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답안 #557506

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
557506 2022-05-05T12:02:58 Z aryan12 Mobile (BOI12_mobile) C++17
50 / 100
 1000 ms 45004 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long

mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());


const int N = 1e6 + 5;
vector<pair<long double, long double> > coordinates(N);
int n, l;


bool Check(long double value)
{

	// sqrt[(c[i].x - x) ^ 2 + (c[i].y - 0) ^ 2] = value
	// (c[i].x - x) ^ 2 + c[i].y ^ 2 = value * value
	// c[i].x - x = sqrt[(value * value) - c[i].y ^ 2]
	// - x = sqrt[(value * value) - c[i].y ^ 2] - c[i].x
	// x = c[i].x - sqrt[(value * value) - c[i].y ^ 2]

	long double maxLeft = 0;
	for(int i = 1; i <= n; i++)
	{
		long double cur_left = 0.0, cur_right = 0.0;
		cur_left = coordinates[i].first - sqrt((value * value) - (coordinates[i].second * coordinates[i].second));
		cur_right = coordinates[i].first + sqrt((value * value) - (coordinates[i].second * coordinates[i].second));
		if(cur_left <= maxLeft)
		{
			maxLeft = max(maxLeft, cur_right);
		}
	}
	return (maxLeft >= l);
}


void Solve() 
{
	cin >> n >> l;
	for(int i = 1; i <= n; i++)
	{
		cin >> coordinates[i].first >> coordinates[i].second;
	}
	long double left = 0, right = 1e9;
	long double ans = right + 1;
	int cnt = 0;
	while(cnt < 40)
	{
		// cout << "left = " << left << ", right = " << right << "\n";
		cnt++;
		long double mid = (left + right) / 2;
		if(Check(mid))
		{
			right = mid;
			ans = mid;
		}
		else
		{
			left = mid;
		}
	}
	cout << fixed << setprecision(8) << ans << "\n";
}

int32_t main() 
{
	auto begin = std::chrono::high_resolution_clock::now();
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	int t = 1;
	// cin >> t;
	for(int i = 1; i <= t; i++) 
	{
		//cout << "Case #" << i << ": ";
		Solve();
	}
	auto end = std::chrono::high_resolution_clock::now();
    auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
    cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n"; 
	return 0;
}

Subtask #1
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 26 ms 31552 KB Output is correct
2 Correct 27 ms 31640 KB Output is correct
3 Correct 27 ms 31540 KB Output is correct
4 Correct 27 ms 31556 KB Output is correct

Subtask #2
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 28 ms 31520 KB Output is correct
2 Correct 26 ms 31564 KB Output is correct
3 Correct 28 ms 31584 KB Output is correct
4 Correct 27 ms 31576 KB Output is correct

Subtask #3
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 32 ms 31640 KB Output is correct
2 Correct 31 ms 31592 KB Output is correct
3 Correct 29 ms 31640 KB Output is correct
4 Correct 28 ms 31700 KB Output is correct

Subtask #4
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 32 ms 31628 KB Output is correct
2 Correct 30 ms 31708 KB Output is correct
3 Correct 30 ms 31672 KB Output is correct
4 Correct 35 ms 31668 KB Output is correct

Subtask #5
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 31 ms 31564 KB Output is correct
2 Correct 30 ms 31608 KB Output is correct
3 Correct 30 ms 31668 KB Output is correct
4 Correct 35 ms 31636 KB Output is correct

Subtask #6
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 33 ms 31704 KB Output is correct
2 Correct 30 ms 31700 KB Output is correct
3 Correct 31 ms 31680 KB Output is correct
4 Correct 35 ms 31664 KB Output is correct
5 Correct 34 ms 31648 KB Output is correct

Subtask #7
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 122 ms 31896 KB Output is correct
2 Correct 82 ms 31832 KB Output is correct
3 Correct 82 ms 31856 KB Output is correct
4 Correct 178 ms 31896 KB Output is correct
5 Correct 86 ms 31908 KB Output is correct

Subtask #8
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 128 ms 31896 KB Output is correct
2 Correct 131 ms 31880 KB Output is correct
3 Correct 153 ms 31896 KB Output is correct
4 Correct 166 ms 31896 KB Output is correct
5 Correct 186 ms 31784 KB Output is correct

Subtask #9
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 81 ms 31856 KB Output is correct
2 Correct 83 ms 31920 KB Output is correct
3 Correct 105 ms 31896 KB Output is correct
4 Correct 229 ms 31900 KB Output is correct
5 Correct 145 ms 31856 KB Output is correct

Subtask #10
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 95 ms 31800 KB Output is correct
2 Correct 96 ms 31780 KB Output is correct
3 Correct 121 ms 31948 KB Output is correct
4 Correct 230 ms 31852 KB Output is correct
5 Correct 183 ms 31892 KB Output is correct

Subtask #11
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 99 ms 31988 KB Output is correct
2 Correct 94 ms 31948 KB Output is correct
3 Correct 113 ms 31900 KB Output is correct
4 Correct 237 ms 32004 KB Output is correct
5 Correct 187 ms 31948 KB Output is correct

Subtask #12
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 322 ms 31896 KB Output is correct
2 Correct 382 ms 31900 KB Output is correct
3 Correct 368 ms 31876 KB Output is correct
4 Execution timed out 1035 ms 31892 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #13
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 380 ms 31900 KB Output is correct
2 Correct 681 ms 31896 KB Output is correct
3 Correct 460 ms 37412 KB Output is correct
4 Execution timed out 1018 ms 40980 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #14
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 400 ms 31892 KB Output is correct
2 Correct 442 ms 31896 KB Output is correct
3 Correct 437 ms 31896 KB Output is correct
4 Execution timed out 1091 ms 31876 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 476 ms 31912 KB Output is correct
2 Correct 816 ms 31896 KB Output is correct
3 Correct 546 ms 38416 KB Output is correct
4 Execution timed out 1028 ms 43304 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 460 ms 31888 KB Output is correct
2 Correct 504 ms 31892 KB Output is correct
3 Correct 503 ms 31820 KB Output is correct
4 Execution timed out 1080 ms 31948 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 525 ms 31892 KB Output is correct
2 Correct 972 ms 31948 KB Output is correct
3 Correct 646 ms 40160 KB Output is correct
4 Execution timed out 1082 ms 45004 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 512 ms 32012 KB Output is correct
2 Correct 584 ms 31892 KB Output is correct
3 Correct 585 ms 31852 KB Output is correct
4 Execution timed out 1088 ms 31820 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 573 ms 31896 KB Output is correct
2 Execution timed out 1078 ms 31888 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 633 ms 31964 KB Output is correct
2 Correct 716 ms 31892 KB Output is correct
3 Correct 740 ms 31892 KB Output is correct
4 Execution timed out 1043 ms 31976 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 746 ms 31724 KB Output is correct
2 Execution timed out 1088 ms 31760 KB Time limit exceeded
3 Halted 0 ms 0 KB -