5. There are eight small islands in a lake and we want to build seven bridges to connect them so that each island can be reached by the others. The distances in feet between pairs of islands are given in the following table 1 2 345 6 78 1 -240 210 340 280 200 345 120 2 --265 175 215 180 185 155 3 260 115 350 435 195 - 160 330 295 230 - 360 400 170 -175 205 305 Find which bridges to build so that their total length is minimum. Use the minimum spanning tree algorithm taught in class, starting from island 1 (15 pts.)