結果

問題 No.1417 100の倍数かつ正整数(2)
ユーザー m_tsubasam_tsubasa
提出日時 2021-03-05 21:37:12
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 132 ms / 3,000 ms
コード長 2,596 bytes
コンパイル時間 2,149 ms
コンパイル使用メモリ 206,640 KB
最終ジャッジ日時 2025-01-19 10:44:10
ジャッジサーバーID
(参考情報)
judge5 / judge1
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ファイルパターン 結果
sample AC * 3
other AC * 36
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>
using namespace std;
template <int mod = (int)(1e9 + 7)>
struct ModInt {
int x;
constexpr ModInt() : x(0) {}
constexpr ModInt(int64_t y)
: x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
constexpr ModInt &operator+=(const ModInt &p) noexcept {
if ((x += p.x) >= mod) x -= mod;
return *this;
}
constexpr ModInt &operator-=(const ModInt &p) noexcept {
if ((x += mod - p.x) >= mod) x -= mod;
return *this;
}
constexpr ModInt &operator*=(const ModInt &p) noexcept {
x = (int)(1LL * x * p.x % mod);
return *this;
}
constexpr ModInt &operator/=(const ModInt &p) noexcept {
*this *= p.inverse();
return *this;
}
constexpr ModInt operator-() const { return ModInt(-x); }
constexpr ModInt operator+(const ModInt &p) const noexcept {
return ModInt(*this) += p;
}
constexpr ModInt operator-(const ModInt &p) const noexcept {
return ModInt(*this) -= p;
}
constexpr ModInt operator*(const ModInt &p) const noexcept {
return ModInt(*this) *= p;
}
constexpr ModInt operator/(const ModInt &p) const noexcept {
return ModInt(*this) /= p;
}
constexpr bool operator==(const ModInt &p) const noexcept { return x == p.x; }
constexpr bool operator!=(const ModInt &p) const noexcept { return x != p.x; }
constexpr ModInt inverse() const noexcept {
int a = x, b = mod, u = 1, v = 0, t = 0;
while (b > 0) {
t = a / b;
swap(a -= t * b, b);
swap(u -= t * v, v);
}
return ModInt(u);
}
constexpr ModInt pow(int64_t n) const {
ModInt res(1), mul(x);
while (n) {
if (n & 1) res *= mul;
mul *= mul;
n >>= 1;
}
return res;
}
friend constexpr ostream &operator<<(ostream &os, const ModInt &p) noexcept {
return os << p.x;
}
friend constexpr istream &operator>>(istream &is, ModInt &a) noexcept {
int64_t t = 0;
is >> t;
a = ModInt<mod>(t);
return (is);
}
constexpr int get_mod() { return mod; }
};
using mint = ModInt<>;
int len;
string n;
mint solve();
int main() {
cin >> n;
len = n.size();
cout << solve() << endl;
return 0;
}
mint solve() {
vector<vector<vector<mint>>> dp;
dp.assign(len + 1, vector(100, vector<mint>(2, 0)));
dp[0][1][0] = 1;
for (int i = 0; i < len; ++i) {
dp[i + 1][1][1] += 1;
for (int j = 0; j < 100; ++j)
for (int p = 1; p < 10; ++p) {
dp[i + 1][(j * p) % 100][1] += dp[i][j][1];
if (p <= n[i] - '0')
dp[i + 1][(j * p) % 100][p < n[i] - '0'] += dp[i][j][0];
}
}
return dp[len][0][0] + dp[len][0][1];
}
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