結果

問題 No.1810 RGB Biscuits
ユーザー ei1333333ei1333333
提出日時 2022-01-14 22:30:24
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 4 ms / 2,000 ms
コード長 4,645 bytes
コンパイル時間 4,217 ms
コンパイル使用メモリ 252,892 KB
最終ジャッジ日時 2025-01-27 11:49:15
ジャッジサーバーID
(参考情報)
judge3 / judge4
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ファイルパターン 結果
sample AC * 2
other AC * 20
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

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using int64 = long long;
const int mod = 1e9 + 7;
// const int mod = 998244353;
const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;
struct IoSetup {
IoSetup() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
cerr << fixed << setprecision(10);
}
} iosetup;
template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 > &p) {
os << p.first << " " << p.second;
return os;
}
template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
is >> p.first >> p.second;
return is;
}
template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
for(int i = 0; i < (int) v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
for(T &in: v) is >> in;
return is;
}
template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }
template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }
template< typename T = int64 >
vector< T > make_v(size_t a) {
return vector< T >(a);
}
template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}
template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
t = v;
}
template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
for(auto &e: t) fill_v(e, v);
}
template< typename F >
struct FixPoint : F {
FixPoint(F &&f) : F(forward< F >(f)) {}
template< typename... Args >
decltype(auto) operator()(Args &&... args) const {
return F::operator()(*this, forward< Args >(args)...);
}
};
template< typename F >
inline decltype(auto) MFP(F &&f) {
return FixPoint< F >{forward< F >(f)};
}
/**
* @brief Square-Matrix()
*/
template< class T, size_t N >
struct SquareMatrix {
array< array< T, N >, N > A;
SquareMatrix() : A{{}} {}
size_t size() const { return N; }
inline const array< T, N > &operator[](int k) const {
return (A.at(k));
}
inline array< T, N > &operator[](int k) {
return (A.at(k));
}
static SquareMatrix add_identity() {
return SquareMatrix();
}
static SquareMatrix mul_identity() {
SquareMatrix mat;
for(size_t i = 0; i < N; i++) mat[i][i] = 1;
return mat;
}
SquareMatrix &operator+=(const SquareMatrix &B) {
for(size_t i = 0; i < N; i++) {
for(size_t j = 0; j < N; j++) {
(*this)[i][j] += B[i][j];
}
}
return *this;
}
SquareMatrix &operator-=(const SquareMatrix &B) {
for(size_t i = 0; i < N; i++) {
for(size_t j = 0; j < N; j++) {
(*this)[i][j] -= B[i][j];
}
}
return *this;
}
SquareMatrix &operator*=(const SquareMatrix &B) {
array< array< T, N >, N > C;
for(size_t i = 0; i < N; i++) {
for(size_t j = 0; j < N; j++) {
for(size_t k = 0; k < N; k++) {
C[i][j] = (C[i][j] + (*this)[i][k] * B[k][j]);
}
}
}
A.swap(C);
return (*this);
}
SquareMatrix &operator^=(uint64_t k) {
SquareMatrix B = SquareMatrix::mul_identity();
while(k > 0) {
if(k & 1) B *= *this;
*this *= *this;
k >>= 1LL;
}
A.swap(B.A);
return *this;
}
SquareMatrix operator+(const SquareMatrix &B) const {
return SquareMatrix(*this) += B;
}
SquareMatrix operator-(const SquareMatrix &B) const {
return SquareMatrix(*this) -= B;
}
SquareMatrix operator*(const SquareMatrix &B) const {
return SquareMatrix(*this) *= B;
}
SquareMatrix operator^(uint64_t k) const {
return SquareMatrix(*this) ^= k;
}
friend ostream &operator<<(ostream &os, SquareMatrix &p) {
for(int i = 0; i < N; i++) {
os << "[";
for(int j = 0; j < N; j++) {
os << p[i][j] << (j + 1 == N ? "]\n" : ",");
}
}
return os;
}
};
using mint = atcoder::modint1000000007;
int main() {
int A, B, N;
cin >> A >> B >> N;
while(N--) {
int64 T;
cin >> T;
SquareMatrix< mint, 2 > dp;
// (X,Y,0)->(X,Y,Z=AX+BY)->(AX+BY,X)
dp[0][0] = A;
dp[1][0] = B;
dp[0][1] = 1;
dp ^= T / 2;
auto S = dp[0][0] + dp[0][1] + dp[1][0] + dp[1][1].val();
if(T & 1) {
S += (dp[0][0] + dp[1][0].val()) * A + (dp[0][1] + dp[1][1].val()) * B;
}
cout << S.val() << "\n";
}
}
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