Problem:
Score : 200 points

Problem Statement

There is a kangaroo at coordinate 0 on an infinite number line that runs from left to right, at time 0.
During the period between time i-1 and time i, the kangaroo can either stay at his position, or perform a jump of length exactly i to the left or to the right.
That is, if his coordinate at time i-1 is x, he can be at coordinate x-i, x or x+i at time i.
The kangaroo's nest is at coordinate X, and he wants to travel to coordinate X as fast as possible.
Find the earliest possible time to reach coordinate X.

Constraints

X is an integer.

1≤X≤10^9

Input

The input is given from Standard Input in the following format:

X

Output

Print the earliest possible time for the kangaroo to reach coordinate X.

Sample Input 1

6

Sample Output 1

3

The kangaroo can reach his nest at time 3 by jumping to the right three times, which is the earliest possible time.

Sample Input 2

2

Sample Output 2

2

He can reach his nest at time 2 by staying at his position during the first second, and jumping to the right at the next second.

Sample Input 3

11

Sample Output 3

5

Solution in Ruby (2.3.3) (judge verdict: Time Limit Exceeded)

include Math
define_method :max, -> (a,b) { a > b ? a : b }
define_method :min, -> (a,b) { a < b ?  a : b }
define_method :swap, -> (a,b) { a, b = b, a }
define_method :rep, -> (num, &block) { num.times do |i| block.call(i) end }
define_method :repl, -> (st,en, &block) { st.upto en-1 do |i| block.call(i) end }
define_method :array, -> (size,init = nil) { Array.new(size){init} }
define_method :darray, -> (size1, size2, init = nil) { Array.new(size1){Array.new(size2){init}} }
define_method :gi, -> () { gets.split.map(&:to_i) }
define_method :gs, -> () { gets.chomp }
define_method :putall, -> (obj) { obj.each do |o| puts o end }
define_method :sum, -> (num) {a=0; 1.upto(num) do |i| a+=i end; return a }



n = gi[0]
count = 1
ans = n
rep n do |num|
s = sum num+1
break if s >= n
count += 1
end

puts count