結果
| 問題 | No.492 IOI数列 |
| コンテスト | |
| ユーザー |
 firiexp
|
| 提出日時 | 2019-10-16 23:02:28 |
| 言語 | C++17(gcc12) (gcc 12.4.0 + boost 1.89.0) |
| 結果 |
CE
(最新)
AC
(最初)
|
| 実行時間 | - |
| コード長 | 4,207 bytes |
| 記録 | |
| コンパイル時間 | 697 ms |
| コンパイル使用メモリ | 101,784 KB |
| 最終ジャッジ日時 | 2026-03-08 21:16:31 |
| 合計ジャッジ時間 | 1,032 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge5 |
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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: In instantiation of ‘struct SquareMatrix<modint<1000000007>, 3>’:
main.cpp:131:9: required from here
main.cpp:58:9: error: ‘SquareMatrix<T, SIZE>::A’ has incomplete type
58 | mat A;
| ^
In file included from /usr/include/c++/12/bits/stl_map.h:63,
from /usr/include/c++/12/map:61,
from main.cpp:4:
/usr/include/c++/12/tuple:1610:45: note: declaration of ‘using mat = struct std::array<std::array<modint<1000000007>, 3>, 3>’ {aka ‘struct std::array<std::array<modint<1000000007>, 3>, 3>’}
1610 | template<typename _Tp, size_t _Nm> struct array;
| ^~~~~
main.cpp: In function ‘int main()’:
main.cpp:132:9: error: no match for ‘operator[]’ (operand types are ‘SquareMatrix<modint<1000000007>, 3>::ar’ {aka ‘std::array<modint<1000000007>, 3>’} and ‘int’)
132 | A[1][0] = 1; A[1][1] = 100; A[2][1] = 1; A[2][2] = 1;
| ^
main.cpp:132:22: error: no match for ‘operator[]’ (operand types are ‘SquareMatrix<modint<1000000007>, 3>::ar’ {aka ‘std::array<modint<1000000007>, 3>’} and ‘int’)
132 | A[1][0] = 1; A[1][1] = 100; A[2][1] = 1; A[2][2] = 1;
| ^
main.cpp:132:37: error: no match for ‘operator[]’ (operand types are ‘SquareMatrix<modint<1000000007>, 3>::ar’ {aka ‘std::array<modint<1000000007>, 3>’} and ‘int’)
132 | A[1][0] = 1; A[1][1] = 100; A[2][1] = 1; A[2][2] = 1;
| ^
main.cpp:132:50: error: no match for ‘operator[]’ (operand types are ‘SquareMatrix<modint<1000000007>, 3>::ar’ {aka ‘std::array<modint<1000000007>, 3>’} and ‘int’)
132 | A[1][0] = 1; A[1][1] = 100; A[2][1] = 1; A[2][2] = 1;
| ^
main.cpp:133:8: error: variable ‘ar x’ has initializer but incomplete type
133 | ar x = {0, 1, 1};
| ^
ソースコード
#include <iostream>
#include <algorithm>
#include <iomanip>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <numeric>
#include <bitset>
#include <cmath>
static const int MOD = 1000000007;
using ll = long long;
using u32 = uint32_t;
using namespace std;
template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;
template<ll M = 1000000007>
struct modint{
ll val;
modint(): val(0){}
template<typename T>
modint(T t){val = t%M; if(val < 0) val += M;}
modint pow(ll k){
modint res(1), x(val);
while(k){
if(k&1) res *= x;
x *= x;
k >>= 1;
}
return res;
}
template<typename T>
modint& operator=(T a){ val = a%M; if(val < 0) val += M; return *this; }
modint inv() {return pow(M-2);}
modint& operator+=(modint a){ val += a.val; if(val >= M) val -= M; return *this;}
modint& operator-=(modint a){ val += M-a.val; if(val >= M) val -= M; return *this;}
modint& operator*=(modint a){ val = 1LL*val*a.val%M; return *this;}
modint& operator/=(modint a){ return (*this) *= a.inv();}
modint operator+(modint a) const {return modint(val) +=a;}
modint operator-(modint a) const {return modint(val) -=a;}
modint operator*(modint a) const {return modint(val) *=a;}
modint operator/(modint a) const {return modint(val) /=a;}
modint operator-(){ return modint(-val);}
bool operator==(const modint a) const {return val == a.val;}
bool operator!=(const modint a) const {return val != a.val;}
bool operator<(const modint a) const {return val < a.val;}
};
using mint = modint<MOD>;
template<class T, size_t SIZE>
struct SquareMatrix {
using ar = array<T, SIZE>;
using mat = array<ar, SIZE>;
mat A;
SquareMatrix() = default;
static SquareMatrix I(T e){
SquareMatrix X;
for (int i = 0; i < SIZE; ++i) {
X[i][i] = e;
}
return X;
}
friend ar operator*=(ar &x, const SquareMatrix &Y) {
for (int i = 0; i < SIZE; ++i) {
for (int j = 0; j < SIZE; ++j) {
x[j] += x[i]*Y[i][j];
}
}
return x;
}
friend ar operator*(ar x, const SquareMatrix &Y) { return x *= Y; }
inline const ar &operator[](int k) const{ return (A.at(k)); }
inline ar &operator[](int k) { return (A.at(k)); }
SquareMatrix &operator+= (const SquareMatrix &B){
for (int i = 0; i < SIZE; ++i) {
for (int j = 0; j < SIZE; ++j) {
(*this)[i][j] += B[i][j];
}
}
return (*this);
}
SquareMatrix &operator-= (const SquareMatrix &B){
for (int i = 0; i < SIZE; ++i) {
for (int j = 0; j < SIZE; ++j) {
(*this)[i][j] -= B[i][j];
}
}
return (*this);
}
SquareMatrix &operator*=(const SquareMatrix &B) {
SquareMatrix C;
for (int i = 0; i < SIZE; ++i) {
for (int j = 0; j < SIZE; ++j) {
for (int k = 0; k < SIZE; ++k) {
C[i][j] += ((*this)[i][k] * B[k][j]);
}
}
}
A.swap(C.A);
return (*this);
}
SquareMatrix pow(ll n) const {
SquareMatrix a = (*this), res = I(T(1));
while(n > 0){
if(n & 1) res *= a;
a *= a;
n >>= 1;
}
return res;
}
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;}
};
using ar = array<mint, 3>;
using mat = SquareMatrix<mint, 3>;
int main() {
ll n;
cin >> n;
mat A;
A[1][0] = 1; A[1][1] = 100; A[2][1] = 1; A[2][2] = 1;
ar x = {0, 1, 1};
x *= A.pow(n);
cout << x[0].val << "\n";
vector<string> s = {"1", "101", "10101", "1010101", "101010101", "10101010101", "1010101010101",
"101010101010101", "10101010101010101", "1010101010101010101", "0"};
cout << s[(n-1)%11] << "\n";
return 0;
}