結果

問題 No.1417 100の倍数かつ正整数(2)
ユーザー siro53siro53
提出日時 2021-03-06 01:55:47
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 32 ms / 3,000 ms
コード長 4,481 bytes
コンパイル時間 1,988 ms
コンパイル使用メモリ 193,612 KB
最終ジャッジ日時 2025-01-19 12:14:48
ジャッジサーバーID
(参考情報)
judge2 / 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

#line 1 "/home/siro53/kyo-pro/compro_library/template/template.cpp"
#include <bits/stdc++.h>
using namespace std;
template <class T> inline bool chmax(T &a, T b) {
if(a < b) {
a = b;
return 1;
}
return 0;
}
template <class T> inline bool chmin(T &a, T b) {
if(a > b) {
a = b;
return 1;
}
return 0;
}
#define DEBUG
#ifdef DEBUG
template <class T, class U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
os << '(' << p.first << ',' << p.second << ')';
return os;
}
template <class T> ostream &operator<<(ostream &os, const vector<T> &v) {
os << '{';
for(int i = 0; i < (int)v.size(); i++) {
if(i) { os << ','; }
os << v[i];
}
os << '}';
return os;
}
void debugg() { cerr << endl; }
template <class T, class... Args>
void debugg(const T &x, const Args &... args) {
cerr << " " << x;
debugg(args...);
}
#define debug(...) \
cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif
struct Setup {
Setup() {
cin.tie(0);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
}
} __Setup;
using ll = long long;
#define ALL(v) (v).begin(), (v).end()
#define RALL(v) (v).rbegin(), (v).rend()
#define FOR(i, a, b) for(int i = (a); i < int(b); i++)
#define REP(i, n) FOR(i, 0, n)
const int INF = 1 << 30;
const ll LLINF = 1LL << 60;
constexpr int MOD = 1000000007;
const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};
//-------------------------------------
#line 1 "/home/siro53/kyo-pro/compro_library/math/modint.hpp"
template <int mod> struct ModInt {
int x;
ModInt() : x(0) {}
ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
ModInt &operator+=(const ModInt &p) {
if((x += p.x) >= mod)
x -= mod;
return *this;
}
ModInt &operator-=(const ModInt &p) {
if((x += mod - p.x) >= mod)
x -= mod;
return *this;
}
ModInt &operator*=(const ModInt &p) {
x = (int)(1LL * x * p.x % mod);
return *this;
}
ModInt &operator/=(const ModInt &p) {
*this *= p.inv();
return *this;
}
ModInt operator-() const { return ModInt(-x); }
ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
bool operator==(const ModInt &p) const { return x == p.x; }
bool operator!=(const ModInt &p) const { return x != p.x; }
ModInt inv() const {
int a = x, b = mod, u = 1, v = 0, t;
while(b > 0) {
t = a / b;
swap(a -= t * b, b);
swap(u -= t * v, v);
}
return ModInt(u);
}
ModInt pow(int64_t n) const {
ModInt ret(1), mul(x);
while(n > 0) {
if(n & 1)
ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
friend ostream &operator<<(ostream &os, const ModInt &p) {
return os << p.x;
}
friend istream &operator>>(istream &is, ModInt &a) {
int64_t t;
is >> t;
a = ModInt<mod>(t);
return (is);
}
static int get_mod() { return mod; }
};
#line 3 "c.cpp"
using mint = ModInt<MOD>;
string s;
// dp[][mod 100][]
mint dp[10010][100][2];
int main() {
cin >> s;
int len = s.size();
REP(i, len) {
const int lim = s[i] - '0';
REP(r, 100) {
FOR(num, 1, 10) {
int nxt_r = (r * num) % 100;
dp[i+1][nxt_r][1] += dp[i][r][1];
if(num == lim) {
dp[i+1][nxt_r][0] += dp[i][r][0];
}else if(num < lim) {
dp[i+1][nxt_r][1] += dp[i][r][0];
}
}
}
FOR(num, 1, 10) {
if(i > 0) dp[i+1][num][1] += 1;
else if (num == lim) dp[i+1][num][0] += 1;
else if(num < lim) dp[i+1][num][1] += 1;
}
}
mint ans = 0;
REP(f, 2) ans += dp[len][0][f];
cout << ans << endl;
}
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