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A. Tanya and Stairways

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputLittle girl Tanya climbs the stairs inside a multi-storey building. Every time Tanya climbs a stairway, she starts counting steps from $$$1$$$ to the number of steps in this stairway. She speaks every number aloud. For example, if she climbs two stairways, the first of which contains $$$3$$$ steps, and the second contains $$$4$$$ steps, she will pronounce the numbers $$$1, 2, 3, 1, 2, 3, 4$$$.

You are given all the numbers pronounced by Tanya. How many stairways did she climb? Also, output the number of steps in each stairway.

The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.

Input

The first line contains $$$n$$$ ($$$1 \le n \le 1000$$$) — the total number of numbers pronounced by Tanya.

The second line contains integers $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 1000$$$) — all the numbers Tanya pronounced while climbing the stairs, in order from the first to the last pronounced number. Passing a stairway with $$$x$$$ steps, she will pronounce the numbers $$$1, 2, \dots, x$$$ in that order.

The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.

Output

In the first line, output $$$t$$$ — the number of stairways that Tanya climbed. In the second line, output $$$t$$$ numbers — the number of steps in each stairway she climbed. Write the numbers in the correct order of passage of the stairways.

Examples

Input

7

1 2 3 1 2 3 4

Output

2

3 4

Input

4

1 1 1 1

Output

4

1 1 1 1

Input

5

1 2 3 4 5

Output

1

5

Input

5

1 2 1 2 1

Output

3

2 2 1

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