题意:
- 给一个长度为n的数组a,问有多少个连续的子数组的异或和大于等于k
思路:
- 01字典树
- 建立前缀异或和数组,题目变为有多少个$a_i ˆ a_j(1 \leq i < j \leq n)$
- 类似(几乎一模一样)的题目
-
一次插入一个左端点,然后枚举右端点的情况
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R ^ L $\leq$ k,从高位往低位
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$k_i = 1$,必须$R_i$ ^ $L_i = 1$,走 $R_i $ ^ $ 1$;$R_i$ ^ $L_i = 0$会造成比 k 小,忽略
- $k_i = 0$,若$R_i$ ^ $L_i = 1$,加上$R_i $ ^ $ 1 $这个方向,因为这个方向必然会比 k 小;若$R_i$ ^ $L_i = 0$,走$R_i $这个方向
#include<bits/stdc++.h> #define debug1(a) cout<<#a<<'='<< a << endl; #define debug2(a,b) cout<<#a<<" = "<<a<<" "<<#b<<" = "<<b<<endl; #define debug3(a,b,c) cout<<#a<<" = "<<a<<" "<<#b<<" = "<<b<<" "<<#c<<" = "<<c<<endl; #define debug4(a,b,c,d) cout<<#a<<" = "<<a<<" "<<#b<<" = "<<b<<" "<<#c<<" = "<<c<<" "<<#d<<" = "<<d<<endl; #define debug5(a,b,c,d,e) cout<<#a<<" = "<<a<<" "<<#b<<" = "<<b<<" "<<#c<<" = "<<c<<" "<<#d<<" = "<<d<<" "<<#e<<" = "<<e<<endl; #define endl "\n" #define fi first #define se second //#define int long long using namespace std; typedef long long LL; typedef unsigned long long ULL; typedef pair<int,int> PII; typedef pair<LL,LL> PLL; //#pragma GCC optimize(3,"Ofast","inline") //#pragma GCC optimize(2) const int N = 1e6+10; int son[32*N][2],idx; int cnt[32*N]; int a[N]; int n,k; void insert(int x) { int p = 0; for (int i = 30; i >= 0; i -- ) { int &s = son[p][x >> i & 1]; if (!s) s = ++ idx; p = s; cnt[p] ++; } } int get(int x,int R) { int p = 0; int res = 0; for(int i = 30;i >= 0;i -- ) { if(x >> i & 1) { p = son[p][(R>>i&1)^1]; }else{ res += cnt[son[p][(R>>i&1)^1]]; p = son[p][R>>i&1]; } if(p == 0)return res; } return res + cnt[p]; } void solve() { cin >> n >> k; for(int i = 1;i <= n;i ++) { cin >> a[i]; a[i] ^= a[i-1]; } long long ans = 0; insert(0); for(int i = 1;i <= n;i ++) { ans += get(k,a[i]); insert(a[i]); } cout << ans << endl; } signed main() { /* ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); */ int T = 1;//cin >> T; while(T--){ //puts(solve()?"YES":"NO"); solve(); } return 0; } /* */
标签:Beautiful,cnt,01,return,int,Subarrays,son,res From: https://www.cnblogs.com/cfddfc/p/17044702.html