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almostunionfind.cpp
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almostunionfind.cpp
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#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
struct Disjointset
{
private:
//store node and group of each node
struct node;
struct group;
//store value of the node and the group that it belongs to
struct node
{
group *parent;
ll value;
};
//store parent of each group size and sum of that group
struct group
{
group *parent;
ll sum,size;
};
//vector storing each group and node
vector<group> groups;
vector<node> nodes;
group* find(ll x)
{
group *temp = nodes[x].parent;
while( temp != temp->parent)
{
temp = temp->parent;
}
nodes[x].parent = temp;
return temp;
}
public:
Disjointset(ll n)
{
nodes.resize(n+1);
groups.resize(n+1);
for(ll i = 1; i <= n; i++)
{
nodes[i].value = i;
nodes[i].parent = &groups[i];
groups[i].parent = &groups[i];
groups[i].sum = i;
groups[i].size = 1;
}
}
void unite(ll x, ll y)
{
group *groupx = find(x), *groupy = find(y);
if(groupx == groupy)
return;
if(groupx->size > groupy->size)
{
groupx->sum += groupy->sum;
groupx->size += groupy->size;
groupy->sum = 0;
groupy->size = 0;
groupy->parent = groupx;
}
else
{
groupy->sum += groupx->sum;
groupy->size += groupx->size;
groupx->sum = 0;
groupx->size = 0;
groupx->parent = groupy;
}
}
void move(ll x, ll y)
{
group *groupx = find(x), *groupy = find(y);
if(groupx == groupy)
return;
groupx->sum -= x;
groupy->sum += x;
groupx->size--;
groupy->size++;
nodes[x].parent = groupy;
}
void print(ll n)
{
group *group = find(n);
cout<<group->size<<" "<<group->sum<<endl;
}
};
int main()
{
ll n,k;
while(cin>>n>>k)
{
Disjointset ds(n);
while(k--)
{
ll op;
cin>>op;
ll a,b;
if(op == 1)
{
cin>>a>>b;
ds.unite(a,b);
}
else if(op == 2)
{
cin>>a>>b;
ds.move(a,b);
}
else
{
cin>>a;
ds.print(a);
}
}
}
return 0;
}