#include <bits/stdc++.h>   using namespace std;   const int N = (int)1e5 + 10;   const int M = 20;   vector<int> soln[M][M];   int compute(vector<int> sha) {     vector<int> sz(sha.size(), 1);     vector<int> out[sha.size()];     for (int i = sha.size() - 1; i > 0; i--) {       sz[sha[i]] += sz[i];       out[sha[i]].push_back(i);     }     int l1, l2;     int bb = 0;     for (int i = 0; i < sha.size(); i++) {       if (out[i].size() == 2) {         l1 = sz[out[i][0]];         l2 = sz[out[i][1]];         if (l1 > l2) swap(l1, l2);         if (l1 * 2 <= l2) {           bb++;         }       }     }     return bb;   }   void brute(int cid, vector<int> pp) {     if (cid == pp.size()) {       int bal = compute(pp);       soln[pp.size()][bal] = pp;       return;     }     brute(cid + 1, pp);     if (pp.size() + 2 < M) {       pp.push_back(cid);       pp.push_back(cid);       brute(cid + 1, pp);     }   }   bool ish(int n) {     if ((n & (n + 1)) == 0) {       return true;     }     return false;   }   int res[N];   bool valid(int n, int s1, int s2) {     if (s1 > s2) swap(s1, s2);     if (ish(s1) && ish(s2)) return false;     int cn = !ish(s1) + !ish(s2) + (s1 * 2 <= s2);     if (cn > 1) return false;     return true;   }   int cnt = 1;   void bins(int n, int c) {     int root = cnt;     res[cnt] = c;     cnt++;     if (n == 1) {       return;     }     bins(n / 2, root);     bins(n / 2, root);   }   void solve1(int n, int c) {     int root = cnt;     cnt++;     res[root] = c;     int k = 1;     while ((k * 2 - 1) < n) {       k *= 2;     }     int sz1 = (k - 1);     int sz2 = (n - 1 - sz1);     if (!valid(n, sz1, sz2)) {       k /= 2;       sz1 = k - 1;       sz2 = (n - 1 - sz1);     }     if (ish(sz1))       bins(sz1, root);     else       solve1(sz1, root);     if (ish(sz2))       bins(sz2, root);     else       solve1(sz2, root);   }   void extend(vector<int> pp, int c) {     res[cnt] = c;     for (int i = 1; i < pp.size(); i++) {       res[cnt + i] = pp[i] + cnt;     }     cnt += pp.size();   }   int main() {     ios::sync_with_stdio(false);     cin.tie(0);     cout.tie(0);     cout.tie(0);     ;     int n, k;     cin >> n >> k;     if (n % 2 == 0) {       cout <<  NO n ;       return 0;     }     if (k > max((n - 3) / 2, 0)) {       cout <<  NO n ;       return 0;     }     brute(0, {-1});     int par = 0;     while (n > M && k > 1) {       if (k == 2) {         if (!ish(n - 2)) {           n -= 2;           res[cnt + 1] = cnt;           res[cnt + 2] = cnt;           par = cnt;           cnt += 2;         } else {           n -= 4;           res[cnt + 1] = cnt;           res[cnt + 2] = cnt + 1;           res[cnt + 3] = cnt + 1;           res[cnt + 4] = cnt;           par = cnt;           cnt += 4;         }       } else {         n -= 2;         res[cnt + 1] = cnt;         res[cnt + 2] = cnt;         par = cnt;         cnt += 2;       }       k--;     }     if (k == 0) {       if (!ish(n)) {         cout <<  NO n ;         return 0;       }       bins(n, par);     } else if (k == 1) {       if (ish(n)) {         cout <<  NO n ;         return 0;       }       solve1(n, par);     } else {       if (soln[n][k].empty()) {         cout <<  NO n ;         return 0;       }       extend(soln[n][k], par);     }     cout <<  YES n ;     for (int i = 1; i < cnt; i++) {       cout << res[i] <<    ;     }     cout <<   n ;     return 0;   }