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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#470409#6401. Classic: N Real DNA PotsUESTC_xxx#TL 2ms10120kbC++201.0kb2024-07-10 12:58:482024-07-10 12:58:48

Judging History

你现在查看的是最新测评结果

  • [2024-07-10 12:58:48]
  • 评测
  • 测评结果:TL
  • 用时:2ms
  • 内存:10120kb
  • [2024-07-10 12:58:48]
  • 提交

answer

#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
#include<queue>
#include<cmath>
#include<stack>
#include<vector>
#include<map>
#define ll long long
#define lowbit(x) x&(-x)
using namespace std;
int n,k;
double eps=1e-14,g[500005],a[500005];
int f[500005];
struct node{
	ll x,y;
}p[500005];
bool check(double x){
	for(int i=1;i<=n;++i) a[i]=p[i].y-x*p[i].x,g[i]=1e18+1;
	f[1]=1;
	g[1]=a[1];
	g[0]=-1e18-1;
	int cnt=1;
	for(int i=2;i<=n;++i){
		int l=0,r=cnt+1;
		while(l<r){
			int mid=(l+r)/2;
			if(g[mid]<=a[i]) l=mid+1;
			else r=mid;
		}
/*		while(g[l+1]<=a[i]) l++;
		while(g[l]>a[i]) l--;
		l++;*/
		f[i]=l;
		g[l]=min(g[l],a[i]);
		cnt=max(cnt,f[i]);
	}
	if(cnt>=k) return 1;
	return 0;
}
int main(){
	scanf("%d%d",&n,&k);
	for(int i=1;i<=n;++i){
		scanf("%lld%lld",&p[i].x,&p[i].y);
	}
	double l=-1e10,r=1e10;
	while(l+eps<r){
		double mid=(l+r)/2.0;
		if(check(mid)) l=mid;
		else r=mid;
	}
	printf("%.14lf",l);
}
/*
4 4
1 2
2 4
3 3
4 1
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 10084kb

input:

4 3
1 2
2 4
3 3
4 1

output:

-1.00000000000000

result:

ok found '-1.0000000', expected '-1.0000000', error '-0.0000000'

Test #2:

score: 0
Accepted
time: 0ms
memory: 10048kb

input:

2 2
1 1
5 3

output:

0.50000000000000

result:

ok found '0.5000000', expected '0.5000000', error '0.0000000'

Test #3:

score: 0
Accepted
time: 1ms
memory: 10032kb

input:

2 2
222640995 547139825
489207317 725361095

output:

0.66858134464562

result:

ok found '0.6685813', expected '0.6685813', error '0.0000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 10120kb

input:

1000 20
545612 774435015
828317 212155588
5294705 85926095
5648835 764528941
6159263 570820268
7177330 744079287
8446124 162286636
8735551 586528841
9263030 524140841
9505706 636254627
12111352 182639083
12750780 238494418
13149143 913232250
13382784 11485121
13699797 414697815
14263990 423817548
15...

output:

3.79321046228665

result:

ok found '3.7932105', expected '3.7932105', error '0.0000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 10056kb

input:

1000 100
163505 684865289
2674260 837752883
2694530 150054425
2870791 236723512
3262597 800933455
3558503 905056977
4260872 45990808
4532415 268478572
5299228 546172100
6019224 12074540
6345109 747272172
6539452 449655551
7215852 676269961
9062989 769545718
9444242 874911191
10264016 341805234
10595...

output:

-1.86057787604184

result:

ok found '-1.8605779', expected '-1.8605779', error '0.0000000'

Test #6:

score: -100
Time Limit Exceeded

input:

5000 10
34774 620025564
366562 278306777
446710 509672662
650220 70882120
824803 317731338
881144 257861254
1063458 61483347
1071840 639872836
1263842 30790337
1591940 346781076
1964777 814735151
2067497 63962255
2220071 379252135
2539054 428050443
2937092 423099578
3088992 959927412
3229098 9591796...

output:


result: