結果
問題 | No.1417 100の倍数かつ正整数(2) |
ユーザー |
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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 |
ソースコード
#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];}