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Submission #638412

# Submission time Handle Problem Language Result Execution time Memory
638412 2022-09-05T21:11:07 Z LeticiaFCS Wish (LMIO19_noras) C++17
93 / 100
 154 ms 14568 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(int 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(int 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] > answer[1]) answer = {};
	if(answer.back() < 0) answer = {};
	else if(answer[0] < 0) answer[0] = 0;
	
	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 46 ms 7028 KB Output is correct
24 Correct 45 ms 7096 KB Output is correct
25 Correct 47 ms 6984 KB Output is correct
26 Correct 49 ms 7080 KB Output is correct
27 Correct 39 ms 3848 KB Output is correct
28 Correct 46 ms 6444 KB Output is correct
29 Correct 45 ms 6420 KB Output is correct
30 Correct 46 ms 6404 KB Output is correct
31 Correct 45 ms 6440 KB Output is correct
32 Correct 61 ms 7096 KB Output is correct
33 Correct 60 ms 7080 KB Output is correct
34 Correct 61 ms 7028 KB Output is correct
35 Correct 62 ms 7040 KB Output is correct
36 Correct 63 ms 7084 KB Output is correct
37 Correct 42 ms 4800 KB Output is correct
38 Correct 41 ms 4852 KB Output is correct
39 Correct 38 ms 3752 KB Output is correct
40 Correct 38 ms 4040 KB Output is correct
41 Correct 38 ms 3832 KB Output is correct
42 Correct 40 ms 3752 KB Output is correct
43 Correct 146 ms 14568 KB Output is correct
44 Correct 154 ms 14440 KB Output is correct
45 Correct 143 ms 14540 KB Output is correct
46 Correct 141 ms 14556 KB Output is correct
47 Correct 140 ms 14528 KB Output is correct
48 Correct 121 ms 13744 KB Output is correct
49 Correct 122 ms 13748 KB Output is correct
50 Correct 123 ms 13848 KB Output is correct
51 Correct 123 ms 13956 KB Output is correct
52 Correct 126 ms 13780 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 46 ms 7028 KB Output is correct
24 Correct 45 ms 7096 KB Output is correct
25 Correct 47 ms 6984 KB Output is correct
26 Correct 49 ms 7080 KB Output is correct
27 Correct 39 ms 3848 KB Output is correct
28 Correct 46 ms 6444 KB Output is correct
29 Correct 45 ms 6420 KB Output is correct
30 Correct 46 ms 6404 KB Output is correct
31 Correct 45 ms 6440 KB Output is correct
32 Correct 61 ms 7096 KB Output is correct
33 Correct 60 ms 7080 KB Output is correct
34 Correct 61 ms 7028 KB Output is correct
35 Correct 62 ms 7040 KB Output is correct
36 Correct 63 ms 7084 KB Output is correct
37 Correct 42 ms 4800 KB Output is correct
38 Correct 41 ms 4852 KB Output is correct
39 Correct 38 ms 3752 KB Output is correct
40 Correct 38 ms 4040 KB Output is correct
41 Correct 38 ms 3832 KB Output is correct
42 Correct 40 ms 3752 KB Output is correct
43 Correct 146 ms 14568 KB Output is correct
44 Correct 154 ms 14440 KB Output is correct
45 Correct 143 ms 14540 KB Output is correct
46 Correct 141 ms 14556 KB Output is correct
47 Correct 140 ms 14528 KB Output is correct
48 Correct 121 ms 13744 KB Output is correct
49 Correct 122 ms 13748 KB Output is correct
50 Correct 123 ms 13848 KB Output is correct
51 Correct 123 ms 13956 KB Output is correct
52 Correct 126 ms 13780 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 51 ms 7048 KB Output is correct
60 Correct 44 ms 3556 KB Output is correct
61 Correct 44 ms 3768 KB Output is correct
62 Correct 47 ms 4252 KB Output is correct
63 Correct 53 ms 3616 KB Output is correct
64 Correct 49 ms 3344 KB Output is correct
65 Correct 50 ms 3508 KB Output is correct
66 Correct 52 ms 3636 KB Output is correct
67 Correct 52 ms 3452 KB Output is correct
68 Correct 65 ms 7084 KB Output is correct
69 Correct 65 ms 6976 KB Output is correct
70 Correct 65 ms 7168 KB Output is correct
71 Correct 67 ms 7020 KB Output is correct
72 Correct 64 ms 6980 KB Output is correct
73 Correct 41 ms 4536 KB Output is correct
74 Correct 44 ms 6484 KB Output is correct
75 Correct 45 ms 6484 KB Output is correct
76 Correct 41 ms 4024 KB Output is correct
77 Correct 135 ms 13096 KB Output is correct
78 Correct 139 ms 12948 KB Output is correct
79 Correct 133 ms 12960 KB Output is correct
80 Correct 134 ms 13048 KB Output is correct
81 Correct 135 ms 13084 KB Output is correct
82 Correct 134 ms 13768 KB Output is correct
83 Correct 129 ms 13808 KB Output is correct
84 Correct 126 ms 13848 KB Output is correct
85 Correct 130 ms 13876 KB Output is correct
86 Correct 128 ms 13884 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 46 ms 7028 KB Output is correct
24 Correct 45 ms 7096 KB Output is correct
25 Correct 47 ms 6984 KB Output is correct
26 Correct 49 ms 7080 KB Output is correct
27 Correct 39 ms 3848 KB Output is correct
28 Correct 46 ms 6444 KB Output is correct
29 Correct 45 ms 6420 KB Output is correct
30 Correct 46 ms 6404 KB Output is correct
31 Correct 45 ms 6440 KB Output is correct
32 Correct 61 ms 7096 KB Output is correct
33 Correct 60 ms 7080 KB Output is correct
34 Correct 61 ms 7028 KB Output is correct
35 Correct 62 ms 7040 KB Output is correct
36 Correct 63 ms 7084 KB Output is correct
37 Correct 42 ms 4800 KB Output is correct
38 Correct 41 ms 4852 KB Output is correct
39 Correct 38 ms 3752 KB Output is correct
40 Correct 38 ms 4040 KB Output is correct
41 Correct 38 ms 3832 KB Output is correct
42 Correct 40 ms 3752 KB Output is correct
43 Correct 146 ms 14568 KB Output is correct
44 Correct 154 ms 14440 KB Output is correct
45 Correct 143 ms 14540 KB Output is correct
46 Correct 141 ms 14556 KB Output is correct
47 Correct 140 ms 14528 KB Output is correct
48 Correct 121 ms 13744 KB Output is correct
49 Correct 122 ms 13748 KB Output is correct
50 Correct 123 ms 13848 KB Output is correct
51 Correct 123 ms 13956 KB Output is correct
52 Correct 126 ms 13780 KB Output is correct
53 Correct 51 ms 7048 KB Output is correct
54 Correct 44 ms 3556 KB Output is correct
55 Correct 44 ms 3768 KB Output is correct
56 Correct 47 ms 4252 KB Output is correct
57 Correct 53 ms 3616 KB Output is correct
58 Correct 49 ms 3344 KB Output is correct
59 Correct 50 ms 3508 KB Output is correct
60 Correct 52 ms 3636 KB Output is correct
61 Correct 52 ms 3452 KB Output is correct
62 Correct 65 ms 7084 KB Output is correct
63 Correct 65 ms 6976 KB Output is correct
64 Correct 65 ms 7168 KB Output is correct
65 Correct 67 ms 7020 KB Output is correct
66 Correct 64 ms 6980 KB Output is correct
67 Correct 41 ms 4536 KB Output is correct
68 Correct 44 ms 6484 KB Output is correct
69 Correct 45 ms 6484 KB Output is correct
70 Correct 41 ms 4024 KB Output is correct
71 Correct 135 ms 13096 KB Output is correct
72 Correct 139 ms 12948 KB Output is correct
73 Correct 133 ms 12960 KB Output is correct
74 Correct 134 ms 13048 KB Output is correct
75 Correct 135 ms 13084 KB Output is correct
76 Correct 134 ms 13768 KB Output is correct
77 Correct 129 ms 13808 KB Output is correct
78 Correct 126 ms 13848 KB Output is correct
79 Correct 130 ms 13876 KB Output is correct
80 Correct 128 ms 13884 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 57 ms 3412 KB Output isn't correct
88 Halted 0 ms 0 KB -