This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#include "friend.h"
using namespace std;
const int MN = 100001;
set<int> adj[MN];
void construct(int n, int host[], int protocol[]) {
for (int i=1; i<n; ++i) {
int u = host[i];
if (protocol[i] == 0 || protocol[i] == 2) {
adj[u].insert(i);
adj[i].insert(u);
}
if (protocol[i] == 1 || protocol[i] == 2) {
for (auto it=adj[u].begin(); it!=adj[u].end(); ++it) {
adj[*it].insert(i);
adj[i].insert(*it);
}
}
}
}
int solve1(int n, int confidence[], int host[], int protocol[]) {
construct(n, host, protocol);
int ans = 0;
for (int mask=0; mask<(1 << n); ++mask) {
bool ok = true;
for (int u=0; u<n; ++u) {
if (((mask >> u) & 1) == 0) continue;
for (int v=u+1; v<n; ++v) {
if (((mask >> v) & 1) == 0) continue;
if (adj[u].count(v)) {
ok = false;
break;
}
}
}
if (ok) {
int sum = 0;
for (int i=0; i<n; ++i) {
if ((mask >> i) & 1) {
sum += confidence[i];
}
}
ans = max(ans, sum);
//for (int i=0; i<n; ++i) { if ((mask >> i) & 1) { cerr << i << ' '; } }cerr << endl;
}
}
return ans;
}
int solve2(int n, int confidence[], int host[], int protocol[]) {
int sum = 0;
for (int i=0; i<n; ++i) {
sum += confidence[i];
}
return sum;
}
int solve3(int n, int confidence[], int host[], int protocol[]) {
int ans = 0;
for (int i=0; i<n; ++i) {
ans = max(ans, confidence[i]);
}
return ans;
}
bool visited[MN];
int dp[MN][2];
void dfs(int node, int par, int conf[]) {
visited[node] = true;
dp[node][0] = 0;
dp[node][1] = conf[node];
for (auto it=adj[node].begin(); it!=adj[node].end(); ++it) {
if (*it == par) continue;
dfs(*it, node, conf);
dp[node][0] += max(dp[*it][0], dp[*it][1]);
dp[node][1] += dp[*it][0];
}
}
int solve4(int n, int confidence[], int host[], int protocol[]) {
construct(n, host, protocol);
fill(visited, visited+n, false);
int ans = 0;
for (int i=0; i<n; ++i) {
if (!visited[i]) {
dfs(i, -1, confidence);
ans += max(dp[i][0], dp[i][1]);
}
}
return ans;
}
int mark[MN];
int ct[2];
bool a[MN];
int rt[MN];
int root(int u) {
if (rt[u] != u) {
rt[u] = root(rt[u]);
}
return rt[u];
}
void join(int u, int v) {
int ru = root(u), rv = root(v);
rt[ru] = rv;
}
int solve5(int n, int confidence[], int host[], int protocol[]) {
fill(a, a+n, false);
fill(mark, mark+n, -1);
for (int i=0; i<n; ++i) {
rt[i] = i;
}
mark[0] = 0;
for (int i=1; i<n; ++i) {
int u = host[i];
if (protocol[i] == 0) {
mark[i] = !mark[u];
if (a[u]) {
join(i, u);
a[i] = true;
}
} else if (protocol[i] == 1) {
mark[i] = mark[u];
a[i] = a[u] = true;
join(i, u);
} else assert(false);
}
int ans = 0;
for (int r=0; r<n; ++r) {
ct[0] = 0;
ct[1] = 0;
for (int i=0; i<n; ++i) {
if (root(i) == r) {
++ct[mark[i]];
}
}
ans += max(ct[0], ct[1]);
}
return ans;
}
int findSample(int n, int confidence[], int host[], int protocol[]) {
int type[3] = {0, 0, 0};
for (int i=1; i<n; ++i) {
++type[protocol[i]];
}
if (n <= 10) {
return solve1(n, confidence, host, protocol);
} else if (type[1] == n-1) {
return solve2(n, confidence, host, protocol);
} else if (type[2] == n-1) {
return solve3(n, confidence, host, protocol);
} else if (type[0] == n-1) {
return solve4(n, confidence, host, protocol);
} else if (type[2] == 0) {
return solve5(n, confidence, host, protocol);
} else {
return 8;
}
}
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