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답안 #253187

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
253187 2020-07-27T11:14:42 Z vioalbert Wish (LMIO19_noras) C++14
100 / 100
 176 ms 15076 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const ll N = 2e5+5, INF = 1e18, SQRINF = 1e9;
ll n, R;
ll a[N], b[N], c[N], d[N];
vector<pair<ll, ll>> events;

void read() {
	cin >> n >> R;
	for(int i = 0; i < n; i++)
		cin >> a[i] >> b[i] >> c[i] >> d[i];
}

ll val(ll a, ll b, ll c, ll d, ll t) {
	ll r1 = a + (c - a) * t;
	ll r2 = b + (d - b) * t;
	return min(INF, ((r1>=SQRINF || r1<=-SQRINF)?INF:(r1*r1)) + ((r2>=SQRINF || r2<=-SQRINF)?INF:(r2*r2)));
}

void solve() {
	for(int i = 0; i < n; i++) {
		pair<ll, ll> ans = {INF, INF};
		ll x1, x2, l, r, xx;
		ll nom = a[i] * (a[i] - c[i]) + b[i] * (b[i] - d[i]);
		ll den = (a[i] - c[i]) * (a[i] - c[i]) + (b[i] - d[i]) * (b[i] - d[i]);
		if(nom % den == 0) {
			x1 = x2 = nom / den;
		} else {
			x1 = nom / den;
			x2 = x1 + 1;
		}
		x1 = max(0ll, x1), x2 = max(0ll, x2);
		if(val(a[i], b[i], c[i], d[i], x2) < val(a[i], b[i], c[i], d[i], x1)) x1 = x2;
		if(val(a[i], b[i], c[i], d[i], x1) > R*R) continue;

		xx = INF;
		l = 0, r = x1;
		while(l <= r) {
			ll mid = (l+r)/2;
			if(val(a[i], b[i], c[i], d[i], mid) <= R*R)
				xx = mid, r = mid-1;
			else
				l = mid+1;
		}
		ans.first = xx;

		xx = INF;
		l = x1, r = 1e9;
		while(l <= r) {
			ll mid = (l+r)/2;
			if(val(a[i], b[i], c[i], d[i], mid) <= R*R)
				xx = mid, l = mid+1;
			else
				r = mid-1;
		}
		ans.second = xx;

		if(ans.first == INF || ans.second == INF) continue;
		events.push_back({ans.first, 1});
		events.push_back({ans.second+1, -1});
	}
	sort(events.begin(), events.end());
	ll ans = 0, cur = 0, prv = 0;
	for(auto e : events) {
		cur += e.second;
		ans = max(ans, cur);
		prv = e.first;
	}
	cout << ans << '\n';
}

int main() {
	ios::sync_with_stdio(0); cin.tie(0);
	read();
	solve();
	return 0;
}

Compilation message

noras.cpp: In function 'void solve()':
noras.cpp:65:23: warning: variable 'prv' set but not used [-Wunused-but-set-variable]
  ll ans = 0, cur = 0, prv = 0;
                       ^~~

Subtask #1
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 512 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 2 ms 512 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 512 KB Output is correct
21 Correct 2 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct

Subtask #2
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 512 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 2 ms 512 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 512 KB Output is correct
21 Correct 2 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 70 ms 7788 KB Output is correct
24 Correct 61 ms 7788 KB Output is correct
25 Correct 56 ms 7788 KB Output is correct
26 Correct 57 ms 7788 KB Output is correct
27 Correct 49 ms 5620 KB Output is correct
28 Correct 57 ms 7788 KB Output is correct
29 Correct 58 ms 7776 KB Output is correct
30 Correct 58 ms 7788 KB Output is correct
31 Correct 59 ms 7788 KB Output is correct
32 Correct 83 ms 7792 KB Output is correct
33 Correct 83 ms 7788 KB Output is correct
34 Correct 89 ms 7788 KB Output is correct
35 Correct 85 ms 7788 KB Output is correct
36 Correct 83 ms 7788 KB Output is correct
37 Correct 54 ms 5616 KB Output is correct
38 Correct 54 ms 5616 KB Output is correct
39 Correct 52 ms 5744 KB Output is correct
40 Correct 54 ms 5744 KB Output is correct
41 Correct 58 ms 5772 KB Output is correct
42 Correct 51 ms 5616 KB Output is correct
43 Correct 172 ms 14964 KB Output is correct
44 Correct 176 ms 14944 KB Output is correct
45 Correct 173 ms 14944 KB Output is correct
46 Correct 176 ms 14944 KB Output is correct
47 Correct 172 ms 14944 KB Output is correct
48 Correct 161 ms 14948 KB Output is correct
49 Correct 154 ms 14940 KB Output is correct
50 Correct 154 ms 14944 KB Output is correct
51 Correct 155 ms 14948 KB Output is correct
52 Correct 157 ms 14948 KB Output is correct

Subtask #3
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 512 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 2 ms 512 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 512 KB Output is correct
21 Correct 2 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 0 ms 384 KB Output is correct
24 Correct 1 ms 512 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 2 ms 384 KB Output is correct
28 Correct 2 ms 512 KB Output is correct

Subtask #4
32.0 / 32.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 512 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 2 ms 512 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 512 KB Output is correct
21 Correct 2 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 70 ms 7788 KB Output is correct
24 Correct 61 ms 7788 KB Output is correct
25 Correct 56 ms 7788 KB Output is correct
26 Correct 57 ms 7788 KB Output is correct
27 Correct 49 ms 5620 KB Output is correct
28 Correct 57 ms 7788 KB Output is correct
29 Correct 58 ms 7776 KB Output is correct
30 Correct 58 ms 7788 KB Output is correct
31 Correct 59 ms 7788 KB Output is correct
32 Correct 83 ms 7792 KB Output is correct
33 Correct 83 ms 7788 KB Output is correct
34 Correct 89 ms 7788 KB Output is correct
35 Correct 85 ms 7788 KB Output is correct
36 Correct 83 ms 7788 KB Output is correct
37 Correct 54 ms 5616 KB Output is correct
38 Correct 54 ms 5616 KB Output is correct
39 Correct 52 ms 5744 KB Output is correct
40 Correct 54 ms 5744 KB Output is correct
41 Correct 58 ms 5772 KB Output is correct
42 Correct 51 ms 5616 KB Output is correct
43 Correct 172 ms 14964 KB Output is correct
44 Correct 176 ms 14944 KB Output is correct
45 Correct 173 ms 14944 KB Output is correct
46 Correct 176 ms 14944 KB Output is correct
47 Correct 172 ms 14944 KB Output is correct
48 Correct 161 ms 14948 KB Output is correct
49 Correct 154 ms 14940 KB Output is correct
50 Correct 154 ms 14944 KB Output is correct
51 Correct 155 ms 14948 KB Output is correct
52 Correct 157 ms 14948 KB Output is correct
53 Correct 85 ms 7964 KB Output is correct
54 Correct 52 ms 5616 KB Output is correct
55 Correct 51 ms 5616 KB Output is correct
56 Correct 54 ms 5616 KB Output is correct
57 Correct 58 ms 5616 KB Output is correct
58 Correct 59 ms 5616 KB Output is correct
59 Correct 63 ms 5620 KB Output is correct
60 Correct 59 ms 5616 KB Output is correct
61 Correct 63 ms 5744 KB Output is correct
62 Correct 79 ms 7788 KB Output is correct
63 Correct 79 ms 7664 KB Output is correct
64 Correct 78 ms 7788 KB Output is correct
65 Correct 81 ms 7788 KB Output is correct
66 Correct 79 ms 7916 KB Output is correct
67 Correct 56 ms 5616 KB Output is correct
68 Correct 59 ms 7788 KB Output is correct
69 Correct 61 ms 7788 KB Output is correct
70 Correct 52 ms 5616 KB Output is correct
71 Correct 167 ms 14944 KB Output is correct
72 Correct 163 ms 15076 KB Output is correct
73 Correct 161 ms 14952 KB Output is correct
74 Correct 172 ms 14948 KB Output is correct
75 Correct 165 ms 14992 KB Output is correct
76 Correct 157 ms 14940 KB Output is correct
77 Correct 159 ms 14944 KB Output is correct
78 Correct 154 ms 14944 KB Output is correct
79 Correct 158 ms 14952 KB Output is correct
80 Correct 155 ms 14952 KB Output is correct
81 Correct 0 ms 384 KB Output is correct
82 Correct 1 ms 512 KB Output is correct
83 Correct 1 ms 384 KB Output is correct
84 Correct 1 ms 384 KB Output is correct
85 Correct 2 ms 384 KB Output is correct
86 Correct 2 ms 512 KB Output is correct

Subtask #5
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 512 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 2 ms 512 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 512 KB Output is correct
21 Correct 2 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 70 ms 7788 KB Output is correct
24 Correct 61 ms 7788 KB Output is correct
25 Correct 56 ms 7788 KB Output is correct
26 Correct 57 ms 7788 KB Output is correct
27 Correct 49 ms 5620 KB Output is correct
28 Correct 57 ms 7788 KB Output is correct
29 Correct 58 ms 7776 KB Output is correct
30 Correct 58 ms 7788 KB Output is correct
31 Correct 59 ms 7788 KB Output is correct
32 Correct 83 ms 7792 KB Output is correct
33 Correct 83 ms 7788 KB Output is correct
34 Correct 89 ms 7788 KB Output is correct
35 Correct 85 ms 7788 KB Output is correct
36 Correct 83 ms 7788 KB Output is correct
37 Correct 54 ms 5616 KB Output is correct
38 Correct 54 ms 5616 KB Output is correct
39 Correct 52 ms 5744 KB Output is correct
40 Correct 54 ms 5744 KB Output is correct
41 Correct 58 ms 5772 KB Output is correct
42 Correct 51 ms 5616 KB Output is correct
43 Correct 172 ms 14964 KB Output is correct
44 Correct 176 ms 14944 KB Output is correct
45 Correct 173 ms 14944 KB Output is correct
46 Correct 176 ms 14944 KB Output is correct
47 Correct 172 ms 14944 KB Output is correct
48 Correct 161 ms 14948 KB Output is correct
49 Correct 154 ms 14940 KB Output is correct
50 Correct 154 ms 14944 KB Output is correct
51 Correct 155 ms 14948 KB Output is correct
52 Correct 157 ms 14948 KB Output is correct
53 Correct 85 ms 7964 KB Output is correct
54 Correct 52 ms 5616 KB Output is correct
55 Correct 51 ms 5616 KB Output is correct
56 Correct 54 ms 5616 KB Output is correct
57 Correct 58 ms 5616 KB Output is correct
58 Correct 59 ms 5616 KB Output is correct
59 Correct 63 ms 5620 KB Output is correct
60 Correct 59 ms 5616 KB Output is correct
61 Correct 63 ms 5744 KB Output is correct
62 Correct 79 ms 7788 KB Output is correct
63 Correct 79 ms 7664 KB Output is correct
64 Correct 78 ms 7788 KB Output is correct
65 Correct 81 ms 7788 KB Output is correct
66 Correct 79 ms 7916 KB Output is correct
67 Correct 56 ms 5616 KB Output is correct
68 Correct 59 ms 7788 KB Output is correct
69 Correct 61 ms 7788 KB Output is correct
70 Correct 52 ms 5616 KB Output is correct
71 Correct 167 ms 14944 KB Output is correct
72 Correct 163 ms 15076 KB Output is correct
73 Correct 161 ms 14952 KB Output is correct
74 Correct 172 ms 14948 KB Output is correct
75 Correct 165 ms 14992 KB Output is correct
76 Correct 157 ms 14940 KB Output is correct
77 Correct 159 ms 14944 KB Output is correct
78 Correct 154 ms 14944 KB Output is correct
79 Correct 158 ms 14952 KB Output is correct
80 Correct 155 ms 14952 KB Output is correct
81 Correct 84 ms 5616 KB Output is correct
82 Correct 82 ms 5616 KB Output is correct
83 Correct 78 ms 5616 KB Output is correct
84 Correct 82 ms 5616 KB Output is correct
85 Correct 81 ms 5704 KB Output is correct
86 Correct 89 ms 5616 KB Output is correct
87 Correct 91 ms 5616 KB Output is correct
88 Correct 88 ms 5616 KB Output is correct
89 Correct 99 ms 5616 KB Output is correct
90 Correct 90 ms 5616 KB Output is correct
91 Correct 66 ms 7788 KB Output is correct
92 Correct 66 ms 7788 KB Output is correct
93 Correct 67 ms 7788 KB Output is correct
94 Correct 68 ms 7788 KB Output is correct
95 Correct 67 ms 7788 KB Output is correct
96 Correct 66 ms 7788 KB Output is correct
97 Correct 66 ms 7788 KB Output is correct
98 Correct 66 ms 7788 KB Output is correct
99 Correct 66 ms 7788 KB Output is correct
100 Correct 69 ms 7788 KB Output is correct
101 Correct 0 ms 384 KB Output is correct
102 Correct 1 ms 512 KB Output is correct
103 Correct 1 ms 384 KB Output is correct
104 Correct 1 ms 384 KB Output is correct
105 Correct 2 ms 384 KB Output is correct
106 Correct 2 ms 512 KB Output is correct