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//while (clock()<=69*CLOCKS_PER_SEC)
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace __gnu_pbds;
using namespace std;

template <typename T>
using ordered_set =
    tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
  enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifdef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
  ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
  *this << "[";
  for (auto it = d.b; it != d.e; ++it)
    *this << ", " + 2 * (it == d.b) << *it;
  ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "

#define shandom_ruffle random_shuffle

void nope()
{
	printf("NIE\n");
	exit(0);
}

const int nax=1000*1007;
const int n1=(1<<18);

int n;
long long k;

long long cel;

int kt[nax];

map <int,long long> dp[nax];

long long wzo[nax];

int drz[nax];

long long dod(long long a, long long b)
{
	return min(k, a+b);
}

long long licz(int v, long long inw)
{
	if (!v)
		return 1;
	if (dp[v].count(inw))
		return dp[v][inw];
	int dol=max(0LL, inw-wzo[v-1]);
	int gor=min(v-1LL, inw);
	long long ret=0;
	for (int i=dol; i<=gor && ret<k; i++)
		ret=dod(ret, licz(v-1, inw-i));
	dp[v][inw]=ret;
	return ret;
}

void start(int v, int dlu)
{
	drz[v]=dlu;
	if (dlu)
	{
		start((v<<1), dlu>>1);
		start((v<<1)^1, dlu>>1);
	}
}

void zgas(int v)
{
	v+=n1-1;
	while(v)
	{
		drz[v]--;
		v>>=1;
	}
}

int szuk(int v, int a, int b, int kt)
{
	if (a==b)
		return a;
	if (drz[v<<1]>=kt)
		return szuk((v<<1), a, (a+b)>>1, kt);
	return szuk((v<<1)^1, (a+b+2)>>1, b, kt-drz[v<<1]);
}

int main()
{
	scanf("%d%lld", &n, &k);
	start(1, n1);
	for (int i=1; i<=n; i++)
		wzo[i]=wzo[i-1]+i-1;
	cel=wzo[n];
	if (cel&1)
		nope();
	cel/=2;
	if (licz(n, cel)<k)
		nope();
	printf("TAK\n");
	for (int i=n; i; i--)
	{
		int dol=max(0LL, cel-wzo[i-1]);
		int gor=min(i-1LL, cel);
		for (int j=dol; j<=gor; j++)
		{
			long long w=licz(i-1, cel-j);
			if (w>=k)
			{
				int x=szuk(1, 1, n1, j+1);
				zgas(x);
				printf("%d ", x);
				cel-=j;
				break;
			}
			k-=w;
		}
	}
	printf("\n");
	return 0;
}