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Limits
500ms, 512 MB

Arithmetic Sequence is a sequence of numbers where the difference between two consecutive numbers are same. For example, the sequence 2, 4, 6, 8, 10, ..., n is an arithmetic sequence where the difference between consecutive numbers is 2.

Carl Friedrich Gauss is known to be one of the best mathematician of all time. A story about his childhood goes like this: When Gauss was nine years old, his teacher asked him to add numbers from 1 to 100, thinking it would keep Gauss busy for a while. But Gauss came up with the answer very quickly instead. He found the following observation very helpful while solving the problem:

```
1 + 2 + 3 + 4 + 5 + ... + 100
100 + 99 + 98 + 97 + 96 + ... + 1
-----------------------------------
⇒ (100+1) + (99+2) + (98+3) + (97+4) + (96+5) + ... + (1+100)
101 + 101 + 101 + 101 + 101 + ... + 101
```

Since there are 100 terms each having the value of 101, the answer should be (100×101)/2, because each number from 1 to 100 were added twice in this summation. So, if a person is given n, he can easily calculate the sum from 1 to n with a simple formula.

In this problem, you will be given an integer N, you will have to find the summation of integers from 1 to N. To make a the problem a bit more challenging, you will also be asked to subtract some of the numbers from this summation.

The first line contains an integer **N** ( 1 ≤ N ≤ 100 ), the length of the arithmetic sequence. The next line will contain an integer **M** ( 1 ≤ M ≤ N ), the amount of numbers that will be subtracted from the sequence. The following M lines will have M integers **Mi** (1 ≤ Mi ≤ N), the numbers that will be subtracted from the sequence. Each of these M numbers will be unique.

Output a single integer, the result of the arithmetic sequence after subtracting the given numbers.

Input | Output |
---|---|

3 1 3 | 3 |

Input | Output |
---|---|

3 2 1 2 | 3 |

99% Solution Ratio

aminulEarliest,

oneoff.ZQa4IH1LSeFastest, 0.0s

m_ronyLightest, 0 B

FahimSifnatulShortest, 72B

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