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/*Find the nth digit of the infinite integer sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ...

Note:

n is positive and will fit within the range of a 32-bit signed integer (n < 231).

Example 1:

Input:

3

Output:

3

Example 2:

Input:

11

Output:

0

Explanation:

The 11th digit of the sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ... is a 0, which is part of the number 10.*/

/**

* @param {number} n

* @return {number}

*/

var findNthDigit = function(n) {

digit = 1

count = 9

while(n-digit*count>0){

n -= digit*count

digit++ // 1, 2, 3, 4, ...

count *= 10 // 9, 90, 900, 9000, ...

}

base = Math.pow(10,digit-1) // 1, 10, 100, 1000, ...

number = (base + Math.floor((n-1)/digit)).toString()

mod = (n-1) % digit

return parseInt(number[mod])

};