There are ~N~ stones, numbered ~1, 2, \dots, N~. For each ~i~ ~(1 \le i \le N)~, the height of Stone ~i~ is ~h_i~. Here, ~h_1 < h_2 < \dots < h_N~ holds.

There is a frog who is initially at Stone ~1~. He will repeat the following action some number of times to reach Stone ~N~:

• If the frog is currently on Stone ~i~, jump to one of the following stones: Stone ~i+1, i+2, \dots, N~. Here, a cost of ~(h_j - h_i)^2 + C~ is incurred, where ~j~ is the stone to land on.

Find the minimum possible total cost incurred before the frog reaches Stone ~N~.

Constraints

• All values in input are integers.
• ~2 \le N \le 2 \times 10^5~
• ~1 \le C \le 10^{12}~
• ~1 \le h_1 < h_2 < \dots < h_N \le 10^6~

Input Specification

The first line will contain two integers ~N, C~.

The second line will contain ~N~ integers, ~h_i~.

Output Specification

Print the minimum possible total cost incurred.

Sample Input 1

5 6
1 2 3 4 5

Sample Output 1

20

Explanation For Sample 1

If we follow the path ~1 \to 3 \to 5~, the total cost incurred would be ~((3-1)^2+6) + ((5-3)^2+6) = 20~.

Sample Input 2

2 1000000000000
500000 1000000

Sample Output 2

1250000000000

Explanation For Sample 2

The answer may not fit into a 32-bit integer type.

Sample Input 3

8 5
1 3 4 5 10 11 12 13

Sample Output 3

62

Explanation For Sample 3

If we follow the path ~1 \to 2 \to 4 \to 5 \to 8~, the total cost incurred would be ~((3-1)^2+5) + ((5-3)^2+5) + ((10-5)^2+5) + ((13-10)^2+5) = 62~.