Submission #375607

# Submission time Handle Problem Language Result Execution time Memory
375607 2021-03-09T15:15:49 Z mode149256 Wish (LMIO19_noras) C++17
93 / 100
414 ms 15336 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)200000007) / max(abs(b.dxy.x), abs(b.dxy.y));
}
pl og = {0, 0};

ll closest(beam b){
	ll l = 0;
	ll h = getINF(b);
	// printf("%lld %lld, %lld %lld, h = %lld\n", b.prad.x, b.prad.y, b.dxy.x, b.dxy.y, h);
	ll m;
	while (h - l > 6) {
		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;
		}
	}

	pl ret = getnth(l, b);
	ll n = l;
	ll c = dis(ret, og);
	for (ll i = l + 1; i <= h; ++i)
	{
		pl nl = getnth(i, b);
		ll nc = dis(nl, og);
		if (nc < c) {
			c = nc;
			ret = nl;
			n = i;
		}
	}
	return n;
}

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<ll, ll>> 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 384 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 492 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 364 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 2 ms 384 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 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 492 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 364 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 2 ms 384 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 132 ms 7900 KB Output is correct
24 Correct 129 ms 7900 KB Output is correct
25 Correct 142 ms 7900 KB Output is correct
26 Correct 138 ms 7960 KB Output is correct
27 Correct 134 ms 5856 KB Output is correct
28 Correct 135 ms 8156 KB Output is correct
29 Correct 140 ms 8028 KB Output is correct
30 Correct 137 ms 8028 KB Output is correct
31 Correct 137 ms 7900 KB Output is correct
32 Correct 161 ms 7900 KB Output is correct
33 Correct 162 ms 7900 KB Output is correct
34 Correct 167 ms 8028 KB Output is correct
35 Correct 174 ms 7900 KB Output is correct
36 Correct 164 ms 7900 KB Output is correct
37 Correct 138 ms 5984 KB Output is correct
38 Correct 136 ms 5984 KB Output is correct
39 Correct 143 ms 5984 KB Output is correct
40 Correct 134 ms 5856 KB Output is correct
41 Correct 143 ms 5856 KB Output is correct
42 Correct 137 ms 6112 KB Output is correct
43 Correct 372 ms 15184 KB Output is correct
44 Correct 396 ms 15188 KB Output is correct
45 Correct 413 ms 15184 KB Output is correct
46 Correct 392 ms 15188 KB Output is correct
47 Correct 373 ms 15184 KB Output is correct
48 Correct 363 ms 15224 KB Output is correct
49 Correct 332 ms 15336 KB Output is correct
50 Correct 414 ms 15188 KB Output is correct
51 Correct 327 ms 15188 KB Output is correct
52 Correct 327 ms 15320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 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 492 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 364 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 2 ms 384 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 384 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 492 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 364 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 2 ms 384 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 132 ms 7900 KB Output is correct
24 Correct 129 ms 7900 KB Output is correct
25 Correct 142 ms 7900 KB Output is correct
26 Correct 138 ms 7960 KB Output is correct
27 Correct 134 ms 5856 KB Output is correct
28 Correct 135 ms 8156 KB Output is correct
29 Correct 140 ms 8028 KB Output is correct
30 Correct 137 ms 8028 KB Output is correct
31 Correct 137 ms 7900 KB Output is correct
32 Correct 161 ms 7900 KB Output is correct
33 Correct 162 ms 7900 KB Output is correct
34 Correct 167 ms 8028 KB Output is correct
35 Correct 174 ms 7900 KB Output is correct
36 Correct 164 ms 7900 KB Output is correct
37 Correct 138 ms 5984 KB Output is correct
38 Correct 136 ms 5984 KB Output is correct
39 Correct 143 ms 5984 KB Output is correct
40 Correct 134 ms 5856 KB Output is correct
41 Correct 143 ms 5856 KB Output is correct
42 Correct 137 ms 6112 KB Output is correct
43 Correct 372 ms 15184 KB Output is correct
44 Correct 396 ms 15188 KB Output is correct
45 Correct 413 ms 15184 KB Output is correct
46 Correct 392 ms 15188 KB Output is correct
47 Correct 373 ms 15184 KB Output is correct
48 Correct 363 ms 15224 KB Output is correct
49 Correct 332 ms 15336 KB Output is correct
50 Correct 414 ms 15188 KB Output is correct
51 Correct 327 ms 15188 KB Output is correct
52 Correct 327 ms 15320 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 128 ms 7900 KB Output is correct
60 Correct 160 ms 5856 KB Output is correct
61 Correct 139 ms 5856 KB Output is correct
62 Correct 135 ms 5856 KB Output is correct
63 Correct 160 ms 5984 KB Output is correct
64 Correct 155 ms 5888 KB Output is correct
65 Correct 158 ms 5856 KB Output is correct
66 Correct 157 ms 5856 KB Output is correct
67 Correct 158 ms 5984 KB Output is correct
68 Correct 175 ms 7900 KB Output is correct
69 Correct 169 ms 8028 KB Output is correct
70 Correct 195 ms 7964 KB Output is correct
71 Correct 169 ms 7900 KB Output is correct
72 Correct 168 ms 7964 KB Output is correct
73 Correct 132 ms 5856 KB Output is correct
74 Correct 137 ms 7900 KB Output is correct
75 Correct 139 ms 7900 KB Output is correct
76 Correct 139 ms 5856 KB Output is correct
77 Correct 356 ms 15188 KB Output is correct
78 Correct 365 ms 15188 KB Output is correct
79 Correct 359 ms 15188 KB Output is correct
80 Correct 360 ms 15204 KB Output is correct
81 Correct 368 ms 15168 KB Output is correct
82 Correct 336 ms 15188 KB Output is correct
83 Correct 341 ms 15320 KB Output is correct
84 Correct 341 ms 15188 KB Output is correct
85 Correct 338 ms 15188 KB Output is correct
86 Correct 340 ms 15188 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 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 492 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 364 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 2 ms 384 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 132 ms 7900 KB Output is correct
24 Correct 129 ms 7900 KB Output is correct
25 Correct 142 ms 7900 KB Output is correct
26 Correct 138 ms 7960 KB Output is correct
27 Correct 134 ms 5856 KB Output is correct
28 Correct 135 ms 8156 KB Output is correct
29 Correct 140 ms 8028 KB Output is correct
30 Correct 137 ms 8028 KB Output is correct
31 Correct 137 ms 7900 KB Output is correct
32 Correct 161 ms 7900 KB Output is correct
33 Correct 162 ms 7900 KB Output is correct
34 Correct 167 ms 8028 KB Output is correct
35 Correct 174 ms 7900 KB Output is correct
36 Correct 164 ms 7900 KB Output is correct
37 Correct 138 ms 5984 KB Output is correct
38 Correct 136 ms 5984 KB Output is correct
39 Correct 143 ms 5984 KB Output is correct
40 Correct 134 ms 5856 KB Output is correct
41 Correct 143 ms 5856 KB Output is correct
42 Correct 137 ms 6112 KB Output is correct
43 Correct 372 ms 15184 KB Output is correct
44 Correct 396 ms 15188 KB Output is correct
45 Correct 413 ms 15184 KB Output is correct
46 Correct 392 ms 15188 KB Output is correct
47 Correct 373 ms 15184 KB Output is correct
48 Correct 363 ms 15224 KB Output is correct
49 Correct 332 ms 15336 KB Output is correct
50 Correct 414 ms 15188 KB Output is correct
51 Correct 327 ms 15188 KB Output is correct
52 Correct 327 ms 15320 KB Output is correct
53 Correct 128 ms 7900 KB Output is correct
54 Correct 160 ms 5856 KB Output is correct
55 Correct 139 ms 5856 KB Output is correct
56 Correct 135 ms 5856 KB Output is correct
57 Correct 160 ms 5984 KB Output is correct
58 Correct 155 ms 5888 KB Output is correct
59 Correct 158 ms 5856 KB Output is correct
60 Correct 157 ms 5856 KB Output is correct
61 Correct 158 ms 5984 KB Output is correct
62 Correct 175 ms 7900 KB Output is correct
63 Correct 169 ms 8028 KB Output is correct
64 Correct 195 ms 7964 KB Output is correct
65 Correct 169 ms 7900 KB Output is correct
66 Correct 168 ms 7964 KB Output is correct
67 Correct 132 ms 5856 KB Output is correct
68 Correct 137 ms 7900 KB Output is correct
69 Correct 139 ms 7900 KB Output is correct
70 Correct 139 ms 5856 KB Output is correct
71 Correct 356 ms 15188 KB Output is correct
72 Correct 365 ms 15188 KB Output is correct
73 Correct 359 ms 15188 KB Output is correct
74 Correct 360 ms 15204 KB Output is correct
75 Correct 368 ms 15168 KB Output is correct
76 Correct 336 ms 15188 KB Output is correct
77 Correct 341 ms 15320 KB Output is correct
78 Correct 341 ms 15188 KB Output is correct
79 Correct 338 ms 15188 KB Output is correct
80 Correct 340 ms 15188 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 180 ms 3740 KB Output isn't correct
88 Halted 0 ms 0 KB -