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Submission #906205

# Submission time Handle Problem Language Result Execution time Memory
906205 2024-01-13T15:46:04 Z Nonoze Mobile (BOI12_mobile) C++17
100 / 100
 291 ms 18876 KB 
#include <bits/stdc++.h>
#define sz(x) (int)(x.size())

using namespace std;

int n, L;
vector<pair<double, double>> a;

void solve() {
	cin >> n >> L;
	a.clear();
	for (int i=0; i<n; i++) {
		int x, y; cin >> x >> y;
		if (!a.empty() && x==a.back().first) {
			if (abs(y)<abs(a.back().second)) a.back().second=y;
		}
		else a.push_back({x, y});
	}
	n=sz(a);
	double l=0, r=1e9;
	while (r-l>0.0009) {
		double mid=(l+r)/2;
		double borne=0;
		double popo=pow(mid, 2);
		for (int i=0; i<n; i++) {
			if (abs(a[i].second)>mid) continue;
			double x=a[i].first, y=a[i].second;
			double dist=sqrt(popo-pow(y, 2));
			if (x-dist<=borne && x+dist>borne) borne=x+dist;
		}
		if (borne>=L) r=mid;
		else l=mid;
	}
	cout << fixed << setprecision(3) << l << endl;
	return;
}


signed main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	solve();
	return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 388 KB Output is correct
4 Correct 1 ms 348 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 348 KB Output is correct
2 Correct 2 ms 604 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 2 ms 604 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 2 ms 604 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 2 ms 604 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 2 ms 604 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 2 ms 600 KB Output is correct
5 Correct 1 ms 456 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 2520 KB Output is correct
2 Correct 18 ms 1500 KB Output is correct
3 Correct 13 ms 1500 KB Output is correct
4 Correct 18 ms 2516 KB Output is correct
5 Correct 5 ms 348 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 604 KB Output is correct
2 Correct 13 ms 1500 KB Output is correct
3 Correct 17 ms 2620 KB Output is correct
4 Correct 20 ms 2516 KB Output is correct
5 Correct 20 ms 2516 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 2520 KB Output is correct
2 Correct 21 ms 1500 KB Output is correct
3 Correct 19 ms 2520 KB Output is correct
4 Correct 24 ms 2608 KB Output is correct
5 Correct 13 ms 992 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 1500 KB Output is correct
2 Correct 19 ms 1496 KB Output is correct
3 Correct 13 ms 860 KB Output is correct
4 Correct 31 ms 2520 KB Output is correct
5 Correct 29 ms 2416 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 2516 KB Output is correct
2 Correct 22 ms 1640 KB Output is correct
3 Correct 14 ms 832 KB Output is correct
4 Correct 24 ms 2520 KB Output is correct
5 Correct 22 ms 2520 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 10692 KB Output is correct
2 Correct 67 ms 804 KB Output is correct
3 Correct 62 ms 668 KB Output is correct
4 Correct 124 ms 9156 KB Output is correct
5 Correct 96 ms 9860 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 820 KB Output is correct
2 Correct 163 ms 8904 KB Output is correct
3 Correct 68 ms 2512 KB Output is correct
4 Correct 113 ms 9964 KB Output is correct
5 Correct 112 ms 9912 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 159 ms 17852 KB Output is correct
2 Correct 79 ms 596 KB Output is correct
3 Correct 74 ms 592 KB Output is correct
4 Correct 146 ms 17032 KB Output is correct
5 Correct 109 ms 8920 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 93 ms 636 KB Output is correct
2 Correct 194 ms 18104 KB Output is correct
3 Correct 77 ms 2508 KB Output is correct
4 Correct 137 ms 17796 KB Output is correct
5 Correct 134 ms 18424 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 190 ms 18764 KB Output is correct
2 Correct 109 ms 492 KB Output is correct
3 Correct 107 ms 544 KB Output is correct
4 Correct 160 ms 18608 KB Output is correct
5 Correct 117 ms 9492 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 93 ms 652 KB Output is correct
2 Correct 217 ms 17300 KB Output is correct
3 Correct 109 ms 2800 KB Output is correct
4 Correct 159 ms 17968 KB Output is correct
5 Correct 164 ms 17028 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 187 ms 16824 KB Output is correct
2 Correct 100 ms 492 KB Output is correct
3 Correct 98 ms 628 KB Output is correct
4 Correct 198 ms 18352 KB Output is correct
5 Correct 152 ms 10924 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 106 ms 596 KB Output is correct
2 Correct 242 ms 17332 KB Output is correct
3 Correct 109 ms 2660 KB Output is correct
4 Correct 181 ms 18616 KB Output is correct
5 Correct 171 ms 17748 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 236 ms 17336 KB Output is correct
2 Correct 130 ms 464 KB Output is correct
3 Correct 122 ms 624 KB Output is correct
4 Correct 242 ms 18876 KB Output is correct
5 Correct 177 ms 10176 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 131 ms 592 KB Output is correct
2 Correct 291 ms 17848 KB Output is correct
3 Correct 130 ms 6364 KB Output is correct
4 Correct 229 ms 18104 KB Output is correct
5 Correct 202 ms 17280 KB Output is correct