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终于PASS了...#include <iostream>
using namespace std;
#define SIZE 20
#define a(length,x) a[length][x] //a(i,j)表示长为length,以x开头的前两个数呈上升的篱笆的个数
#define b(length,x) a[length][length-x+1] //b与a类似,前两个数呈下降。b矩阵每行是a矩阵每行的逆置
enum Direction{UP=0,DOWN};
__int64 a[SIZE+1][SIZE+1];
void init()
{
a(1,1)=1;
int row,col;
for(row=2;row<=SIZE;row++)
{
for(col=row-1;col>=1;col--)
{
a(row,col)=a(row,col+1)+b(row-1,col);
}
}
}
void searchNext(int length,__int64 order,int bound,Direction dict,int *m)
{
if(length==1)
{
int i=1;
while(m[i])
i++;
m[i]=1;
cout<<i<<" ";
return;
}
if(dict==UP)
{
int i=0;
do
{
i++;
order-=a(length,i);
}while(order>0);
order+=a(length,i);
int k=0;
for(int j=0;j<i;j++)
{
while(m[++k]);
}
m[k]=1;
cout<<k<<" ";
searchNext(length-1,order,i,DOWN,m);
}
else
{
int i=bound-1;
do
{
i++;
order-=b(length,i);
}while(order>0);
order+=b(length,i);
int k=0;
for(int j=0;j<i;j++)
{
while(m[++k]);
}
m[k]=1;
cout<<k<<" ";
searchNext(length-1,order,i,UP,m);
}
}
void search(int length,__int64 order)
{
//找第一个篱笆
if(length==1)
{
cout<<1;
return;
}
int m[21];
for(int i=1;i<=length;i++)
m[i]=0;
int first=0;
do
{
first++;
order=order-b(length,first)-a(length,first);
}while(order>0);
m[first]=1;
cout<<first<<" ";
//递归找下一个篱笆
Direction dict;
order=order+b(length,first)+a(length,first);
if(order-b(length,first)<=0)
{
dict=UP;
}
else
{
order=order-b(length,first);
dict=DOWN;
}
searchNext(length-1,order,first,dict,m);
}
int main()
{
init(); //初始化矩阵
int testCases;
cin>>testCases;
while(testCases--)
{
int length;
__int64 order;
cin>>length>>order;
search(length,order);
cout<<endl;
}
return 0;
}
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