#include <bits/stdc++.h>
using namespace std;
const long long MOD = 998244353ll;
const int MX = 62;
const vector<long long> fact = {1, 1, 2, 6, 24};
int to_int(char c) {
if (c <= '9') {
return c - '0';
}
if (c <= 'Z') {
return c - 'A' + 10;
}
return c - 'a' + 36;
}
void add(long long& a, long long b) {
a += b;
if (a >= MOD) {
a -= MOD;
}
}
long long mul(long long a, long long b) {
return (a * b) % MOD;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
vector< vector<string> > in(11);
for (int i = 0; i < n; i++) {
string s;
cin >> s;
in[(int) s.length()].push_back(s);
}
long long ans = 0;
for (int len = 3; len <= 10; len++) {
if (in[len].empty()) {
continue;
}
vector< vector<long long> > v(MX, vector<long long>(MX));
vector<int> ch;
set<string> st;
for (auto& s : in[len]) {
string t = s;
reverse(t.begin(), t.end());
if (st.count(t)) {
continue;
}
int a = to_int(s[0]);
ch.push_back(a);
int b = to_int(s.back());
ch.push_back(b);
if (a == b) {
if (s == t) {
add(v[a][a], 1);
} else {
add(v[a][a], 2);
}
} else {
add(v[a][b], 1);
add(v[b][a], 1);
}
st.insert(s);
}
sort(ch.begin(), ch.end());
ch.erase(unique(ch.begin(), ch.end()), ch.end());
int m = (int) ch.size();
vector< vector< vector<long long> > > d(MX, vector< vector<long long> >(MX, vector<long long>(MX, 0)));
for (int i1 = 0; i1 < m; i1++) {
int a = ch[i1];
for (int i2 = i1; i2 < m; i2++) {
int b = ch[i2];
for (int i3 = i2; i3 < m; i3++) {
int c = ch[i3];
for (int j = 0; j < m; j++) {
int k = ch[j];
add(d[a][b][c], mul(v[a][k], mul(v[b][k], v[c][k])));
}
d[a][c][b] = d[b][a][c] = d[b][c][a] = d[c][a][b] = d[c][b][a] = d[a][b][c];
}
}
}
for (int i1 = 0; i1 < m; i1++) {
int a = ch[i1];
for (int i2 = i1; i2 < m; i2++) {
int b = ch[i2];
for (int i3 = i2; i3 < m; i3++) {
int c = ch[i3];
for (int i4 = i3; i4 < m; i4++) {
int k = ch[i4];
vector<int> tmp(4);
tmp[0] = a; tmp[1] = b; tmp[2] = c; tmp[3] = k;
sort(tmp.begin(), tmp.end());
long long div = 24ll;
int cur = 1;
for (int i = 1; i < 4; i++) {
if (tmp[i] == tmp[i - 1]) {
cur++;
} else {
div /= fact[cur];
cur = 1;
}
}
div /= fact[cur];
add(ans, mul(div, mul(d[a][b][c], mul(d[a][b][k], mul(d[a][c][k], d[b][c][k])))));
}
}
}
}
}
cout << ans << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
52 ms |
8064 KB |
Output is correct |
2 |
Correct |
56 ms |
8088 KB |
Output is correct |
3 |
Correct |
50 ms |
8036 KB |
Output is correct |
4 |
Correct |
50 ms |
8116 KB |
Output is correct |
5 |
Correct |
50 ms |
8072 KB |
Output is correct |
6 |
Correct |
50 ms |
8092 KB |
Output is correct |
7 |
Correct |
50 ms |
8100 KB |
Output is correct |
8 |
Correct |
51 ms |
8084 KB |
Output is correct |
9 |
Correct |
50 ms |
8076 KB |
Output is correct |
10 |
Correct |
64 ms |
8080 KB |
Output is correct |
11 |
Correct |
51 ms |
8156 KB |
Output is correct |
12 |
Correct |
55 ms |
8252 KB |
Output is correct |
13 |
Correct |
51 ms |
8188 KB |
Output is correct |
14 |
Correct |
51 ms |
8224 KB |
Output is correct |
15 |
Correct |
56 ms |
8116 KB |
Output is correct |
16 |
Correct |
50 ms |
8036 KB |
Output is correct |
17 |
Correct |
50 ms |
8120 KB |
Output is correct |
18 |
Correct |
51 ms |
8032 KB |
Output is correct |
19 |
Correct |
50 ms |
8112 KB |
Output is correct |
20 |
Correct |
54 ms |
8092 KB |
Output is correct |
21 |
Correct |
52 ms |
8064 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
52 ms |
8064 KB |
Output is correct |
2 |
Correct |
56 ms |
8088 KB |
Output is correct |
3 |
Correct |
50 ms |
8036 KB |
Output is correct |
4 |
Correct |
50 ms |
8116 KB |
Output is correct |
5 |
Correct |
50 ms |
8072 KB |
Output is correct |
6 |
Correct |
50 ms |
8092 KB |
Output is correct |
7 |
Correct |
50 ms |
8100 KB |
Output is correct |
8 |
Correct |
51 ms |
8084 KB |
Output is correct |
9 |
Correct |
50 ms |
8076 KB |
Output is correct |
10 |
Correct |
64 ms |
8080 KB |
Output is correct |
11 |
Correct |
51 ms |
8156 KB |
Output is correct |
12 |
Correct |
55 ms |
8252 KB |
Output is correct |
13 |
Correct |
51 ms |
8188 KB |
Output is correct |
14 |
Correct |
51 ms |
8224 KB |
Output is correct |
15 |
Correct |
56 ms |
8116 KB |
Output is correct |
16 |
Correct |
50 ms |
8036 KB |
Output is correct |
17 |
Correct |
50 ms |
8120 KB |
Output is correct |
18 |
Correct |
51 ms |
8032 KB |
Output is correct |
19 |
Correct |
50 ms |
8112 KB |
Output is correct |
20 |
Correct |
54 ms |
8092 KB |
Output is correct |
21 |
Correct |
52 ms |
8064 KB |
Output is correct |
22 |
Correct |
52 ms |
7568 KB |
Output is correct |
23 |
Correct |
52 ms |
7520 KB |
Output is correct |
24 |
Correct |
53 ms |
7520 KB |
Output is correct |
25 |
Correct |
52 ms |
7544 KB |
Output is correct |
26 |
Correct |
53 ms |
7528 KB |
Output is correct |
27 |
Correct |
56 ms |
7548 KB |
Output is correct |
28 |
Correct |
52 ms |
7536 KB |
Output is correct |
29 |
Correct |
51 ms |
7560 KB |
Output is correct |
30 |
Correct |
51 ms |
7532 KB |
Output is correct |
31 |
Correct |
51 ms |
7560 KB |
Output is correct |
32 |
Correct |
52 ms |
7504 KB |
Output is correct |
33 |
Correct |
52 ms |
7520 KB |
Output is correct |
34 |
Correct |
53 ms |
7544 KB |
Output is correct |
35 |
Correct |
79 ms |
7548 KB |
Output is correct |
36 |
Correct |
64 ms |
7516 KB |
Output is correct |
37 |
Correct |
51 ms |
7556 KB |
Output is correct |
38 |
Correct |
65 ms |
7556 KB |
Output is correct |
39 |
Correct |
66 ms |
7540 KB |
Output is correct |
40 |
Correct |
52 ms |
7540 KB |
Output is correct |
41 |
Correct |
51 ms |
7492 KB |
Output is correct |
42 |
Correct |
56 ms |
7632 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
52 ms |
8064 KB |
Output is correct |
2 |
Correct |
56 ms |
8088 KB |
Output is correct |
3 |
Correct |
50 ms |
8036 KB |
Output is correct |
4 |
Correct |
50 ms |
8116 KB |
Output is correct |
5 |
Correct |
50 ms |
8072 KB |
Output is correct |
6 |
Correct |
50 ms |
8092 KB |
Output is correct |
7 |
Correct |
50 ms |
8100 KB |
Output is correct |
8 |
Correct |
51 ms |
8084 KB |
Output is correct |
9 |
Correct |
50 ms |
8076 KB |
Output is correct |
10 |
Correct |
64 ms |
8080 KB |
Output is correct |
11 |
Correct |
51 ms |
8156 KB |
Output is correct |
12 |
Correct |
55 ms |
8252 KB |
Output is correct |
13 |
Correct |
51 ms |
8188 KB |
Output is correct |
14 |
Correct |
51 ms |
8224 KB |
Output is correct |
15 |
Correct |
56 ms |
8116 KB |
Output is correct |
16 |
Correct |
50 ms |
8036 KB |
Output is correct |
17 |
Correct |
50 ms |
8120 KB |
Output is correct |
18 |
Correct |
51 ms |
8032 KB |
Output is correct |
19 |
Correct |
50 ms |
8112 KB |
Output is correct |
20 |
Correct |
54 ms |
8092 KB |
Output is correct |
21 |
Correct |
52 ms |
8064 KB |
Output is correct |
22 |
Correct |
52 ms |
7568 KB |
Output is correct |
23 |
Correct |
52 ms |
7520 KB |
Output is correct |
24 |
Correct |
53 ms |
7520 KB |
Output is correct |
25 |
Correct |
52 ms |
7544 KB |
Output is correct |
26 |
Correct |
53 ms |
7528 KB |
Output is correct |
27 |
Correct |
56 ms |
7548 KB |
Output is correct |
28 |
Correct |
52 ms |
7536 KB |
Output is correct |
29 |
Correct |
51 ms |
7560 KB |
Output is correct |
30 |
Correct |
51 ms |
7532 KB |
Output is correct |
31 |
Correct |
51 ms |
7560 KB |
Output is correct |
32 |
Correct |
52 ms |
7504 KB |
Output is correct |
33 |
Correct |
52 ms |
7520 KB |
Output is correct |
34 |
Correct |
53 ms |
7544 KB |
Output is correct |
35 |
Correct |
79 ms |
7548 KB |
Output is correct |
36 |
Correct |
64 ms |
7516 KB |
Output is correct |
37 |
Correct |
51 ms |
7556 KB |
Output is correct |
38 |
Correct |
65 ms |
7556 KB |
Output is correct |
39 |
Correct |
66 ms |
7540 KB |
Output is correct |
40 |
Correct |
52 ms |
7540 KB |
Output is correct |
41 |
Correct |
51 ms |
7492 KB |
Output is correct |
42 |
Correct |
56 ms |
7632 KB |
Output is correct |
43 |
Correct |
70 ms |
7512 KB |
Output is correct |
44 |
Correct |
69 ms |
7604 KB |
Output is correct |
45 |
Correct |
67 ms |
7408 KB |
Output is correct |
46 |
Correct |
71 ms |
7520 KB |
Output is correct |
47 |
Correct |
73 ms |
7424 KB |
Output is correct |
48 |
Correct |
73 ms |
7404 KB |
Output is correct |
49 |
Correct |
88 ms |
7400 KB |
Output is correct |
50 |
Correct |
71 ms |
7444 KB |
Output is correct |
51 |
Correct |
72 ms |
7416 KB |
Output is correct |
52 |
Correct |
80 ms |
7516 KB |
Output is correct |
53 |
Correct |
69 ms |
7552 KB |
Output is correct |
54 |
Correct |
72 ms |
7616 KB |
Output is correct |
55 |
Correct |
69 ms |
7396 KB |
Output is correct |
56 |
Correct |
99 ms |
7600 KB |
Output is correct |
57 |
Correct |
73 ms |
7424 KB |
Output is correct |
58 |
Correct |
69 ms |
7412 KB |
Output is correct |
59 |
Correct |
68 ms |
7400 KB |
Output is correct |
60 |
Correct |
73 ms |
7424 KB |
Output is correct |
61 |
Correct |
70 ms |
7384 KB |
Output is correct |
62 |
Correct |
86 ms |
7412 KB |
Output is correct |
63 |
Correct |
83 ms |
7428 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
52 ms |
8064 KB |
Output is correct |
2 |
Correct |
56 ms |
8088 KB |
Output is correct |
3 |
Correct |
50 ms |
8036 KB |
Output is correct |
4 |
Correct |
50 ms |
8116 KB |
Output is correct |
5 |
Correct |
50 ms |
8072 KB |
Output is correct |
6 |
Correct |
50 ms |
8092 KB |
Output is correct |
7 |
Correct |
50 ms |
8100 KB |
Output is correct |
8 |
Correct |
51 ms |
8084 KB |
Output is correct |
9 |
Correct |
50 ms |
8076 KB |
Output is correct |
10 |
Correct |
64 ms |
8080 KB |
Output is correct |
11 |
Correct |
51 ms |
8156 KB |
Output is correct |
12 |
Correct |
55 ms |
8252 KB |
Output is correct |
13 |
Correct |
51 ms |
8188 KB |
Output is correct |
14 |
Correct |
51 ms |
8224 KB |
Output is correct |
15 |
Correct |
56 ms |
8116 KB |
Output is correct |
16 |
Correct |
50 ms |
8036 KB |
Output is correct |
17 |
Correct |
50 ms |
8120 KB |
Output is correct |
18 |
Correct |
51 ms |
8032 KB |
Output is correct |
19 |
Correct |
50 ms |
8112 KB |
Output is correct |
20 |
Correct |
54 ms |
8092 KB |
Output is correct |
21 |
Correct |
52 ms |
8064 KB |
Output is correct |
22 |
Correct |
52 ms |
7568 KB |
Output is correct |
23 |
Correct |
52 ms |
7520 KB |
Output is correct |
24 |
Correct |
53 ms |
7520 KB |
Output is correct |
25 |
Correct |
52 ms |
7544 KB |
Output is correct |
26 |
Correct |
53 ms |
7528 KB |
Output is correct |
27 |
Correct |
56 ms |
7548 KB |
Output is correct |
28 |
Correct |
52 ms |
7536 KB |
Output is correct |
29 |
Correct |
51 ms |
7560 KB |
Output is correct |
30 |
Correct |
51 ms |
7532 KB |
Output is correct |
31 |
Correct |
51 ms |
7560 KB |
Output is correct |
32 |
Correct |
52 ms |
7504 KB |
Output is correct |
33 |
Correct |
52 ms |
7520 KB |
Output is correct |
34 |
Correct |
53 ms |
7544 KB |
Output is correct |
35 |
Correct |
79 ms |
7548 KB |
Output is correct |
36 |
Correct |
64 ms |
7516 KB |
Output is correct |
37 |
Correct |
51 ms |
7556 KB |
Output is correct |
38 |
Correct |
65 ms |
7556 KB |
Output is correct |
39 |
Correct |
66 ms |
7540 KB |
Output is correct |
40 |
Correct |
52 ms |
7540 KB |
Output is correct |
41 |
Correct |
51 ms |
7492 KB |
Output is correct |
42 |
Correct |
56 ms |
7632 KB |
Output is correct |
43 |
Correct |
70 ms |
7512 KB |
Output is correct |
44 |
Correct |
69 ms |
7604 KB |
Output is correct |
45 |
Correct |
67 ms |
7408 KB |
Output is correct |
46 |
Correct |
71 ms |
7520 KB |
Output is correct |
47 |
Correct |
73 ms |
7424 KB |
Output is correct |
48 |
Correct |
73 ms |
7404 KB |
Output is correct |
49 |
Correct |
88 ms |
7400 KB |
Output is correct |
50 |
Correct |
71 ms |
7444 KB |
Output is correct |
51 |
Correct |
72 ms |
7416 KB |
Output is correct |
52 |
Correct |
80 ms |
7516 KB |
Output is correct |
53 |
Correct |
69 ms |
7552 KB |
Output is correct |
54 |
Correct |
72 ms |
7616 KB |
Output is correct |
55 |
Correct |
69 ms |
7396 KB |
Output is correct |
56 |
Correct |
99 ms |
7600 KB |
Output is correct |
57 |
Correct |
73 ms |
7424 KB |
Output is correct |
58 |
Correct |
69 ms |
7412 KB |
Output is correct |
59 |
Correct |
68 ms |
7400 KB |
Output is correct |
60 |
Correct |
73 ms |
7424 KB |
Output is correct |
61 |
Correct |
70 ms |
7384 KB |
Output is correct |
62 |
Correct |
86 ms |
7412 KB |
Output is correct |
63 |
Correct |
83 ms |
7428 KB |
Output is correct |
64 |
Correct |
293 ms |
7400 KB |
Output is correct |
65 |
Correct |
291 ms |
7428 KB |
Output is correct |
66 |
Correct |
348 ms |
7392 KB |
Output is correct |
67 |
Correct |
304 ms |
7520 KB |
Output is correct |
68 |
Correct |
294 ms |
7516 KB |
Output is correct |
69 |
Correct |
303 ms |
7364 KB |
Output is correct |
70 |
Correct |
287 ms |
7400 KB |
Output is correct |
71 |
Correct |
302 ms |
7564 KB |
Output is correct |
72 |
Correct |
301 ms |
7364 KB |
Output is correct |
73 |
Correct |
307 ms |
7376 KB |
Output is correct |
74 |
Correct |
333 ms |
7384 KB |
Output is correct |
75 |
Correct |
319 ms |
7400 KB |
Output is correct |
76 |
Correct |
304 ms |
7404 KB |
Output is correct |
77 |
Correct |
306 ms |
7392 KB |
Output is correct |
78 |
Correct |
292 ms |
7372 KB |
Output is correct |
79 |
Correct |
295 ms |
7400 KB |
Output is correct |
80 |
Correct |
300 ms |
7348 KB |
Output is correct |
81 |
Correct |
294 ms |
7588 KB |
Output is correct |
82 |
Correct |
309 ms |
7384 KB |
Output is correct |
83 |
Correct |
288 ms |
7396 KB |
Output is correct |
84 |
Correct |
301 ms |
7368 KB |
Output is correct |