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Submission #477078

# Submission time Handle Problem Language Result Execution time Memory
477078 2021-09-30T06:12:06 Z qwerty1234 Mobile (BOI12_mobile) C++17
70 / 100
 1000 ms 16076 KB 
#include <bits/stdc++.h>

#define ll long long

using namespace std;

bool check(double maxDist, vector<pair<double, double>> &transceivers, ll N, ll L) {
	double covered = 0;
	for (int i = 0; i < N; i++) {
		double ySquared = transceivers[i].second * transceivers[i].second;
		double hypoSquared = maxDist * maxDist;
		if (hypoSquared - ySquared < 0) {
			continue;
		}
		double x = sqrt(hypoSquared - ySquared);
		if (transceivers[i].first - x <= covered) {
			covered = max(covered, transceivers[i].first + x);
		}
	}
	return covered >= L;
}

int main() {
	ll N, L;
	cin >> N >> L;
	vector<pair<double, double>> transceivers(N);
	for (int i = 0; i < N; i++) cin >> transceivers[i].first >> transceivers[i].second;
	double l = 0;
	double r = 1e9;
	double ans = 0;
	while (r - l >= 0.001) {
		double mid = l + (r - l) / 2;
		// cout << l << ' ' << r << ' ' << mid << '\n';
		if (check(mid, transceivers, N, L)) {
			r = mid;
			ans = mid;
		} else {
			l = mid;
		}
	}
	printf("%0.4lf\n", ans);
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 4 ms 204 KB Output is correct
3 Correct 3 ms 204 KB Output is correct
4 Correct 4 ms 204 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 332 KB Output is correct
2 Correct 7 ms 332 KB Output is correct
3 Correct 5 ms 332 KB Output is correct
4 Correct 7 ms 364 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 332 KB Output is correct
2 Correct 7 ms 364 KB Output is correct
3 Correct 5 ms 332 KB Output is correct
4 Correct 7 ms 332 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 332 KB Output is correct
2 Correct 7 ms 332 KB Output is correct
3 Correct 5 ms 332 KB Output is correct
4 Correct 7 ms 368 KB Output is correct
5 Correct 6 ms 332 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 1356 KB Output is correct
2 Correct 115 ms 1488 KB Output is correct
3 Correct 71 ms 1100 KB Output is correct
4 Correct 101 ms 1356 KB Output is correct
5 Correct 43 ms 972 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 78 ms 1508 KB Output is correct
2 Correct 85 ms 1396 KB Output is correct
3 Correct 96 ms 1484 KB Output is correct
4 Correct 105 ms 1484 KB Output is correct
5 Correct 124 ms 1636 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 90 ms 1612 KB Output is correct
2 Correct 124 ms 1572 KB Output is correct
3 Correct 95 ms 1612 KB Output is correct
4 Correct 150 ms 1840 KB Output is correct
5 Correct 95 ms 1612 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 132 ms 1740 KB Output is correct
2 Correct 125 ms 1740 KB Output is correct
3 Correct 106 ms 1740 KB Output is correct
4 Correct 150 ms 1848 KB Output is correct
5 Correct 116 ms 1844 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 132 ms 1848 KB Output is correct
2 Correct 129 ms 1848 KB Output is correct
3 Correct 107 ms 1740 KB Output is correct
4 Correct 159 ms 1740 KB Output is correct
5 Correct 120 ms 1740 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 510 ms 8112 KB Output is correct
2 Correct 647 ms 8128 KB Output is correct
3 Correct 657 ms 8116 KB Output is correct
4 Correct 732 ms 8132 KB Output is correct
5 Correct 612 ms 8108 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 661 ms 8132 KB Output is correct
2 Correct 667 ms 8132 KB Output is correct
3 Correct 547 ms 8116 KB Output is correct
4 Correct 714 ms 8124 KB Output is correct
5 Correct 624 ms 8112 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 610 ms 9676 KB Output is correct
2 Correct 783 ms 9796 KB Output is correct
3 Correct 753 ms 9684 KB Output is correct
4 Correct 892 ms 9692 KB Output is correct
5 Correct 728 ms 9796 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 825 ms 9676 KB Output is correct
2 Correct 774 ms 9676 KB Output is correct
3 Correct 670 ms 9796 KB Output is correct
4 Correct 901 ms 9676 KB Output is correct
5 Correct 741 ms 9796 KB Output is correct

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 708 ms 11212 KB Output is correct
2 Correct 950 ms 11248 KB Output is correct
3 Correct 887 ms 11244 KB Output is correct
4 Execution timed out 1041 ms 11236 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 945 ms 11236 KB Output is correct
2 Correct 898 ms 11240 KB Output is correct
3 Correct 792 ms 11244 KB Output is correct
4 Execution timed out 1010 ms 11332 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 785 ms 12816 KB Output is correct
2 Execution timed out 1039 ms 12808 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1088 ms 12804 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1006 ms 15948 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1093 ms 16076 KB Time limit exceeded
2 Halted 0 ms 0 KB -