The computer op erates on a single stack of sets, which is initially empty. After each op eration, the
Cardinality of the topmost set on the stack is output. The cardinality of a setSis denoted| S| and is the
Number of elements inS. The instruction set of the Setstack Alpha is PUSH, DUP, UNION, INTERSECT,
and ADD.
•Push would push the empty set{} On the stack.
•DUP would duplicate the topmost set (pop the stack, and then push this set on the stack twice).
•Union would pops the stack twice and then push the union of the sets on the stack.
•INTERSECT'll pops the stack twice and then push the intersection of the both sets on the stack.
•Add would pop the stack twice, add the first set to the second one, and then push the resulting set
On the stack.
For illustration purposes, assume this topmost element of the stack is
A={{} , {{}}}
And that the next one are
B={{} , {{{}}}}
For these sets, we have| A| = 2 and| B| = 2. Then:
•UNION would result in the set{{},{{}},{{{}}}}. The output is 3.
•INTERSECT would result in the set{{}}. The output is 1.
•ADD would result in the set{{},{{{}}},{{},{{}}}}. The output is 3.
Input
An integer 0≤T≤5 on the first line gives the cardinality of the set of test cases. The first line of each
Test case contains the number of operations 0≤N≤Follow then.NLines each containing one of
The five commands. It is guaranteed, the Setstack computer can execute all the commands in the
Sequence without ever popping an empty stack.
Output
For each operation specified in the input, there'll be is one line of output consisting of a single integer.
This integer is the cardinality of the topmost element of the stack after the corresponding command
Has executed. After the test case there'll be a line with ' * * * ' (three asterisks).
Sample Input
2
9
PUSH
DUP
ADD
PUSH
ADD
DUP
ADD
DUP
UNION
5
PUSH
PUSH
ADD
PUSH
INTERSECT
Sample Output
0
0
1
0
1
1
2
2
2
***
0
0
1
0
0
***
1 //by Lyltim2 //2015.4.243 4#include <iostream>5#include <Set>6#include <stack>7#include <map>8#include <vector>9#include <algorithm>Ten One using namespacestd; A - usingSet =Set<int>; -Map<set,int>Idcache; theVector<set>Setcache; - - intID (SetSet) { - if(Idcache.count (Set)) + returnidcache[Set]; -Setcache.push_back (Set); + returnidcache[Set] = Setcache.size ()-1; A } at - intMain () { - intt, N; -stack<int>s; -CIN >>T; - for(inti =0; I < T; i++) { inCIN >>N; - for(intj =0; J < N; J + +) { to stringop; +CIN >>op; - if(op[0] =='P') the S.push (ID (Set ())); * Else if(op[0] =='D') $ S.push (S.top ());Panax Notoginseng Else { -Set S1 =setcache[s.top ()]; S.pop (); theSet s2 =setcache[s.top ()]; S.pop (); + Set Tmpset; A if(op[0] =='U') { the set_union (S1.begin (), S1.end (), S2.begin (), S2.end (), Inserter (Tmpset, Tmpset.begin ())); + S.push (ID (Tmpset)); - } $ Else if(op[0] =='I') { $ set_intersection (S1.begin (), S1.end (), S2.begin (), S2.end (), Inserter (Tmpset, Tmpset.begin ())); - S.push (ID (Tmpset)); - } the Else if(op[0] =='A'){ - S2.insert (ID (S1));Wuyi s.push (ID (S2)); the } - } Wucout << setcache[s.top ()].size () <<Endl; - } Aboutcout <<"***"<<Endl; $ } -}
Uva12096-the Setstack Computer