QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#822233#9869. Horizon ScanningLeoGTL 83ms4304kbC++233.6kb2024-12-20 02:34:482024-12-20 02:34:48

Judging History

你现在查看的是最新测评结果

  • [2024-12-20 02:34:48]
  • 评测
  • 测评结果:TL
  • 用时:83ms
  • 内存:4304kb
  • [2024-12-20 02:34:48]
  • 提交

answer

#include <iostream>
#include <iomanip>
#include <vector>
#include <cmath>
#include <algorithm>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <set>
#include <queue>
#include <deque>
#include <numeric>

#define ll              long long 
#define all(v)          v.begin(),v.end()
#define ld              long double
#define pll             std::pair<ll,ll>
#define pi              std::pair<int,int>
#define vi              std::vector<int>
#define vll             std::vector<ll>
#define len(x)          (int)x.size()
#define vec(T)          std::vector<T>
#define PI              (ld)3.14159265358979323846

// overload << for pair
template <typename T>
std::ostream& operator<<(std::ostream& os, const std::pair<T, T>& pair) {
    std::cout << "(" << pair.first << ", " << pair.second << ")";
    return os;
}


// overload << for vec
template <typename T>
std::ostream& operator<<(std::ostream& os, const std::vector<T>& vec) {
    os << "[";
    for (size_t i = 0; i < vec.size(); ++i) {
        os << vec[i] << (i == vec.size() - 1 ? "\0" : ", ");
    }
    os << "]";
    return os;
}


// overload << for map and unordered_map Output
template<typename Map>
void printMap(const Map& m) {
    std::cout << '{';
    for (auto it = m.begin(); it != m.end(); it++) {
        std::cout << it -> first << ": " << it -> second << (std::next(it) == m.end() ? "\0" : ", ");
    }
    std::cout << "}";
}
template <typename K, typename V>
std::ostream& operator<<(std::ostream& os, const std::map<K, V>& m) {
    printMap(m);
    return os;
}
template <typename K, typename V>
std::ostream& operator<<(std::ostream& os, const std::unordered_map<K, V>& m) {
    printMap(m);
    return os;
}

// overload << for set and unordered_set Output
template<typename Set>
void printSet(const Set& s) {
    std::cout << '{';
    for (auto it = s.begin(); it != s.end(); it++) {
        std::cout << *it << (std::next(it) == s.end() ? "\0" : ", ");
    }
    std::cout << "}";
}
template<typename T>
std::ostream& operator<<(std::ostream& os, const std::set<T>& s) {
    printSet(s);
    return os;
}
template<typename T>
std::ostream& operator<<(std::ostream& os, const std::unordered_set<T>& s) {
    printSet(s);
    return os;
}

// General print function
template <typename T>
void print(const T& val) {
    std::cout << val << std::endl;
}

// Variadic template print function
template<typename T, typename... Args>
void print(const T& t, const Args&... args) {
    std::cout << t << ' ';
    print(args...);
    if (sizeof...(args) == 1) std::cout << '\n';

}


void solve(){  
    int n, k;
    std::cin >> n >> k;
    int x, y;
    vec(ld) the(n), tmp(n);
    for (int i = 0; i < n; i++){
        std::cin >> x >> y;
        the[i] = atan2(y, x);
        tmp[i] = the[i] + 2 * PI;
    }
    std::sort(all(the));
    std::sort(all(tmp));
    the.insert(the.end(), all(tmp));
    ld mx = 1e9;
    ll l = 0, r = 7 * mx;
    auto check = [&](ll m) {
        ld a = m / mx;
        for (int i = 0; i < n; i++) {
            int j = i;
            while (the[j] - the[i] <= a) {
                j++;
            }
            if (j - i <= k) return false;
        }
        return true;
    };
    while (l < r) {
        ll m = (l + r) / 2;
        if (check(m)) {
            r = m;
        } else {
            l = m + 1;
        }
    }
    std::cout << std::fixed << std::setprecision(9) << l / mx << '\n';

}
 



    
int main(){
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    int t = 1;
    std::cin >> t;
    while (t--) solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 4228kb

input:

5
1 1
0 1
8 2
1 0
1 1
0 1
-1 1
-1 0
-1 -1
0 -1
1 -1
4 2
-1 1
0 1
0 2
1 1
4 2
-1000000000 0
-998244353 1
998244353 1
1000000000 0
3 1
0 1
0 2
0 -1

output:

6.283185308
1.570796327
5.497787144
3.141592655
3.141592654

result:

ok 5 numbers

Test #2:

score: 0
Accepted
time: 82ms
memory: 4304kb

input:

10000
16 1
-10 -6
-5 -6
-4 9
-2 5
-2 10
1 -7
1 -5
1 6
3 1
4 -9
6 -10
6 -3
6 1
8 -5
8 -4
9 -4
17 4
-9 2
-8 -4
-8 -3
-8 -1
-6 -2
-6 -1
-6 8
-5 -8
-5 10
-4 8
-2 -8
4 -9
4 0
5 -3
8 -5
9 -2
10 10
10 6
-7 2
-4 6
-2 -7
-2 -1
-1 7
1 -9
1 8
3 -4
7 -4
9 -2
14 3
-9 10
-8 -10
-8 -8
-6 -7
-6 -5
-1 -7
-1 -2
0 -1
...

output:

1.692991498
2.574863437
4.652758268
2.772633108
5.742765807
4.857698992
3.419892313
2.812799963
6.283185308
6.283185308
5.117280767
6.146782703
3.842089024
2.342496717
3.463343208
6.283185308
5.961434753
3.324703471
5.262774929
5.672459343
1.673877936
1.114190855
2.408777552
6.283185308
5.355890090
...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 74ms
memory: 4172kb

input:

10000
19 7
-10 -6
-10 5
-3 0
-2 -5
-1 1
-1 6
0 3
0 7
1 9
3 -3
3 3
3 8
4 -1
5 8
6 -3
7 -5
7 4
8 10
9 -5
15 15
-9 -1
-8 6
-7 9
-6 -3
-4 -9
-1 -3
-1 8
1 -8
1 -7
3 -2
3 1
6 -9
7 -10
7 0
10 -9
10 3
-7 -1
-6 -2
-6 10
-5 2
-4 2
-3 -7
-2 -9
1 -3
3 4
7 7
15 4
-8 -8
-8 8
-7 0
-7 10
-6 -7
-5 6
-1 -3
-1 0
1 -2
...

output:

3.926990817
6.283185308
3.360261600
2.677945045
3.770388941
1.762584469
3.840252479
5.497787144
2.034443936
1.815774990
4.347187531
6.141288253
5.176036590
5.465540262
5.769039152
4.366253017
5.994755749
4.892242481
4.171969481
5.677640644
5.961434753
3.506794104
4.542975937
5.300391584
4.493720035
...

result:

ok 10000 numbers

Test #4:

score: 0
Accepted
time: 81ms
memory: 4204kb

input:

10000
18 12
-10 -4
-10 7
-8 -10
-7 -4
-6 5
-6 7
-5 0
-2 -7
-1 2
-1 10
0 2
1 1
3 -2
5 3
5 5
6 -3
8 -3
9 -2
10 1
-10 -9
-7 -7
-5 2
-4 -7
-3 1
3 1
3 3
5 -4
9 2
9 6
11 2
-8 1
-8 6
-7 -2
-6 0
-5 0
-1 -9
2 -8
3 5
6 0
10 -2
10 6
20 9
-10 -6
-10 6
-9 -8
-7 5
-6 -4
-4 -8
-2 -10
-2 -3
-2 4
-1 1
2 -5
3 -2
5 -6...

output:

4.909784541
1.975688114
1.986860833
3.926990817
3.697758884
6.283185308
6.141288253
6.193871315
5.805354253
6.252891548
5.728877811
3.090091843
1.892546882
5.634189749
2.896613991
6.283185308
2.914793806
6.147657594
1.951302704
5.564355308
5.497787144
3.098141759
4.390638426
3.909448757
2.641523911
...

result:

ok 10000 numbers

Test #5:

score: 0
Accepted
time: 82ms
memory: 4256kb

input:

10000
19 7
-10 -1
-8 2
-7 -10
-6 6
-4 7
-3 -5
-3 1
-3 8
-2 4
-1 -7
0 -8
0 9
1 -10
2 1
2 3
3 5
6 -4
10 2
10 3
14 10
-8 2
-6 0
-5 -10
-5 10
-4 7
-3 -6
-2 -6
1 4
1 6
2 -1
3 -6
8 -4
9 -10
10 -1
12 8
-9 5
-7 2
-4 2
0 -2
0 5
1 6
3 2
4 9
5 5
7 -6
9 -9
9 2
19 12
-10 -10
-10 2
-9 -6
-8 2
-7 -5
-6 8
-4 1
-1 -...

output:

3.239319561
5.275705242
5.300391584
5.387129923
5.888394188
4.117319357
1.138388552
1.515297822
6.147657594
6.158830313
2.574863437
5.940161367
1.608514280
4.609945127
5.071159651
4.234557926
3.790588213
4.037648039
3.916002249
1.063697823
4.280988254
5.857255651
3.407844703
5.421015253
2.956244704
...

result:

ok 10000 numbers

Test #6:

score: 0
Accepted
time: 81ms
memory: 4232kb

input:

10000
11 10
-10 -1
-9 4
-9 10
-7 -7
-5 4
-4 -1
-2 -10
0 -7
0 5
3 3
3 5
12 12
-9 6
-9 8
-3 -2
-2 2
0 -4
1 0
2 -3
3 5
5 -2
7 -1
10 3
10 9
14 12
-10 0
-9 -3
-9 1
-9 10
-8 -1
-8 7
-6 -1
-1 -6
-1 2
1 -1
3 -7
4 9
9 -3
10 1
10 4
-9 -3
-7 -1
-6 -10
-3 -2
-3 7
2 -2
2 3
5 2
6 9
9 6
10 2
-9 -9
-9 6
-8 3
-5 -9
...

output:

6.137875297
6.283185308
6.118036630
3.200348477
2.653756215
6.253782019
3.605240263
3.559816984
1.509146157
5.927549423
6.258799899
2.622446540
4.393833304
5.497787144
4.248741372
5.497787144
4.629247749
3.546484440
6.004885649
1.196751896
2.885441272
6.200044076
1.923786715
5.662935822
5.742765807
...

result:

ok 10000 numbers

Test #7:

score: 0
Accepted
time: 83ms
memory: 4244kb

input:

10000
14 1
-100 13
-96 -31
-82 -92
-77 -98
-50 1
-14 -57
-14 -31
-11 64
-8 75
9 68
25 100
54 -36
59 13
93 31
19 19
-76 -39
-60 95
-51 18
-39 11
-21 -46
-6 -94
-5 83
-3 -34
-3 72
0 -55
3 79
14 17
23 -88
32 37
50 70
61 -5
62 -43
84 -100
97 -50
13 7
-99 -63
-68 -87
-24 62
-20 -18
-2 -66
7 -49
13 -21
15...

output:

1.271309398
6.283185308
5.222514721
6.003065704
3.925872136
5.546528996
3.210314924
3.039930050
4.227531782
3.032019666
2.191215234
3.039008091
4.331327151
6.283185308
5.110002266
2.946314027
5.176036590
5.699183572
2.061179866
6.283185308
2.227889786
6.170774862
6.283185308
6.283185308
6.282339999
...

result:

ok 10000 numbers

Test #8:

score: -100
Time Limit Exceeded

input:

100
1413 755
-30 -30
-30 -28
-30 -27
-30 -26
-30 -21
-30 -12
-30 -10
-30 -8
-30 -5
-30 -1
-30 2
-30 4
-30 7
-30 9
-30 17
-30 19
-30 20
-30 23
-30 24
-30 30
-29 -29
-29 -23
-29 -15
-29 0
-29 4
-29 5
-29 9
-29 10
-29 11
-29 12
-29 14
-29 16
-29 17
-29 22
-29 27
-29 28
-28 -28
-28 -25
-28 -23
-28 -22
-...

output:


result: