Superincreasing

Have the function Superincreasing(arr) take the array of numbers stored in arr and determine if the array forms a superincreasing sequence where each element in the array is greater than the sum of all previous elements. The array will only consist of positive integers. For example: if arr is [1, 3, 6, 13, 54] then your program should return the string "true" because it forms a superincreasing sequence. If a superincreasing sequence isn't formed, then your program should return the string "false"

Examples

Input: [1,2,3,4]
Output: false

Input: [1,2,5,10]
Output: true