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>
using namespace std;
bool operator < (const pair<int, int>& x, const pair<int, int>& y) {
return 1LL * x.first * y.second < 1LL * x.second * y.first;
}
int main() {
int n; cin >> n;
vector<vector<int>> adj(n + 1, vector<int>());
for (int i = 1, a, b; i < n; i++) {
cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
vector<int> val(n + 1, 0);
vector<vector<int>> dp(n + 1, vector<int>()), dp_pref(n + 1, vector<int>()), dp_suf(n + 1, vector<int>());
vector<int> dp2(n + 1, 0);
for (int i = 1; i <= n; i++) cin >> val[i];
function<void(int, int)> dfs1 = [&](int u, int par) -> void {
if (u != 1 && adj[u].size() == 1) {
dp[u].emplace_back(0);
dp_pref[u].emplace_back(0);
dp_suf[u].emplace_back(0);
return;
}
for (int v: adj[u]) {
if (v == par) { dp[u].push_back(0); continue; }
dfs1(v, u);
if (val[v] != 1) dp[u].push_back(0);
else dp[u].push_back(dp_suf[v][1] + 1);
}
int k = adj[u].size();
dp_pref[u].assign(k + 2, 0);
dp_suf[u].assign(k + 2, 0);
for (int j = 1; j <= k; j++) dp_pref[u][j] = max(dp_pref[u][j - 1], dp[u][j - 1]);
for (int j = k; j >= 1; j--) dp_suf[u][j] = max(dp_suf[u][j + 1], dp[u][j - 1]);
};
dfs1(1, 0);
function<void(int, int)> dfs2 = [&](int u, int par) {
if (u != 1 && adj[u].size() == 1) return;
int k = adj[u].size();
for (int j = 1; j <= k; j++) {
if (adj[u][j - 1] == par) continue;
int v = adj[u][j - 1];
if (val[u] != 1) dp2[v] = 0;
else dp2[v] = max(dp2[u], max(dp_pref[u][j - 1], dp_suf[u][j + 1])) + 1;
dfs2(v, u);
}
};
dfs2(1, 0);
pair<int, int> ans = {1e9 + 7, 1};
for (int i = 1; i <= n; i++) {
pair<int, int> tmp = {val[i], dp_suf[i][1] + dp2[i] + 1};
if (tmp < ans) ans = tmp;
}
int g = __gcd(ans.first, ans.second);
ans.first /= g; ans.second /= g;
cout << ans.first << '/' << ans.second;
return 0;
}
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