题目描述
There is a staircase with N steps. Takahashi is now standing at the foot of the stairs, that is, on the 0-th step.
He can climb up one or two steps at a time.
However, the treads of the $a_1-th, a_2-th, a_3-th, \ldots, a_M-th$ steps are broken, so it is dangerous to set foot on those steps.
How many are there to climb up to the top step, that is, the N-th step, without setting foot on the broken steps?
Find the count modulo 1\ 000\ 000\ 007.
-----Constraints-----
- $1 \leq N \leq 10^5$
- $0 \leq M \leq N-1$
- $1 \leq a_1 < a_2 < ... < a_M \leq N-1$
-----Input-----
Input is given from Standard Input in the following format:
N M
a_1
a_2
.
.
.
a_M
-----Output-----
Print the number of ways to climb up the stairs under the condition, modulo 1\ 000\ 000\ 007.
-----Sample Input-----
6 1
3
-----Sample Output-----
4
There are four ways to climb up the stairs, as follows:
- $0 \to$ $1 \to$ $2 \to$ $4 \to$ $5 \to$ 6
- $0 \to$ $1 \to$ $2 \to$ $4 \to$ 6
- $0 \to$ $2 \to$ $4 \to$ $5 \to$ 6
- $0 \to$ $2 \to$ $4 \to$ 6
输入格式
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输出格式
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