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#include <vector>

#include <list>

#include <map>

#include <set>

#include <deque>

#include <stack>

#include <bitset>

#include <algorithm>

#include <functional>

#include <numeric>

#include <utility>

#include <sstream>

#include <iostream>

#include <iomanip>

#include <cstdio>

#include <cmath>

#include <cstdlib>

#include <ctime>

using namespace std;

class NumberSplit {

public:

int longestSequence(int);

};

vector <int> to_vector(int s){

vector<int> t;

while(s){

t.push_back(s%10);

s/=10;

}

reverse(t.begin(), t.end());

return t;

}

int to_int(vector<int> &t, int i, int j){

int sum = 0;

for(int k=i; k<=j; k++){

sum = sum*10+t[k];

}

return sum;

}

const int MAXN = 100001;

const int INF = 999999999;

int dp[MAXN];

vector<int> tmp;

void generator(vector<int> &s, int all, int pos, int pre, int sz){

if(sz==pos){

tmp.push_back(all);

return ;

}

int yes = pre*10+s[pos];

int no = s[pos];

generator(s, all ,pos+1, yes, sz);

generator(s, all*pre, pos+1, no, sz);

}

int dfs(int s){

if(s>=0 && s<10){

return 1;

}

if(dp[s]!=-1){

return dp[s];

}

vector<int> t = to_vector(s);

int sz = t.size();

int t_max = -INF;

for(int i=0; i<sz-1; i++){

int left = to_int(t, 0, i);

int right = to_int(t, i+1, sz-1);

int product = left*right;

int len = dfs(product)+1;

t_max = max(t_max, len);

}

dp[s] = t_max;

return dp[s];

}

int NumberSplit::longestSequence(int start) {

memset(dp,-1,sizeof(dp));

//vector<int> s = to_vector(start);

vector<int> tt = to_vector(start);

generator(tt, tt[0] ,1, tt[0], tt.size());

for(int i=0; i<tt.size(); i++){

cout<<tt[i]<<" ";

}cout<<endl;

return 1;

int ans = dfs(start);

return ans;

}

double test0() {

int p0 = 6;

NumberSplit * obj = new NumberSplit();

clock_t start = clock();

int my_answer = obj->longestSequence(p0);

clock_t end = clock();

delete obj;

cout <<"Time: " <<(double)(end-start)/CLOCKS_PER_SEC <<" seconds" <<endl;

int p1 = 1;

cout <<"Desired answer: " <<endl;

cout <<"\t" << p1 <<endl;

cout <<"Your answer: " <<endl;

cout <<"\t" << my_answer <<endl;

if (p1 != my_answer) {

cout <<"DOESN'T MATCH!!!!" <<endl <<endl;

return -1;

}

else {

cout <<"Match :-)" <<endl <<endl;

return (double)(end-start)/CLOCKS_PER_SEC;

}

}

double test1() {

int p0 = 97;

NumberSplit * obj = new NumberSplit();

clock_t start = clock();

int my_answer = obj->longestSequence(p0);

clock_t end = clock();

delete obj;

cout <<"Time: " <<(double)(end-start)/CLOCKS_PER_SEC <<" seconds" <<endl;

int p1 = 4;

cout <<"Desired answer: " <<endl;

cout <<"\t" << p1 <<endl;

cout <<"Your answer: " <<endl;

cout <<"\t" << my_answer <<endl;

if (p1 != my_answer) {

cout <<"DOESN'T MATCH!!!!" <<endl <<endl;

return -1;

}

else {

cout <<"Match :-)" <<endl <<endl;

return (double)(end-start)/CLOCKS_PER_SEC;

}

}

double test2() {

int p0 = 234;

NumberSplit * obj = new NumberSplit();

clock_t start = clock();

int my_answer = obj->longestSequence(p0);

clock_t end = clock();

delete obj;

cout <<"Time: " <<(double)(end-start)/CLOCKS_PER_SEC <<" seconds" <<endl;

int p1 = 5;

cout <<"Desired answer: " <<endl;

cout <<"\t" << p1 <<endl;

cout <<"Your answer: " <<endl;

cout <<"\t" << my_answer <<endl;

if (p1 != my_answer) {

cout <<"DOESN'T MATCH!!!!" <<endl <<endl;

return -1;

}

else {

cout <<"Match :-)" <<endl <<endl;

return (double)(end-start)/CLOCKS_PER_SEC;

}

}

double test3() {

int p0 = 876;

NumberSplit * obj = new NumberSplit();

clock_t start = clock();

int my_answer = obj->longestSequence(p0);

clock_t end = clock();

delete obj;

cout <<"Time: " <<(double)(end-start)/CLOCKS_PER_SEC <<" seconds" <<endl;

int p1 = 7;

cout <<"Desired answer: " <<endl;

cout <<"\t" << p1 <<endl;

cout <<"Your answer: " <<endl;

cout <<"\t" << my_answer <<endl;

if (p1 != my_answer) {

cout <<"DOESN'T MATCH!!!!" <<endl <<endl;

return -1;

}

else {

cout <<"Match :-)" <<endl <<endl;

return (double)(end-start)/CLOCKS_PER_SEC;

}

}

double test4() {

int p0 = 99999;

NumberSplit * obj = new NumberSplit();

clock_t start = clock();

int my_answer = obj->longestSequence(p0);

clock_t end = clock();

delete obj;

cout <<"Time: " <<(double)(end-start)/CLOCKS_PER_SEC <<" seconds" <<endl;

int p1 = 29;

cout <<"Desired answer: " <<endl;

cout <<"\t" << p1 <<endl;

cout <<"Your answer: " <<endl;

cout <<"\t" << my_answer <<endl;

if (p1 != my_answer) {

cout <<"DOESN'T MATCH!!!!" <<endl <<endl;

return -1;

}

else {

cout <<"Match :-)" <<endl <<endl;

return (double)(end-start)/CLOCKS_PER_SEC;

}

}

int main() {

int time;

bool errors = false;

time = test0();

if (time < 0)

errors = true;

time = test1();

if (time < 0)

errors = true;

time = test2();

if (time < 0)

errors = true;

time = test3();

if (time < 0)

errors = true;

time = test4();

if (time < 0)

errors = true;

if (!errors)

cout <<"You're a stud (at least on the example cases)!" <<endl;

else

cout <<"Some of the test cases had errors." <<endl;

}