Coin Trouble

Given an array of coins, father needs to distribute them amongst his three children. Write a function to determine if the coins can be distributed equally or not. Return true if each son receives the same amount of money, otherwise return false.

[1, 2, 3, 2, 2, 2, 3] ➞ true

• Amount to be distributed to each child = (1+2+3+2+4+3)/3 => 15/3 => 5
• Possible set of coin to be distributed to children = [(1,2,2),(2,3),(2,3)]

[5, 3, 10, 1, 2] ➞ false

• Amount to be distributed to each child = (5+3+10+1+2)/3 => 21/3 => 7
• But there are no combination such that each child get equal value which is 7.

Examples

coinsDiv([1, 2, 3, 2, 2, 2, 3]) ➞ true

coinsDiv([5, 3, 10, 1, 2]) ➞ false

coinsDiv([2, 4, 3, 2, 4, 9, 7, 8, 6, 9]) ➞ true

Notes

• Inputs will be an array of positive integers only.
• Coin can be any positive value.