結果

問題 No.872 All Tree Path
ユーザー iiljj
提出日時 2020-09-02 19:38:40
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 767 ms / 3,000 ms
コード長 7,569 bytes
コンパイル時間 3,980 ms
コンパイル使用メモリ 212,416 KB
最終ジャッジ日時 2025-01-14 03:37:45
ジャッジサーバーID
(参考情報)
judge5 / judge1
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ファイルパターン 結果
sample AC * 2
other AC * 18
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

/* #region Head */
// #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;
#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define PERM(c) \
sort(ALL(c)); \
for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());
#define endl '\n'
#define sqrt sqrtl
#define floor floorl
#define log2 log2l
constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;
template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector
for (T &x : vec) is >> x;
return is;
}
template <typename T> ostream &operator<<(ostream &os, vc<T> &vec) { // vector (for dump)
os << "{";
REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
os << "}";
return os;
}
template <typename T> ostream &operator>>(ostream &os, vc<T> &vec) { // vector (inline)
REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
return os;
}
template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair
is >> pair_var.first >> pair_var.second;
return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, pair<T, U> &pair_var) { // pair
os << "(" << pair_var.first << ", " << pair_var.second << ")";
return os;
}
// map, um, set, us
template <class T> ostream &out_iter(ostream &os, T &map_var) {
os << "{";
REPI(itr, map_var) {
os << *itr;
auto itrcp = itr;
if (++itrcp != map_var.end()) os << ", ";
}
return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, map<T, U> &map_var) { return out_iter(os, map_var); }
template <typename T, typename U> ostream &operator<<(ostream &os, um<T, U> &map_var) {
os << "{";
REPI(itr, map_var) {
auto [key, value] = *itr;
os << "(" << key << ", " << value << ")";
auto itrcp = itr;
if (++itrcp != map_var.end()) os << ", ";
}
os << "}";
return os;
}
template <typename T> ostream &operator<<(ostream &os, set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, pq<T> &pq_var) {
pq<T> pq_cp(pq_var);
os << "{";
if (!pq_cp.empty()) {
os << pq_cp.top(), pq_cp.pop();
while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
}
return os << "}";
}
// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&... tail) {
DUMPOUT << head;
if (sizeof...(Tail) > 0) DUMPOUT << ", ";
dump_func(move(tail)...);
}
// chmax ()
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
if (comp(xmax, x)) {
xmax = x;
return true;
}
return false;
}
// chmin ()
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
if (comp(x, xmin)) {
xmin = x;
return true;
}
return false;
}
//
#define DEBUG_
#ifdef DEBUG_
#define DEB
#define dump(...) \
DUMPOUT << " " << string(#__VA_ARGS__) << ": " \
<< "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl \
<< " ", \
dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif
struct AtCoderInitialize {
static constexpr int IOS_PREC = 15;
static constexpr bool AUTOFLUSH = false;
AtCoderInitialize() {
ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
cout << fixed << setprecision(IOS_PREC);
if (AUTOFLUSH) cout << unitbuf;
}
} ATCODER_INITIALIZE;
void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; }
void YN(bool p) { cout << (p ? "YES" : "NO") << endl; }
/* #endregion */
template <typename T> struct TreeDP {
using merge_t = function<T(T, T)>;
using add_root_t = function<T(T)>;
struct edge_t {
int to;
ll cost;
edge_t(int to, ll cost = 0) : to(to), cost(cost) {}
};
using graph_t = vc<vc<edge_t>>;
merge_t merge;
add_root_t add_root;
int n; //
const T e; //
vector<T> dp;
graph_t G;
TreeDP(merge_t merge, add_root_t add_root, int n, T e) : merge(merge), add_root(add_root), n(n), e(e) {
dp.resize(n), G.resize(n);
}
void add_edge(int a, int b) { G[a].emplace_back(b); }
void build() { dfs(0); }
void dfs(int v, int p = -1) {
T dp_cum = e;
int deg = (int)G[v].size();
for (int i = 0; i < deg; ++i) {
int x = G[v][i].to;
if (x == p) continue;
dfs(x, v);
dp_cum = merge(dp_cum, dp[x]);
}
dp[v] = add_root(dp_cum);
}
};
// Problem
void solve() {
ll n;
cin >> n;
auto merge = [](ll dp_cum, ll d) -> ll { return dp_cum + d; };
auto add_root = [](ll d) -> ll { return d + 1; };
TreeDP<ll> tdp(merge, add_root, n, 0);
map<pair<int, int>, ll> dist;
REP(i, 0, n - 1) {
ll u, v, w;
cin >> u >> v >> w;
--u, --v;
tdp.add_edge(u, v);
tdp.add_edge(v, u);
dist[pair<int, int>({u, v})] = w;
}
tdp.build();
ll ret = 0;
for (auto [uv, w] : dist) {
// u v 使
auto [u, v] = uv;
ll subtree_sz = min(tdp.dp[u], tdp.dp[v]); //
ll dual_subtree_sz = n - subtree_sz;
ret += w * subtree_sz * dual_subtree_sz;
}
cout << ret * 2 << endl;
}
// entry point
int main() {
solve();
return 0;
}
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