Language: C++

#include <cstdio>
#include <cstring>
#include <cmath>
#include <iostream>
#include <sstream>
#include <algorithm>
#include <numeric>
#include <functional>
#include <vector>
#include <queue>
#include <string>
#include <complex>
#include <stack>
#include <set>
#include <map>
using namespace std;

//// MACRO ////
#define REP(i,n) for (int i = 0; i < (n); i++)
#define RREP(i,n) for (int i = (n)-1; i >= 0; i--)
#define FOR(i,s,n) for (int i = (s); i < (n); i++)
#define allof(c) c.begin(), c.end()
#define partof(c,i,n) c.begin() + (i), c.begin() + (i) + (n)
#define EPS 1e-9
#define INF 1000000000

#define countof(a) (sizeof(a)/sizeof(a[0]))
#define PREDIACTE(t,a) [](const t & a) -> bool
#define COMPARISON(t,a,b) [](const t & a, const t & b) -> bool

// start up //
void solve();
int main() { solve(); return 0; }

//// prime ////
vector<unsigned char> isPrime;
vector<int> primes;
void initPrimes(int n)
{
	isPrime = vector<unsigned char>(n + 1, true);
	isPrime[0] = isPrime[1] = false;
	FOR(i, 2, n + 1)
	{
		if (!isPrime[i]) continue;
		primes.push_back(i);
		for (int j = i * 2; j <= n; j += i)
			isPrime[j] = false;
	}
}

//// iota iterator ////
struct iotait
{
	int n;
	iotait(int n = 0) : n(n) { }
	iotait &operator ++() { ++n; return *this; }
	int operator *() { return n; }
};

//// geo ////
struct P3
{
	double x, y, z;
	P3(double x=0, double y=0, double z=0) : x(x), y(y), z(z) { }
	P3 operator +() const { return *this; }
	P3 operator +(const P3 &_) const { return P3(x+_.x, y+_.y, z+_.z); }
	P3 operator -() const { return P3(-x, -y, -z); }
	P3 operator -(const P3 &_) const { return *this + -_; }
	P3 operator *(double _) const { return P3(x*_,y*_,z*_); }
	P3 operator /(double _) const { return P3(x/_,y/_,z/_); }
	double dot(const P3 &_) const { return x*_.x + y*_.y + z*_.z; }
	P3 cross(const P3 &_) const { return P3(y*_.z-z*_.y, z*_.x-x*_.z, x*_.y-y*_.x); }
	double sqlength() const { return x*x+y*y+z*z; }
	double length() const { return sqrt(sqlength()); }
	P3 direction() const { return *this / length(); }
};

struct Sphere
{
	P3 c;
	double r;
	Sphere(double x, double y, double z, double r) : c(x,y,z), r(r) { }
};

//// graph ////
struct Path
{
	int from;
	int to;
	double cost;
	Path(int from, int to, double cost) : from(from), to(to), cost(cost) { }
	bool operator < (const Path &rhs) const { return cost < rhs.cost; }
	bool operator > (const Path &rhs) const { return cost > rhs.cost; }
};

// prim //
pair<double, vector<int>> prim(const vector<vector<double>> &costTable)
{
	int N = costTable.size();
	priority_queue<Path, vector<Path>, greater<Path>> q;
	q.push(Path(0, 0, 0));
	
	vector<int> parent(N, -1);
	double totalCost = 0;
	while (!q.empty())
	{
		Path cur = q.top(); q.pop();
		int i = cur.from;
		if (parent[i] != -1) continue;
		parent[i] = cur.from;
		totalCost += cur.cost;
		REP(j,N) if (parent[i] == -1) q.push(Path(i,j,costTable[i][j]));
	}
	return make_pair(totalCost, parent);
}

//// i/o ////
template <class T>
class vevector : public vector<vector<T>>
{
public:
	vevector(int n = 0, int m = 0) : vector<vector<T>>(n, vector<T>(m)) { };
	vevector(int n, int m, const T &initial) : vector<vector<T>>(n, vector<T>(m, initial)) { };
	using vector<vector<T>>::operator []; 
	T& operator [](const POINT &index) { return (*this)[index.real()][index.imag()]; }
};

template <class T> T read() { T t; cin >> t; return t; }
template <class T> vector<T> read(int n) { vector<T> v; REP(i,n) { v.push_back(read<T>()); } return v; }
template <class T> vevector<T> read(int n, int m) { vevector<T> v; REP(i,n) v.push_back(read<T>(m)); return v; }
template <class T> vevector<T> readjag(int n) { vevector<T> v; REP(i,n) v.push_back(read<T>(read<int>())); return v; }
template <class T> void write(const T &t) { cout << t << endl; }
template <class T> void write(const T &t, const T &t2) { cout << t << ' ' << t2 << endl; }
template <class T> void write(const vector<T> &v)
{
	ostringstream ss; 
	for (auto x : v) ss << x << ' ';
	auto s = ss.str();
	cout << s.substr(0, s.length() - 1) << endl;
}

struct _Reader { template <class T> _Reader operator ,(T &rhs) { cin >> rhs; return *this; } };
#define READ(t,...) t __VA_ARGS__; _Reader(), __VA_ARGS__

/// template end ///

void solve()
{
	REP (testcase, INF)
	{
		// よみこみ
		READ(int, N);
		if (!N) { break; }
		vector<Sphere> spheres;
		REP(i,N) { READ(double, x,y,z,r); spheres.push_back(Sphere(x,y,z,r)); }

		// cost[i][j] = 球i - 球j 間に廊下を作った時のコスト表
		vevector<double> costTable(N, N);
		REP(i,N) REP(j,N)
		{
			Sphere &si = spheres[i], &sj = spheres[j];
			costTable[i][j] = max((si.c - sj.c).length() - (si.r + sj.r), 0.0);
		}

		// 最少全域木
		double totalCost = prim(costTable).first;

		write(totalCost);
	}
}

Compiler output:
a.cc:125:30: error: 'POINT' does not name a type
  125 |         T& operator [](const POINT &index) { return (*this)[index.real()][index.imag()]; }
      |                              ^~~~~
a.cc: In member function 'T& vevector<T>::operator[](const int&)':
a.cc:125:67: error: request for member 'real' in 'index', which is of non-class type 'const int'
  125 |         T& operator [](const POINT &index) { return (*this)[index.real()][index.imag()]; }
      |                                                                   ^~~~
a.cc:125:81: error: request for member 'imag' in 'index', which is of non-class type 'const int'
  125 |         T& operator [](const POINT &index) { return (*this)[index.real()][index.imag()]; }
      |                                                                                 ^~~~
a.cc: In function 'void solve()':
a.cc:162:37: error: invalid types 'double[int]' for array subscript
  162 |                         costTable[i][j] = max((si.c - sj.c).length() - (si.r + sj.r), 0.0);
      |                                     ^