**Make Target List with Increment and Double Operations - Amazon Top Interview Questions**

### Problem Statement :

You are given a list of non-negative integers target. Consider a list A of the same length as target containing all zeros initially. In one operation, you can increment one number in A, or double every number in A. Return the minimum number of operations required to turn A into target. Constraints 0 ≤ n ≤ 100,000 where n is the length of target Example 1 Input target = [3, 2, 2] Output 5 Explanation First, we start with A = [0, 0, 0] We increment A[0] and get [1, 0, 0] We increment A[1] and get [1, 1, 0] We increment A[2] and get [1, 1, 1] We double every element and get [2, 2, 2] We increment A[0] and get [3, 2, 2] Example 2 Input target = [0, 0, 0, 0, 0] Output 0 Explanation A is already equal to target.

### Solution :

` ````
Solution in C++ :
int solve(vector<int>& target) {
map<int, int> c;
for (int x : target) ++c[x];
int ret = 0, b = 0;
for (const auto& p : c) {
int x = p.first, y = 0;
while (x) {
if (x % 2)
ret += p.second, --x;
else
x /= 2, ++y;
}
b = max(b, y);
}
return ret + b;
}
```

` ````
Solution in Python :
class Solution:
def solve(self, target):
max_len, cnt_ones = 0, 0
for n in target:
bits = bin(n)
max_len = max(max_len, len(bits) - 3)
cnt_ones += bits.count("1")
return max_len + cnt_ones
```

## View More Similar Problems

## Subsequence Weighting

A subsequence of a sequence is a sequence which is obtained by deleting zero or more elements from the sequence. You are given a sequence A in which every element is a pair of integers i.e A = [(a1, w1), (a2, w2),..., (aN, wN)]. For a subseqence B = [(b1, v1), (b2, v2), ...., (bM, vM)] of the given sequence : We call it increasing if for every i (1 <= i < M ) , bi < bi+1. Weight(B) =

View Solution →## Kindergarten Adventures

Meera teaches a class of n students, and every day in her classroom is an adventure. Today is drawing day! The students are sitting around a round table, and they are numbered from 1 to n in the clockwise direction. This means that the students are numbered 1, 2, 3, . . . , n-1, n, and students 1 and n are sitting next to each other. After letting the students draw for a certain period of ti

View Solution →## Mr. X and His Shots

A cricket match is going to be held. The field is represented by a 1D plane. A cricketer, Mr. X has N favorite shots. Each shot has a particular range. The range of the ith shot is from Ai to Bi. That means his favorite shot can be anywhere in this range. Each player on the opposite team can field only in a particular range. Player i can field from Ci to Di. You are given the N favorite shots of M

View Solution →## Jim and the Skyscrapers

Jim has invented a new flying object called HZ42. HZ42 is like a broom and can only fly horizontally, independent of the environment. One day, Jim started his flight from Dubai's highest skyscraper, traveled some distance and landed on another skyscraper of same height! So much fun! But unfortunately, new skyscrapers have been built recently. Let us describe the problem in one dimensional space

View Solution →## Palindromic Subsets

Consider a lowercase English alphabetic letter character denoted by c. A shift operation on some c turns it into the next letter in the alphabet. For example, and ,shift(a) = b , shift(e) = f, shift(z) = a . Given a zero-indexed string, s, of n lowercase letters, perform q queries on s where each query takes one of the following two forms: 1 i j t: All letters in the inclusive range from i t

View Solution →## Counting On a Tree

Taylor loves trees, and this new challenge has him stumped! Consider a tree, t, consisting of n nodes. Each node is numbered from 1 to n, and each node i has an integer, ci, attached to it. A query on tree t takes the form w x y z. To process a query, you must print the count of ordered pairs of integers ( i , j ) such that the following four conditions are all satisfied: the path from n

View Solution →