#1068
Constructorii angajaţi de faraonul Keops au terminat construirea piramidei în trepte mult visată. Măreaţa piramidă are
n
camere identice de formă cubică, numerotate de la 1
la n
, dispuse pe m
niveluri astfel:
1
şi are numărul 1
;2
al piramidei este format din următoarele 4
camere care în secţiune cu un plan paralel cu baza au aspectul unei matrice cu 2
linii şi 2
coloane; camerele de pe nivelul 2
sunt numerotate de la 2
la 5
în ordinea crescătoare a liniilor matricei, iar pe aceeaşi linie în ordinea crescătoare a coloanelor matricei;m
al piramidei este format din m*m
camere şi au, în secţiune cu un plan paralel cu baza, aspectul unei matrice cu m
linii şi m coloane; camerele de pe nivelul m
sunt numerotate în continuarea celor de pe nivelurile 1
, 2
,…, m-1
, în ordinea crescătoare a liniilor matricei de secţiune, iar pe aceeaşi linie în ordinea crescătoare a coloanelor matricei. De exemplu, piramida din desenul de mai sus are n=30
, m=4
iar camerele sunt numerotate şi dispuse pe niveluri astfel:Nivelurile de camere sunt poziţionate astfel încât camerele de pe prima linie şi prima coloană a fiecărui nivel să se suprapună. Pentru exemplul dat, camerele 1
, 2
, 6
şi 15
sunt situate una sub alta, în această ordine.
Accesul în oricare din camerele piramidei, situate pe diferite niveluri, se realizează prin drumuri construite astfel:
1
;k
de pe un drum se poate intra într-una din cele patru camere situate pe nivelul imediat următor al piramidei şi anume: camera situată sub cea cu numărul k
sau una din cele trei camere vecine acesteia în secţiune (în direcţiile Est, Sud-Est, Sud, considerând secţiunile poziţionate ca în imaginile de mai sus). De exemplu, din camera cu numărul 10
se poate intra într-una din camerele cu numerele: 20
, 21
, 24
sau 25
.Faraonul priveşte cu mândrie şi tristeţe la frumoasa piramidă. Banii din visterie s-au împuţinat iar camerele piramidei trebuie finisate şi decorate. Scribul său favorit a refăcut toate calculele, a eliminat obiectele inutile şi a stabilit pentru fiecare cameră k
un cost c
k
aferent finisării şi decorării ei (1≤k≤n
).
Însă, suma totală necesară fiind încă mare, faraonul i-a cerut scribului să aleagă un drum, dintre cele construite, care să treacă prin toate nivelurile piramidei astfel încât suma s
a tuturor costurilor aferente finisării şi decorării camerelor de pe acest drum să fie minimă. Deocamdată, doar aceste camere vor fi aranjate…
Scrieţi un program care să determine numărul m
de niveluri ale piramidei, suma minimă s
a tuturor costurilor aferente finisării şi decorării camerelor de pe un drum ce trece prin toate nivelurile piramidei, construit în modul descris în enunţ, precum şi un astfel de drum pentru care se obţine suma minimă, putând fi ales de scrib.
OJI 2011, Clasele XI-XII
Problema | Suma5 | Operații I/O |
![]() suma5.in /suma5.out
|
---|---|---|---|
Limita timp | 0.2 secunde | Limita memorie |
Total: 2 MB
/
Stivă 2 MB
|
Id soluție | #57942030 | Utilizator | |
Fișier | suma5.cpp | Dimensiune | 3.09 KB |
Data încărcării | 04 Mai 2025, 12:37 | Scor / rezultat | Eroare de compilare |
suma5.cpp: In function 'int main()': suma5.cpp:45:61: error: converting to 'const value_type {aka const std::tuple<int, int>}' from initializer list would use explicit constructor 'constexpr std::tuple<_T1, _T2>::tuple(_U1&&, _U2&&) [with _U1 = int; _U2 = int; <template-parameter-2-3> = void; _T1 = int; _T2 = int]' par[k].resize(k, vector<tuple<int, int>>(k, {-1, -1})); ^ suma5.cpp:63:82: error: no match for 'operator<' (operand types are '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' and '__gnu_cxx::__alloc_traits<std::allocator<std::vector<int> > >::value_type {aka std::vector<int>}') (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ suma5.cpp:63:82: note: candidates are: In file included from /usr/include/c++/4.8/bits/stl_algobase.h:64:0, from /usr/include/c++/4.8/bits/char_traits.h:39, from /usr/include/c++/4.8/ios:40, from /usr/include/c++/4.8/ostream:38, from /usr/include/c++/4.8/iostream:39, from suma5.cpp:1: /usr/include/c++/4.8/bits/stl_pair.h:220:5: note: template<class _T1, class _T2> constexpr bool std::operator<(const std::pair<_T1, _T2>&, const std::pair<_T1, _T2>&) operator<(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y) ^ /usr/include/c++/4.8/bits/stl_pair.h:220:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const std::pair<_T1, _T2>' and '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ In file included from /usr/include/c++/4.8/bits/stl_algobase.h:67:0, from /usr/include/c++/4.8/bits/char_traits.h:39, from /usr/include/c++/4.8/ios:40, from /usr/include/c++/4.8/ostream:38, from /usr/include/c++/4.8/iostream:39, from suma5.cpp:1: /usr/include/c++/4.8/bits/stl_iterator.h:297:5: note: template<class _Iterator> bool std::operator<(const std::reverse_iterator<_Iterator>&, const std::reverse_iterator<_Iterator>&) operator<(const reverse_iterator<_Iterator>& __x, ^ /usr/include/c++/4.8/bits/stl_iterator.h:297:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const std::reverse_iterator<_Iterator>' and '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ In file included from /usr/include/c++/4.8/bits/stl_algobase.h:67:0, from /usr/include/c++/4.8/bits/char_traits.h:39, from /usr/include/c++/4.8/ios:40, from /usr/include/c++/4.8/ostream:38, from /usr/include/c++/4.8/iostream:39, from suma5.cpp:1: /usr/include/c++/4.8/bits/stl_iterator.h:347:5: note: template<class _IteratorL, class _IteratorR> bool std::operator<(const std::reverse_iterator<_Iterator>&, const std::reverse_iterator<_IteratorR>&) operator<(const reverse_iterator<_IteratorL>& __x, ^ /usr/include/c++/4.8/bits/stl_iterator.h:347:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const std::reverse_iterator<_Iterator>' and '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ In file included from /usr/include/c++/4.8/bits/stl_algobase.h:67:0, from /usr/include/c++/4.8/bits/char_traits.h:39, from /usr/include/c++/4.8/ios:40, from /usr/include/c++/4.8/ostream:38, from /usr/include/c++/4.8/iostream:39, from suma5.cpp:1: /usr/include/c++/4.8/bits/stl_iterator.h:1055:5: note: template<class _IteratorL, class _IteratorR> bool std::operator<(const std::move_iterator<_Iterator>&, const std::move_iterator<_IteratorR>&) operator<(const move_iterator<_IteratorL>& __x, ^ /usr/include/c++/4.8/bits/stl_iterator.h:1055:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const std::move_iterator<_Iterator>' and '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ In file included from /usr/include/c++/4.8/bits/stl_algobase.h:67:0, from /usr/include/c++/4.8/bits/char_traits.h:39, from /usr/include/c++/4.8/ios:40, from /usr/include/c++/4.8/ostream:38, from /usr/include/c++/4.8/iostream:39, from suma5.cpp:1: /usr/include/c++/4.8/bits/stl_iterator.h:1061:5: note: template<class _Iterator> bool std::operator<(const std::move_iterator<_Iterator>&, const std::move_iterator<_Iterator>&) operator<(const move_iterator<_Iterator>& __x, ^ /usr/include/c++/4.8/bits/stl_iterator.h:1061:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const std::move_iterator<_Iterator>' and '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ In file included from /usr/include/c++/4.8/string:52:0, from /usr/include/c++/4.8/bits/locale_classes.h:40, from /usr/include/c++/4.8/bits/ios_base.h:41, from /usr/include/c++/4.8/ios:42, from /usr/include/c++/4.8/ostream:38, from /usr/include/c++/4.8/iostream:39, from suma5.cpp:1: /usr/include/c++/4.8/bits/basic_string.h:2569:5: note: template<class _CharT, class _Traits, class _Alloc> bool std::operator<(const std::basic_string<_CharT, _Traits, _Alloc>&, const std::basic_string<_CharT, _Traits, _Alloc>&) operator<(const basic_string<_CharT, _Traits, _Alloc>& __lhs, ^ /usr/include/c++/4.8/bits/basic_string.h:2569:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const std::basic_string<_CharT, _Traits, _Alloc>' and '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ In file included from /usr/include/c++/4.8/string:52:0, from /usr/include/c++/4.8/bits/locale_classes.h:40, from /usr/include/c++/4.8/bits/ios_base.h:41, from /usr/include/c++/4.8/ios:42, from /usr/include/c++/4.8/ostream:38, from /usr/include/c++/4.8/iostream:39, from suma5.cpp:1: /usr/include/c++/4.8/bits/basic_string.h:2581:5: note: template<class _CharT, class _Traits, class _Alloc> bool std::operator<(const std::basic_string<_CharT, _Traits, _Alloc>&, const _CharT*) operator<(const basic_string<_CharT, _Traits, _Alloc>& __lhs, ^ /usr/include/c++/4.8/bits/basic_string.h:2581:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const std::basic_string<_CharT, _Traits, _Alloc>' and '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ In file included from /usr/include/c++/4.8/string:52:0, from /usr/include/c++/4.8/bits/locale_classes.h:40, from /usr/include/c++/4.8/bits/ios_base.h:41, from /usr/include/c++/4.8/ios:42, from /usr/include/c++/4.8/ostream:38, from /usr/include/c++/4.8/iostream:39, from suma5.cpp:1: /usr/include/c++/4.8/bits/basic_string.h:2593:5: note: template<class _CharT, class _Traits, class _Alloc> bool std::operator<(const _CharT*, const std::basic_string<_CharT, _Traits, _Alloc>&) operator<(const _CharT* __lhs, ^ /usr/include/c++/4.8/bits/basic_string.h:2593:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const _CharT*' and 'int' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ In file included from /usr/include/c++/4.8/vector:64:0, from suma5.cpp:2: /usr/include/c++/4.8/bits/stl_vector.h:1421:5: note: template<class _Tp, class _Alloc> bool std::operator<(const std::vector<_Tp, _Alloc>&, const std::vector<_Tp, _Alloc>&) operator<(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y) ^ /usr/include/c++/4.8/bits/stl_vector.h:1421:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const std::vector<_Tp, _Alloc>' and '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ In file included from /usr/include/c++/4.8/tuple:39:0, from suma5.cpp:3: /usr/include/c++/4.8/array:238:5: note: template<class _Tp, unsigned int _Nm> bool std::operator<(const std::array<_Tp, _Nm>&, const std::array<_Tp, _Nm>&) operator<(const array<_Tp, _Nm>& __a, const array<_Tp, _Nm>& __b) ^ /usr/include/c++/4.8/array:238:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const std::array<_Tp, _Nm>' and '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ In file included from suma5.cpp:3:0: /usr/include/c++/4.8/tuple:824:5: note: template<class ... _TElements, class ... _UElements> constexpr bool std::operator<(const std::tuple<_Elements ...>&, const std::tuple<_Elements ...>&) operator<(const tuple<_TElements...>& __t, ^ /usr/include/c++/4.8/tuple:824:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const std::tuple<_Elements ...>' and '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ In file included from /usr/include/c++/4.8/bits/stl_algobase.h:67:0, from /usr/include/c++/4.8/bits/char_traits.h:39, from /usr/include/c++/4.8/ios:40, from /usr/include/c++/4.8/ostream:38, from /usr/include/c++/4.8/iostream:39, from suma5.cpp:1: /usr/include/c++/4.8/bits/stl_iterator.h:836:5: note: template<class _Iterator, class _Container> bool __gnu_cxx::operator<(const __gnu_cxx::__normal_iterator<_Iterator, _Container>&, const __gnu_cxx::__normal_iterator<_Iterator, _Container>&) operator<(const __normal_iterator<_Iterator, _Container>& __lhs, ^ /usr/include/c++/4.8/bits/stl_iterator.h:836:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const __gnu_cxx::__normal_iterator<_Iterator, _Container>' and '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ In file included from /usr/include/c++/4.8/bits/stl_algobase.h:67:0, from /usr/include/c++/4.8/bits/char_traits.h:39, from /usr/include/c++/4.8/ios:40, from /usr/include/c++/4.8/ostream:38, from /usr/include/c++/4.8/iostream:39, from suma5.cpp:1: /usr/include/c++/4.8/bits/stl_iterator.h:830:5: note: template<class _IteratorL, class _IteratorR, class _Container> bool __gnu_cxx::operator<(const __gnu_cxx::__normal_iterator<_IteratorL, _Container>&, const __gnu_cxx::__normal_iterator<_IteratorR, _Container>&) operator<(const __normal_iterator<_IteratorL, _Container>& __lhs, ^ /usr/include/c++/4.8/bits/stl_iterator.h:830:5: note: template argument deduction/substitution failed: suma5.cpp:63:144: note: mismatched types 'const __gnu_cxx::__normal_iterator<_IteratorL, _Container>' and '__gnu_cxx::__alloc_traits<std::allocator<int> >::value_type {aka int}' (new_cost == dp[k + 1][ni][nj] && level[k][i][j] < level[get<0>(par[k + 1][ni][nj])][get<1>(par[k + 1][ni][nj])])) { ^ suma5.cpp:65:52: error: converting to 'std::tuple<int, int>' from initializer list would use explicit constructor 'constexpr std::tuple<_T1, _T2>::tuple(_U1&&, _U2&&) [with _U1 = int&; _U2 = int&; <template-parameter-2-3> = void; _T1 = int; _T2 = int]' par[k + 1][ni][nj] = {i, j}; ^ suma5.cpp:95:37: error: 'reverse' was not declared in this scope reverse(drum.begin(), drum.end()); ^
www.pbinfo.ro permite evaluarea a două tipuri de probleme:
Problema Suma5 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.