From aa26648bee3c27d43165b7f1d086954e83226a5a Mon Sep 17 00:00:00 2001 From: jhuynh06 <111946833+jhuynh06@users.noreply.github.com> Date: Fri, 28 Oct 2022 22:56:35 -0700 Subject: [PATCH 1/4] Update README.md --- .../Longest Common Subsequence/README.md | 59 ------------------- 1 file changed, 59 deletions(-) diff --git a/Algorithms/Dynamic Programming/Longest Common Subsequence/README.md b/Algorithms/Dynamic Programming/Longest Common Subsequence/README.md index 57fc46ea..c5724663 100644 --- a/Algorithms/Dynamic Programming/Longest Common Subsequence/README.md +++ b/Algorithms/Dynamic Programming/Longest Common Subsequence/README.md @@ -56,7 +56,6 @@ else ## Implementation: * [C](#c) -* [C++](#cpp) * [Python](#python) * [C#](#cSharp) @@ -127,64 +126,6 @@ int main() { ``` -## C++ - -```cpp -// C++ Program for longest common subsequence - -#include -using namespace std; - -void lcsAlgo(char *S1, char *S2, int m, int n) { - int LCS_table[m + 1][n + 1]; - - - // Building the mtrix in bottom-up way - for (int i = 0; i <= m; i++) { - for (int j = 0; j <= n; j++) { - if (i == 0 || j == 0) - LCS_table[i][j] = 0; - else if (S1[i - 1] == S2[j - 1]) - LCS_table[i][j] = LCS_table[i - 1][j - 1] + 1; - else - LCS_table[i][j] = max(LCS_table[i - 1][j], LCS_table[i][j - 1]); - } - } - - int index = LCS_table[m][n]; - char lcsAlgo[index + 1]; - lcsAlgo[index] = '\0'; - - int i = m, j = n; - while (i > 0 && j > 0) { - if (S1[i - 1] == S2[j - 1]) { - lcsAlgo[index - 1] = S1[i - 1]; - i--; - j--; - index--; - } - - else if (LCS_table[i - 1][j] > LCS_table[i][j - 1]) - i--; - else - j--; - } - - // Printing the sub sequences - cout << "S1 : " << S1 << "\nS2 : " << S2 << "\nLCS: " << lcsAlgo << "\n"; -} - -int main() { - char S1[] = "ACDABCD"; - char S2[] = "ADBCA"; - int m = strlen(S1); - int n = strlen(S2); - - lcsAlgo(S1, S2, m, n); -} - -``` - ## Python ```python From cca53dc166920df0d026894b36680eb7358b9722 Mon Sep 17 00:00:00 2001 From: jhuynh06 <111946833+jhuynh06@users.noreply.github.com> Date: Sat, 29 Oct 2022 01:05:21 -0700 Subject: [PATCH 2/4] Revert "Update README.md" --- .../Longest Common Subsequence/README.md | 59 +++++++++++++++++++ 1 file changed, 59 insertions(+) diff --git a/Algorithms/Dynamic Programming/Longest Common Subsequence/README.md b/Algorithms/Dynamic Programming/Longest Common Subsequence/README.md index c5724663..57fc46ea 100644 --- a/Algorithms/Dynamic Programming/Longest Common Subsequence/README.md +++ b/Algorithms/Dynamic Programming/Longest Common Subsequence/README.md @@ -56,6 +56,7 @@ else ## Implementation: * [C](#c) +* [C++](#cpp) * [Python](#python) * [C#](#cSharp) @@ -126,6 +127,64 @@ int main() { ``` +## C++ + +```cpp +// C++ Program for longest common subsequence + +#include +using namespace std; + +void lcsAlgo(char *S1, char *S2, int m, int n) { + int LCS_table[m + 1][n + 1]; + + + // Building the mtrix in bottom-up way + for (int i = 0; i <= m; i++) { + for (int j = 0; j <= n; j++) { + if (i == 0 || j == 0) + LCS_table[i][j] = 0; + else if (S1[i - 1] == S2[j - 1]) + LCS_table[i][j] = LCS_table[i - 1][j - 1] + 1; + else + LCS_table[i][j] = max(LCS_table[i - 1][j], LCS_table[i][j - 1]); + } + } + + int index = LCS_table[m][n]; + char lcsAlgo[index + 1]; + lcsAlgo[index] = '\0'; + + int i = m, j = n; + while (i > 0 && j > 0) { + if (S1[i - 1] == S2[j - 1]) { + lcsAlgo[index - 1] = S1[i - 1]; + i--; + j--; + index--; + } + + else if (LCS_table[i - 1][j] > LCS_table[i][j - 1]) + i--; + else + j--; + } + + // Printing the sub sequences + cout << "S1 : " << S1 << "\nS2 : " << S2 << "\nLCS: " << lcsAlgo << "\n"; +} + +int main() { + char S1[] = "ACDABCD"; + char S2[] = "ADBCA"; + int m = strlen(S1); + int n = strlen(S2); + + lcsAlgo(S1, S2, m, n); +} + +``` + ## Python ```python From f85f828ed53ea7a636385fbcf7c958045513efc3 Mon Sep 17 00:00:00 2001 From: jhuynh06 <111946833+jhuynh06@users.noreply.github.com> Date: Sat, 29 Oct 2022 01:56:49 -0700 Subject: [PATCH 3/4] Update readme.md --- .../Huffman Coding Algorithm/readme.md | 186 ------------------ 1 file changed, 186 deletions(-) diff --git a/Algorithms/Greedy Algorithm/Huffman Coding Algorithm/readme.md b/Algorithms/Greedy Algorithm/Huffman Coding Algorithm/readme.md index 7244a568..9f1af528 100644 --- a/Algorithms/Greedy Algorithm/Huffman Coding Algorithm/readme.md +++ b/Algorithms/Greedy Algorithm/Huffman Coding Algorithm/readme.md @@ -46,7 +46,6 @@ Extracting minimum frequency from the priority queue takes place 2*(n-1) times a ## Implementations * [C++](#cpp) -* [C](#c) * [Java](#java) * [Python](#python) @@ -234,191 +233,6 @@ int main() { } ``` -### C -```c -// Huffman Coding in C - -#include -#include - -#define MAX_TREE_HT 50 - -struct MinHNode { - char item; - unsigned freq; - struct MinHNode *left, *right; -}; - -struct MinHeap { - unsigned size; - unsigned capacity; - struct MinHNode **array; -}; - -// Create nodes -struct MinHNode *newNode(char item, unsigned freq) { - struct MinHNode *temp = (struct MinHNode *)malloc(sizeof(struct MinHNode)); - - temp->left = temp->right = NULL; - temp->item = item; - temp->freq = freq; - - return temp; -} - -// Create min heap -struct MinHeap *createMinH(unsigned capacity) { - struct MinHeap *minHeap = (struct MinHeap *)malloc(sizeof(struct MinHeap)); - - minHeap->size = 0; - - minHeap->capacity = capacity; - - minHeap->array = (struct MinHNode **)malloc(minHeap->capacity * sizeof(struct MinHNode *)); - return minHeap; -} - -// Function to swap -void swapMinHNode(struct MinHNode **a, struct MinHNode **b) { - struct MinHNode *t = *a; - *a = *b; - *b = t; -} - -// Heapify -void minHeapify(struct MinHeap *minHeap, int idx) { - int smallest = idx; - int left = 2 * idx + 1; - int right = 2 * idx + 2; - - if (left < minHeap->size && minHeap->array[left]->freq < minHeap->array[smallest]->freq) - smallest = left; - - if (right < minHeap->size && minHeap->array[right]->freq < minHeap->array[smallest]->freq) - smallest = right; - - if (smallest != idx) { - swapMinHNode(&minHeap->array[smallest], &minHeap->array[idx]); - minHeapify(minHeap, smallest); - } -} - -// Check if size if 1 -int checkSizeOne(struct MinHeap *minHeap) { - return (minHeap->size == 1); -} - -// Extract min -struct MinHNode *extractMin(struct MinHeap *minHeap) { - struct MinHNode *temp = minHeap->array[0]; - minHeap->array[0] = minHeap->array[minHeap->size - 1]; - - --minHeap->size; - minHeapify(minHeap, 0); - - return temp; -} - -// Insertion function -void insertMinHeap(struct MinHeap *minHeap, struct MinHNode *minHeapNode) { - ++minHeap->size; - int i = minHeap->size - 1; - - while (i && minHeapNode->freq < minHeap->array[(i - 1) / 2]->freq) { - minHeap->array[i] = minHeap->array[(i - 1) / 2]; - i = (i - 1) / 2; - } - minHeap->array[i] = minHeapNode; -} - -void buildMinHeap(struct MinHeap *minHeap) { - int n = minHeap->size - 1; - int i; - - for (i = (n - 1) / 2; i >= 0; --i) - minHeapify(minHeap, i); -} - -int isLeaf(struct MinHNode *root) { - return !(root->left) && !(root->right); -} - -struct MinHeap *createAndBuildMinHeap(char item[], int freq[], int size) { - struct MinHeap *minHeap = createMinH(size); - - for (int i = 0; i < size; ++i) - minHeap->array[i] = newNode(item[i], freq[i]); - - minHeap->size = size; - buildMinHeap(minHeap); - - return minHeap; -} - -struct MinHNode *buildHuffmanTree(char item[], int freq[], int size) { - struct MinHNode *left, *right, *top; - struct MinHeap *minHeap = createAndBuildMinHeap(item, freq, size); - - while (!checkSizeOne(minHeap)) { - left = extractMin(minHeap); - right = extractMin(minHeap); - - top = newNode('$', left->freq + right->freq); - - top->left = left; - top->right = right; - - insertMinHeap(minHeap, top); - } - return extractMin(minHeap); -} - -void printHCodes(struct MinHNode *root, int arr[], int top) { - if (root->left) { - arr[top] = 0; - printHCodes(root->left, arr, top + 1); - } - if (root->right) { - arr[top] = 1; - printHCodes(root->right, arr, top + 1); - } - if (isLeaf(root)) { - printf(" %c | ", root->item); - printArray(arr, top); - } -} - -// Wrapper function -void HuffmanCodes(char item[], int freq[], int size) { - struct MinHNode *root = buildHuffmanTree(item, freq, size); - - int arr[MAX_TREE_HT], top = 0; - - printHCodes(root, arr, top); -} - -// Print the array -void printArray(int arr[], int n) { - int i; - for (i = 0; i < n; ++i) - printf("%d", arr[i]); - - printf("\n"); -} - -int main() { - char arr[] = {'A', 'B', 'C', 'D'}; - int freq[] = {5, 1, 6, 3}; - - int size = sizeof(arr) / sizeof(arr[0]); - - printf(" Char | Huffman code "); - printf("\n--------------------\n"); - - HuffmanCodes(arr, freq, size); -} -``` - ### Java ```java // Huffman Coding in Java From e35c19c40554d1fdab45bd99de7688b1e95f6f2d Mon Sep 17 00:00:00 2001 From: Sifat Date: Sat, 29 Oct 2022 15:42:58 +0600 Subject: [PATCH 4/4] Fix c code --- .../Huffman Coding Algorithm/readme.md | 145 ++++++++++++++++++ 1 file changed, 145 insertions(+) diff --git a/Algorithms/Greedy Algorithm/Huffman Coding Algorithm/readme.md b/Algorithms/Greedy Algorithm/Huffman Coding Algorithm/readme.md index 9f1af528..26f9d139 100644 --- a/Algorithms/Greedy Algorithm/Huffman Coding Algorithm/readme.md +++ b/Algorithms/Greedy Algorithm/Huffman Coding Algorithm/readme.md @@ -45,10 +45,155 @@ The time complexity for encoding each unique character based on its frequency is Extracting minimum frequency from the priority queue takes place 2*(n-1) times and its complexity is O(log n). Thus the overall complexity is O(nlog n). ## Implementations +* [C](#c) * [C++](#cpp) * [Java](#java) * [Python](#python) +### C +``` +#include +#include +#define MAX_TREE_HT 50 + +// Print the array +void printArray(int arr[], int n) { + int i; + for (i = 0; i < n; ++i) + printf("%d", arr[i]); + printf("\n"); +} + +struct MinHNode { + char item; + unsigned freq; + struct MinHNode *left, *right; +}; +struct MinHeap { + unsigned size; + unsigned capacity; + struct MinHNode **array; +}; +// Create nodes +struct MinHNode *newNode(char item, unsigned freq) { + struct MinHNode *temp = (struct MinHNode *)malloc(sizeof(struct MinHNode)); + temp->left = temp->right = NULL; + temp->item = item; + temp->freq = freq; + return temp; +} +// Create min heap +struct MinHeap *createMinH(unsigned capacity) { + struct MinHeap *minHeap = (struct MinHeap *)malloc(sizeof(struct MinHeap)); + minHeap->size = 0; + minHeap->capacity = capacity; + minHeap->array = (struct MinHNode **)malloc(minHeap->capacity * sizeof(struct MinHNode *)); + return minHeap; +} +// Function to swap +void swapMinHNode(struct MinHNode **a, struct MinHNode **b) { + struct MinHNode *t = *a; + *a = *b; + *b = t; +} +// Heapify +void minHeapify(struct MinHeap *minHeap, int idx) { + int smallest = idx; + int left = 2 * idx + 1; + int right = 2 * idx + 2; + if (left < minHeap->size && minHeap->array[left]->freq < minHeap->array[smallest]->freq) + smallest = left; + if (right < minHeap->size && minHeap->array[right]->freq < minHeap->array[smallest]->freq) + smallest = right; + if (smallest != idx) { + swapMinHNode(&minHeap->array[smallest], &minHeap->array[idx]); + minHeapify(minHeap, smallest); + } +} +// Check if size if 1 +int checkSizeOne(struct MinHeap *minHeap) { + return (minHeap->size == 1); +} +// Extract min +struct MinHNode *extractMin(struct MinHeap *minHeap) { + struct MinHNode *temp = minHeap->array[0]; + minHeap->array[0] = minHeap->array[minHeap->size - 1]; + --minHeap->size; + minHeapify(minHeap, 0); + return temp; +} +// Insertion function +void insertMinHeap(struct MinHeap *minHeap, struct MinHNode *minHeapNode) { + ++minHeap->size; + int i = minHeap->size - 1; + while (i && minHeapNode->freq < minHeap->array[(i - 1) / 2]->freq) { + minHeap->array[i] = minHeap->array[(i - 1) / 2]; + i = (i - 1) / 2; + } + minHeap->array[i] = minHeapNode; +} +void buildMinHeap(struct MinHeap *minHeap) { + int n = minHeap->size - 1; + int i; + for (i = (n - 1) / 2; i >= 0; --i) + minHeapify(minHeap, i); +} +int isLeaf(struct MinHNode *root) { + return !(root->left) && !(root->right); +} +struct MinHeap *createAndBuildMinHeap(char item[], int freq[], int size) { + struct MinHeap *minHeap = createMinH(size); + for (int i = 0; i < size; ++i) + minHeap->array[i] = newNode(item[i], freq[i]); + minHeap->size = size; + buildMinHeap(minHeap); + return minHeap; +} +struct MinHNode *buildHuffmanTree(char item[], int freq[], int size) { + struct MinHNode *left, *right, *top; + struct MinHeap *minHeap = createAndBuildMinHeap(item, freq, size); + while (!checkSizeOne(minHeap)) { + left = extractMin(minHeap); + right = extractMin(minHeap); + top = newNode('$', left->freq + right->freq); + top->left = left; + top->right = right; + insertMinHeap(minHeap, top); + } + return extractMin(minHeap); +} +void printHCodes(struct MinHNode *root, int arr[], int top) { + if (root->left) { + arr[top] = 0; + printHCodes(root->left, arr, top + 1); + } + if (root->right) { + arr[top] = 1; + printHCodes(root->right, arr, top + 1); + } + if (isLeaf(root)) { + printf(" %c | ", root->item); + printArray(arr, top); + } +} +// Wrapper function +void HuffmanCodes(char item[], int freq[], int size) { + struct MinHNode *root = buildHuffmanTree(item, freq, size); + int arr[MAX_TREE_HT], top = 0; + printHCodes(root, arr, top); +} + + +int main() { + char arr[] = {'A', 'B', 'C', 'D'}; + int freq[] = {5, 1, 6, 3}; + int size = sizeof(arr) / sizeof(arr[0]); + printf(" Char | Huffman code "); + printf("\n--------------------\n"); + HuffmanCodes(arr, freq, size); +} +``` + ### CPP ```cpp // Huffman Coding in C++