This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// author : thembululquaUwU
// 3.9.2024
#include <bits/stdc++.h>
#define pb push_back
#define fi first
#define se second
#define endl '\n'
using namespace std;
using ll = long long;
using ii = pair <int, int>;
using vi = vector <int>;
const int MaxN = 2e5 + 5;
const int mod = 1e9 + 7;
void maxl(auto &a, auto b) {a = max(a, b);}
void minl(auto &a, auto b) {a = min(a, b);}
int par[MaxN], sz[MaxN];
vi badj[MaxN], f;
int dfs(int u, int p = -1){
sz[u] = 1;
for (int v : badj[u]) if (v != p && par[v] < -1) sz[u] += dfs(v, u);
return sz[u];
}
int get_cen(int u, int m, int p = -1){
for (int v : badj[u]) if (v != p && par[v] < -1 && sz[v] * 2 > m) return get_cen(v, m, u);
return u;
}
int root;
void cen(int u = 0, int p = -1){
u = get_cen(u, dfs(u)); par[u] = p; if (p == -1) root = u;
for (int v : badj[u]) if (par[v] < -1) cen(v, u);
}
ll cnt[MaxN][8]; int sign[MaxN][8];
vi up = {1, 2, 4, 3, 6, 7};
vector <ii> pairs2 = {{2, 4}, {2, 1}};
vector <ii> pairs3 = {{1, 6}, {6, 1}, {3, 4}, {4, 3}};
void rsz(int u, int child){
if (u == -1) return;
rsz(par[u], u);
for (int t : up) cnt[u][t] -= cnt[child][t];
ll sub = cnt[u][1] * cnt[child][4] + cnt[u][4] * cnt[child][1];
cnt[u][5] -= sub; //if (f[u] == 2) cnt[u][7] -= sub;
for (auto [l, r] : pairs2) if (l == f[u]) cnt[u][l | r] -= cnt[child][r] * cnt[u][l];
for (auto [l, r] : pairs3) cnt[u][l | r] -= cnt[u][l] * cnt[child][r];
}
void rks(int u, int child){
if (u == -1) return;
//if (child == 2) cout << cnt[child][1] << ' ' << cnt[u][6] << endl;
for (auto [l, r] : pairs3) cnt[u][l | r] += cnt[u][l] * cnt[child][r];
for (auto [l, r] : pairs2) if (l == f[u]) cnt[u][l | r] += cnt[child][r] * cnt[u][l];
ll sub = cnt[u][1] * cnt[child][4] + cnt[u][4] * cnt[child][1];
cnt[u][5] += sub; //if (f[u] == 2) cnt[u][7] += sub;
for (int t : up) cnt[u][t] += cnt[child][t];
rks(par[u], u);
}
void add(int u, int t, int val){
rsz(par[u], u);
if (val < 0){
cnt[u][t] --;
ll sub = 0;
if (t == 1) sub = cnt[u][4];
if (t == 4) sub = cnt[u][1];
cnt[u][5] -= sub;
if (t == 2) cnt[u][7] -= cnt[u][5];
for (auto [l, r] : pairs2) if (l == f[u]) cnt[u][l | r] -= cnt[u][r];
for (auto [l, r] : pairs3) if (l == f[u]) cnt[u][l | r] -= cnt[u][r];
}
else {
for (auto [l, r] : pairs2) if (l == f[u]) cnt[u][l | r] += cnt[u][r];
for (auto [l, r] : pairs3) if (l == f[u]) cnt[u][l | r] += cnt[u][r];
ll sub = 0;
if (t == 1) sub = cnt[u][4];
if (t == 4) sub = cnt[u][1];
cnt[u][5] += sub;
if (t == 2) cnt[u][7] += cnt[u][5];
cnt[u][t] ++;
}
rks(par[u], u);
}
void init(int N, vi F, vi U, vi V, int Q){
for (int i = 0; i < N - 1; ++ i){
int u = U[i], v = V[i];
badj[u].pb(v); badj[v].pb(u);
}
for (int i = 0; i < N; ++ i) par[i] = -2; cen();
//for (int i = 0; i < N; ++ i) cout << i << ' ' << par[i] << endl;
f.resize(N, 0);
for (int i = 0; i < N; ++ i) {
f[i] = (1 << F[i]);
add(i, f[i], 1);
}
//f[0] = (1 << F[0]); add(0, f[0], 1);
//f[5] = (1 << F[5]); add(5, f[5], 1);
//f[0] = (1 << F[0]); add(0, f[0], 1);
//f[2] = (1 << F[2]); add(2, f[2], 1);
//f[1] = (1 << F[1]); add(1, f[1], 1);
//cout << root << endl;
//for (int i = 0; i < N; ++ i){
//for (int j = 0; j < 8; ++ j) cout << cnt[i][j] << ' ';
//cout << endl;
//}
}
void change(int u, int t){
add(u, f[u], -1); t = 1 << t;
f[u] = t; add(u, f[u], 1);
}
ll num_tours(){ return cnt[root][7];}
Compilation message (stderr)
joitour.cpp:18:11: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
18 | void maxl(auto &a, auto b) {a = max(a, b);}
| ^~~~
joitour.cpp:18:20: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
18 | void maxl(auto &a, auto b) {a = max(a, b);}
| ^~~~
joitour.cpp:19:11: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
19 | void minl(auto &a, auto b) {a = min(a, b);}
| ^~~~
joitour.cpp:19:20: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
19 | void minl(auto &a, auto b) {a = min(a, b);}
| ^~~~
joitour.cpp: In function 'void init(int, vi, vi, vi, int)':
joitour.cpp:98:5: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
98 | for (int i = 0; i < N; ++ i) par[i] = -2; cen();
| ^~~
joitour.cpp:98:47: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
98 | for (int i = 0; i < N; ++ i) par[i] = -2; cen();
| ^~~
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