Submission #1056881

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1056881	2024-08-13T12:06:02 Z	TimAni	Mobile (BOI12_mobile)	C++17	60 / 100	470 ms	8256 KB

mobile

#include <bits/stdc++.h>
#define long long long
 
using namespace std;
 
const double eps = 1E-3;
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() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int t;
	t = 1;
	for (int i = 0; i < t; i++) {
		solve();
	}
	return 0;
}

// time-limit: 3000

Subtask #1
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 #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	2396 KB	Output is correct
2	Correct	0 ms	2396 KB	Output is correct
3	Correct	0 ms	2392 KB	Output is correct
4	Correct	0 ms	2396 KB	Output is correct

Subtask #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	2392 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	2 ms	2512 KB	Output is correct
2	Correct	1 ms	2396 KB	Output is correct
3	Correct	1 ms	2536 KB	Output is correct
4	Correct	2 ms	2396 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	1 ms	2440 KB	Output is correct
3	Correct	2 ms	2392 KB	Output is correct
4	Correct	2 ms	2392 KB	Output is correct

Subtask #6
5.0 / 5.0

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

Subtask #7
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	17 ms	4700 KB	Output is correct
2	Correct	18 ms	4748 KB	Output is correct
3	Incorrect	10 ms	4696 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

Subtask #8
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	17 ms	4700 KB	Output is correct
2	Correct	25 ms	4696 KB	Output is correct
3	Correct	29 ms	4700 KB	Output is correct
4	Incorrect	31 ms	4696 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #9
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	21 ms	4700 KB	Output is correct
2	Correct	22 ms	4748 KB	Output is correct
3	Incorrect	17 ms	4700 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

Subtask #10
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	20 ms	6748 KB	Output is correct
2	Correct	20 ms	6792 KB	Output is correct
3	Incorrect	17 ms	6796 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	20 ms	6808 KB	Output is correct
2	Correct	20 ms	6748 KB	Output is correct
3	Correct	21 ms	7008 KB	Output is correct
4	Correct	48 ms	6744 KB	Output is correct
5	Correct	37 ms	6780 KB	Output is correct

Subtask #12
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	91 ms	6748 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #13
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	99 ms	6744 KB	Output is correct
2	Correct	137 ms	6744 KB	Output is correct
3	Correct	84 ms	6744 KB	Output is correct
4	Correct	220 ms	6744 KB	Output is correct
5	Incorrect	194 ms	6992 KB	Output isn't correct
6	Halted	0 ms	0 KB	-

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	122 ms	6744 KB	Output is correct
2	Correct	131 ms	6744 KB	Output is correct
3	Correct	117 ms	6772 KB	Output is correct
4	Correct	269 ms	6744 KB	Output is correct
5	Correct	219 ms	6744 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	123 ms	6776 KB	Output is correct
2	Correct	146 ms	6744 KB	Output is correct
3	Correct	101 ms	6748 KB	Output is correct
4	Correct	274 ms	6748 KB	Output is correct
5	Correct	228 ms	6748 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	144 ms	7044 KB	Output is correct
2	Correct	139 ms	7000 KB	Output is correct
3	Correct	142 ms	6992 KB	Output is correct
4	Correct	322 ms	7048 KB	Output is correct
5	Correct	245 ms	6992 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	138 ms	6996 KB	Output is correct
2	Correct	160 ms	6992 KB	Output is correct
3	Correct	117 ms	6996 KB	Output is correct
4	Correct	311 ms	6996 KB	Output is correct
5	Correct	271 ms	6948 KB	Output is correct

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	154 ms	7252 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #19
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	158 ms	7468 KB	Output is correct
2	Correct	181 ms	7248 KB	Output is correct
3	Correct	134 ms	7292 KB	Output is correct
4	Correct	358 ms	7288 KB	Output is correct
5	Incorrect	306 ms	7284 KB	Output isn't correct
6	Halted	0 ms	0 KB	-

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	175 ms	8016 KB	Output is correct
2	Correct	194 ms	8072 KB	Output is correct
3	Correct	190 ms	8056 KB	Output is correct
4	Correct	470 ms	8056 KB	Output is correct
5	Correct	377 ms	8256 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	201 ms	8060 KB	Output is correct
2	Correct	219 ms	8016 KB	Output is correct
3	Correct	174 ms	8016 KB	Output is correct
4	Correct	453 ms	8020 KB	Output is correct
5	Correct	388 ms	8020 KB	Output is correct

Submission #1056881

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