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_kyoprofuppy_kyopro
提出日時 2020-12-03 17:23:22
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 61 ms / 2,000 ms
コード長 6,171 bytes
コンパイル時間 3,473 ms
コンパイル使用メモリ 200,628 KB
実行使用メモリ 20,172 KB
最終ジャッジ日時 2023-09-03 04:04:21
合計ジャッジ時間 19,685 ms
ジャッジサーバーID
(参考情報)
judge15 / judge11
このコードへのチャレンジ(β)

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 8 ms
11,660 KB
testcase_01 AC 9 ms
11,776 KB
testcase_02 AC 8 ms
11,680 KB
testcase_03 AC 8 ms
11,844 KB
testcase_04 AC 61 ms
20,172 KB
testcase_05 AC 32 ms
15,432 KB
testcase_06 AC 9 ms
12,096 KB
testcase_07 AC 52 ms
18,792 KB
testcase_08 AC 10 ms
12,096 KB
testcase_09 AC 49 ms
18,072 KB
testcase_10 AC 39 ms
16,544 KB
testcase_11 AC 50 ms
18,208 KB
testcase_12 AC 41 ms
16,816 KB
testcase_13 AC 31 ms
15,332 KB
testcase_14 AC 37 ms
16,116 KB
testcase_15 AC 36 ms
16,004 KB
testcase_16 AC 40 ms
16,704 KB
testcase_17 AC 11 ms
12,104 KB
testcase_18 AC 39 ms
16,632 KB
testcase_19 AC 25 ms
14,264 KB
testcase_20 AC 12 ms
12,068 KB
testcase_21 AC 15 ms
12,884 KB
testcase_22 AC 43 ms
17,120 KB
testcase_23 AC 51 ms
18,168 KB
testcase_24 AC 61 ms
20,044 KB
testcase_25 AC 9 ms
11,832 KB
testcase_26 AC 10 ms
12,044 KB
testcase_27 AC 11 ms
12,068 KB
testcase_28 AC 10 ms
12,224 KB
testcase_29 AC 10 ms
12,028 KB
testcase_30 AC 9 ms
11,808 KB
testcase_31 AC 9 ms
11,608 KB
testcase_32 AC 11 ms
12,112 KB
testcase_33 AC 9 ms
11,868 KB
testcase_34 AC 11 ms
12,228 KB
testcase_35 AC 10 ms
11,936 KB
testcase_36 AC 10 ms
11,916 KB
testcase_37 AC 10 ms
11,844 KB
testcase_38 AC 9 ms
11,948 KB
testcase_39 AC 9 ms
11,848 KB
testcase_40 AC 10 ms
11,920 KB
testcase_41 AC 10 ms
11,800 KB
testcase_42 AC 10 ms
12,204 KB
testcase_43 AC 9 ms
12,000 KB
testcase_44 AC 8 ms
11,668 KB
04_evil_A_01 RE -
04_evil_A_02 RE -
04_evil_A_03 RE -
04_evil_A_04 RE -
04_evil_A_05 RE -
04_evil_A_06 RE -
04_evil_A_07 RE -
04_evil_A_08 RE -
04_evil_A_09 RE -
04_evil_A_10 RE -
05_evil_B_01 MLE -
05_evil_B_02 MLE -
05_evil_B_03 MLE -
05_evil_B_04 MLE -
05_evil_B_05 MLE -
05_evil_B_06 MLE -
05_evil_B_07 MLE -
05_evil_B_08 MLE -
05_evil_B_09 MLE -
05_evil_B_10 MLE -
06_evil_C_01 WA -
06_evil_C_02 WA -
06_evil_C_03 WA -
06_evil_C_04 WA -
06_evil_C_05 WA -
06_evil_C_06 WA -
06_evil_C_07 WA -
06_evil_C_08 WA -
06_evil_C_09 WA -
06_evil_C_10 RE -
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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