcYi0uMzNTdwlkEDOUjfnJ5nA40L9/fw6xgrEH5TMrQ+7YRUREAcvlcuG2225Deno6IiMjdZdDRFXAHbsCxNGjR3WXQAYxQ9mYn2xlZWVYsWIFysrKdJdCfmIPymdWhhxiLc7tdusugQxihrIxPyK92IPymZUhh1iLa9y4se4SyCBmKBvzI9KLPSifWRlyiLW4zZs36y6BDGKGsjE/2cLCwjB58mSEhYXpLoX8xB6Uz6wMuWOXxbndbu5VKxwzlI35yccMZWN+8vmaIXfsChBFRUW6SyCDmKFszE+2goICdOjQAQUFBbpLIT+xB+UzK0MOsRZ35MgR3SWQQcxQNuYnm8fjwY4dO+DxeHSXQn5iD8pnVobcnICIiAIWP1OI5OHmBAHi559/1l0CGcQMZWN+RHqxB+UzK0MOsRYXFxenuwQyiBnKxvxki4iIwKeffoqIiAjdpZCf2IPymZUhh1iL42Fh5GOGsjE/2YKDg9G/f38EBwfrLoX8xB6Uz6wMOcRa3I4dO3SXQAYxQ9mYn2xOpxOxsbFwOp26SyE/sQflMytD7thFREQBi58pRPJwx64AkZubq7sEMogZysb8iPRiD8pnVoYcYi0uNDRUdwlkEDOUjfkR6cUelM+sDDnEWlx8fLzuEsggZigb85MtMjISP/30EyIjI3WXQn5iD8pnVoYcYi0uKytLdwlkEDOUjfnJFhQUhF9//RVBQfy4k4o9KJ9ZGXLHLotTSsFms+kugwxghrIxP9n4mSIfe1A+XzPkjl0B4tdff9VdAhnEDGVjfkR6sQflMytDDrEWd/bsWd0lkEHMUDbmR6QXe1A+szLkEGtxKSkpuksgg5ihbMyPSC/2oHxmZcgh1uJ++ukn3SWQQcxQNuYnW3R0NDIyMhAdHa27FPITe1A+szLkEGtxzZo1010CGcQMZWN+snk8HoSEhMDj8eguhfzEHpTPrAw5xFpcaWmp7hLIIGYoG/OTzeVy4aqrroLL5dJdCvmJPSifWRlyiLW4Q4cO6S6BDGKGsjE/Ir3Yg/KZlSGPE0tERAGLnylE8vA4sQFi9+7duksgg5ihbMxPPp5yVjb2oHxmZejTENurVy+MHz/elEKocnXr1tVdAhnEDGVjfrLVqlULubm5NbIWtqi4FH2nLkXfqUtRVMztOKvLxXqQ33MZzHofrdY1sVOmTEHr1q0RGRmJOnXq4MYbb8SGDRuq8ykuOzwsjHzMUDbmJ1tpaSkyMjK4c5Bg7EH5zMqwWofYli1b4s0338SWLVvwn//8BykpKejTpw9PGWfA1q1bdZdABjFD2ZifbGfPnsWAAQN41qeLOHTChbmrdmBaejbmrtqBQyesdSQH9qB8ZmXo8xBbWlqKcePGoXbt2oiNjcUzzzyD8/uGDRkyBDfeeCOaNm2KK6+8EtOnT4fT6cTmzZurvfDLRYcOHXSXQAYxQ9mYHwWy5TkHMHrWGizK+AVrt+VhUcYvGD1rDVZsOqC7NC/2oHxmZRjs6x0WLFiA0aNHY8OGDcjKysLYsWORnJyMMWPGlFuuuLgYs2fPRkxMDNq3b19tBV9uDh48iEaNGukugwxghrIxP/KHhO0z8066MGPJZigFKJxbGXX+3+lfbEaL+FpIqKN/p7hDhw4hMTGx0tskfJ/JvPdRn4fYpKQkzJgxAzabDa1atcKWLVswY8YM7xC7ZMkS3H333Th79iwSEhKwcuVK1KtX74KP53a74Xa7vZedTqcfLyNwBQXxABLSMUPZmJ9sQUFBaNmyZY3neNeMVTX6fNVNKeCB2f/RXcZv8NSzkpnVfz4/ardu3WCz2byX09LSsGvXLpSVlQEArr/+euTk5OD7779Hv379MHjwYBw7duyCjzdt2jTExMR4v5KSkvx4GYGrYcOGuksgg5ihbMxPtqioKOzcuRNRUVG6SyG6bJn1PurzmthLiYyMRPPmzdG8eXN069YNLVq0wJw5c/DUU09VuvxTTz2FiRMnei87nU4Osr+xceNGdO7cWXcZZAAzlI35yVZcXIypU6fi2WefRWhoaI097ycTeiMstNo/YqvVwrU/47MN++Cp5JxHQTYbbu2aguE9W2qorLzs7Gx07Nix0tuKikvFr/W+HJj1Pupzh61fv77C5RYtWsBut1e6vFKq3OYC/8vhcMDhcPhaxmWDG7TLxwxlY36yFRUV4fnnn8djjz1Wo0NsWGiw5YfY/p2Skb5hb6W3KSj075xsidfQ5apOF5wxSAaz3kd93pzgwIEDmDhxInbu3ImPPvoIM2fOxJ/+9Ce4XC785S9/wfr167F//378+OOPuO+++3Dw4EHceeedZtR+WTh16pTuEsggZigb86NAlRgbiYkD28FmO7fmNei//9pswMSB7ZBYV/9OXQB7MBCYlaHPv2INHz4chYWF6NKlC+x2Ox5++GGMHTsWbrcbO3bswIIFC3D8+HHExsbi6quvxrp163DllVeaUftlwel0XnTHOLI+Zigb86NA1qd9Eq5Mqovl2Qdw9Ewh4mLC0bdjkmUGWIA9GAjMytCnIXbNmjXe/8+aNavcbWFhYUhPT6+Wouj/NG3aVHcJZBAzlI35yWa329GnTx/+OfoiEutGYlTv1rrLuCD2oHxmZWhTqpItujVyOp2IiYnBmTNnauRc11a3bds2XHHFFbrLIAOYoWzMTz5mKBvzk8/XDKs6C/IAiBaXnJysuwQyiBnKxvxkc7vdeP/99y+6gzFZG3tQPrMy5BBrcRZbUU5+YIayMT/Z3G43pk2bxiFWMPagfGZlyCHW4nJzc3WXQAYxQ9mYH5Fe7EH5zMqQ28QSEVHA4mcKkTzcJjZA/PLLL7pLIIOYoWzMT7aQkBAMHjwYISEhukshP7EH5TMrQw6xFhcTE6O7BDKIGcrG/GQLDw/HW2+9hfDwcN2lkJ/Yg/KZlSGHWIurXbu27hLIIGYoG/OTrbCwEI8//jgKCwt1l0J+Yg/KZ1aGHGItbtOmTbpLIIOYoWzMT7aSkhLMnTsXJSUlukshP7EH5TMrQ+7YRUREAYufKUTyVLVvfTrtbE04P1M7nU7NlVjD4cOHkZCQoLsMMoAZysb8ZDv/WcLPFLnYg/L5muH5fr3UelbLDbH5+fkAgKSkJM2VEBFRoOBnCpE8+fn5F90pzHKbE3g8HuTl5SE6Oho2m013OVo5nU4kJSXhwIED/DOYUMxQNuYnHzOUjfnJ50+GSink5+ejYcOGCAq68O5bllsTGxQUhEaNGukuw1Jq1arF5hWOGcrG/ORjhrIxP/l8zbAqh+Xi0QmIiIiISBwOsUREREQkDodYC3M4HJg8eTIcDofuUshPzFA25icfM5SN+clnZoaW27GLiIiIiOhSuCaWiIiIiMThEEtERERE4nCIJSIiIiJxOMRazN/+9jd0794dERERqF27dpXuM3LkSNhstnJf3bp1M7dQuiB/MlRKYcqUKWjYsCHCw8PRq1cvbN261dxCqVKnTp3CsGHDEBMTg5iYGAwbNgynT5++6H3Yg3q99dZbaNKkCcLCwtC5c2esW7fuosuvXbsWnTt3RlhYGJo2bYq33367hiqlyviS35o1ayr0ms1mw44dO2qwYjrv22+/xcCBA9GwYUPYbDYsXrz4kvepzv7jEGsxxcXFuPPOO/Hggw/6dL9+/frh8OHD3q8vv/zSpArpUvzJ8O9//zumT5+ON998E5mZmYiPj8dNN93kPQ0z1ZwhQ4YgJycHy5Ytw7Jly5CTk4Nhw4Zd8n7sQT0++eQTjB8/Hk8//TSys7Nx7bXX4ne/+x1yc3MrXX7v3r24+eabce211yI7Oxt/+ctf8Mgjj+DTTz+t4coJ8D2/83bu3Fmu31q0aFFDFdNvuVwutG/fHm+++WaVlq/2/lNkSfPmzVMxMTFVWnbEiBFq0KBBptZDvqtqhh6PR8XHx6sXX3zRe11RUZGKiYlRb7/9tokV0v/atm2bAqDWr1/vvS4jI0MBUDt27Ljg/diD+nTp0kU98MAD5a5r3bq1evLJJytd/vHHH1etW7cud93999+vunXrZlqNdGG+5rd69WoFQJ06daoGqiNfAFCfffbZRZep7v7jmtgAsWbNGjRo0AAtW7bEmDFjcOzYMd0lURXt3bsXR44cQZ8+fbzXORwO9OzZE99//73Gyi4/GRkZiImJQdeuXb3XdevWDTExMZfMgj1Y84qLi7Fx48ZyvQMAffr0uWBeGRkZFZbv27cvsrKyUFJSYlqtVJE/+Z3XsWNHJCQkoHfv3li9erWZZVI1qu7+4xAbAH73u9/hgw8+wDfffINXX30VmZmZuOGGG+B2u3WXRlVw5MgRAEBcXFy56+Pi4ry3Uc04cuQIGjRoUOH6Bg0aXDQL9qAex48fR1lZmU+9c+TIkUqXLy0txfHjx02rlSryJ7+EhATMnj0bn376KdLT09GqVSv07t0b3377bU2UTAZVd/9xiK0BU6ZMqXRD9N9+ZWVl+f34d911F/r374/U1FQMHDgQX331FX7++WcsXbq0Gl/F5c3sDAHAZrOVu6yUqnAd+ceX/Cr7nl8qC/agXr72TmXLV3Y91Qxf8mvVqhXGjBmDTp06IS0tDW+99Rb69++PV155pSZKpWpQnf0XXC0V0UWNGzcOd99990WXSUlJqbbnS0hIQHJyMnbt2lVtj3m5MzPD+Ph4AOd+Q01ISPBef+zYsQq/sZJ/qprf5s2bcfTo0Qq3/frrrz5lwR6sGfXq1YPdbq+w1u5ivRMfH1/p8sHBwYiNjTWtVqrIn/wq061bN7z//vvVXR6ZoLr7j0NsDahXrx7q1atXY8934sQJHDhwoNxARMaYmWGTJk0QHx+PlStXomPHjgDObSu2du1avPTSS6Y85+WmqvmlpaXhzJkz+OGHH9ClSxcAwIYNG3DmzBl07969ys/HHqwZoaGh6Ny5M1auXIlbb73Ve/3KlSsxaNCgSu+TlpaGL774otx1K1aswFVXXYWQkBBT66Xy/MmvMtnZ2ew1Iaq9//zaHYxMs3//fpWdna2ee+45FRUVpbKzs1V2drbKz8/3LtOqVSuVnp6ulFIqPz9fPfroo+r7779Xe/fuVatXr1ZpaWkqMTFROZ1OXS/jsuZrhkop9eKLL6qYmBiVnp6utmzZou655x6VkJDADDXo16+fateuncrIyFAZGRmqbdu2asCAAeWWYQ9ax8cff6xCQkLUnDlz1LZt29T48eNVZGSk2rdvn1JKqSeffFINGzbMu/wvv/yiIiIi1IQJE9S2bdvUnDlzVEhIiPrXv/6l6yVc1nzNb8aMGeqzzz5TP//8s/rpp5/Uk08+qQCoTz/9VNdLuKzl5+d7P+MAqOnTp6vs7Gy1f/9+pZT5/cch1mJGjBihAFT4Wr16tXcZAGrevHlKKaXOnj2r+vTpo+rXr69CQkJU48aN1YgRI1Rubq6eF0A+Z6jUucNsTZ48WcXHxyuHw6Guu+46tWXLlpovntSJEyfU0KFDVXR0tIqOjlZDhw6tcDgf9qC1/OMf/1DJyckqNDRUderUSa1du9Z724gRI1TPnj3LLb9mzRrVsWNHFRoaqlJSUtSsWbNquGL6LV/ye+mll1SzZs1UWFiYqlOnjrrmmmvU0qVLNVRNSv3fIc/+92vEiBFKKfP7z6bUf7eoJSIiIiISgkcnICIiIiJxOMQSERERkTgcYomIiIhIHA6xRERERCQOh1giIiIiEodDLBERERGJwyGWiIiIiMThEEtERERE4nCIJSKiKklJScFrr72muwwiIgAcYolIoJEjR8Jms8FmsyEkJARNmzbFn//8Z7hcLt2l+Y0DIhGRb4J1F0BE5I9+/fph3rx5KCkpwbp163DffffB5XJh1qxZPj+WUgplZWUIDpb/llhcXIzQ0FDdZRARmY5rYolIJIfDgfj4eCQlJWHIkCEYOnQoFi9eDAB4//33cdVVVyE6Ohrx8fEYMmQIjh075r3vmjVrYLPZsHz5clx11VVwOBxYt24d9uzZg0GDBiEuLg5RUVG4+uqr8fXXX5d73pSUFDz//PMYPnw4oqKikJycjH//+9/49ddfMWjQIERFRaFt27bIysoqd7/vv/8e1113HcLDw5GUlIRHHnnEu+a4V69e2L9/PyZMmOBdw1yV+/22npEjRyImJgZjxoyp8L165513kJiYCI/HU+76W265BSNGjACAKr3239q3bx9sNhtycnK8150+fRo2mw1r1qzxXrdt2zbcfPPNiIqKQlxcHIYNG4bjx49f8HGJiKqKQywRBYTw8HCUlJQAOLc2curUqdi0aRMWL16MvXv3YuTIkRXu8/jjj2PatGnYvn072rVrh4KCAtx88834+uuvkZ2djb59+2LgwIHIzc0td78ZM2agR48eyM7ORv/+/TFs2DAMHz4c9957L3788Uc0b94cw4cPh1IKALBlyxb07dsXt912GzZv3oxPPvkE//nPfzBu3DgAQHp6Oho1aoS//vWvOHz4MA4fPlyl+5338ssvIzU1FRs3bsSzzz5b4XXeeeedOH78OFavXu297tSpU1i+fDmGDh0KAFV+7b44fPgwevbsiQ4dOiArKwvLli3D0aNHMXjwYL8fk4jISxERCTNixAg1aNAg7+UNGzao2NhYNXjw4EqX/+GHHxQAlZ+fr5RSavXq1QqAWrx48SWf64orrlAzZ870Xk5OTlb33nuv9/Lhw4cVAPXss896r8vIyFAA1OHDh5VSSg0bNkyNHTu23OOuW7dOBQUFqcLCQu/jzpgxo9wyVb3f73//+0u+jltuuUWNGjXKe/mdd95R8fHxqrS01KfXfr7GvXv3KgAqOzvbe/upU6cUALV69WqllFLPPvus6tOnT7nHPHDggAKgdu7cecmaiYguhmtiiUikJUuWICoqCmFhYUhLS8N1112HmTNnAgCys7MxaNAgJCcnIzo6Gr169QKACmsVr7rqqnKXXS4XHn/8cVxxxRWoXbs2oqKisGPHjgr3a9eunff/cXFxAIC2bdtWuO78JgwbN27E/PnzERUV5f3q27cvPB4P9u7de8HXWNX7/e/rqMzQoUPx6aefwu12AwA++OAD3H333bDb7T69dl9s3LgRq1evLld/69atAZzbfIGIyAj5ezEQ0WXp+uuvx6xZsxASEoKGDRsiJCQEwLlhrE+fPujTpw/ef/991K9fH7m5uejbty+Ki4vLPUZkZGS5y4899hiWL1+OV155Bc2bN0d4eDjuuOOOCvc7/1wAvNuvVnbd+W1QPR4P7r//fjzyyCMVXkfjxo0v+Bqrer//fR2VGThwIDweD5YuXYqrr74a69atw/Tp0723V/W1nxcUdG4diPrvJhMAvJtz/Lb+gQMH4qWXXqpw/4SEhEvWTER0MRxiiUikyMhING/evML1O3bswPHjx/Hiiy8iKSkJACrsZHUh69atw8iRI3HrrbcCOLed6L59+wzX2qlTJ2zdurXSes8LDQ1FWVmZz/erqvDwcNx222344IMPsHv3brRs2RKdO3f23u7ra69fvz6Ac9u9duzYEQDK7eR1vv5PP/0UKSkpAXHkByKyFm5OQEQBpXHjxggNDcXMmTPxyy+/4PPPP8fUqVOrdN/mzZsjPT0dOTk52LRpE4YMGVJhj35/PPHEE8jIyMBDDz2EnJwc7Nq1C59//jkefvhh7zIpKSn49ttvcejQIe/e+1W5ny+GDh2KpUuXYu7cubj33nvL3ebraw8PD0e3bt3w4osvYtu2bfj222/xzDPPlFvmoYcewsmTJ3HPPffghx9+wC+//IIVK1Zg1KhRFQZ2IiJfcYglooBSv359zJ8/H4sWLcIVV1yBF198Ea+88kqV7jtjxgzUqVMH3bt3x8CBA9G3b1906tTJcE3t2rXD2rVrsWvXLlx77bXo2LEjnn322XJ/Uv/rX/+Kffv2oVmzZt61nFW5ny9uuOEG1K1bFzt37sSQIUPK3ebPa587dy5KSkpw1VVX4U9/+hOef/75crc3bNgQ3333HcrKytC3b1+kpqbiT3/6E2JiYrybIxAR+cumfrtBExERERGRAPxVmIiIiIjE4RBLREREROJwiCUiIiIicTjEEhEREZE4HGKJiIiISBwOsUREREQkDodYIiIiIhKHQywRERERicMhloiIiIjE4RBLREREROJwiCUiIiIicTjEEhEREZE4/x9VOi7/SQW6KwAAAABJRU5ErkJggg==" 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" 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}, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Best ARX (BIC) — AIC = -2.8133, BIC = -2.7260\n" ] } ], "execution_count": 16 }, { "metadata": {}, "cell_type": "markdown", "source": "Now let's see how closely the theoretical impulse response and disturbance ACF match with the experimental versions for the ARX model.", "id": "eeed808b77f58115" }, { "metadata": { "ExecuteTime": { "end_time": "2026-06-09T19:36:24.859121Z", "start_time": "2026-06-09T19:36:24.724254Z" } }, "cell_type": "code", "source": [ "# Noise variance from one-step prediction errors\n", "e_arx = y - pmod_arx.predict(y, u)\n", "var_e_arx = np.var(e_arx)\n", "print(f'Noise variance estimate: {var_e_arx:.6f}')\n", "\n", "# Theoretical impulse response (G) and H ACF from the fitted model.\n", "# lagmax covers both the impulse response length and rv positive-lag range.\n", "lagmax_g = len(g_ir) # match experimental g_ir length\n", "lagmax_h = rv.squeeze().shape[0] // 2 + 1 # positive lags of rv\n", "lagmax_c = max(lagmax_g, lagmax_h)\n", "acf_theory_H, _, g_ir_theory = partoacf_pmod(pmod_arx, var_e_arx, lagmax_c)\n", "\n", "# ── Plot 1: G impulse response ──────────────────────────────────────────────\n", "lags_g = np.arange(lagmax_g)\n", "fig, ax = plt.subplots(figsize=(12, 4))\n", "ax.stem(lags_g, g_ir, linefmt='C0-', markerfmt='C0o', basefmt='k-',\n", " label=r'Experimental $\\hat{g}(\\tau)$ (multiAnal)')\n", "ax.plot(lags_g, g_ir_theory[:lagmax_g], 'r-o', markersize=5, linewidth=1.5,\n", " label='Theoretical (BJTF fit)')\n", "ax.set_title('G Impulse Response: Experimental vs Theoretical')\n", "ax.set_xlabel(r'Lag $\\tau$')\n", "ax.set_ylabel(r'$g(\\tau)$')\n", "ax.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# ── Plot 2: H autocorrelation — rv vs theoretical ───────────────────────────\n", "rv_s = rv.squeeze()\n", "mid_rv = len(rv_s) // 2\n", "rv_pos = rv_s[mid_rv:mid_rv + lagmax_h]\n", "\n", "acf_H_norm = acf_theory_H[:lagmax_h] / acf_theory_H[0]\n", "rv_norm = rv_pos / rv_pos[0]\n", "\n", "lags_h = np.arange(lagmax_h)\n", "fig, ax = plt.subplots(figsize=(12, 4))\n", "ax.stem(lags_h, rv_norm, linefmt='C0-', markerfmt='C0o', basefmt='k-',\n", " label=r'Experimental $r_v$ (multiAnal)')\n", "ax.plot(lags_h, acf_H_norm, 'r-o', markersize=4, linewidth=1.5,\n", " label='Theoretical (H model)')\n", "ax.set_title(r'H Autocorrelation: Experimental $r_v$ vs Theoretical')\n", "ax.set_xlabel('Lag')\n", "ax.set_ylabel('Normalised autocovariance')\n", "ax.legend()\n", "plt.tight_layout()\n", "plt.show()" ], "id": "d9249cf84b2733d7", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Noise variance estimate: 0.057205\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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}, "metadata": {}, "output_type": "display_data" } ], "execution_count": 18 }, { "metadata": {}, "cell_type": "markdown", "source": "We can see that the impulse response for G is reasonably accurate, but the ACF of the disturbance is not accurate. This is expected, since the ARX model has no flexibility in setting the H transfer function.", "id": "b357d239bb923070" }, { "cell_type": "markdown", "id": "bj33", "metadata": {}, "source": "## Conclusion\n\nThe system identification process for Box-Jenkins Series J (gas furnace) confirmed the **BJTF model** as the most flexible and interpretable choice for this input-output system.\n\n**Summary of the four-step process:**\n\n1. **Model class**: BJTF — separate G (input TF) and H (noise TF) polynomials.\n2. **Order selection**: `uniAnal` on u → AR(3) for the input; `multiAnal` → impulse response identified delay $k = 3$; G GPAC identified $n_b = 2$, $n_f = 2$; H GPAC identified $n_c = 0$, $n_d = 2$.\n3. **Estimation**: Levenberg-Marquardt converged cleanly; f₂ confidence interval included zero.\n4. **Validation**: Both `multiChi` tests (Q and S) passed.\n5. **Automated selection**: `selpmod` with BIC confirmed the model and reduced $n_f$ to 1.\n\n**Model class comparison:**\n\n| Model | G and H poles shared? | Flexibility | Typical AIC/BIC rank |\n|-------|-----------------------|-------------|----------------------|\n| BJTF | No — estimated independently | Highest | Best |\n| ARMAX | Yes, via A polynomial | Medium | Comparable |\n| ARX | Yes, no MA term | Lowest | Highest |\n\nBJTF provides the clearest physical picture: G captures how changes in gas flow rate propagate to CO₂ output after a 3-sample delay, while H independently captures the stochastic disturbance dynamics.\n\n**Reference:** Box, G. E. P., & Jenkins, G. M. (1976). *Time Series Analysis: Forecasting and Control* (Rev. ed.), Chapter 11." } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "name": "python", "version": "3.9.0" } }, "nbformat": 4, "nbformat_minor": 5 }