1 files changed, 18 insertions, 0 deletions
diff --git a/content/math/cycleDetection.cpp b/content/math/cycleDetection.cpp
new file mode 100644
index 0000000..5e68c0c
--- /dev/null
+++ b/content/math/cycleDetection.cpp
@@ -0,0 +1,18 @@
+pair<ll, ll> cycleDetection(ll x0, function<ll(ll)> f) {
+	ll a = x0, b = f(x0), length = 1;
+	for (ll power = 1; a != b; b = f(b), length++) {
+		if (power == length) {
+			power *= 2;
+			length = 0;
+			a = b;
+	}}
+	ll start = 0;
+	a = x0; b = x0;
+	for (ll i = 0; i < length; i++) b = f(b);
+	while (a != b) {
+		a = f(a);
+		b = f(b);
+		start++;
+	}
+	return {start, length};
+}