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#include <iostream>
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#include <cstdio>
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#include <algorithm>
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#include <vector>
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#include <queue>
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#include <cmath>
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#include <functional>
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using namespace std;
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int t, n;
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vector<int> parent, sz;
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vector < pair<double, double> > point;
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class comparator
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{
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public:
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bool operator()(pair<double, pair<int,int>> &x, pair<double, pair<int,int>> &y)
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{
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return x.first > y.first;
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}
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};
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priority_queue <pair<double, pair<int, int>>, vector<pair<double, pair<int, int>>>, comparator> pq;
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void initialize()
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{
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point.clear();
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parent.clear();
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sz.clear();
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sz.resize(n, 1);
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parent.resize(n);
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for (int i = 0; i < n; i++)
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parent[i] = i;
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}
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double dist(double a, double b, double c, double d)
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{
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return sqrt(((a - c)*(a - c)) + ((b - d)*(b - d)));
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}
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void makeGraph()
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{
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for (int i = 0; i < n; i++)
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{
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for (int j = 0; j < n; j++)
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{
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if(i != j)
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{
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pq.push({ dist(point[i].first, point[i].second, point[j].first, point[j].second), {i, j} });
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}
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}
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}
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}
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int find(int x)
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{
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if (x == parent[x])
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{
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return parent[x];
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}
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else
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{
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return parent[x] = find(parent[x]);
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}
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}
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bool merge(int x, int y)
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{
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int px = find(x);
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int py = find(y);
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if(px == py)
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{
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return false;
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}
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else
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{
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if(sz[px] < sz[py])
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{
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swap(px, py);
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}
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parent[py] = px;
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sz[px] += sz[py];
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return true;
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}
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}
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double mst()
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{
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double how = 0;
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int count = 0;
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while (!pq.empty())
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{
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pair< double, pair<int, int> > top = pq.top();
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pq.pop();
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if(count < n - 1 && merge(top.second.first, top.second.second))
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{
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how += top.first;
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count++;
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}
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}
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return how;
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}
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int main()
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{
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bool ok = false;
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cin >> t;
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while (t--)
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{
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cin >> n;
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initialize();
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for (int i = 0; i < n; i++)
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{
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double x, y;
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cin >> x >> y;
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point.push_back({ x,y });
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}
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makeGraph();
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if (!ok) ok = true;
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else cout << endl;
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printf("%.2f\n", mst());
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}
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} |