#include<bits/stdc++.h>
using namespace std;
//#include<ext/pb_ds/assoc_container.hpp>
//#include<ext/pb_ds/tree_policy.hpp>
//
// #pragma GCC optimize("unroll-loops")
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("-O3")
// #pragma GCC optimize("no-stack-protector")
// #pragma GCC optimize("fast-math")
//#define LOCAL
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cout<< *x, 0);
sim > char dud(...);
struct debug {
#ifndef LOCAL
~debug() { cout << endl; }
eni(!=) cout << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
*this << "[";
for (auto it = d.b; it != d.e; ++it)
*this << ", " + 2 * (it == d.b) << *it;
ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
#define fi first
#define f first
#define se second
#define s second
#define vi_a vector<int>a;
#define p_b push_back
////////////////////////////////???????????????CHECK THIS OUT???????????????//////////////////////////////
#define ll long long
////////////////////////////////???????????????CHECK THIS OUT???????????????//////////////////////////////
#define ld long double
#define pll pair<ll,ll>
#define pii pair<int,int>
#define m_p make_pair
#define fast_io cin.tie(0);cout.tie(0);ios_base::sync_with_stdio(0);
#define all(x) x.begin(),x.end()
#define getfiles ifstream cin("input.txt");ofstream cout("output.txt");
#define pw(x) (1ll << x)
#define sz(x) (ll)x.size()
#define endl "\n"
#define rall(x) x.rbegin(),x.rend()
#define len(a) (ll)a.size()
#define rep(x,l,r) for(ll x=l;x<r;x++)
//using namespace __gnu_pbds;
ld eps = (ld)1 / 1e6;
const ld pi=3.14159265359;
ll inf = 1e18,mod1=1e9+7;
ll sqr(ll a) { return a * a; }
ll qb(ll a) { return a * a * a; }
ll gcd(ll a, ll b) { return !a ? b : gcd(b % a, a); }
ll binpow(ll a, ll b, ll mod) { return b ? (b % 2 ? (a * (sqr(binpow(a, b / 2, mod)) % mod)) % mod : sqr(binpow(a, b / 2, mod)) % mod) : 1; }
ll binmult(ll a, ll b, ll mod) { return b ? (b % 2 ? (2 * binmult(a, b / 2, mod) + a) % mod : (2 * binmult(a, b / 2, mod)) % mod) : 0; }
/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
const ll R=1e4;
const ll tx[4]={0,0,-1,1};
const ll ty[4]={-1,1,0,0};
const char rev_to[4]={'E','W','N','S'};
const int N=17;
const int M=999999937;
int n;
string a[N];
int cnt[N][26];
int mn[26];
int dp[pw(N)];
int wh[pw(N)];
signed main(){
fast_io;
cin>>n;
for(int i=0;i<n;i++){
cin>>a[i];
for(auto &z : a[i]) cnt[i][z-'a']++;
}
for(int mask=1;mask<pw(n);mask++){
wh[mask]=1;
for(int j=0;j<26;j++){
mn[j]=1e9;
}
for(int i=0;i<n;i++){
if(pw(i) & mask){
for(int j=0;j<26;j++){
mn[j]=min(mn[j],cnt[i][j]);
}
}
}
for(int i=0;i<26;i++){
wh[mask]+=mn[i];
}
}
for(int mask =1;mask<pw(n);mask++){
if(__builtin_popcount(mask)==1){
dp[mask]=wh[mask];
}
else{
dp[mask]=1e9;
for(int sub=(mask-1)&mask;sub;sub=(sub-1) & mask){
dp[mask]=min(dp[mask],dp[sub]+dp[mask^sub]-wh[mask]);
}
}
// cout<<dp[mask]<<endl;
}
cout<<dp[pw(n)-1];
return 0;
}
///stuff you should look for :
/*
* int overflow, array bounds
* special cases (n=1?)
* do smth instead of nothing and stay organized
* read the conditions carefully
* WRITE STUFF DOWN
*/
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
384 KB |
Output is correct |
| 2 |
Correct |
5 ms |
384 KB |
Output is correct |
| 3 |
Correct |
5 ms |
384 KB |
Output is correct |
| 4 |
Correct |
101 ms |
888 KB |
Output is correct |
| 5 |
Correct |
98 ms |
992 KB |
Output is correct |
| 6 |
Correct |
99 ms |
1400 KB |
Output is correct |
| 7 |
Correct |
105 ms |
1656 KB |
Output is correct |
| 8 |
Correct |
102 ms |
1784 KB |
Output is correct |
| 9 |
Correct |
101 ms |
1784 KB |
Output is correct |
| 10 |
Correct |
99 ms |
1784 KB |
Output is correct |
