{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6b1727a0",
   "metadata": {},
   "source": [
    "## Importing libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fe9aea2d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import netCDF4 as nc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c217b17a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sqrt(4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ede1d056",
   "metadata": {},
   "source": [
    "## Reading the data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c0eadeb5",
   "metadata": {},
   "source": [
    "### *.csv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d357df45",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "         0             1         2         3\n",
      "0        0  10006.133333  0.150879 -0.045410\n",
      "1        1  10007.368000 -0.128906  0.093750\n",
      "2        2  10007.896000 -0.074707  0.024902\n",
      "3        3  10009.269333  0.042480 -0.080566\n",
      "4        4  10013.842667 -0.128906  0.045410\n",
      "...    ...           ...       ...       ...\n",
      "9205  9205  99954.581333  0.159668 -0.089355\n",
      "9206  9206  99955.496000 -0.165527  0.156738\n",
      "9207  9207  99959.146667 -0.005859 -0.183105\n",
      "9208  9208  99962.773333 -0.032227 -0.146484\n",
      "9209  9209  99963.589333 -0.029297  0.104004\n",
      "\n",
      "[9210 rows x 4 columns]\n"
     ]
    }
   ],
   "source": [
    "r0=pd.read_csv('x1010_y1010.csv', header=None,skiprows=1)\n",
    "print(r0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e57ffe32",
   "metadata": {},
   "outputs": [],
   "source": [
    "x0 = r0[1]\n",
    "u0 = r0[2]\n",
    "v0 = r0[3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b6e45516",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0       10006.133333\n",
      "1       10007.368000\n",
      "2       10007.896000\n",
      "3       10009.269333\n",
      "4       10013.842667\n",
      "            ...     \n",
      "9205    99954.581333\n",
      "9206    99955.496000\n",
      "9207    99959.146667\n",
      "9208    99962.773333\n",
      "9209    99963.589333\n",
      "Name: 1, Length: 9210, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(x0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "34723913",
   "metadata": {},
   "source": [
    "### *.dat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "bc537cb5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                  0         1         2\n",
      "0         13.098667 -0.115723 -0.074707\n",
      "1         20.930667 -0.142090  0.082031\n",
      "2         35.461333 -0.090820  0.038086\n",
      "3         43.362667  0.002930 -0.060059\n",
      "4         43.384000  0.030762 -0.024902\n",
      "...             ...       ...       ...\n",
      "10089  99954.581333  0.159668 -0.089355\n",
      "10090  99955.496000 -0.165527  0.156738\n",
      "10091  99959.146667 -0.005859 -0.183105\n",
      "10092  99962.773333 -0.032227 -0.146484\n",
      "10093  99963.589333 -0.029297  0.104004\n",
      "\n",
      "[10094 rows x 3 columns]\n",
      "<class 'pandas.core.frame.DataFrame'>\n"
     ]
    }
   ],
   "source": [
    "r1=pd.read_csv('x1010_y1010.dat',sep='\\t',skiprows=5, header=None)\n",
    "print(r1)\n",
    "print(type(r1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "38ecf377",
   "metadata": {},
   "outputs": [],
   "source": [
    "x1 = r0[1]\n",
    "u1 = r0[2]\n",
    "v1 = r0[3]\n",
    "x1=x1*10"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b4fb433",
   "metadata": {},
   "source": [
    "## Writing data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "e51621f9",
   "metadata": {},
   "outputs": [],
   "source": [
    "r0.to_csv('output1.csv')\n",
    "r0.to_csv('output1.dat',sep='\\t', header=False,float_format='%.10f')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5eaf787",
   "metadata": {},
   "source": [
    "## Plotting the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "043b1833",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'velocity (m/s)')"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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7fqJfPSVEhWJdxmmsPijJt+cWleGBbzfjw+UH7RieA0/N3oE3F+2zexhMI8bUgAghpgohlgnhnHcihMgWQrwuhPjMv8Orv5wqstnPT0BIUID80FpEt7SiCv/3206sPeSfXha9W8U4bRvXozlenNLLL5/nD5rpXJJjujo2w1KM9aYjeR6974KdJ/HYrG21Gpue4R3i1R7ujMTp4nLc+PE6nKoHK8TGgFsXFBFdSURR8uMniOhnIurr/6HVb37amAkAOGVjwPi1q9Lw6lVpaJcQ6X5nQC183HI0z4+jcuT79KO45v3VTtszcouxQpZ/r09oJWquG9Qa947u6JP3vf3zdHy99ohP3kuhtKKqXopq2snnqzOwbG8OPlt92O6hNAqsZGE9KYT4gYjOA3ARgJcBzAAwyK8jq+dc2jvZ1j4XoUEBaJfQBO0Smlg+RjEgWzP9U0ioaGFpa1T+9eNWw33Pf3kJACBj+kS/jMUXfLX2CEorqpESF66u9uysA9lw+DR6toxVx/LhikP2DaaeoiSUDEi1lljC1A4rQXBFr2MigBlCiF8B2Jd6VE8w8vfXJUTAjxsy0f/5hci1uFz3d+1C66ZSbUyT0LrLDh/18hKMe32Zz97vmE6K/qeNmWgRE4bm0Y5ZV3VdB7I/uxCXz1iN537fWbcffI6huPSCAhptfk+dYuUsHyOi9wBcBWAuEYVaPM4tRDSOiPYQ0X4immbw+nVEtFX+WUVEaZrXMohoGxFtJqJ0X4zHEzYd8U81t1WEAD5cfhC5RWXILvDO3yuEcOgeWFsU909xWd1phB3KLcbuE4U+e78Oic4ruvUZZ7BK7oEeGSIZx7oWiDwjd8DclVVTf3RbPZGUX7Y3B0VllT57v3GvL0PqtDnILij1+FilEdjhU8U+Gw9jjhVDcBWAeQDGCSHyADQF8EhtP5iIAgG8A2A8gG4AphJRN91uhwCMlDO/ngPwvu71UUKI3kKI/rUdj6eslcX09DPT+oyyMpjYS0o9/nb9UVzwylJT6XJPUTKYyi30KomLCPbJZ/oao4QEZbUxb8cJJMeGYeW00bh5aGqdjktJwY6NqFn8hwQFuJW0SZ02B6nT5vhtXMfyzuLGj9fh4e82O71WWlGF/dmeT1CUQlRvwjuKgVfcfIx/cVUHkk5EbwAYAWCuEGIfAAghsoQQ833w2QMB7BdCHBRClAP4FsBk7Q5CiFVCCGWqvwZAig8+1ycoabzjejS35fO9Cd4ry/vEKElqRGlB66tMnkW7nOtLzQxFt+Ro9fPrE4v3OOt2KXGPBTtPokoILN2Tg6MeSuJ/fdsgPDjG+4B8+8QmeGhMJ1zaJ1ntWbJ0b47tRZvV8l3eqBfMtJ+2YsyrS5FfYi3NXEEx2MKkqZcrFBmdhKhQp9c8HQfjHldmejCAWQDOB7CUiOYS0QNE1MlHn90SgFbSNlPeZsatAP7QPBcA5hPRBiK6w+wgIrpDNobpOTm+6yLYWy4k/H2r/wLp57+0GLd/buydKzjr+ZehSWgQLu+borZt9YbHZm3DjCXGyrQpcRFO2/55UWfD9q8r959Cvhd/Q12jxHUAIDkmDDmFZXhs1jZ8uNyzAPbQDvF4cIznX53KqmqszziN6LBgPDCmI+79ehOu/WAtACA82P4iTW2864FvN2G9RvZFcfspKtBWsZqWbkSh7EorKnV0qS3fl4O0Z+djf7bv3J3uyC4shUEVhOfvU1DqU1ezL3FVB1IphFgihJgmhBgE6QZeCOB5ItpERO/W8rONrhLDs01Eo+TPf1SzeZgQoi8kF9g9RDTC6FghxPtCiP5CiP4JCQm1HHINJ2T/bG5ROVbsy/XKB7wtMx+XvLUCWzPzDF/POFWC7ceMM6aahAYhUv7yWo0XllVW46eNmbjm/TUAgDVycZwnDaa+XnsE//1zt+FrPVpGO217fNZ2LNx1Eot3nxuKvAlNHGeuo7vU1IF0S45GwVnp/2z2f9GTf7ZCdSP97VNJ1j63qAxDX1yEhQazdj3dnp6HK2euRnrGaQz4z0IEBRCiZUmaIe2bwe4yEG0ywa+bjzv8n0ODA5z28QRv7r3b5QzD7bqWBUqjsLPlddMKevuxfAz8zyJ854O2D2NeXYoLXlnqg1H5HsuOQtl19bEQ4ioA/QB8VcvPzgSgLVFOAeA0nSeiXgA+BDBZCKFWwAkhjsu/syGtlAbWcjwe8asmhff6j9ZalhPRUlRWiW3H8k2Dzp2SmiAtJdb0+Nev7o33bujnpBRrRrHOyCnFkJ7OEM1w9YW/5VPf9AR5+699SJ02B6XymOc/NAJz7x9u6D7zBn1NzU2aWMeQdvEev19Wfk1W11+7szFrUybeW3oAx/NLMe1n4xRnLeVy58mDucXIKSxDZbVAmLzyKDhb4TJO4O+2u0II5OncQlvkyVBJeSUm9GiBK/ulINbDeJfiFg7z0Qpr9YFTOFMiXesCwnLtzH3fbHKKH63cn2upfmmfvNJRJmm1YWTnRLSLt/Ydr2usFBL2J6JZRLRRyYgCsFkIsbKWn70eQEciaktEIQCuATBb99mtAfwM4AYhxF7N9khNcWMkgAsBbK/leDzimgG1l+dQltNmDZ72nixymkkpVAuBmIhgdGsRbfmLpjcUybFSAkBUmGdf8EQD/zJQo4VlpH/lq6wlRW69Qg7Ud0qKwqJdJ3HrZ+mmK7naMFPjrtOq8lpFf24f+m4LlByD3KJy9HtugaXuhhWaxITswjLc/Mk6t8VyN3+yztIYK6uqVUPlCY/+tFWt5wnV1cnsPVmE95YdxKLd2R6n1D4zqTsypk9EU4MWye7Yc1L6TimqyuWV1Zj6wRo8ItcjTX1/Ddo/Nhd5Ja5jiDuO5+O3Lc7u6fu+2YS/f7nB7ThayGn+/VL9IxtUX7Dyn/0KwCcALgdwieanVgghKgHcCynDaxeA74UQO4joLiK6S97tKQDNALyrS9dNArCCiLYAWAdgjhDiz9qOyRP0F/dmg+puIYThdgUlBnDGxcWspCXqCQ8JRK9n5mP4/xYju9A83fHnjZnqLEjvSeglr26SY6xnkmVMn4h1j48xfM0oBVbP5qN5tcr6ai9/hnJT6vXMPLwiCwp6Un9y+FQxXpm/R3XfvTJ/D9L+b77qmlT4Lv2owzGeEhLo/BX7dfMx9fGp4nJVwNEVx3TXwZI97o9RMgXdKUZf9u4qdHriD5f7GBEaVDNRKJMNkGJACmXJl9PF5R53cxRCoLpaeBU/OCJ7ApTvlj4jsFhelblzOU98c4X6uKpa4If0o6iqFuicFIWuLZxdtXqUa9EXWZq/bTmOg7nepSUXlFbgypmr/JbWbMWA5AghZgshDgkhDis/vvhwIcRcIUQnIUR7IcR/5G0zhRAz5ce3CSHi5FRdNV1XztxKk3+6K8fWFdsy8/GuLpD875+ddY6+XHMYl76zElPeNV6skewcLjhbidRpczBrU6blMWi/W7mF5gbo4e+3qDEPMzzxUReXVZq6RhQDUlEtcKa4HP/32w71NWU2d+k7KzGhFl0clRtpZbV0YyjQBEs9abJ19PRZvPXXfmTlSwbjrb/2I/9shTpzNWLbsXz1xnBFP2sJgfoMt5S4cI8y6JQYjNGfRmRsoBSi5LF+eNMAl5+xzUI8p6ra2fVjNKbQ4ABM/2M3Xp5foxJ8wMNU3tGvLEW7x+Y6GXMzftyQiaV7JYOqrMY/WH4QqdPm4I9ttRM7jW8Sgi/XHMYjP27Fl2sOY192kWqkXBEXGYIr+6WonSzt4mBOMdZnnMFGP9WtWTEgTxPRh0Q0lYimKD9+Gc05wiVvr3C/k4aNR/JQUu4844mW01iVvPcPlh1CdbXAuNeX4c/tWejSPApD2jXDBoMWtNqCMqv8sd1Rbl0RVczItR6/6f70PHR9ynixVyoHKssrq/HC3F34ZGWGx2N0h+ImKzEwYlZTa5ftzcHbiyUVW2UmqtzoXfnHhQBaxoVj81NjMbZbkprC6oonf3X0rL5xTR/D9zVDmUlHGqyu3E3Qr5bdrJe+U1tvMzBlxio1CUDhyzXO88jxPZpj5tIDDnprbdzE6Nr9ew4e/HaT+lyJbymn99OVh/DRikN4ce4uw1XJP3/Ygps+ltx1ikFVVu7L9+ViZCfn5JmTboyTUnfzwY391e6jbeMjkVtUZsmwFZVW4ocNmZaMjTuiaqHsoJwPf2XsWTEgtwDoDWAcatxXF/tlNA2ASW+vQOq0ORBCGKa1aunVUlKv7SZ38gsPCcTZiirsPlGIh77bAgBYffAULp+xyunGdvMn1oLSrZqGY3JvKf7w0rw9AGpcGsPaS0HhlKa1k2UpLqtE72fn4/k5NTIbnXSpwsoYtHiTQaSkT288fAY5hY4V+EZGxYgbP16HNQcl947iTrthcBsAju4lPQJSLOLl+Xsw8qUlaPfYXJxxs5rQy/3rExkA4O3F+00NlzJ5OL9TouHrroo2R2uUhPe4qNaf3DsZqc1cX6tbjuaps3wF/ZBXThuNi3s5/5/7tol1+d7VAvhdc56Uy+K7dUdw5FQJnvltJ577fSfeW3YQJwpK8c7i/SirNP5f64VCiWr+t1oq3dTPbHhyLKb0aYm/f7lRLUr0pDhRUW02W20+9/tOywWe53fxPoh+qlj6jhzyYJLoCVbOSJqcBnuTEOIW+edvfhlNA0ARKqwWNTnpgLF7JSw4EG3jI5ESJ93AL+vTUp0JTx3Y2kGio9oLf/C8HSdw9PRZpwwxX9df7MsuQl5JBXI1EvetmhrfkGbdPVQVuqsW0ozf7GZgxLAOktH7+1cbnVxhCyykxepR4kOKS+pbXdplp6SauE6ruHCcLCjFl2tqVHU9Td++XzPTTkupkb8vdZMJFxnq+Qzy4xUZ6uOLXl+GdJMkgP+b1B3f3zXE8vtWVQv884ctTtuf/nU7lhtkKLnLEkyOCcNlfVqq760ke7z5136MeGmxw75rD57GS/P2OP2vQwID8N36IwjTJXCUlFfhNpNaKlfEhAfjYG4xThSUqm5TfTzSVZbbQbluY5tJYsdHHghhnsg/iwwvYxgnZZmjfSf9U/9ixYCsMZAYYTTERgRj4cOOZSjVQmCD5gtrlClVVFYBImmJv+LRUbi0T00dZXyU9QyUIBM5C2XWqZ+ZK9XLy+TgbeZp40C9FUorqhwyhBT0Ta6UtOc+reMQEVKzJL/ziw3o/IT1/AftZ+lXIN6UGyg3vIUmacDaQsJ3lxxAoa5Abfj/FusPcYk27bWiSqC9nDZspAagrc95f5lxAytXYR/931Rmkmn1zx+24oFvNpu/kY4FO0/gxw3O8bqFu7Jxl5yh9McDw9Xt7vzvRKSuZv7ana3qfhmhZHvd+/UmNcb26S0DcP3gNnj0p21O14SZm7GFGzHUi15bpibAnJDjZMc1QpuLd2ej61N/mv5tynzvbEW14ffDE9ZnnPFK1gWAaug3Z+b5pKhRjxUDch6AzbLo4VZZwNB9AnsjIq+kAmNeXYYrZqxStwkBnNfRdeFiSXkVDuZI+f1P/rLdoYpX27DotavTEOjiTtHGxP3QWRY3rJSvvh90s0zlZmZFu0ra33k53vMZqdANcJytm8U/BvxnoYMrZPNRz4J7rirArQbRD704ARN6OkrQGMWZAOmmqMV1jERg45EzWGsx939nVgEuNwnGZ+QW47z/1hinr0x6iWjvCQdzirBElmIxcpWZxc0W7jqpdly0QrKFlshKFToAPPDtZpcqwsfyzqr9ddy5BP/+1Ub18ScrM/DFmsN49KetKCozNjqLTApY3WUW79HM2AfKskWK+xSomXhsNLlulMvkty3HcYuBu/nRcV1Uz4NCYWkFbvp4HebrWkNf3KuF5Z4/ZhzMKVbbNPsSKwZkHICOkGotlPhHrdN4zyV+3piJZ2bXZBSZpYumay4m/b3s8KlijHxpMf7UBLKVANvtn6dj8Z4czN9xUp1haVNrL+uTggAXAQNtOqUWZfalCNrp3SSKmynWoibVPV9LX15FbwioWc1kTJ+Ibpr0Rv3NShFw1M8QL+6VrFZWu+LXzceQeabEwa+v57K+rpRwaliw8yTmbnP8khq5Xoz4dr15U6iiskpMeXcVrpaz3qwUl/7vTykudTCnGKNfXoK3/5KC+zdZrOHQMv2P3Wps7D2D1Fl90Z+euduyMOXdlW5dnFbqjvQGwyjgrt8vp7BMrXua0sfa//LJX7bjZEEZvk+3nsEIwKO6F2Xlpk2I6C7HLXvKccz92UXo//xCXDlzFaqrBVpqjIM26F5cJmVcRoYGYsWjox0+J6ewDEv35uCFubvcjulEfqnHqbmHvEwFdoUrMcUmAKBN3dWn8Sr7NHQ2HcnD7C3HsWDnSbyzeL8lvzfBsUDw+/SjOHyqBE/8UnMR6n2om4/mgYgQHhzoELDr8uQfLjN+lCW2HuWGD0g34Bs+crwpKV+CRF2u+hdrDhv22NidJc3Kfr9vuNNrm46cMRSwc0e1EJYkKx74djO+XnsELV3Mfq0GGu/4wn0hmDfoVyeeuLfmbJNy/ZX0V08L+6qrBeKjQtUECf3KCQA+XOG6j/urC/Zi45E8Qxn1S9KScff57QG4N0RGmBWramMBF762FJ/LxZG+6PR5y7BU09dCPchKUtKclSJWAIiQYy1KJmVxWSVyi8qwPuMMOjzuWKg4tH0z9bEygXrq1x14Zb40eUidNgfP/rZTTevXfx1+35qFgzmON//n5ux0yooDamIvRlip0/IUVyuQX4noFSIaIVd7AwCIqB0R3UpE8yCtThoNt3+ermYyWeH1hfvUx4psiLvmT+WV1ThbUaVmCQFSemyVi7usWSGi9n72mEGdivKWY1511Nl58pftTj02Siuq1C+19ssxqG1TxDcJwWXvrsIHLtxL+mwkhc9XH0ah/OUTQuC3LcdRqXOpPfubNEsNDCAcOWU+q19gEsc4kV+KhTtPGrp1PGXZXueVitKqtrgW0iHvLHZcMXRPdu4vb8ah3GK0e2wuvl57BLlF5SitqMJOA3eVkmbtDdOn9MRlfVoiv6TCqxTyKAurTG3sQ5/x5Q3eppGv1rjf4puEqnEvbc1NdHgwosOCVEOv/V5XC2nCc6Xsnvxl0zG12DdcE+R/66/96uPC0go1hmf2VddK5s/ZmoUDslF5ZvYOXDlzFTYeOYPRryzFhsPGyRKJUb6vSXElpngBgEUA7gSwg4jyiegUgC8BNAdwkxDiR5+PqIFAOh+WkpGlXVks0s0ShRBqPMKouKs2RVHxmtWBMnsy8/uHBTtfFlpNn7GvSQ1/Fu06ic/+NhAf3+y6UE3hEYPMnVGdpThR/+cXYvaW47jvm01OrVo/Xik933m8QA38G/H4rO2YZFCjs+bgKdz2eTq6Pz3PrYSFO/QdCwFJoRhwDNgWlVXi/M7eiXcKIfDa1Wnud5TRTyBcrZAX7DzpoATw2aoM5883OO6WT9Zj7GvLMPLlxXha4861yqHcYp/Uo/iK4wb/RwWtUOZXtw1SYx+DNSuJkvIqFJRW4kRBKUrKKw0VI36QEw0KSitxuRwfDTNwNwcGEJKiw5xk7LMLSnHVzNXq9/HnTccMvQ2frsrA+owzqou6vNLYArWvZRzFCJcxELlS/DohRKoQIkYI0UwIMVQI8R8hxAlXxzZ29P5GZQaudU3oA5dNQoNMg4hC1EhT6LFiWK7qX6PdpWRlKSmxem4ckupUeGRUd3LnFxtw++fpuP+bTU6vGfGDQeZOvEb9VlmlmbnkFu3OxgA32kJbM/Px8rw9DhknWp/+Pi8aHFlFO3Ps8fQ8S3IjRhARQoMCVf+6Oyp07i5XKcG3f56u3syAmptl66YRLrPYFB0wb9xXCpuP5uEf3ztPIvS0sliXtPHJsQ7PM6ZPtDyWF+fuMpwMADU9YcZ0TcTFby1Xm3Yt06yKlDYLd36xAd2emucU29NzVM50DAokXN7XMXGiqlpKvlBk7JXraOALi7Au47TDytHou6aXqjHLJVmx31qczxO4bZcFwkMCLQV6tbjrFGfErqwCl37zLSY55W9qlsJm6KtxXeWwj+mahH9P6OL2PSurBZbvy0WGC7eSO7QrCiU5Qe/u0D5XMmJc8fbi/Q4VwNoZs6+aZ+lJnTYHu0/UvrOjItJ58VvLLUmMANLfq+X6D9e63F8rqhlAhKiwIMy5/zz1PPtTIl6f3m2Eu5uxwqxNjkWfykrQChuP5OGpX7YbvqZMYBbuykZFlbA0niaaa/TGIW2cBEfDgwOx4fBpFJdXqhlnWlYdOIUv10rxn49cSM+syzjtlKXVt3UcujSPwlrZ7b324GnM3ZaF8W841kl52/raFWxALPDYhK5Y8sgoj45xlbdtlJEytH0ztz50M9+oEgx3hb4Smci89mHPiQLVr+9vTmou6jHdkvD2tX1wwxDHyuEHLpA6+bVqGm45jhFtErRNsZCC6i1mdRae8O16SbRv70nrKyV9BpknBv279KMoLK3EtJ+34dnJPfDouC6W0nQ9RVFj1hYAGmWKAdZjNfpML0+v2QsMGp0Bzi48d1lpSdGh6KgJUC/Zk4PrBjlew2crqnD5jNWmE7f4JiFqrY+Sfm9Gjibesj+7CPN3nkRZZbW66hYQuPurjU6xKl8kJuhhA+IB71zbF8M7WusJMUqWuTbiiV+245QumK7Nm9dzdf9WCAwg00Kgwe2aGW7XMndbFn69Z5j6fMIbyw2LwQBg14lC7D5R6JfCI1c0jQzBxb2SHYJ92r7al/VJwYt/GDez0mMUtH372j6IiwzBjOv6Omw/7aMvVpCPpu7eqA7Uljlbs9CjZQz+fn577D5RiPaPzcXSvTkY/8Zy0xRcTzCKPVn9X/qLx2Ztw2uykvOHyw/iOzlFW+8CapfgOntJCMcEiiOnS/Dawr2G+yoNyQBgQGqcalAn965JW/7ZYIWiRZvR9u4SafV5LO+sGl81S+uvqvZ9My0r/UBeJqLuPv/kc4hX5u/B4BcWYULP5pbrBdzhiXLswLZNERhAaG6i7Gkmi3CBppveot3ZDpkiZvLQq/bnqjO5ur6PbT+Wj9Rpc/DlmsNqC8+yimpVXmT1Ae/OvZI98826I4azSasuE3c85UVw2QhfNfjylJ82ZCJ12hxVujyvpBwZucU+EQT09HtzsVw35G8+X50BAHh+zi7VoE0b5+i+dVcYmu3B9aPI3HdIbIIf7hqKO7+QYinaScPD329xqBfT84TsqosOC1ID/BEhgegvxwfTWhnHzjzt+2MFKyuQ3QDeJ6K1cq8O6/mFDYS3/tqPEwWluOq91T57zz7PLbC87z9+2IKS8kpTt4wZ+ircWz9zrwl0rcZ/rlzUVtu31halbuaJX7arLTwrNLOm43nW5L2l9yrA/B0ncLa8CnGR0nlT+rBrq5kBzxpF3T68relrvjJEvZ6Z71cZ8EtlYUt9zcB7yySX0jfrJIO9K6sQASRll03yUUMwQIoXubumXIk/+pKLukuKBGmtYtXunzG6wtpfXAhsAlJ2k1W1W+X7tT+7CFfMWKW6uj9ZmYHV/64pLNzrQrtKaWFQUFqpdjPNK6lw6JLar02c03F6gVNf4NaACCE+FEIMA3AjgFQAW4noa7lPeaNifYZ/NPWtcCi32OVFped2DwXkdmUVYLIuzfLit6SU2AIfiy+aoU99Bhy1r8yyZoyY/M5K3PHFBvy1O9uhr7lRhpInvvOfNrq+mfgKfxmQ9Y+PweuypLy+OE0fdxEQKC6vwh/bT+DpS3wrh3fxWyvw3KU9TF/3Z7acFiUjccvRPFX7Sr/i0oqEGhEYQF6lh2uVK6YObI0dx2piFpUWxa9+0DQ8+2addB1f+8Faw26O3iT2uMNSDISIAgF0kX9yAWwB8DARfevzETGGfL32CLZkWl8JuFOmDQ0KcJAeWbInx0kKWykmPOCiutWXaPW+lFoVd7Lb7rjn640OgXoj16EnhXG+ipe4wx+BbEBSJNiWmY8/t59wq1Kr1LUcyzuLBzVFbL6gV0oM8mtZk+MLtPpQinvTLF3ejL0ni7xWy1VIiAp1+H/oi2nNMPt2GH3/YyM8bxHsDre5qUT0KiTtq78AvCCEUPQw/ktE1suymVrRzIP+0FYaHZVVVjsUDEaHG18KT/yyDa3c9DXxFdoUW2Vm6Eq80CraqmZPYk928rtJ5X5teX7OLoQFByDJQqtVrRHzVexPYViHeCwwkFupa4w6OpoJJLpCryTgKfr4ntXrfmSnBMsaVzuzCgxdW7XBygpkO6SeIHdqjIfCwNp8OBGNk1V+9xPRNIPXiYjelF/fSkR9rR7b0CgodZ2+qq0+LrXYX2OjRvHX7Mb65ZojHrmOaoORSJ9Z4oAnaL+M/hCUO9corajGNQNaO2wzclEp7X0v8WH8QyEjt9hpxWsHVw2oKepT1HFP27Ay0rvHtQW2rvjUQEnAjCw/fI+tGJDrhBAOTkEiWgQAQgivo6uyW+wdAOMBdAMw1aDvyHhISsAdAdwBYIYHxzYo3F0o2urtACI8clFnj97fVQpqWS00lDxhSLtm+OSWAYhvEqIKI2r7qvsCJVDc2BE658dhXe3IzOv7qcb7Nz/IgOvbK9vFl2uOoMuTfwCoaRhVVUu3aW3Z/dw43HqeebKGt1gp4vQUV2q8YUTUFEA8EcURUVP5JxWAL6YkAwHsF0IcFEKUA/gWwGTdPpMBfC4k1gCIJaIWFo9tVGjTU8OCA1HmYSqoWQdBAFjpZfqsJ1zZLwUxEcEY1TkRiVFhav+Dlfut96mwQllFNd6+1rkveWNj/g5HH7l2gjLr7qG468sNWOdhLOBcRV+4GGqgBVeXfLvuCN5Z7F5dwlPIq5ZrrnF1pu4EsAFS4Hyj/HgDgF8hzf5rS0sA2v6hmfI2K/tYObbBYEUmXatvVFpRhTUefvk7JDYx7B0NOLfy9Ac/bMjEwZwipE6bg51ZBVi4Kxu7sgqcCi5ry86sApSU2VNnUZ/o2sJcveAXWSKkiYfyPQ2BorJKvHmNvROMZ37biVcWGBci1obaNqUywpUa7xtCiLYA/imEaKv5SRNCvO2DzzYyh/q1o9k+Vo6V3oDoDiJKJ6L0nJzaS0Tbgaf1BTuzCjyePZZXVuMLH1Qc1wZ96ual76yslUQ6ILVWba4LGP/rp8bdUPOGwW1cKvZ+JvfkeMeCxlpDY/TLSxqs4XQ1afAWVy4sparlGBFN0f/44LMzAbTSPE8BoHe2mu1j5VgAgBDifSFEfyFE/4QE7+S1zzVcCSWa4Ureuq74SSet4gttKSLrnQobC1cPaGXYNErPHg/qjhoK2YVlmFOLtgn1mdiIuq1EHyn/vsTg52IffPZ6AB2JqC0RhQC4BsBs3T6zAdwoZ2MNBpAvhMiyeGyjQqsW7E3jJH0DKQVve1p4w3xd7nqbZhFqPYi3zFhyAEkGvVAaMzOWHPC41sEuBllQX/YlIUEBDg2l7KKzH6rGEyxmdnmC6VpNCPG0/PsWn3+q9L6VRHQvgHkAAgF8LITYQUR3ya/PBDAXwAQA+wGUALjF1bH+GOe5wvTLe0EIgWrhnZaS/uat4CuBQG9oEhqEZyZ1xy0GvUis8uvm42p6JlBTX9KYOZdm2HVt6FLiwrHVg4Jdf+GP1d+ek4UY6mMjYqWQ8AUA/xNC5MnP4wD8QwjxRG0/XAgxF5KR0G6bqXksANxj9djGzA/pR7F8Xy4W7jqJB8d09Ph4M8nqugigmxEREohRnRPd78j4nJCgAI/7sjcEsjzQW/MnYcEBtWpBbMTeE4UY2t6amrhVrOSrjVeMBwAIIc5AWhUw9YjFe3LwzbojyCkswz4PekkomBV1eaI06ktGdkrAtPFd8H36Ufc7u8EGdfRzDu0qLTw4EPeO6mDjaOzDLiVkLa9cmWa5G6UnnLCpoVQgEanrHiIKB+B7Z1o9Rp/FU1+5eWgqAM+qU92R2qxuZEz0jOmWhH5tmuKNhftq/V7niHqJrWhXml/dPgiv+iGNlLHGP37YYklqpj5gxYB8CWAREd1KRH8DsADAZ/4dVv3ihIWMlfrAM5O648Mb+/v0PdvGu26m4y+e/GU7dhzP94mMilnnOcYYfZEh4x1X9U9xv5MJ/tBC88dEym0MRAjxPyLaCmCMvOk5IcQ83w+F8QVjuiUhISrUZ70pCv0gf2CVL9fUvq3u8n+NOmdmc/WFmSatZhnPyCux77tjRI9k37vFrNbsbwKwFMAS+TFTD+n//AJ8n34UiRYq161ilp1VF/gi5fbomRIWUGRsQf/d8Sa5xR1WG1kBUBur+RIrLW2vArAOwBUArgKwloiu8PlImFqTW1QOgtSNz1d4IiPva8KDA2udRvzK/L1YZaDl9epVabV634ZGXEQwkqIbVWizznl94T6097GcSLgHk6wOib53R1tZgTwOYIAQ4iYhxI2QhAyf9PlImFrxwmU9AQBxESEeK/FGhZp7MissNrapDRN7tsA4ubWolvCQQDw9qbtqxLzR8tlw+IxDL3gFqx3fGgtzHxiOO0e0BwA8dXE3jOG4kV94cUovS/tZXVmc18F6Wu5+P3R5tGJAAoQQ2s4vpywex9Qhz8iy53GRwbhnVAfcObKd5WPbJzZxaOakxV0fktqS1ioWmXlnDW/oYcGBuGFwG6Q/IYXfLuzmbGS8IWP6RFUuvjEztH0z9XFEcBBS4sJxfucEXDWgFV6+0tqNzp942tbX04mTEW9O9a+QotVOg1b1uMzqt4zwR595K4bgTyKaR0Q3E9HNAOagkRXwPe+id7M/eOpiz1ubKEVfMeHSbH2eB/0WjuWdxYXdjGecnZL8m4W15WgethzNc3IzPTahCyb2bOGwzVtvVmBAzWWuuGka+/pj9r3DHGRq3li0Dxd2b45PbxmIJqFBCAmyf46Yle9Z9uNL82rfIHW9nyvfW1hoVbzhiTHo0ty9lEnz6DCP3NWn3PR29wa3V4kQ4hEA7wPoBSANwPtCiEd9PpJ6TPdk36tYuqKJC5eSK0Z3SUR8E8mAZOgaBAHOYmqh8k0iLSXGcMk8pW9LTBvfxauxeIpeYuTyvilqQyOlD/kML7ODmmr+7nev6wfAvHCysVAtgHaaFO0V+x2VqiNCGqYirTt6tPT8u377cGvNn3Y/Nw6x4e4D2X/tzkalSVOrT24eoD7u0TIawuYqWUvTDCHET0KIh4UQDwkhZvl7UPWNPq1920fYHcfzvat9eOXKNMRGmAe9Q3WzyrkPDEfnpCg8fUl3hBkE48Z2TUJIYN2ID2rFIP93eS8M++9fyJLPA8kJ7J5+V+4+X/LpX9G/Ffq2jgUA3Pv1xtoPtgGw+ciZRr8K0zOlT0ukxLkunI2Sr9O+rWNx3+gOeOOa3rjHpGp/QKrjfSMsONDSOX/kx61YfdBY0PGWT2t04RbuykYf+brW0zQyBIPbOQpR+qMOxJWceyERFRj8FBKR79J8zhGu7Od9UZCnHPNSf6pc4181UtE9qZMyaJ/QBPMeGoFWTSMwVdcjG1AueP/cZvTZVZf2kSTXuzSPwm9bj6O0olpVCFZ29SSu8+pVaXhwTCese/wCNAkNwrgeUvxEcYt08+Oq8vK+KaYuwfpCp6Qoh17x+m51jVEHKyE61GmSpadQjgkGBwbgHxd2xuTeLU3lT/aeLEJHP2Q+ackxcUu9fGUvrDno6I7rlRLr88931VAqSggRbfATJYSoW59OPcAfWvpmVHm5LB30wiL18aW9XffA+PSWAQ7Pjboe7j1ZiAV+qgOZfrljkLapnGm1+0QhSuUvpOJWU1YgnqT0Hs87i2H//QvrDp3GzuMFeGHubofXQ4P8t7L6aWOmrfUzZmiv4aEd4lWjCjjPTr2NN904xLirpYIn8b37RrvX4/JlzdPyvbmWrwttSmzz6DDDseafrXBqkuZrcWuzNPvgQOdbe1M76kAAgIjOI6Jb5MfxROT7ju/1nMcndsOUPnXTmGhgau17IJS7yfY4X6dyq11pBAUQBrVtinE9mqPAgywPT0hLqamKjYsIxipND4azTgZE2j53m/XEACGkTo4fLDtoKIdipaFSQ8MoMKvc+Aa3a+aw3Swrzx1jXay8ggMJ1wyU+sBd1N39Cq13q1i3+1gV+7z/AvdFfLtPFCApxppBaqaRRSci/ONC5wywzklRGKXzBLhKTmjV1DjA/s8LOxluT0uJQVml8erHqP95vza+761ipZDwaQCPAvi3vCkEkj5Wo6ODnzOSlDiAJ8VBCv3axCFec1FP7NkCY7pKRuLS3skAXBcFnimuMRSV1QLf3TkEbZpFWnZgXT/Y2QXmio9XHgIAbHvmQmx66kKHqnNFxlo5DyHybCrGQgBSIUC+AW7JzFffu31CpJoSPNSD/Hm78OTvzZg+0eXr7RIiDW+2943uiJ/+PgR3j2rvsJ28dJhHh5mP+Y8HhqvdMq20XI4KC8aWpy/ELcNSLX32jOv6mr4WGx6MPx4Y7vL4qQNbIzHKWuqwq/qokZ0SsOvZcZj30Ah8cstAh9dCDFYGCsv/Ndpw+xkzSRQijDWp16krj4mVFchlACYBKAYAIcRxAL5vl3UOsGyvf3uqd5K7kBktP12x9rEL0Dw6DDHhNYHoyNAgvHdDf/UxIGVpWeGOETWxhjbNrNVLXNbHeozovA7xqljclqP5eOi7zaoabOumEWqufJjsTlD80ud3TsCktGRLn9FDI4fdKyUGTSND8NylPVQjGxMejAcszEqt0lZTV+IrBWNPcvwByYiY1U70SI7BwRxnSZeQoAD0a9PU8o3THR1dTLI6JEbVJERYeK+cwjLEhAejTVNr59NVbeizv+906An+j7GdnALQwYEBqHZTYNqmWQQSokJV5WsjZl7fz2kSqLiIg9x8t/u2jsWYrkmI1Bz/0YpDhvtuOZpn+jeHeSBxUhus3KnK5cZOAgCIqNFWYHnTZ0PBVWXptYOk2XtwYACiw4I8buOZV1KBOduykH/WsegvMIDw6lVpuH14OzxwQUdc2b+VyTs4urD+rUndtSq9YGW2rKQYF5ZVqjOxTUfOYNamY+glu7R6t4rFr/ech7n3D0eLWOmmpoSErFbFf337IIebeFRYMDY+OdapmU5nC7n2eswqtAekxuHVq9LQJDTIkusFcMyKM3MZKavIgS6uCStVy7uyPM97mXX3ULQ2uXkrq1o9AUS42uA6e+Oa3gCAoEDp77x9uOuEiGsHtVbdYUaZhf83qbv6+G/DJI/6PR5k2EWEBjkpFHy6KsOt0b59eDusf3yMS4HOY3mOKfS/3DMMP/99qOn+fVvHqsH2n+8ehg9v6o9Ek/fXZnYlx4ShWRNjr0JYcN3U8Vj5lO+J6D0AsUR0O4CFAD7w77DqJ5NMvjRWGNejOZJ1s8MpfaWYyuzNxwFI//Stz1zk4F+1wqYjZwAY57BP6ZuCpOgwvLFoHzbK+xmh3IQm9mzh4L6IiwhRb+5azu+c4KAnZUVnZ4JcGLjlaB6+u3MwHhzTUZ2RKf2aNx/NQ0xEMLolR6srsTI5I+jD5YfUeMgNg9vg1vOMQ3F/7cpWs4hcZcFM0BUqAsBXtw1yKeOxyeQcfp+eiYe/34Kiskos3JXt1qUEAI9N6Ko+VjKi1j52gbotOJBw3SApKO3KoTSyk+RnT502x7T4bl92EeY/NEJ9Xyv0aR2H4jJpUjL3/uFY+PAIzLiuL165Mg0vXWmuJfbfK3rh0IuOPecmy0kdyifrXTn6a+yFy3qq8YJWOiP2xa0DcZNmBbAv2/MK6+d+34mjp2tiY11bROPNqX0QanDjHd6xZuIRbWGi9NPGYw7Pe7eKdfgb1vz7AnROikJgAKF9QiR+vnsYFjw80uGYyuqayVKLmDC1APaHu4Zi6zMXokfLaKTGR5p+75JjwrHm3xdg/eOSy/Zf42pfpW+ElULClwH8COAnAJ0BPCWEeMsvo6nntHRTRRpAwLAOzXCZHGx3WDJf2AnHdV9uJZBdJH9Jm2sMjCdpw8oX7ZZhxjdUJavpTxfV6coKYpAud7ykvApbM/Mx5/7zHLZ3bRGtHjN1oLSCcjfr+Xz1YfVxh8QoPDimk3ozq6gS6JwUhW4tnI2gYjQEgAfHdMJjE7rggTEdDVOVAeDDFYeQU1SGwAAyNBJa0nQ3rk5JUaazbgAOcSYzlImGN4HopOgwZEyfiKv6p6CiSuCNRVJDrYt7mf8df+5w/L8auVe6tohWXaQVJkVqRrx7XV+8fGUauiVHo0NiFMb3bIHL+6W4NGiAeRW54nJZsd9ReUDbulhZkSvoz+Ogto4B/+X7at7LkwSUVdNqYg5/PDAck9KSnQzbq1elOVR7b8vMc/u+24+57qnePCYM8x4agacu7mb4nT1yqkQ1bud3TsCsu4dh4cMjVWMQHRaM7ccKsOrAKXTXSLSv/vdofH3bIEyf0hMBAYTmMWGICgvC+B7N0SHBP/FbK0H0hwDsEkI8IoT4pxBiQW0/lIiaEtECIton/3aq1COiVkS0mIh2EdEOInpA89ozRHSMiDbLP3XSYtedCys0KBABRLhhSBu8e11f3KMJTGore+8Z1R67nxuHSWnJ6N9G+tP/Nqwtnr6kZllulFtuFoBTMqXMcveVtOAjp6WldaRBkD40OBBTB7YymNFIxwbogqrVQuDWz9IBAIt3S1Jp2vG7QiuPoqTmVlVXo1oIBBj8icpn3z+6A9rGR+KOEe0R3yRUrVA3IreoHPueH29a5KXww11D8eKUnurzgS8sVAP8Rrib7X54Y39V2PLAC64vy9lbjquPrxnQyiFDZ9YmaRa7Wa6YH9nJem/4ZyY5/x88dYuqx7Vrhis8mMwol0mViXNecdvp63BGaiYDh085xmqaR4c5nBvtY/1Ey6gg1oxkgwmhUYxCe50dMIgjKXjazO2moam4frBz2rP273v1qt6yIQg2TLUHpALIVk3D0SImHEM7xOOaga2RV1KO1Glz8NGKQ5hxfT9caCBW6gusuLCiAcwjouVEdA8R+aJCahqARUKIjgAWyc/1VAL4hxCiK4DBAO4hIm0S+WtCiN7yT51oc+lnTXrOVlRh+b5cZBeUYu/JQoe0yaaRIeoN5Wx5tRrkOk9eHt88NNUh8BWpMThKf2rtUlpLiBxsfuBb41YtseHBSIwKxf9N6o7hHePxpEEufnFZJb5Pz8RhnQTKgp2SccjILcblfVPU2eB7Sw+q+9wg5/7rc/LN6ja0/uNQTa3Hvuwiw1Rd5W2EANYePIVr3l+NI6dK1IweI8KDAxEQQG41nU7klzpMDJR4y52aRAKtJpdZ0PLS3sm4vG8KRnQyXhUZoSQ3DEiNQ0RIkMME4M8HR+BljZuowKCxlz5YP+O6vjivQzwe/m4ztjx1ocNrJ32cthxA5CDGqBBooBqgGFSgxsA0CQ3CRM2qKlAzQdFPhJrHhGHv8+Pxyc0D8MNdQ9TtUWFB6jlUuM3ErannEk0yhtHfodBeN3Mf6eL/q7i/aqsuol3JvzB3l1fvoRQ8frOu9k3ZXGHFhfV/QojuAO4BkAxgKREtrOXnTkZNW9zPAFxq8LlZQoiN8uNCALsA1E0hhgk3mBRJXdgtCcv/NQrt4iPRs2UMvlp7BK8v3IcoOaVRCfIFBhBev7q3Q1ri/aM7YuW00WituxkohmXBQyPUgi+zwJoyqzNzmQQFBmDd42NwSVoyvrh1EK4ZaJxyW1UtnC5+JQVWqUpXZpZKfntgAKmzfL17J0AznkX/GKm+rnU5DEiNQ0pcOEbJGWJGbkIlJrN0bw6+WXcEaw6eRvrh07h6gHFSgCRHbm3Gfum7Kw1XHNosrjnb3LcXDQkKwCtXpVkWIRzYtilek2NIwzsmYKVuctI+oQmu6Jeixs1W7M/FZX1aIiw4AB/f3B/f3jHYKSlifM8WOJBThJ83HcOXaw87GLNTmll0tEWlV1cQAWsNUnGF+tv4LqpoPG04fAbvXNtXdfcezJWM+DOXdMMPdxkHnEd1ScQAjYuqsLTSITOyXUIk0lJi8ei4Lg7X0fJ/jcLCh6X4z1e3DQIA5MopzfeO6uDkMnvn2r6qsq8+I9IfciB6tBPJHzdkGu4zvGO8mkW26sAph3hOXeLJlZQN4AQkOXfr62ljkoQQWYBkKIjI5fsRUSqAPgDWajbfS0Q3AkiHtFIxjxD7kbDgABBJgb6//nk+ACmYCUgB6N/uPQ/JsTU3/kt1xYgBAWRy06x5rOR0x8m/n7u0B578Zbv6uuIOuKwWhY5KRsoXaw47fKEem9AVXVtE4/zOCQ4rnHev64euT/3p8B5ZOg2vHsnR2HgkD4CUnpv+xBj13Ch0SIzCikclX/TWZy5EsIEPKzCA8I+xnTC2e5LDyseoVqFtfCT+ZnEWCsDJDdYsMgQCwH3fGK/mxnZLMqzO90QVVQmwK+nKVdUC3985BJl5zgKY/72iF274aB2W78vBV7cNxmtX98aI/y1GbESwS7VaRZk2Y/pE5JWUq2ml3ZOj0dwHLX6FMHZTVVUL6JPCHpu1zekmrYz9tat747Wre+NT2Yh7nH4qxx1LK6rxk5zp9Pfz22NAahyumLkagGMQfo2sMaVcOv80kICf2KsFqqoFbhveFsEBAQgJClBXRYt2ZePGIamGQ0mVU94vSXMdd3OHq1oRhapqoaYcz75vGPJtap9rJQbydyJaAsnVFA/gdiGE22YBRLSQiLYb/Ez2ZIBE1ARSAP9BIYTyLZ0BoD2A3gCyALzi4vg7iCidiNJzcmpXx7Fol/ONo7SiGqv2GwufhQQFoGdKjMdZVUBNvOJUcTlS4iKQMX2imtaYEudocBQZEFdCit4SHhKIawe1BhFhsWwgAeNMHv0NTeu3V+IYfVvHmrriosOCTYso77ugI7o0j1ZXKmZaVjcY+JQ9YcOTY3F5X3NDbFaZ/80dgw23j+maaKrmrPRAmbn0AGIigh0CogpBskHVxtCOnC7B1sx8jO9hza8dGxGiSnT8bVhbTOlbe123agM/zQVdEtXVsN61pBAZGoSZ1/fD53+TCuxyi8qw+0QBmsdI17R25eeOhQ+PwKy7hxlWXRupUQPAW3/tBwC3WmWBASTFNAPIwaXmKs03JS4c+/4zHlf0M0+Xt0JAAKkp72bX86oDp7AlUwrWJ0aFoWOSPaV5VlYgbSDdvDd78sZCiDFmrxHRSSJqIa8+WkBa3RjtFwzJeHwlhPhZ894nNft8AOB3F+N4H5IcPfr3718r76RRIdantwxwEin77d7zsOdk7Zq3tJVnM+4qSv82rK16ge854V+Ny2ZNpAKqoe2bqbN/rbzLNk32yczr+6JDYhO8tnAvgJr0zZyiMifpdk+YlJaMMV0TDeXGWzUN92j1AQC/33cedmUV4JEft1rav0fLGKw9dBox4cEONxOzCuxuLaKRqOnb8N4N/Zz2cdX7fVDbpnh4bCdcN8jZ7ajEnNwJAGr5au1hROriD77iI43UeHyTUEwd2NrQB6/V4Br/xnLkFJbh7Ws9b+TUITFK/lzn4PX4Hs3xzx+2mB4b6sFKZ0i7Zqo67hQXkwsispwi7Y4f7xqK+KhQ09YO6x8fY0nK3d9q71ZiINM8NR4WmA3gJvnxTQB+1e9A0h3qI0gZYK/qXtNe/ZcB2I46wOjiSY4NV1cACj1TYjzKXLGKsirZq+ks9vHKQwgKJFw/uDUeGmusmWMF5Ybc2Y1cyzOTuuPC7s0RQFLF7Z0jNRIYmov1ri83Yt6Ok3jy4m6ICAlU4yFHT59VVXZrO1bAMb21RbT7Zj16erSMcVlgqUfp6qY1Hq7Sfg/kFDvIdgzTSKgoMSuzehZAmo3ef0FHw1WsYpR+NIkZGLHxSJ5DDMpbggID8OKUnvhRDmrrA9FV1cJSj/UcORaxU/5bjOIq7ggNCnQSQYwMDXIpvulJdz7tdznMjyKcWlLjI132BUqICjWNiQLSaujgCxOw/F+j/DE8Fbvajk0HMJaI9gEYKz8HESUTkZJRNQzADQBGG6Tr/o+IthHRVgCjADxUF4NW0ui09R0JXrinrKD42bV9jM/I/vqcwjJ1iavw/KU90aW59yLJysXaz2IePRFhXI/mDmm/+snOodxinCoqc6ggf/nKNLzlw7ahiiRKs8gQr2axCv8e30WtK3GlA2WUKq13KbrC6Kbm7SwxT/Z7a+VDZlzfzyetXa0wdWBrdE+OQWxEsFMc7+jpEry+cJ/b91BaC18zoDUmpSWbVrh7ww1D2qj9OxT+J6tAe6IVpY1vbT2W55Ox+RsiQkAAOSSy+ANb2o4JIU4BuMBg+3EAE+THK2BSgCuEuMGvAzRhV1ah/Nv/7VCGtG+Gnzcdc0gjvGZgaxzKLcb9YzqiU1IU/vWT5HY5VVSOFjGez761hIcE4rbz2qKrF/IeCud1iFfrFwDg963H0btVrEPhmj9WZoAUK3I1I3PHnSPbq6upNJ1LMiosSE2L3H7cuUhMqySsx1UGl2I4Fu7Oxn0e6HIFkJQK/f6N/XAot9gh8Ny7VSx6t4pFesZp09x/ozogb1ESKSboXGJGMRIjvrljMNYcPIXWzSL83o8cgJq5ZEU5QWHqwFaYJxdreqL5Zieni8vR97kFuGdUezxykf+6ijbOvpVeMrBtU4cbJCDVfvijX+GV/VthbLckh8B4WHAg/m+y1J+9TDOrNwtYekKT0CA84UUvdi2Roc43Jn1TG3/ynzk78fjE2v0NgCQJ8/DYTnh1gRS/Gd0lEZuO5OHI6RKEBAWgpLwKqc0i1ECtmdy2EWUVNTVAIUEBmDa+i+WUY4VXrkpDeHAgosKCTZsE6VVgFXY9O84vqah/bjvhUE2uTdDS1oHoSYoOU2VOfM0nKzOctiltDkwVbg3omBSFlZqq9XOBInnCM3vLcb8aELtcWOckUwe2Rsb0iVjnoFfkv1PoKqvqlfl70D4hEu/d0M9BCdZOhrRzzq4yEtbzF570C3FFm2aRDv0jThaU4oScYdamWSTm3j8cd2sq3O8dbX31oNU4AoC7RrZXg8FWuaxPCsb18C4IHh4S6Bel1rm6lZb+76wvKAWVRhmVjOewAfGCxOgwj3o1+IO8kgocyCnGRX6SKPCGmIhgdGkepcYE+raOw/TLe2L/f8bbPLLasebgaXXmOiktGd2So1UJjWEdzKuYAd93oKtvKNXyhWWOStCVGrflY7O21emYFNoZKEkrnjW9NE9DIzE6FLERwXh8Qu1X5K5gA+IlShZO/llzPabGyO4ThWpvDyXd110PBF+Q2iwCz062psVVG5T4ARHhy1sH4d5RrlcfY7omOUja1MW5qEuUmJY+Lbh5TBh6elDT4Q+GtY93ypBUVusT3YhsnuuEBQdi81MXOqRM+wOOgdQSf+dZm/HSFb2cvhz1gZ/+PhRCCJRXVjvJcPuDj2/uj+DAAAzvaF2DyhO0AfSdz17k4LI8z6QgUkvXFtFo1iRETV32VZ1AfcJIuj6+SSh+u+88J+WBuuR0cbmp4Ka3LXsZR9iA1BJvW3/WFk9qF+qSfm38kVJgzuguvtD2NKZlbDgGt2uGnzZKekRGxYvu2J9dVOui0nOZF6f0dCtv7i8W7XaOc+TJnoMDOd43h2NqYAPiJYo+Tn1cBTQmbvx4HSKCAzHToMK7tuQUliH/bDmGtGtmKk/ujqpq4XCsN0boXGaqiXBnXXDNgNb4eaOjGGHvlFg8cEFHy33WGdc0rquZaXD4s099eVU1dp8oRFqrWFR50IRJi77ZE2MvAQFUK8UGxhE2IF6iVCQHNUCfNiOR/sQYhAcH+qTOhql7Pl2VYfcQGjwNKyWkDvn7+VLVspmIHnPuE98klI0Hw7iADYiXWJVqYBo3ihbTnSPbeaSay9SeLrWQ5WGswVe0l2gbGzGMGcM7xqOjB7pLjO/onxqHZpzk4ld4fc6c03x9+yBLHdzs4sJuzdG3dRmen+Ndb2vGe7LySh1a+TK+hw2IlyREhaq9DBj7GNrefTGfnSgtjNmA1D3rvOgtwnhG/Z261XOm9GmJsGA+fXZz8VvLMfX9NXYPg6mHTOnb0qO+H4zn8AqEOafZfsz/vVl8wX8v74n0jDN2D4NhfAobEC/ZmpmP0or6KVnN1D+uHtAaVw+wryq7MfLZ6sN2D6HBwz4YL+mfGtfgpboZhmFcYYsBIaKmRLSAiPbJvw0V+IgoQ+59vpmI0j093p+UlFfBS3kkhmHqgF4p9srJNwbsWoFMA7BICNERwCL5uRmjhBC9hRD9vTzeL3y04lBdfyTDMB7QKyWG60D8jF0xkMkAzpcffwZgCYBH6/B4poEw6+6hfm0rzJy7HD5VwnUgfsaub16SECILAOTfiSb7CQDziWgDEd3hxfF+o3UdNEti3NOndRx62Nz5jqmf7Dx+bmToncv4zYAQ0UIi2m7wM9mDtxkmhOgLYDyAe4hohBfjuIOI0okoPSfHd9LfE3u1qNcV0I2FIS8uwoQ3lts9DKYeMrFXC8RxHYhf8ZsLSwgxxuw1IjpJRC2EEFlE1AJAtsl7HJd/ZxPRLAADASwDYOl4+dj3AbwPAP379+ewdwMjK78UWfmldg+DqYdUVAm17QLjH+yaQs8GcJP8+CYAv+p3IKJIIopSHgO4EMB2q8f7m62ZeSiv4ouTYeor36w7guLyKruH0aCxy4BMBzCWiPYBGCs/BxElE9FceZ8kACuIaAuAdQDmCCH+dHV8XdK3NdeBMAzTuLElC0sIcQrABQbbjwOYID8+CCDNk+PrkrySCq4DYZh6TL82cdhwmOVj/AlHgb3kizUsk8Aw9ZkuzaMQ34TrQPwJa2Ex5zR/PjgcQexLZAzYe7IQuUVcB+JPeAXiJZ2SuMtcfaBL82h0SOTWpYwzh0+V2D2EBg8bEC8Z2y2JZ771gE5P/IFh0/+yexhMPeTC7kksZeJn2IAw5zTlldU4lnfW7mEw9ZCSsiqcKWEXlj/hGIiXbM3MRyWnYTFMveXnTcfsHkKDhw2Il/RpFYsV+3PtHkajZ1JaMpqym4JhbIENiJfkFJVB8ALEdt6c2sfuITD1lEFtm2LtodN2D6NBwzEQL/lm3VG7h8AwjAvaJzZBfJNQu4fRoGEDwjBMg2RbZj5yi8rsHkaDhg2Il3C7TIap33AGlv9hA+IlIzslsJgiw9RjRnZKYCkTP8MGxEvKK6tZTJFh6jFnSspZysTPsAHxkgM5RXYPgWEYF8zddsLuITR42IB4SbdkjoEwDNO4YQPiJcdZPoNh6jXDO8bbPYQGDxsQL/lxQ6bdQ2AYxgUpcRFIiOI6EH/CBsRL3pzah1N5GaYek55xGjmFXAfiT1jKxEsmpSVjUlqy3cNgGMYEFjv1P7asQIioKREtIKJ98u84g306E9FmzU8BET0ov/YMER3TvDahzv8IhmHqNYPbNWMXlp+xy4U1DcAiIURHAIvk5w4IIfYIIXoLIXoD6AegBMAszS6vKa8LIebWxaAZhjl3OJF/ll1YfsYuAzIZwGfy488AXOpm/wsAHBBCHPbnoBiGaTgs3pNj9xAaPHYZkCQhRBYAyL8T3ex/DYBvdNvuJaKtRPSxkQuMYRiG8S9+MyBEtJCIthv8TPbwfUIATALwg2bzDADtAfQGkAXgFRfH30FE6USUnpPDMxKGaSxc0MXdvJSpLX7LwhJCjDF7jYhOElELIUQWEbUAkO3ircYD2CiEOKl5b/UxEX0A4HcX43gfwPsA0L9/f07LYJhGQmJ0KBI5iO5X7HJhzQZwk/z4JgC/uth3KnTuK9noKFwGYLtPR8cwzDnPiv25yOYgul+xy4BMBzCWiPYBGCs/BxElE5GaUUVEEfLrP+uO/x8RbSOirQBGAXiobobNMMy5QnhwoN1DaPDYUkgohDgFKbNKv/04gAma5yUAmhnsd4NfB8gwzDlPvzZxyCupsHsYDRqWMmEYpkGSkVvCLiw/wwaEYZgGyeqDp+weQoOHDQjDMAzjFWxAGIZpkIzv0dzuITR42IAwDNMgiQkPRlI014H4EzYgDMM0SNYdOo2TBRxE9yfcD4RhmAbJS1f2wv7sIruH0aBhA8IwTIOkX5um6Nemqd3DaNCwC4thGIbxCjYgDMMwjFewAWEYhmG8gg0IwzAM4xVsQBiGYRivYAPCMAzDeAUbEIZhGMYr2IAwDMMwXkFCNJ424USUA+Cw3eOoJfEAcu0eRD2Cz0cNfC4c4fPhSG3ORxshRIJ+Y6MyIA0BIkoXQvS3exz1BT4fNfC5cITPhyP+OB/swmIYhmG8gg0IwzAM4xVsQM493rd7APUMPh818LlwhM+HIz4/HxwDYRiGYbyCVyAMwzCMV7ABqacQ0Tgi2kNE+4lomsHr1xHRVvlnFRGl2THOusDdudDsN4CIqojoirocX11j5XwQ0flEtJmIdhDR0roeY11i4bsSQ0S/EdEW+XzcYsc46wIi+piIsolou8nrRERvyudqKxH1rdUHCiH4p579AAgEcABAOwAhALYA6KbbZyiAOPnxeABr7R63XedCs99fAOYCuMLucdt8bcQC2Amgtfw80e5x23w+HgPwX/lxAoDTAELsHrufzscIAH0BbDd5fQKAPwAQgMG1vW/wCqR+MhDAfiHEQSFEOYBvAUzW7iCEWCWEOCM/XQMgpY7HWFe4PRcy9wH4CUB2XQ7OBqycj2sB/CyEOAIAQoiGfE6snA8BIIqICEATSAaksm6HWTcIIZZB+vvMmAzgcyGxBkAsEbXw9vPYgNRPWgI4qnmeKW8z41ZIs4qGiNtzQUQtAVwGYGYdjssurFwbnQDEEdESItpARDfW2ejqHivn420AXQEcB7ANwANCiOq6GV69w9N7i0u4J3r9hAy2GabLEdEoSAbkPL+OyD6snIvXATwqhKiSJpkNGivnIwhAPwAXAAgHsJqI1ggh9vp7cDZg5XxcBGAzgNEA2gNYQETLhRAFfh5bfcTyvcUKbEDqJ5kAWmmep0CaPTlARL0AfAhgvBDiVB2Nra6xci76A/hWNh7xACYQUaUQ4pc6GWHdYuV8ZALIFUIUAygmomUA0gA0RANi5XzcAmC6kIIA+4noEIAuANbVzRDrFZbuLVZhF1b9ZD2AjkTUlohCAFwDYLZ2ByJqDeBnADc00JmlgttzIYRoK4RIFUKkAvgRwN0N1HgAFs4HgF8BDCeiICKKADAIwK46HmddYeV8HIG0GgMRJQHoDOBgnY6y/jAbwI1yNtZgAPlCiCxv34xXIPUQIUQlEd0LYB6kLJOPhRA7iOgu+fWZAJ4C0AzAu/LMu1I0QOE4i+ei0WDlfAghdhHRnwC2AqgG8KEQwjCt81zH4vXxHIBPiWgbJBfOo0KIBqnSS0TfADgfQDwRZQJ4GkAwoJ6LuZAysfYDKIG0OvP+8+TULoZhGIbxCHZhMQzDMF7BBoRhGIbxCjYgDMMwjFewAWEYhmG8gg0IwzBMA8WduKLB/lcR0U5ZdPJrt/tzFhbDMEzDhIhGACiCpH/Vw82+HQF8D2C0EOIMESW601HjFQjDuIGImsnS6JuJ6AQRHZMfFxHRu376zAd9oWFFRN/KNwamEWIkrkhE7YnoT1knbTkRdZFfuh3AO4pIqxURTi4kZBg3yDIxvQGAiJ4BUCSEeNlfn0dEQQD+BkmWu7bMAPAvSDcHhgGk1rZ3CSH2EdEgAO9C0gnrBABEtBJSUeYzQog/Xb0Rr0AYxkvkpk2/y4+fIaLPiGg+EWUQ0RQi+h8RbZNne8Hyfv2IaKk8+5tnIqU9GsBGIUSlfMwSInqNiJYR0S6SGmf9TET7iOh5eZ9IIpojN03aTkRXy++1HMAY2SgxjRwiagKpl9APRLQZwHsAlGswCEBHSJXsUwF8SESxrt6PDQjD+I72ACZC6rnwJYDFQoieAM4CmCgbkbcgNbzqB+BjAP8xeJ9hADbotpULIUZAkqz/FcA9AHoAuJmImgEYB+C4ECJN9nX/CQCybPl+SGKKDBMAIE8I0Vvz01V+LRPAr0KICiHEIQB7IBkUl2/GMIxv+EMIUQGp50Qg5Ju4/DwVkohfD0hy4psBPAHjRmAtAOTotikCgdsA7BBCZAkhyiCJAraSt48hov8S0XAhRL7m2GwAybX825gGgCxhf4iIrgTUFrfK5OIXAKPk7fGQXFouRSfZgDCM7ygD1Fl/hahJcayG5B4gSDd/ZebXUwhxocH7nAUQZvTe8nuVabZXAwiSFZn7QTIkLxLRU5p9wuT3ZBoZsrjiagCdiSiTiG4FcB2AW4loC4AdqOngOA/AKSLaCWAxgEfctYlgvyjD1B17ACQQ0RAhxGrZpdVJCLFDt98uAB08eWMiSgZwWgjxJREVAbhZ83InSDcKppEhhJhq8tI4g30FgIflH0uwAWGYOkIIUU5EVwB4k4hiIH3/Xofzzf0PAF94+PY9AbxERNUAKgD8HVD7X5ytTc8HhjGDCwkZph5CRLMA/EsIsa+W7/MQgAIhxEe+GRnD1MAxEIapn0xDTXplbcgD8JkP3odhnOAVCMMwDOMVvAJhGIZhvIINCMMwDOMVbEAYhmEYr2ADwjAMw3gFGxCGYRjGK/4fPSG/aYzLGZYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x1,u1,'--')\n",
    "plt.xlabel('Time (ms)')\n",
    "plt.ylabel('velocity (m/s)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "8b2ed3d0",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ((ax1, ax2)) = plt.subplots(2, 1, sharex=True, figsize=(16,6))\n",
    "  \n",
    "ax1.plot(x1,u1,'r--')\n",
    "ax1.set_xlabel('t [ms]')\n",
    "ax1.set_ylabel('vitesse u [m/s]')\n",
    "\n",
    "ax2.plot(x1,v1,'r--')\n",
    "ax2.set_xlabel('t [ms]')\n",
    "ax2.set_ylabel('vitesse v [m/s]')\n",
    "\n",
    "plt.show()\n",
    "plt.savefig(\"vitesse.png\",facecolor=\"white\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "1d36330b",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c7f58c36",
   "metadata": {},
   "source": [
    "## NETCDF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "5ae3cc78",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'netCDF4._netCDF4.Dataset'>\n",
      "root group (NETCDF4 data model, file format HDF5):\n",
      "    dimensions(sizes): time(9210)\n",
      "    variables(dimensions): float32 t(time), float32 u(time), float32 v(time)\n",
      "    groups: \n"
     ]
    }
   ],
   "source": [
    "r3 = nc.Dataset('x1010_y1010.nc', 'r', format='NETCDF4')\n",
    "print(r3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "909429bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'t': <class 'netCDF4._netCDF4.Variable'>\n",
       " float32 t(time)\n",
       " unlimited dimensions: \n",
       " current shape = (9210,)\n",
       " filling on, default _FillValue of 9.969209968386869e+36 used,\n",
       " 'u': <class 'netCDF4._netCDF4.Variable'>\n",
       " float32 u(time)\n",
       " unlimited dimensions: \n",
       " current shape = (9210,)\n",
       " filling on, default _FillValue of 9.969209968386869e+36 used,\n",
       " 'v': <class 'netCDF4._netCDF4.Variable'>\n",
       " float32 v(time)\n",
       " unlimited dimensions: \n",
       " current shape = (9210,)\n",
       " filling on, default _FillValue of 9.969209968386869e+36 used}"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r3.variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "deec71aa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "masked_array(data=[-0.04541 ,  0.09375 ,  0.024902, ..., -0.183105,\n",
       "                   -0.146484,  0.104004],\n",
       "             mask=False,\n",
       "       fill_value=1e+20,\n",
       "            dtype=float32)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r3['v'][:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "5b751bc0",
   "metadata": {},
   "outputs": [],
   "source": [
    "x3=r3['t'][:]\n",
    "u3=r3['u'][:]\n",
    "v3=r3['v'][:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "7e9599fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f8975612c10>]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x3,u3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "feb584db",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
