Given coordinates of 3 cells (X1, Y1), (X2, Y2) and (X3, Y3) of a matrix. The task is to find the minimum path which connects all three of these cells and print the count of all the cells that are connected through this path.
Note: Only possible moves are up, down, left and right.
Input: X1 = 0, Y1 = 0, X2 = 1, Y2 = 1, X3 = 2 and Y3 = 2
(0, 0), (1, 0), (1, 1), (1, 2), (2, 2) are the required cells.
Input: X1 = 0, Y1 = 0, X2 = 2, Y2 = 0, X3 = 1 and Y3 = 1
Approach: First sort the cells from the one with minimum row number at first to one with maximum row number at last. Also, store minimum column number and maximum column number among these three cells in variable MinCol and MaxCol respectively.
After that, store row number of the middle cell(from sorted cells) in variable MidRow and mark all the cells of this MidRow from MinCol to MaxCol.
Now our final step will be to mark all the column number of 1st and 3rd cell till they reach MidRow.
Here, marking means we will store the required cells coordinate in a set. Thus, our answer will be size of this set.
Below is the implementation of the above approach:
- Find whether there is path between two cells in matrix
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- Minimum cells required to reach destination with jumps equal to cell values
- Unique cells in a binary matrix
- Print cells with same rectangular sums in a matrix
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- Number of cells in the right and left diagonals passing through (x, y) in a matrix
- Number of cells a queen can move with obstacles on the chessborad
- Minimum Sum Path in a Triangle
- Minimum sum falling path in a NxN grid
- Minimum odd cost path in a matrix
- Dijkstra's shortest path with minimum edges
- Minimum Cost Path with Left, Right, Bottom and Up moves allowed
- Smallest subarray containing minimum and maximum values
- Count all the numbers in a range with smallest factor as K
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Improved By : Ryuga