結果

問題 No.2892 Lime and Karin
ユーザー 👑 Nachia
提出日時 2024-09-13 22:49:29
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 171 ms / 8,000 ms
コード長 3,531 bytes
コンパイル時間 1,032 ms
コンパイル使用メモリ 86,900 KB
最終ジャッジ日時 2025-02-24 08:05:55
ジャッジサーバーID
(参考情報)
judge2 / judge2
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 52
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

#ifdef NACHIA
#define _GLIBCXX_DEBUG
#else
#define NDEBUG
#endif
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
using i64 = long long;
using u64 = unsigned long long;
#define rep(i,n) for(int i=0; i<int(n); i++)
const i64 INF = 1001001001001001001;
template<typename A> void chmin(A& l, const A& r){ if(r < l) l = r; }
template<typename A> void chmax(A& l, const A& r){ if(l < r) l = r; }
#include <atcoder/modint>
using Modint = atcoder::static_modint<998244353>;
using namespace std;
void testcase(){
int N; cin >> N;
vector<vector<int>> adj(N);
rep(i,N-1){
int u,v; cin >> u >> v; u--; v--;
adj[u].push_back(v);
adj[v].push_back(u);
}
vector<int> aw(N); {
string s; cin >> s;
rep(i,N) aw[i] = (s[i] == '1' ? 1 : -1);
}
vector<int> parent(N, -1);
vector<int> Z(N, 1);
{
vector<int> bfs;
bfs.push_back(0);
rep(i,N){
int v = bfs[i];
for(int w : adj[v]) if(parent[v] != w){
parent[w] = v;
bfs.push_back(w);
}
}
for(int i=N-1; i>=1; i--) Z[parent[bfs[i]]] += Z[bfs[i]];
}
//cout << "##" << endl;
i64 ans = 0;
auto flushTable = [&](int off, const vector<int>& c, int root) -> i64 {
auto cs = vector<int>(c.size()+1);
rep(i,c.size()) cs[i+1] += cs[i] + c[i];
i64 cc = i64(cs.back()) * i64(cs.back());
for(i64 i=0; i<i64(c.size()); i++){
i64 j = off - (i + root - off);
if(j >= 0) cc -= i64(c[i]) * i64(cs[min<i64>(cs.size() - 1, j + 1)]);
}
return cc;
};
//for(auto p : parent) cout << p << " ";
//cout << endl;
//for(auto p : Z) cout << p << " ";
//cout << endl;
auto cd = [&](auto& cd, int v) -> void {
while(true){
int nx = -1;
for(int w : adj[v]) if(Z[w] * 2 > Z[v]){
Z[v] -= Z[w]; Z[w] += Z[v];
parent[v] = w; parent[w] = -1;
nx = w;
break;
}
if(nx >= 0) v = nx; else break;
}
//cout << "v = " << v << endl;
int off = Z[v];
vector<int> cnt(Z[v] * 2 + 1);
cnt[off] += 1;
int rootaw = aw[v];
Z[v] = 0;
for(int w : adj[v]) if(Z[w] != 0){
//cout << "w = " << w << endl;
parent[w] = -1;
int offw = Z[w];
vector<int> cntw(Z[w] * 2 + 1);
vector<pair<int, int>> bfs;
bfs.push_back({ w, 0 });
rep(q,bfs.size()){
auto [x,c] = bfs[q];
//cout << "x = " << x << " , c = " << c << endl;
c += aw[x];
cntw[c + offw] += 1;
cnt[c + off] += 1;
for(int y : adj[x]) if(Z[y] != 0 && parent[x] != y){
bfs.push_back({ y, c });
}
}
//cout << "v = " << v << " , w = " << w << endl;
//for(auto a : cntw) cout << a << " ";
//cout << endl;
ans -= flushTable(offw, cntw, aw[v]);
cd(cd, w);
}
// cout << "v = " << v << endl;
// for(auto a : cnt) cout << a << " ";
// cout << endl;
ans += flushTable(off, cnt, aw[v]);
};
rep(i,N) if(aw[i] > 0) ans += 1;
cd(cd, 0);
ans /= 2;
cout << ans << endl;
}
int main(){
ios::sync_with_stdio(false); cin.tie(nullptr);
testcase();
return 0;
}
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