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- // Those who cannot remember the past are
- // condemned to repeat it (use DP -_-)
- // - George Santayana
- #include <bits/stdc++.h>
- #include <ext/pb_ds/assoc_container.hpp>
- #include <ext/pb_ds/tree_policy.hpp>
- using namespace std;
- using namespace __gnu_pbds;
- #define all(v) v.begin(), v.end()
- #define rall(v) v.rbegin(), v.rend()
- #define ll long long
- #define ull unsigned long long
- #define MOD 1000000007
- #define PI 3.14159265
- #define ceil(a, b) (((a) / (b)) + ((a) % (b) ? 1 : 0))
- #define imin INT_MIN
- #define imax INT_MAX
- #define llmax LLONG_MAX
- #define llmin LLONG_MIN
- #define inf 2000000000
- #define nl '\n'
- #define ppcnt __builtin_popcount
- #define ppcntll __builtin_popcountll
- #define clz __builtin_clz
- #define clzll __builtin_clzll
- #define ctz __builtin_ctz
- #define ctzll __builtin_ctzll
- #define modulo(a, b, mod) ((((a) % (mod)) + ((b) % (mod))) % (mod))
- #define cnte(v, x) count(all(v), (x))
- #define mine(v) min_element(all(v))
- #define maxe(v) max_element(all(v))
- #define updmin(a, b) a = min(a, b)
- #define updmax(a, b) a = max(a, b)
- #define finmod(x, m) x = ((x) % (m) + (m)) % m
- #define debug(x) cout << "x: " << (x) << nl;
- #define debug2(x, y) cout << "x: " << (x) << " y: " << y << nl;
- #define ordered_set tree<pair<int, int>, null_type, less<>, rb_tree_tag, tree_order_statistics_node_update>
- #define ordered_map tree<int, int, less<>, rb_tree_tag, tree_order_statistics_node_update>
- //vector<int> dx = {0, 0, 1, -1, 1, 1, -1, -1}, dy = {1, -1, 0, 0, 1, -1, 1, -1};
- //vector<int> dx = {0, 0, 1, -1}, dy = {1, -1, 0, 0};
- template<typename T = int> istream& operator>>(istream& in, vector<pair<int, int>>& v){
- for (auto& [x, y] : v) in >> x >> y;
- return in;
- }
- template<typename T = int> istream& operator>>(istream& in, vector<T>& v){
- for (T& i : v) in >> i;
- return in;
- }
- template<typename T = int> ostream& operator<<(ostream& out, const vector<T>& v){
- for (const T& x : v)
- out << x << ' ';
- return out;
- }
- template<typename T = pair<int, int>> ostream& operator << (ostream& out, const vector<pair<int, int>>& v){
- for(auto& [x, y] : v){
- out << x << ' ' << y << nl;
- }
- return out;
- }
- void Start_Crushing() {
- ios_base::sync_with_stdio(false);
- cin.tie(nullptr);
- cout.tie(nullptr);
- //#ifndef ONLINE_JUDGE
- // freopen("input.txt", "r", stdin);
- // freopen("output.txt", "w", stdout);
- //#endif
- }
- // remove the files before you upload your solution
- void solve(){
- int n; cin >> n;
- vector<string> v(n); cin >> v;
- bitset<26> st, ed, md;
- map<char, int> same;
- for(auto& i : v){
- set<char> s(all(i));
- if(s.size() == 1) {
- same[i.front()]++;
- continue;
- }
- for(char letter = 'A'; letter <= 'Z'; letter++){
- int cnt = 0, seg = 0;
- for(auto& c : i){
- if(c != letter){
- seg += (cnt > 0);
- cnt = 0;
- }else
- cnt += c == letter;
- }
- seg += cnt > 0;
- if(seg > 1) {
- return void(cout << "IMPOSSIBLE");
- }
- }
- if(st[i.front() - 'A']) {
- return void(cout << "IMPOSSIBLE");
- }
- if(ed[i.back() - 'A']) {
- return void(cout << "IMPOSSIBLE");
- }
- st[i.front() - 'A'] = true;
- ed[i.back() - 'A'] = true;
- bitset<26> tmp;
- for(int idx = 1; idx < i.size() - 1; idx++){
- if(i[idx] != i.front() and i[idx] != i.back())
- tmp[i[idx] - 'A'] = true;
- }
- for(int idx = 0; idx < 26; idx++){
- if(tmp[idx] and md[idx])
- return void(cout << "IMPOSSIBLE");
- md[idx] = tmp[idx];
- }
- }
- deque<string> ans;
- map<string, int> freq;
- for(auto& i : v){
- freq[i]++;
- }
- ans.emplace_back(v.back());
- freq[v.back()]--;
- for(int cnt = 0; cnt < n; cnt++){
- bool ok = false;
- for(auto& i : v){
- if(not freq[i])
- continue;
- set<char> s(all(i));
- if(s.size() == 1 and i.front() == ans.back().back()){
- freq[i]--;
- ans.emplace_back(i);
- same[i.front()]--;
- ok = true;
- }
- if(freq[i] and s.size() == 1 and i.back() == ans.front().front()){
- freq[i]--;
- ans.emplace_front(i);
- same[i.front()]--;
- ok = true;
- }
- }
- for(auto& i : v){
- if(freq[i] and i.front() == ans.back().back()){
- freq[i]--;
- ans.emplace_back(i);
- ok = true;
- }
- if(freq[i] and i.back() == ans.front().front()){
- freq[i]--;
- ans.emplace_front(i);
- ok = true;
- }
- }
- if(ok)
- continue;
- for(auto& i : v){
- if(freq[i] and ed[i.front()]){
- ans.emplace_back(i);
- freq[i]--;
- ok = true;
- break;
- }
- if(freq[i] and st[i.back()]){
- ans.emplace_front(i);
- freq[i]--;
- ok = true;
- break;
- }
- }
- if(ok)
- continue;
- for(auto& i : v){
- set<char> s(all(i));
- if(freq[i] and s.size() != 1 and same[i.back()]){
- freq[i]--;
- ok = true;
- ans.emplace_back(i);
- }
- }
- if(ok)
- continue;
- for(auto& i : v){
- set<char> s(all(i));
- if(freq[i] and s.size() != 1 and same[i.front()]){
- freq[i]--;
- ok = true;
- ans.emplace_front(i);
- }
- }
- if(ok)
- continue;
- for(auto& i : v){
- if(freq[i]) {
- ans.emplace_back(i);
- freq[i]--;
- }
- }
- }
- string res;
- for(auto& i : ans)
- res += i;
- for(char letter = 'A'; letter <= 'Z'; letter++){
- int cnt = 0, seg = 0;
- for(auto& c : res){
- if(c != letter){
- seg += (cnt > 0);
- cnt = 0;
- }else
- cnt += c == letter;
- }
- seg += cnt > 0;
- if(seg > 1) {
- return void(cout << "IMPOSSIBLE");
- }
- }
- cout << res;
- }
- int main(){
- Start_Crushing();
- int t = 1;
- /*Multiple test cases?*/ cin >> t;
- // while (t--) {
- // solve();
- // if(!t)
- // break;
- // cout << nl;
- // }
- for(int tc = 1; tc <= t; tc++){
- cout << "Case #" << tc << ": ";
- solve();
- if(tc != t)
- cout << nl;
- }
- return 0;
- }
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