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>
#define For(i, a, b) for (int i=a;i<=b;++i)
using namespace std;
const int N = 200005;
const long long base = 35711;
const long long mod = 1e9 + 7;
int n, Len, maxDep, child[N], valid[N];
char a[N];
vector<pair<int, long long>> b;
long long pw[N];
vector<int> adj[N];
unordered_map<long long, bool> f[N];
void countChild(int u, int p)
{
child[u] = 1;
for (int v : adj[u]) if (v != p && valid[v])
{
countChild(v, u);
child[u] += child[v];
}
}
bool dfs(int u, int p, int h, long long hshdown, long long hshup)
{
if (h > Len) return false;
if (p)
hshdown = (hshdown * base + a[u]) % mod;
hshup = (hshup + 1LL * a[u] * pw[h - 1]) % mod;
long long x = (hshup * pw[Len - h] - hshdown + mod) % mod;
if (!p) f[h][x] = true;
if (f[Len - h + 1].find(x) != f[Len - h + 1].end() )
return true;
for (int v : adj[u]) if (v != p && valid[v])
{
if (!p) b.clear();
if (dfs(v, u, h + 1, hshdown, hshup))
return true;
if (!p)
for (pair<int, long long> x : b) f[x.first][x.second] = true;
}
maxDep = max(maxDep, h);
b.push_back({h, x});
return false;
}
bool CD(int u, int n)
{
countChild(u, 0);
int flag = 1, half = n / 2;
while (flag)
{
flag = 0;
for (int v : adj[u])
if (valid[v] && child[v] < child[u] && child[v] > half)
{
u = v;
flag = 1;
break;
}
}
countChild(u, 0);
if (dfs(u, 0, 1, 0, 0)) return true;
For(i, 1, maxDep) f[i].clear();
maxDep = 0;
valid[u] = false;
for (int v : adj[u]) if (valid[v])
if (CD(v, child[v])) return true;
return false;
}
bool check(int len)
{
Len = len;
For(i, 1, n) valid[i] = 1, f[i].clear();
return CD(1, n);
}
void solve()
{
cin >> n;
For(i, 1, n) cin >> a[i];
For(i, 1, n - 1)
{
int u, v; cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
pw[0] = 1;
For(i, 1, n) pw[i] = pw[i - 1] * base % mod;
int l = 0, r = (n - 1) / 2;
while (l < r)
{
int g = (l + r + 1) / 2;
if (check(g * 2 + 1)) l = g; else r = g - 1;
}
int ans = r * 2 + 1;
l = 0, r = n / 2;
while (l < r)
{
int g = (l + r + 1) / 2;
if (check(g * 2)) l = g; else r = g - 1;
}
cout << max(ans, r * 2);
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
solve();
return 0;
}
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