Submission #1056885

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1056885	2024-08-13T12:07:30 Z	TimAni	Mobile (BOI12_mobile)	C++17	100 / 100	487 ms	8024 KB

mobile

#include <bits/stdc++.h>
#define long long long
 
using namespace std;
 
const double eps = 1E-4;
const int N = (int) 1E6;
 
int n, k;
int x[N], y[N];
 
bool valid(double a) {
	double t = 0;
	for (int i = 0; i < n; i++) {
		if (a < y[i]) {
			continue;
		} 
		double l = x[i] - sqrt(1.0 * a * a - 1.0 * y[i] * y[i]);
		double r = x[i] + sqrt(1.0 * a * a - 1.0 * y[i] * y[i]);
		if (l <= t && r >= t) {
			t = r;
		}
	}
	return t >= k;
}
 
void solve() {
	cin >> n >> k;
	for (int i = 0; i < n; i++) {
		cin >> x[i] >> y[i];
	}
	
    double l = 0, r = 4E9;
    while(r - l > eps) {
        double R = (r + l) / 2;
        if(valid(R)) {
            r = R;
        }
        else {
            l = R;
        }
        
    }
    cout << fixed << setprecision(-log10(eps)) << r << endl;
}
 
int main() {
    cin.tie(0)->sync_with_stdio(0);
    double T = 1;
    //cin >> T;
    while(T--) solve();
    return 0;
}

Subtask #1
4.0 / 4.0

#	Verdict	Memory	Grader output
1	Correct	2392 KB	Output is correct
2	Correct	2396 KB	Output is correct
3	Correct	2396 KB	Output is correct
4	Correct	2396 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Memory	Grader output
1	Correct	2396 KB	Output is correct
2	Correct	2396 KB	Output is correct
3	Correct	2396 KB	Output is correct
4	Correct	2396 KB	Output is correct

Subtask #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	2396 KB	Output is correct
2	Correct	1 ms	2396 KB	Output is correct
3	Correct	1 ms	2396 KB	Output is correct
4	Correct	1 ms	2396 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	2396 KB	Output is correct
2	Correct	2 ms	2396 KB	Output is correct
3	Correct	1 ms	2396 KB	Output is correct
4	Correct	2 ms	2392 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	2396 KB	Output is correct
2	Correct	2 ms	2600 KB	Output is correct
3	Correct	1 ms	2484 KB	Output is correct
4	Correct	2 ms	2396 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	2396 KB	Output is correct
2	Correct	1 ms	2396 KB	Output is correct
3	Correct	1 ms	2396 KB	Output is correct
4	Correct	2 ms	2536 KB	Output is correct
5	Correct	2 ms	2396 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	20 ms	4700 KB	Output is correct
2	Correct	16 ms	4696 KB	Output is correct
3	Correct	10 ms	4748 KB	Output is correct
4	Correct	32 ms	4700 KB	Output is correct
5	Correct	10 ms	4696 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	18 ms	4700 KB	Output is correct
2	Correct	27 ms	4700 KB	Output is correct
3	Correct	32 ms	4696 KB	Output is correct
4	Correct	34 ms	4700 KB	Output is correct
5	Correct	39 ms	4696 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	16 ms	4700 KB	Output is correct
2	Correct	17 ms	4748 KB	Output is correct
3	Correct	19 ms	4700 KB	Output is correct
4	Correct	52 ms	6796 KB	Output is correct
5	Correct	28 ms	4696 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	24 ms	6748 KB	Output is correct
2	Correct	21 ms	6792 KB	Output is correct
3	Correct	19 ms	6744 KB	Output is correct
4	Correct	48 ms	6748 KB	Output is correct
5	Correct	43 ms	6748 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	22 ms	6744 KB	Output is correct
2	Correct	22 ms	6796 KB	Output is correct
3	Correct	18 ms	6744 KB	Output is correct
4	Correct	48 ms	6748 KB	Output is correct
5	Correct	39 ms	6748 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	94 ms	6748 KB	Output is correct
2	Correct	102 ms	6748 KB	Output is correct
3	Correct	122 ms	6772 KB	Output is correct
4	Correct	246 ms	6780 KB	Output is correct
5	Correct	212 ms	6776 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	105 ms	6748 KB	Output is correct
2	Correct	152 ms	6776 KB	Output is correct
3	Correct	89 ms	6744 KB	Output is correct
4	Correct	256 ms	6992 KB	Output is correct
5	Correct	212 ms	6744 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	114 ms	6772 KB	Output is correct
2	Correct	123 ms	6748 KB	Output is correct
3	Correct	139 ms	6676 KB	Output is correct
4	Correct	292 ms	6744 KB	Output is correct
5	Correct	237 ms	6748 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	125 ms	6744 KB	Output is correct
2	Correct	157 ms	6748 KB	Output is correct
3	Correct	110 ms	6748 KB	Output is correct
4	Correct	293 ms	6776 KB	Output is correct
5	Correct	250 ms	6748 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	128 ms	7044 KB	Output is correct
2	Correct	164 ms	6992 KB	Output is correct
3	Correct	140 ms	6996 KB	Output is correct
4	Correct	340 ms	7088 KB	Output is correct
5	Correct	266 ms	6992 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	148 ms	6996 KB	Output is correct
2	Correct	173 ms	6996 KB	Output is correct
3	Correct	123 ms	6996 KB	Output is correct
4	Correct	334 ms	7032 KB	Output is correct
5	Correct	297 ms	7032 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	165 ms	7256 KB	Output is correct
2	Correct	165 ms	7248 KB	Output is correct
3	Correct	165 ms	7308 KB	Output is correct
4	Correct	401 ms	7248 KB	Output is correct
5	Correct	327 ms	7308 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	174 ms	7484 KB	Output is correct
2	Correct	197 ms	7296 KB	Output is correct
3	Correct	150 ms	7304 KB	Output is correct
4	Correct	417 ms	7300 KB	Output is correct
5	Correct	350 ms	7308 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	207 ms	8020 KB	Output is correct
2	Correct	204 ms	8020 KB	Output is correct
3	Correct	208 ms	8020 KB	Output is correct
4	Correct	484 ms	8020 KB	Output is correct
5	Correct	391 ms	8020 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	223 ms	8020 KB	Output is correct
2	Correct	237 ms	8024 KB	Output is correct
3	Correct	176 ms	8016 KB	Output is correct
4	Correct	487 ms	8016 KB	Output is correct
5	Correct	449 ms	8016 KB	Output is correct

Submission #1056885

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