結果

問題 No.2389 Cheating Code Golf
ユーザー dyktr_06dyktr_06
提出日時 2023-07-22 00:14:10
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 60 ms / 2,000 ms
コード長 5,429 bytes
コンパイル時間 6,775 ms
コンパイル使用メモリ 309,868 KB
実行使用メモリ 38,016 KB
最終ジャッジ日時 2024-09-22 01:33:03
合計ジャッジ時間 8,924 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 3 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 15 ms
11,008 KB
testcase_03 AC 59 ms
38,016 KB
testcase_04 AC 60 ms
37,888 KB
testcase_05 AC 4 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 12 ms
11,008 KB
testcase_08 AC 25 ms
19,584 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 4 ms
5,376 KB
testcase_12 AC 2 ms
5,376 KB
testcase_13 AC 13 ms
11,008 KB
testcase_14 AC 6 ms
7,040 KB
testcase_15 AC 3 ms
5,376 KB
testcase_16 AC 22 ms
19,584 KB
testcase_17 AC 2 ms
5,376 KB
testcase_18 AC 6 ms
6,944 KB
testcase_19 AC 2 ms
5,376 KB
testcase_20 AC 3 ms
5,376 KB
testcase_21 AC 3 ms
5,376 KB
testcase_22 AC 3 ms
5,376 KB
testcase_23 AC 2 ms
5,376 KB
testcase_24 AC 6 ms
7,040 KB
testcase_25 AC 4 ms
5,376 KB
testcase_26 AC 2 ms
5,376 KB
testcase_27 AC 47 ms
38,016 KB
testcase_28 AC 6 ms
7,040 KB
testcase_29 AC 2 ms
5,376 KB
testcase_30 AC 12 ms
11,136 KB
testcase_31 AC 4 ms
5,504 KB
testcase_32 AC 2 ms
5,376 KB
testcase_33 AC 2 ms
5,376 KB
testcase_34 AC 41 ms
37,760 KB
testcase_35 AC 4 ms
5,376 KB
testcase_36 AC 13 ms
11,008 KB
testcase_37 AC 2 ms
5,376 KB
testcase_38 AC 26 ms
19,584 KB
testcase_39 AC 3 ms
5,376 KB
testcase_40 AC 2 ms
5,376 KB
testcase_41 AC 11 ms
10,368 KB
testcase_42 AC 3 ms
5,376 KB
testcase_43 AC 3 ms
5,376 KB
testcase_44 AC 2 ms
5,376 KB
testcase_45 AC 54 ms
38,016 KB
testcase_46 AC 51 ms
37,888 KB
testcase_47 AC 2 ms
5,376 KB
testcase_48 AC 5 ms
5,376 KB
testcase_49 AC 7 ms
7,040 KB
testcase_50 AC 2 ms
5,376 KB
testcase_51 AC 5 ms
5,376 KB
testcase_52 AC 5 ms
5,376 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")

#include <bits/stdc++.h>
#include <atcoder/all>

using namespace std;
using namespace atcoder;

#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(n) for(int i = 0; i < (int)(n); ++i)
#define rep2(i, n) for(int i = 0; i < (int)(n); ++i)
#define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i)
#define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)

#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i)
#define ALL(a) a.begin(), a.end()
#define Sort(a) sort(a.begin(), a.end())
#define RSort(a) sort(a.rbegin(), a.rend())

typedef long long int ll;
typedef unsigned long long ul;
typedef long double ld;
typedef vector<int> vi;
typedef vector<long long> vll;
typedef vector<char> vc;
typedef vector<string> vst;
typedef vector<double> vd;
typedef vector<long double> vld;
typedef pair<long long, long long> P;

template<class T> long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); }
template<class T> auto min(const T& a){ return *min_element(a.begin(), a.end()); }
template<class T> auto max(const T& a){ return *max_element(a.begin(), a.end()); }

const long long MINF = 0x7fffffffffff;
const long long INF = 0x1fffffffffffffff;
const long long MOD = 998244353;
const long double EPS = 1e-9;
const long double PI = acos(-1);
 
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

template<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p){ is >> p.first >> p.second; return is; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){ os << "(" << p.first << ", " << p.second << ")"; return os; }
template<typename T> istream &operator>>(istream &is, vector<T> &v){ for(T &in : v) is >> in; return is; }
template<typename T> ostream &operator<<(ostream &os, const vector<T> &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; }
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, queue<T> q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; }
template <typename T> ostream &operator<<(ostream &os, deque<T> q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; }
template <typename T> ostream &operator<<(ostream &os, stack<T> st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; }
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; }

template<class T, class U> inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; }
template<class T> inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; }
template<class... T> void in(T&... a){ (cin >> ... >> a); }
void out(){ cout << '\n'; }
template<class T, class... Ts> void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }
template<class T, class U> void inGraph(vector<vector<T>>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } }

ld dp[13][1 << 12][41];

ll n, m;
vector<ld> a, b, p;

void input(){
    in(n, m);
    a.resize(n);
    b.resize(n);
    p.resize(n);
    rep(i, n) in(a[i], b[i], p[i]);
}

void solve(){
    vector<pair<ld, ll>> sr(n);
    rep(i, n){
        ld w = (a[i] - b[i]) / (a[i] * b[i]);
        if(p[i] != 1) w /= (p[i] - 1);
        else w = INF;
        sr[i] = make_pair(w, i);
    }
    RSort(sr);

    dp[0][0][0] = 1;
    rep(i, n){
        auto [w, key] = sr[i];
        rep(j, 1 << n){
            rep(k, m + 1){
                ld q = 1; q -= (ld) 1 / p[key];
                if(k + 1 <= m && (a[key] - b[key]) > 0){
                    dp[i + 1][j | (1 << i)][k] += dp[i][j][k] / p[key];
                    dp[i][j][k + 1] += dp[i][j][k] * q;
                }else{
                    dp[i + 1][j][k] += dp[i][j][k];
                }
            }
        }
    }
    ld ans = 0;
    rep(i, 1 << n){
        ld s = 0;
        rep(j, n){
            auto [w, key] = sr[j];
            if(i & (1 << j)){
                s += (ld) 1 / b[key];
            }else{
                s += (ld) 1 / a[key];
            }
        }
        rep(j, m + 1){
            ans += s * dp[n][i][j];
        }
    }
    out(ans);
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(20);
    
    input();
    solve();
}
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