Problem:
Score : 200 points

Problem Statement

The development of algae in a pond is as follows.

Let the total weight of the algae at the beginning of the year i be x_i gram. For i≥2000, the following formula holds:

x_{i+1} = rx_i - D

You are given r, D and x_{2000}. Calculate x_{2001}, ..., x_{2010} and print them in order.

Constraints

2 ≤ r ≤ 5

1 ≤ D ≤ 100

D < x_{2000} ≤ 200

All values in input are integers.

Input

Input is given from Standard Input in the following format:

r D x_{2000}

Output

Print 10 lines. The i-th line (1 ≤ i ≤ 10) should contain x_{2000+i} as an integer.

Sample Input 1

2 10 20

Sample Output 1

30
50
90
170
330
650
1290
2570
5130
10250

For example, x_{2001} = rx_{2000} - D = 2 \times 20 - 10 = 30 and x_{2002} = rx_{2001} - D = 2 \times 30 - 10 = 50.

Sample Input 2

4 40 60

Sample Output 2

200
760
3000
11960
47800
191160
764600
3058360
12233400
48933560

Solution in PyPy3 (2.4.0) (judge verdict: Accepted)

# def gcd(a_gcd, b_gcd):
#     while b_gcd != 0:
#         a_gcd, b_gcd = b_gcd, a_gcd % b_gcd
#     return a_gcd
#
#
# def lcm(a_lcm, b_lcm):
#     return a_lcm * b // gcd(a_lcm, b_lcm)
#
#
# def max_sum(N_max_sum, a_max_sum):
#     dp = [0] * (N_max_sum + 1)
#     for i in range(N_max_sum):
#         dp[i + 1] = max(dp[i], dp[i] + a_max_sum[i])
#     return dp[N]
#
#
# def knapsack(N_knapsack, W, weight, value):
#     inf = float("inf")
#     dp = [[-inf for _ in range(W+1)] for j in range(N_knapsack + 1)]
#     for i in range(W+1):
#         dp[0][i] = 0
#
#     for i in range(N_knapsack):
#         for w in range(W+1):
#             if weight[i] <= w:
#                 dp[i+1][w] = max(dp[i][w-weight[i]]+value[i], dp[i][w])
#             else:
#                 dp[i+1][w] = dp[i][w]
#     return dp[N_knapsack][W]
#
#
# class UnionFind:
#     def __init__(self, n):
#         self.par = [i for i in range(n+1)]
#         self.rank = [0] * (n+1)
#
#     # 検索
#     def find(self, x):
#         if self.par[x] == x:
#             return x
#         else:
#             self.par[x] = self.find(self.par[x])
#             return self.par[x]
#
#     # 併合
#     def union(self, x, y):
#         x = self.find(x)
#         y = self.find(y)
#         if self.rank[x] < self.rank[y]:
#             self.par[x] = y
#         else:
#             self.par[y] = x
#             if self.rank[x] == self.rank[y]:
#                 self.rank[x] += 1
#
#     # 同じ集合に属するか判定
#     def same_check(self, x, y):
#         return self.find(x) == self.find(y)
#
# S = input()
# N = int(input())
# A = list(map(int, input().split()))
# X = [int(input()) for _ in range(N)]

r, D, x = map(int, input().split())

for i in range(1, 11):
    x = r * x - D
    print(x)