답안 #401311

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
401311 2021-05-09T20:04:49 Z arwaeystoamneg Tents (JOI18_tents) C++17
100 / 100
1824 ms 35660 KB
// EXPLOSION!
#define _CRT_SECURE_NO_WARNINGS
#include<bits/stdc++.h>
#include<unordered_set>
#include<unordered_map>
#include<chrono>

using namespace std;
typedef pair<int, int> pii;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pair<int, int>> vpi;
typedef vector<pair<ll, ll>> vpll;

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)

#define pb push_back
#define mp make_pair
#define rsz resize
#define sz(x) int(x.size())
#define all(x) x.begin(),x.end()
#define f first
#define s second
#define cont continue
#define endl '\n'
//#define ednl '\n'
#define test int testc;cin>>testc;while(testc--)
#define pr(a, b) trav(x,a)cerr << x << b; cerr << endl;
#define message cout << "Hello World" << endl;
const int dx[4] = { 1,0,-1,0 }, dy[4] = { 0,1,0,-1 }; // for every grid problem!!
const ll linf = 4000000000000000000LL;
const ll inf = 1000000007;//998244353    

void pv(vi a) { trav(x, a)cout << x << " "; cout << endl; }void pv(vll a) { trav(x, a)cout << x << " "; cout << endl; }void pv(vector<vi>a) {
	F0R(i, sz(a)) { cout << i << endl; pv(a[i]); cout << endl; }
}void pv(vector<vll>a) { F0R(i, sz(a)) { cout << i << endl; pv(a[i]); }cout << endl; }void pv(vector<string>a) { trav(x, a)cout << x << endl; cout << endl; }
void setIO(string s) {
	ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef arwaeystoamneg
	if (sz(s))
	{
		freopen((s + ".in").c_str(), "r", stdin);
		if (s != "test1")
			freopen((s + ".out").c_str(), "w", stdout);
	}
#endif
}
template<int MOD, int RT> struct mint {
	static const int mod = MOD;
	static constexpr mint rt() { return RT; } // primitive root for FFT
	int v; explicit operator int() const { return v; } // explicit -> don't silently convert to int
	mint() { v = 0; }
	mint(ll _v) {
		v = int((-MOD < _v&& _v < MOD) ? _v : _v % MOD);
		if (v < 0) v += MOD;
	}
	friend bool operator==(const mint& a, const mint& b) {
		return a.v == b.v;
	}
	friend bool operator!=(const mint& a, const mint& b) {
		return !(a == b);
	}
	friend bool operator<(const mint& a, const mint& b) {
		return a.v < b.v;
	}

	mint& operator+=(const mint& m) {
		if ((v += m.v) >= MOD) v -= MOD;
		return *this;
	}
	mint& operator-=(const mint& m) {
		if ((v -= m.v) < 0) v += MOD;
		return *this;
	}
	mint& operator*=(const mint& m) {
		v = int((ll)v * m.v % MOD); return *this;
	}
	mint& operator/=(const mint& m) { return (*this) *= inv(m); }
	friend mint power(mint a, ll p) {// MAKE SURE YOU ARE USING THE CORRECT VERSION OF POW!!!!!!!!
		mint ans = 1; assert(p >= 0);
		for (; p; p /= 2, a *= a) if (p & 1) ans *= a;
		return ans;
	}
	friend mint inv(const mint& a) {
		assert(a.v != 0);
		return power(a, MOD - 2);
	}

	mint operator-() const { return mint(-v); }
	mint& operator++() { return *this += 1; }
	mint& operator--() { return *this -= 1; }
	friend mint operator+(mint a, const mint& b) { return a += b; }
	friend mint operator-(mint a, const mint& b) { return a -= b; }
	friend mint operator*(mint a, const mint& b) { return a *= b; }
	friend mint operator/(mint a, const mint& b) { return a /= b; }
};

typedef mint<inf, 5> mi; // 5 is primitive root for both common mods
const int MAX = 3005;//3005;
mi dp[MAX][MAX];
int main()
{
	setIO("");
	int n, m;
	cin >> n >> m;
	FOR(i, 1, MAX)dp[1][i] = dp[i][1] = 4 * i + (i * (i - 1)) / 2;
	FOR(i, 2, n + 1)
	{
		FOR(j, 2, m + 1)
		{
			/*
			mi ans = dp[i - 1][j - 1];


			ans += 4 * (dp[i - 1][j - 1] + 1);
			ans += (j - 1) * (1 + dp[i - 1][j - 2]);
			ans += (i - 1) * (1 + dp[i - 2][j - 1]);

			// only y
			ans += 4 * (j - 1) * (1 + dp[i - 1][j - 2]);
			ans += (i - 1) * (j - 1) * (1 + dp[i - 2][j - 2]);
			
			// only x
			ans += 4 * (i - 1) * (1 + dp[i - 2][j - 1]);
			ans += (i - 1) * (j - 1) * (1 + dp[i - 2][j - 2]);

			// both
			ans += 16 * (i - 1) * (j - 1) * (1 + dp[i - 2][j - 2]);
			if (i >= 3)
				ans += 4 * (i - 1) * (j - 1) * (i - 2) * (1 + dp[i - 3][j - 2]);
			if (j >= 3)
				ans += 4 * (i - 1) * (j - 1) * (j - 2) * (1 + dp[i - 2][j - 3]);
			if (i >= 3 && j >= 3)
				ans += (i - 1) * (j - 1) * (i - 2) * (j - 2) * (1 + dp[i - 3][j - 3]);


			dp[i][j] = ans;
			*/
			mi ans = dp[i][j - 1];
			ans += 4 * i * (dp[i - 1][j - 1] + 1);
			ans += i * (j - 1) * (dp[i - 1][j - 2] + 1);
			ans += i * (i - 1) * (dp[i - 2][j - 1] + 1) * inv((mi)2);
			dp[i][j] = ans;
		}
	}
	cout << (int)dp[n][m] << endl;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 22 ms 35532 KB Output is correct
2 Correct 25 ms 35532 KB Output is correct
3 Correct 22 ms 35620 KB Output is correct
4 Correct 22 ms 35548 KB Output is correct
5 Correct 29 ms 35608 KB Output is correct
6 Correct 26 ms 35560 KB Output is correct
7 Correct 26 ms 35532 KB Output is correct
8 Correct 24 ms 35636 KB Output is correct
9 Correct 22 ms 35636 KB Output is correct
10 Correct 30 ms 35552 KB Output is correct
11 Correct 22 ms 35628 KB Output is correct
12 Correct 40 ms 35532 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 22 ms 35532 KB Output is correct
2 Correct 25 ms 35532 KB Output is correct
3 Correct 22 ms 35620 KB Output is correct
4 Correct 22 ms 35548 KB Output is correct
5 Correct 29 ms 35608 KB Output is correct
6 Correct 26 ms 35560 KB Output is correct
7 Correct 26 ms 35532 KB Output is correct
8 Correct 24 ms 35636 KB Output is correct
9 Correct 22 ms 35636 KB Output is correct
10 Correct 30 ms 35552 KB Output is correct
11 Correct 22 ms 35628 KB Output is correct
12 Correct 40 ms 35532 KB Output is correct
13 Correct 21 ms 35660 KB Output is correct
14 Correct 22 ms 35660 KB Output is correct
15 Correct 1125 ms 35640 KB Output is correct
16 Correct 93 ms 35524 KB Output is correct
17 Correct 268 ms 35648 KB Output is correct
18 Correct 325 ms 35604 KB Output is correct
19 Correct 1317 ms 35636 KB Output is correct
20 Correct 1068 ms 35640 KB Output is correct
21 Correct 711 ms 35660 KB Output is correct
22 Correct 698 ms 35660 KB Output is correct
23 Correct 389 ms 35612 KB Output is correct
24 Correct 1824 ms 35640 KB Output is correct
25 Correct 1359 ms 35652 KB Output is correct
26 Correct 1527 ms 35636 KB Output is correct
27 Correct 1736 ms 35640 KB Output is correct