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Cod sursa(job #749079)
/*
#include <cstdio>
#include <vector>
#include <algorithm>
using namespace std;
const int MAX_N = 20;
int n, K;
vector<int> v;
bool valid(int st, int dr)
{
if (st >= dr) return true;
int m;
for (m = st + 1; m <= dr; ++m)
if (v[m] > v[st]) breaK;
for (int i = m; i <= dr; ++i)
if (v[i] < v[st]) return false;
return valid(st + 1, m-1) && valid(m, dr);
}
int main()
{
freopen("planeta.in", "r", stdin);
freopen("planeta.out", "w", stdout);
int K2;
scanf("%d %d", &n, &K2);
for (K=1;K<=K2;++K)
{
for (int i = 1; i <= n; ++i)
v.push_bacK(i);
int cnt = 0;
do {if (valid(0, n-1)) ++cnt;
if (cnt == K) breaK; }
while (next_permutation(v.begin(), v.end()));
for (int i = 0; i < n; ++i)
printf("%d ", v[i]);
printf("\n");
for (int i = 1; i <= n; ++i)
v.pop_bacK();
}
}
*/
#include<cstdio>
long long Best[35];
void Solve(long long x,long long y,long long K)
{
if (x>y) return;
if (x==y){printf("%lld ",x);return;}
long long p=0,i;
for( i=x;i<=y;++i )
if( ( p+=Best[i-x]*Best[y-i] ) >= K )
{
p-=Best[i-x]*Best[y-i];
break;
}
printf("%lld ",i);
Solve( x,i-1, (K-p-1)/Best[y-i]+1 );
Solve( i+1,y, (K-p-1)%Best[y-i]+1 );
}
int main()
{
long long n,i,j,K;
freopen("planeta.in","r",stdin);
freopen("planeta.out","w",stdout);
scanf("%lld%lld",&n,&K);
Best[0]=1;
for( i=1;i<=n;++i )
for( j=0;j<i;++j )
Best[i]+=Best[j]*Best[i-j-1];
Solve(1,n,K);
printf("\n");
return 0;
}