| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 821889 |
2023-08-11T19:57:34 Z |
NK_ |
Cubeword (CEOI19_cubeword) |
C++17 |
|
365 ms |
8712 KB |
#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;
}
| # |
Verdict |
Execution time |
Memory |
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 |
| # |
Verdict |
Execution time |
Memory |
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 |
| # |
Verdict |
Execution time |
Memory |
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 |
| # |
Verdict |
Execution time |
Memory |
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 |
