Noble Substances

In a chemistry lab, there are N chemical elements (0 to N-1). Some elements are 'Noble'. When elements bond, they form a compound. A compound is 'Stable' if and only if it contains exactly one Noble element. If a compound has zero Noble elements or more than one, it is 'Unstable'. Given the list of Noble elements and a sequence of bonds, report the number of elements that belong to Stable compounds after all bonds are processed. Input Format: The first line contains N (elements), M (bonds), and P (number of Noble elements). The second line contains P unique integers representing the IDs of Noble elements. The next M lines each contain two integers u and v, representing a bond between element u and element v. Output Format: Print a single integer: the total number of elements that are part of a Stable compound after all M bonds. Example: Input: 4 2 2 0 3 0 1 1 2 Output: 3 Explanation: Noble elements are {0, 3}. Bonds: (0,1), (1,2). Compounds: {0,1,2} and {3}. {0,1,2} has one Noble (0) -> Stable. {3} has one Noble (3) -> Stable. Total elements in stable compounds: 3 + 1 = 4. Wait, the example output is 4.