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ed7454da2a 2016-10-26        kinaba: #include <iostream>
ed7454da2a 2016-10-26        kinaba: #include <sstream>
ed7454da2a 2016-10-26        kinaba: #include <iomanip>
ed7454da2a 2016-10-26        kinaba: #include <vector>
ed7454da2a 2016-10-26        kinaba: #include <string>
ed7454da2a 2016-10-26        kinaba: #include <map>
ed7454da2a 2016-10-26        kinaba: #include <set>
ed7454da2a 2016-10-26        kinaba: #include <algorithm>
ed7454da2a 2016-10-26        kinaba: #include <numeric>
ed7454da2a 2016-10-26        kinaba: #include <iterator>
ed7454da2a 2016-10-26        kinaba: #include <functional>
ed7454da2a 2016-10-26        kinaba: #include <complex>
ed7454da2a 2016-10-26        kinaba: #include <queue>
ed7454da2a 2016-10-26        kinaba: #include <stack>
ed7454da2a 2016-10-26        kinaba: #include <cmath>
ed7454da2a 2016-10-26        kinaba: #include <cassert>
ed7454da2a 2016-10-26        kinaba: #include <tuple>
ed7454da2a 2016-10-26        kinaba: using namespace std;
ed7454da2a 2016-10-26        kinaba: typedef long long LL;
ed7454da2a 2016-10-26        kinaba: typedef complex<double> CMP;
ed7454da2a 2016-10-26        kinaba: 
ed7454da2a 2016-10-26        kinaba: string S;
ed7454da2a 2016-10-26        kinaba: 
ed7454da2a 2016-10-26        kinaba: class KthStringAgain {
ed7454da2a 2016-10-26        kinaba: public:
ed7454da2a 2016-10-26        kinaba: 	struct Cand {
ed7454da2a 2016-10-26        kinaba: 		// represents ALL(S[perm_head..$]) S[tail_mask]^r
ed7454da2a 2016-10-26        kinaba: 		int perm_head;
ed7454da2a 2016-10-26        kinaba: 		string tail;
ed7454da2a 2016-10-26        kinaba: 		LL num;
ed7454da2a 2016-10-26        kinaba: 		Cand(int p, const string& t, LL n=1) : perm_head(p), tail(t), num(n) {}
ed7454da2a 2016-10-26        kinaba: 		LL count() const { return (1LL << (S.size() - perm_head))*num; }
ed7454da2a 2016-10-26        kinaba: 
ed7454da2a 2016-10-26        kinaba: 		bool operator<(const Cand& rhs) const {
ed7454da2a 2016-10-26        kinaba: 			if (perm_head != rhs.perm_head) return perm_head < rhs.perm_head;
ed7454da2a 2016-10-26        kinaba: 			return tail < rhs.tail;
ed7454da2a 2016-10-26        kinaba: 		}
ed7454da2a 2016-10-26        kinaba: 		bool operator==(const Cand& rhs) const {
ed7454da2a 2016-10-26        kinaba: 			if (perm_head != rhs.perm_head) return false;
ed7454da2a 2016-10-26        kinaba: 			return tail == rhs.tail;
ed7454da2a 2016-10-26        kinaba: 		}
ed7454da2a 2016-10-26        kinaba: 	};
ed7454da2a 2016-10-26        kinaba: 
ed7454da2a 2016-10-26        kinaba: 	string getKth(string s, long long k) {
ed7454da2a 2016-10-26        kinaba: 		S = s;
ed7454da2a 2016-10-26        kinaba: 		vector<Cand> cc(1, Cand(0, string()));
ed7454da2a 2016-10-26        kinaba: 		return findKthAmong(cc, k - 1);
ed7454da2a 2016-10-26        kinaba: 	}
ed7454da2a 2016-10-26        kinaba: 
ed7454da2a 2016-10-26        kinaba: 	string findKthAmong(vector<Cand>& c, LL k) {
ed7454da2a 2016-10-26        kinaba: 		sort(c.begin(), c.end());
ed7454da2a 2016-10-26        kinaba: 		for(int i=c.size()-1; i>=1; --i)
ed7454da2a 2016-10-26        kinaba: 			if (c[i] == c[i - 1]) {
ed7454da2a 2016-10-26        kinaba: 				c[i - 1].num += c[i].num;
ed7454da2a 2016-10-26        kinaba: 				c[i].num = 0;
ed7454da2a 2016-10-26        kinaba: 			}
ed7454da2a 2016-10-26        kinaba: 
ed7454da2a 2016-10-26        kinaba: 		map<char, vector<Cand>> next;
ed7454da2a 2016-10-26        kinaba: 		for (const Cand& cc : c) {
ed7454da2a 2016-10-26        kinaba: 			if (cc.num == 0)
ed7454da2a 2016-10-26        kinaba: 				continue;
ed7454da2a 2016-10-26        kinaba: 
ed7454da2a 2016-10-26        kinaba: 			if (cc.perm_head == S.size()) {
ed7454da2a 2016-10-26        kinaba: 				if (cc.tail.empty())
ed7454da2a 2016-10-26        kinaba: 					return ""; //?
ed7454da2a 2016-10-26        kinaba: 
ed7454da2a 2016-10-26        kinaba: 				next[cc.tail[0]].emplace_back(cc.perm_head, cc.tail.substr(1), cc.num);
ed7454da2a 2016-10-26        kinaba: 			}
ed7454da2a 2016-10-26        kinaba: 			else {
ed7454da2a 2016-10-26        kinaba: 				for (int i = cc.perm_head; i < S.size(); ++i) {
ed7454da2a 2016-10-26        kinaba: 					string t2 = S.substr(cc.perm_head, i - cc.perm_head);
ed7454da2a 2016-10-26        kinaba: 					reverse(t2.begin(), t2.end());
ed7454da2a 2016-10-26        kinaba: 					t2 += cc.tail;
ed7454da2a 2016-10-26        kinaba: 					next[S[i]].emplace_back(i + 1, t2, cc.num * (i+1==S.size() ? 2 : 1));
ed7454da2a 2016-10-26        kinaba: 				}
ed7454da2a 2016-10-26        kinaba: 			}
ed7454da2a 2016-10-26        kinaba: 		}
ed7454da2a 2016-10-26        kinaba: 
ed7454da2a 2016-10-26        kinaba: 		LL off = 0;
ed7454da2a 2016-10-26        kinaba: 		for (auto&& kv : next) {
ed7454da2a 2016-10-26        kinaba: 			LL num = 0;
ed7454da2a 2016-10-26        kinaba: 			for (auto&& vv : kv.second)
ed7454da2a 2016-10-26        kinaba: 				num += vv.count();
ed7454da2a 2016-10-26        kinaba: 			if (off <= k && k < off + num) {
ed7454da2a 2016-10-26        kinaba: 				return kv.first + findKthAmong(kv.second, k - off);
ed7454da2a 2016-10-26        kinaba: 			}
ed7454da2a 2016-10-26        kinaba: 			off += num;
ed7454da2a 2016-10-26        kinaba: 		}
ed7454da2a 2016-10-26        kinaba: 		assert(false);
ed7454da2a 2016-10-26        kinaba: 		return "WRONG ANSWER";
ed7454da2a 2016-10-26        kinaba: 	}
ed7454da2a 2016-10-26        kinaba: };
ed7454da2a 2016-10-26        kinaba: 
ed7454da2a 2016-10-26        kinaba: // BEGIN CUT HERE
ed7454da2a 2016-10-26        kinaba: #include <ctime>
ed7454da2a 2016-10-26        kinaba: double start_time; string timer()
ed7454da2a 2016-10-26        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
ed7454da2a 2016-10-26        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
ed7454da2a 2016-10-26        kinaba:  { os << "{ ";
ed7454da2a 2016-10-26        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
ed7454da2a 2016-10-26        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
ed7454da2a 2016-10-26        kinaba: void verify_case(const string& Expected, const string& Received) {
ed7454da2a 2016-10-26        kinaba:  bool ok = (Expected == Received);
ed7454da2a 2016-10-26        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
ed7454da2a 2016-10-26        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
ed7454da2a 2016-10-26        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
ed7454da2a 2016-10-26        kinaba: #define END	 verify_case(_, KthStringAgain().getKth(s, k));}
ed7454da2a 2016-10-26        kinaba: int main(){
ed7454da2a 2016-10-26        kinaba: 
ed7454da2a 2016-10-26        kinaba: CASE(0)
ed7454da2a 2016-10-26        kinaba: 	string s = "xyz";
ed7454da2a 2016-10-26        kinaba: 	long long k = 5LL;
ed7454da2a 2016-10-26        kinaba: 	string _ = "yzx";
ed7454da2a 2016-10-26        kinaba: END
ed7454da2a 2016-10-26        kinaba: CASE(1)
ed7454da2a 2016-10-26        kinaba: 	string s = "abc";
ed7454da2a 2016-10-26        kinaba: 	long long k = 1LL;
ed7454da2a 2016-10-26        kinaba: 	string _ = "abc";
ed7454da2a 2016-10-26        kinaba: END
ed7454da2a 2016-10-26        kinaba: CASE(2)
ed7454da2a 2016-10-26        kinaba: 	string s = "abc";
ed7454da2a 2016-10-26        kinaba: 	long long k = 8LL;
ed7454da2a 2016-10-26        kinaba: 	string _ = "cba";
ed7454da2a 2016-10-26        kinaba: END
ed7454da2a 2016-10-26        kinaba: CASE(3)
ed7454da2a 2016-10-26        kinaba: 	string s = "topcoder";
ed7454da2a 2016-10-26        kinaba: 	long long k = 58LL;
ed7454da2a 2016-10-26        kinaba: 	string _ = "ooredcpt";
ed7454da2a 2016-10-26        kinaba: END
ed7454da2a 2016-10-26        kinaba: CASE(4)
ed7454da2a 2016-10-26        kinaba: 	string s = "aaaabcdeeeghhhhhiijjjkllmmooooqqrrrrssttuuvvvvvwyy";
ed7454da2a 2016-10-26        kinaba: 	long long k = 38517901796974LL;
ed7454da2a 2016-10-26        kinaba: 	string _ = "aaaacdeehhhijklmmqqrsttvvvvwyyvuusrrrooooljjihhgeb";
ed7454da2a 2016-10-26        kinaba: END
ed7454da2a 2016-10-26        kinaba: CASE(5)
ed7454da2a 2016-10-26        kinaba: 	string s = "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa";
ed7454da2a 2016-10-26        kinaba: 	long long k = 1234567890LL;
ed7454da2a 2016-10-26        kinaba: 	string _ = "???????";
ed7454da2a 2016-10-26        kinaba: END
ed7454da2a 2016-10-26        kinaba: /*
ed7454da2a 2016-10-26        kinaba: CASE(6)
ed7454da2a 2016-10-26        kinaba: 	string s = ;
ed7454da2a 2016-10-26        kinaba: 	long long k = LL;
ed7454da2a 2016-10-26        kinaba: 	string _ = ;
ed7454da2a 2016-10-26        kinaba: END
ed7454da2a 2016-10-26        kinaba: */
ed7454da2a 2016-10-26        kinaba: }
ed7454da2a 2016-10-26        kinaba: // END CUT HERE