Jack, Jill and Chefland

Jack and Jill were sailing to Chefland on a passenger Ship, a journey which lasts for $N$ days. The crew of the ship were very concerned about the discipline of the passengers. So, they imposed a rule: If the sum of anger induced for a continuous duration of $K$ days by a person surpasses the patience limit $d$ of the crew, they will be provided a small ferry and would be asked to go back to their