Question

You're about to play a game. The game is played as follows:

The game is played with a single pawn on n cells arranged in a single row and numbered from 0 to n-1 from left to right.
Each cell has a value assigned to it.
Whenever the pawn enters a cell, the value of the cell is added to your score.
Initially, your score is 0 and your pawn is standing at cell 0.
In a single move, you can move the pawn right by either 1 cell or p cells where p is a prime number having the least significant digit equal to 3. Remember! You must not place the pawn out of the row.
The game ends after your pawn steps on cell n-1 (the value of this cell is also added to the score). The goal is to maximize the score after the end of the game. What's the maximum possible score you can achieve?

Answer 1

To maximize the score in the described game, use problem-solving abilities and practice to strategically choose moves.

Step-by-step explanation:

To maximize the score in the game described, you need to apply problem-solving abilities and strategic planning, which can improve with practice. The goal is to land on cells with higher values while adhering to the movement rules. Primes with a least significant digit of 3 include numbers like 3, 13, 23, and so on. You'll utilize these primes to determine the best moves. The provided example of exponential growth with rice grains on a chessboard illustrates the potential for significant increase in outcomes, similar to maximizing points in this game.

While the question doesn't give specific cell values or the exact number of cells (n), to achieve the maximum possible score, one approach could be to create a dynamic programming algorithm or use greedy strategies to evaluate each possible move and choose the one that maximizes the score at each step. The process echoes the calculation where rice on a chessboard demonstrates exponential growth—here, the sum of cell values represents the overall score.

The problem described does not match the provided reference information exactly because it requires additional context, like the values of each cell, which are critical to computing the exact score.