remainder-allocation ladder · climbing rung ladder

Reconcile a Whole-Unit Fund Allocation with Disclosed Largest Remainders

Approved proportional shares do not always divide an indivisible budget. Keep exact quotas, floors, residual units and the tie rule together so a committee can reconcile the total without hiding where the final whole units went.

1 · Allocation destination | approved non-negative weight

FIRST-LOAD

HYPOTHESIS / PROTOTYPE — checkout unavailable. Calculation is local. A draft is saved automatically in this browser profile when storage is available; Reset to sample clears it. Optional Pro history stores only five summaries and has its own deletion control. State links encode your inputs and can remain in browser history, clipboard or recipients’ records; share only non-sensitive rows. Optional external AI formatting leaves this device. The required site analytics beacon reports page activity; shared URLs contain encoded inputs. Do not treat an encoded URL as private. The calculator has no input-collection endpoint.

Data note: The remainder-allocation ladder processes Allocation destination | approved non-negative weight locally. Starter/sample selection and Run compute in this tab; no input is sent by the calculator. A local draft may be saved; explicit state-link sharing or optional external AI formatting can disclose inputs. Use non-sensitive labels.

Perspective: Before: independent rounding lost or created allocation units. After: approved quotas, exact remainder ties and the final whole-unit total are auditable.

2 · Read the remainder-allocation ladder

Apportionment arithmetic only, not legal advice or a determination of equitable public funding. Ask the responsible committee or qualified governance adviser to approve weights, units, eligibility constraints and the disclosed input-order tie rule before an actual award.

Paid layer: remainder-allocation ladder filing layer

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one complete unwatermarked remainder-allocation ladder run in the app
three labeled samples and unlimited article-demo calculations
complete result text and a user-triggered input-state link

What $4 one-time adds

unlimited subsequent remainder-allocation ladder app calculations after a local convenience signal
print the remainder-allocation ladder with visible assumptions and its safety boundary
CSV of the displayed units assigned by remainders and row workings; conditional estimate uses your manual-retyping minutes
five local reading summaries (headline/count/time), not saved full inputs or cross-device backups

HYPOTHESIS / PROTOTYPE: $4 is a proposed one-time price for filing the remainder-allocation ladder, not a current sales offer. No measured time saving or buyer demand is claimed. The optional manual-retyping baseline above estimates one export’s retyping budget only; it does not change the calculation or guarantee savings.

Local history (this device)

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Filing prototype — checkout unavailable

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Optional filing controls are a local prototype.

Checkout is unavailable. The reading above is complete; print, CSV and five local summaries are optional enhancements, not hidden answers.

Before using the remainder-allocation ladder

One unit can mean a whole currency unit, a voucher or another indivisible allocation item, but all rows must use the same unit. Weights are supplied by an authorized process; they are not inferred from labels or needs. Largest remainders first assign the floor of every exact quota, then distribute the residual one unit at a time to the highest fractional remainders. Exact ties use entered row order, stated plainly. This choice can be inappropriate for real public funding unless explicitly approved. The algorithm has no destination caps, minimum grants, eligibility rules or multi-period fairness constraints. An all-zero weight pool is invalid even when the available total is zero because the proportional schedule itself is undefined.

Boundary and sources

Method: Multiply available units by each weight divided by total weight. Assign the whole floor quota, total those floors and subtract from the available units. Sort fractional remainders from largest to smallest, resolving exact ties by source order, then give one extra unit to each of the first residual destinations. Integer-scaled decimal arithmetic keeps tie comparisons exact.
All sample records, dates, quantities and labels are invented. No outside policy, contract, rate, clock offset, measurement or accessibility standard is represented as verified.
Google’s official pricing documentation, fetched 2026-10-01, says AI Studio is free in available regions. Optional formatting may require a Google account; manual local entry requires none. Limits can change and free-tier content may be used to improve products. Do not send private records.

Mechanism: competence-autonomy-loop

Optional AI formatting, never the calculation

Manual entry completes this remainder-allocation ladder for free without signup. If available to you, the free AI Studio interface linked in the sources may format fictional or non-sensitive notes; external access may require an account. No API key or AI call is built into this tool. Free-tier content may be used to improve products. Review each cell and transcribe it to the labeled row schema; do not paste the JSON object into the row box.

Format only these fictional or non-sensitive notes for a remainder-allocation ladder. Return strict JSON shaped as {"rows": [{"label": "string", "cells": ["string"]}], "setting": "string"}. The columns are Allocation destination | approved non-negative weight; the setting is Whole allocation units available. Keep all supplied strings and quantities exactly; do not calculate, infer missing entries, invent dates or add advice. If any required value is missing, return an empty rows array and ask me for it separately. I will verify every cell against my source and manually transcribe rows using vertical bars before running the local calculator.

An AI response is not executed, fetched or trusted as a result. Missing values remain questions; the strict local parser checks the rows you actually enter.