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27 changes: 27 additions & 0 deletions Maths/CatalanNumber.cpp
Original file line number Diff line number Diff line change
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#include <iostream>
#include <vector>
using namespace std;

unsigned long long catalanDP(int n) {
vector<unsigned long long> catalan(n + 1, 0);

catalan[0] = 1;
catalan[1] = 1;

for (int i = 2; i <= n; i++) {
for (int j = 0; j < i; j++) {
catalan[i] += catalan[j] * catalan[i - j - 1];
}
}

return catalan[n];
}

int main() {
int n;
cout << "Enter the value of n to compute nth Catalan number: ";
cin >> n;

cout << "Catalan number C[" << n << "] = " << catalanDP(n) << endl;
return 0;
}