src/main/java/MainExercises.java

@@ -146,10 +146,56 @@ public class MainExercises
     */
 
     public int[][] intPartitions(int n) {
-        // todo
-        return null;
+
+
+        ArrayList<int[]> result = new ArrayList<>();
+
+        int[] currentPartition = new int[n];
+
+        int k=0; //اخرین ایندکس  currentPartition
+
+        currentPartition[k] = n;
+
+        while (true) {
+
+            int[] temp = new int[k+1];
+            for(int i=0 ; i<=k ; i++) {
+                temp[i] = currentPartition[i];
+            }
+            result.add(temp);
+
+            int remained = 0;
+            while(k>=0 && currentPartition[k]==1) {
+                remained += currentPartition[k];
+                k--;
             }
 
+            if(k<0)
+                break;
+
+            currentPartition[k]--;
+            remained++;
+
+
+            while (remained > currentPartition[k]) {
+                currentPartition[k+1] = currentPartition[k];
+                remained -= currentPartition[k];
+                k++;
+            }
+
+            currentPartition[k+1] = remained;
+            k++;
+
+        }
+
+        int[][] output = new int[result.size()][];
+        for(int i=0 ; i<result.size() ; i++) {
+            output[i] = result.get(i);
+        }
+
+        return output;
+
+    }
 
     public static void main()
     {