事实上,只需稍加变化就可以将此题变为The Xor Largest Pair (这是什么玩意儿???请看我的随笔(传送门))
设l[i]表示1≤l≤r≤i的最大的a[l]^a[l+1]^...^a[r],r[i]表示i≤l≤r≤N的最大a[l]^a[l+1]^...^a[r],则结果为max(l[i]+r[i+1]); 那么,如何求l[i]与r[i]呢?
设x[i]表示a[0]^a[1]^...^a[i](a[0]=0),那么l[i]=max(x[i]^x[j])(0≤j<i),此时用一下The Xor Largest Pair即可,r[i]同理
1 #include<cstdio> 2 #include<iostream> 3 #include<cmath> 4 #include<cstring> 5 #include<algorithm> 6 #include<cstdlib> 7 using namespace std; 8 int ch[400005<<5][2],tot=1,n,a[400005],l[400005],r[400005]; 9 void insert(int x) 10 { 11 int u=1; 12 for (int i=1<<30; i; i>>=1){ 13 int c=x&i; if (c) c=1; else c=0; 14 if (!ch[u][c]) ch[u][c]=++tot; 15 u=ch[u][c]; 16 } 17 } 18 int get(int x) 19 { 20 int u=1,ans=0; 21 for (int i=1<<30; i; i>>=1){ 22 int c=x&i; if (c) c=0; else c=1; 23 if (ch[u][c]) ans+=i,u=ch[u][c]; else u=ch[u][!c]; 24 } 25 return ans; 26 } 27 int main() 28 { 29 scanf("%d",&n); 30 memset(ch,0,sizeof(ch)); 31 for (int i=1; i<=n; i++) scanf("%d",&a[i]); 32 insert(0); int now=0; 33 for (int i=1; i<=n; i++){ 34 now^=a[i]; 35 insert(now); 36 l[i]=max(l[i-1],get(now)); 37 } 38 memset(ch,0,sizeof(ch)); tot=1;insert(0); now=0; 39 for (int i=n; i>=1; i--){ 40 now^=a[i]; 41 insert(now); 42 r[i]=max(r[i+1],get(now)); 43 } 44 int ans=0; 45 for (int i=1; i<n; i++) ans=max(ans,l[i]+r[i+1]); 46 cout<<ans<<endl; 47 return 0; 48 }
miao~~~