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Formatted question description: https://leetcode.ca/all/2154.html

# 2154. Keep Multiplying Found Values by Two (Easy)

You are given an array of integers nums. You are also given an integer original which is the first number that needs to be searched for in nums.

You then do the following steps:

1. If original is found in nums, multiply it by two (i.e., set original = 2 * original).
2. Otherwise, stop the process.
3. Repeat this process with the new number as long as you keep finding the number.

Return the final value of original.

Example 1:

Input: nums = [5,3,6,1,12], original = 3
Output: 24
Explanation:
- 3 is found in nums. 3 is multiplied by 2 to obtain 6.
- 6 is found in nums. 6 is multiplied by 2 to obtain 12.
- 12 is found in nums. 12 is multiplied by 2 to obtain 24.


Example 2:

Input: nums = [2,7,9], original = 4
Output: 4
Explanation:


Constraints:

• 1 <= nums.length <= 1000
• 1 <= nums[i], original <= 1000

Similar Questions:

## Solution 1. Set + Simulation

• // OJ: https://leetcode.com/problems/keep-multiplying-found-values-by-two/
// Time: O(NlogN)
// Space: O(N)
class Solution {
public:
int findFinalValue(vector<int>& A, int n) {
set<int> s(begin(A), end(A));
while (s.count(n)) n *= 2;
return n;
}
};

• class Solution:
def findFinalValue(self, nums: List[int], original: int) -> int:
s = set(nums)
while original in s:
original <<= 1
return original

############

# 2154. Keep Multiplying Found Values by Two
# https://leetcode.com/problems/keep-multiplying-found-values-by-two/

class Solution:
def findFinalValue(self, nums: List[int], original: int) -> int:
s = set(nums)
res = original
found = res in s

while found:
res *= 2
found = res in s

return res


• class Solution {
public int findFinalValue(int[] nums, int original) {
Set<Integer> s = new HashSet<>();
for (int num : nums) {
}
while (s.contains(original)) {
original <<= 1;
}
return original;
}
}

• func findFinalValue(nums []int, original int) int {
s := make(map[int]bool)
for _, num := range nums {
s[num] = true
}
for s[original] {
original <<= 1
}
return original
}

• function findFinalValue(nums: number[], original: number): number {
let set: Set<number> = new Set(nums);
while (set.has(original)) {
original *= 2;
}
return original;
}



## Solution 2. Bucket Count + Simulation

• // OJ: https://leetcode.com/problems/keep-multiplying-found-values-by-two/
// Time: O(N)
// Space: O(R) where R is the range of numbers in A
class Solution {
public:
int findFinalValue(vector<int>& A, int n) {
int seen[1001] = {};
for (int x : A) seen[x] = 1;
while (n < 1001 && seen[n]) n *= 2;
return n;
}
};

• class Solution:
def findFinalValue(self, nums: List[int], original: int) -> int:
s = set(nums)
while original in s:
original <<= 1
return original

############

# 2154. Keep Multiplying Found Values by Two
# https://leetcode.com/problems/keep-multiplying-found-values-by-two/

class Solution:
def findFinalValue(self, nums: List[int], original: int) -> int:
s = set(nums)
res = original
found = res in s

while found:
res *= 2
found = res in s

return res


• class Solution {
public int findFinalValue(int[] nums, int original) {
Set<Integer> s = new HashSet<>();
for (int num : nums) {
}
while (s.contains(original)) {
original <<= 1;
}
return original;
}
}

• func findFinalValue(nums []int, original int) int {
s := make(map[int]bool)
for _, num := range nums {
s[num] = true
}
for s[original] {
original <<= 1
}
return original
}

• function findFinalValue(nums: number[], original: number): number {
let set: Set<number> = new Set(nums);
while (set.has(original)) {
original *= 2;
}
return original;
}



## Solution 3. Sorting + One Pass

• // OJ: https://leetcode.com/problems/keep-multiplying-found-values-by-two/
// Time: O(NlogN)
// Space: O(1)
class Solution {
public:
int findFinalValue(vector<int>& A, int n) {
sort(begin(A), end(A));
for (int i = 0, N = A.size(); i < N;) {
while (i < N && A[i] < n) ++i;
if (i == N || A[i] != n) break;
n *= 2;
}
return n;
}
};

• class Solution:
def findFinalValue(self, nums: List[int], original: int) -> int:
s = set(nums)
while original in s:
original <<= 1
return original

############

# 2154. Keep Multiplying Found Values by Two
# https://leetcode.com/problems/keep-multiplying-found-values-by-two/

class Solution:
def findFinalValue(self, nums: List[int], original: int) -> int:
s = set(nums)
res = original
found = res in s

while found:
res *= 2
found = res in s

return res


• class Solution {
public int findFinalValue(int[] nums, int original) {
Set<Integer> s = new HashSet<>();
for (int num : nums) {
}
while (s.contains(original)) {
original <<= 1;
}
return original;
}
}

• func findFinalValue(nums []int, original int) int {
s := make(map[int]bool)
for _, num := range nums {
s[num] = true
}
for s[original] {
original <<= 1
}
return original
}

• function findFinalValue(nums: number[], original: number): number {
let set: Set<number> = new Set(nums);
while (set.has(original)) {
original *= 2;
}
return original;
}



## Discuss

https://leetcode.com/problems/keep-multiplying-found-values-by-two/discuss/1730124