Problem:
Score : 300 points

Problem Statement

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 1

6 1
3

Sample Output 1

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

Sample Input 2

10 2
4
5

Sample Output 2

0

There may be no way to climb up the stairs without setting foot on the broken steps.

Sample Input 3

100 5
1
23
45
67
89

Sample Output 3

608200469

Be sure to print the count modulo 1\ 000\ 000\ 007.

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Runtime Error)


import java.util.Arrays;
import java.util.Scanner;

public class Main {
    private static int MOD = 1000000007;
    public static void main(String[] args) {
        //コード
        Scanner scanner = new Scanner(System.in);
        Integer N = Integer.parseInt(scanner.next());
        Integer M = Integer.parseInt(scanner.next());

        boolean[] isSafe = new boolean[N];
        Arrays.fill(isSafe, true);
        for(int i = 0; i < M; i++) {
            int a = Integer.parseInt(scanner.next());
            isSafe[a] = false;
        }

        Long[] dp = new Long[N+1];
        Arrays.fill(dp, 0L);
        dp[0] = 1L;
        if(isSafe[1]) dp[1] = 1L;

        for(int i = 2; i <= N; i++) {
            if (isSafe[i-1]) dp[i] += dp[i-1];
            if (isSafe[i-2]) dp[i] += dp[i-2];
            dp[i] %= MOD; // 1000000007 で割る
        }
        System.out.println(dp[N]);
    }
}