#724282 (C++17) No.1789 Tree Growing

提出ソース

結果

問題	No.1789 Tree Growing
ユーザー	heno239
提出日時	2021-12-15 19:15:59
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	RE
実行時間	-
コード長	10,803 bytes
コンパイル時間	5,242 ms
コンパイル使用メモリ	207,068 KB
実行使用メモリ	23,800 KB
最終ジャッジ日時	2024-09-15 00:32:56
合計ジャッジ時間	8,841 ms
ジャッジサーバーID （参考情報）	judge2 / judge6

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	8 ms 14,108 KB
testcase_01	AC	8 ms 13,980 KB
testcase_02	AC	8 ms 14,056 KB
testcase_03	AC	8 ms 14,056 KB
testcase_04	AC	8 ms 14,792 KB
testcase_05	AC	8 ms 14,500 KB
testcase_06	AC	8 ms 14,800 KB
testcase_07	AC	8 ms 13,916 KB
testcase_08	AC	8 ms 14,868 KB
testcase_09	AC	8 ms 14,464 KB
testcase_10	AC	9 ms 15,272 KB
testcase_11	AC	9 ms 14,176 KB
testcase_12	AC	9 ms 13,988 KB
testcase_13	AC	9 ms 15,292 KB
testcase_14	AC	8 ms 13,972 KB
testcase_15	AC	8 ms 14,256 KB
testcase_16	AC	9 ms 15,180 KB
testcase_17	AC	9 ms 15,264 KB
testcase_18	AC	9 ms 15,588 KB
testcase_19	AC	9 ms 15,660 KB
testcase_20	AC	8 ms 14,248 KB
testcase_21	AC	8 ms 14,680 KB
testcase_22	AC	9 ms 15,372 KB
testcase_23	AC	9 ms 14,460 KB
testcase_24	AC	8 ms 15,008 KB
testcase_25	AC	8 ms 14,084 KB
testcase_26	AC	9 ms 15,344 KB
testcase_27	AC	9 ms 14,712 KB
testcase_28	AC	9 ms 14,960 KB
testcase_29	AC	10 ms 14,884 KB
testcase_30	AC	10 ms 14,328 KB
testcase_31	AC	9 ms 15,440 KB
testcase_32	AC	10 ms 14,896 KB
testcase_33	AC	9 ms 15,136 KB
testcase_34	AC	11 ms 19,852 KB
testcase_35	AC	9 ms 14,092 KB
testcase_36	AC	9 ms 14,348 KB
testcase_37	AC	10 ms 15,092 KB
testcase_38	AC	9 ms 14,268 KB
testcase_39	AC	9 ms 14,924 KB
testcase_40	AC	10 ms 15,420 KB
testcase_41	AC	9 ms 14,028 KB
testcase_42	AC	10 ms 14,980 KB
testcase_43	AC	10 ms 15,304 KB
testcase_44	AC	9 ms 14,580 KB
testcase_45	AC	9 ms 15,004 KB
testcase_46	AC	10 ms 14,180 KB
testcase_47	AC	10 ms 14,556 KB
testcase_48	AC	10 ms 14,496 KB
testcase_49	AC	9 ms 14,236 KB
testcase_50	AC	10 ms 14,404 KB
testcase_51	AC	10 ms 15,644 KB
testcase_52	AC	10 ms 14,276 KB
testcase_53	AC	10 ms 15,284 KB
testcase_54	AC	11 ms 15,716 KB
testcase_55	AC	9 ms 14,160 KB
testcase_56	AC	10 ms 14,384 KB
testcase_57	AC	10 ms 18,580 KB
testcase_58	AC	10 ms 14,276 KB
testcase_59	AC	10 ms 14,700 KB
testcase_60	AC	13 ms 22,436 KB
testcase_61	AC	12 ms 23,784 KB
testcase_62	AC	12 ms 22,456 KB
testcase_63	AC	12 ms 23,800 KB
testcase_64	AC	10 ms 18,412 KB
testcase_65	AC	12 ms 23,644 KB
testcase_66	AC	10 ms 18,680 KB
testcase_67	AC	10 ms 19,012 KB
testcase_68	AC	10 ms 18,696 KB
testcase_69	AC	10 ms 19,044 KB
testcase_70	AC	10 ms 22,936 KB
testcase_71	AC	11 ms 23,048 KB
testcase_72	AC	11 ms 23,144 KB
testcase_73	AC	11 ms 23,504 KB
testcase_74	AC	10 ms 19,136 KB
testcase_75	AC	8 ms 14,200 KB
testcase_76	AC	8 ms 14,120 KB
testcase_77	AC	8 ms 14,632 KB
testcase_78	AC	9 ms 15,396 KB
testcase_79	AC	10 ms 23,088 KB
testcase_80	AC	10 ms 14,768 KB
testcase_81	AC	10 ms 14,868 KB
testcase_82	AC	9 ms 14,804 KB
testcase_83	RE	-
testcase_84	RE	-
testcase_85	RE	-
testcase_86	RE	-
testcase_87	RE	-

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ソースコード

raw source code

#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>
#include<chrono>
using namespace std;

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

typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 1000000007;
const ll INF = mod * mod;
typedef pair<int, int>P;

#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 double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-4;
const ld pi = acosl(-1.0);

template<typename T>
void chmin(T& a, T b) {
	a = min(a, b);
}
template<typename T>
void chmax(T& a, T b) {
	a = max(a, b);
}
template<typename T>
void cinarray(vector<T>& v) {
	rep(i, v.size())cin >> v[i];
}
template<typename T>
void coutarray(vector<T>& v) {
	rep(i, v.size()) {
		if (i > 0)cout << " "; cout << v[i];
	}
	cout << "\n";
}
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;
	if (x == 0)return 0;
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
struct modint {
	int n;
	modint() :n(0) { ; }
	modint(ll m) {
		if (m < 0 || mod <= m) {
			m %= mod; if (m < 0)m += mod;
		}
		n = m;
	}
	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 << 20;
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];
}

ll gcd(ll a, ll b) {
	a = abs(a); b = abs(b);
	if (a < b)swap(a, b);
	while (b) {
		ll r = a % b; a = b; b = r;
	}
	return a;
}


int dx[4] = { 1,0,-1,0 };
int dy[4] = { 0,1,0,-1 };

void expr() {
	vector<int> v = { 1,2,3,3,4,4,4,5 };
	ll pro = 1;
	ll ma = 0;
	int sum = 0;
	function<void(int)>dfs = [&](int dep) {
		if (dep == v.size()) {
			chmax(ma, pro);
			return;
		}

		ll mempro = pro;
		int memsum = sum;

		for (int c = 0;; c++) {
			if (sum + c * v[dep] > 19)break;
			sum += c * v[dep];
			pro *= (c + 1);
			dfs(dep + 1);
			sum = memsum;
			pro = mempro;
		}
	};
	dfs(0);
	cout << ma << "\n";
	//<=144
}

int xroot;
vector<string> trees;
vector<vector<P>> chs;
vector<vector<vector<int>>> nexs;

const int mn = 1 << 7;

int dp[mn][100];
int pardp[mn][100];
vector<int> G[mn];
vector<int> ids[mn];
int root;

void dfs(int id, int fr) {
	rep(i, trees.size()) {
		dp[id][i] = -mod;
	}
	for (int to : G[id]) {
		if (to == fr)continue;
		dfs(to, id);
		ids[id].push_back(to);
	}
	//idになんかおく
	rep(j, trees.size()) {
		//const int sz = chs[j].size();
		int sz = nexs[j].size();
		vector<int> ndp(sz, -mod); ndp[0] = 0;
		vector<int> cop(sz, -mod);
		for (int to : ids[id]) {
			rep(i, ndp.size()) {
				if (ndp[i] < 0)continue;
				chmax(cop[i], ndp[i]);
				rep(a, nexs[j][i].size()) {
					int nex = nexs[j][i][a];
					int uid = chs[j][a].first;
					/*if (id == 4 && j == 1 && i == 0) {
						cout << "? " << nex << " " << uid << "\n";
						cout << ndp[i] << " " << dp[to][uid] << "\n";
					}*/
					if (nex >= 0) {
						chmax(cop[nex], ndp[i] + 1 + dp[to][uid]);
					}
				}
			}
			rep(i, cop.size()) {
				ndp[i] = cop[i]; cop[i] = -mod;
			}
			/*if (id == 4 && j == 1) {
				cout << "?\n";
				cout << nexs[j][0][0] << "\n";
				coutarray(ndp);
			}*/
		}
		chmax(dp[id][j], ndp.back());
	}
	//idになにも置かない
	for (int to : ids[id]) {
		rep(j, trees.size()) {
			chmax(dp[id][j], dp[to][j] + 1);
		}
	}
}

int ledp[105][15000];
int ridp[105][15000];
int ans = -mod;
void invdfs(int id, int fr) {
	vector<int> v;
	for (int to : ids[id])v.push_back(to);
	if (fr >= 0)v.push_back(-1);
	int len = v.size();
	//
	//calcurate id's ans
	vector<int> ndp(nexs[xroot].size(), -mod);
	vector<int> cop = ndp;
	ndp[0] = 0;
	for (int to : ids[id]) {
		rep(i, ndp.size()) {
			chmax(cop[i], ndp[i]);
			rep(a, nexs[xroot][i].size()) {
				int nex = nexs[xroot][i][a];
				int uid = chs[xroot][a].first;
				if (nex >= 0) {
					chmax(cop[nex], ndp[i] + 1 + dp[to][uid]);
				}
			}
		}
		rep(i, ndp.size()) {
			ndp[i] = cop[i]; cop[i] = -mod;
		}
	}
	if (fr >= 0) {
		rep(i, ndp.size()) {
			chmax(cop[i], ndp[i]);
			rep(a, nexs[xroot][i].size()) {
				int nex = nexs[xroot][i][a];
				int uid = chs[xroot][a].first;
				if (nex >= 0) {
					chmax(cop[nex], ndp[i] + 1 + pardp[id][uid]);
				}
			}
		}
		rep(i, ndp.size()) {
			ndp[i] = cop[i]; cop[i] = -mod;
		}
	}
	/*if (ndp.back() >= 0) {
		cout << "?? " << id << "\n";
	}*/
	chmax(ans, ndp.back());
	//cout << "?? " << id << " " << ndp.back() << "\n";
	//rep(j, trees.size())cout << dp[id][j] << " "; cout << "\n";
	//rep(j, trees.size())cout << pardp[id][j] << " "; cout << "\n";

	for (int to : ids[id]) {
		rep(j, trees.size()) {
			pardp[to][j] = -mod;
		}
	}
	//
	rep(j, trees.size()) {
		rep(b, len + 1) {
			rep(i, nexs[j].size()) {
				ledp[b][i] = ridp[b][i] = -mod;
			}
		}
		ledp[0][0] = 0;
		rep(b, len) {
			rep(i, nexs[j].size()) {
				chmax(ledp[b + 1][i], ledp[b][i]);
				rep(a, nexs[j][i].size()) {
					int nex = nexs[j][i][a];
					int uid = chs[j][a].first;
					if (nex >= 0) {
						int val = ledp[b][i] + 1;
						if (v[b] >= 0)val += dp[v[b]][uid];
						else val += pardp[id][uid];
						chmax(ledp[b + 1][nex], val);
					}
				}
			}
		}
		ridp[len][0] = 0;
		per(b, len) {
			rep(i, nexs[j].size()) {
				chmax(ridp[b][i], ridp[b + 1][i]);
				rep(a, nexs[j][i].size()) {
					int nex = nexs[j][i][a];
					int uid = chs[j][a].first;
					if (nex >= 0) {
						int val = ridp[b+1][i] + 1;
						if (v[b] >= 0)val += dp[v[b]][uid];
						else val += pardp[id][uid];
						chmax(ridp[b][nex], val);
					}
				}
			}
		}
		vector<int> sle(len+1,-mod), sri(len + 1,-mod);
		//sle[0] = 0;
		rep(b, len) {
			int val = 1;
			if (v[b] >= 0)val += dp[v[b]][j];
			else val += pardp[id][j];
			sle[b + 1] = max(sle[b], val);
		}
		//sri[len] = 0;
		per(b, len) {
			int val = 1;
			if (v[b] >= 0)val += dp[v[b]][j];
			else val += pardp[id][j];
			sri[b] = max(sri[b+1], val);
		}

		rep(b, ids[id].size()) {
			int to = ids[id][b];
			chmax(pardp[to][j], sle[b]);
			chmax(pardp[to][j], sri[b + 1]);
			rep(i, nexs[j].size()) {
				int val = ledp[b][i] + ridp[b + 1][nexs[j].size() - 1 - i];
				chmax(pardp[to][j], val);
			}
		}
	}
	rep(i, ids[id].size()) {
		int to = ids[id][i];

		//
		//update for return
		//
		invdfs(to, id);
	}
}
void yaru() {
	dfs(root, -1);
	invdfs(root, -1);
}

void solve() {
	int k; cin >> k;
	vector<vector<int>> g(k);
	rep(i, k - 1) {
		int a, b; cin >> a >> b; a--; b--;
		g[a].push_back(b);
		g[b].push_back(a);
	}
	vector<string> memstr(k);
	vector<int> park(k);
	function<string(int, int)> dfsstr = [&](int id, int fr) {
		vector<string> tos;
		for(int to : g[id])if (to != fr) {
			string nex = dfsstr(to, id);
			tos.push_back(nex);
		}
		sort(all(tos));
		string ans = "(";
		for (auto s : tos)ans += s;
		ans.push_back(')');
		memstr[id] = ans;
		park[id] = fr;
		return ans;
	};
	dfsstr(0, -1);
	trees = memstr;
	sort(all(trees));
	trees.erase(unique(all(trees)), trees.end());
	vector<vector<int>> nex(trees.size());
	rep(i, trees.size()) {
		int chk = -1;
		rep(j, memstr.size())if (memstr[j] == trees[i]) {
			chk = j;
		}
		assert(chk >= 0);
		for (int to : g[chk]) {
			if (to == park[chk])continue;
			int loc = lower_bound(all(trees), memstr[to]) - trees.begin();
			nex[i].push_back(loc);
		}
	}
	/*rep1(i, k - 1) {
		int p = park[i];
		p = lower_bound(all(trees), memstr[p]) - trees.begin();
		int cur = lower_bound(all(trees), memstr[i]) - trees.begin();
		nex[p].push_back(cur);
	}*/
	chs.resize(trees.size());
	nexs.resize(trees.size());
	rep(i, trees.size()) {
		sort(all(nex[i]));
		vector<int> szs;
		rep(j, nex[i].size()) {
			int cnt = 1;
			while (j + 1 < nex[i].size() && nex[i][j] == nex[i][j + 1]) {
				cnt++; j++;
			}
			szs.push_back(cnt+1);
			chs[i].push_back({ nex[i][j],cnt });
		}
		vector<int> p(szs.size() + 1);
		p[0] = 1;
		rep(j, szs.size()) {
			p[j + 1] = p[j] * szs[j];
		}
		assert(p.back()<=15000);
		nexs[i].resize(p[szs.size()]);
		rep(j, nexs[i].size()) {
			vector<int> cur(szs.size());
			int cop = j;
			per(k, szs.size()) {
				cur[k] = cop / p[k];
				cop %= p[k];
			}
			rep(k, szs.size()) {
				if (cur[k] + 1 == szs[k]) {
					nexs[i][j].push_back(-1);
				}
				else {
					nexs[i][j].push_back(j + p[k]);
				}
			}
		}
	}
	int n; cin >> n;
	rep(i, n - 1) {
		int a, b; cin >> a >> b; a--; b--;
		G[a].push_back(b);
		G[b].push_back(a);
	}
	xroot = lower_bound(all(trees), memstr[0]) - trees.begin();
	yaru();
	if (ans < 0)ans = -1;
	cout << ans << "\n";

	//for (auto s : trees)cout << s << "\n";
	/*rep(i, nexs[1].size()) {
		coutarray(nexs[1][i]);
	}*/
	/*for (P p : chs[1]) {
		cout << p.first << " " << p.second << "\n";
	}*/
	//cout << dp[4][1] << " " << dp[5][1] << "\n";
	//cout << dp[4][1] << "\n";
}

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(8);
	//init_f();
	//init();
	//while(true)
	//expr();
	//init();
	//int t; cin >> t; rep(i, t)
		solve();
	return 0;
}

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結果

テストケース

ソースコード