Submission #375557

# Submission time Handle Problem Language Result Execution time Memory
375557 2021-03-09T14:21:29 Z mode149256 Wish (LMIO19_noras) C++17
93 / 100
383 ms 15192 KB
/*input
2 1
-3 -2 -1 -1
-2 2 -1 1
*/
#include<bits/stdc++.h>
using namespace std;
#define x first
#define y second

using ll = long long;
using pl = pair<ll, ll>;

struct beam {
	pl prad;
	pl dxy; // {dx, dy}
};
int N, R;

ll dis(pl a, pl b) { // squared distance
	return (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y);
}

// 0th second yra prad
pl getnth(ll n, beam b) {
	return {b.prad.x + n * b.dxy.x, b.prad.y + n * b.dxy.y};
}
vector<beam> sk;

ll getINF(beam b) {
	return ((ll)1e9) / max(abs(b.dxy.x), abs(b.dxy.y));
}
pl og = {0, 0};

ll closest(beam b) {
	ll l = 0;
	ll h = getINF(b);
	ll m;

	while (l < h) {
		m = (l + h) / 2;

		pl n1 = getnth(m, b);
		pl n2 = getnth(m + 1, b);

		ll d1 = dis(n1, og);
		ll d2 = dis(n2, og);

		if (d1 == d2) {
			return m;
		} else if (d1 < d2) {
			h = m;
		} else {
			l = m + 1;
		}
	}

	return l;
}

ll getFirst(beam b, ll best) {
	ll l = 0;
	ll h = best;
	ll m;
	while (l < h) {
		m = (l + h) / 2;

		pl n1 = getnth(m, b);
		ll d1 = dis(n1, og);

		if (d1 <= R * R) {
			h = m;
		} else {
			l = m + 1;
		}
	}
	return l;
}

ll getLast(beam b, ll best) {
	ll l = best;
	ll h = getINF(b);
	ll m;
	while (l < h) {
		m = (l + h + 1) / 2;

		pl n1 = getnth(m, b);
		ll d1 = dis(n1, og);

		if (d1 <= R * R) {
			l = m;
		} else {
			h = m - 1;
		}
	}
	return l;
}

int main() {
	cin >> N >> R;
	sk.resize(N);
	for (int i = 0; i < N; ++i)
	{
		ll a, b, c, d;
		cin >> a >> b >> c >> d;
		sk[i] = beam{{a, b}, {c - a, d - b}};
	}

	vector<pair<int, int>> inter;

	for (auto b : sk) {
		ll best = closest(b);
		if (dis(getnth(best, b), og) > R * R) {
			continue;
		}

		ll pirm = getFirst(b, best);
		ll gal = getLast(b, best);

		inter.emplace_back(pirm, +1);
		inter.emplace_back(gal + 1, -1);
		//[pirm, gal]
	}

	sort(inter.begin(), inter.end());

	ll ats = 0;
	ll curr = 0;

	int j = 0;
	while (j < (int)inter.size()) {
		ll dabar = inter[j].x;
		while (j < (int)inter.size() && inter[j].x == dabar) {
			curr += inter[j].y;
			j++;
		}

		ats = max(ats, curr);
	}
	cout << ats << '\n';
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 236 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 3 ms 364 KB Output is correct
15 Correct 2 ms 364 KB Output is correct
16 Correct 2 ms 364 KB Output is correct
17 Correct 2 ms 364 KB Output is correct
18 Correct 2 ms 364 KB Output is correct
19 Correct 2 ms 364 KB Output is correct
20 Correct 2 ms 364 KB Output is correct
21 Correct 3 ms 364 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 236 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 3 ms 364 KB Output is correct
15 Correct 2 ms 364 KB Output is correct
16 Correct 2 ms 364 KB Output is correct
17 Correct 2 ms 364 KB Output is correct
18 Correct 2 ms 364 KB Output is correct
19 Correct 2 ms 364 KB Output is correct
20 Correct 2 ms 364 KB Output is correct
21 Correct 3 ms 364 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 135 ms 7264 KB Output is correct
24 Correct 133 ms 7136 KB Output is correct
25 Correct 135 ms 7392 KB Output is correct
26 Correct 132 ms 7264 KB Output is correct
27 Correct 136 ms 6500 KB Output is correct
28 Correct 137 ms 7264 KB Output is correct
29 Correct 140 ms 7520 KB Output is correct
30 Correct 141 ms 7392 KB Output is correct
31 Correct 141 ms 7392 KB Output is correct
32 Correct 167 ms 7520 KB Output is correct
33 Correct 166 ms 7412 KB Output is correct
34 Correct 170 ms 7520 KB Output is correct
35 Correct 167 ms 7520 KB Output is correct
36 Correct 178 ms 7520 KB Output is correct
37 Correct 143 ms 6116 KB Output is correct
38 Correct 138 ms 6116 KB Output is correct
39 Correct 139 ms 6264 KB Output is correct
40 Correct 137 ms 6116 KB Output is correct
41 Correct 139 ms 6116 KB Output is correct
42 Correct 141 ms 6244 KB Output is correct
43 Correct 383 ms 15064 KB Output is correct
44 Correct 378 ms 15068 KB Output is correct
45 Correct 382 ms 15068 KB Output is correct
46 Correct 378 ms 15068 KB Output is correct
47 Correct 381 ms 15068 KB Output is correct
48 Correct 358 ms 14300 KB Output is correct
49 Correct 344 ms 14428 KB Output is correct
50 Correct 333 ms 14428 KB Output is correct
51 Correct 331 ms 14428 KB Output is correct
52 Correct 337 ms 14300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 236 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 3 ms 364 KB Output is correct
15 Correct 2 ms 364 KB Output is correct
16 Correct 2 ms 364 KB Output is correct
17 Correct 2 ms 364 KB Output is correct
18 Correct 2 ms 364 KB Output is correct
19 Correct 2 ms 364 KB Output is correct
20 Correct 2 ms 364 KB Output is correct
21 Correct 3 ms 364 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 2 ms 364 KB Output is correct
25 Correct 2 ms 364 KB Output is correct
26 Correct 2 ms 364 KB Output is correct
27 Correct 2 ms 364 KB Output is correct
28 Correct 2 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 236 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 3 ms 364 KB Output is correct
15 Correct 2 ms 364 KB Output is correct
16 Correct 2 ms 364 KB Output is correct
17 Correct 2 ms 364 KB Output is correct
18 Correct 2 ms 364 KB Output is correct
19 Correct 2 ms 364 KB Output is correct
20 Correct 2 ms 364 KB Output is correct
21 Correct 3 ms 364 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 135 ms 7264 KB Output is correct
24 Correct 133 ms 7136 KB Output is correct
25 Correct 135 ms 7392 KB Output is correct
26 Correct 132 ms 7264 KB Output is correct
27 Correct 136 ms 6500 KB Output is correct
28 Correct 137 ms 7264 KB Output is correct
29 Correct 140 ms 7520 KB Output is correct
30 Correct 141 ms 7392 KB Output is correct
31 Correct 141 ms 7392 KB Output is correct
32 Correct 167 ms 7520 KB Output is correct
33 Correct 166 ms 7412 KB Output is correct
34 Correct 170 ms 7520 KB Output is correct
35 Correct 167 ms 7520 KB Output is correct
36 Correct 178 ms 7520 KB Output is correct
37 Correct 143 ms 6116 KB Output is correct
38 Correct 138 ms 6116 KB Output is correct
39 Correct 139 ms 6264 KB Output is correct
40 Correct 137 ms 6116 KB Output is correct
41 Correct 139 ms 6116 KB Output is correct
42 Correct 141 ms 6244 KB Output is correct
43 Correct 383 ms 15064 KB Output is correct
44 Correct 378 ms 15068 KB Output is correct
45 Correct 382 ms 15068 KB Output is correct
46 Correct 378 ms 15068 KB Output is correct
47 Correct 381 ms 15068 KB Output is correct
48 Correct 358 ms 14300 KB Output is correct
49 Correct 344 ms 14428 KB Output is correct
50 Correct 333 ms 14428 KB Output is correct
51 Correct 331 ms 14428 KB Output is correct
52 Correct 337 ms 14300 KB Output is correct
53 Correct 1 ms 364 KB Output is correct
54 Correct 2 ms 364 KB Output is correct
55 Correct 2 ms 364 KB Output is correct
56 Correct 2 ms 364 KB Output is correct
57 Correct 2 ms 364 KB Output is correct
58 Correct 2 ms 364 KB Output is correct
59 Correct 132 ms 7136 KB Output is correct
60 Correct 144 ms 6628 KB Output is correct
61 Correct 146 ms 6628 KB Output is correct
62 Correct 141 ms 6628 KB Output is correct
63 Correct 167 ms 6900 KB Output is correct
64 Correct 161 ms 6628 KB Output is correct
65 Correct 162 ms 6628 KB Output is correct
66 Correct 168 ms 6756 KB Output is correct
67 Correct 163 ms 6628 KB Output is correct
68 Correct 172 ms 7520 KB Output is correct
69 Correct 174 ms 7456 KB Output is correct
70 Correct 175 ms 7520 KB Output is correct
71 Correct 190 ms 7648 KB Output is correct
72 Correct 176 ms 7520 KB Output is correct
73 Correct 137 ms 6116 KB Output is correct
74 Correct 142 ms 7136 KB Output is correct
75 Correct 147 ms 7284 KB Output is correct
76 Correct 143 ms 6308 KB Output is correct
77 Correct 367 ms 15068 KB Output is correct
78 Correct 366 ms 15068 KB Output is correct
79 Correct 372 ms 15192 KB Output is correct
80 Correct 374 ms 15192 KB Output is correct
81 Correct 366 ms 15068 KB Output is correct
82 Correct 349 ms 14684 KB Output is correct
83 Correct 348 ms 14556 KB Output is correct
84 Correct 354 ms 14556 KB Output is correct
85 Correct 345 ms 14892 KB Output is correct
86 Correct 355 ms 14556 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 236 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 3 ms 364 KB Output is correct
15 Correct 2 ms 364 KB Output is correct
16 Correct 2 ms 364 KB Output is correct
17 Correct 2 ms 364 KB Output is correct
18 Correct 2 ms 364 KB Output is correct
19 Correct 2 ms 364 KB Output is correct
20 Correct 2 ms 364 KB Output is correct
21 Correct 3 ms 364 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 135 ms 7264 KB Output is correct
24 Correct 133 ms 7136 KB Output is correct
25 Correct 135 ms 7392 KB Output is correct
26 Correct 132 ms 7264 KB Output is correct
27 Correct 136 ms 6500 KB Output is correct
28 Correct 137 ms 7264 KB Output is correct
29 Correct 140 ms 7520 KB Output is correct
30 Correct 141 ms 7392 KB Output is correct
31 Correct 141 ms 7392 KB Output is correct
32 Correct 167 ms 7520 KB Output is correct
33 Correct 166 ms 7412 KB Output is correct
34 Correct 170 ms 7520 KB Output is correct
35 Correct 167 ms 7520 KB Output is correct
36 Correct 178 ms 7520 KB Output is correct
37 Correct 143 ms 6116 KB Output is correct
38 Correct 138 ms 6116 KB Output is correct
39 Correct 139 ms 6264 KB Output is correct
40 Correct 137 ms 6116 KB Output is correct
41 Correct 139 ms 6116 KB Output is correct
42 Correct 141 ms 6244 KB Output is correct
43 Correct 383 ms 15064 KB Output is correct
44 Correct 378 ms 15068 KB Output is correct
45 Correct 382 ms 15068 KB Output is correct
46 Correct 378 ms 15068 KB Output is correct
47 Correct 381 ms 15068 KB Output is correct
48 Correct 358 ms 14300 KB Output is correct
49 Correct 344 ms 14428 KB Output is correct
50 Correct 333 ms 14428 KB Output is correct
51 Correct 331 ms 14428 KB Output is correct
52 Correct 337 ms 14300 KB Output is correct
53 Correct 132 ms 7136 KB Output is correct
54 Correct 144 ms 6628 KB Output is correct
55 Correct 146 ms 6628 KB Output is correct
56 Correct 141 ms 6628 KB Output is correct
57 Correct 167 ms 6900 KB Output is correct
58 Correct 161 ms 6628 KB Output is correct
59 Correct 162 ms 6628 KB Output is correct
60 Correct 168 ms 6756 KB Output is correct
61 Correct 163 ms 6628 KB Output is correct
62 Correct 172 ms 7520 KB Output is correct
63 Correct 174 ms 7456 KB Output is correct
64 Correct 175 ms 7520 KB Output is correct
65 Correct 190 ms 7648 KB Output is correct
66 Correct 176 ms 7520 KB Output is correct
67 Correct 137 ms 6116 KB Output is correct
68 Correct 142 ms 7136 KB Output is correct
69 Correct 147 ms 7284 KB Output is correct
70 Correct 143 ms 6308 KB Output is correct
71 Correct 367 ms 15068 KB Output is correct
72 Correct 366 ms 15068 KB Output is correct
73 Correct 372 ms 15192 KB Output is correct
74 Correct 374 ms 15192 KB Output is correct
75 Correct 366 ms 15068 KB Output is correct
76 Correct 349 ms 14684 KB Output is correct
77 Correct 348 ms 14556 KB Output is correct
78 Correct 354 ms 14556 KB Output is correct
79 Correct 345 ms 14892 KB Output is correct
80 Correct 355 ms 14556 KB Output is correct
81 Correct 1 ms 364 KB Output is correct
82 Correct 2 ms 364 KB Output is correct
83 Correct 2 ms 364 KB Output is correct
84 Correct 2 ms 364 KB Output is correct
85 Correct 2 ms 364 KB Output is correct
86 Correct 2 ms 364 KB Output is correct
87 Incorrect 186 ms 7020 KB Output isn't correct
88 Halted 0 ms 0 KB -