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| - Top 7 Greedy Algorithms interview |
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| - questions and answers in 2021. |
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| - Greedy Algorithms interview questions here 👉 |
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| - https://devinterview.io/data/greedyAlgorithms-interview-questions |
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| - 🔹 1. What is a Greedy Algorithm? Answer: We call algorithms greedy when they utilise the greedy property. The greedy property is: At that exact moment in time, what is the optimal choice to make?
Greedy algorithms are greedy. They do not look into the future to decide the global optimal solution. They are only concerned with the optimal solution locally. This means that the overall optimal solution may differ from the solution the greedy algorithm chooses. They never look backwards at what they've done to see if they could optimise globally. This is the main difference between Greedy Algorithms and Dynamic Programming. 🔹 2. What Are Greedy Algorithms Used For? Answer: Greedy algorithms are quick. A lot faster than the two other alternatives (Divide & Conquer, and Dynamic Programming). They're used because they're fast. Sometimes, Greedy algorithms give the global optimal solution every time. Some of these algorithms are: - Dijkstra's Algorithm
- Kruskal's algorithm
- Prim's algorithm
- Huffman trees
These algorithms are Greedy, and their Greedy solution gives the optimal solution. 🔹 3. What is the difference between Dynamic Programming and Greedy Algorithms? |
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🔹 4. What's the difference between Greedy and Heuristic algorithm? |
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🔹 5. Compare Greedy vs Divide & Conquer vs Dynamic Programming Algorithms |
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🔹 6. Is Dijkstra's algorithm a Greedy or Dynamic Programming algorithm? |
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🔹 7. Are there any proof to decide if Greedy approach will produce the best solution? |
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| - Thanks 🙌 for reading and good luck on your next tech interview! |
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| - Explore 3800+ dev interview question here 👉 |
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| 1 | +# ⚫ Greedy Algorithms in Tech Interviews 2024: 6 Must-Know Questions & Answers |
| 2 | + |
| 3 | +**Greedy Algorithms** make locally optimal choices at each step in the hope of finding a global optimum. They're effective for certain problems where this **local-to-global strategy** works, such as the coin change or activity selection problems. In coding interviews, they assess a candidate's ability to identify when a problem can be solved with a **greedy approach** and to implement efficient solutions. |
| 4 | + |
| 5 | +Check out our carefully selected list of **basic** and **advanced** Greedy Algorithms questions and answers to be well-prepared for your tech interviews in 2024. |
| 6 | + |
| 7 | + |
| 8 | + |
| 9 | +👉🏼 You can also find all answers here: [Devinterview.io - Greedy Algorithms](https://devinterview.io/data/greedyAlgorithms-interview-questions) |
| 10 | + |
| 11 | +--- |
| 12 | + |
| 13 | +## 🔹 1. What is a _Greedy Algorithm_? |
| 14 | + |
| 15 | +### Answer |
| 16 | + |
| 17 | +A **greedy algorithm** aims to solve optimization problems by making the **best local choice** at each step. While this often leads to an **optimal global solution**, it's not guaranteed in all cases. These algorithms are generally easier to implement and faster than other methods like Dynamic Programming but may not always yield the most accurate solution. |
| 18 | + |
| 19 | +### Key Features |
| 20 | +1. **Greedy-Choice Property**: Each step aims for a local optimum with the expectation that this will lead to a global optimum. |
| 21 | +2. **Irreversibility**: Once made, choices are not revisited. |
| 22 | +3. **Efficiency**: Greedy algorithms are usually faster, particularly for problems that don't require a globally optimal solution. |
| 23 | + |
| 24 | +### Example Algorithms |
| 25 | + |
| 26 | +#### Fractional Knapsack Problem |
| 27 | +Here, the goal is to maximize the value of items in a knapsack with a fixed capacity. The greedy strategy chooses items based on their **value-to-weight ratio**. |
| 28 | + |
| 29 | +```python |
| 30 | +def fractional_knapsack(items, capacity): |
| 31 | + items.sort(key=lambda x: x[1]/x[0], reverse=True) |
| 32 | + max_value = 0 |
| 33 | + knapsack = [] |
| 34 | + for item in items: |
| 35 | + if item[0] <= capacity: |
| 36 | + knapsack.append(item) |
| 37 | + capacity -= item[0] |
| 38 | + max_value += item[1] |
| 39 | + else: |
| 40 | + fraction = capacity / item[0] |
| 41 | + knapsack.append((item[0] * fraction, item[1] * fraction)) |
| 42 | + max_value += item[1] * fraction |
| 43 | + break |
| 44 | + return max_value, knapsack |
| 45 | + |
| 46 | +items = [(10, 60), (20, 100), (30, 120)] |
| 47 | +capacity = 50 |
| 48 | +print(fractional_knapsack(items, capacity)) |
| 49 | +``` |
| 50 | + |
| 51 | +#### Dijkstra's Shortest Path |
| 52 | +This algorithm **finds the shortest path** in a graph by selecting the vertex with the minimum distance at each step. |
| 53 | + |
| 54 | +```python |
| 55 | +import heapq |
| 56 | + |
| 57 | +def dijkstra(graph, start): |
| 58 | + distances = {node: float('inf') for node in graph} |
| 59 | + distances[start] = 0 |
| 60 | + priority_queue = [(0, start)] |
| 61 | + |
| 62 | + while priority_queue: |
| 63 | + current_distance, current_node = heapq.heappop(priority_queue) |
| 64 | + if current_distance > distances[current_node]: |
| 65 | + continue |
| 66 | + for neighbour, weight in graph[current_node].items(): |
| 67 | + distance = current_distance + weight |
| 68 | + if distance < distances[neighbour]: |
| 69 | + distances[neighbour] = distance |
| 70 | + heapq.heappush(priority_queue, (distance, neighbour)) |
| 71 | + return distances |
| 72 | + |
| 73 | +graph = {'A': {'B': 1, 'C': 4},'B': {'A': 1, 'C': 2, 'D': 5},'C': {'A': 4, 'B': 2, 'D': 1},'D': {'B': 5, 'C': 1}} |
| 74 | +print(dijkstra(graph, 'A')) |
| 75 | +``` |
| 76 | + |
| 77 | +In summary, **greedy algorithms** offer a fast and intuitive approach to optimization problems, although they may sacrifice optimal solutions for speed. |
| 78 | + |
| 79 | +--- |
| 80 | + |
| 81 | +## 🔹 2. What are _Greedy Algorithms_ used for? |
| 82 | + |
| 83 | +### Answer |
| 84 | + |
| 85 | +**Greedy algorithms** are often the algorithm of choice for problems where the optimal solution can be built incrementally and **local decisions** lead to a **globally optimal solution**. |
| 86 | + |
| 87 | +### Applications of Greedy Algorithms |
| 88 | + |
| 89 | +#### Shortest Path Algorithms |
| 90 | +- **Dijkstra's Algorithm**: Finds the shortest path from a source vertex to all vertices in a weighted graph. |
| 91 | + |
| 92 | + Use-Case: Navigation systems. |
| 93 | + |
| 94 | +#### Minimum Spanning Trees |
| 95 | +- **Kruskal's Algorithm**: Finds the minimum spanning tree in a weighted graph by sorting edges and choosing the smallest edge without a cycle. |
| 96 | + |
| 97 | + Use-Case: LAN setup. |
| 98 | + |
| 99 | +- **Prim's Algorithm**: Starts from a random vertex and selects the smallest edge connecting to the growing tree. |
| 100 | + |
| 101 | + Use-Case: Superior for dense graphs. |
| 102 | + |
| 103 | +#### Data Compression |
| 104 | +- **Huffman Coding**: Used for data compression by building a binary tree with frequent characters closer to the root. |
| 105 | + |
| 106 | + Use-Case: ZIP compression. |
| 107 | + |
| 108 | +#### Job Scheduling |
| 109 | +- **Interval Scheduling**: Selects the maximum number of non-overlapping intervals or tasks. |
| 110 | + |
| 111 | + Use-Case: Classroom or conference room organization. |
| 112 | + |
| 113 | +#### Set Cover |
| 114 | +- **Set Cover Problem**: Finds the smallest set collection covering all elements in a universal set. |
| 115 | + |
| 116 | + Use-Case: Efficient broadcasting in networks. |
| 117 | + |
| 118 | +#### Knapsack Problem |
| 119 | +- **Fractional Knapsack**: A variant that allows parts of items to be taken, with greedy methods giving an optimal solution. |
| 120 | + |
| 121 | + Use-Case: Resource distribution with partial allocations. |
| 122 | + |
| 123 | +#### Other Domains |
| 124 | +- **Text Justification** and **Cache Management**. |
| 125 | + |
| 126 | +--- |
| 127 | + |
| 128 | +## 🔹 3. Compare _Greedy_ vs _Divide & Conquer_ vs _Dynamic Programming_ algorithms. |
| 129 | + |
| 130 | +### Answer |
| 131 | + |
| 132 | +Let's explore how **Greedy**, **Divide & Conquer**, and **Dynamic Programming** algorithms differ across key metrics such as optimality, computational complexity, and memory usage. |
| 133 | + |
| 134 | +### Key Metrics |
| 135 | + |
| 136 | +- **Optimality**: Greedy may not guarantee optimality, while both Divide & Conquer and Dynamic Programming do. |
| 137 | +- **Computational Complexity**: Greedy is generally the fastest; Divide & Conquer varies, and Dynamic Programming can be slower but more accurate. |
| 138 | +- **Memory Usage**: Greedy is most memory-efficient, Divide & Conquer is moderate, and Dynamic Programming can be memory-intensive due to caching. |
| 139 | + |
| 140 | +### Greedy Algorithms |
| 141 | + |
| 142 | +Choose Greedy algorithms when a **local** best choice leads to a **global** best choice. |
| 143 | + |
| 144 | +#### Use Cases |
| 145 | +- **Shortest Path Algorithms**: Dijkstra's Algorithm for finding the shortest path in a weighted graph. |
| 146 | +- **Text Compression**: Huffman Coding for compressing text files. |
| 147 | +- **Network Routing**: For minimizing delay or cost in computer networks. |
| 148 | +- **Task Scheduling**: For scheduling tasks under specific constraints to optimize for time or cost. |
| 149 | + |
| 150 | +### Divide & Conquer Algorithms |
| 151 | + |
| 152 | +Opt for Divide & Conquer when you can solve **independent subproblems** and combine them for the **global optimum**. |
| 153 | + |
| 154 | +#### Use Cases |
| 155 | + |
| 156 | +- **Sorting Algorithms**: Quick sort and Merge sort for efficient sorting of lists or arrays. |
| 157 | +- **Search Algorithms**: Binary search for finding an element in a sorted list. |
| 158 | +- **Matrix Multiplication**: Strassen's algorithm for faster matrix multiplication. |
| 159 | +- **Computational Geometry**: Algorithms for solving geometric problems like finding the closest pair of points. |
| 160 | + |
| 161 | +### Dynamic Programming Algorithms |
| 162 | + |
| 163 | +Choose Dynamic Programming when overlapping subproblems can be **solved once and reused**. |
| 164 | + |
| 165 | +#### Use Cases |
| 166 | + |
| 167 | +- **Optimal Path Problems**: Finding the most cost-efficient path in a grid or graph, such as in the Floyd-Warshall algorithm. |
| 168 | +- **Text Comparison**: Algorithms like the Levenshtein distance for spell checking and DNA sequence alignment. |
| 169 | +- **Resource Allocation**: Knapsack problem for optimal resource allocation under constraints. |
| 170 | +- **Game Theory**: Minimax algorithm for decision-making in two-player games. |
| 171 | + |
| 172 | +--- |
| 173 | + |
| 174 | +## 🔹 4. Is _Dijkstra's_ algorithm a _Greedy_ or _Dynamic Programming_ algorithm? |
| 175 | + |
| 176 | +### Answer |
| 177 | + |
| 178 | +**Dijkstra's algorithm** utilizes a combination of greedy and dynamic programming techniques. |
| 179 | + |
| 180 | +### Greedy Component: Immediate Best Choice |
| 181 | +The algorithm selects the closest neighboring vertex at each step, reflecting the greedy approach of optimizing for immediate gains. |
| 182 | + |
| 183 | +#### Example |
| 184 | +Starting at vertex A, the algorithm picks the nearest vertex based on current known distances. |
| 185 | + |
| 186 | + |
| 187 | + |
| 188 | +### Dynamic Programming Component: Global Optimization |
| 189 | +Dijkstra's algorithm updates vertex distances based on previously calculated shortest paths, embodying the dynamic programming principle of optimal substructure. |
| 190 | + |
| 191 | +#### Example |
| 192 | +Initially, all vertices have infinite distance from the source, A. After the first iteration, distances to neighbors are updated, and the closest one is chosen for the next step. |
| 193 | + |
| 194 | +```plaintext |
| 195 | +Initial State: A: 0, B: inf, C: inf, D: inf, E: inf |
| 196 | +After first iteration: A: 0, B: 2, C: 3, D: 8, E: inf |
| 197 | +``` |
| 198 | + |
| 199 | +### Primarily Dynamic Programming |
| 200 | +Despite combining both strategies, the algorithm aligns more closely with dynamic programming for several reasons: |
| 201 | + |
| 202 | +1. **Guaranteed Optimality**: It provides the best solution, a hallmark of dynamic programming. |
| 203 | +2. **Comprehensive Exploration**: The algorithm reviews all vertices to ensure the shortest path. |
| 204 | + |
| 205 | +--- |
| 206 | +## 🔹 5. What is the difference between _Greedy_ and _Heuristic_ algorithms? |
| 207 | + |
| 208 | +### Answer |
| 209 | + |
| 210 | +👉🏼 Check out all 6 answers here: [Devinterview.io - Greedy Algorithms](https://devinterview.io/data/greedyAlgorithms-interview-questions) |
| 211 | + |
| 212 | +--- |
| 213 | + |
| 214 | +## 🔹 6. Is there a way to _Mathematically Prove_ that a _Greedy Algorithm_ will yield the _Optimal Solution_? |
| 215 | + |
| 216 | +### Answer |
| 217 | + |
| 218 | +👉🏼 Check out all 6 answers here: [Devinterview.io - Greedy Algorithms](https://devinterview.io/data/greedyAlgorithms-interview-questions) |
| 219 | + |
| 220 | +--- |
| 221 | + |
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