Alice and Bob are playing the neighbouring game
which is originally single game to get the highest point at the end.
You start with an empty 4x4 grid. At each turn you can choose an empty cell and place a value in it. The placed value is given by the following rules:
- If the chosen cell has no neighboring (horizontal or vertical) values then the placed value is 1.
- Otherwise the placed value is the sum of all neighboring (horizontal or vertical) values.
But this time, Alice and Bob are trying to get the highest total point by summing the values they put on the board with the rules by the Neighbouring Game. Alice puts a value on the board then next turn Bob puts and the game goes on. Alice starts the game with putting 1 somewhere on this 4x4 grid table, then Bob continues.
Who is likely to win the game at the end?