#4980
Se dă un arbore cu N noduri numerotate de la 1 la N, înrădăcinat în nodul 1. O mutare de cal dintr-un nod u către un nod v constă în parcurgerea unui traseu u → x → y → v, unde x este părintele lui u, y este părintele lui v, iar v este un fiu al lui y astfel încât v ≠ x. Observăm cum mutarea se aseamănă unei mutări de cal pe tabla de șah.
Date fiind N și părinții fiecărui nod P2, . . . , Pn (nodul 1, fiind rădăcina, nu are părinte), să se determine:
1. Numărul de noduri cu exact un fiu.
Date fiind, în plus, Q perechi de noduri, să se determine pentru fiecare pereche dată (a, b):
2. Dacă se poate ajunge din nodul a în nodul b făcând succesiv mutări de cal. În caz afirmativ, răspunsul va fi 1, altfel 0.
3. Numărul de trasee distincte ce pornesc din nodul a și ajung în nodul b făcând succesiv mutări de cal. Deoarece răspunsul poate fi destul de mare, se cere restul împărțirii acestuia la 109 + 7.
OJI 2026, clasele 11-12
| Problema | Knight | Operații I/O |
knight.in/knight.out
|
|---|---|---|---|
| Limita timp | 1 secunde | Limita memorie |
Total: 256 MB
/
Stivă 8 MB
|
| Id soluție | #64523189 | Utilizator | |
| Fișier | knight.cpp | Dimensiune | 513 B |
| Data încărcării | 12 Mai 2026, 12:53 | Scor/rezultat | Eroare de compilare |
knight.cpp:3:13: error: variable ‘std::ifstream cin’ has initializer but incomplete type 3 | ifstream cin("knight.in") | ^ knight.cpp:4:1: error: expected ‘,’ or ‘;’ before ‘ofstream’ 4 | ofstream cout("knight.out") | ^~~~~~~~ knight.cpp: In function ‘int main()’: knight.cpp:8:5: error: reference to ‘cin’ is ambiguous 8 | cin>>c>>n; | ^~~ In file included from knight.cpp:1: /usr/include/c++/13/iostream:62:18: note: candidates are: ‘std::istream std::cin’ 62 | extern istream cin; ///< Linked to standard input | ^~~ knight.cpp:3:10: note: ‘<typeprefixerror>cin’ 3 | ifstream cin("knight.in") | ^~~ knight.cpp:8:10: error: ‘c’ was not declared in this scope 8 | cin>>c>>n; | ^ knight.cpp:8:13: error: ‘n’ was not declared in this scope 8 | cin>>c>>n; | ^ knight.cpp:9:9: error: ‘i’ was not declared in this scope 9 | for(i=2;i<=n;i++) | ^ knight.cpp:10:9: error: reference to ‘cin’ is ambiguous 10 | cin>>p[i]; | ^~~ /usr/include/c++/13/iostream:62:18: note: candidates are: ‘std::istream std::cin’ 62 | extern istream cin; ///< Linked to standard input | ^~~ knight.cpp:3:10: note: ‘<typeprefixerror>cin’ 3 | ifstream cin("knight.in") | ^~~ knight.cpp:10:14: error: ‘p’ was not declared in this scope 10 | cin>>p[i]; | ^ knight.cpp:13:13: error: ‘i’ was not declared in this scope 13 | for(i=2;i<=n;i++) | ^ knight.cpp:14:13: error: ‘f’ was not declared in this scope 14 | f[p[i]]++; | ^ knight.cpp:14:15: error: ‘p’ was not declared in this scope 14 | f[p[i]]++; | ^ knight.cpp:15:13: error: ‘i’ was not declared in this scope 15 | for(i=1;i<=n;i++) | ^ knight.cpp:16:16: error: ‘f’ was not declared in this scope 16 | if(f[i]==1) | ^ knight.cpp:17:13: error: ‘rez’ was not declared in this scope 17 | rez++; | ^~~ knight.cpp:15:9: warning: this ‘for’ clause does not guard... [-Wmisleading-indentation] 15 | for(i=1;i<=n;i++) | ^~~ knight.cpp:18:13: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the ‘for’ 18 | cout<<rez; | ^~~~ knight.cpp:18:19: error: ‘rez’ was not declared in this scope 18 | cout<<rez; | ^~~ knight.cpp:22:9: error: reference to ‘cin’ is ambiguous 22 | cin>>m; | ^~~ /usr/include/c++/13/iostream:62:18: note: candidates are: ‘std::istream std::cin’ 62 | extern istream cin; ///< Linked to standard input | ^~~ knight.cpp:3:10: note: ‘<typeprefixerror>cin’ 3 | ifstream cin("knight.in") | ^~~ knight.cpp:22:14: error: ‘m’ was not declared in this scope; did you mean ‘tm’? 22 | cin>>m; | ^ | tm knight.cpp:25:13: error: reference to ‘cin’ is ambiguous 25 | cin>>a>>b; | ^~~ /usr/include/c++/13/iostream:62:18: note: candidates are: ‘std::istream std::cin’ 62 | extern istream cin; ///< Linked to standard input | ^~~ knight.cpp:3:10: note: ‘<typeprefixerror>cin’ 3 | ifstream cin("knight.in") | ^~~ knight.cpp:25:18: error: ‘a’ was not declared in this scope 25 | cin>>a>>b; | ^ knight.cpp:25:21: error: ‘b’ was not declared in this scope 25 | cin>>a>>b; | ^
www.pbinfo.ro permite evaluarea a două tipuri de probleme:
Problema Knight face parte din prima categorie. Soluția propusă de tine va fi evaluată astfel:
Suma punctajelor acordate pe testele utilizate pentru verificare este 100. Astfel, soluția ta poate obține cel mult 100 de puncte, caz în care se poate considera corectă.