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The Sum and Product Puzzle, also known as the Impossible Puzzle because it seems to lack sufficient information for a solution, is a logic puzzle. It was first published in 1969 by Hans Freudenthal, [1] [2] and the name Impossible Puzzle was coined by Martin Gardner. [3] The puzzle is solvable, though not easily. There exist many similar puzzles.
3 The sum of x and y is 100 or less. 1 comment. 4 I hesitate to add another program. 2 comments. 5 I think the solution given here is wrong. ... Talk: Sum and Product ...
In arithmetic combinatorics, the Erdős–Szemerédi theorem states that for every finite set of integers, at least one of , the set of pairwise sums or , the set of pairwise products form a significantly larger set. More precisely, the Erdős–Szemerédi theorem states that there exist positive constants c and such that for any non-empty set.
Microsoft PowerPoint is a presentation program, [ 8 ] created by Robert Gaskins, Tom Rudkin and Dennis Austin [ 8 ] at a software company named Forethought, Inc. [ 8 ] It was released on April 20, 1987, [ 9 ] initially for Macintosh computers only. [ 8 ]
Here is a simple Survo puzzle with 3 rows and 4 columns: Numbers 3, 6, and 8 are readily given. The task is to put remaining numbers of 1-12 (3×4=12) to their places so that the sums are correct. The puzzle has a unique solution found stepwise as follows: The missing numbers are 1,2,4,5,7,9,10,11,12.
In geometry, the Minkowski sum of two sets of position vectors A and B in Euclidean space is formed by adding each vector in A to each vector in B: The Minkowski difference (also Minkowski subtraction, Minkowski decomposition, or geometric difference) [1] is the corresponding inverse, where produces a set that could be summed with B to recover A.