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Submission #906160

# Submission time Handle Problem Language Result Execution time Memory
906160 2024-01-13T14:57:16 Z belgianbot Mobile (BOI12_mobile) C++14
100 / 100
 346 ms 10584 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(mid * mid - double(a[i].y) * double(a[i].y)));
		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(5) << 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 344 KB Output is correct
2 Correct 1 ms 344 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 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 2 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 2 ms 376 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 3 ms 348 KB Output is correct
3 Correct 2 ms 344 KB Output is correct
4 Correct 2 ms 344 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 344 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 2 ms 500 KB Output is correct
4 Correct 2 ms 516 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 348 KB Output is correct
2 Correct 2 ms 352 KB Output is correct
3 Correct 2 ms 464 KB Output is correct
4 Correct 3 ms 356 KB Output is correct
5 Correct 2 ms 360 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 1508 KB Output is correct
2 Correct 20 ms 880 KB Output is correct
3 Correct 16 ms 1028 KB Output is correct
4 Correct 20 ms 1640 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 15 ms 1036 KB Output is correct
2 Correct 17 ms 992 KB Output is correct
3 Correct 22 ms 1500 KB Output is correct
4 Correct 33 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 25 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 40 ms 1496 KB Output is correct
5 Correct 18 ms 992 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 1064 KB Output is correct
2 Correct 21 ms 1064 KB Output is correct
3 Correct 22 ms 492 KB Output is correct
4 Correct 40 ms 1500 KB Output is correct
5 Correct 26 ms 1500 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 1496 KB Output is correct
2 Correct 21 ms 992 KB Output is correct
3 Correct 14 ms 604 KB Output is correct
4 Correct 29 ms 1500 KB Output is correct
5 Correct 40 ms 1500 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 170 ms 6592 KB Output is correct
2 Correct 65 ms 552 KB Output is correct
3 Correct 64 ms 560 KB Output is correct
4 Correct 132 ms 5320 KB Output is correct
5 Correct 116 ms 5308 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 848 KB Output is correct
2 Correct 205 ms 6180 KB Output is correct
3 Correct 74 ms 1492 KB Output is correct
4 Correct 125 ms 5008 KB Output is correct
5 Correct 126 ms 6600 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 175 ms 10432 KB Output is correct
2 Correct 76 ms 344 KB Output is correct
3 Correct 77 ms 536 KB Output is correct
4 Correct 146 ms 9516 KB Output is correct
5 Correct 132 ms 4596 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 348 KB Output is correct
2 Correct 232 ms 9920 KB Output is correct
3 Correct 75 ms 1492 KB Output is correct
4 Correct 155 ms 9400 KB Output is correct
5 Correct 146 ms 10176 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 192 ms 9148 KB Output is correct
2 Correct 90 ms 468 KB Output is correct
3 Correct 108 ms 348 KB Output is correct
4 Correct 170 ms 9512 KB Output is correct
5 Correct 145 ms 5832 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 480 KB Output is correct
2 Correct 258 ms 9404 KB Output is correct
3 Correct 99 ms 1488 KB Output is correct
4 Correct 179 ms 9212 KB Output is correct
5 Correct 164 ms 9884 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 253 ms 10432 KB Output is correct
2 Correct 101 ms 468 KB Output is correct
3 Correct 117 ms 348 KB Output is correct
4 Correct 193 ms 9516 KB Output is correct
5 Correct 195 ms 10584 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 344 KB Output is correct
2 Correct 284 ms 9404 KB Output is correct
3 Correct 108 ms 1492 KB Output is correct
4 Correct 191 ms 9404 KB Output is correct
5 Correct 184 ms 10428 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 278 ms 8892 KB Output is correct
2 Correct 129 ms 592 KB Output is correct
3 Correct 167 ms 344 KB Output is correct
4 Correct 241 ms 10204 KB Output is correct
5 Correct 218 ms 9916 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 132 ms 480 KB Output is correct
2 Correct 346 ms 8896 KB Output is correct
3 Correct 135 ms 2560 KB Output is correct
4 Correct 240 ms 10172 KB Output is correct
5 Correct 262 ms 10428 KB Output is correct