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답안 #558592

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
558592 2022-05-07T15:11:43 Z DanShaders Sprinkler (JOI22_sprinkler) C++17
3 / 100
 4000 ms 640700 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;

namespace x = __gnu_pbds;
template <typename T>
using ordered_set = x::tree<T, x::null_type, less<T>, x::rb_tree_tag, x::tree_order_statistics_node_update>;

template <typename T>
using normal_queue = priority_queue<T, vector<T>, greater<>>;

#define all(x) begin(x), end(x)
#define sz(x) ((int) (x).size())
#define x first
#define y second
using ll = long long;
using ld = long double;

const int N = 2e5 + 10, EULER = 2 * N, LOG = 19;
const int BUFF = 4096;

char buff[BUFF + 1];
int buff_it = 0, buff_len = 0;

char wbuff[BUFF];
int wbuff_len = 0;

char read_char() {
	if (buff_it == buff_len) {
		buff_len = (int) fread(buff, 1, BUFF, stdin);
		buff[buff_len] = 0;
		buff_it = 0;
	}
	return buff[buff_it++];
}

int read_int() {
	char c = ' ';
	while (!isdigit(c = read_char()));
	int res = 0;
	do {
		res *= 10;
		res += c - '0';
	} while (isdigit(c = read_char()));
	return res;
}

void wflush() {
	fwrite(wbuff, 1, wbuff_len, stdout);
	wbuff_len = 0;
}

void write_char(char c) {
	if (wbuff_len == BUFF) {
		wflush();
	}
	wbuff[wbuff_len++] = c;
}

void write_int(ll x) {
	static char cbuff[20];
	int i = 0;
	if (!x) {
		write_char('0');
		return;
	}
	for (; x; x /= 10) {
		cbuff[i++] = char(x % 10 + '0');
	}
	for (; i--; ) {
		write_char(cbuff[i]);
	}
}

vector<int> g[N];
int h[N], sz[N];
char used[N];

const int INT_MEM = 7600380;

struct Arr {
	int a[9] __attribute__((aligned(32)));
	ll i;
} int_mem[INT_MEM];

struct CentroidNode {
	int parent, depth, sz;
	vector<int> ob, pb;
	Arr *op, *pp;
} tc[N];

int next_free = 0;

Arr *allocate(int x) {
	Arr *res = int_mem + next_free;
	next_free += x;
	assert(next_free < INT_MEM);
	return res;
}

int where[LOG][N], where2[LOG][N];

int dfs_sz(int u, int p = -1) {
	if (used[u]) {
		return 0;
	}
	sz[u] = 1;
	for (int v : g[u]) {
		if (v == p) {
			continue;
		}
		sz[u] += dfs_sz(v, u);
	}
	return sz[u];
}

int dfs_find_centroid(int u, int csz, int p = -1) {
	for (int v : g[u]) {
		if (v != p && !used[v] && 2 * sz[v] >= csz) {
			return dfs_find_centroid(v, csz, u);
		}
	}
	return u;
}

int croot;

queue<tuple<int, int, int>> bfs;

void dfs_centroid(int root, int parent = -1, int depth = 0) {
	int centroid = dfs_find_centroid(root, dfs_sz(root));
	auto &node = tc[centroid];
	node.parent = parent;
	node.depth = depth;
	node.sz = sz[root];
	if (parent == -1) {
		croot = centroid;
	}

	bfs.push({1, root, -1});
	int prev = -1, at = 0;
	node.pb.push_back(0);
	while (sz(bfs)) {
		auto [d, u, p] = bfs.front();
		bfs.pop();
		where2[depth][u] = at;
		if (prev != d) {
			node.pb.push_back(at);
			prev = d;
		}
		++at;
		for (int v : g[u]) {
			if (!used[v] && v != p) {
				bfs.push({d + 1, v, u});
			}
		}
	}

	bfs.push({0, centroid, -1});
	prev = -1, at = 0;
	while (sz(bfs)) {
		auto [d, u, p] = bfs.front();
		bfs.pop();
		where[depth][u] = at;
		if (prev != d) {
			node.ob.push_back(at);
			prev = d;
		}
		++at;
		for (int v : g[u]) {
			if (!used[v] && v != p) {
				bfs.push({d + 1, v, u});
			}
		}
	}
	
	node.op = allocate(node.sz);
	node.pp = allocate(node.sz);

	used[centroid] = 1;
	for (int v : g[centroid]) {
		if (!used[v]) {
			dfs_centroid(v, centroid, depth + 1);
		}
	}
}

int ipow[EULER], depth[N];
pair<int, int> sp[LOG][EULER];
int order[N], timer = 0;

void dfs_euler(int u, int d = 0, int p = -1) {
	order[u] = timer;
	depth[u] = d;
	sp[0][timer++] = {d, u};
	for (int v : g[u]) {
		if (v != p) {
			dfs_euler(v, d + 1, u);
			sp[0][timer++] = {d, u};
		}
	}
}

int lca(int u, int v) {
	if (u == v) {
		return u;
	}
	u = order[u];
	v = order[v];
	if (u > v) {
		swap(u, v);
	}
	++v;
	int pw = ipow[v - u];
	return min(sp[pw][u], sp[pw][v - (1 << pw)]).y;
}

int dist(int u, int v) {
	return depth[u] + depth[v] - 2 * depth[lca(u, v)];
}

vector<pair<int, int>> factor(int x) {
	vector<pair<int, int>> res;
	for (int i = 2; i * i <= x; ++i) {
		if (x % i == 0) {
			res.push_back({i, 0});
			while (x % i == 0) {
				++res.back().y;
				x /= i;
			}
		}
	}
	if (x != 1) {
		res.push_back({x, 1});
	}
	return res;
}

pair<vector<int>, int> get_pw(int x, const vector<pair<int, int>> &fact) {
	vector<int> pw;
	for (auto [prime, _] : fact) {
		pw.push_back(0);
		while (x % prime == 0) {
			x /= prime;
			++pw.back();
		}
	}
	return {pw, x};
}

void exgcd(int a, int b, ll &x, ll &y) {
	if (b == 0) {
		x = 1;
		y = 0;
		return;
	}
	exgcd(b, a % b, x, y);
	ll nw = x - (a / b) * y;
	x = y;
	y = nw;
}

int diff;
ll l;

template <typename T>
void tdo(int, int r, int, T func) {
	for (; r >= 0; r &= r + 1, --r) {
		func(r);
	}
}

int part[12] __attribute__((aligned(32)));

void apply_for(int ineq, int inv, int u, int x, int d) {
	auto &node = tc[u];

	int dst = d - dist(u, x);
	int bound = dst < 0 ? 0 : (dst + 1 >= sz(node.ob) ? node.sz : node.ob[dst + 1]);

	if (ineq != 1) {
		tdo(0, bound - 1, node.sz, [&](int j) {
#pragma GCC ivdep
			for (int i = 0; i < 9; ++i) {
				node.op[j].a[i] += part[i];
			}
			(node.op[j].i *= ineq) %= l;
		});
	} else {
		tdo(0, bound - 1, node.sz, [&](int j) {
#pragma GCC ivdep
			for (int i = 0; i < 9; ++i) {
				node.op[j].a[i] += part[i];
			}
		});
	}

	if (node.parent == -1) {
		return;
	}

	dst = d - dist(node.parent, x);
	bound = dst < 0 ? 0 : (dst + 1 >= sz(node.pb) ? node.sz : node.pb[dst + 1]);
	if (inv != 1) {
		tdo(0, bound - 1, node.sz, [&](int j) {
#pragma GCC ivdep
			for (int i = 0; i < 9; ++i) {
				node.pp[j].a[i] -= part[i];
			}
			(node.pp[j].i *= inv) %= l;
		});
	} else {
		tdo(0, bound - 1, node.sz, [&](int j) {
#pragma GCC ivdep
			for (int i = 0; i < 9; ++i) {
				node.pp[j].a[i] -= part[i];
			}
		});
	}
}

void count_for(ll &ineq, int u, int x) {
	const auto &node = tc[u];

	int i = where[node.depth][x];
	for (; i < node.sz; i |= i + 1) {
#pragma GCC ivdep
		for (int j = 0; j < 9; ++j) {
			part[j] += node.op[i].a[j];
		}
		(ineq *= node.op[i].i) %= l;
	}

	if (node.parent == -1) {
		return;
	}

	i = where2[node.depth][x];
	for (; i < node.sz; i |= i + 1) {
#pragma GCC ivdep
		for (int j = 0; j < 9; ++j) {
			part[j] += node.pp[i].a[j];
		}
		(ineq *= node.pp[i].i) %= l;
	}
}

ll fpow(ll a, ll b) {
	ll c = 1;
	for (int i = 1; i <= b; i *= 2) {
		if (b & i) {
			(c *= a) %= l;
		}
		(a *= a) %= l;
	}
	return c;
}

signed main() {
#ifdef DEBUG
	freopen("output.txt", "w", stdout);
#endif
	int n = read_int();
	l = read_int();
	for (int i = 0; i < INT_MEM; ++i) {
		int_mem[i].i = 1;
	}
	for (int i = 1; i < n; ++i) {
		int u = read_int(), v = read_int();
		g[--u].push_back(--v);
		g[v].push_back(u);
	}
	for (int i = 0; i < n; ++i) {
		h[i] = read_int();
	}
	dfs_euler(0);
	for (int i = 1; i < LOG; ++i) {
		for (int j = 0; j <= timer - (1 << i); ++j) {
			sp[i][j] = min(sp[i - 1][j], sp[i - 1][j + (1 << (i - 1))]);
		}
	}
	for (int i = 2; i <= timer; ++i) {
		ipow[i] = ipow[i / 2] + 1;
	}
	dfs_centroid(0);
	int queries = read_int();
	auto fact = factor(int(l));
	diff = sz(fact);

	while (queries--) {
		int type = read_int();
		if (type == 1) {
			int x = read_int(), d = read_int(), w = read_int();
			--x;
			if (!w) {
				w = int(l);
			}
			auto [partr, ineq] = get_pw(w, fact);
			fill(all(part), 0);
			copy_n(begin(partr), sz(partr), begin(part));
			ll inv, tmp;
			exgcd(ineq, int(l), inv, tmp);
			inv = (inv % l + l) % l;

			int curr = x;
			while (curr != -1) {
				apply_for(ineq, int(inv), curr, x, d);
				curr = tc[curr].parent;
			}
		} else {
			int x = read_int() - 1;
			fill(all(part), 0);
			ll ineq = 1;
			int curr = x;
			while (curr != -1) {
				count_for(ineq, curr, x);
				curr = tc[curr].parent;
			}

			ll res = 1;
			for (int i = 0; i < diff; ++i) {
				(res *= fpow(fact[i].x, part[i])) %= l;
			}
			(res *= ineq) %= l;
			write_int((h[x] * res) % l);
			write_char('\n');
			// for (int u : part) {
			// 	cout << u << " ";
			// }
			// cout << ineq << "\n";
		}
	}
	wflush();
	cerr << clock() << endl;
}

Subtask #1
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 189 ms 496644 KB Output is correct
2 Correct 186 ms 496600 KB Output is correct
3 Correct 180 ms 496644 KB Output is correct
4 Correct 191 ms 497336 KB Output is correct
5 Correct 213 ms 497196 KB Output is correct
6 Correct 178 ms 497184 KB Output is correct
7 Correct 196 ms 497172 KB Output is correct
8 Correct 190 ms 496992 KB Output is correct
9 Correct 215 ms 496624 KB Output is correct
10 Correct 198 ms 496708 KB Output is correct
11 Correct 198 ms 496800 KB Output is correct
12 Correct 195 ms 496640 KB Output is correct
13 Correct 185 ms 496820 KB Output is correct
14 Correct 208 ms 496672 KB Output is correct
15 Correct 192 ms 496680 KB Output is correct
16 Correct 198 ms 496652 KB Output is correct
17 Correct 195 ms 496716 KB Output is correct
18 Correct 195 ms 496724 KB Output is correct
19 Correct 181 ms 496652 KB Output is correct
20 Correct 191 ms 496636 KB Output is correct
21 Correct 223 ms 496716 KB Output is correct
22 Correct 204 ms 496632 KB Output is correct
23 Correct 196 ms 496724 KB Output is correct
24 Correct 200 ms 496628 KB Output is correct
25 Correct 189 ms 496588 KB Output is correct
26 Correct 194 ms 496664 KB Output is correct
27 Correct 193 ms 496628 KB Output is correct
28 Correct 207 ms 496820 KB Output is correct

Subtask #2
0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 211 ms 496772 KB Output is correct
2 Execution timed out 4069 ms 607928 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #3
0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 211 ms 496772 KB Output is correct
2 Execution timed out 4069 ms 607928 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 182 ms 496604 KB Output is correct
2 Execution timed out 4067 ms 640700 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 206 ms 496680 KB Output is correct
2 Execution timed out 4064 ms 637940 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 189 ms 496644 KB Output is correct
2 Correct 186 ms 496600 KB Output is correct
3 Correct 180 ms 496644 KB Output is correct
4 Correct 191 ms 497336 KB Output is correct
5 Correct 213 ms 497196 KB Output is correct
6 Correct 178 ms 497184 KB Output is correct
7 Correct 196 ms 497172 KB Output is correct
8 Correct 190 ms 496992 KB Output is correct
9 Correct 215 ms 496624 KB Output is correct
10 Correct 198 ms 496708 KB Output is correct
11 Correct 198 ms 496800 KB Output is correct
12 Correct 195 ms 496640 KB Output is correct
13 Correct 185 ms 496820 KB Output is correct
14 Correct 208 ms 496672 KB Output is correct
15 Correct 192 ms 496680 KB Output is correct
16 Correct 198 ms 496652 KB Output is correct
17 Correct 195 ms 496716 KB Output is correct
18 Correct 195 ms 496724 KB Output is correct
19 Correct 181 ms 496652 KB Output is correct
20 Correct 191 ms 496636 KB Output is correct
21 Correct 223 ms 496716 KB Output is correct
22 Correct 204 ms 496632 KB Output is correct
23 Correct 196 ms 496724 KB Output is correct
24 Correct 200 ms 496628 KB Output is correct
25 Correct 189 ms 496588 KB Output is correct
26 Correct 194 ms 496664 KB Output is correct
27 Correct 193 ms 496628 KB Output is correct
28 Correct 207 ms 496820 KB Output is correct
29 Correct 211 ms 496772 KB Output is correct
30 Execution timed out 4069 ms 607928 KB Time limit exceeded
31 Halted 0 ms 0 KB -