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Submission #557508

# Submission time Handle Problem Language Result Execution time Memory
557508 2022-05-05T12:06:04 Z aryan12 Mobile (BOI12_mobile) C++17
50 / 100
 1000 ms 31756 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;
	while(right - left >= 0.0001)
	{
		// cout << "left = " << left << ", right = " << right << "\n";
		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

# Verdict Execution time Memory Grader output
1 Correct 27 ms 31568 KB Output is correct
2 Correct 28 ms 31532 KB Output is correct
3 Correct 28 ms 31628 KB Output is correct
4 Correct 28 ms 31564 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 31616 KB Output is correct
2 Correct 26 ms 31548 KB Output is correct
3 Correct 26 ms 31584 KB Output is correct
4 Correct 27 ms 31580 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 31636 KB Output is correct
2 Correct 31 ms 31592 KB Output is correct
3 Correct 31 ms 31536 KB Output is correct
4 Correct 28 ms 31564 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 31648 KB Output is correct
2 Correct 31 ms 31572 KB Output is correct
3 Correct 31 ms 31564 KB Output is correct
4 Correct 37 ms 31540 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 31636 KB Output is correct
2 Correct 34 ms 31720 KB Output is correct
3 Correct 30 ms 31540 KB Output is correct
4 Correct 34 ms 31616 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 31588 KB Output is correct
2 Correct 29 ms 31592 KB Output is correct
3 Correct 29 ms 31632 KB Output is correct
4 Correct 38 ms 31632 KB Output is correct
5 Correct 31 ms 31564 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 155 ms 31640 KB Output is correct
2 Correct 83 ms 31640 KB Output is correct
3 Correct 81 ms 31636 KB Output is correct
4 Correct 174 ms 31640 KB Output is correct
5 Correct 102 ms 31636 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 31644 KB Output is correct
2 Correct 142 ms 31636 KB Output is correct
3 Correct 171 ms 31552 KB Output is correct
4 Correct 192 ms 31588 KB Output is correct
5 Correct 202 ms 31756 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 31612 KB Output is correct
2 Correct 83 ms 31640 KB Output is correct
3 Correct 116 ms 31640 KB Output is correct
4 Correct 264 ms 31636 KB Output is correct
5 Correct 161 ms 31652 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 106 ms 31636 KB Output is correct
2 Correct 105 ms 31636 KB Output is correct
3 Correct 118 ms 31640 KB Output is correct
4 Correct 247 ms 31636 KB Output is correct
5 Correct 222 ms 31644 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 31632 KB Output is correct
2 Correct 95 ms 31656 KB Output is correct
3 Correct 123 ms 31636 KB Output is correct
4 Correct 284 ms 31640 KB Output is correct
5 Correct 232 ms 31640 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 357 ms 31640 KB Output is correct
2 Correct 433 ms 31640 KB Output is correct
3 Correct 398 ms 31632 KB Output is correct
4 Execution timed out 1096 ms 31628 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #13
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 414 ms 31640 KB Output is correct
2 Correct 850 ms 31640 KB Output is correct
3 Correct 487 ms 31632 KB Output is correct
4 Execution timed out 1096 ms 31624 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 403 ms 31636 KB Output is correct
2 Correct 504 ms 31608 KB Output is correct
3 Correct 488 ms 31640 KB Output is correct
4 Execution timed out 1083 ms 31564 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 519 ms 31696 KB Output is correct
2 Correct 934 ms 31640 KB Output is correct
3 Correct 649 ms 31640 KB Output is correct
4 Execution timed out 1088 ms 31564 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 481 ms 31736 KB Output is correct
2 Correct 547 ms 31636 KB Output is correct
3 Correct 562 ms 31636 KB Output is correct
4 Execution timed out 1091 ms 31528 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 556 ms 31640 KB Output is correct
2 Execution timed out 1093 ms 31604 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 564 ms 31640 KB Output is correct
2 Correct 595 ms 31632 KB Output is correct
3 Correct 632 ms 31640 KB Output is correct
4 Execution timed out 1072 ms 31564 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 608 ms 31640 KB Output is correct
2 Execution timed out 1091 ms 31572 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 723 ms 31636 KB Output is correct
2 Correct 771 ms 31692 KB Output is correct
3 Correct 783 ms 31572 KB Output is correct
4 Execution timed out 1079 ms 31560 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 767 ms 31640 KB Output is correct
2 Execution timed out 1051 ms 31564 KB Time limit exceeded
3 Halted 0 ms 0 KB -