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There is a 50 x 50 chessboard with one knight and some pawns on it. You are given two integers kx and ky where (kx, ky) denotes the position of the knight, and a 2D array positions where positions[i] = [xi, yi] denotes the position of the pawns on the chessboard. Alice and Bob play a turn-based game, where Alice goes first. In each player's turn: Alice is trying to maximize the sum of the number of moves made by both players until there are no more pawns on the board, whereas Bob tries to minimize them. Return the maximum total number of moves made during the game that Alice can achieve, assuming both players play optimally. Note that in one move, a chess knight has eight possible positions it can move to, as illustrated below. Each move is two cells in a cardinal direction, then one cell in an orthogonal direction.
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There is a 50 x 50 chessboard with one knight and some pawns on it. You are given two integers kx and ky where (kx, ky) denotes the position of the knight, and a 2D array positions where positions[i] = [xi, yi] denotes the position of the pawns on the chessboard. Alice and Bob play a turn-based game, where Alice goes first. In each player's turn: Alice is trying to maximize the sum of the number of moves made by both players until there are no more pawns on the board, whereas Bob tries to minimize them. Return the maximum total number of moves made during the game that Alice can achieve, assuming both players play optimally. Note that in one move, a chess knight has eight possible positions it can move to, as illustrated below. Each move is two cells in a cardinal direction, then one cell in an orthogonal direction.
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kx = 1, ky = 1, positions = [[0,0]]
4
kx = 0, ky = 2, positions = [[1,1],[2,2],[3,3]]
8
kx = 0, ky = 0, positions = [[1,2],[2,4]]
3
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Solve Maximum Number of Moves to Kill All Pawns — There is a 50 x 50 chessboard with one knight and some pawns on it. You are give...
Here's the optimal approach using Array:
Time: O(n) | Space: O(n)
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