Minimum Hours of Training to Win a Competition


The function minNumberOfHours
calculates the minimum number of training hours required to defeat all opponents in a competition. Here’s a stepbystep explanation:
Prepare a list of opponents: First, the function creates a list of tuples, where each tuple consists of the energy and experience of each opponent. The
zip
function combines theenergy
andexperience
lists into a list of tuples, andsorted
sorts this list. This ensures that you face the opponents in increasing order of their energy and experience.Initialization: The variable
hours
is initialized to 0. This variable keeps track of the total training hours.Iteration through opponents: The function then iterates over each opponent.
For each opponent, it calculates the training hours needed for energy (
need_hours_for_energy
) and experience (need_hours_for_experience
) to defeat the opponent. If the initial energy or experience is greater than the opponent’s energy or experience, no training hours are needed for that aspect, hence the use ofmax(0, ...)
.The
need_hours
is calculated as the maximum ofneed_hours_for_energy
andneed_hours_for_experience
, because you need to have both energy and experience greater than the opponent to defeat them. The larger of the two values is chosen, to ensure that both energy and experience are at least equal to the opponent’s.The
need_hours
is then added tohours
, and also added to bothinitialEnergy
andinitialExperience
, indicating that you’ve spent these hours training and increasing both your energy and experience.After defeating the opponent, your energy decreases by the energy of the opponent (
e
), and your experience increases by the experience of the opponent (exp
).
Return result: Finally, the function returns the total training hours (
hours
) needed to defeat all opponents.
The function uses a greedy approach, always spending the necessary hours to just barely defeat the next opponent, which ensures the minimum total hours.