zoj2132-The Most Frequent Number

http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemCode=2132

The Most Frequent Number

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Time Limit: 5 Seconds      Memory Limit: 1024 KB

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Seven (actually six) problems may be somewhat few for a contest. But I am really unable to devise another problem related to Fantasy Game Series. So I make up an very easy problem as the closing problem for this contest.

Given a sequence of numbers A, for a number X if it has the most instances (elements of the same value as X) in A, then X is called one of the most frequent numbers of A. Now a sequence of numbers A of length L is given, and it is assumed that there is a number X which has more than L / 2 instances in A. Apparently X is the only one most frequent number of A. Could you find out X with a very limited memory?

Input

Input contains multiple test cases. Each test case there is one line, which starts with a number L (1 <= L <= 250000), followed by L numbers (-2^31 ~ 2^31-1). Adjacent numbers is separated by a blank space.

Output

There is one line for each test case, which is the only one most frequent number X.

Sample Input

5 2 1 2 3 2
8 3 3 4 4 4 4 3 4

Sample Output

2
4

思路：题意很简单，求一个数列里出现次数最多的那个数字，这个数字的个数是大于数列长度的1/2的。这里采用O(1)算法，利用大于1/2这个条件。

#include <cstdio>

int main()
{
    int n,ans;
    while(~scanf("%d",&n))
    {
        int m,cnt=0;
        for(int i=0;i<n;i++)
        {
            scanf("%d",&m);
            if(cnt==0)  ans=m,cnt++;
            else if(ans==m) cnt++;
            else    cnt--;
        }
        printf("%d
",ans);
    }
    return 0;
}