import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } /* -2: all 0 -1: all 1 */ int[] solve(int N, int K) { auto dp = new int[N + 1]; auto kss = new int[][N + 1]; foreach (n; 0 .. N + 1) { if (kss[n].length == 0) { dp[n] = -2; foreach (k; 1 .. K + 1) { if (n + k <= N) { kss[n + k] ~= k; } } } else if (kss[n].length == 1) { const k = kss[n][0]; dp[n] = k; if (n + k <= N) { kss[n + k] ~= k; } } else { dp[n] = -1; } } return dp; } void main() { debug {{ enum lim = 20; foreach (k; 1 .. 10 + 1) { writeln("k = ", k); auto dp = new bool[][](lim + 1, k + 1); foreach (n; 0 .. lim + 1) { foreach (a; 0 .. k + 1) { foreach (b; 1 .. k + 1) if (a != b) { if (n - b >= 0 && !dp[n - b][b]) { dp[n][a] = true; } } } } foreach (n; 0 .. lim + 1) { writef("%2d: ", n); foreach (a; 0 .. k + 1) { write(dp[n][a] ? 1 : 0); } writeln; } const res = solve(lim, k); foreach (n; 0 .. lim + 1) { foreach (a; 0 .. k + 1) { assert(dp[n][a] == !(res[n] == -2 || res[n] == a)); } } } }} try { for (; ; ) { const N = readInt() - 1; const K = readInt(); const res = solve(N, K); debug { writeln(res); } bool win; foreach (k; 1 .. K + 1) { if (res[N - k] == -2 || res[N - k] == k) { win = true; writeln(k); } } if (!win) { writeln(0); } } } catch (EOFException e) { } }