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Added CoinChange Algorithm #260

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Merged
merged 4 commits into from
Aug 19, 2020
Merged

Added CoinChange Algorithm #260

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f8ff286
Added CoinChange Algorithm
Aug 15, 2020
7b29e4d
Minor Changes
Aug 15, 2020
9a948f7
Minor Changes
Aug 15, 2020
6620487
Minor Changes
Aug 15, 2020
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45 changes: 45 additions & 0 deletions Dynamic-Programming/CoinChange.js
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Original file line number Diff line number Diff line change
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function change (coins, amount) {
const combinations = new Array(amount + 1).fill(0)
combinations[0] = 1

for (let i = 0; i < coins.length; i++) {
const coin = coins[i]

for (let j = coin; j < amount + 1; j++) {
combinations[j] += combinations[j - coin]
}
}
return combinations[amount]
}

function minimumCoins (coins, amount) {
// minimumCoins[i] will store the minimum coins needed for amount i
const minimumCoins = new Array(amount + 1).fill(0)

minimumCoins[0] = 0

for (let i = 1; i < amount + 1; i++) {
minimumCoins[i] = Number.MAX_SAFE_INTEGER
}
for (let i = 1; i < amount + 1; i++) {
for (let j = 0; j < coins.length; j++) {
const coin = coins[j]
if (coin <= i) {
const subRes = minimumCoins[i - coin]
if (subRes !== Number.MAX_SAFE_INTEGER && subRes + 1 < minimumCoins[i]) {
minimumCoins[i] = subRes + 1
}
}
}
}
return minimumCoins[amount]
}

function main () {
const amount = 12
const coins = [2, 4, 5]
console.log('Number of combinations of getting change for ' + amount + ' is: ' + change(coins, amount))
console.log('Minimum number of coins required for amount :' + amount + ' is: ' + minimumCoins(coins, amount))
}

main()