pair <int , vector<edge> > PRIM (vector <vector<edge>> adjList) // O (E logV)
{
int N = adjList.size() , cost = 0;
vector<int> visited (N , 0) ;
vector<int> visited2 (N , 0) ;
vector<edge> Graph ;
priority_queue <edge> queueEdges ; // 1) priority_queue to sort edges
// queueEdges.push(edge(-1,0,0)); //add base edge
for(int j = 0 ; j<adjList.size() ; ++j)
{
for(int i = j+1 ; i<adjList[j].size() ; ++i) //3) Iterate on adjacent edges & add new edges, using e.to as src
{
edge conectedEdge = adjList[j][i];
// cout<< conectedEdge.weight<<" ";
queueEdges.push(conectedEdge);
}
// cout<<endl;
}
cout<<"queueEdgesSize: "<< queueEdges.size()<<endl;
while(!queueEdges.empty())
{
edge newEdge = queueEdges.top();
queueEdges.pop();
if ( visited2[newEdge.from] > 1 || visited2[newEdge.to] > 1 ) continue ;
visited2[newEdge.from] ++ ;
visited2[newEdge.to] ++ ;
cost+= newEdge.weight;
Graph.push_back(newEdge);
if(Graph.size()==N-1) break ;
}
return make_pair(cost, Graph );
}
bool isValidSudoku(vector<vector<char>>& board) {
int rows=board.size();
int cols=board[0].size();
if(rows==0) {
return true;
}
vector<bool> visited(10, false);
// Traverse column by column
for(int i=0;i<cols;i++) {
for(int j=0;j<rows;j++) {
if(board[j][i]!='.') {
if(visited[board[j][i]-'0']) {
return false;
}
else {
visited[board[j][i]-'0']=true;
}
}
}
clear(visited);
}
// Traverse row by row
for(int i=0;i<rows;i++) {
for(int j=0;j<cols;j++) {
if(board[i][j]!='.') {
if(visited[board[i][j]-'0']) {
return false;
}
else {
visited[board[i][j]-'0']=true;
}
}
}
clear(visited);
}
vector<bool> visited2(10, false);
vector<bool> visited3(10, false);
vector<bool> *ref;
for(int i=0;i<rows;) {
for(int j=0;j<cols;j++) {
if(j<3)
ref=&visited;
else if(j<6)
ref=&visited2;
else
ref=&visited3;
if(board[i][j]!='.') {
if((*ref)[board[i][j]-'0']) {
cout<<i<<'\t'<<j<<endl;
return false;
}
else {
(*ref)[board[i][j]-'0']=true;
}
}
}
i++;
if(i%3==0) {
clear(visited);
clear(visited2);
clear(visited3);
}
}
return true;
}
