結果

問題 No.235 めぐるはめぐる (5)
ユーザー noshi91noshi91
提出日時 2018-04-12 17:30:48
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 892 ms / 10,000 ms
コード長 5,271 bytes
コンパイル時間 607 ms
コンパイル使用メモリ 57,812 KB
実行使用メモリ 19,804 KB
最終ジャッジ日時 2023-09-09 04:20:56
合計ジャッジ時間 4,599 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge14
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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 892 ms
19,780 KB
testcase_01 AC 444 ms
19,776 KB
testcase_02 AC 860 ms
19,804 KB
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ソースコード

diff # 

#define NDEBUG
#define _CRT_SECURE_NO_WARNINGS
#include <cassert>
#include <utility>
#include <vector>

template <typename ValueMonoid, typename OperatorMonoid, class Modify>
class LinkCutTree {
public:
	using value_type = ValueMonoid;
	using operator_type = OperatorMonoid;

private:
	struct node_t {
		node_t *left, *right, *par;
		value_type value, sum;
		operator_type lazy;
		bool isroot, reversed;
		node_t()
			: left(nullptr), right(nullptr), par(nullptr), value(), sum(), lazy(),
			isroot(1), reversed(0) {}
		bool isleft() const { return par->left == this; }
		void assign(const operator_type &data) { lazy = lazy + data; }
		void haulL(node_t *const t) {
			left = t;
			if (t)
				t->par = this;
		}
		void haulR(node_t *const t) {
			right = t;
			if (t)
				t->par = this;
		}
	};
	value_type reflect(const node_t *const t) const {
		if (!t)
			return value_type();
		if (t->reversed)
			return m(~t->sum, t->lazy);
		return m(t->sum, t->lazy);
	}
	void recalc(node_t *const t) {
		t->sum = reflect(t->left) + t->value + reflect(t->right);
	}
	void splay(node_t *const t) {
		node_t *p, *pp = t, *x = t->par;
		while (!t->isroot) {
			if (x->left == pp)
				x->left = t;
			else
				x->right = t;
			p = t->par;
			if (p->isroot) {
				t->par = p->par;
				std::swap(t->isroot, p->isroot);
				if (p->left == t) {
					p->haulL(t->right);
					t->haulR(p);
				}
				else {
					p->haulR(t->left);
					t->haulL(p);
				}
				recalc(p);
				break;
			}
			pp = p->par;
			x = pp->par;
			std::swap(t->isroot, pp->isroot);
			if (t->isleft()) {
				if (p->isleft()) {
					pp->haulL(p->right);
					p->haulR(pp);
				}
				else {
					pp->haulR(t->left);
					t->haulL(pp);
				}
				p->haulL(t->right);
				t->haulR(p);
			}
			else {
				if (p->isleft()) {
					pp->haulL(t->right);
					t->haulR(pp);
				}
				else {
					pp->haulR(p->left);
					p->haulL(pp);
				}
				p->haulR(t->left);
				t->haulL(p);
			}
			recalc(pp);
			recalc(p);
			t->par = x;
		}
	}
	void expose(node_t *const t, node_t *const prev) {
		splay(t);
		if (t->right)
			t->right->isroot = 1;
		t->right = prev;
		if (prev)
			prev->isroot = 0;
		recalc(t);
		if (t->par)
			expose(t->par, t);
	}
	void push(node_t *const t) {
		if (t->left)
			t->left->assign(t->lazy);
		if (t->right)
			t->right->assign(t->lazy);
		t->value = m(t->value, t->lazy);
		t->lazy = operator_type();
		if (!t->reversed)
			return;
		std::swap(t->left, t->right);
		if (t->left)
			t->left->reversed ^= 1;
		if (t->right)
			t->right->reversed ^= 1;
		t->value = ~t->value;
		t->reversed = 0;
	}
	void propagate(node_t *const t) {
		if (t->par)
			propagate(t->par);
		push(t);
	}
	void expose(node_t *const n) {
		propagate(n);
		expose(n, nullptr);
		splay(n);
		recalc(n);
	}
	using container_type = std::vector<node_t>;

public:
	using size_type = typename container_type::size_type;

private:
	container_type tree;
	const Modify m;
	void reroot(const size_type v) {
		expose(&tree[v]);
		tree[v].reversed ^= 1;
	}

public:
	explicit LinkCutTree(const size_type size, const Modify &m = Modify())
		: tree(size), m(m) {}
	explicit LinkCutTree(const std::vector<value_type> &a,
		const Modify &m = Modify())
		: tree(a.size()), m(m) {
		for (size_type i = 0; i < a.size(); ++i)
			tree[i].value = tree[i].sum = a[i];
	}
	void link(const size_type child, const size_type parent) {
		assert(child < size());
		assert(parent < size());
		reroot(child);
		tree[child].par = &tree[parent];
	}
	void cut(const size_type child) {
		assert(child < size());
		node_t *const n = &tree[child];
		expose(n);
		if (n->left) {
			n->left->isroot = 1;
			n->left->par = nullptr;
		}
		n->left = nullptr;
		n->sum = n->value;
	}
	void update(const size_type u, const size_type v, const operator_type &data) {
		assert(u < size());
		assert(v < size());
		reroot(u);
		expose(&tree[v]);
		tree[v].assign(data);
	}
	value_type path(const size_type u, const size_type v) {
		assert(u < size());
		assert(v < size());
		reroot(u);
		expose(&tree[v]);
		return reflect(&tree[v]);
	}
	size_type size() const noexcept { return tree.size(); }
	bool empty() const noexcept { return tree.empty(); }
};

#include<cstdint>
using uint32 = std::uint_fast32_t;
constexpr uint32 MOD = 1000000007;
struct parade {
	uint32 z;
	parade(uint32 z = 0) :z(z) {}
	parade operator+(const parade &o)const {
		return parade((z + o.z) % MOD);
	}
};
struct city {
	uint32 s, c;
	city(uint32 s = 0, uint32 c = 0) :s(s), c(c) {}
	city operator~()const { return *this; }
	city operator+(const city &o)const { return city((s + o.s) % MOD, (c + o.c) % MOD); }
};
struct hoge {
	city operator()(const city &x, const parade &y)const {
		return city((static_cast<std::uint_fast64_t>(x.c)*y.z + x.s) % MOD, x.c);
	}
};

#include<cstdio>
#include<vector>
int main(void) {
	int n;
	scanf("%d", &n);
	std::vector<city> d(n);
	for (auto &e : d)scanf("%u", &e.s);
	for (auto &e : d)scanf("%u", &e.c);
	LinkCutTree<city, parade, hoge> T(d);
	while (--n) {
		int a, b;
		scanf("%d %d", &a, &b);
		T.link(a - 1, b - 1);
	}
	int q;
	scanf("%d", &q);
	while (q--) {
		int t, x, y;
		parade z;
		scanf("%d %d %d", &t, &x, &y);
		--x, --y;
		if (t) {
			printf("%u\n", T.path(x, y).s);
		}
		else {
			scanf("%u", &z.z);
			T.update(x, y, z);
		}
	}
	return 0;
}
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