Software Engineer

A fishmonger wants to bring his goods from port to the market. On his route, he has to traverse an area with many states. He has to pay a toll at each border.

He is a good businessman. He wants to choose the route in such a way that he has to pay as little money for tolls as possible. On the other hand, he has to be at the market within a particular time. Otherwise, his fish will start to smell.

You are given ‘N’ number of states and the time ‘M’ in which he has to reach the market. You need to return the minimum toll amount that he has to pay to reach the market in the given time. The 0’th index is the port, and the 'N'-1 index is the market.

For example:

Consider If N = 2 , M = 4, Time = [[0,  2], [3,  0]] and Toll = [[0, 10], [ 5,  0]]]
The optimal path to reach node 1 from node 0 is 0 -> 1. The time required in the path is 2, and the minimum toll needed within the given time constraints is 10. Hence the answer is 10.