leetcode 715. Range Module_leetcode 715 range-优快云博客

本文介绍了一种区间跟踪模块的设计与实现方法，该模块能够高效地处理区间添加、查询及移除操作。通过具体示例展示了如何使用此模块，并详细解释了其内部运作原理。

摘要生成于 C知道，由 DeepSeek-R1 满血版支持，前往体验 >

A Range Module is a module that tracks ranges of numbers. Your task is to design and implement the following interfaces in an efficient manner.

addRange(int left, int right) Adds the half-open interval [left, right), tracking every real number in that interval. Adding an interval that partially overlaps with currently tracked numbers should add any numbers in the interval [left, right) that are not already tracked.
queryRange(int left, int right) Returns true if and only if every real number in the interval [left, right) is currently being tracked.

removeRange(int left, int right) Stops tracking every real number currently being tracked in the interval [left, right).

Example 1:

addRange(10, 20): null
removeRange(14, 16): null
queryRange(10, 14): true (Every number in [10, 14) is being tracked)
queryRange(13, 15): false (Numbers like 14, 14.03, 14.17 in [13, 15) are not being tracked)
queryRange(16, 17): true (The number 16 in [16, 17) is still being tracked, despite the remove operation)

Note:

A half open interval [left, right) denotes all real numbers left <= x < right.
0 < left < right < 10^9 in all calls to addRange, queryRange, removeRange.
The total number of calls to addRange in a single test case is at most 1000.
The total number of calls to queryRange in a single test case is at most 5000.

The total number of calls to removeRange in a single test case is at most 1000.

题目：

三种操作：

1、加入线段

2、删除线段

3、是否命中线段

边界有点多，不是很好写！

#include <iostream>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>
#include <set>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <string>
#include <math.h>

using namespace std;

class RangeModule {
public:
    RangeModule(){}
    
    void addRange(int left, int right)
    {
        addRangeHelper(left, right, 0);
        addconnect();
        printhelper();
    }
    
    bool queryRange(int left, int right)
    {
        return queryRangeHelper(left, right, 0);
    }
    
    void removeRange(int left, int right)
    {
        removeRangeHelper(left, right, 0);
        addconnect();
        printhelper();
    }
private:
    vector<pair<int, int>> all;
    
    bool queryRangeHelper(int left, int right, int startIndex)
    {
        for (int i = max(startIndex, 0); i < all.size(); i++)
        {
            if (left >= all[i].second)
                continue;
            else if (left >= all[i].first && right <= all[i].second)        //只有刚好在某一个块内部 才能命中
                return true;
            else
                return false;
        }
        return false;
    }
    
    void addconnect()
    {
        if (all.size() >= 2)
        {
            int i = 0;
            while (i < all.size() - 1)
            {
                if (all[i].second == all[i + 1].first)
                {
                    all[i].second = all[i + 1].second;
                    all.erase(all.begin() + i + 1);
                }
                else if (all[i].first == all[i].second) //没有检测最后一个，要double check一下
                {
                    all.erase(all.begin() + i);
                }
                else
                    i ++;
            }
        }
        
        //double check
        if (!all.empty() && all.back().first == all.back().second)
            all.pop_back();
    }
    
    void addRangeHelper(int left, int right, int startIndex)
    {
        if (all.empty())
        {
            all.push_back({left, right});
            return;
        }
        
        for (int i = max(startIndex, 0); i < all.size(); i++)
        {
            if (left >= all[i].second)  //在当前的后面
                continue;
            else if (right <= all[i].first)
            {
                all.insert(all.begin() + i, {left, right});
                break;
            }
            else if (all[i].first <= left && right <= all[i].second)    //插入情况 1
            {
                return;
            }
            else if (left <= all[i].first && right <= all[i].second)    // 插入情况 3
            {
                all[i].first = left;
                return;
            }
            else if (left <= all[i].first && right > all[i].second)     // 插入情况 2
            {
                all[i].first = left;
                addRangeHelper(all[i].second, right, i - 2);
                return;
            }
            else if (left > all[i].first && right > all[i].second)     // 插入情况 4
            {
                addRangeHelper(all[i].second, right, i - 2);
                return;
            }
        }
        
        if (left >= all.back().second)                                  //情况5 可能比现有的所有都要后面
            all.push_back({left,right});
    }
    
    void removeRangeHelper(int left, int right, int startIndex)
    {
        for (int i = max(startIndex, 0); i < all.size(); i ++)
        {
            if (left >= all[i].second)
                continue;
            else if (right <= all[i].first)
                break;
            else if (left == all[i].first && right == all[i].second)    //完全和当前的重合，那就直接删除
            {
                all.erase(all.begin() + i);
                return;
            }
            else if (all[i].first <= left && right <= all[i].second)    //删除情况3
            {
                all.insert(all.begin() + i + 1, {right, all[i].second});
                all[i].second = left;
                if (left == all[i].first)
                    all.erase(all.begin() + i);
                return;
            }
            else if (left <= all[i].first && right <= all[i].second)    // 删除情况1
            {
                removeRangeHelper(all[i].first, right, i - 2);
                return;
            }
            else if (left <= all[i].first && right > all[i].second)     // 删除情况2
            {
                int tmp = all[i].second;
                all.erase(all.begin() + i);
                removeRangeHelper(tmp, right, i - 2);
                return;
            }
            else if (left > all[i].first && right > all[i].second)     // 删除情况4
            {
                int tmp = all[i].second;
                all[i].second = left;
                removeRangeHelper(tmp, right, i - 2);
                return;
            }
        }
    }
    
    void printhelper()
    {
        for (auto it : all)
            cout<<it.first<<"-"<<it.second<<"   ";
        cout<<endl;
    }
};

int main()
{
    RangeModule test;
    
    test.removeRange(7, 8);
    test.addRange(4, 10);
    
    cout<<test.queryRange(7, 8)<<endl;
    cout<<test.queryRange(5, 7)<<endl;
    cout<<test.queryRange(1, 8)<<endl;
    
    test.addRange(2, 6);
    test.addRange(4, 6);

    test.removeRange(3, 4);
    test.removeRange(5, 7);
    
    return 0;
}