From 6c16185126a286b8153031488960a3af8200321b Mon Sep 17 00:00:00 2001
From: Barrett Ruth <br.barrettruth@gmail.com>
Date: Fri, 7 Mar 2025 18:03:28 -0500
Subject: [PATCH] feat(cf): 891 g

---
 codeforces/891/d.cc  |   8 +-
 codeforces/891/d.out |   2 +-
 codeforces/891/g.cc  | 175 +++++++++++++++++++++++++++++++++++++++++++
 codeforces/891/g.in  |  22 ++++++
 codeforces/891/g.out |   7 ++
 5 files changed, 209 insertions(+), 5 deletions(-)
 create mode 100644 codeforces/891/g.cc
 create mode 100644 codeforces/891/g.in
 create mode 100644 codeforces/891/g.out

diff --git a/codeforces/891/d.cc b/codeforces/891/d.cc
index 1b48d5b..42e9af8 100644
--- a/codeforces/891/d.cc
+++ b/codeforces/891/d.cc
@@ -83,10 +83,10 @@ void solve() {
   ve<ll> ans;
   for (int i = 0; i < n; ++i) {
     auto diff = a[i] - b[i];
-    if (diff > best_diff) {
-      best_diff = diff;
-      ans = {i};
-    } else if (diff == best_diff) {
+    if (diff > best_diff)
+      ans.clear();
+    best_diff = max(best_diff, diff);
+    if (diff >= best_diff) {
       ans.eb(i);
     }
   }
diff --git a/codeforces/891/d.out b/codeforces/891/d.out
index 8ba5580..91ae1d7 100644
--- a/codeforces/891/d.out
+++ b/codeforces/891/d.out
@@ -10,4 +10,4 @@
 2 3 
 
 [code]: 0
-[time]: 14.0336 ms
+[time]: 14.0815 ms
\ No newline at end of file
diff --git a/codeforces/891/g.cc b/codeforces/891/g.cc
new file mode 100644
index 0000000..a04bd12
--- /dev/null
+++ b/codeforces/891/g.cc
@@ -0,0 +1,175 @@
+#include <bits/stdc++.h>  // {{{
+
+// https://codeforces.com/blog/entry/96344
+
+#pragma GCC optimize("O2,unroll-loops")
+#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
+
+using namespace std;
+
+template <typename T>
+[[nodiscard]] static T MIN() {
+  return std::numeric_limits<T>::min();
+}
+
+template <typename T>
+[[nodiscard]] static T MAX() {
+  return std::numeric_limits<T>::max();
+}
+
+template <typename T>
+[[nodiscard]] static T sc(auto&& x) {
+  return static_cast<T>(x);
+}
+
+template <typename T>
+[[nodiscard]] static T sz(auto&& x) {
+  return static_cast<T>(x.size());
+}
+
+#define prln(...) std::println(__VA_ARGS__)
+#define pr(...) std::print(__VA_ARGS__)
+
+#ifdef LOCAL
+#define dbgln(...) std::println(__VA_ARGS__)
+#define dbg(...) std::print(__VA_ARGS__)
+#endif
+
+inline static void NO() {
+  prln("NO");
+}
+
+inline static void YES() {
+  prln("YES");
+}
+
+using ll = long long;
+using ld = long double;
+template <typename T>
+using ve = std::vector<T>;
+template <typename T, size_t N>
+using ar = std::array<T, N>;
+template <typename T1, typename T2>
+using pa = std::pair<T1, T2>;
+template <typename... Ts>
+using tu = std::tuple<Ts...>;
+template <typename... Ts>
+using dq = std::deque<Ts...>;
+template <typename... Ts>
+using qu = std::queue<Ts...>;
+template <typename... Ts>
+using pq = std::priority_queue<Ts...>;
+template <typename... Ts>
+using st = std::stack<Ts...>;
+auto lb = [](auto... args) {
+  return std::lower_bound(args...);
+};
+auto ub = [](auto... args) {
+  return std::upper_bound(args...);
+};
+
+#define ff first
+#define ss second
+#define eb emplace_back
+#define pb push_back
+#define all(x) (x).begin(), (x).end()
+#define rall(x) (x).rbegin(), (x).rend()
+//  }}}
+
+template <typename T>
+struct union_find {
+ public:
+  explicit union_find(size_t capacity)
+      : par(capacity), rank(capacity, 0), size(capacity, 1) {
+    iota(all(par), 0);
+  };
+
+  void join(T u, T v) noexcept {
+    u = find(u), v = find(v);
+
+    if (u == v)
+      return;
+
+    if (rank[u] < rank[v])
+      std::swap(u, v);
+
+    if (rank[u] == rank[v])
+      ++rank[u];
+
+    par[v] = u;
+    size[u] += size[v];
+    size[v] = size[u];
+  }
+
+  [[nodiscard]] T find(T const& u) noexcept {
+    if (u != par[u])
+      par[u] = find(par[u]);
+    return par[u];
+  }
+
+  std::vector<int> par;
+  std::vector<int> rank;
+  std::vector<int> size;
+};
+
+constexpr static int MOD = 998244353;
+
+long long modpow(long long a, long long b,
+                 long long mod = std::numeric_limits<long long>::max()) {
+  long long ans = 1;
+  a %= mod;
+  while (b > 0) {
+    if (b & 1) {
+      ans *= a;
+      ans %= MOD;
+    }
+    a *= a;
+    a %= MOD;
+    b >>= 1;
+  }
+  return ans;
+}
+
+void solve() {
+  int n;
+  ll S;
+  cin >> n >> S;
+  ve<tu<ll, int, int>> e;
+
+  for (int i = 0; i < n - 1; ++i) {
+    int u, v;
+    ll w;
+    cin >> u >> v >> w;
+    e.eb(w, u, v);
+  }
+
+  sort(all(e));
+
+  union_find<int> uf(n + 1);
+  ll ans = 1;
+
+  for (auto& [w, u, v] : e) {
+    ans = (ans * modpow(S - w + 1,
+                        (1LL * uf.size[uf.find(u)] * uf.size[uf.find(v)] - 1),
+                        MOD)) %
+          MOD;
+    uf.join(u, v);
+  }
+
+  prln("{}", ans);
+}
+
+int main() {  // {{{
+  cin.tie(nullptr)->sync_with_stdio(false);
+  cin.exceptions(cin.failbit);
+
+  int t = 1;
+  cin >> t;
+
+  while (t--) {
+    solve();
+  }
+
+  return 0;
+}
+// }}}
diff --git a/codeforces/891/g.in b/codeforces/891/g.in
new file mode 100644
index 0000000..5c36ad5
--- /dev/null
+++ b/codeforces/891/g.in
@@ -0,0 +1,22 @@
+4
+2 5
+1 2 4
+4 5
+1 2 2
+2 3 4
+3 4 3
+5 6
+1 2 3
+1 3 2
+3 4 6
+3 5 1
+10 200
+1 2 3
+2 3 33
+3 4 200
+1 5 132
+5 6 1
+5 7 29
+7 8 187
+7 9 20
+7 10 4
diff --git a/codeforces/891/g.out b/codeforces/891/g.out
new file mode 100644
index 0000000..114b5e5
--- /dev/null
+++ b/codeforces/891/g.out
@@ -0,0 +1,7 @@
+1
+8
+80
+650867886
+
+[code]: 0
+[time]: 14.3304 ms
\ No newline at end of file