### leetcode 1512. Number of Good Pairs faster than 92.15% of JavaScript online submissions

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The way I approached the problem was that we are only looking for equivalent pairs. Meaning if our current value is a 1, the only other values we are concerned with is other 1 values. in [ 1,2,3,4,1,2,3,4,1] when looking at value of once, we only care about index 0 and index 4

Rather then loop through the array every time we need a change values, lets loop through the array one time, and put all the equivalent values together. example. lets get [1,1,1] [2,2] [3,3] [4,4]

To get them all together in one pass, use a dictionary to hold values that are the same. I pushed the index values into the array, but that’s actually not needed. Next step will tell us why

Once we have all equivalent values together, such as [1,1,1] we could loop trough the sub array and make combinations. But using math we actually shorten this, not needed to manually make combinations. I figured there must be a mathematical way to do this. This stackoverflow link gave me the correct mathematical formula to proceed.

``````var numIdenticalPairs = function(nums) {
let d = {}     //create dictionary
nums.forEach( (e,index)=> {  //iterate over array
//if key does not exist, add it
if(d[e] === undefined){ d[e] = [index]}
//else push value to key's array
else { d[e].push(index) }
})
let pairs = 0
Object.keys(d).forEach(key=>{     //get count of pairs
let n = d[key].length
pairs += (n * (n-1))/2
})
return pairs
};``````