From 4b43fceae9ddd09310bf9c5d7106963bcedb069f Mon Sep 17 00:00:00 2001
From: Matej Focko <me@mfocko.xyz>
Date: Sun, 28 Apr 2024 00:36:07 +0200
Subject: [PATCH] =?UTF-8?q?cs:=20add=20=C2=AB514.=20Freedom=20Trail=C2=BB?=
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Signed-off-by: Matej Focko <me@mfocko.xyz>
---
 cs/freedom-trail.cs | 40 ++++++++++++++++++++++++++++++++++++++++
 1 file changed, 40 insertions(+)
 create mode 100644 cs/freedom-trail.cs

diff --git a/cs/freedom-trail.cs b/cs/freedom-trail.cs
new file mode 100644
index 0000000..0efceb4
--- /dev/null
+++ b/cs/freedom-trail.cs
@@ -0,0 +1,40 @@
+public class Solution {
+    private int Steps(int x, int y, int mod) {
+        var distance = Math.Abs(x - y);
+        var coDistance = mod - distance;
+        return Math.Min(distance, coDistance);
+    }
+
+    private void Relax(string ring, string key, int[][] dp, int r, int k) {
+        for (var c = 0; c < ring.Length; ++c) {
+            if (ring[c] != key[k]) {
+                continue;
+            }
+
+            dp[r][k] = Math.Min(
+                dp[r][k],
+                1 + Steps(r, c, ring.Length) + dp[c][k + 1]
+            );
+        }
+    }
+
+    public int FindRotateSteps(string ring, string key) {
+        var dp = new int[ring.Length][];
+        for (var i = 0; i < ring.Length; ++i) {
+            var ringPosition = new int[key.Length + 1];
+
+            Array.Fill(ringPosition, int.MaxValue);
+            ringPosition[key.Length] = 0;
+
+            dp[i] = ringPosition;
+        }
+
+        for (var k = key.Length - 1; k >= 0; --k) {
+            for (var r = 0; r < ring.Length; ++r) {
+                Relax(ring, key, dp, r, k);
+            }
+        }
+
+        return dp[0][0];
+    }
+}