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 heno239
提出日時 2021-01-02 20:33:24
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 54 ms / 2,000 ms
コード長 4,554 bytes
コンパイル時間 1,692 ms
コンパイル使用メモリ 147,492 KB
最終ジャッジ日時 2025-01-17 09:08:10
ジャッジサーバーID
(参考情報)
judge5 / 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 * 1
other AC * 45 RE * 20 TLE * 9
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 #
プレゼンテーションモードにする

#pragma GCC optimize("Ofast")
//#pragma GCC target ("sse4")
#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
using namespace std;
//#define int long long
typedef long long ll;
typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 998244353;
const ll INF = mod * mod;
typedef pair<int, int>P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;
typedef double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acosl(-1.0);
ll mod_pow(ll x, ll n, ll m = mod) {
if (n < 0) {
ll res = mod_pow(x, -n, m);
return mod_pow(res, m - 2, m);
}
if (abs(x) >= m)x %= m;
if (x < 0)x += m;
ll res = 1;
while (n) {
if (n & 1)res = res * x % m;
x = x * x % m; n >>= 1;
}
return res;
}
struct modint {
ll n;
modint() :n(0) { ; }
modint(ll m) :n(m) {
if (n >= mod)n %= mod;
else if (n < 0)n = (n % mod + mod) % mod;
}
operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
if (n == 0)return modint(1);
modint res = (a * a) ^ (n / 2);
if (n % 2)res = res * a;
return res;
}
ll inv(ll a, ll p) {
return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
modint operator/=(modint& a, modint b) { a = a / b; return a; }
const int max_n = 1 << 10;
modint fact[max_n], factinv[max_n];
void init_f() {
fact[0] = modint(1);
for (int i = 0; i < max_n - 1; i++) {
fact[i + 1] = fact[i] * modint(i + 1);
}
factinv[max_n - 1] = modint(1) / fact[max_n - 1];
for (int i = max_n - 2; i >= 0; i--) {
factinv[i] = factinv[i + 1] * modint(i + 1);
}
}
modint comb(int a, int b) {
if (a < 0 || b < 0 || a < b)return 0;
return fact[a] * factinv[b] * factinv[a - b];
}
modint combP(int a, int b) {
if (a < 0 || b < 0 || a < b)return 0;
return fact[a] * factinv[a - b];
}
bool exi[1024];
modint dp[1024][1024];
modint cop[1024][1024];
void solve() {
int n, k, x, y; cin >> n >> k >> x >> y;
y = min(y, 1023);
vector<int> a(k);
rep(i, k)cin >> a[i];
rep(i, k)exi[a[i]] = true;
vector<int> nex;
rep(j, 1024)if (exi[j])nex.push_back(j);
if (n <= 12) {
dp[0][0] = 1;
rep(i, n) {
rep(j, 1024) {
if (dp[i][j] == (modint)0)continue;
for (int to : nex) {
dp[i + 1][j ^ to] += dp[i][j];
}
}
}
modint ans = 0;
rep(i, (1 << n - 1)) {
int cnt = 0;
int tmp = 1;
modint pro = 1;
int loc = 0;
rep(j, n - 1) {
if (i & (1 << j)) {
loc ^= 1;
tmp ^= 1;
}
else {
if (tmp == 1)cnt++;
else {
pro *= nex.size();
}
tmp = 1;
}
}
if (tmp)cnt++;
else pro *= nex.size();
//cout << i << " " << cnt << "\n";
modint num = 0;
Rep1(j, x, y)num += dp[cnt][j];
//cout << i << " " << pro << "\n";
num *=pro;
if (loc==0)ans += num;
else ans -= num;
}
cout << ans << "\n";
}
else {
rep(i, 1024)if (exi[i]) {
dp[i][i] += 1;
}
rep(i, n - 1) {
rep(j, 1024)rep(k, 1024)cop[j][k] = 0;
rep(j, 1024)rep(k, 1024) {
if (dp[j][k] != (modint)0) {
for (int to : nex) {
if (j != to) {
cop[to][k ^ to] += dp[j][k];
}
}
}
}
rep(j, 1024)rep(k, 1024)dp[j][k] = cop[j][k];
}
modint ans = 0;
rep(j, 1024)Rep1(k, x, y)ans += dp[j][k];
cout << ans << "\n";
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
//cout << fixed << setprecision(15);
init_f();
//init();
//expr();
//int t; cin >> t; rep(i, t)
solve();
return 0;
}
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