ABC 368F Dividing Game

题意
有N堆石头，第i堆的石头的个数为a[i]，Alice和Bob轮流拿取石头，每次拿取某一堆石头后（记拿之前这堆石头的个数为a[i]）可以将该堆石头的个数更改为除了a[i]以为的a[i]的因数。不能操作者输，双方采取最优决策，求问谁会赢

思路
这题没啥好说的，sg打表之后，按照尼姆游戏全部sg值异或起来，不为0则Alice赢，反之Bob赢。

代码

• sg函数打表：

#include<bits/stdc++.h>
#define int long long
#define endl '\n'
using namespace std;
const int maxn=1e5+10;
int sg[maxn];
vector<int>ds[maxn];
bool vis[maxn];

void get_sg()
{
	memset(sg,0,sizeof(sg));
	sg[0]=0;
	sg[1]=0;
	for(int i=2;i<=1e5;i++)
	{
		memset(vis,0,sizeof(vis));
		for(int j=0;j<ds[i].size();j++) vis[sg[ds[i][j]]]=1;
		for(int j=0;j<=maxn-1;j++)
		{
			if(!vis[j])
			{
				sg[i]=j;
				break;
			}
		}
	}
}

signed main()
{
	ios::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);
	
	for(int i=2;i<=maxn-10;i++)
	{
		for(int j=1;j<=sqrt(i);j++)
		{
			if(i%j==0)
			{
				ds[i].push_back(j); 
				if(i/j!=j&&j!=1) ds[i].push_back(i/j);
			}
		}
	}
	/*for(int i=2;i<=10;i++)
	{
		for(auto v:ds[i]) cout<<v<<" ";
		cout<<endl;
	}*/
	get_sg();
	for(int i=0;i<=1e5;i++)
	{
		cout<<sg[i]<<",";
	}
	
	return 0;
}

• AC代码

#include<bits/stdc++.h>
#define int long long
using namespace std;
int sg[]={0,0,1,1,2,1,2,1,3,2,2,1,3,1,2,2,4,1,3,1,3,2,2,1,4,2,2,3,3,1,3,1,5,2,2,2,4,1,2,2,4,1,3,1,3,3,2,1,5,2,3,2,3,1,4,2,4,2,2,1,4,1,2,3,6,2,3,1,3,2,3,1,5,1,2,3,3,2,3,1,5,4,2,1,4,2,2,2,4,1,4,2,3,2,2,2,6,1,3,3,4,1,3,1,4,3,2,1,5,1,3,2,5,1,3,2,3,3,2,2,5,2,2,2,3,3,4,1,7,2,3,1,4,2,2,4,4,1,3,1,4,2,2,2,6,2,2,3,3,1,4,1,4,3,3,2,4,1,2,2,6,2,5,1,3,3,2,1,5,2,3,3,3,1,3,3,5,2,2,1,5,1,3,2,4,2,3,2,3,4,3,1,7,1,2,3,4,1,4,1,5,2,2,2,4,2,2,3,5,2,4,1,3,2,2,2,6,2,2,2,4,2,3,1,6,4,2,1,4,1,3,3,4,1,4,2,3,2,3,1,6,1,3,5,3,3,3,2,4,2,4,1,5,2,2,3,8,1,3,2,4,3,2,1,5,2,3,2,3,1,5,1,5,3,2,3,4,1,2,3,5,1,3,1,3,3,3,2,7,2,3,2,3,1,4,2,4,4,2,2,5,2,2,2,5,2,4,1,4,2,3,1,5,1,2,4,3,1,3,2,7,2,3,2,6,3,2,2,4,2,4,1,3,3,2,2,6,1,3,2,4,2,4,3,4,3,2,1,4,1,4,4,6,1,3,2,3,3,2,1,6,2,2,3,4,2,3,1,5,3,3,2,4,1,3,4,4,2,5,1,4,2,2,1,8,3,2,3,3,1,4,2,5,2,2,2,5,1,2,3,6,1,3,2,3,5,3,2,5,1,3,2,3,2,4,2,6,2,3,1,5,1,2,3,4,3,3,2,3,3,3,1,7,1,3,3,3,2,3,1,5,4,3,1,4,2,2,2,7,1,5,2,3,2,2,3,5,1,2,4,4,1,4,1,5,3,2,1,5,2,3,2,4,2,3,3,4,3,2,1,7,2,2,3,4,2,6,1,4,2,4,1,4,2,3,4,5,2,3,1,5,2,2,1,6,2,3,3,3,1,4,2,9,4,2,2,4,2,3,2,5,1,4,1,3,4,2,2,6,2,3,3,4,2,3,2,4,2,2,3,6,1,2,2,6,2,4,1,3,3,4,2,5,2,2,3,3,1,4,2,6,3,2,1,4,2,2,5,4,1,4,1,4,2,3,3,8,1,3,2,4,2,3,2,4,4,2,1,5,2,3,2,5,1,5,3,3,2,3,1,6,1,3,3,3,3,3,1,6,3,3,2,5,1,2,3,5,1,3,1,4,4,2,2,6,4,2,3,3,2,5,1,4,2,2,2,4,3,3,3,8,1,3,1,4,3,3,1,7,2,4,3,3,1,3,2,5,3,3,1,5,1,2,3,4,3,4,2,3,2,3,2,7,1,2,5,4,1,3,2,5,2,3,1,5,2,4,2,5,2,4,1,3,4,2,2,5,2,2,2,5,1,5,2,7,3,2,2,4,1,3,3,4,2,4,3,3,2,2,1,7,2,3,2,3,3,4,1,5,6,3,2,4,1,2,4,6,2,4,1,4,3,3,1,5,2,2,3,4,2,5,1,5,2,3,2,6,1,2,3,5,1,3,2,3,4,2,2,9,1,4,2,3,1,4,3,4,3,2,2,5,2,3,4,6,2,3,1,3,2,3,2,6,2,2,3,3,1,4,2,7,3,2,2,4,3,3,2,4,1,6,1,4,2,3,2,6,2,2,4,4,1,3,1,4,4,3,1,5,1,3,2,7,3,3,2,4,4,2,1,6,2,2,2,3,3,4,3,5,2,4,2,4,1,3,4,4,1,4,1,4,3,2,1,8,2,2,3,4,2,4,2,4,3,3,4,4,1,2,2,6,1,5,1,4,3,2,1,5,2,3,5,3,2,3,2,8,3,2,2,6,2,3,3,4,2,3,1,3,3,4,1,6,2,2,3,3,2,5,1,5,2,2,2,5,3,2,3,6,1,4,3,3,2,2,3,6,1,3,2,4,1,3,2,5,5,3,1,4,2,4,2,5,1,4,2,3,3,2,2,8,2,3,3,3,2,4,1,5,3,3,1,7,2,2,4,5,1,3,2,5,3,2,1,5,2,3,3,4,2,5,1,6,2,3,2,4,1,2,4,6,3,3,2,3,3,2,2,7,1,3,2,4,1,4,3,4,3,2,1,5,1,3,3,10,3,5,2,3,4,3,1,5,1,3,4,4,2,3,1,6,2,2,2,5,3,2,2,4,1,5,1,3,5,3,2,7,2,3,2,4,1,4,1,5,3,3,2,4,1,3,4,5,2,3,3,3,2,4,2,7,2,2,3,3,3,3,1,7,4,3,1,5,1,2,3,4,1,4,2,5,2,3,1,6,3,3,4,3,1,4,2,4,3,2,2,5,1,3,2,7,2,4,1,3,5,2,3,5,1,3,3,3,2,6,2,5,2,2,2,5,2,2,3,5,2,3,2,4,2,4,1,9,1,2,4,4,2,3,2,5,4,3,1,4,2,3,2,5,2,5,1,3,3,2,3,6,2,3,3,4,1,3,3,6,3,2,1,6,2,4,2,4,1,3,2,4,4,2,2,7,1,2,2,4,2,4,2,4,3,4,2,4,1,2,6,7,1,4,2,4,3,3,1,6,4,2,2,3,1,4,1,6,3,2,3,4,1,2,3,5,2,5,2,3,3,3,2,7,1,5,3,3,2,4,2,4,2,3,1,6,2,2,2,5,3,3,2,3,4,3,2,5,2,4,4,4,1,4,1,9,3,2,1,4,2,2,4,5,1,4,1,4,2,2,3,8,1,3,2,5,1,4,1,4,4,2,1,4,3,3,3,6,2,4,2,4,2,2,1,6,1,2,5,3,3,4,1,5,2,4,3,5,2,3,3,4,2,3,2,4,3,3,2,8,2,2,2,3,2,6,2,5,3,2,2,4,2,3,3,6,1,3,2,4,4,2,1,6,2,3,2,5,1,3,4,6,5,3,2,5,1,2,2,4,2,5,2,3,2,3,2,6,2,3,4,3,2,3,1,6,2,2,2,6,2,3,3,8,1,4,2,3,3,3,2,5,2,2,3,4,3,4,1,5,4,3,1,5,1,4,4,4,1,3,3,3,2,2,1,8,2,3,3,4,3,3,1,4,4,4,1,5,1,2,3,6,2,7,1,4,2,3,3,5,2,2,3,3,2,5,1,7,2,3,3,5,2,2,3,5,1,4,1,4,5,2,1,6,1,3,3,3,1,4,3,5,2,3,1,6,2,2,3,6,3,3,2,4,2,3,1,7,2,2,3,3,2,4,3,6,4,2,1,4,3,3,2,4,2,5,1,3,3,3,2,10,2,2,5,5,2,3,1,4,3,2,3,5,1,4,3,5,1,4,2,3,3,3,1,6,2,3,2,4,2,5,1,7,2,3,1,4,3,2,5,4,2,3,1,4,3,3,1,7,2,3,3,3,2,4,2,4,4,2,3,5,1,3,3,8,1,4,2,3,3,3,1,5,1,4,3,4,1,3,3,5,4,2,1,7,1,2,2,5,4,3,1,4,3,3,2,7,2,3,3,3,1,5,2,5,2,2,2,4,3,2,4,5,2,5,2,4,3,2,2,6,1,2,3,4,2,3,1,8,4,4,1,4,1,3,2,5,2,5,3,3,3,2,2,7,2,3,4,3,2,3,2,4,2,4,2,5,1,4,3,6,1,3,1,5,6,3,2,5,3,2,2,4,1,5,2,5,2,2,4,5,2,2,3,5,1,4,1,3,4,2,2,9,3,3,2,3,1,4,2,5,3,3,2,5,1,3,3,5,2,4,1,4,3,5,2,5,1,2,5,3,2,3,1,7,2,2,2,6,2,2,3,5,2,4,3,3,3,2,3,6,1,3,2,4,2,6,1,4,4,3,1,4,1,3,3,9,2,4,2,3,2,3,2,7,1,3,2,4,3,4,2,5,4,3,1,4,3,2,4,4,2,4,2,5,2,2,1,7,3,3,4,3,2,4,1,4,3,3,2,6,2,2,2,6,2,3,2,3,4,3,1,6,2,4,2,3,2,4,3,7,2,2,3,5,1,4,5,4,2,3,1,3,3,4,1,7,1,2,5,4,1,3,1,5,4,2,2,4,3,3,3,6,1,6,2,4,2,2,2,5,2,3,3,5,1,3,2,6,3,2,1,5,2,3,4,4,1,4,2,3,4,3,2,9,2,3,2,4,4,4,2,4,2,3,1,5,1,2,4,6,2,4,2,4,2,2,2,8,2,3,3,3,1,5,1,6,4,2,3,4,2,3,2,6,2,4,2,3,3,2,2,6,2,3,4,4,1,4,3,5,2,3,1,6,2,2,2,7,2,3,1,4,4,3,2,5,1,2,4,3,1,5,1,7,3,4,1,4,2,3,3,4,3,4,1,3,3,3,3,8,1,2,2,4,2,3,3,5,6,2,1,5,1,4,2,5,2,4,3,3,3,2,1,6,2,2,3,4,2,4,2,11,2,4,2,6,1,3,3,4,3,5,2,4,3,2,1,6,3,2,3,4,1,5,2,5,2,3,3,4,2,2,5,7,1,3,1,3,3,3,1,6,1,4,3,3,3,3,2,5,3,2,1,6,2,2,2,4,2,6,3,4,3,3,1,8,1,3,4,4,2,3,2,5,3,2,2,5,4,2,2,6,1,4,1,4,4,3,3,5,1,2,3,4,1,5,1,6,4,3,2,4,2,4,3,4,1,3,2,5,2,3,2,8,1,3,3,3,2,4,2,4,3,4,2,4,2,2,4,8,2,5,1,4,2,2,2,6,3,2,7,3,2,4,2,5,3,2,2,5,3,3,2,6,2,3,1,4,5,2,1,7,2,4,3,4,1,5,2,4,2,2,2,5,1,3,4,5,3,4,2,3,2,3,2,6,3,2,3,4,1,3,1,8,4,3,1,5,2,2,3,4,2,6,1,3,2,4,3,6,2,2,3,4,3,4,2,4,3,3,1,7,1,3,2,6,1,3,4,3,4,3,2,6,1,3,2,3,2,4,1,6,3,3,2,4,1,3,5,5,1,3,3,5,3,2,3,10,2,2,2,3,1,5,1,5,3,3,2,4,2,3,2,6,2,5,2,4,4,2,2,5,2,3,4,4,1,3,2,6,3,3,1,6,1,2,3,4,3,4,1,3,5,4,1,7,2,3,3,4,1,4,2,5,2,2,2,4,3,4,3,7,2,4,1,3,3,2,4,7,1,3,3,5,1,3,1,5,4,2,3,4,1,3,2,5,1,5,2,3,3,3,1,8,4,2,4,3,3,3,2,5,3,3,1,5,2,3,4,5,1,4,2,5,3,3,1,5,3,2,2,3,2,7,3,8,2,2,2,5,1,3,3,5,1,4,2,4,3,2,1,7,2,5,3,3,2,3,2,4,5,2,1,5,2,2,2,7,3,4,1,3,2,4,2,5,1,2,5,3,1,4,2,6,2,3,2,6,3,3,2,4,2,4,2,4,3,3,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3,4,2,10,2,2,2,4,2,6,2,4,2,3,2,6,2,2,4,8,2,3,2,4,4,2,1,6,1,5,3,3,3,3,2,6,5,2,2,5,2,2,3,5,3,4,2,4,2,4,2,7,2,3,4,4,1,4,1,5,2,2,3,7,4,2,3,7,2,5,3,4,3,3,2,5,2,3,3,4,1,5,2,6,4,3,1,4,1,4,4,4,2,4,4,4,2,2,1,9,2,3,2,3,2,4,3,5,4,3,1,5,1,4,3,5,2,6,1,5,4,2,1,5,3,3,3,5,2,4,1,8,2,3,4,5,2,2,2,6,2,4,2,3,7,3,3,6,2,3,3,4,1,4,2,5,3,3,1,6,1,3,5,6,2,4,2,4,3,5,1,7,3,2,3,3,2,3,1,6,3,2,1,6,3,4,2,5,1,5,2,3,2,2,4,8,1,3,5,4,1,3,2,5,4,3,2,5,2,3,3,7,1,3,2,3,4,2,3,7,2,2,3,3,3,8,2,7,3,3,1,5,2,2,4,4,2,4,2,5,2,3,1,7,3,2,3,3,2,5,2,4,4,4,3,4,2,2,2,12,4,4,1,4,3,3,1,6,2,5,4,4,1,3,3,5,3,3,1,7,2,3,3,4,2,4,1,4,4,4,1,7,1,3,4,4,2,4,2,5,3,3,3,4,4,3,5,5,1,6,2,4,3,2,3,7,2,3,2,5,1,4,1,8,4,2,2,4,3,3,3,4,1,5,2,3,3,4,2,7,1,3,4,4,4,3,2,4,3,3,1,6,1,2,4,7,1,3,3,5,4,2,1,5,2,3,2,4,2,6,2,5,4,3,3,4,1,2,3,6,2,4,2,3,3,3,2,11,1,4,2,3,3,5,4,4,3,2,2,5,2,3,2,6,3,4,3,5,2,3,1,5,2,2,6,4,2,3,1,8,2,3,2,6,2,4,2,4,2,4,2,4,4,3,2,7,2,2,3,4,2,5,2,4,4,3,1,5,1,4,4,7,1,4,2,3,4,3,3,7,2,3,3,4,2,3,2,5,6,5,2,5,1,2,4,4,1,5,1,4,3,2,1,7,4,2,3,3,3,4,2,6,2,2,3,6,1,4,3,6,2,3,2,3,4,4,1,6,2,3,3,4,2,5,2,9,2,3,1,7,1,3,4,5,3,4,3,4,3,3,2,7,1,3,3,4,2,3,2,5,4,2,2,4,3,3,4,7,1,7,1,3,2,3,4,5,2,3,3,5,2,4,2,5,4,2,2,5,3,4,2,4,2,3,2,5,5,2,1,9,2,2,3,4,2,4,1,4,3,4,3,4,2,3,5,5,2,4,2,5,2,4,2,8,3,3,2,3,1,4,3,6,4,2,3,4,1,3,2,6,1,5,2,4,4,2,1,7,2,3,5,4,1,4,3,4,2,2,3,6,3,3,2,8,5,5,1,3,3,3,1,5,4,3,3,3,2,5,1,7,2,3,2,4,2,2,5,6,2,5,1,3,3,3,2,8,1,3,4,5,2,3,1,5,5,2,1,5,2,4,2,6,2,4,4,4,2,3,2,6,2,4,3,3,2,4,1,7,3,3,1,8,3,2,4,5,2,3,2,5,4,2,3,6,2,3,3,3,1,6,1,5,2,3,2,5,2,3,4,7,2,3,1,4,5,3,2,6,1,4,4,3,1,3,3,6,3,4,1,5,2,3,2,5,3,5,2,3,2,5,2,11,1,3,4,3,2,4,3,5,3,2,2,6,2,3,3,5,3,4,1,3,6,2,3,5,2,3,2,6,1,4,2,6,3,2,3,5,1,4,4,5,2,4,3,3,3,2,1,9,2,3,3,4,2,3,2,5,3,4,2,5,2,2,4,8,2,4,2,4,2,3,2,6,3,2,4,3,4,5,1,5,3,2,3,6,1,2,2,5,2,4,2,3,4,4,1,7,2,5,2,3,1,6,3,5,4,3,1,5,1,2,4,6,3,3,1,5,2,3,2,6,2,2,5,3,2,5,3,9,5,2,1,4,3,2,3,4,1,6,1,4,2,3,2,6,2,2,4,5,2,4,1,5,3,4,2,6,1,3,2,7,2,4,3,3,3,3,2,7,2,3,3,3,4,4,3,5,2,3,2,4,3,4,8,4,1,3,1,4,3,2,2,9,3,3,3,5,1,5,2,5,3,2,3,5,1,2,3,6,2,6,2,3,4,2,2,5,2,3,4,4,1,4,3,8,2,3,1,6,2,4,3,4,4,3,1,4,5,4,2,6,1,3,3,3,2,5,2,7,3,2,1,5,3,2,3,9,2,4,4,3,2,2,2,8,2,3,2,5,2,4,2,6,6,3,1,4,2,3,2,5,3,4,2,4,3,2,3,8,2,2,4,4,3,4,1,4,3,5,2,5,2,2,4,5,1,4,1,5,3,2,3,5,2,3,4,3,1,6,1,7,2,4,3,5,3,3,3,5,2,3,1,4,3,3,1,8,2,3,2,4,1,4,3,5,5,3,2,6,2,4,2,6,2,4,2,3,4,4,2,5,1,2,5,4,1,4,1,6,3,3,3,6,4,2,2,5,2,5,1,5,3,3,3,9,3,2,3,4,2,4,2,5,3,2,2,4,1,4,5,6,2,5,3,3,2,3,1,7,1,2,3,3,4,3,2,6,4,3,1,6,1,3,4,5,1,7,2,5,2,2,2,6,2,4,4,3,2,4,3,4,4,3,2,5,1,3,2,9,2,3,2,3,5,3,2,5,2,4,3,3,1,5,2,5,2,3,2,6,3,3,4,5,3,3,2,4,3,3,2,9,2,3,4,4,2,3,1,5,3,4,1,4,3,2,3,6,2,7,1,4,4,3,2,6,1,3,5,4,1,3,2,11,3,3,2,5,2,5,4,4,1,3,4,3,4,2,1,7,2,2,2,5,3,6,1,5,3,3,2,4,2,2,4,6,3,4,1,5,2,2,2,6,4,2,2,4,2,5,1,6,4,2,3,5,1,2,5,5,1,5,3,4,4,3,2,8,1,4,3,3,2,3,2,5,2,2,3,8,2,3,3,5,2,4,2,3,4,4,1,6,1,3,3,4,2,4,2,7,3,4,2,4,2,2,4,6,1,4,2,3,3,4,5,7,2,2,2,4,2,4,1,4,5,2,2,5,2,4,2,8,1,5,3,5,3,3,1,7,2,2,4,3,2,3,3,6,2,4,1,5,2,3,3,4,3,4,2,4,6,2,1,8,3,3,3,3,2,5,3,4,3,2,2,4,1,4,4,7,2,3,1,3,4,3,1,7,2,4,3,4,2,4,3,7,4,3,2,5,2,3,2,4,2,6,1,4,2,4,1,6,3,2,6,4,2,3,2,6,3,2,1,6,2,2,3,6,1,4,1,5,3,3,4,5,1,2,2,6,3,6,1,5,4,3,2,5,2,3,3,4,2,4,4,3,3,3,1,11,2,3,3,4,3,4,1,5,5,3,2,5,2,3,3,6,2,4,2,4,2,3,3,6,2,3,3,3,1,6,1,7,2,3,2,6,3,2,2,6,2,4,2,5,4,2,2,6,2,4,4,4,2,4,3,4,3,3,1,5,2,2,6,7,3,3,1,3,2,4,2,7,1,4,3,4,1,3,2,7,3,2,2,4,3,3,3,4,3,6,2,3,4,2,3,8,1,3,3,5,1,4,2,4,5,2,3,6,2,3,2,5,1,4,3,3,4,4,2,6,2,2,2,4,3,4,2,9,3,4,2,4,2,2,5,5,1,4,2,5,4,5,2,10,2,3,2,3,2,4,2,4,3,3,3,5,1,2,3,7,1,5,2,4,4,2,3,5,1,4,4,4,2,3,2,6,3,2,1,7,1,2,3,6,2,3,2,3,3,3,3,8,3,2,4,4,1,6,1,5,2,2,2,4,4,4,3,5,2,5,1,4,2,2,2,6,3,2,4,4,2,4,1,6,6,3,2,5,2,5,2,5,3,4,2,3,2,2,2,8,2,2,3,4,3,4,3,4,2,4,2,6,2,4,4,10,1,4,1,5,5,3,1,5,2,3,2,4,1,5,2,6,2,2,3,4,2,3,5,6,1,4,3,4,3,2,1,8,3,3,3,3,1,4,3,5,4,3,2,5,1,3,3,5,4,6,1,3,2,5,1,6,1,3,4,4,3,3,1,8,2,3,2,6,3,2,3,4,3,5,2,3,4,2,2,7,2,5,3,4,2,4,1,4,4,3,1,5,3,3,3,7,2,3,5,3,3,2,2,8,2,3,3,3,2,4,1,5,3,4,3,4,2,3,4,4,1,4,2,6,2,3,1,9,2,2,7,4,1,4,2,4,4,4,2,5,2,3,3,6,3,3,1,4,5,3,1,6,2,3,3,4,1,6,4,6,3,3,1,5,1,3,3,4,2,4,2,4,3,4,3,7,1,3,3,5,2,3,1,6,4,2,2,4,2,3,2,8,1,6,1,4,3,2,3,5,3,3,5,4,1,3,2,6,4,3,1,7,2,4,3,4,2,3,2,3,4,3,3,9,2,3,2,3,5,5,1,5,2,3,1,6,2,2,5,5,2,3,3,4,2,2,2,6,4,3,3,4,2,4,2,9,4,3,3,5,1,3,2,6,1,5,1,3,4,3,2,6,1,4,4,4,2,5,2,5,2,2,2,6,2,3,2,7,3,3,2,4,5,4,1,5,1,2,5,3,2,5,2,6,2,3,2,5,2,2,4,4,3,5,2,3,3,2,3,10,1,3,3,6,1,3,4,5,4,2,1,4,1,4,3,5,1,4,2,4,3,3,1,6,3,4,4,4,4,4,2,6,3,3,2,5,2,2,3,5,2,5,2,4,4,3,1,7,3,2,2,3,1,8,2,6,2,3,4,4,1,2,4,9,1,3,1,3,3,4,3,7,2,3,2,4,3,3,3,5,5,2,2,6,2,2,3,4,2,4,2,4,3,4,2,7,2,4,4,3,1,4,2,6,4,2,1,6,2,3,3,6,2,5,1,4,4,3,3,5,2,3,2,5,3,5,2,7,4,2,1,4,2,3,5,5,2,3,2,5,2,3,1,8,1,2,4,3,3,4,2,4,3,6,1,4,1,3,4,6,3,5,3,4,3,2,1,6,3,2,4,3,1,4,2,6,2,4,3,6,1,3,2,5,1,4,2,4,6,2,2,13,1,3,3,4,2,4,2,5,2,4,3,6,1,2,3,5,3,4,2,4,3,3,2,8,2,3,3,3,2,3,2,8,4,3,1,5,4,2,3,5,1,5,3,3,2,3,2,6,3,3,4,4,3,5,1,4,3,2,1,7,2,5,3,7,2,4,3,3,3,3,2,6,2,3,3,4,2,5,2,5,4,3,2,4,1,3,6,6,1,3,1,4,2,3,3,8,2,3,2,4,2,5,1,4,7,2,3,4,4,2,2,7,1,5,2,4,3,2,2,6,1,4,4,4,1,3,3,8,2,3,2,7,1,2,3,4,4,4,3,4,3,4,2,7,1,2,3,3,1,4,2,5,4,2,2,5,3,4,4,6,2,5,1,4,3,3,3,6,1,2,2,5,2,4,3,6,4,3,3,4,2,4,2,4,1,7,3,3,2,3,1,9,2,3,4,3,3,3,1,5,3,3,1,5,3,2,5,6,1,3,2,7,4,4,1,5,3,4,3,4,2,5,1,7,3,2,2,5,1,3,4,5,2,3,2,4,4,2,1,8,3,4,2,4,2,3,3,4,4,2,1,6,1,2,3,10,3,5,1,3,3,4,3,5,1,2,6,4,2,5,2,6,3,3,2,5,3,3,3,4,1,4,2,4,4,2,3,7,1,3,3,5,2,5,1,6,3,4,2,4,1,3,3,5,3,3,3,4,4,2,2,8,1,2,2,4,2,4,2,7,4,4,1,4,1,4,4,5,3,4,1,4,3,2,2,6,4,3,4,5,2,4,2,4,2,2,4,8,1,3,3,7,1,5,2,4,4,2,1,6,3,5,2,3,1,5,2,6,2,2,1,5,2,3,5,4,3,3,2,3,3,4,1,10,3,2,5,3,2,3,2,5,3,3,2,5,3,2,2,6,1,6,4,4,2,3,2,6,1,3,4,5,2,4,1,6,5,2,2,5,2,4,3,5,1,4,2,5,5,2,3,7,1,2,2,3,3,5,3,5,2,4,2,4,3,2,4,7,2,4,1,6,3,3,1,7,2,2,3,3,3,6,2,5,4,3,2,4,1,2,2,6,2,4,1,3,4,3,2,8,2,3,5,4,2,3,4,4,2,2,2,6,1,4,2,6,2,3,2,4,5,3,1,6,2,2,3,4,2,6,1,11,3,3,3,5,3,3,3,4,1,5,2,3,2,3,3,7,2,4,2,4,1,3,1,5,6,4,2,4,1,3,4,6,2,5,3,3,3,4,2,6,1,2,3,5,3,3,2,6,2,4,2,7,1,2,3,4,3,3,3,4,3,3,2,8,3,3,2,3,2,6,2,4,3,3,4,5,2,3,6,7,2,4,2,3,3,3,3,6,1,3,2,4,1,4,2,7,3,2,1,6,3,2,4,4,3,5,1,4,3,3,1,6,2,3,5,3,1,3,1,6,3,4,1,5,4,3,3,8,2,4,2,4,4,3,3,7,2,2,3,4,1,4,3,5,3,2,3,5,2,5,3,4,1,4,2,4,3,4,1,10,2,2,3,4,2,3,1,4,4,3,3,5,1,3,4,5,2,5,1,5,2,2,1,5,4,3,5,4,2,4,2,8,3,3,3,6,2,3,3,7,1,4,1,3,5,3,1,6,1,3,2,3,4,5,3,4,2,3,2,6,2,3,3,7,3,4,2,3,3,3,2,6,1,5,4,3,1,4,3,6,6,2,1,4,2,3,2,5,1,6,2,4,3,3,3,10,2,2,3,4,2,4,1,5,4,3,2,7,2,3,2,6,2,3,3,4,3,3,3,6,2,3,4,3,2,4,2,6,2,5,3,4,1,2,5,4,2,4,1,5,3,2,1,8,2,2,3,4,1,5,2,5,4,3,3,4,2,3,2,8,1,9,2,4,6,2,1,5,2,4,3,5,2,4,3,5,3,2,2,6,2,2,3,5,3,4,1,4,4,4,1,7,2,2,3,5,2,5,1,6,3,2,1,4,2,3,5,5,2,4,1,4,2,3,4,7,1,3,3,4,3,5,1,8,4,3,1,5,3,3,2,5,2,4,4,3,3,2,2,8,2,4,5,3,3,4,2,5,4,3,2,5,2,2,3,7,1,3,1,4,4,3,2,6,4,3,2,3,1,7,2,5,3,3,2,4,3,2,3,5,1,3,3,5,3,3,2,9,1,5,3,3,2,4,3,4,4,3,1,6,2,3,2,5,3,5,1,4,2,3,2,6,2,2,5,3,3,3,3,7,3,3,2,7,2,4,3,5,2,4,1,3,4,4,2,6,1,3,4,6,2,4,2,4,3,2,2,4,1,5,5,11,1,4,2,3,3,2,2,7,3,2,2,3,4,3,1,7,3,4,1,5,2,3,4,4,1,6,1,5,2,3,2,7,3,2,3,4,2,5,3,4,2,3,2,6,3,2,3,6,2,4,3,4,7,3,1,5,2,4,2,3,2,4,4,8,5,2,2,5,1,2,3,5,2,4,2,3,2,4,2,8,2,3,4,4,1,5,1,6,3,2,2,4,3,2,3,6,3,5,1,4,3,3,2,6,1,2,5,5,1,3,2,5,4,4,2,5,2,4,4,5,3,3,2,3,3,2,2,10,1,4,2,3,2,6,3,5,2,4,1,5,2,4,5,6,1,3,2,4,3,3,1,7,2,2,3,5,1,4,2,6,4,2,5,4,1,3,2,5,3,5,2,3,4,3,1,6,3,4,3,3,2,4,2,5,3,3,1,8,2,3,3,7,3,3,2,4,4,4,2,5,1,3,4,4,2,4,2,7,2,2,1,6,3,2,5,5,2,5,2,4,3,3,2,8,1,3,2,4,2,4,2,4,5,3,3,4,2,4,2,7,1,5,2,3,2,2,3,6,2,2,4,3,2,5,1,9,2,4,2,6,3,3,4,4,1,4,2,5,4,2,3,6,4,2,3,4,2,5,1,4,3,3,2,5,1,3,3,8,3,3,2,4,3,2,2,9,2,3,3,4,1,3,3,6,4,3,1,5,2,4,3,5,4,4,1,3,4,4,2,8,1,3,5,4,2,3,2,6,2,3,2,5,2,2,2,5,1,6,3,3,4,2,2,5,2,2,3,4,2,6,2,7,3,2,2,5,1,3,5,4,3,4,3,4,3,3,1,8,1,2,2,4,4,3,1,5,6,4,1,5,1,3,4,8,1,4,3,5,2,4,2,5,2,4,3,4,1,4,1,5,3,2,3,6,3,4,3,7,1,3,1,4,5,2,3,8,1,3,3,3,2,5,3,5,3,2,2,5,3,2,4,5,2,4,2,4,2,6,1,6,2,4,4,4,1,3,1,8,4,3,1,5,2,2,3,4,3,7,2,4,2,3,4,7,2,3,3,5,1,3,3,4,3,3,2,5,1,4,2,6,2,5,3,3,5,2,1,7,2,3,3,5,3,5,1,5,2,3,2,4,2,2,4,5,2,5,2,4,3,2,2,12,4,3,3,3,1,4,1,6,4,2,2,4,2,4,3,6,1,4,2,3,4,4,2,5,2,4,7,3,2,3,3,6,3,4,1,7,2,3,2,4,3,3,3,3,4,4,3,7,1,3,5,3,1,5,1,5,3,3,1,5,2,3,3,8,3,4,2,4,3,2,3,6,2,2,3,5,1,4,1,6,5,3,1,5,2,4,2,5,1,4,4,5,2,2,2,8,1,2,5,4,3,4,2,4,2,4,1,7,1,2,3,6,3,4,2,5,3,2,2,6,2,3,2,4,3,6,2,8,2,2,2,4,2,3,5,5,2,4,1,3,5,2,1,7,2,4,2,4,2,4,4,4,3,3,2,5,3,2,3,7,2,6,2,4,2,3,2,6,2,2,4,3,1,3,1,8,3,2,3,5,2,3,4,5,1,4,1,4,5,5,2,8,2,3,2,4,2,5,2,4,5,2,3,5,1,4,3,5,1,3,3,5,2,2,2,8,2,4,3,3,3,3,2,6,4,4,1,4,3,2,3,5,1,5,2,5,3,3,4,6,3,3,4,3,2,5,1,4,2,3,3,6,2,2,4,10,1,3,1,4,4,2,1,5,2,3,4,4,2,7,2,5,3,4,2,6,2,3,3,5,4,3,1,3,2,4,2,9,2,2,3,3,2,4,2,5,4,3,2,5,4,3,3,5,2,5,2,3,3,3,3,6,2,2,3,5,2,3,1,8,4,3,3,6,1,4,3,5,1,4,3,3,5,2,1,7,4,3,2,3,2,4,2,6,2,4,2,4,1,3,7,6,1,4,2,4,3,3,2,6,2,3,2,3,2,5,2,5,4,3,3,6,1,3,2,6,2,5,2,4,3,2,1,9,2,5,3,5,2,4,2,4,3,2,2,6,1,3,3,6,3,3,2,3,5,3,3,5,2,3,4,3,2,5,2,7,3,2,1,4,4,3,3,5,1,6,1,4,2,2,2,9,2,2,4,5,2,3,2,4,4,3,2,5,2,3,3,7,2,5,3,4,2,4,2,7,1,3,5,3,2,3,3,6,3,3,2,5,1,3,3,4,3,3,2,6,4,2,1,7,2,3,3,5,2,6,2,4,3,3,3,4,2,2,4,6,1,5,1,3,4,4,1,6,3,3,3,3,2,3,3,12,6,3,2,5,1,3,3,5,3,4,1,4,2,5,2,7,2,2,5,4,3,3,2,5,2,3,2,7,4,3,2,6,1,4,2,3,3,2,5,5,2,4,2,4,2,5,2,6,4,2,1,5,1,3,5,5,2,3,2,4,2,3,4,10,1,3,2,4,3,6,1,4,3,4,1,4,3,2,4,6,2,6,1,5,4,2,1,5,3,2,4,3,2,5,1,7,3,3,2,5,1,2,2,6,2,4,3,4,5,3,1,7,1,5,2,3,2,5,4,5,3,2,2,5,1,3,3,8,3,3,3,3,4,3,2,7,2,2,4,5,2,4,1,6,3,3,2,5,2,2,3,4,1,6,2,3,2,2,3,7,3,3,5,6,2,3,1,6,3,2,2,6,2,3,3,5,2,4,2,4,3,4,1,7,2,3,3,3,4,5,2,7,3,3,2,5,1,4,5,5,1,3,3,4,3,3,1,7,2,3,3,3,1,5,1,5,6,3,3,4,1,3,3,8,1,4,1,4,3,2,2,5,2,4,3,3,3,4,4,5,3,3,2,9,2,3,2,4,2,5,2,4,3,3,1,10,1,2,4,4,2,4,2,6,3,4,2,4,3,3,4,6,2,4,2,4,2,2,3,7,2,2,3,5,1,3,2,6,6,3,1,5,1,5,2,5,1,5,2,3,4,3,1,7,4,2,3,4,3,3,2,4,3,4,4,6,1,3,3,7,1,4,2,4,5,2,3,6,3,2,2,4,1,5,2,6,3,4,3,4,2,3,4,5,2,3,1,3,4,3,2,9,2,4,3,3,2,4,2,5,4,2,1,7,2,2,4,5,3,5,3,3,2,3,2,5,1,3,5,4,1,4,2,9,3,3,1,5,4,3,2,5,3,4,1,4,3,3,3,6,1,2,4,5,1,7,2,5,3,3,1,4,4,5,4,6,1,3,3,5,2,3,1,7,2,4,4,3,2,4,1,6,4,4,1,4,3,3,4,4,2,4,1,4,3,3,1,9,2,2,4,3,2,5,2,5,2,3,3,6,1,4,2,7,3,3,2,3,5,3,3,5,2,3,2,5,1,4,2,6,3,3,3,6,1,2,6,5,3,4,1,4,2,3,1,7,3,2,4,3,2,3,3,6,4,3,1,4,2,3,4,10,2,7,1,4,2,3,2,5,2,4,4,4,3,3,2,5,3,2,1,6,1,3,2,6,2,4,5,3,5,3,1,8,2,3,4,4,3,4,1,4,3,3,1,5,2,3,4,7,1,4,2,5,2,2,2,8,3,3,2,3,2,5,3,7,3,2,3,5,2,2,2,5,2,4,1,5,4,3,3,6,1,3,5,3,2,4,3,4,3,4,1,6,2,3,3,6,4,4,1,4,4,5,1,6,2,2,3,3,1,5,2,7,2,2,2,5,3,3,3,4,1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5,3,4,1,4,4,3,1,9,2,2,4,4,1,4,3,6,2,2,1,5,3,3,4,5,1,5,1,3,5,2,2,10,1,3,3,7,3,3,2,6,4,2,3,4,1,4,3,5,2,5,3,4,2,3,1,7,2,2,5,4,3,4,2,5,2,3,2,5,2,3,4,8,3,4,1,4,3,4,2,6,4,3,2,4,3,7,1,5,2,3,2,6,2,2,3,5,2,3,3,3,3,2,2,8,1,4,2,4,1,4,4,6,6,4,1,5,1,3,2,6,2,4,2,3,4,3,3,5,2,3,5,4,1,4,1,9,2,3,2,6,3,2,2,5,1,4,2,5,4,2,3,6,2,3,3,4,2,5,1,4,5,3,1,5,3,4,4,7,3,3,2,3,2,2,2,8,3,2,2,4,2,4,2,5,4,4,2,4,2,4,4,4,1,6,1,4,4,2,2,10,2,4,4,4,1,5,2,5,3,2,4,5,2,2,3,7,1,4,1,3,5,3,2,6,4,4,2,3,2,4,2,7,3,2,2,6,2,3,4,4,2,4,1,4,2,5,2,8,1,3,3,4,2,3,3,5,4,2,2,5,3,2,3,7,1,5,3,5,3,2,2,5,1,4,6,4,2,3,2,5,5,3,1,6,1,5,3,5,2,4,3,4,3,3,3,8,1,3,3,3,4,6,2,4,2,3,2,4,2,2,5,6,2,3,2,5,2,3,1,7,2,2,5,3,1,4,1,8,4,4,2,4,3,3,3,6,2,5,2,3,3,3,1,7,2,4,3,4,2,3,3,5,2,3,2,8,2,4,3,6,4,3,1,3,4,3,2,5,2,3,4,6,1,4,1,6,3,3,2,4,3,2,4,5,2,6,1,3,3,3,2,9,2,2,2,5,2,4,1,6,4,2,2,4,2,3,4,5,2,5,5,4,3,3,2,6,1,2,3,4,4,4,2,7,3,3,1,6,2,3,3,4,2,4,2,5,6,2,1,6,2,3,3,5,1,5,1,4,3,4,2,4,3,4,4,11,1,4,1,3,4,2,3,7,1,4,3,3,2,5,3,6,3,2,1,6,3,2,2,4,3,4,2,4,3,4,2,8,2,3,6,4,1,4,1,5,2,3,3,5,2,3,3,5,3,4,1,3,3,4,3,6,1,3,3,5,1,7,3,7,4,4,1,4,1,4,3,5,2,3,3,4,3,2,2,9,2,2,3,4,3,3,2,4,5,3,3,5,1,2,3,6,2,6,2,5,2,2,2,5,4,2,3,3,3,4,3,7,2,3,2,6,2,3,3,6,1,4,1,4,4,3,1,9,1,5,3,3,2,5,3,5,3,2,1,6,1,3,5,5,2,3,3,3,3,4,2,6,3,3,4,3,1,4,2,7,5,2,3,5,2,2,2,6,1,6,2,3,3,3,4,7,1,2,3,5,2,4,2,5,4,3,2,5,3,3,2,7,2,3,2,4,5,2,1,6,1,4,3,4,5,5,1,6,2,5,1,4,1,2,5,4,2,3,3,4,2,3,1,10,3,3,3,4,1,6,2,4,3,3,2,5,2,3,2,6,3,4,2,4,4,3,2,5,1,4,4,5,2,4,3,9,3,3,4,6,1,2,4,4,2,4,2,3,4,4,1,6,3,3,3,3,2,5,1,7,2,3,2,5,3,2,5,6,2,4,1,4,3,3,2,7,1,2,2,4,3,3,1,6,8,3,2,6,1,3,3,5,1,4,3,4,2,3,3,9,3,3,3,3,3,3,2,4,4,5,1,7,1,2,3,6,1,4,3,5,3,3,2,5,3,2,2,3,1,6,3,6,2,2,4,4,3,4,4,5,2,4,2,4,4,3,1,7,1,4,4,4,2,3,2,4,4,3,2,6,1,2,2,9,3,6,1,4,3,3,1,6,1,2,5,4,2,4,2,6,3,2,2,5,3,5,3,5,1,5,2,3,5,3,3,7,2,3,2,5,1,4,3,4,3,2,2,5,2,4,3,6,1,5,2,4,3,3,2,8,3,2,2,3,2,3,1,8,4,4,1,4,2,2,6,4,3,4,1,4,3,4,2,6,2,3,5,3,3,4,2,6,2,3,3,6,1,2,2,8,1,3,3,4,4,2,2,6,2,4,4,3,1,6,3,5,3,2,2,5,3,3,4,6,4,4,1,4,2,4,2,13,1,3,3,4,2,4,1,5,4,2,1,5,4,3,4,5,2,6,1,4,2,2,2,5,1,3,4,5,1,4,2,6,3,3,2,8,3,3,3,4,4,3,3,4,3,2,2,8,1,2,3,3,2,5,3,4,2,4,3,5,1,3,5,8,2,3,2,6,3,4,1,6,2,3,3,4,2,4,2,6,5,2,4,4,1,3,2,5,1,7,1,4,5,3,2,7,2,4,4,4,2,3,3,5,3,4,1,6,1,3,3,6,2,4,2,3,5,5,2,5,1,2,3,3,3,4,2,9,3,2,2,6,3,2,3,5,2,4,3,3,3,3,3,8,2,3,3,4,2,4,1,5,5,2,1,4,2,5,2,7,1,4,2,3,2,3,2,7,3,3,5,3,3,4,2,5,2,3,2,6,2,3,4,5,1,4,2,6,3,2,2,8,4,3,3,3,2,7,2,5,2,5,2,4,1,2,4,6,2,4,2,4,4,2,2,7,2,4,2,3,2,3,4,7,4,3,2,5,1,4,2,4,2,5,2,4,4,3,1,6,2,2,5,5,2,4,1,5,3,2,3,6,3,2,2,9,2,5,1,3,4,3,2,6,2,2,3,6,1,4,2,6,4,3,2,4,2,3,7,4,1,3,3,3,3,4,1,9,2,4,3,4,4,3,2,4,3,3,1,5,3,4,3,5,2,5,2,4,2,2,1,6,3,4,3,4,1,7,2,7,4,2,4,5,1,3,4,6,2,4,2,3,5,3,3,7,2,3,2,5,1,5,3,4,3,3,2,5,2,2,3,6,4,4,1,5,2,3,3,8,1,2,4,4,1,4,2,7,3,4,1,4,2,2,2,4,2,6,2,3,2,3,3,10,2,3,5,4,3,3,2,5,4,2,2,5,2,4,2,6,2,4,2,4,5,2,1,6,2,2,3,4,2,5,2,7,3,5,2,4,2,3,4,4,2,4,1,5,2,2,2,7,5,2,3,4,1,5,2,5,5,2,4,6,2,2,4,8,2,4,2,3,3,4,3,5,2,3,3,3,2,4,2,5,2,3,1,8,2,3,2,5,3,4,3,4,4,4,1,7,1,4,4,3,1,4,1,6,4,2,2,5,3,2,4,7,2,4,2,3,2,2,3,6,2,3,3,4,3,5,2,10,4,2,1,4,2,4,2,5,2,8,3,4,3,2,1,7,2,3,5,4,2,4,2,4,2,4,2,6,1,3,5,6,2,3,1,5,5,2,2,6,2,3,2,4,2,5,2,5,3,2,3,4,3,4,3,7,1,3,2,3,4,4,2,10,1,3,2,5,1,3,2,4,3,3,4,5,2,2,3,6,3,5,2,4,2,4,1,6,2,3,6,3,1,4,2,8,3,2,2,6,3,3,3,4,2,5,1,4,4,3,3,6,3,3,2,4,3,5,2,4,4,2,2,5,1,3,4,8,1,5,4,4,2,2,1,7,1,4,2,4,3,3,1,5,5,4,2,5,2,2,4,6,3,4,2,5,2,2,2,7,2,3,4,4,2,6,2,4,3,3,2,7,2,4,2,6,1,3,2,4,6,3,2,5,3,3,3,3,3,4,3,8,2,3,1,6,1,3,4,4,3,3,2,3,3,4,2,8,2,3,3,3,1,4,4,5,3,4,1,4,2,4,2,6,2,6,2,3,4,2,4,6,2,3,3,5,1,4,1,6,3,3,2,6,2,4,2,4,2,4,3,3,6,3,2,11,3,2,3,3,3,5,1,7,3,4,1,4,1,3,5,5,2,3,1,5,3,3,2,7,3,2,4,5,3,4,1,6,3,3,2,5,1,2,4,6,2,4,2,4,3,2,2,6,1,6,5,3,2,3,2,5,4,2,1,6,3,2,2,8,2,5,1,3,3,4,2,6,1,3,4,4,2,7,2,6,2,3,2,4,4,2,3,4,1,4,2,5,3,3,3,8,2,2,3,5,1,3,2,5,6,4,2,4,1,3,3,6,3,5,2,4,3,3,1,7,2,2,4,3,3,3,3,8,3,3,2,6,1,3,3,4,2,4,2,4,4,3,3,7,3,3,2,4,2,6,2,5,2,2,4,4,2,2,5,8,2,4,3,4,3,3,2,6,2,4,3,4,1,3,5,6,3,2,1,6,1,3,4,4,2,5,1,4,3,4,1,8,3,2,4,4,3,4,2,6,3,3,1,7,2,3,2,5,2,4,3,4,4,3,3,5,1,4,2,4,1,5,1,6,5,3,1,4,1,4,4,5,1,4,4,4,4,2,2,10,1,2,2,3,2,4,1,6,3,4,2,4,3,3,3,11,1,5,3,5,3,3,1,5,3,2,5,4,1,5,1,5,2,4,4,5,1,2,3,5,4,4,1,3,4,2,2,8,1,3,3,4,2,6,3,4,3,2,3,7,1,4,4,6,3,3,1,3,3,3,2,6,3,3,3,5,2,3,2,8,5,3,2,4,4,3,3,4,2,6,1,4,3,2,2,7,2,2,4,4,1,3,1,5,3,3,2,6,2,5,5,7,1,3,2,3,4,4,1,6,2,2,2,4,4,4,2,5,3,4,1,5,3,2,6,4,1,4,2,5,3,2,1,10,2,3,2,4,2,4,3,5,4,3,2,5,1,3,3,8,2,7,1,5,3,2,2,6,1,4,3,3,2,4,2,6,3,3,2,6,2,2,3,5,4,3,2,4,4,4,2,6,2,2,5,3,2,4,2,5,2,4,2,4,2,4,4,7,3,5,2,5,2,3,2,8,2,2,2,4,1,4,3,5,5,2,2,5,3,4,3,4,2,4,3,3,3,2,2,8,1,3,9,5,3,4,1,5,2,4,3,5,2,3,4,5,1,5,1,5,4,2,3,5,3,3,2,4,1,6,2,10,2,2,2,5,1,2,4,6,3,4,3,3,4,3,1,7,2,3,2,3,2,5,2,4,5,3,1,6,2,2,2,6,3,4,4,3,3,5,1,5,1,4,4,4,2,4,1,7,3,3,1,7,3,2,3,5,2,4,2,3,5,2,4,8,1,4,3,5,2,5,2,4,3,3,2,5,3,3,4,5,1,3,3,5,2,3,2,8,1,2,4,3,3,3,2,6,4,4,2,5,1,2,3,4,3,5,1,4,2,4,2,7,4,3,3,3,2,4,2,5,3,3,2,6,2,4,3,9,1,3,1,5,7,2,2,5,2,4,3,4,1,4,4,6,2,2,2,5,1,2,3,5,3,5,1,3,3,3,2,9,3,3,5,3,3,3,2,6,4,2,2,4,3,3,3,6,1,6,1,3,3,5,3,5,2,2,5,5,2,4,2,7,3,3,2,6,2,4,2,5,1,3,3,4,3,3,1,7,2,3,3,4,3,7,1,5,4,3,2,5,2,2,4,7,1,3,2,4,4,4,4,6,2,2,3,3,1,6,2,6,4,3,3,4,2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3,2,3,8,2,4,2,4,1,3,4,4,4,2,2,10,2,3,3,4,2,5,1,4,4,4,1,4,3,2,6,6,1,4,1,4,3,2,3,6,3,4,2,3,1,6,2,7,3,2,2,4,2,3,3,8,2,5,2,5,3,2,2,6,2,4,4,5,1,4,2,5,3,3,2,6,2,2,3,8,5,4,2,3,6,3,1,6,1,2,3,4,1,5,4,6,3,3,2,4,2,3,5,5,2,5,3,3,3,2,2,9,1,4,2,5,2,3,2,5,4,3,2,4,3,4,3,5,1,5,4,3,3,2,2,7,2,2,4,3,3,4,1,11,2,4,2,6,2,2,4,4,1,4,2,5,3,4,2,6,2,2,2,3,3,7,1,5,3,3,2,6,1,3,3,7,1,4,3,4,5,3,1,6,2,4,2,4,2,4,3,5,6,2,2,5,2,3,4,5,3,5,1,3,3,4,2,8,1,2,5,4,2,4,2,6,2,3,1,6,3,2,2,7,1,4,1,5,3,3,4,5,2,2,4,4,3,4,1,6,4,4,2,4,1,4,5,5,3,5,2,3,3,3,2,9,3,2,3,3,3,3,3,5,3,3,2,5,2,3,4,8,2,5,1,5,3,2,2,5,3,2,3,5,1,5,2,6,3,4,4,5,1,2,3,5,2,4,1,3,6,3,1,7,2,5,3,4,1,5,2,6,2,3,3,5,1,3,4,5,3,3,2,3,2,5,2,9,2,2,4,4,3,4,2,8,4,2,2,6,3,3,2,5,4,5,2,3,2,2,2,7,2,4,4,6,1,3,1,4,4,2,1,6,1,3,4,7,2,3,3,3,4,2,2,6,1,3,3,4,3,6,3,5,2,4,2,4,4,3,4,4,2,4,1,5,2,2,1,11,3,4,4,3,1,6,2,4,5,3,3,4,1,3,3,6,2,4,2,4,4,3,1,6,2,4,3,3,1,3,5,7,3,2,2,7,2,5,2,5,2,3,2,4,5,3,1,7,2,2,3,4,2,5,2,6,2,3,3,5,2,2,4,7,1,6,1,3,3,3,4,6,2,3,3,5,2,4,1,6,5,2,2,5,2,3,4,6,2,6,2,3,3,4,1,8,3,2,4,3,3,3,1,4,3,4,2,6,1,4,3,6,1,3,2,5,5,3,1,5,3,4,3,3,1,5,1,8,3,3,3,5,2,2,4,7,2,4,2,4,3,2,3,8,2,3,3,3,3,4,2,4,3,4,2,7,2,3,2,6,2,5,2,4,3,3,2,5,2,2,8,3,3,3,3,7,3,3,1,5,3,2,3,4,3,5,3,4,3,3,2,9,1,3,2,4,1,6,3,5,4,3,2,4,2,5,4,5,3,3,3,3,3,3,2,7,1,2,2,5,2,3,2,7,4,3,3,4,2,3,5,5,1,6,1,4,2,2,1,7,4,3,3,3,1,4,2,5,3,3,2,7,3,2,4,12,1,4,1,4,4,4,2,6,1,4,2,4,2,4,3,5,2,2,3,6,1,3,5,4,5,3,3,4,2,4,3,8,1,3,3,5,2,3,1,5,5,2,1,4,3,2,3,6,2,7,2,5,3,3,3,5,1,2,3,4,2,5,2,7,4,3,1,6,3,4,3,4,1,4,4,5,5,3,1,7,2,2,3,3,3,4,2,6,2,4,2,4,1,3,4,7,2,3,2,5,3,3,1,8,3,2,4,3,2,4,2,5,3,4,3,4,1,4,2,5,3,4,2,4,6,3,2,9,2,4,4,4,1,3,2,4,3,3,2,7,1,3,2,5,3,4,1,4,3,5,2,6,3,3,4,4,2,7,1,8,3,3,1,5,2,3,4,4,2,4,1,4,4,4,3,7,2,2,3,4,3,3,3,5,5,2,2,5,3,3,2,8,1,4,4,3,2,2,1,7,1,4,4,3,3,5,2,5,3,4,2,6,2,2,3,5,2,4,1,4,4,2,4,7,3,3,2,4,2,6,2,4,3,2,2,4,2,2,6,7,1,4,2,5,3,2,1,6,1,5,3,4,2,4,2,9,5,3,2,5,2,3,3,5,3,5,1,4,2,4,2,8,1,3,6,3,2,4,2,5,2,2,3,5,3,4,2,6,1,4,2,3,5,4,2,6,3,3,3,6,2,4,1,5,4,2,2,5,2,3,3,5,1,4,3,5,3,2,1,11,4,3,2,3,4,4,2,5,4,3,1,4,1,2,5,5,2,5,1,4,2,4,1,6,2,2,5,4,3,5,1,6,3,3,3,6,2,2,3,6,2,3,2,3,4,2,2,6,1,5,3,4,2,6,3,5,3,3,2,5,1,3,3,9,2,4,2,4,2,4,3,7,3,3,3,4,1,4,1,8,6,2,1,5,3,2,2,4,2,6,3,4,4,2,4,7,1,2,5,4,1,3,2,4,4,5,2,6,1,4,2,5,2,3,3,4,4,3,2,7,1,3,2,4,2,4,3,8,3,4,2,5,1,3,5,4,2,4,3,4,4,3,2,7,3,2,2,6,2,5,3,4,3,2,4,5,2,4,2,7,2,7,1,3,4,2,2,5,2,3,4,4,2,3,3,6,2,2,1,7,2,3,4,5,3,4,1,4,4,4,1,11,1,3,3,3,4,4,1,5,2,3,2,5,5,2,3,6,3,5,2,4,3,3,2,8,2,3,2,4,1,3,2,7,5,3,2,4,2,4,3,5,1,4,2,4,2,4,3,7,1,3,6,4,2,5,2,4,4,3,1,5,2,3,4,7,1,3,2,6,3,4,1,5,2,2,4,3,1,6,2,5,2,3,4,5,3,2,4,6,3,4,1,3,3,2,2,9,1,3,2,3,2,4,4,5,4,2,2,6,2,3,2,6,3,5,1,4,3,4,2,5,2,3,5,4,1,3,2,9,2,2,3,10,3,3,3,5,1,7,1,3,3,2,3,6,4,3,2,5,1,4,1,6,4,3,1,5,2,4,5,6,3,4,3,3,3,3,2,7,2,3,2,3,3,4,2,6,4,4,2,5,1,2,3,5,1,5,4,5,3,2,2,8,2,3,4,3,1,4,2,6,4,3,3,6,1,2,3,7,1,4,2,3,7,2,2,5,2,3,3,4,2,6,3,6,2,3,1,5,3,2,3,5,3,3,1,4,2,5,2,8,3,2,4,4,1,4,2,5,4,4,2,6,2,2,4,9,2,5,1,4,3,2,4,6,2,4,4,4,3,3,2,6,3,3,1,5,2,5,3,4,1,4,2,3,4,3,1,9,2,3,3,5,2,6,1,4,2,4,5,5,2,3,4,6,1,5,2,4,2,3,1,6,4,3,3,3,3,4,1,8,5,2,3,4,1,2,3,5,2,5,2,4,4,3,2,7,1,5,3,4,2,3,4,4,2,2,1,8,2,3,2,6,3,4,3,4,4,3,2,5,2,4,4,3,3,4,1,6,4,2,2,4,2,4,6,6,1,4,2,4,2,3,3,10,1,2,4,6,1,4,2,4,5,3,2,5,3,4,2,5,1,5,2,4,2,2,2,7,2,3,4,4,3,3,2,6,3,4,2,6,3,2,4,5,3,3,1,4,4,3,3,7,2,3,2,3,2,6,2,4,3,4,3,4,1,4,4,8,1,4,2,4,5,3,2,8,2,3,3,5,1,4,3,6,3,3,2,5,2,2,2,4,3,5,2,5,2,3,1,7,3,2,5,4,1,5,2,7,2,3,2,5,3,3,4,5,3,4,3,3,3,3,2,5,2,2,3,6,2,6,2,12,5,2,1,5,2,3,4,4,1,4,3,3,3,3,2,8,1,4,3,3,3,3,1,4,6,5,2,4,2,2,3,8,3,4,2,5,2,2,3,6,2,3,3,4,1,5,2,5,3,2,4,7,3,2,2,6,1,3,1,4,4,3,1,8,2,4,4,3,1,4,3,5,3,3,1,6,1,4,5,5,4,3,2,4,3,3,1,7,1,4,4,3,1,4,3,7,3,3,1,5,3,4,3,5,1,8,1,4,4,2,2,6,1,3,3,5,4,3,2,4,3,3,2,5,2,5,3,9,2,6,2,3,4,3,1,6,2,2,3,3,3,4,3,6,2,3,2,5,2,3,6,4,1,3,2,5,3,3,1,9,3,3,2,4,3,5,2,5,4,2,3,6,2,2,2,7,1,4,3,3,3,3,2,5,3,4,5,3,1,4,3,7,3,4,2,6,1,2,2,5,4,4,2,4,4,3,2,7,1,2,3,3,2,6,1,6,3,2,2,4,4,3,4,6,1,5,2,5,2,3,3,6,2,3,3,5,1,5,1,6,5,4,2,4,2,3,4,4,3,4,5,3,4,3,1,11,1,2,4,5,3,3,3,4,2,3,1,7,1,4,4,6,2,3,2,5,5,2,1,6,2,3,2,5,2,6,2,7,2,2,3,4,2,3,4,5,1,4,3,4,4,2,1,8,2,3,3,3,2,4,2,6,4,2,3,5,2,3,3,7,3,5,1,3,3,6,1,5,1,2,4,4,2,3,1,6,4,4,2,6,2,3,3,4,2,5,2,4,7,2,4,7,2,4,4,5,1,4,3,4,4,3,1,5,2,3,3,6,1,4,2,4,2,2,4,9,3,3,2,4,3,4,2,8,3,4,1,4,3,3,3,5,1,5,2,5,2,3,2,6,4,2,6,4,2,5,1,5,2,3,2,5,2,3,2,8,2,3,1,3,4,2,3,7,2,4,3,3,2,6,3,6,3,3,1,6,1,3,4,5,2,4,1,4,3,3,3,9,1,2,5,4,1,3,2,5,5,3,3,5,2,3,2,5,2,6,1,4,3,4,2,5,4,3,3,5,2,3,1,8,4,2,1,6,1,3,3,4,2,3,4,3,4,4,2,7,2,3,2,3,5,5,1,4,2,3,2,6,2,2,6,10,2,3,2,5,3,3,1,7,3,4,2,4,2,5,2,5,4,2,2,5,2,3,3,6,2,5,2,3,3,4,2,7,2,5,3,3,2,4,3,5,2,3,1,6,3,2,4,5,2,4,2,4,5,3,1,6,2,2,5,4,1,4,2,9,2,4,2,4,2,3,3,5,4,4,1,3,3,3,2,10,2,3,3,4,2,4,2,5,6,2,2,4,2,4,3,7,2,5,3,4,3,2,1,6,1,3,4,5,2,4,2,6,3,5,3,5,1,2,4,4,2,5,1,5,4,3,2,9,4,2,3,4,3,6,1,5,2,3,3,4,1,3,4,7,1,3,1,4,4,3,2,6,2,3,3,3,3,3,3,6,5,2,1,7,2,4,3,4,3,5,3,3,2,3,2,6,3,3,4,3,2,4,2,5,3,3,2,7,3,3,2,8,1,4,2,3,3,3,4,6,1,2,3,4,2,6,2,5,3,4,3,5,2,4,4,5,2,4,2,4,3,2,2,9,1,2,3,3,3,3,1,5,3,5,2,4,2,2,5,6,2,7,3,5,2,2,2,6,2,2,4,4,2,5,4,9,3,2,2,5,1,4,2,6,3,3,2,5,6,3,1,6,1,3,2,5,2,4,2,5,4,2,2,5,2,2,4,6,3,4,1,3,3,4,1,7,2,4,4,5,1,4,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3,3,4,5,1,5,3,5,3,2,3,6,2,4,3,5,1,3,1,3,5,2,2,9,2,5,3,5,3,5,2,4,3,2,2,5,3,2,3,5,3,4,1,3,3,4,2,7,2,3,4,4,2,3,1,8,5,3,2,4,3,3,5,5,2,6,1,3,2,4,3,6,1,2,4,7,2,3,1,5,4,2,1,7,3,3,2,9,3,3,3,4,3,3,2,6,2,4,3,4,3,5,2,6,3,3,1,4,1,2,5,6,1,5,2,4,2,3,2,8,3,2,3,4,3,6,2,5,3,3,3,4,2,3,2,7,1,7,1,4,4,3,2,6,1,3,5,4,1,4,3,7,2,4,1,6,2,3,2,4,5,3,1,3,5,3,3,7,2,3,4,4,2,4,2,6,2,2,1,6,2,4,3,6,1,4,1,4,3,3,3,7,3,3,3,5,1,3,3,5,6,3,3,4,2,4,3,4,1,6,3,4,4,2,2,10,2,3,6,3,2,3,1,6,2,4,2,5,1,3,4,6,3,3,2,5,4,3,2,5,3,2,2,3,3,7,2,6,2,4,3,5,2,2,3,6,2,4,4,3,3,3,1,7,2,4,3,4,1,3,3,5,5,2,2,6,2,3,3,8,3,5,1,5,2,3,2,6,1,3,4,3,1,5,1,6,3,2,2,7,5,2,2,4,2,4,2,5,3,3,2,8,2,2,3,4,2,5,2,4,4,3,3,4,1,5,4,6,2,4,2,4,3,3,3,8,2,2,3,3,2,4,3,15,4,4,1,4,2,3,5,5,2,5,1,5,4,3,1,6,3,4,3,4,1,4,3,4,3,3,3,5,1,4,4,8,1,5,1,4,9,3,2,5,3,4,2,4,3,4,2,6,2,3,2,5,2,2,4,5,4,3,2,4,3,5,1,10,1,2,4,3,2,4,1,5,4,2,1,6,2,3,2,5,2,6,4,4,3,2,2,6,3,3,4,5,2,3,2,7,4,2,2,6,1,4,2,5,2,3,4,3,4,3,4,7,2,3,3,3,2,7,1,4,3,5,2,4,3,2,5,8,2,3,2,6,3,2,2,6,2,2,3,4,1,4,1,7,5,3,3,5,1,3,2,5,2,5,3,3,4,3,2,9,3,4,3,3,1,4,3,5,2,3,1,7,1,4,3,6,3,5,2,3,4,4,2,5,2,2,5,5,1,4,2,8,2,2,3,5,3,3,6,5,1,5,1,3,3,2,3,7,3,3,2,5,3,4,1,6,4,2,1,4,2,3,3,6,1,6,2,4,3,3,1,8,2,3,4,4,4,3,2,5,2,3,2,6,1,3,4,4,2,3,3,5,4,4,1,10,3,4,3,4,1,5,3,4,5,3,2,4,1,2,3,7,3,3,2,4,3,4,2,9,1,4,3,3,1,4,3,6,3,2,2,6,2,3,3,4,3,5,2,4,3,3,1,7,1,3,7,3,3,4,2,5,2,4,1,5,3,3,3,8,3,4,1,3,3,2,2,6,2,4,4,5,2,5,2,5,3,2,1,5,2,5,4,4,1,3,3,4,4,3,1,9,2,2,3,6,5,3,2,5,5,3,2,5,2,2,4,6,2,5,2,4,2,3,3,5,3,2,4,3,1,6,1,9,3,4,3,6,2,3,3,5,1,3,2,3,5,4,2,6,2,4,2,3,3,5,3,6,2,3,1,6,1,3,4,7,2,3,3,3,4,3,1,6,2,3,3,4,2,4,1,7,5,3,1,4,3,2,2,5,2,7,1,5,2,2,4,8,2,3,3,5,2,5,1,4,4,3,2,6,3,3,4,6,2,4,4,4,4,2,2,6,2,3,3,3,3,4,1,6,2,6,2,5,2,3,4,4,2,4,2,4,2,2,3,9,2,2,3,3,3,4,4,4,3,3,5,5,2,3,2,11,2,5,2,4,4,4,1,6,1,3,6,5,3,4,2,5,3,2,3,7,1,2,3,5,2,5,2,4,3,3,1,7,2,2,3,3,1,5,3,7,3,2,2,4,4,3,5,5,1,5,1,4,3,3,3,6,3,3,2,4,3,3,1,7,6,2,1,5,1,5,2,5,1,5,3,4,2,3,1,7,2,3,4,4,2,4,2,5,4,4,3,7,2,4,5,7,1,3,2,4,3,2,3,6,3,2,3,4,2,6,1,5,2,3,2,6,3,2,4,6,2,4,1,4,4,2,2,10,1,4,4,3,1,3,3,4,4,5,2,5,2,3,3,5,4,5,1,4,3,3,2,6,2,3,4,4,2,3,3,8,3,3,2,5,2,3,2,5,3,5,2,3,6,3,2,7,1,2,3,5,1,6,2,5,4,3,3,4,1,3,3,7,3,4,4,3,2,3,1,8,2,2,2,4,3,3,1,7,4,4,2,4,1,2,5,5,3,4,2,6,3,3,1,7,2,3,5,3,2,4,3,5,2,3,2,7,3,2,2,6,1,4,2,5,5,2,2,6,1,4,2,4,1,8,3,9,3,3,2,6,2,3,3,5,2,3,1,3,3,5,2,7,3,3,3,3,2,5,2,5,5,3,1,4,4,3,3,6,1,5,2,5,4,2,4,5,1,3,5,5,1,4,3,5,3,3,1,6,1,3,2,6,2,4,2,4,3,3,1,10,1,3,3,4,4,4,2,4,3,3,3,4,1,6,6,6,1,4,1,5,3,2,1,6,4,4,3,4,1,5,3,6,4,3,4,4,1,4,2,6,1,6,2,4,3,2,1,6,4,4,3,4,2,4,3,5,3,2,2,7,2,2,4,8,2,4,2,4,5,5,2,6,2,3,4,3,3,4,1,6,3,3,2,5,2,2,4,4,2,4,2,3,3,3,3,10,2,4,3,5,2,4,1,5,5,3,2,5,2,3,3,7,1,4,3,3,2,3,2,6,1,3,4,3,4,5,2,8,2,3,2,5,3,3,4,4,2,3,1,5,4,2,2,7,3,3,3,5,1,8,1,4,2,3,3,5,1,2,5,7,4,4,2,4,3,2,1,7,1,4,2,3,1,4,4,5,6,2,2,5,3,4,2,5,3,4,3,3,3,4,1,12,2,3,4,5,1,4,2,7,3,2,3,6,2,2,3,5,1,6,1,4,5,4,2,5,2,3,2,5,2,4,2,7,5,3,1,4,1,4,5,4,2,3,3,4,2,3,3,8,2,2,3,3,3,3,3,4,3,4,1,6,2,2,4,8,1,7,3,4,2,2,1,6,3,4,4,3,2,4,1,6,3,2,4,5,2,3,3,7,2,3,2,4,5,2,3,7,1,3,4,4,1,5,2,5,2,3,2,6,3,4,3,6,2,3,2,5,3,3,1,7,2,3,5,4,2,3,2,9,3,3,1,5,4,2,3,4,3,6,1,4,2,4,3,7,1,3,5,4,1,3,3,4,4,3,2,6,2,5,2,6,2,3,2,4,6,2,2,6,1,2,2,4,2,6,1,6,4,4,3,5,2,2,5,5,2,4,2,4,3,3,2,9,3,2,2,4,2,5,2,5,4,3,3,4,1,3,3,8,3,4,2,3,3,4,2,6,2,4,3,4,3,3,2,6,4,3,1,9,2,2,3,4,3,4,2,4,4,4,1,6,1,5,3,4,2,5,1,6,3,2,2,4,3,3,5,10,2,5,2,3,2,2,4,7,1,2,2,5,1,4,2,5,4,2,3,5,3,3,3,4,2,5,4,4,3,3,2,8,2,2,4,3,3,5,2,4,3,4,2,5,2,2,3,5,2,3,3,6,5,4,2,7,3,2,2,3,2,5,3,8,3,3,2,4,2,3,4,5,2,5,1,4,6,3,1,8,1,3,3,5,3,3,2,5,3,4,2,5,1,3,3,7,2,5,1,3,2,4,3,5,4,2,6,3,1,3,1,7,3,4,2,6,2,3,3,4,2,5,1,3,3,3,3,9,3,3,2,4,3,6,1,4,4,2,2,6,2,4,4,5,2,4,3,4,2,2,2,8,2,4,3,4,2,3,2,6,5,4,1,4,1,2,3,6,1,4,2,5,4,3,2,7,4,3,3,4,2,5,1,5,2,2,3,6,3,4,3,8,2,4,3,4,4,2,2,5,2,5,4,3,1,5,4,5,3,3,1,5,1,3,7,4,4,3,1,4,2,4,2,9,1,2,4,5,2,4,3,5,4,3,1,4,2,4,3,5,2,6,2,3,4,3,4,5,1,3,4,7,1,3,1,10,3,3,4,5,2,4,2,4,1,5,2,4,5,2,1,8,2,3,3,3,3,4,1,5,2,3,2,4,3,2,5,7,1,4,2,5,2,4,2,8,2,3,3,4,3,5,1,6,4,3,2,5,3,3,3,5,1,5,2,5,4,2,1,8,1,4,5,4,2,4,6,4,3,2,2,6,1,2,3,6,4,4,2,3,3,4,4,5,2,3,3,3,3,7,2,8,2,3,1,5,3,2,3,6,2,5,2,4,2,2,2,7,2,2,4,4,1,3,2,5,7,3,2,5,1,4,3,8,2,4,3,3,3,3,1,7,3,3,4,4,3,3,4,5,2,5,2,7,2,4,3,5,1,3,2,4,4,2,3,7,3,3,2,4,1,5,1,5,2,3,4,6,2,2,4,6,3,4,1,4,5,3,1,6,3,3,2,3,2,3,2,9,3,3,1,7,1,3,4,5,3,7,2,3,2,5,1,6,1,2,5,3,2,4,1,5,3,3,3,6,3,3,3,7,3,4,2,4,4,3,2,5,1,3,3,5,2,5,1,6,5,3,2,4,1,4,4,5,2,4,2,4,2,3,2,12,3,3,3,3,3,4,2,5,4,3,2,5,3,3,4,5,2,5,2,6,2,2,1,6,2,2,6,3,1,4,1,7,3,4,4,6,2,2,3,6,2,4,1,4,4,5,1,7,2,3,3,4,1,5,4,4,3,3,2,5,2,3,3,7,4,4,2,4,4,3,1,7,2,2,3,4,2,4,3,6,4,2,4,4,4,3,2,5,1,7,1,3,2,2,3,8,2,4,3,4,3,4,2,5,3,2,1,7,2,3,4,6,1,3,4,3,3,3,1,7,2,2,3,5,3,5,1,8,3,3,2,6,1,4,5,4,3,3,2,5,3,2,1,7,3,4,3,3,2,5,2,4,5,3,3,5,2,2,3,8,1,5,2,3,4,3,4,5,1,4,4,4,2,4,2,6,2,3,1,6,3,3,3,5,2,3,1,5,7,5,3,8,2,2,4,3,1,4,1,6,2,4,1,4,3,2,3,6,2,5,3,3,3,2,4,8,2,2,2,5,1,5,2,6,4,2,2,5,2,5,2,4,2,4,2,3,3,3,3,8,2,2,4,5,2,3,1,5,3,4,2,5,2,4,4,12,2,4,1,4,4,3,2,5,4,3,4,3,2,7,2,6,3,2,2,4,2,2,5,6,1,3,1,4,4,4,1,9,1,5,2,3,3,4,2,4,4,3,2,6,2,2,2,5,3,5,3,4,3,4,1,5,2,4,6,3,1,3,2,8,4,3,1,7,2,2,3,6,2,4,3,5,3,3,3,6,1,2,2,5,2,5,3,4,4,3,2,4,2,3,5,6,1,5,2,5,3,4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3,5,2,4,3,4,2,5,2,3,4,4,2,3,3,6,3,2,3,5,3,2,2,6,1,6,2,4,6,3,4,12,1,3,2,4,2,5,2,4,3,2,2,4,3,5,4,6,1,3,3,4,3,2,2,8,2,4,4,4,2,3,2,6,3,4,1,4,2,4,5,5,2,4,1,4,2,2,1,8,3,2,4,4,1,5,3,4,2,2,3,6,3,3,3,10,3,4,2,4,5,3,2,5,1,3,2,4,1,7,3,6,2,4,2,6,2,2,3,4,3,4,2,3,3,3,1,8,4,3,4,3,1,3,1,7,4,2,2,5,2,2,3,5,2,6,3,5,4,3,2,5,2,2,3,4,3,4,1,8,3,4,2,7,2,3,4,4,2,3,4,4,4,3,2,7,2,4,3,4,2,5,1,4,4,4,2,5,1,2,8,7,2,4,1,5,2,2,3,6,3,3,3,4,2,5,1,6,3,3,3,4,3,3,3,6,2,5,1,4,5,2,1,9,1,3,6,4,2,3,3,5,3,4,3,6,2,2,2,6,4,3,2,3,4,5,1,6,1,3,3,3,2,5,2,7,3,3,1,4,3,4,3,4,1,5,3,5,3,3,3,9,1,2,3,6,2,4,3,4,5,3,2,5,1,3,2,9,1,6,2,4,2,3,2,7,2,2,4,5,4,3,2,6,3,3,2,5,1,2,4,5,2,3,2,4,4,5,3,7,3,2,4,4,3,6,1,5,2,2,3,5,1,4,4,6,1,4,2,3,3,2,2,7,2,6,2,4,1,3,3,8,6,2,2,6,3,3,2,5,2,4,2,3,3,3,3,6,3,3,5,3,1,5,2,6,3,3,1,6,3,2,3,6,1,5,2,4,5,2,2,6,2,2,4,6,2,4,2,6,3,3,2,4,2,4,4,4,3,3,3,3,3,3,2,11,2,2,2,4,3,5,3,5,3,4,2,4,2,4,3,5,3,7,3,4,4,3,1,6,2,2,3,5,2,5,1,7,2,2,3,6,1,3,3,5,1,5,2,3,6,2,2,7,3,4,2,3,2,4,5,6,3,3,2,5,2,3,4,7,3,4,1,4,2,4,3,8,2,3,3,3,3,3,2,7,4,2,2,6,2,3,2,4,2,5,3,3,3,4,3,7,2,3,5,5,2,3,1,5,6,4,1,5,1,4,2,7,1,4,2,4,3,2,3,6,2,3,4,3,2,6,2,10,3,4,2,4,2,3,5,5,2,4,1,6,2,2,2,7,2,2,4,4,3,5,1,4,4,5,3,4,2,3,3,8,2,5,1,4,3,3,1,6,2,3,4,4,1,4,4,5,2,2,1,9,2,4,3,5,2,4,1,5,4,3,2,8,3,3,4,4,2,4,1,5,3,2,3,5,3,3,5,6,1,5,1,3,3,3,4,6,2,2,2,4,2,4,1,7,5,4,2,5,3,4,3,5,2,5,2,3,3,3,1,8,2,3,3,3,4,3,2,5,2,3,2,7,2,2,4,8,1,3,4,4,6,3,1,6,2,4,3,4,2,6,1,6,3,2,3,5,1,3,4,7,2,4,2,3,3,3,2,9,1,4,2,5,2,4,2,4,3,3,2,5,3,3,3,5,6,5,1,4,3,4,2,5,2,3,6,3,1,4,1,8,4,3,2,5,3,2,3,4,2,5,3,3,3,2,3,8,2,3,2,5,2,6,3,6,3,2,2,4,2,5,3,7,2,3,3,3,4,4,2,7,2,2,3,4,3,3,3,5,5,4,2,4,1,2,3,4,1,6,1,6,2,3,3,10,3,2,3,3,1,5,2,5,3,2,3,7,2,2,4,6,2,4,2,3,5,3,2,5,3,3,2,4,4,5,2,7,3,2,1,6,2,3,5,5,3,3,2,4,4,5,1,7,2,4,5,4,2,3,1,5,4,3,1,5,3,4,3,9,2,6,1,3,2,4,4,5,3,2,4,4,2,4,2,5,3,2,1,6,2,3,2,4,3,4,3,5,4,2,2,9,1,3,4,4,2,4,3,4,3,5,2,5,1,2,4,5,5,3,1,5,3,2,1,10,4,3,3,4,1,4,3,9,4,3,2,5,2,3,2,5,1,4,3,3,4,3,1,7,1,5,5,4,1,4,2,4,2,3,3,6,2,2,3,6,3,5,1,4,4,4,2,6,2,3,5,4,2,5,1,7,2,2,1,4,4,2,5,5,2,5,2,3,3,4,2,9,1,5,2,5,2,4,1,4,6,3,2,5,2,3,3,5,2,4,4,4,3,3,3,7,2,4,3,4,3,4,1,6,3,3,3,6,1,3,3,6,3,3,1,5,3,3,2,6,3,3,2,4,1,7,2,4,4,2,2,4,2,2,5,14,1,3,3,6,3,2,2,6,2,4,3,3,1,3,4,6,4,3,2,5,2,3,3,5,3,7,2,3,3,3,2,8,1,3,4,4,2,3,2,7,3,4,2,6,3,4,2,6,2,4,1,3,6,2,3,5,1,2,4,5,3,5,1,7,4,3,2,5,2,4,4,5,2,4,3,3,2,4,1,9,4,2,2,4,2,3,1,5,3,4,1,5,2,3,5,6,1,4,2,4,2,4,2,6,3,2,7,3,2,5,2,6,2,3,4,6,1,4,2,6,1,4,2,3,5,2,2,9,2,4,2,3,3,5,2,5,4,2,2,6,2,2,3,6,2,5,3,4,3,3,3,6,1,3,3,4,1,5,2,7,4,3,3,5,5,2,2,5,2,5,1,5,2,3,3,6,2,3,4,6,1,3,1,5,4,3,2,7,1,4,4,7,2,5,2,3,4,3,2,8,1,3,2,4,2,4,2,6,2,4,2,5,3,4,6,4,1,3,1,5,4,3,1,9,2,2,2,4,1,4,2,5,4,3,4,4,2,2,3,7,1,6,1,3,4,3,2,6,4,4,4,3,1,3,2,10,3,3,2,6,1,2,4,4,4,3,1,4,5,5,1,6,1,3,3,5,3,5,3,5,3,3,1,5,3,3,3,6,3,7,3,3,2,2,3,7,1,4,3,4,4,5,1,5,5,3,2,5,1,3,2,6,2,4,4,4,2,2,2,9,1,2,5,3,3,4,3,5,2,3,2,6,3,3,3,6,2,3,1,6,4,3,2,5,3,3,4,4,2,8,2,6,3,4,2,5,2,3,3,5,2,4,3,3,5,2,4,8,2,3,3,3,1,4,3,4,4,3,2,6,1,3,2,9,2,4,2,3,4,4,1,5,2,4,4,5,1,4,2,7,3,2,3,6,2,4,2,4,2,5,2,3,3,3,4,7,3,3,3,4,1,6,2,5,4,2,1,4,1,3,6,6,3,3,3,4,2,3,1,8,2,3,3,4,5,4,2,7,4,4,1,6,1,2,4,5,2,6,3,5,2,3,2,6,3,4,3,3,2,4,2,4,3,2,2,5,2,2,3,8,2,3,1,4,5,4,3,6,2,4,3,4,1,6,2,5,3,3,2,5,2,2,4,5,2,3,1,4,3,5,2,13,2,3,5,3,3,4,1,6,4,3,2,4,2,2,2,5,2,5,1,5,2,2,3,7,2,2,5,6,2,3,5,6,3,2,1,5,3,4,3,4,1,5,4,4,4,2,1,7,1,3,2,4,4,5,2,5,3,3,3,4,2,3,5,8,2,5,1,5,3,2,1,6,3,2,3,5,1,5,2,7,8,3,2,4,2,3,3,5,3,4,2,3,4,3,2,7,2,3,4,4,2,5,3,4,2,2,1,8,2,3,3,6,2,4,3,4,3,3,3,5,1,3,4,3,1,4,2,10,4,4,1,4,3,3,5,5,1,5,1,4,4,2,4,8,1,2,2,4,1,4,2,6,6,3,1,4,3,4,2,6,3,6,3,4,2,3,2,6,1,3,4,4,2,4,1,6,2,6,1,6,2,3,3,5,3,4,1,4,4,3,2,9,3,3,4,4,1,5,2,4,3,3,3,5,2,4,4,6,1,3,2,4,4,3,1,7,2,4,3,4,2,3,3,6,4,2,4,6,3,3,2,5,3,5,2,3,2,4,2,7,3,2,6,3,2,4,1,6,2,3,2,6,3,3,3,9,1,5,2,3,3,4,3,6,1,3,2,4,3,5,4,5,5,2,2,6,2,5,3,5,2,3,3,5,3,2,1,9,1,4,2,4,2,3,2,5,6,3,1,5,2,2,4,6,1,5,2,4,3,3,3,5,3,3,3,4,3,5,3,7,2,2,3,8,3,2,2,7,1,3,2,4,4,2,2,7,1,4,4,3,1,5,2,4,3,4,3,6,2,3,4,6,4,3,2,3,3,4,2,7,2,3,3,3,3,4,3,6,3,2,1,5,2,5,4,4,1,7,1,3,3,3,3,9,2,2,3,6,2,3,1,4,3,4,2,5,2,4,3,5,2,4,5,5,6,2,1,6,3,3,3,4,2,5,1,8,2,4,2,4,1,2,6,4,1,3,3,5,2,4,1,8,4,3,3,3,2,5,1,6,3,3,3,5,2,2,3,8,3,5,3,4,5,2,1,5,2,4,4,4,2,4,2,5,3,3,2,6,1,3,4,6,2,3,1,3,4,4,3,8,1,3,3,4,1,7,1,5,3,2,2,5,4,2,3,6,1,4,3,4,3,3,4,7,2,3,3,4,1,3,1,11,5,3,3,4,2,5,2,5,3,4,3,3,2,4,1,9,2,2,4,3,3,3,3,5,4,3,2,6,1,3,3,7,1,4,1,5,5,2,1,6,4,2,2,5,3,5,2,6,2,2,3,5,2,2,6,5,2,6,1,4,3,2,2,9,2,5,3,3,2,4,3,5,3,3,2,5,1,2,3,6,3,6,3,4,3,4,1,5,1,3,6,4,2,3,2,7,4,3,1,6,3,3,2,4,1,5,3,4,4,3,2,6,3,4,2,5,1,4,2,5,4,3,3,6,2,3,3,9,2,3,2,3,3,2,3,9,2,2,3,3,4,5,2,5,4,4,1,4,3,2,4,5,2,4,1,6,3,3,3,7,2,3,5,4,2,5,2,5,2,3,2,5,1,3,4,7,3,3,2,4,4,3,2,6,1,3,2,4,2,6,4,7,3,2,1,6,1,4,4,4,4,4,1,4,5,3,2,7,1,4,4,5,1,4,2,6,5,2,2,4,3,3,3,6,1,6,3,4,2,2,2,5,3,4,3,4,1,4,1,7,4,3,1,7,3,4,3,4,2,3,2,3,5,4,1,11,2,2,2,4,4,4,2,4,2,6,3,5,3,3,5,6,1,3,2,4,2,4,2,6,3,3,3,3,2,4,2,6,5,3,4,5,2,2,3,6,1,8,1,5,3,2,3,6,2,3,4,4,1,5,3,5,3,2,1,7,2,3,3,7,2,4,1,4,4,3,2,6,3,2,5,4,2,4,2,7,2,3,1,4,3,2,3,6,2,5,1,4,3,3,2,10,1,2,3,5,2,3,3,5,4,3,3,4,1,6,3,5,2,5,3,3,3,2,1,6,2,3,5,5,3,4,2,8,3,4,2,6,1,2,5,4,2,4,1,5,4,2,2,6,4,2,3,3,3,6,1,5,3,4,3,4,1,4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4,1,5,2,6,3,4,2,4,3,2,4,6,2,4,1,3,2,4,3,9,2,3,2,5,2,3,2,5,4,2,3,4,2,5,3,5,3,5,3,3,3,3,1,11,1,3,5,4,3,4,1,5,4,3,3,6,3,2,3,5,1,5,1,5,4,2,1,5,3,4,2,3,2,7,3,7,2,2,3,5,1,2,5,5,2,4,2,3,3,4,2,7,2,4,2,5,4,3,3,4,5,2,3,7,2,3,2,8,3,4,3,3,3,3,1,5,1,3,5,4,3,4,1,9,3,3,2,6,3,3,3,6,2,4,2,3,3,3,3,7,2,3,2,5,1,5,1,6,5,2,2,5,3,3,5,6,1,4,2,4,3,3,2,7,2,3,3,3,2,4,1,9,4,6,1,5,1,3,4,4,2,7,2,4,4,2,2,7,4,2,3,3,1,4,3,5,2,2,3,6,1,5,2,7,2,4,3,4,6,3,1,5,2,3,3,4,1,6,3,6,2,3,3,6,1,4,4,4,3,4,2,3,2,3,1,10,2,2,4,5,2,3,1,6,3,3,1,4,4,3,5,6,1,5,1,4,3,3,3,5,2,4,5,5,4,4,2,6,3,2,1,6,3,5,3,4,1,4,3,3,3,3,1,8,2,3,3,3,3,5,3,4,3,4,2,5,2,2,5,12,1,3,3,5,3,3,3,7,2,3,2,3,2,5,2,5,6,2,2,5,3,3,3,6,2,4,2,5,3,3,1,7,3,3,4,3,2,3,4,4,3,4,2,8,1,2,2,6,5,4,1,4,3,3,1,7,2,2,4,4,2,4,2,8,2,2,2,5,3,4,4,5,2,6,2,4,3,2,4,7,2,3,3,5,1,3,1,5,4,3,3,5,2,4,3,6,1,7,3,3,2,3,2,6,3,3,4,4,3,5,1,6,2,4,1,6,2,2,4,4,3,4,2,5,8,3,3,9,2,2,3,3,2,6,1,5,3,3,3,5,2,3,3,7,1,3,4,4,5,2,2,7,1,4,3,3,1,3,2,8,5,2,2,5,1,2,3,6,2,4,3,4,3,5,2,6,2,3,5,3,2,5,1,5,2,4,1,5,3,2,3,7,3,5,2,5,4,3,5,5,1,2,3,5,2,6,1,6,3,4,1,6,2,3,4,4,3,4,2,4,3,3,2,10,2,4,3,3,3,4,3,4,4,4,1,4,2,4,3,6,1,4,2,4,6,3,1,6,3,3,4,4,2,5,3,9,2,3,4,6,2,2,4,6,1,4,2,3,5,3,2,6,2,4,3,3,2,4,2,6,4,2,1,6,1,3,6,7,2,4,2,5,2,5,2,6,2,2,4,3,2,4,3,6,4,3,2,5,3,2,2,4,2,7,2,4,2,2,2,8,1,3,4,6,2,4,1,5,5,2,2,6,2,3,3,7,1,3,2,4,4,4,3,6,2,2,3,4,4,5,1,6,2,4,4,4,2,3,4,4,2,3,1,6,3,3,1,10,3,3,4,3,1,5,1,5,4,4,2,5,2,3,3,9,3,5,2,3,3,3,2,7,2,4,4,4,2,3,5,6,3,5,2,6,1,3,3,4,3,3,1,3,5,3,1,8,1,3,3,5,2,5,1,7,3,2,2,4,3,2,3,5,3,5,3,3,2,2,3,7,3,2,3,4,2,5,3,8,8,3,1,4,2,4,3,4,2,5,4,3,2,3,2,7,2,2,4,4,3,4,1,5,2,4,1,7,3,4,4,6,2,3,2,5,4,3,2,5,2,5,2,4,2,5,1,5,4,3,3,5,3,2,4,6,2,3,1,3,4,2,3,12,2,4,3,5,2,5,2,4,4,2,3,7,2,3,2,5,2,6,1,4,2,4,3,5,3,2,6,4,2,4,2,7,4,3,1,5,3,3,3,5,2,5,2,4,4,2,3,7,2,3,3,5,1,4,3,4,4,2,2,4,2,6,3,8,1,4,2,3,3,3,2,8,2,3,2,6,4,3,1,6,3,3,2,4,1,3,4,5,1,6,3,4,2,2,2,8,3,3,7,3,1,4,2,5,2,3,2,6,2,3,4,7,2,3,2,4,4,4,3,6,3,3,2,3,4,5,2,8,3,2,2,7,1,2,3,4,4,4,3,4,2,5,2,7,1,3,3,4,2,4,1,6,5,3,2,5,2,2,3,7,1,6,2,3,4,3,3,6,1,3,3,4,2,5,2,7,3,3,1,7,4,3,3,4,1,4,5,5,3,2,2,9,3,4,3,3,2,5,2,4,2,4,1,4,1,2,6,5,3,4,2,5,4,3,2,7,2,2,3,5,1,4,3,7,3,2,3,4,2,3,3,6,2,6,1,4,5,2,2,6,1,4,3,5,3,4,3,4,2,2,3,6,3,2,2,9,3,4,2,4,6,4,1,6,3,3,4,3,1,5,2,8,2,3,3,5,2,3,4,5,1,4,1,3,3,4,3,9,2,3,2,4,2,4,2,4,5,4,2,5,1,3,3,5,1,4,4,5,3,3,2,8,1,3,4,4,3,3,2,7,4,3,2,6,2,3,4,5,2,4,2,4,3,3,3,6,4,3,3,3,2,9,1,4,2,4,3,4,3,4,4,8,2,4,1,4,4,2,1,6,2,4,5,3,2,4,2,5,5,4,1,6,1,4,2,5,3,4,2,4,3,3,1,10,2,2,5,4,2,3,2,5,2,2,2,7,3,4,2,6,2,5,2,4,4,3,3,5,2,3,2,6,2,5,2,6,3,4,4,4,1,4,5,4,2,4,2,4,3,3,3,8,3,2,2,3,4,3,3,6,5,3,1,4,1,3,4,8,1,5,2,4,2,4,2,5,3,3,3,4,2,6,1,6,4,2,3,7,1,2,2,5,2,3,2,3,5,2,2,8,1,5,3,4,2,4,4,4,3,2,2,5,3,3,5,6,3,4,2,4,3,3,3,8,1,4,3,3,1,5,1,13,3,2,1,5,5,2,4,5,2,5,2,5,3,3,2,7,1,2,5,5,3,3,2,5,4,3,2,5,1,4,2,6,3,3,2,3,3,4,1,7,1,2,4,4,3,6,2,5,3,6,2,4,2,4,5,5,1,3,2,5,3,4,1,9,2,2,3,4,2,4,3,6,6,3,4,4,2,2,2,6,2,6,1,3,4,2,1,5,3,4,4,3,2,4,2,7,2,3,2,8,3,3,4,6,3,4,1,4,3,4,2,6,3,2,4,3,2,4,3,5,2,3,2,6,3,3,4,8,1,5,2,4,3,2,2,7,3,4,3,5,1,4,1,5,5,2,1,5,1,5,2,6,2,6,2,4,4,2,4,8,1,3,4,3,2,4,2,4,2,4,2,5,3,3,5,7,2,3,2,5,5,3,1,5,3,2,3,4,3,5,2,8,3,3,3,4,2,3,3,6,3,4,2,4,4,2,1,9,2,4,2,3,1,5,4,4,4,3,1,5,1,3,3,6,5,4,1,5,4,4,1,5,2,2,6,5,1,3,1,6,3,4,2,5,2,3,3,5,1,7,2,4,3,3,3,10,2,3,3,5,1,5,2,5,4,2,3,4,2,3,5,5,1,4,4,4,2,3,1,8,1,2,3,4,3,3,1,6,4,4,3,5,3,2,3,5,2,4,3,6,2,3,1,7,2,4,4,4,2,5,1,5,4,3,2,8,1,2,3,9,1,4,2,4,5,2,3,6,2,3,3,4,2,5,3,5,3,3,1,5,3,2,5,5,4,5,2,5,2,4,1,8,2,3,4,3,3,4,2,5,4,4,1,4,2,4,2,6,3,6,2,3,2,3,3,6,1,4,4,4,1,3,2,9,4,2,2,5,2,5,3,4,1,3,3,3,7,2,1,8,2,2,3,5,2,5,1,4,2,4,3,6,1,3,5,6,2,4,2,5,2,3,4,7,5,3,2,3,2,4,1,6,3,3,3,5,1,2,3,5,2,5,2,3,4,5,1,8,3,4,4,4,3,3,2,5,3,3,1,7,2,3,3,5,2,4,4,3,3,3,2,5,1,3,5,3,2,7,1,8,4,2,1,5,2,3,3,6,3,4,1,3,2,2,4,7,2,2,3,6,3,4,2,5,5,3,2,5,3,3,3,10,1,6,2,4,2,3,1,6,1,3,4,4,3,4,3,6,3,4,3,6,2,2,3,5,3,3,2,5,3,3,2,9,3,2,3,4,1,7,2,4,3,3,3,5,2,3,7,6,2,3,2,3,5,4,1,6,1,4,2,5,2,3,4,7,4,2,3,5,2,3,3,4,2,6,1,5,3,3,2,7,4,4,4,4,1,4,3,7,3,3,1,5,3,2,3,6,2,5,2,3,5,3,3,6,1,3,3,4,3,4,2,6,4,2,1,5,1,4,4,6,2,4,3,3,3,2,1,12,2,5,3,4,2,3,2,4,4,5,2,5,1,3,3,6,2,5,1,4,3,2,3,5,4,2,5,3,1,6,1,6,2,3,5,6,2,2,2,5,2,3,3,5,4,2,3,7,2,3,4,3,1,6,3,5,2,4,1,6,3,2,4,7,3,4,1,4,5,4,3,7,1,3,3,3,2,4,2,7,5,3,2,4,4,3,3,4,1,5,2,3,3,3,4,7,2,2,4,6,1,4,2,5,3,3,3,7,1,4,2,6,2,4,2,4,4,3,2,6,3,2,2,4,3,4,2,10,3,3,1,5,1,3,7,5,1,3,2,5,2,4,2,8,3,4,4,4,3,4,1,5,4,2,2,5,3,2,2,9,2,7,4,3,3,2,2,6,1,4,3,3,2,3,3,5,3,3,2,7,1,4,2,5,3,5,1,3,5,5,2,8,2,2,3,3,2,6,2,5,4,2,2,4,3,3,3,5,3,5,1,6,2,3,3,7,1,2,4,5,2,3,2,6,5,3,1,4,1,4,3,5,3,5,3,4,2,3,2,8,1,2,5,4,3,3,3,5,3,3,2,5,2,4,4,9,2,4,2,5,4,3,1,6,3,2,3,4,2,6,3,5,3,3,3,5,3,4,3,5,1,5,2,4,5,3,1,8,3,4,2,3,2,3,2,7,4,3,2,6,2,4,4,5,2,4,1,3,2,5,3,6,1,3,5,5,2,3,2,8,2,3,1,8,2,2,2,4,2,5,3,3,5,3,3,6,1,3,2,4,1,5,1,5,5,3,2,4,1,4,4,7,3,3,4,3,3,2,2,8,1,3,2,4,3,5,3,6,3,4,2,5,2,2,4,5,3,5,2,5,4,2,1,12,3,2,4,4,2,4,2,4,3,5,3,5,1,2,3,6,3,3,2,4,7,3,2,6,1,6,2,3,1,4,3,7,2,4,1,6,2,3,3,5,2,4,1,4,4,3,2,9,2,3,5,4,2,3,2,5,4,2,4,4,2,3,3,8,1,6,1,4,2,3,2,5,3,3,5,5,1,4,2,6,4,2,2,5,3,3,4,5,1,3,2,5,3,4,2,8,1,2,3,4,5,7,3,5,2,3,2,6,2,3,4,5,2,5,2,4,3,2,2,6,4,3,2,4,2,5,2,8,5,2,3,4,2,3,3,7,1,4,1,5,3,2,2,6,1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5,2,4,4,4,3,3,1,5,3,5,1,7,2,2,3,5,2,4,2,5,5,2,3,4,2,2,2,6,2,8,2,4,3,3,4,6,4,2,4,4,3,4,1,6,3,2,2,5,2,4,3,5,2,3,2,4,4,3,2,10,1,3,4,3,3,4,2,5,3,4,2,5,2,3,5,6,1,4,3,4,2,4,1,8,4,6,2,3,2,4,2,6,4,4,2,6,2,2,3,6,2,4,2,4,4,2,3,6,2,4,6,4,3,4,2,5,3,4,1,6,2,2,3,11,4,4,1,5,4,3,2,6,1,2,6,3,1,6,2,7,3,3,1,5,2,3,4,5,3,4,4,4,3,2,3,9,1,2,3,8,1,4,2,5,5,2,1,4,2,5,3,5,2,5,2,3,4,2,2,6,2,3,3,6,4,4,2,7,3,5,2,7,1,2,4,4,2,4,1,5,3,2,3,6,3,3,2,4,1,6,2,5,3,2,2,5,4,3,5,8,2,3,1,3,4,4,3,7,2,3,2,3,3,3,3,5,4,3,2,6,1,4,3,4,2,6,2,3,3,4,1,9,2,4,5,3,1,3,2,6,4,3,1,6,3,3,3,7,2,4,3,4,5,2,3,5,1,3,2,5,2,6,2,7,5,3,1,5,3,3,3,4,1,5,2,4,2,2,1,9,2,2,4,3,4,4,3,5,3,5,3,5,1,2,3,8,2,5,1,5,2,4,2,6,3,2,5,3,2,4,3,5,3,2,4,5,2,5,3,5,2,4,1,3,5,3,1,7,3,3,2,4,2,8,2,5,2,4,4,7,1,3,3,5,2,4,2,4,2,3,2,7,4,2,4,3,2,3,2,11,5,3,1,4,4,3,4,4,2,6,1,3,3,3,2,6,2,4,3,4,2,3,1,6,4,3,2,7,2,5,3,7,1,3,4,4,4,2,2,6,1,3,2,5,2,5,2,5,5,3,2,4,1,2,7,6,3,3,2,5,3,2,2,9,3,2,2,4,2,6,1,5,3,2,3,4,2,3,4,7,1,5,2,4,4,3,2,5,2,4,4,4,2,5,3,7,2,4,1,6,2,3,3,4,4,4,1,4,5,4,2,8,2,3,4,4,2,4,3,5,2,3,3,4,2,4,3,8,2,5,1,4,4,3,3,8,2,3,3,5,1,3,2,5,5,4,3,6,1,3,3,5,1,5,4,4,2,3,2,8,3,3,5,4,2,4,2,5,2,4,2,5,2,4,4,5,1,4,2,6,4,3,1,5,3,3,3,3,4,6,2,7,3,3,2,6,2,3,3,7,1,3,3,3,4,3,1,8,1,5,3,3,3,4,3,4,7,2,1,5,2,3,2,7,2,5,2,3,2,4,4,6,3,2,4,3,2,4,3,6,3,2,2,7,4,3,3,5,1,4,1,5,3,4,4,11,2,2,3,5,1,4,1,4,5,4,1,5,1,3,4,6,2,3,3,3,4,3,2,9,2,4,2,4,2,3,2,7,3,3,3,5,2,4,3,4,3,6,3,5,3,2,3,7,3,2,4,4,1,5,1,4,2,2,3,6,3,3,2,8,3,5,2,3,5,3,2,6,2,5,2,4,2,5,2,6,2,3,1,5,2,2,6,4,2,4,1,3,2,5,2,9,1,4,5,4,2,3,1,6,4,2,2,5,4,2,3,5,3,5,2,3,2,2,2,6,1,3,6,5,2,4,1,9,4,3,2,5,2,3,3,7,1,4,3,4,3,4,3,7,3,3,3,4,5,6,1,5,3,4,1,4,3,2,5,6,2,4,2,6,3,3,2,6,3,2,4,3,1,5,2,5,4,4,3,5,2,3,3,5,3,6,2,3,3,2,3,9,2,3,3,4,2,3,5,5,2,3,1,9,3,3,2,6,2,3,2,3,5,4,2,5,2,3,4,5,1,4,1,8,2,2,2,5,2,5,4,4,2,6,1,3,3,2,3,7,3,3,3,5,2,4,2,5,5,3,2,5,2,3,3,10,2,5,2,3,3,3,2,7,1,3,3,4,4,4,1,6,3,6,2,6,2,2,3,4,3,4,3,4,6,3,2,7,2,3,2,3,2,6,3,5,4,3,3,4,1,3,4,7,1,4,3,4,3,2,2,7,2,3,4,3,2,5,2,8,4,2,1,6,2,3,2,5,3,4,3,6,3,4,1,6,1,2,6,4,1,4,2,5,2,3,2,5,4,2,4,6,3,4,1,4,4,2,3,7,1,3,3,4,2,7,2,6,4,3,1,4,3,5,3,4,1,3,2,4,4,3,2,11,1,3,2,5,4,4,1,5,4,3,3,4,2,2,6,6,1,5,2,4,3,4,2,6,3,3,3,5,1,4,1,7,4,3,3,6,1,2,3,6,2,3,3,5,4,4,2,6,1,4,3,4,2,5,3,4,2,3,1,6,1,3,8,7,4,5,4,4,2,3,2,6,2,4,3,3,3,4,1,7,5,2,1,5,2,2,2,6,2,7,2,4,3,2,5,7,3,2,4,5,2,4,1,4,3,3,1,6,2,4,2,5,1,4,3,4,4,3,3,7,3,2,3,4,2,4,1,12,2,4,2,6,1,3,5,4,3,4,1,6,3,2,3,10,3,3,2,3,2,5,3,5,3,3,2,5,2,4,3,7,1,4,2,3,6,3,1,5,3,3,5,4,1,3,3,7,2,2,3,6,1,2,3,6,3,5,3,3,4,5,2,8,3,3,4,3,2,6,1,6,2,3,2,4,2,3,4,6,2,5,2,4,2,4,3,6,1,3,2,6,3,3,3,6,6,2,1,5,1,3,4,4,2,4,4,4,4,2,1,8,1,5,4,3,2,3,1,4,4,3,1,7,2,3,3,9,1,4,2,4,3,3,3,6,4,3,3,3,1,6,3,6,2,2,4,4,2,3,4,6,2,3,2,4,3,4,1,9,1,5,4,3,2,4,3,5,4,3,1,5,3,3,2,6,4,7,1,4,3,3,1,6,2,4,5,3,2,3,3,8,2,3,2,6,3,3,4,5,1,5,1,3,5,2,2,6,1,2,3,7,2,4,1,4,4,3,3,4,1,4,3,7,4,5,2,4,3,2,1,8,2,3,3,4,3,5,1,6,4,3,2,5,3,3,4,5,1,4,2,4,2,4,1,10,4,2,5,3,3,7,2,5,3,3,3,7,2,3,3,6,1,3,2,4,5,2,4,5,2,4,3,4,1,5,3,6,3,4,3,5,1,2,4,6,2,3,2,4,3,3,3,7,1,3,3,4,2,6,1,7,5,4,1,5,3,3,2,7,1,5,2,5,3,2,2,5,2,3,4,4,2,4,1,5,5,4,2,7,3,4,2,5,3,3,3,3,4,3,1,9,1,3,3,4,3,4,3,5,2,4,2,5,1,3,6,6,1,4,2,5,3,3,1,6,3,3,3,4,4,4,2,8,4,3,5,4,2,4,3,5,2,7,2,3,3,3,2,8,2,3,4,3,2,4,3,6,4,3,3,7,1,3,4,6,2,3,1,4,6,5,2,5,1,2,3,5,3,5,2,7,4,3,2,5,3,2,3,5,1,4,2,4,3,3,3,10,2,3,2,5,2,3,2,4,6,2,2,5,1,4,2,6,2,6,2,4,2,3,2,7,2,2,5,3,3,4,2,6,2,3,3,5,4,3,4,5,1,3,2,5,3,2,2,7,3,4,4,4,2,7,2,5,3,4,2,4,1,3,4,12,3,3,2,3,4,2,1,7,4,4,3,4,1,4,4,5,4,2,1,6,2,4,2,5,4,4,2,3,3,4,2,8,1,3,4,4,1,4,2,5,2,4,3,6,2,3,3,5,2,6,3,4,4,2,3,6,2,2,3,4,3,4,1,9,3,3,1,5,2,4,6,4,2,4,4,4,4,4,2,8,1,3,3,4,3,4,2,4,3,5,1,6,2,3,3,6,2,5,2,5,3,2,2,5,2,4,4,5,1,4,2,5,4,2,2,6,2,2,4,6,2,3,1,5,7,2,2,9,2,5,2,3,2,5,3,4,2,2,2,5,5,3,3,6,2,3,2,5,2,4,1,10,1,2,5,4,1,5,2,7,3,3,3,4,3,2,3,5,3,6,1,4,2,3,4,7,2,2,4,4,2,4,3,5,4,3,1,5,1,5,2,8,2,4,3,4,4,2,2,7,3,3,2,4,2,6,3,5,3,3,2,4,2,3,4,5,1,5,2,6,2,3,1,8,4,3,3,3,2,4,1,6,6,2,3,5,1,2,5,7,2,5,2,3,3,4,2,5,2,5,5,3,3,3,3,9,2,4,2,8,2,4,3,5,2,3,2,3,4,3,1,7,2,3,4,3,3,4,1,5,3,2,1,5,4,2,4,8,2,4,2,3,3,4,4,7,2,3,2,5,1,4,1,5,4,4,2,5,2,4,4,4,2,6,3,4,3,2,1,9,2,3,4,4,4,4,1,6,3,4,2,5,1,3,3,5,4,3,2,4,4,3,3,6,3,2,3,3,2,7,3,6,3,3,3,5,2,3,3,5,2,4,2,3,4,2,2,8,2,4,3,6,1,3,5,5,4,2,3,6,1,2,3,8,3,6,3,3,4,4,2,5,2,3,7,4,2,3,1,8,2,3,1,5,3,2,3,5,2,5,2,3,4,4,3,8,2,3,3,4,2,5,2,4,4,2,2,6,2,4,3,5,1,3,4,4,3,4,1,7,2,3,2,3,2,4,3,8,6,4,1,5,1,4,3,5,2,4,2,5,2,3,2,7,2,2,5,4,2,5,2,4,2,2,3,7,3,3,2,8,2,4,1,6,4,3,2,5,1,3,4,4,4,4,2,6,2,4,1,7,2,2,4,5,4,4,2,3,2,3,2,13,1,2,5,4,2,3,3,5,4,2,2,5,4,4,3,6,2,6,2,5,4,3,2,5,2,4,4,5,2,4,3,6,4,3,2,6,2,4,2,4,1,5,2,3,5,4,2,7,3,3,2,3,3,5,1,5,2,4,2,4,2,3,6,7,1,4,1,4,4,4,3,8,2,3,2,4,2,4,1,6,3,2,2,5,2,2,3,7,1,5,3,4,4,2,3,7,1,5,4,4,1,5,2,5,4,2,3,6,1,3,3,6,5,3,1,4,4,4,3,5,1,3,4,5,2,8,2,9,3,2,2,4,3,2,4,4,2,5,2,4,3,2,3,7,3,3,3,5,1,4,1,5,5,4,1,5,2,4,2,7,2,4,4,5,2,3,1,8,2,2,3,4,3,3,2,6,2,3,2,6,1,3,4,4,2,4,3,5,5,4,2,8,2,2,2,4,1,5,2,4,4,4,4,4,1,2,6,6,2,5,2,4,4,2,3,7,3,3,2,3,2,3,4,8,3,2,2,6,2,2,3,4,3,6,1,3,3,6,2,7,3,2,4,3,4,4,2,5,2,2,1,6,2,4,2,10,2,5,3,3,4,3,3,5,2,4,4,5,1,5,1,5,4,3,3,4,2,5,4,6,1,3,2,4,2,3,2,11,3,2,2,4,3,4,2,4,4,3,1,5,3,3,4,5,1,5,2,5,4,2,3,6,3,2,7,4,2,4,2,7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3,4,4,1,6,3,7,6,2,1,6,1,3,3,6,1,4,2,5,2,2,3,8,2,3,3,4,3,4,1,4,5,5,2,4,3,3,3,7,1,4,1,5,4,3,2,6,3,3,4,3,2,5,2,6,2,5,5,6,1,2,2,5,3,4,2,3,4,3,2,11,2,4,2,4,2,5,3,4,3,2,1,6,3,3,5,6,4,4,2,3,3,3,1,6,2,3,4,5,2,4,2,8,4,2,3,4,3,2,4,4,1,7,1,3,2,3,3,7,3,5,4,5,1,3,2,5,3,3,2,6,2,4,3,7,2,4,3,3,4,4,1,7,2,2,2,3,3,6,3,5,3,3,2,7,2,3,5,4,3,4,3,4,2,3,2,12,2,3,3,3,3,4,1,5,5,3,2,5,1,3,2,9,1,4,1,5,4,4,3,5,1,3,4,4,2,4,4,8,2,3,1,6,3,3,3,4,3,4,2,5,4,4,2,6,2,4,5,3,2,5,1,6,3,3,2,5,2,2,4,7,2,5,1,4,3,2,2,7,3,3,4,5,1,3,2,6,6,3,1,4,2,6,2,5,2,5,3,3,4,3,1,9,3,3,4,4,3,3,2,4,3,4,4,7,2,3,3,6,2,4,1,5,3,2,2,6,3,2,2,4,2,6,1,7,2,3,3,4,1,2,6,5,1,5,1,4,6,3,2,7,2,3,3,4,3,3,4,5,3,2,1,6,1,3,3,10,2,6,3,5,3,5,3,6,3,3,4,3,1,4,2,6,4,2,1,5,2,2,3,6,2,4,2,4,5,3,4,8,1,2,3,6,1,5,1,5,3,3,2,4,3,3,4,6,2,3,3,5,2,2,1,9,1,3,3,3,3,3,1,7,4,5,2,4,3,2,4,5,3,5,3,4,3,2,1,8,4,4,7,4,1,4,3,4,3,2,3,5,1,4,3,7,1,4,2,4,5,4,2,5,1,5,2,5,2,5,2,5,3,2,2,5,2,4,4,4,4,5,2,4,3,3,1,10,2,3,4,3,2,5,2,6,5,2,2,4,2,3,3,6,1,6,2,3,2,3,3,6,1,2,4,6,4,3,2,8,4,2,2,8,1,4,3,6,1,3,5,3,4,2,2,7,1,3,3,3,4,4,1,5,4,4,2,4,2,4,5,8,2,4,2,4,2,2,3,6,3,3,3,4,2,6,1,5,3,3,2,6,4,3,3,5,2,5,2,5,3,3,2,7,2,4,4,4,1,4,4,5,2,4,1,7,1,3,3,6,3,3,2,3,6,3,2,6,1,3,5,3,3,4,3,11,3,2,2,4,2,4,3,5,2,4,3,4,4,4,2,8,2,3,2,5,2,5,1,4,5,3,2,4,1,3,3,7,3,6,2,3,3,3,1,6,3,2,4,4,3,4,2,7,3,4,1,6,2,2,5,4,1,3,1,5,3,4,2,8,3,3,3,4,2,8,2,5,4,3,3,5,3,3,4,6,1,4,2,4,4,3,1,7,1,5,2,3,2,4,3,6,5,3,4,7,1,2,3,5,3,4,1,3,3,4,3,7,2,2,4,5,2,5,2,6,3,3,2,6,5,3,2,9,1,4,2,5,4,2,2,5,1,3,3,4,2,4,4,5,3,3,3,4,1,5,6,4,2,4,3,4,3,2,2,10,2,2,3,5,3,4,3,4,3,3,1,4,1,4,4,6,3,5,2,4,3,2,1,6,3,3,5,4,1,5,2,7,2,3,3,6,2,3,3,6,2,5,2,4,5,3,1,6,4,4,2,4,2,4,3,6,2,4,1,6,1,2,5,6,5,4,1,3,3,4,2,8,3,2,4,3,2,4,1,6,4,5,2,6,3,2,2,4,3,6,2,4,3,2,3,12,1,5,4,4,2,3,1,6,4,3,1,6,2,4,2,6,2,3,4,3,3,2,3,7,2,3,2,4,3,7,1,7,2,3,2,5,2,3,4,4,2,3,3,6,2,4,2,7,3,2,5,4,1,4,2,4,7,3,2,5,1,3,3,9,2,4,2,3,5,2,2,6,1,4,4,3,2,3,4,5,4,3,2,7,3,4,2,5,2,4,2,4,4,5,2,8,1,3,4,6,2,4,2,6,3,2,3,4,2,3,4,5,1,5,3,4,3,3,4,6,2,3,2,4,2,4,1,9,6,2,2,5,2,3,3,4,1,7,2,4,2,4,2,8,2,2,3,4,5,3,3,5,2,4,3,6,2,2,3,6,2,5,3,4,5,3,1,6,3,3,2,3,3,5,2,6,3,3,3,4,2,2,4,7,1,3,1,4,3,2,3,10,1,5,4,3,1,5,3,5,3,3,2,5,3,3,4,6,2,5,1,4,2,4,2,5,3,2,8,5,1,3,1,7,2,4,2,6,2,4,2,4,4,5,1,4,3,2,3,7,2,2,2,5,1,6,3,4,4,4,3,5,2,4,3,9,1,4,3,3,4,3,1,7,1,2,3,5,3,3,2,7,5,4,2,5,2,3,3,4,1,5,2,4,4,3,2,7,3,3,3,3,1,6,1,6,3,3,3,8,1,3,4,6,2,3,2,4,5,4,3,5,1,4,3,4,2,4,4,7,3,3,1,7,1,2,5,5,2,3,2,3,2,4,1,8,3,4,3,3,1,3,1,7,6,3,3,5,3,3,2,7,2,6,1,4,2,2,3,6,2,2,4,5,3,5,1,6,4,3,3,5,3,3,2,5,2,3,2,5,5,3,1,10,2,2,4,3,3,4,2,5,3,6,2,5,2,2,4,5,2,4,1,6,2,2,2,8,3,2,2,4,1,5,4,6,4,2,3,4,3,3,4,5,1,5,2,4,4,2,2,6,1,3,4,4,3,5,3,4,3,3,3,7,2,3,3,8,2,4,2,4,3,4,3,5,2,4,4,4,3,6,1,7,3,3,2,4,4,4,4,5,1,4,2,3,3,3,3,9,3,2,3,4,2,4,1,4,6,2,1,7,3,4,3,5,1,5,4,3,2,3,2,6,1,5,3,3,3,4,1,10,3,4,1,6,2,3,5,6,2,3,3,4,4,2,2,6,3,2,3,5,2,6,1,5,3,2,3,5,3,3,6,8,2,3,2,4,4,2,2,7,1,3,3,4,3,5,2,5,4,3,2,5,2,3,2,5,5,5,2,3,2,4,3,9,1,2,4,4,1,4,2,6,2,3,2,5,2,4,4,6,1,7,2,4,6,3,2,5,1,4,2,5,1,5,1,7,3,3,2,4,4,3,3,5,2,4,3,4,3,3,2,10,3,3,2,4,3,4,1,6,4,3,2,5,1,3,5,8,2,5,3,6,2,4,2,5,3,3,5,3,3,4,2,5,3,3,3,6,1,4,2,5,2,3,3,4,5,3,1,7,1,4,4,4,1,5,3,5,4,3,1,6,1,2,3,8,3,5,1,3,3,4,2,6,1,2,4,3,3,4,1,8,5,3,1,5,3,3,2,5,3,6,2,4,3,3,4,6,2,3,5,5,2,3,4,4,3,3,1,6,1,5,3,7,4,4,3,4,3,3,1,8,2,3,2,3,2,4,3,5,3,4,1,5,1,3,6,5,2,3,1,4,4,4,3,11,3,3,3,4,1,4,2,4,3,4,4,4,1,3,2,7,2,9,1,4,4,3,2,6,3,4,4,3,1,3,3,8,2,2,2,6,3,2,4,4,2,4,3,4,4,4,1,6,1,3,4,4,2,6,1,5,2,3,1,6,4,3,5,7,3,4,3,4,2,2,3,7,3,3,2,7,2,4,1,6,5,2,2,5,2,3,4,5,2,5,2,4,3,2,3,8,2,3,5,3,3,5,1,4,3,4,2,5,3,3,4,6,1,3,2,6,3,2,2,6,3,3,3,4,1,7,1,9,4,4,3,5,2,3,3,5,2,3,1,3,4,3,2,8,1,4,2,4,2,4,4,5,5,3,2,5,2,3,3,6,3,5,2,4,4,3,2,6,1,2,5,4,1,3,3,7,3,2,3,8,2,2,2,4,2,6,2,3,4,3,2,8,3,2,2,4,3,5,2,5,5,3,2,5,2,5,5,7,1,3,2,3,2,5,2,7,2,3,4,3,4,3,1,6,4,4,2,5,2,3,4,6,2,5,3,4,2,2,1,6,3,3,3,5,3,4,1,6,3,2,4,6,2,2,2,13,2,4,2,3,7,3,5,6,2,4,3,3,1,5,3,5,2,3,1,6,2,2,4,4,2,5,1,5,4,4,1,9,1,3,4,3,2,3,1,6,4,4,2,5,4,2,2,5,2,5,2,4,2,4,2,7,2,2,4,5,1,4,3,8,3,3,2,5,2,6,2,4,3,3,3,3,5,2,2,8,1,3,3,5,3,6,2,4,3,3,2,4,2,3,6,6,1,4,2,5,3,3,2,6,4,4,2,4,1,4,3,6,4,2,3,5,3,2,4,6,2,4,2,4,3,4,1,10,1,4,4,4,2,3,3,5,3,3,2,8,1,2,3,6,5,3,3,3,4,4,2,6,2,4,3,3,1,5,3,7,4,3,1,4,2,2,5,5,1,5,2,5,3,3,3,7,2,4,3,4,1,5,3,5,4,2,1,5,2,3,2,7,2,7,6,5,4,3,1,6,1,3,5,3,3,3,1,5,3,5,3,5,2,3,3,6,2,4,1,5,4,2,2,8,3,3,3,3,1,6,2,5,2,3,3,5,1,4,4,7,3,3,2,3,5,2,2,9,3,3,2,5,1,4,2,9,3,2,3,6,1,3,2,6,2,5,1,3,3,4,3,6,3,2,6,3,2,4,2,6,4,3,1,5,3,2,4,7,2,4,1,4,4,4,3,5,2,4,2,5,4,6,1,6,3,2,1,5,2,4,4,4,1,5,5,4,3,2,1,11,2,4,2,4,2,4,3,4,6,4,2,5,3,2,3,6,2,4,1,5,2,2,2,5,4,2,4,4,3,7,1,6,3,2,2,7,3,3,4,5,2,3,1,5,4,4,1,7,2,5,4,3,1,4,2,4,2,3,3,5,2,3,5,8,4,3,2,4,2,3,2,8,1,2,5,4,1,4,3,7,3,3,2,4,3,4,2,4,1,7,1,4,3,4,2,7,2,4,3,6,1,4,1,4,5,3,2,5,1,3,4,5,2,5,2,5,4,3,2,6,2,2,3,5,4,4,3,9,2,3,2,4,2,2,5,5,3,4,1,4,3,3,2,8,3,2,2,4,3,6,2,5,3,3,2,5,2,3,3,8,1,5,4,3,4,2,1,6,1,4,9,3,1,4,3,6,4,3,2,6,3,4,2,5,2,4,2,3,4,3,2,11,2,2,3,3,3,6,3,7,3,3,2,5,3,3,4,5,2,5,1,4,2,2,4,7,2,2,4,5,1,3,1,7,6,5,1,5,1,4,2,4,3,4,2,3,4,3,3,8,2,3,4,3,2,3,2,5,2,6,1,7,1,4,3,7,2,3,2,4,5,2,2,5,3,3,4,5,1,6,1,5,2,2,5,5,1,3,4,6,2,4,3,4,4,3,1,8,3,3,2,5,3,3,3,5,4,3,2,6,2,2,4,5,2,6,1,3,2,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5,3,3,3,3,2,6,2,3,3,4,2,4,3,8,5,2,2,6,1,4,4,5,4,4,1,4,2,4,1,6,2,4,4,4,2,3,2,5,4,3,1,9,2,2,3,6,3,5,4,3,3,3,3,5,1,3,2,5,1,4,2,5,5,4,3,5,1,3,5,6,1,3,4,3,3,3,3,11,2,2,3,4,3,4,1,6,4,3,1,5,3,2,3,6,1,6,3,6,2,3,1,5,3,4,5,4,2,5,2,6,2,3,2,5,2,3,4,5,4,3,1,3,7,2,2,7,1,4,2,5,1,5,3,6,2,3,2,5,1,4,4,7,3,3,2,4,4,4,2,7,2,3,4,4,2,5,1,6,3,3,2,4,4,2,2,4,2,7,3,3,3,3,3,8,2,2,4,5,2,3,2,6,3,2,3,5,3,3,3,6,2,4,3,3,4,4,2,9,2,2,3,4,3,6,2,9,3,4,1,6,1,2,4,4,1,3,3,6,3,2,3,7,3,4,3,3,1,5,3,5,5,2,3,6,1,3,2,8,1,5,2,4,3,3,3,6,3,5,4,4,2,4,3,5,3,2,2,7,2,3,3,5,2,3,2,5,4,3,2,9,2,2,6,4,2,5,1,5,3,4,1,4,2,3,7,7,3,4,2,3,2,2,3,7,2,2,2,5,3,3,2,6,4,4,3,5,1,5,2,5,2,6,3,4,5,4,2,7,2,2,4,4,4,4,2,4,3,4,2,5,1,2,3,8,2,4,2,6,6,2,2,6,4,2,3,3,1,6,2,7,4,3,2,4,2,2,4,5,1,3,2,5,3,5,1,10,1,3,2,3,2,5,4,4,3,2,2,6,1,2,3,6,3,4,3,3,3,4,2,6,1,4,5,4,2,4,2,9,3,3,2,5,4,3,4,6,1,5,1,3,4,2,4,6,1,4,2,4,3,6,1,4,5,3,1,4,3,3,4,6,2,3,3,4,3,2,1,8,2,3,3,4,3,3,2,5,5,6,2,4,1,3,4,5,3,5,3,5,2,4,2,12,2,2,3,4,1,5,2,5,3,3,3,7,1,4,3,6,2,3,2,5,5,2,2,5,1,3,2,4,3,5,4,7,3,2,3,6,2,3,4,4,2,5,1,4,3,4,2,7,4,2,3,4,3,3,2,6,3,3,1,4,4,2,4,8,1,8,2,4,2,3,4,6,1,3,4,4,3,4,2,6,3,3,1,7,2,5,2,4,1,4,3,3,4,3,2,8,4,4,2,4,2,5,1,4,4,3,3,5,2,4,6,6,1,4,2,4,2,2,4,7,2,2,3,4,1,5,1,9,3,4,3,5,2,2,3,7,1,5,1,4,4,3,1,6,2,3,7,4,2,3,2,5,3,3,2,6,2,3,3,6,4,4,2,4,5,4,1,6,2,2,4,3,1,6,3,7,2,3,2,4,3,4,4,4,4,5,2,4,3,3,2,9,2,3,2,7,2,3,3,4,6,3,2,5,2,3,3,6,2,5,3,3,3,3,1,7,3,4,3,4,3,4,3,7,2,3,2,7,2,2,4,4,2,3,2,6,3,3,1,8,2,3,2,4,4,5,1,4,2,3,3,6,3,3,4,10,1,4,2,4,5,3,1,6,2,5,3,4,1,3,2,5,5,3,1,5,1,3,4,6,3,5,2,5,2,4,3,7,1,3,5,4,1,5,2,5,3,2,3,5,4,2,2,5,2,5,1,4,6,3,3,6,1,4,4,4,2,6,1,7,3,3,2,4,2,3,4,5,2,4,3,3,3,2,2,10,3,3,4,4,2,3,3,5,4,3,1,4,2,4,4,7,1,4,1,5,4,2,2,6,6,2,4,5,1,4,2,6,3,3,3,6,2,3,3,6,1,4,2,3,5,3,4,9,3,5,3,3,1,6,2,6,2,4,1,6,2,2,4,5,3,3,2,3,3,5,2,6,2,3,4,3,3,3,1,8,4,3,1,6,2,4,2,4,1,6,3,4,3,2,2,7,2,3,4,5,3,5,1,4,5,2,1,6,1,4,2,9,2,3,3,4,4,4,3,6,1,2,3,4,4,5,2,5,2,3,1,4,3,3,7,4,2,4,3,5,2,2,1,8,2,4,3,4,2,6,2,5,4,4,3,5,3,2,2,6,3,6,2,5,3,3,1,7,2,3,3,4,1,4,4,12,4,2,3,6,1,3,2,4,3,4,1,3,5,5,2,6,1,2,4,4,1,4,2,6,3,3,5,4,2,3,3,7,3,6,2,4,3,2,3,10,2,3,3,5,1,3,3,6,5,3,2,5,3,3,4,4,1,5,3,3,3,3,2,9,2,3,5,4,4,3,2,5,3,5,2,7,1,4,4,6,2,4,2,4,3,3,2,6,2,3,5,4,1,6,2,6,3,3,4,4,2,3,3,6,3,3,1,4,3,3,3,8,2,3,3,3,2,5,3,5,5,3,2,7,3,2,2,8,4,4,2,4,2,3,3,5,1,2,5,3,2,3,3,7,2,5,2,7,3,2,2,4,2,4,1,4,5,2,2,8,1,3,3,4,1,4,3,5,4,4,2,4,2,6,5,6,2,3,3,4,3,3,2,7,2,3,2,4,2,4,1,7,4,4,2,5,3,2,4,4,2,7,1,5,4,2,1,6,4,2,3,5,1,5,1,6,3,2,2,5,1,4,5,9,1,4,1,3,5,4,3,5,2,4,3,4,2,5,3,5,2,3,2,6,2,2,3,6,3,3,2,4,2,3,1,12,2,3,4,3,2,5,1,5,5,3,3,4,3,3,2,7,2,7,2,3,3,3,4,5,2,3,6,4,2,4,2,6,4,3,3,5,2,3,2,5,2,4,4,6,4,2,1,7,1,3,3,4,2,5,2,4,3,4,1,5,2,2,5,8,3,4,1,5,2,3,1,7,3,2,3,4,4,5,3,6,4,3,3,4,2,3,2,6,2,4,1,3,6,3,2,8,1,4,4,4,2,3,2,5,3,2,3,8,2,3,3,5,3,6,1,3,3,4,2,6,4,4,3,4,1,4,1,10,3,3,1,5,2,2,6,4,2,4,3,4,2,3,4,8,2,3,3,5,2,3,3,5,4,3,2,5,2,4,3,6,2,6,4,4,3,3,2,7,2,3,3,3,2,4,1,6,4,3,2,6,1,3,3,5,2,3,4,5,5,3,2,8,3,2,2,5,2,7,1,5,2,3,3,4,2,2,4,6,3,4,1,5,5,3,2,7,1,6,3,4,1,4,3,6,4,4,1,6,1,3,3,4,3,5,2,4,2,4,2,7,2,3,6,3,2,3,3,5,3,3,1,6,4,3,3,10,1,4,3,3,5,3,2,7,2,2,3,6,2,7,1,6,3,2,3,4,2,4,4,4,3,5,2,3,2,3,2,9,2,3,4,3,4,3,2,6,5,4,2,4,1,2,4,6,2,4,2,5,2,5,1,5,2,3,4,3,3,5,3,7,3,2,2,7,2,3,2,6,2,5,2,4,4,2,1,7,1,4,2,4,3,4,5,4,3,2,1,6,2,3,6,8,2,4,1,5,2,3,3,6,2,2,4,4,2,5,2,7,4,2,1,4,4,4,2,4,2,6,2,4,2,3,4,9,2,3,4,4,1,4,1,5,4,4,2,6,2,3,3,6,3,3,2,4,5,2,2,8,1,3,3,4,2,5,3,6,3,5,2,5,2,4,4,5,2,3,2,4,4,2,1,9,3,4,3,4,2,4,1,6,4,2,5,4,2,2,4,8,1,5,3,3,3,3,1,5,4,3,4,4,1,5,2,6,3,3,2,8,2,3,3,5,4,4,1,4,3,4,1,7,2,3,3,5,3,6,1,5,3,2,2,5,3,3,4,5,2,4,4,5,3,3,2,6,1,5,3,5,1,3,1,10,9,2,2,4,2,4,4,5,2,4,3,3,4,3,2,8,1,2,4,3,2,4,2,5,2,5,2,6,2,2,4,6,2,3,1,5,4,4,3,5,4,3,4,4,3,6,2,5,4,3,2,5,1,2,4,6,3,4,1,4,3,2,1,10,3,4,2,4,2,4,4,5,3,3,2,5,2,4,2,5,4,7,3,3,4,4,1,6,2,2,5,6,2,4,2,7,3,2,2,5,2,3,3,6,1,6,1,3,5,2,2,6,3,2,4,4,2,4,2,6,4,2,1,4,2,5,4,8,1,4,3,4,3,3,1,8,2,3,2,4,4,3,3,5,3,3,2,6,2,3,3,4,1,4,2,6,3,2,3,8,4,3,5,4,2,4,2,5,4,4,3,5,1,3,3,7,2,4,2,3,6,4,3,6,2,3,2,3,1,7,3,8,2,4,2,5,3,2,3,5,2,3,2,4,2,5,3,8,1,2,5,4,1,4,2,6,4,3,2,4,3,3,2,6,3,5,1,4,3,3,4,6,1,3,4,5,1,4,3,5,3,2,2,8,2,4,4,5,2,3,2,4,5,4,2,13,1,3,2,5,2,5,2,4,2,3,2,5,2,3,5,5,3,5,1,5,3,3,2,7,4,3,2,3,1,5,1,9,3,3,4,5,1,3,3,6,2,5,3,3,4,4,1,6,3,5,3,3,2,3,3,5,4,3,2,7,2,2,2,7,2,4,3,4,6,3,1,5,1,5,6,3,2,4,3,7,4,3,1,5,2,3,3,5,2,5,2,4,4,2,5,9,2,2,2,5,2,4,2,4,4,2,1,6,2,3,3,7,1,4,2,5,2,2,1,6,3,2,6,3,4,3,2,8,2,5,2,5,2,4,4,5,3,3,2,4,4,4,1,7,3,3,3,3,1,8,2,4,3,3,2,6,2,4,4,8,1,4,1,4,4,3,2,6,2,4,2,4,3,3,3,6,4,3,3,5,2,3,3,4,3,6,2,4,3,3,1,8,3,3,5,3,2,4,2,8,2,2,1,7,2,3,4,5,2,5,2,4,4,3,3,5,1,3,2,4,2,5,1,7,5,3,3,6,1,3,6,4,3,4,4,3,2,3,2,8,1,3,3,5,3,3,1,4,4,5,2,4,2,3,4,10,2,5,2,4,3,3,3,7,2,4,3,3,1,5,2,5,3,3,3,5,5,3,2,6,1,4,2,4,5,2,2,8,2,4,3,3,1,4,3,5,3,3,3,6,1,3,4,6,3,4,2,4,2,4,2,9,2,2,4,4,2,3,3,8,5,2,2,4,4,4,3,5,3,5,2,4,3,2,2,6,1,2,4,6,1,5,2,4,4,3,3,5,2,4,2,6,1,5,3,3,3,3,3,6,3,3,4,4,4,5,1,7,3,3,1,5,2,3,7,5,2,4,2,5,3,4,2,10,3,2,3,4,2,5,1,4,5,3,2,5,3,5,2,7,1,4,3,3,3,2,2,5,2,4,4,4,1,4,2,7,3,2,2,8,3,2,2,6,3,4,2,4,3,3,4,6,3,4,4,3,1,5,1,5,2,3,1,5,3,3,4,8,1,6,2,5,3,4,2,7,2,2,4,4,1,4,1,6,5,3,1,5,1,3,3,5,4,8,4,3,2,2,1,9,2,3,4,4,4,4,3,4,2,4,1,6,2,3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4,2,5,2,4,2,5,2,6,2,3,3,3,2,8,1,2,3,4,3,4,3,8,3,4,1,6,1,3,4,5,1,4,2,5,5,3,1,6,4,3,4,4,1,5,2,5,4,3,3,4,2,4,4,7,1,4,1,3,3,4,1,6,4,4,3,3,2,3,2,7,4,2,2,7,1,3,3,5,2,7,1,4,3,5,3,13,1,2,6,4,2,3,3,5,2,3,3,6,3,3,3,5,1,4,3,3,5,3,4,5,2,4,2,6,1,5,1,7,4,2,1,4,2,4,4,5,2,4,3,3,3,3,4,9,2,3,2,5,4,5,2,5,4,3,2,4,3,3,4,7,4,4,1,5,2,2,1,5,3,3,7,5,2,6,2,6,3,3,2,5,2,2,3,5,2,3,2,3,4,2,1,9,2,4,4,3,1,5,4,5,3,2,1,6,3,4,3,5,3,3,1,3,4,4,2,7,2,4,3,4,1,4,1,11,4,4,3,5,2,3,2,5,2,6,3,4,3,3,3,6,4,2,4,4,1,3,2,5,5,2,2,8,2,4,4,7,2,3,2,5,3,3,1,7,3,3,2,3,3,4,3,5,2,4,1,5,3,3,5,4,2,4,2,4,2,2,3,9,3,5,3,4,3,5,1,4,5,2,3,4,1,2,2,8,2,5,2,3,4,3,3,6,2,3,4,3,3,4,3,6,2,3,2,7,2,4,2,6,3,5,1,4,6,3,1,6,2,3,5,3,2,4,2,5,3,4,2,5,4,2,4,9,2,4,2,5,2,3,4,8,2,3,2,4,1,5,3,5,5,3,1,4,1,5,2,5,1,5,4,4,4,3,2,8,2,3,4,5,2,4,1,5,2,3,3,6,1,2,4,5,1,5,3,5,4,3,2,6,4,2,2,3,3,9,1,8,2,3,3,5,3,2,5,6,3,3,2,3,3,4,1,7,1,4,2,4,3,4,3,5,4,3,2,6,1,2,5,7,3,4,3,4,3,4,1,5,1,4,4,4,3,4,1,7,3,3,2,6,3,2,3,5,2,6,1,3,4,2,3,10,2,2,3,4,2,7,1,5,3,3,2,4,2,4,5,6,1,4,5,5,2,4,1,7,2,3,3,3,2,3,1,7,4,5,2,4,2,3,4,4,2,5,2,6,4,2,2,7,2,2,3,4,1,4,4,4,3,3,2,6,1,3,3,8,2,4,2,4,7,2,3,5,1,4,2,5,3,4,2,5,3,2,3,6,1,4,4,6,2,4,1,4,2,4,2,10,3,2,4,3,2,4,3,7,3,3,1,5,2,4,4,5,1,6,2,4,3,3,4,6,2,2,5,4,2,3,2,10,4,2,1,7,2,3,3,5,2,3,3,4,3,3,2,8,3,3,2,3,3,5,1,6,4,5,2,4,2,3,4,7,3,4,2,4,3,3,2,6,3,2,4,3,1,5,3,6,6,3,2,4,2,3,2,5,2,5,3,6,4,4,1,8,1,4,4,3,2,5,2,5,3,4,2,7,2,2,2,6,5,3,2,3,3,4,1,6,1,2,5,5,2,5,2,7,3,2,3,5,2,3,5,4,1,4,1,3,3,3,3,8,2,3,2,7,2,3,3,5,4,2,4,4,3,4,3,9,1,7,2,3,2,3,2,7,2,4,4,4,3,3,1,6,3,3,2,5,2,3,5,4,1,4,2,4,5,4,2,7,3,4,2,4,3,6,2,4,3,2,2,6,1,3,3,7,2,4,3,4,4,2,1,7,3,4,3,3,2,4,4,7,4,2,2,6,2,3,2,5,3,6,2,3,2,3,3,7,2,3,6,3,3,5,1,7,3,3,1,5,5,3,3,7,2,4,1,4,5,3,3,5,2,3,4,5,1,5,2,5,6,4,1,4,1,4,5,4,2,4,2,4,2,3,2,12,2,3,2,3,3,3,3,5,5,4,1,6,2,4,4,6,1,4,2,5,4,3,2,5,4,3,3,5,1,4,1,6,2,4,4,8,1,4,2,5,1,5,1,4,5,2,1,7,2,3,3,3,3,4,2,6,3,3,3,6,1,2,6,8,2,3,4,3,2,4,2,7,1,2,3,4,3,4,2,6,3,2,2,6,3,3,3,4,3,7,3,3,3,3,3,8,1,4,3,5,2,3,2,4,4,3,1,5,1,6,3,7,2,4,3,4,5,3,3,6,1,3,2,4,3,5,2,8,4,4,3,5,3,2,5,5,1,3,1,5,2,4,1,9,3,3,3,4,1,4,2,4,4,4,4,4,2,3,3,8,4,5,1,3,3,3,2,7,1,3,5,4,2,3,3,5,4,3,1,6,2,4,3,4,4,4,2,5,4,4,1,8,1,3,4,4,2,6,2,6,2,3,2,4,4,2,4,6,1,7,2,5,2,2,3,6,2,2,2,5,2,3,1,8,5,2,2,5,3,3,3,5,2,4,4,3,2,4,2,7,2,3,5,4,3,5,2,4,3,3,2,7,2,3,3,11,1,4,4,5,4,3,2,5,3,3,3,4,1,6,1,6,3,3,2,5,1,2,8,7,2,3,1,3,5,3,3,8,1,3,3,3,1,5,2,5,5,4,2,6,3,2,2,5,2,5,2,6,4,4,3,5,1,3,5,4,2,4,2,9,2,3,1,6,2,2,3,5,3,4,3,4,4,2,4,7,2,3,2,4,2,5,3,5,3,2,2,5,1,5,3,6,3,3,3,3,5,2,2,10,1,3,4,5,3,4,2,6,3,3,3,5,1,2,4,6,1,5,1,4,3,3,1,9,4,4,4,4,3,5,1,5,2,3,3,5,3,2,4,6,1,4,1,3,4,4,1,6,1,4,2,4,2,6,4,7,3,2,2,6,2,2,3,4,3,4,3,4,3,5,1,7,3,3,5,3,1,3,2,5,7,3,1,5,2,2,3,8,2,6,2,5,2,3,4,6,1,4,3,5,1,4,3,6,3,3,3,6,2,3,3,4,2,4,2,4,3,2,1,9,2,3,3,4,5,4,2,4,2,5,1,4,3,3,5,6,3,3,2,4,4,3,2,8,2,3,3,3,2,5,2,9,4,2,2,4,1,5,3,5,2,7,1,4,4,2,2,7,3,3,4,5,1,4,4,5,2,3,2,7,1,2,2,7,3,4,2,3,5,4,4,6,3,2,3,4,1,5,1,8,2,3,1,5,3,3,4,4,3,4,2,4,4,3,3,10,2,2,2,5,3,3,1,6,6,3,2,5,2,3,2,5,1,4,4,4,3,3,1,6,2,4,6,4,2,4,2,6,4,7,2,6,2,2,3,5,3,4,2,5,3,3,4,6,2,3,3,4,2,7,2,4,2,2,3,5,3,2,4,9,1,5,1,4,3,3,2,6,4,4,5,3,1,4,3,5,4,3,1,6,3,4,3,4,4,4,1,3,2,4,2,9,3,3,5,4,2,3,2,6,2,3,2,7,3,4,2,7,2,4,1,3,4,3,2,5,2,3,3,6,2,4,1,8,5,3,2,4,1,4,5,4,1,5,3,5,3,3,1,8,3,3,3,3,2,4,3,5,3,4,1,4,1,4,6,6,2,6,2,5,2,3,2,5,3,2,3,3,4,4,2,5,3,2,3,7,2,2,3,7,1,3,3,4,7,4,2,11,1,4,3,3,2,4,3,4,3,2,2,6,1,3,4,6,3,4,2,3,2,4,2,8,3,3,4,3,3,5,1,7,3,3,2,5,4,3,3,4,2,6,2,4,3,3,3,6,1,4,5,4,3,3,1,5,3,5,2,6,2,3,3,8,3,4,3,3,4,2,2,7,2,3,3,4,3,6,3,6,3,4,2,4,2,3,4,5,2,5,3,6,3,2,2,8,2,3,3,5,1,6,2,5,4,3,4,4,1,2,3,6,2,5,2,4,4,2,1,6,3,4,3,5,1,4,3,10,2,3,2,7,2,2,4,4,3,3,1,5,5,5,1,6,1,4,3,3,3,5,1,5,3,3,1,5,3,3,6,6,1,4,3,3,2,2,4,7,3,3,3,4,2,3,2,5,6,4,2,5,2,4,2,6,2,5,2,3,3,3,2,10,2,2,3,4,3,5,2,5,3,3,1,5,3,4,3,5,2,4,1,6,4,3,2,6,4,2,5,3,1,5,3,6,2,6,3,4,1,2,4,6,3,4,2,3,3,2,1,11,1,5,3,4,3,4,3,5,4,2,2,5,2,4,3,10,2,5,1,4,3,3,1,6,3,3,7,4,1,3,3,6,3,2,3,5,4,4,3,4,1,5,2,4,4,2,2,8,3,2,3,6,1,6,1,5,4,2,1,5,2,3,4,5,2,3,3,4,2,4,4,7,2,3,2,3,4,4,1,7,5,4,2,6,3,2,3,5,1,5,2,5,3,3,2,7,2,3,4,4,1,6,2,5,4,3,3,6,3,2,2,8,1,3,2,3,5,2,2,5,1,5,3,3,1,6,3,6,2,3,2,6,3,3,5,4,3,4,3,5,3,3,2,10,2,2,5,6,2,3,1,6,4,3,2,5,2,2,4,5,4,7,2,4,2,3,2,6,1,3,3,4,2,4,2,6,4,3,2,5,3,5,2,5,3,4,3,4,5,4,1,8,2,3,2,5,2,4,1,5,2,4,3,5,1,2,5,7,2,4,2,4,3,4,2,7,3,2,3,4,1,4,3,7,4,4,5,4,2,2,4,6,2,4,1,4,4,3,2,7,2,4,6,4,2,3,3,5,2,2,1,8,1,3,3,5,2,5,2,3,4,3,2,5,2,3,4,3,3,6,1,15,4,2,3,4,4,4,3,7,1,4,1,3,3,3,3,7,1,3,4,5,2,4,1,4,5,2,3,4,3,5,3,7,1,5,3,4,3,3,2,6,2,3,4,4,4,4,1,6,3,4,1,8,1,3,4,4,4,4,2,4,3,3,3,9,3,2,2,4,2,5,4,5,3,3,4,4,2,3,4,8,2,4,1,5,5,3,1,7,1,4,2,5,1,3,3,7,4,3,2,5,1,2,3,4,4,7,2,3,3,4,1,6,2,2,4,3,1,5,1,6,4,4,2,6,3,2,3,8,2,5,1,4,5,3,2,6,2,3,3,5,3,5,2,6,3,3,1,5,3,4,4,4,1,3,5,5,3,2,2,10,2,5,2,3,2,3,3,5,4,3,2,4,3,2,4,6,2,4,3,5,2,2,3,6,2,3,4,4,2,6,2,7,3,2,3,5,2,3,3,5,2,3,2,5,6,3,2,7,1,4,3,3,2,8,2,4,4,3,1,6,1,3,3,7,3,3,3,4,3,5,2,7,1,2,3,5,2,3,4,7,5,2,1,5,2,3,3,4,2,6,1,3,5,3,4,10,2,3,4,5,3,3,1,4,3,4,3,6,1,3,2,6,1,5,3,3,3,3,2,7,2,3,4,3,3,4,1,7,3,3,2,6,2,4,7,5,1,4,1,4,2,4,1,7,5,2,2,4,3,4,1,5,3,2,2,6,1,3,3,8,1,5,3,4,3,4,2,6,2,6,5,3,2,3,2,6,3,3,2,6,1,2,3,6,2,3,1,4,5,4,4,7,2,3,4,4,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3,4,3,2,1,9,2,3,2,3,3,4,1,6,3,4,2,4,2,2,7,6,2,4,1,5,2,5,1,7,2,2,3,3,3,5,2,8,4,4,2,5,1,3,3,6,2,5,2,5,3,3,2,6,1,4,4,3,3,3,4,5,5,2,1,6,1,3,3,7,3,4,2,4,5,4,3,6,1,2,4,4,2,6,1,6,2,3,2,4,4,3,4,5,1,5,2,4,3,2,2,12,2,3,4,4,2,4,2,5,4,5,1,4,3,5,3,6,3,4,4,3,2,2,3,7,2,3,4,4,2,4,2,7,4,4,1,6,2,3,4,5,1,3,1,6,4,3,3,6,2,2,3,6,1,8,2,4,4,4,4,5,1,2,4,8,2,4,1,3,5,2,2,6,3,5,3,3,2,4,2,7,4,3,1,5,2,2,3,4,2,5,4,4,2,5,2,7,2,3,4,4,3,5,1,6,3,3,1,8,3,2,2,5,2,4,2,4,4,2,4,6,1,3,3,5,3,4,1,9,4,3,3,4,1,3,6,5,2,4,3,4,3,3,4,10,1,3,3,3,3,4,1,4,4,3,1,5,4,2,4,7,1,5,1,5,3,4,1,7,4,2,4,4,2,4,1,6,2,4,3,6,2,3,2,5,3,4,2,3,6,3,2,9,2,4,3,4,1,4,4,4,3,3,1,6,2,4,3,6,2,4,1,5,3,3,1,8,1,3,4,4,4,3,3,7,3,3,3,4,3,3,2,4,1,7,2,4,3,3,3,6,3,3,5,6,2,3,3,5,3,2,1,5,2,3,4,14,2,4,3,4,5,4,2,6,1,2,3,3,5,5,1,6,3,3,2,6,2,4,4,5,2,4,3,4,2,3,2,8,4,4,3,4,1,5,2,5,7,2,4,5,2,3,3,8,2,4,1,3,3,2,3,7,2,4,4,3,1,5,3,7,2,3,2,7,3,3,3,4,3,3,1,4,4,4,1,6,3,3,4,3,1,4,1,7,3,4,1,4,2,4,5,6,4,5,3,4,2,3,2,7,1,3,4,5,2,4,2,5,5,3,1,5,2,4,3,4,3,6,2,4,3,2,1,10,3,2,4,5,2,5,1,5,3,6,2,6,2,2,4,5,2,5,3,4,4,2,1,5,3,4,2,3,2,6,1,8,2,2,4,4,3,2,4,6,1,4,2,3,4,3,3,9,1,3,2,3,2,4,2,4,4,4,2,7,2,3,3,8,2,5,4,4,2,4,2,6,1,3,6,4,2,3,2,6,5,2,2,6,3,3,2,5,2,4,2,4,3,4,4,7,2,3,2,4,2,6,3,5,4,3,2,4,2,5,3,5,1,5,3,5,2,2,1,7,2,2,4,5,4,3,2,9,4,4,1,5,1,3,5,6,2,4,1,4,3,2,3,7,2,3,5,4,3,5,3,4,3,2,3,9,1,4,2,8,1,5,1,4,6,3,1,5,2,3,2,4,2,4,4,5,2,3,2,6,2,3,5,5,3,4,2,5,3,3,2,9,2,3,3,4,1,3,1,7,4,3,2,4,2,3,4,5,2,7,2,3,3,5,3,5,3,3,5,4,2,3,2,7,4,2,2,6,1,4,3,5,1,4,5,3,5,3,2,8,1,4,2,3,2,5,2,4,4,3,2,4,2,2,4,9,3,3,1,6,3,3,3,7,3,4,2,6,2,5,1,5,4,3,3,5,3,2,4,6,2,5,1,5,5,2,1,8,1,4,5,4,1,4,3,4,3,4,2,6,2,3,2,5,4,3,1,3,3,4,3,8,2,3,3,3,2,7,3,8,2,2,2,4,3,3,4,4,3,4,2,3,4,4,3,8,2,2,3,5,2,4,1,6,6,2,2,4,2,3,2,7,3,5,2,5,4,3,1,7,4,3,3,3,2,3,2,6,2,5,3,6,3,2,4,5,1,4,1,5,3,3,2,11,6,3,3,4,4,6,1,4,2,2,2,6,2,2,6,7,1,3,3,5,3,3,1,6,3,6,4,4,2,4,2,6,4,2,1,5,2,4,3,5,2,6,2,4,2,3,2,6,2,2,6,3,1,5,1,5,3,2,3,6,3,2,4,8,2,4,2,5,4,3,4,5,1,3,4,5,2,4,1,5,3,5,2,4,1,4,3,6,2,4,2,3,3,3,2,11,2,2,2,4,4,3,3,5,4,4,1,4,2,3,4,6,2,5,3,5,4,3,2,6,2,4,4,5,1,7,2,8,4,2,3,5,2,3,2,5,3,4,3,3,4,3,2,7,2,4,3,4,2,6,3,5,2,2,2,6,2,3,5,6,3,3,1,3,3,4,2,7,1,3,3,3,4,4,3,7,6,3,1,6,4,2,2,4,2,5,2,4,2,3,3,9,2,4,3,5,1,3,1,4,5,2,3,7,2,4,4,6,1,3,3,3,3,3,3,6,1,3,3,4,2,6,1,7,3,5,2,5,2,2,5,5,3,4,2,6,3,3,1,7,3,2,3,3,2,5,3,5,4,3,4,4,2,2,2,10,2,8,2,3,4,3,1,6,2,4,3,4,2,3,5,7,3,3,2,7,1,4,3,5,2,4,1,3,6,3,1,7,2,3,5,5,1,4,3,5,2,4,3,4,3,3,3,5,2,5,1,4,3,3,3,7,3,3,2,4,2,4,2,9,5,3,1,6,2,5,4,4,2,5,2,3,2,4,2,7,2,2,5,3,4,3,2,5,2,4,1,7,2,3,4,6,1,4,3,4,4,2,2,6,3,4,3,5,1,6,2,7,4,2,2,4,1,3,3,8,3,4,2,3,3,2,2,10,1,4,3,4,2,5,3,5,4,3,1,6,2,3,2,5,4,5,2,4,3,3,3,5,1,3,6,4,2,3,3,7,2,4,2,7,3,2,4,5,2,5,2,5,4,3,2,7,3,3,3,5,2,4,2,4,4,2,2,4,3,4,4,7,2,4,3,3,3,4,1,8,1,2,3,4,2,5,2,5,4,3,5,4,2,3,3,5,1,6,1,5,2,4,3,8,4,2,4,3,2,4,2,5,4,2,2,5,3,3,3,7,1,3,2,5,9,4,1,5,1,4,3,3,3,5,3,11,3,2,1,7,1,3,5,4,2,4,3,3,3,4,1,8,1,4,4,4,2,3,1,6,4,3,1,5,2,3,2,8,2,5,3,4,2,2,4,6,2,2,5,5,2,5,1,6,3,3,2,6,3,4,3,4,1,3,4,4,3,2,1,10,2,3,4,4,4,6,2,5,2,4,2,5,2,3,4,5,3,4,2,4,3,3,2,7,4,2,3,3,1,4,2,6,5,5,3,4,1,6,3,5,2,5,1,3,5,3,2,6,1,6,3,4,1,4,2,6,3,3,2,8,2,2,3,9,2,5,2,3,3,3,2,5,4,3,4,4,2,5,2,7,2,2,1,4,2,3,7,4,3,5,1,4,2,3,4,8,1,3,3,6,2,3,1,5,4,3,3,5,1,4,3,6,2,6,3,4,3,2,2,6,3,4,4,5,4,4,2,7,3,3,1,6,4,2,3,6,2,4,2,4,5,3,2,7,2,2,2,4,2,7,2,5,3,2,4,5,3,3,3,7,2,3,2,5,3,3,1,9,1,3,4,4,1,4,5,5,5,4,3,5,1,2,3,4,4,4,1,5,3,5,2,11,1,2,5,4,1,3,3,6,2,3,3,5,3,3,2,6,3,5,1,3,4,2,3,6,2,3,3,5,2,5,1,6,5,3,3,5,3,4,3,5,1,5,2,3,3,3,2,8,2,3,4,3,2,3,2,6,5,5,2,4,1,3,5,7,1,4,1,5,3,4,1,6,3,4,3,4,3,4,3,5,2,2,3,8,2,3,2,5,3,4,3,3,5,3,2,7,2,4,2,4,1,6,3,4,3,3,1,7,2,2,4,7,2,4,2,3,4,3,3,7,1,2,3,4,3,4,2,10,3,3,2,5,4,2,2,5,1,7,3,5,3,2,2,6,2,3,4,5,1,5,2,4,4,4,2,5,2,4,2,6,4,3,2,4,4,2,2,7,3,3,3,4,2,4,3,6,3,3,1,5,1,4,6,4,1,3,2,5,5,3,1,10,3,4,2,4,2,5,1,5,3,3,3,5,3,4,3,7,2,5,2,3,4,3,2,6,3,3,7,4,3,3,3,7,2,3,2,6,1,3,3,5,4,3,2,3,3,6,1,7,2,2,4,4,4,5,1,6,3,2,2,5,2,2,4,10,2,6,2,4,3,2,3,7,2,3,2,4,2,3,3,6,6,2,2,4,3,4,2,5,1,5,4,5,2,3,3,8,2,2,4,3,3,5,2,5,3,4,1,7,2,4,3,6,2,5,2,6,4,3,1,5,2,2,4,4,2,5,1,7,3,3,4,4,2,4,5,5,2,3,3,4,4,2,2,9,3,3,2,5,1,3,3,4,3,2,2,6,2,3,3,7,3,5,2,3,4,5,3,5,1,3,4,5,1,4,2,7,3,4,2,5,2,3,4,4,2,6,1,3,6,2,3,9,3,3,2,5,1,4,2,6,4,2,2,4,2,4,5,5,3,3,3,4,3,4,2,9,1,3,3,4,4,5,1,7,4,3,1,5,1,3,3,5,3,4,3,4,3,3,1,6,3,4,5,4,2,4,2,5,3,4,2,5,1,3,5,9,1,3,2,3,5,3,2,6,2,5,3,3,2,10,2,5,3,3,2,5,3,3,4,4,3,4,1,5,3,3,3,9,1,3,7,4,2,3,2,5,5,3,2,6,4,2,3,5,2,5,2,3,2,3,2,6,2,2,3,5,2,5,3,9,4,2,2,7,1,5,2,4,2,3,3,4,4,2,2,7,1,4,3,6,3,4,3,4,2,4,3,5,2,3,6,8,2,5,1,4,3,2,1,6,4,3,2,4,3,5,1,6,4,3,3,5,1,2,4,7,1,6,2,4,3,3,1,8,1,4,4,3,3,3,4,4,4,2,3,7,2,4,2,5,2,3,3,5,4,3,2,5,2,3,3,4,1,5,2,9,4,3,1,6,2,3,3,6,1,4,2,3,2,3,4,9,3,3,3,5,2,5,2,4,5,4,2,4,2,3,2,8,1,4,3,5,3,3,2,7,1,2,5,3,3,5,2,6,3,5,1,5,3,2,5,5,2,4,2,4,4,3,2,8,2,3,2,3,2,7,3,5,3,3,4,4,1,3,4,6,3,4,1,3,4,3,2,6,2,3,2,6,3,3,3,7,6,2,3,6,2,2,3,5,4,6,1,3,2,4,1,7,2,4,5,3,2,4,1,7,2,2,2,6,5,3,4,6,2,5,3,4,4,3,2,6,2,3,2,5,2,4,1,6,3,2,2,5,2,5,4,4,1,3,3,3,4,4,2,14,2,4,3,3,2,3,3,5,6,4,2,4,1,3,4,6,1,6,1,5,2,2,3,6,3,2,3,4,1,5,4,7,3,3,2,6,2,2,3,6,2,5,1,5,5,2,3,7,3,3,3,3,3,5,2,4,3,4,1,6,1,3,3,8,5,4,1,3,3,4,2,8,1,3,5,3,1,3,2,6,4,3,1,4,3,4,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,2,3,2,6,3,2,2,7,1,4,2,5,4,2,2,7,2,5,4,4,2,5,3,4,3,3,1,5,2,3,4,5,4,5,2,3,2,4,2,7,3,3,4,4,2,4,3,12,5,3,1,6,2,3,2,4,2,6,3,4,4,2,4,6,2,2,4,6,1,3,1,4,4,3,2,7,3,4,3,6,2,5,2,3,4,4,2,6,2,2,2,4,4,4,1,7,2,3,2,4,2,3,6,6,3,3,2,5,3,4,2,10,2,2,3,3,2,6,2,5,4,2,2,6,2,2,4,6,3,6,3,4,3,3,1,5,1,5,4,4,1,3,5,7,3,3,1,6,1,4,4,6,2,3,1,4,4,3,2,6,3,4,4,4,1,5,2,6,2,3,2,4,5,3,4,8,3,5,2,6,3,3,2,8,2,3,3,4,2,4,1,5,5,3,3,5,1,3,3,5,3,4,3,3,2,4,2,9,1,3,6,4,2,4,2,5,3,4,3,5,1,3,4,5,2,4,1,5,6,2,1,6,3,2,3,5,2,7,2,7,2,4,4,4,2,4,3,5,2,5,2,3,4,3,2,7,3,3,2,3,2,3,4,5,5,4,1,8,1,2,3,7,2,4,2,4,2,5,1,6,3,2,5,3,2,3,2,7,2,2,1,8,4,5,4,5,2,4,2,4,3,2,2,10,2,3,4,4,2,4,2,5,4,4,1,5,1,4,4,7,1,4,3,5,3,2,4,7,1,2,3,3,4,5,2,6,4,4,1,5,3,2,4,4,1,6,1,6,3,3,1,7,3,3,4,4,2,4,2,5,2,3,3,5,2,2,2,9,3,3,3,4,6,3,1,7,1,4,2,4,1,6,3,5,3,2,3,5,2,4,3,4,5,4,2,3,3,4,2,9,2,2,4,5,2,3,2,5,4,2,4,5,3,2,4,6,1,7,1,3,3,3,2,6,3,4,4,5,2,4,2,9,4,3,2,5,3,3,3,5,1,4,3,3,3,3,3,8,3,5,2,3,3,8,1,4,2,3,3,5,2,2,5,7,2,4,3,5,3,3,2,7,2,4,2,4,2,4,1,6,6,2,2,5,3,2,2,6,2,5,2,4,4,3,3,8,1,4,3,4,2,5,3,5,2,2,2,7,2,2,3,6,3,4,3,4,3,6,2,5,2,3,6,3,2,4,2,8,2,3,2,4,2,2,6,6,2,4,1,3,4,4,3,8,1,2,3,4,2,4,3,5,5,3,1,5,1,5,3,10,2,5,2,4,3,3,2,7,3,3,3,5,3,3,2,5,2,3,3,7,1,2,3,4,2,5,2,5,4,3,2,7,5,3,2,4,1,5,3,5,2,3,3,5,2,4,4,6,1,4,1,4,4,4,1,8,1,5,4,4,3,4,2,8,4,3,1,6,1,3,2,5,4,4,4,4,4,3,1,6,2,3,7,3,2,4,1,5,4,3,1,5,2,3,3,8,3,5,2,3,4,2,3,5,2,3,2,6,2,7,3,6,4,2,2,5,3,3,5,4,2,3,2,5,3,3,1,11,2,3,3,3,3,4,1,4,7,4,1,4,3,3,3,5,3,4,2,5,2,3,1,7,3,2,3,4,2,5,3,6,3,4,4,6,2,3,2,6,1,4,2,4,5,4,1,7,2,4,4,4,1,4,3,5,3,2,2,6,2,2,5,7,2,4,1,5,3,4,3,6,2,3,4,3,3,3,3,9,3,3,2,4,3,2,4,4,1,8,1,4,3,3,2,7,1,2,3,6,4,5,2,4,4,3,2,6,2,3,3,6,2,3,3,3,4,2,3,7,1,4,3,4,2,5,1,9,5,5,2,4,2,3,4,6,1,4,3,4,2,2,2,8,3,2,3,3,2,5,2,6,4,2,3,5,2,4,2,7,1,4,2,5,4,2,3,6,2,4,6,4,2,3,3,5,3,6,2,7,1,3,3,4,3,4,3,3,4,3,2,9,2,2,4,4,2,6,3,6,2,3,1,6,5,4,3,5,1,4,3,3,3,3,3,7,2,2,2,5,3,4,1,6,5,3,3,4,2,5,2,4,2,6,3,4,2,3,2,7,3,2,4,5,3,3,2,5,3,3,2,8,2,3,6,9,2,3,1,4,3,3,2,5,3,3,3,3,4,5,2,7,3,3,3,6,3,3,4,6,2,4,2,3,3,2,1,9,3,5,3,4,1,3,3,4,4,2,2,5,1,3,3,6,3,6,1,4,3,5,2,5,2,2,5,4,2,4,2,8,4,2,2,5,4,2,2,4,2,6,1,6,5,3,3,7,1,3,3,6,2,5,2,5,3,3,2,5,1,4,4,7,3,4,3,4,4,2,2,9,2,3,3,3,3,3,3,5,4,3,2,4,2,5,3,5,1,5,1,5,4,3,2,16,2,4,5,4,2,5,2,4,2,2,4,5,1,4,3,6,1,4,1,4,6,3,1,6,3,3,3,5,2,6,3,7,2,2,2,6,2,2,5,5,4,4,1,4,2,5,2,7,2,2,4,4,2,5,2,5,4,4,3,5,3,3,2,8,1,5,4,3,4,3,4,5,1,3,4,4,2,4,2,7,4,2,1,6,1,3,2,6,2,5,3,4,5,2,2,9,2,2,2,4,2,6,1,4,2,4,1,5,3,2,10,5,3,4,1,6,3,2,3,6,4,3,4,4,1,5,2,8,3,4,2,5,2,3,4,6,5,5,1,3,3,2,2,7,2,5,3,4,1,4,4,5,3,3,1,6,2,4,3,7,3,3,1,4,5,4,2,6,1,3,5,4,3,4,1,6,3,3,3,5,2,3,4,5,2,6,1,3,2,5,2,11,2,3,2,6,2,3,2,5,5,2,1,4,2,3,3,6,3,5,4,4,2,4,1,6,2,2,5,3,4,3,4,6,2,4,2,7,1,3,3,5,2,4,3,5,3,3,1,6,2,3,3,4,4,7,2,5,5,2,3,5,2,2,4,11,1,3,1,4,3,4,2,7,2,3,4,4,1,4,3,6,5,3,2,6,2,3,3,4,2,4,2,5,3,3,2,8,2,2,5,4,1,3,2,7,3,3,2,7,4,3,2,5,2,5,2,4,3,2,4,6,2,3,3,4,1,4,3,8,5,3,1,4,3,4,5,4,2,4,2,3,5,3,1,8,1,4,3,5,3,4,2,6,4,4,3,4,2,3,3,6,2,8,2,4,2,2,1,5,3,2,4,4,1,6,2,6,3,3,3,5,2,2,4,5,2,3,2,3,6,5,3,9,1,4,3,4,3,4,2,6,3,3,2,7,2,3,4,6,3,3,3,3,3,3,1,7,1,4,3,5,1,3,2,7,4,3,2,5,4,2,2,6,1,5,1,3,2,2,5,8,1,2,6,4,2,4,2,4,4,3,3,6,2,6,2,7,3,4,2,4,3,4,2,6,3,4,3,3,2,6,2,5,4,5,2,4,1,4,5,4,3,4,1,5,3,2,2,10,3,2,4,3,2,5,3,5,4,3,2,4,2,3,2,8,1,5,2,4,4,3,1,6,1,4,3,4,3,4,2,10,2,2,3,8,2,2,2,5,4,5,2,4,4,3,2,7,3,2,4,3,1,6,2,6,3,3,2,4,3,3,5,6,1,5,2,4,3,4,3,6,4,2,3,4,3,3,2,6,6,2,1,6,1,3,2,5,1,5,5,4,3,3,3,9,2,4,3,4,2,3,1,5,4,5,2,6,1,3,4,6,1,4,1,6,7,2,3,6,3,3,2,4,1,6,1,7,2,4,3,4,3,2,4,5,2,3,4,4,4,2,1,8,1,4,4,3,3,4,3,5,3,4,1,6,2,3,4,8,4,5,1,4,2,4,2,7,1,2,5,5,2,3,3,6,2,2,1,5,2,3,3,5,3,4,2,4,4,4,4,7,2,4,2,6,1,7,3,4,3,3,3,5,2,4,4,6,1,4,3,3,2,2,1,9,2,3,3,4,2,4,2,9,5,3,2,5,1,3,5,4,1,4,2,4,3,4,1,6,4,3,3,4,4,4,2,4,3,4,3,7,2,3,2,7,1,4,2,4,5,2,3,5,2,5,3,3,1,4,3,6,4,2,2,6,3,2,5,6,2,5,2,3,2,3,2,11,2,2,4,5,2,5,1,5,4,3,1,5,4,4,2,6,1,6,2,4,4,2,2,5,2,2,6,5,2,4,1,7,3,3,3,5,1,5,2,5,2,3,3,4,4,2,1,8,2,3,4,3,5,4,5,4,3,4,1,5,1,4,4,7,1,5,1,4,3,3,2,10,3,3,2,4,1,5,3,5,4,3,3,4,2,3,2,6,3,5,2,4,4,3,2,7,3,4,4,3,1,3,3,7,3,3,3,7,1,3,3,5,3,4,3,4,4,5,1,5,2,2,4,3,3,6,3,10,3,3,3,5,2,2,4,4,3,4,2,4,2,3,2,8,2,4,2,6,2,4,1,5,8,2,2,4,3,3,4,7,1,5,3,3,3,4,2,6,1,4,3,4,3,5,2,5,2,5,1,6,3,2,4,5,1,4,1,5,4,3,2,9,2,2,4,5,2,5,2,4,2,4,5,4,1,2,4,7,3,3,2,3,3,3,2,7,1,3,3,4,2,5,3,7,5,3,2,6,2,4,3,4,2,6,2,5,3,3,2,6,2,4,4,4,1,3,2,6,2,3,3,6,4,2,3,11,2,6,2,4,5,2,2,5,3,2,2,4,3,4,2,6,4,3,1,5,1,4,5,5,2,4,3,4,2,4,2,10,2,2,3,3,4,3,1,4,4,4,1,7,2,3,6,5,1,4,2,4,3,4,3,6,4,4,6,3,2,4,1,7,3,2,3,6,1,3,3,7,1,3,2,3,5,3,3,7,1,3,3,4,2,6,3,6,3,3,2,5,3,2,3,7,4,4,2,5,4,4,1,6,2,3,4,3,2,3,1,7,5,3,2,4,2,3,2,5,2,7,2,5,2,2,2,10,2,3,4,4,2,5,3,4,4,3,2,7,1,6,3,5,2,4,4,4,4,2,2,6,2,2,2,6,3,4,1,6,3,3,3,4,2,2,6,4,1,5,3,6,3,4,2,7,3,3,3,3,2,5,2,5,3,2,3,4,3,3,4,8,2,6,1,4,4,3,1,7,1,4,3,4,3,4,3,5,2,3,2,7,4,3,2,5,3,4,2,4,5,5,1,8,2,4,3,3,2,4,1,6,4,3,1,4,2,2,5,7,2,4,1,5,2,2,4,7,1,2,3,5,1,4,3,9,4,4,2,5,3,4,3,5,3,5,2,4,2,3,2,8,2,2,6,4,3,4,1,4,2,4,1,5,3,2,4,7,4,3,3,5,3,2,1,6,4,3,3,3,2,8,3,6,2,3,2,6,2,4,3,6,2,3,1,4,5,2,2,9,2,4,3,4,2,4,3,4,4,3,3,6,1,2,3,5,3,6,1,3,2,3,4,5,3,4,5,3,2,4,1,8,3,4,2,7,2,2,4,5,1,4,2,3,5,3,3,7,2,3,3,5,2,5,2,6,5,2,1,5,1,5,5,9,1,3,5,4,3,3,1,7,1,4,3,4,3,4,2,6,4,3,3,4,1,3,4,6,2,5,2,4,2,2,2,7,2,3,3,4,2,7,2,5,3,2,3,6,2,3,3,7,1,4,2,5,5,3,1,5,3,4,3,3,2,5,4,7,3,3,2,5,3,2,3,4,3,3,1,5,4,4,2,10,1,3,3,4,2,3,3,6,4,3,3,4,2,3,4,6,1,5,2,3,5,4,2,5,1,3,4,6,2,4,1,6,6,4,3,6,1,4,3,4,1,4,3,4,3,2,1,12,3,2,3,4,3,6,3,5,3,4,2,5,2,2,5,6,2,5,1,4,2,4,2,7,2,4,2,3,3,4,1,6,7,2,5,6,1,2,4,6,1,5,3,3,3,2,2,6,3,4,4,5,2,3,2,4,4,3,2,8,1,4,2,8,4,3,1,3,4,4,3,6,3,2,3,3,2,6,2,6,3,3,1,5,4,3,4,4,1,4,2,5,2,3,4,8,3,3,3,5,2,3,2,6,4,5,2,4,2,4,2,5,3,6,2,3,4,4,2,8,1,3,4,4,2,3,2,9,3,4,1,5,2,4,5,4,2,4,3,4,6,2,2,6,2,2,2,4,1,6,1,5,2,4,3,5,3,2,4,10};
const int maxn=1e5+10;
int a[maxn];

signed main()
{
	ios::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);
	
	int n;
	cin>>n;
	for(int i=1;i<=n;i++) cin>>a[i];
	int sum=0;
	for(int i=1;i<=n;i++) sum^=sg[a[i]];
	if(sum) cout<<"Anna"<<endl;
	else cout<<"Bruno"<<endl;
	
	
	
	return 0;
}