For each of the graphs shown below, first give an unique name to each edge (e.g., a, b, ... etc.), and then determine if a graph has Euler path or not, as well as a Hamiltonian cycle or not. If a graph does not have an Euler path, say "No". If a graph has a Euler path, please list the path using the similar format shown in the previous example: node name, edge name, node name, edge name, node name. If a graph does not have an Hamiltonian cycle, say "No". If a graph has a Hamiltonian cycle, please list the path using the similar format shown in the previous example: node name, edge name, node name, edge name, ...., .., node name