class Solution{
    
    public:
    // Your are required to complete this function
    // function should return root of the modified BST
    void inorder(Node* root, vector<int>& bst){
        if(!root)
            return;
        inorder(root->left, bst);
        bst.push_back(root->data);
        inorder(root->right, bst);
    }
    
    Node* build(int l , int r, vector<int>& bst){
        if(l > r)
            return nullptr;
        if(l == r)
            return new Node(bst[l]);
        int m = (l + r)/2;
        Node* root = new Node(bst[m]);
        root->left = build(l, m-1,bst);
        root->right = build(m+1,r,bst);
        return root;
    }
    Node* buildBalancedTree(Node* root)
    {
    	// Code here
    	vector<int> bst;
    	inorder(root, bst);
    	return build(0, bst.size() - 1, bst);
    }
};

class Solution{

public:
    int searchBST(Node* root, int target, int ans = -1){
        if(!root){
            return ans;
        }
        if(root->data <= target){
            ans = root->data;
            return searchBST(root->right,target, ans);
        }
        return searchBST(root->left, target, ans);
        
    }
    int floor(Node* root, int x) {
        // Code here
        if(!root )  return -1;
        return searchBST(root, x);
    }
};

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;
    }
};