Recall that a sorting algorithm is said to be stable if the original ordering for duplicate keys is preserved. we can make any algorithm stable if we alter the input keys so that (potentially) duplicate key values are made unique in a way that the first occurrence of the original duplicate value is less than the second occurrence, which in turn is less than the third, and so on. in the worst case, it is possible that all n input records have the same key value. give an algorithm to modify the key values such that every modified key value is unique, the resulting key values give the same sort order as the original keys, the result is stable (in that the duplicate original key values remain in their original order), and the process of altering the keys is done in linear time using only a constant amount of additional space per key.

Select all that apply. which of the following are proofreading options included in microsoft word? spell check find replace grammar check formatting check

For her science class, elaine is creating a presentation on weather in the united states. she wants to make the presentation beautiful and interesting by drawing simple cloud or wave shapes. which is the best way for elaine to draw these shapes?

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?