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Submission #786467

# Submission time Handle Problem Language Result Execution time Memory
786467 2023-07-18T08:08:58 Z blue Cubeword (CEOI19_cubeword) C++17
100 / 100
 287 ms 19488 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using vll = vector<ll>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using pii = pair<int, int>;
#define sz(x) int(x.size())

const ll mod = 998'244'353LL;

const int Z = 62;

int ad(ll a, ll b)
{
	return (a + b) % mod;
}

void selfadd(int& a, ll b)
{
	a = ad(a, b);
}

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

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

	// if('a' <= c && c <= 'z')
	// 	return c - 'a';
	// else
	// 	return 16 + c - 'A';
}


int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);

	int n;
	cin >> n;

	set<string> words;

	for(int i = 1; i <= n; i++)
	{
		string s;
		cin >> s;

		words.insert(s);

		reverse(s.begin(), s.end());

		words.insert(s);
	}

	vector<pii> wl[11];

	for(string w : words)
	{
		wl[sz(w)].push_back({getnum(w[0]), getnum(w.back())});
	}


// cerr << "done\n";

	int res = 0;

	for(int l = 3; l <= 10; l++)
	{
		int cr;
		// cerr << "l = " << l << '\n';
		vvi ct(Z, vi(Z, 0));

		for(pii z : wl[l])
		{
			ct[z.first][z.second]++;
		}

		vvvi ct3(Z, vvi(Z, vi(Z, 0)));

		for(int a = 0; a < Z; a++)
		{
			for(int b = a; b < Z; b++)
			{
				for(int c = b; c < Z; c++)
				{
					for(int x = 0; x < Z; x++)
					{
						selfadd(ct3[a][b][c], mul(ct[x][a], mul(ct[x][b], ct[x][c])));
					}
				}
			}
		}

		//1 unique value
		for(int a = 0; a < Z; a++)
			selfadd(res, mul(ct3[a][a][a], mul(ct3[a][a][a], mul(ct3[a][a][a], ct3[a][a][a]))));




		//2 unique values, 2 + 2

		cr = 0;
		for(int a = 0; a < Z; a++)
		{
			for(int b = a+1; b < Z; b++)
			{
				selfadd(cr, mul(ct3[a][a][b], mul(ct3[a][a][b], mul(ct3[a][b][b], ct3[a][b][b]))));
			}
		}
		selfadd(res, mul(cr, 6));





		//2 unique values, 1 + 3
		cr = 0;
		for(int a = 0; a < Z; a++)
		{
			for(int b = a+1; b < Z; b++)
			{
				selfadd(cr, mul(ct3[a][a][a], mul(ct3[a][a][b], mul(ct3[a][a][b], ct3[a][a][b]))));
				selfadd(cr, mul(ct3[b][b][b], mul(ct3[a][b][b], mul(ct3[a][b][b], ct3[a][b][b]))));
			}
		}
		selfadd(res, mul(cr, 4));





		//3 unique values

		cr = 0;

		for(int a = 0; a < Z; a++)
		{
			for(int b = a+1; b < Z; b++)
			{
				for(int c = b+1; c < Z; c++)
				{
					//1 + 1 + 2

					selfadd(cr, mul(ct3[a][b][c], mul(ct3[a][b][c], mul(ct3[a][c][c], ct3[b][c][c]))));
					selfadd(cr, mul(ct3[a][b][c], mul(ct3[a][b][c], mul(ct3[a][a][c], ct3[a][a][b]))));
					selfadd(cr, mul(ct3[a][b][c], mul(ct3[a][b][c], mul(ct3[a][b][b], ct3[b][b][c]))));
				}
			}
		}

		selfadd(res, mul(12, cr));





		//4 unique values

		cr = 0;

		for(int a = 0; a < Z; a++)
		{
			for(int b = a+1; b < Z; b++)
			{
				for(int c = b+1; c < Z; c++)
				{
					for(int d = c+1; d < Z; d++)
					{
						selfadd(cr, mul(ct3[a][b][c], mul(ct3[a][b][d], mul(ct3[a][c][d], ct3[b][c][d]))));
					}
				}
			}
		}

		selfadd(res, mul(cr, 24));

		// cerr << l << " : " << res << '\n';
	}

	cout << res << '\n';
}

Subtask #1
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 257 ms 17504 KB Output is correct
2 Correct 259 ms 17580 KB Output is correct
3 Correct 251 ms 17496 KB Output is correct
4 Correct 287 ms 17472 KB Output is correct
5 Correct 243 ms 17496 KB Output is correct
6 Correct 233 ms 17500 KB Output is correct
7 Correct 243 ms 17508 KB Output is correct
8 Correct 228 ms 17492 KB Output is correct
9 Correct 245 ms 17492 KB Output is correct
10 Correct 234 ms 17508 KB Output is correct
11 Correct 238 ms 17496 KB Output is correct
12 Correct 233 ms 17488 KB Output is correct
13 Correct 230 ms 17504 KB Output is correct
14 Correct 238 ms 17492 KB Output is correct
15 Correct 264 ms 17504 KB Output is correct
16 Correct 254 ms 17548 KB Output is correct
17 Correct 231 ms 17492 KB Output is correct
18 Correct 258 ms 17492 KB Output is correct
19 Correct 258 ms 17488 KB Output is correct
20 Correct 272 ms 17500 KB Output is correct
21 Correct 231 ms 17484 KB Output is correct

Subtask #2
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 257 ms 17504 KB Output is correct
2 Correct 259 ms 17580 KB Output is correct
3 Correct 251 ms 17496 KB Output is correct
4 Correct 287 ms 17472 KB Output is correct
5 Correct 243 ms 17496 KB Output is correct
6 Correct 233 ms 17500 KB Output is correct
7 Correct 243 ms 17508 KB Output is correct
8 Correct 228 ms 17492 KB Output is correct
9 Correct 245 ms 17492 KB Output is correct
10 Correct 234 ms 17508 KB Output is correct
11 Correct 238 ms 17496 KB Output is correct
12 Correct 233 ms 17488 KB Output is correct
13 Correct 230 ms 17504 KB Output is correct
14 Correct 238 ms 17492 KB Output is correct
15 Correct 264 ms 17504 KB Output is correct
16 Correct 254 ms 17548 KB Output is correct
17 Correct 231 ms 17492 KB Output is correct
18 Correct 258 ms 17492 KB Output is correct
19 Correct 258 ms 17488 KB Output is correct
20 Correct 272 ms 17500 KB Output is correct
21 Correct 231 ms 17484 KB Output is correct
22 Correct 245 ms 18232 KB Output is correct
23 Correct 236 ms 18216 KB Output is correct
24 Correct 265 ms 18304 KB Output is correct
25 Correct 228 ms 18248 KB Output is correct
26 Correct 237 ms 18200 KB Output is correct
27 Correct 241 ms 18312 KB Output is correct
28 Correct 229 ms 18372 KB Output is correct
29 Correct 232 ms 18276 KB Output is correct
30 Correct 273 ms 18232 KB Output is correct
31 Correct 227 ms 18176 KB Output is correct
32 Correct 274 ms 18236 KB Output is correct
33 Correct 243 ms 18224 KB Output is correct
34 Correct 233 ms 18256 KB Output is correct
35 Correct 250 ms 18212 KB Output is correct
36 Correct 231 ms 18232 KB Output is correct
37 Correct 244 ms 18264 KB Output is correct
38 Correct 244 ms 18196 KB Output is correct
39 Correct 247 ms 18332 KB Output is correct
40 Correct 257 ms 18220 KB Output is correct
41 Correct 238 ms 18184 KB Output is correct
42 Correct 231 ms 18228 KB Output is correct

Subtask #3
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 257 ms 17504 KB Output is correct
2 Correct 259 ms 17580 KB Output is correct
3 Correct 251 ms 17496 KB Output is correct
4 Correct 287 ms 17472 KB Output is correct
5 Correct 243 ms 17496 KB Output is correct
6 Correct 233 ms 17500 KB Output is correct
7 Correct 243 ms 17508 KB Output is correct
8 Correct 228 ms 17492 KB Output is correct
9 Correct 245 ms 17492 KB Output is correct
10 Correct 234 ms 17508 KB Output is correct
11 Correct 238 ms 17496 KB Output is correct
12 Correct 233 ms 17488 KB Output is correct
13 Correct 230 ms 17504 KB Output is correct
14 Correct 238 ms 17492 KB Output is correct
15 Correct 264 ms 17504 KB Output is correct
16 Correct 254 ms 17548 KB Output is correct
17 Correct 231 ms 17492 KB Output is correct
18 Correct 258 ms 17492 KB Output is correct
19 Correct 258 ms 17488 KB Output is correct
20 Correct 272 ms 17500 KB Output is correct
21 Correct 231 ms 17484 KB Output is correct
22 Correct 245 ms 18232 KB Output is correct
23 Correct 236 ms 18216 KB Output is correct
24 Correct 265 ms 18304 KB Output is correct
25 Correct 228 ms 18248 KB Output is correct
26 Correct 237 ms 18200 KB Output is correct
27 Correct 241 ms 18312 KB Output is correct
28 Correct 229 ms 18372 KB Output is correct
29 Correct 232 ms 18276 KB Output is correct
30 Correct 273 ms 18232 KB Output is correct
31 Correct 227 ms 18176 KB Output is correct
32 Correct 274 ms 18236 KB Output is correct
33 Correct 243 ms 18224 KB Output is correct
34 Correct 233 ms 18256 KB Output is correct
35 Correct 250 ms 18212 KB Output is correct
36 Correct 231 ms 18232 KB Output is correct
37 Correct 244 ms 18264 KB Output is correct
38 Correct 244 ms 18196 KB Output is correct
39 Correct 247 ms 18332 KB Output is correct
40 Correct 257 ms 18220 KB Output is correct
41 Correct 238 ms 18184 KB Output is correct
42 Correct 231 ms 18228 KB Output is correct
43 Correct 231 ms 18496 KB Output is correct
44 Correct 235 ms 18664 KB Output is correct
45 Correct 253 ms 18564 KB Output is correct
46 Correct 241 ms 18576 KB Output is correct
47 Correct 270 ms 18580 KB Output is correct
48 Correct 235 ms 18636 KB Output is correct
49 Correct 275 ms 18596 KB Output is correct
50 Correct 238 ms 18776 KB Output is correct
51 Correct 270 ms 18640 KB Output is correct
52 Correct 243 ms 18580 KB Output is correct
53 Correct 248 ms 18632 KB Output is correct
54 Correct 244 ms 18592 KB Output is correct
55 Correct 237 ms 18636 KB Output is correct
56 Correct 231 ms 18640 KB Output is correct
57 Correct 244 ms 18564 KB Output is correct
58 Correct 273 ms 18588 KB Output is correct
59 Correct 231 ms 18624 KB Output is correct
60 Correct 241 ms 18620 KB Output is correct
61 Correct 248 ms 18660 KB Output is correct
62 Correct 240 ms 18592 KB Output is correct
63 Correct 250 ms 18604 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 257 ms 17504 KB Output is correct
2 Correct 259 ms 17580 KB Output is correct
3 Correct 251 ms 17496 KB Output is correct
4 Correct 287 ms 17472 KB Output is correct
5 Correct 243 ms 17496 KB Output is correct
6 Correct 233 ms 17500 KB Output is correct
7 Correct 243 ms 17508 KB Output is correct
8 Correct 228 ms 17492 KB Output is correct
9 Correct 245 ms 17492 KB Output is correct
10 Correct 234 ms 17508 KB Output is correct
11 Correct 238 ms 17496 KB Output is correct
12 Correct 233 ms 17488 KB Output is correct
13 Correct 230 ms 17504 KB Output is correct
14 Correct 238 ms 17492 KB Output is correct
15 Correct 264 ms 17504 KB Output is correct
16 Correct 254 ms 17548 KB Output is correct
17 Correct 231 ms 17492 KB Output is correct
18 Correct 258 ms 17492 KB Output is correct
19 Correct 258 ms 17488 KB Output is correct
20 Correct 272 ms 17500 KB Output is correct
21 Correct 231 ms 17484 KB Output is correct
22 Correct 245 ms 18232 KB Output is correct
23 Correct 236 ms 18216 KB Output is correct
24 Correct 265 ms 18304 KB Output is correct
25 Correct 228 ms 18248 KB Output is correct
26 Correct 237 ms 18200 KB Output is correct
27 Correct 241 ms 18312 KB Output is correct
28 Correct 229 ms 18372 KB Output is correct
29 Correct 232 ms 18276 KB Output is correct
30 Correct 273 ms 18232 KB Output is correct
31 Correct 227 ms 18176 KB Output is correct
32 Correct 274 ms 18236 KB Output is correct
33 Correct 243 ms 18224 KB Output is correct
34 Correct 233 ms 18256 KB Output is correct
35 Correct 250 ms 18212 KB Output is correct
36 Correct 231 ms 18232 KB Output is correct
37 Correct 244 ms 18264 KB Output is correct
38 Correct 244 ms 18196 KB Output is correct
39 Correct 247 ms 18332 KB Output is correct
40 Correct 257 ms 18220 KB Output is correct
41 Correct 238 ms 18184 KB Output is correct
42 Correct 231 ms 18228 KB Output is correct
43 Correct 231 ms 18496 KB Output is correct
44 Correct 235 ms 18664 KB Output is correct
45 Correct 253 ms 18564 KB Output is correct
46 Correct 241 ms 18576 KB Output is correct
47 Correct 270 ms 18580 KB Output is correct
48 Correct 235 ms 18636 KB Output is correct
49 Correct 275 ms 18596 KB Output is correct
50 Correct 238 ms 18776 KB Output is correct
51 Correct 270 ms 18640 KB Output is correct
52 Correct 243 ms 18580 KB Output is correct
53 Correct 248 ms 18632 KB Output is correct
54 Correct 244 ms 18592 KB Output is correct
55 Correct 237 ms 18636 KB Output is correct
56 Correct 231 ms 18640 KB Output is correct
57 Correct 244 ms 18564 KB Output is correct
58 Correct 273 ms 18588 KB Output is correct
59 Correct 231 ms 18624 KB Output is correct
60 Correct 241 ms 18620 KB Output is correct
61 Correct 248 ms 18660 KB Output is correct
62 Correct 240 ms 18592 KB Output is correct
63 Correct 250 ms 18604 KB Output is correct
64 Correct 265 ms 18824 KB Output is correct
65 Correct 238 ms 19316 KB Output is correct
66 Correct 262 ms 19420 KB Output is correct
67 Correct 257 ms 19364 KB Output is correct
68 Correct 249 ms 19320 KB Output is correct
69 Correct 247 ms 19416 KB Output is correct
70 Correct 249 ms 19316 KB Output is correct
71 Correct 248 ms 19364 KB Output is correct
72 Correct 242 ms 19396 KB Output is correct
73 Correct 239 ms 19352 KB Output is correct
74 Correct 248 ms 19364 KB Output is correct
75 Correct 243 ms 19488 KB Output is correct
76 Correct 241 ms 19440 KB Output is correct
77 Correct 234 ms 19316 KB Output is correct
78 Correct 247 ms 19396 KB Output is correct
79 Correct 258 ms 19384 KB Output is correct
80 Correct 269 ms 19388 KB Output is correct
81 Correct 258 ms 19424 KB Output is correct
82 Correct 252 ms 19380 KB Output is correct
83 Correct 239 ms 19432 KB Output is correct
84 Correct 228 ms 19296 KB Output is correct