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Given 4 integers a,b,c and k . Find the min(non-negative Integral) value of x such that ax2+bx+c >= k.
Example 1:
Input: a = 4, b = 6, c = 5, k = 5
Output: 0
Explanation: 4*(0)2+6*0+5 = 5 which is
>= 5.
​Example 2:
Input: a = 1, b = 2, c = 3, k = 4
Output: 1
Explanation: 1*(1)2+2*1+3 = 6 which is
​>= 4.
Your Task:
You don't need to read input or print anything. Your task is to complete the function minX() which takes a, b, c and k as inputs and returns the answer.
Expected Time Complexity: O(log k)
Expected Auxiliary Space: O(1)
Constraints:
1 ≤ a, b, c ≤ 105
1 ≤ k ≤ 109
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