Example: [130, 110, 1] 220
public class Solution {
public int coinChange(int[] coins, int amount) {
if (coins == null || coins.length == 0) return -1;
Arrays.sort(coins);
return numberOfCoins(coins, coins.length - 1, amount);
}
private int numberOfCoins(int[] coins, int coinIndex, int remainAmount) {
if (remainAmount == 0) return 0;
if (coinIndex < 0) return -1;
int numberOfCurrentCoin = remainAmount / coins[coinIndex];
while (numberOfCurrentCoin >= 0) {
int numberOfRemainCoin = numberOfCoins(coins, coinIndex-1, remainAmount - numberOfCurrentCoin * coins[coinIndex]);
if (numberOfRemainCoin >= 0) return numberOfRemainCoin + numberOfCurrentCoin;
numberOfCurrentCoin--;
}
return -1;
}
}
Iterative solution:https://leetcode.com/discuss/76217/java-both-iterative-recursive-solutions-with-explanations
public class Solution {
public int coinChange(int[] coins, int amount) {
if (coins == null || coins.length == 0) return -1;
if (amount <= 0) return 0;
int[] minCoins = new int[amount + 1];
minCoins[0] = 0;
for (int i = 1; i <= amount; i++) {
minCoins[i] = Integer.MAX_VALUE;
for (int coin : coins) {
if (i - coin >= 0 && minCoins[i - coin] != Integer.MAX_VALUE) {
minCoins[i] = Math.min(minCoins[i], minCoins[i - coin] + 1);
}
}
}
return minCoins[amount] == Integer.MAX_VALUE ? -1 : minCoins[amount];
}
}
Recursive solution:
public class Solution {
public int coinChange(int[] coins, int amount) {
if (coins == null || coins.length == 0) return -1;
if (amount <= 0) return 0;
HashMap<Integer, Integer> amountToCoinNumber = new HashMap<Integer, Integer>();
return coinChangeHelper(coins, amount, amountToCoinNumber);
}
private int coinChangeHelper(int[] coins, int amount, HashMap<Integer, Integer> amountToCoinNumber){
if (amount == 0) return 0;
if (amount < 0) return -1;
if (amountToCoinNumber.containsKey(amount)) return amountToCoinNumber.get(amount);
int minimumNumber = -1;
for (int coin : coins) {
int remainNumber = coinChangeHelper(coins, amount - coin, amountToCoinNumber);
if (remainNumber >= 0) {
minimumNumber = Math.min(minimumNumber == - 1 ? Integer.MAX_VALUE : minimumNumber , remainNumber + 1);
}
}
amountToCoinNumber.put(amount, minimumNumber);
return amountToCoinNumber.get(amount);
}
}
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