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  • Codeforces Round #340 (Div. 2) E. XOR and Favorite Number 莫队算法

    E. XOR and Favorite Number

    题目连接:

    http://www.codeforces.com/contest/617/problem/E

    Descriptionww.co

    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 pair li and ri and asks you to count the number of pairs of integers i and j, such that l ≤ i ≤ j ≤ r and the xor of the numbers ai, ai + 1, ..., aj is equal to k.

    Input

    The first line of the input contains integers n, m and k (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 and ri (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.

    Sample Input

    6 2 3
    1 2 1 1 0 3
    1 6
    3 5

    Sample Output

    7
    0

    Hint

    题意

    给你n个数,然后M次询问,问你l,r区间内有多少对数,使得a[i]^a[j] = k

    题解:

    无修改,而且可以知道[l,r]可以O(1)就出[l-1,r],[l,r+1],[l+1,r],[l,r-1]的数据的

    所有很显然的莫队算法搞一搞就好了

    直接大暴力,注意不能再带log,所以直接开数组存就好了

    注意,数组得开大一点哦

    代码

    #include<bits/stdc++.h>
    using namespace std;
    const int maxn = 120010;
    
    int a[maxn],pos[maxn];
    long long ans,flag[5000000];
    long long Ans[maxn];
    int k;
    struct query
    {
        int l,r,id;
    }Q[maxn];
    bool cmp(query a,query b)
    {
        if(pos[a.l]==pos[b.l])
            return a.r<b.r;
        return pos[a.l]<pos[b.l];
    }
    void Updata(int x)
    {
        ans+=flag[a[x]^k];
        flag[a[x]]++;
    }
    void Delete(int x)
    {
        flag[a[x]]--;
        ans-=flag[a[x]^k];
    }
    int main()
    {
        int n,m;
        scanf("%d%d%d",&n,&m,&k);
        int sz =ceil(sqrt(1.0*n));
        for(int i=1;i<=n;i++)
        {
            scanf("%d",&a[i]);
            pos[i]=(i-1)/sz;
        }
        for(int i=1;i<=n;i++)
            a[i]^=a[i-1];
        for(int i=1;i<=m;i++)
        {
            scanf("%d%d",&Q[i].l,&Q[i].r);
            Q[i].id = i;
        }
        sort(Q+1,Q+1+m,cmp);
        int l = 1,r = 0;
        ans=0;
        flag[0]=1;
        for(int i=1;i<=m;i++)
        {
            int id = Q[i].id;
            while(r<Q[i].r)
            {
                r++;
                Updata(r);
            }
            while(l>Q[i].l)
            {
                l--;
                Updata(l-1);
            }
            while(r>Q[i].r)
            {
                Delete(r);
                r--;
            }
            while(l<Q[i].l)
            {
                Delete(l-1);
                l++;
            }
            Ans[id]=ans;
        }
        for(int i=1;i<=m;i++)
            printf("%lld
    ",Ans[i]);
    }
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  • 原文地址:https://www.cnblogs.com/qscqesze/p/5156445.html
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