### 322 Coin Change

```/**
*
* Ashish Patel
* e: ashishsushilPatel@gmail.com
* w: https://ashish.me
*
*/

/*
* You are given coins of different denominations and a total amount of
* money amount. Write a function to compute the fewest number of coins
* that you need to make up that amount. If that amount of money cannot
* be made up by any combination of the coins, return -1. *
* You may assume that you have an infinite number of each kind of coin *
*
* Example 1: *
* Input: coins = [1,2,5], amount = 11
* Output: 3
* Explanation: 11 = 5 + 5 + 1
*/

const coinChange = (coins, amount) => {
let dp = []
for (let i = 0; i < amount + 1; i++) {
dp[i] = Number.MAX_VALUE
}
dp = 0
for (let i = 1; i < amount + 1; i++) {
for (let j = 0; j < coins.length; j++) {
if (i - coins[j] >= 0) {
dp[i] = Math.min(dp[i], dp[i - coins[j]] + 1)
}
}
}
return dp[amount] === Number.MAX_VALUE ? -1 : dp[amount]
}

test('coinChange', () => {
expect(coinChange([1, 2, 5], 11)).toEqual(3)
})```

Created 2021-03-16T01:17:25+05:30 · Edit