oj.uz

Submission #770967

# Submission time Handle Problem Language Result Execution time Memory
770967 2023-07-02T08:23:23 Z dxz05 Wish (LMIO19_noras) C++17
100 / 100
 769 ms 12012 KB 
//#pragma GCC optimize("Ofast,O3,unroll-loops")
//#pragma GCC target("avx,avx2")

#include <bits/stdc++.h>

using namespace std;

#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define bpc(x) __builtin_popcount(x)
#define bpcll(x) __builtin_popcountll(x)
#define MP make_pair
//#define endl '\n'

mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());

typedef long long ll;
const int MOD = 1e9 + 7;
const int N = 2005;

#define loop for (int it = 0; it < 100; it++)
#define ld __int128

void solve(){
    int n; ll R;
    cin >> n >> R;

    R *= R;

    ld lim = 3e9;

    vector<ld> st, en;
    map<ld, int> mp;

    for (int i = 1; i <= n; i++){
        ll a, b, c, d;
        cin >> a >> b >> c >> d;

        auto dist = [&](ld t) -> ld{
            ld x = c - a, y = d - b;
            x = x * t + a;
            y = y * t + b;
            return x * x + y * y;
        };

        ld t = -1, dt = R + 5;

        ld l = 0, r = lim;
        loop{
            ld m1 = l + (r - l) / 3;
            ld m2 = r - (r - l) / 3;

            ld f1 = dist(m1), f2 = dist(m2);

            if (f1 < dt) t = m1, dt = f1;
            if (f2 < dt) t = m2, dt = f2;

            if (f1 < f2){
                r = m2;
            } else {
                l = m1;
            }

        }

        if (dt > R) continue;

        ld _st = t, _en = t;

        l = 0, r = t;
        loop{
            ld m = (l + r) / 2;
            if (dist(m) <= R){
                _st = min(_st, m);
                r = m;
            } else {
                l = m;
            }
        }

        l = t, r = lim;
        loop{
            ld m = (l + r) / 2;
            if (dist(m) <= R){
                _en = max(_en, m);
                l = m;
            } else {
                r = m;
            }
        }

        st.push_back(_st);
        en.push_back(_en);
        mp[_st] = mp[_en] = 0;
    }

    int z = 0;
    for (auto &now : mp) now.second = ++z;

    vector<int> cnt(z + 2, 0);
    for (int i = 0; i < (int) st.size(); i++){
        cnt[mp[st[i]]]++;
        cnt[mp[en[i]] + 1]--;
    }

    int ans = 0;
    for (int i = 1; i <= z + 1; i++){
        cnt[i] += cnt[i - 1];
        ans = max(ans, cnt[i]);
    }

    cout << ans << endl;

}

int main(){
    clock_t startTime = clock();
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);

#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif

    int test_cases = 1;
//    cin >> test_cases;

    for (int test = 1; test <= test_cases; test++){
        //cout << (solve() ? "YES" : "NO") << endl;
        solve();
    }

#ifdef LOCAL
    cerr << "Time: " << int((double) (clock() - startTime) / CLOCKS_PER_SEC * 1000) << " ms" << endl;
#endif

    return 0;
}

Compilation message

noras.cpp: In function 'int main()':
noras.cpp:117:13: warning: unused variable 'startTime' [-Wunused-variable]
  117 |     clock_t startTime = clock();
      |             ^~~~~~~~~

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 3 ms 340 KB Output is correct
6 Correct 3 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 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 4 ms 340 KB Output is correct
15 Correct 4 ms 340 KB Output is correct
16 Correct 4 ms 340 KB Output is correct
17 Correct 4 ms 340 KB Output is correct
18 Correct 4 ms 412 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 3 ms 340 KB Output is correct
22 Correct 3 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 1 ms 212 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 3 ms 340 KB Output is correct
6 Correct 3 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 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 4 ms 340 KB Output is correct
15 Correct 4 ms 340 KB Output is correct
16 Correct 4 ms 340 KB Output is correct
17 Correct 4 ms 340 KB Output is correct
18 Correct 4 ms 412 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 3 ms 340 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 289 ms 3540 KB Output is correct
24 Correct 296 ms 3536 KB Output is correct
25 Correct 290 ms 3516 KB Output is correct
26 Correct 325 ms 3540 KB Output is correct
27 Correct 235 ms 2076 KB Output is correct
28 Correct 281 ms 3588 KB Output is correct
29 Correct 285 ms 3624 KB Output is correct
30 Correct 284 ms 3632 KB Output is correct
31 Correct 300 ms 3556 KB Output is correct
32 Correct 332 ms 3568 KB Output is correct
33 Correct 330 ms 3640 KB Output is correct
34 Correct 326 ms 3644 KB Output is correct
35 Correct 328 ms 3616 KB Output is correct
36 Correct 329 ms 3592 KB Output is correct
37 Correct 285 ms 2568 KB Output is correct
38 Correct 266 ms 2528 KB Output is correct
39 Correct 249 ms 2076 KB Output is correct
40 Correct 262 ms 2200 KB Output is correct
41 Correct 248 ms 2044 KB Output is correct
42 Correct 249 ms 2044 KB Output is correct
43 Correct 759 ms 8280 KB Output is correct
44 Correct 757 ms 8784 KB Output is correct
45 Correct 769 ms 8796 KB Output is correct
46 Correct 742 ms 8904 KB Output is correct
47 Correct 744 ms 8736 KB Output is correct
48 Correct 664 ms 7364 KB Output is correct
49 Correct 661 ms 7344 KB Output is correct
50 Correct 663 ms 7368 KB Output is correct
51 Correct 662 ms 7464 KB Output is correct
52 Correct 709 ms 7408 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 1 ms 212 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 3 ms 340 KB Output is correct
6 Correct 3 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 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 4 ms 340 KB Output is correct
15 Correct 4 ms 340 KB Output is correct
16 Correct 4 ms 340 KB Output is correct
17 Correct 4 ms 340 KB Output is correct
18 Correct 4 ms 412 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 3 ms 340 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 3 ms 340 KB Output is correct
25 Correct 4 ms 340 KB Output is correct
26 Correct 3 ms 340 KB Output is correct
27 Correct 3 ms 364 KB Output is correct
28 Correct 3 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 1 ms 212 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 3 ms 340 KB Output is correct
6 Correct 3 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 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 4 ms 340 KB Output is correct
15 Correct 4 ms 340 KB Output is correct
16 Correct 4 ms 340 KB Output is correct
17 Correct 4 ms 340 KB Output is correct
18 Correct 4 ms 412 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 3 ms 340 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 289 ms 3540 KB Output is correct
24 Correct 296 ms 3536 KB Output is correct
25 Correct 290 ms 3516 KB Output is correct
26 Correct 325 ms 3540 KB Output is correct
27 Correct 235 ms 2076 KB Output is correct
28 Correct 281 ms 3588 KB Output is correct
29 Correct 285 ms 3624 KB Output is correct
30 Correct 284 ms 3632 KB Output is correct
31 Correct 300 ms 3556 KB Output is correct
32 Correct 332 ms 3568 KB Output is correct
33 Correct 330 ms 3640 KB Output is correct
34 Correct 326 ms 3644 KB Output is correct
35 Correct 328 ms 3616 KB Output is correct
36 Correct 329 ms 3592 KB Output is correct
37 Correct 285 ms 2568 KB Output is correct
38 Correct 266 ms 2528 KB Output is correct
39 Correct 249 ms 2076 KB Output is correct
40 Correct 262 ms 2200 KB Output is correct
41 Correct 248 ms 2044 KB Output is correct
42 Correct 249 ms 2044 KB Output is correct
43 Correct 759 ms 8280 KB Output is correct
44 Correct 757 ms 8784 KB Output is correct
45 Correct 769 ms 8796 KB Output is correct
46 Correct 742 ms 8904 KB Output is correct
47 Correct 744 ms 8736 KB Output is correct
48 Correct 664 ms 7364 KB Output is correct
49 Correct 661 ms 7344 KB Output is correct
50 Correct 663 ms 7368 KB Output is correct
51 Correct 662 ms 7464 KB Output is correct
52 Correct 709 ms 7408 KB Output is correct
53 Correct 0 ms 212 KB Output is correct
54 Correct 3 ms 340 KB Output is correct
55 Correct 4 ms 340 KB Output is correct
56 Correct 3 ms 340 KB Output is correct
57 Correct 3 ms 364 KB Output is correct
58 Correct 3 ms 340 KB Output is correct
59 Correct 296 ms 4216 KB Output is correct
60 Correct 239 ms 2592 KB Output is correct
61 Correct 243 ms 2696 KB Output is correct
62 Correct 249 ms 2884 KB Output is correct
63 Correct 259 ms 2988 KB Output is correct
64 Correct 258 ms 2988 KB Output is correct
65 Correct 261 ms 3072 KB Output is correct
66 Correct 259 ms 3052 KB Output is correct
67 Correct 296 ms 2976 KB Output is correct
68 Correct 339 ms 4324 KB Output is correct
69 Correct 335 ms 4228 KB Output is correct
70 Correct 370 ms 4280 KB Output is correct
71 Correct 338 ms 4320 KB Output is correct
72 Correct 357 ms 4444 KB Output is correct
73 Correct 261 ms 3024 KB Output is correct
74 Correct 281 ms 4336 KB Output is correct
75 Correct 282 ms 4268 KB Output is correct
76 Correct 263 ms 2840 KB Output is correct
77 Correct 698 ms 8656 KB Output is correct
78 Correct 707 ms 8612 KB Output is correct
79 Correct 701 ms 8664 KB Output is correct
80 Correct 705 ms 8636 KB Output is correct
81 Correct 701 ms 8672 KB Output is correct
82 Correct 667 ms 7348 KB Output is correct
83 Correct 678 ms 7388 KB Output is correct
84 Correct 717 ms 7332 KB Output is correct
85 Correct 670 ms 7320 KB Output is correct
86 Correct 720 ms 7444 KB Output is correct

Subtask #5
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 3 ms 340 KB Output is correct
5 Correct 3 ms 340 KB Output is correct
6 Correct 3 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 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 4 ms 340 KB Output is correct
15 Correct 4 ms 340 KB Output is correct
16 Correct 4 ms 340 KB Output is correct
17 Correct 4 ms 340 KB Output is correct
18 Correct 4 ms 412 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 3 ms 340 KB Output is correct
21 Correct 3 ms 340 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 289 ms 3540 KB Output is correct
24 Correct 296 ms 3536 KB Output is correct
25 Correct 290 ms 3516 KB Output is correct
26 Correct 325 ms 3540 KB Output is correct
27 Correct 235 ms 2076 KB Output is correct
28 Correct 281 ms 3588 KB Output is correct
29 Correct 285 ms 3624 KB Output is correct
30 Correct 284 ms 3632 KB Output is correct
31 Correct 300 ms 3556 KB Output is correct
32 Correct 332 ms 3568 KB Output is correct
33 Correct 330 ms 3640 KB Output is correct
34 Correct 326 ms 3644 KB Output is correct
35 Correct 328 ms 3616 KB Output is correct
36 Correct 329 ms 3592 KB Output is correct
37 Correct 285 ms 2568 KB Output is correct
38 Correct 266 ms 2528 KB Output is correct
39 Correct 249 ms 2076 KB Output is correct
40 Correct 262 ms 2200 KB Output is correct
41 Correct 248 ms 2044 KB Output is correct
42 Correct 249 ms 2044 KB Output is correct
43 Correct 759 ms 8280 KB Output is correct
44 Correct 757 ms 8784 KB Output is correct
45 Correct 769 ms 8796 KB Output is correct
46 Correct 742 ms 8904 KB Output is correct
47 Correct 744 ms 8736 KB Output is correct
48 Correct 664 ms 7364 KB Output is correct
49 Correct 661 ms 7344 KB Output is correct
50 Correct 663 ms 7368 KB Output is correct
51 Correct 662 ms 7464 KB Output is correct
52 Correct 709 ms 7408 KB Output is correct
53 Correct 296 ms 4216 KB Output is correct
54 Correct 239 ms 2592 KB Output is correct
55 Correct 243 ms 2696 KB Output is correct
56 Correct 249 ms 2884 KB Output is correct
57 Correct 259 ms 2988 KB Output is correct
58 Correct 258 ms 2988 KB Output is correct
59 Correct 261 ms 3072 KB Output is correct
60 Correct 259 ms 3052 KB Output is correct
61 Correct 296 ms 2976 KB Output is correct
62 Correct 339 ms 4324 KB Output is correct
63 Correct 335 ms 4228 KB Output is correct
64 Correct 370 ms 4280 KB Output is correct
65 Correct 338 ms 4320 KB Output is correct
66 Correct 357 ms 4444 KB Output is correct
67 Correct 261 ms 3024 KB Output is correct
68 Correct 281 ms 4336 KB Output is correct
69 Correct 282 ms 4268 KB Output is correct
70 Correct 263 ms 2840 KB Output is correct
71 Correct 698 ms 8656 KB Output is correct
72 Correct 707 ms 8612 KB Output is correct
73 Correct 701 ms 8664 KB Output is correct
74 Correct 705 ms 8636 KB Output is correct
75 Correct 701 ms 8672 KB Output is correct
76 Correct 667 ms 7348 KB Output is correct
77 Correct 678 ms 7388 KB Output is correct
78 Correct 717 ms 7332 KB Output is correct
79 Correct 670 ms 7320 KB Output is correct
80 Correct 720 ms 7444 KB Output is correct
81 Correct 0 ms 212 KB Output is correct
82 Correct 3 ms 340 KB Output is correct
83 Correct 4 ms 340 KB Output is correct
84 Correct 3 ms 340 KB Output is correct
85 Correct 3 ms 364 KB Output is correct
86 Correct 3 ms 340 KB Output is correct
87 Correct 300 ms 8832 KB Output is correct
88 Correct 300 ms 11020 KB Output is correct
89 Correct 294 ms 9496 KB Output is correct
90 Correct 281 ms 8192 KB Output is correct
91 Correct 293 ms 7236 KB Output is correct
92 Correct 297 ms 11836 KB Output is correct
93 Correct 308 ms 12012 KB Output is correct
94 Correct 304 ms 11932 KB Output is correct
95 Correct 296 ms 11736 KB Output is correct
96 Correct 332 ms 11764 KB Output is correct
97 Correct 298 ms 6020 KB Output is correct
98 Correct 306 ms 5872 KB Output is correct
99 Correct 298 ms 5804 KB Output is correct
100 Correct 295 ms 5820 KB Output is correct
101 Correct 296 ms 5748 KB Output is correct
102 Correct 298 ms 5804 KB Output is correct
103 Correct 301 ms 6064 KB Output is correct
104 Correct 302 ms 5820 KB Output is correct
105 Correct 303 ms 5832 KB Output is correct
106 Correct 300 ms 5800 KB Output is correct