feat: add MainExercises

src/main/java/MainExercises.java

@@ -0,0 +1,82 @@
+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()
+    {
+
+    }
+}