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  • HDU 5650 异或

    so easy

    Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
    Total Submission(s): 235    Accepted Submission(s): 180


    Problem Description
    Given an array with
    n
    integers, assume f(S) as the result of executing xor operation among all the elements of set S . e.g. if S={1,2,3} then f(S)=0 .

    your task is: calculate xor of all f(s) , here sS .
     
    Input
    This problem has multi test cases. First line contains a single integer T(T20) which represents the number of test cases.
    For each test case, the first line contains a single integer number n(1n1,000) that represents the size of the given set. then the following line consists of n different integer numbers indicate elements(109 ) of the given set.
     
    Output
    For each test case, print a single integer as the answer.
     
    Sample Input
    1 3 1 2 3
     
    Sample Output
    0 In the sample,$S = {1, 2, 3}$, subsets of $S$ are: $varnothing$, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}
     
    Source
    题意: 给你一个集合S    f(s)代表其子集中的元素的异或值
            输出所有子集的异或值
    题解:设集合有n个数,则包含x的子集个数有2^(n-1)个。 那么当n > 1时,x出现了偶数次,所以其对答案的贡献就是0;当 n = 1时,其对答案的贡献是 x。
        (两个相同的数的异或值为0)
    5(10)=101(2)
    5^5=0
      101
      101
    =000
     
     
     1 #include<iostream>
     2 #include<cstring> 
     3 #include<cstdio>
     4 #define ll __int64
     5 using namespace std;
     6 int t;
     7 int n;
     8 ll exm;
     9 int main()
    10 {
    11   int t;
    12   scanf("%d",&t);
    13   for(int i=1;i<=t;i++)
    14   {
    15       scanf("%d",&n);
    16       for(int j=1;j<=n;j++)
    17         scanf("%I64d",&exm);
    18       if(n==1)
    19        printf("%I64d
    ",exm);
    20        else
    21       cout<<"0"<<endl;
    22   } 
    23     return 0;
    24 }
    View Code
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  • 原文地址:https://www.cnblogs.com/hsd-/p/5325586.html
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