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Submission #906117

# Submission time Handle Problem Language Result Execution time Memory
906117 2024-01-13T14:13:55 Z belgianbot Mobile (BOI12_mobile) C++14
100 / 100
 448 ms 10576 KB 
#include <bits/stdc++.h>
#define pow(x, y) (long double)(pow(x, y))
using namespace std;

struct coord{
	int x, y;
};

vector <coord> a;
int N, L;
/*long double dis(int ax, ay, long double ans) {
	return (long double)(sqrt(pow(ay, 2) + pow(ax - ans, 2)));
}
long 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);
	long double frac = (long double)(num) / (long double)(den);
	
	return frac;
}*/
bool solve(long double mid) {
	long double right(0);
	for (int i(0); i < a.size(); i++) {
		if (abs(a[i].y) > mid) continue;
		long double iLeft = (long double)(a[i].x) - (long double)(sqrt(pow(mid, 2) - pow(a[i].y, 2)));
		long 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;
		a.push_back({ax, ay});
	}
	long double l(0), r(1e9);
	long double ans(0);
	while (r - l > 0.00001) {
		long double mid = l + (r - l) / 2;
		
		if (solve(mid)){
			 r = mid;
			 ans = r;
		 }
		else l = mid;
	}
	cout <<  setprecision(5) << fixed << l << '\n';
	return 0;
}

Compilation message

mobile.cpp: In function 'bool solve(long 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++) {
      |                 ~~^~~~~~~~~~
mobile.cpp: In function 'int main()':
mobile.cpp:47:14: warning: variable 'ans' set but not used [-Wunused-but-set-variable]
   47 |  long double ans(0);
      |              ^~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 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 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 #4
4.0 / 4.0

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

Subtask #5
4.0 / 4.0

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

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 1496 KB Output is correct
2 Correct 29 ms 1496 KB Output is correct
3 Correct 19 ms 992 KB Output is correct
4 Correct 23 ms 1600 KB Output is correct
5 Correct 16 ms 992 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 1496 KB Output is correct
2 Correct 22 ms 1500 KB Output is correct
3 Correct 25 ms 1496 KB Output is correct
4 Correct 27 ms 1500 KB Output is correct
5 Correct 26 ms 1500 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 1748 KB Output is correct
2 Correct 32 ms 1496 KB Output is correct
3 Correct 30 ms 1496 KB Output is correct
4 Correct 32 ms 1768 KB Output is correct
5 Correct 28 ms 1500 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 1436 KB Output is correct
2 Correct 38 ms 1500 KB Output is correct
3 Correct 36 ms 1496 KB Output is correct
4 Correct 28 ms 1500 KB Output is correct
5 Correct 34 ms 1496 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 1496 KB Output is correct
2 Correct 37 ms 1496 KB Output is correct
3 Correct 34 ms 1500 KB Output is correct
4 Correct 32 ms 1800 KB Output is correct
5 Correct 29 ms 1500 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 203 ms 5064 KB Output is correct
2 Correct 203 ms 5832 KB Output is correct
3 Correct 191 ms 4856 KB Output is correct
4 Correct 128 ms 5580 KB Output is correct
5 Correct 142 ms 5332 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 179 ms 4704 KB Output is correct
2 Correct 253 ms 6352 KB Output is correct
3 Correct 176 ms 6016 KB Output is correct
4 Correct 139 ms 4508 KB Output is correct
5 Correct 137 ms 6084 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 251 ms 9404 KB Output is correct
2 Correct 224 ms 10576 KB Output is correct
3 Correct 233 ms 10404 KB Output is correct
4 Correct 158 ms 8956 KB Output is correct
5 Correct 170 ms 9148 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 210 ms 9660 KB Output is correct
2 Correct 325 ms 10172 KB Output is correct
3 Correct 201 ms 8704 KB Output is correct
4 Correct 156 ms 10428 KB Output is correct
5 Correct 166 ms 9404 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 290 ms 10172 KB Output is correct
2 Correct 271 ms 10136 KB Output is correct
3 Correct 258 ms 8896 KB Output is correct
4 Correct 184 ms 9272 KB Output is correct
5 Correct 209 ms 8640 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 252 ms 9920 KB Output is correct
2 Correct 333 ms 10212 KB Output is correct
3 Correct 226 ms 8896 KB Output is correct
4 Correct 184 ms 9236 KB Output is correct
5 Correct 194 ms 9404 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 331 ms 9924 KB Output is correct
2 Correct 286 ms 9084 KB Output is correct
3 Correct 313 ms 9424 KB Output is correct
4 Correct 219 ms 8636 KB Output is correct
5 Correct 223 ms 8892 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 275 ms 9060 KB Output is correct
2 Correct 365 ms 9312 KB Output is correct
3 Correct 290 ms 10172 KB Output is correct
4 Correct 207 ms 9656 KB Output is correct
5 Correct 229 ms 8956 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 411 ms 10336 KB Output is correct
2 Correct 382 ms 10436 KB Output is correct
3 Correct 359 ms 9880 KB Output is correct
4 Correct 264 ms 9152 KB Output is correct
5 Correct 283 ms 8792 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 339 ms 9152 KB Output is correct
2 Correct 448 ms 9416 KB Output is correct
3 Correct 336 ms 9692 KB Output is correct
4 Correct 269 ms 9660 KB Output is correct
5 Correct 283 ms 9496 KB Output is correct