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Kakuro or Kakkuro or Kakoro (Japanese: カックロ) is a kind of logic puzzle that is often referred to as a mathematical transliteration of the crossword. Kakuro puzzles are regular features in many math-and-logic puzzle publications across the world. In 1966, [1] Canadian Jacob E. Funk, an employee of Dell Magazines, came up with the ...
Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication. What is being divided is called the dividend, which is divided by the divisor, and the result is called the quotient. At an elementary level the division of two natural numbers is, among other possible interpretations ...
For instance, the first counterexample must be odd because f(2n) = n, smaller than 2n; and it must be 3 mod 4 because f 2 (4n + 1) = 3n + 1, smaller than 4n + 1. For each starting value a which is not a counterexample to the Collatz conjecture, there is a k for which such an inequality holds, so checking the Collatz conjecture for one starting ...
Add the last two digits to four times the rest. The result must be divisible by 16. 176: 1 × 4 + 76 = 80. 1,168: 11 × 4 + 68 = 112. The last four digits must be divisible by 16. [2] [3] 157,648: 7,648 = 478 × 16. The sum of the ones digit, double the tens digit, four times the hundreds digit, and eight times the thousands digit is divisible ...
Division by two. An orange that has been sliced into two halves. In mathematics, division by two or halving has also been called mediation or dimidiation. [1] The treatment of this as a different operation from multiplication and division by other numbers goes back to the ancient Egyptians, whose multiplication algorithm used division by two as ...
We could extend the dividend by writing it as, say, 500.000... and continue the process (using a decimal point in the quotient directly above the decimal point in the dividend), in order to get a decimal answer, as in the following example. 31.75 4)127.00 12 (12 ÷ 4 = 3) 07 (0 remainder, bring down next figure) 4 (7 ÷ 4 = 1 r 3) 3.0 (bring ...
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The lowest word count in a published weekday-size 15x15 puzzle is the June 29, 2013 The New York Times crossword by Joe Krozel, with just 50 words. [56] The fewest shaded squares in a 15x15 American crossword is 17 (leaving 208 white spaces), set by the July 27, 2012 Times crossword by Joe Krozel. [57]