class Solution {
public:
    int numOfWays(vector<int>& nums) {
        int m = nums.size();
        
        table.resize( m + 1);
        for(int i = 0; i < m + 1; ++i){
            table[i] = vector<long long> (i+1, 1);
            for(int j = 1; j < i ; ++j)
                table[i][j] = (table[i-1][j-1] + table[i-1][j])%mod;
        }
        return (dfs(nums) - 1) % mod;
    }
private:
    vector<vector<long long>> table;
    long long mod = 1e9+7;
    
    long long dfs(vector<int>& nums){
        int m = nums.size();
        if( m  < 3)
            return 1;
        vector<int> leftNodes, rightNodes;
        for(int i = 1; i < m ; i++){
            if( nums[i] < nums[0])
                leftNodes.push_back(nums[i]);
            else
                rightNodes.push_back(nums[i]);
        }
        long long leftWays = dfs(leftNodes) % mod;
        long long rightWays = dfs(rightNodes) % mod;
        return (((leftWays * rightWays) % mod) * table[m-1][leftNodes.size()])%mod;
    }
};