A triangular number correspond to the number of dots that would appear in an equilateral triangle when using a basic triangular pattern to build the triangule.
The triangular numbers sequence contains all the triangular numbers in order.
The first 10 numbers of the triangular number sequence are:
The following table shows how we can calculate each triangular number from this sequence:
Little Man Computer
Your challenge is to write a program using one of the following online LMC Simulators to calculate and output the first 10 triangular numbers of this sequence.
LMC Instruction Set
Note that in the following table “xx” refers to a memory address (aka mailbox) in the RAM. The online LMC simulator has 100 different mailboxes in the RAM ranging from 00 to 99.
|INP||INPUT||Retrieve user input and stores it in the accumulator.||901|
|OUT||OUTPUT||Output the value stored in the accumulator.||902|
|LDA||LOAD||Load the Accumulator with the contents of the memory address given.||5xx|
|STA||STORE||Store the value in the Accumulator in the memory address given.||3xx|
|ADD||ADD||Add the contents of the memory address to the Accumulator||1xx|
|SUB||SUBTRACT||Subtract the contents of the memory address from the Accumulator||2xx|
|BRP||BRANCH IF POSITIVE||Branch/Jump to the address given if the Accumulator is zero or positive.||8xx|
|BRZ||BRANCH IF ZERO||Branch/Jump to the address given if the Accumulator is zero.||7xx|
|BRA||BRANCH ALWAYS||Branch/Jump to the address given.||6xx|
|HLT||HALT||Stop the code||000|
|DAT||DATA LOCATION||Used to associate a label to a free memory address. An optional value can also be used to be stored at the memory address.|
The following Assembly/LMC code provides a good example of how branching (e.g BRP instruction) can be used to create a loop (iteration).
loop LDA number
counter DAT 1
number DAT 0
one DAT 1
ten DAT 10
Did you know?
In the code above, loop, counter, numbers, one and ten are called labels. ADD, OUT, STA, LDA, BRP, SUB, HLT, DAT are the mnemonics, each of them representing the opcode of an instruction.