#361345 (C++14) No.7 プライムナンバーゲーム

• 問題: No.7 プライムナンバーゲーム
• ユーザー: nn1k_
• 提出日時: 2019-07-23 15:17:03
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 16 ms / 5,000 ms
• コード長: 3,265 bytes
• コンパイル時間: 1,622 ms
• コンパイル使用メモリ: 175,204 KB
• 実行使用メモリ: 5,248 KB
• 最終ジャッジ日時: 2024-10-01 16:22:49
• 合計ジャッジ時間: 2,317 ms
• ジャッジサーバーID （参考情報）: judge1 / judge5

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	1 ms; 5,248 KB
testcase_02	AC	16 ms; 5,248 KB
testcase_03	AC	2 ms; 5,248 KB
testcase_04	AC	2 ms; 5,248 KB
testcase_05	AC	1 ms; 5,248 KB
testcase_06	AC	6 ms; 5,248 KB
testcase_07	AC	5 ms; 5,248 KB
testcase_08	AC	3 ms; 5,248 KB
testcase_09	AC	8 ms; 5,248 KB
testcase_10	AC	2 ms; 5,248 KB
testcase_11	AC	5 ms; 5,248 KB
testcase_12	AC	12 ms; 5,248 KB
testcase_13	AC	13 ms; 5,248 KB
testcase_14	AC	16 ms; 5,248 KB
testcase_15	AC	15 ms; 5,248 KB
testcase_16	AC	14 ms; 5,248 KB

ソースコード

#include "bits/stdc++.h"
using namespace std;

using int64 = long long;

template<typename T>
using p_que = priority_queue<T>;
template<typename T>
using rp_que = priority_queue<T, vector<T>, greater<T>>;

constexpr int INF = (1 << 30) - 1;
constexpr int64 INF64 = (1ll << 60) - 1;

#define rep(i, N) for(int i=0;i<(int)(N);++i)
#define fs first
#define sc second
#define e_b emplace_back
#define m_p make_pair
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()

template <typename T, typename U>
ostream& operator<<(ostream& os, const pair<T, U>& p) {
	return os << "P(" << p.first << ", " << p.second << ")";
}
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v) {
	os << "[";
	for (auto& e : v) os << e << ", ";
	return os << "]";
}
template <typename T, typename U>
ostream& operator<<(ostream& os, const map<T, U>& m) {
	os << "{" << endl;
	for (auto& e : m) os << "(" << e.first << ", " << e.second << ")" << endl;
	return os << "}";
}
template <typename T>
ostream& operator<<(ostream& os, const set<T>& s) {
	os << "{" << endl;
	for (auto& e : s) os << ", " << e << endl;
	return os << "}";
}

template<typename T>
vector<T> make_v(size_t a, T b) { return vector<T>(a, b); }
template<typename... Ts>
auto make_v(size_t a, Ts... ts) {
	return vector<decltype(make_v(ts...))>(a, make_v(ts...));
}

int64 gcd(int64 x, int64 y) {
	if (x == 0 || y == 0) return 0;
	int64 r;
	while ((r = y % x) != 0) {
		y = x;
		x = r;
	}
	return x;
}
int64 lcm(int64 x, int64 y) {
	if (x == 0 || y == 0) return 0;
	return x / gcd(x, y) * y;
}

int dx[] = { -1, 0, 1, 0 };
int dy[] = { 0, 1, 0, -1 };

void Main();
signed main() {
	cin.tie(nullptr);
	ios_base::sync_with_stdio(false);
	cout << fixed << setprecision(30);
	Main();
}

/*----------------------------Insert from here!----------------------------*/

vector< bool > prime_table(int n) {
	vector< bool > prime(n + 1, true);
	if (n >= 0) prime[0] = false;
	if (n >= 1) prime[1] = false;
	for (int i = 2; i * i <= n; i++) {
		if (!prime[i]) continue;
		for (int j = i + i; j <= n; j += i) {
			prime[j] = false;
		}
	}
	return prime;
}

/*----------------------------Insert above here----------------------------*/

vector<vector<int>> memo;

int calc(const vector<bool>& table, const vector<int>& prime, int N, int idx) {
	if (N == 2 || N == 3) return idx;

	if (memo[N][idx % 2] != -1) return memo[N][idx % 2];

	int n;
	idx % 2 == 1 ? n = 1 : n = 0;
	for (int i = 0; i < prime.size() && (N - prime[i] > 1); ++i) {
		if (N - prime[i] == 2 || N - prime[i] == 3) return idx + 1;
		if (table[N - prime[i] - 2] || table[N-prime[i] - 3]) continue;

		int t = -1;
		if (memo[N - prime[i]][(idx + 1) % 2] != -1) t = memo[N - prime[i]][(idx + 1) % 2];
		else t = calc(table, prime, N - prime[i], idx + 1);
		if (idx % 2 == 1 && t % 2 == 0) {
			n = t;
			break;
		}
		else if (idx % 2 == 0 && t % 2 == 1) {
			n = t;
			break;
		}
	}

	memo[N][idx % 2] = n % 2;
	memo[N][!(idx % 2)] = !(n % 2);

	return n;
}

void Main() {
	int N; cin >> N;
	memo = make_v(N + 1, 2, -1);
	auto table = prime_table(N);

	vector<int> prime;
	for (int i = 2; i <= N; ++i) if (table[i]) prime.emplace_back(i);

	if (calc(table, prime, N, 0) % 2 == 1) cout << "Win" << endl;
	else cout << "Lose" << endl;
}