[Link] https://www.acmicpc.net/problem/12852
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import java.util.*;
import java.io.*;
public class Main {
static BufferedReader br;
static int max = 0, maxIdx = 0;
public static void main(String[] args) throws IOException {
br = new BufferedReader(new InputStreamReader(System.in));
StringBuilder sb = new StringBuilder();
String[] line;
int n = toi(br.readLine());
int[][] dp = new int[1000001][2];
ArrayList<Integer> al = new ArrayList<>();
dp[1][0] = 0;
al.add(1);
loop: while(true) {
ArrayList<Integer> temp = new ArrayList<>();
for(int e : al) {
int v = dp[e][0];
if(e == n) {
sb.append(v).append("\n");
while(true) {
sb.append(e).append(" ");
if(dp[e][1] == 0) break loop;
e = dp[e][1];
}
}
if(3*e <= n && dp[3*e][0] == 0) {
dp[3*e][0] = v + 1;
dp[3*e][1] = e;
temp.add(3 * e);
}
if(2*e <= n && dp[2*e][0] == 0) {
dp[2*e][0] = v + 1;
temp.add(2 * e);
dp[2*e][1] = e;
}
if(e+1 <= n && dp[e+1][0] == 0) {
dp[e+1][0] = v + 1;
temp.add(e+1);
dp[e+1][1] = e;
}
}
al = temp;
}
print(sb);
}
static int toi(String s) { return Integer.parseInt(s); }
static String[] getLine() throws IOException { return br.readLine().split(" "); }
static <T> void print(T s) { System.out.print(s); }
static <T> void println(T s) { System.out.println(s); }
}