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Gold_Mine_Problem.java
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63 lines (45 loc) · 1.54 KB
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// Java program to solve Gold Mine problem
import java.util.Arrays;
class GoldMine {
static final int MAX = 100;
// Returns maximum amount of gold that
// can be collected when journey started
// from first column and moves allowed
// are right, right-up and right-down
static int getMaxGold(int gold[][], int m, int n)
{
int goldTable[][] = new int[m][n];
for(int[] rows:goldTable)
Arrays.fill(rows, 0);
for (int col = n-1; col >= 0; col--)
{
for (int row = 0; row < m; row++)
{
// Gold collected on going to the cell on the right
int right = (col == n-1) ? 0: goldTable[row][col+1];
// Gold collected on going to the cell to right up
int right_up = (row == 0 || col == n-1) ? 0 :goldTable[row-1][col+1];
// Gold collected on going to the cell to right down
int right_down = (row == m-1|| col == n-1) ? 0 :goldTable[row+1][col+1];
// Max gold collected from taking either of the above 3 paths
goldTable[row][col] = gold[row][col]+ Math.max(right, Math.max(right_up,right_down));
}
}
// The max amount of gold collected will be
// the max value in first column of all rows
int res = goldTable[0][0];
for (int i = 1; i < m; i++)
res = Math.max(res, goldTable[i][0]);
return res;
}
//driver code
public static void main(String arg[])
{
int gold[][]= { {1, 6, 0, 8},
{3, 2, 4, 1},
{9, 0, 2, 3},
{0, 6, 1, 2} };
int m = 4, n = 4;
System.out.print(getMaxGold(gold, m, n));
}
}