#include <iostream>
#include <vector>
#include <set>
#include <stack>
using namespace std;
// Function to compute the epsilon closure of a state
set<int> epsilonClosure(vector<vector<int>> &nfa, int state) {
stack<int> s;
set<int> visited;
s.push(state);
visited.insert(state);
while (!s.empty()) {
int curr = s.top();
s.pop();
for (int i = 0; i < nfa[curr].size(); i++) {
int next = nfa[curr][i];
if (next == -1 || visited.count(next)) continue;
visited.insert(next);
s.push(next);
}
}
return visited;
}
// Function to compute the epsilon closure of a set of states
set<int> epsilonClosure(vector<vector<int>> &nfa, set<int> states) {
set<int> result;
for (auto state : states) {
set<int> closure = epsilonClosure(nfa, state);
result.insert(closure.begin(), closure.end());
}
return result;
}
int main() {
// Example NFA with epsilon moves
vector<vector<int>> nfa = {
{1, 2, -1},
{3, -1},
{4, -1},
{5, 6},
{7, -1},
{8, -1},
{9, -1},
{10, 11},
{12, -1},
{13, -1},
{14, -1},
{-1},
};
// Compute the epsilon closure of state 0
set<int> closure = epsilonClosure(nfa, 0);
// Print the epsilon closure
cout << "Epsilon closure of state 0: { ";
for (auto state : closure) {
cout << state << " ";
}
cout << "}" << endl;
// Compute the epsilon closure of states {0, 1, 2}
set<int> states = {0, 1, 2};
closure = epsilonClosure(nfa, states);
// Print the epsilon closure
cout << "Epsilon closure of states {0, 1, 2}: { ";
for (auto state : closure) {
cout << state << " ";
}
cout << "}" << endl;
return 0;
}
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{
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getline (cin, name);
cout << "Hello " << name;
return 0;
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C++ is a widely used middle-level programming language.
When ever you want to perform a set of operations based on a condition If-Else is used.
if(conditional-expression) {
//code
}
else {
//code
}
You can also use if-else for nested Ifs and If-Else-If ladder when multiple conditions are to be performed on a single variable.
Switch is an alternative to If-Else-If ladder.
switch(conditional-expression){
case value1:
// code
break; // optional
case value2:
// code
break; // optional
......
default:
code to be executed when all the above cases are not matched;
}
For loop is used to iterate a set of statements based on a condition.
for(Initialization; Condition; Increment/decrement){
//code
}
While is also used to iterate a set of statements based on a condition. Usually while is preferred when number of iterations are not known in advance.
while (condition) {
// code
}
Do-while is also used to iterate a set of statements based on a condition. It is mostly used when you need to execute the statements atleast once.
do {
// code
} while (condition);
Function is a sub-routine which contains set of statements. Usually functions are written when multiple calls are required to same set of statements which increases re-usuability and modularity. Function gets run only when it is called.
return_type function_name(parameters);
function_name (parameters)
return_type function_name(parameters) {
// code
}