#include <iostream>
#include <queue>
#include <vector>
#include <cmath>
#include <string>

using namespace std;

// 位置信息类
class Position {
public:
    Position(double x, double y, double z) : _x(x), _y(y), _z(z) { }
    double distance() const { return sqrt(_x*_x + _y*_y + _z*_z); }
    friend bool operator<(const Position& a, const Position& b) { return a.distance() > b.distance(); } // 定义比较函数，用于排序
    friend ostream& operator<<(ostream& os, const Position& pos) { 
        os << "{\"x\":" << pos._x << ",\"y\":" << pos._y << ",\"z\":" << pos._z << "}";
        return os;
    }
private:
    double _x;
    double _y;
    double _z;
};

// 队列类
class PositionQueue {
public:
    PositionQueue() { } 
    void insert(const Position& pos) { _queue.push(pos); } // 插入
    void output_sorted() { // 输出
        vector<Position> positions;
        while (!_queue.empty()) {
            positions.push_back(_queue.top());
            _queue.pop();
        }
        for (auto& pos : positions) {
            cout << pos << endl;
        }
    }
private:
    priority_queue<Position> _queue; 
};