POJ 2535 Very Simple Problem

本文介绍了一个用于筛选编程比赛中最简单题目的算法。该算法通过收集评委对每道题目的复杂度评分,然后找出被超过一半评委认为是最简单的题目。文章提供了完整的C语言实现代码。

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http://poj.org/problem?id=2535

Very Simple Problem
Time Limit:2000MS Memory Limit:65536K



Description

During a preparation of programming contest, its jury is usually faced with many difficult tasks. One of them is to select a problem simple enough to most, if not all, contestants to solve.

The difficulty here lies in diverse meanings of the term "simple" amongst the jury members. So, the jury uses the following procedure to reach a consensus: each member weights each proposed problem with a positive integer "complexity rating" (not necessarily different for different problems). The jury member calls "simplest" those problems that he gave the minimum complexity rating, and "hardest" those problems that he gave the maximum complexity rating.

The ratings received from all jury members are then compared, and a problem is declared as "very simple", if it was called as "simplest" by more than a half of the jury, and was called as "hardest" by nobody.

Input

The first line of input file contains integers N and P, the number of jury members and the number of problems. The following N lines contain P integers in range from 0 to 1000 each - the complexity ranks. 1 <= N, P <= 100

Output

Output file must contain an ordered list of problems called as "very simple", separated by spaces. If there are no such problems, output must contain a single integer 0 (zero).

Sample Input

4 4
1 1 1 2
5 900 21 40
10 10 9 10
3 4 3 5

Sample Output

3
/* Author : yan
 * Question : POJ 2535 VerySimple Problem
 * Date && Time : Tuesday, April 26 2011 04:45 PM
 * Compiler : gcc (Ubuntu 4.4.3-4ubuntu5) 4.4.3
*/
#include<stdio.h>
#define MAXSIZE 105
#define MIN 0xFFFF
#define MAX -1
#define bool _Bool
#define TRUE 1
#define FALSE 0
int input[MAXSIZE],count[MAXSIZE];
bool hard[MAXSIZE];

int main()
{
	//freopen("input","r",stdin);
	int n,p;
	int i,j;
	bool flag=FALSE;
	int max,min;
	scanf("%d %d",&n,&p);
	for(i=0;i<n;++i)
	{
		for(j=0;j<p;++j) scanf("%d",&input[j]);
		max=MAX,min=MIN;
		for(j=0;j<p;++j)
		{
			if(max<input[j]) max=input[j];
			if(min>input[j]) min=input[j];
		}
		//printf("MAX=%d MIN=%d/n",max,min);
		for(j=0;j<p;++j)
		{
			//printf("input[%d]=%d  min=%d/n",j,input[j],min);
			if(input[j]==max) hard[j]=TRUE;
			if(input[j]==min) count[j]++;
		}
	}
	for(i=0;i<p;++i)
	{
		if( hard[i]==FALSE && count[i]>n/2 ) printf("%d ",i+1),flag=TRUE;
		//printf("%d ",count[i]);
	}
	if(!flag) printf("0");
	printf("/n");
	return 0;
}

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