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Count Servers that Communicate.java
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// Runtime: 24 ms (Top 15.77%) | Memory: 68.5 MB (Top 7.89%)
class Solution {
int []parent;
int []rank;
public int countServers(int[][] grid) {
parent=new int[grid.length*grid[0].length];
rank=new int[grid.length*grid[0].length];
for(int i=0;i<parent.length;i++){
parent[i]=i;
rank[i]=0;
}
for(int i=0;i<grid.length;i++){
for(int j=0;j<grid[0].length;j++){
if(grid[i][j]==1){
check(i,j,grid);
}
}
}
int count=0;
for(int i=0;i<parent.length;i++){
if(parent[i]!=i||rank[i]>0){
count++;
}
}
return count;
}
public void check(int sr,int sc,int [][]grid){
int mbox=sr*grid[0].length+sc;
for(int i=sr;i<grid.length;i++){
if(grid[i][sc]==1){
int cbox=i*grid[0].length+sc;
int xl=find(mbox);
int yl=find(cbox);
if(xl!=yl){
union(xl,yl);
}
}
}
for(int j=sc;j<grid[0].length;j++){
if(grid[sr][j]==1){
int cbox=sr*grid[0].length+j;
int xl=find(mbox);
int yl=find(cbox);
if(xl!=yl){
union(xl,yl);
}
}
}
}
int find(int x){
if(parent[x]==x){
return x;
}else{
parent[x]=find(parent[x]);
return parent[x];
}
}
void union(int x,int y){
if(rank[x]>rank[y]){
parent[y]=x;
}else if(rank[y]>rank[x]){
parent[x]=y;
}else{
parent[x]=y;
rank[y]++;
}
}
}