(10) 1.3.5: (just draw on the graph and color/draw on it) Icosian Game A century after Euler's discovery (see Problem 4), another famous puzzle - this one invented by the renowned Irish mathematician Sir William Hamilton (1805-1865) - was presented to the world under the name of the Icosian Game. The game's board was a circular wooden board on which the following graph was carved: Find a Hamiltonian circuita path that visits all the graph's vertices exactly once before returning to the starting vertex-for this graph