Submission #1031419

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1031419	2024-07-22T20:20:04 Z	vjudge1	Mobile (BOI12_mobile)	C++17	60 / 100	1000 ms	35152 KB

mobile

#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using ld = long double;

#define int ll
#define vi vector<int>
#define ii pair<int,int>
#define x first
#define y second
#define fore(a, b, c) for(int a=b; a<c; ++a)
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define endl '\n'
#define dbg(x) cerr << #x << ": " << x << endl
#define raya cerr << "================" << endl;

ld eps = 1e-4;

signed main(){

    int n, len;
    cin >> n >> len;

    vector<ii> p(n);
    fore(i, 0, n){
        cin >> p[i].x >> p[i].y;
    }

    ld low = 0, high = 1e9+5;
    ld ans = high;

    while(low <= high){
        ld mid = low + (high - low) / 2;
        
        ld mx = 0;

        fore(i, 0, n){
            ld delta = (2*p[i].x)*(2*p[i].x)-4*(p[i].x*p[i].x+p[i].y*p[i].y-mid*mid);
            ld a = (2*p[i].x - sqrtl(delta)) / 2;
            ld b = (2*p[i].x + sqrtl(delta)) / 2;
            
            if(a <= mx){
                mx = max(mx, b);
            }
        }

        if(mx >= len){
            ans = mid;
            high = mid-eps;
        } else {
            low = mid+eps;
        }

    }

    cout << fixed << setprecision(6) << ans;

}

Subtask #1
4.0 / 4.0

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

Subtask #3
4.0 / 4.0

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

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	348 KB	Output is correct
2	Correct	3 ms	348 KB	Output is correct
3	Correct	5 ms	344 KB	Output is correct
4	Correct	7 ms	348 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	560 KB	Output is correct
2	Correct	3 ms	348 KB	Output is correct
3	Correct	4 ms	348 KB	Output is correct
4	Correct	9 ms	588 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	348 KB	Output is correct
2	Correct	3 ms	576 KB	Output is correct
3	Correct	4 ms	348 KB	Output is correct
4	Correct	8 ms	348 KB	Output is correct
5	Correct	6 ms	348 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	90 ms	2396 KB	Output is correct
2	Correct	50 ms	2636 KB	Output is correct
3	Correct	40 ms	1876 KB	Output is correct
4	Correct	126 ms	2752 KB	Output is correct
5	Correct	64 ms	1612 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	100 ms	2392 KB	Output is correct
2	Correct	91 ms	2136 KB	Output is correct
3	Correct	117 ms	2720 KB	Output is correct
4	Correct	127 ms	2940 KB	Output is correct
5	Correct	155 ms	3156 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	43 ms	2396 KB	Output is correct
2	Correct	53 ms	2644 KB	Output is correct
3	Correct	66 ms	2512 KB	Output is correct
4	Correct	186 ms	3668 KB	Output is correct
5	Correct	135 ms	2644 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	65 ms	3408 KB	Output is correct
2	Correct	64 ms	3268 KB	Output is correct
3	Correct	74 ms	2908 KB	Output is correct
4	Correct	190 ms	3924 KB	Output is correct
5	Correct	139 ms	3244 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	68 ms	3416 KB	Output is correct
2	Correct	62 ms	3152 KB	Output is correct
3	Correct	102 ms	2908 KB	Output is correct
4	Correct	190 ms	3900 KB	Output is correct
5	Correct	173 ms	3256 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	272 ms	12476 KB	Output is correct
2	Correct	325 ms	15912 KB	Output is correct
3	Correct	336 ms	15416 KB	Output is correct
4	Correct	934 ms	17824 KB	Output is correct
5	Correct	767 ms	15284 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	313 ms	16444 KB	Output is correct
2	Correct	696 ms	14672 KB	Output is correct
3	Correct	417 ms	14024 KB	Output is correct
4	Correct	999 ms	17604 KB	Output is correct
5	Correct	782 ms	15560 KB	Output is correct

Subtask #14
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	311 ms	14928 KB	Output is correct
2	Correct	402 ms	19020 KB	Output is correct
3	Correct	401 ms	18512 KB	Output is correct
4	Execution timed out	1086 ms	21584 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #15
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	391 ms	19536 KB	Output is correct
2	Correct	837 ms	17752 KB	Output is correct
3	Correct	485 ms	16460 KB	Output is correct
4	Execution timed out	1035 ms	21324 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #16
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	426 ms	17232 KB	Output is correct
2	Correct	457 ms	22264 KB	Output is correct
3	Correct	406 ms	21520 KB	Output is correct
4	Execution timed out	1032 ms	24916 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #17
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	531 ms	22884 KB	Output is correct
2	Correct	933 ms	20560 KB	Output is correct
3	Correct	584 ms	19696 KB	Output is correct
4	Execution timed out	1006 ms	24660 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	419 ms	19844 KB	Output is correct
2	Correct	534 ms	25224 KB	Output is correct
3	Correct	505 ms	24400 KB	Output is correct
4	Execution timed out	1066 ms	28500 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #19
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	561 ms	26196 KB	Output is correct
2	Execution timed out	1084 ms	23300 KB	Time limit exceeded
3	Halted	0 ms	0 KB	-

Subtask #20
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	545 ms	24640 KB	Output is correct
2	Correct	724 ms	31568 KB	Output is correct
3	Correct	608 ms	30652 KB	Output is correct
4	Execution timed out	1060 ms	35152 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #21
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	609 ms	32336 KB	Output is correct
2	Execution timed out	1049 ms	29264 KB	Time limit exceeded
3	Halted	0 ms	0 KB	-

Submission #1031419

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