Can someone please help me to calculate the complexity of this code?

Question link: https://leetcode.com/contest/biweekly-contest-1/problems/campus-bikes-ii/
Problem is very similar to Assignment Problem, I want to calculate the complexity of this program, I think the complexity is O(b^w) where b is size of total bikes and w is size of total workers, though I'm not sure. Can someone please help me to figure out the complexity, some explanation would be highly appreciated.

class Solution {
public:
    int assignBikes(vector<vector<int>>& workers, vector<vector<int>>& bikes) {
        int w = workers.size();
        int b = bikes.size();
        vector<vector<int> > dist;
        
        //complexity O(w*b)
        for( vector<int> worker : workers ) {
            vector<int> v;
            for( vector<int> bike : bikes ) {
                v.push_back( abs(worker[0]-bike[0]) + abs(worker[1]-bike[1]) );
            }
            dist.push_back(v);
        }
        
        vector<int> vis(b,0);
        //complexity O(b^w) My calculation
        return bikeAssign(dist, vis, 0, w );
    }
    
    int bikeAssign( vector<vector<int> > &dist, vector<int> &vis, int cnt, int w ) {
        if( cnt == w )
            return 0;
        
        int res = INT_MAX;
        for( int i=0;i<dist[0].size();i++ ) {
            if( vis[i] == 0 ) {
                vis[i] = 1;
                res = min( res, dist[cnt][i] + bikeAssign( dist, vis, cnt+1, w) );
                vis[i] = 0;
            }
        }
        
        return res;
    }
};
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