diff --git a/walk.go b/walk.go
new file mode 100644
index 0000000..edecf87
--- /dev/null
+++ b/walk.go
@@ -0,0 +1,41 @@
+package levenshtein
+
+func Walk[T Number](mat []T, width uint, to func(uint, uint)) {
+	pos := uint(len(mat) - 1)
+	x := (pos % width)
+	y := (pos / width)
+	for x > 0 && y > 0 {
+		diag := x - 1 + width*(y-1)
+		up := x + width*(y-1)
+		left := x - 1 + width*(y)
+		if diag >= 0 {
+			if mat[diag] < mat[left] && mat[diag] < mat[up] {
+				x--
+				y--
+				to(x, y)
+				continue
+			}
+		}
+		if left >= 0 && up >= 0 {
+			if mat[up] < mat[left] {
+				y--
+				to(x, y)
+				continue
+			} else {
+				x--
+				to(x, y)
+				continue
+			}
+		}
+		if left >= 0 {
+			x--
+			to(x, y)
+			continue
+		}
+		if up >= 0 {
+			y--
+			to(x, y)
+			continue
+		}
+	}
+}