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Gap Operator Number Machine

Paste numbers separated by spaces, tabs, line breaks, commas, or other gaps. The machine can place an arithmetic sign between every detected number, calculate the result, count the values, calculate their sum and average, and justify the original string into one gap-free number.

1 · Paste Number String

Detected values may be whole numbers or decimals. Arithmetic operators can also be edited manually in the generated expression.

2 · Put a Sign in Every Gap

Generated / editable expression

Result: -

Mixed expressions are allowed. Example: 12 + 34 * 5 - 8 / 2. Standard multiplication/division precedence is used.

Number Sorting

Smallest → Largest

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Largest → Smallest

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Phi / Fibonacci Inward — Left Start

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Phi / Fibonacci Inward — Right Start

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Phi layers: —

The phi-style runs use Fibonacci layers (1, 1, 2, 3, 5, 8…) as an inward pattern. Smaller values stay toward the outer ends; the largest value becomes the middle value when the count is odd, or the two largest values form the middle pair when the count is even. Left-start and right-start are mirrored versions.

Number Analysis

Numbers Read

Digit Placements

Sum of Numbers

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Average = Sum / Numbers Read

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Minimum

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Maximum

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3 · Justify / Remove Gaps

Uniform number string

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This removes whitespace and common separators while preserving the digits in their original order. Arithmetic signs are removed from the justified output.

4 · Align With and Without Commas

With commas · one comma and one space between each detected value

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Without commas · one space between each detected number

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Detected numbers are preserved in order. The first line uses one comma and one space between each value; the second removes commas and places exactly one space between every character.

Detected Values

No numbers detected.

Digit Frequency

5 · Overall Report

The overall report combines the source string, detected values, number analysis, number sorting, digit frequency, arithmetic expression and result, justified digits, aligned comma string, and the one-space number string.

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