<prompt> Andika kazi, ambayo inatumia programu dynamic kupata njia fupi kati ya jozi zote za nodes katika grafu.  <response>: Heres an implementation of the Floyd-Warshall algorithm in Python, which uses dynamic programming to find the shortest path between all pairs of nodes in a graph:def floydWarshallgraph: n lengraph dist floatinf n for _ in rangen for i in rangen: for j in rangen: if i j: distij 0 elif graphij ! None: distij graphij for k in rangen: for i in rangen: for j in rangen: distij mindistij, distik distkj return distHere, graph is a 2D matrix representing the weighted adjacency matrix of the graph, where graphij is the weight of the edge from node i to node j, or None if there is no such edge. The dist matrix is used to store the shortest path distances between pairs of nodes.The algorithm initializes distij to the weight of edge i,j if it exists, or infinity otherwise, and distii to 0 for all i. Then, it iterates over all pairs of nodes using a triple nested loop, and updates distij to the minimum of its current value and the sum of distik and distkj, where k is an intermediate node in the path from i to j.Once the algorithm is complete, the dist matrix will contain the shortest path distances between all pairs of nodes in the graph. 