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Submission #906151

# Submission time Handle Problem Language Result Execution time Memory
906151 2024-01-13T14:52:48 Z belgianbot Mobile (BOI12_mobile) C++14
100 / 100
 347 ms 10680 KB 
#include <bits/stdc++.h>
#define pow(x, y) (double)(pow(x, y))
using namespace std;

struct coord{
	int x, y;
};

vector <coord> a;
int N, L;
/*double dis(int ax, ay, double ans) {
	return (double)(sqrt(pow(ay, 2) + pow(ax - ans, 2)));
}
double distance(int i, int j) {
	long long num = pow(a[i].y, 2) - pow(a[j].y, 2) - pow(a[j].x, 2) + pow(a[i].x, 2);
	long long den = 2 * (-a[j].x + a[i].x);
	
	if (den == 0) return sqrt(num);
	double frac = (double)(num) / (double)(den);
	
	return frac;
}*/
bool solve(double mid) {
	double right(0);
	for (int i(0); i < a.size(); i++) {
		if (abs(a[i].y) > mid) continue;
		double iLeft = (double)(a[i].x) - (double)(sqrt(pow(mid, 2) - pow(a[i].y, 2)));
		double iRight = a[i].x + (a[i].x - iLeft);
		if (iLeft <= right) right = max(right,iRight);
	}
	return (right >= L);
}
int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cin >> N >> L;
	
	a.clear();
	int x, y; cin >> x >> y;
	a.push_back({x, y});
	for (int i(0); i < N - 1; i++) {
		int ax, ay;
		cin >> ax >> ay;
		if (ax == a[(int)(a.size() - 1)].x){
			if (abs(ay) < abs(a[(int)(a.size() - 1)].y)) {
				a[(int)(a.size() - 1)].y = ay;
			}
			else continue;
		}
		a.push_back({ax, ay});
	}
	double l(0), r(1e9);
	while (r - l > 0.0003) {
		double mid = l + (r - l) / 2;
		
		if (solve(mid)){
			 r = mid;
		 }
		else l = mid;
	}
	cout <<  setprecision(3) << fixed << l << '\n';
	return 0;
}

Compilation message

mobile.cpp: In function 'bool solve(double)':
mobile.cpp:25:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<coord>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   25 |  for (int i(0); i < a.size(); i++) {
      |                 ~~^~~~~~~~~~

Subtask #1
4.0 / 4.0

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

Subtask #5
4.0 / 4.0

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

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 348 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 3 ms 504 KB Output is correct
5 Correct 1 ms 348 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 1500 KB Output is correct
2 Correct 20 ms 992 KB Output is correct
3 Correct 15 ms 992 KB Output is correct
4 Correct 21 ms 1500 KB Output is correct
5 Correct 9 ms 736 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 992 KB Output is correct
2 Correct 19 ms 992 KB Output is correct
3 Correct 23 ms 1496 KB Output is correct
4 Correct 22 ms 1500 KB Output is correct
5 Correct 23 ms 1500 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 1500 KB Output is correct
2 Correct 19 ms 988 KB Output is correct
3 Correct 21 ms 1500 KB Output is correct
4 Correct 29 ms 1496 KB Output is correct
5 Correct 19 ms 992 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 992 KB Output is correct
2 Correct 20 ms 988 KB Output is correct
3 Correct 14 ms 600 KB Output is correct
4 Correct 26 ms 1500 KB Output is correct
5 Correct 25 ms 1596 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 1500 KB Output is correct
2 Correct 20 ms 992 KB Output is correct
3 Correct 13 ms 600 KB Output is correct
4 Correct 25 ms 1416 KB Output is correct
5 Correct 27 ms 1500 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 142 ms 4808 KB Output is correct
2 Correct 65 ms 556 KB Output is correct
3 Correct 64 ms 592 KB Output is correct
4 Correct 123 ms 5616 KB Output is correct
5 Correct 118 ms 4612 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 79 ms 596 KB Output is correct
2 Correct 188 ms 6348 KB Output is correct
3 Correct 69 ms 1492 KB Output is correct
4 Correct 123 ms 5776 KB Output is correct
5 Correct 120 ms 6344 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 164 ms 9924 KB Output is correct
2 Correct 77 ms 496 KB Output is correct
3 Correct 87 ms 344 KB Output is correct
4 Correct 150 ms 9432 KB Output is correct
5 Correct 134 ms 4816 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 508 KB Output is correct
2 Correct 227 ms 9032 KB Output is correct
3 Correct 75 ms 1528 KB Output is correct
4 Correct 149 ms 10680 KB Output is correct
5 Correct 154 ms 10420 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 191 ms 10368 KB Output is correct
2 Correct 90 ms 500 KB Output is correct
3 Correct 93 ms 600 KB Output is correct
4 Correct 173 ms 9012 KB Output is correct
5 Correct 149 ms 5316 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 93 ms 344 KB Output is correct
2 Correct 242 ms 10220 KB Output is correct
3 Correct 102 ms 1496 KB Output is correct
4 Correct 178 ms 9148 KB Output is correct
5 Correct 173 ms 9664 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 224 ms 9916 KB Output is correct
2 Correct 104 ms 704 KB Output is correct
3 Correct 98 ms 344 KB Output is correct
4 Correct 235 ms 10152 KB Output is correct
5 Correct 191 ms 9408 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 108 ms 348 KB Output is correct
2 Correct 279 ms 9152 KB Output is correct
3 Correct 109 ms 1608 KB Output is correct
4 Correct 199 ms 9284 KB Output is correct
5 Correct 188 ms 10180 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 291 ms 10176 KB Output is correct
2 Correct 127 ms 484 KB Output is correct
3 Correct 125 ms 348 KB Output is correct
4 Correct 254 ms 9136 KB Output is correct
5 Correct 232 ms 10180 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 131 ms 348 KB Output is correct
2 Correct 347 ms 9152 KB Output is correct
3 Correct 137 ms 2456 KB Output is correct
4 Correct 259 ms 10436 KB Output is correct
5 Correct 247 ms 8896 KB Output is correct