#866569 (C++17) No.2296 Union Path Query (Hard)

• 問題: No.2296 Union Path Query (Hard)
• ユーザー: heno239
• 提出日時: 2023-05-05 22:36:34
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 890 ms / 7,000 ms
• コード長: 11,914 bytes
• コンパイル時間: 3,174 ms
• コンパイル使用メモリ: 159,760 KB
• 実行使用メモリ: 52,072 KB
• 最終ジャッジ日時: 2023-08-15 05:21:31
• 合計ジャッジ時間: 34,197 ms
• ジャッジサーバーID （参考情報）: judge14 / judge12

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	6 ms; 11,764 KB
testcase_01	AC	45 ms; 51,808 KB
testcase_02	AC	46 ms; 51,940 KB
testcase_03	AC	46 ms; 51,784 KB
testcase_04	AC	364 ms; 51,780 KB
testcase_05	AC	368 ms; 51,948 KB
testcase_06	AC	461 ms; 51,780 KB
testcase_07	AC	551 ms; 51,828 KB
testcase_08	AC	543 ms; 51,844 KB
testcase_09	AC	487 ms; 34,428 KB
testcase_10	AC	522 ms; 34,512 KB
testcase_11	AC	537 ms; 34,484 KB
testcase_12	AC	527 ms; 31,524 KB
testcase_13	AC	293 ms; 13,444 KB
testcase_14	AC	248 ms; 12,620 KB
testcase_15	AC	551 ms; 51,832 KB
testcase_16	AC	549 ms; 41,648 KB
testcase_17	AC	476 ms; 21,312 KB
testcase_18	AC	858 ms; 51,864 KB
testcase_19	AC	771 ms; 31,572 KB
testcase_20	AC	846 ms; 51,796 KB
testcase_21	AC	860 ms; 51,800 KB
testcase_22	AC	890 ms; 51,780 KB
testcase_23	AC	452 ms; 51,776 KB
testcase_24	AC	380 ms; 31,528 KB
testcase_25	AC	356 ms; 51,776 KB
testcase_26	AC	361 ms; 51,840 KB
testcase_27	AC	477 ms; 51,840 KB
testcase_28	AC	493 ms; 51,876 KB
testcase_29	AC	435 ms; 52,036 KB
testcase_30	AC	456 ms; 51,796 KB
testcase_31	AC	401 ms; 52,064 KB
testcase_32	AC	466 ms; 51,968 KB
testcase_33	AC	578 ms; 51,876 KB
testcase_34	AC	312 ms; 52,072 KB
testcase_35	AC	385 ms; 51,800 KB
testcase_36	AC	730 ms; 51,876 KB
testcase_37	AC	518 ms; 37,908 KB
testcase_38	AC	501 ms; 37,912 KB
testcase_39	AC	506 ms; 37,968 KB
testcase_40	AC	497 ms; 38,048 KB
testcase_41	AC	5 ms; 11,824 KB
testcase_42	AC	5 ms; 11,544 KB
testcase_43	AC	5 ms; 11,764 KB
testcase_44	AC	513 ms; 51,852 KB
testcase_45	AC	519 ms; 51,872 KB
testcase_46	AC	551 ms; 51,792 KB
testcase_47	AC	597 ms; 51,836 KB
testcase_48	AC	568 ms; 51,876 KB

ソースコード

//#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;
//ll mod = 1;
constexpr ll mod = 998244353;
//constexpr ll mod = 1000000007;
const int mod17 = 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;

using ld = long double;
typedef pair<ld, ld> LDP;
const ld eps = 1e-10;
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>
vector<T> vmerge(vector<T>& a, vector<T>& b) {
	vector<T> res;
	int ida = 0, idb = 0;
	while (ida < a.size() || idb < b.size()) {
		if (idb == b.size()) {
			res.push_back(a[ida]); ida++;
		}
		else if (ida == a.size()) {
			res.push_back(b[idb]); idb++;
		}
		else {
			if (a[ida] < b[idb]) {
				res.push_back(a[ida]); ida++;
			}
			else {
				res.push_back(b[idb]); idb++;
			}
		}
	}
	return res;
}
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;
}
//mod should be <2^31
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; }
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 -= (int)mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += (int)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;
}
template<typename T>
void addv(vector<T>& v, int loc, T val) {
	if (loc >= v.size())v.resize(loc + 1, 0);
	v[loc] += val;
}
/*const int mn = 2000005;
bool isp[mn];
vector<int> ps;
void init() {
	fill(isp + 2, isp + mn, true);
	for (int i = 2; i < mn; i++) {
		if (!isp[i])continue;
		ps.push_back(i);
		for (int j = 2 * i; j < mn; j += i) {
			isp[j] = false;
		}
	}
}*/

//[,val)
template<typename T>
auto prev_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	if (res == st.begin())return st.end();
	res--; return res;
}

//[val,)
template<typename T>
auto next_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	return res;
}
using mP = pair<modint, modint>;
mP operator+(mP a, mP b) {
	return { a.first + b.first,a.second + b.second };
}
mP operator+=(mP& a, mP b) {
	a = a + b; return a;
}
mP operator-(mP a, mP b) {
	return { a.first - b.first,a.second - b.second };
}
mP operator-=(mP& a, mP b) {
	a = a - b; return a;
}
LP operator+(LP a, LP b) {
	return { a.first + b.first,a.second + b.second };
}
LP operator+=(LP& a, LP b) {
	a = a + b; return a;
}
LP operator-(LP a, LP b) {
	return { a.first - b.first,a.second - b.second };
}
LP operator-=(LP& a, LP b) {
	a = a - b; return a;
}

mt19937 mt(time(0));

const string drul = "DRUL";
string senw = "SENW";
//DRUL,or SENW
//int dx[4] = { 1,0,-1,0 };
//int dy[4] = { 0,1,0,-1 };

//-----------------------------------------



// 以下の実装では link, range, query などで reroot が起こるので注意
template<typename T> class LinkCutTree {
public:
	struct node {
		int sz;
		T val, al, lazy;
		node* left, * right, * par;
		bool rev;
		node(const T _val) : sz(1), val(_val), al(_val), lazy(e1),
			left(nullptr), right(nullptr), par(nullptr), rev(false) {}
		bool isRoot() const {
			return (!par) || (par->left != this && par->right != this);
		}
		void push() {
			if (lazy != e1) {
				opr1(val, lazy), al += lazy * sz;
				if (left) opr1(left->lazy, lazy);
				if (right) opr1(right->lazy, lazy);
				lazy = e1;
			}
			if (!rev) return;
			swap(left, right);
			if (left) left->rev = !(left->rev);
			if (right) right->rev = !(right->rev);
			rev = false;
		}
		void eval() {
			sz = 1, al = val;
			if (left) left->push(), sz += left->sz, al = opr2(left->al, al);
			if (right) right->push(), sz += right->sz, al = opr2(al, right->al);
		}
	};
	static const T e1 = (T)0;
	static void opr1(T& arg1, const T arg2) {
		arg1 += arg2;
	}
	static T opr2(const T arg1, const T arg2) {
		return arg1 + arg2;
	}

private:
	// 回転
	void rotate(node* u, bool right) {
		node* p = u->par, * g = p->par;
		if (right) {
			if ((p->left = u->right)) u->right->par = p;
			u->right = p, p->par = u;
		}
		else {
			if ((p->right = u->left)) u->left->par = p;
			u->left = p, p->par = u;
		}
		p->eval(), u->eval(), u->par = g;
		if (!g) return;
		if (g->left == p) g->left = u;
		if (g->right == p) g->right = u;
		g->eval();
	}
	// u を splay 木の根にする
	void splay(node* u) {
		while (!(u->isRoot())) {
			node* p = u->par, * gp = p->par;
			if (p->isRoot()) { // zig
				p->push(), u->push();
				rotate(u, (u == p->left));
			}
			else {
				gp->push(), p->push(), u->push();
				bool flag = (u == p->left);
				if ((u == p->left) == (p == gp->left)) { // zig-zig
					rotate(p, flag), rotate(u, flag);
				}
				else { // zig-zag
					rotate(u, flag), rotate(u, !flag);
				}
			}
		}
		u->push();
	}
	node* access(node* u) {
		node* last = nullptr;
		for (node* v = u; v; v = v->par) {
			splay(v);
			v->right = last;
			v->eval();
			last = v;
		}
		splay(u);
		return last;
	}
	bool connected(node* u, node* v) {
		access(u), access(v);
		return u == v || u->par;
	}
	void link(node* u, node* v) {
		evert(u), u->par = v;
	}
	void cut(node* u) {
		access(u);
		u->left->par = nullptr, u->left = nullptr, u->eval();
	}
	void cut(node* u, node* v) {
		access(u), access(v);
		if (u->isRoot()) u->par = nullptr;
		else v->left->par = nullptr, v->left = nullptr, v->eval();
	}
	node* lca(node* u, node* v) {
		access(u);
		return access(v);
	}
	void evert(node* u) {
		access(u);
		u->rev = !(u->rev), u->push();
	}
	int depth(node* u) {
		access(u);
		return u->sz - 1;
	}
	void toRoot_range(node* u, const T x) {
		access(u);
		opr1(u->lazy, x), u->push();
	}
	T toRoot_query(node* u) {
		access(u);
		return u->al;
	}
	void range(node* u, node* v, const T x) {
		evert(u), access(v);
		opr1(v->lazy, x), v->push();
	}
	T query(node* u, node* v) {
		evert(u), access(v);
		return v->al;
	}

public:
	const int V;
	node** arr;
	LinkCutTree(const vector<T>& init_node_value)
		: V((int)init_node_value.size()) {
		arr = new node * [V];
		for (int i = 0; i < V; ++i) {
			arr[i] = new node(init_node_value[i]);
		}
	}
	// ~LinkCutTree(){
	//     for(int i = 0; i < V; ++i){
	//         delete arr[i];
	//     }
	//     delete[] arr;
	// }
	// id1 と id2 が同じ木(連結成分)に属するか
	bool connected(int id1, int id2) { return connected(arr[id1], arr[id2]); }
	// id1 を id2 の non-preferred edge にする
	void link(int id1, int id2) { return link(arr[id1], arr[id2]); }
	// id とその親の間の辺を削除する
	void cut(int id) { return cut(arr[id]); }
	// id と id2 の間の辺を削除する
	void cut(int id1, int id2) { return cut(arr[id1], arr[id2]); }
	// id1 と id2 の LCA を求める
	int lca(int id1, int id2) { return static_cast<size_t>(lca(arr[id1], arr[id2]) - arr[0]); }
	// 元の木の根を id にする
	void evert(int id) { return evert(arr[id]); }
	// id の深さを求める
	int depth(int id) { return depth(arr[id]); }
	// id から根までの間にある頂点すべてに x を足す
	void toRoot_range(int id, const T x) { return toRoot_range(arr[id], x); }
	// id から根までの間にある頂点すべてのコストの総和を求める
	T toRoot_query(int id) { return toRoot_query(arr[id]); }
	// id1 と id2 の間にある頂点すべてに x を足す
	void range(int id1, int id2, const T x) { return range(arr[id1], arr[id2], x); }
	// id1 と id2 の間にある頂点すべてのコストの総和を求める
	T query(int id1, int id2) { return query(arr[id1], arr[id2]); }
};

void solve() {
	int n, x, q; cin >> n >> x >> q;
	vector<int> par(n);
	vector<int> sz(n);
	vector<P> mem(n);
	rep(i, n) {
		par[i] = i;
		mem[i] = { i,i };
		sz[i] = 1;
	}
	vector<ll> ori(2 * n - 1, 0);
	LinkCutTree<ll> lt(ori);
	int tmp = n;
	auto calcd = [&](int a, int b)->ll {
		if (!lt.connected(a, b))return -1;
		lt.evert(a);
		return lt.toRoot_query(b);
	};
	auto merge = [&](int a, int b, int w) {
		//cout << "add " << a << " " << b << " " << w << "\n";
		lt.evert(a);
		lt.link(a, tmp);
		lt.evert(b);
		lt.link(b, tmp);
		lt.evert(tmp);
		lt.toRoot_range(tmp, w);
		tmp++;
		while (a != par[a])a = par[a];
		while (b != par[b])b = par[b];
		if (sz[a] > sz[b])swap(a, b);
		par[a] = b;
		sz[b] += sz[a];
		ll ma = -1;
		vector<int> vs;
		vs.push_back(mem[a].first);
		vs.push_back(mem[a].second);
		vs.push_back(mem[b].first);
		vs.push_back(mem[b].second);
		rep(i, vs.size())Rep(j, i + 1, vs.size()) {
			ll val = calcd(vs[i], vs[j]);
			if (val > ma) {
				ma = val; mem[b] = { vs[i],vs[j] };
			}
		}
	};
	auto query1 = [&](int v) {
		while (par[v] != v)v = par[v];
		int le = mem[v].first;
		int ri = mem[v].second;
		return calcd(le, ri);
	};
	rep(i, q) {
		int t; cin >> t;
		if (t == 1) {
			int a, w; cin >> a >> w;
			merge(a, x, w);
		}
		else if (t == 2) {
			int a, b; cin >> a >> b;
			ll c = calcd(a, b);
			cout << c << "\n";
			if (c >= 0) {
				c %= n;
				x += c; x %= n;
			}
		}
		else if (t == 3) {
			int a; cin >> a;
			ll ans = query1(a);
			cout << ans << "\n";
		}
		else {
			int v; cin >> v; x += v; x %= n;
		}
	}
}



signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout << fixed << setprecision(15);
	//init_f();
	//init();
	//while(true)
	//expr();
	//int t; cin >> t; rep(i, t)
	solve();
	return 0;
}