Submission #447045

# Submission time Handle Problem Language Result Execution time Memory
447045 2021-07-24T09:55:32 Z fhvirus Cubeword (CEOI19_cubeword) C++17
84 / 100
1100 ms 65416 KB
// Knapsack DP is harder than FFT.
#include<bits/stdc++.h>
using namespace std;
typedef long long ll; typedef pair<int,int> pii; typedef pair<ll,ll> pll;
#define ff first
#define ss second
#define pb emplace_back
#define AI(x) begin(x),end(x)
template<class I>bool chmax(I&a,I b){return a<b?(a=b,true):false;}
template<class I>bool chmin(I&a,I b){return b<a?(a=b,true):false;} 
#ifdef OWO
#define debug(args...) SDF(#args, args)
#define OIU(args...) ostream& operator<<(ostream&O,args)
#define LKJ(S,B,E,F) template<class...T>OIU(S<T...>s){O<<B;int c=0;for(auto i:s)O<<(c++?", ":"")<<F;return O<<E;}
LKJ(vector,'[',']',i)LKJ(deque,'[',']',i)LKJ(set,'{','}',i)LKJ(multiset,'{','}',i)LKJ(unordered_set,'{','}',i)LKJ(map,'{','}',i.ff<<':'<<i.ss)LKJ(unordered_map,'{','}',i.ff<<':'<<i.ss)
template<class...T>void SDF(const char* s,T...a){int c=sizeof...(T);if(!c){cerr<<"\033[1;32mvoid\033[0m\n";return;}(cerr<<"\033[1;32m("<<s<<") = (",...,(cerr<<a<<(--c?", ":")\033[0m\n")));}
template<class T,size_t N>OIU(array<T,N>a){return O<<vector<T>(AI(a));}template<class...T>OIU(pair<T...>p){return O<<'('<<p.ff<<','<<p.ss<<')';}template<class...T>OIU(tuple<T...>t){return O<<'(',apply([&O](T...s){int c=0;(...,(O<<(c++?", ":"")<<s));},t),O<<')';}
#else
#pragma GCC optimize("Ofast")
#define debug(...) ((void)0)
#endif
 
const int kC = 62;
const int MOD = 998244353;
inline int ci(char c){ return c >= 'a' ? c - 'a' : (c >= 'A' ? c - 'A' + 26 : c - '0' + 52); }
inline void mad(int &a, int b){ a += b - MOD; a += (a>>31) & MOD; }
 
int adj[kC][kC];
int tri[kC][kC][kC];
int qua[kC][kC][kC][kC];
void init(){
	memset(adj, 0, sizeof(adj));
	memset(tri, 0, sizeof(tri));
	memset(qua, 0, sizeof(qua));
}
 
bool isPalim(string s){
	int n = s.size();
	for(int l = 0, r = n-1; l < r; ++l, --r)
		if(s[l] != s[r]) return false;
	return true;
}
 
int solve(vector<string> &s){
	debug(s);
	if(s.empty()) return 0;
	init();
	set<string> ss;
	for(auto i: s){
		if(ss.count(i)) continue;
		int a = ci(i.front()), b = ci(i.back());
		ss.insert(i);
		++adj[a][b];
		if(isPalim(i)) continue;
		reverse(AI(i));
		ss.insert(i);
		++adj[b][a];
	}
 
//	for(int i = 0; i < kC; ++i){
//		for(int j = 0; j < kC; ++j)
//			cout << adj[i][j] << ' ';
//		cout << '\n';
//	}
 
	// construct tri
	for(int u = 0; u < kC; ++u)
		for(int i = 0; i < kC; ++i) if(adj[u][i])
			for(int j = 0; j < kC; ++j) if(adj[u][j])
				for(int k = 0; k < kC; ++k) if(adj[u][k]){
					int v = 1ll * adj[i][u] * adj[j][u] * adj[k][u] % MOD;
					mad(tri[i][j][k], v);
				}
 
	// construct qua
	for(int i = 0; i < kC; ++i)
		for(int j = 0; j < kC; ++j)
			for(int k = j; k < kC; ++k) if(tri[i][j][k])
				for(int l = i; l < kC; ++l) if(tri[j][k][l]){
					int v = 1ll * tri[i][j][k] * tri[j][k][l] % MOD;
					mad(qua[i][j][k][l], v);
					if(k != j) mad(qua[i][k][j][l], v);
					if(i != l) mad(qua[l][j][k][i], v);
					if(i != l and k != j) mad(qua[l][k][j][i], v);
				}
 
	int ans = 0;
	for(int i = 0; i < kC; ++i)
		for(int j = i; j < kC; ++j)
			for(int k = 0; k < kC; ++k)
				for(int l = k; l < kC; ++l) if(qua[i][j][k][l]){
					ll v = 1; if(i != j) v *= 2; if(k != l) v *= 2;
					mad(ans, v * qua[i][j][k][l] * qua[j][i][l][k] % MOD);
				}
 
	debug(ans);
	return ans;
}
 
signed main(){
	ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	int n; cin >> n; cin.ignore();
	vector<vector<string>> bkt(11);
	string s;
	for(int i = 1; i <= n; ++i){
		getline(cin, s);
		bkt[s.length()].push_back(s);
	}
 
	int ans = 0;
	for(int i = 3; i <= 10; ++i)
		mad(ans, solve(bkt[i]));
	cout << ans;
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 247 ms 65148 KB Output is correct
2 Correct 235 ms 65364 KB Output is correct
3 Correct 231 ms 65416 KB Output is correct
4 Correct 243 ms 65228 KB Output is correct
5 Correct 241 ms 65252 KB Output is correct
6 Correct 236 ms 65136 KB Output is correct
7 Correct 236 ms 65276 KB Output is correct
8 Correct 236 ms 65356 KB Output is correct
9 Correct 238 ms 65260 KB Output is correct
10 Correct 241 ms 65284 KB Output is correct
11 Correct 238 ms 65168 KB Output is correct
12 Correct 234 ms 65292 KB Output is correct
13 Correct 231 ms 65264 KB Output is correct
14 Correct 231 ms 65360 KB Output is correct
15 Correct 256 ms 65180 KB Output is correct
16 Correct 233 ms 65136 KB Output is correct
17 Correct 240 ms 65256 KB Output is correct
18 Correct 235 ms 65208 KB Output is correct
19 Correct 235 ms 65208 KB Output is correct
20 Correct 239 ms 65272 KB Output is correct
21 Correct 240 ms 65232 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 247 ms 65148 KB Output is correct
2 Correct 235 ms 65364 KB Output is correct
3 Correct 231 ms 65416 KB Output is correct
4 Correct 243 ms 65228 KB Output is correct
5 Correct 241 ms 65252 KB Output is correct
6 Correct 236 ms 65136 KB Output is correct
7 Correct 236 ms 65276 KB Output is correct
8 Correct 236 ms 65356 KB Output is correct
9 Correct 238 ms 65260 KB Output is correct
10 Correct 241 ms 65284 KB Output is correct
11 Correct 238 ms 65168 KB Output is correct
12 Correct 234 ms 65292 KB Output is correct
13 Correct 231 ms 65264 KB Output is correct
14 Correct 231 ms 65360 KB Output is correct
15 Correct 256 ms 65180 KB Output is correct
16 Correct 233 ms 65136 KB Output is correct
17 Correct 240 ms 65256 KB Output is correct
18 Correct 235 ms 65208 KB Output is correct
19 Correct 235 ms 65208 KB Output is correct
20 Correct 239 ms 65272 KB Output is correct
21 Correct 240 ms 65232 KB Output is correct
22 Correct 239 ms 64460 KB Output is correct
23 Correct 249 ms 64460 KB Output is correct
24 Correct 256 ms 64436 KB Output is correct
25 Correct 250 ms 64528 KB Output is correct
26 Correct 241 ms 64472 KB Output is correct
27 Correct 234 ms 64428 KB Output is correct
28 Correct 242 ms 64432 KB Output is correct
29 Correct 244 ms 64460 KB Output is correct
30 Correct 244 ms 64432 KB Output is correct
31 Correct 238 ms 64528 KB Output is correct
32 Correct 238 ms 64364 KB Output is correct
33 Correct 241 ms 64572 KB Output is correct
34 Correct 277 ms 64452 KB Output is correct
35 Correct 240 ms 64400 KB Output is correct
36 Correct 244 ms 64448 KB Output is correct
37 Correct 252 ms 64520 KB Output is correct
38 Correct 240 ms 64460 KB Output is correct
39 Correct 236 ms 64412 KB Output is correct
40 Correct 244 ms 64472 KB Output is correct
41 Correct 240 ms 64352 KB Output is correct
42 Correct 239 ms 64496 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 247 ms 65148 KB Output is correct
2 Correct 235 ms 65364 KB Output is correct
3 Correct 231 ms 65416 KB Output is correct
4 Correct 243 ms 65228 KB Output is correct
5 Correct 241 ms 65252 KB Output is correct
6 Correct 236 ms 65136 KB Output is correct
7 Correct 236 ms 65276 KB Output is correct
8 Correct 236 ms 65356 KB Output is correct
9 Correct 238 ms 65260 KB Output is correct
10 Correct 241 ms 65284 KB Output is correct
11 Correct 238 ms 65168 KB Output is correct
12 Correct 234 ms 65292 KB Output is correct
13 Correct 231 ms 65264 KB Output is correct
14 Correct 231 ms 65360 KB Output is correct
15 Correct 256 ms 65180 KB Output is correct
16 Correct 233 ms 65136 KB Output is correct
17 Correct 240 ms 65256 KB Output is correct
18 Correct 235 ms 65208 KB Output is correct
19 Correct 235 ms 65208 KB Output is correct
20 Correct 239 ms 65272 KB Output is correct
21 Correct 240 ms 65232 KB Output is correct
22 Correct 239 ms 64460 KB Output is correct
23 Correct 249 ms 64460 KB Output is correct
24 Correct 256 ms 64436 KB Output is correct
25 Correct 250 ms 64528 KB Output is correct
26 Correct 241 ms 64472 KB Output is correct
27 Correct 234 ms 64428 KB Output is correct
28 Correct 242 ms 64432 KB Output is correct
29 Correct 244 ms 64460 KB Output is correct
30 Correct 244 ms 64432 KB Output is correct
31 Correct 238 ms 64528 KB Output is correct
32 Correct 238 ms 64364 KB Output is correct
33 Correct 241 ms 64572 KB Output is correct
34 Correct 277 ms 64452 KB Output is correct
35 Correct 240 ms 64400 KB Output is correct
36 Correct 244 ms 64448 KB Output is correct
37 Correct 252 ms 64520 KB Output is correct
38 Correct 240 ms 64460 KB Output is correct
39 Correct 236 ms 64412 KB Output is correct
40 Correct 244 ms 64472 KB Output is correct
41 Correct 240 ms 64352 KB Output is correct
42 Correct 239 ms 64496 KB Output is correct
43 Correct 344 ms 64272 KB Output is correct
44 Correct 341 ms 64444 KB Output is correct
45 Correct 347 ms 64428 KB Output is correct
46 Correct 355 ms 64268 KB Output is correct
47 Correct 357 ms 64248 KB Output is correct
48 Correct 352 ms 64252 KB Output is correct
49 Correct 353 ms 64260 KB Output is correct
50 Correct 348 ms 64276 KB Output is correct
51 Correct 394 ms 64184 KB Output is correct
52 Correct 349 ms 64468 KB Output is correct
53 Correct 344 ms 64308 KB Output is correct
54 Correct 345 ms 64540 KB Output is correct
55 Correct 359 ms 64264 KB Output is correct
56 Correct 356 ms 64460 KB Output is correct
57 Correct 349 ms 64144 KB Output is correct
58 Correct 358 ms 64364 KB Output is correct
59 Correct 365 ms 64156 KB Output is correct
60 Correct 358 ms 64304 KB Output is correct
61 Correct 359 ms 64244 KB Output is correct
62 Correct 344 ms 64284 KB Output is correct
63 Correct 363 ms 64292 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 247 ms 65148 KB Output is correct
2 Correct 235 ms 65364 KB Output is correct
3 Correct 231 ms 65416 KB Output is correct
4 Correct 243 ms 65228 KB Output is correct
5 Correct 241 ms 65252 KB Output is correct
6 Correct 236 ms 65136 KB Output is correct
7 Correct 236 ms 65276 KB Output is correct
8 Correct 236 ms 65356 KB Output is correct
9 Correct 238 ms 65260 KB Output is correct
10 Correct 241 ms 65284 KB Output is correct
11 Correct 238 ms 65168 KB Output is correct
12 Correct 234 ms 65292 KB Output is correct
13 Correct 231 ms 65264 KB Output is correct
14 Correct 231 ms 65360 KB Output is correct
15 Correct 256 ms 65180 KB Output is correct
16 Correct 233 ms 65136 KB Output is correct
17 Correct 240 ms 65256 KB Output is correct
18 Correct 235 ms 65208 KB Output is correct
19 Correct 235 ms 65208 KB Output is correct
20 Correct 239 ms 65272 KB Output is correct
21 Correct 240 ms 65232 KB Output is correct
22 Correct 239 ms 64460 KB Output is correct
23 Correct 249 ms 64460 KB Output is correct
24 Correct 256 ms 64436 KB Output is correct
25 Correct 250 ms 64528 KB Output is correct
26 Correct 241 ms 64472 KB Output is correct
27 Correct 234 ms 64428 KB Output is correct
28 Correct 242 ms 64432 KB Output is correct
29 Correct 244 ms 64460 KB Output is correct
30 Correct 244 ms 64432 KB Output is correct
31 Correct 238 ms 64528 KB Output is correct
32 Correct 238 ms 64364 KB Output is correct
33 Correct 241 ms 64572 KB Output is correct
34 Correct 277 ms 64452 KB Output is correct
35 Correct 240 ms 64400 KB Output is correct
36 Correct 244 ms 64448 KB Output is correct
37 Correct 252 ms 64520 KB Output is correct
38 Correct 240 ms 64460 KB Output is correct
39 Correct 236 ms 64412 KB Output is correct
40 Correct 244 ms 64472 KB Output is correct
41 Correct 240 ms 64352 KB Output is correct
42 Correct 239 ms 64496 KB Output is correct
43 Correct 344 ms 64272 KB Output is correct
44 Correct 341 ms 64444 KB Output is correct
45 Correct 347 ms 64428 KB Output is correct
46 Correct 355 ms 64268 KB Output is correct
47 Correct 357 ms 64248 KB Output is correct
48 Correct 352 ms 64252 KB Output is correct
49 Correct 353 ms 64260 KB Output is correct
50 Correct 348 ms 64276 KB Output is correct
51 Correct 394 ms 64184 KB Output is correct
52 Correct 349 ms 64468 KB Output is correct
53 Correct 344 ms 64308 KB Output is correct
54 Correct 345 ms 64540 KB Output is correct
55 Correct 359 ms 64264 KB Output is correct
56 Correct 356 ms 64460 KB Output is correct
57 Correct 349 ms 64144 KB Output is correct
58 Correct 358 ms 64364 KB Output is correct
59 Correct 365 ms 64156 KB Output is correct
60 Correct 358 ms 64304 KB Output is correct
61 Correct 359 ms 64244 KB Output is correct
62 Correct 344 ms 64284 KB Output is correct
63 Correct 363 ms 64292 KB Output is correct
64 Execution timed out 1193 ms 64208 KB Time limit exceeded
65 Halted 0 ms 0 KB -