結果

問題 No.1216 灯籠流し/Lanterns
ユーザー heno239heno239
提出日時 2020-08-30 17:17:01
言語 C++14
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 1,167 ms / 4,500 ms
コード長 9,668 bytes
コンパイル時間 3,081 ms
コンパイル使用メモリ 168,480 KB
実行使用メモリ 43,884 KB
最終ジャッジ日時 2023-08-09 16:56:59
合計ジャッジ時間 23,131 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge15
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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 3 ms
4,672 KB
testcase_01 AC 3 ms
4,708 KB
testcase_02 AC 2 ms
4,688 KB
testcase_03 AC 2 ms
4,796 KB
testcase_04 AC 83 ms
23,948 KB
testcase_05 AC 659 ms
34,524 KB
testcase_06 AC 55 ms
9,980 KB
testcase_07 AC 536 ms
26,292 KB
testcase_08 AC 393 ms
17,532 KB
testcase_09 AC 218 ms
17,100 KB
testcase_10 AC 218 ms
14,584 KB
testcase_11 AC 142 ms
19,536 KB
testcase_12 AC 66 ms
20,996 KB
testcase_13 AC 213 ms
28,148 KB
testcase_14 AC 62 ms
16,460 KB
testcase_15 AC 80 ms
17,104 KB
testcase_16 AC 118 ms
25,684 KB
testcase_17 AC 143 ms
11,120 KB
testcase_18 AC 83 ms
16,264 KB
testcase_19 AC 260 ms
22,096 KB
testcase_20 AC 145 ms
19,696 KB
testcase_21 AC 100 ms
18,616 KB
testcase_22 AC 179 ms
14,816 KB
testcase_23 AC 91 ms
25,008 KB
testcase_24 AC 35 ms
9,420 KB
testcase_25 AC 24 ms
9,340 KB
testcase_26 AC 141 ms
12,320 KB
testcase_27 AC 102 ms
19,432 KB
testcase_28 AC 103 ms
25,360 KB
testcase_29 AC 171 ms
27,532 KB
testcase_30 AC 175 ms
23,060 KB
testcase_31 AC 204 ms
15,668 KB
testcase_32 AC 208 ms
28,088 KB
testcase_33 AC 75 ms
18,928 KB
testcase_34 AC 693 ms
35,252 KB
testcase_35 AC 993 ms
34,540 KB
testcase_36 AC 517 ms
31,768 KB
testcase_37 AC 470 ms
32,720 KB
testcase_38 AC 323 ms
32,292 KB
testcase_39 AC 801 ms
35,036 KB
testcase_40 AC 1,087 ms
37,680 KB
testcase_41 AC 1,167 ms
43,884 KB
testcase_42 AC 1,085 ms
37,740 KB
testcase_43 AC 1,083 ms
37,744 KB
testcase_44 AC 1,090 ms
37,924 KB
testcase_45 AC 360 ms
31,772 KB
testcase_46 AC 370 ms
34,104 KB
testcase_47 AC 366 ms
33,988 KB
testcase_48 AC 351 ms
32,524 KB
testcase_49 AC 373 ms
33,980 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

diff # 

#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<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
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 stop char nyaa;cin>>nyaa;
#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 long double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acosl(-1.0);

ll mod_pow(ll x, ll n, ll m = mod) {
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
struct modint {
	ll n;
	modint() :n(0) { ; }
	modint(ll m) :n(m) {
		if (n >= mod)n %= mod;
		else if (n < 0)n = (n % mod + mod) % mod;
	}
	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)); }

const int max_n = 1000;
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];
}

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


struct SegT {
private:
	int sz; vector<vector<ll>> node,lazy;
public:
	SegT(int n) {
		sz = 1;
		while (sz < n)sz *= 2;
		node.resize(2 * sz - 1);
		lazy.resize(2 * sz - 1);
	}
	void add(ll x, int a, int b, int k = 0, int l = 0, int r = -1) {
		if (r < 0)r = sz;
		if (r <= a || b <= l)return;
		else if (a <= l && r <= b) {
			lazy[k].push_back(x);
		}
		else {
			add(x,a, b, k * 2 + 1, l, (l + r) / 2);
			add(x,a, b, k * 2 + 2, (l + r) / 2, r);
		}
	}
	int query(int loc, ll x) {
		int res = 0;
		int k = loc + sz - 1;
		res += upper_bound(all(node[k]),x)-node[k].begin();
		while (k > 0) {
			k = (k - 1) / 2;
			res += upper_bound(all(node[k]), x) - node[k].begin();
		}
		return res;
	}
	void all_clean() {
		rep(k, 2 * sz - 1) {
			if (lazy[k].size()) {
				sort(all(lazy[k]));
				int id0 = 0, id1 = 0;
				vector<ll> nex(node[k].size() + lazy[k].size());
				while (id0 < node[k].size() || id1 < lazy[k].size()) {
					if (id0 == node[k].size()) {
						nex[id0 + id1] = lazy[k][id1]; id1++;
					}
					else if (id1 == lazy[k].size()) {
						nex[id0 + id1] = node[k][id0]; id0++;
					}
					else {
						if (node[k][id0] < lazy[k][id1]) {
							nex[id0 + id1] = node[k][id0]; id0++;
						}
						else {
							nex[id0 + id1] = lazy[k][id1]; id1++;
						}
					}
				}
				swap(nex, node[k]);
				lazy[k].clear();
			}
		}
	}
};

struct edge {
	int to;
};
using edges = vector<edge>;
using Graph = vector<edges>;
struct HLDecomposition {
	struct Chain {
		int depth;
		P parent;//chain number,index
		vector<P> child;//child chain number,parent index
		vector<int> mapfrom;
		SegT stree;

		//Chain() { ; }
		Chain(int n) :stree(n) { ; }
	};
	Graph baseG;
	vector<Chain> chains;
	vector<P> mapto;//raw index->chain number &index
	vector<vector<int>> mapfrom;//chain number & index ->raw index

	HLDecomposition() { ; }
	HLDecomposition(const Graph& g) {
		baseG = g;
		const int n = baseG.size();
		mapto = vector<P>(n, P{ -1,-1 });
		mapfrom.clear();
		vector<int> sz(n, 0);
		int start = -1;
		rep(i, n)if (baseG[i].size() <= 1) { start = i; break; }
		//assert(start != -1);
		size_check_bfs(start, sz);
		decomposition(start, start, 0, 0, 0, sz);
	}
	int depth(int t) {
		return chains[mapto[t].first].depth;
	}

private:
	void size_check_bfs(int start, vector<int>& sz) {
		const int n = baseG.size();
		queue<P> que;
		que.push({ start,start });
		int cnt = 0; vector<int> ord(n, -1);
		while (!que.empty()) {
			int from, parent;
			tie(from, parent) = que.front(); que.pop();
			ord[cnt++] = from;
			for (edge e : baseG[from]) {
				if (e.to == parent)continue;
				que.push({ e.to,from });
			}
		}
		//assert(cnt == n);
		reverse(all(ord));
		rep(i, n) {
			int from = ord[i];
			sz[from] = 1; for (edge e : baseG[from])sz[from] += sz[e.to];
		}
	}
	int decomposition(int from, int parent, int depth, int pnumber, int pindex, const vector<int>& sz) {
		vector<int> seq;
		bfs(from, parent, seq, sz);
		const int c = chains.size();
		chains.push_back(Chain((int)seq.size()));
		//chains.push_back(Chain());
		chains[c].depth = depth;
		chains[c].parent = { pnumber,pindex };
		rep(i, seq.size()) {
			mapto[seq[i]] = { c,i };
			chains[c].mapfrom.push_back(seq[i]);
		}
		mapfrom.push_back(chains[c].mapfrom);
		rep(i, seq.size()) {
			for (edge e : baseG[seq[i]]) {
				if (mapto[e.to].first != -1)continue;
				int nc = decomposition(e.to, seq[i], depth + 1, c, i, sz);
				chains[c].child.push_back({ nc,i });
			}
		}
		return c;
	}
	void bfs(int from, int parent, vector<int>& seq, const vector<int>& sz) {
		for (;;) {
			seq.push_back(from);
			int best = -1, next = -1;
			for (edge e : baseG[from]) {
				if (e.to == parent)continue;
				if (best < sz[e.to]) {
					best = sz[e.to]; next = e.to;
				}
			}
			if (next == -1)break;
			parent = from; from = next;
		}
	}
	vector<pair<int, P>> all_vertice(int u, int v) {
		vector<pair<int, P>> res;
		if (depth(u) > depth(v))swap(u, v);
		while (depth(v) > depth(u)) {
			res.push_back({ mapto[v].first,{ 0,mapto[v].second + 1 } });
			P par = chains[mapto[v].first].parent;
			v = mapfrom[par.first][par.second];
		}
		while (mapto[v].first != mapto[u].first) {
			res.push_back({ mapto[v].first,{ 0,mapto[v].second + 1 } });
			P par = chains[mapto[v].first].parent;
			v = mapfrom[par.first][par.second];
			res.push_back({ mapto[u].first,{ 0,mapto[u].second + 1 } });
			par = chains[mapto[u].first].parent;
			u = mapfrom[par.first][par.second];
		}
		P p = minmax(mapto[v].second, mapto[u].second);
		res.push_back({ mapto[v].first,{ p.first,p.second + 1 } });
		return res;
	}

public:

	void vertice_add(int u, int v, ll a) {
		vector<pair<int, P>> vs = all_vertice(u, v);
		rep(i, vs.size()) {
			int id = vs[i].first;
			int l = vs[i].second.first; int r = vs[i].second.second;
			chains[id].stree.add(a, l, r);
		}
	}
	void all_clean() {
		rep(i, chains.size()) {
			chains[i].stree.all_clean();
		}
	}
	int query(int v,ll x) {
		int id = mapto[v].first, loc = mapto[v].second;
		return chains[id].stree.query(loc, x);
	}
};

int par[1 << 16][16];
int depth[1 << 16];
ll parcost[1 << 16];
const int b = 600;

struct edge2 {
	int to;ll cost;
};
vector<edge2> G[50000];

void dfs(int id, int fr) {
	par[id][0] = fr;
	for (edge2 e : G[id])if (e.to != fr) {
		parcost[e.to] = parcost[id] + e.cost;
		depth[e.to] = depth[id] + 1;
		dfs(e.to, id);
	}
}
bool is_in(int a, int p, int v) {
	if (depth[a] < depth[p] || depth[v] < depth[a])return false;
	int d = depth[v] - depth[a];
	rep(j, 16)if (d & (1 << j)) {
		v = par[v][j];
	}
	return a == v;
}
void solve() {
	int n, q; cin >> n >> q;
	Graph g(n);
	rep(i, n - 1) {
		int a, b; ll c; cin >> a >> b >> c; a--; b--;
		G[a].push_back({ b,c });
		G[b].push_back({ a,c });
		g[a].push_back({ b });
		g[b].push_back({ a });
	}
	HLDecomposition hld(g);
	dfs(0, -1);
	rep(j, 15)rep(i, n) {
		if (par[i][j] < 0)par[i][j + 1] = -1;
		else {
			par[i][j + 1] = par[par[i][j]][j];
		}
	}
	vector<int> typ(q), v(q);
	vector<ll> t(q), l(q);
	rep(i, q) {
		cin >> typ[i] >> v[i] >> t[i] >> l[i];
		v[i]--;
		t[i] += parcost[v[i]];
	}
	vector<int> ans(q);
	int d = (q + b - 1) / b;
	vector<int> memo(q);
	rep(i, d) {
		int le = b * i;
		int ri = min(q, b * (i + 1));
		Rep(j, le, ri) {
			if (typ[j] == 0) {
				int cur = v[j];
				ll rest = l[j];
				per(j, 16) {
					int p = par[cur][j];
					if (p >= 0 && parcost[cur] - parcost[p] <= rest) {
						rest -= parcost[cur] - parcost[p];
						cur = p;
					}
				}
				memo[j] = cur;
				hld.vertice_add(v[j], cur, t[j]);
			}
			else {
				ans[j] = hld.query(v[j], t[j]);
				for (int k = le; k < j; k++)if (typ[k] == 0) {
					if (is_in(v[j], memo[k], v[k])) {
						//cout << "hi! " << j << " " << k << "\n";
						if (t[j] >= t[k])ans[j]++;
					}
				}
			}
		}
		hld.all_clean();
	}
	rep(i, q)if (typ[i] == 1)cout << ans[i] << "\n";
}

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