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Printing a complete set of Bingo cards is impossible for all practical purposes. If one trillion cards could be printed each second, a printer would require more than seventeen million years to print just one set. However, while the number combination of each card is unique, the number of winning cards is not.
The bubble is the minimum number of balls required to complete the bingo pattern. This is the earliest point any player could have a valid bingo. For standard bingo games, at least one number in each column or four/five numbers in a single column need to be called for a bingo to be possible.
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All centered square numbers and their divisors have a remainder of 1 when divided by 4. Hence all centered square numbers and their divisors end with digit 1 or 5 in base 6, 8, and 12. Every centered square number except 1 is the hypotenuse of a Pythagorean triple (3-4-5, 5-12-13, 7-24-25, ...). This is exactly the sequence of Pythagorean ...
A completed nonogram of the letter "W" from the Wikipedia logo. Nonograms, also known as Hanjie, Paint by Numbers, Picross, Griddlers, and Pic-a-Pix, are picture logic puzzles in which cells in a grid must be colored or left blank according to numbers at the edges of the grid to reveal a hidden picture.
Yellow dots on white paper, produced by color laser printer (enlarged, dot diameter about 0.1 mm) Printer tracking dots, also known as printer steganography, DocuColor tracking dots, yellow dots, secret dots, or a machine identification code (MIC), is a digital watermark which many color laser printers and photocopiers produce on every printed page that identifies the specific device that was ...
This version of the pea pattern eventually forms a cycle with the two "atomic" terms 23322114 and 32232114. Other versions of the pea pattern are also possible; for example, instead of reading the digits as they first appear, one could read them in ascending order instead (sequence A005151 in the OEIS). In this case, the term following 21 would ...
Singh cites Pingala's cryptic formula misrau cha ("the two are mixed") and scholars who interpret it in context as saying that the number of patterns for m beats (F m+1) is obtained by adding one [S] to the F m cases and one [L] to the F m−1 cases. [12] Bharata Muni also expresses knowledge of the sequence in the Natya Shastra (c. 100 BC–c ...
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