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Let z=i⌈ii⌉z = i^{\lceil i^{i} \rceil}z=i⌈ii⌉, where i=−1i = \sqrt {-1}i=−1.
If k=Re(z)+Im(z)k = Re(z)+Im(z)k=Re(z)+Im(z), find ⌊100k⌋\lfloor 100k \rfloor⌊100k⌋.
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