From 65400860ee4b149a1da4441ad5300dbf673a0617 Mon Sep 17 00:00:00 2001 From: HersheyDK Date: Mon, 29 Jan 2024 19:58:26 -0500 Subject: [PATCH 1/5] Initial attempt of Sudoku Solver --- sudoku.go | 120 ++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 120 insertions(+) diff --git a/sudoku.go b/sudoku.go index 06ab7d0..ac0577a 100644 --- a/sudoku.go +++ b/sudoku.go @@ -1 +1,121 @@ package main + +import "fmt" + +const dim = 9 +const emptyCell = 0 + +// solves the Sudoku puzzle using backtracking +func solve(grid [][]int) bool { + row, col, found := findEmptyCell(grid) + + // check if successful + if !found { + return true + } + + // Filling empty cells + for num := 1; num <= dim; num++ { + if checkIfSafe(grid, row, col, num) { + grid[row][col] = num + // recursive step to solve puzzle + if solve(grid) { + return true + } + + // If solution is invalid, backtrack + grid[row][col] = emptyCell + } + } + return false +} + +// finds the position of empty cells +func findEmptyCell(grid [][]int) (int, int, bool) { + for row := 0; row < dim; row++ { + for col := 0; col < dim; col++ { + if grid[row][col] == emptyCell { + return row, col, true + } + } + } + return -1, -1, false +} + +// checks if specified value is present in the given row +func checkRow(grid [][]int, row int, val int) bool { + for columnIndex := 0; columnIndex < dim; columnIndex++ { + if grid[row][columnIndex] == val { + return true + } + } + return false +} + +// checks if specified value is present in the given column +func checkCol(grid [][]int, col int, val int) bool { + for rowIndex := 0; rowIndex < dim; rowIndex++ { + if grid[rowIndex][col] == val { + return true + } + } + return false +} + +// checks if specified value is present in the given section +func checkSection(grid [][]int, row int, col int, val int) bool { + for rowIndex := 0; rowIndex < 3; rowIndex++ { + for colIndex := 0; colIndex < 3; colIndex++ { + if grid[rowIndex+row][colIndex+col] == val { + return true + } + } + } + return false +} + +// checks whether the given value is able to be placed in the given position +func checkIfSafe(grid [][]int, row int, col int, val int) bool { + return grid[row][col] == emptyCell && !checkRow(grid, row, val) && !checkCol(grid, col, val) && !checkSection(grid, row-row%3, col-col%3, val) +} + +// prints the grid +func printGrid(grid [][]int) { + for rowIndex := 0; rowIndex < dim; rowIndex++ { + for colIndex := 0; colIndex < dim; colIndex++ { + fmt.Printf("%d ", grid[rowIndex][colIndex]) + } + fmt.Println() + } +} + +// solves the puzzle +func SolveSudoku(input [][]int) [][]int { + if !solve(input) { + return nil + } + + return input +} + +// main function, used for debugging +func main() { + grid := [][]int{ + {5, 3, 0, 0, 7, 0, 0, 0, 0}, + {6, 0, 0, 1, 9, 5, 0, 0, 0}, + {0, 9, 8, 0, 0, 0, 0, 6, 0}, + {8, 0, 0, 0, 6, 0, 0, 0, 3}, + {4, 0, 0, 8, 0, 3, 0, 0, 1}, + {7, 0, 0, 0, 2, 0, 0, 0, 6}, + {0, 6, 0, 0, 0, 0, 2, 8, 0}, + {0, 0, 0, 4, 1, 9, 0, 0, 5}, + {0, 0, 0, 0, 8, 0, 0, 7, 9}, + } + + solved := SolveSudoku(grid) + if solved != nil { + printGrid(solved) + return + } + fmt.Println("Cannot be solved") +} From 7c3c15eeed8db400afce32c368ccd20b0c419718 Mon Sep 17 00:00:00 2001 From: HersheyDK Date: Mon, 29 Jan 2024 20:29:35 -0500 Subject: [PATCH 2/5] Sudoku Solver --- sudoku.go | 30 ++++++++++++++++++++---------- 1 file changed, 20 insertions(+), 10 deletions(-) diff --git a/sudoku.go b/sudoku.go index ac0577a..2d087b2 100644 --- a/sudoku.go +++ b/sudoku.go @@ -91,6 +91,16 @@ func printGrid(grid [][]int) { // solves the puzzle func SolveSudoku(input [][]int) [][]int { + // checks if input is 9x9 + if len(input) != 9 { + return nil + } + for _, row := range input { + if len(row) != 9 { + return nil + } + } + if !solve(input) { return nil } @@ -100,16 +110,16 @@ func SolveSudoku(input [][]int) [][]int { // main function, used for debugging func main() { - grid := [][]int{ - {5, 3, 0, 0, 7, 0, 0, 0, 0}, - {6, 0, 0, 1, 9, 5, 0, 0, 0}, - {0, 9, 8, 0, 0, 0, 0, 6, 0}, - {8, 0, 0, 0, 6, 0, 0, 0, 3}, - {4, 0, 0, 8, 0, 3, 0, 0, 1}, - {7, 0, 0, 0, 2, 0, 0, 0, 6}, - {0, 6, 0, 0, 0, 0, 2, 8, 0}, - {0, 0, 0, 4, 1, 9, 0, 0, 5}, - {0, 0, 0, 0, 8, 0, 0, 7, 9}, + grid := [][]int { + {0, 0, 1, 0, 5, 0, 0, 4, 0}, + {0, 0, 3, 1, 0, 0, 2, 6, 0}, + {0, 0, 0, 0, 7, 0, 1, 0, 0}, + {0, 0, 2, 7, 9, 0, 0, 1, 0}, + {0, 0, 0, 6, 0, 0, 5, 2, 0}, + {0, 6, 0, 0, 0, 0, 7, 0, 0}, + {0, 5, 0, 0, 0, 0, 0, 9, 0}, + {0, 0, 4, 0, 2, 0, 0, 0, 0}, + {0, 0, 7, 0, 0, 0, 6, 0, 5}, } solved := SolveSudoku(grid) From 6ac69af9d60b7e5681a7d8b5ab333e9417f2b3ba Mon Sep 17 00:00:00 2001 From: HersheyDK Date: Mon, 29 Jan 2024 22:11:50 -0500 Subject: [PATCH 3/5] Updated README and added a check for valid input --- README.md | 35 ++++++++++++++++++++++++++++++ sudoku.go | 64 +++++++++++++++++++++++++++++++++++++++++++++++++++++++ 2 files changed, 99 insertions(+) diff --git a/README.md b/README.md index 9be54f0..8a8d2df 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,38 @@ +# Hersh Hajare +## Shopify technical challenge submission + +## My attempt +Unfortunately, due to technical issues, I had only a few hours to complete the challenge. I knew that I had to attempt this challenge using some sort of recursive approach. The idea of making a backtrack approach came from a class discussion involving a similar problem, so I knew exactly where to start. Once I had an idea of what the recursive function would look like, the rest came easily. To ensure my code worked properly, I used many test cases, including the most difficult Sudoku puzzles I could find online. This ensured correctness. + +Something to note is the code works assuming the inputted puzzle is a valid Sudoku puzzle. There were instances of the program giving a solution with an invalid puzzle. To solve this I had included a check to see if the inputted puzzle is valid. + +For example: This input is not a valid Sudoku puzzle, there cannot be two 5s within the same section and column. +[ + [5, 3, 0, 0, 7, 0, 0, 0, 0], + [5, 0, 0, 1, 9, 5, 0, 0, 0], + [0, 9, 8, 0, 0, 0, 0, 6, 0], + [8, 0, 0, 0, 6, 0, 0, 0, 3], + [4, 0, 0, 8, 0, 3, 0, 0, 1], + [7, 0, 0, 0, 2, 0, 0, 0, 6], + [0, 6, 0, 0, 0, 0, 2, 8, 0], + [0, 0, 0, 4, 1, 9, 0, 0, 5], + [0, 0, 0, 0, 8, 0, 0, 7, 9] +] + +However, the program would output the following: +[ + [5, 3, 4, 6, 7, 8, 9, 1, 2], + [5, 7, 2, 1, 9, 5, 3, 4, 8], + [1, 9, 8, 3, 4, 2, 5, 6, 7], + [8, 5, 9, 7, 6, 1, 4, 2, 3], + [4, 2, 6, 8, 5, 3, 7, 9, 1], + [7, 1, 3, 9, 2, 4, 8, 5, 6], + [9, 6, 1, 5, 3, 7, 2, 8, 4], + [2, 8, 7, 4, 1, 9, 6, 3, 5], + [3, 4, 5, 2, 8, 6, 1, 7, 9] +] + + # Technical Instructions 1. Fork this repo to your local Github account. 2. Create a new branch to complete all your work in. diff --git a/sudoku.go b/sudoku.go index 2d087b2..2a0c7ca 100644 --- a/sudoku.go +++ b/sudoku.go @@ -100,6 +100,10 @@ func SolveSudoku(input [][]int) [][]int { return nil } } + + if !isValidInput(input){ + return nil + } if !solve(input) { return nil @@ -108,6 +112,65 @@ func SolveSudoku(input [][]int) [][]int { return input } +func isValidInput(grid [][]int) bool { + for i := 0; i < 9; i++ { + if !checkValidRow(grid, i) || !checkValidCol(grid, i) || !checkValidSection(grid, i) { + return false + } + } + return true +} + +// checks if the specified row is valid +func checkValidRow(grid [][]int, row int) bool { + visited := make(map[int]bool) + for _, value := range grid[row] { + if value != 0 { + if visited[value] { + return false + } + visited[value] = true + } + } + return true +} + +// checks if the specified column is valid +func checkValidCol(grid [][]int, col int) bool { + visited := make(map[int]bool) + for row := 0; row < 9; row++ { + value := grid[row][col] + if value != 0 { + if visited[value] { + return false + } + visited[value] = true + } + } + return true +} + +// checks if the specified 3x3 box is valid +func checkValidSection(grid [][]int, box int) bool { + visited := make(map[int]bool) + rowOffset := (box / 3) * 3 + colOffset := (box % 3) * 3 + // section row + for i := 0; i < 3; i++ { + // section column + for j := 0; j < 3; j++ { + value := grid[rowOffset+i][colOffset+j] + if value != 0 { + if visited[value] { + return false + } + visited[value] = true + } + } + } + return true +} + // main function, used for debugging func main() { grid := [][]int { @@ -122,6 +185,7 @@ func main() { {0, 0, 7, 0, 0, 0, 6, 0, 5}, } + solved := SolveSudoku(grid) if solved != nil { printGrid(solved) From 77aacd8e26ca911f83f35a5971c17b9a2e9e09ad Mon Sep 17 00:00:00 2001 From: HersheyDK Date: Mon, 29 Jan 2024 22:13:16 -0500 Subject: [PATCH 4/5] Updated README --- .DS_Store | Bin 0 -> 6148 bytes README.md | 4 ++++ sudoku | Bin 0 -> 1560818 bytes 3 files changed, 4 insertions(+) create mode 100644 .DS_Store create mode 100755 sudoku diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..0e3d880f96291d4eba1166d0ba5bda97dcda07de GIT binary patch literal 6148 zcmeHKyH3ME5ZntcBGIIzye~jXL4O3NM~aj>3XuX*BBy}f9W^cA!3WUrQ&h}8h-|F1 z6fi68jc<3yXHVhvib$G0ZKfg<5gEf3Gc(+GYu0)&Q^swvLFvl2d_B zO)+95rz4)Dt^~G@PM2gS<34e6iU}pz>4;}5msA|NQUNN^SK!RI6Yc+V_=)+yPvVXW zP=PmC Lstb(@{DuNwNy{h* literal 0 HcmV?d00001 diff --git a/README.md b/README.md index 8a8d2df..b0ece73 100644 --- a/README.md +++ b/README.md @@ -7,6 +7,7 @@ Unfortunately, due to technical issues, I had only a few hours to complete the c Something to note is the code works assuming the inputted puzzle is a valid Sudoku puzzle. There were instances of the program giving a solution with an invalid puzzle. To solve this I had included a check to see if the inputted puzzle is valid. For example: This input is not a valid Sudoku puzzle, there cannot be two 5s within the same section and column. +``` [ [5, 3, 0, 0, 7, 0, 0, 0, 0], [5, 0, 0, 1, 9, 5, 0, 0, 0], @@ -18,8 +19,10 @@ For example: This input is not a valid Sudoku puzzle, there cannot be two 5s wit [0, 0, 0, 4, 1, 9, 0, 0, 5], [0, 0, 0, 0, 8, 0, 0, 7, 9] ] +``` However, the program would output the following: +``` [ [5, 3, 4, 6, 7, 8, 9, 1, 2], [5, 7, 2, 1, 9, 5, 3, 4, 8], @@ -31,6 +34,7 @@ However, the program would output the following: [2, 8, 7, 4, 1, 9, 6, 3, 5], [3, 4, 5, 2, 8, 6, 1, 7, 9] ] +``` # Technical Instructions diff --git a/sudoku b/sudoku new file mode 100755 index 0000000000000000000000000000000000000000..fc8fbc10f4e5e10f3c166e83a85208294ecc9f70 GIT binary patch literal 1560818 zcmeFadwiAEmH)rbB{x99ic0GxCl~HoY*8S!ZB7zEP)D4a`D$x_lPfpzTJ01nm_UN4 zv6X{#YN1oYRY|R-6lycAKS2-?Yzv{SGqoMg$pwPZmN3pVN5TBwpZz>f^5h7%^Xu>R z`)l%gojlL8pS{;!d+oK>UTf{k^Q-sX`Cy1K0mEOA-%x(fW*HMU5$=rnIKLVE%F1pj 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b049ab90aee65425dc5bde34893496c6274949ea Mon Sep 17 00:00:00 2001 From: HersheyDK Date: Mon, 29 Jan 2024 22:24:04 -0500 Subject: [PATCH 5/5] Testing --- sudoku.go | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/sudoku.go b/sudoku.go index 2a0c7ca..3512f69 100644 --- a/sudoku.go +++ b/sudoku.go @@ -174,15 +174,15 @@ func checkValidSection(grid [][]int, box int) bool { // main function, used for debugging func main() { grid := [][]int { - {0, 0, 1, 0, 5, 0, 0, 4, 0}, - {0, 0, 3, 1, 0, 0, 2, 6, 0}, - {0, 0, 0, 0, 7, 0, 1, 0, 0}, - {0, 0, 2, 7, 9, 0, 0, 1, 0}, - {0, 0, 0, 6, 0, 0, 5, 2, 0}, - {0, 6, 0, 0, 0, 0, 7, 0, 0}, - {0, 5, 0, 0, 0, 0, 0, 9, 0}, - {0, 0, 4, 0, 2, 0, 0, 0, 0}, - {0, 0, 7, 0, 0, 0, 6, 0, 5}, + {5, 3, 0, 0, 7, 0, 0, 0, 0}, + {6, 0, 0, 1, 9, 5, 0, 0, 0}, + {0, 9, 8, 0, 0, 0, 0, 6, 0}, + {8, 0, 0, 0, 6, 0, 0, 0, 3}, + {4, 0, 0, 8, 0, 3, 0, 0, 1}, + {7, 0, 0, 0, 2, 0, 0, 0, 6}, + {0, 6, 0, 0, 0, 0, 2, 8, 0}, + {0, 0, 0, 4, 1, 9, 0, 0, 5}, + {0, 0, 0, 0, 8, 0, 0, 7, 9}, }