// Knapsack DP is harder than FFT.
#include<bits/stdc++.h>
using namespace std;
typedef long long ll; typedef pair<int,int> pii; typedef pair<ll,ll> pll;
#define ff first
#define ss second
#define pb emplace_back
#define AI(x) begin(x),end(x)
template<class I>bool chmax(I&a,I b){return a<b?(a=b,true):false;}
template<class I>bool chmin(I&a,I b){return b<a?(a=b,true):false;}
#ifdef OWO
#define debug(args...) SDF(#args, args)
#define OIU(args...) ostream& operator<<(ostream&O,args)
#define LKJ(S,B,E,F) template<class...T>OIU(S<T...>s){O<<B;int c=0;for(auto i:s)O<<(c++?", ":"")<<F;return O<<E;}
LKJ(vector,'[',']',i)LKJ(deque,'[',']',i)LKJ(set,'{','}',i)LKJ(multiset,'{','}',i)LKJ(unordered_set,'{','}',i)LKJ(map,'{','}',i.ff<<':'<<i.ss)LKJ(unordered_map,'{','}',i.ff<<':'<<i.ss)
template<class...T>void SDF(const char* s,T...a){int c=sizeof...(T);if(!c){cerr<<"\033[1;32mvoid\033[0m\n";return;}(cerr<<"\033[1;32m("<<s<<") = (",...,(cerr<<a<<(--c?", ":")\033[0m\n")));}
template<class T,size_t N>OIU(array<T,N>a){return O<<vector<T>(AI(a));}template<class...T>OIU(pair<T...>p){return O<<'('<<p.ff<<','<<p.ss<<')';}template<class...T>OIU(tuple<T...>t){return O<<'(',apply([&O](T...s){int c=0;(...,(O<<(c++?", ":"")<<s));},t),O<<')';}
#else
#pragma GCC optimize("Ofast")
#define debug(...) ((void)0)
#endif
const int kC = 42;
const int MOD = 998244353;
inline int ci(char c){ return c >= 'a' ? c - 'a' : (c >= 'A' ? c - 'A' + 26 : c - '0' + 52); }
inline void mad(int &a, int b){ a += b - MOD; a += (a>>31) & MOD; }
int adj[kC][kC];
int tri[kC][kC][kC];
int qua[kC][kC][kC][kC];
void init(){
memset(adj, 0, sizeof(adj));
memset(tri, 0, sizeof(tri));
memset(qua, 0, sizeof(qua));
}
bool isPalim(string s){
int n = s.size();
for(int l = 0, r = n-1; l < r; ++l, --r)
if(s[l] != s[r]) return false;
return true;
}
int solve(vector<string> &s){
debug(s);
if(s.empty()) return 0;
init();
set<string> ss;
for(auto i: s){
if(ss.count(i)) continue;
int a = ci(i.front()), b = ci(i.back());
ss.insert(i);
++adj[a][b];
debug(a, b);
if(isPalim(i)) continue;
reverse(AI(i));
ss.insert(i);
++adj[b][a];
debug(b, a);
}
// for(int i = 0; i < kC; ++i){
// for(int j = 0; j < kC; ++j)
// cout << adj[i][j] << ' ';
// cout << '\n';
// }
// construct tri
for(int i = 0; i < kC; ++i)
for(int j = 0; j < kC; ++j)
for(int k = 0; k < kC; ++k)
for(int u = 0; u < kC; ++u){
ll v = adj[i][u] * adj[j][u] * adj[k][u];
mad(tri[i][j][k], (v % MOD));
}
// construct qua
for(int i = 0; i < kC; ++i)
for(int j = 0; j < kC; ++j)
for(int k = 0; k < kC; ++k)
for(int l = 0; l < kC; ++l)
mad(qua[i][j][k][l], 1ll * tri[i][j][k] * tri[j][k][l] % MOD);
int ans = 0;
for(int i = 0; i < kC; ++i)
for(int j = 0; j < kC; ++j)
for(int k = 0; k < kC; ++k)
for(int l = 0; l < kC; ++l)
mad(ans, 1ll * qua[i][j][k][l] * qua[j][i][l][k] % MOD);
debug(ans);
return ans;
}
signed main(){
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
int n; cin >> n;
vector<vector<string>> bkt(11);
for(int i = 1; i <= n; ++i){
string s; cin >> s;
bkt[s.length()].push_back(s);
}
int ans = 0;
for(int i = 3; i <= 10; ++i)
mad(ans, solve(bkt[i]));
cout << ans;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
371 ms |
18860 KB |
Output is correct |
2 |
Correct |
361 ms |
18988 KB |
Output is correct |
3 |
Correct |
357 ms |
18968 KB |
Output is correct |
4 |
Correct |
408 ms |
18952 KB |
Output is correct |
5 |
Correct |
367 ms |
18868 KB |
Output is correct |
6 |
Correct |
368 ms |
19016 KB |
Output is correct |
7 |
Correct |
369 ms |
18988 KB |
Output is correct |
8 |
Correct |
384 ms |
18956 KB |
Output is correct |
9 |
Correct |
389 ms |
18956 KB |
Output is correct |
10 |
Correct |
390 ms |
18964 KB |
Output is correct |
11 |
Correct |
373 ms |
18904 KB |
Output is correct |
12 |
Correct |
363 ms |
18968 KB |
Output is correct |
13 |
Correct |
379 ms |
18960 KB |
Output is correct |
14 |
Correct |
370 ms |
19092 KB |
Output is correct |
15 |
Correct |
395 ms |
18984 KB |
Output is correct |
16 |
Correct |
361 ms |
18948 KB |
Output is correct |
17 |
Correct |
411 ms |
19024 KB |
Output is correct |
18 |
Correct |
369 ms |
18948 KB |
Output is correct |
19 |
Correct |
367 ms |
19040 KB |
Output is correct |
20 |
Correct |
396 ms |
18968 KB |
Output is correct |
21 |
Correct |
404 ms |
18944 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
371 ms |
18860 KB |
Output is correct |
2 |
Correct |
361 ms |
18988 KB |
Output is correct |
3 |
Correct |
357 ms |
18968 KB |
Output is correct |
4 |
Correct |
408 ms |
18952 KB |
Output is correct |
5 |
Correct |
367 ms |
18868 KB |
Output is correct |
6 |
Correct |
368 ms |
19016 KB |
Output is correct |
7 |
Correct |
369 ms |
18988 KB |
Output is correct |
8 |
Correct |
384 ms |
18956 KB |
Output is correct |
9 |
Correct |
389 ms |
18956 KB |
Output is correct |
10 |
Correct |
390 ms |
18964 KB |
Output is correct |
11 |
Correct |
373 ms |
18904 KB |
Output is correct |
12 |
Correct |
363 ms |
18968 KB |
Output is correct |
13 |
Correct |
379 ms |
18960 KB |
Output is correct |
14 |
Correct |
370 ms |
19092 KB |
Output is correct |
15 |
Correct |
395 ms |
18984 KB |
Output is correct |
16 |
Correct |
361 ms |
18948 KB |
Output is correct |
17 |
Correct |
411 ms |
19024 KB |
Output is correct |
18 |
Correct |
369 ms |
18948 KB |
Output is correct |
19 |
Correct |
367 ms |
19040 KB |
Output is correct |
20 |
Correct |
396 ms |
18968 KB |
Output is correct |
21 |
Correct |
404 ms |
18944 KB |
Output is correct |
22 |
Correct |
359 ms |
18248 KB |
Output is correct |
23 |
Correct |
368 ms |
18200 KB |
Output is correct |
24 |
Correct |
367 ms |
18252 KB |
Output is correct |
25 |
Correct |
401 ms |
18140 KB |
Output is correct |
26 |
Correct |
372 ms |
18072 KB |
Output is correct |
27 |
Correct |
359 ms |
18188 KB |
Output is correct |
28 |
Correct |
360 ms |
18148 KB |
Output is correct |
29 |
Correct |
362 ms |
18236 KB |
Output is correct |
30 |
Correct |
376 ms |
18148 KB |
Output is correct |
31 |
Correct |
366 ms |
18140 KB |
Output is correct |
32 |
Correct |
365 ms |
18096 KB |
Output is correct |
33 |
Correct |
360 ms |
18120 KB |
Output is correct |
34 |
Correct |
357 ms |
18064 KB |
Output is correct |
35 |
Correct |
358 ms |
18248 KB |
Output is correct |
36 |
Correct |
358 ms |
18140 KB |
Output is correct |
37 |
Correct |
361 ms |
18072 KB |
Output is correct |
38 |
Correct |
363 ms |
18268 KB |
Output is correct |
39 |
Correct |
366 ms |
18124 KB |
Output is correct |
40 |
Correct |
362 ms |
18184 KB |
Output is correct |
41 |
Correct |
366 ms |
18100 KB |
Output is correct |
42 |
Correct |
359 ms |
18136 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
371 ms |
18860 KB |
Output is correct |
2 |
Correct |
361 ms |
18988 KB |
Output is correct |
3 |
Correct |
357 ms |
18968 KB |
Output is correct |
4 |
Correct |
408 ms |
18952 KB |
Output is correct |
5 |
Correct |
367 ms |
18868 KB |
Output is correct |
6 |
Correct |
368 ms |
19016 KB |
Output is correct |
7 |
Correct |
369 ms |
18988 KB |
Output is correct |
8 |
Correct |
384 ms |
18956 KB |
Output is correct |
9 |
Correct |
389 ms |
18956 KB |
Output is correct |
10 |
Correct |
390 ms |
18964 KB |
Output is correct |
11 |
Correct |
373 ms |
18904 KB |
Output is correct |
12 |
Correct |
363 ms |
18968 KB |
Output is correct |
13 |
Correct |
379 ms |
18960 KB |
Output is correct |
14 |
Correct |
370 ms |
19092 KB |
Output is correct |
15 |
Correct |
395 ms |
18984 KB |
Output is correct |
16 |
Correct |
361 ms |
18948 KB |
Output is correct |
17 |
Correct |
411 ms |
19024 KB |
Output is correct |
18 |
Correct |
369 ms |
18948 KB |
Output is correct |
19 |
Correct |
367 ms |
19040 KB |
Output is correct |
20 |
Correct |
396 ms |
18968 KB |
Output is correct |
21 |
Correct |
404 ms |
18944 KB |
Output is correct |
22 |
Correct |
359 ms |
18248 KB |
Output is correct |
23 |
Correct |
368 ms |
18200 KB |
Output is correct |
24 |
Correct |
367 ms |
18252 KB |
Output is correct |
25 |
Correct |
401 ms |
18140 KB |
Output is correct |
26 |
Correct |
372 ms |
18072 KB |
Output is correct |
27 |
Correct |
359 ms |
18188 KB |
Output is correct |
28 |
Correct |
360 ms |
18148 KB |
Output is correct |
29 |
Correct |
362 ms |
18236 KB |
Output is correct |
30 |
Correct |
376 ms |
18148 KB |
Output is correct |
31 |
Correct |
366 ms |
18140 KB |
Output is correct |
32 |
Correct |
365 ms |
18096 KB |
Output is correct |
33 |
Correct |
360 ms |
18120 KB |
Output is correct |
34 |
Correct |
357 ms |
18064 KB |
Output is correct |
35 |
Correct |
358 ms |
18248 KB |
Output is correct |
36 |
Correct |
358 ms |
18140 KB |
Output is correct |
37 |
Correct |
361 ms |
18072 KB |
Output is correct |
38 |
Correct |
363 ms |
18268 KB |
Output is correct |
39 |
Correct |
366 ms |
18124 KB |
Output is correct |
40 |
Correct |
362 ms |
18184 KB |
Output is correct |
41 |
Correct |
366 ms |
18100 KB |
Output is correct |
42 |
Correct |
359 ms |
18136 KB |
Output is correct |
43 |
Correct |
373 ms |
18064 KB |
Output is correct |
44 |
Correct |
359 ms |
18892 KB |
Output is correct |
45 |
Correct |
357 ms |
18712 KB |
Output is correct |
46 |
Correct |
368 ms |
18820 KB |
Output is correct |
47 |
Correct |
360 ms |
18704 KB |
Output is correct |
48 |
Correct |
364 ms |
18752 KB |
Output is correct |
49 |
Correct |
356 ms |
18804 KB |
Output is correct |
50 |
Correct |
367 ms |
18788 KB |
Output is correct |
51 |
Correct |
361 ms |
18768 KB |
Output is correct |
52 |
Correct |
390 ms |
18908 KB |
Output is correct |
53 |
Correct |
361 ms |
18824 KB |
Output is correct |
54 |
Correct |
364 ms |
18824 KB |
Output is correct |
55 |
Correct |
365 ms |
18712 KB |
Output is correct |
56 |
Correct |
371 ms |
18884 KB |
Output is correct |
57 |
Correct |
430 ms |
18708 KB |
Output is correct |
58 |
Correct |
365 ms |
18696 KB |
Output is correct |
59 |
Correct |
359 ms |
18700 KB |
Output is correct |
60 |
Correct |
366 ms |
18700 KB |
Output is correct |
61 |
Correct |
363 ms |
18728 KB |
Output is correct |
62 |
Correct |
365 ms |
18692 KB |
Output is correct |
63 |
Correct |
371 ms |
18604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
371 ms |
18860 KB |
Output is correct |
2 |
Correct |
361 ms |
18988 KB |
Output is correct |
3 |
Correct |
357 ms |
18968 KB |
Output is correct |
4 |
Correct |
408 ms |
18952 KB |
Output is correct |
5 |
Correct |
367 ms |
18868 KB |
Output is correct |
6 |
Correct |
368 ms |
19016 KB |
Output is correct |
7 |
Correct |
369 ms |
18988 KB |
Output is correct |
8 |
Correct |
384 ms |
18956 KB |
Output is correct |
9 |
Correct |
389 ms |
18956 KB |
Output is correct |
10 |
Correct |
390 ms |
18964 KB |
Output is correct |
11 |
Correct |
373 ms |
18904 KB |
Output is correct |
12 |
Correct |
363 ms |
18968 KB |
Output is correct |
13 |
Correct |
379 ms |
18960 KB |
Output is correct |
14 |
Correct |
370 ms |
19092 KB |
Output is correct |
15 |
Correct |
395 ms |
18984 KB |
Output is correct |
16 |
Correct |
361 ms |
18948 KB |
Output is correct |
17 |
Correct |
411 ms |
19024 KB |
Output is correct |
18 |
Correct |
369 ms |
18948 KB |
Output is correct |
19 |
Correct |
367 ms |
19040 KB |
Output is correct |
20 |
Correct |
396 ms |
18968 KB |
Output is correct |
21 |
Correct |
404 ms |
18944 KB |
Output is correct |
22 |
Correct |
359 ms |
18248 KB |
Output is correct |
23 |
Correct |
368 ms |
18200 KB |
Output is correct |
24 |
Correct |
367 ms |
18252 KB |
Output is correct |
25 |
Correct |
401 ms |
18140 KB |
Output is correct |
26 |
Correct |
372 ms |
18072 KB |
Output is correct |
27 |
Correct |
359 ms |
18188 KB |
Output is correct |
28 |
Correct |
360 ms |
18148 KB |
Output is correct |
29 |
Correct |
362 ms |
18236 KB |
Output is correct |
30 |
Correct |
376 ms |
18148 KB |
Output is correct |
31 |
Correct |
366 ms |
18140 KB |
Output is correct |
32 |
Correct |
365 ms |
18096 KB |
Output is correct |
33 |
Correct |
360 ms |
18120 KB |
Output is correct |
34 |
Correct |
357 ms |
18064 KB |
Output is correct |
35 |
Correct |
358 ms |
18248 KB |
Output is correct |
36 |
Correct |
358 ms |
18140 KB |
Output is correct |
37 |
Correct |
361 ms |
18072 KB |
Output is correct |
38 |
Correct |
363 ms |
18268 KB |
Output is correct |
39 |
Correct |
366 ms |
18124 KB |
Output is correct |
40 |
Correct |
362 ms |
18184 KB |
Output is correct |
41 |
Correct |
366 ms |
18100 KB |
Output is correct |
42 |
Correct |
359 ms |
18136 KB |
Output is correct |
43 |
Correct |
373 ms |
18064 KB |
Output is correct |
44 |
Correct |
359 ms |
18892 KB |
Output is correct |
45 |
Correct |
357 ms |
18712 KB |
Output is correct |
46 |
Correct |
368 ms |
18820 KB |
Output is correct |
47 |
Correct |
360 ms |
18704 KB |
Output is correct |
48 |
Correct |
364 ms |
18752 KB |
Output is correct |
49 |
Correct |
356 ms |
18804 KB |
Output is correct |
50 |
Correct |
367 ms |
18788 KB |
Output is correct |
51 |
Correct |
361 ms |
18768 KB |
Output is correct |
52 |
Correct |
390 ms |
18908 KB |
Output is correct |
53 |
Correct |
361 ms |
18824 KB |
Output is correct |
54 |
Correct |
364 ms |
18824 KB |
Output is correct |
55 |
Correct |
365 ms |
18712 KB |
Output is correct |
56 |
Correct |
371 ms |
18884 KB |
Output is correct |
57 |
Correct |
430 ms |
18708 KB |
Output is correct |
58 |
Correct |
365 ms |
18696 KB |
Output is correct |
59 |
Correct |
359 ms |
18700 KB |
Output is correct |
60 |
Correct |
366 ms |
18700 KB |
Output is correct |
61 |
Correct |
363 ms |
18728 KB |
Output is correct |
62 |
Correct |
365 ms |
18692 KB |
Output is correct |
63 |
Correct |
371 ms |
18604 KB |
Output is correct |
64 |
Runtime error |
382 ms |
36880 KB |
Execution killed with signal 11 |
65 |
Halted |
0 ms |
0 KB |
- |