# Turn Into Non-Increasing List - Google Top Interview Questions

### Problem Statement :

```You are given a list of integers nums.

Consider an operation where we take two consecutive integers and merge it into one by taking their sum.

Return the minimum number of operations required so that the list becomes non-increasing.

Constraints

n ≤ 1,000 where n is the length of nums.

Example 1

Input

nums = [1, 5, 3, 9, 1]

Output

2

Explanation

We can merge [1, 5] to get [6, 3, 9, 1] and then merge [6, 3] to get [9, 9, 1].

Example 2

Input

nums = [3]

Output

0

Example 3

Input

nums = [9, 9]

Output

0```

### Solution :

```                        ```Solution in C++ :

map<int, int> dp[1005];
int solve(vector<int>& v) {
reverse(v.begin(), v.end());
int n = v.size();
for (int i = 0; i <= n; i++) dp[i].clear();
dp[0][0] = 0;
for (int i = 0; i < n; i++) {
int currsum = 0;
vector<pair<int, int>> cands;
for (int j = i; j >= 0; j--) {
currsum += v[j];
auto it = dp[j].upper_bound(currsum);
if (it == dp[j].begin()) continue;
it--;
cands.emplace_back(currsum, it->second + 1);
}
sort(cands.begin(), cands.end());
int lowestcount = -1;
for (auto cand : cands) {
if (cand.second <= lowestcount) continue;
dp[i + 1][cand.first] = cand.second;
lowestcount = cand.second;
}
}
int ret = 0;
for (auto out : dp[n]) ret = max(ret, out.second);
return n - ret;
}```
```

```                        ```Solution in Python :

class Solution:
def solve(self, nums):

inf = 10 ** 9

@lru_cache(None)
def rec(i, maxi):

if i == len(nums):
return 0

sm = 0
ans = -inf
for ptr in range(i, len(nums)):
sm += nums[ptr]
if sm > maxi:
break
ans = max(ans, rec(ptr + 1, sm) + 1)
if ans > 0:
break

return ans

return len(nums) - rec(0, 1000000000)```
```

## Reverse a doubly linked list

This challenge is part of a tutorial track by MyCodeSchool Given the pointer to the head node of a doubly linked list, reverse the order of the nodes in place. That is, change the next and prev pointers of the nodes so that the direction of the list is reversed. Return a reference to the head node of the reversed list. Note: The head node might be NULL to indicate that the list is empty.

## Tree: Preorder Traversal

Complete the preorder function in the editor below, which has 1 parameter: a pointer to the root of a binary tree. It must print the values in the tree's preorder traversal as a single line of space-separated values. Input Format Our test code passes the root node of a binary tree to the preOrder function. Constraints 1 <= Nodes in the tree <= 500 Output Format Print the tree's

## Tree: Postorder Traversal

Complete the postorder function in the editor below. It received 1 parameter: a pointer to the root of a binary tree. It must print the values in the tree's postorder traversal as a single line of space-separated values. Input Format Our test code passes the root node of a binary tree to the postorder function. Constraints 1 <= Nodes in the tree <= 500 Output Format Print the

## Tree: Inorder Traversal

In this challenge, you are required to implement inorder traversal of a tree. Complete the inorder function in your editor below, which has 1 parameter: a pointer to the root of a binary tree. It must print the values in the tree's inorder traversal as a single line of space-separated values. Input Format Our hidden tester code passes the root node of a binary tree to your \$inOrder* func

## Tree: Height of a Binary Tree

The height of a binary tree is the number of edges between the tree's root and its furthest leaf. For example, the following binary tree is of height : image Function Description Complete the getHeight or height function in the editor. It must return the height of a binary tree as an integer. getHeight or height has the following parameter(s): root: a reference to the root of a binary

## Tree : Top View

Given a pointer to the root of a binary tree, print the top view of the binary tree. The tree as seen from the top the nodes, is called the top view of the tree. For example : 1 \ 2 \ 5 / \ 3 6 \ 4 Top View : 1 -> 2 -> 5 -> 6 Complete the function topView and print the resulting values on a single line separated by space.