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Submission #716178

# Submission time Handle Problem Language Result Execution time Memory
716178 2023-03-29T07:48:15 Z amunduzbaev Wish (LMIO19_noras) C++17
100 / 100
 226 ms 18176 KB 
#include "bits/stdc++.h"
using namespace std;
 
#define ar array
typedef long long ll;
#define int ll
 
const int N = 2e5 + 5;
const int MX = 1e9;
ll a[N], b[N], c[N], d[N];
int l_[N], r_[N];

signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	
	ll n, R; cin >> n >> R;
	for(int i=0;i<n;i++){
		cin >> a[i] >> b[i] >> c[i] >> d[i];
		c[i] -= a[i], d[i] -= b[i];
	}
	auto sq = [&](__int128 x) -> __int128{
		return x * x;
	};
	
	for(int i=0;i<n;i++){
		auto check = [&](__int128 t) -> __int128{
			int x = a[i] + c[i] * t, y = b[i] + d[i] * t;
			return sq(x) + sq(y);
		};
		
		int l = 0, r = MX;
		//~ if(c[i]) r = abs(MX / c[i]);
		//~ if(d[i]) r = min(r, abs(MX / d[i]));
		int mx = r;
		while(l + 2 < r){
			int m = (l + r) >> 1;
			if(check(m) <= check(m + 1)){
				r = m + 1;
			} else {
				l = m;
			}
		}
		l_[i] = r_[i] = -1;
		int T = l;
		if(check(T) > check(l + 1)) T = l + 1;
		if(check(T) > check(r)) T = r;
		
		if(check(T) > sq(R)) continue;
		
		l = 0, r = T;
		while(l < r){
			int m = (l + r) >> 1;
			if(check(m) <= sq(R)) r = m;
			else l = m + 1;
		}
		
		l_[i] = l;
		l = T, r = mx;
		while(l < r){
			int m = (l + r) >> 1;
			if(check(m) > sq(R)) r = m;
			else l = m + 1;
		}
		r_[i] = l;
	}
	
	vector<ar<int, 2>> tot;
	for(int i=0;i<n;i++){
		tot.push_back({l_[i], 1});
		tot.push_back({r_[i], -1});
	}
	
	sort(tot.begin(), tot.end());
	ll res = 0, cur = 0;
	for(auto [a, b] : tot){
		cur += b;
		res = max(res, cur);
	}
	
	cout<<res<<"\n";
}

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 64 ms 9184 KB Output is correct
24 Correct 76 ms 9188 KB Output is correct
25 Correct 85 ms 9176 KB Output is correct
26 Correct 74 ms 9272 KB Output is correct
27 Correct 61 ms 9256 KB Output is correct
28 Correct 66 ms 9268 KB Output is correct
29 Correct 66 ms 9236 KB Output is correct
30 Correct 75 ms 9188 KB Output is correct
31 Correct 70 ms 9264 KB Output is correct
32 Correct 84 ms 9284 KB Output is correct
33 Correct 83 ms 9168 KB Output is correct
34 Correct 90 ms 9200 KB Output is correct
35 Correct 94 ms 9272 KB Output is correct
36 Correct 84 ms 9232 KB Output is correct
37 Correct 64 ms 9176 KB Output is correct
38 Correct 71 ms 9172 KB Output is correct
39 Correct 64 ms 9280 KB Output is correct
40 Correct 83 ms 9264 KB Output is correct
41 Correct 68 ms 9252 KB Output is correct
42 Correct 70 ms 9296 KB Output is correct
43 Correct 188 ms 17980 KB Output is correct
44 Correct 204 ms 18008 KB Output is correct
45 Correct 186 ms 17972 KB Output is correct
46 Correct 187 ms 17952 KB Output is correct
47 Correct 200 ms 18064 KB Output is correct
48 Correct 170 ms 18056 KB Output is correct
49 Correct 175 ms 18076 KB Output is correct
50 Correct 176 ms 17944 KB Output is correct
51 Correct 180 ms 18072 KB Output is correct
52 Correct 166 ms 17984 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 2 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 64 ms 9184 KB Output is correct
24 Correct 76 ms 9188 KB Output is correct
25 Correct 85 ms 9176 KB Output is correct
26 Correct 74 ms 9272 KB Output is correct
27 Correct 61 ms 9256 KB Output is correct
28 Correct 66 ms 9268 KB Output is correct
29 Correct 66 ms 9236 KB Output is correct
30 Correct 75 ms 9188 KB Output is correct
31 Correct 70 ms 9264 KB Output is correct
32 Correct 84 ms 9284 KB Output is correct
33 Correct 83 ms 9168 KB Output is correct
34 Correct 90 ms 9200 KB Output is correct
35 Correct 94 ms 9272 KB Output is correct
36 Correct 84 ms 9232 KB Output is correct
37 Correct 64 ms 9176 KB Output is correct
38 Correct 71 ms 9172 KB Output is correct
39 Correct 64 ms 9280 KB Output is correct
40 Correct 83 ms 9264 KB Output is correct
41 Correct 68 ms 9252 KB Output is correct
42 Correct 70 ms 9296 KB Output is correct
43 Correct 188 ms 17980 KB Output is correct
44 Correct 204 ms 18008 KB Output is correct
45 Correct 186 ms 17972 KB Output is correct
46 Correct 187 ms 17952 KB Output is correct
47 Correct 200 ms 18064 KB Output is correct
48 Correct 170 ms 18056 KB Output is correct
49 Correct 175 ms 18076 KB Output is correct
50 Correct 176 ms 17944 KB Output is correct
51 Correct 180 ms 18072 KB Output is correct
52 Correct 166 ms 17984 KB Output is correct
53 Correct 0 ms 340 KB Output is correct
54 Correct 1 ms 468 KB Output is correct
55 Correct 2 ms 468 KB Output is correct
56 Correct 1 ms 468 KB Output is correct
57 Correct 2 ms 468 KB Output is correct
58 Correct 1 ms 468 KB Output is correct
59 Correct 74 ms 9356 KB Output is correct
60 Correct 64 ms 9156 KB Output is correct
61 Correct 65 ms 9248 KB Output is correct
62 Correct 66 ms 9184 KB Output is correct
63 Correct 75 ms 9160 KB Output is correct
64 Correct 78 ms 9160 KB Output is correct
65 Correct 80 ms 9176 KB Output is correct
66 Correct 75 ms 9264 KB Output is correct
67 Correct 75 ms 9184 KB Output is correct
68 Correct 93 ms 9284 KB Output is correct
69 Correct 114 ms 9268 KB Output is correct
70 Correct 93 ms 9292 KB Output is correct
71 Correct 92 ms 9224 KB Output is correct
72 Correct 85 ms 9264 KB Output is correct
73 Correct 70 ms 9264 KB Output is correct
74 Correct 73 ms 9284 KB Output is correct
75 Correct 72 ms 9180 KB Output is correct
76 Correct 66 ms 9176 KB Output is correct
77 Correct 193 ms 18128 KB Output is correct
78 Correct 197 ms 18176 KB Output is correct
79 Correct 185 ms 17948 KB Output is correct
80 Correct 206 ms 18056 KB Output is correct
81 Correct 226 ms 17968 KB Output is correct
82 Correct 177 ms 17980 KB Output is correct
83 Correct 185 ms 18028 KB Output is correct
84 Correct 182 ms 17984 KB Output is correct
85 Correct 175 ms 17988 KB Output is correct
86 Correct 194 ms 18044 KB Output is correct

Subtask #5
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 2 ms 468 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 64 ms 9184 KB Output is correct
24 Correct 76 ms 9188 KB Output is correct
25 Correct 85 ms 9176 KB Output is correct
26 Correct 74 ms 9272 KB Output is correct
27 Correct 61 ms 9256 KB Output is correct
28 Correct 66 ms 9268 KB Output is correct
29 Correct 66 ms 9236 KB Output is correct
30 Correct 75 ms 9188 KB Output is correct
31 Correct 70 ms 9264 KB Output is correct
32 Correct 84 ms 9284 KB Output is correct
33 Correct 83 ms 9168 KB Output is correct
34 Correct 90 ms 9200 KB Output is correct
35 Correct 94 ms 9272 KB Output is correct
36 Correct 84 ms 9232 KB Output is correct
37 Correct 64 ms 9176 KB Output is correct
38 Correct 71 ms 9172 KB Output is correct
39 Correct 64 ms 9280 KB Output is correct
40 Correct 83 ms 9264 KB Output is correct
41 Correct 68 ms 9252 KB Output is correct
42 Correct 70 ms 9296 KB Output is correct
43 Correct 188 ms 17980 KB Output is correct
44 Correct 204 ms 18008 KB Output is correct
45 Correct 186 ms 17972 KB Output is correct
46 Correct 187 ms 17952 KB Output is correct
47 Correct 200 ms 18064 KB Output is correct
48 Correct 170 ms 18056 KB Output is correct
49 Correct 175 ms 18076 KB Output is correct
50 Correct 176 ms 17944 KB Output is correct
51 Correct 180 ms 18072 KB Output is correct
52 Correct 166 ms 17984 KB Output is correct
53 Correct 74 ms 9356 KB Output is correct
54 Correct 64 ms 9156 KB Output is correct
55 Correct 65 ms 9248 KB Output is correct
56 Correct 66 ms 9184 KB Output is correct
57 Correct 75 ms 9160 KB Output is correct
58 Correct 78 ms 9160 KB Output is correct
59 Correct 80 ms 9176 KB Output is correct
60 Correct 75 ms 9264 KB Output is correct
61 Correct 75 ms 9184 KB Output is correct
62 Correct 93 ms 9284 KB Output is correct
63 Correct 114 ms 9268 KB Output is correct
64 Correct 93 ms 9292 KB Output is correct
65 Correct 92 ms 9224 KB Output is correct
66 Correct 85 ms 9264 KB Output is correct
67 Correct 70 ms 9264 KB Output is correct
68 Correct 73 ms 9284 KB Output is correct
69 Correct 72 ms 9180 KB Output is correct
70 Correct 66 ms 9176 KB Output is correct
71 Correct 193 ms 18128 KB Output is correct
72 Correct 197 ms 18176 KB Output is correct
73 Correct 185 ms 17948 KB Output is correct
74 Correct 206 ms 18056 KB Output is correct
75 Correct 226 ms 17968 KB Output is correct
76 Correct 177 ms 17980 KB Output is correct
77 Correct 185 ms 18028 KB Output is correct
78 Correct 182 ms 17984 KB Output is correct
79 Correct 175 ms 17988 KB Output is correct
80 Correct 194 ms 18044 KB Output is correct
81 Correct 0 ms 340 KB Output is correct
82 Correct 1 ms 468 KB Output is correct
83 Correct 2 ms 468 KB Output is correct
84 Correct 1 ms 468 KB Output is correct
85 Correct 2 ms 468 KB Output is correct
86 Correct 1 ms 468 KB Output is correct
87 Correct 94 ms 9236 KB Output is correct
88 Correct 85 ms 9160 KB Output is correct
89 Correct 89 ms 9156 KB Output is correct
90 Correct 86 ms 9176 KB Output is correct
91 Correct 105 ms 9216 KB Output is correct
92 Correct 98 ms 9140 KB Output is correct
93 Correct 95 ms 9200 KB Output is correct
94 Correct 96 ms 9208 KB Output is correct
95 Correct 97 ms 9232 KB Output is correct
96 Correct 95 ms 9196 KB Output is correct
97 Correct 71 ms 9208 KB Output is correct
98 Correct 69 ms 9244 KB Output is correct
99 Correct 73 ms 9224 KB Output is correct
100 Correct 93 ms 9220 KB Output is correct
101 Correct 70 ms 9284 KB Output is correct
102 Correct 73 ms 9232 KB Output is correct
103 Correct 73 ms 9292 KB Output is correct
104 Correct 73 ms 9300 KB Output is correct
105 Correct 80 ms 9200 KB Output is correct
106 Correct 70 ms 9248 KB Output is correct