oj.uz

Submission #638411

# Submission time Handle Problem Language Result Execution time Memory
638411 2022-09-05T21:06:53 Z LeticiaFCS Wish (LMIO19_noras) C++17
93 / 100
 148 ms 14592 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) - 2;
	lint e = s + 4;
	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) + 2;
	lint e = s - 4;
	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 = (2*x*dx + 2*y*dy);
	lint c = -(r*r - x*x - y*y);
	lint delta = b*b - 4*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, r; cin>>n>>r;
	vector<vector<lint>> stars;
	for(int i=0; i<n; i++){
		int 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 48 ms 7152 KB Output is correct
24 Correct 49 ms 6992 KB Output is correct
25 Correct 48 ms 7036 KB Output is correct
26 Correct 47 ms 7088 KB Output is correct
27 Correct 40 ms 3776 KB Output is correct
28 Correct 46 ms 6488 KB Output is correct
29 Correct 46 ms 6460 KB Output is correct
30 Correct 46 ms 6452 KB Output is correct
31 Correct 49 ms 6448 KB Output is correct
32 Correct 63 ms 6980 KB Output is correct
33 Correct 61 ms 7100 KB Output is correct
34 Correct 62 ms 7088 KB Output is correct
35 Correct 62 ms 7076 KB Output is correct
36 Correct 62 ms 7088 KB Output is correct
37 Correct 42 ms 4788 KB Output is correct
38 Correct 42 ms 4840 KB Output is correct
39 Correct 39 ms 3756 KB Output is correct
40 Correct 40 ms 4068 KB Output is correct
41 Correct 40 ms 3744 KB Output is correct
42 Correct 40 ms 3752 KB Output is correct
43 Correct 143 ms 14488 KB Output is correct
44 Correct 147 ms 14488 KB Output is correct
45 Correct 138 ms 14516 KB Output is correct
46 Correct 148 ms 14592 KB Output is correct
47 Correct 140 ms 14492 KB Output is correct
48 Correct 124 ms 13976 KB Output is correct
49 Correct 125 ms 13888 KB Output is correct
50 Correct 124 ms 13748 KB Output is correct
51 Correct 122 ms 13752 KB Output is correct
52 Correct 123 ms 13772 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 48 ms 7152 KB Output is correct
24 Correct 49 ms 6992 KB Output is correct
25 Correct 48 ms 7036 KB Output is correct
26 Correct 47 ms 7088 KB Output is correct
27 Correct 40 ms 3776 KB Output is correct
28 Correct 46 ms 6488 KB Output is correct
29 Correct 46 ms 6460 KB Output is correct
30 Correct 46 ms 6452 KB Output is correct
31 Correct 49 ms 6448 KB Output is correct
32 Correct 63 ms 6980 KB Output is correct
33 Correct 61 ms 7100 KB Output is correct
34 Correct 62 ms 7088 KB Output is correct
35 Correct 62 ms 7076 KB Output is correct
36 Correct 62 ms 7088 KB Output is correct
37 Correct 42 ms 4788 KB Output is correct
38 Correct 42 ms 4840 KB Output is correct
39 Correct 39 ms 3756 KB Output is correct
40 Correct 40 ms 4068 KB Output is correct
41 Correct 40 ms 3744 KB Output is correct
42 Correct 40 ms 3752 KB Output is correct
43 Correct 143 ms 14488 KB Output is correct
44 Correct 147 ms 14488 KB Output is correct
45 Correct 138 ms 14516 KB Output is correct
46 Correct 148 ms 14592 KB Output is correct
47 Correct 140 ms 14492 KB Output is correct
48 Correct 124 ms 13976 KB Output is correct
49 Correct 125 ms 13888 KB Output is correct
50 Correct 124 ms 13748 KB Output is correct
51 Correct 122 ms 13752 KB Output is correct
52 Correct 123 ms 13772 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 7052 KB Output is correct
60 Correct 46 ms 3592 KB Output is correct
61 Correct 44 ms 3748 KB Output is correct
62 Correct 43 ms 4256 KB Output is correct
63 Correct 50 ms 3584 KB Output is correct
64 Correct 50 ms 3392 KB Output is correct
65 Correct 51 ms 3532 KB Output is correct
66 Correct 51 ms 3584 KB Output is correct
67 Correct 56 ms 3508 KB Output is correct
68 Correct 63 ms 7100 KB Output is correct
69 Correct 62 ms 6992 KB Output is correct
70 Correct 67 ms 7156 KB Output is correct
71 Correct 67 ms 7104 KB Output is correct
72 Correct 65 ms 7176 KB Output is correct
73 Correct 42 ms 4456 KB Output is correct
74 Correct 44 ms 6448 KB Output is correct
75 Correct 45 ms 6368 KB Output is correct
76 Correct 46 ms 3996 KB Output is correct
77 Correct 132 ms 13108 KB Output is correct
78 Correct 133 ms 12992 KB Output is correct
79 Correct 130 ms 12920 KB Output is correct
80 Correct 130 ms 12960 KB Output is correct
81 Correct 136 ms 13104 KB Output is correct
82 Correct 126 ms 13864 KB Output is correct
83 Correct 125 ms 13844 KB Output is correct
84 Correct 125 ms 13896 KB Output is correct
85 Correct 125 ms 13864 KB Output is correct
86 Correct 130 ms 13872 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 48 ms 7152 KB Output is correct
24 Correct 49 ms 6992 KB Output is correct
25 Correct 48 ms 7036 KB Output is correct
26 Correct 47 ms 7088 KB Output is correct
27 Correct 40 ms 3776 KB Output is correct
28 Correct 46 ms 6488 KB Output is correct
29 Correct 46 ms 6460 KB Output is correct
30 Correct 46 ms 6452 KB Output is correct
31 Correct 49 ms 6448 KB Output is correct
32 Correct 63 ms 6980 KB Output is correct
33 Correct 61 ms 7100 KB Output is correct
34 Correct 62 ms 7088 KB Output is correct
35 Correct 62 ms 7076 KB Output is correct
36 Correct 62 ms 7088 KB Output is correct
37 Correct 42 ms 4788 KB Output is correct
38 Correct 42 ms 4840 KB Output is correct
39 Correct 39 ms 3756 KB Output is correct
40 Correct 40 ms 4068 KB Output is correct
41 Correct 40 ms 3744 KB Output is correct
42 Correct 40 ms 3752 KB Output is correct
43 Correct 143 ms 14488 KB Output is correct
44 Correct 147 ms 14488 KB Output is correct
45 Correct 138 ms 14516 KB Output is correct
46 Correct 148 ms 14592 KB Output is correct
47 Correct 140 ms 14492 KB Output is correct
48 Correct 124 ms 13976 KB Output is correct
49 Correct 125 ms 13888 KB Output is correct
50 Correct 124 ms 13748 KB Output is correct
51 Correct 122 ms 13752 KB Output is correct
52 Correct 123 ms 13772 KB Output is correct
53 Correct 47 ms 7052 KB Output is correct
54 Correct 46 ms 3592 KB Output is correct
55 Correct 44 ms 3748 KB Output is correct
56 Correct 43 ms 4256 KB Output is correct
57 Correct 50 ms 3584 KB Output is correct
58 Correct 50 ms 3392 KB Output is correct
59 Correct 51 ms 3532 KB Output is correct
60 Correct 51 ms 3584 KB Output is correct
61 Correct 56 ms 3508 KB Output is correct
62 Correct 63 ms 7100 KB Output is correct
63 Correct 62 ms 6992 KB Output is correct
64 Correct 67 ms 7156 KB Output is correct
65 Correct 67 ms 7104 KB Output is correct
66 Correct 65 ms 7176 KB Output is correct
67 Correct 42 ms 4456 KB Output is correct
68 Correct 44 ms 6448 KB Output is correct
69 Correct 45 ms 6368 KB Output is correct
70 Correct 46 ms 3996 KB Output is correct
71 Correct 132 ms 13108 KB Output is correct
72 Correct 133 ms 12992 KB Output is correct
73 Correct 130 ms 12920 KB Output is correct
74 Correct 130 ms 12960 KB Output is correct
75 Correct 136 ms 13104 KB Output is correct
76 Correct 126 ms 13864 KB Output is correct
77 Correct 125 ms 13844 KB Output is correct
78 Correct 125 ms 13896 KB Output is correct
79 Correct 125 ms 13864 KB Output is correct
80 Correct 130 ms 13872 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 58 ms 3440 KB Output isn't correct
88 Halted 0 ms 0 KB -