problem:
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Given a collection of intervals, merge all overlapping intervals.
For example,
Given [1,3],[2,6],[8,10],[15,18],
return [1,6],[8,10],[15,18].
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Hide Tags Array Sort 题意:给定数组区间,合并有覆盖或者相邻的区间?
thinking:
(1)一开始我想到用hash table的方法,开一个总区间跨度的数组,对于有区间覆盖的数组区间置为true,没被覆盖的数组区间置为false,最后将true区间的起点和终点作为区间输出即可。思路简单,但是,我忽略一个问题:区间跨度是不定的,所以要开的数组大小有可能很大。提交也显示:Memory Limit Exceeded
(2)换一种方法,排序法。
可以直接对vector
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code:
排序法: Accepted
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class Solution {
public:
vector
merge(vector
&intervals) { vector
ret; multimap
map_intervals; if(intervals.size()==0) return ret; if(intervals.size()==1) return intervals; for(vector
::iterator it=intervals.begin();it!=intervals.end();it++) map_intervals.insert(make_pair((*it).start,(*it).end)); multimap
::iterator p=map_intervals.begin(); Interval tmp(p->first,p->second); for(multimap
::iterator k=++p;k!=map_intervals.end();k++) { if(k->first<=tmp.end) tmp.end=max(tmp.end,k->second); else { ret.push_back(tmp); tmp.start=k->first; tmp.end=k->second; } } ret.push_back(tmp); return ret; } };
hash table 法:Memory Limit Exceeded
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class Solution {
public:
vector
merge(vector
&intervals) { vector
ret; int first=INT_MAX, last=INT_MIN; for(vector
::iterator tmp=intervals.begin();tmp!=intervals.end();tmp++) { first=min((*tmp).start,first); last=max((*tmp).end,last); } int count=last-first+1; bool *a = new bool[count]; memset(a,false,sizeof(bool)*count); for(vector
::iterator it=intervals.begin();it!=intervals.end();it++) { int num=(*it).end-(*it).start+1; memset(a+(*it).start,true,sizeof(bool)*num); } int interval_start=0,interval_end=0; while(interval_end
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