Mathematics Olympiad Problems And Solutions
ot a power of two. *Solution Outline:* Express the integer \( n \) as a sum of \( k \) consecutive integers starting from \( a \): \[ n = a + (a+1) + \cdots + (a + k - 1) = k \cdot a + \frac{k(k-1)}{2}
ot a power of two. *Solution Outline:* Express the integer \( n \) as a sum of \( k \) consecutive integers starting from \( a \): \[ n = a + (a+1) + \cdots + (a + k - 1) = k \cdot a + \frac{k(k-1)}{2}
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