Hello ! I have come across a graph problem which has n(<=16) nodes (And It is connected) and we need to find the MAX NUMBER of nodes on any possible path (Path should not contain cycles) between any two pair of nodes in the graph . How can I solve it ? Can anybody suggest any idea ?

Hello! I have come across a tree problem where number of nodes(V<=1e5) and number of edges(E<=1e5) and edge weights are given .There are Q (Q<=1e5) queries of two types:

Query 1 asks to change the weight of edge i to W (given in query) Query 2 asks to print the path length between nodes a and b (given in query)

//As I know, LCA can be used to find the distance when edge weights are not changing (But does not seem to be useful here)

Can anyone suggest any method on how to solve it efficiently ?