Imagine you are implementing an algorithm to detect a cycle in a singly linked list and return the node where the cycle begins. If there is no cycle, the algorithm should return null. To achieve this, you use the Floyd's Cycle Detection Algorithm $($also known as the tortoise and the hare algorithm$),$ which involves two pointers moving at different speeds. The algorithm is as follows:

Initialize two pointers, s low and fast, both set to the head of the list.

Move slow by one step and fast by two steps in each iteration of the loop. Continue this until fast is either null or fast. next is null $($indicating no cycle$),$ or s low and fast meet $($indicating a cycle$).$

If no cycle is found $($i$.$e$.,$ fast or fast. next is null$),$ return null.

If a cycle is detected $($i$.$e$.,$ s low equals fast$),$ reinitialize s low to the head of the list and keep fast at the meeting point. Then, move both slow and fast at the same pace $($one step at a time$)$ until they meet again. The meeting point now is the node where the cycle begins.

Which of the following statements accurately assesses the proposed algorithm?

The algorithm cannot detect the cycle's starting node accurately because it does not account for cycles that begin at the head of the list.

The algorithm efficiently detects the cycle's starting node with a time complexity of $0(n),$ where $n$ is the number of nodes in the list.