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Coin Change Algorithm Using Dynamic Programming
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import java.util.Scanner; | |
/** | |
* | |
* @author Shaon Bhatta Shuvo | |
*/ | |
public class CoinChangeDP { | |
public static void main(String[] args){ | |
Scanner input = new Scanner(System.in); | |
int n, amount; | |
System.out.println("Enter the amount you want change: "); | |
amount = input.nextInt(); | |
System.out.println("How many different set of coins are available: "); | |
n = input.nextInt(); | |
int coin[] = new int[n]; | |
System.out.println("Enter the set of available coins in ascending oreder: "); | |
for (int i = 0; i < n; i++) { | |
coin[i]=input.nextInt(); | |
} | |
coinChange(coin, amount); | |
} | |
private static void coinChange(int[] coin, int amount) { | |
int row = coin.length; | |
int col = amount+1; | |
int table[][] = new int[row][col]; | |
//assigning value to the first coloumn | |
for (int i = 0; i < row; i++) { | |
table[i][0]=0; | |
} | |
//assinging value of the first row | |
for (int j = 1; j < col; j++) { | |
table[0][j] = j/coin[0]; | |
} | |
//assing value to the rest of table | |
for (int i = 1; i <row; i++) { | |
for (int j = 1; j <col; j++) { | |
if (j<coin[i]) { | |
table[i][j]=table[i-1][j]; | |
}else{ | |
table[i][j]=Math.min(table[i-1][j], table[i][j-coin[i]]+1); | |
} | |
} | |
} | |
System.out.println("Minimum number of coins : "+table[row-1][col-1]); | |
//finding the set of coins required to get the value | |
int i = row-1,j = col-1, count=0; | |
System.out.print("Required coins are: "); | |
while(i>0 && j>0){ | |
if(table[i-1][j]==table[i][j]){ | |
i--; | |
continue; | |
} | |
//printing the required coins or it can be stored in a seperate array as well. | |
System.out.print(coin[i]+" "); | |
j = j-coin[i]; | |
amount = amount-coin[i]; | |
count++; | |
} | |
//if required coins also includes the first coin | |
if(count!=table[row-1][col-1]){ | |
System.out.print(coin[i]); | |
amount = amount- coin[i]; | |
} | |
//checking wheather the problem has a solution or will left with some remaining values! | |
if(amount !=0){ | |
System.out.println("Problem does't have a solution for given set of coins as still amount "+amount+"Tk. has to be changed! "); | |
} | |
} | |
} |
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