Red Huang

//====================================================================||  
//                                                                    ||  
//                                                                    ||  
//                         Author : GCA                               ||  
//                  6AE7EE02212D47DAD26C32C0FE829006                  ||  
//====================================================================||  
#include <iostream>  
#include <cstdio>  
#include <cstring>  
#include <algorithm>  
#include <cmath>  
#include <climits>  
#include <vector>  
#include <set>  
#include <map>  
#include <queue>  
#include <cctype>  
#include <utility>  
using namespace std;  
#ifdef ONLINE\_JUDGE  
#define ll "%lld"  
#else  
#define ll "%I64d"  
#endif  
typedef unsigned int uint;  
typedef long long int Int;  
#define Set(a,s) memset(a,s,sizeof(a))  
#define Write(w) freopen(w,"w",stdout)  
#define Read(r) freopen(r,"r",stdin)  
#define Pln() printf("\\n")  
#define I\_de(x,n)for(int i=0;i<n;i++)printf("%d ",x\[i\]);Pln()  
#define De(x)printf(#x"%d\\n",x)  
#define For(i,x)for(int i=0;i<x;i++)  
#define CON(x,y) x##y  
#define Pmz(dp,nx,ny)for(int hty=0;hty<ny;hty++){for(int htx=0;htx<nx;htx++){\\  
    printf("%d ",dp\[htx\]\[hty\]);}Pln();}  
#define M 2000  
#define PII pair<int,int\>  
#define PB push\_back  
#define oo INT\_MAX  
#define Set\_oo 0x3f  
#define Is\_debug true  
#define debug(...) if(Is\_debug)printf("DEBUG: "),printf(\_\_VA\_ARGS\_\_)  
#define FOR(it,c) for(\_\_typeof((c).begin()) it=(c).begin();it!=(c).end();it++)  
#define eps 1e-6  
bool xdy(double x,double y){return x>y+eps;}  
bool xddy(double x,double y){return x>y-eps;}  
bool xcy(double x,double y){return x<y-eps;}  
bool xcdy(double x,double y){return x<y+eps;}  
int min3(int x,int y,int z){  
    int tmp=min(x,y);  
    return min(tmp,z);  
}  
int max3(int x,int y,int z){  
    int tmp=max(x,y);  
    return max(tmp,z);  
}  
char str\[M\];  
char str2\[M\];  
void add(char a\[\],char ans\[\],int b){  
    int n=strlen(a);  
    int c=0;  
    for(int i=0;i<n;i++){  
        if(a\[i\]>='A')a\[i\]=a\[i\]-'A'+10;  
        else a\[i\]-='0';  
    }  
    for(int i=0;i<n;i++){  
        int tmp=a\[i\]+a\[n-i-1\]+c;  
        c=tmp/b;  
        ans\[i\]=tmp%b;  
        if(ans\[i\]==10)ans\[i\]='A';  
        else if(ans\[i\]==11)ans\[i\]='B';  
        else if(ans\[i\]==12)ans\[i\]='C';  
        else if(ans\[i\]==13)ans\[i\]='D';  
        else if(ans\[i\]==14)ans\[i\]='E';  
        else ans\[i\]+='0';  
    }  
    ans\[n\]='';  
    if(c){  
        ans\[n\]='0'+c;  
        ans\[n+1\]='';  
    }  
}  
bool check(char a\[\]){  
    int n=strlen(a);  
    for(int i=0;i<n;i++){  
        if(a\[i\]!=a\[n-i-1\])return false;  
    }  
    return true;  
}  
bool over(char a\[\],int b){  
    char c\[M\];  
    strcpy(c,a);  
    int n=strlen(c);  
    for(int i=0;i<n;i++){  
        if(c\[i\]=='A')c\[i\]=10;  
        else if(c\[i\]=='B')c\[i\]=11;  
        else if(c\[i\]=='C')c\[i\]=12;  
        else if(c\[i\]=='D')c\[i\]=13;  
        else if(c\[i\]=='E')c\[i\]=14;  
        else c\[i\]-='0';  
        if(c\[i\]>=b)return true;  
    }  
    return false;  
}  
int main() {  
    ios\_base::sync\_with\_stdio(0);  
    int ans\[16\];  
    char ostr\[M\];  
    while(~scanf("%s",str)){  
        strcpy(ostr,str);  
        for(int i=0;i<16;i++)ans\[i\]=-1;  
        for(int i=15;i>=2;i--){  
            if(over(ostr,i))break;  
            strcpy(str,ostr);  
            int cnt;  
            for(cnt=0;;cnt++){  
                if(check(str))break;  
                add(str,str2,i);  
//                puts(str2);  
                strcpy(str,str2);  
            }//puts("");  
            ans\[i\]=cnt;  
        }  
        for(int i=15;i>2;i--){  
            if(ans\[i\]!=-1)printf("%d ",ans\[i\]);  
            else printf("? ");  
        }  
        if(ans\[2\]!=-1)printf("%d\\n",ans\[2\]);  
        else printf("?\\n");  
    }  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
}