# Python | Interval List Summation

There are numerous ways to initialize the list with the elements, but sometimes, its required to initialize the lists with the numbers in a sliced way and find its summation. This can be custom and hence knowledge of this can come handy. Let’s discuss certain ways in which this can be done.

Method #1 : Using list comprehension + `enumerate() + sum()`
The list comprehension can do the possible iteration part and enumerate can help in the part of logic and checking for the valid elements required in the list. The sum() is used to perform summation.

 `# Python3 code to demonstrate  ` `# Interval List Summation ` `# using list comprehension + enumerate() + sum() ` ` `  `# initializing lists ` `test_list ``=` `list``(``range``(``50``)) ` ` `  `# printing original list ` `print` `(``"The original list is : "` `+` `str``(test_list)) ` ` `  `# interval elements ` `N ``=` `5` ` `  `# interval difference ` `K ``=` `15` ` `  `# using list comprehension + enumerate() + sum() ` `# Interval List Summation ` `res ``=` `sum``([i ``for` `j, i ``in` `enumerate``(test_list) ``if` `j ``%` `K < N ]) ` `     `  `# printing result  ` `print` `(``"The modified range sum list : "` `+` `str``(res)) `

Output :

The original list is : [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49]
The modified range sum list : 490

Method #2 : Using `itertools.compress() + itertools.cycle() + sum()`
The above two function can combine to facilitate the solution of the discussed problem. The cycle function can to the task of repetition and the compress function can be beneficial when it comes to clubbing the segments together. The sum() is used to perform summation.

 `# Python3 code to demonstrate  ` `# Interval List Summation ` `# using itertools.compress() + itertools.cycle() + sum() ` `from` `itertools ``import` `compress, cycle  ` ` `  `# initializing lists ` `test_list ``=` `list``(``range``(``50``)) ` ` `  `# printing original list ` `print` `(``"The original list is : "` `+` `str``(test_list)) ` ` `  `# interval elements ` `N ``=` `5` ` `  `# interval difference ` `K ``=` `15` ` `  `# using itertools.compress() + itertools.cycle() + sum() ` `# Interval List Summation  ` `func ``=` `cycle([``True``] ``*` `N ``+` `[``False``] ``*` `(K ``-` `N)) ` `res ``=` `sum``(``list``(compress(test_list, func))) ` `     `  `# printing result  ` `print` `(``"The modified range sum list : "` `+` `str``(res)) `

Output :

The original list is : [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49]
The modified range sum list : 490

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