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Submission #638413

# Submission time Handle Problem Language Result Execution time Memory
638413 2022-09-05T21:17:37 Z LeticiaFCS Wish (LMIO19_noras) C++17
93 / 100
 154 ms 14664 KB 
#include "bits/stdc++.h"
#define st first
#define nd second
using lint = int64_t;
constexpr int MOD = int(1e9) + 7;
constexpr int INF = 0x3f3f3f3f;
constexpr int NINF = 0xcfcfcfcf;
constexpr lint LINF = 0x3f3f3f3f3f3f3f3f;
const long double PI = acosl(-1.0);
// Returns -1 if a < b, 0 if a = b and 1 if a > b.
int cmp_double(double a, double b = 0, double eps = 1e-9) {
	return a + eps > b ? b + eps > a ? 0 : 1 : -1;
}
using namespace std;


using ld = long double;



bool inCircle(lint x, lint y, lint dx, lint dy, lint r, lint t){
	return ( (x + dx*t)*(x + dx*t) + (y + dy*t)*(y + dy*t) ) <= r*r; 
}
pair<bool, lint> firstInCircle(lint x, lint y, lint dx, lint dy, lint r, ld dbt){	
	lint s = lint(dbt) - 3;
	lint e = s + 6;
	for(lint t = s; t<=e; t++)
		if(inCircle(x,y,dx,dy,r, t)) return {true,t};
	return {false, -1};
} 
pair<bool, lint> lastInCircle(lint x, lint y, lint dx, lint dy, lint r, ld dbt){	
	lint s = lint(dbt) + 3;
	lint e = s - 6;
	for(lint t = s; t>=e; t--)
		if(inCircle(x,y,dx,dy,r, t)) return {true,t};
	return {false, -1};
}


vector<lint> intersection(lint x, lint y, lint dx, lint dy, lint r){
	vector<lint> answer;
	
	lint a = (dx*dx + dy*dy);
	lint b = (2ll*x*dx + 2ll*y*dy);
	lint c = -(r*r - x*x - y*y);
	lint delta = b*b - 4ll*a*c;
	
	if(delta < 0) return answer;
	if(delta == 0){
		ld t = ld(-b) / ld(2*a);
		auto left = firstInCircle(x,y,dx,dy,r,t);
		if(!left.first) return {};
		auto right = lastInCircle(x,y,dx,dy,r,t);
		if(!right.first) return {};
		answer = {left.second, right.second};
	}else{
		auto left = firstInCircle(x,y,dx,dy,r, ( ld(-b) - sqrtl((ld)delta))/ ld(2*a) );
		if(!left.first) return {};
		auto right = lastInCircle(x,y,dx,dy,r, (ld(-b) + sqrtl((ld)delta))/ ld(2*a) );
		if(!right.first) return {};		
		answer = {left.second, right.second};
	}
	if(answer[0] < 0) answer[0] = 0;
	if(answer[0] > answer[1]) answer = {};
	else if(answer.back() < 0) answer = {};
	
	return answer;
}

vector<lint> comprTime;

int main() {
	cin.tie(nullptr)->sync_with_stdio(false);
	comprTime = {-1};
	int n;
	lint r; cin>>n>>r;
	vector<vector<lint>> stars;
	for(int i=0; i<n; i++){
		lint x1, y1, x2, y2;
		cin>>x1>>y1>>x2>>y2;
		auto v = intersection(x1, y1, x2-x1, y2-y1, r);
		if(!v.empty()){
			stars.push_back(v);
			comprTime.push_back(v[0]);
			comprTime.push_back(v[1]);
		}
	}
	sort(comprTime.begin(), comprTime.end());
	comprTime.resize(distance(
		comprTime.begin(),
		unique(comprTime.begin(), comprTime.end())	
	));
	comprTime.push_back(comprTime.back()+1);
	
	vector<lint> pref(comprTime.size());
	for(auto star : stars){
		int l = lower_bound(comprTime.begin(),comprTime.end(), star[0]) - comprTime.begin();
		int r = upper_bound(comprTime.begin(),comprTime.end(), star[1]) - comprTime.begin();
		pref[l]++;
		pref[r]--;
	}
	for(int i=1; i<int(comprTime.size()); i++)
		pref[i] += pref[i-1];
	cout<<*max_element(pref.begin(), pref.end())<<"\n";
	

	return 0;
}
/*
[  ]Leu o problema certo???
[  ]Ver se precisa de long long
[  ]Viu o limite dos fors (é n? é m?)
[  ]Tamanho do vetor, será que é 2e5 em vez de 1e5??
[  ]Testar sample
[  ]Testar casos de  borda
[  ]1LL no 1LL << i
[  ]Testar mod (é 1e9+7, mesmo?, será que o mod não ficou negativo?)
*/

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 47 ms 6968 KB Output is correct
24 Correct 46 ms 7104 KB Output is correct
25 Correct 48 ms 7084 KB Output is correct
26 Correct 48 ms 7008 KB Output is correct
27 Correct 39 ms 3796 KB Output is correct
28 Correct 43 ms 6460 KB Output is correct
29 Correct 44 ms 6440 KB Output is correct
30 Correct 44 ms 6440 KB Output is correct
31 Correct 45 ms 6448 KB Output is correct
32 Correct 60 ms 7064 KB Output is correct
33 Correct 59 ms 7028 KB Output is correct
34 Correct 59 ms 7000 KB Output is correct
35 Correct 59 ms 7096 KB Output is correct
36 Correct 59 ms 7096 KB Output is correct
37 Correct 40 ms 4792 KB Output is correct
38 Correct 41 ms 4792 KB Output is correct
39 Correct 37 ms 3792 KB Output is correct
40 Correct 39 ms 4104 KB Output is correct
41 Correct 36 ms 3756 KB Output is correct
42 Correct 38 ms 3756 KB Output is correct
43 Correct 144 ms 14544 KB Output is correct
44 Correct 148 ms 14540 KB Output is correct
45 Correct 143 ms 14664 KB Output is correct
46 Correct 148 ms 14444 KB Output is correct
47 Correct 141 ms 14444 KB Output is correct
48 Correct 122 ms 13860 KB Output is correct
49 Correct 118 ms 13880 KB Output is correct
50 Correct 124 ms 13792 KB Output is correct
51 Correct 120 ms 13832 KB Output is correct
52 Correct 120 ms 13844 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 47 ms 6968 KB Output is correct
24 Correct 46 ms 7104 KB Output is correct
25 Correct 48 ms 7084 KB Output is correct
26 Correct 48 ms 7008 KB Output is correct
27 Correct 39 ms 3796 KB Output is correct
28 Correct 43 ms 6460 KB Output is correct
29 Correct 44 ms 6440 KB Output is correct
30 Correct 44 ms 6440 KB Output is correct
31 Correct 45 ms 6448 KB Output is correct
32 Correct 60 ms 7064 KB Output is correct
33 Correct 59 ms 7028 KB Output is correct
34 Correct 59 ms 7000 KB Output is correct
35 Correct 59 ms 7096 KB Output is correct
36 Correct 59 ms 7096 KB Output is correct
37 Correct 40 ms 4792 KB Output is correct
38 Correct 41 ms 4792 KB Output is correct
39 Correct 37 ms 3792 KB Output is correct
40 Correct 39 ms 4104 KB Output is correct
41 Correct 36 ms 3756 KB Output is correct
42 Correct 38 ms 3756 KB Output is correct
43 Correct 144 ms 14544 KB Output is correct
44 Correct 148 ms 14540 KB Output is correct
45 Correct 143 ms 14664 KB Output is correct
46 Correct 148 ms 14444 KB Output is correct
47 Correct 141 ms 14444 KB Output is correct
48 Correct 122 ms 13860 KB Output is correct
49 Correct 118 ms 13880 KB Output is correct
50 Correct 124 ms 13792 KB Output is correct
51 Correct 120 ms 13832 KB Output is correct
52 Correct 120 ms 13844 KB Output is correct
53 Correct 0 ms 212 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 47 ms 7024 KB Output is correct
60 Correct 44 ms 3508 KB Output is correct
61 Correct 51 ms 3820 KB Output is correct
62 Correct 43 ms 4156 KB Output is correct
63 Correct 55 ms 3640 KB Output is correct
64 Correct 52 ms 3464 KB Output is correct
65 Correct 52 ms 3508 KB Output is correct
66 Correct 53 ms 3784 KB Output is correct
67 Correct 50 ms 3432 KB Output is correct
68 Correct 64 ms 7080 KB Output is correct
69 Correct 63 ms 7084 KB Output is correct
70 Correct 64 ms 7040 KB Output is correct
71 Correct 63 ms 7028 KB Output is correct
72 Correct 65 ms 7128 KB Output is correct
73 Correct 44 ms 4544 KB Output is correct
74 Correct 45 ms 6412 KB Output is correct
75 Correct 45 ms 6388 KB Output is correct
76 Correct 40 ms 4012 KB Output is correct
77 Correct 139 ms 13072 KB Output is correct
78 Correct 138 ms 12952 KB Output is correct
79 Correct 141 ms 13104 KB Output is correct
80 Correct 154 ms 12932 KB Output is correct
81 Correct 144 ms 12948 KB Output is correct
82 Correct 125 ms 13828 KB Output is correct
83 Correct 129 ms 13840 KB Output is correct
84 Correct 131 ms 13816 KB Output is correct
85 Correct 124 ms 13872 KB Output is correct
86 Correct 129 ms 13956 KB Output is correct

Subtask #5
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 47 ms 6968 KB Output is correct
24 Correct 46 ms 7104 KB Output is correct
25 Correct 48 ms 7084 KB Output is correct
26 Correct 48 ms 7008 KB Output is correct
27 Correct 39 ms 3796 KB Output is correct
28 Correct 43 ms 6460 KB Output is correct
29 Correct 44 ms 6440 KB Output is correct
30 Correct 44 ms 6440 KB Output is correct
31 Correct 45 ms 6448 KB Output is correct
32 Correct 60 ms 7064 KB Output is correct
33 Correct 59 ms 7028 KB Output is correct
34 Correct 59 ms 7000 KB Output is correct
35 Correct 59 ms 7096 KB Output is correct
36 Correct 59 ms 7096 KB Output is correct
37 Correct 40 ms 4792 KB Output is correct
38 Correct 41 ms 4792 KB Output is correct
39 Correct 37 ms 3792 KB Output is correct
40 Correct 39 ms 4104 KB Output is correct
41 Correct 36 ms 3756 KB Output is correct
42 Correct 38 ms 3756 KB Output is correct
43 Correct 144 ms 14544 KB Output is correct
44 Correct 148 ms 14540 KB Output is correct
45 Correct 143 ms 14664 KB Output is correct
46 Correct 148 ms 14444 KB Output is correct
47 Correct 141 ms 14444 KB Output is correct
48 Correct 122 ms 13860 KB Output is correct
49 Correct 118 ms 13880 KB Output is correct
50 Correct 124 ms 13792 KB Output is correct
51 Correct 120 ms 13832 KB Output is correct
52 Correct 120 ms 13844 KB Output is correct
53 Correct 47 ms 7024 KB Output is correct
54 Correct 44 ms 3508 KB Output is correct
55 Correct 51 ms 3820 KB Output is correct
56 Correct 43 ms 4156 KB Output is correct
57 Correct 55 ms 3640 KB Output is correct
58 Correct 52 ms 3464 KB Output is correct
59 Correct 52 ms 3508 KB Output is correct
60 Correct 53 ms 3784 KB Output is correct
61 Correct 50 ms 3432 KB Output is correct
62 Correct 64 ms 7080 KB Output is correct
63 Correct 63 ms 7084 KB Output is correct
64 Correct 64 ms 7040 KB Output is correct
65 Correct 63 ms 7028 KB Output is correct
66 Correct 65 ms 7128 KB Output is correct
67 Correct 44 ms 4544 KB Output is correct
68 Correct 45 ms 6412 KB Output is correct
69 Correct 45 ms 6388 KB Output is correct
70 Correct 40 ms 4012 KB Output is correct
71 Correct 139 ms 13072 KB Output is correct
72 Correct 138 ms 12952 KB Output is correct
73 Correct 141 ms 13104 KB Output is correct
74 Correct 154 ms 12932 KB Output is correct
75 Correct 144 ms 12948 KB Output is correct
76 Correct 125 ms 13828 KB Output is correct
77 Correct 129 ms 13840 KB Output is correct
78 Correct 131 ms 13816 KB Output is correct
79 Correct 124 ms 13872 KB Output is correct
80 Correct 129 ms 13956 KB Output is correct
81 Correct 0 ms 212 KB Output is correct
82 Correct 1 ms 340 KB Output is correct
83 Correct 1 ms 340 KB Output is correct
84 Correct 1 ms 340 KB Output is correct
85 Correct 1 ms 340 KB Output is correct
86 Correct 1 ms 340 KB Output is correct
87 Incorrect 61 ms 3384 KB Output isn't correct
88 Halted 0 ms 0 KB -