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Copy pathRemove Max Number of Edges to Keep Graph Fully Traversable.java
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Remove Max Number of Edges to Keep Graph Fully Traversable.java
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class Solution {
public int maxNumEdgesToRemove(int n, int[][] edges)
{
Arrays.sort(edges , (a,b) -> b[0] - a[0]);
int[] aparent = new int[n+1];
int[] bparent = new int[n+1];
int[] arank = new int[n+1];
int[] brank = new int[n+1];
for(int i=0;i<n+1;i++){
aparent[i] = i;
bparent[i] = i;
arank[i] = 1;
brank[i] = 1;
}
int amerged = 1;
int bmerged = 1;
int remove = 0;
for(int[] edge : edges){
if(edge[0] == 3){
boolean aunion = union(edge[1] , edge[2] , aparent , arank);
boolean bunion = union(edge[1] , edge[2] , bparent , brank);
if(aunion == true)
amerged++;
if(bunion == true)
bmerged++;
if(aunion == false && bunion == false)
remove++;
}
else if(edge[0] == 1){
boolean aunion = union(edge[1] , edge[2] , aparent , arank);
if(aunion == true)
amerged++;
else
remove++;
}
else{
boolean bunion = union(edge[1] , edge[2] , bparent , brank);
if(bunion == true)
bmerged++;
else
remove++;
}
}
if(amerged != n || bmerged != n)
return -1;
return remove;
}
public int find(int x , int[] parent){
if(parent[x] == x)
return x;
int temp = find(parent[x] , parent);
parent[x] = temp;
return temp;
}
public boolean union(int x , int y , int[] parent , int[] rank){
int lx = find(x , parent);
int ly = find(y , parent);
if(lx != ly){
if(rank[lx] > rank[ly])
parent[ly] = lx;
else if(rank[ly] > rank[lx])
parent[lx] = ly;
else{
parent[ly] = lx;
rank[lx]++;
}
return true;
}
return false;
}
}