結果
| 問題 |
No.1002 Twotone
|
| コンテスト | |
| ユーザー |
ei1333333
|
| 提出日時 | 2020-03-26 01:08:25 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 1,800 ms / 5,000 ms |
| コード長 | 5,902 bytes |
| コンパイル時間 | 3,486 ms |
| コンパイル使用メモリ | 217,444 KB |
| 最終ジャッジ日時 | 2025-01-09 10:12:30 |
|
ジャッジサーバーID (参考情報) |
judge3 / judge1 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 33 |
ソースコード
#include <bits/stdc++.h>
#include <utility>
using namespace std;
using int64 = long long;
const int mod = 1e9 + 7;
//const int mod = 998244353;
const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;
struct IoSetup {
IoSetup() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
cerr << fixed << setprecision(10);
}
} iosetup;
template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 > &p) {
os << p.first << " " << p.second;
return os;
}
template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
is >> p.first >> p.second;
return is;
}
template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
for(int i = 0; i < (int) v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
for(T &in : v) is >> in;
return is;
}
template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }
template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }
template< typename T = int64 >
vector< T > make_v(size_t a) {
return vector< T >(a);
}
template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}
template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
t = v;
}
template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
for(auto &e : t) fill_v(e, v);
}
template< typename F >
struct FixPoint : F {
FixPoint(F &&f) : F(forward< F >(f)) {}
template< typename... Args >
decltype(auto) operator()(Args &&... args) const {
return F::operator()(*this, forward< Args >(args)...);
}
};
template< typename F >
inline decltype(auto) MFP(F &&f) {
return FixPoint< F >{forward< F >(f)};
}
template< typename T = int >
struct Edge {
int from, to;
T cost;
int idx;
Edge() = default;
Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {}
operator int() const { return to; }
};
template< typename T = int >
struct Graph {
vector< vector< Edge< T > > > g;
int es;
Graph() = default;
explicit Graph(int n) : g(n), es(0) {}
size_t size() const {
return g.size();
}
void add_directed_edge(int from, int to, T cost = 1) {
g[from].emplace_back(from, to, cost, es++);
}
void add_edge(int from, int to, T cost = 1) {
g[from].emplace_back(from, to, cost, es);
g[to].emplace_back(to, from, cost, es++);
}
void read(int M, int padding = -1, bool weighted = false, bool directed = false) {
for(int i = 0; i < M; i++) {
int a, b;
cin >> a >> b;
a += padding;
b += padding;
T c = T(1);
if(weighted) cin >> c;
if(directed) add_directed_edge(a, b, c);
else add_edge(a, b, c);
}
}
};
/**
* @brief Centroid-Decomosition(重心分解)
*/
template< typename T >
struct CentroidDecomposition : Graph< T > {
public:
using Graph< T >::Graph;
using Graph< T >::g;
Graph< int > tree;
int build(int t = 0) {
sub.assign(g.size(), 0);
v.assign(g.size(), 0);
tree = Graph< T >(g.size());
return build_dfs(0);
}
explicit CentroidDecomposition(const Graph< T > &g) : Graph< T >(g) {}
private:
vector< int > sub;
vector< int > v;
inline int build_dfs(int idx, int par) {
sub[idx] = 1;
for(auto &to : g[idx]) {
if(to == par || v[to]) continue;
sub[idx] += build_dfs(to, idx);
}
return sub[idx];
}
inline int search_centroid(int idx, int par, const int mid) {
for(auto &to : g[idx]) {
if(to == par || v[to]) continue;
if(sub[to] > mid) return search_centroid(to, idx, mid);
}
return idx;
}
inline int build_dfs(int idx) {
int centroid = search_centroid(idx, -1, build_dfs(idx, -1) / 2);
v[centroid] = true;
for(auto &to : g[centroid]) {
if(!v[to]) tree.add_directed_edge(centroid, build_dfs(to));
}
v[centroid] = false;
return centroid;
}
};
int main() {
int N, K;
cin >> N >> K;
CentroidDecomposition< int > g(N);
g.read(N - 1, -1, true);
int root = g.build();
int64 ret = 0;
vector< int > used(N);
map< pair< int, int >, int > mp;
int all;
map< int, int > mp2;
map< int, int > mp3;
auto get_vec = MFP([&](auto get_vec, int idx, int par, int a, int b) -> void {
if(b == -1) {
ret += all - mp2[a];
ret += mp3[a];
} else {
ret++;
ret += mp2[a] + mp2[b];
ret += mp[minmax(a, b)];
}
for(auto &e : g.g[idx]) {
if(e.to == par) continue;
if(used[e.to]) continue;
if(a == e.cost) {
get_vec(e.to, idx, e.cost, b);
} else if(b == -1 || b == e.cost) {
get_vec(e.to, idx, a, e.cost);
}
}
});
auto add_vec = MFP([&](auto add_vec, int idx, int par, int a, int b) -> void {
if(b == -1) {
mp2[a]++;
all++;
} else {
mp[minmax(a, b)]++;
mp3[a]++;
mp3[b]++;
}
for(auto &e : g.g[idx]) {
if(e.to == par) continue;
if(used[e.to]) continue;
if(a == e.cost) {
add_vec(e.to, idx, e.cost, b);
} else if(b == -1 || b == e.cost) {
add_vec(e.to, idx, a, e.cost);
}
}
});
auto rec = MFP([&](auto rec, int idx) -> void {
used[idx] = true;
mp.clear();
mp2.clear();
mp3.clear();
all = 0;
for(auto &e : g.g[idx]) {
if(used[e.to]) continue;
get_vec(e.to, idx, e.cost, -1);
add_vec(e.to, idx, e.cost, -1);
}
for(auto &to : g.tree.g[idx]) {
rec(to);
}
used[idx] = false;
});
rec(root);
cout << ret << endl;
}
ei1333333