#451712 (C++14) No.827 総神童数

提出ソース

結果

問題	No.827 総神童数
ユーザー	satanic
提出日時	2020-03-30 20:56:52
言語	C++14 (gcc 13.2.0 + boost 1.83.0)
結果	AC
実行時間	131 ms / 2,000 ms
コード長	7,222 bytes
コンパイル時間	2,643 ms
コンパイル使用メモリ	128,784 KB
実行使用メモリ	32,876 KB
最終ジャッジ日時	2023-09-05 06:34:36
合計ジャッジ時間	6,337 ms
ジャッジサーバーID （参考情報）	judge11 / judge13

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	16 ms 11,172 KB
testcase_01	AC	16 ms 11,220 KB
testcase_02	AC	16 ms 11,180 KB
testcase_03	AC	16 ms 11,192 KB
testcase_04	AC	16 ms 11,252 KB
testcase_05	AC	17 ms 11,192 KB
testcase_06	AC	17 ms 11,416 KB
testcase_07	AC	16 ms 11,196 KB
testcase_08	AC	16 ms 11,184 KB
testcase_09	AC	115 ms 32,876 KB
testcase_10	AC	45 ms 18,248 KB
testcase_11	AC	18 ms 11,604 KB
testcase_12	AC	27 ms 14,220 KB
testcase_13	AC	89 ms 29,048 KB
testcase_14	AC	19 ms 11,836 KB
testcase_15	AC	42 ms 18,004 KB
testcase_16	AC	88 ms 26,528 KB
testcase_17	AC	105 ms 29,724 KB
testcase_18	AC	51 ms 19,808 KB
testcase_19	AC	130 ms 27,128 KB
testcase_20	AC	93 ms 22,628 KB
testcase_21	AC	66 ms 19,544 KB
testcase_22	AC	101 ms 23,944 KB
testcase_23	AC	17 ms 11,276 KB
testcase_24	AC	116 ms 25,200 KB
testcase_25	AC	85 ms 21,808 KB
testcase_26	AC	118 ms 25,200 KB
testcase_27	AC	77 ms 20,600 KB
testcase_28	AC	73 ms 20,324 KB
testcase_29	AC	58 ms 18,512 KB
testcase_30	AC	28 ms 13,256 KB
testcase_31	AC	48 ms 16,884 KB
testcase_32	AC	48 ms 16,616 KB
testcase_33	AC	131 ms 26,532 KB
testcase_34	AC	115 ms 25,204 KB
testcase_35	AC	49 ms 16,904 KB
testcase_36	AC	67 ms 19,196 KB
testcase_37	AC	78 ms 21,804 KB
testcase_38	AC	126 ms 26,292 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

raw source code

// need
#include <iostream>
#include <algorithm>
// data structure
#include <bitset>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <utility>
#include <vector>
#include <complex>
//#include <deque>
#include <valarray>
#include <unordered_map>
#include <unordered_set>
#include <array>
// stream
//#include <istream>
#include <sstream>
//#include <ostream>
#include <fstream>
// etc
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>

// input
#define INIT std::ios::sync_with_stdio(false);std::cin.tie(0);
#define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__);
template<typename T> void MACRO_VAR_Scan(T& t) { std::cin >> t; }
template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest& ...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); }
#define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w_=0; w_<n; ++w_){MACRO_VEC_ROW_Scan(w_, __VA_ARGS__);}
template<typename T> void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Init(int n, First& first, Rest& ...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); }
template<typename T> void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest& ...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); }
#define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)std::cin>>i;
#define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& R:c)for(auto& w:R)std::cin>>w;
// output
#define OUT(dist) std::cout<<(dist);
#define FOUT(n, dist) std::cout<<std::fixed<<std::setprecision(n)<<(dist);
#define SOUT(n, c, dist) std::cout<<std::setw(n)<<std::setfill(c)<<(dist);
#define SP std::cout<<" ";
#define TAB std::cout<<"\t";
#define BR std::cout<<"\n";
#define SPBR(w, n) std::cout<<(w + 1 == n ? '\n' : ' ');
#define ENDL std::cout<<std::endl;
#define FLUSH std::cout<<std::flush;
#define SHOW(dist) {std::cerr << #dist << "\t:" << (dist) << "\n";}
#define SHOWVECTOR(v) {std::cerr << #v << "\t:";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";}
#define SHOWVECTOR2(v) {std::cerr << #v << "\t:\n";for(const auto& xxx : v){for(const auto& yyy : xxx){std::cerr << yyy << " ";}std::cerr << "\n";}}
#define SHOWQUEUE(a) {auto tmp(a);std::cerr << #a << "\t:";while(!tmp.empty()){std::cerr << tmp.front() << " ";tmp.pop();}std::cerr << "\n";}
// utility
#define ALL(a) (a).begin(),(a).end()
#define FOR(w, a, n) for(int w=(a);w<(n);++w)
#define RFOR(w, a, n) for(int w=(n)-1;w>=(a);--w)
#define REP(w, n) for(int w=0;w<int(n);++w)
#define RREP(w, n) for(int w=int(n)-1;w>=0;--w)
#define IN(a, x, b) (a<=x && x<b)
template<class T> inline T CHMAX(T & a, const T b) { return a = (a < b) ? b : a; }
template<class T> inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; }
#define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]"
#define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;}
//void CHECKTIME(std::function<void()> f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast<std::chrono::nanoseconds>((end - start)).count(); std::cerr << "[Time:" << res << "ns  (" << res / (1.0e9) << "s)]\n"; }
// test
template<class T> using V = std::vector<T>;
template<class T> using VV = V<V<T>>;

template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, std::pair<S, T> p) {
	os << "(" << p.first << ", " << p.second << ")"; return os;
}

#define random_shuffle "USE std::shuffle!";

// type/const
#define int ll
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PAIR = std::pair<int, int>;
using PAIRLL = std::pair<ll, ll>;
constexpr int INFINT = (1 << 30) - 1;                    // 1.07x10^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1;              // 2.15x10^ 9
constexpr ll INFLL = 1LL << 60;                          // 1.15x10^18
constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62);  // 9.22x10^18
constexpr double EPS = 1e-10;
constexpr int MOD = 1000000007;
constexpr double PI = 3.141592653589793238462643383279;
template<class T, size_t N> void FILL(T(&a)[N], const T & val) { for (auto& x : a) x = val; }
template<class ARY, size_t N, size_t M, class T> void FILL(ARY(&a)[N][M], const T & val) { for (auto& b : a) FILL(b, val); }
template<class T> void FILL(std::vector<T> & a, const T & val) { for (auto& x : a) x = val; }
template<class ARY, class T> void FILL(std::vector<std::vector<ARY>> & a, const T & val) { for (auto& b : a) FILL(b, val); }
// ------------>8------------------------------------->8------------

ll powMod(ll n, ll p, ll mod) {
	ll res = 1;
	while (p) {
		if (p & 1) (res *= n) %= mod;
		(n *= n) %= mod;
		p >>= 1;
	}
	return res;
}
ll invMod(ll n, ll mod) {
	return powMod(n, MOD - 2, MOD);
}

const signed FACT_MAX_N = 1000006;
signed fact[FACT_MAX_N];
signed factInv[FACT_MAX_N];
struct INIT_FACT {
	INIT_FACT() {
		fact[0] = 1;
		for (int i = 1; i < FACT_MAX_N; ++i) fact[i] = (long long)i * fact[i - 1] % MOD;
		factInv[FACT_MAX_N - 1] = powMod(fact[FACT_MAX_N - 1], MOD - 2, MOD);
		for (int i = FACT_MAX_N - 2; i >= 0; --i) factInv[i] = (long long)(i + 1) * factInv[i + 1] % MOD;
	}
} init_fact;

#if true // true if use MOD
/* n,r<=10^6, query O(1)*/
ll Permutation(int n, int r) {
	if (r == 0) return 1;
	if (n < r) return 0;
	return (long long)fact[n] * factInv[n - r] % MOD;
}
ll Combination(int n, int r) {
	if (r == 0) return 1;
	if (n < r) return 0;
	return (long long)fact[n] * factInv[n - r] % MOD * factInv[r] % MOD;
}
ll CombinationWithRepetition(ll n, ll r) {
	return Combination(n + r - 1, r);
}
/*n<=10^9, r<=10^5, query O(r)*/
/*ll Combination(ll n, ll r, ll mod) {
	if (n < r) return 0;
	ll ans = 1;
	if (n < 2 * r) r = n - r;
	for (int i = 1; i <= r; ++i) {
		ans *= n - i + 1; ans %= mod;
		ans *= powMod(i, mod - 2, mod); ans %= mod;
	}
	return ans;
}
ll Permutation(int n, int r, int mod) {
	return Combination(n, r, mod) * fact[r] % MOD;
}*/
#else // unuse MOD
const signed COMB_MAX_N = 67; // <- max : 67
long long comb[COMB_MAX_N][COMB_MAX_N];
struct INIT_COMB {
	INIT_COMB() {
		for (int i = 0; i < COMB_MAX_N; ++i) {
			for (int j = 0; j <= i; ++j) {
				if (j == 0 || j == i) comb[i][j] = 1;
				else comb[i][j] = comb[i - 1][j - 1] + comb[i - 1][j];
			}
		}
	}
} init_comb;
#endif

signed main() {
	INIT;

	VAR(int, n);
	VEC_ROW(int, n - 1, a, b);
	std::vector<std::vector<int>> g(n);
	REP(i, n-1) {
		--a[i]; --b[i];
		g[a[i]].emplace_back(b[i]);
		g[b[i]].emplace_back(a[i]);
	}

	V<int> depth(n, 0);
	auto rec = [&](auto && f, int v, int par) -> void {
		for (auto& to : g[v]) if (to != par) {
			depth[to] = depth[v] + 1;
			f(f, to, v);
		}
	};
	rec(rec, 0, -1);

	int ans = 0;
	for (auto& d : depth) {
		(ans += Combination(n, d + 1) * fact[d] % MOD * fact[n - d - 1]) %= MOD;
	}
	OUT(ans)BR;

	return 0;
}

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結果

テストケース

ソースコード