比赛 |
round 1『缺混麻酱伞鹊役』 |
评测结果 |
AAAAAAAAAA |
题目名称 |
Xor-MST |
最终得分 |
100 |
用户昵称 |
┭┮﹏┭┮ |
运行时间 |
20.803 s |
代码语言 |
C++ |
内存使用 |
65.17 MiB |
提交时间 |
2024-11-21 09:28:04 |
显示代码纯文本
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<ll,ll>
#define fi first
#define in inline
#define se second
#define mp make_pair
#define pb push_back
const int N = 2e5+10;
ll read(){
ll x = 0,f = 1;char c = getchar();
for(;c < '0' || c > '9';c = getchar())if(c == '-')f = -1;
for(;c >= '0' && c <= '9';c = getchar())x = (x<<1) + (x<<3) + c-'0';
return x * f;
}
int n;
int a[N];
struct Trie{
int son[N*30][2],siz[N*40],id[N*40],cnt = 1;
void insert(int x,int i){
int p = 1;
for(int i = 31;i >= 0;i--){
int bit = x >> i & 1;
if(!son[p][bit])son[p][bit] = ++cnt;
p = son[p][bit];
siz[p]++;
}
id[p] = i;
}
void del(int x){
int p = 1;
for(int i = 31;i >= 0;i--){
int bit = x >> i & 1;
p = son[p][bit];
siz[p]--;
}
}
pii ask(int x){
int p = 1;ll s = 0;
for(int i = 31;i >= 0;i--){
int bit = x >> i & 1;
if(son[p][bit] && siz[son[p][bit]])p = son[p][bit];
else p = son[p][bit ^ 1],s += (1ll << i);
}
return {s,id[p]};
}
}t;
int cnt;
struct DSU{
int fa[N];
void clear(){for(int i = 1;i <= n;i++)fa[i] = i;}
int find(int x){return x == fa[x] ? x : fa[x] = find(fa[x]);}
void merge(int x,int y){
x = find(x),y = find(y);
if(x == y)return;
fa[x] = y,cnt--;
}
}U;
ll sum = 0;
vector<int>c[N];
int main(){
freopen("xormst.in","r",stdin);
freopen("xormst.out","w",stdout);
n = read();
U.clear();
cnt = n;
for(int i = 1;i <= n;i++)a[i] = read(),t.insert(a[i],i);
while(1){
for(int i = 1;i <= n;i++)c[i].clear();
for(int i = 1;i <= n;i++)c[U.find(i)].pb(i);
for(int i = 1;i <= n;i++)
if(i == U.fa[i]){
for(int x : c[i])
t.del(a[x]);
pii ans = {1e10,0};
for(int x : c[i]){
pii s = t.ask(a[x]);
if(s.fi < ans.fi)ans = s;
}
if(U.find(i) != U.find(ans.se))sum += ans.fi;
U.merge(i,ans.se);
for(int x : c[i])t.insert(a[x],x);
}
if(cnt == 1)break;
}
printf("%lld\n",sum);
return 0;
}