結果
| 問題 | No.235 めぐるはめぐる (5) |
| ユーザー |
 outline
|
| 提出日時 | 2022-11-08 12:18:29 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 1,188 ms / 10,000 ms |
| コード長 | 9,350 bytes |
| コンパイル時間 | 2,342 ms |
| コンパイル使用メモリ | 166,392 KB |
| 実行使用メモリ | 27,364 KB |
| 最終ジャッジ日時 | 2024-07-21 21:03:18 |
| 合計ジャッジ時間 | 7,387 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge5 |
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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 | 1,188 ms
26,844 KB |
| testcase_01 | AC | 729 ms
27,364 KB |
| testcase_02 | AC | 1,055 ms
26,644 KB |
ソースコード
#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
#include <queue>
#include <string>
#include <map>
#include <set>
#include <stack>
#include <tuple>
#include <deque>
#include <array>
#include <numeric>
#include <bitset>
#include <iomanip>
#include <cassert>
#include <chrono>
#include <random>
#include <limits>
#include <iterator>
#include <functional>
#include <sstream>
#include <fstream>
#include <complex>
#include <cstring>
#include <unordered_map>
#include <unordered_set>
#include <memory>
using namespace std;
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
// #pragma GCC target("avx512f,avx512dq,avx512cd,avx512bw,avx512vl")
using ll = long long;
constexpr int INF = 1001001001;
constexpr int mod = 1000000007;
// constexpr int mod = 998244353;
template<class T>
inline bool chmax(T& x, T y){
if(x < y){
x = y;
return true;
}
return false;
}
template<class T>
inline bool chmin(T& x, T y){
if(x > y){
x = y;
return true;
}
return false;
}
constexpr int dx[] = {1, 0, -1, 0, 1, 1, -1, -1};
constexpr int dy[] = {0, 1, 0, -1, 1, -1, 1, -1};
struct mint {
int x;
mint() : x(0) {}
mint(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
mint& operator+=(const mint& p){
if((x += p.x) >= mod) x -= mod;
return *this;
}
mint& operator-=(const mint& p){
if((x -= p.x) < 0) x += mod;
return *this;
}
mint& operator*=(const mint& p){
x = (int)(1LL * x * p.x % mod);
return *this;
}
mint& operator/=(const mint& p){
*this *= p.inverse();
return *this;
}
mint operator-() const { return mint(-x); }
mint operator+(const mint& p) const { return mint(*this) += p; }
mint operator-(const mint& p) const { return mint(*this) -= p; }
mint operator*(const mint& p) const { return mint(*this) *= p; }
mint operator/(const mint& p) const { return mint(*this) /= p; }
bool operator==(const mint& p) const { return x == p.x; }
bool operator!=(const mint& p) const { return x != p.x; }
mint pow(int64_t n) const {
mint res = 1, mul = x;
while(n > 0){
if(n & 1) res *= mul;
mul *= mul;
n >>= 1;
}
return res;
}
// x^(a^b)
// warning : x と mod は互いに素
// x != 0 かつ x % mod == 0 かつ a > 0 はこれを呼び出さずに 0 を返すように処理
mint pow2(int64_t a, int64_t b) const {
if(b == 0) return *this;
if((a %= mod - 1) == 0) return mint(1);
int64_t n = 1;
while(b > 0){
if(b & 1) (n *= a) %= mod - 1;
(a *= a) %= mod - 1;
b >>= 1;
}
return pow(n);
}
mint inverse() const { return pow(mod - 2); }
friend ostream& operator<<(ostream& os, const mint& p){
return os << p.x;
}
friend istream& operator>>(istream& is, mint& p){
int64_t val;
is >> val;
p = mint(val);
return is;
}
};
struct HeavyLightDecomposition {
using Graph = vector<vector<int>>;
int V;
Graph& g;
vector<int> subtree_size, head, in, out, par, inverse;
HeavyLightDecomposition(Graph& g_) :
V(g_.size()), g(g_), subtree_size(V), head(V), in(V), out(V), par(V), inverse(V) {}
void calc_subtree_size(int cur, int p){
if(g[cur].size() && g[cur][0] == p){
swap(g[cur][0], g[cur].back());
}
subtree_size[cur] = 1;
par[cur] = p;
for(auto& child : g[cur]){
if(child == p) continue;
calc_subtree_size(child, cur);
subtree_size[cur] += subtree_size[child];
if(subtree_size[g[cur][0]] < subtree_size[child]){
swap(g[cur][0], child);
}
}
}
void dfs(int cur, int p, int& times){
in[cur] = times++;
inverse[in[cur]] = cur;
for(auto& child : g[cur]){
if(child == p) continue;
head[child] = (g[cur][0] == child ? head[cur] : child);
dfs(child, cur, times);
}
out[cur] = times;
}
void build(int root = 0){
calc_subtree_size(root, -1);
int t = 0;
dfs(root, -1, t);
}
int get(int v, int k){
for(;;){
int u = head[v];
if(in[v] - k >= in[u]){ // u, v in same group
return inverse[in[v] - k];
}
k -= in[v] - in[u] + 1;
v = par[u];
}
}
int lca(int u, int v){
for(;; v = par[head[v]]){
if(in[u] > in[v]) swap(u, v);
if(head[u] == head[v]) return u;
}
}
vector<pair<int, int>> get_sections(int u, int v, bool is_edge = false){
vector<pair<int, int>> res;
for(;; v = par[head[v]]){
if(in[u] > in[v]) swap(u, v);
if(head[u] == head[v]) break;
res.emplace_back(in[head[v]], in[v] + 1);
}
res.emplace_back(in[u] + is_edge, in[v] + 1);
return res;
}
int operator[](const int& v) const {
return in[v];
}
int edge(int u, int v){
return in[in[u] > in[v] ? u : v];
}
};
template<typename Monoid, typename OperatorMonoid = Monoid>
struct LazySegmentTree{
using F = function<Monoid(Monoid, Monoid)>;
using G = function<Monoid(Monoid, OperatorMonoid)>;
using H = function<OperatorMonoid(OperatorMonoid, OperatorMonoid)>;
int sz;
vector<Monoid> data;
vector<OperatorMonoid> lazy;
const F f;
const G g;
const H h;
const Monoid M1; // モノイドの単位元
const OperatorMonoid OM0; // 作用素モノイドの単位元
LazySegmentTree(int n, const F f, const G g, const H h, const Monoid &M1, const OperatorMonoid OM0)
: f(f), g(g), h(h), M1(M1), OM0(OM0)
{
sz = 1;
while(sz < n) sz <<= 1;
data.assign(sz << 1, M1);
lazy.assign(sz << 1, OM0);
}
void set(int k, const Monoid &x){
data[k + sz] = x;
}
void build(){
for(int k = sz - 1; k > 0; --k){
data[k] = f(data[k << 1], data[k << 1 | 1]);
}
}
void propagate(int k){
if(lazy[k] != OM0){
if(k < sz){
lazy[k << 1] = h(lazy[k << 1], lazy[k]);
lazy[k << 1 | 1] = h(lazy[k << 1 | 1], lazy[k]);
}
data[k] = g(data[k], lazy[k]);
lazy[k] = OM0;
}
}
Monoid update(int a, int b, const OperatorMonoid &x, int k = 1, int l = 0, int r = -1){
if(r == -1) r = sz;
propagate(k);
if(r <= a || b <= l) return data[k];
else if(a <= l && r <= b){
lazy[k] = h(lazy[k], x);
propagate(k);
return data[k];
}
else{
return data[k] = f(update(a, b, x, k << 1, l, (l + r) >> 1),
update(a, b, x, k << 1 | 1, (l + r) >> 1, r));
}
}
Monoid query(int a, int b, int k = 1, int l = 0, int r = -1){
if(r == -1) r = sz;
propagate(k);
if(r <= a || b <= l) return M1;
else if(a <= l && r <= b) return data[k];
else{
return f(query(a, b, k << 1, l, (l + r) >> 1),
query(a, b, k << 1 | 1, (l + r) >> 1, r));
}
}
Monoid operator[](const int &i){
int k = 1, l = 0, r = sz, m;
while(k < sz){
propagate(k);
k <<= 1;
m = (l + r) >> 1;
if(i + 1 <= m) r = m;
else { l = m; ++k; }
}
propagate(k);
return data[k];
}
};
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
int N, Q;
cin >> N;
vector<mint> S(N), C(N);
for(int i = 0; i < N; ++i) cin >> S[i];
for(int i = 0; i < N; ++i) cin >> C[i];
vector<vector<int>> g(N);
for(int i = 1; i < N; ++i){
int u, v;
cin >> u >> v;
--u, --v;
g[u].emplace_back(v);
g[v].emplace_back(u);
}
HeavyLightDecomposition hld(g);
hld.build();
using Node = pair<mint, mint>;
auto op = [&](Node l, Node r) -> Node {
return {l.first + r.first, l.second + r.second};
};
auto mapping = [&](Node x, mint f) -> Node {
return {x.first + x.second * f, x.second};
};
auto composition = [&](mint x, mint y) -> mint {
return x + y;
};
LazySegmentTree<Node, mint> seg(N, op, mapping, composition, {0, 0}, 0);
for(int i = 0; i < N; ++i){
seg.set(hld[i], {S[i], C[i]});
}
seg.build();
cin >> Q;
for(int q = 0; q < Q; ++q){
int t, x, y;
cin >> t >> x >> y;
--x, --y;
auto sections = hld.get_sections(x, y);
if(t == 0){
mint z; cin >> z;
for(auto& [l, r] : sections){
seg.update(l, r, z);
}
}
else{
mint ans = 0;
for(auto& [l, r] : sections){
ans += seg.query(l, r).first;
}
cout << ans << '\n';
}
}
return 0;
}