reorg and add code for second edition

11_dynamic_programming/PowerShell/01_longest_common_subsequence.ps1

@@ -0,0 +1,32 @@
+$word_a = "fish"
+$word_b = "vista"
+
+# Init the empty two-dimensional array
+$cell = @()
+for ($i = 0; $i -lt $word_a.Length; $i++)
+{
+    $list = @()
+    for ($j = 0; $j -lt $word_b.Length; $j++)
+    {
+        $list += , 0
+    }
+    $cell += , $list
+}
+
+for ($i = 0; $i -lt $word_a.Length; $i++)
+{
+    for ($j = 0; $j -lt $word_b.Length; $j++)
+    {
+        if ($word_a[$i] -eq $word_b[$j]) {
+            # The letters match.
+            $cell[$i][$j] = $cell[$i-1][$j-1] + 1
+        }
+        else
+        {
+            # The letters don't match.
+            $cell[$i][$j] = 0
+    }
+    }
+}
+
+0..($cell.count-1) | ForEach-Object {Write-Host $cell[$_] -Separator `t}