public class MainExercises { /* you should create a triangle with "*" and return a two-dimensional array of characters based on that the triangle's area is empty, which means some characters should be " " example 1, input = 3: * ** *** example 2, input = 5: * ** * * * * ***** the output has to be a two-dimensional array of characters, so don't just print the triangle! */ public char[][] generateTriangle(int n) { // todo return null; } /* given a matrix of random integers, you should do spiral traversal in it e.g. if the matrix is as shown below: 1 2 3 4 5 6 7 8 9 then the spiral traversal of that is: {1, 2, 3, 6, 9, 8, 7, 4, 5} so you should walk in that matrix in a curl and then add the numbers in order you've seen them in a 1D array */ public int[] spiralTraversal(int[][] values, int rows, int cols) { // todo return null; } /* integer partitioning is a combinatorics problem in discreet maths the problem is to generate sum numbers which their summation is the input number e.g. 1 -> all partitions of integer 3 are: 3 2, 1 1, 1, 1 e.g. 2 -> for number 4 goes as: 4 3, 1 2, 2 2, 1, 1 1, 1, 1, 1 note: as you can see in examples, we want to generate distinct summations, which means 1, 2 and 2, 1 are no different you should generate all partitions of the input number and hint: you can measure the size and order of arrays by finding the pattern of partitions and their number trust me, that one's fun and easy :) if you're familiar with lists and arraylists, you can also edit method's body to use them instead of array */ public int[][] intPartitions(int n) { // todo return null; } public static void main() { } }