AI-MO AoPS: problems with no position
The 4 problems from AI-MO AoPS that have no locator yet.
- Problem 1R03A-ZP6V6
Let \alpha\geq 1 be a real number. Define the set A(\alpha)=\{\lfloor \alpha\rfloor,\lfloor 2\alpha\rfloor, \lfloor 3\alpha\rfloor,\dots\} Suppose that all the… - Problem 3KZEN-8RJ8M
Given the polygons P and Q as shown in the grid below, cut P into two polygons P_1 and P_2 such that, when pasted together differently, they form Q . - Problem 6X75H-APVCQ
A triple of positive integers (a,b,c) is brazilian if a|bc+1 b|ac+1 c|ab+1 Determine all the brazilian triples. - Problem P6BYB-N7A6A
Let ABC be a triangle with \angle ABC=90^{\circ} . The square BDEF is inscribed in \triangle ABC , such that D,E,F are in the sides AB,CA,BC respectively. The…