#include <bits/stdc++.h>
using namespace std;
#define nl '\n'
const int MOD = 998244353;
using ll = int;
using str = string;
template<class T> using V = vector<T>;
int main() {
cin.tie(0)->sync_with_stdio(0);
int N; cin >> N;
V<V<str>> A(11);
for(int i = 0; i < N; i++) {
str s; cin >> s;
A[size(s)].push_back(s);
reverse(begin(s), end(s));
A[size(s)].push_back(s);
}
auto TO = [&](const char &c) {
if (islower(c)) return c - 'a';
if (isupper(c)) return c - 'A' + 26;
if (isdigit(c)) return c - '0' + 52;
return -1;
};
const int C = 62;
V<ll> fact = {1, 1, 2, 6, 24};
ll ans = 0;
for(int l = 3; l <= 10; l++) {
sort(begin(A[l]), end(A[l]));
A[l].erase(unique(begin(A[l]), end(A[l])), end(A[l]));
V<V<ll>> CNT(C, V<ll>(C));
for(auto s : A[l]) CNT[TO(s.front())][TO(s.back())]++;
V<V<V<ll>>> ways(C, V<V<ll>>(C, V<ll>(C)));
for(int a = 0; a < C; a++) for(int b = 0; b < C; b++) if (CNT[a][b] != 0) {
for(int c = b; c < C; c++) if (CNT[a][c] != 0) {
for(int d = c; d < C; d++) if (CNT[a][d] != 0) {
ll way = (((CNT[a][b] * 1LL * CNT[a][c]) % MOD) * 1LL * CNT[a][d]) % MOD;
ways[b][c][d] += way;
if (ways[b][c][d] >= MOD) ways[b][c][d] -= MOD;
}
}
}
vector<int> v;
vector<int> amt(C);
for(int a = 0; a < C; a++) for(int b = a; b < C; b++) for(int c = b; c < C; c++) {
if (ways[a][b][c] == 0) continue;
for(int d = c; d < C; d++) if (min(ways[a][b][d], min(ways[a][c][d], ways[b][c][d])) != 0) {
ll way = ((ways[a][b][c] * 1LL * ways[a][b][d]) % MOD) * 1LL * ((ways[a][c][d] * 1LL * ways[b][c][d]) % MOD) % MOD;
ll res = fact[4];
v = {a, b, c, d};
for(const auto &x : v) amt[x]++;
for(const auto &x : v) {
res /= fact[amt[x]];
amt[x] = 0;
}
ans += (way * 1LL * res) % MOD;
if (ans >= MOD) ans -= MOD;
}
}
}
cout << ans << nl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
8552 KB |
Output is correct |
2 |
Correct |
46 ms |
8560 KB |
Output is correct |
3 |
Correct |
51 ms |
8584 KB |
Output is correct |
4 |
Correct |
46 ms |
8592 KB |
Output is correct |
5 |
Correct |
46 ms |
8712 KB |
Output is correct |
6 |
Correct |
45 ms |
8608 KB |
Output is correct |
7 |
Correct |
45 ms |
8612 KB |
Output is correct |
8 |
Correct |
45 ms |
8568 KB |
Output is correct |
9 |
Correct |
46 ms |
8528 KB |
Output is correct |
10 |
Correct |
45 ms |
8616 KB |
Output is correct |
11 |
Correct |
46 ms |
8580 KB |
Output is correct |
12 |
Correct |
53 ms |
8612 KB |
Output is correct |
13 |
Correct |
46 ms |
8600 KB |
Output is correct |
14 |
Correct |
46 ms |
8612 KB |
Output is correct |
15 |
Correct |
46 ms |
8612 KB |
Output is correct |
16 |
Correct |
46 ms |
8568 KB |
Output is correct |
17 |
Correct |
45 ms |
8608 KB |
Output is correct |
18 |
Correct |
46 ms |
8520 KB |
Output is correct |
19 |
Correct |
45 ms |
8552 KB |
Output is correct |
20 |
Correct |
45 ms |
8616 KB |
Output is correct |
21 |
Correct |
49 ms |
8544 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
8552 KB |
Output is correct |
2 |
Correct |
46 ms |
8560 KB |
Output is correct |
3 |
Correct |
51 ms |
8584 KB |
Output is correct |
4 |
Correct |
46 ms |
8592 KB |
Output is correct |
5 |
Correct |
46 ms |
8712 KB |
Output is correct |
6 |
Correct |
45 ms |
8608 KB |
Output is correct |
7 |
Correct |
45 ms |
8612 KB |
Output is correct |
8 |
Correct |
45 ms |
8568 KB |
Output is correct |
9 |
Correct |
46 ms |
8528 KB |
Output is correct |
10 |
Correct |
45 ms |
8616 KB |
Output is correct |
11 |
Correct |
46 ms |
8580 KB |
Output is correct |
12 |
Correct |
53 ms |
8612 KB |
Output is correct |
13 |
Correct |
46 ms |
8600 KB |
Output is correct |
14 |
Correct |
46 ms |
8612 KB |
Output is correct |
15 |
Correct |
46 ms |
8612 KB |
Output is correct |
16 |
Correct |
46 ms |
8568 KB |
Output is correct |
17 |
Correct |
45 ms |
8608 KB |
Output is correct |
18 |
Correct |
46 ms |
8520 KB |
Output is correct |
19 |
Correct |
45 ms |
8552 KB |
Output is correct |
20 |
Correct |
45 ms |
8616 KB |
Output is correct |
21 |
Correct |
49 ms |
8544 KB |
Output is correct |
22 |
Correct |
48 ms |
8472 KB |
Output is correct |
23 |
Correct |
56 ms |
8476 KB |
Output is correct |
24 |
Correct |
48 ms |
8480 KB |
Output is correct |
25 |
Correct |
48 ms |
8456 KB |
Output is correct |
26 |
Correct |
50 ms |
8376 KB |
Output is correct |
27 |
Correct |
48 ms |
8480 KB |
Output is correct |
28 |
Correct |
49 ms |
8452 KB |
Output is correct |
29 |
Correct |
48 ms |
8472 KB |
Output is correct |
30 |
Correct |
48 ms |
8464 KB |
Output is correct |
31 |
Correct |
58 ms |
8436 KB |
Output is correct |
32 |
Correct |
49 ms |
8480 KB |
Output is correct |
33 |
Correct |
47 ms |
8460 KB |
Output is correct |
34 |
Correct |
47 ms |
8476 KB |
Output is correct |
35 |
Correct |
47 ms |
8508 KB |
Output is correct |
36 |
Correct |
47 ms |
8496 KB |
Output is correct |
37 |
Correct |
48 ms |
8420 KB |
Output is correct |
38 |
Correct |
47 ms |
8472 KB |
Output is correct |
39 |
Correct |
48 ms |
8492 KB |
Output is correct |
40 |
Correct |
49 ms |
8480 KB |
Output is correct |
41 |
Correct |
48 ms |
8460 KB |
Output is correct |
42 |
Correct |
47 ms |
8484 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
8552 KB |
Output is correct |
2 |
Correct |
46 ms |
8560 KB |
Output is correct |
3 |
Correct |
51 ms |
8584 KB |
Output is correct |
4 |
Correct |
46 ms |
8592 KB |
Output is correct |
5 |
Correct |
46 ms |
8712 KB |
Output is correct |
6 |
Correct |
45 ms |
8608 KB |
Output is correct |
7 |
Correct |
45 ms |
8612 KB |
Output is correct |
8 |
Correct |
45 ms |
8568 KB |
Output is correct |
9 |
Correct |
46 ms |
8528 KB |
Output is correct |
10 |
Correct |
45 ms |
8616 KB |
Output is correct |
11 |
Correct |
46 ms |
8580 KB |
Output is correct |
12 |
Correct |
53 ms |
8612 KB |
Output is correct |
13 |
Correct |
46 ms |
8600 KB |
Output is correct |
14 |
Correct |
46 ms |
8612 KB |
Output is correct |
15 |
Correct |
46 ms |
8612 KB |
Output is correct |
16 |
Correct |
46 ms |
8568 KB |
Output is correct |
17 |
Correct |
45 ms |
8608 KB |
Output is correct |
18 |
Correct |
46 ms |
8520 KB |
Output is correct |
19 |
Correct |
45 ms |
8552 KB |
Output is correct |
20 |
Correct |
45 ms |
8616 KB |
Output is correct |
21 |
Correct |
49 ms |
8544 KB |
Output is correct |
22 |
Correct |
48 ms |
8472 KB |
Output is correct |
23 |
Correct |
56 ms |
8476 KB |
Output is correct |
24 |
Correct |
48 ms |
8480 KB |
Output is correct |
25 |
Correct |
48 ms |
8456 KB |
Output is correct |
26 |
Correct |
50 ms |
8376 KB |
Output is correct |
27 |
Correct |
48 ms |
8480 KB |
Output is correct |
28 |
Correct |
49 ms |
8452 KB |
Output is correct |
29 |
Correct |
48 ms |
8472 KB |
Output is correct |
30 |
Correct |
48 ms |
8464 KB |
Output is correct |
31 |
Correct |
58 ms |
8436 KB |
Output is correct |
32 |
Correct |
49 ms |
8480 KB |
Output is correct |
33 |
Correct |
47 ms |
8460 KB |
Output is correct |
34 |
Correct |
47 ms |
8476 KB |
Output is correct |
35 |
Correct |
47 ms |
8508 KB |
Output is correct |
36 |
Correct |
47 ms |
8496 KB |
Output is correct |
37 |
Correct |
48 ms |
8420 KB |
Output is correct |
38 |
Correct |
47 ms |
8472 KB |
Output is correct |
39 |
Correct |
48 ms |
8492 KB |
Output is correct |
40 |
Correct |
49 ms |
8480 KB |
Output is correct |
41 |
Correct |
48 ms |
8460 KB |
Output is correct |
42 |
Correct |
47 ms |
8484 KB |
Output is correct |
43 |
Correct |
74 ms |
8432 KB |
Output is correct |
44 |
Correct |
74 ms |
8472 KB |
Output is correct |
45 |
Correct |
76 ms |
8464 KB |
Output is correct |
46 |
Correct |
73 ms |
8452 KB |
Output is correct |
47 |
Correct |
80 ms |
8444 KB |
Output is correct |
48 |
Correct |
75 ms |
8440 KB |
Output is correct |
49 |
Correct |
73 ms |
8432 KB |
Output is correct |
50 |
Correct |
76 ms |
8492 KB |
Output is correct |
51 |
Correct |
74 ms |
8428 KB |
Output is correct |
52 |
Correct |
80 ms |
8452 KB |
Output is correct |
53 |
Correct |
76 ms |
8452 KB |
Output is correct |
54 |
Correct |
77 ms |
8436 KB |
Output is correct |
55 |
Correct |
74 ms |
8440 KB |
Output is correct |
56 |
Correct |
74 ms |
8452 KB |
Output is correct |
57 |
Correct |
73 ms |
8428 KB |
Output is correct |
58 |
Correct |
79 ms |
8452 KB |
Output is correct |
59 |
Correct |
76 ms |
8444 KB |
Output is correct |
60 |
Correct |
80 ms |
8452 KB |
Output is correct |
61 |
Correct |
74 ms |
8420 KB |
Output is correct |
62 |
Correct |
73 ms |
8456 KB |
Output is correct |
63 |
Correct |
73 ms |
8444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
46 ms |
8552 KB |
Output is correct |
2 |
Correct |
46 ms |
8560 KB |
Output is correct |
3 |
Correct |
51 ms |
8584 KB |
Output is correct |
4 |
Correct |
46 ms |
8592 KB |
Output is correct |
5 |
Correct |
46 ms |
8712 KB |
Output is correct |
6 |
Correct |
45 ms |
8608 KB |
Output is correct |
7 |
Correct |
45 ms |
8612 KB |
Output is correct |
8 |
Correct |
45 ms |
8568 KB |
Output is correct |
9 |
Correct |
46 ms |
8528 KB |
Output is correct |
10 |
Correct |
45 ms |
8616 KB |
Output is correct |
11 |
Correct |
46 ms |
8580 KB |
Output is correct |
12 |
Correct |
53 ms |
8612 KB |
Output is correct |
13 |
Correct |
46 ms |
8600 KB |
Output is correct |
14 |
Correct |
46 ms |
8612 KB |
Output is correct |
15 |
Correct |
46 ms |
8612 KB |
Output is correct |
16 |
Correct |
46 ms |
8568 KB |
Output is correct |
17 |
Correct |
45 ms |
8608 KB |
Output is correct |
18 |
Correct |
46 ms |
8520 KB |
Output is correct |
19 |
Correct |
45 ms |
8552 KB |
Output is correct |
20 |
Correct |
45 ms |
8616 KB |
Output is correct |
21 |
Correct |
49 ms |
8544 KB |
Output is correct |
22 |
Correct |
48 ms |
8472 KB |
Output is correct |
23 |
Correct |
56 ms |
8476 KB |
Output is correct |
24 |
Correct |
48 ms |
8480 KB |
Output is correct |
25 |
Correct |
48 ms |
8456 KB |
Output is correct |
26 |
Correct |
50 ms |
8376 KB |
Output is correct |
27 |
Correct |
48 ms |
8480 KB |
Output is correct |
28 |
Correct |
49 ms |
8452 KB |
Output is correct |
29 |
Correct |
48 ms |
8472 KB |
Output is correct |
30 |
Correct |
48 ms |
8464 KB |
Output is correct |
31 |
Correct |
58 ms |
8436 KB |
Output is correct |
32 |
Correct |
49 ms |
8480 KB |
Output is correct |
33 |
Correct |
47 ms |
8460 KB |
Output is correct |
34 |
Correct |
47 ms |
8476 KB |
Output is correct |
35 |
Correct |
47 ms |
8508 KB |
Output is correct |
36 |
Correct |
47 ms |
8496 KB |
Output is correct |
37 |
Correct |
48 ms |
8420 KB |
Output is correct |
38 |
Correct |
47 ms |
8472 KB |
Output is correct |
39 |
Correct |
48 ms |
8492 KB |
Output is correct |
40 |
Correct |
49 ms |
8480 KB |
Output is correct |
41 |
Correct |
48 ms |
8460 KB |
Output is correct |
42 |
Correct |
47 ms |
8484 KB |
Output is correct |
43 |
Correct |
74 ms |
8432 KB |
Output is correct |
44 |
Correct |
74 ms |
8472 KB |
Output is correct |
45 |
Correct |
76 ms |
8464 KB |
Output is correct |
46 |
Correct |
73 ms |
8452 KB |
Output is correct |
47 |
Correct |
80 ms |
8444 KB |
Output is correct |
48 |
Correct |
75 ms |
8440 KB |
Output is correct |
49 |
Correct |
73 ms |
8432 KB |
Output is correct |
50 |
Correct |
76 ms |
8492 KB |
Output is correct |
51 |
Correct |
74 ms |
8428 KB |
Output is correct |
52 |
Correct |
80 ms |
8452 KB |
Output is correct |
53 |
Correct |
76 ms |
8452 KB |
Output is correct |
54 |
Correct |
77 ms |
8436 KB |
Output is correct |
55 |
Correct |
74 ms |
8440 KB |
Output is correct |
56 |
Correct |
74 ms |
8452 KB |
Output is correct |
57 |
Correct |
73 ms |
8428 KB |
Output is correct |
58 |
Correct |
79 ms |
8452 KB |
Output is correct |
59 |
Correct |
76 ms |
8444 KB |
Output is correct |
60 |
Correct |
80 ms |
8452 KB |
Output is correct |
61 |
Correct |
74 ms |
8420 KB |
Output is correct |
62 |
Correct |
73 ms |
8456 KB |
Output is correct |
63 |
Correct |
73 ms |
8444 KB |
Output is correct |
64 |
Correct |
350 ms |
8468 KB |
Output is correct |
65 |
Correct |
354 ms |
8424 KB |
Output is correct |
66 |
Correct |
350 ms |
8476 KB |
Output is correct |
67 |
Correct |
347 ms |
8464 KB |
Output is correct |
68 |
Correct |
347 ms |
8568 KB |
Output is correct |
69 |
Correct |
348 ms |
8440 KB |
Output is correct |
70 |
Correct |
360 ms |
8468 KB |
Output is correct |
71 |
Correct |
347 ms |
8456 KB |
Output is correct |
72 |
Correct |
358 ms |
8508 KB |
Output is correct |
73 |
Correct |
348 ms |
8444 KB |
Output is correct |
74 |
Correct |
356 ms |
8532 KB |
Output is correct |
75 |
Correct |
353 ms |
8436 KB |
Output is correct |
76 |
Correct |
348 ms |
8440 KB |
Output is correct |
77 |
Correct |
347 ms |
8472 KB |
Output is correct |
78 |
Correct |
347 ms |
8428 KB |
Output is correct |
79 |
Correct |
365 ms |
8436 KB |
Output is correct |
80 |
Correct |
350 ms |
8436 KB |
Output is correct |
81 |
Correct |
358 ms |
8544 KB |
Output is correct |
82 |
Correct |
347 ms |
8436 KB |
Output is correct |
83 |
Correct |
352 ms |
8424 KB |
Output is correct |
84 |
Correct |
350 ms |
8460 KB |
Output is correct |