Sunday, November 11, 2018

Q9 : Sum of Intervals

Question9: Write a function called sumIntervals/sum_intervals() that accepts an array of intervals, and returns the sum of all the interval lengths. Overlapping intervals should only be counted once.

Intervals
Intervals are represented by a pair of integers in the form of an array. The first value of the interval will always be less than the second value. Interval example: [1, 5] is an interval from 1 to 5. The length of this interval is 4.

Overlapping Intervals
List containing overlapping intervals:

[
   [1,4],
   [7, 10],
   [3, 5]
]
The sum of the lengths of these intervals is 7. Since [1, 4] and [3, 5] overlap, we can treat the interval as [1, 5], which has a length of 4.

Examples:
sumIntervals( [
   [1,2],
   [6, 10],
   [11, 15]
] ); // => 9

sumIntervals( [
   [1,4],
   [7, 10],
   [3, 5]
] ); // => 7

sumIntervals( [
   [1,5],
   [10, 20],
   [1, 6],
   [16, 19],
   [5, 11]
] ); // => 19

4 comments:

  1. def sum_of_intervals(intervals):
    a=[i for lists in intervals for i in range(int(lists[0]),int(lists[1]))]
    return len(set(a))
    print(sum_of_intervals([input().split(',') for i in range(int(input('enter total number of intervals')))]))

    ReplyDelete
  2. A very simple solution found in codewars website(https://www.codewars.com/kata/52b7ed099cdc285c300001cd/solutions/python/all/best_practice)

    sum_of_intervals=lambda a:len(set.union(*(set(range(*i))for i in a)))

    ReplyDelete
  3. def sumIntervals(input):
    interval = set()
    if len(input) > 0:
    for data in input:
    if len(data) == 2 and data[0] < data[1]:
    for i in range(data[0], data[1]):
    interval.add(i)
    else:
    return 'Invalid input'
    return len(interval)
    else:
    return 0

    print(sumIntervals([[1,2], [6, 10], [11, 15]]))

    ReplyDelete
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    ReplyDelete