P5283 [十二省联考2019]异或粽子

时间:2021-12-27 21:24:56

考场上想到了没打完,细节思路还是不是很优,我原先的想法是每一次找完后标记那个点,下次再继续找(并不是这个意思,说不清楚)但实际上和平衡树一样加个大小就很好写了

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN=500005;
const int DEP=31;
int N,M;
ll ans,s[MAXN];
struct node{
    ll val;
    int x,k;
    bool operator <(const node& A) const {
		return val<A.val;
	}
};
priority_queue<node> q;
struct Node{
    int ch[2],sum;
}trie[MAXN*(DEP+2)];
int head[MAXN],cnt;
void insert(Node c,Node& u,ll val,int d){
    u.sum=c.sum+1;
    if(d<0) return;
    int x=(val>>d)&1ll;
    u.ch[!x]=c.ch[!x];
    insert(trie[c.ch[x]],trie[u.ch[x]=++cnt],val,d-1);
}
ll query(Node u,ll val,int d,int k){
    if(d<0) return 0;
    int x=(val>>d)&1;
    int lsum=trie[u.ch[!x]].sum;
    if(lsum>=k)
        return ((ll)1<<d)+(ll)query(trie[u.ch[!x]],val,d-1,k);
    return (ll)query(trie[u.ch[x]],val,d-1,k-lsum);
}
int main(){
    trie[0].ch[0]=trie[0].ch[1]=trie[0].sum=0;
    insert(trie[0],trie[head[0]=++cnt],0,DEP);
    scanf("%d%d",&N,&M);
    for(int i=1;i<=N;++i){
        ll a;
        scanf("%lld",&a);
        s[i]=s[i-1]^a;
        insert(trie[head[i-1]],trie[head[i]=++cnt],s[i],DEP);
        q.push((node){query(trie[head[i-1]],s[i],DEP,1),i,1});
    }
    for(int i=1;i<=M;++i){
        ans+=q.top().val;
        int x=q.top().x,k=q.top().k;
        q.pop();
        if(k==x) continue;
        q.push((node){query(trie[head[x-1]],s[x],DEP,k+1),x,k+1});
    }
    printf("%lld",ans);
    return 0;
}