diff --git a/AP1403 - Algorithms/src/main/java/Exercises.class b/AP1403 - Algorithms/src/main/java/Exercises.class
new file mode 100644
index 0000000..5949ba8
Binary files /dev/null and b/AP1403 - Algorithms/src/main/java/Exercises.class differ
diff --git a/AP1403 - Algorithms/src/main/java/Exercises.java b/AP1403 - Algorithms/src/main/java/Exercises.java
index 15a2133..913e560 100644
--- a/AP1403 - Algorithms/src/main/java/Exercises.java	
+++ b/AP1403 - Algorithms/src/main/java/Exercises.java	
@@ -1,64 +1,100 @@
 public class Exercises {
-
-    /*
-        there is an array of positive integers as input of function and another integer for the target value
-        all the algorithm should do is to find those two integers in array which their multiplication is the target
-        then it should return an array of their indices
-        e.g. {1, 2, 3, 4} with target of 8 -> {1, 3}
-
-        note: you should return the indices in ascending order and every array's solution is unique
-    */
+    
     public int[] productIndices(int[] values, int target) {
-        // todo
-        return null;
+        for (int i = 0; i < values.length; i++) {
+            for (int j = i + 1; j < values.length; j++) {
+                int mult = values[i] * values[j];
+                if (mult == target) {
+                    int[] result = {i, j};
+                    return result;
+                }
+            }
+        }
+        int[] result = {-1, -1};
+        return result;
     }
+    
+    public int[] spiralTraversal(int[][] matrix, int rowCount, int colCount) {
+        if (rowCount == 0 || colCount == 0) return new int[0];
 
-    /*
-        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}
+        int[] output = new int[rowCount * colCount];
+        int pos = 0, upper = 0, lower = rowCount - 1, start = 0, end = colCount - 1;
 
-        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;
+        while (upper <= lower && start <= end) {
+            for (int col = start; col <= end; col++){
+                output[pos++] = matrix[upper][col];
+            }
+            upper++;
+            for (int row = upper; row <= lower; row++){
+                output[pos++] = matrix[row][end];
+            }
+            end--;
+            if (upper <= lower) {
+                for (int col = end; col >= start; col--) {
+                    output[pos++] = matrix[lower][col];
+                }
+                lower--;
+            }
+            if (start <= end) {
+                for (int row = lower; row >= upper; row--){
+                     output[pos++] = matrix[row][start];
+                }
+                start++;
+            }
+        }
+
+        return output;
     }
 
-    /*
-        integer partitioning is a combinatorics problem in discreet maths
-        the problem is to generate sum numbers which their summation is the input number
+    public int[][] intPartitions(int n) {
+        int maxPartitionCount = countPartitions(n , n);
+        int[][] partitionResult = new int[maxPartitionCount][n];
+        int[] currentPartition = new int[n];
 
-        e.g. 1 -> all partitions of integer 3 are:
-        3
-        2, 1
-        1, 1, 1
+        int currentResultIndex = generatePartitions(n, n, 0, currentPartition, partitionResult, 0);
 
-        e.g. 2 -> for number 4 goes as:
-        4
-        3, 1
-        2, 2
-        2, 1, 1
-        1, 1, 1, 1
+        int[][] partition = new int[currentResultIndex][];
+        for (int i = 0; i < currentResultIndex; i++) {
+            partition[i] = new int[partitionResult[i].length];
+            for (int j = 0; j < partitionResult[i].length; j++) {
+                partition[i][j] = partitionResult[i][j];
+            }
+        }
+        return partition;
+    }
+    private int countPartitions(int n, int max) {
+        if (n == 0) {
+            return 1;
+        }
+        if (n < 0) {
+            return 0;
+        }
+        int count = 0;
+        for (int i = Math.min(n, max); i >= 1; i--) {
+            count += countPartitions(n - i, i);
+        }
+        return count;
+    }
 
-        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
+    private int generatePartitions(int n, int max, int index, int[] currentPartition, int[][] partitionResult, int resultIndex) {
+        if (n == 0) {
+            partitionResult[resultIndex] = new int[index];
+            for (int i = 0; i < index; i++) {
+                partitionResult[resultIndex][i] = currentPartition[i];
+            }
+            return resultIndex + 1;
+        }
 
-        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 :)
+        for (int i = Math.min(n, max); i >= 1; i--) {
+            currentPartition[index] = i;
+            resultIndex = generatePartitions(n - i, i, index + 1, currentPartition, partitionResult, resultIndex);
+        }
 
-        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;
+        return resultIndex;
     }
 
+
     public static void main(String[] args) {
-        // you can test your code here
+        System.out.println();
     }
 }
diff --git a/AP1403 - Algorithms/src/main/java/tempCodeRunnerFile.java b/AP1403 - Algorithms/src/main/java/tempCodeRunnerFile.java
new file mode 100644
index 0000000..f3acc41
--- /dev/null
+++ b/AP1403 - Algorithms/src/main/java/tempCodeRunnerFile.java	
@@ -0,0 +1 @@
+resultIndex
\ No newline at end of file