#include <iostream>
#include <sstream>
#include <iomanip>
#include <vector>
#include <string>
#include <map>
#include <set>
#include <algorithm>
#include <numeric>
#include <iterator>
#include <functional>
#include <complex>
#include <queue>
#include <stack>
#include <cmath>
#include <cassert>
#include <tuple>
using namespace std;
typedef long long LL;
typedef complex<double> CMP;
class LCMGCD { public:
string isPossible(vector <int> x, int t)
{
pair<int,int> tt = crack(t);
vector<pair<int,int>> ab;
for(int xi: x) {
pair<int, int> xx = crack(xi);
ab.emplace_back(sign(xx.first, tt.first), sign(xx.second, tt.second));
}
return solve(ab) ? "Possible" : "Impossible";
}
pair<int,int> crack(int x)
{
int a=0, b=0;
while(x%2==0) x/=2, a++;
while(x%3==0) x/=3, b++;
return make_pair(a,b);
}
int sign(int x, int t)
{
return x<t ? 0 : x==t ? 1 : 2;
}
// can we make (1,1) by max and min?
bool solve(vector<pair<int,int>> x)
{
set<vector<int>> vis;
vector<int> sig(7);
vis.insert(sig);
for(auto ab: x) {
int s = ab.first*3 + ab.second;
if(0<s&&s<8)
if(sig[s-1]<5)
sig[s-1]++;
}
goal = vector<int>(7); goal[3]=1;
return rec(sig, vis);
}
vector<int> goal;
bool rec(vector<int>& sig, set<vector<int>>& vis)
{
if(sig[3] >= 2)
return true;
if(sig == goal)
return true;
if(vis.count(sig))
return false;
vis.insert(sig);
for(int a=1; a<8; ++a) if(sig[a-1])
for(int b=a; b<8; ++b) if(sig[b-1]) {
if(b==a && sig[a-1]==1) continue;
sig[a-1]--;
sig[b-1]--;
int z = max(a/3,b/3)*3 + max(a%3,b%3);
if(0<z && z<8) {
sig[z-1]++;
if(rec(sig, vis)) return true;
sig[z-1]--;
} else {
if(rec(sig, vis)) return true;
}
z = min(a/3,b/3)*3 + min(a%3,b%3);
if(0<z && z<8) {
sig[z-1]++;
if(rec(sig, vis)) return true;
sig[z-1]--;
} else {
if(rec(sig, vis)) return true;
}
sig[a-1]++;
sig[b-1]++;
}
return false;
}
};
// BEGIN CUT HERE
#include <ctime>
double start_time; string timer()
{ ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
{ os << "{ ";
for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
void verify_case(const string& Expected, const string& Received) {
bool ok = (Expected == Received);
if(ok) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl;
cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
#define END verify_case(_, LCMGCD().isPossible(x, t));}
int main(){
CASE(0)
int x_[] = {2,3};
vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
int t = 6;
string _ = "Possible";
END
CASE(1)
int x_[] = {4,9};
vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
int t = 6;
string _ = "Impossible";
END
CASE(2)
int x_[] = {6,12,24,18,36,72,54,108,216};
vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
int t = 36;
string _ = "Possible";
END
CASE(3)
int x_[] = {6,27,81,729};
vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
int t = 6;
string _ = "Impossible";
END
CASE(4)
int x_[] = {1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1};
vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
int t = 1;
string _ = "Possible";
END
CASE(5)
int x_[] = {72,16,16,16,16,16,27,27,27,27,27,27,27,27,27};
vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
int t = 72;
string _ = "Possible";
END
CASE(6)
int x_[] = {100663296, 544195584, 229582512, 59049};
vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
int t = 60466176;
string _ = "Possible";
END
CASE(7)
int x_[] = {2,4,8,16,32,64};
vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
int t = 256;
string _ = "Impossible";
END
CASE(8)
int x_[] = {6,9};
vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
int t = 6;
string _ = "Impossible";
END
CASE(9)
int x_[] = {3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18};
vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
int t = 6;
string _ = "Impossible";
END
CASE(8)
int x_[] = {6,6,9};
vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
int t = 6;
string _ = "Possible";
END
CASE(8)
int x_[] = {9,18,12};
vector <int> x(x_, x_+sizeof(x_)/sizeof(*x_));
int t = 6;
string _ = "Possible";
END
}
// END CUT HERE