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Submission #88188

# Submission time Handle Problem Language Result Execution time Memory
88188 2018-12-04T10:11:54 Z JustInCase Mobile (BOI12_mobile) C++17
35 / 100
 1000 ms 71228 KB 
#include <bits/stdc++.h>

const int32_t MAX_N = 1e6;
const double EPS = 1e-6;

int32_t n, l;
std::pair< int32_t, int32_t > points[MAX_N + 5];

bool Check(long double r) {
	std::vector< std::pair< long double, bool > > events(2 * n);

	for(int32_t i = 0; i < n; i++) {
		if(r * r < (int64_t) points[i].second * points[i].second) {
			events[2 * i] = { -2.0, 0 };
			events[2 * i + 1] = { -1.0, 1 };
			continue;
		}

		long double x1 = points[i].first - sqrt(r * r - (int64_t) points[i].second * points[i].second);
		long double x2 = points[i].first + sqrt(r * r - (int64_t) points[i].second * points[i].second);

		events[2 * i] = { x1, 0 };
		events[2 * i + 1] = { x2, 1 };
	}

	std::sort(events.begin(), events.end());

	int32_t currCnt = 0;
	for(int32_t i = 0; i < 2 * n; i++) {
		if(events[i].first > 0 && currCnt == 0) {
			return false;
		}

		if(events[i].first > l) {
			break;
		}

		if(events[i].second == 0) {
			currCnt++;
		}
		else {
			currCnt--;
		}

		if(!(events[i].first < 0.0) && currCnt == 0) {
			return false;
		}
	}

	if(events.back().first < 0) {
		return false;
	}

	return true;
}

int main() {
	std::ios_base::sync_with_stdio(false);
	std::cin.tie(nullptr);

	std::cin >> n >> l;

	for(int32_t i = 0; i < n; i++) {
		std::cin >> points[i].first >> points[i].second;
	}

	int64_t low = 1, high = 1e13;
	long double ans;
	while(low <= high) {
		int64_t mid = (low + high) / 2;

		if(Check(mid / 1000.0)) {
			ans = mid / 1000.0;
			high = mid - 1;
		}
		else {
			low = mid + 1;
		}
	}

	std::cout << std::fixed << std::setprecision(7);
	std::cout << ans << '\n';
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 500 KB Output is correct
3 Correct 2 ms 500 KB Output is correct
4 Correct 2 ms 500 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 504 KB Output is correct
2 Correct 3 ms 532 KB Output is correct
3 Correct 3 ms 548 KB Output is correct
4 Correct 3 ms 548 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 748 KB Output is correct
2 Correct 21 ms 756 KB Output is correct
3 Correct 19 ms 756 KB Output is correct
4 Correct 19 ms 872 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 904 KB Output is correct
2 Correct 48 ms 956 KB Output is correct
3 Correct 45 ms 1032 KB Output is correct
4 Correct 44 ms 1032 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 1032 KB Output is correct
2 Correct 44 ms 1032 KB Output is correct
3 Correct 46 ms 1032 KB Output is correct
4 Correct 44 ms 1032 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 1032 KB Output is correct
2 Correct 44 ms 1056 KB Output is correct
3 Correct 45 ms 1056 KB Output is correct
4 Correct 45 ms 1072 KB Output is correct
5 Correct 45 ms 1072 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 769 ms 5904 KB Output is correct
2 Correct 900 ms 6124 KB Output is correct
3 Correct 516 ms 6124 KB Output is correct
4 Correct 806 ms 6124 KB Output is correct
5 Correct 514 ms 6124 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 828 ms 6232 KB Output is correct
2 Correct 751 ms 6232 KB Output is correct
3 Correct 865 ms 6288 KB Output is correct
4 Correct 827 ms 6288 KB Output is correct
5 Correct 924 ms 6720 KB Output is correct

Subtask #9
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1036 ms 6780 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1043 ms 7712 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #11
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 872 ms 7712 KB Output is correct
2 Execution timed out 1074 ms 7712 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1057 ms 35872 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #13
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1039 ms 35872 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1046 ms 43004 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1071 ms 43004 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1052 ms 50116 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1065 ms 50116 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1059 ms 57084 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1072 ms 57084 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 1040 ms 71088 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 1056 ms 71228 KB Time limit exceeded
2 Halted 0 ms 0 KB -