HDU5143 NPY and arithmetic progression【暴力】

NPY and arithmetic progression

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1505    Accepted Submission(s): 465

Problem Description

NPY is learning arithmetic progression in his math class. In mathematics, an arithmetic progression (AP) is a sequence of numbers such that the difference between the consecutive terms is constant.(from wikipedia)
He thinks it's easy to understand,and he found a challenging problem from his talented math teacher:
You're given four integers, a1,a2,a3,a4, which are the numbers of 1,2,3,4 you have.Can you divide these numbers into some Arithmetic Progressions,whose lengths are equal to or greater than 3?(i.e.The number of AP can be one)
Attention: You must use every number exactly once.
Can you solve this problem?

Input

The first line contains a integer T — the number of test cases (1≤T≤100000).
The next T lines,each contains 4 integers a1,a2,a3,a4(0≤a1,a2,a3,a4≤109).

Output

For each test case,print "Yes"(without quotes) if the numbers can be divided properly,otherwise print "No"(without quotes).

Sample Input

3
1 2 2 1
1 0 0 0
3 0 0 0

Sample Output

Yes
No
Yes
Hint
In the first case,the numbers can be divided into {1,2,3} and {2,3,4}.
In the second case,the numbers can't be divided properly.
In the third case,the numbers can be divided into {1,1,1}.
 

Source

BestCoder Round #22

问题链接：HDU5143 NPY and arithmetic progression

问题简述：（略）

问题分析：（略）

程序说明：占个位置。

题记：（略）

参考链接：（略）

AC的C++语言程序如下：

/* HDU5143 NPY and arithmetic progression */

#include <iostream>
#include <stdio.h>

using namespace std;

const int N = 4;
int a[N];

bool check(int i, int j, int k, int n)
{
    int v[4] = {a[0] - i - k, a[1] - i - j - k, a[2] - i - j - k, a[3] - j - k};
    for(int i=0; i<n; i++)
        if(v[i] != 0 && v[i] < 3)
            return false;
    return true;
}

bool judge(int n)
{
    for(int i=0; i<n-1; i++)
        for(int j=0; j<n-1; j++)
            for(int k=0; k<n-1; k++)
                if(check(i, j, k, n))
                    return true;
    return false;
}

int main()
{
    int t;

    scanf("%d", &t);
    while(t--) {
        for(int i=0; i<N; i++)
            scanf("%d", &a[i]);

        printf("%s\n", judge(N) ? "Yes" : "No");
    }

    return 0;
}