k-centros.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Processing pmed_scrap\\pmed1.txt | |V|: 100 | Arestas: 200 | k: 5\n",
      "Testing raio = 143.0 (mid index: 142)\n",
      "Status for raio 143.0: Optimal\n",
      "Testing raio = 71.0 (mid index: 70)\n",
      "Status for raio 71.0: Infeasible\n",
      "Testing raio = 107.0 (mid index: 106)\n",
      "Status for raio 107.0: Infeasible\n",
      "Testing raio = 125.0 (mid index: 124)\n",
      "Status for raio 125.0: Infeasible\n",
      "Testing raio = 134.0 (mid index: 133)\n",
      "Status for raio 134.0: Optimal\n",
      "Testing raio = 129.0 (mid index: 128)\n",
      "Status for raio 129.0: Optimal\n",
      "Testing raio = 127.0 (mid index: 126)\n",
      "Status for raio 127.0: Optimal\n",
      "Testing raio = 126.0 (mid index: 125)\n",
      "Status for raio 126.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 127.0 | Time: 12.31 seconds\n",
      "Initial center: 82\n",
      "Selected center: 66 at distance 283.0\n",
      "Selected center: 77 at distance 265.0\n",
      "Selected center: 70 at distance 231.0\n",
      "Selected center: 89 at distance 207.0\n",
      "Approximate Method: Raio Aproximado = 192.0 | Time: 0.01 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed2.txt | |V|: 100 | Arestas: 200 | k: 10\n",
      "Testing raio = 143.0 (mid index: 141)\n",
      "Status for raio 143.0: Optimal\n",
      "Testing raio = 72.0 (mid index: 70)\n",
      "Status for raio 72.0: Infeasible\n",
      "Testing raio = 107.0 (mid index: 105)\n",
      "Status for raio 107.0: Optimal\n",
      "Testing raio = 89.0 (mid index: 87)\n",
      "Status for raio 89.0: Infeasible\n",
      "Testing raio = 98.0 (mid index: 96)\n",
      "Status for raio 98.0: Optimal\n",
      "Testing raio = 93.0 (mid index: 91)\n",
      "Status for raio 93.0: Infeasible\n",
      "Testing raio = 95.0 (mid index: 93)\n",
      "Status for raio 95.0: Infeasible\n",
      "Testing raio = 96.0 (mid index: 94)\n",
      "Status for raio 96.0: Infeasible\n",
      "Testing raio = 97.0 (mid index: 95)\n",
      "Status for raio 97.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 98.0 | Time: 1.67 seconds\n",
      "Initial center: 82\n",
      "Selected center: 75 at distance 245.0\n",
      "Selected center: 86 at distance 225.0\n",
      "Selected center: 29 at distance 205.0\n",
      "Selected center: 46 at distance 204.0\n",
      "Selected center: 38 at distance 201.0\n",
      "Selected center: 15 at distance 193.0\n",
      "Selected center: 69 at distance 192.0\n",
      "Selected center: 59 at distance 169.0\n",
      "Selected center: 4 at distance 166.0\n",
      "Approximate Method: Raio Aproximado = 166.0 | Time: 0.01 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed3.txt | |V|: 100 | Arestas: 200 | k: 10\n",
      "Testing raio = 159.0 (mid index: 158)\n",
      "Status for raio 159.0: Optimal\n",
      "Testing raio = 79.0 (mid index: 78)\n",
      "Status for raio 79.0: Infeasible\n",
      "Testing raio = 119.0 (mid index: 118)\n",
      "Status for raio 119.0: Optimal\n",
      "Testing raio = 99.0 (mid index: 98)\n",
      "Status for raio 99.0: Optimal\n",
      "Testing raio = 89.0 (mid index: 88)\n",
      "Status for raio 89.0: Infeasible\n",
      "Testing raio = 94.0 (mid index: 93)\n",
      "Status for raio 94.0: Optimal\n",
      "Testing raio = 91.0 (mid index: 90)\n",
      "Status for raio 91.0: Infeasible\n",
      "Testing raio = 92.0 (mid index: 91)\n",
      "Status for raio 92.0: Infeasible\n",
      "Testing raio = 93.0 (mid index: 92)\n",
      "Status for raio 93.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 93.0 | Time: 1.64 seconds\n",
      "Initial center: 82\n",
      "Selected center: 87 at distance 291.0\n",
      "Selected center: 51 at distance 223.0\n",
      "Selected center: 90 at distance 206.0\n",
      "Selected center: 75 at distance 189.0\n",
      "Selected center: 71 at distance 168.0\n",
      "Selected center: 22 at distance 167.0\n",
      "Selected center: 38 at distance 165.0\n",
      "Selected center: 61 at distance 148.0\n",
      "Selected center: 19 at distance 139.0\n",
      "Approximate Method: Raio Aproximado = 135.0 | Time: 0.01 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed4.txt | |V|: 100 | Arestas: 200 | k: 20\n",
      "Testing raio = 150.0 (mid index: 144)\n",
      "Status for raio 150.0: Optimal\n",
      "Testing raio = 77.0 (mid index: 71)\n",
      "Status for raio 77.0: Optimal\n",
      "Testing raio = 41.0 (mid index: 35)\n",
      "Status for raio 41.0: Infeasible\n",
      "Testing raio = 59.0 (mid index: 53)\n",
      "Status for raio 59.0: Infeasible\n",
      "Testing raio = 68.0 (mid index: 62)\n",
      "Status for raio 68.0: Infeasible\n",
      "Testing raio = 72.0 (mid index: 66)\n",
      "Status for raio 72.0: Infeasible\n",
      "Testing raio = 74.0 (mid index: 68)\n",
      "Status for raio 74.0: Optimal\n",
      "Testing raio = 73.0 (mid index: 67)\n",
      "Status for raio 73.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 74.0 | Time: 0.97 seconds\n",
      "Initial center: 82\n",
      "Selected center: 65 at distance 335.0\n",
      "Selected center: 5 at distance 277.0\n",
      "Selected center: 51 at distance 267.0\n",
      "Selected center: 28 at distance 234.0\n",
      "Selected center: 13 at distance 210.0\n",
      "Selected center: 35 at distance 204.0\n",
      "Selected center: 42 at distance 183.0\n",
      "Selected center: 93 at distance 182.0\n",
      "Selected center: 10 at distance 176.0\n",
      "Selected center: 79 at distance 172.0\n",
      "Selected center: 39 at distance 153.0\n",
      "Selected center: 1 at distance 140.0\n",
      "Selected center: 70 at distance 140.0\n",
      "Selected center: 25 at distance 135.0\n",
      "Selected center: 61 at distance 130.0\n",
      "Selected center: 95 at distance 128.0\n",
      "Selected center: 75 at distance 121.0\n",
      "Selected center: 18 at distance 119.0\n",
      "Selected center: 90 at distance 113.0\n",
      "Approximate Method: Raio Aproximado = 112.0 | Time: 0.01 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed5.txt | |V|: 100 | Arestas: 200 | k: 33\n",
      "Testing raio = 130.0 (mid index: 130)\n",
      "Status for raio 130.0: Optimal\n",
      "Testing raio = 64.0 (mid index: 64)\n",
      "Status for raio 64.0: Optimal\n",
      "Testing raio = 31.0 (mid index: 31)\n",
      "Status for raio 31.0: Infeasible\n",
      "Testing raio = 47.0 (mid index: 47)\n",
      "Status for raio 47.0: Infeasible\n",
      "Testing raio = 55.0 (mid index: 55)\n",
      "Status for raio 55.0: Optimal\n",
      "Testing raio = 51.0 (mid index: 51)\n",
      "Status for raio 51.0: Optimal\n",
      "Testing raio = 49.0 (mid index: 49)\n",
      "Status for raio 49.0: Optimal\n",
      "Testing raio = 48.0 (mid index: 48)\n",
      "Status for raio 48.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 48.0 | Time: 0.94 seconds\n",
      "Initial center: 82\n",
      "Selected center: 70 at distance 235.0\n",
      "Selected center: 9 at distance 213.0\n",
      "Selected center: 58 at distance 203.0\n",
      "Selected center: 95 at distance 199.0\n",
      "Selected center: 39 at distance 188.0\n",
      "Selected center: 85 at distance 182.0\n",
      "Selected center: 4 at distance 176.0\n",
      "Selected center: 80 at distance 170.0\n",
      "Selected center: 25 at distance 154.0\n",
      "Selected center: 29 at distance 153.0\n",
      "Selected center: 21 at distance 144.0\n",
      "Selected center: 73 at distance 141.0\n",
      "Selected center: 34 at distance 133.0\n",
      "Selected center: 12 at distance 128.0\n",
      "Selected center: 100 at distance 128.0\n",
      "Selected center: 53 at distance 124.0\n",
      "Selected center: 98 at distance 104.0\n",
      "Selected center: 26 at distance 100.0\n",
      "Selected center: 45 at distance 98.0\n",
      "Selected center: 56 at distance 98.0\n",
      "Selected center: 6 at distance 92.0\n",
      "Selected center: 18 at distance 91.0\n",
      "Selected center: 37 at distance 90.0\n",
      "Selected center: 8 at distance 86.0\n",
      "Selected center: 61 at distance 85.0\n",
      "Selected center: 92 at distance 85.0\n",
      "Selected center: 76 at distance 82.0\n",
      "Selected center: 43 at distance 78.0\n",
      "Selected center: 75 at distance 77.0\n",
      "Selected center: 30 at distance 76.0\n",
      "Selected center: 13 at distance 75.0\n",
      "Selected center: 91 at distance 75.0\n",
      "Approximate Method: Raio Aproximado = 73.0 | Time: 0.02 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed6.txt | |V|: 200 | Arestas: 800 | k: 5\n",
      "Testing raio = 94.0 (mid index: 94)\n",
      "Status for raio 94.0: Optimal\n",
      "Testing raio = 46.0 (mid index: 46)\n",
      "Status for raio 46.0: Infeasible\n",
      "Testing raio = 70.0 (mid index: 70)\n",
      "Status for raio 70.0: Infeasible\n",
      "Testing raio = 82.0 (mid index: 82)\n",
      "Status for raio 82.0: Infeasible\n",
      "Testing raio = 88.0 (mid index: 88)\n",
      "Status for raio 88.0: Optimal\n",
      "Testing raio = 85.0 (mid index: 85)\n",
      "Status for raio 85.0: Optimal\n",
      "Testing raio = 83.0 (mid index: 83)\n",
      "Status for raio 83.0: Infeasible\n",
      "Testing raio = 84.0 (mid index: 84)\n",
      "Status for raio 84.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 84.0 | Time: 40.80 seconds\n",
      "Initial center: 164\n",
      "Selected center: 33 at distance 125.0\n",
      "Selected center: 65 at distance 119.0\n",
      "Selected center: 29 at distance 115.0\n",
      "Selected center: 63 at distance 114.0\n",
      "Approximate Method: Raio Aproximado = 110.0 | Time: 0.14 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed7.txt | |V|: 200 | Arestas: 800 | k: 10\n",
      "Testing raio = 85.0 (mid index: 85)\n",
      "Status for raio 85.0: Optimal\n",
      "Testing raio = 42.0 (mid index: 42)\n",
      "Status for raio 42.0: Infeasible\n",
      "Testing raio = 63.0 (mid index: 63)\n",
      "Status for raio 63.0: Infeasible\n",
      "Testing raio = 74.0 (mid index: 74)\n",
      "Status for raio 74.0: Optimal\n",
      "Testing raio = 68.0 (mid index: 68)\n",
      "Status for raio 68.0: Optimal\n",
      "Testing raio = 65.0 (mid index: 65)\n",
      "Status for raio 65.0: Optimal\n",
      "Testing raio = 64.0 (mid index: 64)\n",
      "Status for raio 64.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 64.0 | Time: 8.12 seconds\n",
      "Initial center: 164\n",
      "Selected center: 73 at distance 165.0\n",
      "Selected center: 16 at distance 157.0\n",
      "Selected center: 172 at distance 144.0\n",
      "Selected center: 64 at distance 128.0\n",
      "Selected center: 100 at distance 127.0\n",
      "Selected center: 52 at distance 122.0\n",
      "Selected center: 19 at distance 116.0\n",
      "Selected center: 110 at distance 115.0\n",
      "Selected center: 175 at distance 111.0\n",
      "Approximate Method: Raio Aproximado = 104.0 | Time: 0.09 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed8.txt | |V|: 200 | Arestas: 800 | k: 20\n",
      "Testing raio = 102.0 (mid index: 102)\n",
      "Status for raio 102.0: Optimal\n",
      "Testing raio = 50.0 (mid index: 50)\n",
      "Status for raio 50.0: Infeasible\n",
      "Testing raio = 76.0 (mid index: 76)\n",
      "Status for raio 76.0: Optimal\n",
      "Testing raio = 63.0 (mid index: 63)\n",
      "Status for raio 63.0: Optimal\n",
      "Testing raio = 56.0 (mid index: 56)\n",
      "Status for raio 56.0: Optimal\n",
      "Testing raio = 53.0 (mid index: 53)\n",
      "Status for raio 53.0: Infeasible\n",
      "Testing raio = 54.0 (mid index: 54)\n",
      "Status for raio 54.0: Infeasible\n",
      "Testing raio = 55.0 (mid index: 55)\n",
      "Status for raio 55.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 55.0 | Time: 6.29 seconds\n",
      "Initial center: 164\n",
      "Selected center: 46 at distance 190.0\n",
      "Selected center: 182 at distance 183.0\n",
      "Selected center: 66 at distance 159.0\n",
      "Selected center: 200 at distance 155.0\n",
      "Selected center: 176 at distance 149.0\n",
      "Selected center: 192 at distance 137.0\n",
      "Selected center: 57 at distance 133.0\n",
      "Selected center: 19 at distance 124.0\n",
      "Selected center: 173 at distance 114.0\n",
      "Selected center: 89 at distance 113.0\n",
      "Selected center: 157 at distance 113.0\n",
      "Selected center: 187 at distance 112.0\n",
      "Selected center: 69 at distance 105.0\n",
      "Selected center: 61 at distance 101.0\n",
      "Selected center: 142 at distance 92.0\n",
      "Selected center: 75 at distance 91.0\n",
      "Selected center: 27 at distance 90.0\n",
      "Selected center: 163 at distance 86.0\n",
      "Selected center: 131 at distance 82.0\n",
      "Approximate Method: Raio Aproximado = 81.0 | Time: 0.09 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed9.txt | |V|: 200 | Arestas: 800 | k: 40\n",
      "Testing raio = 94.0 (mid index: 94)\n",
      "Status for raio 94.0: Optimal\n",
      "Testing raio = 46.0 (mid index: 46)\n",
      "Status for raio 46.0: Optimal\n",
      "Testing raio = 22.0 (mid index: 22)\n",
      "Status for raio 22.0: Infeasible\n",
      "Testing raio = 34.0 (mid index: 34)\n",
      "Status for raio 34.0: Infeasible\n",
      "Testing raio = 40.0 (mid index: 40)\n",
      "Status for raio 40.0: Optimal\n",
      "Testing raio = 37.0 (mid index: 37)\n",
      "Status for raio 37.0: Optimal\n",
      "Testing raio = 35.0 (mid index: 35)\n",
      "Status for raio 35.0: Infeasible\n",
      "Testing raio = 36.0 (mid index: 36)\n",
      "Status for raio 36.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 37.0 | Time: 3.95 seconds\n",
      "Initial center: 164\n",
      "Selected center: 55 at distance 145.0\n",
      "Selected center: 200 at distance 134.0\n",
      "Selected center: 189 at distance 122.0\n",
      "Selected center: 156 at distance 116.0\n",
      "Selected center: 100 at distance 111.0\n",
      "Selected center: 73 at distance 108.0\n",
      "Selected center: 89 at distance 105.0\n",
      "Selected center: 125 at distance 103.0\n",
      "Selected center: 181 at distance 103.0\n",
      "Selected center: 177 at distance 101.0\n",
      "Selected center: 24 at distance 97.0\n",
      "Selected center: 32 at distance 96.0\n",
      "Selected center: 113 at distance 86.0\n",
      "Selected center: 37 at distance 85.0\n",
      "Selected center: 127 at distance 85.0\n",
      "Selected center: 192 at distance 83.0\n",
      "Selected center: 84 at distance 82.0\n",
      "Selected center: 20 at distance 80.0\n",
      "Selected center: 68 at distance 77.0\n",
      "Selected center: 98 at distance 76.0\n",
      "Selected center: 48 at distance 75.0\n",
      "Selected center: 50 at distance 72.0\n",
      "Selected center: 43 at distance 71.0\n",
      "Selected center: 60 at distance 71.0\n",
      "Selected center: 166 at distance 70.0\n",
      "Selected center: 56 at distance 68.0\n",
      "Selected center: 197 at distance 68.0\n",
      "Selected center: 138 at distance 67.0\n",
      "Selected center: 74 at distance 66.0\n",
      "Selected center: 40 at distance 63.0\n",
      "Selected center: 13 at distance 62.0\n",
      "Selected center: 22 at distance 61.0\n",
      "Selected center: 117 at distance 61.0\n",
      "Selected center: 95 at distance 60.0\n",
      "Selected center: 176 at distance 60.0\n",
      "Selected center: 144 at distance 59.0\n",
      "Selected center: 92 at distance 55.0\n",
      "Selected center: 83 at distance 54.0\n",
      "Selected center: 87 at distance 53.0\n",
      "Approximate Method: Raio Aproximado = 52.0 | Time: 0.08 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed10.txt | |V|: 200 | Arestas: 800 | k: 67\n",
      "Testing raio = 81.0 (mid index: 81)\n",
      "Status for raio 81.0: Optimal\n",
      "Testing raio = 40.0 (mid index: 40)\n",
      "Status for raio 40.0: Optimal\n",
      "Testing raio = 19.0 (mid index: 19)\n",
      "Status for raio 19.0: Infeasible\n",
      "Testing raio = 29.0 (mid index: 29)\n",
      "Status for raio 29.0: Optimal\n",
      "Testing raio = 24.0 (mid index: 24)\n",
      "Status for raio 24.0: Optimal\n",
      "Testing raio = 21.0 (mid index: 21)\n",
      "Status for raio 21.0: Optimal\n",
      "Testing raio = 20.0 (mid index: 20)\n",
      "Status for raio 20.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 20.0 | Time: 3.24 seconds\n",
      "Initial center: 164\n",
      "Selected center: 183 at distance 114.0\n",
      "Selected center: 144 at distance 98.0\n",
      "Selected center: 6 at distance 88.0\n",
      "Selected center: 135 at distance 87.0\n",
      "Selected center: 43 at distance 82.0\n",
      "Selected center: 42 at distance 77.0\n",
      "Selected center: 176 at distance 77.0\n",
      "Selected center: 180 at distance 76.0\n",
      "Selected center: 192 at distance 76.0\n",
      "Selected center: 10 at distance 75.0\n",
      "Selected center: 133 at distance 75.0\n",
      "Selected center: 63 at distance 74.0\n",
      "Selected center: 145 at distance 72.0\n",
      "Selected center: 124 at distance 70.0\n",
      "Selected center: 31 at distance 69.0\n",
      "Selected center: 50 at distance 69.0\n",
      "Selected center: 128 at distance 69.0\n",
      "Selected center: 24 at distance 67.0\n",
      "Selected center: 68 at distance 66.0\n",
      "Selected center: 65 at distance 65.0\n",
      "Selected center: 81 at distance 64.0\n",
      "Selected center: 199 at distance 62.0\n",
      "Selected center: 3 at distance 60.0\n",
      "Selected center: 69 at distance 60.0\n",
      "Selected center: 156 at distance 60.0\n",
      "Selected center: 19 at distance 59.0\n",
      "Selected center: 168 at distance 56.0\n",
      "Selected center: 97 at distance 55.0\n",
      "Selected center: 62 at distance 54.0\n",
      "Selected center: 101 at distance 53.0\n",
      "Selected center: 147 at distance 50.0\n",
      "Selected center: 4 at distance 49.0\n",
      "Selected center: 36 at distance 48.0\n",
      "Selected center: 48 at distance 48.0\n",
      "Selected center: 148 at distance 48.0\n",
      "Selected center: 149 at distance 48.0\n",
      "Selected center: 143 at distance 47.0\n",
      "Selected center: 90 at distance 46.0\n",
      "Selected center: 166 at distance 46.0\n",
      "Selected center: 33 at distance 45.0\n",
      "Selected center: 44 at distance 43.0\n",
      "Selected center: 110 at distance 43.0\n",
      "Selected center: 73 at distance 42.0\n",
      "Selected center: 18 at distance 41.0\n",
      "Selected center: 52 at distance 39.0\n",
      "Selected center: 182 at distance 39.0\n",
      "Selected center: 170 at distance 38.0\n",
      "Selected center: 184 at distance 38.0\n",
      "Selected center: 2 at distance 37.0\n",
      "Selected center: 67 at distance 37.0\n",
      "Selected center: 117 at distance 37.0\n",
      "Selected center: 37 at distance 36.0\n",
      "Selected center: 186 at distance 35.0\n",
      "Selected center: 200 at distance 35.0\n",
      "Selected center: 9 at distance 34.0\n",
      "Selected center: 123 at distance 34.0\n",
      "Selected center: 136 at distance 34.0\n",
      "Selected center: 79 at distance 33.0\n",
      "Selected center: 100 at distance 33.0\n",
      "Selected center: 107 at distance 33.0\n",
      "Selected center: 193 at distance 33.0\n",
      "Selected center: 88 at distance 32.0\n",
      "Selected center: 196 at distance 32.0\n",
      "Selected center: 82 at distance 31.0\n",
      "Selected center: 99 at distance 31.0\n",
      "Selected center: 159 at distance 31.0\n",
      "Approximate Method: Raio Aproximado = 31.0 | Time: 0.12 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed11.txt | |V|: 300 | Arestas: 1800 | k: 5\n",
      "Testing raio = 64.0 (mid index: 64)\n",
      "Status for raio 64.0: Optimal\n",
      "Testing raio = 31.0 (mid index: 31)\n",
      "Status for raio 31.0: Infeasible\n",
      "Testing raio = 47.0 (mid index: 47)\n",
      "Status for raio 47.0: Infeasible\n",
      "Testing raio = 55.0 (mid index: 55)\n",
      "Status for raio 55.0: Infeasible\n",
      "Testing raio = 59.0 (mid index: 59)\n",
      "Status for raio 59.0: Optimal\n",
      "Testing raio = 57.0 (mid index: 57)\n",
      "Status for raio 57.0: Infeasible\n",
      "Testing raio = 58.0 (mid index: 58)\n",
      "Status for raio 58.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 59.0 | Time: 40.29 seconds\n",
      "Initial center: 58\n",
      "Selected center: 300 at distance 88.0\n",
      "Selected center: 192 at distance 83.0\n",
      "Selected center: 268 at distance 80.0\n",
      "Selected center: 257 at distance 79.0\n",
      "Approximate Method: Raio Aproximado = 78.0 | Time: 0.22 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed12.txt | |V|: 300 | Arestas: 1800 | k: 10\n",
      "Testing raio = 77.0 (mid index: 77)\n",
      "Status for raio 77.0: Optimal\n",
      "Testing raio = 38.0 (mid index: 38)\n",
      "Status for raio 38.0: Infeasible\n",
      "Testing raio = 57.0 (mid index: 57)\n",
      "Status for raio 57.0: Optimal\n",
      "Testing raio = 47.0 (mid index: 47)\n",
      "Status for raio 47.0: Infeasible\n",
      "Testing raio = 52.0 (mid index: 52)\n",
      "Status for raio 52.0: Optimal\n",
      "Testing raio = 49.0 (mid index: 49)\n",
      "Status for raio 49.0: Infeasible\n",
      "Testing raio = 50.0 (mid index: 50)\n",
      "Status for raio 50.0: Infeasible\n",
      "Testing raio = 51.0 (mid index: 51)\n",
      "Status for raio 51.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 51.0 | Time: 34.68 seconds\n",
      "Initial center: 58\n",
      "Selected center: 300 at distance 150.0\n",
      "Selected center: 237 at distance 134.0\n",
      "Selected center: 227 at distance 113.0\n",
      "Selected center: 46 at distance 112.0\n",
      "Selected center: 81 at distance 106.0\n",
      "Selected center: 201 at distance 102.0\n",
      "Selected center: 18 at distance 98.0\n",
      "Selected center: 68 at distance 92.0\n",
      "Selected center: 77 at distance 92.0\n",
      "Approximate Method: Raio Aproximado = 92.0 | Time: 0.22 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed13.txt | |V|: 300 | Arestas: 1800 | k: 30\n",
      "Testing raio = 69.0 (mid index: 69)\n",
      "Status for raio 69.0: Optimal\n",
      "Testing raio = 34.0 (mid index: 34)\n",
      "Status for raio 34.0: Infeasible\n",
      "Testing raio = 51.0 (mid index: 51)\n",
      "Status for raio 51.0: Optimal\n",
      "Testing raio = 42.0 (mid index: 42)\n",
      "Status for raio 42.0: Optimal\n",
      "Testing raio = 38.0 (mid index: 38)\n",
      "Status for raio 38.0: Optimal\n",
      "Testing raio = 36.0 (mid index: 36)\n",
      "Status for raio 36.0: Optimal\n",
      "Testing raio = 35.0 (mid index: 35)\n",
      "Status for raio 35.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 36.0 | Time: 11.09 seconds\n",
      "Initial center: 58\n",
      "Selected center: 86 at distance 96.0\n",
      "Selected center: 130 at distance 96.0\n",
      "Selected center: 226 at distance 85.0\n",
      "Selected center: 22 at distance 76.0\n",
      "Selected center: 120 at distance 76.0\n",
      "Selected center: 39 at distance 75.0\n",
      "Selected center: 245 at distance 74.0\n",
      "Selected center: 169 at distance 73.0\n",
      "Selected center: 190 at distance 72.0\n",
      "Selected center: 202 at distance 71.0\n",
      "Selected center: 244 at distance 71.0\n",
      "Selected center: 287 at distance 71.0\n",
      "Selected center: 192 at distance 68.0\n",
      "Selected center: 173 at distance 66.0\n",
      "Selected center: 231 at distance 65.0\n",
      "Selected center: 237 at distance 64.0\n",
      "Selected center: 263 at distance 64.0\n",
      "Selected center: 46 at distance 63.0\n",
      "Selected center: 251 at distance 63.0\n",
      "Selected center: 82 at distance 62.0\n",
      "Selected center: 178 at distance 62.0\n",
      "Selected center: 111 at distance 60.0\n",
      "Selected center: 37 at distance 59.0\n",
      "Selected center: 72 at distance 58.0\n",
      "Selected center: 203 at distance 58.0\n",
      "Selected center: 291 at distance 58.0\n",
      "Selected center: 75 at distance 57.0\n",
      "Selected center: 1 at distance 56.0\n",
      "Selected center: 89 at distance 56.0\n",
      "Approximate Method: Raio Aproximado = 55.0 | Time: 0.23 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed14.txt | |V|: 300 | Arestas: 1800 | k: 60\n",
      "Testing raio = 80.0 (mid index: 80)\n",
      "Status for raio 80.0: Optimal\n",
      "Testing raio = 39.0 (mid index: 39)\n",
      "Status for raio 39.0: Optimal\n",
      "Testing raio = 19.0 (mid index: 19)\n",
      "Status for raio 19.0: Infeasible\n",
      "Testing raio = 29.0 (mid index: 29)\n",
      "Status for raio 29.0: Optimal\n",
      "Testing raio = 24.0 (mid index: 24)\n",
      "Status for raio 24.0: Infeasible\n",
      "Testing raio = 26.0 (mid index: 26)\n",
      "Status for raio 26.0: Optimal\n",
      "Testing raio = 25.0 (mid index: 25)\n",
      "Status for raio 25.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 26.0 | Time: 6.91 seconds\n",
      "Initial center: 58\n",
      "Selected center: 22 at distance 113.0\n",
      "Selected center: 61 at distance 99.0\n",
      "Selected center: 90 at distance 84.0\n",
      "Selected center: 186 at distance 84.0\n",
      "Selected center: 158 at distance 83.0\n",
      "Selected center: 262 at distance 83.0\n",
      "Selected center: 176 at distance 81.0\n",
      "Selected center: 36 at distance 78.0\n",
      "Selected center: 104 at distance 78.0\n",
      "Selected center: 23 at distance 77.0\n",
      "Selected center: 205 at distance 74.0\n",
      "Selected center: 213 at distance 73.0\n",
      "Selected center: 28 at distance 72.0\n",
      "Selected center: 209 at distance 72.0\n",
      "Selected center: 259 at distance 71.0\n",
      "Selected center: 296 at distance 71.0\n",
      "Selected center: 300 at distance 71.0\n",
      "Selected center: 111 at distance 70.0\n",
      "Selected center: 138 at distance 67.0\n",
      "Selected center: 155 at distance 67.0\n",
      "Selected center: 121 at distance 66.0\n",
      "Selected center: 71 at distance 65.0\n",
      "Selected center: 142 at distance 65.0\n",
      "Selected center: 177 at distance 65.0\n",
      "Selected center: 45 at distance 63.0\n",
      "Selected center: 162 at distance 63.0\n",
      "Selected center: 294 at distance 63.0\n",
      "Selected center: 88 at distance 62.0\n",
      "Selected center: 98 at distance 60.0\n",
      "Selected center: 43 at distance 59.0\n",
      "Selected center: 65 at distance 59.0\n",
      "Selected center: 29 at distance 58.0\n",
      "Selected center: 81 at distance 56.0\n",
      "Selected center: 6 at distance 53.0\n",
      "Selected center: 149 at distance 53.0\n",
      "Selected center: 273 at distance 52.0\n",
      "Selected center: 44 at distance 51.0\n",
      "Selected center: 110 at distance 51.0\n",
      "Selected center: 145 at distance 49.0\n",
      "Selected center: 253 at distance 47.0\n",
      "Selected center: 7 at distance 46.0\n",
      "Selected center: 198 at distance 46.0\n",
      "Selected center: 143 at distance 45.0\n",
      "Selected center: 272 at distance 44.0\n",
      "Selected center: 41 at distance 43.0\n",
      "Selected center: 89 at distance 43.0\n",
      "Selected center: 99 at distance 43.0\n",
      "Selected center: 195 at distance 43.0\n",
      "Selected center: 17 at distance 42.0\n",
      "Selected center: 248 at distance 42.0\n",
      "Selected center: 59 at distance 40.0\n",
      "Selected center: 151 at distance 40.0\n",
      "Selected center: 85 at distance 39.0\n",
      "Selected center: 94 at distance 39.0\n",
      "Selected center: 182 at distance 39.0\n",
      "Selected center: 125 at distance 38.0\n",
      "Selected center: 290 at distance 38.0\n",
      "Selected center: 291 at distance 38.0\n",
      "Selected center: 115 at distance 37.0\n",
      "Approximate Method: Raio Aproximado = 37.0 | Time: 0.25 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed15.txt | |V|: 300 | Arestas: 1800 | k: 100\n",
      "Testing raio = 65.0 (mid index: 65)\n",
      "Status for raio 65.0: Optimal\n",
      "Testing raio = 32.0 (mid index: 32)\n",
      "Status for raio 32.0: Optimal\n",
      "Testing raio = 15.0 (mid index: 15)\n",
      "Status for raio 15.0: Infeasible\n",
      "Testing raio = 23.0 (mid index: 23)\n",
      "Status for raio 23.0: Optimal\n",
      "Testing raio = 19.0 (mid index: 19)\n",
      "Status for raio 19.0: Optimal\n",
      "Testing raio = 17.0 (mid index: 17)\n",
      "Status for raio 17.0: Infeasible\n",
      "Testing raio = 18.0 (mid index: 18)\n",
      "Status for raio 18.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 18.0 | Time: 5.67 seconds\n",
      "Initial center: 58\n",
      "Selected center: 168 at distance 81.0\n",
      "Selected center: 241 at distance 79.0\n",
      "Selected center: 243 at distance 76.0\n",
      "Selected center: 220 at distance 74.0\n",
      "Selected center: 189 at distance 72.0\n",
      "Selected center: 18 at distance 69.0\n",
      "Selected center: 138 at distance 69.0\n",
      "Selected center: 141 at distance 69.0\n",
      "Selected center: 38 at distance 67.0\n",
      "Selected center: 6 at distance 66.0\n",
      "Selected center: 274 at distance 64.0\n",
      "Selected center: 4 at distance 61.0\n",
      "Selected center: 79 at distance 61.0\n",
      "Selected center: 251 at distance 60.0\n",
      "Selected center: 22 at distance 59.0\n",
      "Selected center: 157 at distance 59.0\n",
      "Selected center: 244 at distance 59.0\n",
      "Selected center: 259 at distance 58.0\n",
      "Selected center: 296 at distance 58.0\n",
      "Selected center: 48 at distance 57.0\n",
      "Selected center: 66 at distance 57.0\n",
      "Selected center: 142 at distance 57.0\n",
      "Selected center: 223 at distance 56.0\n",
      "Selected center: 236 at distance 55.0\n",
      "Selected center: 247 at distance 55.0\n",
      "Selected center: 215 at distance 54.0\n",
      "Selected center: 24 at distance 53.0\n",
      "Selected center: 47 at distance 53.0\n",
      "Selected center: 52 at distance 53.0\n",
      "Selected center: 249 at distance 52.0\n",
      "Selected center: 46 at distance 50.0\n",
      "Selected center: 195 at distance 50.0\n",
      "Selected center: 202 at distance 50.0\n",
      "Selected center: 54 at distance 49.0\n",
      "Selected center: 164 at distance 49.0\n",
      "Selected center: 275 at distance 49.0\n",
      "Selected center: 90 at distance 48.0\n",
      "Selected center: 150 at distance 48.0\n",
      "Selected center: 114 at distance 47.0\n",
      "Selected center: 187 at distance 47.0\n",
      "Selected center: 209 at distance 47.0\n",
      "Selected center: 20 at distance 45.0\n",
      "Selected center: 161 at distance 45.0\n",
      "Selected center: 181 at distance 45.0\n",
      "Selected center: 248 at distance 45.0\n",
      "Selected center: 67 at distance 44.0\n",
      "Selected center: 192 at distance 44.0\n",
      "Selected center: 221 at distance 44.0\n",
      "Selected center: 65 at distance 43.0\n",
      "Selected center: 83 at distance 43.0\n",
      "Selected center: 105 at distance 43.0\n",
      "Selected center: 227 at distance 43.0\n",
      "Selected center: 228 at distance 43.0\n",
      "Selected center: 120 at distance 41.0\n",
      "Selected center: 37 at distance 40.0\n",
      "Selected center: 96 at distance 40.0\n",
      "Selected center: 158 at distance 38.0\n",
      "Selected center: 127 at distance 37.0\n",
      "Selected center: 153 at distance 37.0\n",
      "Selected center: 178 at distance 37.0\n",
      "Selected center: 94 at distance 36.0\n",
      "Selected center: 63 at distance 35.0\n",
      "Selected center: 177 at distance 35.0\n",
      "Selected center: 64 at distance 34.0\n",
      "Selected center: 76 at distance 34.0\n",
      "Selected center: 290 at distance 34.0\n",
      "Selected center: 85 at distance 33.0\n",
      "Selected center: 104 at distance 33.0\n",
      "Selected center: 5 at distance 32.0\n",
      "Selected center: 78 at distance 32.0\n",
      "Selected center: 110 at distance 32.0\n",
      "Selected center: 191 at distance 32.0\n",
      "Selected center: 242 at distance 32.0\n",
      "Selected center: 256 at distance 32.0\n",
      "Selected center: 109 at distance 31.0\n",
      "Selected center: 258 at distance 31.0\n",
      "Selected center: 126 at distance 30.0\n",
      "Selected center: 147 at distance 30.0\n",
      "Selected center: 68 at distance 29.0\n",
      "Selected center: 106 at distance 29.0\n",
      "Selected center: 284 at distance 29.0\n",
      "Selected center: 71 at distance 28.0\n",
      "Selected center: 217 at distance 28.0\n",
      "Selected center: 300 at distance 28.0\n",
      "Selected center: 28 at distance 27.0\n",
      "Selected center: 33 at distance 27.0\n",
      "Selected center: 139 at distance 27.0\n",
      "Selected center: 146 at distance 27.0\n",
      "Selected center: 174 at distance 27.0\n",
      "Selected center: 179 at distance 27.0\n",
      "Selected center: 39 at distance 26.0\n",
      "Selected center: 91 at distance 26.0\n",
      "Selected center: 224 at distance 26.0\n",
      "Selected center: 229 at distance 26.0\n",
      "Selected center: 252 at distance 26.0\n",
      "Selected center: 170 at distance 25.0\n",
      "Selected center: 277 at distance 25.0\n",
      "Selected center: 295 at distance 25.0\n",
      "Selected center: 34 at distance 24.0\n",
      "Approximate Method: Raio Aproximado = 24.0 | Time: 0.30 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed16.txt | |V|: 400 | Arestas: 3200 | k: 5\n",
      "Testing raio = 51.0 (mid index: 51)\n",
      "Status for raio 51.0: Optimal\n",
      "Testing raio = 25.0 (mid index: 25)\n",
      "Status for raio 25.0: Infeasible\n",
      "Testing raio = 38.0 (mid index: 38)\n",
      "Status for raio 38.0: Infeasible\n",
      "Testing raio = 44.0 (mid index: 44)\n",
      "Status for raio 44.0: Infeasible\n",
      "Testing raio = 47.0 (mid index: 47)\n",
      "Status for raio 47.0: Optimal\n",
      "Testing raio = 45.0 (mid index: 45)\n",
      "Status for raio 45.0: Infeasible\n",
      "Testing raio = 46.0 (mid index: 46)\n",
      "Status for raio 46.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 47.0 | Time: 130.85 seconds\n",
      "Initial center: 328\n",
      "Selected center: 138 at distance 71.0\n",
      "Selected center: 332 at distance 70.0\n",
      "Selected center: 250 at distance 67.0\n",
      "Selected center: 90 at distance 64.0\n",
      "Approximate Method: Raio Aproximado = 62.0 | Time: 0.64 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed17.txt | |V|: 400 | Arestas: 3200 | k: 10\n",
      "Testing raio = 51.0 (mid index: 51)\n",
      "Status for raio 51.0: Optimal\n",
      "Testing raio = 25.0 (mid index: 25)\n",
      "Status for raio 25.0: Infeasible\n",
      "Testing raio = 38.0 (mid index: 38)\n",
      "Status for raio 38.0: Infeasible\n",
      "Testing raio = 44.0 (mid index: 44)\n",
      "Status for raio 44.0: Optimal\n",
      "Testing raio = 41.0 (mid index: 41)\n",
      "Status for raio 41.0: Optimal\n",
      "Testing raio = 39.0 (mid index: 39)\n",
      "Status for raio 39.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 39.0 | Time: 53.09 seconds\n",
      "Initial center: 328\n",
      "Selected center: 308 at distance 83.0\n",
      "Selected center: 281 at distance 74.0\n",
      "Selected center: 158 at distance 66.0\n",
      "Selected center: 35 at distance 65.0\n",
      "Selected center: 45 at distance 61.0\n",
      "Selected center: 71 at distance 61.0\n",
      "Selected center: 249 at distance 61.0\n",
      "Selected center: 33 at distance 60.0\n",
      "Selected center: 346 at distance 60.0\n",
      "Approximate Method: Raio Aproximado = 59.0 | Time: 0.59 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed18.txt | |V|: 400 | Arestas: 3200 | k: 40\n",
      "Testing raio = 59.0 (mid index: 59)\n",
      "Status for raio 59.0: Optimal\n",
      "Testing raio = 29.0 (mid index: 29)\n",
      "Status for raio 29.0: Optimal\n",
      "Testing raio = 14.0 (mid index: 14)\n",
      "Status for raio 14.0: Infeasible\n",
      "Testing raio = 21.0 (mid index: 21)\n",
      "Status for raio 21.0: Infeasible\n",
      "Testing raio = 25.0 (mid index: 25)\n",
      "Status for raio 25.0: Infeasible\n",
      "Testing raio = 27.0 (mid index: 27)\n",
      "Status for raio 27.0: Infeasible\n",
      "Testing raio = 28.0 (mid index: 28)\n",
      "Status for raio 28.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 28.0 | Time: 18.01 seconds\n",
      "Initial center: 328\n",
      "Selected center: 245 at distance 92.0\n",
      "Selected center: 392 at distance 76.0\n",
      "Selected center: 224 at distance 74.0\n",
      "Selected center: 264 at distance 71.0\n",
      "Selected center: 10 at distance 65.0\n",
      "Selected center: 255 at distance 65.0\n",
      "Selected center: 1 at distance 62.0\n",
      "Selected center: 309 at distance 62.0\n",
      "Selected center: 5 at distance 61.0\n",
      "Selected center: 287 at distance 60.0\n",
      "Selected center: 132 at distance 58.0\n",
      "Selected center: 302 at distance 58.0\n",
      "Selected center: 90 at distance 56.0\n",
      "Selected center: 77 at distance 55.0\n",
      "Selected center: 301 at distance 54.0\n",
      "Selected center: 346 at distance 54.0\n",
      "Selected center: 98 at distance 53.0\n",
      "Selected center: 226 at distance 53.0\n",
      "Selected center: 375 at distance 53.0\n",
      "Selected center: 394 at distance 53.0\n",
      "Selected center: 75 at distance 52.0\n",
      "Selected center: 367 at distance 52.0\n",
      "Selected center: 400 at distance 52.0\n",
      "Selected center: 398 at distance 51.0\n",
      "Selected center: 95 at distance 50.0\n",
      "Selected center: 133 at distance 49.0\n",
      "Selected center: 48 at distance 48.0\n",
      "Selected center: 84 at distance 48.0\n",
      "Selected center: 150 at distance 48.0\n",
      "Selected center: 274 at distance 48.0\n",
      "Selected center: 283 at distance 48.0\n",
      "Selected center: 299 at distance 48.0\n",
      "Selected center: 208 at distance 47.0\n",
      "Selected center: 371 at distance 47.0\n",
      "Selected center: 338 at distance 46.0\n",
      "Selected center: 82 at distance 45.0\n",
      "Selected center: 364 at distance 45.0\n",
      "Selected center: 78 at distance 44.0\n",
      "Selected center: 76 at distance 41.0\n",
      "Approximate Method: Raio Aproximado = 41.0 | Time: 0.66 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed19.txt | |V|: 400 | Arestas: 3200 | k: 80\n",
      "Testing raio = 50.0 (mid index: 50)\n",
      "Status for raio 50.0: Optimal\n",
      "Testing raio = 24.0 (mid index: 24)\n",
      "Status for raio 24.0: Optimal\n",
      "Testing raio = 11.0 (mid index: 11)\n",
      "Status for raio 11.0: Infeasible\n",
      "Testing raio = 17.0 (mid index: 17)\n",
      "Status for raio 17.0: Infeasible\n",
      "Testing raio = 20.0 (mid index: 20)\n",
      "Status for raio 20.0: Optimal\n",
      "Testing raio = 18.0 (mid index: 18)\n",
      "Status for raio 18.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 18.0 | Time: 10.19 seconds\n",
      "Initial center: 328\n",
      "Selected center: 330 at distance 88.0\n",
      "Selected center: 107 at distance 85.0\n",
      "Selected center: 183 at distance 83.0\n",
      "Selected center: 188 at distance 76.0\n",
      "Selected center: 293 at distance 75.0\n",
      "Selected center: 349 at distance 75.0\n",
      "Selected center: 142 at distance 70.0\n",
      "Selected center: 305 at distance 68.0\n",
      "Selected center: 155 at distance 67.0\n",
      "Selected center: 179 at distance 67.0\n",
      "Selected center: 235 at distance 65.0\n",
      "Selected center: 26 at distance 63.0\n",
      "Selected center: 267 at distance 63.0\n",
      "Selected center: 51 at distance 61.0\n",
      "Selected center: 400 at distance 61.0\n",
      "Selected center: 124 at distance 60.0\n",
      "Selected center: 112 at distance 57.0\n",
      "Selected center: 304 at distance 57.0\n",
      "Selected center: 240 at distance 55.0\n",
      "Selected center: 24 at distance 54.0\n",
      "Selected center: 209 at distance 54.0\n",
      "Selected center: 77 at distance 53.0\n",
      "Selected center: 215 at distance 53.0\n",
      "Selected center: 216 at distance 53.0\n",
      "Selected center: 146 at distance 51.0\n",
      "Selected center: 171 at distance 51.0\n",
      "Selected center: 247 at distance 50.0\n",
      "Selected center: 265 at distance 50.0\n",
      "Selected center: 139 at distance 49.0\n",
      "Selected center: 266 at distance 49.0\n",
      "Selected center: 129 at distance 48.0\n",
      "Selected center: 239 at distance 47.0\n",
      "Selected center: 37 at distance 46.0\n",
      "Selected center: 21 at distance 44.0\n",
      "Selected center: 201 at distance 44.0\n",
      "Selected center: 203 at distance 44.0\n",
      "Selected center: 7 at distance 43.0\n",
      "Selected center: 74 at distance 43.0\n",
      "Selected center: 158 at distance 43.0\n",
      "Selected center: 346 at distance 43.0\n",
      "Selected center: 27 at distance 40.0\n",
      "Selected center: 95 at distance 40.0\n",
      "Selected center: 226 at distance 40.0\n",
      "Selected center: 241 at distance 40.0\n",
      "Selected center: 348 at distance 40.0\n",
      "Selected center: 19 at distance 39.0\n",
      "Selected center: 62 at distance 39.0\n",
      "Selected center: 84 at distance 39.0\n",
      "Selected center: 256 at distance 39.0\n",
      "Selected center: 365 at distance 39.0\n",
      "Selected center: 195 at distance 38.0\n",
      "Selected center: 297 at distance 38.0\n",
      "Selected center: 350 at distance 38.0\n",
      "Selected center: 352 at distance 38.0\n",
      "Selected center: 152 at distance 36.0\n",
      "Selected center: 153 at distance 35.0\n",
      "Selected center: 205 at distance 35.0\n",
      "Selected center: 224 at distance 35.0\n",
      "Selected center: 286 at distance 35.0\n",
      "Selected center: 388 at distance 34.0\n",
      "Selected center: 39 at distance 33.0\n",
      "Selected center: 88 at distance 33.0\n",
      "Selected center: 200 at distance 33.0\n",
      "Selected center: 33 at distance 32.0\n",
      "Selected center: 206 at distance 32.0\n",
      "Selected center: 315 at distance 32.0\n",
      "Selected center: 13 at distance 31.0\n",
      "Selected center: 170 at distance 31.0\n",
      "Selected center: 192 at distance 31.0\n",
      "Selected center: 41 at distance 30.0\n",
      "Selected center: 73 at distance 30.0\n",
      "Selected center: 134 at distance 30.0\n",
      "Selected center: 289 at distance 30.0\n",
      "Selected center: 344 at distance 30.0\n",
      "Selected center: 49 at distance 29.0\n",
      "Selected center: 166 at distance 29.0\n",
      "Selected center: 214 at distance 29.0\n",
      "Selected center: 237 at distance 29.0\n",
      "Selected center: 310 at distance 29.0\n",
      "Approximate Method: Raio Aproximado = 29.0 | Time: 0.79 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed20.txt | |V|: 400 | Arestas: 3200 | k: 133\n",
      "Testing raio = 55.0 (mid index: 55)\n",
      "Status for raio 55.0: Optimal\n",
      "Testing raio = 27.0 (mid index: 27)\n",
      "Status for raio 27.0: Optimal\n",
      "Testing raio = 13.0 (mid index: 13)\n",
      "Status for raio 13.0: Optimal\n",
      "Testing raio = 6.0 (mid index: 6)\n",
      "Status for raio 6.0: Infeasible\n",
      "Testing raio = 9.0 (mid index: 9)\n",
      "Status for raio 9.0: Infeasible\n",
      "Testing raio = 11.0 (mid index: 11)\n",
      "Status for raio 11.0: Infeasible\n",
      "Testing raio = 12.0 (mid index: 12)\n",
      "Status for raio 12.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 13.0 | Time: 11.10 seconds\n",
      "Initial center: 328\n",
      "Selected center: 90 at distance 80.0\n",
      "Selected center: 390 at distance 77.0\n",
      "Selected center: 400 at distance 72.0\n",
      "Selected center: 298 at distance 71.0\n",
      "Selected center: 77 at distance 70.0\n",
      "Selected center: 31 at distance 67.0\n",
      "Selected center: 83 at distance 66.0\n",
      "Selected center: 206 at distance 65.0\n",
      "Selected center: 73 at distance 64.0\n",
      "Selected center: 183 at distance 64.0\n",
      "Selected center: 168 at distance 63.0\n",
      "Selected center: 3 at distance 62.0\n",
      "Selected center: 247 at distance 62.0\n",
      "Selected center: 109 at distance 61.0\n",
      "Selected center: 367 at distance 61.0\n",
      "Selected center: 137 at distance 60.0\n",
      "Selected center: 301 at distance 60.0\n",
      "Selected center: 271 at distance 59.0\n",
      "Selected center: 56 at distance 57.0\n",
      "Selected center: 121 at distance 57.0\n",
      "Selected center: 338 at distance 55.0\n",
      "Selected center: 61 at distance 54.0\n",
      "Selected center: 188 at distance 54.0\n",
      "Selected center: 244 at distance 54.0\n",
      "Selected center: 192 at distance 53.0\n",
      "Selected center: 69 at distance 51.0\n",
      "Selected center: 371 at distance 51.0\n",
      "Selected center: 195 at distance 50.0\n",
      "Selected center: 80 at distance 49.0\n",
      "Selected center: 102 at distance 49.0\n",
      "Selected center: 329 at distance 49.0\n",
      "Selected center: 125 at distance 48.0\n",
      "Selected center: 142 at distance 48.0\n",
      "Selected center: 128 at distance 47.0\n",
      "Selected center: 239 at distance 45.0\n",
      "Selected center: 389 at distance 44.0\n",
      "Selected center: 127 at distance 43.0\n",
      "Selected center: 276 at distance 43.0\n",
      "Selected center: 64 at distance 42.0\n",
      "Selected center: 299 at distance 42.0\n",
      "Selected center: 380 at distance 42.0\n",
      "Selected center: 53 at distance 41.0\n",
      "Selected center: 112 at distance 41.0\n",
      "Selected center: 49 at distance 40.0\n",
      "Selected center: 98 at distance 39.0\n",
      "Selected center: 374 at distance 39.0\n",
      "Selected center: 139 at distance 38.0\n",
      "Selected center: 236 at distance 38.0\n",
      "Selected center: 57 at distance 37.0\n",
      "Selected center: 263 at distance 37.0\n",
      "Selected center: 265 at distance 37.0\n",
      "Selected center: 333 at distance 37.0\n",
      "Selected center: 341 at distance 37.0\n",
      "Selected center: 106 at distance 36.0\n",
      "Selected center: 7 at distance 35.0\n",
      "Selected center: 146 at distance 35.0\n",
      "Selected center: 245 at distance 35.0\n",
      "Selected center: 250 at distance 35.0\n",
      "Selected center: 143 at distance 33.0\n",
      "Selected center: 210 at distance 33.0\n",
      "Selected center: 14 at distance 32.0\n",
      "Selected center: 122 at distance 32.0\n",
      "Selected center: 179 at distance 32.0\n",
      "Selected center: 213 at distance 32.0\n",
      "Selected center: 348 at distance 32.0\n",
      "Selected center: 256 at distance 31.0\n",
      "Selected center: 40 at distance 30.0\n",
      "Selected center: 51 at distance 30.0\n",
      "Selected center: 75 at distance 30.0\n",
      "Selected center: 120 at distance 30.0\n",
      "Selected center: 171 at distance 30.0\n",
      "Selected center: 284 at distance 30.0\n",
      "Selected center: 177 at distance 29.0\n",
      "Selected center: 319 at distance 29.0\n",
      "Selected center: 347 at distance 29.0\n",
      "Selected center: 377 at distance 29.0\n",
      "Selected center: 47 at distance 28.0\n",
      "Selected center: 52 at distance 28.0\n",
      "Selected center: 65 at distance 28.0\n",
      "Selected center: 76 at distance 28.0\n",
      "Selected center: 261 at distance 28.0\n",
      "Selected center: 275 at distance 28.0\n",
      "Selected center: 345 at distance 28.0\n",
      "Selected center: 353 at distance 28.0\n",
      "Selected center: 79 at distance 27.0\n",
      "Selected center: 92 at distance 27.0\n",
      "Selected center: 257 at distance 27.0\n",
      "Selected center: 259 at distance 27.0\n",
      "Selected center: 355 at distance 27.0\n",
      "Selected center: 117 at distance 26.0\n",
      "Selected center: 10 at distance 25.0\n",
      "Selected center: 15 at distance 25.0\n",
      "Selected center: 29 at distance 25.0\n",
      "Selected center: 242 at distance 25.0\n",
      "Selected center: 388 at distance 25.0\n",
      "Selected center: 38 at distance 24.0\n",
      "Selected center: 72 at distance 24.0\n",
      "Selected center: 212 at distance 24.0\n",
      "Selected center: 318 at distance 24.0\n",
      "Selected center: 349 at distance 24.0\n",
      "Selected center: 16 at distance 23.0\n",
      "Selected center: 17 at distance 23.0\n",
      "Selected center: 37 at distance 23.0\n",
      "Selected center: 81 at distance 23.0\n",
      "Selected center: 91 at distance 23.0\n",
      "Selected center: 148 at distance 23.0\n",
      "Selected center: 237 at distance 23.0\n",
      "Selected center: 295 at distance 23.0\n",
      "Selected center: 360 at distance 23.0\n",
      "Selected center: 18 at distance 22.0\n",
      "Selected center: 25 at distance 22.0\n",
      "Selected center: 87 at distance 22.0\n",
      "Selected center: 194 at distance 22.0\n",
      "Selected center: 240 at distance 22.0\n",
      "Selected center: 264 at distance 22.0\n",
      "Selected center: 316 at distance 22.0\n",
      "Selected center: 398 at distance 22.0\n",
      "Selected center: 97 at distance 21.0\n",
      "Selected center: 158 at distance 21.0\n",
      "Selected center: 203 at distance 21.0\n",
      "Selected center: 234 at distance 21.0\n",
      "Selected center: 282 at distance 21.0\n",
      "Selected center: 302 at distance 21.0\n",
      "Selected center: 352 at distance 21.0\n",
      "Selected center: 2 at distance 20.0\n",
      "Selected center: 36 at distance 20.0\n",
      "Selected center: 135 at distance 20.0\n",
      "Selected center: 141 at distance 20.0\n",
      "Selected center: 162 at distance 20.0\n",
      "Selected center: 270 at distance 20.0\n",
      "Selected center: 24 at distance 19.0\n",
      "Selected center: 27 at distance 19.0\n",
      "Approximate Method: Raio Aproximado = 19.0 | Time: 0.93 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed21.txt | |V|: 500 | Arestas: 5000 | k: 5\n",
      "Testing raio = 44.0 (mid index: 44)\n",
      "Status for raio 44.0: Optimal\n",
      "Testing raio = 21.0 (mid index: 21)\n",
      "Status for raio 21.0: Infeasible\n",
      "Testing raio = 32.0 (mid index: 32)\n",
      "Status for raio 32.0: Infeasible\n",
      "Testing raio = 38.0 (mid index: 38)\n",
      "Status for raio 38.0: Infeasible\n",
      "Testing raio = 41.0 (mid index: 41)\n",
      "Status for raio 41.0: Optimal\n",
      "Testing raio = 39.0 (mid index: 39)\n",
      "Status for raio 39.0: Infeasible\n",
      "Testing raio = 40.0 (mid index: 40)\n",
      "Status for raio 40.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 40.0 | Time: 394.77 seconds\n",
      "Initial center: 328\n",
      "Selected center: 500 at distance 73.0\n",
      "Selected center: 60 at distance 67.0\n",
      "Selected center: 160 at distance 66.0\n",
      "Selected center: 247 at distance 64.0\n",
      "Approximate Method: Raio Aproximado = 64.0 | Time: 1.39 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed22.txt | |V|: 500 | Arestas: 5000 | k: 10\n",
      "Testing raio = 55.0 (mid index: 55)\n",
      "Status for raio 55.0: Optimal\n",
      "Testing raio = 27.0 (mid index: 27)\n",
      "Status for raio 27.0: Infeasible\n",
      "Testing raio = 41.0 (mid index: 41)\n",
      "Status for raio 41.0: Optimal\n",
      "Testing raio = 34.0 (mid index: 34)\n",
      "Status for raio 34.0: Infeasible\n",
      "Testing raio = 37.0 (mid index: 37)\n",
      "Status for raio 37.0: Infeasible\n",
      "Testing raio = 39.0 (mid index: 39)\n",
      "Status for raio 39.0: Optimal\n",
      "Testing raio = 38.0 (mid index: 38)\n",
      "Status for raio 38.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 38.0 | Time: 238.32 seconds\n",
      "Initial center: 328\n",
      "Selected center: 460 at distance 94.0\n",
      "Selected center: 365 at distance 69.0\n",
      "Selected center: 440 at distance 67.0\n",
      "Selected center: 458 at distance 61.0\n",
      "Selected center: 481 at distance 61.0\n",
      "Selected center: 500 at distance 60.0\n",
      "Selected center: 356 at distance 59.0\n",
      "Selected center: 22 at distance 58.0\n",
      "Selected center: 114 at distance 58.0\n",
      "Approximate Method: Raio Aproximado = 58.0 | Time: 1.30 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed23.txt | |V|: 500 | Arestas: 5000 | k: 50\n",
      "Testing raio = 47.0 (mid index: 47)\n",
      "Status for raio 47.0: Optimal\n",
      "Testing raio = 23.0 (mid index: 23)\n",
      "Status for raio 23.0: Optimal\n",
      "Testing raio = 11.0 (mid index: 11)\n",
      "Status for raio 11.0: Infeasible\n",
      "Testing raio = 17.0 (mid index: 17)\n",
      "Status for raio 17.0: Infeasible\n",
      "Testing raio = 20.0 (mid index: 20)\n",
      "Status for raio 20.0: Infeasible\n",
      "Testing raio = 21.0 (mid index: 21)\n",
      "Status for raio 21.0: Infeasible\n",
      "Testing raio = 22.0 (mid index: 22)\n",
      "Status for raio 22.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 22.0 | Time: 44.04 seconds\n",
      "Initial center: 328\n",
      "Selected center: 64 at distance 67.0\n",
      "Selected center: 166 at distance 67.0\n",
      "Selected center: 39 at distance 65.0\n",
      "Selected center: 30 at distance 64.0\n",
      "Selected center: 183 at distance 62.0\n",
      "Selected center: 10 at distance 59.0\n",
      "Selected center: 313 at distance 58.0\n",
      "Selected center: 158 at distance 57.0\n",
      "Selected center: 201 at distance 57.0\n",
      "Selected center: 187 at distance 55.0\n",
      "Selected center: 269 at distance 54.0\n",
      "Selected center: 362 at distance 54.0\n",
      "Selected center: 347 at distance 53.0\n",
      "Selected center: 398 at distance 52.0\n",
      "Selected center: 333 at distance 51.0\n",
      "Selected center: 214 at distance 50.0\n",
      "Selected center: 240 at distance 50.0\n",
      "Selected center: 33 at distance 49.0\n",
      "Selected center: 179 at distance 49.0\n",
      "Selected center: 46 at distance 46.0\n",
      "Selected center: 256 at distance 46.0\n",
      "Selected center: 325 at distance 46.0\n",
      "Selected center: 308 at distance 45.0\n",
      "Selected center: 485 at distance 45.0\n",
      "Selected center: 92 at distance 44.0\n",
      "Selected center: 154 at distance 44.0\n",
      "Selected center: 246 at distance 44.0\n",
      "Selected center: 417 at distance 44.0\n",
      "Selected center: 63 at distance 42.0\n",
      "Selected center: 281 at distance 42.0\n",
      "Selected center: 288 at distance 42.0\n",
      "Selected center: 294 at distance 42.0\n",
      "Selected center: 59 at distance 41.0\n",
      "Selected center: 141 at distance 41.0\n",
      "Selected center: 173 at distance 41.0\n",
      "Selected center: 436 at distance 41.0\n",
      "Selected center: 7 at distance 40.0\n",
      "Selected center: 57 at distance 40.0\n",
      "Selected center: 61 at distance 40.0\n",
      "Selected center: 277 at distance 40.0\n",
      "Selected center: 15 at distance 39.0\n",
      "Selected center: 113 at distance 39.0\n",
      "Selected center: 301 at distance 38.0\n",
      "Selected center: 486 at distance 38.0\n",
      "Selected center: 125 at distance 36.0\n",
      "Selected center: 309 at distance 36.0\n",
      "Selected center: 363 at distance 36.0\n",
      "Selected center: 182 at distance 35.0\n",
      "Selected center: 316 at distance 35.0\n",
      "Approximate Method: Raio Aproximado = 34.0 | Time: 1.48 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed24.txt | |V|: 500 | Arestas: 5000 | k: 100\n",
      "Testing raio = 47.0 (mid index: 47)\n",
      "Status for raio 47.0: Optimal\n",
      "Testing raio = 23.0 (mid index: 23)\n",
      "Status for raio 23.0: Optimal\n",
      "Testing raio = 11.0 (mid index: 11)\n",
      "Status for raio 11.0: Infeasible\n",
      "Testing raio = 17.0 (mid index: 17)\n",
      "Status for raio 17.0: Optimal\n",
      "Testing raio = 14.0 (mid index: 14)\n",
      "Status for raio 14.0: Infeasible\n",
      "Testing raio = 15.0 (mid index: 15)\n",
      "Status for raio 15.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 15.0 | Time: 19.68 seconds\n",
      "Initial center: 328\n",
      "Selected center: 254 at distance 65.0\n",
      "Selected center: 219 at distance 64.0\n",
      "Selected center: 500 at distance 64.0\n",
      "Selected center: 264 at distance 62.0\n",
      "Selected center: 45 at distance 58.0\n",
      "Selected center: 11 at distance 55.0\n",
      "Selected center: 267 at distance 55.0\n",
      "Selected center: 4 at distance 54.0\n",
      "Selected center: 368 at distance 54.0\n",
      "Selected center: 173 at distance 52.0\n",
      "Selected center: 425 at distance 51.0\n",
      "Selected center: 37 at distance 50.0\n",
      "Selected center: 148 at distance 50.0\n",
      "Selected center: 332 at distance 49.0\n",
      "Selected center: 297 at distance 48.0\n",
      "Selected center: 419 at distance 48.0\n",
      "Selected center: 207 at distance 47.0\n",
      "Selected center: 260 at distance 47.0\n",
      "Selected center: 58 at distance 46.0\n",
      "Selected center: 172 at distance 46.0\n",
      "Selected center: 92 at distance 45.0\n",
      "Selected center: 125 at distance 44.0\n",
      "Selected center: 313 at distance 44.0\n",
      "Selected center: 317 at distance 43.0\n",
      "Selected center: 497 at distance 43.0\n",
      "Selected center: 211 at distance 42.0\n",
      "Selected center: 416 at distance 42.0\n",
      "Selected center: 482 at distance 42.0\n",
      "Selected center: 29 at distance 41.0\n",
      "Selected center: 121 at distance 41.0\n",
      "Selected center: 178 at distance 41.0\n",
      "Selected center: 247 at distance 40.0\n",
      "Selected center: 338 at distance 40.0\n",
      "Selected center: 394 at distance 40.0\n",
      "Selected center: 64 at distance 39.0\n",
      "Selected center: 85 at distance 39.0\n",
      "Selected center: 147 at distance 39.0\n",
      "Selected center: 164 at distance 39.0\n",
      "Selected center: 307 at distance 39.0\n",
      "Selected center: 44 at distance 38.0\n",
      "Selected center: 163 at distance 38.0\n",
      "Selected center: 315 at distance 38.0\n",
      "Selected center: 386 at distance 38.0\n",
      "Selected center: 41 at distance 35.0\n",
      "Selected center: 391 at distance 35.0\n",
      "Selected center: 186 at distance 34.0\n",
      "Selected center: 380 at distance 34.0\n",
      "Selected center: 66 at distance 33.0\n",
      "Selected center: 106 at distance 33.0\n",
      "Selected center: 110 at distance 33.0\n",
      "Selected center: 201 at distance 33.0\n",
      "Selected center: 291 at distance 33.0\n",
      "Selected center: 427 at distance 33.0\n",
      "Selected center: 67 at distance 32.0\n",
      "Selected center: 157 at distance 32.0\n",
      "Selected center: 215 at distance 32.0\n",
      "Selected center: 285 at distance 32.0\n",
      "Selected center: 474 at distance 32.0\n",
      "Selected center: 65 at distance 31.0\n",
      "Selected center: 275 at distance 31.0\n",
      "Selected center: 281 at distance 31.0\n",
      "Selected center: 312 at distance 31.0\n",
      "Selected center: 405 at distance 31.0\n",
      "Selected center: 124 at distance 30.0\n",
      "Selected center: 205 at distance 30.0\n",
      "Selected center: 293 at distance 30.0\n",
      "Selected center: 475 at distance 30.0\n",
      "Selected center: 227 at distance 29.0\n",
      "Selected center: 430 at distance 29.0\n",
      "Selected center: 436 at distance 29.0\n",
      "Selected center: 13 at distance 28.0\n",
      "Selected center: 123 at distance 28.0\n",
      "Selected center: 359 at distance 28.0\n",
      "Selected center: 453 at distance 28.0\n",
      "Selected center: 61 at distance 27.0\n",
      "Selected center: 62 at distance 27.0\n",
      "Selected center: 101 at distance 27.0\n",
      "Selected center: 134 at distance 27.0\n",
      "Selected center: 379 at distance 27.0\n",
      "Selected center: 33 at distance 26.0\n",
      "Selected center: 40 at distance 26.0\n",
      "Selected center: 198 at distance 26.0\n",
      "Selected center: 269 at distance 26.0\n",
      "Selected center: 342 at distance 26.0\n",
      "Selected center: 392 at distance 26.0\n",
      "Selected center: 81 at distance 25.0\n",
      "Selected center: 294 at distance 25.0\n",
      "Selected center: 296 at distance 25.0\n",
      "Selected center: 89 at distance 24.0\n",
      "Selected center: 362 at distance 24.0\n",
      "Selected center: 415 at distance 24.0\n",
      "Selected center: 34 at distance 23.0\n",
      "Selected center: 112 at distance 23.0\n",
      "Selected center: 239 at distance 23.0\n",
      "Selected center: 249 at distance 23.0\n",
      "Selected center: 346 at distance 23.0\n",
      "Selected center: 349 at distance 23.0\n",
      "Selected center: 423 at distance 23.0\n",
      "Selected center: 439 at distance 23.0\n",
      "Approximate Method: Raio Aproximado = 23.0 | Time: 1.71 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed25.txt | |V|: 500 | Arestas: 5000 | k: 167\n",
      "Testing raio = 49.0 (mid index: 49)\n",
      "Status for raio 49.0: Optimal\n",
      "Testing raio = 24.0 (mid index: 24)\n",
      "Status for raio 24.0: Optimal\n",
      "Testing raio = 11.0 (mid index: 11)\n",
      "Status for raio 11.0: Optimal\n",
      "Testing raio = 5.0 (mid index: 5)\n",
      "Status for raio 5.0: Infeasible\n",
      "Testing raio = 8.0 (mid index: 8)\n",
      "Status for raio 8.0: Infeasible\n",
      "Testing raio = 9.0 (mid index: 9)\n",
      "Status for raio 9.0: Infeasible\n",
      "Testing raio = 10.0 (mid index: 10)\n",
      "Status for raio 10.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 11.0 | Time: 21.06 seconds\n",
      "Initial center: 328\n",
      "Selected center: 97 at distance 76.0\n",
      "Selected center: 500 at distance 75.0\n",
      "Selected center: 143 at distance 73.0\n",
      "Selected center: 458 at distance 71.0\n",
      "Selected center: 12 at distance 67.0\n",
      "Selected center: 464 at distance 65.0\n",
      "Selected center: 123 at distance 62.0\n",
      "Selected center: 367 at distance 62.0\n",
      "Selected center: 116 at distance 61.0\n",
      "Selected center: 117 at distance 61.0\n",
      "Selected center: 241 at distance 61.0\n",
      "Selected center: 148 at distance 59.0\n",
      "Selected center: 92 at distance 58.0\n",
      "Selected center: 19 at distance 56.0\n",
      "Selected center: 106 at distance 55.0\n",
      "Selected center: 152 at distance 55.0\n",
      "Selected center: 363 at distance 55.0\n",
      "Selected center: 476 at distance 53.0\n",
      "Selected center: 221 at distance 51.0\n",
      "Selected center: 326 at distance 51.0\n",
      "Selected center: 212 at distance 50.0\n",
      "Selected center: 225 at distance 50.0\n",
      "Selected center: 277 at distance 49.0\n",
      "Selected center: 262 at distance 48.0\n",
      "Selected center: 452 at distance 48.0\n",
      "Selected center: 146 at distance 47.0\n",
      "Selected center: 240 at distance 47.0\n",
      "Selected center: 100 at distance 46.0\n",
      "Selected center: 365 at distance 46.0\n",
      "Selected center: 299 at distance 45.0\n",
      "Selected center: 432 at distance 45.0\n",
      "Selected center: 301 at distance 44.0\n",
      "Selected center: 309 at distance 44.0\n",
      "Selected center: 428 at distance 44.0\n",
      "Selected center: 385 at distance 43.0\n",
      "Selected center: 66 at distance 42.0\n",
      "Selected center: 368 at distance 41.0\n",
      "Selected center: 1 at distance 40.0\n",
      "Selected center: 31 at distance 40.0\n",
      "Selected center: 82 at distance 40.0\n",
      "Selected center: 140 at distance 40.0\n",
      "Selected center: 422 at distance 40.0\n",
      "Selected center: 453 at distance 40.0\n",
      "Selected center: 278 at distance 39.0\n",
      "Selected center: 495 at distance 39.0\n",
      "Selected center: 56 at distance 38.0\n",
      "Selected center: 400 at distance 38.0\n",
      "Selected center: 440 at distance 38.0\n",
      "Selected center: 169 at distance 37.0\n",
      "Selected center: 15 at distance 36.0\n",
      "Selected center: 195 at distance 36.0\n",
      "Selected center: 209 at distance 36.0\n",
      "Selected center: 7 at distance 35.0\n",
      "Selected center: 27 at distance 35.0\n",
      "Selected center: 105 at distance 35.0\n",
      "Selected center: 266 at distance 35.0\n",
      "Selected center: 295 at distance 35.0\n",
      "Selected center: 366 at distance 35.0\n",
      "Selected center: 425 at distance 35.0\n",
      "Selected center: 94 at distance 34.0\n",
      "Selected center: 297 at distance 33.0\n",
      "Selected center: 417 at distance 33.0\n",
      "Selected center: 267 at distance 32.0\n",
      "Selected center: 81 at distance 31.0\n",
      "Selected center: 150 at distance 31.0\n",
      "Selected center: 171 at distance 31.0\n",
      "Selected center: 183 at distance 31.0\n",
      "Selected center: 321 at distance 31.0\n",
      "Selected center: 68 at distance 30.0\n",
      "Selected center: 372 at distance 30.0\n",
      "Selected center: 496 at distance 30.0\n",
      "Selected center: 58 at distance 29.0\n",
      "Selected center: 63 at distance 29.0\n",
      "Selected center: 220 at distance 29.0\n",
      "Selected center: 383 at distance 29.0\n",
      "Selected center: 204 at distance 28.0\n",
      "Selected center: 450 at distance 28.0\n",
      "Selected center: 498 at distance 28.0\n",
      "Selected center: 11 at distance 27.0\n",
      "Selected center: 35 at distance 27.0\n",
      "Selected center: 67 at distance 27.0\n",
      "Selected center: 84 at distance 27.0\n",
      "Selected center: 189 at distance 27.0\n",
      "Selected center: 245 at distance 27.0\n",
      "Selected center: 377 at distance 27.0\n",
      "Selected center: 494 at distance 27.0\n",
      "Selected center: 38 at distance 26.0\n",
      "Selected center: 181 at distance 26.0\n",
      "Selected center: 280 at distance 26.0\n",
      "Selected center: 348 at distance 26.0\n",
      "Selected center: 423 at distance 26.0\n",
      "Selected center: 107 at distance 25.0\n",
      "Selected center: 112 at distance 25.0\n",
      "Selected center: 184 at distance 25.0\n",
      "Selected center: 191 at distance 25.0\n",
      "Selected center: 259 at distance 25.0\n",
      "Selected center: 69 at distance 24.0\n",
      "Selected center: 124 at distance 24.0\n",
      "Selected center: 224 at distance 24.0\n",
      "Selected center: 302 at distance 24.0\n",
      "Selected center: 378 at distance 24.0\n",
      "Selected center: 405 at distance 24.0\n",
      "Selected center: 457 at distance 24.0\n",
      "Selected center: 24 at distance 23.0\n",
      "Selected center: 80 at distance 23.0\n",
      "Selected center: 133 at distance 23.0\n",
      "Selected center: 164 at distance 23.0\n",
      "Selected center: 166 at distance 23.0\n",
      "Selected center: 167 at distance 23.0\n",
      "Selected center: 319 at distance 23.0\n",
      "Selected center: 371 at distance 23.0\n",
      "Selected center: 451 at distance 23.0\n",
      "Selected center: 10 at distance 22.0\n",
      "Selected center: 76 at distance 22.0\n",
      "Selected center: 294 at distance 22.0\n",
      "Selected center: 310 at distance 22.0\n",
      "Selected center: 334 at distance 22.0\n",
      "Selected center: 345 at distance 22.0\n",
      "Selected center: 408 at distance 22.0\n",
      "Selected center: 484 at distance 22.0\n",
      "Selected center: 158 at distance 21.0\n",
      "Selected center: 165 at distance 21.0\n",
      "Selected center: 254 at distance 21.0\n",
      "Selected center: 285 at distance 21.0\n",
      "Selected center: 497 at distance 21.0\n",
      "Selected center: 179 at distance 20.0\n",
      "Selected center: 229 at distance 20.0\n",
      "Selected center: 230 at distance 20.0\n",
      "Selected center: 127 at distance 19.0\n",
      "Selected center: 155 at distance 19.0\n",
      "Selected center: 219 at distance 19.0\n",
      "Selected center: 248 at distance 19.0\n",
      "Selected center: 329 at distance 19.0\n",
      "Selected center: 403 at distance 19.0\n",
      "Selected center: 436 at distance 19.0\n",
      "Selected center: 2 at distance 18.0\n",
      "Selected center: 4 at distance 18.0\n",
      "Selected center: 61 at distance 18.0\n",
      "Selected center: 65 at distance 18.0\n",
      "Selected center: 83 at distance 18.0\n",
      "Selected center: 153 at distance 18.0\n",
      "Selected center: 202 at distance 18.0\n",
      "Selected center: 205 at distance 18.0\n",
      "Selected center: 237 at distance 18.0\n",
      "Selected center: 306 at distance 18.0\n",
      "Selected center: 395 at distance 18.0\n",
      "Selected center: 486 at distance 18.0\n",
      "Selected center: 18 at distance 17.0\n",
      "Selected center: 28 at distance 17.0\n",
      "Selected center: 37 at distance 17.0\n",
      "Selected center: 40 at distance 17.0\n",
      "Selected center: 102 at distance 17.0\n",
      "Selected center: 249 at distance 17.0\n",
      "Selected center: 253 at distance 17.0\n",
      "Selected center: 260 at distance 17.0\n",
      "Selected center: 342 at distance 17.0\n",
      "Selected center: 349 at distance 17.0\n",
      "Selected center: 360 at distance 17.0\n",
      "Selected center: 14 at distance 16.0\n",
      "Selected center: 60 at distance 16.0\n",
      "Selected center: 86 at distance 16.0\n",
      "Selected center: 125 at distance 16.0\n",
      "Selected center: 203 at distance 16.0\n",
      "Selected center: 213 at distance 16.0\n",
      "Selected center: 311 at distance 16.0\n",
      "Selected center: 331 at distance 16.0\n",
      "Approximate Method: Raio Aproximado = 16.0 | Time: 2.12 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed26.txt | |V|: 600 | Arestas: 7200 | k: 5\n",
      "Testing raio = 41.0 (mid index: 41)\n",
      "Status for raio 41.0: Optimal\n",
      "Testing raio = 20.0 (mid index: 20)\n",
      "Status for raio 20.0: Infeasible\n",
      "Testing raio = 30.0 (mid index: 30)\n",
      "Status for raio 30.0: Infeasible\n",
      "Testing raio = 35.0 (mid index: 35)\n",
      "Status for raio 35.0: Infeasible\n",
      "Testing raio = 38.0 (mid index: 38)\n",
      "Status for raio 38.0: Optimal\n",
      "Testing raio = 36.0 (mid index: 36)\n",
      "Status for raio 36.0: Infeasible\n",
      "Testing raio = 37.0 (mid index: 37)\n",
      "Status for raio 37.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 38.0 | Time: 2239.77 seconds\n",
      "Initial center: 115\n",
      "Selected center: 87 at distance 64.0\n",
      "Selected center: 207 at distance 56.0\n",
      "Selected center: 463 at distance 53.0\n",
      "Selected center: 445 at distance 52.0\n",
      "Approximate Method: Raio Aproximado = 51.0 | Time: 3.29 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed27.txt | |V|: 600 | Arestas: 7200 | k: 10\n",
      "Testing raio = 45.0 (mid index: 45)\n",
      "Status for raio 45.0: Optimal\n",
      "Testing raio = 22.0 (mid index: 22)\n",
      "Status for raio 22.0: Infeasible\n",
      "Testing raio = 33.0 (mid index: 33)\n",
      "Status for raio 33.0: Optimal\n",
      "Testing raio = 27.0 (mid index: 27)\n",
      "Status for raio 27.0: Infeasible\n",
      "Testing raio = 30.0 (mid index: 30)\n",
      "Status for raio 30.0: Infeasible\n",
      "Testing raio = 31.0 (mid index: 31)\n",
      "Status for raio 31.0: Infeasible\n",
      "Testing raio = 32.0 (mid index: 32)\n",
      "Status for raio 32.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 32.0 | Time: 760.74 seconds\n",
      "Initial center: 115\n",
      "Selected center: 600 at distance 77.0\n",
      "Selected center: 552 at distance 61.0\n",
      "Selected center: 407 at distance 55.0\n",
      "Selected center: 414 at distance 55.0\n",
      "Selected center: 463 at distance 53.0\n",
      "Selected center: 25 at distance 51.0\n",
      "Selected center: 529 at distance 51.0\n",
      "Selected center: 564 at distance 51.0\n",
      "Selected center: 194 at distance 50.0\n",
      "Approximate Method: Raio Aproximado = 50.0 | Time: 3.38 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed28.txt | |V|: 600 | Arestas: 7200 | k: 60\n",
      "Testing raio = 53.0 (mid index: 53)\n",
      "Status for raio 53.0: Optimal\n",
      "Testing raio = 26.0 (mid index: 26)\n",
      "Status for raio 26.0: Optimal\n",
      "Testing raio = 12.0 (mid index: 12)\n",
      "Status for raio 12.0: Infeasible\n",
      "Testing raio = 19.0 (mid index: 19)\n",
      "Status for raio 19.0: Optimal\n",
      "Testing raio = 15.0 (mid index: 15)\n",
      "Status for raio 15.0: Infeasible\n",
      "Testing raio = 17.0 (mid index: 17)\n",
      "Status for raio 17.0: Infeasible\n",
      "Testing raio = 18.0 (mid index: 18)\n",
      "Status for raio 18.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 18.0 | Time: 77.98 seconds\n",
      "Initial center: 115\n",
      "Selected center: 600 at distance 84.0\n",
      "Selected center: 463 at distance 56.0\n",
      "Selected center: 368 at distance 53.0\n",
      "Selected center: 553 at distance 52.0\n",
      "Selected center: 35 at distance 51.0\n",
      "Selected center: 399 at distance 49.0\n",
      "Selected center: 579 at distance 47.0\n",
      "Selected center: 310 at distance 46.0\n",
      "Selected center: 470 at distance 46.0\n",
      "Selected center: 106 at distance 44.0\n",
      "Selected center: 201 at distance 44.0\n",
      "Selected center: 446 at distance 44.0\n",
      "Selected center: 472 at distance 44.0\n",
      "Selected center: 103 at distance 43.0\n",
      "Selected center: 477 at distance 43.0\n",
      "Selected center: 32 at distance 42.0\n",
      "Selected center: 87 at distance 42.0\n",
      "Selected center: 100 at distance 42.0\n",
      "Selected center: 268 at distance 42.0\n",
      "Selected center: 287 at distance 42.0\n",
      "Selected center: 18 at distance 40.0\n",
      "Selected center: 529 at distance 40.0\n",
      "Selected center: 290 at distance 39.0\n",
      "Selected center: 574 at distance 39.0\n",
      "Selected center: 362 at distance 38.0\n",
      "Selected center: 413 at distance 38.0\n",
      "Selected center: 427 at distance 38.0\n",
      "Selected center: 519 at distance 38.0\n",
      "Selected center: 175 at distance 37.0\n",
      "Selected center: 247 at distance 37.0\n",
      "Selected center: 308 at distance 37.0\n",
      "Selected center: 524 at distance 37.0\n",
      "Selected center: 261 at distance 36.0\n",
      "Selected center: 303 at distance 36.0\n",
      "Selected center: 311 at distance 36.0\n",
      "Selected center: 460 at distance 36.0\n",
      "Selected center: 43 at distance 35.0\n",
      "Selected center: 155 at distance 35.0\n",
      "Selected center: 159 at distance 35.0\n",
      "Selected center: 208 at distance 34.0\n",
      "Selected center: 232 at distance 34.0\n",
      "Selected center: 280 at distance 34.0\n",
      "Selected center: 5 at distance 33.0\n",
      "Selected center: 23 at distance 32.0\n",
      "Selected center: 523 at distance 32.0\n",
      "Selected center: 210 at distance 31.0\n",
      "Selected center: 366 at distance 31.0\n",
      "Selected center: 495 at distance 31.0\n",
      "Selected center: 557 at distance 31.0\n",
      "Selected center: 587 at distance 31.0\n",
      "Selected center: 30 at distance 30.0\n",
      "Selected center: 258 at distance 30.0\n",
      "Selected center: 332 at distance 30.0\n",
      "Selected center: 62 at distance 29.0\n",
      "Selected center: 69 at distance 29.0\n",
      "Selected center: 217 at distance 29.0\n",
      "Selected center: 263 at distance 29.0\n",
      "Selected center: 407 at distance 29.0\n",
      "Selected center: 577 at distance 29.0\n",
      "Approximate Method: Raio Aproximado = 28.0 | Time: 3.43 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed29.txt | |V|: 600 | Arestas: 7200 | k: 120\n",
      "Testing raio = 43.0 (mid index: 43)\n",
      "Status for raio 43.0: Optimal\n",
      "Testing raio = 21.0 (mid index: 21)\n",
      "Status for raio 21.0: Optimal\n",
      "Testing raio = 10.0 (mid index: 10)\n",
      "Status for raio 10.0: Infeasible\n",
      "Testing raio = 15.0 (mid index: 15)\n",
      "Status for raio 15.0: Optimal\n",
      "Testing raio = 12.0 (mid index: 12)\n",
      "Status for raio 12.0: Infeasible\n",
      "Testing raio = 13.0 (mid index: 13)\n",
      "Status for raio 13.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 13.0 | Time: 41.69 seconds\n",
      "Initial center: 115\n",
      "Selected center: 600 at distance 68.0\n",
      "Selected center: 263 at distance 65.0\n",
      "Selected center: 64 at distance 64.0\n",
      "Selected center: 289 at distance 60.0\n",
      "Selected center: 268 at distance 59.0\n",
      "Selected center: 359 at distance 57.0\n",
      "Selected center: 209 at distance 56.0\n",
      "Selected center: 258 at distance 55.0\n",
      "Selected center: 410 at distance 53.0\n",
      "Selected center: 114 at distance 51.0\n",
      "Selected center: 112 at distance 50.0\n",
      "Selected center: 11 at distance 48.0\n",
      "Selected center: 360 at distance 48.0\n",
      "Selected center: 577 at distance 48.0\n",
      "Selected center: 383 at distance 47.0\n",
      "Selected center: 384 at distance 46.0\n",
      "Selected center: 62 at distance 45.0\n",
      "Selected center: 411 at distance 45.0\n",
      "Selected center: 431 at distance 45.0\n",
      "Selected center: 519 at distance 45.0\n",
      "Selected center: 582 at distance 45.0\n",
      "Selected center: 274 at distance 44.0\n",
      "Selected center: 563 at distance 44.0\n",
      "Selected center: 473 at distance 43.0\n",
      "Selected center: 550 at distance 43.0\n",
      "Selected center: 588 at distance 41.0\n",
      "Selected center: 201 at distance 40.0\n",
      "Selected center: 226 at distance 40.0\n",
      "Selected center: 49 at distance 39.0\n",
      "Selected center: 418 at distance 39.0\n",
      "Selected center: 245 at distance 38.0\n",
      "Selected center: 256 at distance 37.0\n",
      "Selected center: 264 at distance 37.0\n",
      "Selected center: 327 at distance 37.0\n",
      "Selected center: 440 at distance 37.0\n",
      "Selected center: 22 at distance 36.0\n",
      "Selected center: 55 at distance 36.0\n",
      "Selected center: 532 at distance 36.0\n",
      "Selected center: 16 at distance 35.0\n",
      "Selected center: 78 at distance 34.0\n",
      "Selected center: 133 at distance 34.0\n",
      "Selected center: 426 at distance 34.0\n",
      "Selected center: 521 at distance 34.0\n",
      "Selected center: 28 at distance 33.0\n",
      "Selected center: 438 at distance 33.0\n",
      "Selected center: 161 at distance 32.0\n",
      "Selected center: 347 at distance 32.0\n",
      "Selected center: 349 at distance 32.0\n",
      "Selected center: 499 at distance 32.0\n",
      "Selected center: 74 at distance 31.0\n",
      "Selected center: 83 at distance 31.0\n",
      "Selected center: 269 at distance 31.0\n",
      "Selected center: 286 at distance 31.0\n",
      "Selected center: 397 at distance 31.0\n",
      "Selected center: 221 at distance 30.0\n",
      "Selected center: 308 at distance 30.0\n",
      "Selected center: 336 at distance 30.0\n",
      "Selected center: 350 at distance 30.0\n",
      "Selected center: 413 at distance 30.0\n",
      "Selected center: 463 at distance 30.0\n",
      "Selected center: 493 at distance 30.0\n",
      "Selected center: 68 at distance 29.0\n",
      "Selected center: 569 at distance 29.0\n",
      "Selected center: 32 at distance 28.0\n",
      "Selected center: 182 at distance 28.0\n",
      "Selected center: 311 at distance 28.0\n",
      "Selected center: 509 at distance 28.0\n",
      "Selected center: 4 at distance 27.0\n",
      "Selected center: 65 at distance 27.0\n",
      "Selected center: 69 at distance 27.0\n",
      "Selected center: 171 at distance 27.0\n",
      "Selected center: 215 at distance 27.0\n",
      "Selected center: 250 at distance 27.0\n",
      "Selected center: 267 at distance 27.0\n",
      "Selected center: 273 at distance 27.0\n",
      "Selected center: 275 at distance 27.0\n",
      "Selected center: 132 at distance 26.0\n",
      "Selected center: 232 at distance 26.0\n",
      "Selected center: 355 at distance 26.0\n",
      "Selected center: 450 at distance 26.0\n",
      "Selected center: 494 at distance 26.0\n",
      "Selected center: 593 at distance 26.0\n",
      "Selected center: 8 at distance 25.0\n",
      "Selected center: 45 at distance 25.0\n",
      "Selected center: 70 at distance 25.0\n",
      "Selected center: 236 at distance 25.0\n",
      "Selected center: 389 at distance 25.0\n",
      "Selected center: 97 at distance 24.0\n",
      "Selected center: 196 at distance 24.0\n",
      "Selected center: 335 at distance 24.0\n",
      "Selected center: 399 at distance 24.0\n",
      "Selected center: 422 at distance 24.0\n",
      "Selected center: 434 at distance 24.0\n",
      "Selected center: 91 at distance 23.0\n",
      "Selected center: 111 at distance 23.0\n",
      "Selected center: 213 at distance 23.0\n",
      "Selected center: 247 at distance 23.0\n",
      "Selected center: 260 at distance 23.0\n",
      "Selected center: 127 at distance 22.0\n",
      "Selected center: 137 at distance 22.0\n",
      "Selected center: 145 at distance 22.0\n",
      "Selected center: 175 at distance 22.0\n",
      "Selected center: 437 at distance 22.0\n",
      "Selected center: 460 at distance 22.0\n",
      "Selected center: 598 at distance 22.0\n",
      "Selected center: 102 at distance 21.0\n",
      "Selected center: 130 at distance 21.0\n",
      "Selected center: 138 at distance 21.0\n",
      "Selected center: 200 at distance 21.0\n",
      "Selected center: 287 at distance 21.0\n",
      "Selected center: 318 at distance 21.0\n",
      "Selected center: 353 at distance 21.0\n",
      "Selected center: 379 at distance 21.0\n",
      "Selected center: 421 at distance 21.0\n",
      "Selected center: 492 at distance 21.0\n",
      "Selected center: 177 at distance 20.0\n",
      "Selected center: 313 at distance 20.0\n",
      "Selected center: 328 at distance 20.0\n",
      "Selected center: 331 at distance 20.0\n",
      "Approximate Method: Raio Aproximado = 20.0 | Time: 4.75 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed30.txt | |V|: 600 | Arestas: 7200 | k: 200\n",
      "Testing raio = 47.0 (mid index: 47)\n",
      "Status for raio 47.0: Optimal\n",
      "Testing raio = 23.0 (mid index: 23)\n",
      "Status for raio 23.0: Optimal\n",
      "Testing raio = 11.0 (mid index: 11)\n",
      "Status for raio 11.0: Optimal\n",
      "Testing raio = 5.0 (mid index: 5)\n",
      "Status for raio 5.0: Infeasible\n",
      "Testing raio = 8.0 (mid index: 8)\n",
      "Status for raio 8.0: Infeasible\n",
      "Testing raio = 9.0 (mid index: 9)\n",
      "Status for raio 9.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 9.0 | Time: 41.77 seconds\n",
      "Initial center: 115\n",
      "Selected center: 507 at distance 73.0\n",
      "Selected center: 456 at distance 62.0\n",
      "Selected center: 70 at distance 57.0\n",
      "Selected center: 236 at distance 55.0\n",
      "Selected center: 161 at distance 53.0\n",
      "Selected center: 523 at distance 53.0\n",
      "Selected center: 186 at distance 50.0\n",
      "Selected center: 111 at distance 49.0\n",
      "Selected center: 380 at distance 49.0\n",
      "Selected center: 583 at distance 49.0\n",
      "Selected center: 215 at distance 48.0\n",
      "Selected center: 305 at distance 48.0\n",
      "Selected center: 180 at distance 47.0\n",
      "Selected center: 19 at distance 45.0\n",
      "Selected center: 153 at distance 45.0\n",
      "Selected center: 459 at distance 45.0\n",
      "Selected center: 304 at distance 44.0\n",
      "Selected center: 487 at distance 44.0\n",
      "Selected center: 600 at distance 44.0\n",
      "Selected center: 116 at distance 43.0\n",
      "Selected center: 136 at distance 43.0\n",
      "Selected center: 198 at distance 43.0\n",
      "Selected center: 256 at distance 43.0\n",
      "Selected center: 334 at distance 43.0\n",
      "Selected center: 479 at distance 41.0\n",
      "Selected center: 239 at distance 40.0\n",
      "Selected center: 336 at distance 40.0\n",
      "Selected center: 418 at distance 40.0\n",
      "Selected center: 508 at distance 40.0\n",
      "Selected center: 21 at distance 39.0\n",
      "Selected center: 178 at distance 39.0\n",
      "Selected center: 407 at distance 39.0\n",
      "Selected center: 533 at distance 39.0\n",
      "Selected center: 406 at distance 38.0\n",
      "Selected center: 33 at distance 37.0\n",
      "Selected center: 197 at distance 37.0\n",
      "Selected center: 206 at distance 37.0\n",
      "Selected center: 252 at distance 37.0\n",
      "Selected center: 3 at distance 36.0\n",
      "Selected center: 325 at distance 36.0\n",
      "Selected center: 358 at distance 36.0\n",
      "Selected center: 394 at distance 35.0\n",
      "Selected center: 505 at distance 35.0\n",
      "Selected center: 599 at distance 35.0\n",
      "Selected center: 7 at distance 34.0\n",
      "Selected center: 147 at distance 34.0\n",
      "Selected center: 187 at distance 34.0\n",
      "Selected center: 192 at distance 34.0\n",
      "Selected center: 80 at distance 33.0\n",
      "Selected center: 231 at distance 33.0\n",
      "Selected center: 286 at distance 33.0\n",
      "Selected center: 386 at distance 33.0\n",
      "Selected center: 420 at distance 33.0\n",
      "Selected center: 90 at distance 32.0\n",
      "Selected center: 150 at distance 32.0\n",
      "Selected center: 401 at distance 32.0\n",
      "Selected center: 416 at distance 32.0\n",
      "Selected center: 42 at distance 31.0\n",
      "Selected center: 104 at distance 31.0\n",
      "Selected center: 293 at distance 31.0\n",
      "Selected center: 208 at distance 30.0\n",
      "Selected center: 540 at distance 30.0\n",
      "Selected center: 133 at distance 29.0\n",
      "Selected center: 175 at distance 29.0\n",
      "Selected center: 515 at distance 29.0\n",
      "Selected center: 75 at distance 28.0\n",
      "Selected center: 248 at distance 28.0\n",
      "Selected center: 290 at distance 28.0\n",
      "Selected center: 318 at distance 28.0\n",
      "Selected center: 374 at distance 28.0\n",
      "Selected center: 511 at distance 28.0\n",
      "Selected center: 546 at distance 28.0\n",
      "Selected center: 112 at distance 27.0\n",
      "Selected center: 144 at distance 27.0\n",
      "Selected center: 155 at distance 27.0\n",
      "Selected center: 168 at distance 27.0\n",
      "Selected center: 183 at distance 27.0\n",
      "Selected center: 273 at distance 27.0\n",
      "Selected center: 460 at distance 27.0\n",
      "Selected center: 71 at distance 26.0\n",
      "Selected center: 126 at distance 26.0\n",
      "Selected center: 199 at distance 26.0\n",
      "Selected center: 457 at distance 26.0\n",
      "Selected center: 555 at distance 26.0\n",
      "Selected center: 66 at distance 25.0\n",
      "Selected center: 96 at distance 25.0\n",
      "Selected center: 302 at distance 25.0\n",
      "Selected center: 426 at distance 25.0\n",
      "Selected center: 164 at distance 24.0\n",
      "Selected center: 190 at distance 24.0\n",
      "Selected center: 219 at distance 24.0\n",
      "Selected center: 240 at distance 24.0\n",
      "Selected center: 288 at distance 24.0\n",
      "Selected center: 400 at distance 24.0\n",
      "Selected center: 430 at distance 24.0\n",
      "Selected center: 450 at distance 24.0\n",
      "Selected center: 452 at distance 24.0\n",
      "Selected center: 559 at distance 24.0\n",
      "Selected center: 146 at distance 23.0\n",
      "Selected center: 212 at distance 23.0\n",
      "Selected center: 232 at distance 23.0\n",
      "Selected center: 272 at distance 23.0\n",
      "Selected center: 557 at distance 23.0\n",
      "Selected center: 37 at distance 22.0\n",
      "Selected center: 307 at distance 22.0\n",
      "Selected center: 497 at distance 22.0\n",
      "Selected center: 524 at distance 22.0\n",
      "Selected center: 553 at distance 22.0\n",
      "Selected center: 562 at distance 22.0\n",
      "Selected center: 28 at distance 21.0\n",
      "Selected center: 88 at distance 21.0\n",
      "Selected center: 130 at distance 21.0\n",
      "Selected center: 249 at distance 21.0\n",
      "Selected center: 354 at distance 21.0\n",
      "Selected center: 458 at distance 21.0\n",
      "Selected center: 532 at distance 21.0\n",
      "Selected center: 550 at distance 21.0\n",
      "Selected center: 23 at distance 20.0\n",
      "Selected center: 35 at distance 20.0\n",
      "Selected center: 127 at distance 20.0\n",
      "Selected center: 172 at distance 20.0\n",
      "Selected center: 228 at distance 20.0\n",
      "Selected center: 425 at distance 20.0\n",
      "Selected center: 466 at distance 20.0\n",
      "Selected center: 473 at distance 20.0\n",
      "Selected center: 474 at distance 20.0\n",
      "Selected center: 527 at distance 20.0\n",
      "Selected center: 595 at distance 20.0\n",
      "Selected center: 54 at distance 19.0\n",
      "Selected center: 98 at distance 19.0\n",
      "Selected center: 142 at distance 19.0\n",
      "Selected center: 237 at distance 19.0\n",
      "Selected center: 243 at distance 19.0\n",
      "Selected center: 244 at distance 19.0\n",
      "Selected center: 306 at distance 19.0\n",
      "Selected center: 316 at distance 19.0\n",
      "Selected center: 370 at distance 19.0\n",
      "Selected center: 375 at distance 19.0\n",
      "Selected center: 403 at distance 19.0\n",
      "Selected center: 419 at distance 19.0\n",
      "Selected center: 441 at distance 19.0\n",
      "Selected center: 462 at distance 19.0\n",
      "Selected center: 521 at distance 19.0\n",
      "Selected center: 51 at distance 18.0\n",
      "Selected center: 259 at distance 18.0\n",
      "Selected center: 275 at distance 18.0\n",
      "Selected center: 398 at distance 18.0\n",
      "Selected center: 34 at distance 17.0\n",
      "Selected center: 81 at distance 17.0\n",
      "Selected center: 89 at distance 17.0\n",
      "Selected center: 108 at distance 17.0\n",
      "Selected center: 292 at distance 17.0\n",
      "Selected center: 301 at distance 17.0\n",
      "Selected center: 353 at distance 17.0\n",
      "Selected center: 365 at distance 17.0\n",
      "Selected center: 8 at distance 16.0\n",
      "Selected center: 18 at distance 16.0\n",
      "Selected center: 86 at distance 16.0\n",
      "Selected center: 91 at distance 16.0\n",
      "Selected center: 128 at distance 16.0\n",
      "Selected center: 160 at distance 16.0\n",
      "Selected center: 263 at distance 16.0\n",
      "Selected center: 449 at distance 16.0\n",
      "Selected center: 558 at distance 16.0\n",
      "Selected center: 6 at distance 15.0\n",
      "Selected center: 72 at distance 15.0\n",
      "Selected center: 77 at distance 15.0\n",
      "Selected center: 97 at distance 15.0\n",
      "Selected center: 151 at distance 15.0\n",
      "Selected center: 280 at distance 15.0\n",
      "Selected center: 339 at distance 15.0\n",
      "Selected center: 395 at distance 15.0\n",
      "Selected center: 421 at distance 15.0\n",
      "Selected center: 475 at distance 15.0\n",
      "Selected center: 488 at distance 15.0\n",
      "Selected center: 547 at distance 15.0\n",
      "Selected center: 580 at distance 15.0\n",
      "Selected center: 31 at distance 14.0\n",
      "Selected center: 36 at distance 14.0\n",
      "Selected center: 39 at distance 14.0\n",
      "Selected center: 118 at distance 14.0\n",
      "Selected center: 134 at distance 14.0\n",
      "Selected center: 176 at distance 14.0\n",
      "Selected center: 182 at distance 14.0\n",
      "Selected center: 242 at distance 14.0\n",
      "Selected center: 247 at distance 14.0\n",
      "Selected center: 261 at distance 14.0\n",
      "Selected center: 350 at distance 14.0\n",
      "Selected center: 363 at distance 14.0\n",
      "Selected center: 387 at distance 14.0\n",
      "Selected center: 397 at distance 14.0\n",
      "Selected center: 402 at distance 14.0\n",
      "Selected center: 431 at distance 14.0\n",
      "Selected center: 464 at distance 14.0\n",
      "Selected center: 476 at distance 14.0\n",
      "Selected center: 573 at distance 14.0\n",
      "Selected center: 584 at distance 14.0\n",
      "Selected center: 596 at distance 14.0\n",
      "Selected center: 56 at distance 13.0\n",
      "Approximate Method: Raio Aproximado = 13.0 | Time: 6.07 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed31.txt | |V|: 700 | Arestas: 9800 | k: 5\n",
      "Testing raio = 32.0 (mid index: 32)\n",
      "Status for raio 32.0: Optimal\n",
      "Testing raio = 15.0 (mid index: 15)\n",
      "Status for raio 15.0: Infeasible\n",
      "Testing raio = 23.0 (mid index: 23)\n",
      "Status for raio 23.0: Infeasible\n",
      "Testing raio = 27.0 (mid index: 27)\n",
      "Status for raio 27.0: Infeasible\n",
      "Testing raio = 29.0 (mid index: 29)\n",
      "Status for raio 29.0: Infeasible\n",
      "Testing raio = 30.0 (mid index: 30)\n",
      "Status for raio 30.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 30.0 | Time: 6658.31 seconds\n",
      "Initial center: 655\n",
      "Selected center: 552 at distance 58.0\n",
      "Selected center: 364 at distance 56.0\n",
      "Selected center: 654 at distance 51.0\n",
      "Selected center: 393 at distance 49.0\n",
      "Approximate Method: Raio Aproximado = 49.0 | Time: 9.16 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed32.txt | |V|: 700 | Arestas: 9800 | k: 10\n",
      "Testing raio = 58.0 (mid index: 58)\n",
      "Status for raio 58.0: Optimal\n",
      "Testing raio = 28.0 (mid index: 28)\n",
      "Status for raio 28.0: Infeasible\n",
      "Testing raio = 43.0 (mid index: 43)\n",
      "Status for raio 43.0: Optimal\n",
      "Testing raio = 35.0 (mid index: 35)\n",
      "Status for raio 35.0: Optimal\n",
      "Testing raio = 31.0 (mid index: 31)\n",
      "Status for raio 31.0: Optimal\n",
      "Testing raio = 29.0 (mid index: 29)\n",
      "Status for raio 29.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 29.0 | Time: 13681.38 seconds\n",
      "Initial center: 655\n",
      "Selected center: 700 at distance 96.0\n",
      "Selected center: 420 at distance 56.0\n",
      "Selected center: 197 at distance 55.0\n",
      "Selected center: 135 at distance 54.0\n",
      "Selected center: 205 at distance 47.0\n",
      "Selected center: 242 at distance 47.0\n",
      "Selected center: 628 at distance 47.0\n",
      "Selected center: 142 at distance 45.0\n",
      "Selected center: 52 at distance 44.0\n",
      "Approximate Method: Raio Aproximado = 44.0 | Time: 3.02 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed33.txt | |V|: 700 | Arestas: 9800 | k: 70\n",
      "Testing raio = 35.0 (mid index: 35)\n",
      "Status for raio 35.0: Optimal\n",
      "Testing raio = 17.0 (mid index: 17)\n",
      "Status for raio 17.0: Optimal\n",
      "Testing raio = 8.0 (mid index: 8)\n",
      "Status for raio 8.0: Infeasible\n",
      "Testing raio = 12.0 (mid index: 12)\n",
      "Status for raio 12.0: Infeasible\n",
      "Testing raio = 14.0 (mid index: 14)\n",
      "Status for raio 14.0: Infeasible\n",
      "Testing raio = 15.0 (mid index: 15)\n",
      "Status for raio 15.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 15.0 | Time: 69.20 seconds\n",
      "Initial center: 655\n",
      "Selected center: 680 at distance 51.0\n",
      "Selected center: 647 at distance 49.0\n",
      "Selected center: 580 at distance 46.0\n",
      "Selected center: 525 at distance 45.0\n",
      "Selected center: 700 at distance 45.0\n",
      "Selected center: 473 at distance 44.0\n",
      "Selected center: 599 at distance 44.0\n",
      "Selected center: 231 at distance 43.0\n",
      "Selected center: 252 at distance 43.0\n",
      "Selected center: 273 at distance 43.0\n",
      "Selected center: 293 at distance 41.0\n",
      "Selected center: 126 at distance 40.0\n",
      "Selected center: 84 at distance 39.0\n",
      "Selected center: 526 at distance 39.0\n",
      "Selected center: 656 at distance 39.0\n",
      "Selected center: 227 at distance 38.0\n",
      "Selected center: 341 at distance 38.0\n",
      "Selected center: 561 at distance 38.0\n",
      "Selected center: 212 at distance 37.0\n",
      "Selected center: 496 at distance 37.0\n",
      "Selected center: 607 at distance 37.0\n",
      "Selected center: 125 at distance 36.0\n",
      "Selected center: 13 at distance 34.0\n",
      "Selected center: 22 at distance 34.0\n",
      "Selected center: 87 at distance 34.0\n",
      "Selected center: 282 at distance 34.0\n",
      "Selected center: 516 at distance 34.0\n",
      "Selected center: 21 at distance 33.0\n",
      "Selected center: 90 at distance 33.0\n",
      "Selected center: 339 at distance 33.0\n",
      "Selected center: 457 at distance 33.0\n",
      "Selected center: 300 at distance 32.0\n",
      "Selected center: 304 at distance 32.0\n",
      "Selected center: 318 at distance 32.0\n",
      "Selected center: 640 at distance 32.0\n",
      "Selected center: 63 at distance 31.0\n",
      "Selected center: 175 at distance 30.0\n",
      "Selected center: 243 at distance 30.0\n",
      "Selected center: 391 at distance 30.0\n",
      "Selected center: 414 at distance 30.0\n",
      "Selected center: 451 at distance 30.0\n",
      "Selected center: 455 at distance 30.0\n",
      "Selected center: 456 at distance 30.0\n",
      "Selected center: 460 at distance 30.0\n",
      "Selected center: 669 at distance 30.0\n",
      "Selected center: 77 at distance 29.0\n",
      "Selected center: 139 at distance 29.0\n",
      "Selected center: 220 at distance 29.0\n",
      "Selected center: 430 at distance 29.0\n",
      "Selected center: 610 at distance 29.0\n",
      "Selected center: 241 at distance 28.0\n",
      "Selected center: 371 at distance 28.0\n",
      "Selected center: 424 at distance 28.0\n",
      "Selected center: 612 at distance 28.0\n",
      "Selected center: 654 at distance 28.0\n",
      "Selected center: 71 at distance 27.0\n",
      "Selected center: 110 at distance 27.0\n",
      "Selected center: 292 at distance 27.0\n",
      "Selected center: 677 at distance 27.0\n",
      "Selected center: 25 at distance 26.0\n",
      "Selected center: 59 at distance 26.0\n",
      "Selected center: 145 at distance 26.0\n",
      "Selected center: 183 at distance 26.0\n",
      "Selected center: 449 at distance 26.0\n",
      "Selected center: 484 at distance 26.0\n",
      "Selected center: 492 at distance 26.0\n",
      "Selected center: 523 at distance 26.0\n",
      "Selected center: 622 at distance 26.0\n",
      "Selected center: 53 at distance 25.0\n",
      "Approximate Method: Raio Aproximado = 25.0 | Time: 3.04 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed34.txt | |V|: 700 | Arestas: 9800 | k: 140\n",
      "Testing raio = 47.0 (mid index: 47)\n",
      "Status for raio 47.0: Optimal\n",
      "Testing raio = 23.0 (mid index: 23)\n",
      "Status for raio 23.0: Optimal\n",
      "Testing raio = 11.0 (mid index: 11)\n",
      "Status for raio 11.0: Optimal\n",
      "Testing raio = 5.0 (mid index: 5)\n",
      "Status for raio 5.0: Infeasible\n",
      "Testing raio = 8.0 (mid index: 8)\n",
      "Status for raio 8.0: Infeasible\n",
      "Testing raio = 9.0 (mid index: 9)\n",
      "Status for raio 9.0: Infeasible\n",
      "Testing raio = 10.0 (mid index: 10)\n",
      "Status for raio 10.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 11.0 | Time: 44.25 seconds\n",
      "Initial center: 655\n",
      "Selected center: 700 at distance 74.0\n",
      "Selected center: 476 at distance 49.0\n",
      "Selected center: 255 at distance 47.0\n",
      "Selected center: 38 at distance 46.0\n",
      "Selected center: 324 at distance 46.0\n",
      "Selected center: 519 at distance 45.0\n",
      "Selected center: 2 at distance 43.0\n",
      "Selected center: 338 at distance 43.0\n",
      "Selected center: 174 at distance 42.0\n",
      "Selected center: 463 at distance 42.0\n",
      "Selected center: 6 at distance 41.0\n",
      "Selected center: 682 at distance 41.0\n",
      "Selected center: 456 at distance 40.0\n",
      "Selected center: 196 at distance 39.0\n",
      "Selected center: 238 at distance 39.0\n",
      "Selected center: 315 at distance 39.0\n",
      "Selected center: 449 at distance 39.0\n",
      "Selected center: 330 at distance 38.0\n",
      "Selected center: 336 at distance 38.0\n",
      "Selected center: 576 at distance 38.0\n",
      "Selected center: 26 at distance 37.0\n",
      "Selected center: 181 at distance 36.0\n",
      "Selected center: 184 at distance 36.0\n",
      "Selected center: 363 at distance 36.0\n",
      "Selected center: 263 at distance 35.0\n",
      "Selected center: 534 at distance 35.0\n",
      "Selected center: 642 at distance 35.0\n",
      "Selected center: 44 at distance 34.0\n",
      "Selected center: 140 at distance 34.0\n",
      "Selected center: 193 at distance 34.0\n",
      "Selected center: 307 at distance 33.0\n",
      "Selected center: 654 at distance 33.0\n",
      "Selected center: 49 at distance 32.0\n",
      "Selected center: 147 at distance 32.0\n",
      "Selected center: 210 at distance 32.0\n",
      "Selected center: 280 at distance 32.0\n",
      "Selected center: 471 at distance 32.0\n",
      "Selected center: 92 at distance 31.0\n",
      "Selected center: 204 at distance 31.0\n",
      "Selected center: 261 at distance 31.0\n",
      "Selected center: 310 at distance 31.0\n",
      "Selected center: 319 at distance 31.0\n",
      "Selected center: 415 at distance 31.0\n",
      "Selected center: 696 at distance 31.0\n",
      "Selected center: 258 at distance 30.0\n",
      "Selected center: 419 at distance 30.0\n",
      "Selected center: 509 at distance 30.0\n",
      "Selected center: 539 at distance 30.0\n",
      "Selected center: 694 at distance 30.0\n",
      "Selected center: 3 at distance 29.0\n",
      "Selected center: 515 at distance 29.0\n",
      "Selected center: 667 at distance 29.0\n",
      "Selected center: 341 at distance 28.0\n",
      "Selected center: 362 at distance 28.0\n",
      "Selected center: 668 at distance 28.0\n",
      "Selected center: 105 at distance 27.0\n",
      "Selected center: 348 at distance 27.0\n",
      "Selected center: 425 at distance 27.0\n",
      "Selected center: 201 at distance 26.0\n",
      "Selected center: 470 at distance 26.0\n",
      "Selected center: 20 at distance 25.0\n",
      "Selected center: 57 at distance 25.0\n",
      "Selected center: 125 at distance 25.0\n",
      "Selected center: 179 at distance 25.0\n",
      "Selected center: 236 at distance 25.0\n",
      "Selected center: 620 at distance 25.0\n",
      "Selected center: 56 at distance 24.0\n",
      "Selected center: 90 at distance 24.0\n",
      "Selected center: 106 at distance 24.0\n",
      "Selected center: 241 at distance 24.0\n",
      "Selected center: 477 at distance 24.0\n",
      "Selected center: 670 at distance 24.0\n",
      "Selected center: 50 at distance 23.0\n",
      "Selected center: 162 at distance 23.0\n",
      "Selected center: 205 at distance 23.0\n",
      "Selected center: 360 at distance 23.0\n",
      "Selected center: 479 at distance 23.0\n",
      "Selected center: 585 at distance 23.0\n",
      "Selected center: 621 at distance 23.0\n",
      "Selected center: 650 at distance 23.0\n",
      "Selected center: 27 at distance 22.0\n",
      "Selected center: 54 at distance 22.0\n",
      "Selected center: 112 at distance 22.0\n",
      "Selected center: 169 at distance 22.0\n",
      "Selected center: 256 at distance 22.0\n",
      "Selected center: 334 at distance 22.0\n",
      "Selected center: 447 at distance 22.0\n",
      "Selected center: 592 at distance 22.0\n",
      "Selected center: 637 at distance 22.0\n",
      "Selected center: 41 at distance 21.0\n",
      "Selected center: 48 at distance 21.0\n",
      "Selected center: 122 at distance 21.0\n",
      "Selected center: 295 at distance 21.0\n",
      "Selected center: 313 at distance 21.0\n",
      "Selected center: 414 at distance 21.0\n",
      "Selected center: 422 at distance 21.0\n",
      "Selected center: 493 at distance 21.0\n",
      "Selected center: 572 at distance 21.0\n",
      "Selected center: 15 at distance 20.0\n",
      "Selected center: 32 at distance 20.0\n",
      "Selected center: 43 at distance 20.0\n",
      "Selected center: 81 at distance 20.0\n",
      "Selected center: 117 at distance 20.0\n",
      "Selected center: 168 at distance 20.0\n",
      "Selected center: 275 at distance 20.0\n",
      "Selected center: 298 at distance 20.0\n",
      "Selected center: 373 at distance 20.0\n",
      "Selected center: 441 at distance 20.0\n",
      "Selected center: 525 at distance 20.0\n",
      "Selected center: 595 at distance 20.0\n",
      "Selected center: 677 at distance 20.0\n",
      "Selected center: 128 at distance 19.0\n",
      "Selected center: 143 at distance 19.0\n",
      "Selected center: 165 at distance 19.0\n",
      "Selected center: 216 at distance 19.0\n",
      "Selected center: 544 at distance 19.0\n",
      "Selected center: 583 at distance 19.0\n",
      "Selected center: 72 at distance 18.0\n",
      "Selected center: 77 at distance 18.0\n",
      "Selected center: 118 at distance 18.0\n",
      "Selected center: 132 at distance 18.0\n",
      "Selected center: 158 at distance 18.0\n",
      "Selected center: 304 at distance 18.0\n",
      "Selected center: 321 at distance 18.0\n",
      "Selected center: 377 at distance 18.0\n",
      "Selected center: 430 at distance 18.0\n",
      "Selected center: 532 at distance 18.0\n",
      "Selected center: 591 at distance 18.0\n",
      "Selected center: 625 at distance 18.0\n",
      "Selected center: 657 at distance 18.0\n",
      "Selected center: 23 at distance 17.0\n",
      "Selected center: 31 at distance 17.0\n",
      "Selected center: 104 at distance 17.0\n",
      "Selected center: 114 at distance 17.0\n",
      "Selected center: 129 at distance 17.0\n",
      "Selected center: 135 at distance 17.0\n",
      "Selected center: 190 at distance 17.0\n",
      "Selected center: 427 at distance 17.0\n",
      "Selected center: 432 at distance 17.0\n",
      "Approximate Method: Raio Aproximado = 17.0 | Time: 3.68 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed35.txt | |V|: 800 | Arestas: 12800 | k: 5\n",
      "Testing raio = 34.0 (mid index: 34)\n",
      "Status for raio 34.0: Optimal\n",
      "Testing raio = 16.0 (mid index: 16)\n",
      "Status for raio 16.0: Infeasible\n",
      "Testing raio = 25.0 (mid index: 25)\n",
      "Status for raio 25.0: Infeasible\n",
      "Testing raio = 29.0 (mid index: 29)\n",
      "Status for raio 29.0: Infeasible\n",
      "Testing raio = 31.0 (mid index: 31)\n",
      "Status for raio 31.0: Optimal\n",
      "Testing raio = 30.0 (mid index: 30)\n",
      "Status for raio 30.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 30.0 | Time: 4827.46 seconds\n",
      "Initial center: 655\n",
      "Selected center: 320 at distance 48.0\n",
      "Selected center: 522 at distance 45.0\n",
      "Selected center: 800 at distance 44.0\n",
      "Selected center: 350 at distance 43.0\n",
      "Approximate Method: Raio Aproximado = 43.0 | Time: 4.25 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed36.txt | |V|: 800 | Arestas: 12800 | k: 10\n",
      "Testing raio = 43.0 (mid index: 43)\n",
      "Status for raio 43.0: Optimal\n",
      "Testing raio = 21.0 (mid index: 21)\n",
      "Status for raio 21.0: Infeasible\n",
      "Testing raio = 32.0 (mid index: 32)\n",
      "Status for raio 32.0: Optimal\n",
      "Testing raio = 26.0 (mid index: 26)\n",
      "Status for raio 26.0: Infeasible\n",
      "Testing raio = 29.0 (mid index: 29)\n",
      "Status for raio 29.0: Optimal\n",
      "Testing raio = 27.0 (mid index: 27)\n",
      "Status for raio 27.0: Optimal\n",
      "Exact Method: Raio Preciso com PLI = 27.0 | Time: 2206.15 seconds\n",
      "Initial center: 655\n",
      "Selected center: 800 at distance 64.0\n",
      "Selected center: 312 at distance 49.0\n",
      "Selected center: 522 at distance 47.0\n",
      "Selected center: 304 at distance 46.0\n",
      "Selected center: 509 at distance 46.0\n",
      "Selected center: 238 at distance 44.0\n",
      "Selected center: 7 at distance 43.0\n",
      "Selected center: 207 at distance 43.0\n",
      "Selected center: 395 at distance 43.0\n",
      "Approximate Method: Raio Aproximado = 43.0 | Time: 4.31 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed37.txt | |V|: 800 | Arestas: 12800 | k: 80\n",
      "Testing raio = 38.0 (mid index: 38)\n",
      "Status for raio 38.0: Optimal\n",
      "Testing raio = 18.0 (mid index: 18)\n",
      "Status for raio 18.0: Optimal\n",
      "Testing raio = 8.0 (mid index: 8)\n",
      "Status for raio 8.0: Infeasible\n",
      "Testing raio = 13.0 (mid index: 13)\n",
      "Status for raio 13.0: Infeasible\n",
      "Testing raio = 15.0 (mid index: 15)\n",
      "Status for raio 15.0: Optimal\n",
      "Testing raio = 14.0 (mid index: 14)\n",
      "Status for raio 14.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 15.0 | Time: 98.02 seconds\n",
      "Initial center: 655\n",
      "Selected center: 40 at distance 54.0\n",
      "Selected center: 81 at distance 53.0\n",
      "Selected center: 215 at distance 49.0\n",
      "Selected center: 440 at distance 48.0\n",
      "Selected center: 257 at distance 47.0\n",
      "Selected center: 624 at distance 46.0\n",
      "Selected center: 422 at distance 44.0\n",
      "Selected center: 120 at distance 43.0\n",
      "Selected center: 199 at distance 43.0\n",
      "Selected center: 509 at distance 43.0\n",
      "Selected center: 789 at distance 43.0\n",
      "Selected center: 643 at distance 42.0\n",
      "Selected center: 702 at distance 42.0\n",
      "Selected center: 143 at distance 40.0\n",
      "Selected center: 259 at distance 40.0\n",
      "Selected center: 277 at distance 40.0\n",
      "Selected center: 697 at distance 40.0\n",
      "Selected center: 2 at distance 39.0\n",
      "Selected center: 332 at distance 39.0\n",
      "Selected center: 600 at distance 39.0\n",
      "Selected center: 622 at distance 39.0\n",
      "Selected center: 772 at distance 39.0\n",
      "Selected center: 420 at distance 38.0\n",
      "Selected center: 700 at distance 38.0\n",
      "Selected center: 776 at distance 38.0\n",
      "Selected center: 60 at distance 37.0\n",
      "Selected center: 126 at distance 35.0\n",
      "Selected center: 163 at distance 35.0\n",
      "Selected center: 234 at distance 35.0\n",
      "Selected center: 707 at distance 35.0\n",
      "Selected center: 731 at distance 35.0\n",
      "Selected center: 148 at distance 34.0\n",
      "Selected center: 507 at distance 34.0\n",
      "Selected center: 548 at distance 34.0\n",
      "Selected center: 15 at distance 33.0\n",
      "Selected center: 386 at distance 33.0\n",
      "Selected center: 421 at distance 33.0\n",
      "Selected center: 741 at distance 33.0\n",
      "Selected center: 779 at distance 33.0\n",
      "Selected center: 122 at distance 32.0\n",
      "Selected center: 209 at distance 32.0\n",
      "Selected center: 238 at distance 32.0\n",
      "Selected center: 337 at distance 31.0\n",
      "Selected center: 409 at distance 31.0\n",
      "Selected center: 738 at distance 31.0\n",
      "Selected center: 19 at distance 30.0\n",
      "Selected center: 142 at distance 30.0\n",
      "Selected center: 207 at distance 30.0\n",
      "Selected center: 430 at distance 30.0\n",
      "Selected center: 573 at distance 30.0\n",
      "Selected center: 617 at distance 30.0\n",
      "Selected center: 745 at distance 30.0\n",
      "Selected center: 788 at distance 30.0\n",
      "Selected center: 31 at distance 29.0\n",
      "Selected center: 185 at distance 29.0\n",
      "Selected center: 263 at distance 29.0\n",
      "Selected center: 800 at distance 29.0\n",
      "Selected center: 37 at distance 28.0\n",
      "Selected center: 285 at distance 28.0\n",
      "Selected center: 296 at distance 28.0\n",
      "Selected center: 7 at distance 27.0\n",
      "Selected center: 27 at distance 27.0\n",
      "Selected center: 101 at distance 27.0\n",
      "Selected center: 115 at distance 27.0\n",
      "Selected center: 175 at distance 27.0\n",
      "Selected center: 334 at distance 27.0\n",
      "Selected center: 399 at distance 27.0\n",
      "Selected center: 574 at distance 27.0\n",
      "Selected center: 718 at distance 27.0\n",
      "Selected center: 773 at distance 27.0\n",
      "Selected center: 71 at distance 26.0\n",
      "Selected center: 166 at distance 26.0\n",
      "Selected center: 612 at distance 26.0\n",
      "Selected center: 658 at distance 26.0\n",
      "Selected center: 733 at distance 26.0\n",
      "Selected center: 72 at distance 25.0\n",
      "Selected center: 106 at distance 25.0\n",
      "Selected center: 138 at distance 25.0\n",
      "Selected center: 258 at distance 25.0\n",
      "Approximate Method: Raio Aproximado = 25.0 | Time: 5.04 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed38.txt | |V|: 900 | Arestas: 16200 | k: 5\n",
      "Testing raio = 40.0 (mid index: 40)\n",
      "Status for raio 40.0: Optimal\n",
      "Testing raio = 19.0 (mid index: 19)\n",
      "Status for raio 19.0: Infeasible\n",
      "Testing raio = 29.0 (mid index: 29)\n",
      "Status for raio 29.0: Optimal\n",
      "Testing raio = 24.0 (mid index: 24)\n",
      "Status for raio 24.0: Infeasible\n",
      "Testing raio = 26.0 (mid index: 26)\n",
      "Status for raio 26.0: Infeasible\n",
      "Testing raio = 27.0 (mid index: 27)\n",
      "Status for raio 27.0: Infeasible\n",
      "Testing raio = 28.0 (mid index: 28)\n",
      "Status for raio 28.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 29.0 | Time: 3550.95 seconds\n",
      "Initial center: 655\n",
      "Selected center: 900 at distance 62.0\n",
      "Selected center: 116 at distance 49.0\n",
      "Selected center: 239 at distance 49.0\n",
      "Selected center: 20 at distance 43.0\n",
      "Approximate Method: Raio Aproximado = 42.0 | Time: 6.17 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed39.txt | |V|: 900 | Arestas: 16200 | k: 10\n",
      "Testing raio = 47.0 (mid index: 47)\n",
      "Status for raio 47.0: Optimal\n",
      "Testing raio = 23.0 (mid index: 23)\n",
      "Status for raio 23.0: Optimal\n",
      "Testing raio = 11.0 (mid index: 11)\n",
      "Status for raio 11.0: Infeasible\n",
      "Testing raio = 17.0 (mid index: 17)\n",
      "Status for raio 17.0: Infeasible\n",
      "Testing raio = 20.0 (mid index: 20)\n",
      "Status for raio 20.0: Infeasible\n",
      "Testing raio = 21.0 (mid index: 21)\n",
      "Status for raio 21.0: Infeasible\n",
      "Testing raio = 22.0 (mid index: 22)\n",
      "Status for raio 22.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 23.0 | Time: 1771.87 seconds\n",
      "Initial center: 655\n",
      "Selected center: 900 at distance 100.0\n",
      "Selected center: 142 at distance 40.0\n",
      "Selected center: 20 at distance 38.0\n",
      "Selected center: 352 at distance 38.0\n",
      "Selected center: 91 at distance 37.0\n",
      "Selected center: 465 at distance 37.0\n",
      "Selected center: 621 at distance 37.0\n",
      "Selected center: 727 at distance 37.0\n",
      "Selected center: 760 at distance 37.0\n",
      "Approximate Method: Raio Aproximado = 36.0 | Time: 6.07 seconds\n",
      "\n",
      "Processing pmed_scrap\\pmed40.txt | |V|: 900 | Arestas: 16200 | k: 90\n",
      "Testing raio = 34.0 (mid index: 34)\n",
      "Status for raio 34.0: Optimal\n",
      "Testing raio = 16.0 (mid index: 16)\n",
      "Status for raio 16.0: Optimal\n",
      "Testing raio = 7.0 (mid index: 7)\n",
      "Status for raio 7.0: Infeasible\n",
      "Testing raio = 11.0 (mid index: 11)\n",
      "Status for raio 11.0: Infeasible\n",
      "Testing raio = 13.0 (mid index: 13)\n",
      "Status for raio 13.0: Optimal\n",
      "Testing raio = 12.0 (mid index: 12)\n",
      "Status for raio 12.0: Infeasible\n",
      "Exact Method: Raio Preciso com PLI = 13.0 | Time: 110.63 seconds\n",
      "Initial center: 655\n",
      "Selected center: 630 at distance 50.0\n",
      "Selected center: 56 at distance 46.0\n",
      "Selected center: 92 at distance 43.0\n",
      "Selected center: 75 at distance 40.0\n",
      "Selected center: 289 at distance 40.0\n",
      "Selected center: 474 at distance 40.0\n",
      "Selected center: 808 at distance 40.0\n",
      "Selected center: 838 at distance 40.0\n",
      "Selected center: 874 at distance 40.0\n",
      "Selected center: 144 at distance 39.0\n",
      "Selected center: 210 at distance 39.0\n",
      "Selected center: 128 at distance 38.0\n",
      "Selected center: 378 at distance 38.0\n",
      "Selected center: 687 at distance 37.0\n",
      "Selected center: 784 at distance 37.0\n",
      "Selected center: 233 at distance 34.0\n",
      "Selected center: 428 at distance 34.0\n",
      "Selected center: 475 at distance 34.0\n",
      "Selected center: 492 at distance 34.0\n",
      "Selected center: 220 at distance 33.0\n",
      "Selected center: 235 at distance 33.0\n",
      "Selected center: 311 at distance 33.0\n",
      "Selected center: 648 at distance 33.0\n",
      "Selected center: 563 at distance 32.0\n",
      "Selected center: 620 at distance 32.0\n",
      "Selected center: 652 at distance 32.0\n",
      "Selected center: 53 at distance 31.0\n",
      "Selected center: 322 at distance 31.0\n",
      "Selected center: 586 at distance 31.0\n",
      "Selected center: 851 at distance 31.0\n",
      "Selected center: 137 at distance 30.0\n",
      "Selected center: 365 at distance 30.0\n",
      "Selected center: 699 at distance 30.0\n",
      "Selected center: 172 at distance 29.0\n",
      "Selected center: 599 at distance 29.0\n",
      "Selected center: 755 at distance 29.0\n",
      "Selected center: 888 at distance 29.0\n",
      "Selected center: 26 at distance 28.0\n",
      "Selected center: 112 at distance 28.0\n",
      "Selected center: 133 at distance 28.0\n",
      "Selected center: 646 at distance 28.0\n",
      "Selected center: 707 at distance 28.0\n",
      "Selected center: 819 at distance 28.0\n",
      "Selected center: 86 at distance 27.0\n",
      "Selected center: 292 at distance 27.0\n",
      "Selected center: 374 at distance 27.0\n",
      "Selected center: 51 at distance 26.0\n",
      "Selected center: 60 at distance 26.0\n",
      "Selected center: 143 at distance 26.0\n",
      "Selected center: 309 at distance 26.0\n",
      "Selected center: 400 at distance 26.0\n",
      "Selected center: 724 at distance 26.0\n",
      "Selected center: 791 at distance 26.0\n",
      "Selected center: 50 at distance 25.0\n",
      "Selected center: 194 at distance 25.0\n",
      "Selected center: 448 at distance 25.0\n",
      "Selected center: 484 at distance 25.0\n",
      "Selected center: 556 at distance 25.0\n",
      "Selected center: 591 at distance 25.0\n",
      "Selected center: 631 at distance 25.0\n",
      "Selected center: 69 at distance 24.0\n",
      "Selected center: 232 at distance 24.0\n",
      "Selected center: 296 at distance 24.0\n",
      "Selected center: 314 at distance 24.0\n",
      "Selected center: 370 at distance 24.0\n",
      "Selected center: 449 at distance 24.0\n",
      "Selected center: 464 at distance 24.0\n",
      "Selected center: 690 at distance 24.0\n",
      "Selected center: 695 at distance 24.0\n",
      "Selected center: 734 at distance 24.0\n",
      "Selected center: 114 at distance 23.0\n",
      "Selected center: 166 at distance 23.0\n",
      "Selected center: 221 at distance 23.0\n",
      "Selected center: 469 at distance 23.0\n",
      "Selected center: 835 at distance 23.0\n",
      "Selected center: 70 at distance 22.0\n",
      "Selected center: 242 at distance 22.0\n",
      "Selected center: 249 at distance 22.0\n",
      "Selected center: 357 at distance 22.0\n",
      "Selected center: 508 at distance 22.0\n",
      "Selected center: 511 at distance 22.0\n",
      "Selected center: 560 at distance 22.0\n",
      "Selected center: 575 at distance 22.0\n",
      "Selected center: 628 at distance 22.0\n",
      "Selected center: 712 at distance 22.0\n",
      "Selected center: 897 at distance 22.0\n",
      "Selected center: 62 at distance 21.0\n",
      "Selected center: 109 at distance 21.0\n",
      "Selected center: 240 at distance 21.0\n",
      "Approximate Method: Raio Aproximado = 21.0 | Time: 7.33 seconds\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "from pulp import LpMinimize, LpProblem, LpVariable, lpSum, LpStatus\n",
    "import os\n",
    "import time\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "\n",
    "# Função para ler o arquivo e construir o grafo\n",
    "def carregar_grafo(filepath):\n",
    "    G = nx.Graph()\n",
    "    with open(filepath, 'r') as file:\n",
    "        primeira_linha = file.readline().strip().split()\n",
    "        if len(primeira_linha) < 3:\n",
    "            raise ValueError(\"O arquivo de entrada deve conter pelo menos três inteiros na primeira linha: m n k\")\n",
    "        num_vertices = int(primeira_linha[0])\n",
    "        num_arestas = int(primeira_linha[1])\n",
    "        k = int(primeira_linha[2])\n",
    "        \n",
    "        # Adiciona as arestas e seus pesos no grafo\n",
    "        for _ in range(num_arestas):\n",
    "            line = file.readline()\n",
    "            if not line:\n",
    "                raise ValueError(f\"Esperado {num_arestas} arestas, mas o arquivo terminou inesperadamente.\")\n",
    "            v1, v2, peso = map(float, line.strip().split())\n",
    "            G.add_edge(int(v1), int(v2), weight=peso)\n",
    "    \n",
    "    return G, num_vertices, num_arestas, k\n",
    "\n",
    "# Resolver o problema usando Programação Linear Inteira (PLI)\n",
    "def k_centros_exato_pli(G, k):\n",
    "    # Calcula todas as distâncias entre os pares de vértices\n",
    "    distancias = dict(nx.all_pairs_dijkstra_path_length(G, weight='weight'))\n",
    "    \n",
    "    # Obtém todas as distâncias únicas\n",
    "    unique_distances = set()\n",
    "    for source in distancias:\n",
    "        for target, dist in distancias[source].items():\n",
    "            unique_distances.add(dist)\n",
    "    \n",
    "    sorted_distances = sorted(unique_distances)\n",
    "    \n",
    "    # Busca binária para encontrar o menor raio possível\n",
    "    left = 0\n",
    "    right = len(sorted_distances) - 1\n",
    "    melhor_raio = sorted_distances[-1]  # Inicializa com a maior distância possível\n",
    "    \n",
    "    while left <= right:\n",
    "        mid = (left + right) // 2\n",
    "        raio = sorted_distances[mid]\n",
    "        print(f\"Testando raio = {raio} (índice médio: {mid})\")\n",
    "        \n",
    "        # Criação do modelo PLI\n",
    "        model = LpProblem(\"k-Centros\", LpMinimize)\n",
    "        \n",
    "        # Variáveis de decisão\n",
    "        x = LpVariable.dicts(\"x\", G.nodes, cat=\"Binary\")  # 1 se i é um centro\n",
    "        y = LpVariable.dicts(\"y\", [(i, j) for i in G.nodes for j in G.nodes], cat=\"Binary\")  # 1 se j é coberto por i\n",
    "        \n",
    "        # Função objetivo (não utilizada diretamente aqui)\n",
    "        model += 0, \"Dummy Objective\"\n",
    "        \n",
    "        # Restrição: exatamente k centros\n",
    "        model += lpSum(x[i] for i in G.nodes) == k, \"Exatamente_k_centros\"\n",
    "        \n",
    "        # Restrição: cada vértice deve ser coberto por pelo menos um centro dentro do raio\n",
    "        for j in G.nodes:\n",
    "            model += lpSum(y[i, j] for i in G.nodes if distancias[i][j] <= raio) >= 1, f\"Cobertura_{j}\"\n",
    "        \n",
    "        # Restrição: se j for coberto por i, então i deve ser um centro\n",
    "        for i in G.nodes:\n",
    "            for j in G.nodes:\n",
    "                if distancias[i][j] <= raio:\n",
    "                    model += y[i, j] <= x[i], f\"Vinculo_{i}_{j}\"\n",
    "        \n",
    "        # Resolver o modelo\n",
    "        model.solve()\n",
    "        \n",
    "        # Verificar o status da solução\n",
    "        status = LpStatus[model.status]\n",
    "        print(f\"Status para raio {raio}: {status}\")\n",
    "        \n",
    "        if status == 'Optimal':\n",
    "            # Solução viável, tenta encontrar um raio menor\n",
    "            melhor_raio = raio\n",
    "            right = mid - 1\n",
    "        else:\n",
    "            # Solução inviável, aumenta o raio\n",
    "            left = mid + 1\n",
    "    \n",
    "    return melhor_raio\n",
    "\n",
    "# Resolver o problema usando o Algoritmo Guloso Aproximado\n",
    "def k_centros_aproximado_guloso(G, k):\n",
    "    # Calcula todas as distâncias entre os pares de vértices\n",
    "    distancias = dict(nx.all_pairs_dijkstra_path_length(G, weight='weight'))\n",
    "    \n",
    "    # Inicializa os centros escolhendo um nó aleatório\n",
    "    random.seed(42)  # Para reprodução dos resultados\n",
    "    first_center = random.choice(list(G.nodes))\n",
    "    centers = [first_center]\n",
    "    print(f\"Centro inicial: {first_center}\")\n",
    "    \n",
    "    # Iterativamente seleciona o nó mais distante dos centros atuais\n",
    "    for _ in range(1, k):\n",
    "        max_dist = -1\n",
    "        farthest_node = None\n",
    "        for node in G.nodes:\n",
    "            # Calcula a menor distância entre o nó e os centros\n",
    "            min_dist_to_center = min(distancias[node][center] for center in centers)\n",
    "            if min_dist_to_center > max_dist:\n",
    "                max_dist = min_dist_to_center\n",
    "                farthest_node = node\n",
    "        centers.append(farthest_node)\n",
    "        print(f\"Centro selecionado: {farthest_node} com distância {max_dist}\")\n",
    "    \n",
    "    # Calcula o raio máximo (distância do nó mais distante ao centro mais próximo)\n",
    "    max_radius = 0\n",
    "    for node in G.nodes:\n",
    "        min_dist_to_center = min(distancias[node][center] for center in centers)\n",
    "        if min_dist_to_center > max_radius:\n",
    "            max_radius = min_dist_to_center\n",
    "    \n",
    "    return max_radius, centers\n",
    "\n",
    "def main():\n",
    "    # Caminho para a pasta contendo os arquivos de entrada\n",
    "    pasta_arquivos = 'pmed_scrap'\n",
    "    \n",
    "    # Listas para armazenar os tempos de execução\n",
    "    exact_runtimes = []\n",
    "    approx_runtimes = []\n",
    "    instances = []\n",
    "    \n",
    "    # Itera sobre todos os arquivos na pasta\n",
    "    for i in range(1, 41):\n",
    "        filepath = os.path.join(pasta_arquivos, f'pmed{i}.txt')\n",
    "        if not os.path.isfile(filepath):\n",
    "            print(f\"Arquivo {filepath} não existe. Pulando.\")\n",
    "            continue\n",
    "        try:\n",
    "            G, num_vertices, num_arestas, k = carregar_grafo(filepath)\n",
    "            print(f\"\\nProcessando {filepath} | |V|: {num_vertices} | Arestas: {num_arestas} | k: {k}\")\n",
    "            \n",
    "            # Mede o tempo do método exato\n",
    "            start_time_exact = time.time()\n",
    "            raio_preciso = k_centros_exato_pli(G, k)\n",
    "            end_time_exact = time.time()\n",
    "            runtime_exact = end_time_exact - start_time_exact\n",
    "            exact_runtimes.append(runtime_exact)\n",
    "            print(f\"Método Exato: Raio Preciso com PLI = {raio_preciso} | Tempo: {runtime_exact:.2f} segundos\")\n",
    "            \n",
    "            # Mede o tempo do método aproximado\n",
    "            start_time_approx = time.time()\n",
    "            raio_aproximado, centers = k_centros_aproximado_guloso(G, k)\n",
    "            end_time_approx = time.time()\n",
    "            runtime_approx = end_time_approx - start_time_approx\n",
    "            approx_runtimes.append(runtime_approx)\n",
    "            print(f\"Método Aproximado: Raio Aproximado = {raio_aproximado} | Tempo: {runtime_approx:.2f} segundos\")\n",
    "            \n",
    "            # Registra a instância processada\n",
    "            instances.append(f'pmed{i}.txt')\n",
    "            \n",
    "        except Exception as e:\n",
    "            print(f\"Ocorreu um erro ao processar {filepath}: {e}\\n\")\n",
    "    \n",
    "    # Gera o gráfico comparativo dos tempos de execução\n",
    "    if instances:\n",
    "        plt.figure(figsize=(15, 7))\n",
    "        x = range(1, len(instances) + 1)\n",
    "        plt.plot(x, exact_runtimes, marker='o', label='Método Exato PLI')\n",
    "        plt.plot(x, approx_runtimes, marker='s', label='Aproximação Gulosa')\n",
    "        plt.xlabel('Número da Instância')\n",
    "        plt.ylabel('Tempo de Execução (segundos)')\n",
    "        plt.title('Comparação de Tempo: Método Exato vs Aproximação Gulosa para k-Centro')\n",
    "        plt.xticks(x, instances, rotation=90)\n",
    "        plt.legend()\n",
    "        plt.tight_layout()\n",
    "        plt.grid(True)\n",
    "        plt.show()\n",
    "    else:\n",
    "        print(\"Nenhuma instância foi processada. Nenhum gráfico será exibido.\")\n",
    "\n",
    "if __name__ == \"__main__\":\n",
    "    main()"
   ]
  }
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