This is an Artificial Intelligence problem. Please provide answers to the questions pertaining to the problem typed out.

Problem: Solve the Travelling Salesman Problem (TSP) using two algorithms: genetic algorithm (GA) and simulated annealing (SA). The algorithms should be used independently to solve the problem. Questions pertaining to the problem: i. 1. (10 points) Define the TSP mathematically. 2. (15+15 points) Define: the representation of TSP used to solve using GA. ii. the representation of TSP used to solve using SA. 3. (15+15 points) Mathematically define the: i. fitness function for TSP for GA. ii. objective function for TSP for SA