#663885 (C++14) No.1530 Permutation and Popcount

提出ソース

結果

問題	No.1530 Permutation and Popcount
ユーザー	torisasami4
提出日時	2021-06-04 23:26:06
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	1,503 ms / 2,000 ms
コード長	7,580 bytes
コンパイル時間	1,722 ms
コンパイル使用メモリ	178,964 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-05-03 17:37:46
合計ジャッジ時間	47,883 ms
ジャッジサーバーID （参考情報）	judge5 / judge2

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	1 ms 6,812 KB
testcase_01	AC	1,503 ms 6,940 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	1,502 ms 6,940 KB
testcase_04	AC	2 ms 6,940 KB
testcase_05	AC	1,503 ms 6,944 KB
testcase_06	AC	1,503 ms 6,940 KB
testcase_07	AC	1,503 ms 6,940 KB
testcase_08	AC	1,502 ms 6,940 KB
testcase_09	AC	1,502 ms 6,940 KB
testcase_10	AC	1,503 ms 6,944 KB
testcase_11	AC	1,503 ms 6,940 KB
testcase_12	AC	1,503 ms 6,940 KB
testcase_13	AC	1,503 ms 6,940 KB
testcase_14	AC	1,502 ms 6,944 KB
testcase_15	AC	1,503 ms 6,940 KB
testcase_16	AC	1,502 ms 6,944 KB
testcase_17	AC	7 ms 6,944 KB
testcase_18	AC	1,503 ms 6,940 KB
testcase_19	AC	1,503 ms 6,940 KB
testcase_20	AC	2 ms 6,944 KB
testcase_21	AC	1,503 ms 6,940 KB
testcase_22	AC	1,502 ms 6,944 KB
testcase_23	AC	1,503 ms 6,944 KB
testcase_24	AC	1,503 ms 6,940 KB
testcase_25	AC	1,503 ms 6,940 KB
testcase_26	AC	1,502 ms 6,944 KB
testcase_27	AC	1,503 ms 6,944 KB
testcase_28	AC	1,503 ms 6,944 KB
testcase_29	AC	1,503 ms 6,940 KB
testcase_30	AC	1 ms 6,944 KB
testcase_31	AC	1,503 ms 6,944 KB
testcase_32	AC	11 ms 6,944 KB
testcase_33	AC	1,503 ms 6,940 KB
testcase_34	AC	1,503 ms 6,940 KB
testcase_35	AC	15 ms 6,940 KB
testcase_36	AC	2 ms 6,940 KB
testcase_37	AC	1,502 ms 6,940 KB
testcase_38	AC	763 ms 6,940 KB
testcase_39	AC	13 ms 6,944 KB
testcase_40	AC	12 ms 6,944 KB
testcase_41	AC	2 ms 6,940 KB
testcase_42	AC	11 ms 6,944 KB
testcase_43	AC	6 ms 6,940 KB

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ソースコード

raw source code

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define pb(x) push_back(x)
#define mp(a, b) make_pair(a, b)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define lscan(x) scanf("%I64d", &x)
#define lprint(x) printf("%I64d", x)
#define rep(i, n) for (ll i = 0; i < (n); i++)
#define rep2(i, n) for (ll i = (ll)n - 1; i >= 0; i--)
#define REP(i, l, r) for (ll i = l; i < (r); i++)
#define REP2(i, l, r) for (ll i = (ll)r - 1; i >= (l); i--)
#define siz(x) (ll)x.size()
template <class T>
using rque = priority_queue<T, vector<T>, greater<T>>;
const ll mod = 998244353;

template <class T>
bool chmin(T &a, const T &b) {
    if (b < a) {
        a = b;
        return 1;
    }
    return 0;
}

template <class T>
bool chmax(T &a, const T &b) {
    if (b > a) {
        a = b;
        return 1;
    }
    return 0;
}

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

long long extGCD(long long a, long long b, long long &x, long long &y)
{
	if (b == 0)
	{
		x = 1;
		y = 0;
		return a;
	}
	long long d = extGCD(b, a % b, y, x);
	y -= a / b * x;
	return d;
}

struct UnionFind
{
	vector<ll> data;
	int num;

	UnionFind(int sz)
	{
		data.assign(sz, -1);
		num = sz;
	}

	bool unite(int x, int y)
	{
		x = find(x), y = find(y);
		if (x == y)
			return (false);
		if (data[x] > data[y])
			swap(x, y);
		data[x] += data[y];
		data[y] = x;
		num--;
		return (true);
	}

	int find(int k)
	{
		if (data[k] < 0)
			return (k);
		return (data[k] = find(data[k]));
	}

	ll size(int k)
	{
		return (-data[find(k)]);
	}
};

ll M = 1000000007;

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.inverse();
		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 inverse() 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; }
};

using mint = ModInt<mod>;

mint mpow(ll x, ll n)
{
	mint ans = 1;
	while (n != 0)
	{
		if (n & 1)
			ans *= x;
		x = x * x % mod;
		n = n >> 1;
	}
	return ans;
}

ll mpow2(ll x, ll n, ll mod)
{
	ll ans = 1;
	while (n != 0)
	{
		if (n & 1)
			ans = ans * x % mod;
		x = x * x % mod;
		n = n >> 1;
	}
	return ans;
}

vector<mint> fac;
vector<mint> ifac;

void setcomb(int sz = 2000010)
{
	fac.assign(sz + 1, 0);
	ifac.assign(sz + 1, 0);
	fac[0] = 1;
	for (ll i = 0; i < sz; i++)
	{
		fac[i + 1] = fac[i] * (i + 1); // n!(mod M)
	}
	ifac[sz] = fac[sz].inverse();
	for (ll i = sz; i > 0; i--)
	{
		ifac[i - 1] = ifac[i] * i;
	}
}
mint comb(ll a, ll b)
{
	if(fac.size() == 0)
		setcomb();
	if (a == 0 && b == 0)
		return 1;
	if (a < b || a < 0)
		return 0;
	return ifac[a - b] * ifac[b] * fac[a];
}

mint perm(ll a, ll b)
{
	if(fac.size() == 0)
		setcomb();
	if (a == 0 && b == 0)
		return 1;
	if (a < b || a < 0)
		return 0;
	return fac[a] * ifac[a - b];
}

long long modinv(long long a)
{
	long long b = M, u = 1, v = 0;
	while (b)
	{
		long long t = a / b;
		a -= t * b;
		swap(a, b);
		u -= t * v;
		swap(u, v);
	}
	u %= M;
	if (u < 0)
		u += M;
	return u;
}

ll modinv2(ll a, ll mod)
{
	ll b = mod, u = 1, v = 0;
	while (b)
	{
		ll t = a / b;
		a -= t * b;
		swap(a, b);
		u -= t * v;
		swap(u, v);
	}
	u %= mod;
	if (u < 0)
		u += mod;
	return u;
}

struct Timer {
  private:
    chrono::high_resolution_clock::time_point start, end;

  public:
    Timer() { set(); }
    void set() { start = chrono::high_resolution_clock::now(); }
    int time() {
        end = chrono::high_resolution_clock::now();
        return chrono::duration_cast<chrono::milliseconds>(end - start).count();
    }
    void print() { cerr << "elapsed time: " << (double)time() / 1000 << " sec" << endl; }
};

struct Random {
  private:
    uint32_t a, b, c, d;

  public:
    Random(uint32_t seed = 517) { set_seed(seed); }
    void set_seed(uint32_t seed) {
        a = seed = 1812433253u * (seed ^ (seed >> 30));
        b = seed = 1812433253u * (seed ^ (seed >> 30)) + 1;
        c = seed = 1812433253u * (seed ^ (seed >> 30)) + 2;
        d = seed = 1812433253u * (seed ^ (seed >> 30)) + 3;
    }
    uint32_t operator()() {
        uint32_t t = (a ^ (a << 11));
        a = b;
        b = c;
        c = d;
        return d = (d ^ (d >> 19)) ^ (t ^ (t >> 8));
    }

    // [0,MAX)
    uint32_t operator()(int MAX) { return (uint64_t) operator()() * MAX >> 32; }

    // [L,R)
    uint32_t operator()(int L, int R) { return L + operator()(R - L); }

    // [0,1) の実数
    double drnd() { return (double)operator()() / (1LL << 32); }

    // 確率 p で true を返す
    bool prob(const double p) { return (uint32_t)(p * (1LL << 32)) > operator()(); }
};

int main(){
	ios::sync_with_stdio(false);
	std::cin.tie(nullptr);

	Timer T;
	Random rnd;
	std::mt19937 get_rand_mt;
	T.set();
	ll n, m;
	cin >> n >> m;
	vector<ll> x[2];
	ll a[n + 1][n + 1];
	REP(i, 1, n + 1) REP(j, 1, n + 1) a[i][j] = (__builtin_popcount(i * j) % 2) ^ 1;
	REP(i, 1, n + 1) x[0].pb(i);
	ll sc = 0;
	rep(i, n) rep(j, n) sc += a[i + 1][j + 1];
	double st = n * 2, et = 1;
	double start_time = T.time(), TL = 1500;
	ll cnt = 0;
	while(1){
		double now_time = T.time();
		if(now_time > TL)
			break;
		if (sc == m)
			break;
		ll f = rnd(2);
		if(!x[f].empty()){
			ll nsc = sc;
			shuffle(all(x[f]), get_rand_mt);
			ll now = x[f].back();
			rep(i, x[f].size() - 1) nsc += a[x[f][i]][now] * 2 * (2 * f - 1);
			rep(i, x[f ^ 1].size()) nsc += a[x[f ^ 1][i]][now] * 2 * (2 * f - 1);
			nsc += a[now][now] * 2 * (2 * f - 1);
			double temp = st + (et - st) * (now_time - start_time) / TL;
			double p = exp((abs(sc - m) - abs(nsc - m)) / temp);
			if(rnd.prob(p)){
				x[f ^ 1].pb(now);
				x[f].pop_back();
				sc = nsc;
				// if(sc < 10){
				// 	cout << sc << endl;
				// 	cout << x[0].size() << " " << x[1].size() << endl;
				// 	rep(i, x[0].size()) cout << x[0][i] << (i + 1 == x[0].size() ? '\n' : ' ');
				// 	rep(i, x[1].size()) cout << x[1][i] << (i + 1 == x[1].size() ? '\n' : ' ');
				// 	cnt++;
				// }
			}
		}
	}
	if(sc == m){
		cout << x[0].size() << " " << x[1].size() << endl;
		rep(i, x[0].size()) cout << x[0][i] << (i + 1 == x[0].size() ? '\n' : ' ');
		rep(i, x[1].size()) cout << x[1][i] << (i + 1 == x[1].size() ? '\n' : ' ');
	}
	else
		cout << -1 << endl;
}

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結果

テストケース

ソースコード