Restricted Integer Partition Workbench

How to use Restricted Integer Partition Workbench

A two-dimensional exact dynamic program counts each allowed part size and number of parts. Repeated parts and distinct parts use different update orders. A separate bounded traversal lists nondecreasing examples without treating their order as a new partition.

1. Enter integer target, largest allowed part, exact k (used only in exact mode).
2. Choose the stated convention and check the units and supported model.
3. Calculate, inspect the result, then copy or download it.

Good to know

• Target 0–200, largest part 1–200, and optional exact number of parts 0–200. Counts use exact integers. Examples stop at 50 solutions or 20000 traversal visits; the truncation flag compares the list with the exact count. The empty partition is one solution for target zero with zero parts. These are unordered positive-integer partitions, not ordered compositions or subset selections from a supplied set.
• Local calculation only; no input persistence or external lookup. Text/JSON is limited to 30000 characters and output to 1000000 characters. Numeric model inputs and precision/work limits are stated on this page. Approximate JSON numbers retain full stored values; exact arithmetic outputs retain decimal or fraction strings. Unsupported states fail explicitly.