This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#ifdef evenvalue
#include "debug.h"
#else
#define debug(...)
#endif
using int64 = long long;
using ld = long double;
template<typename T>
using min_heap = priority_queue<T, vector<T>, greater<T>>;
template<typename T>
using max_heap = priority_queue<T, vector<T>, less<T>>;
namespace Read {
int Int() {
int x;
cin >> x;
return x;
}
int64 Int64() {
int64 x;
cin >> x;
return x;
}
char Char() {
char c;
cin >> c;
return c;
}
string String() {
string s;
cin >> s;
return s;
}
double Double() {
return stod(String());
}
ld LongDouble() {
return stold(String());
}
template<typename T1, typename T2>
pair<T1, T2> Pair() {
pair<T1, T2> p;
cin >> p.first >> p.second;
return p;
}
template<typename T>
vector<T> Vec(const int n) {
vector<T> v(n);
for (T &x : v) {
cin >> x;
}
return v;
}
template<typename T>
vector<vector<T>> VecVec(const int n, const int m) {
vector<vector<T>> v(n);
for (vector<T> &vec : v) {
vec = Vec<T>(m);
}
return v;
}
}//namespace Read
constexpr int kInf = 1e9 + 10;
constexpr int64 kInf64 = 1e15 + 10;
constexpr int kMod = 1e9 + 7;
constexpr int kMaxN = 2e5 + 10;
class Trie {
static constexpr int kAlphaSize = 26;
vector<array<int, kAlphaSize>> t;
vector<bool> terminal;
vector<int> max_depth;
int add_node() {
const int x = t.size();
t.emplace_back();
terminal.push_back(false);
max_depth.push_back(0);
t.back().fill(-1);
return x;
}
void dfs1(const int x, const int d) {
max_depth[x] = d;
for (const int y : t[x]) {
if (y == -1) continue;
dfs1(y, d + 1);
max_depth[x] = max(max_depth[x], max_depth[y]);
}
}
void dfs2(const int x, string &ans) {
vector<int> order(kAlphaSize);
iota(order.begin(), order.end(), 0);
sort(order.begin(), order.end(), [&](const int i, const int j) {
const int a = t[x][i];
const int b = t[x][j];
if (a == -1) return false;
if (b == -1) return true;
return max_depth[a] < max_depth[b];
});
if (terminal[x]) {
ans += 'P';
}
for (const int i : order) {
if (t[x][i] == -1) continue;
ans += ('a' + i);
dfs2(t[x][i], ans);
ans += '-';
}
}
public:
Trie() {
add_node();
}
void add(const string &s) {
int x = 0;
for (const char c : s) {
const int i = c - 'a';
if (t[x][i] == -1) t[x][i] = add_node();
x = t[x][i];
}
terminal[x] = true;
}
string get_answer() {
string ans;
dfs1(0, 0);
dfs2(0, ans);
while (ans.back() == '-') {
ans.pop_back();
}
return ans;
}
};
inline void solution() {
const int n = Read::Int();
Trie t;
for (int i = 0; i < n; i++) {
t.add(Read::String());
}
const string ans = t.get_answer();
cout << ans.size() << '\n';
for (const char c : ans) {
cout << c << '\n';
}
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
//freopen(".in", "r", stdin);
//freopen(".out", "w", stdout);
cout << fixed << setprecision(10);
int testcases = 1;
//cin >> testcases;
while (testcases--) {
solution();
}
}
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