{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Import packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "import numpy as np, seaborn as sns, os\n",
    "from matplotlib import pyplot as plt\n",
    "from sklearn import datasets"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PART 1: Olivetti faces\n",
    "\n",
    "### Define the variables below:\n",
    "* stimdir: directory where stimuli are to be saved\n",
    "* imprefix: what you want the file name to start with"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "stimdir = '/mnt/c/Users/easso/docs/neurohackademy/eeg-notebooks/notebooks/stimulus_presentation/stim/olivetti_faces'\n",
    "imprefix = 'image'\n",
    "try:\n",
    "    os.makedirs(stimdir)\n",
    "except:\n",
    "    pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "faces = datasets.fetch_olivetti_faces()\n",
    "data = faces.data\n",
    "images = faces.images\n",
    "targets = faces.target\n",
    "print(faces.DESCR)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(np.shape(images)[0]):\n",
    "    fig, ax=plt.subplots(1)\n",
    "    plt.imshow(images[i,:,:],'gray')\n",
    "    plt.axis('off')\n",
    "    ax.get_xaxis().set_visible(False) # this removes the ticks and numbers for x axis\n",
    "    ax.get_yaxis().set_visible(False) # this removes the ticks and numbers for y axis\n",
    "    plt.savefig(stimdir + '/' + imprefix + '_' + str(i+1) + '.jpg',bbox_inches='tight',pad_inches=0)\n",
    "    plt.close"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PART 2: Labelled faces in the wild\n",
    "\n",
    "## Warning:\n",
    "This is a large dataset: 200MB! Use with caution.\n",
    "\n",
    "### Define the variables below:\n",
    "* stimdir: directory where stimuli are to be saved\n",
    "* imprefix: what you want the file name to start with\n",
    "* n_images: the number of images you want to save. since this is a large dataset (over 5000 images!), you probably don't want to save all of them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "stimdir = '/mnt/c/Users/easso/docs/neurohackademy/eeg-notebooks/notebooks/stimulus_presentation/stim/faces_in_wild'\n",
    "imprefix = 'image'\n",
    "n_images = 200\n",
    "try:\n",
    "    os.makedirs(stimdir)\n",
    "except:\n",
    "    pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "faces = datasets.fetch_lfw_people()\n",
    "data = faces.data\n",
    "images = faces.images\n",
    "targets = faces.target\n",
    "names = faces.target_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALoAAADuCAYAAACOER0QAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAF3dJREFUeJztnVmv3cS2hR0g9EkI6XaIIIL8/7/CAwgBQgREIH2f0Hfn5Wrdz59YQ661c87VuTXGk63adpVrze0aHjWbE3///fdSFP/f8dL/9QCK4j+BGnoxBWroxRSooRdToIZeTIEaejEFaujFFKihF1Oghl5MgVdG/vjkyZN7t1FPnDix99xtL720///rzz//3NuWruMOr3d7eU+3vfLK/06B7//HH3/sjv0MvM5jZh++p+9D8G/TdX/99deme4zcM43L/aX5fPXVV3fHr7/++qrtl19+2R3/+OOPB43TePr06f5G3n/LHxXFfztq6MUUGKIuhyItPYkSpL/1kslzL7VcCn1dokO8T1pOX3755b3XjTjNJUpCpHuOtPGZEr30s299pkTp3B/n0PPJ+yRqm9A3ejEFaujFFDgWdUlLUVJBEgXhspUoz8hYtioWxlZVwkjUZStdGKF7W6lEmheDY6GS4rakyJjy+D77xuLraBO//fbb3nsk9I1eTIEaejEFaujFFBji6CM8NSHx99Tf1r9N3wQnT55ctfHc3DBJWbwuSZ2WS5OcmZDk0zQvSSYkPNd8Pu9wkmu7b+5+pl1oP0OScgnuVo+gb/RiCtTQiylwLHnxUPlt3z2WZU0X0u6ZKcFrr722O7aMlZbh06dP771uX9/uf8Spi0jSXFraU1sap9s4Ns9nmus0T7///vvu2POS7klKYgnx119/3R3bGWwr+kYvpkANvZgCNfRiCrww78Uk6aW/HeHhp06d2h2/8847q7Z33313d3z27NlV25kzZ/7xHr7Pm2++uWrb6klJXmqk7XNzWN7H9yRvdRs5usecAkv47ZLGmfpLLhyWAik9+tl5/vz581Xb/fv39163FX2jF1Oghl5MgSHqknYAt1IV/62XU8p/piAXL17cHV++fHnV9v777++Or1y5smojrTHlIa2hROmxJUkveSiOeP6RIlBS87mpxNY42+Qt6XHy3GMhtUgSop/vyZMnu+PHjx+v2twH8fTp093xodmf+0YvpkANvZgCNfRiCgxx9OQ5Zq9AwtyQ/O/tt99etZ07d253fO3atVXbBx98sDsmX1+WNS+/cOHCqo3b/JYQycv9vUBpLuWKsaTHufC2e/qW4T0915QX0xa5+ftWz8bkZZm+MzwWPp+fIc31VreJyotFEVBDL6bAvy2vC5cwewxS7nvvvfdWbVevXt0dm7pQUjTl4Y5n8ozz0p6W6JS7hfQkeVK6bSt18Th5H9PEJAXynolGub8kdSYPRVIZ7oQuy7L8/PPPu2NTKvbx008/7X2GkeB2om/0YgrU0IspUEMvpsAQR08RKubhb7zxxu6YnHxZ1lybkuGyLMulS5d2x9yedx8pIiZFLZlTkr+nHIpGyudIjLhGJGyVAg3yaf8d+fSzZ89WbeTTSbL0fJJf2wuR/aUA739Hkee+0YspUEMvpsAQdfHSRxnNXoHcufQu5tHR0d7rSE+8hHEJtcTGsblta16XkR1OnvueKdgh5YHcmgvR11GasxRIKuHr2MbgBrelwBLPS5Ilt+aVsRdp2lHdir7RiylQQy+mQA29mAJDHN0SIrfhLSHSg9DehNyuNx8jL/cWMtvM/8g/7aFIHmnen7wuk6S3NTehwXEmqXMkIRTn4tGjR6u2Bw8e7I49n0wG5Igf/m2aa88ff09KzMuSv094H1/H+bW9bEXf6MUUqKEXU2CIujCAYVnWwcv2JkzLN5fs5G1np34utV7aGUCblkzLmezDOV+4vKZ7GqRKKRW1aRSpi3MMcpyeM0qDN27cWLXduXNnd8w5WpY1PeFO6LKs5cUUXGFKR5rhuebfmkaRupgOce79O2xF3+jFFKihF1Oghl5MgSGObu5EPmaJzVvDRMoxmOS35P1GSdHfB+SGTopEvpuSG/n7hH+buHYqJejgYUqD9+7dW7Ux+Y+9Au/evbs7vnnz5qqN8qI9FFM+R3L2JAUmFwd/E6Tte86n5zpJj1vRN3oxBWroxRQYoi7JqyzJiV4yuQxbuiINSLlNvAxySfM4SV08Fp6b1rz11lu7YweB8G/Pnz+/auMusZdajs0yIWnH9evXV223bt3aHdvT8Pbt27vjhw8frtoOTUWdKuuRSlhmJc3xXPM+npeUwpowRd6KvtGLKVBDL6ZADb2YAsfi6KkEISUwby/zPOXFTqVVjBRJQz5vz0bKeOTky7J+Xl9Hzs7c7MuyTsLkPO50M3CiHnLvb7/9dtVGzk5OvixrXm5enEpkcp78rZQSO6Ug9X33N/xNwD7S91c5elEE1NCLKXCs3IukHZYCuTTZE4/nyTNuZJlK6YoJ33NrnkQv3/TWdNACaVzaMU65Cb2rSHri4Arex3SBc5Hypfh3IHxPzpPnLMnDvI/bOJ+pEvcInSX6Ri+mQA29mAI19GIKHCs4mrBcRB5ubztzUyIFMrOPJIclLpoiWxJS1IvlMEqIditI4+TzpZKOljr5/WDuy/NU7jF9Z6T87/ZS5XWpVI6lanL0JPOmb4mEvtGLKVBDL6bAEHWxxMbl9dBKaSkFckotnCo5G6m/VOk4lRRJ+WdIA+xpSNphKshnd7A5c+OYuqQq1qk8DSVMzwufyUHjHFuiX/ZQZECFg1zoAerAC8JS9Vb0jV5MgRp6MQVq6MUUOJYLADlfkqAsM6UteralKsGJ35pPc5zmhpT/fB235P19kiJiyFPtoUhOa4mN3NSyJDlzknmT1GluT47uCCq2paB4f5vx3PdkqU3nzCfv97fEoTkpib7RiylQQy+mwAvL62IJistWCnJ2UAaXTLexf1MQ0gBLXqQWTmHtwGaC/aeKbpa80i4m6YnnjPPk6yjVeT7ZnyU9UgTTIT6D036Tcnk+SSlNzUg7fE+W9HEbqa+Dceit2dIuRRFQQy+mQA29mALHCo4mxzRnJlezBEWpzFvklI8SvyXf81iS15y31ukpZzmTXNHPwIgfc1g+u6XHJMmmcjGcC3P09HycF3sFcj4tBaZKzvx28Vg4Tm/lsy2V9LFNsI8kTSf0jV5MgRp6MQWGqIt3rLgsWy4ilfGyz51DS16kJF6m2J+pC/v3sshxp0rHKf+McxqyzZQnBXOQtqWKzKYupCApb00qseN5SflZkoyXvEFTUEZKCZ52wdmW5iyhb/RiCtTQiylQQy+mwLFcAMgbLSVRrkredsyVviw5FyOlx5FSkOSK3rJm/6lESxqLuW8KViZHd2QSOWz6HkrzmSTLJA+niswpgZFtInmR8rdNEWEjUWBb0Td6MQVq6MUUOJa8mKrScak1lUilQZIHH5dFL5nJK5DLneUp3tNjScHRiT6kXWF6Onqnkv15LEkmTOPiuX8H0r30PCloPAVjp9w0tiXSOO8m856WgLeib/RiCtTQiylQQy+mwBBHT0l8Ur5Dg/zMfJr3sUfd1vIf5njkf+b2PPczkF+7bWseSnN08tuUB9wcPZUuJNzG75xU8jBt+ZtP89zPwPv4nun5OGfuj/epC0BRBNTQiykwRF1SfsVUxiPlWTF14RLtNi61piCpQt6+eyxLpjwcp69jH5a8SJVMebaWRfGynwI2CI+Tz5S8CU0JUs7GfeNalizXsr+UnyXJmYeib/RiCtTQiylQQy+mwLHkRXJT81Ry9sTtE9dOcqZBbpi8Ds19k1tB2rIm9/U4yT9THnffM/HWJOWmkoeH5pQn0vfC1jF7bP4moE2kSK8GRxdFQA29mAJD1CVVPPNSlHJxkMr4uiSjpSU6SWBcei0hpp08Ii3RifKksST5zc+XJLattCZVlU7z4t+B5+4vBUBvpbMOvmna6KLYiBp6MQVq6MUUGOLoDixOETGpJOC+e/zTOZE4egrKTZFC6ZsgVbFOFYy35lBMXpZG4tr8zhn5jko55fl7+rdN3yDpd09enZQQE0dP32IJfaMXU6CGXkyBIeoyIheR5qScf0meSk72SUZLDv8Gn4FlZZZlWZ4/f/6Pf+dxmoLQ6/LcuXOrNuakdHA0KYIpD+feFIcB117a+bukQI+U+nqE0hFJzjQ94TN1Z7QoDkQNvZgCNfRiCrwwFwDzKvLyxNHTVr65KPlm8sRzoh72b57Kb4m7d++u2pgTfaQMC3m4S94wj7tzw3Oc6ZvA3xL8lkncN33zpEgh41BPyhQYnnKg85n43TSCvtGLKVBDL6ZADb2YAkMc3dwplTon33Sy0JRQiEgRMOaG7C9FEZk3kqO71Dn7cPIfat7Ww6mjm4dTVzd/Zx+e66SV89n9LcHfyM+eIv23cvTkbpF4uNtShgC2laMXRUANvZgCQ9TF0hWXfUuB/FsvwynHNZcpUwLKeF5aE3Xh2ExPOJZUuiZt15vWMFe7XQB4nkrQWLJM5VRSEiYiBU6buqS8jCkaKLWlsjbJy5L0K3mNJvSNXkyBGnoxBWroxRQY4ujmVeS3iXNZgkquo0TiqSkPuMFviWfPnq3aUl7u5I5Kjm4OmxKJ8m9TBE7it8k9ILniuo2/gyW95DaR3G15T9tEckdIUnU5elFsRA29mALHkhdTQGvKH56kuRRJQ4nPdIHLqSkBx5ZKrXicrCqd5Dc/O3c86QG5LGvJ0tTs8ePHu+Nbt26t2m7cuLE7fvDgwaotSbKcp7RTmXahE6VLO6iJKqU2735SEk6VxRP6Ri+mQA29mAI19GIKDHF0S2Vbo0IcEcPrvJ1NrphkO0ctcevbXJtjsQvA/fv3d8c//PDDqu3OnTu74yQv2guR/XteyPs9n48ePdodf/3116u2L7/8cnds3s85tMvB1atXd8eeT34jeD7TXG/l6H72JIPyb5M7SbMAFEVADb2YAkPUZaSMB+FlKu2QcSm09Ji89Ng/KceyLMtXX321O6ZM5/Nvvvlm1UZak3Zw7YVI+e/evXurNgZHe9knrbl58+aq7bvvvtsde3eXFOTSpUurtrRTSRrHvt3H+fPn9/Y3As7hSM78rTJoQt/oxRSooRdToIZeTIFjJRkll0rbtpYQU/RKyq9NWctjoTT32Wefrdo+/vjj3fH333+/aqNUx3ssy9rrMXF0c2bKqbdv3161pSiplBCKHNpuDKkkO8dtHs65uHDhwqrtww8/3B1fu3Zt1XZ0dLQ7TqXjja1l5ZN3ZvoWTOgbvZgCNfRiCrww6uIdR55bftu6FFnO5LmpEqXBTz/9dNX2ySef7I5NT1JQLs9HqkOTWnhXOFWjTkEZiRKw/xRYYq9H0ij/RpRWE5XwTmwaM89Nv3ienj3lj0zoG72YAjX0YgrU0IspcCyOnjwN+bfm74S38skVzdXIFb3N/8UXX+yO7flHbppKHPqbgNLZSB5BInk9mqdulVbt9bhvXO4jffOYo/N3ceA5rzN/Z4STJcQ0TynoOUVJbUXf6MUUqKEXU2CIuiTZx0tYqhLMZdhyEftwGynI9evXV20MTPBu5NYShKYEqXpySrm89bpUKsdIcibbRnaTU6lL7hh//vnnqzbSP4/lypUre/tLFa6JlDb6UPSNXkyBGnoxBWroxRQ4lrzI85TcyBIi5aKRUnvcTmfEzbKsPfHspUc+aBmUfNDPlyKqyH3N0ZNbQ7qOcqbvwbYR1wFiZEueHN0yIftnxNSyrKPA7NlIbm974TN43vn7NTi6KAJq6MUUeGGVo1P6YC+LlPFMTxjskAJ2TV0YhOz+OE4v+/TgS/JiqhyddoW9DPM+buN1SSb0M1B+S56Uvu7QSs78HRz8zRw3zgOZbCJRLrYlOpnQN3oxBWroxRSooRdTYIijm/+lrdnEG3meAn0Z5bIsaz7oPImpGnXi2kkOI/e2REqPvlSp2v2lbffEU3ldKheT5tO/A7+HUg57j4vXOWqJcqP72/p8Seb1d8ZW9I1eTIEaejEFjuW9yHMvU1uDji1ZpiANLpNearl8Ozcgl0Iv+8wreObMmb33tKzFPtxfkthS9eRUBY/ybaIAnhfKt6lit8eSJL2UfybtiJMaptyZhwZAJ/SNXkyBGnoxBWroxRR4YRFGqRKw3QPIz9xG6cr9kUemSCFfl3KuM+eg8w8mzkyubw++jz76aHfMiJtlycmNOBeeF5Zm9HcMx2KuzYRNKZmSZUn+nmk+Df6tnyEFeCc5+tB8i0Tf6MUUqKEXU+CFBV6kUh2+jn9LqrIs25e3kTIzlLVOnz69aiNdcVmUVKWYkqKpCyVL35PPbhpFaS5JgcmT0nPNHVznSfRcENyV9lhSBTnSKv9GfN5kE6YufD7vXm9F3+jFFKihF1Oghl5MgWPJi8njLEXL8Nwcj7zOFYspa5lfpgBa8tSLFy+u2sivzZlTsDLHZrmNPNXJlNL2eapwzb81T+VYPE5Kuf6NOG5HeqVA5vRtxuuSK4afj99q5ugpumor+kYvpkANvZgC/5HAi5SDz8s+ZUnLaKQg9n7juSlBkhdTqZWUIzLJYdyBdKkVXmf5LVE6to3kdUlBJ/TWNKVLFfl47pTSCXx278QmOXVf3yPoG72YAjX0YgrU0IspMMTRR7bdyaVSORXzxlS2hHKVuSElNvNi8vdUCtK8kf1ZekzyKeU48/cUcE3u7cgk9pG8Bw3e079fcgHg31omJJ92W/peSNFVRLKBVo4uioAaejEFhqiLl5QUmMAlO3k2pspz6Z6W2CiVJVqTltok97k/UgvfM+2okq74npQwU0mYlGo7BUmkPJAp/fOpU6dWbanKX8pbQ7pnSsd5Sfl1Eq1J6Bu9mAI19GIK1NCLKTBEeJKsdWievZTcyNvC5I3mxeThyT3A/C95xiWpjPe09JjKL/L7wXwz5TInUkVmfw9tLRPpeeEzpTzuDL5eluz1yD78HcX5tJ1x3I0wKoqAGnoxBYaoi2lGCmROO4CJEiTqwh3PJOm5P2LE++3Q/IOcF+/EMi+jnyF5DHJeTAk498mjNFECtyXv060SsK/bSl1SHqCRXWGib/RiCtTQiylQQy+mwGH7qf+DrdE5SdJLZTxS4K23nsn5RqRO8ltzQ97HEiJ5o78JuGXuyB2eJ5cKJ3ZKFZP5OySunX4j/w7s3zkbee6gao7Tvzu/V/x9kiKh0lxvRd/oxRSooRdTYIi6UBpbluy9uHXHMUleSdIzdSHtSEu02zjuVNHN1IH0xAEMpCdORU2KZbrAsZl+UV5MgdopL6Pz5PA+zrNCesKU1W5LgegOHqGH6UheTf6tKeRW9I1eTIEaejEFaujFFBji6JcvX16dk2Oaq6VkNeRuiY8ZKcEPeWPKEW5ZK5WESW0cp7koZTR/g3CePE7Ok+eM3yCpPKF5uMe2rz9zdEYRsWK3/9YSInm4v+k4Nj87OfpWOXgEfaMXU6CGXkyBoXXAHmepOnTaxUw7ZFzeLLGl0iep8jDvk/LIWHrksuy2FDzCXcU0Fi/fnCdTCXpumtakgGtSQ/dHOvTkyZNV2507d3bHlhd5H0urZ8+e3R0nOdq/XwpWSUEuW9E3ejEFaujFFKihF1NgiKN7GzxV+z20LVV5JlJ+7SS/+ZsgBU4nzz/OhXM9kvene/rZye3NmcnZLVmm8i2cF88ZuffDhw9XbXwm90f3B7s4kJdb6uTYUkRaCgz3M2xF3+jFFKihF1NgiLqk8humNWl3K1WQI7z0cUmzZMkAAN+Ty76DCEgtTJWS9Mg+LAWmoHEiURffMy37lOPSjqqfnRXzTF34DK5+zcrYztnInVg/H8eSAubTrqltYiv6Ri+mQA29mAI19GIKDHF0B8ImbkgOaz7Gv00JaVLwsK/juQOLU8XitH1Ozp44egpkTjnXU/KmlIgofYO4jWMzD79///7e68i9j46OVm2UEO0Wwt/BweYpYJ6/dZKOU3mhhL7RiylQQy+mwBB18RLNZSrlUknSY8rdZ6R8jrxPCmjwrmkKIuByOlJ1j9cl6uJ5OTSFdQoa57KfKF0K8KZH4rKs5z79fimoZiTHDK9r7sWiCKihF1Oghl5MgROHVuItiv8m9I1eTIEaejEFaujFFKihF1Oghl5MgRp6MQVq6MUUqKEXU6CGXkyBGnoxBf4FnstETquyMr8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALoAAADuCAYAAACOER0QAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAFsxJREFUeJztnUmPHcW6RRO49GDADbYBM8ASlhgxZer/jcSMOWKExICBDXa5wcb03Zudu3KLWoqo43ev3ou9RpmKk01kRWXs/OJrnvn777+3Uv6/8+x/+wZK+U/QgV6WoAO9LEEHelmCDvSyBB3oZQk60MsSdKCXJehAL0vwr5kf37x5c7eM+uyz//4/ef7553e/feGFFw7br7766q7t4sWLh+2rV6/u2i5cuHDYfuaZZ3Ztv/zyy2H7hx9+2LX99ttvfvOnnJOwP9u27wO3t23bnnvuuVPbuP/yyy/v2rif1+MqtbVZH37//ffdPp/Zzz//fOpv+bts++OPP3Zt3M9zPnny5B+387i8z19//fXU4x4+fHjq9b788svTHwboG70sQQd6WYIp6ZJT9O5E/9qfilO7tSUmQf76669Tz8m2dFRjW077o1LGZM1rr722a3vppZf+cTt/m/fJ6Tzvy5zv+Nt8LtY/Ppf827It4W9ffPHFXRuvn9dOuUnYv+wD923sGH2jlyXoQC9LMCVdchrm9JZTnbXxC//x48e7Nk5hOS3yPClxbKo1iwWnQpM1OWVSgtCKtG3b9sorrxy2U/KYpMv+EsqaPCfvk9aLbdtbMFL+8Ld53Gnnz/3sAy1sZlnJvxf7ZFastA6N0jd6WYIO9LIEHehlCaY0euoxrnTl6tmff/552E6tZqtu1N48x7btdV22EdPhqYO5UpkalroxV3d5nJm8Uouyv3kc7y11Klee81uJ/X3w4MGuzbS3mU/5LPK58NnncRwj2Qe7HvfNHJ3HjdI3elmCDvSyBFPSJSWISQnup8MX29JMyGnSTFA5vfEaZn7L4ygDbEU1YR9SHlgfbAWX95Z9oKzJZ21mQv7N8np8LrYSa8/BpEQ+a0oZcxQzs6ut9Bp9o5cl6EAvS9CBXpZgSqPn8iv1kunbPM7McdRnqUV5XJrYaP6zJWszZ6Y25PWzD6ZNeU4zzf3000+7NgssoU5NzUxdntdjoIL9jcyUm9jf/bTfbdteo+e3GZ99/o3Ylt97o/SNXpagA70swVHmxZzqiU2LnGpzejMTmwVQUNbktEuZk1Omec0RW4m1qdbOk9M+pUyew1YV+SxyajePT/4985nxPNk/kn0wKcM+WXCFrZra38joG70sQQd6WYIO9LIEUxo99ZdpN4N6MM9BPWamuTT3mf4z3chzWn/ym4DfGXmcRS2Z1jdTpwUd83q2tJ7fWLyXPCf/DmkOHnVxMPKc9g1iOXRG6Ru9LEEHelmCo8yLnFJyKrJAAbZZqrfkrA74FuzA/Ux3RjJgg9O3yZG8ngVcmzehMeqFmJgcsvw6o0Evo9fetv2YsLZ6L5YidKCXJehAL0swpdFzeZl6KXU4k/i8/vrr+4uKNjTzlJkQGayc90LMrJXXNtMjr2/HWTpti3ay4Gjre94Lv6tSW9NEm5FJ/O2oJ2PuZ5t5HlLP57fgjz/+eOo5R+kbvSxBB3pZgqNyL5p0YSDEW2+9tWujfMgp01YnR6ULZdO27afMNBNyP+8l80ISM61SDpmkS3nCe8lp3lYHTbrwOc0Ej5wVkxYWwE7MO/Os9I1elqADvSxBB3pZgimNbpE7qYvfeOONf/zdtu01WJq82DZThsWgTs0qcefOnTtsm77Nb4fsL6F5zDT6TMkbS95E01wu3ZuHIq+X3wSWV9P+DubiYDkb7TvKPFpH6Ru9LEEHelmCowIvODVlWmWWPslp3vIBcuo1j8iE06sF7Oa0SOmS0z73c7pm/1LyWJCzrQqPTstWNHcmkMUCks0700q08PqWj9Mq8mX/eM7RwI6kb/SyBB3oZQk60MsSHFXa5ayRH2buM1OZJQairstIIWpDavJt8yBg6nmrHJ1L67y+9c/yqlveQjO/WW5xi65KXcxnP+PVaWV7TPebOZPHtbRLKUIHelmCKemS0wanqZyGOfWlt92ozLGK03kOCzDg9W/fvr1r429TZlhuQt5LSqU7d+4ctmmGzHsxM1r2gSusGchiARsW5MxnmCms79+/f9g2iWUmRPNEzedp3plmkh2lb/SyBB3oZQk60MsSTGn01GPUmFmx+NGjR4ftNIdRc82YtSxyh7rOShem3uR+3qeVaKFbQ+pGPouMUqKrhAUyZxuvcXJysmuzZX5bWrfc6dTsFj2W5kxLYGSelKedI6n3YilCB3pZginpYtN+Tn3MxWEmroTTqXn+pbekBTRQ1qS5j1N0ellmf0nKAPLkyZPDtuVszOdiVels5ZD75oFpVf4sSOLNN9/ctXF1OZ+ZBaSM5mycyWU5St/oZQk60MsSdKCXJZjS6LnUTW1oHnwzef3MU436jEvU27bX4bmUb8vn3D9//vyujfdteRLT5EV9nc+MHp9peuT3Qmp0c3Gw8i22DM97Sa9OPpfUxdT9GfXFcXDWJEUzQdyj9I1elqADvSzBUdKFU7sFTufKGqe+NIfxPFYFL6c38/wzT0Pup/ziNdJsRpObVUpLicU+zcgTCyw26UKJkH2gXMn8mNY/+zvwPq0UkEkQky5dGS1F6EAvS9CBXpbgKBcA6iUzv6V5ihovz2nBtaOJbGa8Ak1TUkfmtwT7d/HixV2bBR2PfhOYp2g+M/Yp9S1NrRcuXNi1cT/NrjzOdLh9S2Tf7e9gyZS4n64fo/SNXpagA70swVFpoy0nilWO5lSY0xs9/zJgl1h65JxOed8W4G2V57KNabFN8uS0T9kxI08ocyyAIvtnz4UepilrKBHSvMi/Z16P92LSM9tM6lIip/fpKH2jlyXoQC9L0IFelmBKoydWooVaO5e6LYDWvB5H8/OZOSzbTIczOig1LJfMs43fD99///2ujcmN0rzI/lo0l+U5txKSd+/e3bVZ/6iZ8xuL3ydp7qOet7I9iXlZWm7JUfpGL0vQgV6WYGoemAm85bRsK6q2QpbBAFyty3uxVTfuz3gFcmq3fIDpicfjOM3neR4+fLhro7nPcqIkPGdO7RbETRln6aZTft27d++wneY+ej1mmwVzWG6apo0uZZAO9LIEHehlCY7S6JY4h7o4NRfbUk/TXHX58uX9zUJHZq5HmtGsrKFFqKRu5L1kEh8rL8lviffff3/XZvkcaXq0sjbZvzT/nUb2j326du3aqb9Nz0Z+k5i5z56LJSLK7xE+JzNDGn2jlyXoQC9LcFRVOk6hORWxzcx9CSWBBWykmYnTt1VPtspsac68dOnSYdukS5oXeb087saNG4ftND2y7AxNjdvmeS75PC2HYkoc3lsGR/NvnaZVy6/IlW3L9WjyMscH+2v5MI2+0csSdKCXJehAL0swpdFzSde0oZmEqP8sl3lqXzNr0eUgvQKp8cw0l2Y0avbUt7YUzWdhZWauXr26a0sPQsKl/HQd4BJ9PmtLGkStnX9bc3HgOVNP87fmfmA5N81NY9SUmvSNXpagA70swZR0yZVKkydmZjKnfk7tVp0spz4zLxIzg6YZjfeSUonTfkoey+vC88xU3aMpMvtHs2TmeuSzT7MgV36zjfeSfTATn5WL4XgxWZMrxvwbNTi6FKEDvSxBB3pZgimNnjkGqRUzCuW03yWpU/nb1HjU0OZpaNEyqfuZJCm/JSzCiPtZYpH3lvnY7ZuAZlB7ZulWwG8ERv9s2z4g2qKyZkozEvM0NJcRcwGwbzOLtDL6Ri9L0IFelmBKuuRUS1NPtnF1MnMo0jxl06Kt5OX1+NuUQzYVMhggzVqUQ3mfnPbT05D3Yrlb0qRHE6Klt045xPt85513dm30Ssz8OjRFWlCNpeGeyd3CNssRmViuzlH6Ri9L0IFelqADvSzBlEZPrU2Nnkuz1KbMw/hP5yHUbmm2o55OjU7dmlqUejNNXhbkbHnArUIy9bx5E1rQeMLr5TcBr5HuCHyG2T+6dOS3hCWgGs3jftaA+bOWWDT6Ri9L0IFelmBKuuSUyVwqKV04paVc4MpeTlOUJ2le5G9zqn306NFhOyUA7y3lkK3WWZU4q9ZMUmKxDynhuLps5VusKl2aF8+fP3/YTolllaNJSk9eP/Pr8LfZBwuAJmYe7spoKUIHelmCDvSyBFManZp823xZmto0y3/QBJa6kbo8TXPUf9Tk27Y3ZV25cmXXxv3Uf9knwt9aLkTLMWjlF1PD8rvDgoez7dtvvz1s37p1a9d2/fr1wzYTMm2bB07zvvPvwGdhZTCtxI5FV1nl6LOaHvtGL0vQgV6WoAO9LMGURjdNmVHr3Df9l5rLEhFRo9sy+MzyMnWqlRBPqBsz8RATE+X1mHwotSg1dD5PHndycrJr42+//vrrXRu/QTJh0rvvvnvYzoSnFpXFcZDfZsRcds2OnoxGHxl9o5cl6EAvSzAlXWzaSBMUpyZbzs6p3QKETdbwGiyRkr9NGWXmPpJSgubTDEimOTVdANj3PCefRcomRgNlILrlTqfcy+fJ/pp0sXzoKfdGvRBzLNlxT8ObsW/0sgQd6GUJOtDLEkxp9IT6LLUhXVDNpGcR5mbOzCgi/jb1u5n0TBtSz3NZf9v2/U03ArquWo73dLdln1L70uUgXY1p4rPl+nSbIPms6dqcz9Nyp9t3nJXBtPpUpG66pQgd6GUJpqSLmRATy53O6c6kRE6ZnNpzRc6SIo2uptlxeS80/6WsscRHfC4pv0y68JmlF6LlaWRbRgpZaR4el2ZQ9tfMrmZCzHu28WJej6P0jV6WoAO9LEEHelmCKY1upkDLvZ2ai+Yx07Cpi6nLzQXASrLPLPOn9iaWhJPfC9nG5ftcyuc5LaFrZlywttFkQxY9NmPSYx8sq8LMMr/9bUfpG70sQQd6WYIp6ZJT2Ghl4DyOMsdWwVIOcd+m05mqxBboy/5ZmciUUZakaLQPOe2bPOFKZbZZ6Ro+p7xPXj//RmaupeSy4zKpFX9rlaMrXUoROtDLEnSglyU4SqMTq7mTGtZKLPK4mdLc1Hip/3hvVioxzaDUrXltLsnbUnc+F14v75PfAW+//faujclDMxrIvkF4ztThZna1JLHsu7lNZJv9jax0vCVTGqVv9LIEHehlCY7yXrQp01a6zMnePNwsdwunSTNrWTVqC1qwtoT3lvfCQOOUJ/RKzHzllCAWVJ3PxXJLjno92t/BTM55L7naS0Y9YZt7sRShA70sQQd6WYKnptEt36Et86eZafScCdvMa87uxYKj85ymb3lclkNkvsNr167t2kZLpM88T3pg2rM2j09bkrfaTjORXhZhNDqWjL7RyxJ0oJclOCrwwtpGp5iZIFmTJyZ5TLpwP/vAqT6nfZK5CelBmKuYTDGdnoY0G5rZzgJg8jiuBLPs5bZ5dWg+F8u9OCpHct/kZVLvxVIG6UAvS9CBXpbgqNyLZ9VVPM7MWqbx7Jx5X6MlRmZMetS+lsQnvQLv3r172M4ERjxnBmbzGnkvptH52zR10psxA7Xt7zD6/WXmYfPqtL9DNXopQgd6WYKjpIuZ9ExmcOozM6FJI/NQtKnPvN8seDhX+bifOQ1ptkuPPa6aZiAEyf5Rupw7d27XRvNf3ifNoimxzp8/f9i2/DNnDXYw8u9gq63cb+BFKUIHelmCDvSyBEdp9FHM3Jdt1JS2lG/aPvWm6Tpq2jwn9XSWMDGXgFGTZd4XzzmTaIlmyfwmYJtFgWV/rKK2mR4tQsxyL/L62T9+87S0SylCB3pZgqfmvWjmRTMFjpZdyXOaw79JEFtxTPMbSUnA8i3Wh5Q8FtDAa5h0ybI2Jycnp7bx+lbF+qxmuxkpMSqHcsWY5tuujJYidKCXJehAL0vw1FwAntY5Rs2Elnc8tSiTAVlZlIzAofbOnI3U+jPL2Vbh2pIGUXvfv39/18Z9loXctv330YxH5Gj1ZtPaM1FnPI9p9LPSN3pZgg70sgRT0sVWwWwKsynL8qXM5BOxKnj8bZrfGIzw4MGDU+/FvAkzuGJ0JS9XAM0ky3NmHywPJM2Lltclz2GBEGc1S45KM/MGPSt9o5cl6EAvS9CBXpbgKBcA80azZEPGaM51i6RJeC+ZqIdaMTW6RSZZRJNFSY2WdkndbyUrafqka8K27U2mGZlEE+2jR492baN56p9WfkVq9JlEWaP0jV6WoAO9LMFRVek49Z5VnswETnOaTK9AksdxZTRzIbIPadbidGqmwJQgtqJqQc5syxVOrn7mfTKf4wcffLBr48pvyjaecybYwSQIsTExExzD52vVyo2+0csSdKCXJehAL0twlAvAaHSJLSFbnmwzXaVGN23PMofXr1/ftdEcl7qY+2ZCzHuh1k6PSH4vpCmQ3oV37tzZtX311VeH7du3b+/aPvzww8N2lnSk2TD7QC9Pi66y6t6W69GC4mfy1LPNvs2MvtHLEnSglyWYki5pRrNKziSnN5Mndj0zS9qUxvtMExuPS1Mg9y3A2wKnswI097N/zKGY/eEzvHz58q6NORQzaIHHmZQw6WLVve2c2T8+pzwnf2tB3K1KV4rQgV6WoAO9LMGURk/daBqdWsoCoM0rMBlNfJQ6jmbCb775ZtdGbZrBwyRLEFrkDu/NIqHMLJlL3by3/K6hCTHdA+xe+Jzy+4TY38i+zcw7M7FES+bROkrf6GUJOtDLEvyvpY22as1mJjRzI9tMDiWUWJYzJOUJ90262Opu3he9BM18am1ZQY59yOuNBjknFshieS55XMohPsMrV67s2r777rvD9q1bt069z5Z2KUXoQC9L0IFeluCo4Ggz+4xWlU5Gvd+S0WrUCTVlnp/ROVl1maYyy9WemnnUHSGT9vDbIttsmZ9myowismRRhj0zKzPDiKqPP/5410aPTEskVe/FUoQO9LIERwVHG2fN/WHyxHITjlZKs3PmaiTlQvadU2i2sb85fY/2LxkNGs/zW/5Iq4I3Ghxjq7vZRlmT5kUGqGRgCc2nM0H4pG/0sgQd6GUJOtDLEhwVHG1L+SS1IfVYajWaoNIcxmXi9NKj3sxl4tF8juZpmNej/rS+p0a3StWn/S6vl16WXFqfcY2w61kgs2l0q7bN49Jc+9577x22MzD88ePHh+2zlhPqG70sQQd6WYIp6ZLTsJmuOJ0zeHfbtu3mzZuH7U8++WTXdvHixcN2ljD5/PPPD9uffvrpro0efTPprW0Vk1ImZZR595FcxeRzstTXKU+4SpsBDJYT5bTfbZt7mNpx1gfuW/9yLLF/mR/TSgiN0jd6WYIO9LIEHehlCaY0emrD0dInNB1t27Z99NFHh+3U79RqmUfQ8iR+9tlnh+2MIhpddn9apWvsOOrU1LA0uWWSIrZZ1JKVnkwsmssC0S0XovWPbTmWeJ78e9HM29IupQgd6GUJpqRLTimcbtLzjzKDpUe2bW82vHv37q7NViM59d24cWPX9sUXXxy2WW0t79sCtW3VzYJOzCswzZCUZrkqfOnSpX/8XV4j+2cBw5QutmKcmOnR5Inl1WSfsn8mIc9qUiR9o5cl6EAvS9CBXpbgKO9FK4dIj7rUavfu3fv3DYSGpR7MZXBGqKT3G/XuycnJqfedprJRXW46NU1l7HuWb+F9Z9kX6tYZdws+39Th/OYx06Plj5zJgW4uADQzZ974hw8fHrbT3eKsJkXSN3pZgg70sgRT0iXzkIyWdslVTHoapjyx8h+Wv4QmzJQSNGfOBE6bNOM18nrWxusxoCDvLSUP+5sShFO95W7JNnvW/K31PSUW93PVm9Xz0rzIgOj0+LTA91H6Ri9L0IFelqADvSzBM2fVPKX8X6Jv9LIEHehlCTrQyxJ0oJcl6EAvS9CBXpagA70sQQd6WYIO9LIEHehlCf4HlC6sDoG2uQIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(n_images):\n",
    "    fig, ax=plt.subplots(1)\n",
    "    plt.imshow(images[i,:,:],'gray')\n",
    "    plt.axis('off')\n",
    "    ax.get_xaxis().set_visible(False) # this removes the ticks and numbers for x axis\n",
    "    ax.get_yaxis().set_visible(False) # this removes the ticks and numbers for y axis\n",
    "    plt.savefig(stimdir + '/' + imprefix + '_' + str(i+1) + '.jpg',bbox_inches='tight',pad_inches=0)\n",
    "    plt.close"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PART 3: pictures of numbers\n",
    "\n",
    "\n",
    "### Define the variables below:\n",
    "* stimdir: directory where stimuli are to be saved\n",
    "* imprefix: what you want the file name to start with\n",
    "* n_images: the number of images you want to save. since this is a large dataset (over 5000 images!), you probably don't want to save all of them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "stimdir = '/mnt/c/Users/easso/docs/neurohackademy/eeg-notebooks/notebooks/stimulus_presentation/stim/digits'\n",
    "imprefix = 'image'\n",
    "n_images = 20\n",
    "try:\n",
    "    os.makedirs(stimdir)\n",
    "except:\n",
    "    pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "digits = datasets.load_digits()\n",
    "data = digits.data\n",
    "images = digits.images\n",
    "targets = digits.target\n",
    "names = digits.target_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAO4AAADuCAYAAAA+7jsiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAA9xJREFUeJzt3UFRY0EARdH+UwiIA4iDSMABkRCcxAFWwAESwAES4qBHQmDTzM2cs+6q97O41ZtU9TbnHEDLn9/+AODnhAtBwoUg4UKQcCFIuBAkXAgSLgQJF4LufnJ427ab/JvV6XRaunc+n5dtrfxt7+/vy7Zu2Zxzu3bGjQtBwoUg4UKQcCFIuBAkXAgSLgQJF4KEC0HChSDhQpBwIUi4ECRcCBIuBAkXgoQLQcKFIOFCkHAhSLgQJFwIEi4ECReChAtBP3rJ4FYdj8ele/f398u2vGRwm9y4ECRcCBIuBAkXgoQLQcKFIOFCkHAhSLgQJFwIEi4ECReChAtBwoUg4UKQcCFIuBAkXAgSLgQJF4KEC0HChSDhQpBwIUi4ECRcCNrmnN8/vG3fPxxyPp+X7q18FmTlcyf7/X7Z1tfX17Kt1eac27UzblwIEi4ECReChAtBwoUg4UKQcCFIuBAkXAgSLgQJF4KEC0HChSDhQpBwIUi4ECRcCBIuBAkXgoQLQcKFIOFCkHAhSLgQJFwIEi4ECReCvB00xtjtdkv3Xl9fl+6tcrlclm0dj8dlW6t5OwhulHAhSLgQJFwIEi4ECReChAtBwoUg4UKQcCFIuBAkXAgSLgQJF4KEC0HChSDhQpBwIUi4ECRcCBIuBAkXgoQLQcKFIOFCkHAh6O63P+BfsPLpjDHGeHx8XLq3ysqnVQ6Hw7KtMcb4+PhYuneNGxeChAtBwoUg4UKQcCFIuBAkXAgSLgQJF4KEC0HChSDhQpBwIUi4ECRcCBIuBAkXgoQLQcKFIOFCkHAhSLgQJFwIEi4ECReChAtB25zz+4e37fuH+e88PT0t23p+fl62NcYYx+Nx2dacc7t2xo0LQcKFIOFCkHAhSLgQJFwIEi4ECReChAtBwoUg4UKQcCFIuBAkXAgSLgQJF4KEC0HChSDhQpBwIUi4ECRcCBIuBAkXgoQLQcKFoLvf/oB/wW63W7p3OByW7q2y3++Xba187mSMMR4eHpbuXePGhSDhQpBwIUi4ECRcCBIuBAkXgoQLQcKFIOFCkHAhSLgQJFwIEi4ECReChAtBwoUg4UKQcCFIuBAkXAgSLgQJF4KEC0HChSDhQpBwIcjbQWOM0+m0dO/l5WXp3iqfn5/Ltt7e3pZtjTHG5XJZuneNGxeChAtBwoUg4UKQcCFIuBAkXAgSLgQJF4KEC0HChSDhQpBwIUi4ECRcCBIuBAkXgoQLQcKFIOFCkHAhSLgQJFwIEi4ECReChAtB25zzt78B+CE3LgQJF4KEC0HChSDhQpBwIUi4ECRcCBIuBAkXgv4CvG5Ps9EhO64AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(n_images):\n",
    "    fig, ax=plt.subplots(1)\n",
    "    plt.imshow(images[i,:,:],'gray')\n",
    "    plt.axis('off')\n",
    "    ax.get_xaxis().set_visible(False) # this removes the ticks and numbers for x axis\n",
    "    ax.get_yaxis().set_visible(False) # this removes the ticks and numbers for y axis\n",
    "    plt.savefig(stimdir + '/' + imprefix + '_' + str(i+1) + '.jpg',bbox_inches='tight',pad_inches=0)\n",
    "    plt.close"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}