#660034 (C++17) No.1417 100の倍数かつ正整数(2)

提出ソース

結果

問題	No.1417 100の倍数かつ正整数(2)
ユーザー	tkmst201
提出日時	2021-05-23 09:26:36
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	MLE
実行時間	-
コード長	4,396 bytes
コンパイル時間	3,349 ms
コンパイル使用メモリ	225,160 KB
実行使用メモリ	739,712 KB
最終ジャッジ日時	2024-10-11 12:42:12
合計ジャッジ時間	13,159 ms
ジャッジサーバーID （参考情報）	judge3 / judge1

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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 5,248 KB
testcase_01	AC	3 ms 5,248 KB
testcase_02	AC	17 ms 11,008 KB
testcase_03	AC	3 ms 5,248 KB
testcase_04	AC	2 ms 5,248 KB
testcase_05	AC	3 ms 5,248 KB
testcase_06	AC	2 ms 5,248 KB
testcase_07	AC	3 ms 5,248 KB
testcase_08	AC	3 ms 5,248 KB
testcase_09	AC	3 ms 5,248 KB
testcase_10	AC	2 ms 5,248 KB
testcase_11	AC	3 ms 5,248 KB
testcase_12	AC	5 ms 5,248 KB
testcase_13	AC	5 ms 5,376 KB
testcase_14	AC	7 ms 6,272 KB
testcase_15	AC	8 ms 6,784 KB
testcase_16	AC	9 ms 7,040 KB
testcase_17	AC	9 ms 7,296 KB
testcase_18	AC	11 ms 8,320 KB
testcase_19	AC	12 ms 8,704 KB
testcase_20	AC	14 ms 8,832 KB
testcase_21	AC	15 ms 10,240 KB
testcase_22	AC	14 ms 10,496 KB
testcase_23	AC	15 ms 10,752 KB
testcase_24	AC	15 ms 10,752 KB
testcase_25	AC	15 ms 10,624 KB
testcase_26	AC	16 ms 10,752 KB
testcase_27	AC	16 ms 10,880 KB
testcase_28	AC	16 ms 10,752 KB
testcase_29	AC	15 ms 10,880 KB
testcase_30	AC	114 ms 60,672 KB
testcase_31	AC	146 ms 77,056 KB
testcase_32	AC	354 ms 150,528 KB
testcase_33	AC	874 ms 371,456 KB
testcase_34	MLE	-
testcase_35	MLE	-
testcase_36	MLE	-
testcase_37	MLE	-
testcase_38	MLE	-

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ソースコード

raw source code

#include <bits/stdc++.h>
using namespace std;
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) begin(v),end(v)
template<typename A, typename B> inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; }
using ll = long long;
using pii = pair<int, int>;
constexpr ll INF = 1ll<<30;
constexpr ll longINF = 1ll<<60;
constexpr ll MOD = 1000000007;
constexpr bool debug = false;
//---------------------------------//

/**
 * @brief https://tkmst201.github.io/Library/Mathematics/ModInt.hpp
 */
template<int M>
struct ModInt {
	static_assert(M > 0);
	
	using value_type = int;
	using calc_type = std::int_fast64_t;
	
private:
	value_type val_;
	
public:
	constexpr ModInt(calc_type val = 0) : val_(val < 0 ? (val % M + M) % M : val % M) {}
	constexpr value_type val() const noexcept { return val_; }
	constexpr static decltype(M) mod() noexcept { return M; }
	
	explicit constexpr operator bool() const noexcept { return val_; }
	constexpr bool operator !() const noexcept { return !static_cast<bool>(*this); }
	constexpr ModInt operator +() const noexcept { return *this; }
	constexpr ModInt operator -() const noexcept { return ModInt(-val_); }
	constexpr ModInt operator ++(int) noexcept { ModInt res = *this; ++*this; return res; }
	constexpr ModInt operator --(int) noexcept { ModInt res = *this; --*this; return res; }
	constexpr ModInt & operator ++() noexcept { val_ = val_ + 1 == M ? 0 : val_ + 1; return *this; }
	constexpr ModInt & operator --() noexcept { val_ = val_ == 0 ? M - 1 : val_ - 1; return *this; }
	constexpr ModInt & operator +=(const ModInt & rhs) noexcept { val_ += val_ < M - rhs.val_ ? rhs.val_ : rhs.val_ - M; return *this; }
	constexpr ModInt & operator -=(const ModInt & rhs) noexcept { val_ += val_ >= rhs.val_ ? -rhs.val_ : M - rhs.val_; return *this; }
	constexpr ModInt & operator *=(const ModInt & rhs) noexcept { val_ = static_cast<calc_type>(val_) * rhs.val_ % M; return *this; }
	constexpr ModInt & operator /=(const ModInt & rhs) noexcept { return *this *= rhs.inv(); }
	friend constexpr ModInt operator +(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) += rhs; }
	friend constexpr ModInt operator -(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) -= rhs; }
	friend constexpr ModInt operator *(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) *= rhs; }
	friend constexpr ModInt operator /(const ModInt & lhs, const ModInt & rhs) noexcept { return ModInt(lhs) /= rhs; }
	friend constexpr bool operator ==(const ModInt & lhs, const ModInt & rhs) noexcept { return lhs.val_ == rhs.val_; }
	friend constexpr bool operator !=(const ModInt & lhs, const ModInt & rhs) noexcept { return !(lhs == rhs); }
	friend std::ostream & operator <<(std::ostream & os, const ModInt & rhs) { return os << rhs.val_; }
	friend std::istream & operator >>(std::istream & is, ModInt & rhs) { calc_type x; is >> x; rhs = ModInt(x); return is; }
	
	constexpr ModInt pow(calc_type n) const noexcept {
		ModInt res = 1, x = val_;
		if (n < 0) { x = x.inv(); n = -n; }
		while (n) { if (n & 1) res *= x; x *= x; n >>= 1; }
		return res;
	}
	
	constexpr ModInt inv() const noexcept {
		value_type a = val_, a1 = 1, b = M, b1 = 0;
		while (b > 0) {
			value_type q = a / b, r = a % b;
			value_type nb1 = a1 - q * b1;
			a = b; b = r;
			a1 = b1; b1 = nb1;
		}
		assert(a == 1);
		return a1;
	}
};
using mint = ModInt<MOD>;

int main() {
	string S;
	cin >> S;
	const int N = S.size();
	
	// [i][mod100][zero][leadingzero][ismax]
	vector dp(N + 1, vector(100, vector(2, vector(2, vector<mint>(2)))));
	vector done(N + 1, vector(100, vector(2, vector(2, vector<bool>(2)))));
	
	auto dfs = [&](auto self, int i, int m, bool zero, bool lzero, bool ism) -> mint {
		if (i == N) return m == 0 && !zero && !lzero;
		mint & res = dp[i][m][zero][lzero][ism];
		if (done[i][m][zero][lzero][ism]) return res;
		done[i][m][zero][lzero][ism] = true;
		const int ma = ism ? S[i] - '0' : 9;
		REP(k, ma + 1) {
			if (lzero) res += self(self, i + 1, k, k == 0, k == 0, ism & (k == ma));
			else res += self(self, i + 1, (m * k) % 100, (k == 0) | zero, lzero, ism & (k == ma));
		}
		return res;
	};
	cout << dfs(dfs, 0, 0, true, true, true) << endl;
}

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