UVa 355

#include <bits/stdc++.h>
// #include <iostream>
// #include <cstdio>
// #include <cstdlib>
// #include <algorithm>
// #include <cmath>
// #include <vector>
// #include <set>
// #include <map>
// #include <queue>
// #include <ctime>
// #include <cassert>
// #include <complex>
// #include <string>
// #include <cstring>
// #include <queue>
// #include <bitset>

using namespace std;

// #pragma GCC optimize("Ofast,no-stack-protector")n
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
// #pragma GCC optimize("unroll-loops")


#define ll              long long int
#define ull             unsigned long long int
#define vi              vector< int >
#define vll             vector< ll >

#define sc              scanf
#define pf              printf
#define cspf(i)         pf("Case %d: ", i)
#define spc             pf(" ")
#define line            pf("\n")

#define ff              first
#define ss              second
#define mp              make_pair
#define pb              push_back
#define ppb             pop_back
#define tp(v,j)         get<j>(v)
#define Log(b,x)        (log(x)/log(b))

#define FOR(i,x,y)      for(int i = int(x); i < int(y); i++)
#define ROF(i,x,y)      for(int i = int(x)-1; i >= int(y); i--)
#define clr(arr,x)      memset(arr, x, sizeof arr)
#define vout(v)         for(int w=0;w<(int)v.size();w++){if(w) spc; cout<<v[w];}
#define all(v)          v.begin(), v.end()
#define rall(v)         v.rbegin(), v.rend()
#define unq(v)          sort(all(v)),(v).resize(unique(all(v))-v.begin())
#define fastIO          ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr)

#define sc1(x)          sc("%d",&x)
#define sc2(x,y)        sc("%d %d", &x, &y)
#define sc3(x,y,z)      sc("%d %d %d", &x, &y, &z)
#define scl1(x)         sc("%lld",&x);
#define scl2(x,y)       sc("%lld %lld", &x, &y)
#define scf1(x)         sc("%lf",&x)
#define scf2(x,y)       sc("%lf %lf", &x, &y)

#define pf1(x)          pf("%d",x)
#define pf2(x,y)        pf("%d %d", x, y)
#define pf3(x,y,z)      pf("%d %d %d", x, y, z)
#define pfl1(x)         pf("%lld",x)
#define pfl2(x,y)       pf("%lld %lld",x,y)

#define MOD             (ll)998244353
#define MaxN            200002
#define MAX             (ll)(1e10)
#define inf             0x3f3f3f3f
#define PI              acos(-1.0)  // 3.1415926535897932
#define eps             1e-6

template <class T> inline T bigMod(T p,T e,T M){T ret=1; for(;e>0;e>>=1){ if(e&1) ret=(ret*p)%M; p=(p*p)%M;} return (T)ret;}
template <class T> inline T modInverse(T a,T M){return bigMod(a,M-2,M);}
template <class T> inline T gcd(T a,T b){if(b==0)return a;return gcd(b,a%b);}
template <class T> inline T lcm(T a,T b) {a=abs(a);b=abs(b); return (a/gcd(a,b))*b;}
template <class T> inline T SQR(T a){return a*a;}

int dx[] = { 1,-1, 0, 0};                //graph moves
int dy[] = { 0, 0, 1,-1};               //graph moves

map< int, char> tochar = {
    {0, '0'},
    {1, '1'},
    {2, '2'},
    {3, '3'},
    {4, '4'},
    {5, '5'},
    {6, '6'},
    {7, '7'},
    {8, '8'},
    {9, '9'},
    {10, 'A'},
    {11, 'B'},
    {12, 'C'},
    {13, 'D'},
    {14, 'E'},
    {15, 'F'}
};

map< char, int> toint = {
    {'0', 0},
    {'1', 1},
    {'2', 2},
    {'3', 3},
    {'4', 4},
    {'5', 5},
    {'6', 6},
    {'7', 7},
    {'8', 8},
    {'9', 9},
    {'A', 10},
    {'B', 11},
    {'C', 12},
    {'D', 13},
    {'E', 14},
    {'F', 15}
};

string DectoBase(ll n, int base){
    string s="";
    while(n){
        int x = n%base;
        s += tochar[x];
        n/=base;
    }
    reverse(all(s));
    if(s.size()==0) s+='0';
    return s;
}

ll BasetoDec(string s, int base){
    ll n = 0;
    ll b = 1;
    for(int i=s.size()-1; i>=0; i--){
        n += b * toint[s[i]];
        b *= base;
    }
    return n;
}

int main(){

    #ifndef ONLINE_JUDGE
        clock_t tStart = clock();
        freopen("input.txt", "r", stdin);
        freopen("output.txt", "w", stdout);
    #endif

    int b1, b2;
    string s;
    while(cin>>b1>>b2>>s){
        bool f=false;
        for(int i=0; i<s.size(); i++){
            if(toint[s[i]]>=b1) f=true;
        }
        if(f){
            cout<<s<<" is an illegal base "<<b1<<" number\n";
            continue;
        }
        ll n = BasetoDec(s, b1);
        string ans = DectoBase(n, b2);
        cout<<s<<" base "<<b1<<" = "<<ans<<" base "<<b2<<'\n';
    }

    #ifndef ONLINE_JUDGE
        fprintf(stderr, "\n>> Runtime: %.10fs\n", (double) (clock() - tStart) / CLOCKS_PER_SEC);
    #endif

    return 0;
}