The diagram below shows the Hidden Markov Model $($HMM$)$ for this scenario: Given a sequence of observations $($Type of clothing$),$ find the hidden sequence of weather states $($Sunny or Cloudy$)$ which caused Caren to choose the clothes she worn. Suppose that you know Caren wore T$-$shirt $-$ Hoodie $-$ Jacket' for the last three days. Unfortunately, you do not know the weather states of the last two days but you know that the weather state of the first day $($when Caren wore T$-$shirt$)$ was Sunny. Specify all possible weather sequences and explain which sequence is most likely.