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RatInAMaze prints path now
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@ -3,52 +3,65 @@
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* - Given a NxN grid, find whether rat in cell (0,0) can reach target(N-1,N-1);
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* - In grid "0" represent blocked cell and "1" represent empty cell
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*
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* Reference for this problem:
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* - https://www.geeksforgeeks.org/rat-in-a-maze-backtracking-2/
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*
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*/
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// Helper function to find if current cell is out of boundary
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const outOfBoundary = (grid, currentRow, currentColumn) => {
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if (currentRow < 0 || currentColumn < 0 || currentRow >= grid.length || currentColumn >= grid[0].length) return true
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else return false
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if (currentRow < 0 || currentColumn < 0 || currentRow >= grid.length || currentColumn >= grid[0].length) {
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return true
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} else {
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return false
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}
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}
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const isPossible = (grid, currentRow, currentColumn) => {
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if (outOfBoundary(grid, currentRow, currentColumn)) return false
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const printPath = (grid, currentRow, currentColumn, path) => {
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// If cell is out of boundary, we can't proceed
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if (outOfBoundary(grid, currentRow, currentColumn)) return false
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if (grid[currentRow][currentColumn] === 0) return false
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// If cell is blocked then you can't go ahead
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if (grid[currentRow][currentColumn] === 0) return false
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if (currentRow === targetRow && currentColumn === targetColumn) {
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return true
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}
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// If we reached target cell, then print path
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if (currentRow === targetRow && currentColumn === targetColumn) {
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console.log(path)
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return true
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}
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const directions = [
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[1, 0],
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[0, 1],
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[-1, 0],
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[0, -1]
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]
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// R,L,D,U are directions `Right, Left, Down, Up`
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const directions = [
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[1, 0, 'D'],
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[-1, 0, 'U'],
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[0, 1, 'R'],
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[0, -1, 'L']
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]
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for (let i = 0; i < directions.length; i++) {
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const nextRow = currentRow + directions[i][0]; const nextColumn = currentColumn + directions[i][1]
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grid[currentRow][currentColumn] = 0
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if (isPossible(grid, nextRow, nextColumn)) return true
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grid[currentRow][currentColumn] = 1
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}
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return false
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for (let i = 0; i < directions.length; i++) {
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const nextRow = currentRow + directions[i][0]
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const nextColumn = currentColumn + directions[i][1]
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const updatedPath = path + directions[i][2]
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grid[currentRow][currentColumn] = 0
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if (printPath(grid, nextRow, nextColumn, updatedPath)) return true
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grid[currentRow][currentColumn] = 1
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}
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return false
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}
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// Driver Code
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const grid = [
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[1, 1, 1, 1],
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[1, 0, 0, 1],
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[0, 0, 1, 0],
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[1, 1, 0, 1]
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[1, 1, 1, 1],
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[1, 0, 0, 1],
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[0, 0, 1, 1],
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[1, 1, 0, 1]
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]
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const targetRow = grid.length - 1
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const targetColumn = grid[0].length - 1
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if (isPossible(grid, 0, 0)) {
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console.log('Possible')
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} else {
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console.log('Not Possible')
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}
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// Variation 2 : print a possible path to reach from (0, 0) to (N-1, N-1)
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// If there is no path possible then it will print "Not Possible"
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!printPath(grid, 0, 0, '') && console.log('Not Possible')
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