#916157 (C++23) No.2272 多項式乗算 mod 258280327

提出ソース
結果

問題	No.2272 多項式乗算 mod 258280327
ユーザー	aplysiaSheep
提出日時	2023-09-27 16:04:34
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	970 ms / 2,000 ms
コード長	20,664 bytes
コンパイル時間	7,368 ms
コンパイル使用メモリ	339,148 KB
実行使用メモリ	29,184 KB
最終ジャッジ日時	2024-07-20 10:17:46
合計ジャッジ時間	12,908 ms
ジャッジサーバーID （参考情報）	judge4 / judge2
このコードへのチャレンジ
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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	2 ms 5,248 KB
testcase_01	AC	3 ms 5,376 KB
testcase_02	AC	3 ms 5,376 KB
testcase_03	AC	3 ms 5,376 KB
testcase_04	AC	3 ms 5,376 KB
testcase_05	AC	3 ms 5,376 KB
testcase_06	AC	3 ms 5,376 KB
testcase_07	AC	4 ms 5,376 KB
testcase_08	AC	3 ms 5,376 KB
testcase_09	AC	3 ms 5,376 KB
testcase_10	AC	3 ms 5,376 KB
testcase_11	AC	3 ms 5,376 KB
testcase_12	AC	3 ms 5,376 KB
testcase_13	AC	3 ms 5,376 KB
testcase_14	AC	3 ms 5,376 KB
testcase_15	AC	3 ms 5,376 KB
testcase_16	AC	3 ms 5,376 KB
testcase_17	AC	3 ms 5,376 KB
testcase_18	AC	3 ms 5,376 KB
testcase_19	AC	3 ms 5,376 KB
testcase_20	AC	3 ms 5,376 KB
testcase_21	AC	3 ms 5,376 KB
testcase_22	AC	4 ms 5,376 KB
testcase_23	AC	3 ms 5,376 KB
testcase_24	AC	13 ms 5,376 KB
testcase_25	AC	45 ms 5,376 KB
testcase_26	AC	45 ms 5,376 KB
testcase_27	AC	128 ms 6,748 KB
testcase_28	AC	93 ms 6,612 KB
testcase_29	AC	436 ms 16,132 KB
testcase_30	AC	970 ms 29,080 KB
testcase_31	AC	870 ms 29,140 KB
testcase_32	AC	884 ms 29,184 KB
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

raw source code
#include <bits/stdc++.h>
using namespace std;
#include <atcoder/all>
using namespace atcoder;

#define int long long
// #define endl "\n"

#pragma GCC optimize("-O3")

void solve();

typedef long long ll;
typedef __int128_t LL;
typedef unsigned long long ull;
typedef double db;
typedef long double ld;
typedef pair<int, int> pi;
typedef pair<int, pair<int, int>> pip;
typedef vector<int> vi;
typedef vector<double> vd;
typedef vector<bool> vb;
typedef vector<string> vs;
typedef vector<char> vc;
typedef vector<pair<int, int>> vp;
typedef vector<vector<int>> vvi;
typedef vector<vector<double>> vvd;
typedef vector<vector<bool>> vvb;
typedef vector<vector<string>> vvs;
typedef vector<vector<char>> vvc;
typedef vector<vector<pair<int, int>>> vvp;
typedef vector<vector<vector<int>>> vvvi;
typedef vector<vector<vector<vector<int>>>> vvvvi;
template <typename T>
using vec = vector<T>;
template <typename T>
using vv = vector<vector<T>>;
template <typename T>
using vvv = vector<vector<vector<T>>>;
template <typename T>
using vvvv = vector<vector<vector<vector<T>>>>;
template <typename T>
using pq = priority_queue<T>;
template <typename T>
using pqg = priority_queue<T, vector<T>, greater<T>>;
template <typename T>
using mset = multiset<T>;
template <typename T>
using uset = unordered_set<T>;
template <typename T, typename U>
using umap = unordered_map<T, U>;

#define _PI 3.14159265358979323846
#define _E 2.7182818284590452354
#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define td typedef
#define elif else if
#define ifnot(x) if(!(x))
#define all(obj) (obj).begin(), (obj).end()
#define rall(obj) (obj).rbegin(), (obj).rend()
#define sumv(a) accumulate(all(a), 0LL)
#define lb(v, a) (lower_bound(begin(v), end(v), a) - begin(v))
#define ub(v, a) (upper_bound(begin(v), end(v), a) - begin(v))
#define inr(l, x, r) (l <= x && x < r)
#define cbit(x) __builtin_popcountll(x)
#define topbit(t) (t == 0 ? -1 : 63 - __builtin_clzll(t))
#define botbit(t) (t == 0 ? 64 : __builtin_ctzll(t))
#define gbit(msk, i) ((msk) >> (i) & 1)
#define mask(x) ((1LL << (x)) - 1)
#define setbits(i, n) \
    for(int j = (n), i = botbit(j); j; j ^= 1LL << i, i = botbit(j))

#define rep1(a) for(int i = 0; i < (int)a; i++)
#define rep2(i, a) for(int i = 0; i < (int)a; i++)
#define rep3(i, a, b) for(int i = a; i < (int)b; i++)
#define rep4(i, a, b, c) for(int i = a; i < (int)b; i += c)
#define overload4(a, b, c, d, e, ...) e
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep1(n) for(ll i = n; i--;)
#define rrep2(i, n) for(ll i = n; i--;)
#define rrep3(i, a, b) for(ll i = b; i-- > (a);)
#define rrep4(i, a, b, c) \
    for(ll i = (a) + ((b) - (a)-1) / (c) * (c); i >= (a); i -= c)
#define rrep(...) \
    overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__)
#define fore1(i, a) for(auto &&i : a)
#define fore2(x, y, a) for(auto &&[x, y] : a)
#define fore3(x, y, z, a) for(auto &&[x, y, z] : a)
#define fore(...) overload4(__VA_ARGS__, fore3, fore2, fore1)(__VA_ARGS__)
#define ryes return yes();
#define rno return no();
#define rerr return err();

istream &operator>>(istream &is, modint998244353 &a) {
    long long v;
    is >> v;
    a = v;
    return is;
}
ostream &operator<<(ostream &os, const modint998244353 &a) {
    return os << a.val();
}
istream &operator>>(istream &is, modint1000000007 &a) {
    long long v;
    is >> v;
    a = v;
    return is;
}
ostream &operator<<(ostream &os, const modint1000000007 &a) {
    return os << a.val();
}
template <class T, class U>
istream &operator>>(istream &is, pair<T, U> &p) {
    is >> p.first >> p.second;
    return is;
}
template <class T, class U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
    os << p.first << "," << p.second;
    return os;
}
template <class T>
ostream &operator<<(ostream &s, set<T> P) {
    fore(it, P) {
        s << it << " ";
    }
    return s;
}
template <class T1, class T2>
ostream &operator<<(ostream &s, map<T1, T2> P) {
    fore(x, y, P) {
        s << "<" << x << "->" << y << "> ";
    }
    return s;
}
template <class T>
ostream &operator<<(ostream &s, multiset<T> P) {
    fore(it, P) {
        s << it << " ";
    }
    return s;
}
template <class T>
ostream &operator<<(ostream &s, unordered_set<T> P) {
    fore(it, P) {
        s << it << " ";
    }
    return s;
}
template <class T1, class T2>
ostream &operator<<(ostream &s, unordered_map<T1, T2> P) {
    fore(x, y, P) {
        s << "<" << x << "->" << y << "> ";
    }
    return s;
}
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) {
    for(auto &e : v) os << e << ' ';
    return os;
}
template <class T>
ostream &operator<<(ostream &os, const vector<vector<T>> &v) {
    for(auto &e : v) {
        for(auto &c : e) os << c << ' ';
        os << endl;
    }
    return os;
}
template <class T>
vector<T> &operator++(vector<T> &v) {
    for(auto &e : v) e++;
    return v;
}
template <class T>
vector<T> operator++(vector<T> &v, signed) {
    auto res = v;
    for(auto &e : v) e++;
    return res;
}
template <class T>
vector<T> &operator--(vector<T> &v) {
    for(auto &e : v) e--;
    return v;
}
template <class T>
vector<T> operator--(vector<T> &v, signed) {
    auto res = v;
    for(auto &e : v) e--;
    return res;
}

// 十進数からb進数へ
template <class T>
string to_baseB(T x, int b = 10) {
    string ans;
    do {
        int num = x % b;
        ans = (char)((num <= 9) ? ('0' + num) : ('A' + num - 10)) + ans;
        x /= b;
    } while(x != 0);
    return ans;
}
// b進数から十進数へ
long long to_base10(const string &x, int b = 10) {
    long long ans = 0, base = 1;
    for(int i = x.length() - 1; i >= 0; --i) {
        int num =
            ('0' <= x[i] && x[i] <= '9') ? (x[i] - '0') : (x[i] - 'A' + 10);
        ans += base * num;
        base *= b;
    }
    return ans;
}

ostream &operator<<(ostream &s, const LL &p) {
    s << to_baseB(p);
    return s;
}

// debug methods
// usage: debug(x,y);
#define CHOOSE(a) CHOOSE2 a
#define CHOOSE2(a0, a1, a2, a3, a4, x, ...) x
#define debug_1(x1) cout << #x1 << ": " << x1 << endl
#define debug_2(x1, x2) \
    cout << #x1 << ": " << x1 << ", " #x2 << ": " << x2 << endl
#define debug_3(x1, x2, x3)                                                 \
    cout << #x1 << ": " << x1 << ", " #x2 << ": " << x2 << ", " #x3 << ": " \
         << x3 << endl
#define debug_4(x1, x2, x3, x4)                                             \
    cout << #x1 << ": " << x1 << ", " #x2 << ": " << x2 << ", " #x3 << ": " \
         << x3 << ", " #x4 << ": " << x4 << endl
#define debug_5(x1, x2, x3, x4, x5)                                         \
    cout << #x1 << ": " << x1 << ", " #x2 << ": " << x2 << ", " #x3 << ": " \
         << x3 << ", " #x4 << ": " << x4 << ", " #x5 << ": " << x5 << endl
#ifdef _DEBUG
#define debug(...)                                                        \
    CHOOSE((__VA_ARGS__, debug_5, debug_4, debug_3, debug_2, debug_1, ~)) \
    (__VA_ARGS__)
#else
#define debug(...)
#endif

void out() {
    cout << endl;
}
template <class T>
void out(const T &a) {
    cout << a;
    cout << endl;
}
template <class T, class... Ts>
void out(const T &a, const Ts &...b) {
    cout << a;
    (cout << ... << (cout << ' ', b));
    cout << endl;
}
#define rout_1(x1) return out(x1)
#define rout_2(x1, x2) return out(x1, x2)
#define rout_3(x1, x2, x3) return out(x1, x2, x3)
#define rout_4(x1, x2, x3, x4) return out(x1, x2, x3, x4)
#define rout_5(x1, x2, x3, x4, x5) return out(x1, x2, x3, x4, x5)
#define rout(...)                                                    \
    CHOOSE((__VA_ARGS__, rout_5, rout_4, rout_3, rout_2, rout_1, ~)) \
    (__VA_ARGS__)

struct fast_ios {
    fast_ios() {
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(12);
    };
} fast_ios_;

struct Binomial {
    int p;
    int MAX;
    vector<long long> fac, finv, inv;

    // テーブルを作る前処理
    Binomial(int p_, int n = 1) : p(p_), MAX(1), fac(2), finv(2), inv(2) {
        fac[0] = fac[1] = 1;
        finv[0] = finv[1] = 1;
        inv[1] = 1;
        if(n != 1) build(n);
    }

    void build(int new_max) {
        MAX++;
        fac.resize(new_max + 1);
        inv.resize(new_max + 1);
        finv.resize(new_max + 1);
        for(; MAX <= new_max; MAX++) {
            fac[MAX] = fac[MAX - 1] * MAX % p;
            inv[MAX] = p - inv[p % MAX] * (p / MAX) % p;
            finv[MAX] = finv[MAX - 1] * inv[MAX] % p;
        }
        MAX--;
    }

    // nCk
    long long mod_comb(int n, int k) {
        if(n < k) return 0;
        if(n < 0 || k < 0) return 0;
        if(n > MAX) build(n);
        return fac[n] * (finv[k] * finv[n - k] % p) % p;
    }
    long long operator()(int n, int k) {
        return mod_comb(n, k);
    }

    // nPk
    long long mod_perm(int n, int k) {
        if(n < k) return 0;
        if(n < 0 || k < 0) return 0;
        if(n > MAX) build(n);
        return fac[n] * finv[n - k] % p;
    }
    // n!
    long long operator[](int n) {
        if(n > MAX) build(n);
        return fac[n];
    }
    // 1/n!
    long long operator()(int n) {
        if(n > MAX) build(n);
        return finv[n];
    }
};

template <typename T = long long>
struct modpow {
    long long x, m;
    int n;
    vector<T> d;
    modpow(long long x) : x(x), n(1), d(1, 1) {}
    T operator[](int i) {
        while(n <= i) d.push_back(d.back() * x), ++n;
        return d[i];
    }
};
modpow two(2), ten(10);

struct RandomNumberGenerator {
    mt19937 mt;

    RandomNumberGenerator()
        : mt(chrono::steady_clock::now().time_since_epoch().count()) {}

    long long operator()(long long a, long long b) {  // [a, b)
        uniform_int_distribution<long long> dist(a, b - 1);
        return dist(mt);
    }

    long long operator()(long long b) {  // [0, b)
        return (*this)(0, b);
    }

    long long operator()() {
        return (*this)(0, 1LL << 60);
    }

    double operator[](double a) {
        return (double)(*this)(0, 1LL << 60) / (1LL << 60) * a;
    }

    double normal_dist(double sigma, double mean = 0) {
        std::normal_distribution<> dist(mean, sigma);
        return dist(mt);
    }
} rnd;

clock_t start_time = clock();
double now_time() {
    clock_t end_time = clock();
    return (double)(end_time - start_time) / CLOCKS_PER_SEC;
}

void input_graph(vector<vector<int>> &g, int m = -1, int bidirected = true) {
    if(m == -1) m = g.size() - 1;
    for(int i = 0; i < m; i++) {
        int u, v;
        cin >> u >> v;
        u--;
        v--;
        g[u].push_back(v);
        if(bidirected) g[v].push_back(u);
    }
}
vector<int> iota(int n, int s = 0) {
    vi a(n);
    iota(a.begin(), a.end(), s);
    return a;
}
template <class T>
void sort(vector<T> &v) {
    sort(all(v));
}
template <class T>
void rsort(vector<T> &v) {
    sort(rall(v));
}
template <class T>
void reverse(T &v) {
    reverse(all(v));
}
template <class T>
auto max(const T &a) {
    return *max_element(all(a));
}
template <class T>
auto min(const T &a) {
    return *min_element(all(a));
}
long long max(signed x, long long y) {
    return max((long long)x, y);
}
long long max(long long x, signed y) {
    return max(x, (long long)y);
}
long long min(signed x, long long y) {
    return min((long long)x, y);
}
long long min(long long x, signed y) {
    return min(x, (long long)y);
}
template <class T, class S>
bool chmax(T &a, const S &b) {
    if(a < (T)b) {
        a = (T)b;
        return 1;
    }
    return 0;
}
template <class T, class S>
bool chmin(T &a, const S &b) {
    if((T)b < a) {
        a = (T)b;
        return 1;
    }
    return 0;
}
template <class T>
vector<T> uniq(vector<T> v) {
    sort(v.begin(), v.end());
    v.erase(unique(v.begin(), v.end()), v.end());
    return v;
}
template <class T>
vector<T> compress(vector<T> v) {
    vector<T> v2(v.size());
    v2 = v;
    sort(v.begin(), v.end());
    v.erase(unique(v.begin(), v.end()), v.end());

    for(int i = 0; i < (int)v2.size(); i++) {
        v2[i] = lower_bound(v.begin(), v.end(), v2[i]) - v.begin();
    }
    return v2;
}
vector<int> inverse(vector<int> &p) {
    int n = p.size();
    vector<int> inv(n);
    for(int i = 0; i < n; i++) inv[p[i]] = i;
    return inv;
}
template <typename T>
vector<pair<T, int>> idx_pair(vector<T> &a) {
    int n = a.size();
    vector<pair<T, int>> res(n);
    for(int i = 0; i < n; i++) res[i] = {a[i], i};
    return res;
}
template <typename T>
vector<T> acc0(vector<T> &v) {
    vector<T> res(v.size());
    if((int)v.size() == 0) return res;
    res[0] = v[0];
    for(int i = 1; i < (int)v.size(); i++) {
        res[i] = res[i - 1] + v[i];
    }
    return res;
}
template <typename T>
vector<T> acc1(vector<T> &v) {
    vector<T> res(v.size() + 1);
    for(int i = 0; i < (int)v.size(); i++) {
        res[i + 1] = res[i] + v[i];
    }
    return res;
}
template <typename T>
vector<vector<T>> acc0(vector<vector<T>> v) {
    int h = v.size(), w = v[0].size();
    for(int i = 0; i < h; i++) {
        for(int j = 1; j < w; j++) {
            v[i][j] += v[i][j - 1];
        }
    }
    for(int i = 1; i < h; i++) {
        for(int j = 0; j < w; j++) {
            v[i][j] += v[i - 1][j];
        }
    }
    return v;
}
template <typename T>
vector<vector<T>> acc1(vector<vector<T>> &v) {
    int h = v.size(), w = v[0].size();
    vector<vector<T>> res(h + 1, vector<T>(w + 1));
    for(int i = 0; i < h; i++) {
        for(int j = 0; j < w; j++) {
            res[i + 1][j + 1] = v[i][j] + res[i + 1][j];
        }
    }
    for(int i = 0; i < h; i++) {
        for(int j = 0; j < w; j++) {
            res[i + 1][j + 1] += res[i][j + 1];
        }
    }
    return res;
}
template <class T>
void erase1(multiset<T> &st, int x) {
    auto it = st.find(x);
    assert(it != st.end());
    st.erase(it);
}

long long exp(long long x, int n) {
    long long res = 1;
    while(n > 0) {
        if(n & 1) res = res * x;
        x = x * x;
        n >>= 1;
    }
    return res;
}
int countDigits(long long n) {
    string tmp = to_string(n);
    return (int)tmp.size();
}
long long sq(long long n) {
    return n * n;
}
long long ceil(long long x, long long y) {
    return (x + y - 1) / y;
}
long long floor(long long x, long long y) {
    return (y < 0 ? floor(-x, -y)
                  : (x > 0 ? x / y : x / y - (x % y == 0 ? 0 : 1)));
}
constexpr long long tri(long long n) {
    return n * (n + 1) / 2;
}
// l + ... + r
constexpr long long tri(long long l, long long r) {
    return (l + r) * (r - l + 1) / 2;
}
int ctoi(const char &c, const char start = '0') {
    return c - start;
}
int atoi(const char &c, const char start = 'a') {
    return c - start;
}
vector<int> ctoi(string &s, const char start = '0') {
    vector<int> res;
    for(auto &c : s) {
        int x = c - start;
        if(x < 0 || x >= 10) x = -1;
        res.push_back(x);
    }
    return res;
}
vector<int> atoi(string &s, const char start = 'a') {
    vector<int> res;
    for(auto &c : s) {
        int x = c - start;
        if(x < 0 || x >= 26) x = -1;
        res.push_back(x);
    }
    return res;
}
void yes() {
    cout << "Yes" << endl;
}
void no() {
    cout << "No" << endl;
}
void yesno(bool x) {
    if(x)
        yes();
    else
        no();
}
void err() {
    cout << -1 << endl;
}

int dx[] = {1, 0, -1, 0, 1, 1, -1, -1};
int dy[] = {0, 1, 0, -1, -1, 1, 1, -1};

long long inf = (1 << 30) + (1LL << 60) - 2;
double eps = 1e-9;

// long long mod = 67280421310721;
// using mint = static_modint<1000000009>;
// using mint = dynamic_modint<1000000009>;
// long long mod = 1000000007;
// using mint = modint1000000007;
// long long mod = 998244353;
// using mint = modint998244353;
// typedef vector<mint> vm;
// typedef vector<vector<mint>> vvm;
// typedef vector<vector<vector<mint>>> vvvm;
// Binomial C(mod);
// modpow<mint> mtwo(2), mten(10);
////////////////////////////////////////////////////////////////////////////////////////////
/*
https://math314.hateblo.jp/entry/2015/05/07/014908
を参考に

int32mod_convolution(vector<ll> a, vector<ll> b, int mod):O(n log n)
*/

template <class T>
T extgcd(T a, T b, T &x, T &y) {
    for(T u = y = 1, v = x = 0; a;) {
        T q = b / a;
        swap(x -= q * u, u);
        swap(y -= q * v, v);
        swap(b -= q * a, a);
    }
    return b;
}
template <class T>
T inv_mod(T a, T m) {
    T x, y;
    extgcd(a, m, x, y);
    return (m + x % m) % m;
}

template <int mod, int primitive_root>
class NTT {
   public:
    int get_mod() const {
        return mod;
    }
    void _ntt(vector<ll> &a, int sign) {
        const int n = a.size();
        assert((n ^ (n & -n)) == 0);  // n = 2^k

        const int g = 3;  // g is primitive root of mod
        int h = (int)pow_mod(g, (mod - 1) / n, mod);  // h^n = 1
        if(sign == -1) h = (int)inv_mod(h, mod);      // h = h^-1 % mod

        // bit reverse
        int i = 0;
        for(int j = 1; j < n - 1; ++j) {
            for(int k = n >> 1; k > (i ^= k); k >>= 1)
                ;
            if(j < i) swap(a[i], a[j]);
        }

        for(int m = 1; m < n; m *= 2) {
            const int m2 = 2 * m;
            const ll base = pow_mod(h, n / m2, mod);
            ll w = 1;
            rep(x, m) {
                for(int s = x; s < n; s += m2) {
                    ll u = a[s];
                    ll d = a[s + m] * w % mod;
                    a[s] = u + d;
                    if(a[s] >= mod) a[s] -= mod;
                    a[s + m] = u - d;
                    if(a[s + m] < 0) a[s + m] += mod;
                }
                w = w * base % mod;
            }
        }

        for(auto &x : a)
            if(x < 0) x += mod;
    }
    void ntt(vector<ll> &input) {
        _ntt(input, 1);
    }
    void intt(vector<ll> &input) {
        _ntt(input, -1);
        const int n_inv = inv_mod((int)input.size(), mod);
        for(auto &x : input) x = x * n_inv % mod;
    }

    // 畳み込み演算を行う
    vector<ll> convolution(const vector<ll> &a, const vector<ll> &b) {
        int ntt_size = 1;
        while(ntt_size < (int)a.size() + (int)b.size()) ntt_size *= 2;

        vector<ll> _a = a, _b = b;
        _a.resize(ntt_size);
        _b.resize(ntt_size);

        ntt(_a);
        ntt(_b);

        rep(i, ntt_size) {
            (_a[i] *= _b[i]) %= mod;
        }

        intt(_a);
        return _a;
    }
};

ll garner(vector<pair<int, int>> mr, int mod) {
    mr.emplace_back(mod, 0);

    vector<ll> coffs(mr.size(), 1);
    vector<ll> constants(mr.size(), 0);
    rep(i, (int)mr.size() - 1) {
        // coffs[i] * v + constants[i] == mr[i].second (mod mr[i].first) を解く
        ll v = (mr[i].second - constants[i]) *
               inv_mod<ll>(coffs[i], mr[i].first) % mr[i].first;
        if(v < 0) v += mr[i].first;

        for(int j = i + 1; j < (int)mr.size(); j++) {
            (constants[j] += coffs[j] * v) %= mr[j].first;
            (coffs[j] *= mr[i].first) %= mr[j].first;
        }
    }

    return constants[(int)mr.size() - 1];
}

typedef NTT<167772161, 3> NTT_1;
typedef NTT<469762049, 3> NTT_2;
typedef NTT<1224736769, 3> NTT_3;

// 任意のmodで畳み込み演算 O(n log n)
vector<ll> int32mod_convolution(vector<ll> a, vector<ll> b, int mod) {
    for(auto &x : a) x %= mod;
    for(auto &x : b) x %= mod;
    NTT_1 ntt1;
    NTT_2 ntt2;
    NTT_3 ntt3;
    auto x = ntt1.convolution(a, b);
    auto y = ntt2.convolution(a, b);
    auto z = ntt3.convolution(a, b);

    vector<ll> ret(x.size());
    vector<pair<int, int>> mr(3);
    rep(i, x.size()) {
        mr[0].first = ntt1.get_mod(), mr[0].second = (int)x[i];
        mr[1].first = ntt2.get_mod(), mr[1].second = (int)y[i];
        mr[2].first = ntt3.get_mod(), mr[2].second = (int)z[i];
        ret[i] = garner(mr, mod);
    }

    return ret;
}
////////////////////////////////////////////////////////////////////////////////////////////

signed main() {
    int testcase = 1;
    // cin >> testcase;
    for(int i = 0; i < testcase; i++) {
        solve();
    }
}

void solve() {
    int n;
    cin >> n;
    vi a(n + 1);
    cin >> a;
    if(n == 0 && a[0] == 0) {
        out(0);
        rout(0);
    }
    int m;
    cin >> m;
    vi b(m + 1);
    cin >> b;
    if(m == 0 && b[0] == 0) {
        out(0);
        rout(0);
    }

    int mod = 258280327;

    auto ans = int32mod_convolution(a, b, mod);
    ans.resize(n + m + 1);
    out(n + m);
    out(ans);
}
yukicoder

結果

テストケース

ソースコード
