Number of Provinces

There are `n` cities. Some of them are connected, while some are not. If city `a` is connected directly with city `b`, and city `b` is connected directly with city `c`, then city `a` is connected indirectly with city `c`. A province is a group of directly or indirectly connected cities and no other cities outside of the group. You are given an `n x n` matrix `isConnected` where `isConnected[i][j] = 1` if the `i`th city and the `j`th city are directly connected, and `isConnected[i][j] = 0` otherwise. Return the total number of provinces. ### Constraints - `1 <= n <= 200` - `n == isConnected.length == isConnected[i].length` - `isConnected[i][j]` is `1` or `0`. - `isConnected[i][i] == 1` - `isConnected[i][j] == isConnected[j][i]` ### Input Format - Line 1: An integer `n`. - Next `n` lines: `n` space-separated integers (0 or 1). ### Output Format Print the number of provinces.