1. An Eulerian cycle in a graph is called a loop that starts from a vertex, passes exactly once through all edges in the graph returns to the starting vertex. Vertices can be visited repeatedly. Write a program that by a given graph, finds whether the graph has an Euler loop.

2. A Hamiltonian cycle in a graph is a cycle containing every vertex in the graph exactly once. Write a program, which by given weighted oriented graph G (V, E), finds Hamiltonian loop with a minimum length, if such exists.