#include <ctime>
#include <cstdio>
#define nya(neko...) fprintf(stderr, neko)
__attribute__((destructor))
inline void ptime() {
nya("\nTime: %.3lf(s)\n", 1. * clock() / CLOCKS_PER_SEC);
}
#include <cmath>
#include <random>
#include <vector>
#include <algorithm>
using ll = long long;
using vec = std::vector<ll>;
constexpr ll mod = 998244353, gen = 3;
constexpr ll inv2 = (mod + 1) / 2;
constexpr int maxn = 3E+5 + 5;
inline ll fsp(ll a, ll b, ll res = 1) {
for(a %= mod; b; a = a * a % mod, b >>= 1)
b & 1 && (res = res * a % mod); return res;
}
namespace IObuf {
using IObuf_t = int;
constexpr int LEN = 1 << 20;
char ibuf[LEN + 5], *p1 = ibuf, *p2 = ibuf;
char obuf[LEN + 5], *p3 = obuf;
inline char get() {
#ifdef WHX1003
return getchar();
#else
return p1 == p2 && (p2 = (p1 = ibuf) + fread(ibuf, 1, LEN, stdin), p1 == p2) ? EOF : *p1++;
#endif
}
inline IObuf_t getint(char c = get(), IObuf_t x = 0, IObuf_t op = 1) {
while(c < '0' || c > '9') c == '-' && (op = -op), c = get();
while(c >= '0' && c <= '9') x = x * 10 + c - 48, c = get();
return x * op;
}
__attribute__((destructor))
inline char* flush() { fwrite(obuf, 1, p3 - obuf, stdout); return p3 = obuf; }
inline void put(char c) {
#ifdef WHX1003
putchar(c);
#else
p3 == obuf + LEN && flush(); *p3++ = c; return;
#endif
}
inline void putint(IObuf_t x, char suf = '\n') {
static char sta[30];
static int top = 0;
if(x < 0) put('-'), x = -x;
if(!x) put('0');
else {
while(x) sta[++top] = x % 10 + 48, x /= 10;
while(top) put(sta[top--]);
} put(suf);
}
inline void putstr(const char *s, char suf = '\n') {
while(*s != '\0') put(*s++);
put(suf);
}
} // IObuf
using IObuf::getint;
using IObuf::putint;
using IObuf::putstr;
inline constexpr ll Add(ll x, ll y) { return x + y >= mod ? x + y - mod : x + y; }
inline constexpr ll Sub(ll x, ll y) { return x < y ? x - y + mod : x - y; }
namespace NTT_namespace {
#define ctz(x) __builtin_ctz(x)
constexpr int rank2 = ctz(mod - 1);
ll root[rank2 + 1]; // root[i]^(2^i) == 1
ll iroot[rank2 + 1]; // root[i] * iroot[i] == 1
ll rate2[rank2], irate2[rank2];
ll rate3[rank2], irate3[rank2];
__attribute__((constructor))
inline void NTTpre() {
root[rank2] = fsp(gen, mod - 1 >> rank2);
iroot[rank2] = fsp(root[rank2], mod - 2);
for(int i = rank2 - 1; i >= 0; --i) {
root[i] = root[i + 1] * root[i + 1] % mod;
iroot[i] = iroot[i + 1] * iroot[i + 1] % mod;
}
{
ll prod = 1, iprod = 1;
for (int i = 0; i <= rank2 - 2; i++) {
rate2[i] = root[i + 2] * prod % mod;
irate2[i] = iroot[i + 2] * iprod % mod;
prod = prod * iroot[i + 2] % mod;
iprod = iprod * root[i + 2] % mod;
}
}
{
ll prod = 1, iprod = 1;
for(int i = 0; i <= rank2 - 3; i++) {
rate3[i] = root[i + 3] * prod % mod;
irate3[i] = iroot[i + 3] * iprod % mod;
prod = prod * iroot[i + 3] % mod;
iprod = iprod * root[i + 3] % mod;
}
}
}
inline void butterfly(ll *a, int h) {
int len = 0; // a[i, i+(n>>len), i+2*(n>>len), ..] is transformed
while(len < h) {
if(h - len == 1) {
int p = 1 << (h - len - 1);
ll rot = 1;
for(int s = 0; s < (1 << len); ++s) {
int offset = s << (h - len);
for(int i = 0; i < p; ++i) {
ll l = a[i + offset];
ll r = a[i + offset + p] * rot % mod;
a[i + offset] = Add(l, r);
a[i + offset + p] = Sub(l, r);
}
if(s + 1 != (1 << len))
rot = rot * rate2[ctz(~(unsigned int)(s))] % mod;
}
++len;
} else {
// 4-base
int p = 1 << (h - len - 2);
ll rot = 1, imag = root[2];
for(int s = 0; s < (1 << len); ++s) {
ll rot2 = rot * rot % mod;
ll rot3 = rot2 * rot % mod;
int offset = s << (h - len);
for(int i = 0; i < p; ++i) {
ll mod2 = mod * mod;
ll a0 = a[i + offset + 0 * p];
ll a1 = a[i + offset + 1 * p] * rot;
ll a2 = a[i + offset + 2 * p] * rot2;
ll a3 = a[i + offset + 3 * p] * rot3;
ll a1na3imag = (a1 + mod2 - a3) % mod * imag;
ll na2 = mod2 - a2;
a[i + offset] = (a0 + a2 + a1 + a3) % mod;
a[i + offset + 1 * p] = (a0 + a2 + (2 * mod2 - (a1 + a3))) % mod;
a[i + offset + 2 * p] = (a0 + na2 + a1na3imag) % mod;
a[i + offset + 3 * p] = (a0 + na2 + (mod2 - a1na3imag)) % mod;
}
if(s + 1 != (1 << len))
rot = rot * rate3[ctz(~(unsigned int)(s))] % mod;
}
len += 2;
}
}
}
inline void invbutterfly(ll *a, int h) {
int len = h; // a[i, i+(n>>len), i+2*(n>>len), ..] is transformed
while(len) {
if(len == 1) {
int p = 1 << (h - len);
ll irot = 1;
for(int s = 0; s < (1 << (len - 1)); ++s) {
int offset = s << (h - len + 1);
for(int i = 0; i < p; ++i) {
ll l = a[i + offset];
ll r = a[i + offset + p];
a[i + offset] = Add(l, r);
a[i + offset + p] = Sub(l, r) * irot % mod;
}
if (s + 1 != (1 << (len - 1)))
irot = irot * irate2[ctz(~(unsigned int)(s))] % mod;
}
--len;
} else {
// 4-base
int p = 1 << (h - len);
ll irot = 1, iimag = iroot[2];
for(int s = 0; s < (1 << (len - 2)); ++s) {
ll irot2 = irot * irot % mod;
ll irot3 = irot2 * irot % mod;
int offset = s << (h - len + 2);
for(int i = 0; i < p; ++i) {
ll a0 = a[i + offset + 0 * p];
ll a1 = a[i + offset + 1 * p];
ll a2 = a[i + offset + 2 * p];
ll a3 = a[i + offset + 3 * p];
ll a2na3iimag = Sub(a2, a3) * iimag % mod;
a[i + offset] = (a0 + a1 + a2 + a3) % mod;
a[i + offset + 1 * p] = (a0 + (mod - a1) + a2na3iimag) * irot % mod;
a[i + offset + 2 * p] = (a0 + a1 + (mod - a2) + (mod - a3)) * irot2 % mod;
a[i + offset + 3 * p] = (a0 + (mod - a1) + (mod - a2na3iimag)) * irot3 % mod;
}
if(s + 1 != (1 << (len - 2)))
irot = irot * irate3[ctz(~(unsigned int)(s))] % mod;
}
len -= 2;
}
}
int N = 1 << h;
ll invN = fsp(N, mod - 2);
for(int i = 0; i < N; ++i) a[i] = a[i] * invN % mod;
}
inline void NTT(ll *f, int bit, int op) {
if(op == 1) butterfly(f, bit);
else invbutterfly(f, bit);
}
#undef ctz
} // NTT_namespace
using NTT_namespace::NTT;
int n, m;
ll F[maxn], G[maxn];
inline void mul() {
if(std::max(n, m) <= 128) {
static ll res[maxn];
for(int i = 0; i <= n; ++i)
for(int j = 0; j <= m; ++j)
(res[i + j] += F[i] * G[j]) %= mod;
for(int i = 0; i <= n + m; ++i) F[i] = res[i];
return;
}
int bit = 0, N = 1;
while(N <= n + m) ++bit, N <<= 1;
NTT(F, bit, 1), NTT(G, bit, 1);
for(int i = 0; i < N; ++i)
F[i] = F[i] * G[i] % mod;
NTT(F, bit, -1);
}
int main() {
n = getint(), m = getint();
for(int i = 0; i <= n; ++i) F[i] = getint();
for(int i = 0; i <= m; ++i) G[i] = getint();
mul();
for(int i = 0; i <= n + m; ++i) putint(F[i], ' ');
}
Compilation | N/A | N/A | Compile OK | Score: N/A | 显示更多 |
Subtask #1 Testcase #1 | 11.33 us | 48 KB | Accepted | Score: 0 | 显示更多 |
Subtask #1 Testcase #2 | 18.678 ms | 6 MB + 860 KB | Accepted | Score: 100 | 显示更多 |
Subtask #1 Testcase #3 | 7.938 ms | 2 MB + 800 KB | Accepted | Score: 0 | 显示更多 |
Subtask #1 Testcase #4 | 7.936 ms | 2 MB + 780 KB | Accepted | Score: 0 | 显示更多 |
Subtask #1 Testcase #5 | 11.89 us | 48 KB | Accepted | Score: 0 | 显示更多 |
Subtask #1 Testcase #6 | 10.87 us | 48 KB | Accepted | Score: 0 | 显示更多 |
Subtask #1 Testcase #7 | 11.4 us | 48 KB | Accepted | Score: 0 | 显示更多 |
Subtask #1 Testcase #8 | 17.922 ms | 6 MB + 524 KB | Accepted | Score: 0 | 显示更多 |
Subtask #1 Testcase #9 | 17.922 ms | 6 MB + 524 KB | Accepted | Score: 0 | 显示更多 |
Subtask #1 Testcase #10 | 17.15 ms | 6 MB + 84 KB | Accepted | Score: 0 | 显示更多 |
Subtask #1 Testcase #11 | 18.901 ms | 6 MB + 940 KB | Accepted | Score: 0 | 显示更多 |
Subtask #1 Testcase #12 | 15.752 ms | 5 MB + 192 KB | Accepted | Score: 0 | 显示更多 |
Subtask #1 Testcase #13 | 11.21 us | 48 KB | Accepted | Score: 0 | 显示更多 |