結果
| 問題 |
No.1417 100の倍数かつ正整数(2)
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2021-03-06 00:26:29 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 28 ms / 3,000 ms |
| コード長 | 4,280 bytes |
| コンパイル時間 | 1,823 ms |
| コンパイル使用メモリ | 195,480 KB |
| 最終ジャッジ日時 | 2025-01-19 12:08:59 |
|
ジャッジサーバーID (参考情報) |
judge5 / judge2 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 36 |
コンパイルメッセージ
000.cpp: In function ‘int main()’: 000.cpp:42:9: warning: format ‘%lld’ expects argument of type ‘long long int’, but argument 2 has type ‘cplib::modint<1000000007>’ [-Wformat=]
ソースコード
#line 1 "000.cpp"
#include <bits/stdc++.h>
using namespace std::literals::string_literals;
using i64 = std::int_fast64_t;
using std::cout;
using std::cerr;
using std::endl;
using std::cin;
template<typename T> std::vector<T> make_v(size_t a){return std::vector<T>(a);}
template<typename T, typename... Ts> auto make_v(size_t a, Ts... ts){
return std::vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}
#line 1 "/home/ecasdqina/cpcpp/libs/library_cpp/math/modint.hpp"
#line 5 "/home/ecasdqina/cpcpp/libs/library_cpp/math/modint.hpp"
namespace cplib {
template <std::uint_fast64_t Modulus>
class modint {
using u32 = std::uint_fast32_t;
using u64 = std::uint_fast64_t;
using i32 = std::int_fast32_t;
using i64 = std::int_fast64_t;
inline u64 apply(i64 x) { return (x < 0 ? x + Modulus : x); };
public:
u64 a;
static constexpr u64 mod = Modulus;
constexpr modint(const i64& x = 0) noexcept: a(apply(x % (i64)Modulus)) {}
constexpr modint operator+(const modint& rhs) const noexcept { return modint(*this) += rhs; }
constexpr modint operator-(const modint& rhs) const noexcept { return modint(*this) -= rhs; }
constexpr modint operator*(const modint& rhs) const noexcept { return modint(*this) *= rhs; }
constexpr modint operator/(const modint& rhs) const noexcept { return modint(*this) /= rhs; }
constexpr modint operator^(const u64& k) const noexcept { return modint(*this) ^= k; }
constexpr modint operator^(const modint& k) const noexcept { return modint(*this) ^= k.value(); }
constexpr modint operator-() const noexcept { return modint(Modulus - a); }
constexpr modint operator++() noexcept { return (*this) = modint(*this) + 1; }
constexpr modint operator--() noexcept { return (*this) = modint(*this) - 1; }
const bool operator==(const modint& rhs) const noexcept { return a == rhs.a; };
const bool operator!=(const modint& rhs) const noexcept { return a != rhs.a; };
const bool operator<=(const modint& rhs) const noexcept { return a <= rhs.a; };
const bool operator>=(const modint& rhs) const noexcept { return a >= rhs.a; };
const bool operator<(const modint& rhs) const noexcept { return a < rhs.a; };
const bool operator>(const modint& rhs) const noexcept { return a > rhs.a; };
constexpr modint& operator+=(const modint& rhs) noexcept {
a += rhs.a;
if (a >= Modulus) a -= Modulus;
return *this;
}
constexpr modint& operator-=(const modint& rhs) noexcept {
if (a < rhs.a) a += Modulus;
a -= rhs.a;
return *this;
}
constexpr modint& operator*=(const modint& rhs) noexcept {
a = a * rhs.a % Modulus;
return *this;
}
constexpr modint& operator/=(modint rhs) noexcept {
u64 exp = Modulus - 2;
while (exp) {
if (exp % 2) (*this) *= rhs;
rhs *= rhs;
exp /= 2;
}
return *this;
}
constexpr modint& operator^=(u64 k) noexcept {
auto b = modint(1);
while(k) {
if(k & 1) b = b * (*this);
(*this) *= (*this);
k >>= 1;
}
return (*this) = b;
}
constexpr modint& operator=(const modint& rhs) noexcept {
a = rhs.a;
return (*this);
}
const modint inverse() const {
return modint(1) / *this;
}
const modint power(i64 k) const {
if(k < 0) return modint(*this).inverse() ^ (-k);
return modint(*this) ^ k;
}
explicit operator bool() const { return a; }
explicit operator u64() const { return a; }
constexpr u64& value() noexcept { return a; }
constexpr const u64& value() const noexcept { return a; }
friend std::ostream& operator<<(std::ostream& os, const modint& p) {
return os << p.a;
}
friend std::istream& operator>>(std::istream& is, modint& p) {
u64 t;
is >> t;
p = modint(t);
return is;
}
};
}
#line 15 "000.cpp"
using mint = cplib::modint<1'000'000'007>;
int main() {
std::string s; cin >> s;
std::vector<mint> dp0(100), dp1(100); dp1[1] = 1;
for(int i = 0; i < s.size(); i++) {
const int D = s[i] - '0';
std::vector<mint> nxt0(100), nxt1(100);
for(int j = 0; j < 100; j++) {
for(int d = 1; d <= 9; d++) {
if(d < D) {
nxt0[j * d % 100] += dp0[j] + dp1[j];
} else if(d == D) {
nxt0[j * d % 100] += dp0[j];
nxt1[j * d % 100] += dp1[j];
} else {
nxt0[j * d % 100] += dp0[j];
}
}
}
nxt0[1] += 1;
dp0.swap(nxt0);
dp1.swap(nxt1);
}
printf("%lld\n", dp0[0] + dp1[0]);
return 0;
}