結果
| 問題 |
No.8046 yukicoderの過去問
|
| コンテスト | |
| ユーザー |
 firiexp
|
| 提出日時 | 2019-10-12 23:14:38 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
CE
(最新)
AC
(最初)
|
| 実行時間 | - |
| コード長 | 6,818 bytes |
| コンパイル時間 | 1,067 ms |
| コンパイル使用メモリ | 89,332 KB |
| 最終ジャッジ日時 | 2024-11-14 21:45:18 |
| 合計ジャッジ時間 | 1,470 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge2 |
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コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。（リジャッジ後のコンパイルエラーは公開されます）
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
コンパイルメッセージ
main.cpp:16:39: error: '::numeric_limits' has not been declared
16 | template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;
| ^~~~~~~~~~~~~~
main.cpp:16:55: error: expected primary-expression before '>' token
16 | template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;
| ^
main.cpp:16:61: error: no matching function for call to 'max()'
16 | template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;
| ~~~~~^~
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/string:50,
from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/locale_classes.h:40,
from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/ios_base.h:41,
from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/ios:42,
from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/ostream:38,
from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/iostream:39,
from main.cpp:1:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:254:5: note: candidate: 'template<class _Tp> constexpr const _Tp& std::max(const _Tp&, const _Tp&)'
254 | max(const _Tp& __a, const _Tp& __b)
| ^~~
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:254:5: note: template argument deduction/substitution failed:
main.cpp:16:61: note: candidate expects 2 arguments, 0 provided
16 | template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;
| ~~~~~^~
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:300:5: note: candidate: 'templat
ソースコード
#include <iostream>
#include <algorithm>
#include <iomanip>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <numeric>
#include <bitset>
static const int MOD = 1000000007;
using ll = int64_t;
using u32 = uint32_t;
using namespace std;
template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;
template<typename T>
T extgcd(T a, T b, T &x ,T &y){
for (T u = y = 1, v = x = 0; a; ) {
ll q = b/a;
swap(x -= q*u, u);
swap(y -= q*v, v);
swap(b -= q*a, a);
}
return b;
}
template<typename T>
T mod_inv(T x, T m){
T s, t;
extgcd(x, m, s, t);
return (m+s)% m;
}
#include <cmath>
namespace FFT {
const int max_base = 18, maxN = 1 << max_base; // N <= 5e5
const double PI = acos(-1);
struct num {
double x{}, y{};
num() = default;
num(double x, double y): x(x), y(y) {}
explicit num(double r): x(cos(r)), y(sin(r)) {}
};
num operator+(num a, num b) { return {a.x + b.x, a.y + b.y}; }
num operator-(num a, num b) { return {a.x - b.x, a.y - b.y}; }
num operator*(num a, num b) { return {a.x * b.x - a.y * b.y, a.x * b.y + a.y * b.x}; }
num conj(num a) {return {a.x, -a.y}; }
num root[maxN];
int rev[maxN];
bool is_root_prepared = false;
void prepare_root(){
if(is_root_prepared) return;
is_root_prepared = true;
root[1] = num(1, 0);
for (int i = 1; i < max_base; ++i) {
num x(2*PI / (1LL << (i+1)));
for (ll j = (1LL << (i-1)); j < (1LL << (i)); ++j) {
root[2*j] = root[j];
root[2*j+1] = root[j]*x;
}
}
}
int base, N;
int lastN = -1;
void prepare_rev(){
if(lastN == N) return;
lastN = N;
for (int i = 0; i < N; ++i) rev[i] = (rev[i >> 1] >> 1) + ((i & 1) << (base - 1));
}
void fft(num *a, num *f){
for (int i = 0; i < N; ++i) f[i] = a[rev[i]];
for (int k = 1; k < N; k <<= 1) {
for (int i = 0; i < N; i += 2*k) {
for (int j = 0; j < k; ++j) {
num z = f[i+j+k]* root[j+k];
f[i+j+k] = f[i+j] - z;
f[i+j] = f[i+j] + z;
}
}
}
}
num a[maxN], b[maxN], c[maxN], f1[maxN], f2[maxN], f3[maxN];
ll A[maxN], B[maxN], C[maxN];
constexpr ll mask1 = (1LL << 11)-1, mask2 = (1LL << 22)-(1LL << 11), mask3 = (1LL << 33) - (1LL << 22);
void multi_mod(int m){
for (int i = 0; i < N; ++i) {
a[i] = num( A[i] & mask1, (A[i] & mask2) >> 11);
}
for (int i = 0; i < N; ++i) {
b[i] = num( B[i] & mask1, (B[i] & mask2) >> 11);
}
for (int i = 0; i < N; ++i) {
c[i] = num((A[i] & mask3) >> 22, (B[i] & mask3) >> 22);
}
fft(a, f1);
fft(b, f2);
fft(c, f3);
for (int i = 0; i < N; ++i) {
int j = (N-i)&(N-1);
num a1 = (f1[i] + conj(f1[j])) * num(0.5, 0);
num a2 = (f1[i] - conj(f1[j])) * num(0, -0.5);
num a3 = (f3[i] + conj(f3[j])) * num(0.5, 0);
num b1 = (f2[i] + conj(f2[j])) * num(0.5/N, 0);
num b2 = (f2[i] - conj(f2[j])) * num(0, -0.5/N);
num b3 = (f3[i] - conj(f3[j])) * num(0, -0.5/N);
a[j] = a1*b1 + (a1*b2 + a2*b1) * num(0, 1);
b[j] = (a1*b3 + a2*b2 + a3*b1) + (a2*b3 + a3*b2) * num(0, 1);
c[j] = a3*b3;
}
fft(a, f1);
fft(b, f2);
fft(c, f3);
for (int i = 0; i < N; ++i) {
ll k1 = f1[i].x + 0.5;
ll k2 = f1[i].y + 0.5;
ll k3 = f2[i].x + 0.5;
ll k4 = f2[i].y + 0.5;
ll k5 = f3[i].x + 0.5;
C[i] = (k1 + ((k2 + ((k3 + ((k4 + (k5 << 11) % m) << 11) % m) << 11) % m) << 11)) % m;
}
}
void prepare_AB(int n1, int n2){
base = 1;
N = 2;
while(N < n1+n2) base++, N <<= 1;
for (int i = n1; i < N; ++i) A[i] = 0;
for (int i = n2; i < N; ++i) B[i] = 0;
prepare_root();
prepare_rev();
}
void multi_mod(int n1, int n2, int m){
prepare_AB(n1, n2);
multi_mod(m);
}
}
struct poly {
vector<int> v;
poly() = default;
explicit poly(vector<int> vv) : v(std::move(vv)) {};
int size() const {return (int)v.size(); }
poly cut(int len){
if(len < v.size()) v.resize(static_cast<unsigned long>(len));
return *this;
}
inline int& operator[] (int i) {return v[i]; }
poly inv() const {
int n = size();
vector<int> rr(1, mod_inv(this->v[0], MOD));
poly r(rr);
for (int k = 2; k <= n; k <<= 1) {
vector<int> u(k);
for (int i = 0; i < k; ++i) {
u[i] = this->v[i];
}
poly ff(u);
poly nr = (r*r);
nr = nr*ff;
nr.cut(k);
for (int i = 0; i < k/2; ++i) {
nr[i] = (2*r[i]-nr[i]+MOD)%MOD;
nr[i+k/2] = (MOD-nr[i+k/2])%MOD;
}
r = nr;
}
r.v.resize(n);
return r;
}
poly operator+(const poly &a) const { return poly(*this) += a; }
poly operator-(const poly &a) const { return poly(*this) -= a; }
poly operator*(const poly &a) const { return poly(*this) *= a; }
poly operator/(const poly &a) const { return poly(*this) /= a; }
poly& operator+=(const poly &a) {
this->v.resize(max(size(), a.size()));
for (int i = 0; i < a.size(); ++i) {
(this->v[i] += a.v[i]);
if(this->v[i] > MOD) this->v[i] -= MOD;
}
return *this;
}
poly& operator-=(const poly &a) {
this->v.resize(max(size(), a.size()));
for (int i = 0; i < a.size(); ++i) {
(this->v[i] += MOD-a.v[i]);
if(this->v[i] > MOD) this->v[i] -= MOD;
}
return *this;
}
poly& operator*=(const poly &a) {
for (int i = 0; i < size(); ++i) FFT::A[i] = this->v[i];
for (int i = 0; i < a.size(); ++i) FFT::B[i] = a.v[i];
FFT::multi_mod(size(), a.size(), MOD);
this->v.resize(size() + a.size()-1);
for (int i = 0; i < size(); ++i) this->v[i] = FFT::C[i];
return *this;
}
poly& operator/=(const poly &a){
return (*this *= a.inv());
}
};
int main() {
int k, n;
cin >> k >> n;
int maxi = 0;
vector<int> v(n);
for (auto &&i : v) {
scanf("%d", &i);
maxi = max(maxi, i);
}
vector<int> p(1<<17, 0);
for (int i = 0; i < n; ++i) {
p[v[i]] = MOD-1;
}
p[0] = 1;
poly pp(p);
poly ppinv = pp.inv();
cout << ppinv[k] << "\n";
return 0;
}