/** * author: otera * created: 08.12.2021 11:22:51 **/ #include #include using namespace std; using ll = long long; using ld = long double; using ull = unsigned long long; using uint = unsigned; #define repa(i, n) for(int i = 0; i < n; ++ i) #define repb(i, a, b) for(int i = a; i < b; ++ i) #define repc(i, a, b, c) for(int i = a; i < b; i += c) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, repc, repb, repa)(__VA_ARGS__) #define rep1a(i, n) for(int i = 0; i <= n; ++ i) #define rep1b(i, a, b) for(int i = a; i <= b; ++ i) #define rep1c(i, a, b, c) for(int i = a; i <= b; i += c) #define rep1(...) overload4(__VA_ARGS__, rep1c, rep1b, rep1a)(__VA_ARGS__) #define per(i,n) for(int i=n-1;i>=0;i--) #define per1(i,n) for(int i=n;i>=1;i--) typedef pair P; typedef pair LP; #define pb push_back #define eb emplace_back #define fr first #define sc second #define all(c) c.begin(),c.end() #define lb(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define ub(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define Sort(a) sort(all(a)) #define Rev(a) reverse(all(a)) #define Uniq(a) sort(all(a));a.erase(unique(all(a)),end(a)) #define si(c) (int)(c).size() inline ll popcnt(ull a){ return __builtin_popcountll(a); } #define tpow(n) (1LL<<(n)) #define unless(A) if(!(A)) ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; } ll intpow(ll a, ll b, ll m) {ll ans = 1; while(b){ if(b & 1) (ans *= a) %= m; (a *= a) %= m; b /= 2; } return ans; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } #define INT(...) int __VA_ARGS__;in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;in(__VA_ARGS__) #define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__) #define STR(...) string __VA_ARGS__;in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;in(__VA_ARGS__) #define LD(...) ld __VA_ARGS__;in(__VA_ARGS__) #define vec(type,name,...) vectorname(__VA_ARGS__) #define VEC(type,name,size) vectorname(size);in(name) #define vv(type,name,h,...) vector>name(h,vector(__VA_ARGS__)) #define VV(type,name,h,w) vector>name(h,vector(w));in(name) #define vvv(type,name,h,w,...) vector>>name(h,vector>(w,vector(__VA_ARGS__))) template using vc = vector; template using vvc = vector>; template using vvvc = vector>; template using vvvvc = vector>; template using pq = priority_queue; template using pqg = priority_queue, greater>; template void scan(T& a){ cin >> a; } template void scan(vector& a){ for(auto&& i : a) scan(i); } void in(){} template void in(Head& head, Tail&... tail){ scan(head); in(tail...); } void print(){ cout << ' '; } template void print(const T& a){ cout << a; } template void print(const vector& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout << ' '; print(*i); } } int out(){ cout << '\n'; return 0; } template int out(const T& t){ print(t); cout << '\n'; return 0; } template int out(const Head& head, const Tail&... tail){ print(head); cout << ' '; out(tail...); return 0; } #define CHOOSE(a) CHOOSE2 a #define CHOOSE2(a0,a1,a2,a3,a4,x,...) x #define debug_1(x1) cout<<#x1<<": "< struct BIT { Abel UNITY_SUM = 0; vector dat[2]; // [0, n) BIT(int n, Abel unity = 0) : UNITY_SUM(unity) { init(n); } void init(int n) { for (int iter = 0; iter < 2; ++iter) dat[iter].assign(n + 1, UNITY_SUM); } // [a, b), a and b are 0-indexed inline void sub_add(int p, int a, Abel x) { for (int i = a; i < (int)dat[p].size(); i |= i + 1) dat[p][i] = dat[p][i] + x; } inline void add(int a, int b, Abel x) { sub_add(0, a, x * (-a)); sub_add(1, a, x); sub_add(0, b, x * b); sub_add(1, b, x * (-1)); } // [a, b), a and b are 0-indexed inline Abel sub_sum(int p, int a) { Abel res = UNITY_SUM; for (int i = a - 1; i >= 0; i = (i & (i + 1)) - 1) res = res + dat[p][i]; return res; } inline Abel sum(int a, int b) { return sub_sum(0, b) + sub_sum(1, b) * b - sub_sum(0, a) - sub_sum(1, a) * a; } // debug void print() { for (int i = 0; i < (int)dat[0].size(); ++i) cout << sum(i, i + 1) << ","; cout << endl; } }; using S = int; using F = int; const S INF = 8e8; const F ID = 8e8; S op(S a, S b){ return std::max(a, b); } S e(){ return -INF; } S mapping(F f, S x){ return (f == ID ? x : f); } F composition(F f, F g){ return (f == ID ? g : f); } F id(){ return ID; } void solve() { INT(n, k); // DP: O(NK^2) // { // map memo; // auto dfs = [&](auto&&dfs, int num, int pre) -> bool { // P key = {num, pre}; // if(memo.count(key)) return memo[key]; // bool res = 0; // if(num <= 0) return true; // for(int i = 1; i <= k; ++ i) { // if(i == pre) continue; // if(num - i <= 0) continue; // else if(not dfs(dfs, num - i, i)) res |= 1; // } // return memo[key] = res; // }; // for(int i = 0; i <= k; ++ i) { // for(int j = 0; j <= n; ++ j) { // cout << dfs(dfs, j, i) << " "; // } // cout << endl; // } // } { BIT bit(n + k + 1); vc v(n + k + 1, -1); vc ks(n + 1, -1); atcoder::lazy_segtree seg(v); vc win(n + 1, 0); win[0] = 1; for(int i = 1; i <= n; ++ i) { int sum = bit.sum(i, i + 1); if(sum == 0) { // lose ks[i] = ID; bit.add(i + 1, i + k + 1, 1); seg.apply(i + 1, i + k + 1, i); } else if(sum == 1) { win[i] = 1; int id = seg.get(i); ks[i] = i - id; assert(id != -1); bit.add(i + ks[i], i + ks[i] + 1, 1); seg.apply(i + ks[i], i + ks[i] + 1, i); } else { // win win[i] = 1; } debug(i, ks[i]); } if(!win[n]) out(0); else { vc ans; for(int j = n - 1; j >= n - k and j >= 0; -- j) { debug(j, ks[j]); if(ks[j] == ID or j + ks[j] == n) { ans.eb(n - j); } } for(int x: ans) { out(x); } } } } signed main() { ios::sync_with_stdio(false); cin.tie(0); // cout << fixed << setprecision(20); // INT(t); rep(i, t)solve(); solve(); return 0; }