結果

問題 No.1614 Majority Painting on Tree
ユーザー heno239heno239
提出日時 2021-07-21 21:32:55
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 514 ms / 5,000 ms
コード長 3,951 bytes
コンパイル時間 2,326 ms
コンパイル使用メモリ 144,476 KB
実行使用メモリ 273,928 KB
最終ジャッジ日時 2023-09-24 15:35:27
合計ジャッジ時間 18,854 ms
ジャッジサーバーID
(参考情報)
judge14 / judge12
このコードへのチャレンジ(β)

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 492 ms
273,704 KB
testcase_01 AC 261 ms
273,844 KB
testcase_02 AC 282 ms
273,804 KB
testcase_03 AC 356 ms
273,768 KB
testcase_04 AC 390 ms
273,928 KB
testcase_05 AC 382 ms
273,808 KB
testcase_06 AC 477 ms
273,828 KB
testcase_07 AC 389 ms
273,768 KB
testcase_08 AC 285 ms
273,816 KB
testcase_09 AC 337 ms
273,752 KB
testcase_10 AC 226 ms
273,812 KB
testcase_11 AC 371 ms
273,816 KB
testcase_12 AC 392 ms
273,820 KB
testcase_13 AC 331 ms
273,836 KB
testcase_14 AC 477 ms
273,804 KB
testcase_15 AC 463 ms
273,808 KB
testcase_16 AC 249 ms
273,832 KB
testcase_17 AC 315 ms
273,752 KB
testcase_18 AC 311 ms
273,856 KB
testcase_19 AC 236 ms
273,844 KB
testcase_20 AC 482 ms
273,828 KB
testcase_21 AC 490 ms
273,772 KB
testcase_22 AC 514 ms
273,768 KB
testcase_23 AC 221 ms
273,812 KB
testcase_24 AC 484 ms
273,824 KB
testcase_25 AC 253 ms
273,872 KB
testcase_26 AC 365 ms
273,748 KB
testcase_27 AC 169 ms
273,696 KB
testcase_28 AC 172 ms
273,696 KB
testcase_29 AC 171 ms
273,712 KB
testcase_30 AC 169 ms
273,696 KB
testcase_31 AC 169 ms
273,756 KB
testcase_32 AC 170 ms
273,704 KB
testcase_33 AC 171 ms
273,912 KB
testcase_34 AC 171 ms
273,696 KB
testcase_35 AC 170 ms
273,904 KB
testcase_36 AC 170 ms
273,696 KB
testcase_37 AC 170 ms
273,744 KB
testcase_38 AC 170 ms
273,684 KB
testcase_39 AC 170 ms
273,692 KB
testcase_40 AC 169 ms
273,700 KB
testcase_41 AC 168 ms
273,688 KB
testcase_42 AC 169 ms
273,776 KB
testcase_43 AC 170 ms
273,832 KB
testcase_44 AC 170 ms
273,908 KB
testcase_45 AC 168 ms
273,760 KB
testcase_46 AC 170 ms
273,744 KB
testcase_47 AC 169 ms
273,756 KB
testcase_48 AC 172 ms
273,832 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 optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 998244353;
const ll INF = mod * mod;
typedef pair<int, int>P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;
typedef long double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acosl(-1.0);

ll mod_pow(ll x, ll n, ll m = mod) {
	if (n < 0) {
		ll res = mod_pow(x, -n, m);
		return mod_pow(res, m - 2, m);
	}
	if (abs(x) >= m)x %= m;
	if (x < 0)x += m;
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
struct modint {
	ll n;
	modint() :n(0) { ; }
	modint(ll m) :n(m) {
		if (n >= mod)n %= mod;
		else if (n < 0)n = (n % mod + mod) % mod;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
	if (n == 0)return modint(1);
	modint res = (a * a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
modint operator/=(modint& a, modint b) { a = a / b; return a; }
const int max_n = 1 << 18;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}
modint combP(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[a - b];
}


modint mpow[260][1<<17];
void solve() {
	int n, c; cin >> n >> c;
	vector<int> d(n);
	rep(i, n - 1) {
		int a, b; cin >> a >> b; a--; b--;
		d[a]++; d[b]++;
	}
	rep(i, c + 1) {
		mpow[i][0] = 1;
		rep(j, n) {
			mpow[i][j + 1] = mpow[i][j] * (modint)i;
		}
	}
	vector<modint> mem(c + 1);
	for (int k = 1; k <= c; k++) {
		modint p = k;
		rep(i, n)if (d[i] > 1) {
			modint num = mpow[k][d[i] - 1];
			for (int j = d[i] / 2 + 1; j < d[i]; j++) {
				//same with par
				num -= comb(d[i] - 1, j - 1) * mpow[k - 1][d[i] - j];
				//not
				if (j < d[i]) {
					num -= (modint)(k - 1) * comb(d[i] - 1, j) * mpow[k - 1][d[i] - 1 - j];
				}
			}
			p *= num;
		}
		mem[k] = p;
	}
	modint ans = 0;
	for (int i = c; i > 0; i--) {
		modint val = mem[i] * comb(c, i);
		if ((c - i) % 2)val *= -1;
		ans += val;
	}
	cout << ans << "\n";
}

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(12);
	init_f();
	//init();
	//expr();
	//int t; cin >> t; rep(i, t)
	solve();
	return 0;
}

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