A pattern that repeats every six symbols starts as shown below:  $$ \heartsuit \:\: \clubsuit \:\: \heartsuit \:\: \diamondsuit \:\: \heartsuit \:\: \spadesuit \:\: \heartsuit \:\: \clubsuit \:\: \heartsuit \:\: \diamondsuit \:\: \heartsuit \:\: \spadesuit \:\: \ldots$$ What are the $100^{\text{th}}$ and $101^{\text{st}}$ symbols in the pattern?


If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.