Codeforces 839 B. Game of the Rows （贪心）

Description

Daenerys Targaryen has an army consisting of k groups of soldiers, the i-th group contains ai soldiers. She wants to bring her army to the other side of the sea to get the Iron Throne. She has recently bought an airplane to carry her army through the sea. The airplane has n rows, each of them has 8 seats. We call two seats neighbor, if they are in the same row and in seats {1, 2}, {3, 4}, {4, 5}, {5, 6} or {7, 8}.

Daenerys Targaryen wants to place her army in the plane so that there are no two soldiers from different groups sitting on neighboring seats.

Your task is to determine if there is a possible arranging of her army in the airplane such that the condition above is satisfied.

Input

The first line contains two integers n and k (1 ≤ n ≤ 10000, 1 ≤ k ≤ 100) — the number of rows and the number of groups of soldiers, respectively.

The second line contains k integers a1, a2, a3, ..., ak (1 ≤ ai ≤ 10000), where ai denotes the number of soldiers in the i-th group.

It is guaranteed that a1 + a2 + ... + ak ≤ 8·n.

Output

If we can place the soldiers in the airplane print "YES" (without quotes). Otherwise print "NO" (without quotes).

You can choose the case (lower or upper) for each letter arbitrary.

Example input

2 2
5 8


Example output

YES


AC 代码

#include<bits/stdc++.h>
using namespace std;
int n,k;
int a[11000];
int sk[5];
int maxx;
bool solve()
{
for(int i=maxx,j; i>0; i--)
{
while(a[i]--)   // 枚举每一个大小为 i 的集团
{
for(j=4; j>0; j--)  // 枚举座位剩余空间
{
if(sk[j])
{
sk[j]--;
int t=min(i,j);
a[i-t]++;
if(j-t-1>0) // 如果中间位置坐 1 人，可空出一个双人座，如果坐 2 人，可空出单人座
sk[j-t-1]++;
break;
}
}
if(!j)
return false;
}
}
return true;
}

int main()
{
while(cin>>n>>k)
{
memset(sk,0,sizeof(sk));
memset(a,0,sizeof(a));
sk[2]=n*2,sk[4]=n;
maxx=0;
for(int i=0,x; i<k; i++)
{
cin>>x;
a[x]++;
maxx=max(maxx,x);
}
cout<<(solve()?"YES":"NO")<<endl;
}
return 0;
}