Sabtu, 15 Januari 2011

Merge Sort

cara pertama :
 
function merge_sort(m)
    if length(m) ≤ 1
        return m
    var list left, right, result

    var integer middle = length(m) / 2
    for each x in m up to middle
         add x to left
    for each x in m after middle
         add x to right
    left = merge_sort(left)
    right = merge_sort(right)
    result = merge(left, right)
    return result
cara kedua :
function merge(left,right)
    var list result
    while length(left) > 0 or length(right) > 0
        if length(left) > 0 and length(right) > 0
            if first(left) ≤ first(right)
                append first(left) to result
                left = rest(left)
            else
                append first(right) to result
                right = rest(right)
        else if length(left) > 0
            append first(left) to result
            left = rest(left)             
        else if length(right) > 0
            append first(right) to result
            right = rest(right)
    end while
    return result
 
 
cara ketiga :
 
# Original data is on the input tape; the other tapes are blank
 function merge_sort(input_tape, output_tape, scratch_tape_C, scratch_tape_D)
     while any records remain on the input_tape
         while any records remain on the input_tape
             merge( input_tape, output_tape, scratch_tape_C)
             merge( input_tape, output_tape, scratch_tape_D)
         while any records remain on C or D
             merge( scratch_tape_C, scratch_tape_D, output_tape)
             merge( scratch_tape_C, scratch_tape_D, input_tape)

 # take the next sorted chunk from the input tapes, and merge into the single given output_tape.
 # tapes are scanned linearly.
 # tape[next] gives the record currently under the read head of that tape.
 # tape[current] gives the record previously under the read head of that tape.
 # (Generally both tape[current] and tape[previous] are buffered in RAM ...)
 function merge(left[], right[], output_tape[])
     do
        if left[current] ≤ right[current]
            append left[current] to output_tape
            read next record from left tape
        else
            append right[current] to output_tape
            read next record from right tape
    while left[current] < left[next] and right[current] < right[next]
    if left[current] < left[next]
        append current_left_record to output_tape
    if right[current] < right[next]
        append current_right_record to output_tape
    return 
 
 
 

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