Submission #906281

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Source Code Expand

#include "bits/stdc++.h"
using namespace std;
#define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i))
#define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i))
#define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i))
static const int INF = 0x3f3f3f3f; static const long long INFL = 0x3f3f3f3f3f3f3f3fLL;
typedef vector<int> vi; typedef pair<int, int> pii; typedef vector<pair<int, int> > vpii; typedef long long ll;
template<typename T, typename U> static void amin(T &x, U y) { if(y < x) x = y; }
template<typename T, typename U> static void amax(T &x, U y) { if(x < y) x = y; }


template<int MOD>
struct ModInt {
	static const int Mod = MOD;
	unsigned x;
	ModInt() : x(0) {}
	ModInt(signed sig) { int sigt = sig % MOD; if(sigt < 0) sigt += MOD; x = sigt; }
	ModInt(signed long long sig) { int sigt = sig % MOD; if(sigt < 0) sigt += MOD; x = sigt; }
	int get() const { return (int)x; }

	ModInt &operator+=(ModInt that) { if((x += that.x) >= MOD) x -= MOD; return *this; }
	ModInt &operator-=(ModInt that) { if((x += MOD - that.x) >= MOD) x -= MOD; return *this; }
	ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; }
	ModInt &operator/=(ModInt that) { return *this *= that.inverse(); }

	ModInt operator+(ModInt that) const { return ModInt(*this) += that; }
	ModInt operator-(ModInt that) const { return ModInt(*this) -= that; }
	ModInt operator*(ModInt that) const { return ModInt(*this) *= that; }
	ModInt operator/(ModInt that) const { return ModInt(*this) /= that; }

	ModInt inverse() const {
		signed a = x, b = MOD, u = 1, v = 0;
		while(b) {
			signed t = a / b;
			a -= t * b; std::swap(a, b);
			u -= t * v; std::swap(u, v);
		}
		if(u < 0) u += Mod;
		ModInt res; res.x = (unsigned)u;
		return res;
	}
};
typedef ModInt<924844033> mint;

vector<int> t_parent;
vi t_ord;

void tree_getorder(const vector<vi> &g, int root) {
	int n = g.size();
	t_parent.assign(n, -1);
	t_ord.clear();

	vector<int> stk; stk.push_back(root);
	while(!stk.empty()) {
		int i = stk.back(); stk.pop_back();
		t_ord.push_back(i);
		for(int j = (int)g[i].size() - 1; j >= 0; j --) {
			int c = g[i][j];
			if(t_parent[c] == -1 && c != root)
				stk.push_back(c);
			else
				t_parent[i] = c;
		}
	}
}


typedef mint fft_mint;
const int OmegaMax = 21;
fft_mint OmegaPrim = 44009197;
fft_mint Omega[OmegaMax + 1];

void fft_init() {
	if(Omega[OmegaMax].get() != 0) return;
	fft_mint x = OmegaPrim;
	for(int i = OmegaMax; i >= 0; i --) {
		Omega[i] = x;
		x *= x;
	}
}
//aを破壊する
void fft_main(int logn, const bool inv, fft_mint a[]) {
	fft_init();
	int n = 1 << logn;
	fft_mint ww = Omega[logn];
	if(inv) ww = ww.inverse();
	for(int m = n, mi = 0; m >= 2; m >>= 1, mi ++) {
		int mh = m >> 1;
		fft_mint w = 1;
		rep(i, mh) {
			for(int j = i; j < n; j += m) {
				int k = j + mh;
				fft_mint x = a[j] - a[k];
				a[j] += a[k];
				a[k] = w * x;
			}
			w *= ww;
		}
		ww *= ww;
	}
	int i = 0;
	reu(j, 1, n - 1) {
		for(int k = n >> 1; k > (i ^= k); k >>= 1);
		if(j < i) swap(a[i], a[j]);
	}
}

void fft(int logn, fft_mint a[]) { fft_main(logn, false, a); }
void inverse_fft(int logn, fft_mint a[]) {
	fft_main(logn, true, a);
	int n = 1 << logn;
	fft_mint invn = fft_mint(n).inverse();
	rep(i, n) a[i] *= invn;
}

//v, wを破壊し、vに結果を返す
//v, wのサイズは 2^logn, lognはceil(log_2(size(v) + size(w)))必要
void convolution(fft_mint v[], fft_mint w[], int logn) {
	fft(logn, v); fft(logn, w);
	rep(i, 1 << logn) v[i] *= w[i];
	inverse_fft(logn, v);
}

vector<mint> fact, factinv;
void nCr_computeFactinv(int N) {
	N = min(N, mint::Mod - 1);
	fact.resize(N + 1); factinv.resize(N + 1);
	fact[0] = 1;
	rer(i, 1, N) fact[i] = fact[i - 1] * i;
	factinv[N] = fact[N].inverse();
	for(int i = N; i >= 1; i --) factinv[i - 1] = factinv[i] * i;
}
mint nCr(int n, int r) {
	if(n >= mint::Mod)
		return nCr(n % mint::Mod, r % mint::Mod) * nCr(n / mint::Mod, r / mint::Mod);
	return r > n ? 0 : fact[n] * factinv[n - r] * factinv[r];
}


int main() {
	int N;
	while(~scanf("%d", &N)) {
		vector<vector<int> > g(N);
		for(int i = 0; i < N - 1; ++ i) {
			int u, v;
			scanf("%d%d", &u, &v), -- u, -- v;
			g[u].push_back(v);
			g[v].push_back(u);
		}
		tree_getorder(g, 0);
		vi tsize(N, 1);
		for(int ix = (int)t_ord.size() - 1; ix > 0; -- ix) {
			int i = t_ord[ix], p = t_parent[i];
			tsize[p] += tsize[i];
		}
		int logn = 1;
		while(1 << logn < (N + 1) * 2) ++ logn;
		vector<mint> v(1 << logn);
		rep(i, N) {
			if(i != 0) v[N - tsize[i]] += 1;
			for(int j : g[i]) if(j != t_parent[i])
				v[tsize[j]] += 1;
		}
		nCr_computeFactinv(N);
		rep(i, N + 1)
			v[i] *= fact[i];
		vector<mint> w(1 << logn);
		rep(i, N + 1)
			w[i] = factinv[N - i];
		convolution(v.data(), w.data(), logn);
		rep(k, N + 1)
			v[N + k] *= factinv[k];
		rer(k, 1, N) {
			mint ans;
			ans += nCr(N, k) * k;
			ans += nCr(N - 1, k) * N - v[N + k];
			printf("%d\n", ans.get());
		}
	}
	return 0;
}

Submission Info

Compile Error

./Main.cpp: In function ‘int main()’:
./Main.cpp:146:37: warning: ignoring return value of ‘int scanf(const char*, ...)’, declared with attribute warn_unused_result [-Wunused-result]
    scanf("%d%d", &u, &v), -- u, -- v;
                                     ^

Judge Result