結果

問題 No.235 めぐるはめぐる (5)
ユーザー hiikunZ
提出日時 2024-03-20 21:55:04
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 6,406 ms / 10,000 ms
コード長 6,008 bytes
コンパイル時間 2,901 ms
コンパイル使用メモリ 226,668 KB
最終ジャッジ日時 2025-02-20 09:04:03
ジャッジサーバーID
(参考情報)
judge2 / judge1
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ファイルパターン 結果
other AC * 3
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 #
プレゼンテーションモードにする

// #pragma GCC target("avx2")
#pragma GCC optimize("Ofast,unroll-loops")
#include<bits/stdc++.h>
using namespace std;
using ll = long long int;
const ll MOD = 1000000007;
ll N;
vector<ll> S(200000),C(200000),seen(200000,0),siz(200000,0),par(200000,-1),root(200000,-1),id(200000,-1),dep(200000,0);
vector<vector<ll>> GG(200000),G(200000);
void dfs1(ll x){
seen[x] = 1;
siz[x] = 1;
for(ll i = 0;i < (ll)GG[x].size();i++){
ll y = GG[x][i];
if(seen[y] == 1) continue;
dep[y] = dep[x] + 1;
G[x].emplace_back(y);
dfs1(y);
siz[x] += siz[y];
}
}
ll I = 0;
void dfs2(ll x){
id[x] = I;
I++;
for(ll i = 1;i < (ll)G[x].size();i++){
if(siz[G[x][i]] > siz[G[x][0]]){
swap(G[x][i],G[x][0]);
}
}
for(ll i = 0;i < (ll)G[x].size();i++){
ll y = G[x][i];
if(i == 0) root[y] = root[x];
else root[y] = y;
par[y] = x;
dfs2(y);
}
}
vector<ll> O(300000,0),O_R(300000,0),A(800000,0),E(800000,0),R_L(800000),R_R(800000); // A
void eval(ll x){
ll s = (O_R[R_R[x]] - O_R[R_L[x]]) % MOD;
A[x] += (s * E[x]) % MOD;
A[x] %= MOD;
if(x < N){
E[x * 2] += E[x];
E[x * 2] %= MOD;
E[x * 2 + 1] += E[x];
E[x * 2 + 1] %= MOD;
}
E[x] = 0;
}
void ue_update(ll x){
ll X = 0;
while((x >> X) > 0) X++;
while(X > 0){
X--;
eval(x >> X);
}
}
void reeval(ll x){
while(x > 0){
eval(x);
if(x < N){
eval(x * 2);
eval(x * 2 + 1);
A[x] = (A[x * 2] + A[x * 2 + 1]) % MOD;
}
x /= 2;
}
}
void add(ll l,ll r,ll x){
if(l >= r) return;
x %= MOD;
if(x < 0) x += MOD;
//cerr << "add("<<l<<","<<r<<","<<x<<")"<<endl;
l += N;
r += N;
ll Llog = l,Rlog = r;
ue_update(l);
ue_update(r - 1);
while(l < r){
if(l & 1){
eval(l);
E[l] += x;
E[l] %= MOD;
eval(l);
l++;
}
if(r & 1){
r--;
eval(r);
E[r] += x;
E[r] %= MOD;
eval(r);
}
l /= 2;
r /= 2;
}
reeval(Llog);
reeval(Rlog- 1);
}
ll query(ll l,ll r){
if(l >= r) return 0;
//cerr<<"query("<<l<<","<<r<<")";
l += N;
r += N;
ll ans = 0;
ue_update(l);
ue_update(r - 1);
while(l < r){
if(l & 1){
eval(l);
ans += A[l];
ans %= MOD;
l++;
}
if(r & 1){
r--;
eval(r);
ans += A[r];
ans %= MOD;
}
l /= 2;
r /= 2;
}
//cerr << " = " << ans << endl;
return ans;
}
vector<vector<ll>> D(30,vector<ll>(200000,0));
ll lca(ll x,ll y){
if(dep[x] < dep[y]) swap(x,y);
for(ll i = 28;i >= 0;i--){
ll xx = D[i][x];
if(dep[xx] >= dep[y]) x = xx;
}
if(x == y) return x;
for(ll i = 28;i >= 0;i--){
ll xx = D[i][x],yy = D[i][y];
if(xx != yy){
x = xx;
y = yy;
}
}
return D[0][x];
}
int main(){
cin >> N;
for(ll i = 0;i < N;i++) cin >> S[i];
for(ll j = 0;j < N;j++) cin >> C[j];
for(ll i = 0;i < N - 1;i++){
ll a,b;
cin >> a >> b;
a--;b--;
GG[a].emplace_back(b);
GG[b].emplace_back(a);
}
dfs1(0);
root[0] = 0;
dfs2(0);
for(ll i = 1;i < N;i++){
D[0][i] = par[i];
}
for(ll i = 0;i < 29;i++){
for(ll j = 0;j < N;j++){
D[i + 1][j] = D[i][D[i][j]];
}
}
for(ll i = 0;i < N;i++){
//cerr<<id[i]<<endl;
O[id[i]] = C[i];
A[N + id[i]] = S[i];
R_L[N + i] = i;
R_R[N + i] = i + 1;
}
for(ll i = 0;i < N;i++){
O_R[i + 1] = O_R[i] + O[i];
O_R[i + 1] %= MOD;
}
for(ll i = N - 1;i > 0;i--){
A[i] = A[i * 2] + A[i * 2 + 1];
A[i] %= MOD;
R_L[i] = R_L[i * 2];
R_R[i] = R_R[i * 2 + 1];
}
ll Q;
cin >> Q;
for(ll q = 0;q < Q;q++){
ll t;
cin >> t;
if(t == 0){
ll x,y,z;
cin >> x >> y >> z;
x--;
y--;
ll a = lca(x,y);
while(root[x] != root[a]){
ll id_r = id[root[x]],id_x = id[x];
add(id_r,id_x + 1,z);
x = par[root[x]];
}
{
ll id_a = id[a],id_x = id[x];
add(id_a,id_x + 1,z);
}
while(root[y] != root[a]){
ll id_r = id[root[y]],id_y = id[y];
add(id_r,id_y + 1,z);
y = par[root[y]];
}
{
ll id_a = id[a],id_y = id[y];
add(id_a,id_y + 1,z);
}
ll id_a = id[a];
add(id_a,id_a + 1,-z);
}
else{
ll x,y;
cin >> x >> y;
x--;
y--;
ll a = lca(x,y);
ll ans = 0;
while(root[x] != root[a]){
ll id_r = id[root[x]],id_x = id[x];
ans += query(id_r,id_x + 1);
ans %= MOD;
x = par[root[x]];
}
{
ll id_a = id[a],id_x = id[x];
ans += query(id_a,id_x + 1);
ans %= MOD;
}
while(root[y] != root[a]){
ll id_r = id[root[y]],id_y = id[y];
ans += query(id_r,id_y + 1);
ans %= MOD;
y = par[root[y]];
}
{
ll id_a = id[a],id_y = id[y];
ans += query(id_a,id_y + 1);
ans %= MOD;
}
ll id_a = id[a];
ans -= query(id_a,id_a + 1);
ans %= MOD;
if(ans < 0) ans += MOD;
cout << ans << endl;
}
}
}
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