Factorial push to array

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• MIPS Assembly - how to calculate squre of n recursively

  I want to write a program that calculates the square of n using recursively based on the equation n^2 = (n - 1)^2 + 2(n - 1) + 1 But I don't know how to write the nonbasecase part. Can anyone help?

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  def square(n) {
      if (n==0):
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  Here is what I got so far.

  start:      
          li  $a0, 0x0003     #$a0 contains the number to be squared              
          jal square          # recursive call
          
  square:     
          subi $sp, $sp, 8    # decrement the stack pointer $sp
          sw  $ra, 4($sp)     # push the return address register $ra
          sw  $a0, 0($sp)     # push argument register $a0
          li  $t0, 0x0001     # load $t0 with 1 as part of test for base case
          bne $a0, $t0, nonbasecase   # branch if not the base case
          li $v0, 0x0001      # return base result in $v0
          addi $sp, $sp 8     # recover stack space 
          jr $ra          # jump to return address in $ra
  
  nonbasecase:    
         #not sure how to write when it is not the base case
  
  
          jr $ra          # jump to contents of return address register $ra
  
  
• Nested list in C# with layers

  I am not an expert coder and I have just started learning about Generic data types. What I am trying to code is a List inside of a list inside of a list .

  For example- at the first level - I want numbers each inside of a list

  Layer 1 list1=[1,2,3,4,5,6,7,8,9,10......1000] ,

  At the 2nd layer I'd like list from 1st layer added as an element to a parent list 2 when layer 1 meets certain condition- ex layer 1 reaches max=10

  List2=[List1[0:10],List1[10:20],List1[20:30], .....] ,

  At layer 3, i'd like to repeat the process, all elements of layer 2 get added as an element to a new parent list 3 when layer 2 meets a max condition. list3[0]=[list2[0:10],list2[10:20],list2[20:30]..... and so on.

  Only the first layer would have integer values, the successive layer would be a wrapping of it's the previous layer. How can I code this in C#?

  Thanks!
• Why println is being executed in this recursive piece of code?

  In this code arrLength starts with four and then keeps being decremented until it reaches zero. At the moment it reaches zero it should not execute what is inside the if block anymore. But what is happening is that when it reaches zero it still executes the println line. Not understanding how that println line is being executed since that line is inside the if block and nothing inside the if block should execute when arrLength gets to zero. At the end it prints 5, 6, 2, 1 while in my understanding it should print nothing never executing the println line.

  class ArrayElements{
   
      public void printElements(int arr[], int arrLength){
          if(arrLength != 0){
              arrLength--;
              printElements(arr, arrLength);
              System.out.println(arr[arrLength]);
          }
      }
  }
  public class Main {
   
      public static void main(String[] args) {
          int arr[] = {5,6,2,1};
          int arrLength = arr.length;
   
          ArrayElements mv = new ArrayElements();
          mv.printElements(arr, arrLength );
      }
  }