Each trail connects two different intersections (1 ≤。≤ 1,000), each of which is the termination for at least two trails. The cows know the lengthi of each trail , the two intersections the trail connects, and they know that no two intersections are directly connected by two different trails. The trails form a structure known mathematically as a graph.To run the relay, the N cows position themselves at various intersections . They must position themselves properly so that they can hand off the baton cow-by-cow and end up at the proper finishing place.Write a program to help position the cows. Find the shortest path that connects the starting intersection and the ending intersection and traverses exactly N cow trails.
For their physical fitness program, N (2 ≤ N ≤ 1,000,000) cows have decided to run a relay race using the T (2 ≤ T ≤ 100) cow trails throughout the pasture. Each trail connects two different intersections (1 ≤ I1_i I1 i ≤ 1,000; 1 ≤ I2_i I2 i ≤ 1,000), each of which is the termination for at least two trails. The cows know the lengthi of each trail (1 ≤ lengthi ≤ 1,000), the two intersections the trail connects, and they know that no two intersections are directly connected by two different trails. The trails form a structure known mathematically as a graph. To run the relay, the N cows position themselves at various intersections (some intersections might have more than one cow). They must position themselves properly so that they can hand off the baton cow-by-cow and end up at the proper finishing place. Write a program to help position the cows. Find the shortest path that connects the starting intersection (S) and the ending intersection (E) and traverses exactly N cow trails.