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Submission #787901

# Submission time Handle Problem Language Result Execution time Memory
787901 2023-07-19T14:11:24 Z tvladm2009 Cubeword (CEOI19_cubeword) C++17
100 / 100
 264 ms 19676 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N = (int) 1e5 + 7;
const int SIGMA = 62;
const int LEN = 11;
const int M = 998244353;
int cnt[SIGMA][SIGMA];
int dp[SIGMA][SIGMA][SIGMA];
vector<pair<int, int>> info[LEN];
int n, l;

int add(int a, int b) {
  a += b;
  if (a >= M) {
    return a - M;
  }
  if (a < 0) {
    return a + M;
  }
  return a;
}

void addup(int &a, int b) {
  a = add(a, b);
}

int mul(int a, int b) {
  return (ll) a * b % M;
}

int mul(int a, int b, int c) {
  return mul(a, mul(b, c));
}

int mul(int a, int b, int c, int d) {
  return mul(a, mul(b, c, d));
}

int decode(char ch) {
  if ('a' <= ch && ch <= 'z') {
    return ch - 'a';
  } else if ('A' <= ch && ch <= 'Z') {
    return 26 + ch - 'A';
  } else if ('0' <= ch && ch <= '9') {
    return 26 + 26 + ch - '0';
  }
  assert(0);
}

signed main() {
  ios::sync_with_stdio(0); cin.tie(0);

  /// freopen("input", "r", stdin);

  cin >> n;
  set<string> words;
  for (int i = 1; i <= n; i++) {
    string s;
    cin >> s;
    string revs = s;
    reverse(revs.begin(), revs.end());
    words.insert(s);
    words.insert(revs);
  }
  for (auto &it : words) {
    info[(int) it.size()].push_back({decode(it[0]), decode(it.back())});
  }

  int sol = 0;
  for (int len = 3; len <= 10; len++) {
    for (int i = 0; i < SIGMA; i++) {
      for (int j = 0; j < SIGMA; j++) {
        cnt[i][j] = 0;
      }
    }
    for (auto &it : info[len]) {
      cnt[it.first][it.second]++;
    }

    for (int a = 0; a < SIGMA; a++) {
      for (int b = 0; b < SIGMA; b++) {
        for (int c = 0; c < SIGMA; c++) {
          dp[a][b][c] = 0;
        }
      }
    }
    for (int a = 0; a < SIGMA; a++) {
      for (int b = a; b < SIGMA; b++) {
        for (int c = b; c < SIGMA; c++) {
          for (int d = 0; d < SIGMA; d++) {
            addup(dp[a][b][c], mul(cnt[d][a], cnt[d][b], cnt[d][c]));
          }
        }
      }
    }

    { /// 1 unique value
      for (int a = 0; a < SIGMA; a++) {
        addup(sol, mul(dp[a][a][a], dp[a][a][a], dp[a][a][a], dp[a][a][a]));
      }
    }

    { /// 2 unique values
      int aux = 0;
      for (int a = 0; a < SIGMA; a++) {
        for (int b = a + 1; b < SIGMA; b++) {
          addup(aux, mul(dp[a][a][b], dp[a][a][b], dp[a][b][b], dp[a][b][b]));
        }
      }
      addup(sol, mul(aux, 6));
      aux = 0;
      for (int a = 0; a < SIGMA; a++) {
        for (int b = a + 1; b < SIGMA; b++) {
          addup(aux, mul(dp[a][a][a], dp[a][a][b], dp[a][a][b], dp[a][a][b]));
          addup(aux, mul(dp[b][b][b], dp[a][b][b], dp[a][b][b], dp[a][b][b]));
        }
      }
      addup(sol, mul(aux, 4));
    }

    { /// 3 unique values
      int aux = 0;
      for (int a = 0; a < SIGMA; a++) {
        for (int b = a + 1; b < SIGMA; b++) {
          for (int c = b + 1; c < SIGMA; c++) {
            addup(aux, mul(dp[a][b][c], dp[a][b][c], dp[a][c][c], dp[b][c][c]));
            addup(aux, mul(dp[a][b][c], dp[a][b][c], dp[a][a][c], dp[a][a][b]));
            addup(aux, mul(dp[a][b][c], dp[a][b][c], dp[a][b][b], dp[b][b][c]));
          }
        }
      }
      addup(sol, mul(aux, 12));
    }

    { /// 4 unique values
      int aux = 0;
      for (int a = 0; a < SIGMA; a++) {
        for (int b = a + 1; b < SIGMA; b++) {
          for (int c = b + 1; c < SIGMA; c++) {
            for (int d = c + 1; d < SIGMA; d++) {
              addup(aux, mul(dp[a][b][c], dp[a][b][d], dp[a][c][d], dp[b][c][d]));
            }
          }
        }
      }
      addup(sol, mul(aux, 24));
    }
  }
  cout << sol << "\n";
  return 0;
}

Subtask #1
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 199 ms 18096 KB Output is correct
2 Correct 203 ms 18280 KB Output is correct
3 Correct 221 ms 18380 KB Output is correct
4 Correct 225 ms 18188 KB Output is correct
5 Correct 201 ms 18356 KB Output is correct
6 Correct 208 ms 18436 KB Output is correct
7 Correct 202 ms 18196 KB Output is correct
8 Correct 199 ms 18428 KB Output is correct
9 Correct 207 ms 18236 KB Output is correct
10 Correct 197 ms 18160 KB Output is correct
11 Correct 202 ms 18088 KB Output is correct
12 Correct 208 ms 18196 KB Output is correct
13 Correct 208 ms 18224 KB Output is correct
14 Correct 203 ms 18104 KB Output is correct
15 Correct 210 ms 18184 KB Output is correct
16 Correct 200 ms 18376 KB Output is correct
17 Correct 218 ms 18456 KB Output is correct
18 Correct 235 ms 18536 KB Output is correct
19 Correct 206 ms 18452 KB Output is correct
20 Correct 201 ms 18460 KB Output is correct
21 Correct 211 ms 18228 KB Output is correct

Subtask #2
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 199 ms 18096 KB Output is correct
2 Correct 203 ms 18280 KB Output is correct
3 Correct 221 ms 18380 KB Output is correct
4 Correct 225 ms 18188 KB Output is correct
5 Correct 201 ms 18356 KB Output is correct
6 Correct 208 ms 18436 KB Output is correct
7 Correct 202 ms 18196 KB Output is correct
8 Correct 199 ms 18428 KB Output is correct
9 Correct 207 ms 18236 KB Output is correct
10 Correct 197 ms 18160 KB Output is correct
11 Correct 202 ms 18088 KB Output is correct
12 Correct 208 ms 18196 KB Output is correct
13 Correct 208 ms 18224 KB Output is correct
14 Correct 203 ms 18104 KB Output is correct
15 Correct 210 ms 18184 KB Output is correct
16 Correct 200 ms 18376 KB Output is correct
17 Correct 218 ms 18456 KB Output is correct
18 Correct 235 ms 18536 KB Output is correct
19 Correct 206 ms 18452 KB Output is correct
20 Correct 201 ms 18460 KB Output is correct
21 Correct 211 ms 18228 KB Output is correct
22 Correct 203 ms 18876 KB Output is correct
23 Correct 210 ms 18996 KB Output is correct
24 Correct 201 ms 18996 KB Output is correct
25 Correct 218 ms 18792 KB Output is correct
26 Correct 209 ms 18776 KB Output is correct
27 Correct 200 ms 19084 KB Output is correct
28 Correct 207 ms 19096 KB Output is correct
29 Correct 205 ms 18984 KB Output is correct
30 Correct 202 ms 18784 KB Output is correct
31 Correct 215 ms 18984 KB Output is correct
32 Correct 231 ms 19064 KB Output is correct
33 Correct 209 ms 18960 KB Output is correct
34 Correct 200 ms 19016 KB Output is correct
35 Correct 234 ms 18788 KB Output is correct
36 Correct 203 ms 19224 KB Output is correct
37 Correct 209 ms 18984 KB Output is correct
38 Correct 209 ms 18956 KB Output is correct
39 Correct 203 ms 19008 KB Output is correct
40 Correct 198 ms 18832 KB Output is correct
41 Correct 202 ms 18980 KB Output is correct
42 Correct 205 ms 18752 KB Output is correct

Subtask #3
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 199 ms 18096 KB Output is correct
2 Correct 203 ms 18280 KB Output is correct
3 Correct 221 ms 18380 KB Output is correct
4 Correct 225 ms 18188 KB Output is correct
5 Correct 201 ms 18356 KB Output is correct
6 Correct 208 ms 18436 KB Output is correct
7 Correct 202 ms 18196 KB Output is correct
8 Correct 199 ms 18428 KB Output is correct
9 Correct 207 ms 18236 KB Output is correct
10 Correct 197 ms 18160 KB Output is correct
11 Correct 202 ms 18088 KB Output is correct
12 Correct 208 ms 18196 KB Output is correct
13 Correct 208 ms 18224 KB Output is correct
14 Correct 203 ms 18104 KB Output is correct
15 Correct 210 ms 18184 KB Output is correct
16 Correct 200 ms 18376 KB Output is correct
17 Correct 218 ms 18456 KB Output is correct
18 Correct 235 ms 18536 KB Output is correct
19 Correct 206 ms 18452 KB Output is correct
20 Correct 201 ms 18460 KB Output is correct
21 Correct 211 ms 18228 KB Output is correct
22 Correct 203 ms 18876 KB Output is correct
23 Correct 210 ms 18996 KB Output is correct
24 Correct 201 ms 18996 KB Output is correct
25 Correct 218 ms 18792 KB Output is correct
26 Correct 209 ms 18776 KB Output is correct
27 Correct 200 ms 19084 KB Output is correct
28 Correct 207 ms 19096 KB Output is correct
29 Correct 205 ms 18984 KB Output is correct
30 Correct 202 ms 18784 KB Output is correct
31 Correct 215 ms 18984 KB Output is correct
32 Correct 231 ms 19064 KB Output is correct
33 Correct 209 ms 18960 KB Output is correct
34 Correct 200 ms 19016 KB Output is correct
35 Correct 234 ms 18788 KB Output is correct
36 Correct 203 ms 19224 KB Output is correct
37 Correct 209 ms 18984 KB Output is correct
38 Correct 209 ms 18956 KB Output is correct
39 Correct 203 ms 19008 KB Output is correct
40 Correct 198 ms 18832 KB Output is correct
41 Correct 202 ms 18980 KB Output is correct
42 Correct 205 ms 18752 KB Output is correct
43 Correct 208 ms 19384 KB Output is correct
44 Correct 205 ms 19412 KB Output is correct
45 Correct 198 ms 19032 KB Output is correct
46 Correct 201 ms 18948 KB Output is correct
47 Correct 219 ms 19052 KB Output is correct
48 Correct 220 ms 19076 KB Output is correct
49 Correct 204 ms 19196 KB Output is correct
50 Correct 217 ms 19060 KB Output is correct
51 Correct 218 ms 19024 KB Output is correct
52 Correct 200 ms 19016 KB Output is correct
53 Correct 213 ms 19284 KB Output is correct
54 Correct 210 ms 18996 KB Output is correct
55 Correct 207 ms 19248 KB Output is correct
56 Correct 226 ms 19116 KB Output is correct
57 Correct 240 ms 18960 KB Output is correct
58 Correct 209 ms 18948 KB Output is correct
59 Correct 210 ms 19204 KB Output is correct
60 Correct 226 ms 19036 KB Output is correct
61 Correct 203 ms 19108 KB Output is correct
62 Correct 234 ms 19100 KB Output is correct
63 Correct 253 ms 19100 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 199 ms 18096 KB Output is correct
2 Correct 203 ms 18280 KB Output is correct
3 Correct 221 ms 18380 KB Output is correct
4 Correct 225 ms 18188 KB Output is correct
5 Correct 201 ms 18356 KB Output is correct
6 Correct 208 ms 18436 KB Output is correct
7 Correct 202 ms 18196 KB Output is correct
8 Correct 199 ms 18428 KB Output is correct
9 Correct 207 ms 18236 KB Output is correct
10 Correct 197 ms 18160 KB Output is correct
11 Correct 202 ms 18088 KB Output is correct
12 Correct 208 ms 18196 KB Output is correct
13 Correct 208 ms 18224 KB Output is correct
14 Correct 203 ms 18104 KB Output is correct
15 Correct 210 ms 18184 KB Output is correct
16 Correct 200 ms 18376 KB Output is correct
17 Correct 218 ms 18456 KB Output is correct
18 Correct 235 ms 18536 KB Output is correct
19 Correct 206 ms 18452 KB Output is correct
20 Correct 201 ms 18460 KB Output is correct
21 Correct 211 ms 18228 KB Output is correct
22 Correct 203 ms 18876 KB Output is correct
23 Correct 210 ms 18996 KB Output is correct
24 Correct 201 ms 18996 KB Output is correct
25 Correct 218 ms 18792 KB Output is correct
26 Correct 209 ms 18776 KB Output is correct
27 Correct 200 ms 19084 KB Output is correct
28 Correct 207 ms 19096 KB Output is correct
29 Correct 205 ms 18984 KB Output is correct
30 Correct 202 ms 18784 KB Output is correct
31 Correct 215 ms 18984 KB Output is correct
32 Correct 231 ms 19064 KB Output is correct
33 Correct 209 ms 18960 KB Output is correct
34 Correct 200 ms 19016 KB Output is correct
35 Correct 234 ms 18788 KB Output is correct
36 Correct 203 ms 19224 KB Output is correct
37 Correct 209 ms 18984 KB Output is correct
38 Correct 209 ms 18956 KB Output is correct
39 Correct 203 ms 19008 KB Output is correct
40 Correct 198 ms 18832 KB Output is correct
41 Correct 202 ms 18980 KB Output is correct
42 Correct 205 ms 18752 KB Output is correct
43 Correct 208 ms 19384 KB Output is correct
44 Correct 205 ms 19412 KB Output is correct
45 Correct 198 ms 19032 KB Output is correct
46 Correct 201 ms 18948 KB Output is correct
47 Correct 219 ms 19052 KB Output is correct
48 Correct 220 ms 19076 KB Output is correct
49 Correct 204 ms 19196 KB Output is correct
50 Correct 217 ms 19060 KB Output is correct
51 Correct 218 ms 19024 KB Output is correct
52 Correct 200 ms 19016 KB Output is correct
53 Correct 213 ms 19284 KB Output is correct
54 Correct 210 ms 18996 KB Output is correct
55 Correct 207 ms 19248 KB Output is correct
56 Correct 226 ms 19116 KB Output is correct
57 Correct 240 ms 18960 KB Output is correct
58 Correct 209 ms 18948 KB Output is correct
59 Correct 210 ms 19204 KB Output is correct
60 Correct 226 ms 19036 KB Output is correct
61 Correct 203 ms 19108 KB Output is correct
62 Correct 234 ms 19100 KB Output is correct
63 Correct 253 ms 19100 KB Output is correct
64 Correct 231 ms 19220 KB Output is correct
65 Correct 243 ms 19336 KB Output is correct
66 Correct 237 ms 19560 KB Output is correct
67 Correct 264 ms 19292 KB Output is correct
68 Correct 223 ms 19312 KB Output is correct
69 Correct 235 ms 19252 KB Output is correct
70 Correct 244 ms 19312 KB Output is correct
71 Correct 231 ms 19492 KB Output is correct
72 Correct 234 ms 19248 KB Output is correct
73 Correct 234 ms 19368 KB Output is correct
74 Correct 240 ms 19544 KB Output is correct
75 Correct 256 ms 19244 KB Output is correct
76 Correct 236 ms 19676 KB Output is correct
77 Correct 228 ms 19356 KB Output is correct
78 Correct 231 ms 19304 KB Output is correct
79 Correct 258 ms 19364 KB Output is correct
80 Correct 242 ms 19564 KB Output is correct
81 Correct 230 ms 19200 KB Output is correct
82 Correct 244 ms 19372 KB Output is correct
83 Correct 237 ms 19500 KB Output is correct
84 Correct 234 ms 19184 KB Output is correct