#ifdef _MSC_VER #define _CRT_SECURE_NO_WARNINGS #endif #include <iostream> #include <vector> #include <cstring> #include <string> #include <stack> #include <map> #include <algorithm> #include <math.h> #include <iostream> // std::cout, std::fixed #include <iomanip> using namespace std; typedef long long ll; const int MaxN = 5005000; int sz = 0; int nextn[27][MaxN];//containe next V int endn[MaxN];//how many strings ends in this V int sons[MaxN]; vector<bool> created;//V already exist void insert(string &s) { int v = 0; for (unsigned int i = 0; i < s.size(); ++i) { int c = s[i] - 'a'; if (!created[nextn[c][v]]) {//if already exist just move to his son nextn[c][v] = ++sz; //else create new son created[sz] = true; //this son now exist sons[v]++; sons[sz] = 0; } v = nextn[c][v]; } ++endn[v]; //add one to strings end with this son } long long depth = 0; stack<pair<int,int>> vertices; void count(){ while (!vertices.empty()){ int v = vertices.top().first(); int d = vertices.top().second(); vertices.pop(); for (unsigned int i = 0; i < 26; i++) { long long next = nextn[i][v]; if (!created[next]) { continue; } int add = (sons[v] > 1 || v == 0 || endn[v]); vertices.push_back(pair<int,int>(next, d+add)); } if (endn[v] > 0) { depth += d*endn[v]; } } int main() { int numOfWords; cout << fixed; while (cin >> numOfWords) { created = vector<bool>(MaxN, false); sons[0] = 0; for (int word = 0; word < numOfWords; word++) { string s; cin >> s; insert(s); } depth = 0; vertices.push_back(0,0); long long persses = count(); double mean = (double)persses / (double)numOfWords; cout << setprecision(2) << mean << endl; } return 0; }
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