GATE CSE
First time here? Checkout the FAQ!
x
0 votes
79 views
A certain string-processing language offers a primitive operation which splits a string into two pieces. Since this operation involves copying the original string, it takes n units of time for a string of length $n$, regardless of the location of the cut.
Suppose, now, that you want to break a string into many pieces. The order in which the breaks are made can affect the total running time. For example, if you want to cut a 20-character string at positions 3 and 10, then making the first cut at position 3 incurs a total cost of 20 + 17 = 37, while doing position 10 first has a better cost of 20 + 10 = 30.
Give a dynamic programming algorithm that, given the locations of m cuts in a string of length n, finds the minimum cost of breaking the string into m + 1 pieces. You may assume that all m locations are in the interior of the string so each split is non-trivial.
asked in Algorithms by Veteran (77.2k points)   | 79 views

Please log in or register to answer this question.



Top Users May 2017
  1. akash.dinkar12

    3152 Points

  2. pawan kumarln

    1616 Points

  3. sh!va

    1580 Points

  4. Arjun

    1336 Points

  5. Devshree Dubey

    1230 Points

  6. Angkit

    1028 Points

  7. Debashish Deka

    1012 Points

  8. Bikram

    972 Points

  9. LeenSharma

    810 Points

  10. srestha

    662 Points

Monthly Topper: Rs. 500 gift card
Top Users 2017 May 22 - 28
  1. pawan kumarln

    242 Points

  2. Ahwan

    138 Points

  3. joshi_nitish

    112 Points

  4. jjayantamahata

    104 Points

  5. Arjun

    64 Points


22,725 questions
29,056 answers
65,052 comments
27,566 users