Submission #1095927

# Submission time Handle Problem Language Result Execution time Memory
1095927 2024-10-03T12:05:26 Z yoav_s Cubeword (CEOI19_cubeword) C++17
100 / 100
210 ms 17852 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef vector<ll> v;
typedef vector<v> vv;
typedef vector<vv> vvv;
typedef pair<ll, ll> p;
typedef vector<p> vp;
typedef vector<vp> vvp;
typedef vector<vvp> vvvp;
typedef pair<ll, p> tri;
typedef vector<tri> vtri;
typedef vector<vtri> vvtri;
typedef vector<vvtri> vvvtri;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef vector<vvb> vvvb;

#define f first
#define s second
#define pb push_back
#define eb emplace_back
#define all(v) (v).begin(),(v).end()

const ll INF = 1e18;
const ll mod = 998244353;

bool isPalindrome(string &str)
{
    for (ll i = 0; i < str.size() / 2; i++) if (str[i] != str[str.size() - i - 1]) return false;
    return true;
}

ll combinations(ll a, ll b, ll c, ll d)
{
    if (a == d) return 1;
    if (a == c || b == d) return 4;
    if (a == b && c == d) return 6;
    if (a == b || c == d || b == c) return 12;
    return 24;
}

int main()
{
    ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
    ll n;
    cin >> n;
    vector<string> words(n);
    for (ll i = 0; i < n; i++) cin >> words[i];
    vector<char> characters;
    for (ll i=  'a'; i <= 'z'; i++) characters.pb(i);
    for (ll i = 'A'; i <= 'Z'; i++) characters.pb(i);
    for (ll i = '0'; i <= '9'; i++) characters.pb(i);
    map<char, char> charShrink;
    for (ll i = 0; i < characters.size(); i++) charShrink[characters[i]] = i;
    for (ll i = 0; i < n; i++) for (ll j = 0; j < words[i].size(); j++) words[i][j] = charShrink[words[i][j]];
    vector<vector<string>> byLength(11);
    set<string> exists;
    for (ll i = 0; i < n; i++)
    {
        reverse(all(words[i]));
        if (exists.count(words[i]) > 0) continue;
        reverse(all(words[i]));
        byLength[words[i].size()].pb(words[i]);
        exists.insert(words[i]);
    }
    ll c = characters.size();
    ll res = 0;
    for (ll i = 3; i <= 10; i++)
    {
        vv amt(c, v(c, 0));
        for (ll j = 0; j < byLength[i].size(); j++)
        {
            amt[byLength[i][j][0]][byLength[i][j].back()]++;
            if (!isPalindrome(byLength[i][j])) amt[byLength[i][j].back()][byLength[i][j][0]]++;
        }
        vvv possibilities(c, vv(c, v(c)));
        for (ll i = 0; i < c; i++)
        {
            for (ll j = i; j < c; j++)
            {
                for (ll k = j; k < c; k++)
                {
                    for (ll l = 0; l < c; l++)
                    {
                        possibilities[i][j][k] += ((amt[i][l] * amt[j][l]) % mod) * amt[k][l];
                        possibilities[i][j][k] %= mod;
                    }
                }
            }
        }
        for (ll corner1 = 0; corner1 < c; corner1++)
        {
            for (ll corner2 = corner1; corner2 < c; corner2++)
            {
                for (ll corner3 = corner2; corner3 < c; corner3++)
                {
                    for (ll corner4 = corner3; corner4 < c; corner4++)
                    {
                        ll cur = possibilities[corner1][corner2][corner3];
                        cur = (cur * possibilities[corner1][corner2][corner4]) % mod;
                        cur = (cur * possibilities[corner1][corner3][corner4]) % mod;
                        cur = (cur * possibilities[corner2][corner3][corner4]) % mod;
                        res = (res + cur * combinations(corner1,corner2,corner3,corner4)) % mod;
                    }
                }
            }
        }
    }
    cout << res << "\n";
    return 0;
}

Compilation message

cubeword.cpp: In function 'bool isPalindrome(std::string&)':
cubeword.cpp:32:22: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   32 |     for (ll i = 0; i < str.size() / 2; i++) if (str[i] != str[str.size() - i - 1]) return false;
      |                    ~~^~~~~~~~~~~~~~~~
cubeword.cpp: In function 'int main()':
cubeword.cpp:57:22: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   57 |     for (ll i = 0; i < characters.size(); i++) charShrink[characters[i]] = i;
      |                    ~~^~~~~~~~~~~~~~~~~~~
cubeword.cpp:58:49: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   58 |     for (ll i = 0; i < n; i++) for (ll j = 0; j < words[i].size(); j++) words[i][j] = charShrink[words[i][j]];
      |                                               ~~^~~~~~~~~~~~~~~~~
cubeword.cpp:74:26: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::__cxx11::basic_string<char> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   74 |         for (ll j = 0; j < byLength[i].size(); j++)
      |                        ~~^~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 192 ms 15848 KB Output is correct
2 Correct 183 ms 15860 KB Output is correct
3 Correct 183 ms 15864 KB Output is correct
4 Correct 181 ms 15824 KB Output is correct
5 Correct 183 ms 15844 KB Output is correct
6 Correct 177 ms 15872 KB Output is correct
7 Correct 179 ms 15848 KB Output is correct
8 Correct 179 ms 15876 KB Output is correct
9 Correct 178 ms 15840 KB Output is correct
10 Correct 177 ms 15868 KB Output is correct
11 Correct 180 ms 15864 KB Output is correct
12 Correct 177 ms 15844 KB Output is correct
13 Correct 180 ms 15812 KB Output is correct
14 Correct 182 ms 15864 KB Output is correct
15 Correct 199 ms 15860 KB Output is correct
16 Correct 187 ms 15840 KB Output is correct
17 Correct 186 ms 15868 KB Output is correct
18 Correct 186 ms 15840 KB Output is correct
19 Correct 188 ms 15840 KB Output is correct
20 Correct 177 ms 15840 KB Output is correct
21 Correct 188 ms 15844 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 192 ms 15848 KB Output is correct
2 Correct 183 ms 15860 KB Output is correct
3 Correct 183 ms 15864 KB Output is correct
4 Correct 181 ms 15824 KB Output is correct
5 Correct 183 ms 15844 KB Output is correct
6 Correct 177 ms 15872 KB Output is correct
7 Correct 179 ms 15848 KB Output is correct
8 Correct 179 ms 15876 KB Output is correct
9 Correct 178 ms 15840 KB Output is correct
10 Correct 177 ms 15868 KB Output is correct
11 Correct 180 ms 15864 KB Output is correct
12 Correct 177 ms 15844 KB Output is correct
13 Correct 180 ms 15812 KB Output is correct
14 Correct 182 ms 15864 KB Output is correct
15 Correct 199 ms 15860 KB Output is correct
16 Correct 187 ms 15840 KB Output is correct
17 Correct 186 ms 15868 KB Output is correct
18 Correct 186 ms 15840 KB Output is correct
19 Correct 188 ms 15840 KB Output is correct
20 Correct 177 ms 15840 KB Output is correct
21 Correct 188 ms 15844 KB Output is correct
22 Correct 187 ms 16336 KB Output is correct
23 Correct 207 ms 16296 KB Output is correct
24 Correct 189 ms 16276 KB Output is correct
25 Correct 181 ms 16288 KB Output is correct
26 Correct 182 ms 16312 KB Output is correct
27 Correct 182 ms 16292 KB Output is correct
28 Correct 181 ms 16324 KB Output is correct
29 Correct 185 ms 16320 KB Output is correct
30 Correct 182 ms 16288 KB Output is correct
31 Correct 185 ms 16308 KB Output is correct
32 Correct 180 ms 16284 KB Output is correct
33 Correct 181 ms 16316 KB Output is correct
34 Correct 182 ms 16324 KB Output is correct
35 Correct 181 ms 16324 KB Output is correct
36 Correct 185 ms 16324 KB Output is correct
37 Correct 196 ms 16312 KB Output is correct
38 Correct 184 ms 16296 KB Output is correct
39 Correct 185 ms 16316 KB Output is correct
40 Correct 188 ms 16316 KB Output is correct
41 Correct 196 ms 16300 KB Output is correct
42 Correct 185 ms 16324 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 192 ms 15848 KB Output is correct
2 Correct 183 ms 15860 KB Output is correct
3 Correct 183 ms 15864 KB Output is correct
4 Correct 181 ms 15824 KB Output is correct
5 Correct 183 ms 15844 KB Output is correct
6 Correct 177 ms 15872 KB Output is correct
7 Correct 179 ms 15848 KB Output is correct
8 Correct 179 ms 15876 KB Output is correct
9 Correct 178 ms 15840 KB Output is correct
10 Correct 177 ms 15868 KB Output is correct
11 Correct 180 ms 15864 KB Output is correct
12 Correct 177 ms 15844 KB Output is correct
13 Correct 180 ms 15812 KB Output is correct
14 Correct 182 ms 15864 KB Output is correct
15 Correct 199 ms 15860 KB Output is correct
16 Correct 187 ms 15840 KB Output is correct
17 Correct 186 ms 15868 KB Output is correct
18 Correct 186 ms 15840 KB Output is correct
19 Correct 188 ms 15840 KB Output is correct
20 Correct 177 ms 15840 KB Output is correct
21 Correct 188 ms 15844 KB Output is correct
22 Correct 187 ms 16336 KB Output is correct
23 Correct 207 ms 16296 KB Output is correct
24 Correct 189 ms 16276 KB Output is correct
25 Correct 181 ms 16288 KB Output is correct
26 Correct 182 ms 16312 KB Output is correct
27 Correct 182 ms 16292 KB Output is correct
28 Correct 181 ms 16324 KB Output is correct
29 Correct 185 ms 16320 KB Output is correct
30 Correct 182 ms 16288 KB Output is correct
31 Correct 185 ms 16308 KB Output is correct
32 Correct 180 ms 16284 KB Output is correct
33 Correct 181 ms 16316 KB Output is correct
34 Correct 182 ms 16324 KB Output is correct
35 Correct 181 ms 16324 KB Output is correct
36 Correct 185 ms 16324 KB Output is correct
37 Correct 196 ms 16312 KB Output is correct
38 Correct 184 ms 16296 KB Output is correct
39 Correct 185 ms 16316 KB Output is correct
40 Correct 188 ms 16316 KB Output is correct
41 Correct 196 ms 16300 KB Output is correct
42 Correct 185 ms 16324 KB Output is correct
43 Correct 185 ms 16444 KB Output is correct
44 Correct 190 ms 16452 KB Output is correct
45 Correct 187 ms 16448 KB Output is correct
46 Correct 186 ms 16440 KB Output is correct
47 Correct 189 ms 16440 KB Output is correct
48 Correct 192 ms 16472 KB Output is correct
49 Correct 186 ms 16456 KB Output is correct
50 Correct 203 ms 16592 KB Output is correct
51 Correct 181 ms 16456 KB Output is correct
52 Correct 180 ms 16432 KB Output is correct
53 Correct 181 ms 16472 KB Output is correct
54 Correct 182 ms 16508 KB Output is correct
55 Correct 182 ms 16444 KB Output is correct
56 Correct 180 ms 16452 KB Output is correct
57 Correct 188 ms 16424 KB Output is correct
58 Correct 195 ms 16452 KB Output is correct
59 Correct 184 ms 16516 KB Output is correct
60 Correct 189 ms 16448 KB Output is correct
61 Correct 181 ms 16464 KB Output is correct
62 Correct 180 ms 16432 KB Output is correct
63 Correct 182 ms 16476 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 192 ms 15848 KB Output is correct
2 Correct 183 ms 15860 KB Output is correct
3 Correct 183 ms 15864 KB Output is correct
4 Correct 181 ms 15824 KB Output is correct
5 Correct 183 ms 15844 KB Output is correct
6 Correct 177 ms 15872 KB Output is correct
7 Correct 179 ms 15848 KB Output is correct
8 Correct 179 ms 15876 KB Output is correct
9 Correct 178 ms 15840 KB Output is correct
10 Correct 177 ms 15868 KB Output is correct
11 Correct 180 ms 15864 KB Output is correct
12 Correct 177 ms 15844 KB Output is correct
13 Correct 180 ms 15812 KB Output is correct
14 Correct 182 ms 15864 KB Output is correct
15 Correct 199 ms 15860 KB Output is correct
16 Correct 187 ms 15840 KB Output is correct
17 Correct 186 ms 15868 KB Output is correct
18 Correct 186 ms 15840 KB Output is correct
19 Correct 188 ms 15840 KB Output is correct
20 Correct 177 ms 15840 KB Output is correct
21 Correct 188 ms 15844 KB Output is correct
22 Correct 187 ms 16336 KB Output is correct
23 Correct 207 ms 16296 KB Output is correct
24 Correct 189 ms 16276 KB Output is correct
25 Correct 181 ms 16288 KB Output is correct
26 Correct 182 ms 16312 KB Output is correct
27 Correct 182 ms 16292 KB Output is correct
28 Correct 181 ms 16324 KB Output is correct
29 Correct 185 ms 16320 KB Output is correct
30 Correct 182 ms 16288 KB Output is correct
31 Correct 185 ms 16308 KB Output is correct
32 Correct 180 ms 16284 KB Output is correct
33 Correct 181 ms 16316 KB Output is correct
34 Correct 182 ms 16324 KB Output is correct
35 Correct 181 ms 16324 KB Output is correct
36 Correct 185 ms 16324 KB Output is correct
37 Correct 196 ms 16312 KB Output is correct
38 Correct 184 ms 16296 KB Output is correct
39 Correct 185 ms 16316 KB Output is correct
40 Correct 188 ms 16316 KB Output is correct
41 Correct 196 ms 16300 KB Output is correct
42 Correct 185 ms 16324 KB Output is correct
43 Correct 185 ms 16444 KB Output is correct
44 Correct 190 ms 16452 KB Output is correct
45 Correct 187 ms 16448 KB Output is correct
46 Correct 186 ms 16440 KB Output is correct
47 Correct 189 ms 16440 KB Output is correct
48 Correct 192 ms 16472 KB Output is correct
49 Correct 186 ms 16456 KB Output is correct
50 Correct 203 ms 16592 KB Output is correct
51 Correct 181 ms 16456 KB Output is correct
52 Correct 180 ms 16432 KB Output is correct
53 Correct 181 ms 16472 KB Output is correct
54 Correct 182 ms 16508 KB Output is correct
55 Correct 182 ms 16444 KB Output is correct
56 Correct 180 ms 16452 KB Output is correct
57 Correct 188 ms 16424 KB Output is correct
58 Correct 195 ms 16452 KB Output is correct
59 Correct 184 ms 16516 KB Output is correct
60 Correct 189 ms 16448 KB Output is correct
61 Correct 181 ms 16464 KB Output is correct
62 Correct 180 ms 16432 KB Output is correct
63 Correct 182 ms 16476 KB Output is correct
64 Correct 183 ms 16592 KB Output is correct
65 Correct 191 ms 17352 KB Output is correct
66 Correct 192 ms 17332 KB Output is correct
67 Correct 191 ms 17852 KB Output is correct
68 Correct 204 ms 17332 KB Output is correct
69 Correct 194 ms 17344 KB Output is correct
70 Correct 189 ms 17440 KB Output is correct
71 Correct 188 ms 17344 KB Output is correct
72 Correct 187 ms 17340 KB Output is correct
73 Correct 195 ms 17344 KB Output is correct
74 Correct 192 ms 17372 KB Output is correct
75 Correct 191 ms 17344 KB Output is correct
76 Correct 192 ms 17344 KB Output is correct
77 Correct 188 ms 17348 KB Output is correct
78 Correct 187 ms 17340 KB Output is correct
79 Correct 195 ms 17504 KB Output is correct
80 Correct 184 ms 17372 KB Output is correct
81 Correct 184 ms 17524 KB Output is correct
82 Correct 210 ms 17536 KB Output is correct
83 Correct 198 ms 17368 KB Output is correct
84 Correct 181 ms 17348 KB Output is correct