¡Esta es una revisión vieja del documento!
let n = 16; O (1) = 1 step "(awesome!)" O (log n) = 4 steps "(awesome!)" -- assumed base 2 O (n) = 16 steps "(pretty good!)" O(n^2) = 256 steps "(uhh..we can work with this?)" O(2^n) = 65,536 steps "(...)"
function isFriend(name){ //similar to knowing the index in an Array
return friends[name];
};
isFriend('Mark') // returns True and only took one step
function add(num1,num2){ // I have two numbers, takes one step to return the value
return num1 + num2
}
//You decrease the amount of work you have to do with each step
function thisOld(num, array){
var midPoint = Math.floor( array.length /2 );
if( array[midPoint] === num) return true;
if( array[midPoint] < num ) --> only look at second half of the array
if( array[midpoint] > num ) --> only look at first half of the array
//recursively repeat until you arrive at your solution
}
thisOld(29, sortedAges)
//The number of steps you take is directly correlated to the your input size
function addAges(array){
var sum = 0;
for (let i=0 ; i < array.length; i++){ //has to go through each value
sum += array[i]
}
return sum;
}
//The number of steps you take is your input size squared
function addedAges(array){
var addedAge = [];
for (let i=0 ; i < array.length; i++){ //has to go through each value
for(let j=i+1 ; j < array.length ; j++){ //and go through them again
addedAge.push(array[i] + array[j]);
}
}
return addedAge;
}
addedAges(sortedAges);
//Nested for loops. If one for loop is linear time (n)
//Then two nested for loops are (n * n) or (n^2) Quadratic!
//The number of steps it takes to accomplish a task is a constant to the n power //Thought example: Trying to find every combination of letters for a password of length n
We will have to take into account the next three elements:
Two types of scaling:
A load balancer (software or hardware) is placed just after the request arrives to our servers. It chooses between workers which one will process the request.
Precalculate results, pre-generate expensive indexes, and storing copies of frequently accessed data in a faster backend.