Hello, and welcome back to our coding lesson series. In this unit, we have a fascinating problem at hand that uses the concept of 2D slices or grids. What's interesting about this problem is that it involves not only the simple traversal of the grid but also making this traversal in a unique manner. Initially, the concept might seem a bit tricky, but as we dissect the task and take it step by step, you're sure to enjoy how it unfolds. Are you ready to embark on this adventure? Let's dive right in!
The task before us involves creating a Go function named PathTraverse. This function should perform a particularly ordered traversal through a 2D grid. The function will accept a grid represented as a slice of slices [][]int, along with the starting cell coordinates as parameters. Starting from the provided cell, the function should move in any one of the four possible directions toward an adjacent cell. However, a condition governs this selection: the new cell value should be strictly greater than the current cell's value. Think of this as navigating a hiking trail where you can only move to higher ground from your current position.
This pattern would continue as we keep selecting the next available larger cell value. The traversal would halt when there are no cells left that satisfy our criteria. The final result of the function will be a []int that includes all the visited cell values in the order of their visitation.
Consider a 3x3 grid:
Plain text11 2 3 24 5 6 37 8 9
If we start at the cell with the value 5, we can logically move to either 6 or 8. Let's say we choose 8; the only cell that we can now move to is 9. After this, we have no more moves left that fit our criteria. Hence, the function returns {5, 8, 9}.
The first thing we need to do is determine the dimensions of our grid, which can be done in Go by using len(grid) for rows and len(grid[0]) for columns. We can also establish the directions that our traversal can take. In the context of slices, moving "up" means moving one step towards the first row (decreasing the row index). Similarly, moving "down" corresponds to moving one step towards the last row (increasing the row index), and moving left or right relates to decrementing or incrementing the column index, respectively.
Go1package main 2 3import "fmt" 4 5func PathTraverse(grid [][]int, startRow, startCol int) []int { 6 rows := len(grid) 7 cols := len(grid[0]) 8 directions := [][]int{ 9 {-1, 0}, // Up 10 {1, 0}, // Down 11 {0, -1}, // Left 12 {0, 1}, // Right 13 } 14 15 // More steps will follow here
In the directions slice, each pair represents a direction in terms of a pair (rowOffset, colOffset). So, if we are at a cell (r, c), moving up corresponds to going to the cell (r-1, c), moving down corresponds to (r+1, c), moving left corresponds to (r, c-1), and moving right corresponds to (r, c+1).
Once we have the grid's dimensions and the possible directions, we should validate the starting point and set up our visited cell recording mechanism.
Go1package main 2 3import ( 4 "fmt" 5 "log" 6) 7 8func PathTraverse(grid [][]int, startRow, startCol int) []int { 9 rows := len(grid) 10 cols := len(grid[0]) 11 12 // Check the validity of the input 13 if startRow < 0 || startRow >= rows || startCol < 0 || startCol >= cols { 14 log.Fatal("Invalid input") 15 } 16 17 // Define all four possible directions of movement 18 directions := [][]int{ 19 {1, 0}, {-1, 0}, {0, -1}, {0, 1}, 20 } 21 22 // Start with the value at the starting cell 23 visited := []int{grid[startRow][startCol]}
Let's initiate the grid traversal process in our function. We first set up an infinite loop that will only stop when we break it based on a condition. Inside the infinite loop, for each iteration, we'll have the function try to select the next cell with the maximum value among the adjacent cells. If we find such a cell, we'll capture its value, and it will be our next cell.
Go1package main 2 3import ( 4 "fmt" 5 "log" 6) 7 8func PathTraverse(grid [][]int, startRow, startCol int) []int { 9 rows := len(grid) 10 cols := len(grid[0]) 11 12 // Check the validity of the input 13 if startRow < 0 || startRow >= rows || startCol < 0 || startCol >= cols { 14 log.Fatal("Invalid input") 15 } 16 17 // Define all four possible directions of movement 18 directions := [][]int{ 19 {1, 0}, {-1, 0}, {0, -1}, {0, 1}, 20 } 21 22 // Start with the value at the starting cell 23 visited := []int{grid[startRow][startCol]} 24 25 for { 26 currMax := -1 27 nextRow, nextCol := -1, -1 28 29 // Loop over each adjacent cell in all the directions 30 for _, dir := range directions { 31 newRow := startRow + dir[0] 32 newCol := startCol + dir[1] 33 34 // If the new cell is out of the grid boundary, ignore it 35 if newRow < 0 || newRow >= rows || newCol < 0 || newCol >= cols { 36 continue 37 } 38 39 // If the new cell's value is greater than the current maximum 40 if grid[newRow][newCol] > currMax { 41 // Save it as the next cell to visit 42 nextRow = newRow 43 nextCol = newCol 44 currMax = grid[newRow][newCol] 45 } 46 } 47 48 // If we don't have any valid cell to visit, break from the loop 49 if currMax <= grid[startRow][startCol] { 50 break 51 } 52 53 // Otherwise, go to the next cell 54 startRow = nextRow 55 startCol = nextCol 56 57 // Append the cell's value to the result slice 58 visited = append(visited, currMax) 59 } 60 61 // Return the slice of visited cells' values 62 return visited 63} 64 65func main() { 66 grid := [][]int{ 67 {1, 2, 3}, 68 {4, 5, 6}, 69 {7, 8, 9}, 70 } 71 res := PathTraverse(grid, 1, 1) 72 for _, val := range res { 73 fmt.Print(val, " ") 74 } 75 fmt.Println() 76 77 // Outputs: 5 8 9 78}
Bravo! You've successfully solved a complex problem involving the traversal of a grid in a unique pattern using Go. This function tests not only your skills in Go programming but also your ability to visualize spatial patterns.
Having digested this knowledge, it's now time to test your understanding and apply these concepts to similar problems. Watch out for the ensuing practice session, where you can dabble with more challenging problems and refine your problem-solving skills. Keep up the good work and happy coding with Go!