結果
| 問題 |
No.1307 Rotate and Accumulate
|
| コンテスト | |
| ユーザー |
 haruki_K
|
| 提出日時 | 2020-12-04 01:47:47 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 70 ms / 5,000 ms |
| コード長 | 10,755 bytes |
| コンパイル時間 | 2,706 ms |
| コンパイル使用メモリ | 208,496 KB |
| 最終ジャッジ日時 | 2025-01-16 15:26:41 |
|
ジャッジサーバーID （参考情報） |
judge4 / judge1 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 19 |
ソースコード
// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
#define int ll
#define double ld
#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 repR(i,n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i,n) for (int i = (int)(n); i >= 1; i--)
#define loop(i,a,B) for (int i = a; i B; i++)
#define loopR(i,a,B) for (int i = a; i B; i--)
#define all(x) begin(x), end(x)
#define allR(x) rbegin(x), rend(x)
#define rng(x,l,r) begin(x) + (l), begin(x) + (r)
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define fst first
#define snd second
template <class Int> auto constexpr inf = numeric_limits<Int>::max()/2-1;
auto constexpr INF32 = inf<int32_t>;
auto constexpr INF64 = inf<int64_t>;
auto constexpr INF = inf<int>;
#ifdef LOCAL
#include "debug.hpp"
#else
#define dump(...) (void)(0)
#define say(x) (void)(0)
#define debug if (0)
#endif
template <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> {
vector<T> &data() { return this->c; }
void clear() { this->c.clear(); }
};
template <class T> using pque_max = pque<T, less<T>>;
template <class T> using pque_min = pque<T, greater<T>>;
template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0>
ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0>
ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; }
template <class T, class S> ostream& operator<<(ostream& os, pair<T,S> const& p) { return os << p.first << " " << p.second; }
template <class T, class S> istream& operator>>(istream& is, pair<T,S>& p) { return is >> p.first >> p.second; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint { template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); } };
#define MFP MakeFixPoint()|
#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
using type = vector<typename vec_impl<T,d-1>::type>;
template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T,d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T,0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T,d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T,d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << endl; exit(0); }
template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > y) { x = y; return true; } return false; }
template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < y) { x = y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits<It>::value_type{}); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); }
template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); }
const int dx[] = { 1,0,-1,0,1,-1,-1,1 };
const int dy[] = { 0,1,0,-1,1,1,-1,-1 };
constexpr int popcnt(ll x) { return __builtin_popcountll(x); }
// [a,b]
template <class Int> Int rand(Int a, Int b) { static mt19937_64 mt{random_device{}()}; return uniform_int_distribution<Int>(a,b)(mt); }
i64 irand(i64 a, i64 b) { return rand<i64>(a,b); }
u64 urand(u64 a, u64 b) { return rand<u64>(a,b); }
// <<<
// >>> modint
template <uint32_t md>
class modint {
static_assert(md < (1u<<31), "");
using M = modint;
using i64 = int64_t;
uint32_t x;
public:
static constexpr uint32_t mod = md;
constexpr modint(i64 x = 0) : x((x%=md) < 0 ? x+md : x) { }
constexpr i64 val() const { return x; }
constexpr explicit operator i64() const { return x; }
constexpr bool operator==(M r) const { return x == r.x; }
constexpr bool operator!=(M r) const { return x != r.x; }
constexpr M operator+() const { return *this; }
constexpr M operator-() const { return M()-*this; }
constexpr M& operator+=(M r) { x += r.x; x = (x < md ? x : x-md); return *this; }
constexpr M& operator-=(M r) { x += md-r.x; x = (x < md ? x : x-md); return *this; }
constexpr M& operator*=(M r) { x = (uint64_t(x)*r.x)%md; return *this; }
constexpr M& operator/=(M r) { return *this *= r.inv(); }
constexpr M operator+(M r) const { return M(*this) += r; }
constexpr M operator-(M r) const { return M(*this) -= r; }
constexpr M operator*(M r) const { return M(*this) *= r; }
constexpr M operator/(M r) const { return M(*this) /= r; }
friend constexpr M operator+(i64 x, M y) { return M(x)+y; }
friend constexpr M operator-(i64 x, M y) { return M(x)-y; }
friend constexpr M operator*(i64 x, M y) { return M(x)*y; }
friend constexpr M operator/(i64 x, M y) { return M(x)/y; }
constexpr M inv() const { assert(x > 0); return pow(md-2); }
constexpr M pow(i64 n) const {
assert(not (x == 0 && n == 0));
if (n < 0) return inv().pow(-n);
M v = *this, r = 1;
for (; n > 0; n >>= 1, v *= v) if (n&1) r *= v;
return r;
}
#ifdef LOCAL
friend string to_s(M r) { return to_s(r.val(), mod); }
#endif
friend ostream& operator<<(ostream& os, M r) { return os << r.val(); }
friend istream& operator>>(istream& is, M &r) { i64 x; is >> x; r = x; return is; }
};
// <<<
constexpr int64_t MOD = 998244353;
//constexpr int64_t MOD = 1e9+7;
using mint = modint<MOD>;
mint sgn(int n) { return n%2 == 0 ? +1 : -1; }
// >>> mod table
template <uint32_t mod>
struct ModTable {
vector<uint32_t> fact = {1,1}, finv = {1,1}, inv = {0,1};
void calc(int n) {
int old = fact.size();
if (n < old) return;
fact.resize(n+1);
finv.resize(n+1);
inv.resize(n+1);
for (uint32_t i = old; i <= n; i++) {
fact[i] = uint64_t(fact[i-1])*i % mod;
inv[i] = mod - uint64_t(inv[mod%i])*(mod/i) % mod;
finv[i] = uint64_t(finv[i-1])*inv[i] % mod;
}
}
};
ModTable<MOD> mod_tab;
modint<MOD> fact(int n) {
assert(0 <= n);
return mod_tab.calc(n), mod_tab.fact[n];
}
modint<MOD> finv(int n) {
assert(0 <= n);
return mod_tab.calc(n), mod_tab.finv[n];
}
modint<MOD> C(int n, int k) {
if (n < 0 || k < 0 || n < k) return 0;
return fact(n)*finv(k)*finv(n-k);
}
modint<MOD> P(int n, int k) {
assert(k >= 0); assert(n >= k);
return fact(n)*finv(n-k);
}
// <<<
// >>> NTT
template <class ModInt, int64_t g>
struct NTT {
using modint = ModInt;
static constexpr int64_t mod = ModInt::mod, gen = g, max_lg = __builtin_ctzll(mod-1);
// mod:prime, g:primitive root
static_assert(mod > 0 && g > 0 && max_lg > 0, "");
using arr_t = array<ModInt,max_lg+1>;
static arr_t ws,iws;
static void init() {
static bool built = false;
if (built) return;
for (int i = 0; i <= max_lg; i++) {
ws[i] = -ModInt(g).pow((mod-1)>>(i+2));
iws[i] = ModInt(1)/ws[i];
}
built = true;
}
static void ntt(ModInt a[], int lg) {
for (int b = lg-1; b >= 0; b--) {
ModInt w = 1;
for (int i = 0, k = 0; i < (1<<lg); i += 1<<(b+1)) {
for (int j = i; j < (i|(1<<b)); j++) {
const int k = j|(1<<b);
const auto x = a[j], y = a[k];
a[j] = x + y*w;
a[k] = x - y*w;
}
w *= ws[__builtin_ctz(++k)];
}
}
// bit_reverse(a,1<<lg);
}
static void intt(ModInt a[], int lg) {
// bit_reverse(a,1<<lg);
for (int b = 0; b < lg; b++) {
ModInt w = 1;
for (int i = 0, k = 0; i < (1<<lg); i += 1<<(b+1)) {
for (int j = i; j < (i|(1<<b)); j++) {
const int k = j|(1<<b);
const auto x = a[j], y = a[k];
a[j] = x + y;
a[k] = w*(x - y);
}
w *= iws[__builtin_ctz(++k)];
}
}
}
template <class T>
static vector<ModInt> conv(vector<T> const& a, vector<T> const& b) {
if (a.empty() || b.empty()) return {};
init();
const int s = a.size() + b.size() - 1, lg = __lg(2*s-1);
assert(lg <= max_lg);
vector<ModInt> aa(1<<lg);
rep (i,a.size()) aa[i] = (int64_t)a[i];
ntt(aa.data(), lg);
vector<ModInt> bb(1<<lg);
rep (i,b.size()) bb[i] = (int64_t)b[i];
ntt(bb.data(), lg);
const auto x = ModInt(1)/ModInt(1<<lg);
rep (i,1<<lg) aa[i] *= bb[i]*x;
intt(aa.data(), lg); aa.resize(s);
return aa;
}
template <class T>
static vector<ModInt> conv(vector<T> const& a) {
if (a.empty()) return {};
init();
const int s = a.size()*2 - 1, lg = __lg(2*s-1);
assert(lg <= max_lg);
vector<ModInt> aa(1<<lg);
rep (i,a.size()) aa[i] = (int64_t)a[i];
ntt(aa.data(), lg);
const auto x = ModInt(1)/ModInt(1<<lg);
rep (i,1<<lg) aa[i] *= aa[i]*x;
intt(aa.data(), lg); aa.resize(s);
return aa;
}
};
template <class ModInt, int64_t g>
typename NTT<ModInt,g>::arr_t NTT<ModInt,g>::ws;
template <class ModInt, int64_t g>
typename NTT<ModInt,g>::arr_t NTT<ModInt,g>::iws;
// <<<
using ntt = NTT<mint,3>;
int32_t main() {
int n, q; cin >> n >> q;
vector<int> a(n); cin >> a;
vector<int> r(q); cin >> r;
vector<int> c(n);
rep (i,q) c[(n-r[i])%n]++;
auto b = ntt::conv(a, c);
loop (i,n,<sz(b)) b[i%n] += b[i];
b.resize(n);
cout << b << endl;
}