#include <bits/stdc++.h>
#define FI first
#define SE second
#define EPS 1e-9
#define ALL(a) a.begin(),a.end()
#define SZ(a) int((a).size())
#define MS(s, n) memset(s, n, sizeof(s))
#define FOR(i,a,b) for (int i = (a); i <= (b); i++)
#define FORE(i,a,b) for (int i = (a); i >= (b); i--)
#define FORALL(it, a) for (__typeof((a).begin()) it = (a).begin(); it != (a).end(); it++)
#define WHATIS(x) cout << #x << " is " << x << endl;
#define ERROR(args...) { string _s = #args; replace(_s.begin(), _s.end(), ',', ' '); stringstream _ss(_s); istream_iterator<string> _it(_ss); err(_it, args); }
//__builtin_ffs(x) return 1 + index of least significant 1-bit of x
//__builtin_clz(x) return number of leading zeros of x
//__builtin_ctz(x) return number of trailing zeros of x
using namespace std;
using ll = long long;
using ld = double;
typedef pair<int, int> II;
typedef pair<II, int> III;
typedef complex<ld> cd;
typedef vector<cd> vcd;
void err(istream_iterator<string> it) {}
template<typename T, typename... Args>
void err(istream_iterator<string> it, T a, Args... args) {
cout << *it << " = " << a << endl;
err(++it, args...);
}
const ll MODBASE = 1000000007LL;
const int MAXN = 20;
const int MAXM = 1000010;
const int MAXK = 110;
const int MAXQ = 200010;
int n, cnt[MAXN][26], tmpCnt[26], common[70000], dp[70000];
string s[MAXN];
int solve(int mask) {
if (dp[mask] != -1) return dp[mask];
int cm = common[mask];
int res = 1000000000;
// submask iteration
for (int split = mask & (mask-1); split; split = (split-1) & mask) {
int submask2 = mask ^ split;
res = min(res, solve(split) + solve(submask2) - cm);
}
return dp[mask] = res;
}
int main() {
ios::sync_with_stdio(0);
cin.tie(nullptr);
cin >> n;
FOR(i,1,n) cin >> s[i];
FOR(i,1,n)
FOR(j,0,SZ(s[i])-1) cnt[i][s[i][j] - 'a']++;
// get number of same characters in each group of string based on the mask
FOR(mask,1,(1<<n)-1) {
FOR(i,0,25) tmpCnt[i] = 1000000000;
FOR(i,1,n)
if (mask & (1<<(i-1)))
FOR(j,0,25) tmpCnt[j] = min(tmpCnt[j], cnt[i][j]);
FOR(i,0,25) common[mask] += tmpCnt[i];
}
// init dp
FOR(i,1,(1<<n)-1) {
if (__builtin_popcount(i) == 1) {
FOR(j,1,n)
if (i & (1<<(j-1))) dp[i] = SZ(s[j]);
}
else dp[i] = -1;
}
// add the root nodes to the answer
cout << solve((1<<n)-1) + 1;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
2 ms |
384 KB |
Output is correct |
4 |
Correct |
226 ms |
1016 KB |
Output is correct |
5 |
Correct |
224 ms |
1016 KB |
Output is correct |
6 |
Correct |
225 ms |
1528 KB |
Output is correct |
7 |
Correct |
226 ms |
1784 KB |
Output is correct |
8 |
Correct |
228 ms |
1784 KB |
Output is correct |
9 |
Correct |
224 ms |
1912 KB |
Output is correct |
10 |
Correct |
224 ms |
1912 KB |
Output is correct |