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#include <bits/stdc++.h>
#define MP make_pair
#define PB push_back
#define int long long
#define st first
#define nd second
#define rd third
#define FOR(i, a, b) for(int i =(a); i <=(b); ++i)
#define RE(i, n) FOR(i, 1, n)
#define FORD(i, a, b) for(int i = (a); i >= (b); --i)
#define REP(i, n) for(int i = 0;i <(n); ++i)
#define VAR(v, i) __typeof(i) v=(i)
#define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i)
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())
using namespace std;
template<typename TH> void _dbg(const char* sdbg, TH h) { cerr<<sdbg<<"="<<h<<"\n"; }
template<typename TH, typename... TA> void _dbg(const char* sdbg, TH h, TA... t) {
  while(*sdbg != ',')cerr<<*sdbg++; cerr<<"="<<h<<","; _dbg(sdbg+1, t...);
}
#ifdef LOCAL
#define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__)
#define debugv(x) {{cerr <<#x <<" = "; FORE(itt, (x)) cerr <<*itt <<", "; cerr <<"\n"; }}
#else
#define debug(...) (__VA_ARGS__)
#define debugv(x)
#define cerr if(0)cout
#endif
#define next ____next
#define prev ____prev
#define left ____left
#define hash ____hash
typedef long long ll;
typedef long double LD;
typedef pair<int, int> PII;
typedef pair<ll, ll> PLL;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<ll> VLL;
typedef vector<pair<int, int> > VPII;
typedef vector<pair<ll, ll> > VPLL;

template<class C> void mini(C&a4, C b4){a4=min(a4, b4); }
template<class C> void maxi(C&a4, C b4){a4=max(a4, b4); }
template<class T1, class T2>
ostream& operator<< (ostream &out, pair<T1, T2> pair) { return out << "(" << pair.first << ", " << pair.second << ")";}
template<class A, class B, class C> struct Triple { A first; B second; C third;
  bool operator<(const Triple& t) const { if (st != t.st) return st < t.st; if (nd != t.nd) return nd < t.nd; return rd < t.rd; } };
template<class T> void ResizeVec(T&, vector<int>) {}
template<class T> void ResizeVec(vector<T>& vec, vector<int> sz) {
  vec.resize(sz[0]); sz.erase(sz.begin()); if (sz.empty()) { return; }
  for (T& v : vec) { ResizeVec(v, sz); }
}
typedef Triple<int, int, int> TIII;
template<class A, class B, class C>
ostream& operator<< (ostream &out, Triple<A, B, C> t) { return out << "(" << t.st << ", " << t.nd << ", " << t.rd << ")"; }
template<class T> ostream& operator<<(ostream& out, vector<T> vec) { out<<"("; for (auto& v: vec) out<<v<<", "; return out<<")"; }

const int N = 3e5 + 5;
const int M = 1 << 18;
int drz[2 * M + 5];
int GetKth(int k, int v) {
  if (v >= M) {
    return v - M;
  }
  if (drz[2 * v] >= k) {
    return GetKth(k, 2 * v);
  }
  return GetKth(k - drz[2 * v], 2 * v + 1);
}
void Add(int a, int v) {
  a += M;
  while (a) {
    drz[a] += v;
    a /= 2;
  }
}

const int kInf = 2e18;
struct CappedInt {
  int v;
};

CappedInt Add(CappedInt a, CappedInt b) {
  return {min(kInf, a.v + b.v)};
}
CappedInt Mult(CappedInt a, CappedInt b) {
  if (kInf / a.v < b.v + 2) {
    return {kInf};
  }
  return {min(kInf, a.v * b.v)};
}

const int MAGIC = 100;
int dp[MAGIC + 2][MAGIC * MAGIC];
int generated[N];
vector<VPII> partitions[N];
void GeneratePartitions(int sum, int rem, VPII so_far) {
  if (rem == 0) {
    partitions[sum].PB(so_far);
    return;
  }
  int biggest = sum;
  if (!so_far.empty()) {
    biggest = so_far.back().st;
  }
  RE (i, min(rem, biggest)) {
    VPII to_rec = so_far;
    if (!so_far.empty() && i == so_far.back().st) {
      to_rec.back().nd++;
    } else {
      to_rec.PB({i, 1});
    }
    GeneratePartitions(sum, rem - i, to_rec);
  }
}
    
int32_t main() {

  ios_base::sync_with_stdio(0);
  cout << fixed << setprecision(10);
  cerr << fixed << setprecision(10);
  cin.tie(0);
  //double beg_clock = 1.0 * clock() / CLOCKS_PER_SEC;
  
  dp[0][0] = 1;
  RE (i, MAGIC) {
    REP (j, i) {
      FOR (prv_inv, 0, i * i / 2) {
        int nxt = prv_inv + j;
        dp[i][nxt] = min(kInf, dp[i][nxt] + dp[i - 1][prv_inv]);
      }
    }
  }
  
  int n, to_omit;
  cin>>n>>to_omit;
  to_omit--;
  int all = n * (n - 1) / 2;
  if (all % 2) {
    cout<<"NIE\n";
    return 0;
  }
  RE (i, n) {
    Add(i, 1);
  }
  auto CountWithInv = [&](int len, int need_inv) {
    if (len <= MAGIC) {
      return dp[len][need_inv];
    }
    int oth = len * (len - 1) / 2;
    if (need_inv > oth - need_inv) {
      need_inv = oth - need_inv;
    }
    if (need_inv == 0) {
      return 1ll;
    }
    if (need_inv < 0) {
      return 0ll;
    }
    if (need_inv > 50) {
      return kInf;
    }
    if (!generated[need_inv]) {
      assert(need_inv < 70);
      GeneratePartitions(need_inv, need_inv, {});
      generated[need_inv] = 1;
    }
    int res = 0;
    for (auto partition : partitions[need_inv]) {
      CappedInt prod = {1};
      int rem = len;
      for (auto x : partition) {
        int elems = rem - x.st;
        if (elems < 0) {
          break;
        }
        if (prod.v == 0) { break; }
        RE (i, x.nd) {
          int to_div = i;
          int g1 = __gcd(to_div, prod.v);
          prod.v /= g1;
          to_div /= g1;
          int to_mul = elems / to_div;
          prod = Mult(prod, {to_mul});
          elems--;
        }
        rem -= x.nd;
      }
      res = min(kInf, res + prod.v);
    }
    return res;
  };
  
  int need_inv = all / 2;
  VI res;
  for (int len = n; len >= 1; len--) {
    int max_in_rem = (len - 1) * (len - 2) / 2;
    int cur = 1;
    if (max_in_rem < need_inv) {
      cur += need_inv - max_in_rem;
    }
    while (1) {
      int cntinv = CountWithInv(len - 1, need_inv - cur + 1);
      if (cntinv <= to_omit && cur <= len) {
        to_omit -= cntinv;
        cur++;
      } else {
        need_inv -= cur - 1;
        debug(cur);
        res.PB(GetKth(cur, 1));
        Add(res.back(), -1);
        break;
      }
    }
  }
  if (to_omit == 0) {
    cout<<"TAK\n";
    for (auto v : res) {
      cout<<v<<" ";
    }
    cout<<endl;
  } else {
    cout<<"NIE\n";
  }

  return 0;
}