Cycle Detection and Removal in Linked list problem

all test case has not pass. please correct it.

bool floydCycleRemoval(Node *head)
{
    /* Code here */
    if(head==NULL)return false;
    Node*slow=head,*fast=head->next;

	while(fast&&fast->next){
		if(slow==fast)break;
		slow=slow->next;
		fast=fast->next->next;
	}
	// if cycle not present
	if(fast==NULL||fast->next==NULL)return false;
     if (fast->next == head)
    {
        fast->next = NULL;
        return true;
    }
		fast=fast->next;
    slow=head;
	/// move slow and fast one by one
	while(slow->next!=fast->next){
		slow=slow->next;
		fast=fast->next;
	}
	fast->next=NULL;
    return true;
}

this is correct way to do it

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