[LeetCode] Insert Interval

Given a set of non-overlapping intervals, insert a new interval into the intervals (merge if necessary).

You may assume that the intervals were initially sorted according to their start times.

Example 1:
Given intervals [1,3],[6,9], insert and merge [2,5] in as [1,5],[6,9].

Example 2:
Given [1,2],[3,5],[6,7],[8,10],[12,16], insert and merge [4,9] in as [1,2],[3,10],[12,16].

This is because the new interval [4,9] overlaps with [3,5],[6,7],[8,10].

思路一：找到overlap发生的left和right，然后将left~right直接的做合并，两侧的直接加入到结果中。

不知道为什么结果是 

Submission Result: Output Limit Exceeded

/**
 * Definition for an interval.
 * struct Interval {
 *     int start;
 *     int end;
 *     Interval() : start(0), end(0) {}
 *     Interval(int s, int e) : start(s), end(e) {}
 * };
 */
class Solution {
    public:

        vector<Interval> insert(vector<Interval> &intervals, Interval newInterval) 
        {   
            size_t n = intervals.size();
            vector<Interval> res;
            vector<bool> valid(n, true);
            Interval merge;
            
            if(n == 0)
            {
                res.push_back(newInterval);
                return res;
            }
#if 0
            for(int i = 0; i < intervals.size(); i++)
            {
                cout << "[" << intervals[i].start << "," << intervals[i].end << "]	" ;
            }
            cout << endl;
#endif
            int left = 0, right = 0;
            for(int i = 0; i < n; i++)
            {   
                if(newInterval.start < intervals[i].start)
                {   
                    left = i - 1;
                    break;
                }   
            }   

            if(left == -1 || intervals[left].end < newInterval.start)
            {   
                left ++; 
                merge.start = newInterval.start;
            }   
            else
            {   
                merge.start = intervals[left].start;
            }   

            for(int i = left; i < n; i++)
            {
                if(newInterval.end < intervals[i].start)
                {
                    right = i - 1;
                    break;
                }
            }

            if(right == -1 || intervals[right].end < newInterval.end)
            {
                merge.end = newInterval.end;
            }
            else
            {
                merge.end = intervals[right].end;
            }

            for(int i = 0; i < left; i++)
            {
                res.push_back(intervals[i]);
            }

            res.push_back(merge);

            for(int i = right+1; i < n; i++)
            {
                res.push_back(intervals[i]);
            }

            return res;
        }
};

对上诉code进行分析，发现当newInterval在最后的时候处理的不正确，即当没有interals[i].start > newInterval.start时，处理不正确。修改，加了红色的字体部分后终于AC了。

之后我想 Submission Result: Output Limit Exceeded 的意思应该是输出的东西比expected的多吧。。 总之AC了很开心

class Solution {
    public:

        vector<Interval> insert(vector<Interval> &intervals, Interval newInterval)
        {
            size_t n = intervals.size();
            vector<Interval> res;
            Interval merge;

            if(n == 0)
            {
                res.push_back(newInterval);
                return res;
            }
#if 0
            for(int i = 0; i < intervals.size(); i++)
            {
                cout << "[" << intervals[i].start << "," << intervals[i].end << "]	" ;
            }
            cout << endl;
#endif
            int left = 0, right = 0, i;
            for(i = 0; i < n; i++)
            {
                if(newInterval.start < intervals[i].start)
                {
                    left = i - 1;
                    break;
                }
            }

            if(i == n) //new should be insert at the last 
            {
                left = n-1;
            }

            if(left == -1 || intervals[left].end < newInterval.start)
            {
                left ++;
                merge.start = newInterval.start;
            }
            else
            {
                merge.start = intervals[left].start;
            }

            right = left;
            for(i = left; i < n; i++)
            {
                if(newInterval.end < intervals[i].start)
                {
                    right = i - 1;
                    break;
                }
            }

            if(i == n) //new should be insert at the last 
            {
                right = n-1;
            }

            if(right == -1 || intervals[right].end < newInterval.end)
            {
                merge.end = newInterval.end;
            }
            else
            {
                merge.end = intervals[right].end;
            }

            //cout << "left 	" << left << endl;
            //cout << "right	" << right << endl;

            for(i = 0; i < left; i++)
            {
                res.push_back(intervals[i]);
            }

            res.push_back(merge);

            for(i = right+1; i < n; i++)
            {
                res.push_back(intervals[i]);
            }

            return res;
        }
};

方法二：直接服用merge函数就AC了，就算偷懒了吧

bool cmp(Interval i, Interval j)
{
    return i.start < j.start;
}

class Solution {
    public:
//just reuse the solution of "Merge Intervals", quite straight forward
vector<Interval> insert(vector<Interval> &intervals, Interval newInterval) {

    intervals.push_back(newInterval);

    return merge(intervals);
}
        vector<Interval> merge(vector<Interval> &intervals)
        {
            size_t n = intervals.size();
            vector<bool> valid(n, true);
            vector<Interval> res;

            sort(intervals.begin(), intervals.end(), cmp);

#if 0
            for(int i = 0; i < intervals.size(); i++)
            {
                cout << "[" << intervals[i].start << "," << intervals[i].end << "]	" ;
            }
            cout << endl;
#endif


            for(int i = 1; i < n; i++)
            {   
                Interval & pre = intervals[i-1];
                Interval & cur = intervals[i];

                if(pre.end >= cur.start)
                {   
                    valid[i-1] = false;

                    cur.start = pre.start;
                    if(pre.end > cur.end)
                        cur.end = pre.end;
                }
            }

            for(int i = 0; i < n; i++)
            {
//                cout << valid[i] << endl;
                if(valid[i] == true)
                    res.push_back(intervals[i]);
            }

            return res;
        }
};