結果

問題 No.1304 あなたは基本が何か知っていますか?私は知っています.
ユーザー fuppy_kyopro
提出日時 2020-12-03 17:23:22
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 6,171 bytes
コンパイル時間 2,337 ms
コンパイル使用メモリ 182,376 KB
最終ジャッジ日時 2025-06-22 03:00:59
合計ジャッジ時間 2,996 ms
ジャッジサーバーID
(参考情報)
judge2 / judge1
このコードへのチャレンジ
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コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。(リジャッジ後のコンパイルエラーは公開されます)
ただし、clay言語の場合は開発者のデバッグのため、公開されます。

コンパイルメッセージ
In file included from /usr/include/c++/13/string:43,
                 from /usr/include/c++/13/bitset:52,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:52,
                 from main.cpp:7:
/usr/include/c++/13/bits/allocator.h: In destructor ‘std::_Vector_base<int, std::allocator<int> >::_Vector_impl::~_Vector_impl()’:
/usr/include/c++/13/bits/allocator.h:184:7: error: inlining failed in call to ‘always_inline’ ‘std::allocator< <template-parameter-1-1> >::~allocator() noexcept [with _Tp = int]’: target specific option mismatch
  184 |       ~allocator() _GLIBCXX_NOTHROW { }
      |       ^
In file included from /usr/include/c++/13/vector:66,
                 from /usr/include/c++/13/queue:63,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:157:
/usr/include/c++/13/bits/stl_vector.h:133:14: note: called from here
  133 |       struct _Vector_impl
      |              ^~~~~~~~~~~~

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 DEBUG(x) cerr<<#x<<": "<<x<<endl;
#define DEBUG_VEC(v) cerr<<#v<<":";for(int i=0;i<v.size();i++) cerr<<" "<<v[i]; cerr<<endl;
#define DEBUG_MAT(v) cerr<<#v<<endl;for(int i=0;i<v.size();i++){for(int j=0;j<v[i].size();j++) {cerr<<v[i][j]<<" ";}cerr<<endl;}
typedef long long ll;
// #define int ll
 
#define vi vector<int>
#define vl vector<ll>
#define vii vector< vector<int> >
#define vll vector< vector<ll> >
#define vs vector<string>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define pll pair<ll,ll>
template<class S, class T> pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first + t.first, s.second + t.second); }
template<class S, class T> pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }
template<class S, class T> ostream& operator<<(ostream& os, pair<S, T> p) { os << "(" << p.first << ", " << p.second << ")"; return os; }
#define X first
#define Y second
#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define rep1(i,n) for(int i=1;i<=(int)(n);i++)
#define rrep(i,n) for(int i=(int)(n)-1;i>=0;i--)
#define rrep1(i,n) for(int i=(int)(n);i>0;i--)
#define REP(i,a,b) for(int i=a;i<b;i++)
#define in(x, a, b) (a <= x && x < b)
#define all(c) c.begin(),c.end()
void YES(bool t=true) {cout<<(t?"YES":"NO")<<endl;}
void Yes(bool t=true) {cout<<(t?"Yes":"No")<<endl;}
void yes(bool t=true) {cout<<(t?"yes":"no")<<endl;}
void NO(bool t=true) {cout<<(t?"NO":"YES")<<endl;}
void No(bool t=true) {cout<<(t?"No":"Yes")<<endl;}
void no(bool t=true) {cout<<(t?"no":"yes")<<endl;}
template<class T> bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; }
#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());
const ll inf = 1000000001;
const ll INF = (ll)1e18 + 1;
const long double pi = 3.1415926535897932384626433832795028841971L;
#define Sp(p) cout<<setprecision(25)<< fixed<<p<<endl;
// int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
// int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
vi dx = {0, 1, 0, -1}, dy = {-1, 0, 1, 0};
// vi dx2 = { 1,1,0,-1,-1,-1,0,1 }, dy2 = { 0,1,1,1,0,-1,-1,-1 };
#define fio() cin.tie(0); ios::sync_with_stdio(false);
// const ll MOD = 1000000007;
const ll MOD = 998244353;
// #define mp make_pair
//#define endl '\n'

const int MAXN = 555555;

vl fact(MAXN);
vl rfact(MAXN);

ll mod_pow(ll x, ll p, ll M = MOD) {
  if (p < 0) {
    x = mod_pow(x, M - 2, M);
    p = -p;
  }
  ll a = 1;
  while (p) {
    if (p % 2)
      a = a*x%M;
    x = x*x%M;
    p /= 2;
  }
  return a;
}

ll mod_inverse(ll a, ll M = MOD) {
  return mod_pow(a, M - 2, M);
}

void set_fact(ll n, ll M = MOD) {
  fact[0] = 1;
  for (ll i = 1; i <= n; i++) {
    fact[i] = i * fact[i - 1] % M;
  }
  rfact[n] = mod_inverse(fact[n], M);
  for (ll i = n - 1; i >= 0; i--) {
      rfact[i] = (i + 1) * rfact[i + 1] % M;
  }
}

//http://drken1215.hatenablog.com/entry/2018/06/08/210000
//n���傫��fact���v�Z�ł��Ȃ��Ƃ��̂ق��̌v�Z���@�ɂ‚��ď����Ă���
ll nCr(ll n, ll r, ll M = MOD) {
  if (r > n) return 0;
  assert(fact[2] == 2);
  ll ret = fact[n];
  if (rfact[r] == 0) {
    rfact[r] = mod_inverse(fact[r], M);
  }
  ret = (ret*rfact[r]) % M;
  if (rfact[n - r] == 0) {
    rfact[n - r] = mod_inverse(fact[n - r], M);
  }
  ret = (ret*rfact[n - r]) % M;
  return ret;
}

ll nHr(ll n, ll r) {
  return nCr(n+r-1, r);
}

const int m = 1024;
vi a;

void dfs(vl& path, int n, vll& dp) {
    if (path.size() == n) {
        ll x = 0;
        for (int idx: path) x ^= a[idx];
        dp[path.back()][x]++;
        return;
    }

    rep (i, a.size()) {
        if (path.size() > 0 and path.back() == i) continue;
        path.push_back(i);
        dfs(path, n, dp);
        path.pop_back();
    }
}

template <typename T>
void fwt(vector<T>& f) {
    int n = f.size();
    for (int i = 1; i < n; i <<= 1) {
        for (int j = 0; j < n; j++) {
            if ((j & i) == 0) {
                T x = f[j], y = f[j | i];
                f[j] = (x + y) % MOD, f[j | i] = (x - y) % MOD;
            }
        }
    }
}

ll inv2 = mod_inverse(2);


template <typename T>
void ifwt(vector<T>& f) {
    int n = f.size();
    for (int i = 1; i < n; i <<= 1) {
        for (int j = 0; j < n; j++) {
            if ((j & i) == 0) {
                T x = f[j], y = f[j | i];
                f[j] = (x + y) * inv2 % MOD, f[j | i] = (x - y) * inv2 % MOD;
            }
        }
    }
}

signed main() {
    fio();
    int n, k, x, y;
    cin >> n >> k >> x >> y;
    a.resize(k);
    rep (i, k) cin >> a[i];
    sort(all(a));
    UNIQUE(a);

    vll dp(a.size(), vl(m));
    vl path;
    dfs(path, n / 2, dp);
    // DEBUG_MAT(dp);

    vl sum(m);
    rep (i, m) {
        rep (j, a.size()) {
            sum[i] += dp[j][i];
        }
        sum[i] %= MOD;
    }

    vl c(m);
    rep (i, m) {
        rep (j, m) {
            c[i ^ j] += sum[i] * sum[j] % MOD;
            c[i ^ j] %= MOD;
        }
    }
    // DEBUG_VEC(c);

    vl d(m);
    rep (k, a.size()) {
        vl f = dp[k];

        // for (int i = 1; i < m; i <<= 1) {
        //     for (int j = 0; j < m; j++) {
        //         if ((j & i) == 0) {
        //             ll x = dp[k][j], y = dp[k][j | i];
        //             dp[k][j] = x + y, dp[k][j | i] = x - y;
        //         }
        //     }
        // }
        fwt<ll>(f);
        rep (i, m) (f[i] *= f[i]) %= MOD;
        ifwt<ll>(f);

        rep (i, m) {
            (d[i] += f[i]) %= MOD;
            // (d[i] += dp[k][i]) %= MOD;
        }
    }
    // DEBUG_MAT(dp);
    // DEBUG_VEC(d);


    ll ans = 0;
    rep (i, m) {
        if (in(i, x, y + 1)) {
            ans += c[i] - d[i];
        }
    }
    ans = (ans % MOD + MOD) % MOD;
    cout << ans << endl;
}
0