[Dana] Add Sudoku solver program (#83)

Add Sudoku solver program

Author: JohnnyPol

dana/programs/sudoku.dana

@@ -0,0 +1,113 @@
+def main
+
+    var board is int[9][9]
+
+    def printBoard: b as int[][9]
+        var i j is int
+        i := 0
+        loop:
+            if i < 9:
+                j := 0
+                loop:
+                    if j < 9:
+                        writeInteger: b[i][j]
+                        if j < 8: writeString: " "
+                        j := j + 1
+                    else: break
+                writeString: "\n"
+                i := i + 1
+            else: break
+
+    def isSafe is byte: b as int[][9], row col num as int
+        var i j boxStartRow boxStartCol is int
+
+        # Row check
+        j := 0
+        loop:
+            if j < 9:
+                if b[row][j] = num: return: false
+                j := j + 1
+            else: break
+
+        # Column check
+        i := 0
+        loop:
+            if i < 9:
+                if b[i][col] = num: return: false
+                i := i + 1
+            else: break
+
+        # 3x3 box check
+        boxStartRow := (row / 3) * 3
+        boxStartCol := (col / 3) * 3
+        i := 0
+        loop:
+            if i < 3:
+                j := 0
+                loop:
+                    if j < 3:
+                        if b[boxStartRow + i][boxStartCol + j] = num: return: false
+                        j := j + 1
+                    else: break
+                i := i + 1
+            else: break
+
+        return: true
+
+    def findEmpty is byte: b as int[][9], rowRef colRef as ref int
+        var i j is int
+        i := 0
+        loop:
+            if i < 9:
+                j := 0
+                loop:
+                    if j < 9:
+                        if b[i][j] = 0:
+                            rowRef := i
+                            colRef := j
+                            return: true
+                        j := j + 1
+                    else: break
+                i := i + 1
+            else: break
+        return: false
+
+    def solve is byte: b as int[][9]
+        var row col num is int
+        var hasEmpty is byte
+
+        hasEmpty := findEmpty(b, row, col)
+        if hasEmpty = false:
+            return: true
+
+        num := 1
+        loop:
+            if num <= 9:
+                if isSafe(b, row, col, num):
+                    b[row][col] := num
+                    if solve(b):
+                        return: true
+                    b[row][col] := 0   # backtrack
+                num := num + 1
+            else: break
+
+        return: false
+
+    # Read 9x9 grid (0 = empty)
+    var i j is int
+    i := 0
+    loop:
+        if i < 9:
+            j := 0
+            loop:
+                if j < 9:
+                    board[i][j] := readInteger()
+                    j := j + 1
+                else: break
+            i := i + 1
+        else: break
+
+    if solve(board):
+        printBoard: board
+    else:
+        writeString: "No solution\n"

dana/programs/sudoku.input

@@ -0,0 +1,9 @@
+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

dana/programs/sudoku.result

@@ -0,0 +1,9 @@
+5 3 4 6 7 8 9 1 2
+6 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