Saturday, October 17, 2020

1310. XOR Queries of a Subarray ------M

 Given the array arr of positive integers and the array queries where queries[i] = [Li, Ri], for each query i compute the XOR of elements from Li to Ri (that is, arr[Lixor arr[Li+1xor ... xor arr[Ri] ). Return an array containing the result for the given queries.

 

Example 1:

Input: arr = [1,3,4,8], queries = [[0,1],[1,2],[0,3],[3,3]]
Output: [2,7,14,8] 
Explanation: 
The binary representation of the elements in the array are:
1 = 0001 
3 = 0011 
4 = 0100 
8 = 1000 
The XOR values for queries are:
[0,1] = 1 xor 3 = 2 
[1,2] = 3 xor 4 = 7 
[0,3] = 1 xor 3 xor 4 xor 8 = 14 
[3,3] = 8

Example 2:

Input: arr = [4,8,2,10], queries = [[2,3],[1,3],[0,0],[0,3]]
Output: [8,0,4,4]

 

Constraints:

  • 1 <= arr.length <= 3 * 10^4
  • 1 <= arr[i] <= 10^9
  • 1 <= queries.length <= 3 * 10^4
  • queries[i].length == 2
  • 0 <= queries[i][0] <= queries[i][1] < arr.length

A:

类似于 subarray sum.  每个地方保存之前的值。

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class Solution {
public:
    vector<int> xorQueries(vector<int>& arr, vector<vector<int>>& queries) {
        int n = arr.size();
        vector<int> V(n+1,0);
        for(int i = 0;i<n;i++){
            V[i+1] = V[i] ^ arr[i];
        }
        vector<int> res;
        for(int i =0;i<queries.size();i++){
            int l = queries[i][0];
            int r = queries[i][1];
            res.push_back(V[r+1] ^ V[l]);
        }
        return res;
    }
};



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