結果

問題 No.2725 Coprime Game 2
ユーザー fuppy_kyoprofuppy_kyopro
提出日時 2024-04-12 22:56:19
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 441 ms / 2,000 ms
コード長 6,576 bytes
コンパイル時間 2,729 ms
コンパイル使用メモリ 201,680 KB
実行使用メモリ 15,080 KB
最終ジャッジ日時 2024-04-12 22:56:24
合計ジャッジ時間 4,927 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
このコードへのチャレンジ
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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 38 ms
14,804 KB
testcase_01 AC 37 ms
14,916 KB
testcase_02 AC 37 ms
14,936 KB
testcase_03 AC 205 ms
14,960 KB
testcase_04 AC 441 ms
14,920 KB
testcase_05 AC 183 ms
14,896 KB
testcase_06 AC 178 ms
14,940 KB
testcase_07 AC 128 ms
15,080 KB
testcase_08 AC 174 ms
14,904 KB
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 # 

/*
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
//*/

#include <bits/stdc++.h>

// #include <atcoder/all>
// #include <atcoder/math>

using namespace std;
// using namespace atcoder;

// #define _GLIBCXX_DEBUG

#define DEBUG(x) cerr << #x << ": " << x << endl;
#define DEBUG_VEC(v)                                        \
    cerr << #v << ":";                                      \
    for (int iiiiiiii = 0; iiiiiiii < v.size(); iiiiiiii++) \
        cerr << " " << v[iiiiiiii];                         \
    cerr << endl;
#define DEBUG_MAT(v)                                \
    cerr << #v << endl;                             \
    for (int iv = 0; iv < v.size(); iv++) {         \
        for (int jv = 0; jv < v[iv].size(); jv++) { \
            cerr << v[iv][jv] << " ";               \
        }                                           \
        cerr << endl;                               \
    }
typedef long long ll;
// #define int ll

#define vi vector<int>
#define vl vector<ll>
#define vii vector<vector<int>>
#define vll vector<vector<ll>>
#define pii pair<int, int>
#define pis pair<int, string>
#define psi pair<string, int>
#define pll pair<ll, ll>
template <class S, class T>
pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) {
    return pair<S, T>(s.first + t.first, s.second + t.second);
}
template <class S, class T>
pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }
template <class S, class T>
ostream &operator<<(ostream &os, pair<S, T> p) {
    os << "(" << p.first << ", " << p.second << ")";
    return os;
}
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rrep1(i, n) for (int i = (int)(n); i > 0; i--)
#define REP(i, a, b) for (int i = a; i < b; i++)
#define in(x, a, b) (a <= x && x < b)
#define all(c) c.begin(), c.end()
void YES(bool t = true) {
    cout << (t ? "YES" : "NO") << endl;
}
void Yes(bool t = true) { cout << (t ? "Yes" : "No") << endl; }
void yes(bool t = true) { cout << (t ? "yes" : "no") << endl; }
void NO(bool t = true) { cout << (t ? "NO" : "YES") << endl; }
void No(bool t = true) { cout << (t ? "No" : "Yes") << endl; }
void no(bool t = true) { cout << (t ? "no" : "yes") << endl; }
template <class T>
bool chmax(T &a, const T &b) {
    if (a < b) {
        a = b;
        return 1;
    }
    return 0;
}
template <class T>
bool chmin(T &a, const T &b) {
    if (a > b) {
        a = b;
        return 1;
    }
    return 0;
}
#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());
const ll inf = 1000000001;
const ll INF = (ll)1e18 + 1;
const long double pi = 3.1415926535897932384626433832795028841971L;
int popcount(ll t) { return __builtin_popcountll(t); }
// int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
// int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
vi dx = {0, 0, -1, 1}, dy = {-1, 1, 0, 0};
vi dx2 = {1, 1, 0, -1, -1, -1, 0, 1}, dy2 = {0, 1, 1, 1, 0, -1, -1, -1};
struct Setup_io {
    Setup_io() {
        ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
        cout << fixed << setprecision(25);
        cerr << fixed << setprecision(25);
    }
} setup_io;
constexpr ll MOD = 1000000007;
// constexpr ll MOD = 998244353;
// #define mp make_pair
// #define endl '\n'

constexpr int N = 3000111;
vector<int> is_prime(N, true);

ll gcd(ll a, ll b) {
    if (b > a) {
        swap(a, b);
    }
    if (b == 0) return a;
    ll r = a % b;
    while (r != 0) {
        a = b;
        b = r;
        r = a % b;
    }
    return b;
}

ll lcm(ll a, ll b) {
    return (a / gcd(a, b)) * b;
}

bool dfs(int y, int n, vi &memo) {
    if (memo[n] != -1) {
        return memo[n];
    }

    bool has_loose = false;
    for (int x = 2; x < y; x++) {
        if (gcd(x, y) != 1) {
            continue;
        }
        if (n % x == 0) {
            continue;
        }
        if (!dfs(x, n, memo)) {
            has_loose = true;
            break;
        }
    }
    return memo[y] = has_loose;
}

bool guchoku(ll n) {
    if (n == 1) {
        return false;
    }

    vi memo(n + 1, -1);
    return dfs(n, n, memo);
}

signed main() {
    is_prime[0] = is_prime[1] = false;
    for (int i = 2; i < N; i++) {
        if (is_prime[i]) {
            for (int j = i * 2; j < N; j += i) {
                is_prime[j] = false;
            }
        }
    }

    int t;
    cin >> t;
    vi ret;
    rep1(q, t) {
        // for (ll q = 2520 * 11 * 13; q <= 2520 * 11 * 13; q++) {
        ll n;
        cin >> n;
        if (n == 2) {
            cout << "P" << endl;
            continue;
        }
        if (n % 12 == 6) {
            cout << "P" << endl;
            continue;
        }
        if (n % 420 != 0) {
            cout << "K" << endl;
            continue;
        }

        bool found = false;
        for (ll p = 2; p <= 11; p++) {
            if (!is_prime[p]) {
                continue;
            }
            ll now = p;
            for (ll k = 1; k <= 11; k++) {
                now *= p;
                if (now >= 100) {
                    break;
                }

                bool ok = true;
                for (ll q = 2; q < now; q++) {
                    if (n % q != 0) {
                        ok = false;
                    }
                }
                if (ok and n % now != 0) {
                    cout << "P" << endl;
                    p = k = 1000;
                    found = true;
                    break;
                }
            }
        }
        if (!found) {
            cout << "K" << endl;
        }
        continue;

        // if (n % (2520LL * 11 * 13 * 17 * 19 * 23 * 29 * 31) == 0 and n % 32 != 0) {
        //     cout << "K" << endl;
        //     continue;
        // }
        // if (n % 420 == 0 and n % 2520 != 0) {
        //     cout << "P" << endl;
        //     continue;
        // }
        // cout << "K" << endl;
        // continue;
        ret.push_back(guchoku(2520LL * 11 * 13 * 17 * 19 * 23 * 29 * 31));
        if (ret.back() == 0) {
            if (q > 2 and q % 12 != 6 and (q % 420 != 0 or q % 2520 == 0)) {
                DEBUG(q);
            }
        } else {
            if (q % 12 == 6) {
                DEBUG(q);
            }
            if (q % 420 == 0 and q % 2520 != 0) {
                DEBUG(q);
            }
            // assert(q % 12 != 6);
        }
    }
    // DEBUG_VEC(ret);
}
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