算法导论水壶问题

（第三版第八章思考题8-4）
本算法只适用于解题，不通用。
期望的时间复杂度O（nlgn）
Kettle.h文件

#ifndef C11LEARN_KETTLE_H
#define C11LEARN_KETTLE_H#include <iostream>
#include <vector>
#include "../tools/random.h"
using namespace std;
class Kettle {
public:string color;float size;int identifier;
public:Kettle(string color,float size,int identifier);Kettle();
};
void matching_kettle(vector<Kettle> red,vector<Kettle> blue);#endif //C11LEARN_KETTLE_H

Kettle.cpp文件

#include "Kettle.h"
Kettle::Kettle(string color,float size,int identifier):color(color),size(size),identifier(identifier){};
Kettle::Kettle(){};
int quick_sort_partition(vector<Kettle>& red,vector<Kettle>& blue,int start,int end)
{int random = random_include_left_right(start,end);Kettle key = red[random];red[random] = red[end];red[end] = key;Kettle temp;int less_line = start - 1;for (int i = start; i < end; ++i) {if(blue[i].size < key.size){less_line++;temp = blue[i];blue[i] = blue[less_line];blue[less_line] = temp;}else if(blue[i].size == key.size){temp = blue[end];blue[end] = blue[i];blue[i] = temp;i--;}}key = blue[end];blue[end] = blue[less_line+1];blue[less_line+1] = key;temp = red[less_line+1];red[less_line+1] = red[end];red[end] = temp;less_line = start - 1;for (int i = start; i < end; ++i) {if(red[i].size < key.size){less_line++;temp = blue[i];red[i] = red[less_line];red[less_line] = temp;}}return less_line + 1;
}
void matching_kettle(vector<Kettle>& red,vector<Kettle>& blue,int start,int end){if(start<end){int k = quick_sort_partition(red,blue,start,end);matching_kettle(red,blue,start,k-1);matching_kettle(red,blue,k+1,end);}
}
void matching_kettle(vector<Kettle> red,vector<Kettle> blue){matching_kettle(red,blue, 0,red.size()-1);
}