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QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#76947#5505. Great ChaseCrazyMurky#AC ✓1284ms33016kbC++204.4kb2023-02-12 19:09:352023-02-12 19:09:36

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-02-12 19:09:36]
  • 评测
  • 测评结果:AC
  • 用时:1284ms
  • 内存:33016kb
  • [2023-02-12 19:09:35]
  • 提交

answer

#define _CRT_SECURE_NO_WARNINGS
#pragma GCC optimize ("unroll-loops")
#pragma GCC optimization("O3")
#include <iostream>
#include <vector>
#include <string>
#include <set>
#include <map>
#include <iomanip>
#include <algorithm>
#include <iterator>
#include <stack>
#include <queue>
#include <unordered_set>
#include <unordered_map>
#include <stdio.h>
#include <math.h>
#include <bitset>
#include <numeric>
#include <deque>
#include <list>
#include <bitset>
#include <array>
#include <tuple>
#include <sstream>
#include <functional>
#include <cmath>
#include <random>
#include <cstring>
#include <fstream>
#include <stdexcept>
using namespace std;

#define pb push_back
#define mp make_pair
#define ifor(a, b) for(int i = a; i < b; ++i)
#define jfor(a, b) for(int j = a; j < b; ++j)
#define kfor(a, b) for(int k = a; k < b; ++k)
#define irof(a, b) for(int i = b - 1; i >= a; --i)
#define jrof(a, b) for(int j = b - 1; j >= a; --j)
#define krof(a, b) for(int k = b - 1; k >= a; --k)
#define all(a) (a).begin(), (a).end()

typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;

const ll MOD = 998244353;

ll mmod(ll x, ll y = MOD) {
    if (x >= 0)
        return x % y;
    return (y - ((-x) % y)) % y;
}


template <ll T = MOD>
struct Res {
    ll value;
    Res() : value(0) {}
    Res(ll val) : value(mmod(val, T)) {}
    Res& operator=(ll val) {
        value = mmod(val, T);
        return *this;
    }
    Res operator+(const Res<T>& other) const {
        return Res(mmod(value + other.value, T));
    }
    Res operator-(const Res<T>& other) const {
        return Res(mmod(value - other.value, T));
    }
    Res operator*(const Res<T>& other) const {
        return Res(mmod(value * other.value, T));
    }
    Res operator+(const Res<T>&& other) const {
        return Res(mmod(value + other.value, T));
    }
    void operator+=(const Res<T>& other) {
        value = mmod(value + other.value, T);
    }
    void operator-=(const Res<T>& other) {
        value = mmod(value - other.value, T);
    }
    void operator*=(const Res<T>& other) {
        value = mmod(value * other.value, T);
    }
    Res operator-(const Res<T>&& other) const {
        return Res(mmod(value - other.value, T));
    }
    Res operator*(const Res<T>&& other) const {
        return Res(mmod(value * other.value, T));
    }
    Res pow(ll degree) const {
        degree = degree % (T - 1);
        vector<Res<T>> deg_vals(33);
        deg_vals[0] = *this;
        ifor(1, 33) {
            deg_vals[i] = deg_vals[i - 1] * deg_vals[i - 1];
        }
        Res result = 1;
        for (int i = 0; degree > 0; ++i) {
            if (degree % 2)
                result = result * deg_vals[i];
            degree /= 2;
        }
        return result;
    }
    Res reverse() const {
        return pow(T - 2);
    }
    friend ostream& operator<<(ostream& stream, const Res& res) {
        return stream << res.value;
    }
};




#define Yes cout << "Yes\n"
#define No cout << "No\n"
#define YES cout << "YES\n"
#define NO cout << "NO\n"
#define yes cout << "yes\n"
#define no cout << "no\n"

void solve() {
    int n;
    cin >> n;
    long double v; cin >> v;
    vector<pair<long double, long double>> left, right;
    ifor(0, n) {
        long double x; cin >> x;
        long double w; cin >> w;
        if (x < 0) {
            left.push_back(mp(x, w));
        }
        else {
            right.push_back(mp(x, w));
        }
    }
    auto check = [&](long double t) {
        long double maxpos = -1000000000000, minpos = 1000000000000;
        for (auto& [p, w] : left) {
            maxpos = max(maxpos, p + w * t);
        }
        for (auto& [p, w] : right) {
            minpos = min(minpos, p - w * t);
        }
        if (minpos > maxpos) {
            return false;
        }
        return true;
    };
    long double l = 0, r = (right[0].first - left[0].first)/(right[0].second + left[0].second);
    for (int i = 0; i < 100; ++i) {
        long double m = (r + l) / 2;
        if (check(m)) {
            r = m;
        }
        else {
            l = m;
        }
    }
    cout << fixed;
    cout << setprecision(9) << r * v << "\n";
}

int main() {
    ios::sync_with_stdio(false); cin.tie(0);
    int t = 1;
    cin >> t;
    while (t--) {
        solve();
    }
    return 0;
}



詳細信息

Test #1:

score: 100
Accepted
time: 2ms
memory: 3696kb

input:

3
4 9
10 2
-7 2
-6 1
7 1
2 8
-1 7
1 6
2 3
-1000000000000 1
1000000000000 1

output:

38.250000000
1.230769231
3000000000000.000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 1076ms
memory: 3680kb

input:

10000
200 997007
405524182320 754760
686939601648 419804
687047488212 715566
1446157132 4594
-670522037 4673
763634629282 253755
424307411732 275041
1582708381 8473
-667425982 4622
-522841486 1427
702430907988 460271
1405423646 1060
1497754648 6227
883363410675 723547
56899800372 46435
-810216390 64...

output:

145405766328.349110037
16414958969.727281192
5202715639.835183900
321977234.156325869
45384199210.221683972
183885744.769230769
1708925225.230472358
89786664971.557942636
13924365606.287388795
412975327.555555556
965508404.512101493
4703493416.288376524
352961619.381043819
5575125771.798797157
34119...

result:

ok 10000 numbers

Test #3:

score: 0
Accepted
time: 1284ms
memory: 5188kb

input:

93
15435 968117
4196666 184
-5069875 255
-9782648 980
-1978138 176
9333323 764
-4323540 12
-8442049 319
-5371878 137
2881306 10
-4050629 133
-4659099 59
-5189169 320
-2256647 99
-3686648 37
1059255 33
-223142 20
8040933 408
8407764 705
694547 38
-7913614 746
-3573355 132
5919585 189
-3756662 94
-795...

output:

189662921.363636364
197971181.333333333
997533531.737629592
6439673170.665741785
993821598110.661077857
22727977326.402660988
34702455207.518504031
677770533.929817499
46631726883.969133236
5446481867.129032258
11336247450.272078594
4409370840.439131625
15681606050.576286856
14986614231.546859303
10...

result:

ok 93 numbers

Test #4:

score: 0
Accepted
time: 1251ms
memory: 33016kb

input:

5
400000 999972
172811492468 106699
171900177092 102097
194121748377 184014
190302947556 172722
183121572232 149212
196566712700 190884
171376795991 99358
522927044000 159597
-129031052077 34395
189422320931 170012
-275879974024 638546
408864707565 98475
-106703244806 368801
192128798630 178213
2915...

output:

519985220219.811770916
511413015796.766475379
424240880533.634020329
518849481155.503918797
1882496988186.444000006

result:

ok 5 numbers

Test #5:

score: 0
Accepted
time: 1248ms
memory: 14268kb

input:

38
16668 999947
-3844782803 511
-210897941456 464872
618726004990 714384
-954596898686 225256
96675744 1148
-1515974078 11375
-206213840984 706184
306078847 3947
-474818331950 391451
-616022698917 561244
123378707 1540
-640636592655 406006
459201391325 908506
-733249583 5719
496163273 6238
619876911...

output:

89670748252.978608020
98630840901.507606961
29393530999.894327790
50801000770.955985423
39668001027.269331343
467846478226.411370844
30789914370.574311614
23151476830.905098435
51606123416.625827592
151713060001.662588924
100944679009.609286278
766785664078.358981729
39969642788.061867386
6234106593...

result:

ok 38 numbers