Problem Statement
We have a sequence of length N, a=(a1,a2,…,aN). Each ai is a positive integer.
Snuke's objective is to permute the element in a so that the following condition is satisfied:
For each 1≤i≤N−1, the product of ai and ai+1 is a multiple of 4.
Determine whether Snuke can achieve his objective.
Constraints
2≤N≤105
ai is an integer.
1≤ai≤109
Input
Input is given from Standard Input in the following format:
N
a1 a2 … aN
Output
If Snuke can achieve his objective, print Yes; otherwise, print No.
Sample Input 1
3
1 10 100
Sample Output 1
Yes
One solution is (1,100,10).
Sample Input 2
4
1 2 3 4
Sample Output 2
No
It is impossible to permute a so that the condition is satisfied.
Sample Input 3
3
1 4 1
Sample Output 3
Yes
The condition is already satisfied initially.
Sample Input 4
2
1 1
Sample Output 4
No
Sample Input 5
6
2 7 1 8 2 8
Sample Output 5
Yes
#include<stdio.h>
int main ()
{
int i,n;
while(scanf("%d",&n)!=EOF)
{
int a=0,b=0,t;
for(i=0;i<n;i++)
{
scanf("%d",&t);
if(t%2==0)
a++;
if(t%4==0)
b++;
// printf("%d %d %d\n",a,b,n);
}
a=a-b;
if((n-a)<=2*b&&a!=0)
printf("Yes\n");
else if((n-a-1)<=2*b&&a==0)
printf("Yes\n");
else
printf("No\n");
}
}
