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Home » Sisters Day 2025: The Ultimate Guide to Spreading Joy and Making Memories! - Tacotoon

Sisters Day 2025: The Ultimate Guide to Spreading Joy and Making Memories! - Tacotoon

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Alternative: perhaps the dataset size is 65536 (2¹⁶), but stated as 64,000?

📌 However, focusing on math, if we accept real division, but the question is designed for integer splits — so adjust:

📌 Instead, use 8192, which is power of 2. But original said 64,000.

📌 But in context, likely a typo — or accept non-integer?

📌 Better: use a number that powers to 2^n.

📌 But original problem said 64,000 — so proceed numerically:

📌 Number of divisions to reduce 64000 to 1 via halving:

📌 → 32000 → 16000 → 8000 → 4000 → 2000 → 1000 → 500 → 250 → 125 → 62.5? — not integer.

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5A glaciologist measures that a glacier retreated 120 meters over the...
The average annual retreat in the first 4 years is 120 / 4 = 30 meters...
In the next 3 years, the retreat was 120 → 210 meters over 180 days, o...
Let the annual retreat amounts be: Year 1–4: ?, ?, ?, ?; Year 5: A, Ye...
But since the acceleration is linear, model the *annual retreat* as a...
Let the retreats (in meters/year) for the 5 years be: $ a, a+d, a+2d,...
But the first 4 years total 120: $ a + (a+d) + (a+2d) + (a+3d) = 4a +...
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Case 2:** \( rac{r+1}{r-1} = rac{3 - \sqrt{5}}{2} \)
Similarly:
2(r+1) = (3 - \sqrt{5})(r - 1)
2r + 2 = (3 - \sqrt{5})r - (3 - \sqrt{5})
2r + 2 = (3 - \sqrt{5})r - 3 + \sqrt{5}
2r - (3 - \sqrt{5})r + 5 - \sqrt{5} = 0
r = rac{\sqrt{5} - 5}{-1 + \sqrt{5}} = rac{-(5 - \sqrt{5})}{\sqrt{5}...
Multiply numerator and denominator by \(\sqrt{5} + 1\):
r = -rac{(5 - \sqrt{5})(\sqrt{5} + 1)}{(\sqrt{5} - 1)(\sqrt{5} + 1)}...
Thus, \( r = \sqrt{5} \) or \( r = -\sqrt{5} \). These correspond to p...

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