Added Greedy change file in Maths folder.

Author: DevanshiPatel18

maths/greedy_coin_change.py

@@ -0,0 +1,99 @@
+"""
+Test cases:
+Do you want to enter your denominations ? (Y/N) :N
+Enter the change you want to make in Indian Currency: 987
+Following is minimal  change for 987 :
+500 100 100 100 100 50 20 10 5 2
+
+Do you want to enter your denominations ? (Y/N) :Y
+Enter number of denomination:10
+1
+5
+10
+20
+50
+100
+200
+500
+1000
+2000
+Enter the change you want to make: 18745
+Following is minimal  change for 18745 :
+2000 2000 2000 2000 2000 2000 2000 2000 2000 500 200 20 20 5
+
+Do you want to enter your denominations ? (Y/N) :N
+Enter the change you want to make: 0
+The total value cannot be zero or negative.
+Do you want to enter your denominations ? (Y/N) :N
+Enter the change you want to make: -98
+The total value cannot be zero or negative.
+
+Do you want to enter your denominations ? (Y/N) :Y
+Enter number of denomination:5
+1
+5
+100
+500
+1000
+Enter the change you want to make: 456
+Following is minimal   change for 456 :
+100 100 100 100 5 5 5 5 5 5 5 5 5 5 5 1
+"""
+
+
+def find_minimum_change(denominations: list, value: int) -> list:
+    """
+    Find the minimum change from the given denominations and value
+    >>> find_minimum_change([1, 5, 10, 20, 50, 100, 200, 500, 1000,2000], 18745)
+    [2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000, 2000, 500, 200, 20, 20, 5]
+    >>> find_minimum_change([1, 2, 5, 10, 20, 50, 100, 500, 2000], 987)
+    [500, 100, 100, 100, 100, 50, 20, 10, 5, 2]
+    >>> find_minimum_change([1, 2, 5, 10, 20, 50, 100, 500, 2000], 0)
+    []
+    >>> find_minimum_change([1, 2, 5, 10, 20, 50, 100, 500, 2000], -98)
+    []
+    >>> find_minimum_change([1, 5, 100, 500, 1000], 456)
+    [100, 100, 100, 100, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1]
+    """
+    total_value = int(value)
+
+    # Initialize Result
+    answer = []
+
+    # Traverse through all denomination
+    for denomination in reversed(denominations):
+
+        # Find denominations
+        while int(total_value) >= int(denomination):
+            total_value -= int(denomination)
+            answer.append(denomination)  # Append the "answers" array
+
+    return answer
+
+
+# Driver Code
+if __name__ == "__main__":
+
+    denominations = list()
+    value = 0
+
+    if input("Do you want to enter your denominations ? (Y/N) :") == "Y":
+        n = int(input("Enter number of denomination:"))
+
+        for i in range(0, n):
+            denominations.append(int(input().strip()))
+        value = input("Enter the change you want to make in Indian Currency: ").strip()
+    else:
+        # All denominations of Indian Currency if user does not enter
+        denominations = [1, 2, 5, 10, 20, 50, 100, 500, 2000]
+        value = input("Enter the change you want to make: ").strip()
+
+    if int(value) == 0 or int(value) < 0:
+        print("The total value cannot be zero or negative.")
+
+    else:
+        print("Following is minimal ", "change for", value, ": ")
+        answer = find_minimum_change(denominations, value)
+        # Print result
+        for i in range(len(answer)):
+            print(answer[i], end=" ")