conversations listlengths 2 2 | lambda_value float64 0.5 0.5 |
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"value": "Background\nA staircase polyomino is a polyomino made of unit squares whose shape resembles a staircase. More formally, a staircase polyomino of size \\$n\\$ is defined as follows:\n\nA staircase polyomino of size 1 is a single unit square.\nA staircase polyomino of size \\$n\\$... | 0.5 |
[{"from":"human","value":"A zip bomb is a compressed file, designed so that unpacking it yields the (...TRUNCATED) | 0.5 |
[{"from":"human","value":"The Factorial Number System, also called factoradic, is a mixed radix nume(...TRUNCATED) | 0.5 |
[{"from":"human","value":"Copper sulphate is prepared by blowing a current of air through copper scr(...TRUNCATED) | 0.5 |
[{"from":"human","value":"Strassen's algorithm was the first method of matrix multiplication in subc(...TRUNCATED) | 0.5 |
[{"from":"human","value":"Determine the largest integer $k$ such that the function $f(x) = \\frac{x^(...TRUNCATED) | 0.5 |
[{"from":"human","value":"Benzene and naphthalene form an ideal solution at room temperature. For th(...TRUNCATED) | 0.5 |
[{"from":"human","value":"As a fan of an at most moderately successful footballBE team, towards the (...TRUNCATED) | 0.5 |
[{"from":"human","value":"In each case, start with the longest possible chain and determine all poss(...TRUNCATED) | 0.5 |
[{"from":"human","value":"I'm following the notes \"Ginsparg - Applied Conformal Field Theory\" (htt(...TRUNCATED) | 0.5 |
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