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In the previous page, we explored when linked lists excel. Now we turn to their complement: the scenarios where arrays are not just adequate but definitively superior.
Arrays are the default data structure in nearly every programming language for good reason. Their design aligns naturally with how modern hardware works — contiguous memory, sequential access, and direct addressing. When you understand the criteria that make arrays shine, you'll recognize that they're the right choice for the vast majority of real-world scenarios.
This page will systematically examine when to choose arrays, providing concrete criteria and real-world examples.
You will learn the specific criteria that indicate arrays are the optimal choice. We'll examine each criterion with practical examples and performance considerations, completing your decision framework for array vs. linked list selection.
This is the defining advantage of arrays: O(1) access by index. If your algorithm requires accessing elements at arbitrary positions, arrays are the only sensible choice.
Why random access is O(1) in arrays:
Arrays store elements contiguously with uniform size. To find element at index i:
address = base_address + (i × element_size)
This calculation requires exactly three machine operations:
The time is constant regardless of array size. Whether you have 10 elements or 10 million, accessing index 7 takes the same time.
Why random access is O(n) in linked lists:
Linked lists have no address formula. To reach index i, you must:
next pointerEach step is a memory access with potential cache miss. Accessing index 7 requires 7 memory accesses. Accessing index 1,000,000 requires 1,000,000 memory accesses.
Example: Binary Search
Binary search is the canonical algorithm that requires random access:
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BinarySearch(array, target): left = 0 right = length(array) - 1 while left <= right: mid = left + (right - left) / 2 // Compute middle index // Random access: O(1) in arrays, O(n) in linked lists if array[mid] == target: return mid else if array[mid] < target: left = mid + 1 else: right = mid - 1 return NOT_FOUND // Total: O(log n) comparisons, each requiring O(1) access// With linked list: O(log n) comparisons × O(n) access = O(n log n)// This makes linked list binary search WORSE than linear search!The performance difference:
Searching a sorted collection of 1,000,000 elements:
The linked list "binary search" is worse than linear search! This demonstrates why the combination of binary search and linked lists is fundamentally incompatible.
Algorithms requiring random access:
Random access isn't just about retrieving elements — it's about computing positions. Heap operations, for instance, compute parent and child indices directly (parent = i/2, children = 2i, 2i+1). This mathematical relationship is impossible to exploit with linked lists.
Counter-intuitively, arrays are also faster for sequential access — the one pattern where linked lists should theoretically be competitive. The reason is cache behavior.
The cache hierarchy advantage:
When you access one array element, the CPU loads an entire cache line (typically 64 bytes) from memory. If your next access is to an adjacent element, it's already in cache — a cache hit that's ~100x faster than a main memory access.
For sequential iteration:
Array: First element triggers cache line load. Next 7-15 elements (depending on element size) are already cached. Effective memory accesses: ~N/8 to N/16.
Linked List: Each node triggers a cache line load. Even if the node is small, it's unlikely the next node is in the same cache line (nodes are scattered). Effective memory accesses: ~N.
The result: array iteration can be 8-16x faster than linked list iteration purely due to cache efficiency.
Benchmark reality:
Iterating and summing 1 million 64-bit integers:
The 100-500x slowdown for fragmented linked lists is not theoretical — it's regularly observed in production systems with long-lived linked lists.
When iteration speed matters:
The cache advantage varies by platform, element size, and access patterns. A linked list with 4KB elements shows less cache penalty than one with 8-byte elements. Always benchmark with realistic data when performance is critical.
Arrays are dramatically more memory-efficient than linked lists for small to medium-sized elements. This matters for large datasets and memory-constrained environments.
The overhead calculation:
For elements of size S bytes:
Memory comparison for common element types:
| Element Type | Element Size | Array Total | Singly Linked Total | Overhead Factor |
|---|---|---|---|---|
| byte | 1 byte | 1 MB | ~25 MB | 25x |
| int (32-bit) | 4 bytes | 4 MB | ~28 MB | 7x |
| long (64-bit) | 8 bytes | 8 MB | ~32 MB | 4x |
| pointer | 8 bytes | 8 MB | ~32 MB | 4x |
| small struct (32 bytes) | 32 bytes | 32 MB | ~56 MB | 1.75x |
| medium object (128 bytes) | 128 bytes | 128 MB | ~152 MB | 1.19x |
| large object (1 KB) | 1024 bytes | 1 GB | ~1.02 GB | 1.02x |
The crossover point:
As element size increases, the relative overhead decreases. For elements larger than ~200-300 bytes, the overhead becomes negligible. But for primitive types and small structures — which represent the majority of programming scenarios — the overhead is substantial.
When memory efficiency matters critically:
Example: Processing Sensor Data
An IoT system collects temperature readings from thousands of sensors:
The linked list uses 2.5x more memory — potentially the difference between fitting in RAM and requiring swapping or external storage.
Additional memory considerations:
Dynamic arrays may over-allocate capacity. However, this waste is bounded (typically ≤50%) and can be eliminated with shrink-to-fit after population. Linked list overhead, in contrast, is unavoidable and persistent.
If your data needs to be sorted — either maintaining sorted order or performing the sorting operation — arrays typically offer significant advantages.
Sorting algorithm efficiency:
The most efficient comparison-based sorting algorithms are designed for arrays:
Linked lists can be sorted with merge sort in O(n log n), but:
Maintaining sorted order:
If you need to maintain a sorted collection with frequent insertions:
| Operation | Sorted Array | Sorted Linked List | Winner |
|---|---|---|---|
| Find insertion point | O(log n) binary search | O(n) linear search | Array |
| Insert at position | O(n) shift | O(1) pointer update | Linked List |
| Total insert | O(n) | O(n) | Tie (complexity) |
| Cache behavior during search | Excellent | Poor | Array |
| Cache behavior during insert | Moderate (shift) | Poor (random access) | Array |
Despite the same O(n) complexity, sorted array insertion is typically faster in practice because:
When sorting is critical:
The binary search advantage compounds:
Once data is sorted in an array, many operations become dramatically faster:
None of these optimizations are possible with linked lists, even if sorted.
If you need sorted order with frequent insertions AND linked list benefits, consider skip lists. They provide O(log n) search and insertion while maintaining linked structure. However, they have higher complexity and overhead than simple linked lists.
Arrays are universally supported across programming languages and receive extensive optimization. This practical consideration often tips the scales toward arrays.
Universal array support:
arr[i], slicing, etc.)Linked list support varies:
Linked lists exist in standard libraries (std::list in C++, LinkedList in Java), but with caveats:
std::list)Example: Standard Library Recommendations
The C++ Core Guidelines state:
"Don't use
std::listunless you really need the specific properties of a doubly-linked list. Typically,std::vectoris a better choice even when you plan to insert into the middle."
This isn't anti-linked-list bias — it reflects measured performance on modern hardware. The cache efficiency of vectors overwhelms the theoretical insertion advantage of lists for most workloads.
Serialization and storage:
Arrays are naturally serializable:
Linked lists require pointer translation — each node's pointers are process-specific virtual addresses that become meaningless across process boundaries or storage.
Correct linked list implementation is notoriously error-prone. Edge cases (empty list, single element, head/tail operations) cause many bugs. Arrays have simpler semantics. When development time matters, array simplicity is a real advantage.
Array performance is more predictable and easier to analyze than linked list performance. This matters for capacity planning, performance optimization, and meeting service level objectives.
Why array performance is predictable:
Why linked list performance is variable:
Example: Production Service Analysis
Consider analyzing why a service's P99 latency is high:
Array-based service:
Linked list-based service:
The linked list debugging path is more difficult because performance depends on hidden state (memory layout) rather than visible state (data content).
Linked list performance depends on allocation patterns that aren't part of the logical data structure. Two linked lists with identical contents may have radically different performance based on how they were constructed. This hidden state makes performance analysis and optimization challenging.
Here is a practical checklist for determining whether arrays are appropriate for your use case. If you can answer "yes" to most of these questions, an array is likely the right choice.
| Criteria Matched | Recommendation |
|---|---|
| 7-9 | Strongly prefer arrays |
| 5-6 | Arrays likely appropriate |
| 3-4 | Arrays might work, but consider linked list criteria too |
| 0-2 | Review linked list criteria carefully — may be a better fit |
When in doubt, choose arrays. Their performance is good across a wide range of scenarios, and switching to a linked list later is straightforward if profiling reveals a specific bottleneck. Starting with a linked list and discovering you need random access is a harder problem to solve.
This page has identified the specific scenarios where arrays provide genuine advantages over linked lists. Let's consolidate these criteria:
The mental model:
Arrays are optimized for how modern computers actually work — contiguous memory, cache hierarchies, and sequential access patterns. When your access patterns align with these hardware realities, arrays provide unbeatable performance.
What's next:
We've now examined criteria for both linked lists and arrays. The final page brings everything together with hybrid approaches — data structures that combine the best of both worlds for specialized scenarios.
You now have a clear, actionable set of criteria for identifying when arrays are the optimal choice. Combined with the linked list criteria, you have a complete decision framework. Next, we'll explore hybrid approaches that combine array and linked list properties.