結果

問題 No.140 みんなで旅行
ユーザー noya2noya2
提出日時 2022-04-07 23:36:15
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 4,450 ms / 5,000 ms
コード長 3,848 bytes
コンパイル時間 4,411 ms
コンパイル使用メモリ 260,752 KB
最終ジャッジ日時 2025-01-28 15:40:42
ジャッジサーバーID
（参考情報） 		judge3 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 19
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 # 

#include <bits/stdc++.h>
/*
#include <boost/multiprecision/cpp_dec_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
namespace mp = boost::multiprecision;
using bint = mp::cpp_int;
*/
#include <atcoder/all>
#define rep(i,n) for (int i = 0; i < int(n); ++i)
#define repp(i,n,m) for (int i = m; i < int(n); ++i)
#define repb(i,n) for (int i = int(n)-1; i >= 0; --i)
#define fi first
#define se second
#define endl "\n"
using namespace std;
using namespace atcoder;
using ll = long long;
using ld = long double;
using P = pair<int, int>;
using PL = pair<long long, long long>;
using Pxy = pair<long double, long double>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;
using ppi = pair<P,int>;
using pip = pair<int,P>;
const int INF = 1001001007;
const long long mod1 = 1000000007LL;
const long long mod2 = 998244353LL;
const ll inf = 2e18;
const ld pi = 3.14159265358979323;
const ld eps = 1e-7;
const char _ = ' ';
template<class T>istream &operator>>(istream &is,vector<T> &v){for(auto &e:v)is>>e;return is;}
template<class T>ostream &operator<<(ostream &os,const vector<T> &v){if(v.size()!=0){rep(i,v.size())os<<v[i]<<(i+1==v.size()?"":" ");}return os;}
template<class T>istream &operator>>(istream &is,vector<vector<T>> &v){for(auto &e:v)is>>e;return is;}
template<class T>ostream &operator<<(ostream &os,const vector<vector<T>> &v){if(v.size()!=0){for(auto &e:v)os<<e;}return os;}
template<typename T>bool range(T a,T b,T x){return (a<=x&&x<b);}
template<typename T>bool rrange(T a,T b,T c,T d,T x,T y){return (range(a,c,x)&&range(b,d,y));}
template<typename T>void rev(vector<T> &v){reverse(v.begin(),v.end());}
void revs(string &s) {reverse(s.begin(),s.end());}
template<typename T>void sor(vector<T> &v, int f=0){sort(v.begin(),v.end());if(f!=0) rev(v);}
template<typename T>bool chmin(T &a,const T &b){if(a>b){a=b;return true;}return false;}
template<typename T>bool chmax(T &a,const T &b){if(a<b){a=b;return true;}return false;}
template<typename T>void eru(vector<T> &v){sor(v);v.erase(unique(v.begin(),v.end()),v.end());}
template<typename T>T cel(T a,T b){if(a%b==0)return a/b;return a/b +1;}
void o(){cout<<"!?"<<endl;}
template<typename T>void o(T a){cout<<a<<endl;}
template<typename T,typename U>void o2(T a,U b){cout<<a<<_<<b<<endl;}
template<typename T,typename U>void o2(pair<T,U> a){o2(a.first,a.second);}
template<typename T,typename U,typename V>void o3(T a,U b,V c){cout<<a<<_<<b<<_<<c<<endl;}
template<typename T>void mout(T a){cout<<a.val()<<endl;}
void yes(){cout << "Yes" << endl;}
void no (){cout << "No" << endl;}
void yn (bool t){if(t)yes();else no();}
template<typename T>void dame(bool t, T s){if(!t){cout << s << endl;exit(0);}}
void fast_io(){cin.tie(0); ios::sync_with_stdio(0); cout<<fixed<<setprecision(20);}
vector<int> dx = {0,1,0,-1};
vector<int> dy = {1,0,-1,0};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";

void solve(){
    int n; cin >> n;
    using mint = modint1000000007;
    vector<vector<mint>> dp(2*n+3,vector<mint>(n+1,0));
    dp[0][0] = 1;
    rep(i,n) {
        vector<vector<mint>> ep(2*n+3,vector<mint>(n+1,0));
        rep(j,2*n+1) rep(k,n){
            mint x = dp[j][k];
            if (j < k) continue;
            if (j == 0){
                ep[j+1][k+1] += x;
                ep[j+2][k] += x;
                continue;
            }
            ep[j+1][k+1] += x;
            ep[j][k] += x * mint(k);
            ep[j][k+1] += x * mint(j - k);
            ep[j][k] += x * mint(j) * mint(j-1);
            ep[j+1][k] += x * mint(j) * mint(2);
            ep[j+2][k] += x;
        }
        dp = ep;
    }
    mint ans = 0;
    rep(i,n+1) {
        ans += dp[i][i];
        //mout(ans);
    }
    mout(ans);
}

int main(){
    fast_io();
    int t = 1; //cin >> t;
    while (t--) solve();
}
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