結果

問題 No.1769 Don't Stop the Game
ユーザー first_vil
提出日時 2021-10-22 21:10:48
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 763 ms / 3,000 ms
コード長 3,972 bytes
コンパイル時間 3,043 ms
コンパイル使用メモリ 216,108 KB
最終ジャッジ日時 2025-01-25 03:04:22
ジャッジサーバーID
(参考情報)
judge1 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 28
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

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define rep(i,n) for(int i=0;i<n;++i)
template<class T> inline void print(const T & a) { cout << a << "\n"; }
template<class T, class... Ts> inline void print(const T & a, const Ts&... ts) { cout << a << " "; print(ts...); }
template<class T> inline void print(const vector<T>&v) { for (int i = 0; i < v.size(); ++i)cout << v[i] << (i == v.size() - 1 ? "\n" : " "); }
pair<int, int> operator+(const pair<int, int>& a, const pair<int, int>& b) {
return { a.first + b.first,a.second + b.second };
}
pair<int, int> operator-(const pair<int, int>& a, const pair<int, int>& b) {
return { a.first - b.first,a.second - b.second };
}
pair<int, int> operator+=(pair<int, int>& a, const pair<int, int>& b) {
a.first += b.first;
a.second += b.second;
return a;
}
template<class T> class BinaryIndexedTree {
int n;
vector<T> dat;
public:
BinaryIndexedTree(int n) : n(n), dat(n + 1) {};
void add(int i, T a) {
for (++i; i <= n; i += i & -i)dat[i] += a;
}
T sum(int r) {// sum of [0,r)
T res = {};
for (; r; r -= r & -r)res += dat[r];
return res;
}
T sum(int l, int r) {// sum of [l,r)
if (l < 0 || n < r || l > r)return {};
return sum(r) - sum(l);
}
};
int main() {
int n; cin >> n;
vector<vector<pair<int, int>>> g(n);
rep(i, n - 1) {
int a, b, c; cin >> a >> b >> c;
--a, --b;
g[a].emplace_back(b, c);
g[b].emplace_back(a, c);
}
int now = 0;
vector<int> siz(n, 1), x(n), in(n), out(n);
auto dfs0 = [&](auto&& f, int cur, int par)->void {
in[cur] = now;
++now;
for (auto [to, weight] : g[cur]) {
if (to == par)continue;
x[to] = x[cur] ^ weight;
f(f, to, cur);
siz[cur] += siz[to];
}
out[cur] = now;
};
dfs0(dfs0, 0, -1);
auto sorted_x = x;
sort(sorted_x.begin(), sorted_x.end());
sorted_x.erase(unique(sorted_x.begin(), sorted_x.end()), sorted_x.end());
rep(i, n)x[i] = lower_bound(sorted_x.begin(), sorted_x.end(), x[i]) - sorted_x.begin();//compress
vector<vector<int>> idxs(sorted_x.size());
auto dfs1 = [&](auto&& f, int cur, int par)->void {
idxs[x[cur]].push_back(in[cur]);
for (auto [to, weight] : g[cur]) {
if (to == par)continue;
f(f, to, cur);
}
};
dfs1(dfs1, 0, -1);
vector<BinaryIndexedTree<pair<int, int>>> y_cnt;
y_cnt.reserve(idxs.size());
rep(i, idxs.size()) {
sort(idxs[i].begin(), idxs[i].end());
y_cnt.emplace_back(idxs[i].size());
}
ll ans = ll(n) * (n - 1);
auto dfs2 = [&](auto&& f, int cur, int par)->void {
int l = lower_bound(idxs[x[cur]].begin(), idxs[x[cur]].end(), in[cur]) - idxs[x[cur]].begin();
int r = lower_bound(idxs[x[cur]].begin(), idxs[x[cur]].end(), out[cur]) - idxs[x[cur]].begin();
for (auto [to, weight] : g[cur]) {
if (to == par)continue;
f(f, to, cur);
}
{
auto [y, cnt] = y_cnt[x[cur]].sum(l, r);
ans -= y;//case-1
y_cnt[x[cur]].add(l, pair<int, int>(siz[cur] - y, 1 - cnt));
}
if (cur == 0) {
rep(i, idxs.size())if (i != x[cur]) {
auto [y, cnt] = y_cnt[i].sum(0, idxs[i].size());
ans -= ll(y) * cnt;//case-3
}
}
else {
l = lower_bound(idxs[x[par]].begin(), idxs[x[par]].end(), in[cur]) - idxs[x[par]].begin();
r = lower_bound(idxs[x[par]].begin(), idxs[x[par]].end(), out[cur]) - idxs[x[par]].begin();
auto [y, cnt] = y_cnt[x[par]].sum(l, r);
ans -= ll(cnt) * (n - siz[cur]);//case-2
ans -= ll(y) * cnt;//case-3
ans += siz[cur];//case-3
}
};
dfs2(dfs2, 0, -1);
cout << ans << "\n";
return 0;
}
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