HDU 1029(鸽巢原理)
2016-12-04 00:05
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Ignatius and the Princess IV
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32767 K (Java/Others)Total Submission(s): 28525 Accepted Submission(s): 12081
Problem Description
"OK, you are not too bad, em... But you can never pass the next test." feng5166 says.
"I will tell you an odd number N, and then N integers. There will be a special integer among them, you have to tell me which integer is the special one after I tell you all the integers." feng5166 says.
"But what is the characteristic of the special integer?" Ignatius asks.
"The integer will appear at least (N+1)/2 times. If you can't find the right integer, I will kill the Princess, and you will be my dinner, too. Hahahaha....." feng5166 says.
Can you find the special integer for Ignatius?
Input
The input contains several test cases. Each test case contains two lines. The first line consists of an odd integer N(1<=N<=999999) which indicate the number of the integers feng5166 will tell our hero. The second line contains the N integers. The input is
terminated by the end of file.
Output
For each test case, you have to output only one line which contains the special number you have found.
Sample Input
5
1 3 2 3 3
11
1 1 1 1 1 5 5 5 5 5 5
7
1 1 1 1 1 1 1
Sample Output
3
5
1解析详见代码:
#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<math.h>
#include<queue>
#include<iostream>
#include<algorithm>
using namespace std;
int main()
{
//利用鸽巢原理
int n;
int a,c,x;
while(~scanf("%d",&n))
{
c=0;
while(n--)
{
scanf("%d",&a);
if(c==0)//每次是零就更新
{
x=a;
c++;
}
else if(a==x) //再次遇到这个数就++
{
c++;
}
else //如果不是这个数就--
{
c--;
}
}
printf("%d\n",x);//因为是(N+1)/2个,所以最后肯定会省一个
}
return 0;
}
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