The selection algorithm (to find the kth smallest value in a list), described in the class (and in the book), uses columns of size 5. Assume you implement the same selection algorithm using columns of size 9, rather than 5. (a) Exactly how far from either end of the array is the median of medians guaranteed to be. Just give the high order term. (Recall that with columns of size 5 we got 3n 10 .) (b) It turns out that there is an algorithm that finds the median of 9 elements with 14 comparisons. Using this algorithm, briefly list each step of Selection with columns of size 9 and how many comparisons the step takes. Note that partition can now be done with only (4/9)n comparisons; use this value in your analysis. (c) Write a recurrence for the number of comparisons the algorithm uses. (d) Solve the recurrence using constructive induction. Just get the high order term exactly. (e) With more careful analysis, in class we could have obtained 16n comparisons using columns of size 5. How does this new value, using columns of size 9, compare?

In the film "epic 2015," epic is the name for:

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Read this excerpt from helen keller’s autobiography, the story of my life. have you ever been at sea in a dense fog, when it seemed as if a tangible white darkness shut you in, and the great ship, tense and anxious, groped her way toward the shore with plummet and sounding-line, and you waited with beating heart for something to happen? i was like that ship before my education began, only i was without compass or sounding-line, and had no way of knowing how near the harbour was. "light! give me light! " was the wordless cry of my soul, and the light of love shone on me in that very hour. . the morning after my teacher came she led me into her room and gave me a doll. the little blind children at the perkins institution had sent it and laura bridgman had dressed it; but i did not know this until afterward. when i had played with it a little while, miss sullivan slowly spelled into my hand the word "d-o-l-l." i was at once interested in this finger play and tried to imitate it. when i finally succeeded in making the letters correctly i was flushed with childish pleasure and pride. running downstairs to my mother i held up my hand and made the letters for doll. i did not know that i was spelling a word or even that words existed; i was simply making my fingers go in monkey-like imitation. in the days that followed i learned to spell in this uncomprehending way a great many words, among them pin, hat, cup and a few verbs like sit, stand and walk. based on this excerpt, which words best describe helen keller?