lines
Time Limit: 5000/2500 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 1350 Accepted Submission(s): 558
Problem Description
John has several lines. The lines are covered on the X axis. Let A is a point which is covered by the most lines. John wants to know how many lines cover A.
Input
The first line contains a single integer T(1≤T≤100)(the data for N>100 less than 11 cases),indicating the number of test cases.Each test case begins with an integer N(1≤N≤105),indicating the number of lines.Next N lines contains two integers Xi and Yi(1≤Xi≤Yi≤109),describing a line.
Output
For each case, output an integer means how many lines cover A.
Sample Input
2 5 1 2 2 2 2 4 3 4 5 1000 5 1 1 2 2 3 3 4 4 5 5
Sample Output
3 1
给你n条线段(点也算线段),让你找出被覆盖次数最多的线段的覆盖次数。
直接从左往右跑,线段起点加一过了减一。。。
官方题解:
我们可以将一条线段[xi,yi]分为两个端点xi和(yi)+1, 在xi时该点会新加入一条线段,同样的,在(yi)+1时该点会减少一条线段, 因此对于2n个端点进行排序,令xi为价值1,yi为价值-1,问题转化成了最大区间和, 因为1一定在-1之前,因此问题变成最大前缀和,我们寻找最大值就是答案,另外的, 这题可以用离散化后线段树来做。复杂度为排序的复杂度即nlgn, 另外如果用第一种做法数组应是2n,而不是n,由于各种非确定性因素我在小数据就已 经设了n=10W的点。题解:
1 #include2 #include 3 #include 4 #include 5 #include 6 #define mem(x,y) memset(x,y,sizeof(x)) 7 using namespace std; 8 typedef long long LL; 9 const int INF=0x3f3f3f3f;10 const int MAXN=1e5+100;11 pair pa[MAXN<<1];12 int main(){13 int T,N;14 scanf("%d",&T);15 while(T--){ int a,b;16 scanf("%d",&N);17 for(int i=0;i