#include<bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef pair<int,int> pii;
const int MAXN=100010,MP=25;
int n;
int u,v;
int pot;
int val[MAXN],pref[MAXN];
int dp[MAXN][2];
vector<int>graf[MAXN];
ll sol,sum;
void calc_pref(int x,int par,int last){
pref[x]=last^val[x];
for(auto y:graf[x]){
if(y==par) continue;
calc_pref(y,x,pref[x]);
}
}
void calc_dp(int x,int par){
dp[x][0]=(((1<<pot)&pref[x])==0);
dp[x][1]=!dp[x][0];
for(auto y:graf[x]){
if(y==par) continue;
calc_dp(y,x);
dp[x][0]+=dp[y][0];
dp[x][1]+=dp[y][1];
}
}
int PREF(int x){
if(x==-1) return 0;
return pref[x];
}
void solve(int x,int par){
int c=(val[x]&(1<<pot));
if(c){
int n0=0,n1=0;
ll t=0;
for(auto y:graf[x]){
if(y==par) continue;
n0+=dp[y][0];
n1+=dp[y][1];
}
for(auto y:graf[x]){
if(y==par) continue;
t+=1ll*dp[y][1]*(n1-dp[y][1]);
t+=1ll*dp[y][0]*(n0-dp[y][0]);
}
sum+=t/2;
}
else{
int n0=0;
for(auto y:graf[x]){
if(y==par) continue;
n0+=dp[y][0];
}
for(auto y:graf[x]){
if(y==par) continue;
sum+=1ll*dp[y][1]*(n0-dp[y][0]);
}
}
if(PREF(par)&(1<<pot)){
for(auto y:graf[x]){
if(y==par) continue;
sum+=dp[y][0];
}
}
else{
for(auto y:graf[x]){
if(y==par) continue;
sum+=dp[y][1];
}
}
for(auto y:graf[x]){
if(y==par) continue;
solve(y,x);
}
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);cout.tie(0);
cin>>n;
for(int i=0;i<n;i++){
cin>>val[i];
}
for(int i=1;i<n;i++){
cin>>u>>v;u--;v--;
graf[u].push_back(v);
graf[v].push_back(u);
}
calc_pref(0,-1,0);
for(pot=0;pot<MP;pot++){
sum=0;
calc_dp(0,-1);
solve(0,-1);
sol+=sum*(1<<pot);
}
for(int i=0;i<n;i++) sol+=val[i];
cout<<sol<<"\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
2680 KB |
Output is correct |
2 |
Correct |
4 ms |
2684 KB |
Output is correct |
3 |
Correct |
4 ms |
2744 KB |
Output is correct |
4 |
Correct |
8 ms |
2872 KB |
Output is correct |
5 |
Correct |
6 ms |
2932 KB |
Output is correct |
6 |
Correct |
181 ms |
15772 KB |
Output is correct |
7 |
Correct |
159 ms |
17196 KB |
Output is correct |
8 |
Correct |
227 ms |
17196 KB |
Output is correct |
9 |
Correct |
235 ms |
17196 KB |
Output is correct |
10 |
Correct |
394 ms |
17196 KB |
Output is correct |