diff --git "a/Squirrel Maze Double Q Learning Deterministic Environment.ipynb" "b/Squirrel Maze Double Q Learning Deterministic Environment.ipynb"
new file mode 100644--- /dev/null
+++ "b/Squirrel Maze Double Q Learning Deterministic Environment.ipynb"
@@ -0,0 +1,665 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# import cv2\n",
+    "import gym as gym\n",
+    "from gym import spaces\n",
+    "import matplotlib.pyplot as plt\n",
+    "from matplotlib.offsetbox import OffsetImage, AnnotationBbox\n",
+    "import numpy as np\n",
+    "import optuna"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Tablular Method - Double Q Learning"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### For Deterministic Environment"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Episode: 100\n",
+      "Q-table 1:\n",
+      "[[122.55248351  94.92371725 105.15089081  95.35365562]\n",
+      " [163.27454864  51.35314372  40.72800624  48.51260594]\n",
+      " [ 32.21309189  16.21186432 107.13880473  51.01106218]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [  4.43409301  55.3868515  170.63226209  46.01050564]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ 38.32976145   9.83198341  26.81952025 145.43183723]\n",
+      " [  0.         104.58452184   6.6085708    0.67415526]\n",
+      " [  4.48514774  36.26191747   8.26383089  -2.51883586]\n",
+      " [  9.27443927 116.2712875   15.32975199  -1.48074017]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ 17.10569831   0.           5.26354079   0.64031147]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ -1.929375    22.07472977   1.5         -5.59962743]\n",
+      " [ -0.75        25.91989069   0.           0.        ]\n",
+      " [  0.           0.           0.           0.        ]]\n",
+      "Q-table 2:\n",
+      "[[107.26752189 107.18804793 108.52705895 115.5309421 ]\n",
+      " [167.36888698  80.00109886  41.94090877  56.91355365]\n",
+      " [ 46.44365469  14.6074237   72.55155412  36.74415925]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ 13.25204914  35.343725   161.15868887  97.65416093]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ 28.23253469  27.32687257  42.83959601 109.10847322]\n",
+      " [  7.12438917  26.31058431  24.57083385  24.4689704 ]\n",
+      " [ -7.07395323  26.08291826  77.34913129   0.79105242]\n",
+      " [  4.94668747 109.14161108  25.31027489  -1.69242906]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ 50.7907453    0.75405342  -0.26459689   0.        ]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ -0.856875    28.71467344   1.5          5.25556191]\n",
+      " [ -0.75         0.           0.           0.        ]\n",
+      " [  0.           0.           0.           0.        ]]\n",
+      "Average Penalties in Last 100 Episodes: 0.46\n",
+      "Episode: 100, Average Steps: 9.83\n",
+      "Episode: 200\n",
+      "Q-table 1:\n",
+      "[[351.46250635 237.43090629 185.92809472 276.64180424]\n",
+      " [323.34280784 102.79337964  53.12383278  83.1395369 ]\n",
+      " [ 32.21309189  27.6024502  156.34593575  68.07299547]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [112.96918352 231.44672167 372.24175446 212.58151237]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ 73.19792987  32.09877911  62.41294463 271.44883587]\n",
+      " [  8.73768121 179.11727972  16.2869608   14.6209894 ]\n",
+      " [ 59.06976999  89.72398574 220.00323242  20.16062203]\n",
+      " [134.36582522 377.19211519 162.41392114 190.43079435]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ 82.92519153  15.97746479   5.26354079   0.64031147]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ 22.26926182 256.06335799  12.57854481  -5.59962743]\n",
+      " [ 19.04693547  55.59032171  26.30221112   0.        ]\n",
+      " [  0.           0.           0.           0.        ]]\n",
+      "Q-table 2:\n",
+      "[[ 3.43730434e+02  2.41523895e+02  1.98367250e+02  2.67325349e+02]\n",
+      " [ 3.06830435e+02  9.11132425e+01  7.84347605e+01  1.30902773e+02]\n",
+      " [ 8.75229942e+01  3.13328786e+01  1.26043130e+02  5.29991585e+01]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 1.50827649e+02  2.06647424e+02  3.72107522e+02  2.33025808e+02]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 9.38131871e+01  5.12657024e+01  7.05529208e+01  2.87609774e+02]\n",
+      " [ 7.12438917e+00  1.22648876e+02  3.50385031e+01  4.62811225e+01]\n",
+      " [ 6.35069862e+01  2.60829183e+01  2.90117437e+02  3.55671032e+01]\n",
+      " [ 1.34616198e+02  3.90120519e+02  1.49862550e+02  7.61049179e+01]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 7.73886552e+01  7.54053422e-01 -2.64596889e-01  0.00000000e+00]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [-8.56875000e-01  1.73047232e+02  6.46858442e+00  5.25556191e+00]\n",
+      " [ 6.53412084e+00  1.32432596e+02  0.00000000e+00  7.60016736e+00]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]]\n",
+      "Average Penalties in Last 100 Episodes: 0.46\n",
+      "Episode: 200, Average Steps: 9.91\n",
+      "Episode: 300\n",
+      "Q-table 1:\n",
+      "[[493.86197557 370.49485678 400.81488615 405.37420169]\n",
+      " [470.32225179 102.79337964  64.61640391  83.1395369 ]\n",
+      " [ 32.21309189  27.6024502  192.59502788 103.9176468 ]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [234.06254797 253.10985536 540.4460054  212.58151237]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [119.95990466  32.09877911  62.41294463 454.68353205]\n",
+      " [  8.73768121 211.95067025  16.2869608   14.6209894 ]\n",
+      " [ 92.47117057 148.73764072 440.6972865  180.75535834]\n",
+      " [295.47253396 556.4407888  338.46251266 349.3135789 ]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [174.06845662  15.97746479   5.26354079   0.64031147]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ 22.26926182 381.47867388  47.82276474  41.9865718 ]\n",
+      " [ 19.04693547 315.83400108 130.24625775   0.        ]\n",
+      " [  0.           0.           0.           0.        ]]\n",
+      "Q-table 2:\n",
+      "[[513.86940789 388.15711751 333.49413637 437.16774729]\n",
+      " [491.35312582  91.11324251  90.44884225 130.90277327]\n",
+      " [ 87.52299418  31.33287862 126.04313019  52.99915854]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [263.41116747 320.32983252 534.14550309 279.8936321 ]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ 93.81318714  51.26570238  86.99419507 435.41638567]\n",
+      " [  7.12438917 122.64887573  35.03850313  46.2811225 ]\n",
+      " [139.8558745  136.08594914 452.65913352  35.56710317]\n",
+      " [245.00775287 537.48888714 349.52324068 337.48454087]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [168.97450067   0.75405342  10.84193244   0.        ]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ -0.856875   379.41954269  30.61720181  57.39838221]\n",
+      " [ 18.40249653 280.67802488  66.38703266  53.24826968]\n",
+      " [  0.           0.           0.           0.        ]]\n",
+      "Average Penalties in Last 100 Episodes: 0.46\n",
+      "Episode: 300, Average Steps: 9.91\n",
+      "Episode: 400\n",
+      "Q-table 1:\n",
+      "[[5.94245386e+02 4.88264509e+02 3.93175543e+02 5.38301898e+02]\n",
+      " [5.30264225e+02 1.02793380e+02 6.46164039e+01 8.31395369e+01]\n",
+      " [3.22130919e+01 2.76024502e+01 1.92595028e+02 1.03917647e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [3.88267935e+02 3.79925884e+02 6.59699766e+02 2.62942821e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [1.76818616e+02 3.20987791e+01 7.20284677e+01 5.78713089e+02]\n",
+      " [8.73768121e+00 2.11950670e+02 1.62869608e+01 1.46209894e+01]\n",
+      " [9.24711706e+01 1.48737641e+02 5.41919597e+02 1.80755358e+02]\n",
+      " [4.24572127e+02 6.74664428e+02 4.66557364e+02 4.26416681e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.64874105e+02 1.59774648e+01 5.26354079e+00 6.40311472e-01]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.22692618e+01 4.60994065e+02 4.78227647e+01 4.19865718e+01]\n",
+      " [5.54365137e+01 4.68604343e+02 1.30246258e+02 0.00000000e+00]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]]\n",
+      "Q-table 2:\n",
+      "[[630.76373185 476.83744498 478.4855217  549.21906713]\n",
+      " [584.31809758  91.11324251  90.44884225 184.39449068]\n",
+      " [ 87.52299418  31.33287862 126.04313019  52.99915854]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [364.5415291  405.81396713 628.86938371 368.45861138]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [159.07390599  51.26570238  86.99419507 522.10941541]\n",
+      " [  7.12438917 122.64887573  35.03850313  46.2811225 ]\n",
+      " [193.21604156 136.08594914 546.225884    35.56710317]\n",
+      " [377.50834672 632.60831467 408.92834602 412.81339232]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [168.97450067   0.75405342  10.84193244   0.        ]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ -0.856875   537.66936795  30.61720181  57.39838221]\n",
+      " [ 18.40249653 421.54871133  66.38703266  53.24826968]\n",
+      " [  0.           0.           0.           0.        ]]\n",
+      "Average Penalties in Last 100 Episodes: 0.36\n",
+      "Episode: 400, Average Steps: 9.98\n",
+      "Episode: 500\n",
+      "Q-table 1:\n",
+      "[[6.52999207e+02 5.56650300e+02 5.39086800e+02 6.06965523e+02]\n",
+      " [6.44086517e+02 1.02793380e+02 6.46164039e+01 8.31395369e+01]\n",
+      " [3.22130919e+01 2.76024502e+01 1.92595028e+02 1.03917647e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [4.31755088e+02 4.41706478e+02 7.05619672e+02 2.62942821e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [1.76818616e+02 3.20987791e+01 7.20284677e+01 6.38031684e+02]\n",
+      " [8.73768121e+00 2.11950670e+02 1.62869608e+01 1.46209894e+01]\n",
+      " [9.24711706e+01 1.48737641e+02 5.75247747e+02 1.80755358e+02]\n",
+      " [4.80750491e+02 7.16567938e+02 5.39450458e+02 4.55475367e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.64874105e+02 1.59774648e+01 5.26354079e+00 6.40311472e-01]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.22692618e+01 5.49132842e+02 4.78227647e+01 4.19865718e+01]\n",
+      " [5.54365137e+01 5.41311405e+02 1.30246258e+02 7.71785899e+01]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]]\n",
+      "Q-table 2:\n",
+      "[[674.48623128 515.81868912 560.69058176 578.9788012 ]\n",
+      " [645.37165965  91.11324251  90.44884225 249.93356347]\n",
+      " [ 87.52299418  31.33287862 126.04313019  52.99915854]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [393.33310373 477.23669546 708.6637557  368.45861138]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [159.07390599  51.26570238  86.99419507 654.21807381]\n",
+      " [  7.12438917 122.64887573  35.03850313  46.2811225 ]\n",
+      " [193.21604156 136.08594914 600.98897895  35.56710317]\n",
+      " [423.63270957 707.50563078 552.77908641 454.57863994]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [168.97450067   0.75405342  10.84193244   0.        ]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ -0.856875   565.46343007  30.61720181  57.39838221]\n",
+      " [ 18.40249653 536.08281637  66.38703266  53.24826968]\n",
+      " [  0.           0.           0.           0.        ]]\n",
+      "Average Penalties in Last 100 Episodes: 0.31\n",
+      "Episode: 500, Average Steps: 10.0\n",
+      "Episode: 600\n",
+      "Q-table 1:\n",
+      "[[7.09192371e+02 5.93435502e+02 5.82670841e+02 6.26900090e+02]\n",
+      " [6.86112620e+02 1.02793380e+02 6.46164039e+01 8.31395369e+01]\n",
+      " [3.22130919e+01 2.76024502e+01 1.92595028e+02 1.03917647e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [4.73153771e+02 4.76919479e+02 7.57248310e+02 3.28278729e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [1.76818616e+02 3.20987791e+01 7.20284677e+01 6.57446608e+02]\n",
+      " [8.73768121e+00 2.11950670e+02 1.62869608e+01 1.46209894e+01]\n",
+      " [9.24711706e+01 2.25172372e+02 6.69055245e+02 1.80755358e+02]\n",
+      " [4.80750491e+02 7.56837767e+02 5.83321780e+02 5.33468430e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.64874105e+02 1.59774648e+01 5.26354079e+00 6.40311472e-01]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.22692618e+01 5.49132842e+02 4.78227647e+01 1.31440463e+02]\n",
+      " [1.25192634e+02 5.56127040e+02 1.30246258e+02 1.44680340e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]]\n",
+      "Q-table 2:\n",
+      "[[716.10142305 546.55880553 560.69058176 619.15091737]\n",
+      " [684.32350689  91.11324251  90.44884225 308.23809208]\n",
+      " [ 87.52299418  31.33287862 126.04313019  52.99915854]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [393.33310373 505.09509336 747.13598922 368.45861138]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [159.07390599  51.26570238  86.99419507 668.89738464]\n",
+      " [  7.12438917 122.64887573  35.03850313  46.2811225 ]\n",
+      " [193.21604156 136.08594914 677.15691328  35.56710317]\n",
+      " [465.32399133 752.2222938  575.95882235 566.80621035]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [168.97450067   0.75405342  10.84193244   0.        ]\n",
+      " [  0.           0.           0.           0.        ]\n",
+      " [ -0.856875   599.87784228  30.61720181  57.39838221]\n",
+      " [ 18.40249653 585.84812149  66.38703266  53.24826968]\n",
+      " [  0.           0.           0.           0.        ]]\n",
+      "Average Penalties in Last 100 Episodes: 0.14\n",
+      "Episode: 600, Average Steps: 10.0\n",
+      "Episode: 700\n",
+      "Q-table 1:\n",
+      "[[7.37167895e+02 6.15123280e+02 6.04159467e+02 6.66648038e+02]\n",
+      " [7.27530594e+02 1.02793380e+02 6.46164039e+01 8.31395369e+01]\n",
+      " [3.22130919e+01 2.76024502e+01 1.92595028e+02 1.03917647e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [5.02514504e+02 4.76919479e+02 7.81042370e+02 3.28278729e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [1.76818616e+02 3.20987791e+01 7.20284677e+01 6.73593242e+02]\n",
+      " [8.73768121e+00 2.11950670e+02 1.62869608e+01 1.46209894e+01]\n",
+      " [9.24711706e+01 2.25172372e+02 6.95503996e+02 1.80755358e+02]\n",
+      " [5.27976681e+02 7.83708279e+02 5.97693854e+02 5.77138928e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.64874105e+02 1.59774648e+01 5.26354079e+00 6.40311472e-01]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.22692618e+01 5.49132842e+02 4.78227647e+01 1.31440463e+02]\n",
+      " [1.25192634e+02 5.74578324e+02 1.30246258e+02 1.44680340e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]]\n",
+      "Q-table 2:\n",
+      "[[ 7.40269793e+02  5.91699521e+02  6.04691746e+02  6.34842591e+02]\n",
+      " [ 7.07346935e+02  9.11132425e+01  9.04488423e+01  3.08238092e+02]\n",
+      " [ 8.75229942e+01  3.13328786e+01  1.26043130e+02  5.29991585e+01]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 3.93333104e+02  5.05095093e+02  7.76324512e+02  3.68458611e+02]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 1.59073906e+02  5.12657024e+01  8.69941951e+01  6.95183528e+02]\n",
+      " [ 7.12438917e+00  1.22648876e+02  3.50385031e+01  4.62811225e+01]\n",
+      " [ 1.93216042e+02  1.36085949e+02  7.08889117e+02  3.55671032e+01]\n",
+      " [ 4.75276823e+02  7.77502287e+02  5.99799692e+02  6.00392991e+02]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 1.68974501e+02  7.54053422e-01  1.08419324e+01  0.00000000e+00]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [-8.56875000e-01  6.60970925e+02  3.06172018e+01  5.73983822e+01]\n",
+      " [ 1.84024965e+01  6.04069604e+02  6.63870327e+01  5.32482697e+01]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]]\n",
+      "Average Penalties in Last 100 Episodes: 0.06\n",
+      "Episode: 700, Average Steps: 10.0\n",
+      "Episode: 800\n",
+      "Q-table 1:\n",
+      "[[7.48394239e+02 6.33772661e+02 6.20328755e+02 6.66648038e+02]\n",
+      " [7.36518055e+02 1.02793380e+02 6.46164039e+01 8.31395369e+01]\n",
+      " [3.22130919e+01 2.76024502e+01 1.92595028e+02 1.03917647e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [5.30723514e+02 4.76919479e+02 7.73198769e+02 3.28278729e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [1.76818616e+02 3.20987791e+01 7.20284677e+01 6.73593242e+02]\n",
+      " [8.73768121e+00 2.11950670e+02 1.62869608e+01 1.46209894e+01]\n",
+      " [9.24711706e+01 2.25172372e+02 7.04582676e+02 1.80755358e+02]\n",
+      " [5.44468536e+02 7.76519945e+02 6.21140657e+02 5.90084788e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.64874105e+02 1.59774648e+01 5.26354079e+00 6.40311472e-01]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.22692618e+01 5.49132842e+02 4.78227647e+01 1.31440463e+02]\n",
+      " [1.25192634e+02 6.00731827e+02 1.30246258e+02 1.44680340e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]]\n",
+      "Q-table 2:\n",
+      "[[ 7.33660224e+02  6.19191370e+02  6.04691746e+02  6.60760496e+02]\n",
+      " [ 7.36987756e+02  9.11132425e+01  9.04488423e+01  3.08238092e+02]\n",
+      " [ 8.75229942e+01  3.13328786e+01  1.26043130e+02  5.29991585e+01]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 3.93333104e+02  5.05095093e+02  7.89912336e+02  3.68458611e+02]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 1.59073906e+02  5.12657024e+01  8.69941951e+01  7.20752443e+02]\n",
+      " [ 7.12438917e+00  1.22648876e+02  3.50385031e+01  4.62811225e+01]\n",
+      " [ 1.93216042e+02  1.36085949e+02  7.22018487e+02  3.55671032e+01]\n",
+      " [ 4.83736729e+02  7.90254643e+02  6.24418213e+02  6.09237074e+02]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 1.68974501e+02  7.54053422e-01  1.08419324e+01  0.00000000e+00]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [-8.56875000e-01  6.78475606e+02  3.06172018e+01  5.73983822e+01]\n",
+      " [ 1.84024965e+01  6.24275078e+02  6.63870327e+01  5.32482697e+01]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]]\n",
+      "Average Penalties in Last 100 Episodes: 0.08\n",
+      "Episode: 800, Average Steps: 10.0\n",
+      "Episode: 900\n",
+      "Q-table 1:\n",
+      "[[7.47996841e+02 6.33772661e+02 6.29236665e+02 6.97123934e+02]\n",
+      " [7.36518055e+02 1.02793380e+02 6.46164039e+01 8.31395369e+01]\n",
+      " [3.22130919e+01 2.76024502e+01 1.92595028e+02 1.03917647e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [5.30723514e+02 4.76919479e+02 7.97085998e+02 3.28278729e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [1.76818616e+02 3.20987791e+01 7.20284677e+01 7.05372533e+02]\n",
+      " [8.73768121e+00 2.11950670e+02 1.62869608e+01 1.46209894e+01]\n",
+      " [9.24711706e+01 2.25172372e+02 7.04582676e+02 1.80755358e+02]\n",
+      " [5.60981029e+02 7.97724889e+02 6.39423367e+02 6.02959704e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.64874105e+02 1.59774648e+01 5.26354079e+00 6.40311472e-01]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.22692618e+01 5.49132842e+02 4.78227647e+01 1.31440463e+02]\n",
+      " [1.25192634e+02 6.00731827e+02 1.30246258e+02 1.44680340e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]]\n",
+      "Q-table 2:\n",
+      "[[ 7.54350840e+02  6.40142837e+02  6.09225021e+02  6.72957955e+02]\n",
+      " [ 7.52707471e+02  9.11132425e+01  9.04488423e+01  3.08238092e+02]\n",
+      " [ 8.75229942e+01  3.13328786e+01  1.26043130e+02  5.29991585e+01]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 3.93333104e+02  5.05095093e+02  7.89580739e+02  3.68458611e+02]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 1.59073906e+02  5.12657024e+01  8.69941951e+01  7.20752443e+02]\n",
+      " [ 7.12438917e+00  1.22648876e+02  3.50385031e+01  4.62811225e+01]\n",
+      " [ 1.93216042e+02  1.36085949e+02  7.27612332e+02  3.55671032e+01]\n",
+      " [ 4.83736729e+02  7.89221569e+02  6.24418213e+02  6.09237074e+02]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 1.68974501e+02  7.54053422e-01  1.08419324e+01  0.00000000e+00]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [-8.56875000e-01  6.78475606e+02  3.06172018e+01  5.73983822e+01]\n",
+      " [ 1.84024965e+01  6.31392969e+02  6.63870327e+01  5.32482697e+01]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]]\n",
+      "Average Penalties in Last 100 Episodes: 0.03\n",
+      "Episode: 900, Average Steps: 10.0\n",
+      "Episode: 1000\n",
+      "Q-table 1:\n",
+      "[[7.57388194e+02 6.45217576e+02 6.44586651e+02 6.97123934e+02]\n",
+      " [7.45513679e+02 1.02793380e+02 6.46164039e+01 8.31395369e+01]\n",
+      " [3.22130919e+01 2.76024502e+01 1.92595028e+02 1.03917647e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [5.56299744e+02 4.76919479e+02 7.96185418e+02 3.28278729e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [1.76818616e+02 3.20987791e+01 7.20284677e+01 7.05372533e+02]\n",
+      " [8.73768121e+00 2.11950670e+02 1.62869608e+01 1.46209894e+01]\n",
+      " [9.24711706e+01 2.25172372e+02 7.04582676e+02 1.80755358e+02]\n",
+      " [5.60981029e+02 7.95238533e+02 6.39423367e+02 6.15517290e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.64874105e+02 1.59774648e+01 5.26354079e+00 6.40311472e-01]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.22692618e+01 5.49132842e+02 4.78227647e+01 1.31440463e+02]\n",
+      " [1.25192634e+02 6.00731827e+02 1.30246258e+02 1.44680340e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]]\n",
+      "Q-table 2:\n",
+      "[[ 7.53910317e+02  6.40142837e+02  6.09225021e+02  6.72957955e+02]\n",
+      " [ 7.59547268e+02  9.11132425e+01  9.04488423e+01  3.08238092e+02]\n",
+      " [ 8.75229942e+01  3.13328786e+01  1.26043130e+02  5.29991585e+01]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 3.93333104e+02  5.05095093e+02  8.00819283e+02  3.68458611e+02]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 1.59073906e+02  5.12657024e+01  8.69941951e+01  7.20752443e+02]\n",
+      " [ 7.12438917e+00  1.22648876e+02  3.50385031e+01  4.62811225e+01]\n",
+      " [ 1.93216042e+02  1.36085949e+02  7.38330811e+02  3.55671032e+01]\n",
+      " [ 4.90927650e+02  8.00514780e+02  6.24418213e+02  6.09237074e+02]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 1.68974501e+02  7.54053422e-01  1.08419324e+01  0.00000000e+00]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [-8.56875000e-01  6.88603367e+02  3.06172018e+01  5.73983822e+01]\n",
+      " [ 1.84024965e+01  6.31392969e+02  6.63870327e+01  5.32482697e+01]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]]\n",
+      "Average Penalties in Last 100 Episodes: 0.0\n",
+      "Episode: 1000, Average Steps: 10.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "env = SquirrelPet()\n",
+    "epsilon = 1.0  \n",
+    "epsilon_min = 0.01  \n",
+    "gamma = 0.95 \n",
+    "alpha = 0.15 \n",
+    "decay_rate = 0.995  \n",
+    "total_episodes = 1000\n",
+    "max_timestamp = 10\n",
+    "\n",
+    "qt1 = np.zeros((env.obs_space.n, env.action_space.n))  # Q-table 1 initialization\n",
+    "qt2 = np.zeros((env.obs_space.n, env.action_space.n))  # Q-table 2 initialization\n",
+    "\n",
+    "rewards_epi = []\n",
+    "epsilon_values = []\n",
+    "steps_per_episode = []\n",
+    "penalties_per_episode = []\n",
+    "\n",
+    "final_state = None\n",
+    "\n",
+    "for episode in range(total_episodes):\n",
+    "    state, _ = env.reset()\n",
+    "    state_index = env.obs_space_to_index(state)\n",
+    "    total_rewards = 0\n",
+    "    total_steps = 0\n",
+    "\n",
+    "    while True:\n",
+    "        total_steps += 1\n",
+    "        action = env.action_space.sample() if np.random.uniform(0, 1) < epsilon else np.argmax((qt1[state_index] + qt2[state_index]) / 2)\n",
+    "        next_state, reward, terminated, truncated, _ = env.step(action)\n",
+    "        next_strt_idx = env.obs_space_to_index(next_state)\n",
+    "        if np.random.uniform(0, 1) < 0.5:\n",
+    "            qt1[state_index, action] += alpha * (reward + gamma * qt2[next_strt_idx, np.argmax(qt1[next_strt_idx])] - qt1[state_index, action])\n",
+    "        else:\n",
+    "            qt2[state_index, action] += alpha * (reward + gamma * qt1[next_strt_idx, np.argmax(qt2[next_strt_idx])] - qt2[state_index, action])\n",
+    "        state_index = next_strt_idx\n",
+    "        total_rewards += reward\n",
+    "        if terminated or truncated or total_steps >= max_timestamp:\n",
+    "            break\n",
+    "\n",
+    "    penalties_per_episode.append(env.get_penalty_count())\n",
+    "    if (episode + 1) % 100 == 0:\n",
+    "        print(f\"Episode: {episode + 1}\")\n",
+    "        print(\"Q-table 1:\")\n",
+    "        print(qt1)\n",
+    "        print(\"Q-table 2:\")\n",
+    "        print(qt2)\n",
+    "        avg_penalty = np.mean(penalties_per_episode[-100:])\n",
+    "        print(f\"Average Penalties in Last 100 Episodes: {avg_penalty}\")\n",
+    "\n",
+    "    epsilon = max(epsilon_min, epsilon * decay_rate)\n",
+    "    epsilon_values.append(epsilon)\n",
+    "    rewards_epi.append(total_rewards)\n",
+    "    steps_per_episode.append(total_steps)\n",
+    "\n",
+    "    if (episode + 1) % 100 == 0:\n",
+    "        average_steps = np.mean(steps_per_episode[-100:])\n",
+    "        print(f\"Episode: {episode + 1}, Average Steps: {average_steps}\")\n",
+    "\n",
+    "    if episode == total_episodes - 1:\n",
+    "        final_state = env.state"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# import pickle\n",
+    "\n",
+    "# # Assuming the above loop has been executed and qt1, qt2, rewards_epi, epsilon_values, steps_per_episode, and penalties_per_episode are populated\n",
+    "\n",
+    "# # Creating a dictionary to hold everything\n",
+    "# data_to_save = {\n",
+    "#     \"qt1\": qt1,\n",
+    "#     \"qt2\": qt2,\n",
+    "#     \"rewards_epi\": rewards_epi,\n",
+    "#     \"epsilon_values\": epsilon_values,\n",
+    "#     \"steps_per_episode\": steps_per_episode,\n",
+    "#     \"penalties_per_episode\": penalties_per_episode,\n",
+    "#     \"final_state\": final_state\n",
+    "# }\n",
+    "\n",
+    "# # Saving to a pickle file\n",
+    "# with open('q_tables_and_stats.pkl', 'wb') as f:\n",
+    "#     pickle.dump(data_to_save, f)\n",
+    "\n",
+    "# print(\"Data saved to q_tables_and_stats.pkl\")\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Trained Q-table 1:\n",
+      "[[7.57388194e+02 6.45217576e+02 6.44586651e+02 6.97123934e+02]\n",
+      " [7.45513679e+02 1.02793380e+02 6.46164039e+01 8.31395369e+01]\n",
+      " [3.22130919e+01 2.76024502e+01 1.92595028e+02 1.03917647e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [5.56299744e+02 4.76919479e+02 7.96185418e+02 3.28278729e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [1.76818616e+02 3.20987791e+01 7.20284677e+01 7.05372533e+02]\n",
+      " [8.73768121e+00 2.11950670e+02 1.62869608e+01 1.46209894e+01]\n",
+      " [9.24711706e+01 2.25172372e+02 7.04582676e+02 1.80755358e+02]\n",
+      " [5.60981029e+02 7.95238533e+02 6.39423367e+02 6.15517290e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.64874105e+02 1.59774648e+01 5.26354079e+00 6.40311472e-01]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]\n",
+      " [2.22692618e+01 5.49132842e+02 4.78227647e+01 1.31440463e+02]\n",
+      " [1.25192634e+02 6.00731827e+02 1.30246258e+02 1.44680340e+02]\n",
+      " [0.00000000e+00 0.00000000e+00 0.00000000e+00 0.00000000e+00]]\n",
+      "Trained Q-table 2:\n",
+      "[[ 7.53910317e+02  6.40142837e+02  6.09225021e+02  6.72957955e+02]\n",
+      " [ 7.59547268e+02  9.11132425e+01  9.04488423e+01  3.08238092e+02]\n",
+      " [ 8.75229942e+01  3.13328786e+01  1.26043130e+02  5.29991585e+01]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 3.93333104e+02  5.05095093e+02  8.00819283e+02  3.68458611e+02]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 1.59073906e+02  5.12657024e+01  8.69941951e+01  7.20752443e+02]\n",
+      " [ 7.12438917e+00  1.22648876e+02  3.50385031e+01  4.62811225e+01]\n",
+      " [ 1.93216042e+02  1.36085949e+02  7.38330811e+02  3.55671032e+01]\n",
+      " [ 4.90927650e+02  8.00514780e+02  6.24418213e+02  6.09237074e+02]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [ 1.68974501e+02  7.54053422e-01  1.08419324e+01  0.00000000e+00]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]\n",
+      " [-8.56875000e-01  6.88603367e+02  3.06172018e+01  5.73983822e+01]\n",
+      " [ 1.84024965e+01  6.31392969e+02  6.63870327e+01  5.32482697e+01]\n",
+      " [ 0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(\"Trained Q-table 1:\")\n",
+    "print(qt1)\n",
+    "print(\"Trained Q-table 2:\")\n",
+    "print(qt2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1000x500 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.figure(figsize=(10, 5))\n",
+    "plt.plot(rewards_epi, color='Teal', linestyle='-', linewidth=2, alpha=0.7, label='Total Reward')\n",
+    "plt.title('Total Reward per Episode')\n",
+    "plt.xlabel('Episode')\n",
+    "plt.ylabel('Total Reward')\n",
+    "plt.grid(True, which='both', linestyle='--', linewidth=0.5, color='lightgray')\n",
+    "plt.legend(loc='upper left')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1000x500 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "\n",
+    "plt.figure(figsize=(10, 5))\n",
+    "plt.plot(epsilon_values, color='Teal', label='Decay')\n",
+    "plt.title('Epsilon Decay')\n",
+    "plt.xlabel('Episode')\n",
+    "plt.ylabel('Epsilon Value')\n",
+    "plt.fill_between(range(len(epsilon_values)), epsilon_values, color=\"lightblue\", alpha=0.5)\n",
+    "plt.grid(True)\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1000x500 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "greedy_rewards = []\n",
+    "for _ in range(10):\n",
+    "    state, _ = env.reset()\n",
+    "    state_index = env.obs_space_to_index(state)\n",
+    "    total_greedy_rewards = 0\n",
+    "    while True:\n",
+    "        action = np.argmax((qt1[state_index] + qt2[state_index]) / 2)\n",
+    "        next_state, reward, terminated, truncated, _ = env.step(action)\n",
+    "        state_index = env.obs_space_to_index(next_state)\n",
+    "        total_greedy_rewards += reward\n",
+    "\n",
+    "        if terminated or truncated:\n",
+    "            break\n",
+    "\n",
+    "    greedy_rewards.append(total_greedy_rewards)\n",
+    "\n",
+    "\n",
+    "plt.figure(figsize=(10, 5))\n",
+    "plt.plot(greedy_rewards, color='Teal', linestyle='-', linewidth=2, alpha=0.7, label='Reward')\n",
+    "plt.title('Total Reward per Episode (Greedy Policy)')\n",
+    "plt.xlabel('Episode')\n",
+    "plt.ylabel('Total Reward')\n",
+    "plt.grid(True, which='both', linestyle='--', linewidth=0.5, color='lightgray')\n",
+    "plt.legend(loc='upper left')\n",
+    "plt.show()"
+   ]
+  }
+ ],
+ "metadata": {
+  "language_info": {
+   "name": "python"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}