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3 changes: 3 additions & 0 deletions src/problem4/.gitignore
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# Dependencies
node_modules/

13 changes: 13 additions & 0 deletions src/problem4/NOTES.md
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# Complexity Notes

| Function | Time | Space |
|--------------|------|-------|
| sum_to_n_a | O(1) | O(1) |
| sum_to_n_b | O(n) | O(1) |
| sum_to_n_c | O(n) | O(n) |

- **a** — closed-form arithmetic series
- **b** — iterative accumulation
- **c** — recursive helper with running total

Assumes `n` yields a result within `Number.MAX_SAFE_INTEGER`.
22 changes: 22 additions & 0 deletions src/problem4/README.md
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# Problem 4: Sum to N

Compute the sum of integers from 1 through `n`.

Example: `sum_to_n(5)` → `15`

## Run

```bash
npm install
npm start
```

## Implementations

| Export | Approach | Time | Space |
|--------------|-----------------|------|-------|
| `sum_to_n_a` | formula | O(1) | O(1) |
| `sum_to_n_b` | while loop | O(n) | O(1) |
| `sum_to_n_c` | recursive helper| O(n) | O(n) |

See [NOTES.md](./NOTES.md) for brief analysis.
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