oj.uz

Submission #253181

# Submission time Handle Problem Language Result Execution time Memory
253181 2020-07-27T11:06:34 Z Berted Wish (LMIO19_noras) C++14
100 / 100
 166 ms 5344 KB 
#include <iostream>
#include <algorithm>
#include <queue>
#include <vector>
#define ll long long
#define EL __int128_t
#define pii pair<ll, ll>
#define fst first
#define snd second
using namespace std;

const ll INF = 2e18;

inline ll fsqrt(EL val)
{
	ll L = 1, R = INF;
	while (L < R)
	{
		ll M = L + R >> 1;
		EL t = M; t = t * t;
		if (t <= val) {L = M + 1;}
		else {R = M;}
	}
	return L - 1;
}

ll flr(ll a, ll b)
{
	if (a < 0) return (a - b + 1) / b;
	else return a / b;
}

ll cil(ll a, ll b)
{
	if (a < 0) return a / b;
	else return (a + b - 1) / b;
}

inline string dts(EL x)
{
	string lol = ""; bool f = 0;
	if (x < 0) {f = 1; x = -x;}
	while (x)
	{
		lol = (char)(x % 10 + '0') + lol;
		x /= 10;
	}
	if (lol.size() == 0) lol.push_back('0');
	else if (f) lol = '-' + lol;
	return lol;
}

vector<pii> ivl;
priority_queue<int, vector<int>, greater<int>> pq;

int main()
{
	ios :: sync_with_stdio(0); cin.tie(0); cout.tie(0);
	int n; ll r;
	cin >> n >> r;
	for (int i = 0; i < n; i++)
	{
		ll x0, y0, vx, vy;
		cin >> x0 >> y0 >> vx >> vy;
		vx -= x0; vy -= y0;
		EL a = vx * vx + vy * vy, b = 2 * (vx * x0 + vy * y0), c = x0 * x0 + y0 * y0 - r * r;
		EL D = b * b - 4 * a * c;

		// cout << dts(a) << " " << dts(b) << " " << dts(c) << " " << dts(D) << "\n";
		ll L = 1, R = 0;
		if (D == 0) {L = cil(-b, 2 * a); R = flr(-b, 2 * a);}
		else if (D > 0)
		{
			ll res = fsqrt(D);
			L = cil(-b - res, 2 * a); R = flr(-b + res, 2 * a);
		}
		L = max(0LL, L);
		if (L <= R) {ivl.push_back({L, R});}
	} 
	sort(ivl.begin(), ivl.end());
	int res = 0;
	for (int i = 0; i < ivl.size(); i++)
	{
		while (pq.size() && pq.top() < ivl[i].fst) {pq.pop();}
		pq.push(ivl[i].snd);
		res = max(res, (int)pq.size());
	}
	cout << res << "\n";
	return 0;
}

Compilation message

noras.cpp: In function 'long long int fsqrt(__int128)':
noras.cpp:19:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   ll M = L + R >> 1;
          ~~^~~
noras.cpp: In function 'int main()':
noras.cpp:82:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < ivl.size(); i++)
                  ~~^~~~~~~~~~~~

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 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 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 256 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 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 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 256 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 43 ms 2796 KB Output is correct
24 Correct 44 ms 2744 KB Output is correct
25 Correct 45 ms 2796 KB Output is correct
26 Correct 44 ms 2804 KB Output is correct
27 Correct 46 ms 1524 KB Output is correct
28 Correct 47 ms 2544 KB Output is correct
29 Correct 49 ms 2544 KB Output is correct
30 Correct 55 ms 2540 KB Output is correct
31 Correct 49 ms 2552 KB Output is correct
32 Correct 72 ms 2544 KB Output is correct
33 Correct 71 ms 2544 KB Output is correct
34 Correct 73 ms 2544 KB Output is correct
35 Correct 70 ms 2544 KB Output is correct
36 Correct 72 ms 2544 KB Output is correct
37 Correct 49 ms 1776 KB Output is correct
38 Correct 49 ms 1776 KB Output is correct
39 Correct 45 ms 1524 KB Output is correct
40 Correct 44 ms 1648 KB Output is correct
41 Correct 45 ms 1524 KB Output is correct
42 Correct 45 ms 1532 KB Output is correct
43 Correct 148 ms 5216 KB Output is correct
44 Correct 139 ms 5220 KB Output is correct
45 Correct 138 ms 5344 KB Output is correct
46 Correct 140 ms 5344 KB Output is correct
47 Correct 141 ms 5216 KB Output is correct
48 Correct 140 ms 4520 KB Output is correct
49 Correct 145 ms 4584 KB Output is correct
50 Correct 143 ms 4588 KB Output is correct
51 Correct 139 ms 4584 KB Output is correct
52 Correct 143 ms 4584 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 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 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 256 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 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 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 256 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 43 ms 2796 KB Output is correct
24 Correct 44 ms 2744 KB Output is correct
25 Correct 45 ms 2796 KB Output is correct
26 Correct 44 ms 2804 KB Output is correct
27 Correct 46 ms 1524 KB Output is correct
28 Correct 47 ms 2544 KB Output is correct
29 Correct 49 ms 2544 KB Output is correct
30 Correct 55 ms 2540 KB Output is correct
31 Correct 49 ms 2552 KB Output is correct
32 Correct 72 ms 2544 KB Output is correct
33 Correct 71 ms 2544 KB Output is correct
34 Correct 73 ms 2544 KB Output is correct
35 Correct 70 ms 2544 KB Output is correct
36 Correct 72 ms 2544 KB Output is correct
37 Correct 49 ms 1776 KB Output is correct
38 Correct 49 ms 1776 KB Output is correct
39 Correct 45 ms 1524 KB Output is correct
40 Correct 44 ms 1648 KB Output is correct
41 Correct 45 ms 1524 KB Output is correct
42 Correct 45 ms 1532 KB Output is correct
43 Correct 148 ms 5216 KB Output is correct
44 Correct 139 ms 5220 KB Output is correct
45 Correct 138 ms 5344 KB Output is correct
46 Correct 140 ms 5344 KB Output is correct
47 Correct 141 ms 5216 KB Output is correct
48 Correct 140 ms 4520 KB Output is correct
49 Correct 145 ms 4584 KB Output is correct
50 Correct 143 ms 4588 KB Output is correct
51 Correct 139 ms 4584 KB Output is correct
52 Correct 143 ms 4584 KB Output is correct
53 Correct 47 ms 2836 KB Output is correct
54 Correct 60 ms 1524 KB Output is correct
55 Correct 62 ms 1652 KB Output is correct
56 Correct 60 ms 1524 KB Output is correct
57 Correct 66 ms 1524 KB Output is correct
58 Correct 60 ms 1524 KB Output is correct
59 Correct 65 ms 1524 KB Output is correct
60 Correct 71 ms 1524 KB Output is correct
61 Correct 66 ms 1524 KB Output is correct
62 Correct 77 ms 2544 KB Output is correct
63 Correct 78 ms 2540 KB Output is correct
64 Correct 75 ms 2540 KB Output is correct
65 Correct 80 ms 2552 KB Output is correct
66 Correct 74 ms 2544 KB Output is correct
67 Correct 46 ms 1648 KB Output is correct
68 Correct 51 ms 2508 KB Output is correct
69 Correct 57 ms 2492 KB Output is correct
70 Correct 54 ms 1616 KB Output is correct
71 Correct 158 ms 4832 KB Output is correct
72 Correct 163 ms 4748 KB Output is correct
73 Correct 138 ms 4836 KB Output is correct
74 Correct 136 ms 4788 KB Output is correct
75 Correct 137 ms 4704 KB Output is correct
76 Correct 152 ms 4580 KB Output is correct
77 Correct 166 ms 4556 KB Output is correct
78 Correct 152 ms 4584 KB Output is correct
79 Correct 163 ms 4760 KB Output is correct
80 Correct 160 ms 4584 KB Output is correct
81 Correct 1 ms 384 KB Output is correct
82 Correct 1 ms 384 KB Output is correct
83 Correct 1 ms 384 KB Output is correct
84 Correct 1 ms 384 KB Output is correct
85 Correct 1 ms 384 KB Output is correct
86 Correct 1 ms 384 KB Output is correct

Subtask #5
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 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 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 256 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 43 ms 2796 KB Output is correct
24 Correct 44 ms 2744 KB Output is correct
25 Correct 45 ms 2796 KB Output is correct
26 Correct 44 ms 2804 KB Output is correct
27 Correct 46 ms 1524 KB Output is correct
28 Correct 47 ms 2544 KB Output is correct
29 Correct 49 ms 2544 KB Output is correct
30 Correct 55 ms 2540 KB Output is correct
31 Correct 49 ms 2552 KB Output is correct
32 Correct 72 ms 2544 KB Output is correct
33 Correct 71 ms 2544 KB Output is correct
34 Correct 73 ms 2544 KB Output is correct
35 Correct 70 ms 2544 KB Output is correct
36 Correct 72 ms 2544 KB Output is correct
37 Correct 49 ms 1776 KB Output is correct
38 Correct 49 ms 1776 KB Output is correct
39 Correct 45 ms 1524 KB Output is correct
40 Correct 44 ms 1648 KB Output is correct
41 Correct 45 ms 1524 KB Output is correct
42 Correct 45 ms 1532 KB Output is correct
43 Correct 148 ms 5216 KB Output is correct
44 Correct 139 ms 5220 KB Output is correct
45 Correct 138 ms 5344 KB Output is correct
46 Correct 140 ms 5344 KB Output is correct
47 Correct 141 ms 5216 KB Output is correct
48 Correct 140 ms 4520 KB Output is correct
49 Correct 145 ms 4584 KB Output is correct
50 Correct 143 ms 4588 KB Output is correct
51 Correct 139 ms 4584 KB Output is correct
52 Correct 143 ms 4584 KB Output is correct
53 Correct 47 ms 2836 KB Output is correct
54 Correct 60 ms 1524 KB Output is correct
55 Correct 62 ms 1652 KB Output is correct
56 Correct 60 ms 1524 KB Output is correct
57 Correct 66 ms 1524 KB Output is correct
58 Correct 60 ms 1524 KB Output is correct
59 Correct 65 ms 1524 KB Output is correct
60 Correct 71 ms 1524 KB Output is correct
61 Correct 66 ms 1524 KB Output is correct
62 Correct 77 ms 2544 KB Output is correct
63 Correct 78 ms 2540 KB Output is correct
64 Correct 75 ms 2540 KB Output is correct
65 Correct 80 ms 2552 KB Output is correct
66 Correct 74 ms 2544 KB Output is correct
67 Correct 46 ms 1648 KB Output is correct
68 Correct 51 ms 2508 KB Output is correct
69 Correct 57 ms 2492 KB Output is correct
70 Correct 54 ms 1616 KB Output is correct
71 Correct 158 ms 4832 KB Output is correct
72 Correct 163 ms 4748 KB Output is correct
73 Correct 138 ms 4836 KB Output is correct
74 Correct 136 ms 4788 KB Output is correct
75 Correct 137 ms 4704 KB Output is correct
76 Correct 152 ms 4580 KB Output is correct
77 Correct 166 ms 4556 KB Output is correct
78 Correct 152 ms 4584 KB Output is correct
79 Correct 163 ms 4760 KB Output is correct
80 Correct 160 ms 4584 KB Output is correct
81 Correct 91 ms 1524 KB Output is correct
82 Correct 96 ms 1524 KB Output is correct
83 Correct 94 ms 1500 KB Output is correct
84 Correct 90 ms 1524 KB Output is correct
85 Correct 92 ms 1524 KB Output is correct
86 Correct 92 ms 1528 KB Output is correct
87 Correct 89 ms 1528 KB Output is correct
88 Correct 114 ms 1520 KB Output is correct
89 Correct 85 ms 1552 KB Output is correct
90 Correct 86 ms 1516 KB Output is correct
91 Correct 52 ms 2668 KB Output is correct
92 Correct 52 ms 2796 KB Output is correct
93 Correct 55 ms 2796 KB Output is correct
94 Correct 60 ms 2668 KB Output is correct
95 Correct 54 ms 2796 KB Output is correct
96 Correct 51 ms 2792 KB Output is correct
97 Correct 63 ms 2792 KB Output is correct
98 Correct 56 ms 2664 KB Output is correct
99 Correct 56 ms 2792 KB Output is correct
100 Correct 51 ms 2664 KB Output is correct
101 Correct 1 ms 384 KB Output is correct
102 Correct 1 ms 384 KB Output is correct
103 Correct 1 ms 384 KB Output is correct
104 Correct 1 ms 384 KB Output is correct
105 Correct 1 ms 384 KB Output is correct
106 Correct 1 ms 384 KB Output is correct