fjnu 1532 Jolly Jumpers

本文介绍了一种算法,用于判断输入的整数序列是否符合Jolly Jumper定义。通过计算序列中每对相邻元素之间的绝对差值,并验证这些差值是否包含从1到n-1的所有整数。

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Description

A sequence of n > 0 integers is called a jolly jumper if the absolute values of the difference between successive elements take on all the values 1 through n-1. For instance,

1 4 2 3

is a jolly jumper, because the absolutes differences are 3, 2, and 1 respectively. The definition implies that any sequence of a single integer is a jolly jumper. You are to write a program to determine whether or not each of a number of sequences is a jolly jumper.

Input

Each line of input contains an integer n < 3000 followed by n integers representing the sequence.

Output

For each line of input, generate a line of output saying "Jolly" or "Not jolly".

Sample Input

4 1 4 2 3
5 1 4 2 -1 6

 

Sample Output

Jolly
Not jolly

KEY: 做个数组存放差值,检查;

 

Source:

#include
<iostream>
#include
<stdlib.h>
#include
<algorithm>
using namespace std;

int n;
int c[3000];
int elem[3001];

void input()
{
    
int i;
    
for(i=1;i<=n;i++)
        cin
>>elem[i];
    
for(i=1;i<n;i++)
    
{
        
int t=elem[i]-elem[i+1];
        
if(t<0) t=-t;
        c[i]
=t;
    }

}


int jolly()
{
    
int i,j;
    
for(i=1;i<=n-1;i++)
        
for(j=1;j<=n-1;j++)
            
if(c[i]>c[j])
            
{
                
int t;
                t
=c[i];
                c[i]
=c[j];
                c[j]
=t;
            }

    
int k=1;
    
for(i=n-1;i>0;i--)
        
if(c[k++]!=i) return 0;
    
return 1;
}


int main()
{
//    freopen("fjnu_1532.in","r",stdin);
    while(cin>>n)
    
{
        input();
        
if(jolly()) cout<<"Jolly"<<endl;
        
else cout<<"Not jolly"<<endl;
    }

    
return 0;
}

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