#include <bits/stdc++.h>
using namespace std;
#define sz(x) ((int)size(x))
#define all(x) begin(x), end(x)
#define trace(x) cout << #x << ": " << (x) << endl;
typedef long long ll;
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
int rand(int l, int r) { return (int) ((ll) rnd() % (r - l + 1)) + l; }
const int N = 8, A = 32, L = 11, mod = 998244353;
const ll infL = 3e18;
int g[N][3] = {{1, 2, 4},
{0, 3, 5},
{0, 3, 6},
{1, 2, 7},
{0, 5, 6},
{1, 4, 7},
{2, 4, 7},
{3, 5, 6}};
int n;
int cnt[A][A][L], used[N], dp2[A][A][A], dp7[A][A][A], dp1[A][A][A], dp4[A][A][A];
int ans = 0, len = 0;
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
vector<string> stt;
for (int i = 0; i < n; ++i) {
string s;
cin >> s;
string ss = s;
reverse(all(ss));
stt.push_back(ss);
stt.push_back(s);
}
sort(all(stt));
stt.resize(unique(all(stt)) - begin(stt));
for (string s: stt) {
++cnt[islower(s[0]) ? int(s[0] - 'a') : s[0] - 'A' + 16][islower(s.back()) ? int(s.back() - 'a') : s.back() -
'A' + 16][sz(
s)];
}
for (len = 1; len < L; ++len) {
{
//2
memset(used, -1, sizeof(used));
for (int x0 = 0; x0 < A; ++x0) {
used[0] = x0;
for (int x3 = 0; x3 < A; ++x3) {
used[3] = x3;
for (int x6 = 0; x6 < A; ++x6) {
used[6] = x6;
int sum = 0;
for (int x = 0; x < A; ++x) {
int now = 1;
for (int to: g[2]) {
assert(used[to] != -1);
now = (now * (ll) cnt[x][used[to]][len]) % mod;
}
sum = (sum + now) % mod;
}
dp2[x0][x3][x6] = sum;
}
}
}
}
{
//1
memset(used, -1, sizeof(used));
for (int x0 = 0; x0 < A; ++x0) {
used[0] = x0;
for (int x3 = 0; x3 < A; ++x3) {
used[3] = x3;
for (int x5 = 0; x5 < A; ++x5) {
used[5] = x5;
int sum = 0;
for (int x = 0; x < A; ++x) {
int now = 1;
for (int to: g[1]) {
assert(used[to] != -1);
now = (now * (ll) cnt[x][used[to]][len]) % mod;
}
sum = (sum + now) % mod;
}
dp1[x0][x3][x5] = sum;
}
}
}
}
{
//7
memset(used, -1, sizeof(used));
for (int x6 = 0; x6 < A; ++x6) {
used[6] = x6;
for (int x3 = 0; x3 < A; ++x3) {
used[3] = x3;
for (int x5 = 0; x5 < A; ++x5) {
used[5] = x5;
int sum = 0;
for (int x = 0; x < A; ++x) {
int now = 1;
for (int to: g[7]) {
assert(used[to] != -1);
now = (now * (ll) cnt[x][used[to]][len]) % mod;
}
sum = (sum + now) % mod;
}
dp7[x3][x5][x6] = sum;
}
}
}
}
{
//4
memset(used, -1, sizeof(used));
for (int x0 = 0; x0 < A; ++x0) {
used[0] = x0;
for (int x6 = 0; x6 < A; ++x6) {
used[6] = x6;
for (int x5 = 0; x5 < A; ++x5) {
used[5] = x5;
int sum = 0;
for (int x = 0; x < A; ++x) {
int now = 1;
for (int to: g[4]) {
assert(used[to] != -1);
now = (now * (ll) cnt[x][used[to]][len]) % mod;
}
sum = (sum + now) % mod;
}
dp4[x0][x5][x6] = sum;
}
}
}
}
for (int x0 = 0; x0 < A; ++x0) {
for (int x3 = 0; x3 < A; ++x3) {
for (int x5 = 0; x5 < A; ++x5) {
for (int x6 = 0; x6 < A; ++x6) {
ans = (ans + dp4[x0][x5][x6] * (ll) dp7[x3][x5][x6] % mod * (ll) dp1[x0][x3][x5] % mod *
(ll) dp2[x0][x3][x6]) % mod;
}
}
}
}
}
cout << ans;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
752 ms |
8648 KB |
Output is correct |
2 |
Correct |
727 ms |
8776 KB |
Output is correct |
3 |
Correct |
715 ms |
8776 KB |
Output is correct |
4 |
Correct |
731 ms |
8776 KB |
Output is correct |
5 |
Correct |
742 ms |
8784 KB |
Output is correct |
6 |
Correct |
714 ms |
8776 KB |
Output is correct |
7 |
Correct |
714 ms |
8728 KB |
Output is correct |
8 |
Correct |
718 ms |
8780 KB |
Output is correct |
9 |
Correct |
717 ms |
8776 KB |
Output is correct |
10 |
Correct |
724 ms |
8776 KB |
Output is correct |
11 |
Correct |
748 ms |
8776 KB |
Output is correct |
12 |
Correct |
736 ms |
8772 KB |
Output is correct |
13 |
Correct |
719 ms |
8776 KB |
Output is correct |
14 |
Correct |
730 ms |
8772 KB |
Output is correct |
15 |
Correct |
732 ms |
8776 KB |
Output is correct |
16 |
Correct |
722 ms |
8688 KB |
Output is correct |
17 |
Correct |
709 ms |
8776 KB |
Output is correct |
18 |
Correct |
729 ms |
8828 KB |
Output is correct |
19 |
Correct |
719 ms |
8776 KB |
Output is correct |
20 |
Correct |
718 ms |
8776 KB |
Output is correct |
21 |
Correct |
723 ms |
8776 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
752 ms |
8648 KB |
Output is correct |
2 |
Correct |
727 ms |
8776 KB |
Output is correct |
3 |
Correct |
715 ms |
8776 KB |
Output is correct |
4 |
Correct |
731 ms |
8776 KB |
Output is correct |
5 |
Correct |
742 ms |
8784 KB |
Output is correct |
6 |
Correct |
714 ms |
8776 KB |
Output is correct |
7 |
Correct |
714 ms |
8728 KB |
Output is correct |
8 |
Correct |
718 ms |
8780 KB |
Output is correct |
9 |
Correct |
717 ms |
8776 KB |
Output is correct |
10 |
Correct |
724 ms |
8776 KB |
Output is correct |
11 |
Correct |
748 ms |
8776 KB |
Output is correct |
12 |
Correct |
736 ms |
8772 KB |
Output is correct |
13 |
Correct |
719 ms |
8776 KB |
Output is correct |
14 |
Correct |
730 ms |
8772 KB |
Output is correct |
15 |
Correct |
732 ms |
8776 KB |
Output is correct |
16 |
Correct |
722 ms |
8688 KB |
Output is correct |
17 |
Correct |
709 ms |
8776 KB |
Output is correct |
18 |
Correct |
729 ms |
8828 KB |
Output is correct |
19 |
Correct |
719 ms |
8776 KB |
Output is correct |
20 |
Correct |
718 ms |
8776 KB |
Output is correct |
21 |
Correct |
723 ms |
8776 KB |
Output is correct |
22 |
Correct |
720 ms |
8780 KB |
Output is correct |
23 |
Correct |
702 ms |
9408 KB |
Output is correct |
24 |
Correct |
708 ms |
9380 KB |
Output is correct |
25 |
Correct |
698 ms |
9416 KB |
Output is correct |
26 |
Correct |
714 ms |
9408 KB |
Output is correct |
27 |
Correct |
737 ms |
9408 KB |
Output is correct |
28 |
Correct |
705 ms |
9416 KB |
Output is correct |
29 |
Correct |
705 ms |
9416 KB |
Output is correct |
30 |
Correct |
710 ms |
8648 KB |
Output is correct |
31 |
Correct |
698 ms |
8640 KB |
Output is correct |
32 |
Correct |
717 ms |
8640 KB |
Output is correct |
33 |
Correct |
713 ms |
8584 KB |
Output is correct |
34 |
Correct |
718 ms |
8648 KB |
Output is correct |
35 |
Correct |
722 ms |
8648 KB |
Output is correct |
36 |
Correct |
748 ms |
8592 KB |
Output is correct |
37 |
Correct |
742 ms |
8680 KB |
Output is correct |
38 |
Correct |
700 ms |
8648 KB |
Output is correct |
39 |
Correct |
705 ms |
8648 KB |
Output is correct |
40 |
Correct |
727 ms |
8648 KB |
Output is correct |
41 |
Correct |
731 ms |
8636 KB |
Output is correct |
42 |
Correct |
727 ms |
8648 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
752 ms |
8648 KB |
Output is correct |
2 |
Correct |
727 ms |
8776 KB |
Output is correct |
3 |
Correct |
715 ms |
8776 KB |
Output is correct |
4 |
Correct |
731 ms |
8776 KB |
Output is correct |
5 |
Correct |
742 ms |
8784 KB |
Output is correct |
6 |
Correct |
714 ms |
8776 KB |
Output is correct |
7 |
Correct |
714 ms |
8728 KB |
Output is correct |
8 |
Correct |
718 ms |
8780 KB |
Output is correct |
9 |
Correct |
717 ms |
8776 KB |
Output is correct |
10 |
Correct |
724 ms |
8776 KB |
Output is correct |
11 |
Correct |
748 ms |
8776 KB |
Output is correct |
12 |
Correct |
736 ms |
8772 KB |
Output is correct |
13 |
Correct |
719 ms |
8776 KB |
Output is correct |
14 |
Correct |
730 ms |
8772 KB |
Output is correct |
15 |
Correct |
732 ms |
8776 KB |
Output is correct |
16 |
Correct |
722 ms |
8688 KB |
Output is correct |
17 |
Correct |
709 ms |
8776 KB |
Output is correct |
18 |
Correct |
729 ms |
8828 KB |
Output is correct |
19 |
Correct |
719 ms |
8776 KB |
Output is correct |
20 |
Correct |
718 ms |
8776 KB |
Output is correct |
21 |
Correct |
723 ms |
8776 KB |
Output is correct |
22 |
Correct |
720 ms |
8780 KB |
Output is correct |
23 |
Correct |
702 ms |
9408 KB |
Output is correct |
24 |
Correct |
708 ms |
9380 KB |
Output is correct |
25 |
Correct |
698 ms |
9416 KB |
Output is correct |
26 |
Correct |
714 ms |
9408 KB |
Output is correct |
27 |
Correct |
737 ms |
9408 KB |
Output is correct |
28 |
Correct |
705 ms |
9416 KB |
Output is correct |
29 |
Correct |
705 ms |
9416 KB |
Output is correct |
30 |
Correct |
710 ms |
8648 KB |
Output is correct |
31 |
Correct |
698 ms |
8640 KB |
Output is correct |
32 |
Correct |
717 ms |
8640 KB |
Output is correct |
33 |
Correct |
713 ms |
8584 KB |
Output is correct |
34 |
Correct |
718 ms |
8648 KB |
Output is correct |
35 |
Correct |
722 ms |
8648 KB |
Output is correct |
36 |
Correct |
748 ms |
8592 KB |
Output is correct |
37 |
Correct |
742 ms |
8680 KB |
Output is correct |
38 |
Correct |
700 ms |
8648 KB |
Output is correct |
39 |
Correct |
705 ms |
8648 KB |
Output is correct |
40 |
Correct |
727 ms |
8648 KB |
Output is correct |
41 |
Correct |
731 ms |
8636 KB |
Output is correct |
42 |
Correct |
727 ms |
8648 KB |
Output is correct |
43 |
Correct |
694 ms |
8612 KB |
Output is correct |
44 |
Correct |
723 ms |
9288 KB |
Output is correct |
45 |
Correct |
709 ms |
9288 KB |
Output is correct |
46 |
Correct |
691 ms |
9276 KB |
Output is correct |
47 |
Correct |
696 ms |
9288 KB |
Output is correct |
48 |
Correct |
707 ms |
9288 KB |
Output is correct |
49 |
Correct |
718 ms |
9288 KB |
Output is correct |
50 |
Correct |
699 ms |
9272 KB |
Output is correct |
51 |
Correct |
726 ms |
9288 KB |
Output is correct |
52 |
Correct |
707 ms |
9288 KB |
Output is correct |
53 |
Correct |
702 ms |
9288 KB |
Output is correct |
54 |
Correct |
697 ms |
9288 KB |
Output is correct |
55 |
Correct |
717 ms |
9216 KB |
Output is correct |
56 |
Correct |
698 ms |
9288 KB |
Output is correct |
57 |
Correct |
698 ms |
9308 KB |
Output is correct |
58 |
Correct |
711 ms |
9288 KB |
Output is correct |
59 |
Correct |
739 ms |
9288 KB |
Output is correct |
60 |
Correct |
701 ms |
9288 KB |
Output is correct |
61 |
Correct |
707 ms |
9344 KB |
Output is correct |
62 |
Correct |
722 ms |
9300 KB |
Output is correct |
63 |
Correct |
703 ms |
9288 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
752 ms |
8648 KB |
Output is correct |
2 |
Correct |
727 ms |
8776 KB |
Output is correct |
3 |
Correct |
715 ms |
8776 KB |
Output is correct |
4 |
Correct |
731 ms |
8776 KB |
Output is correct |
5 |
Correct |
742 ms |
8784 KB |
Output is correct |
6 |
Correct |
714 ms |
8776 KB |
Output is correct |
7 |
Correct |
714 ms |
8728 KB |
Output is correct |
8 |
Correct |
718 ms |
8780 KB |
Output is correct |
9 |
Correct |
717 ms |
8776 KB |
Output is correct |
10 |
Correct |
724 ms |
8776 KB |
Output is correct |
11 |
Correct |
748 ms |
8776 KB |
Output is correct |
12 |
Correct |
736 ms |
8772 KB |
Output is correct |
13 |
Correct |
719 ms |
8776 KB |
Output is correct |
14 |
Correct |
730 ms |
8772 KB |
Output is correct |
15 |
Correct |
732 ms |
8776 KB |
Output is correct |
16 |
Correct |
722 ms |
8688 KB |
Output is correct |
17 |
Correct |
709 ms |
8776 KB |
Output is correct |
18 |
Correct |
729 ms |
8828 KB |
Output is correct |
19 |
Correct |
719 ms |
8776 KB |
Output is correct |
20 |
Correct |
718 ms |
8776 KB |
Output is correct |
21 |
Correct |
723 ms |
8776 KB |
Output is correct |
22 |
Correct |
720 ms |
8780 KB |
Output is correct |
23 |
Correct |
702 ms |
9408 KB |
Output is correct |
24 |
Correct |
708 ms |
9380 KB |
Output is correct |
25 |
Correct |
698 ms |
9416 KB |
Output is correct |
26 |
Correct |
714 ms |
9408 KB |
Output is correct |
27 |
Correct |
737 ms |
9408 KB |
Output is correct |
28 |
Correct |
705 ms |
9416 KB |
Output is correct |
29 |
Correct |
705 ms |
9416 KB |
Output is correct |
30 |
Correct |
710 ms |
8648 KB |
Output is correct |
31 |
Correct |
698 ms |
8640 KB |
Output is correct |
32 |
Correct |
717 ms |
8640 KB |
Output is correct |
33 |
Correct |
713 ms |
8584 KB |
Output is correct |
34 |
Correct |
718 ms |
8648 KB |
Output is correct |
35 |
Correct |
722 ms |
8648 KB |
Output is correct |
36 |
Correct |
748 ms |
8592 KB |
Output is correct |
37 |
Correct |
742 ms |
8680 KB |
Output is correct |
38 |
Correct |
700 ms |
8648 KB |
Output is correct |
39 |
Correct |
705 ms |
8648 KB |
Output is correct |
40 |
Correct |
727 ms |
8648 KB |
Output is correct |
41 |
Correct |
731 ms |
8636 KB |
Output is correct |
42 |
Correct |
727 ms |
8648 KB |
Output is correct |
43 |
Correct |
694 ms |
8612 KB |
Output is correct |
44 |
Correct |
723 ms |
9288 KB |
Output is correct |
45 |
Correct |
709 ms |
9288 KB |
Output is correct |
46 |
Correct |
691 ms |
9276 KB |
Output is correct |
47 |
Correct |
696 ms |
9288 KB |
Output is correct |
48 |
Correct |
707 ms |
9288 KB |
Output is correct |
49 |
Correct |
718 ms |
9288 KB |
Output is correct |
50 |
Correct |
699 ms |
9272 KB |
Output is correct |
51 |
Correct |
726 ms |
9288 KB |
Output is correct |
52 |
Correct |
707 ms |
9288 KB |
Output is correct |
53 |
Correct |
702 ms |
9288 KB |
Output is correct |
54 |
Correct |
697 ms |
9288 KB |
Output is correct |
55 |
Correct |
717 ms |
9216 KB |
Output is correct |
56 |
Correct |
698 ms |
9288 KB |
Output is correct |
57 |
Correct |
698 ms |
9308 KB |
Output is correct |
58 |
Correct |
711 ms |
9288 KB |
Output is correct |
59 |
Correct |
739 ms |
9288 KB |
Output is correct |
60 |
Correct |
701 ms |
9288 KB |
Output is correct |
61 |
Correct |
707 ms |
9344 KB |
Output is correct |
62 |
Correct |
722 ms |
9300 KB |
Output is correct |
63 |
Correct |
703 ms |
9288 KB |
Output is correct |
64 |
Runtime error |
712 ms |
15312 KB |
Execution killed with signal 11 |
65 |
Halted |
0 ms |
0 KB |
- |