How to Solve Maximize Value of Function in a Ball Passing Game Problem
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Maximize Value of Function in a Ball Passing Game
You are given an integer array receiver of length n and an integer k. n players are playing a ball-passing game. You choose the starting player, i. The game proceeds as follows: player i passes the ba...
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Understanding the Maximize Value of Function in a Ball Passing Game Problem
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Problem Statement
You are given an integer array receiver of length n and an integer k. n players are playing a ball-passing game. You choose the starting player, i. The game proceeds as follows: player i passes the ball to player receiver[i], who then passes it to receiver[receiver[i]], and so on, for k passes in total. The game's score is the sum of the indices of the players who touched the ball, including repetitions, i.e. i + receiver[i] + receiver[receiver[i]] + ... + receiver(k)[i]. Return the maximum possible score. Notes: receiver may contain duplicates. receiver[i] may be equal to i.
Maximize Value of Function in a Ball Passing Game
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Examples
receiver = [2,0,1], k = 4
6
Starting with player i = 2 the initial score is 2: Pass Sender Index Receiver Index Score 1 2 1 3 2 1 0 3 3 0 2 5 4 2 1 6
receiver = [1,1,1,2,3], k = 3
10
Starting with player i = 4 the initial score is 4: Pass Sender Index Receiver Index Score 1 4 3 7 2 3 2 9 3 2 1 10
Constraints
1 <= receiver.length == n <= 105
0 <= receiver[i] <= n - 1
1 <= k <= 1010
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