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답안 #1016073

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1016073 2024-07-07T11:18:05 Z BuzzyBeez Wish (LMIO19_noras) C++17
100 / 100
 112 ms 12488 KB 
#include <bits/stdc++.h>
using namespace std;
#define big __int128_t
// #define big long long

const long double eps = 1e-12;
const long long inf = 1LL << 60;
const long long lim = 1e9;

long long R, sx, sy, sx2, sy2, vx, vy, l, r; big X, Y, Z, T;

bool check(long long a) { // is it in the circle
	if (a < 0) return 0;
	if (a > lim) return 0;
	return (sx + a * vx) * (sx + a * vx) + (sy + a * vy) * (sy + a * vy) <= R * R;
}

pair<long long, long long> p[200008];
vector<long long> tbc;

void compress() {sort(tbc.begin(), tbc.end()); tbc.resize(unique(tbc.begin(), tbc.end()) - tbc.begin());}
int order(long long key) {return lower_bound(tbc.begin(), tbc.end(), key) - tbc.begin() + 1;}

int upd[400008];

signed main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);
	int n, ans = 0, m = 0; cin >> n >> R;
	pair<long long, long long> range;
	for (int i = 1; i <= n; ++i) {
		cin >> sx >> sy >> sx2 >> sy2; vx = sx2 - sx; vy = sy2 - sy;
		X = vx * vx + vy * vy; Y = 2 * (sx * vx + sy * vy);
		Z = R * R - sx * sx - sy * sy; T = 4 * X * Z + Y * Y;
		if (T < 0) continue;
		l = (-Y - sqrtl(T)) / (2 * X); r = (-Y + sqrtl(T)) / (2 * X);
		l = max(l, 0LL); r = max(r, 0LL);
		range = {1, -1};
		for (long long i = l - 10; i <= l + 10; ++i) if (check(i)) {range.first = i; break;}
		for (long long i = r + 10; i >= r - 10; --i) if (check(i)) {range.second = i; break;}
		// for (int j = 0; j <= 20000; ++j) if (check(l)) {range.first = j; break;}
		// for (int j = 20000; j >= 0; --j) if (check(r)) {range.second = j; break;}
		// cout << i << ' ' << range.first << ' ' << range.second << '\n';
		// cout << X << ' ' << Y << ' ' << Z << ' ' << T << ' ' << l << ' ' << r << '\n';
		if (range.first <= range.second) {
			p[++m] = range;
			tbc.push_back(range.first); tbc.push_back(range.second);
		}
	}
	compress();
	for (int i = 1; i <= m; ++i) p[i].first = order(p[i].first), p[i].second = order(p[i].second);
	for (int i = 1; i <= m; ++i) ++upd[p[i].first], --upd[p[i].second + 1];
	for (int i = 1; i <= tbc.size() + 1; ++i) upd[i] += upd[i - 1];
	ans += *max_element(upd + 1, upd + tbc.size() + 1);
	cout << ans;
}

Compilation message

noras.cpp: In function 'int main()':
noras.cpp:53:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   53 |  for (int i = 1; i <= tbc.size() + 1; ++i) upd[i] += upd[i - 1];
      |                  ~~^~~~~~~~~~~~~~~~~

Subtask #1
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 476 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 0 ms 348 KB Output is correct

Subtask #2
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 476 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 27 ms 3904 KB Output is correct
24 Correct 27 ms 5068 KB Output is correct
25 Correct 25 ms 6560 KB Output is correct
26 Correct 28 ms 5112 KB Output is correct
27 Correct 32 ms 3920 KB Output is correct
28 Correct 30 ms 5068 KB Output is correct
29 Correct 30 ms 5076 KB Output is correct
30 Correct 30 ms 5076 KB Output is correct
31 Correct 31 ms 5100 KB Output is correct
32 Correct 44 ms 5328 KB Output is correct
33 Correct 52 ms 5316 KB Output is correct
34 Correct 44 ms 5320 KB Output is correct
35 Correct 42 ms 6612 KB Output is correct
36 Correct 43 ms 6676 KB Output is correct
37 Correct 27 ms 4044 KB Output is correct
38 Correct 27 ms 4056 KB Output is correct
39 Correct 26 ms 5084 KB Output is correct
40 Correct 26 ms 5072 KB Output is correct
41 Correct 29 ms 6872 KB Output is correct
42 Correct 31 ms 5072 KB Output is correct
43 Correct 94 ms 12488 KB Output is correct
44 Correct 89 ms 12480 KB Output is correct
45 Correct 104 ms 12480 KB Output is correct
46 Correct 88 ms 12480 KB Output is correct
47 Correct 96 ms 12488 KB Output is correct
48 Correct 86 ms 11460 KB Output is correct
49 Correct 90 ms 11472 KB Output is correct
50 Correct 86 ms 11268 KB Output is correct
51 Correct 80 ms 9924 KB Output is correct
52 Correct 96 ms 11204 KB Output is correct

Subtask #3
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 476 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 600 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct

Subtask #4
32.0 / 32.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 476 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 27 ms 3904 KB Output is correct
24 Correct 27 ms 5068 KB Output is correct
25 Correct 25 ms 6560 KB Output is correct
26 Correct 28 ms 5112 KB Output is correct
27 Correct 32 ms 3920 KB Output is correct
28 Correct 30 ms 5068 KB Output is correct
29 Correct 30 ms 5076 KB Output is correct
30 Correct 30 ms 5076 KB Output is correct
31 Correct 31 ms 5100 KB Output is correct
32 Correct 44 ms 5328 KB Output is correct
33 Correct 52 ms 5316 KB Output is correct
34 Correct 44 ms 5320 KB Output is correct
35 Correct 42 ms 6612 KB Output is correct
36 Correct 43 ms 6676 KB Output is correct
37 Correct 27 ms 4044 KB Output is correct
38 Correct 27 ms 4056 KB Output is correct
39 Correct 26 ms 5084 KB Output is correct
40 Correct 26 ms 5072 KB Output is correct
41 Correct 29 ms 6872 KB Output is correct
42 Correct 31 ms 5072 KB Output is correct
43 Correct 94 ms 12488 KB Output is correct
44 Correct 89 ms 12480 KB Output is correct
45 Correct 104 ms 12480 KB Output is correct
46 Correct 88 ms 12480 KB Output is correct
47 Correct 96 ms 12488 KB Output is correct
48 Correct 86 ms 11460 KB Output is correct
49 Correct 90 ms 11472 KB Output is correct
50 Correct 86 ms 11268 KB Output is correct
51 Correct 80 ms 9924 KB Output is correct
52 Correct 96 ms 11204 KB Output is correct
53 Correct 1 ms 600 KB Output is correct
54 Correct 1 ms 348 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 2396 KB Output is correct
59 Correct 29 ms 4904 KB Output is correct
60 Correct 28 ms 4088 KB Output is correct
61 Correct 30 ms 4044 KB Output is correct
62 Correct 31 ms 4152 KB Output is correct
63 Correct 37 ms 4128 KB Output is correct
64 Correct 37 ms 3800 KB Output is correct
65 Correct 42 ms 4324 KB Output is correct
66 Correct 41 ms 4048 KB Output is correct
67 Correct 37 ms 4044 KB Output is correct
68 Correct 51 ms 5344 KB Output is correct
69 Correct 46 ms 5356 KB Output is correct
70 Correct 47 ms 5320 KB Output is correct
71 Correct 46 ms 5324 KB Output is correct
72 Correct 48 ms 5336 KB Output is correct
73 Correct 33 ms 3936 KB Output is correct
74 Correct 31 ms 6584 KB Output is correct
75 Correct 30 ms 5072 KB Output is correct
76 Correct 30 ms 5336 KB Output is correct
77 Correct 94 ms 10640 KB Output is correct
78 Correct 98 ms 11716 KB Output is correct
79 Correct 99 ms 10480 KB Output is correct
80 Correct 112 ms 10420 KB Output is correct
81 Correct 95 ms 10304 KB Output is correct
82 Correct 105 ms 11620 KB Output is correct
83 Correct 94 ms 10148 KB Output is correct
84 Correct 86 ms 10156 KB Output is correct
85 Correct 95 ms 10176 KB Output is correct
86 Correct 92 ms 11732 KB Output is correct

Subtask #5
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 476 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 27 ms 3904 KB Output is correct
24 Correct 27 ms 5068 KB Output is correct
25 Correct 25 ms 6560 KB Output is correct
26 Correct 28 ms 5112 KB Output is correct
27 Correct 32 ms 3920 KB Output is correct
28 Correct 30 ms 5068 KB Output is correct
29 Correct 30 ms 5076 KB Output is correct
30 Correct 30 ms 5076 KB Output is correct
31 Correct 31 ms 5100 KB Output is correct
32 Correct 44 ms 5328 KB Output is correct
33 Correct 52 ms 5316 KB Output is correct
34 Correct 44 ms 5320 KB Output is correct
35 Correct 42 ms 6612 KB Output is correct
36 Correct 43 ms 6676 KB Output is correct
37 Correct 27 ms 4044 KB Output is correct
38 Correct 27 ms 4056 KB Output is correct
39 Correct 26 ms 5084 KB Output is correct
40 Correct 26 ms 5072 KB Output is correct
41 Correct 29 ms 6872 KB Output is correct
42 Correct 31 ms 5072 KB Output is correct
43 Correct 94 ms 12488 KB Output is correct
44 Correct 89 ms 12480 KB Output is correct
45 Correct 104 ms 12480 KB Output is correct
46 Correct 88 ms 12480 KB Output is correct
47 Correct 96 ms 12488 KB Output is correct
48 Correct 86 ms 11460 KB Output is correct
49 Correct 90 ms 11472 KB Output is correct
50 Correct 86 ms 11268 KB Output is correct
51 Correct 80 ms 9924 KB Output is correct
52 Correct 96 ms 11204 KB Output is correct
53 Correct 29 ms 4904 KB Output is correct
54 Correct 28 ms 4088 KB Output is correct
55 Correct 30 ms 4044 KB Output is correct
56 Correct 31 ms 4152 KB Output is correct
57 Correct 37 ms 4128 KB Output is correct
58 Correct 37 ms 3800 KB Output is correct
59 Correct 42 ms 4324 KB Output is correct
60 Correct 41 ms 4048 KB Output is correct
61 Correct 37 ms 4044 KB Output is correct
62 Correct 51 ms 5344 KB Output is correct
63 Correct 46 ms 5356 KB Output is correct
64 Correct 47 ms 5320 KB Output is correct
65 Correct 46 ms 5324 KB Output is correct
66 Correct 48 ms 5336 KB Output is correct
67 Correct 33 ms 3936 KB Output is correct
68 Correct 31 ms 6584 KB Output is correct
69 Correct 30 ms 5072 KB Output is correct
70 Correct 30 ms 5336 KB Output is correct
71 Correct 94 ms 10640 KB Output is correct
72 Correct 98 ms 11716 KB Output is correct
73 Correct 99 ms 10480 KB Output is correct
74 Correct 112 ms 10420 KB Output is correct
75 Correct 95 ms 10304 KB Output is correct
76 Correct 105 ms 11620 KB Output is correct
77 Correct 94 ms 10148 KB Output is correct
78 Correct 86 ms 10156 KB Output is correct
79 Correct 95 ms 10176 KB Output is correct
80 Correct 92 ms 11732 KB Output is correct
81 Correct 1 ms 600 KB Output is correct
82 Correct 1 ms 348 KB Output is correct
83 Correct 1 ms 2396 KB Output is correct
84 Correct 1 ms 348 KB Output is correct
85 Correct 1 ms 348 KB Output is correct
86 Correct 1 ms 2396 KB Output is correct
87 Correct 62 ms 7116 KB Output is correct
88 Correct 47 ms 5836 KB Output is correct
89 Correct 48 ms 5612 KB Output is correct
90 Correct 53 ms 5584 KB Output is correct
91 Correct 48 ms 8916 KB Output is correct
92 Correct 55 ms 5836 KB Output is correct
93 Correct 51 ms 5840 KB Output is correct
94 Correct 55 ms 5992 KB Output is correct
95 Correct 49 ms 5840 KB Output is correct
96 Correct 49 ms 5836 KB Output is correct
97 Correct 38 ms 5844 KB Output is correct
98 Correct 33 ms 5924 KB Output is correct
99 Correct 35 ms 5908 KB Output is correct
100 Correct 33 ms 5960 KB Output is correct
101 Correct 32 ms 5844 KB Output is correct
102 Correct 45 ms 5836 KB Output is correct
103 Correct 33 ms 5836 KB Output is correct
104 Correct 33 ms 5828 KB Output is correct
105 Correct 34 ms 5828 KB Output is correct
106 Correct 34 ms 5844 KB Output is correct