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What does the Shark Marathon show about a math problem?
This problem may refer to the mathematical problem of "Shark Marathon", which is a classic mathematical problem, mainly involving combinatorial mathematics and graph theory.

Description of the problem of "Shark Marathon":

In a marathon consisting of n×(n- 1) squares, each square has a number to indicate its score. Sharks can start from any square and only move to the right to the adjacent square, and only move down to the adjacent square.

The goal of the "Shark Marathon" problem is: given a marathon consisting of n×(n- 1) squares, find out the score of the path with the highest score among the squares that sharks pass from the upper left corner to the lower right corner.

This problem can be solved by dynamic programming. First, we can define a dp array, where dp[i][j] represents the score of the path with the highest score when it reaches the (I, J) position from the starting point. Then, we can use the method of dynamic programming to calculate the value of dp array.

Specifically, for each position (i, j), we can reach the position from the following two directions:

1. Reach (i, j) from above: We can reach (i, j) from position (i- 1, j) with the same score.

2. Arrive at (i, j) from the left: We can reach the position (i, j- 1) from the position, and the score will increase by 1.

Therefore, we can get the state transition equation:

dp[i][j] = max(dp[i- 1][j],dp[i][j- 1] + scores[i][j])

Where scores[i][j] represents the score of position (i, j).

Finally, we only need to return dp[n- 1][n-2], which represents the score of the path with the highest score from the starting point to the finishing point.