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The Coin Collection problem is defined as follows: Several coins are placed on an n x m board with at most one coin per

   

The Coin Collection problem is defined as follows: Several coins are placed on an n x m board with at most one coin per cell of the board. A robot is initially located at the upper left cell of the board. The robot can only move to the right or down; it can not move up or left. When the robot visits a cell where a coin is located, it picks it up. At most, how many coins can the robot collect? This problem can be solved by the following method: void Robot Coin (int n, int m, //size of the board } int C[n][m] //Is there a coin in (i, j) ) { int F[n] [m]; //How many coins can be collected while on (i, j) F[0][0] = C[0][0]; for (int k=1; k

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