You are the manager of a basketball team. For the upcoming tournament, you want to choose the team with the highest overall score. The score of the team is the sum of scores of all the players in the team. However, the basketball team is not allowed to have conflicts. A conflict exists if a younger player has a strictly higher score than an older player. A conflict does not occur between players of the same age. Given two lists,
ages, where each
ages[i]represents the score and age of the
ithplayer, respectively, return the highest overall score of all possible basketball teams.
If we sort the input first, then we can apply dynamic programming to solve this problem with O(n^2) time complexity.
dp[i] as the largest score if the
player[i] is selected. Therefore we have:
dp[i]=max(dp[j]+score[i]) for j in [0...i] if score[j]<=score[i]
class Solution: def bestTeamScore(self, scores: List[int], ages: List[int]) -> int: players = sorted(zip(ages,scores)) dp = [score for age,score in players] for i in range(1,len(players)): for j in range(i): if players[j] <= players[i]: dp[i] = max(dp[i],dp[j]+players[i]) return max(dp)