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Computing p()’s in O(n) time

Learn how to compute P's efficiently in O(n) time by utilizing two sorted lists - one by finish time and the other by start time. Start times: b(0,5), a(1,3), e(3,8), c(5,6), d(6,8). Finish times: a(1,3), b(0,5), c(5,6), d(6,8), e(3,8).

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Computing p()’s in O(n) time

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  1. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) chapter25

  2. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) chapter25

  3. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) chapter25

  4. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) P(d)=c. chapter25

  5. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) P(d)=c. chapter25

  6. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) P(d)=c. chapter25

  7. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) P(d)=c, p( c )=b. chapter25

  8. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) P(d)=c, p( c )=b. chapter25

  9. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) P(d)=c, p( c )=b, p(e)=a. chapter25

  10. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) P(d)=c, p( c )=b, p(e)=a. chapter25

  11. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) P(d)=c, p( c )=b, p(e)=a. chapter25

  12. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) P(d)=c, p( c )=b, p(e)=a, p(a)=0. chapter25

  13. Computing p()’s in O(n) time P()’s can be computed in O(n) time using two sorted lists, one sorted by finish time and the other sorted by start time. Start time: b(0, 5), a(1, 3), e(3, 8), c(5, 6), d(6, 8) Finish time a(1, 3), b(0,5), c(5,6), d(6,8), e(3,8) P(d)=c, p( c )=b, p(e)=a, p(a)=0, p(b)=0. chapter25

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