codeforces 617E 莫队算法
2017-04-21 01:16
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又是玄之又玄的bug改到深夜。
先附上代码和题目吧
题目:
Bob has a favorite number k and
ai of length
n. Now he asks you to answer m queries. Each query is given by a pairli andri
and asks you to count the number of pairs of integersi andj, such thatl ≤ i ≤ j ≤ r and the xor of the numbersai, ai + 1, ..., aj
is equal tok.
Input
The first line of the input contains integers n,m andk (1 ≤ n, m ≤ 100 000,0 ≤ k ≤ 1 000 000) —
the length of the array, the number of queries and Bob's favorite number respectively.
The second line contains n integers
ai (0 ≤ ai ≤ 1 000 000) — Bob's array.
Then m lines follow. The
i-th line contains integers li andri (1 ≤ li ≤ ri ≤ n) —
the parameters of the i-th query.
Output
Print m lines, answer the queries in the order they appear in the input.
Example
Input
Output
Input
Output
Note
In the first sample the suitable pairs of i andj for the first query are: (1,2), (1,4),
(1, 5), (2,3), (3,6), (5,
6), (6,6). Not a single of these pairs is suitable for the second query.
In the second sample xor equals 1 for all subarrays of an odd length
大致题意是:给你一段区间,让你求L,R区间有多少个子序列的异或值为k。莫队算法的思路http://blog.csdn.net/hzj1054689699/article/details/51866615和http://blog.csdn.net/bossup/article/details/39236275已经讲的非常详细了,我肯定没dalao讲的好啊,就不说了,主要提醒的一点是注意排序要分块,我到现在也不知道为什么不分块就会超时,仍然没有参透。哪天参透了再说吧,哈哈哈,分块大法好,关键时刻把命保
代码如下:
先附上代码和题目吧
题目:
Bob has a favorite number k and
ai of length
n. Now he asks you to answer m queries. Each query is given by a pairli andri
and asks you to count the number of pairs of integersi andj, such thatl ≤ i ≤ j ≤ r and the xor of the numbersai, ai + 1, ..., aj
is equal tok.
Input
The first line of the input contains integers n,m andk (1 ≤ n, m ≤ 100 000,0 ≤ k ≤ 1 000 000) —
the length of the array, the number of queries and Bob's favorite number respectively.
The second line contains n integers
ai (0 ≤ ai ≤ 1 000 000) — Bob's array.
Then m lines follow. The
i-th line contains integers li andri (1 ≤ li ≤ ri ≤ n) —
the parameters of the i-th query.
Output
Print m lines, answer the queries in the order they appear in the input.
Example
Input
6 2 3 1 2 1 1 0 3 1 6 3 5
Output
7 0
Input
5 3 1 1 1 1 1 1 1 5 2 4 1 3
Output
9 4 4
Note
In the first sample the suitable pairs of i andj for the first query are: (1,2), (1,4),
(1, 5), (2,3), (3,6), (5,
6), (6,6). Not a single of these pairs is suitable for the second query.
In the second sample xor equals 1 for all subarrays of an odd length
大致题意是:给你一段区间,让你求L,R区间有多少个子序列的异或值为k。莫队算法的思路http://blog.csdn.net/hzj1054689699/article/details/51866615和http://blog.csdn.net/bossup/article/details/39236275已经讲的非常详细了,我肯定没dalao讲的好啊,就不说了,主要提醒的一点是注意排序要分块,我到现在也不知道为什么不分块就会超时,仍然没有参透。哪天参透了再说吧,哈哈哈,分块大法好,关键时刻把命保
代码如下:
#include <bits/stdc++.h> using namespace std; #define LL long long const int maxn = 1<<20; int n,m,k,nn; struct node{ int l,r,id; }; node Q[maxn]; LL ans[maxn],ANS; LL flag[maxn]; int sum[maxn]; int cmp(node a,node b){ if((a.l/nn) == (b.l/nn))return a.r<b.r; return (a.l/nn)<(b.l/nn); } void del(int rt){ flag[sum[rt]]--; ANS-=flag[sum[rt]^k]; } void add(int rt){ ANS+=flag[sum[rt]^k]; flag[sum[rt]]++; } int main(){ scanf("%d%d%d",&n,&m,&k); nn=sqrt(n); memset(flag,0,sizeof(flag)); sum[0]=0; for(int i=1;i<=n;i++){ scanf("%d",&sum[i]); sum[i]=sum[i]^sum[i-1]; } // for(int i=1;i<=n;i++){ // printf("%d ",sum[i]); // } // printf("\n"); for(int i=1;i<=m;i++){ scanf("%d%d",&Q[i].l,&Q[i].r); // Q[i].l--; Q[i].id=i; } sort(Q+1,Q+m+1,cmp); memset(ans,0,sizeof(ans)); ANS=0; int L=1,R=0; flag[0]=1; for(int i=1;i<=m;i++){ //Q[i].l--; while(L<Q[i].l){ del(L-1); L++; } while(L>Q[i].l){ L--; add(L-1); } while(R<Q[i].r){ R++; add(R); } while(R>Q[i].r){ del(R); R--; } ans[Q[i].id]=ANS; } for(int i=1;i<=m;i++){ printf("%lld\n",ans[i]); } }
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