# Chief Hopper

### Problem Statement :

```Chief's bot is playing an old DOS based game. There is a row of buildings of different heights arranged at each index along a number line. The bot starts at building  and at a height of . You must determine the minimum energy his bot needs at the start so that he can jump to the top of each building without his energy going below zero.

Units of height relate directly to units of energy. The bot's energy level is calculated as follows:

If the bot's  is less than the height of the building, his
If the bot's  is greater than the height of the building, his

Function Description

Complete the chiefHopper function in the editor below.

chiefHopper has the following parameter(s):

int arr[n]: building heights
Returns

int: the minimum starting

Input Format

The first line contains an integer , the number of buildings.

The next line contains  space-separated integers , the heights of the buildings.```

### Solution :

```                            ```Solution in C :

In  C :

#include <stdio.h>
#include <stdlib.h>

int main() {
int n, *h, i;
unsigned long long tot;

scanf("%d",&n);
h = malloc(n * sizeof(int));
for (i=0; i<n; i++) scanf("%d",&h[i]);

tot = 0;
i--;
while (i>=0) {
tot += h[i];
if (tot & 1) tot++;
tot /= 2;
i--;
}

printf("%lld\n",tot);

return 0;
}```
```

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

In  C++  :

#include <vector>
#include <list>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <algorithm>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <ctime>
#include <limits>
#include <cstring>
#include <string>
using namespace std;

#define pairii pair<int, int>
#define llong long long
#define pb push_back
#define sortall(x) sort((x).begin(), (x).end())
#define INFI  numeric_limits<int>::max()
#define INFLL numeric_limits<llong>::max()
#define INFD  numeric_limits<double>::max()
#define FOR(i,s,n) for (int (i) = (s); (i) < (n); (i)++)
#define FORZ(i,n) FOR((i),0,(n))

const int MAXN = 100005;
int ar[MAXN];

void solve() {
int n;
scanf("%d",&n);
FORZ(i,n) scanf("%d",ar+i);
int res = 0;
for (int i = n-1; i >= 0; i--) {
int x = res + ar[i];
res = x/2 + x%2;
}
printf("%d",res);
}

int main() {
#ifdef DEBUG
freopen("in.txt", "r", stdin);
freopen("out.txt", "w", stdout);
#endif
solve();
return 0;
}```
```

```                        ```Solution in Java :

In  Java :

import java.util.Scanner;

public class Solution {

public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int n = in.nextInt();
String s = in.nextLine();
int[] heights = new int[n];
for(int i = 0; i < n; i++) {
heights[i] = in.nextInt();
}
System.out.println(calcMinEnergy(heights));
}

public static long calcMinEnergy(int[] heights) {
if(heights.length < 1) return 0;
long energy = 0;
for(int i = 0; i < heights.length; i++) {
long tmp = energy + heights[heights.length - 1 - i];
int one = (int)(tmp % 2);
energy = tmp / 2 + one;
}
return energy;
}
}```
```

```                        ```Solution in Python :

In  Python3 :

N = int(input())
heights = [int(n) for n in input().split()]

max_h = max(heights)

interval = [1, max_h]

def get_final_energy(e, heights):
for h in heights:
e = 2 * e - h
return e

while interval[0] < interval[1] - 1:
mid = (interval[0] + interval[1]) // 2
fe = get_final_energy(mid, heights)
if fe >= 0:
interval[1] = mid
else:
interval[0] = mid

if get_final_energy(interval[0], heights) >= 0:
print(interval[0])
else:
print(interval[1])```
```

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