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 21:34:47 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 37 ms / 3,000 ms |
コード長 | 5,618 bytes |
コンパイル時間 | 2,216 ms |
コンパイル使用メモリ | 206,012 KB |
最終ジャッジ日時 | 2025-01-19 10:41:51 |
ジャッジサーバーID (参考情報) |
judge5 / judge4 |
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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
#define _USE_MATH_DEFINES#include <bits/stdc++.h>using namespace std;#define FOR(i,m,n) for(int i=(m);i<(n);++i)#define REP(i,n) FOR(i,0,n)#define ALL(v) (v).begin(),(v).end()using ll = long long;constexpr int INF = 0x3f3f3f3f;constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL;constexpr double EPS = 1e-8;constexpr int MOD = 1000000007;// constexpr int MOD = 998244353;constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1};template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }struct IOSetup {IOSetup() {std::cin.tie(nullptr);std::ios_base::sync_with_stdio(false);std::cout << fixed << setprecision(20);}} iosetup;template <int M>struct MInt {unsigned int val;MInt(): val(0) {}MInt(long long x) : val(x >= 0 ? x % M : x % M + M) {}static constexpr int get_mod() { return M; }static void set_mod(int divisor) { assert(divisor == M); }static void init(int x = 10000000) { inv(x, true); fact(x); fact_inv(x); }static MInt inv(int x, bool init = false) {// assert(0 <= x && x < M && std::__gcd(x, M) == 1);static std::vector<MInt> inverse{0, 1};int prev = inverse.size();if (init && x >= prev) {// "x!" and "M" must be disjoint.inverse.resize(x + 1);for (int i = prev; i <= x; ++i) inverse[i] = -inverse[M % i] * (M / i);}if (x < inverse.size()) return inverse[x];unsigned int a = x, b = M; int u = 1, v = 0;while (b) {unsigned int tmp = a / b;std::swap(a -= tmp * b, b);std::swap(u -= tmp * v, v);}return u;}static MInt fact(int x) {static std::vector<MInt> f{1};int prev = f.size();if (x >= prev) {f.resize(x + 1);for (int i = prev; i <= x; ++i) f[i] = f[i - 1] * i;}return f[x];}static MInt fact_inv(int x) {static std::vector<MInt> finv{1};int prev = finv.size();if (x >= prev) {finv.resize(x + 1);finv[x] = inv(fact(x).val);for (int i = x; i > prev; --i) finv[i - 1] = finv[i] * i;}return finv[x];}static MInt nCk(int n, int k) {if (n < 0 || n < k || k < 0) return 0;if (n - k > k) k = n - k;return fact(n) * fact_inv(k) * fact_inv(n - k);}static MInt nPk(int n, int k) { return n < 0 || n < k || k < 0 ? 0 : fact(n) * fact_inv(n - k); }static MInt nHk(int n, int k) { return n < 0 || k < 0 ? 0 : (k == 0 ? 1 : nCk(n + k - 1, k)); }static MInt large_nCk(long long n, int k) {if (n < 0 || n < k || k < 0) return 0;inv(k, true);MInt res = 1;for (int i = 1; i <= k; ++i) res *= inv(i) * n--;return res;}MInt pow(long long exponent) const {MInt tmp = *this, res = 1;while (exponent > 0) {if (exponent & 1) res *= tmp;tmp *= tmp;exponent >>= 1;}return res;}MInt &operator+=(const MInt &x) { if((val += x.val) >= M) val -= M; return *this; }MInt &operator-=(const MInt &x) { if((val += M - x.val) >= M) val -= M; return *this; }MInt &operator*=(const MInt &x) { val = static_cast<unsigned long long>(val) * x.val % M; return *this; }MInt &operator/=(const MInt &x) { return *this *= inv(x.val); }bool operator==(const MInt &x) const { return val == x.val; }bool operator!=(const MInt &x) const { return val != x.val; }bool operator<(const MInt &x) const { return val < x.val; }bool operator<=(const MInt &x) const { return val <= x.val; }bool operator>(const MInt &x) const { return val > x.val; }bool operator>=(const MInt &x) const { return val >= x.val; }MInt &operator++() { if (++val == M) val = 0; return *this; }MInt operator++(int) { MInt res = *this; ++*this; return res; }MInt &operator--() { val = (val == 0 ? M : val) - 1; return *this; }MInt operator--(int) { MInt res = *this; --*this; return res; }MInt operator+() const { return *this; }MInt operator-() const { return MInt(val ? M - val : 0); }MInt operator+(const MInt &x) const { return MInt(*this) += x; }MInt operator-(const MInt &x) const { return MInt(*this) -= x; }MInt operator*(const MInt &x) const { return MInt(*this) *= x; }MInt operator/(const MInt &x) const { return MInt(*this) /= x; }friend std::ostream &operator<<(std::ostream &os, const MInt &x) { return os << x.val; }friend std::istream &operator>>(std::istream &is, MInt &x) { long long val; is >> val; x = MInt(val); return is; }};namespace std { template <int M> MInt<M> abs(const MInt<M> &x) { return x; } }using ModInt = MInt<MOD>;int main() {string n; cin >> n;vector dp(3, vector(3, vector(2, vector(2, ModInt(0)))));dp[0][0][false][true] = 1;for (char c : n) {int ci = c - '0';vector nx(3, vector(3, vector(2, vector(2, ModInt(0)))));REP(i, 3) REP(j, 3) REP(k, 2) REP(l, 2) {if (l) nx[i][j][true][l] += dp[i][j][k][l];FOR(d, 1, 10) {if (!k && d > ci) continue;int nx_k = k || d < ci;if (d % 4 == 0) {nx[2][j][nx_k][false] += dp[i][j][k][l];} else if (d % 2 == 0) {nx[min(i + 1, 2)][j][nx_k][false] += dp[i][j][k][l];} else if (d % 5 == 0) {nx[i][min(j + 1, 2)][nx_k][false] += dp[i][j][k][l];} else {nx[i][j][nx_k][false] += dp[i][j][k][l];}}}dp.swap(nx);}cout << dp[2][2][true][false] + dp[2][2][false][false] << '\n';return 0;}