#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using T = tuple<ll, ll, ll>;
#define int long long
#define Base 41
#define sz(a) (int)a.size()
#define FOR(i, a, b) for ( int i = a ; i <= b ; i++ )
#define FORD(i, a, b) for (int i = b; i >= a; i --)
#define REP(i, n) for (int i = 0; i < n; ++i)
#define REPD(i, n) for (int i = n - 1; i >= 0; --i)
#define all(x) x.begin() , x.end()
#define pii pair<int , int>
#define fi first
#define se second
#define Lg(x) 31 - __builtin_clz(x)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int MAX = 16;
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
void setupIO(){
#define name "Whisper"
//Phu Trong from Nguyen Tat Thanh High School for gifted student
srand(time(NULL));
cin.tie(nullptr)->sync_with_stdio(false); cout.tie(nullptr);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
cout << fixed << setprecision(10);
}
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
int N;
int cnt[MAX][26];
int dp[MASK(16)];
int cost(int msk){
//the maximum prefix of all string in mask
vector<int> f(26, INF);
int ans = 0;
REP(i, N) if(BIT(msk, i)){
for (int c = 0; c < 26; ++c){
minimize(f[c], cnt[i][c]);
}
}
REP(c, 26) ans += f[c];
return ans;
}
//dp(msk) is the minimum nodes we can reach if we build the trie by the string which is in mask
int f(int msk){
int &res = dp[msk];
if(~res) return res;
int max_prefix = cost(msk);
if (__builtin_popcount(msk) == 1) return max_prefix;
res = INF;
for (int i = (msk - 1) & msk; i > 0; i = (i - 1) & msk){
minimize(res, f(i) + f(msk ^ i) - max_prefix);
}
return res;
}
void Whisper(){
cin >> N;
REP(i, N){
string t; cin >> t;
REP(c, sz(t)) cnt[i][t[c] - 'a']++;
}
memset(dp, -1, sizeof dp);
cout << f(MASK(N) - 1) + 1;
}
signed main(){
setupIO();
int Test = 1;
// cin >> Test;
for ( int i = 1 ; i <= Test ; i++ ){
Whisper();
if (i < Test) cout << '\n';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
860 KB |
Output is correct |
2 |
Correct |
1 ms |
860 KB |
Output is correct |
3 |
Correct |
2 ms |
860 KB |
Output is correct |
4 |
Correct |
145 ms |
860 KB |
Output is correct |
5 |
Correct |
169 ms |
1064 KB |
Output is correct |
6 |
Correct |
147 ms |
1292 KB |
Output is correct |
7 |
Correct |
142 ms |
1368 KB |
Output is correct |
8 |
Correct |
155 ms |
1768 KB |
Output is correct |
9 |
Correct |
143 ms |
1360 KB |
Output is correct |
10 |
Correct |
146 ms |
1368 KB |
Output is correct |