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Submission #519048

# Submission time Handle Problem Language Result Execution time Memory
519048 2022-01-25T13:18:49 Z Monarchuwu Cubeword (CEOI19_cubeword) C++17
100 / 100
 284 ms 38504 KB 
#include<iostream>
#include<algorithm>
#include<string>
#include<vector>
#include<unordered_set>
#define all(x) x.begin(), x.end()
using namespace std;
typedef long long ll;

const int N = 1e5 + 9, mod = 998244353;
int n;
int a[11][62][62][2];

bool palind(string s) {
    int l(0), r(s.size() - 1);
    while (l < r) {
        if (s[l] != s[r]) return false;
        ++l, --r;
    }
    return true;
}

int num(char c) {
    if ('a' <= c && c <= 'z') return c - 'a';
    if ('A' <= c && c <= 'Z') return c - 'A' + 26;
    if ('0' <= c && c <= '9') return c - '0' + 52;
    return -1;
}

ll calc(int len, int i, int j) {
    if (i != j) {
        if (i > j) swap(i, j);
        return a[len][i][j][0];
    }
    return (a[len][i][j][1] + a[len][i][j][0] * 2) % mod;
}

ll perm[62][62][62][62], d[62][62][62];
void build_d(int len) {
    for (int i1 = 0; i1 < n; ++i1)
        for (int i2 = i1; i2 < n; ++i2)
            for (int i3 = i2; i3 < n; ++i3) {
                d[i1][i2][i3] = 0;
                for (int i = 0; i < n; ++i)
                    (d[i1][i2][i3] += calc(len, i, i1) * calc(len, i, i2) % mod * calc(len, i, i3)) %= mod;
            }
}

int main() {
    cin.tie(NULL)->sync_with_stdio(false);
    cin >> n;

    unordered_set<string> S;
    vector<int> ch;
    for (int ii = 0; ii < n; ++ii) {
        string s; cin >> s;
        if (S.count(s)) continue;

        int i = num(s[0]), j = num(s.back());
        if (i > j) swap(i, j);
        ch.push_back(i);
        ch.push_back(j);

        ++a[s.size()][i][j][palind(s)];
        reverse(all(s));
        S.insert(s);
    }
    sort(all(ch));
    ch.resize(unique(all(ch)) - ch.begin());
    n = ch.size();

    for (int len = 3; len <= 10; ++len)
        for (int i = 0; i < n; ++i)
            for (int j = i; j < n; ++j) {
                int i1 = ch[i], i2 = ch[j];
                a[len][i][j][0] = a[len][i1][i2][0];
                a[len][i][j][1] = a[len][i1][i2][1];
            }

    for (int i1 = 0; i1 < n; ++i1)
        for (int i2 = i1; i2 < n; ++i2)
            for (int i3 = i2; i3 < n; ++i3)
                for (int i4 = i3; i4 < n; ++i4) {
                    perm[i1][i2][i3][i4] = i1 == i4 ? 1 : i1 == i3 || i2 == i4 ? 4 : i1 == i2 && i3 == i4 ? 6 : i1 == i2 || i2 == i3 || i3 == i4 ? 12 : 24;
                }

    ll ans(0);
    for (int len = 3; len <= 10; ++len) {
        build_d(len);
        for (int i1 = 0; i1 < n; ++i1)
            for (int i2 = i1; i2 < n; ++i2)
                for (int i3 = i2; i3 < n; ++i3)
                    for (int i4 = i3; i4 < n; ++i4)
                        (ans += d[i1][i2][i3] * d[i1][i2][i4] % mod * d[i1][i3][i4] % mod * d[i2][i3][i4] % mod * perm[i1][i2][i3][i4]) %= mod;
    }
    cout << ans << '\n';
}
/**  /\_/\
 *  (= ._.)
 *  / >0  \>1
**/

Subtask #1
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 8404 KB Output is correct
2 Correct 42 ms 8388 KB Output is correct
3 Correct 44 ms 8388 KB Output is correct
4 Correct 52 ms 8380 KB Output is correct
5 Correct 51 ms 8396 KB Output is correct
6 Correct 49 ms 8356 KB Output is correct
7 Correct 44 ms 8444 KB Output is correct
8 Correct 44 ms 8360 KB Output is correct
9 Correct 44 ms 8392 KB Output is correct
10 Correct 44 ms 8404 KB Output is correct
11 Correct 59 ms 8332 KB Output is correct
12 Correct 49 ms 8380 KB Output is correct
13 Correct 43 ms 8396 KB Output is correct
14 Correct 43 ms 8332 KB Output is correct
15 Correct 44 ms 8396 KB Output is correct
16 Correct 57 ms 8408 KB Output is correct
17 Correct 51 ms 8404 KB Output is correct
18 Correct 44 ms 8404 KB Output is correct
19 Correct 52 ms 8612 KB Output is correct
20 Correct 47 ms 8396 KB Output is correct
21 Correct 43 ms 8368 KB Output is correct

Subtask #2
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 8404 KB Output is correct
2 Correct 42 ms 8388 KB Output is correct
3 Correct 44 ms 8388 KB Output is correct
4 Correct 52 ms 8380 KB Output is correct
5 Correct 51 ms 8396 KB Output is correct
6 Correct 49 ms 8356 KB Output is correct
7 Correct 44 ms 8444 KB Output is correct
8 Correct 44 ms 8360 KB Output is correct
9 Correct 44 ms 8392 KB Output is correct
10 Correct 44 ms 8404 KB Output is correct
11 Correct 59 ms 8332 KB Output is correct
12 Correct 49 ms 8380 KB Output is correct
13 Correct 43 ms 8396 KB Output is correct
14 Correct 43 ms 8332 KB Output is correct
15 Correct 44 ms 8396 KB Output is correct
16 Correct 57 ms 8408 KB Output is correct
17 Correct 51 ms 8404 KB Output is correct
18 Correct 44 ms 8404 KB Output is correct
19 Correct 52 ms 8612 KB Output is correct
20 Correct 47 ms 8396 KB Output is correct
21 Correct 43 ms 8368 KB Output is correct
22 Correct 69 ms 9648 KB Output is correct
23 Correct 53 ms 9624 KB Output is correct
24 Correct 46 ms 9608 KB Output is correct
25 Correct 46 ms 9648 KB Output is correct
26 Correct 48 ms 9576 KB Output is correct
27 Correct 49 ms 9596 KB Output is correct
28 Correct 53 ms 9648 KB Output is correct
29 Correct 47 ms 9676 KB Output is correct
30 Correct 49 ms 9580 KB Output is correct
31 Correct 47 ms 9580 KB Output is correct
32 Correct 45 ms 9660 KB Output is correct
33 Correct 52 ms 9648 KB Output is correct
34 Correct 60 ms 9568 KB Output is correct
35 Correct 45 ms 9596 KB Output is correct
36 Correct 58 ms 9680 KB Output is correct
37 Correct 47 ms 9624 KB Output is correct
38 Correct 53 ms 9624 KB Output is correct
39 Correct 67 ms 9692 KB Output is correct
40 Correct 58 ms 9564 KB Output is correct
41 Correct 50 ms 9604 KB Output is correct
42 Correct 46 ms 9676 KB Output is correct

Subtask #3
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 8404 KB Output is correct
2 Correct 42 ms 8388 KB Output is correct
3 Correct 44 ms 8388 KB Output is correct
4 Correct 52 ms 8380 KB Output is correct
5 Correct 51 ms 8396 KB Output is correct
6 Correct 49 ms 8356 KB Output is correct
7 Correct 44 ms 8444 KB Output is correct
8 Correct 44 ms 8360 KB Output is correct
9 Correct 44 ms 8392 KB Output is correct
10 Correct 44 ms 8404 KB Output is correct
11 Correct 59 ms 8332 KB Output is correct
12 Correct 49 ms 8380 KB Output is correct
13 Correct 43 ms 8396 KB Output is correct
14 Correct 43 ms 8332 KB Output is correct
15 Correct 44 ms 8396 KB Output is correct
16 Correct 57 ms 8408 KB Output is correct
17 Correct 51 ms 8404 KB Output is correct
18 Correct 44 ms 8404 KB Output is correct
19 Correct 52 ms 8612 KB Output is correct
20 Correct 47 ms 8396 KB Output is correct
21 Correct 43 ms 8368 KB Output is correct
22 Correct 69 ms 9648 KB Output is correct
23 Correct 53 ms 9624 KB Output is correct
24 Correct 46 ms 9608 KB Output is correct
25 Correct 46 ms 9648 KB Output is correct
26 Correct 48 ms 9576 KB Output is correct
27 Correct 49 ms 9596 KB Output is correct
28 Correct 53 ms 9648 KB Output is correct
29 Correct 47 ms 9676 KB Output is correct
30 Correct 49 ms 9580 KB Output is correct
31 Correct 47 ms 9580 KB Output is correct
32 Correct 45 ms 9660 KB Output is correct
33 Correct 52 ms 9648 KB Output is correct
34 Correct 60 ms 9568 KB Output is correct
35 Correct 45 ms 9596 KB Output is correct
36 Correct 58 ms 9680 KB Output is correct
37 Correct 47 ms 9624 KB Output is correct
38 Correct 53 ms 9624 KB Output is correct
39 Correct 67 ms 9692 KB Output is correct
40 Correct 58 ms 9564 KB Output is correct
41 Correct 50 ms 9604 KB Output is correct
42 Correct 46 ms 9676 KB Output is correct
43 Correct 67 ms 14152 KB Output is correct
44 Correct 70 ms 14188 KB Output is correct
45 Correct 66 ms 14144 KB Output is correct
46 Correct 62 ms 14124 KB Output is correct
47 Correct 64 ms 14196 KB Output is correct
48 Correct 69 ms 14128 KB Output is correct
49 Correct 62 ms 14076 KB Output is correct
50 Correct 67 ms 14192 KB Output is correct
51 Correct 67 ms 14184 KB Output is correct
52 Correct 72 ms 14096 KB Output is correct
53 Correct 75 ms 14188 KB Output is correct
54 Correct 63 ms 14124 KB Output is correct
55 Correct 66 ms 14160 KB Output is correct
56 Correct 62 ms 14104 KB Output is correct
57 Correct 62 ms 14136 KB Output is correct
58 Correct 71 ms 14120 KB Output is correct
59 Correct 65 ms 14156 KB Output is correct
60 Correct 63 ms 14136 KB Output is correct
61 Correct 66 ms 14184 KB Output is correct
62 Correct 70 ms 14116 KB Output is correct
63 Correct 68 ms 14112 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 8404 KB Output is correct
2 Correct 42 ms 8388 KB Output is correct
3 Correct 44 ms 8388 KB Output is correct
4 Correct 52 ms 8380 KB Output is correct
5 Correct 51 ms 8396 KB Output is correct
6 Correct 49 ms 8356 KB Output is correct
7 Correct 44 ms 8444 KB Output is correct
8 Correct 44 ms 8360 KB Output is correct
9 Correct 44 ms 8392 KB Output is correct
10 Correct 44 ms 8404 KB Output is correct
11 Correct 59 ms 8332 KB Output is correct
12 Correct 49 ms 8380 KB Output is correct
13 Correct 43 ms 8396 KB Output is correct
14 Correct 43 ms 8332 KB Output is correct
15 Correct 44 ms 8396 KB Output is correct
16 Correct 57 ms 8408 KB Output is correct
17 Correct 51 ms 8404 KB Output is correct
18 Correct 44 ms 8404 KB Output is correct
19 Correct 52 ms 8612 KB Output is correct
20 Correct 47 ms 8396 KB Output is correct
21 Correct 43 ms 8368 KB Output is correct
22 Correct 69 ms 9648 KB Output is correct
23 Correct 53 ms 9624 KB Output is correct
24 Correct 46 ms 9608 KB Output is correct
25 Correct 46 ms 9648 KB Output is correct
26 Correct 48 ms 9576 KB Output is correct
27 Correct 49 ms 9596 KB Output is correct
28 Correct 53 ms 9648 KB Output is correct
29 Correct 47 ms 9676 KB Output is correct
30 Correct 49 ms 9580 KB Output is correct
31 Correct 47 ms 9580 KB Output is correct
32 Correct 45 ms 9660 KB Output is correct
33 Correct 52 ms 9648 KB Output is correct
34 Correct 60 ms 9568 KB Output is correct
35 Correct 45 ms 9596 KB Output is correct
36 Correct 58 ms 9680 KB Output is correct
37 Correct 47 ms 9624 KB Output is correct
38 Correct 53 ms 9624 KB Output is correct
39 Correct 67 ms 9692 KB Output is correct
40 Correct 58 ms 9564 KB Output is correct
41 Correct 50 ms 9604 KB Output is correct
42 Correct 46 ms 9676 KB Output is correct
43 Correct 67 ms 14152 KB Output is correct
44 Correct 70 ms 14188 KB Output is correct
45 Correct 66 ms 14144 KB Output is correct
46 Correct 62 ms 14124 KB Output is correct
47 Correct 64 ms 14196 KB Output is correct
48 Correct 69 ms 14128 KB Output is correct
49 Correct 62 ms 14076 KB Output is correct
50 Correct 67 ms 14192 KB Output is correct
51 Correct 67 ms 14184 KB Output is correct
52 Correct 72 ms 14096 KB Output is correct
53 Correct 75 ms 14188 KB Output is correct
54 Correct 63 ms 14124 KB Output is correct
55 Correct 66 ms 14160 KB Output is correct
56 Correct 62 ms 14104 KB Output is correct
57 Correct 62 ms 14136 KB Output is correct
58 Correct 71 ms 14120 KB Output is correct
59 Correct 65 ms 14156 KB Output is correct
60 Correct 63 ms 14136 KB Output is correct
61 Correct 66 ms 14184 KB Output is correct
62 Correct 70 ms 14116 KB Output is correct
63 Correct 68 ms 14112 KB Output is correct
64 Correct 242 ms 37640 KB Output is correct
65 Correct 284 ms 38384 KB Output is correct
66 Correct 241 ms 38376 KB Output is correct
67 Correct 280 ms 38384 KB Output is correct
68 Correct 240 ms 38312 KB Output is correct
69 Correct 242 ms 38276 KB Output is correct
70 Correct 245 ms 38396 KB Output is correct
71 Correct 255 ms 38380 KB Output is correct
72 Correct 233 ms 38444 KB Output is correct
73 Correct 244 ms 38316 KB Output is correct
74 Correct 234 ms 38380 KB Output is correct
75 Correct 256 ms 38376 KB Output is correct
76 Correct 235 ms 38316 KB Output is correct
77 Correct 253 ms 38268 KB Output is correct
78 Correct 247 ms 38504 KB Output is correct
79 Correct 260 ms 38392 KB Output is correct
80 Correct 243 ms 38336 KB Output is correct
81 Correct 249 ms 38380 KB Output is correct
82 Correct 235 ms 38348 KB Output is correct
83 Correct 239 ms 38308 KB Output is correct
84 Correct 232 ms 38372 KB Output is correct