// 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 = i; j < kC; ++j) if(adj[u][j])
for(int k = j; k < kC; ++k) if(adj[u][k]){
int v = 1ll * adj[i][u] * adj[j][u] * adj[k][u] % MOD;
vector<int> a = {i, j, k};
do mad(tri[a[0]][a[1]][a[2]], v); while(next_permutation(AI(a)));
}
// 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;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
227 ms |
65144 KB |
Output is correct |
2 |
Correct |
231 ms |
65228 KB |
Output is correct |
3 |
Correct |
233 ms |
65300 KB |
Output is correct |
4 |
Correct |
234 ms |
65448 KB |
Output is correct |
5 |
Correct |
234 ms |
65168 KB |
Output is correct |
6 |
Correct |
228 ms |
65348 KB |
Output is correct |
7 |
Correct |
225 ms |
65384 KB |
Output is correct |
8 |
Correct |
224 ms |
65264 KB |
Output is correct |
9 |
Correct |
230 ms |
65220 KB |
Output is correct |
10 |
Correct |
261 ms |
65332 KB |
Output is correct |
11 |
Correct |
228 ms |
65248 KB |
Output is correct |
12 |
Correct |
229 ms |
65284 KB |
Output is correct |
13 |
Correct |
227 ms |
65196 KB |
Output is correct |
14 |
Correct |
227 ms |
65220 KB |
Output is correct |
15 |
Correct |
225 ms |
65348 KB |
Output is correct |
16 |
Correct |
222 ms |
65240 KB |
Output is correct |
17 |
Correct |
223 ms |
65176 KB |
Output is correct |
18 |
Correct |
224 ms |
65196 KB |
Output is correct |
19 |
Correct |
230 ms |
65228 KB |
Output is correct |
20 |
Correct |
232 ms |
65196 KB |
Output is correct |
21 |
Correct |
228 ms |
65244 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
227 ms |
65144 KB |
Output is correct |
2 |
Correct |
231 ms |
65228 KB |
Output is correct |
3 |
Correct |
233 ms |
65300 KB |
Output is correct |
4 |
Correct |
234 ms |
65448 KB |
Output is correct |
5 |
Correct |
234 ms |
65168 KB |
Output is correct |
6 |
Correct |
228 ms |
65348 KB |
Output is correct |
7 |
Correct |
225 ms |
65384 KB |
Output is correct |
8 |
Correct |
224 ms |
65264 KB |
Output is correct |
9 |
Correct |
230 ms |
65220 KB |
Output is correct |
10 |
Correct |
261 ms |
65332 KB |
Output is correct |
11 |
Correct |
228 ms |
65248 KB |
Output is correct |
12 |
Correct |
229 ms |
65284 KB |
Output is correct |
13 |
Correct |
227 ms |
65196 KB |
Output is correct |
14 |
Correct |
227 ms |
65220 KB |
Output is correct |
15 |
Correct |
225 ms |
65348 KB |
Output is correct |
16 |
Correct |
222 ms |
65240 KB |
Output is correct |
17 |
Correct |
223 ms |
65176 KB |
Output is correct |
18 |
Correct |
224 ms |
65196 KB |
Output is correct |
19 |
Correct |
230 ms |
65228 KB |
Output is correct |
20 |
Correct |
232 ms |
65196 KB |
Output is correct |
21 |
Correct |
228 ms |
65244 KB |
Output is correct |
22 |
Correct |
241 ms |
64516 KB |
Output is correct |
23 |
Correct |
239 ms |
64408 KB |
Output is correct |
24 |
Correct |
243 ms |
64380 KB |
Output is correct |
25 |
Correct |
237 ms |
64560 KB |
Output is correct |
26 |
Correct |
238 ms |
64456 KB |
Output is correct |
27 |
Correct |
241 ms |
64360 KB |
Output is correct |
28 |
Correct |
241 ms |
64392 KB |
Output is correct |
29 |
Correct |
235 ms |
64428 KB |
Output is correct |
30 |
Correct |
240 ms |
64408 KB |
Output is correct |
31 |
Correct |
238 ms |
64348 KB |
Output is correct |
32 |
Correct |
238 ms |
64352 KB |
Output is correct |
33 |
Correct |
236 ms |
64456 KB |
Output is correct |
34 |
Correct |
235 ms |
64404 KB |
Output is correct |
35 |
Correct |
240 ms |
64408 KB |
Output is correct |
36 |
Correct |
242 ms |
64428 KB |
Output is correct |
37 |
Correct |
237 ms |
64476 KB |
Output is correct |
38 |
Correct |
246 ms |
64464 KB |
Output is correct |
39 |
Correct |
246 ms |
64420 KB |
Output is correct |
40 |
Correct |
242 ms |
64340 KB |
Output is correct |
41 |
Correct |
235 ms |
64352 KB |
Output is correct |
42 |
Correct |
235 ms |
64532 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
227 ms |
65144 KB |
Output is correct |
2 |
Correct |
231 ms |
65228 KB |
Output is correct |
3 |
Correct |
233 ms |
65300 KB |
Output is correct |
4 |
Correct |
234 ms |
65448 KB |
Output is correct |
5 |
Correct |
234 ms |
65168 KB |
Output is correct |
6 |
Correct |
228 ms |
65348 KB |
Output is correct |
7 |
Correct |
225 ms |
65384 KB |
Output is correct |
8 |
Correct |
224 ms |
65264 KB |
Output is correct |
9 |
Correct |
230 ms |
65220 KB |
Output is correct |
10 |
Correct |
261 ms |
65332 KB |
Output is correct |
11 |
Correct |
228 ms |
65248 KB |
Output is correct |
12 |
Correct |
229 ms |
65284 KB |
Output is correct |
13 |
Correct |
227 ms |
65196 KB |
Output is correct |
14 |
Correct |
227 ms |
65220 KB |
Output is correct |
15 |
Correct |
225 ms |
65348 KB |
Output is correct |
16 |
Correct |
222 ms |
65240 KB |
Output is correct |
17 |
Correct |
223 ms |
65176 KB |
Output is correct |
18 |
Correct |
224 ms |
65196 KB |
Output is correct |
19 |
Correct |
230 ms |
65228 KB |
Output is correct |
20 |
Correct |
232 ms |
65196 KB |
Output is correct |
21 |
Correct |
228 ms |
65244 KB |
Output is correct |
22 |
Correct |
241 ms |
64516 KB |
Output is correct |
23 |
Correct |
239 ms |
64408 KB |
Output is correct |
24 |
Correct |
243 ms |
64380 KB |
Output is correct |
25 |
Correct |
237 ms |
64560 KB |
Output is correct |
26 |
Correct |
238 ms |
64456 KB |
Output is correct |
27 |
Correct |
241 ms |
64360 KB |
Output is correct |
28 |
Correct |
241 ms |
64392 KB |
Output is correct |
29 |
Correct |
235 ms |
64428 KB |
Output is correct |
30 |
Correct |
240 ms |
64408 KB |
Output is correct |
31 |
Correct |
238 ms |
64348 KB |
Output is correct |
32 |
Correct |
238 ms |
64352 KB |
Output is correct |
33 |
Correct |
236 ms |
64456 KB |
Output is correct |
34 |
Correct |
235 ms |
64404 KB |
Output is correct |
35 |
Correct |
240 ms |
64408 KB |
Output is correct |
36 |
Correct |
242 ms |
64428 KB |
Output is correct |
37 |
Correct |
237 ms |
64476 KB |
Output is correct |
38 |
Correct |
246 ms |
64464 KB |
Output is correct |
39 |
Correct |
246 ms |
64420 KB |
Output is correct |
40 |
Correct |
242 ms |
64340 KB |
Output is correct |
41 |
Correct |
235 ms |
64352 KB |
Output is correct |
42 |
Correct |
235 ms |
64532 KB |
Output is correct |
43 |
Correct |
400 ms |
64488 KB |
Output is correct |
44 |
Correct |
389 ms |
64536 KB |
Output is correct |
45 |
Correct |
388 ms |
64396 KB |
Output is correct |
46 |
Correct |
404 ms |
64412 KB |
Output is correct |
47 |
Correct |
389 ms |
64348 KB |
Output is correct |
48 |
Correct |
404 ms |
64220 KB |
Output is correct |
49 |
Correct |
398 ms |
64376 KB |
Output is correct |
50 |
Correct |
403 ms |
64356 KB |
Output is correct |
51 |
Correct |
396 ms |
64260 KB |
Output is correct |
52 |
Correct |
405 ms |
64332 KB |
Output is correct |
53 |
Correct |
413 ms |
64416 KB |
Output is correct |
54 |
Correct |
394 ms |
64448 KB |
Output is correct |
55 |
Correct |
399 ms |
64276 KB |
Output is correct |
56 |
Correct |
407 ms |
64456 KB |
Output is correct |
57 |
Correct |
403 ms |
64276 KB |
Output is correct |
58 |
Correct |
394 ms |
64412 KB |
Output is correct |
59 |
Correct |
389 ms |
64292 KB |
Output is correct |
60 |
Correct |
389 ms |
64264 KB |
Output is correct |
61 |
Correct |
403 ms |
64416 KB |
Output is correct |
62 |
Correct |
394 ms |
64464 KB |
Output is correct |
63 |
Correct |
392 ms |
64300 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
227 ms |
65144 KB |
Output is correct |
2 |
Correct |
231 ms |
65228 KB |
Output is correct |
3 |
Correct |
233 ms |
65300 KB |
Output is correct |
4 |
Correct |
234 ms |
65448 KB |
Output is correct |
5 |
Correct |
234 ms |
65168 KB |
Output is correct |
6 |
Correct |
228 ms |
65348 KB |
Output is correct |
7 |
Correct |
225 ms |
65384 KB |
Output is correct |
8 |
Correct |
224 ms |
65264 KB |
Output is correct |
9 |
Correct |
230 ms |
65220 KB |
Output is correct |
10 |
Correct |
261 ms |
65332 KB |
Output is correct |
11 |
Correct |
228 ms |
65248 KB |
Output is correct |
12 |
Correct |
229 ms |
65284 KB |
Output is correct |
13 |
Correct |
227 ms |
65196 KB |
Output is correct |
14 |
Correct |
227 ms |
65220 KB |
Output is correct |
15 |
Correct |
225 ms |
65348 KB |
Output is correct |
16 |
Correct |
222 ms |
65240 KB |
Output is correct |
17 |
Correct |
223 ms |
65176 KB |
Output is correct |
18 |
Correct |
224 ms |
65196 KB |
Output is correct |
19 |
Correct |
230 ms |
65228 KB |
Output is correct |
20 |
Correct |
232 ms |
65196 KB |
Output is correct |
21 |
Correct |
228 ms |
65244 KB |
Output is correct |
22 |
Correct |
241 ms |
64516 KB |
Output is correct |
23 |
Correct |
239 ms |
64408 KB |
Output is correct |
24 |
Correct |
243 ms |
64380 KB |
Output is correct |
25 |
Correct |
237 ms |
64560 KB |
Output is correct |
26 |
Correct |
238 ms |
64456 KB |
Output is correct |
27 |
Correct |
241 ms |
64360 KB |
Output is correct |
28 |
Correct |
241 ms |
64392 KB |
Output is correct |
29 |
Correct |
235 ms |
64428 KB |
Output is correct |
30 |
Correct |
240 ms |
64408 KB |
Output is correct |
31 |
Correct |
238 ms |
64348 KB |
Output is correct |
32 |
Correct |
238 ms |
64352 KB |
Output is correct |
33 |
Correct |
236 ms |
64456 KB |
Output is correct |
34 |
Correct |
235 ms |
64404 KB |
Output is correct |
35 |
Correct |
240 ms |
64408 KB |
Output is correct |
36 |
Correct |
242 ms |
64428 KB |
Output is correct |
37 |
Correct |
237 ms |
64476 KB |
Output is correct |
38 |
Correct |
246 ms |
64464 KB |
Output is correct |
39 |
Correct |
246 ms |
64420 KB |
Output is correct |
40 |
Correct |
242 ms |
64340 KB |
Output is correct |
41 |
Correct |
235 ms |
64352 KB |
Output is correct |
42 |
Correct |
235 ms |
64532 KB |
Output is correct |
43 |
Correct |
400 ms |
64488 KB |
Output is correct |
44 |
Correct |
389 ms |
64536 KB |
Output is correct |
45 |
Correct |
388 ms |
64396 KB |
Output is correct |
46 |
Correct |
404 ms |
64412 KB |
Output is correct |
47 |
Correct |
389 ms |
64348 KB |
Output is correct |
48 |
Correct |
404 ms |
64220 KB |
Output is correct |
49 |
Correct |
398 ms |
64376 KB |
Output is correct |
50 |
Correct |
403 ms |
64356 KB |
Output is correct |
51 |
Correct |
396 ms |
64260 KB |
Output is correct |
52 |
Correct |
405 ms |
64332 KB |
Output is correct |
53 |
Correct |
413 ms |
64416 KB |
Output is correct |
54 |
Correct |
394 ms |
64448 KB |
Output is correct |
55 |
Correct |
399 ms |
64276 KB |
Output is correct |
56 |
Correct |
407 ms |
64456 KB |
Output is correct |
57 |
Correct |
403 ms |
64276 KB |
Output is correct |
58 |
Correct |
394 ms |
64412 KB |
Output is correct |
59 |
Correct |
389 ms |
64292 KB |
Output is correct |
60 |
Correct |
389 ms |
64264 KB |
Output is correct |
61 |
Correct |
403 ms |
64416 KB |
Output is correct |
62 |
Correct |
394 ms |
64464 KB |
Output is correct |
63 |
Correct |
392 ms |
64300 KB |
Output is correct |
64 |
Execution timed out |
1192 ms |
64276 KB |
Time limit exceeded |
65 |
Halted |
0 ms |
0 KB |
- |