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
肯定有数字没包含。因为1到N-1有N-1个数,而且两两连续相减可减N-1次,两者等额。所以我们把已经出现的数字用b[t]来标记
#include <math.h>
#include <string.h>
int main()
{
int N;
int arr[3500];
int b[3500];
while(scanf("%d",&N)!=EOF)
{
int i,t,flag=1;
memset(b,0, sizeof(b));
for(i=0;i<N;i++)
scanf("%d",&arr[i]);
for(i=0;i<N-1;i++)
{
t=fabs(arr[i]-arr[i+1]);
if(t&&t<N&&!b[t])
b[t]=1;
else
{
flag=0;
printf("Not jolly\n");
break;
}
}
if(flag)
printf("Jolly\n");
}
return 0;
}
本文解析了JollyJumpers算法题目,介绍了如何通过绝对值差判断序列是否为快乐跳跃者,并提供了一段C语言实现代码。
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