結果
問題 | No.931 Multiplicative Convolution |
ユーザー | heno239 |
提出日時 | 2020-08-10 02:03:02 |
言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 231 ms / 2,000 ms |
コード長 | 4,934 bytes |
コンパイル時間 | 1,284 ms |
コンパイル使用メモリ | 122,176 KB |
実行使用メモリ | 35,484 KB |
最終ジャッジ日時 | 2024-10-06 00:51:28 |
合計ジャッジ時間 | 3,933 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge5 |
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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 | 7 ms
19,784 KB |
testcase_01 | AC | 6 ms
19,784 KB |
testcase_02 | AC | 7 ms
19,908 KB |
testcase_03 | AC | 7 ms
19,780 KB |
testcase_04 | AC | 7 ms
19,776 KB |
testcase_05 | AC | 7 ms
19,908 KB |
testcase_06 | AC | 8 ms
20,036 KB |
testcase_07 | AC | 26 ms
21,572 KB |
testcase_08 | AC | 183 ms
35,380 KB |
testcase_09 | AC | 30 ms
24,412 KB |
testcase_10 | AC | 155 ms
35,160 KB |
testcase_11 | AC | 157 ms
35,176 KB |
testcase_12 | AC | 95 ms
28,156 KB |
testcase_13 | AC | 231 ms
35,236 KB |
testcase_14 | AC | 191 ms
35,376 KB |
testcase_15 | AC | 183 ms
35,484 KB |
testcase_16 | AC | 182 ms
35,356 KB |
コンパイルメッセージ
main.cpp: In function 'void solve()': main.cpp:197:23: warning: 'r' may be used uninitialized [-Wmaybe-uninitialized] 197 | t = t * r % p; | ~~^~~ main.cpp:185:13: note: 'r' was declared here 185 | int r; | ^
ソースコード
#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<utility> #include<cassert> #include<complex> #include<numeric> 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 = acos(-1.0); ll mod_pow(ll x, ll n, ll m=mod) { 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)); } const int max_n = 1 << 20; 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]; } ll gcd(ll a, ll b) { if (a < b)swap(a, b); while (b) { ll r = a % b; a = b; b = r; } return a; } ll mod_inverse(ll a) { return mod_pow(a, mod - 2,mod); } ll root[24], invroot[24]; void init() { rep(i, 24) { int n = (1 << i); root[i] = mod_pow(3, (mod - 1) / n,mod); invroot[i] = mod_inverse(root[i]); } } typedef vector <ll> poly; poly dft(poly f, bool inverse = false) { int n = f.size(); int i, j, k; //bit左右反転 for (i = 0, j = 1; j < n - 1; j++) { for (k = n >> 1; k > (i ^= k); k >>= 1); if (i > j)swap(f[i], f[j]); } for (int j = 1; (1 << j) <= n; j++) { int m = 1 << j; ll zeta = root[j]; if (inverse)zeta = invroot[j]; for (i = 0; i < n; i += m) { ll powzeta = 1; for (k = i; k < i + m / 2; k++) { ll t1 = f[k], t2 = powzeta * f[k + m / 2] % mod; f[k] = t1 + t2; while (f[k] >= mod)f[k] -= mod; f[k + m / 2] = t1 - t2 + mod; while (f[k + m / 2] >= mod)f[k + m / 2] -= mod; (powzeta *= zeta) %= mod; } } } if (inverse) { ll rv = mod_inverse(n); for (i = 0; i < n; i++) { (f[i] *= rv) %= mod; } } return f; } poly multiply(poly g, poly h) { int n = 1; int pi = 0, qi = 0; rep(i, g.size())if (g[i])pi = i; rep(i, h.size())if (h[i])qi = i; int sz = pi + qi + 2; while (n < sz)n *= 2; g.resize(n); h.resize(n); /*while (g.size() < n) { g.push_back(0); } while (h.size() < n) { h.push_back(0); }*/ poly gg = dft(g); poly hh = dft(h); poly ff; ff.resize(n); rep(i, n) { ff[i] = gg[i] * hh[i] % mod; } return dft(ff, true); } ll p; bool isr(int r) { int t = 1; vector<int> cnt(p); rep(x, p - 1) { cnt[t]++; t = t * r % p; } rep1(i, p-1) { if (cnt[i] != 1)return false; } return true; } void solve() { init(); cin >> p; int r; rep1(i, p-1) { if (isr(i)) { r = i; break; } } vector<int> trans(p); vector<ll> val(p); trans[1] = 0; int t = 1; val[0] = 1; rep1(i, p - 2) { t = t * r % p; trans[t] = i; val[i] = t; } poly a(p),b(p); rep1(i, p - 1)cin >> a[trans[i]]; rep1(i, p - 1)cin >> b[trans[i]]; vector<modint> ans(p); poly c = multiply(a, b); rep(i, c.size()) { ans[val[i%(p-1)]] += c[i]; } rep1(i, p - 1) { if (i > 1)cout << " "; cout << ans[i]; } cout << "\n"; } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(10); //init_f(); //expr(); //int t; cin >> t; rep(i, t) solve(); return 0; }