For each number in a array, check if that number is greater than the sum of all numbers that appear before it in the array. If all numbers in the array pass this test, return true. Return false otherwise.

Examples

greater_than_sum([2, 3, 7, 13, 28]) ➞ true

# 3 > 2 = true
# 7 > 2 + 3 = true
# 13 > 2 + 3 + 7 = true
# 28 > 2 + 3 + 7 + 13 = true

greater_than_sum([1, 2, 4, 6, 13]) ➞ false

# 2 > 1 = true
# 4 > 1 + 2 = true
# 6 > 1 + 2 + 4 = false
# 13 > 1 + 2 + 4 + 6 = false

Notes

The first number in any array will always pass the test.