Submission #965435

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
965435	2024-04-18T14:07:48 Z	pcc	Mobile (BOI12_mobile)	C++17	100 / 100	768 ms	65376 KB

mobile

#include <bits/stdc++.h>
using namespace std;
 
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,popcnt,sse4")
 
#define ll long long
#define pll pair<ll,ll>
#define pii pair<int,int>
#define fs first
#define sc second
#define tlll tuple<ll,ll,ll>
#define ld double
#define pld pair<ld,ld>
 
const int mxn = 1e6+10;
ll N,L;
pair<ll,ll> arr[mxn];
 
inline bool check(ld r){
	vector<pld> v;
	for(int i = 0;i<N;i++){
		if(r<arr[i].sc)continue;
		v.push_back(pld(arr[i].fs-sqrt(r*r-arr[i].sc*arr[i].sc),arr[i].fs+sqrt(r*r-arr[i].sc*arr[i].sc)));
		if(v.back().fs<0&&v.back().sc>L)return true;
	}
	//sort(v.begin(),v.end());
	ld pre = 0;
	for(auto &i:v){
		if(pre>L)return true;
		if(pre>=i.fs)pre = max(pre,i.sc);
	}
	return pre>L;
}
 
int main(){
	ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	ld l = 0,r = 2e9;
	cin>>N>>L;
	for(int i = 0;i<N;i++)cin>>arr[i].fs>>arr[i].sc,arr[i].sc = abs(arr[i].sc);
	for(int i = 0;r-l>0.001;i++){
		ld mid = (l+r)/2;
		if(check(mid))r = mid;
		else l = mid;
	}
	cout<<fixed<<setprecision(10)<<l<<'\n';
	return 0;
}

Subtask #1
4.0 / 4.0

#	Verdict	Memory	Grader output
1	Correct	344 KB	Output is correct
2	Correct	348 KB	Output is correct
3	Correct	348 KB	Output is correct
4	Correct	348 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	1 ms	348 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct

Subtask #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	2 ms	604 KB	Output is correct
3	Correct	1 ms	348 KB	Output is correct
4	Correct	2 ms	604 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	604 KB	Output is correct
2	Correct	2 ms	832 KB	Output is correct
3	Correct	2 ms	604 KB	Output is correct
4	Correct	1 ms	604 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	604 KB	Output is correct
2	Correct	3 ms	828 KB	Output is correct
3	Correct	2 ms	600 KB	Output is correct
4	Correct	2 ms	600 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	812 KB	Output is correct
2	Correct	2 ms	828 KB	Output is correct
3	Correct	2 ms	604 KB	Output is correct
4	Correct	2 ms	604 KB	Output is correct
5	Correct	2 ms	472 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	35 ms	6716 KB	Output is correct
2	Correct	44 ms	7104 KB	Output is correct
3	Correct	25 ms	5036 KB	Output is correct
4	Correct	17 ms	4652 KB	Output is correct
5	Correct	7 ms	3680 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	13 ms	4124 KB	Output is correct
2	Correct	13 ms	4288 KB	Output is correct
3	Correct	15 ms	4648 KB	Output is correct
4	Correct	16 ms	4760 KB	Output is correct
5	Correct	18 ms	5064 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	62 ms	6872 KB	Output is correct
2	Correct	38 ms	7252 KB	Output is correct
3	Correct	25 ms	5680 KB	Output is correct
4	Correct	23 ms	6092 KB	Output is correct
5	Correct	15 ms	4532 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	72 ms	7932 KB	Output is correct
2	Correct	66 ms	7816 KB	Output is correct
3	Correct	37 ms	6928 KB	Output is correct
4	Correct	23 ms	6084 KB	Output is correct
5	Correct	19 ms	5516 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	91 ms	7892 KB	Output is correct
2	Correct	55 ms	8048 KB	Output is correct
3	Correct	39 ms	6984 KB	Output is correct
4	Correct	24 ms	6164 KB	Output is correct
5	Correct	18 ms	5324 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	382 ms	29284 KB	Output is correct
2	Correct	245 ms	32604 KB	Output is correct
3	Correct	201 ms	32148 KB	Output is correct
4	Correct	111 ms	25504 KB	Output is correct
5	Correct	96 ms	22772 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	349 ms	33304 KB	Output is correct
2	Correct	256 ms	31996 KB	Output is correct
3	Correct	168 ms	28616 KB	Output is correct
4	Correct	124 ms	24728 KB	Output is correct
5	Correct	103 ms	23988 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	534 ms	43152 KB	Output is correct
2	Correct	322 ms	46084 KB	Output is correct
3	Correct	211 ms	47008 KB	Output is correct
4	Correct	138 ms	30840 KB	Output is correct
5	Correct	115 ms	26644 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	505 ms	48608 KB	Output is correct
2	Correct	322 ms	45720 KB	Output is correct
3	Correct	237 ms	33288 KB	Output is correct
4	Correct	134 ms	29708 KB	Output is correct
5	Correct	115 ms	27656 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	606 ms	47108 KB	Output is correct
2	Correct	386 ms	51204 KB	Output is correct
3	Correct	343 ms	51064 KB	Output is correct
4	Correct	160 ms	34520 KB	Output is correct
5	Correct	121 ms	30824 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	450 ms	55312 KB	Output is correct
2	Correct	358 ms	50664 KB	Output is correct
3	Correct	254 ms	37536 KB	Output is correct
4	Correct	184 ms	40500 KB	Output is correct
5	Correct	140 ms	30596 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	665 ms	52632 KB	Output is correct
2	Correct	415 ms	57320 KB	Output is correct
3	Correct	282 ms	55828 KB	Output is correct
4	Correct	179 ms	43568 KB	Output is correct
5	Correct	164 ms	40264 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	545 ms	58404 KB	Output is correct
2	Correct	396 ms	55132 KB	Output is correct
3	Correct	240 ms	51536 KB	Output is correct
4	Correct	199 ms	45008 KB	Output is correct
5	Correct	145 ms	34928 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	768 ms	57204 KB	Output is correct
2	Correct	378 ms	63816 KB	Output is correct
3	Correct	515 ms	63560 KB	Output is correct
4	Correct	224 ms	50336 KB	Output is correct
5	Correct	194 ms	44712 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	695 ms	65376 KB	Output is correct
2	Correct	474 ms	61544 KB	Output is correct
3	Correct	360 ms	57140 KB	Output is correct
4	Correct	230 ms	50752 KB	Output is correct
5	Correct	195 ms	46808 KB	Output is correct

Submission #965435

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