hdu 1029 Ignatius and the Princess IV(水题)
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Ignatius and the Princess IV
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
ps:水题,
O(1e6)的解法:
#include<stdio.h>#include<string.h>#include<iostream>#include<string>#include<algorithm>using namespace std;const int maxn=1000010;int vis[maxn];int main(){ int n; while(~scanf("%d",&n)) { memset(vis,0,sizeof(vis)); int x; int ans=-1; for(int i=0;i<n;++i) { scanf("%d",&x); ++vis[x]; } int k=(n+1)/2; for(int i=0;i<=1000000;++i) { if(vis[i]>=k) { ans=i; break; } } printf("%d\n",ans); } return 0;}
O(n)的解法,一种思想吧
由于最终结果出现次数≥(n+1)/2这个特性,所以最终结果的那个cnt最后会>0
代码:
#include<stdio.h>int main(){ int n; while(~scanf("%d",&n)) { int x; int ans,cnt=0; for(int i=0;i<n;++i) { scanf("%d",&x); if(!cnt) { ans=x; ++cnt; } else { if(ans!=x) --cnt; else ++cnt; } } printf("%d\n",ans); } return 0;}
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