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//Binary Search implementation //Time Complexity: O (log n) //return int {-1 , mid index}
int binarySearch(int tar, vector<int>& arr){
int lo=0, md, hi=arr.size()-1;
while(hi>=lo){
md=(lo+hi)/2;
if(arr[md]==tar) return md;
else if(arr[md]<tar) lo=md+1;
   		else hi=md-1;
}
return -1;
}
---------------------------------------------------------------------------------------------------
//Binary Search by using Stls //Time Complexity: O (log n)
// for binary search in containers like vector (let target element=6)
binary_search(v.begin(), v.end(), 6); 
// return 1 or 0 as present or not
---------------------------------------------------------------------------------------------------
//binary search with lower and upper bound by using stls
int x, ans; //x is passing value, ans is a value you want, v --> vector or any container
ans = lower_bound(v.begin(), v.end(), x) - v.begin(); //ans >= x (equal number or first number after x)
ans = upper_bound(v.begin(), v.end(), x) - v.begin(); // ans > x (first number after x)
---------------------------------------------------------------------------------------------------
// Two Pointer implementation
// Two pointer technique based solution to find
// if there is a pair in A[0..N-1] with a given sum.
int isPairSum(int A[], int N, int X)
{
    // represents first pointer
    int i = 0;
  
    // represents second pointer
    int j = N - 1;
  
    while (i < j) {
      
        int curSum = A[i]+arr[j];
      
        // If we find a pair
        if curSum == X)
            return 1;
  
        // If sum of elements at current
        // pointers is less, we move towards
        // higher values by doing i++
        else if (curSum < X)
            i++;
  
        // If sum of elements at current
        // pointers is more, we move towards
        // lower values by doing j--
        else
            j--;
    }
    return 0;
}
//Sum of numbers from 1 ---> n
int n, sum;
sum = (n*(n+1))/2;
 
//flooring integer number (int)        "floor أرضيه"
int a=5, b=2;
int n = a/b; // n= 2
 
//Ceiling integer number (int)          "ceil سقف"
int a=5, b=2;
int ans = (a+(b-1))/b; //n=3
 
//Division Theory 
int a=10, b=3;     // a ---> numerator البسط / b ---> denominator المقام
int ans = a/b;     // n= 3
//meaning:
//1- you can give everyone of b ans
//2- ans is a number of numbers from 1--> a which is divisible by b (find multiple in Range)
 
//Number of Steps
# Infinity, and it's brother minus infinity, 
# comes in handy once in a while.


my_inf = float('Inf') 
99999999 > my_inf 
-> False 
 
my_neg_inf = float('-Inf') 
my_neg_inf > -99999999 
-> False 
def fibonacci(n):
    # return a list of fibonacci numbers
    numbers = [0, 1]
    for i in range(2,n):
        numbers.append(numbers[i-1] + numbers[i-2])
    return numbers[0:n]
const arrAvg = arr => arr.reduce((a,b) => a + b, 0) / arr.length
// arrAvg([20, 10, 5, 10]) -> 11.25
const arrSum = arr => arr.reduce((a,b) => a + b, 0)
// arrSum([20, 10, 5, 10]) -> 45
const arrMax = arr => Math.max(...arr);
// arrMax([20, 10, 5, 10]) -> 20
const arrMin = arr => Math.min(...arr);
// arrMin([20, 10, 5, 10]) -> 5

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Wed Aug 17 2022 20:33:33 GMT+0000 (UTC)

#c++ #math
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Mon Feb 28 2022 08:47:17 GMT+0000 (UTC) https://www.quora.com/What-are-some-cool-Python-tricks

#python #math #physics #stem
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Thu Jan 06 2022 08:26:09 GMT+0000 (UTC) https://stackoverflow.com/questions/21857619/fibonacci-sequence-using-list-in-python

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Mon Mar 23 2020 07:13:49 GMT+0000 (UTC) https://www.30secondsofcode.org/python/s/max-by/

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Sun Jan 05 2020 19:39:47 GMT+0000 (UTC) https://codeburst.io/javascript-arrays-finding-the-minimum-maximum-sum-average-values-f02f1b0ce332

#javascript #webdev #arrays #math
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Sun Jan 05 2020 19:37:35 GMT+0000 (UTC) https://codeburst.io/javascript-arrays-finding-the-minimum-maximum-sum-average-values-f02f1b0ce332

#javascript #webdev #arrays #math
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Sun Jan 05 2020 19:35:54 GMT+0000 (UTC) https://codeburst.io/javascript-arrays-finding-the-minimum-maximum-sum-average-values-f02f1b0ce332

#javascript #webdev #javascript #arrays #math
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Sun Jan 05 2020 19:31:48 GMT+0000 (UTC) https://codeburst.io/javascript-arrays-finding-the-minimum-maximum-sum-average-values-f02f1b0ce332

#javascript #webdev #arrays #math

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