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#include <iostream> 3a
using namespace std;

void selectionSort(int arr[], int n) {
    for (int i = 0; i < n - 1; i++) {
        int min_index = i;
        for (int j = i + 1; j < n; j++) {
            if (arr[j] < arr[min_index]) {
                min_index = j;
            }
        }
        swap(arr[min_index], arr[i]);
    }
}

int main() {
    int arr[] = {80, 15, 1, 45, 11};
    int n = sizeof(arr) / sizeof(arr[0]);

    cout << "Mang truoc khi sap xep: ";
    for (int i = 0; i < n; i++) {
        cout << arr[i] << " ";
    }

    selectionSort(arr, n);

    cout << "\nMang sau khi sap xep bang phuong phap chon truc tiep: ";
    for (int i = 0; i < n; i++) {
        cout << arr[i] << " ";
    }
    cout << endl;
    return 0;
}
3b
#include <iostream>
using namespace std;

void insertionSort(int arr[], int n) {
    for (int i = 1; i < n; i++) {
        int key = arr[i];
        int j = i - 1;

        while (j >= 0 && arr[j] > key) {
            arr[j + 1] = arr[j];
            j--;
        }
        arr[j + 1] = key;
    }
}

int main() {
    int arr[] = {80, 15, 1, 45, 11};
    int n = sizeof(arr) / sizeof(arr[0]);

    cout << "Mang truoc khi sap xep: ";
    for (int i = 0; i < n; i++) {
        cout << arr[i] << " ";
    }

    insertionSort(arr, n);

    cout << "\nMang sau khi sap xep bang phuong phap chen truc tiep: ";
    for (int i = 0; i < n; i++) {
        cout << arr[i] << " ";
    }
    cout << endl;
    return 0;
}
3c
#include <iostream>
using namespace std;

void bubbleSort(int arr[], int n) {
    for (int i = 0; i < n - 1; i++) {
        for (int j = 0; j < n - i - 1; j++) {
            if (arr[j] > arr[j + 1]) {
                swap(arr[j], arr[j + 1]);
            }
        }
    }
}

int main() {
    int arr[] = {80, 15, 1, 45, 11};
    int n = sizeof(arr) / sizeof(arr[0]);

    cout << "Mang truoc khi sap xep: ";
    for (int i = 0; i < n; i++) {
        cout << arr[i] << " ";
    }

    bubbleSort(arr, n);

    cout << "\nMang sau khi sap xep bang phuong phap doi cho truc tiep: ";
    for (int i = 0; i < n; i++) {
        cout << arr[i] << " ";
    }
    cout << endl;
    return 0;
}
3d#include <iostream>
using namespace std;

void push(int arr[], int n) {
    for (int i = 0; i < n; i++) {
        cout << "Nhap phan tu thu " << i << ": ";
        cin >> arr[i];
    }
}

void heapify(int arr[], int n, int i) {
    int largest = i;
    int left = 2 * i + 1;
    int right = 2 * i + 2;

    if (left < n && arr[left] > arr[largest]) {
        largest = left;
    }

    if (right < n && arr[right] > arr[largest]) {
        largest = right;
    }

    if (largest != i) {
        swap(arr[i], arr[largest]);
        heapify(arr, n, largest);
    }
}

void heapSort(int arr[], int n) {
    push(arr, n);

    for (int i = n / 2 - 1; i >= 0; i--) {
        heapify(arr, n, i);
    }

    for (int i = n - 1; i >= 0; i--) {
        swap(arr[0], arr[i]);
        heapify(arr, i, 0);
    }
}

int main() {
    int arr[] = {64, 25, 12, 22, 11};
    int n = sizeof(arr) / sizeof(arr[0]);

    cout << "Mang truoc khi sap xep: ";
    for (int i = 0; i < n; i++) {
        cout << arr[i] << " ";
    }

    heapSort(arr, n);

    cout << "\nMang sau khi sap xep bang phuong phap noi bot: ";
    for (int i = 0; i < n; i++) {
        cout << arr[i] << " ";
    }
    cout << endl;
    return 0;
}