diff --git a/LEACH/leach.ipynb b/LEACH/leach.ipynb
index f8d1a26..a7d5d11 100644
--- a/LEACH/leach.ipynb
+++ b/LEACH/leach.ipynb
@@ -38,7 +38,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -174,15 +174,15 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [
     {
      "output_type": "display_data",
      "data": {
-      "image/png": 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ZD/SkSYPaDic15j9EJEVVk8pcZ0Xv2RamZjPq4xX0a9uI9+7sgo9PWfvGTUUoGZ7ZwydLdrJlXw5htf0Z3rUJd3VvSlS9WgCk7svhtg+WEhzkx/T7e9I4NMjh1MaUsKKv5j5atIM/zdrIY9ck8EQ/25dd0dIPneTTZbv4YmU6R3MLaBsZwqhecQzpGEWQv+9Z269JP8Kd45cTGRrEF/f3oH6dAAdSG/Nr5yt6GwuoBu7tFcfmrGO8MX8rrRoHc12HSKcjVXuqytJtB/l4yU7mu4ZnBrZrzKhecSQ1DUPk3L85dYytx/iRSYycsIKRE1Yw+bfdCA7yr8L0xpSPfaKvJvIKixg+bhmbsnKY8WAP2kWFOh2pWjqZX/jv4ZnUfccJq+3PHd2acGe3/wzPuGvB5n2MmZRC56ZhfHJPV2oFnP3p35iqYkM3XmJ/zimGvr0YHxG+HtuL8LqBTkeqNtIPnWTS0p18sTKdY6cKaRcVwqiecdxwjuEZd32zJpNHp66ib8sIxo1IIsDPLghrnGFF70XWZRzl1veX0DGmHp+N7mbFch6qypJtB/l48U7mb96HjwgD2zdmVM8LD8+Ux5QVu3nuy3VcnxjJm7d3wtd2mBsH2Bi9F+kQE8ortyby2NTVPD9zPX++qUOFFZa3OJlfyJe/lAzPbN1/nPp1Anj4yhbc2b0JkaHlG55xx/CuTcg5VcCfZ28mONCPl262fxPjWazoq6Ghl0WzZW8O7/64jTaRIdzdI87pSB5h98GS4Zlpyf8Znnn11sRLHp5xx5g+zck5VchbC9KoG+jHH65vY2VvPIYVfTX1dP9WpO7L4Y/fbKRFRF16tgh3OpIjVJXFaQeZuGQH8zfvx0eEQa7hmS4VODzjjif7tSTnVCHjF+0gpJY/j16TUGXvbcz5WNFXUz4+wuu/uYyb313CQ5N/YebDV9SoMzVP5BXy5ao9THINzzSoE8DYq1pwZ7emjp3EJCL8z+C25Jwq5LV5qdQN9OPeK+IdyWJMaVb01VhwkD8f3p3E0HcWM3rSSr58qBd1vfwyCbsOnmDS0l1MS04n51QhHaJD+duwjlyfGFnpwzPu8PER/nJLB47nFfDirI0EB/kxLCn2wk80phLZUTdeYHHaAe6esIKrWzfkg7u87zIJqsqitAN8smQn8zfvx1eEQR0iGdUzjs5N6nnkWHheYRGjP0lmcdoB3rmjM4PsJDdTyezwyhpg4uIdvPDNRh65ugVP9W/ldJwKcSKvkC9/yeCTpbtIcw3P3NmtCXd2b0qjEM+/xszJ/EJGfLSCtRlHGD/ycvq2rLmT6pjKZ4dX1gAje8axKSuHtxak0bJRMDd0jHI60kXbceAEny7dxfTkdHLySoZnXrutZHgm0M/54Rl31Q7wY8Koyxk+bhn3f5rMp/d14/K4+k7HMjWQfaL3InmFRdz54XLWZx5lxgM9aR9dfS6TkHH4JN+uzeLbdVmszTiKn49wXYdIRnrw8Iy7DhzP47b3l5Kdk8eUMd2r1b+LqT5s6KYGyc7JY+jbiwD4euwVRAR77mUSMo/kMntdFrPWZrE6/QgAiTGhDE6MZOhl0dVieMZdmUdyGfb+UnILiph2fw9aNKzrdCTjZazoa5j1e0ouk9AuKpTJv+3mUcMd+46d+ne5p+w6DEC7qBCuT4xkcIcorz5EdMeBEwx7fyl+PsL0B3oQW997v1ZT9azoa6BZazMZO3kVv0mK5eVbnD0lPzsnj3+tLyn3lTsPoQqtGwczODGS6zpE0iyi5ny63ZR1jN98sJT6dQKY9kAPGgZ7z28txlm2M7YGGpwYxZa9JTtn20QGM6pX1Z64c/B4HnM27GXWmiyW7zhIsUJCw7o8fk1Lrk9sTIuGwVWax1O0iQxh4r1duWv8ckaMX8EX93enXm2buMRULrc+0YvIQOANwBcYr6ovn7G+CfAJUM+1zbOqOtu17jngPqAIeFRV557vvewTfcUpLlbu/yyFBZv388k9XbkioXIvk3D4RD5zN+zl23VZLNl2kKJipVl4HQYnRjK4YxQtG9XMci/Loq0HuHfiStpEhfD56G5ef6KbqXyXNHQjIr5AKtAPyABWAsNVdWOpbcYBq1T1PRFpC8xW1TjX/SlAVyAK+B5oqapF53o/K/qKdTyvkJvfXcy+Y3l8/XAv4sLrVOjrHz1ZwHcb9zJrbRaL0w5QWKw0bVCbwYmRXN8hijaRwdX6iJnK9N2GvTz4+S90i6/PhFGXe8SZvab6utShm65Amqpud73YVGAosLHUNgqEuO6HApmu+0OBqaqaB+wQkTTX6y0t91dhLkrdQD/G3305Q95ZxOhJyXz1UM9LnvYu51QB8zbu49u1WSzcmk1BkRITVov7esdzQ2IU7aJCrNzd0L9dY/46LJEnvljD2Mm/8N5dXfD3tfkFTMVzp+ijgfRSjzOAbmds8wLwnYg8AtQBri313GVnPDf6opKai9akQW3evbMzIz5aweNTVzPu7qRyT45xPK+Q+Zv2MWttFj+lZpNfWExUaBCjesYxODGKxJhQK/eLcFOnGI6fKuS/v97A09PX8Pptl3ndJSyM89wp+rK+684c7xkOTFTVv4lID+BTEWnv5nMRkTHAGIAmTZq4EcmUV8/m4Tx/Q1v+5+sN/O27LTwzsPUFn3Myv5AFm/fz7dosFmzeT15hMY1DgrirW1OuT4ykU2w9K6UKMKJHHMdOFfLq3C3UDfTjf29sbz80TYVyp+gzgNKX34vhP0Mzp90HDARQ1aUiEgSEu/lcVHUcMA5KxujdDW/KZ0T3pmzKKpmwpFXjYIZedvYvV6cKivhxy36+WZvFgk37yS0oIiI4kNsvj2Vwxyi6NAmzcq8ED13ZnGOnCvjgp+0EB/nz7KAL/yA2xl3uFP1KIEFE4oE9wO3AHWdssxu4BpgoIm2AICAbmAlMFpHXKNkZmwCsqKDsppxEhD8Oace2/cd5ZsZa4sPrkBhTj1MFRSxMzWbW2izmb9rHifwiGtQJ4JYu0VzfIYqu8fVtHtRKJiI8O7A1x08V8v5P2wip5cdDV7ZwOpbxEhcselUtFJGxwFxKDp2coKobRORFIFlVZwJPAR+KyBOUDM2M0pLDeTaIyDRKdtwWAg+f74gbU/kC/Hx4767ODHl7MWMmpdCzeQPmbdxHTl4hYbX9GXJZNIMTI+kWXx8/2zFYpUSEPw1tz/G8Ql6Zs4XgQD9G2DSRpgLYmbE11MbMY9z6/hL8fX0Y0K4RgxOj6NG8gR314QEKiop58LMUvt+0n9d/05GbOsU4HclUA3YJBFOmwyfyqRPoR4CflbunOVVQxD0fr2TFzkO8d2dn+rdr7HQk4+HOV/T2P7wGC6sTYCXvoYL8fflwZBLto0MZO3kVi9MOOB3JVGP2v9wYD1U30I9P7rmc+PA6/HZS8r+v9mlMeVnRG+PB6tUO4NP7uhIRHMg9H69gU9YxpyOZasiK3hgP1zAkiM/u60btAD9GfLSCHQdOOB3JVDNW9MZUA7H1a/PZ6G4Uq3LX+OXsOZLrdCRTjVjRG1NNtGhYl0n3duVYbgEjxi/nwPE8pyOZasKK3phqpH10KBPuuZzMo7nc/dEKjuYWOB3JVANW9MZUM5fH1ef9u7qwdX8O905cycn8QqcjGQ9nRW9MNXRlq4a8cXsnVu0+zP2fppBXaFcWMedmRW9MNXVdh0heviWRn7ceYMT4Few6aEfjmLJZ0RtTjd2WFMtrt3VkY9YxBv79ZyYs2kFxsWdd1sQ4z4remGru5s4xfPdEH7rG1+fFWRu57YOlbM8+7nQs40Gs6I3xAlH1ajHxnst59dZEUvflMOiNnxm3cBtF9uneYEVvjNcQEYYlxTLvyb70Tgjnz7M3c8t7S9i6L8fpaMZhVvTGeJlGIUF8eHcSb9x+GTsPnuD6Nxfxzg9pFBYVOx3NOMSK3hgvJCIMvSyaeU/05Zo2DXl17hZuencJm/faRdFqIit6Y7xYRHAg793VhXfu6EzmkVxueGsRb3y/lQL7dF+jWNEbUwNcnxjJd0/0YWD7SF7/PpUhby9m/Z6jTscyVcSK3pgaokHdQN4a3okPRnQhOyePoe8s5q9zt9hZtTWAW0UvIgNFZIuIpInIs2Wsf11EVrtuqSJypNS6olLrZlZkeGNM+Q1o15jvn+zD0I5RvP1DGje8tYg16Ucu/ERTbV1wcnAR8QVSgX5ABrASGK6qG8+x/SNAJ1W91/X4uKrWdTeQTQ5uTNVZsHkfz325juycPMb0ac7j1yYQ5O/rdCxzES51cvCuQJqqblfVfGAqMPQ82w8HppQ/pjGmql3duhHfPdGXYV1ief+nbVz/5s82N60Xcqfoo4H0Uo8zXMvOIiJNgXhgQanFQSKSLCLLROTGczxvjGub5OzsbDejG2MqQmgtf/5yayKT7u3KqYJibn1/Cf87ayO5+TZ27y3cKXopY9m5xntuB2aoaunvkCauXyfuAP4uIs3PejHVcaqapKpJERERbkQyxlS0Pi0jmPN4b+7o2oTxi3Yw6I2FLN9+0OlYpgK4U/QZQGypxzFA5jm2vZ0zhm1UNdP153bgR6BTuVMaY6pEcJA//3dTByaP7kaRKr8Zt4znv17PiTyb3KQ6c6foVwIJIhIvIgGUlPlZR8+ISCsgDFhaalmYiAS67ocDvYAyd+IaYzxHzxbhzHmsD6N6xvHJ0l0MfGMhS9IOOB3LXKQLFr2qFgJjgbnAJmCaqm4QkRdFZEipTYcDU/XXh/G0AZJFZA3wA/DyuY7WMcZ4ljqBfrwwpB3T7u+Brwh3jF/O779aR84pm6e2urng4ZVVzQ6vNMbz5OYX8dq8LYxftIPIkCBeuiWRvi1tf5onudTDK40xNVytAF/+cH1bZjzQk1oBvoycsIJnZqzhaK59uq8OrOiNMW7r0jSMbx/tzQN9mzMjJYP+r//Egs37nI5lLsCK3hhTLkH+vjw7qDVfPdSL0Fr+3DsxmSe/WM2Rk/lORzPnYEVvjLkoHWPr8c0jV/DI1S34ek0m/V5fyNwNe52OZcpgRW+MuWiBfr481b8VXz/ci/C6gdz/aQqPTFnFoRP26d6TWNEbYy5Z++hQZo7txZP9WjJnfRb9XvuJb9dmOR3LuFjRG2MqhL+vD49ek8A3j1xBVL1aPDz5F8ZO/sWOu/cAVvTGmArVunEIXz3Uk6f7t+Rf6/dyw1uL2JBps1k5yYreGFPh/Hx9GHt1AlN+253cgiJuencJny/fhaedoFlTWNEbYypN1/j6zH60N92bNeAPX63nsamrOW4XSKtyVvTGmErVoG4gE0ddztP9WzJrbSZD3lrEpqxjTseqUazojTGVzsdHGHt1Ap+P7k5OXiE3vrOYqSt221BOFbGiN8ZUmR7NGzD70d4kxYXx7JfreHLaGrvWfRWwojfGVKmI4EAm3duNJ65tyT9X72HI24vYsjfH6VhezYreGFPlfH2Ex65N4PP7unE0t5Ch7yxienL6hZ9oLooVvTHGMT1bhDP7sSvoFBvG72as5alpaziZb0M5Fc2K3hjjqIbBQXw2uhuPXpPAl6syGPr2YtL221BORbKiN8Y4ztdHeLJfSybd25VDJ/K54a3FfPlLhtOxvIYVvTHGY/ROiGD2Y73pEBPKk9PW8F8z1nKqoMjpWNWeW0UvIgNFZIuIpInIs2Wsf11EVrtuqSJypNS6kSKy1XUbWZHhjTHep1FIEJNHd2PsVS34IjmdG99ZzLbs407HqtYuODm4iPgCqUA/IANYCQxX1Y3n2P4RoJOq3isi9YFkIAlQIAXooqqHz/V+Njm4Mea0H7fs54kvVpNXWMxLN3dg6GXRTkfyWJc6OXhXIE1Vt6tqPjAVGHqe7YcDU1z3BwDzVPWQq9znAQPdj26MqcmubNWQ2Y/1pm1kCI9NXc1zX66zoZyL4E7RRwOlD3DNcC07i4g0BeKBBeV5roiMEZFkEUnOzs52J7cxpoaIDK3FlDHdeaBvc6as2M1N7y5hx4ETTseqVtwpeilj2bnGe24HZqjq6R+5bj1XVcepapKqJkVERLgRyRhTk/j7+vDsoNZMGJVE1tFcbnhrEbPWZjodq9pwp+gzgNhSj2OAc/0N385/hm3K+1xjjDmvq1s34ttHe+/QkfkAAAm5SURBVNOyUV3GTl7Ff/9zvQ3luMGdol8JJIhIvIgEUFLmM8/cSERaAWHA0lKL5wL9RSRMRMKA/q5lxhhzUaLr1eKL+3swpk8zPl22i1vfX8KugzaUcz4XLHpVLQTGUlLQm4BpqrpBRF4UkSGlNh0OTNVSh/Go6iHgT5T8sFgJvOhaZowxF83f14ffX9eG8XcnkX4ol8FvLuJf62wy8nO54OGVVc0OrzTGlEfG4ZM8PHkVa9KPMKpnHM9d15pAP1+nY1W5Sz280hhjPFZMWG2m39+D+66IZ+KSnQx7fynph046HcujWNEbY6q9AD8f/ntwWz4Y0YUdB05w3Zs/M2f9XqdjeQwremOM1xjQrjGzH+1NfHgdHvgshRe/2Uh+YbHTsRxnRW+M8Sqx9Wsz/YEejOoZx4TFO7jtg6VkHK7ZQzlW9MYYrxPo58sLQ9rx7p2d2bb/ONe/uYjvN+5zOpZjrOiNMV7rug6RzHr0CmLr12L0pGT+PHsTBUU1byjHit4Y49WaNqjDjAd6MqJ7U8Yt3M5vPqh5R+VY0RtjvF6Qvy9/urE9bw3vROq+4/R99QfunrCCb9Zk1ohLKPg5HcAYY6rKDR2j6NI0jKkrdjMjJYNHpqwitJY/QzpGMSwphg7RoYiUdS3G6s3OjDXG1EhFxcrSbQeZnpLOnPV7ySssplWjYIYlxXBjp2jC6wY6HbFczndmrBW9MabGO5pbwKy1mUxPzmB1+hH8fISrWjdkWJcYrmrdEH9fzx/ltqI3xhg3bd2Xw4yUDL5ctYfsnDwa1Angxk7RDEuKoXXjEKfjnZMVvTHGlFNhUTE/pWYzPTmD+Zv3UVCkdIgOZVhSDEM6RlGvdoDTEX/Fit4YYy7BoRP5fL16D9OTM9iYdYwAXx/6tWvEsC4x9E6IwNfH+R24VvTGGFNBNmQeZXpyBl+v3sPhkwU0Dgni5s7R3NolhmYRdR3LZUVvjDEVLK+wiAWb9jM9JYMft+ynWKFL0zCGdYnh+sRIgoP8qzSPFb0xxlSi/cdO8eWqPUxPTmdb9glq+fsyqH1jbk2KoXt8A3yqYGjHit4YY6qAqrI6/QjTUzL4ZnUmOXmFxNavxS2dY7ilcwyx9WtX2ntb0RtjTBU7VVDE3A17mZ6cweJtB1CFHs0aMCwphkHtI6kVULHTHV5y0YvIQOANwBcYr6ovl7HNbcALgAJrVPUO1/IiYJ1rs92qOuTM55ZmRW+M8TZ7juTyj5QMZqRksPvQSeoG+jE4MZJhSTF0bhJWIZdduKSiFxFfIBXoB2QAK4Hhqrqx1DYJwDTgalU9LCINVXW/a91xVXV7V7QVvTHGWxUXKyt2HmJ6cgaz12WRW1BEs4g63NqlZGinUUjQRb/2pRZ9D+AFVR3gevwcgKq+VGqbV4BUVR1fxvOt6I0x5gzH8wqZvS6LGckZrNh5CB+BQR0ieeeOzhf1eucreneuXhkNpJd6nAF0O2Oblq43WkzJ8M4LqjrHtS5IRJKBQuBlVf1necIbY4w3qhvox21JsdyWFMvOAyeYkZKBUjn7TN0p+rIGj85M4wckAFcCMcDPItJeVY8ATVQ1U0SaAQtEZJ2qbvvVG4iMAcYANGnSpJxfgjHGVG9x4XV4ekCrSnt9dy7JlgHElnocA2SWsc3XqlqgqjuALZQUP6qa6fpzO/Aj0OnMN1DVcaqapKpJERER5f4ijDHGnJs7Rb8SSBCReBEJAG4HZp6xzT+BqwBEJJySoZztIhImIoGllvcCNmKMMabKXHDoRlULRWQsMJeS8fcJqrpBRF4EklV1pmtdfxHZCBQBv1PVgyLSE/hARIop+aHycumjdYwxxlQ+O2HKGGO8wPmOuvH8aVOMMcZcEit6Y4zxclb0xhjj5azojTHGy3nczlgRyQZ2XcJLhAMHKihORbJc5WO5ysdylY835mqqqmWeiORxRX+pRCT5XHuenWS5ysdylY/lKp+alsuGbowxxstZ0RtjjJfzxqIf53SAc7Bc5WO5ysdylU+NyuV1Y/TGGGN+zRs/0RtjjCnFit4YY7yc1xS9iEwQkf0ist7pLKeJSKyI/CAim0Rkg4g85nQmABEJEpEVIrLGleuPTmcqTUR8RWSViMxyOstpIrJTRNaJyGrXjGkeQUTqicgMEdns+j7r4XQmABFp5fq7On07JiKPe0CuJ1zf8+tFZIqIXPwkrRVIRB5zZdpQGX9PXjNGLyJ9gOPAJFVt73QeABGJBCJV9RcRCQZSgBudvlSzlEw5X0dVj4uIP7AIeExVlzmZ6zQReRJIAkJUdbDTeaCk6IEkVfWok2xE5BPgZ1Ud75ovorZrZjePISK+wB6gm6peysmQl5ojmpLv9baqmisi04DZqjrRqUyuXO2BqUBXIB+YAzyoqlsr6j285hO9qi4EDjmdozRVzVLVX1z3c4BNlMzB6ygtcdz10N9184if+CISA1wPnDXRvPk1EQkB+gAfAahqvqeVvMs1wDYnS74UP6CWiPgBtTl7tjwntAGWqepJVS0EfgJuqsg38Jqi93QiEkfJNIrLnU1SwjU8shrYD8xTVY/IBfwdeAYodjrIGRT4TkRSXHMce4JmQDbwsWuoa7yI1HE6VBluB6Y4HUJV9wB/BXYDWcBRVf3O2VQArAf6iEgDEakNXMevp2+9ZFb0VUBE6gL/AB5X1WNO5wFQ1SJVvYySOYC7un59dJSIDAb2q2qK01nK0EtVOwODgIddQ4VO8wM6A++paifgBPCss5F+zTWcNASY7gFZwoChQDwQBdQRkbucTQWqugn4CzCPkmGbNUBhRb6HFX0lc42B/wP4XFW/dDrPmVy/6v8IDHQ4CpTMKTzENR4+FbhaRD5zNlKJUpPc7we+omQ81WkZQEap38ZmUFL8nmQQ8Iuq7nM6CHAtsENVs1W1APgS6OlwJgBU9SNV7ayqfSgZgq6w8Xmwoq9Urp2eHwGbVPU1p/OcJiIRIlLPdb8WJf8BNjubClT1OVWNUdU4Sn7dX6Cqjn/iEpE6rp3puIZG+lPy67ajVHUvkC4irVyLrgE8bU7m4XjAsI3LbqC7iNR2/d+8hpL9Zo4TkYauP5sAN1PBf2cXnBy8uhCRKcCVQLiIZADPq+pHzqaiFzACWOcaDwf4varOdjATQCTwietoCB9gmqp6zKGMHqgR8FVJN+AHTFbVOc5G+rdHgM9dQyTbgXsczvNvrvHmfsD9TmcBUNXlIjID+IWSoZFVeM6lEP4hIg2AAuBhVT1ckS/uNYdXGmOMKZsN3RhjjJezojfGGC9nRW+MMV7Oit4YY7ycFb0xxng5K3pjjPFyVvTGGOPl/j86kArbG74RmgAAAABJRU5ErkJggg==\n",
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W2OtIxphKoMACISKPqOqzIjKawNN93hvUZOYUjw5oy7qdh3j8sxW0SKhBt2a1vY5kjKngCmtiOtmekQakB1hMGQoPE14a2plGtapx57vpZOw74nUkY0wFV1iBuMb5WVNV38q/lEU4c6q4qpG8cVMqx/NOcNvb6TaPtTEmqAorEF1FpAlwizM3dG3/pawCmlO1SKjB6KGdWbvjIA9PWmpPWhtjgqawAjEGmAG04ffNS+Vzbs8K4tzWdXlsQFumL9/B6K/Xex3HGFNBFVYgpqpqW2C8qjZX1WZ+S3M3JxeR/iKyVkTWi8ijAbY3FpFvRGSxiCwTkYud9U1F5KiILHGWMSX7ehXXiN7NuKJLQ16YtY4ZK3Z4HccYUwEVViAmOz9bleTEIhIOvAIMANoBQ0WkXb7d/geYqKqd8XWlfdVv2wZV7eQsd5QkQ0UmIvzt8g50alSTBycuYc0OG2DXGFO6CisQYSLyBNBKRB7Mv7g4dzdgvapuVNXjwIfA4Hz7KHByZNg4YFtxv0BlFh0ZzuvDuhITHcGIt9LYa8NxGGNKUWEF4lrgGL5nJWICLEVpCGzxe5/hrPP3JHCDiGQA04F7/LY1c5qevhOR3oE+QERGikiaiKRlZma6iFTx1IuNZuywVHZlZXPnu+k2HIcxptQU+KCcqq4F/i4iy1T1vyU4twQ6bb73Q4EJqvq8iPQE3hGR9sB2oLGq7hGRrsB/ROQMVT2lHUVVxwJjAVJTUyttd56OjWry7JUp3P/REv4ydSX/e1kHryMZYyoAN2MxLRKRN0XkvwAi0k5EbnVxXAbQyO99Er9vQroVmAigqvOBaCBeVbNVdY+zPh3YQAnvhVQWl3VuyO3nNOfdH37h3R9+9jqOMaYCcFMgJgAzgQbO+3XA/S6OWwgki0gzEamCr8lqSr59fgEuABCRtvgKRKaIJDg3uRGR5kAyNoJskR7p14bzWifw5JSV/LBxj9dxDHD0eB6fLs5g3U6b08OUP24KRLyqTgROAKhqLpBX1EHOfqPwFZfV+HorrRSRp0RkkLPbQ8BtIrIU+AAY7sw90QdY5qyfDNyhqnuL+d0qnfAw4cWhnWlSxzccx5a9NhyHV7bsPcLT01fT4+mveOCjpVz9+nwrEqbckaKexBWRb4ErgVmq2kVEegB/V9VzyiCfa6mpqZqWZs/vAWzafZjBL8+hQc2qfHxnL6pH2fxOZUFVmb9xDxPmbubL1TsREfqdUY+BKQ14cspKACbf0YvGdap5nNSY34hIuqqmBtzmokB0AUYD7YEVQAJwlaouK+2gp8MKxKlmr8tk+L8XcFG7erx2fVfCwgL1GTClwdeMtJW35m1m7c4salWLZGi3xtzQowkNalYFYN3OLK5+fT4x0RFMur0X9eOiPU5tjM9pFQjnBBFAa3w9k9aqak7pRjx9ViB+7805m/jrtFXcd0EyD1xk9/hL25a9R3jnh5/5aOEWDhzNoV1iLMPPasqgjg2Ijgz/3f5Lt+zn+nE/khgXzUe396R29SoepDbmVIUViCLbHkQkErgT330BgG9F5PVQLBLmVLec1ZQ12w/y4lc/0bp+DBd3SPQ6UrmnqszfsId/z9vMV04zUv8z6jP8rKakNqmFSMFXah0b1WTcTancNH4BN41fwPu3dScmOrIM0xtTPG6amMYBkcDJIb6HAXmqOiLI2YrFriACy87NY+jYH1i9PYvJd/bkjAZxXkcql44cz/21GWndzkPUqhbJdd0bc33335qR3Pp6zU5Gvp1Olya1eOvmblSt8vurDWPKyuneg1iqqh2LWuc1KxAF25V1jMEvzyVMhM9GnUV8jSivI5UbW/Ye4e35m/lo4RYOHsvljAaxDO/VlEsLaEZya+rSbdz74WLOaZXA2GGpVIlw06HQmNJ3Wk1MQJ6ItFDVDc7JmuOim6sJHXVjfMNxXDVmHne9u4h3R3S3X0iFUFXmbdjDv+du5qs1OwkToX/7+gzvVXQzkluXdmzAoexcHvtkOQ9MXMJL13Ym3DoSmBDjpkD8AfhGRDbiu0ndBLg5qKlMqeuQFMezV6Vw34dLeGLKCv52eYdS+UVXkRw5nssni3zNSD/tOkTt6lW4+9yWXN+jMYlxxWtGcmNot8ZkHcvhb9PXEBMVwdNX2L8TE1qKLBCq+pWIJPNbL6Y1qpod9GSm1A3u1JC1O7J49dsNtE2M5caeTb2OFBJ+2eNrRpqY9lsz0nNXpZx2M5IbI/u0IOtYLqO/Xk+NqAj+fElbKxImZLjpxXQ38N7J5x6c6UdvVdVXizjUhKCH+7Zm3c4s/jJ1FS0TatCrZbzXkTyhqsxdv4cJ8zbx1ZpdhIkwwGlG6lpKzUhuPXhRK7KO5TJuziZiq0Zy7wXJZfbZxhTGzU3qJaraKd+6xc4kPyHDblK7l3UshytenUfmoWym3H12pXqy93B2Lp8s3srbTjNSnepVfu2N5OXDaydOKH+YvIyPF2Xw+MB23HJ2M8+ymMrldG9Sh4mIOGMknZwpzp7wKcdioiN548ZUBr8ylxFvL+STu86iRgUfjuPnPYd5e/7PTEzbQtaxXDo0jOP5IR25JCUx6M1IboSFCX+/sgOHsnN4atoqYqIjGJLaqOgDjQkiN78VZgITnXmhFbgDmBHUVCbomsZX59Xru3Dj+AU88NESXr+h4g3HoarMWb+bt+Zt5qs1uwgXYUCHRIb3akqXxjVDrq0/IjyMl4Z2ZsRbafzx42XUiIpggD3caDzkpokpDBgJXIjvJvUXwDhVDamurtbEVDIT5m7iyamruOf8ljzUt7XXcUrF4excPlmUwVvzf2a904x0fffGXN+jCfViQ38MpCPHcxn25gKWZexn3E1nck6rBK8jmQrstMdiKg+sQJSMqvLox8v5KG0Lo4d25tKODYo+KERt2n2Yd+b/zKS0LWRl+5qRbj6rKZekJBIV4X0zUnEcOJrD0LE/sHH3Id65tTtnNq3tdSRTQVmBMIXKzs3j+jd+ZMW2A0y+oxftG5af4Tgy9h3h82Xb+Xz5dpZlHCAiTLi4QyI3hWgzUnHsPpTN1WPmk5mVzQcje5Srfy+m/LACYYqUmZXN4JfnAPDZqLNJiAnd4Ti27T/K9OXbmbZsO0u27AcgJSmOgSmJDO7UsFw0I7m1bf9RhoyZz9GcPCbe3pOWdWt4HclUMFYgjCsrth7gqjHzOKNBHO/f1j2kmmV2Hjz2a1FI/3kfAGc0iOWSlEQGdmhQobvqbtp9mCFj5hMRJky6oyeNalfc72rK3ukO1tcK33AbTfDr9aSq55dmyNNlBaJ0TFu2jVHvL+aa1EY8c6W3Qz9kZmXz3xW+orBw815UoU39GAamJHJxh0SaJ1Sev6ZXbz/INa/Pp3b1Kky8oyd1YyrOVZLx1uk+BzEJGAO8gQ3SV+ENTGnA2h1ZjP56PW0TYxh+Vtk+sLXnUDYzVu5g2tLt/LhpDycUkuvW4P4LWnFJSn1a1o0p0zyhom1iLBNu6cYN435k2LgFfHR7D2pWs8eRTHC5uYJIV9WuJTq5SH/gRSAcX9fYZ/Jtb4xvnomazj6Pqup0Z9tjwK34itK9qjqzsM+yK4jSc+KEcvu76Xy9Zhdv3dyNs5ODOxzHvsPHmblyB58v3868DXvIO6E0j6/OwJREBnZsQKt6lbMoBDLnp93cMmEhbRvE8t6I7hX+AUcTfKfbxPQksAv4FPh1kD5V3VvEceHAOuAiIANYCAxV1VV++4wFFqvqayLSDpiuqk2d1x8A3YAGwJdAq8KevbACUboOZedyxatz2Xkwm8/uPoum8dVL9fwHjuTwxaodTFu2nbnrd5N7QmlSpxoDUxK5pEMD2ibGlOseSMH0xcod3PneIro3q8344WeGxJPgpvw63Samm5yff/Bbp0DzIo7rBqxX1Y1OiA+BwcAqv30UiHVexwHbnNeDgQ+dUWM3ich653zzXeQ1paBGVATjbjyTQa/MYcTbaXx6V6/Tnh4z61gOs1bt5PNl25n9UyY5eUpSrarc2rsZl6Y04IwGsVYUXOh7Rn3+MSSFBz5ayqj3F/HaDV2JDLf5PUzpczPcd0kboRsCW/zeZwDd8+3zJPCFiNwDVMf3tPbJY3/Id2zDEuYwJdS4TjVevb4Lw95cwP0fLmHsjanFntTmUHYuX63eybRl2/luXSbHc0/QIC6a4b2aMjClASlJcVYUSuDyzkkcOpbL//tsJQ9PWso/r+5U4YZKMd5zM9x3JHAn0MdZ9S3wuqrmFHVogHX527OGAhNU9XkR6Qm8IyLtXR6LiIzENwwIjRs3LiKOKYleLeJ54tJ2PP7ZSp7/Yi2P9G9T5DFHjufy9ZpdfL5sO1+v2UV27gnqx0ZzQ/cmXJKSSOdGNe2XWSkY1rMpB4/l8tzMtdSIiuB/L2tvxdaUKjdNTK8BkcDJ+R+GOetGFHFcBuA/HGUSvzUhnXQr0B9AVeeLSDQQ7/JYVHUsMBZ89yBcfBdTAsN6NGH1dt9EQ63rxzC40+8v5o7l5PHt2l1MXbadr1fv4mhOHgkxUVx7ZiMGdmxA18a1rCgEwV3ntuDgsRxe/24jMdGRPDqg6AJujFtuCsSZqtrR7/3XIrLUxXELgWQRaQZsBa4Frsu3zy/ABcAEEWkLRAOZwBTgfRF5Ad9N6mRggYvPNEEgIvxl0Bls2HWIRyYvo1l8dVKSanIsJ4/Z6zKZtmw7X63eyeHjedSpXoUruzbkkg4N6Nasts2zHGQiwqP923DoWC5jvttAbNUI7jq3pdexTAXhpkDkiUgLVd0AICLNcfE8hKrmisgofMOFhwPjVXWliDwFpKnqFOAh4A0ReQBfE9JwZ96JlSIyEd8N7Vzg7lAbPbayqRIRxms3dGHQy3MZ+XY6vVrUYdaqnWRl51KrWiSDOjVkYEoi3ZvVJsJumJYpEeGvg9tzKDuXZ2esJSYqgmE2nawpBW66uV4A/BvYiO/eQBPgZlX9Jvjx3LNurmVj1baDXDVmHpHhYfQ7ox4DUxrQs0Ud60UTAnLyTnDnu+l8uXoX/7ymI5d3TvI6kikHTnssJhGJAlrjKxBrnO6nIcUKRNnZd/g41aMiqBJhRSHUHMvJ4+Z/L2TB5r28dn0X+p5R3+tIJsQVViAK/D9cRM53fl4BXAK0BFoAlzjrTCVVq3oVKw4hKjoynDduSqV9wzhGvb+Yuet3ex3JlGOF/V9+jvPz0gDLwCDnMsaUUI2oCN66+UyaxVfntrfTfh391pjicnMPopmqbipqndesicmYU+06eIwhr89n3+HjfHR7T9omxhZ9kKl0StTE5OfjAOsmn14kY0yw1Y2N5t1bu1OtSgTD3lzApt2HvY5kypnC7kG0EZErgTgRucJvGY7veQVjTIhrVLsa747ozglVbhj3I1v3H/U6kilHCruCaI3vXkNNTr3/0AW4LfjRjDGloWXdGrx9SzcOHs1h2Lgf2X0o5DohmhDl5h5ET1UN+VFU7R6EMYVbuHkvw978kebxNfhgZA/iqp7e6LymYihpN9dHnJfXichL+ZegJDXGBM2ZTWsz5oau/LQri1smLOTI8VyvI5kQV1gT02rnZxqQHmAxxpQz57auy4vXdmbxL/u4/Z10snNtBBtTsAILhKpOdV4eUdW3/BfgSNnEM8aUtos7JPLMlSl8/9Nuho1bwM97rHeTCcxNN9fHXK4zxpQTV6c24oWrO7Jq+0H6/+t7xs/ZxIkTNmK+OVWBo7mKyADgYqBhvnsOsfhGWDXGlGNXdEmiR/M6PPbJcp6atorpy7fz7FUpNE+o4XU0EyIKu4LYhu/+wzFOvfcwBegX/GjGmGBrULMqE24+k+euSmHdziwGvPg9Y2dvIM+uJgxFdHMVkXDgbVW9vuwilYx1czXm9Ow8eIw/f7qcL1fvolOjmjx3VQrJ9WK8jmWCrMRDbTiT9NQRkSpBSWaMCRn1YqN548ZUXry2E5v3HOaSl+bwyjfryc074XU04xE3M8r9DMwVkSnAr90dVPWFoKUyxnhCRBjcqSG9WsTz+GcreG7mWmas2MFzQ1JoU98G+6ts3PRi2gZMc/aN8VuMMRVUQkwUr93QlVeu68K2/Ue5dPQcXvzyJ3LsaqJScTWjXHlg9yCMCY49h7J5cuoqpi7dRkbLK94AABViSURBVNvEWJ67KoX2DeO8jmVKyWkN9y0iCSLynIhMF5GvTy6lH9MYE4rq1Ihi9NDOvD6sK5lZ2Qx+ZS7/mLnWnsKuBNw0Mb0HrAGaAX8BNgML3ZxcRPqLyFoRWS8ijwbY/k8RWeIs60Rkv9+2PL9tU1x9G2NM0PQ7oz5fPtiHwR0b8PI367l09ByWbtlf9IGm3HIzmmu6qnYVkWWqmuKs+05VzyniuHBgHXARkIGvqAxV1VUF7H8P0FlVb3HeH1JV10/sWBOTMWXn6zU7eeyT5WRmZTOyTwvuvzCZ6Mhwr2OZEjjdGeVynJ/bReQSEekMJLk4rhuwXlU3qupx4ENgcCH7DwU+cHFeY4zHzm9Tjy8eOIchXRsx5rsNXPLS9zb3dQXkpkD8r4jEAQ8BDwPjgAdcHNcQ2OL3PsNZ9zsi0gRfE5b/vY1oEUkTkR9E5LICjhvp7JOWmZnpIpIxprTEVY3k71el8PYt3TiWc4Krxszjf6et4uhxuzdRURRZIFR1mqoeUNUVqnqeqnZVVTf3BCTQ6QrY91pgsvNg3kmNncue64B/iUiLANnGqmqqqqYmJCS4iGSMKW19WiUw4/7eXNetMePmbGLAi7P5ceMer2OZUuCmF1NzEZkqIrtFZJeIfCYizV2cOwNo5Pc+Cd8zFYFcS77mJVXd5vzcCHwLdHbxmcYYD8RER/J/l3fg/RHdyVPlmrE/8MRnKzicbeN6lmdumpjeByYC9YEGwCTc3StYCCSLSDNnqI5r8Q30dwoRaQ3UAub7raslIlHO63jgLCDgzW1jTOjo1TKeGff1YXivprw1/2f6vzibeet3ex3LlJCbAiGq+o6q5jrLuxTcVPQrVc0FRgEz8c1ON1FVV4rIUyIyyG/XocCHemp3qrZAmogsBb4Bnimo95MxJrRUj4rgyUFnMPH2noSLcN24H/nTp8vJOpZT9MEmpLjp5voMsB9fLyQFrgGigFcAVHVvkDO6Yt1cjQk9R4/n8cKstYybs4nE2GievjKFc1rZ/cJQUlg3VzcFYlMhm1VV3dyPCDorEMaErvSf9/HI5KVsyDzM1alJ/PmSdsRVjfQ6luE0C0R5YQXCmNB2LCePf335E2NnbyAhJoqnr+jA+W3qeR2r0jvdB+WMMea0RUeG8+iANnx611nEVY3klglpPPjREvYfOe51NFMAKxDGmDLVsVFNpt5zNvec35LPlm7jon/OZubKHV7HMgFYgTDGlLmoiHAe6tuaz+4+i/gaUdz+Tjr3fLCYvYftaiKUuHlQ7mNnDCYrJsaYUtW+YRxTRp3Fgxe1YsaK7Vz0wnd8vmy717GMw80v/dfwDXfxk4g8IyJtgpzJGFOJRIaHce8FyUy952wa1KzK3e8vYtT7i+y5iRDgZiymL1X1eqALvrkgZonIPBG5WUSsn5oxplS0qR/Lp3f14uG+rfjvih1cOnoOK7cd8DpWpeaq2UhE6gDDgRHAYuBFfAVjVtCSGWMqnYjwMEadn8wHt/XgaE4el786j/d+/JmK0h2/vHFzD+IT4HugGnCpqg5S1Y9U9R7A9YQ+xhjjVrdmtZl+b296NK/Dnz9dwX0fLuGQDfxX5txcQbysqu1U9WlVPeXuUUEPVxhjzOmqUyOKCcPP5OG+rZi2bBuDRs9h9faDXseqVNwUiDdE5A7/FSIyLUh5jDHmV2Fhwqjzk3lvRA+ysnO57JW5fLjgF2tyKiNupxw9T0T+7QzbDQXMDGeMMcHQs0Udpt/bm9SmtXj0k+U8OHGpzTVRBtwUiCOqeg2+Ibu/d6YHtfJtjClTCTFRvH1Ldx64sBX/WbKVQS/PYe2OLK9jVWiu5oMAUNVngT/hm98hKZihjDEmkPAw4b4Lk3nv1u4cOJrL4FfmMClti9exKiw3BeLxky9U9SugH/By0BIZY0wRerWMZ/p9Z9O5US3+MHkZD01cypHj1uRU2twUiPtF5OKTb1T1Z+wKwhjjsbox0bw7ojv3XpDMJ4szGPzyXNbvsian0uSmQDQD/igiT/its+6txhjPhYcJD17Uirdv6cbew8e5dPRcPlmU4XWsCsNNgdgPXADUE5GpIhIX5EzGGFMsvZMTmH5fbzokxfHgxKX8cfIyjuXkeR2r3HN1k1pVc1X1LuBjYA5Q183JRaS/iKwVkfUi8miA7f8UkSXOsk5E9vttu0lEfnKWm9x+IWNM5VQvNpr3R3Rn1Hkt+ShtC5e9MpcNmYe8jlWuuSkQY06+UNUJ+MZk+qKog0QkHHgFGAC0A4aKSDv/fVT1AVXtpKqdgNHAJ86xtYEngO5AN+AJEanlIqsxphKLCA/j4X6tmXDzmew8eIxLR8/hsyVbvY5VbrkpEP8VkcYnFyATeNLFcd2A9aq6UVWPAx8CgwvZfyjwgfO6HzBLVfeq6j58gwL2d/GZxhjDua3rMv2+3rRLjOW+D5fw2CfLrcmpBCJc7PM5vgfjBIjGd9N6DdC+iOMaAv4dlDPwXRH8jvPwXTPg60KO/d3T2yIyEhgJ0Lhx4yLiGGMqk8S4qnwwsgfPf7GOMd9tYMmW/bx6fReaxVf3Olq54WY+iA6qmuL8TMZ3ZTDXxbkl0OkK2PdaYLKqnizxro5V1bGqmqqqqQkJCS4iGWMqk8jwMB4d0Ibxw1PZfuAol46ew7Rl27yOVW4UexpRVV0EnOli1wygkd/7JKCgfzPX8lvzUnGPNcaYQp3fph6f39ubVvVqMOr9xfy//6ywJicXimxiEpEH/d6G4ZsoKNPFuRcCySLSDNiKrwhcF+D8rYFawHy/1TOBv/ndmO4LPObiM40xJqCGNavy0e09eW7mWsbO3sjiLft45bouNKljTU4FcXMFEeO3ROG7J1HYzWYAVDUXGIXvl/1qYKKqrhSRp0RkkN+uQ4EP1W/8XlXdC/wVX5FZCDzlrDPGmBKLDA/jTxe3ZdyNqWzZe5SBL83hv8u3F31gJSUFjasuIu+o6jARuU9VXyzjXMWWmpqqaWlpXscwxpQTGfuOcPf7i1m6ZT/DezXlsYvbEBUR7nWsMici6QVN/lbYFURXp3fRLSJSS0Rq+y/BiWqMMWUjqVY1Jt3ek1vPbsaEeZsZMmY+W/Ye8TpWSCmsQIwBZgBtgPR8i/2pbowp96pEhPH/Brbj9WFd2bT7MBe/9D0zVuzwOlbIKLBAqOpLqtoWGK+qzVW1md/SvAwzGmNMUPU7oz7T7+1Ns/jq3PFuOk9NXcXx3BNex/Kcm+cg7iyLIMYY46VGtasx6Y6eDO/VlPFzN3H16/PJ2Fe5m5yK/RyEMcZUVFER4Tw56Axevb4LG3Yd4pKX5vDlqp1ex/KMFQhjjMnn4g6JTLv3bBrVrsqIt9P42/TV5ORVviYnKxDGGBNAkzrVmXxHL4b1aMLY2Ru55vXK18vJCoQxxhQgOjKcv17WntFDO7Nu5yHOee4bbhy/gKlLt1WKoTrcjOZqjDGV2qUdG9C1SS0+XPALk9MzuOeDxcRVjWRQxwYMSU2iQ8M4RAKNMVq+FfgkdXljT1IbY8pC3gll/oY9TErfwowVO8jOPUHrejEMSU3iss4Nia8R5XXEYinsSWorEMYYU0IHjuYwbdk2JqVlsGTLfiLChPPa1GVI1yTOa1OXyPDQb8W3AmGMMUH2084sJqdn8MnirWRmZVOnehUu69yQIalJtKkf63W8AlmBMMaYMpKbd4Lv1mUyKS2Dr9bsJCdP6dAwjiGpSQzq2ICa1ap4HfEUViCMMcYDew8f57MlW5mUlsGq7QepEh7GRWfUY0jXJHonJxAe5v2NbSsQxhjjsZXbDjApLYPPlmxl35Ec6sdGc0WXhlzVNYnmCTU8y2UFwhhjQkR2bh5fr97FpPQMvl27ixMKXZvUYkjXJC5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@@ -192,6 +192,9 @@
    "source": [
     "fig2, ax2 = plt.subplots()\n",
     "ax2.plot(range(1, 10), fpcs)\n",
+    "plt.xlabel('number of clusters')\n",
+    "plt.ylabel('fuzzy partition coefficient (FPC)')\n",
+    "\n",
     "plt.savefig('fuzzy_elbow_method.png')"
    ]
   },
diff --git a/ProjectReport_WSNClustering_ML.pdf b/ProjectReport_WSNClustering_ML.pdf
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index 0000000..1339c73
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diff --git a/screenshots/fuzzy_elbow_method.png b/screenshots/fuzzy_elbow_method.png
new file mode 100644
index 0000000..ebd8551
Binary files /dev/null and b/screenshots/fuzzy_elbow_method.png differ