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;
}
};