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62 changes: 62 additions & 0 deletions C++/MEX.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,62 @@

#include <bits/stdc++.h>
using namespace std;

#define MAXN 100001

void constructMEX(int arr[], int N)
{

int hash[MAXN] = { 0 };


for (int i = 0; i < N; i++) {

hash[arr[i]] = 1;
}


int MexOfArr;

// Find MEX of arr[]
for (int i = 1; i < MAXN; i++) {
if (hash[i] == 0) {
MexOfArr = i;
break;
}
}

// Stores MEX for all indices
int B[N];

// Traverse the given array
for (int i = 0; i < N; i++) {

// Update MEX
if (arr[i] < MexOfArr)
B[i] = arr[i];

// MEX default
else
B[i] = MexOfArr;
}

// Print the array B
for (int i = 0; i < N; i++)
cout << B[i] << ' ';
}

// Driver Code
int main()
{
// Given array
int arr[] = { 2, 1, 5, 3 };

// Given size
int N = sizeof(arr)
/ sizeof(arr[0]);

// Function call
constructMEX(arr, N);
return 0;
}
102 changes: 102 additions & 0 deletions C++/hauff.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,102 @@


#include <bits/stdc++.h>
using namespace std;

// A Huffman tree node
struct MinHeapNode {

// One of the input characters
char data;

// Frequency of the character
unsigned freq;

// Left and right child
MinHeapNode *left, *right;

MinHeapNode(char data, unsigned freq)

{

left = right = NULL;
this->data = data;
this->freq = freq;
}
};

// For comparison of
// two heap nodes (needed in min heap)
struct compare {

bool operator()(MinHeapNode* l, MinHeapNode* r)

{
return (l->freq > r->freq);
}
};

// Prints huffman codes from
// the root of Huffman Tree.
void printCodes(struct MinHeapNode* root, string str)
{

if (!root)
return;

if (root->data != '$')
cout << root->data << ": " << str << "\n";

printCodes(root->left, str + "0");
printCodes(root->right, str + "1");
}

// The main function that builds a Huffman Tree and
// print codes by traversing the built Huffman Tree
void HuffmanCodes(char data[], int freq[], int size)
{
struct MinHeapNode *left, *right, *top;

// Create a min heap & inserts all characters of data[]
priority_queue<MinHeapNode*, vector<MinHeapNode*>, compare> minHeap;

for (int i = 0; i < size; ++i)
minHeap.push(new MinHeapNode(data[i], freq[i]));

// Iterate while size of heap doesn't become 1
while (minHeap.size() != 1) {

// Extract the two minimum
// freq items from min heap
left = minHeap.top();
minHeap.pop();

right = minHeap.top();
minHeap.pop();

top = new MinHeapNode('$', left->freq + right->freq);

top->left = left;
top->right = right;

minHeap.push(top);
}

// Print Huffman codes using
// the Huffman tree built above
printCodes(minHeap.top(), "");
}

// Driver Code
int main()
{

char arr[] = { 'a', 'b', 'c', 'd', 'e', 'f' };
int freq[] = { 5, 9, 12, 13, 16, 45 };

int size = sizeof(arr) / sizeof(arr[0]);

HuffmanCodes(arr, freq, size);

return 0;
}