description: Pchelyonok decided to give Mila a gift. Pchelenok has already bought an array a of length n, but gifting an array is too common. Instead of that, he decided to gift Mila the segments of that array!
  
  Pchelyonok wants his gift to be beautiful, so he decided to choose k non-overlapping segments of the array [l_1,r_1], [l_2,r_2], … [l_k,r_k] such that:
  
    * the length of the first segment [l_1,r_1] is k, the length of the second segment [l_2,r_2] is k-1, …, the length of the k-th segment [l_k,r_k] is 1 
    * for each i<j, the i-th segment occurs in the array earlier than the j-th (i.e. r_i<l_j) 
    * the sums in these segments are strictly increasing (i.e. let sum(l … r) = ∑_{i=l}^{r} a_i — the sum of numbers in the segment [l,r] of the array, then sum(l_1 … r_1) < sum(l_2 … r_2) < … < sum(l_k … r_k)). 
  
  
  
  Pchelenok also wants his gift to be as beautiful as possible, so he asks you to find the maximal value of k such that he can give Mila a gift!
  
  Input
  
  The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test cases. The next 2 ⋅ t lines contain the descriptions of test cases. The description of each test case consists of two lines.
  
  The first line of each test case contains a single integer n (1 ≤ n ≤ 10^5) — the length of the array.
  
  The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 10^9) — the elements of the array a.
  
  It is guaranteed that the sum of n over all test cases does not exceed 10^5.
  
  Output
  
  For each test case, print the maximum possible value of k.
  
  Example
  
  Input
  
  
  5
  1
  1
  3
  1 2 3
  5
  1 1 2 2 3
  7
  1 2 1 1 3 2 6
  5
  9 6 7 9 7
  
  
  Output
  
  
  1
  1
  2
  3
  1
solution:     import java.io.BufferedReader;
      import java.io.FileInputStream;
      import java.io.FileNotFoundException;
      import java.io.IOException;
      import java.io.InputStreamReader;
      import java.util.*;
  import java.util.concurrent.LinkedBlockingDeque;
  import java.io.PrintStream;
      import java.io.PrintWriter;
      import java.io.DataInputStream;
  
          public class Solution {
  
              public static boolean Local(){
                  try{ 
                      return System.getenv("LOCAL_SYS")!=null;
                  }catch(Exception e){
                      return false;
                  }
              }   
  
              public static boolean LOCAL;
  
              static class FastScanner {
  
                      BufferedReader br;
                      StringTokenizer st ;
  
                      FastScanner(){
                          br =  new BufferedReader(new InputStreamReader(System.in));
                          st = new StringTokenizer("");
                      }
  
                      FastScanner(String file) {
  
                          try{
                              br =  new BufferedReader(new InputStreamReader(new FileInputStream(file)));
                              st = new StringTokenizer("");
                          }catch(FileNotFoundException e) {
                              // TODO Auto-generated catch block
                              System.out.println("file not found");
                              e.printStackTrace();
                          }
                          
                      }
                      
  
                      String next() {
                          while (!st.hasMoreTokens())
                              try {
                                  st = new StringTokenizer(br.readLine());
                              } catch (IOException e) {
                              }
                          return st.nextToken();
                      }
  
                      int nextInt() {
                          return Integer.parseInt(next());
                      }
  
                      long nextLong() {
                          return Long.parseLong(next());
                      }
                      String readLine() throws IOException{
                          return br.readLine();
                      }
                  }
                                      
              static class Pair<T,X> {
  
                  T first;
                  X second;
                  
                  Pair(T first,X second){
                      this.first = first;
                      this.second = second;
                  }
  
                  @Override
                  public int hashCode(){
                      return Objects.hash(first,second);
                  }
  
                  @Override
                  public boolean equals(Object obj){
                      return obj.hashCode() == this.hashCode();
                  }
  
              }
  
          
          static PrintStream debug = null;
          
          
          static long mod = (long)(Math.pow(10,9) + 7); 
          
  
          public static void main(String[] args) throws Exception {
              
              FastScanner s = new FastScanner();
  
              LOCAL = Local();
  
              //PrintWriter pw = new PrintWriter(System.out);
  
  
              
              if(LOCAL){
                  s = new FastScanner("src/input.txt");
                  PrintStream o = new PrintStream("src/sampleout.txt");
                  debug = new PrintStream("src/debug.txt");
                  System.setOut(o);
              //  pw = new PrintWriter(o);
              }
  
  
              
              long mod = 1000000007;
  
          
              int tcr =  s.nextInt();                  
              
              StringBuilder sb = new StringBuilder();
  
  
              for(int tc=0;tc<tcr;tc++){
                  
                  int n = s.nextInt();
                  
                  int arr[] = new int[n];
                  
                  for(int i=0;i<n;i++){
                      arr[i] = s.nextInt();
                  }
  
                 // println(n+"--");
  
                  long prefix[] = new long[n+1];
                  for(int i=1;i<=n;i++){
                      prefix[i] = prefix[i-1] + (arr[i-1]*1l);
                  }
  
                  int max_k = (int)Math.sqrt(2*n);
  
                  long dp[][] = new long[n+1][max_k+1];
  
                  //Arrays.fill(dp[n],Long.MAX_VALUE);
                  
                  for(int i=0;i<=n;i++){
                      dp[i][0] =Long.MAX_VALUE;
                  }
  
                  for(int i=n-1;i>=0;i--){
                      if(i == n-1){
                          dp[i][1] = arr[i];
                          continue;
                      }
                      for(int j=1;j<=max_k;j++){
                          long op1 = dp[i+1][j];
                          long op2 = 0l;
                          if(i+j<n && ((prefix[i+j] - prefix[i]) < dp[i+j][j-1])){
                              op2 = (prefix[i+j] - prefix[i]);
                          }
                          dp[i][j] = Math.max(op1,op2);
                      }
                  }
                  int ans = 0;
                  for(int i=1;i<=max_k;i++){
                      if(dp[0][i] > 0){ans++;}
                  }
                  sb.append(ans+"\n");
  
              }
  
              print(sb.toString());
          }
  
  
          public static List<int[]> print_prime_factors(int n){
          
              List<int[]> list = new ArrayList<>();
              
              for(int i=2;i<=(int)(Math.sqrt(n));i++){
      
                  if(n % i == 0){
                      
                      int cnt = 0;
                      
                      while( (n % i) == 0){
                          n = n/i;
                          cnt++;
                      }
      
                      list.add(new int[]{i,cnt});
                  }
              }
      
              if(n!=1){
                  list.add(new int[]{n,1});
              }
  
              return list;
          }
  
          public static boolean inRange(int r1,int r2,int val){
              return ((val >= r1) && (val <= r2));
          }
  
          static int len(long num){
              return Long.toString(num).length();
          }
  
          static long mulmod(long a, long b,long mod)
          {
              long ans = 0l;
              
              while(b > 0){
                  long curr = (b & 1l);
                  if(curr == 1l){
                      ans = ((ans % mod) + a) % mod;
                  }
                  
                  a = (a + a) % mod;
  
                  b = b >> 1;
              }
  
              return ans;
          }
  
  
          public static void dbg(PrintStream ps,Object... o) throws Exception{
              if(ps == null){
                  return;
              }
              Debug.dbg(ps,o);
          }
  
          public static long modpow(long num,long pow,long mod){
  
              long val = num;
              long ans = 1l;
  
              while(pow > 0l){
                  
                  long bit = pow & 1l;
  
                  if(bit == 1){
                      ans = (ans * (val%mod))%mod;
                  }
  
                  val = (val * val) % mod;
                  pow = pow >> 1;
              }
  
              return ans;
  
          }
  
          public static char get(int n){
              return (char)('a' + n);
          }
  
          public static long[] sort(long arr[]){
              List<Long> list = new ArrayList<>();
              for(long n : arr){list.add(n);}
              Collections.sort(list);
              for(int i=0;i<arr.length;i++){
                  arr[i] = list.get(i);
              }
              return arr;
          }
  
          public static int[] sort(int arr[]){
              List<Integer> list = new ArrayList<>();
              for(int n : arr){list.add(n);}
              Collections.sort(list);
              for(int i=0;i<arr.length;i++){
                  arr[i] = list.get(i);
              }
              return arr;
          }
  
          // return the (index + 1)
          // where index is the pos of just smaller element
          // i.e count of elemets strictly less than num
          public static int justSmaller(long arr[],long num){
              //  System.out.println(num+"@");
              int st = 0;
              int e = arr.length - 1;
  
              int ans = -1;
  
              while(st <= e){
  
                  int mid = (st + e)/2;
  
                  if(arr[mid] >= num){
                      e = mid - 1;
                  }else{
                      ans = mid;
                      st = mid + 1;
                  }
  
              }
  
  
              return ans + 1;
  
          }
          public static int justSmaller(int arr[],int num){
              //  System.out.println(num+"@");
              int st = 0;
              int e = arr.length - 1;
  
              int ans = -1;
  
              while(st <= e){
  
                  int mid = (st + e)/2;
  
                  if(arr[mid] >= num){
                      e = mid - 1;
                  }else{
                      ans = mid;
                      st = mid + 1;
                  }
  
              }
  
  
              return ans + 1;
  
          }
          
          //return (index of just greater element)
          //count of elements smaller than or equal to num
  
          public static int justGreater(long arr[],long num){
              int st = 0;
              int e = arr.length - 1;
  
              int ans = arr.length;
  
              while(st <= e){
                  
                  int mid = (st + e)/2;
  
                  if(arr[mid] <= num){
                      st = mid + 1;
                  }else{
                      ans = mid;
                      e = mid - 1;
                  }
              }
  
              return ans;
  
          }
  
          public static int justGreater(int arr[],int num){
              int st = 0;
              int e = arr.length - 1;
  
              int ans = arr.length;
  
              while(st <= e){
                  
                  int mid = (st + e)/2;
  
                  if(arr[mid] <= num){
                      st = mid + 1;
                  }else{
                      ans = mid;
                      e = mid - 1;
                  }
              }
  
              return ans;
  
          }
  
          
  
          public static void println(Object obj){
              System.out.println(obj.toString());
          }
  
          public static void print(Object obj){
              System.out.print(obj.toString());
          }
  
          public static int gcd(int a,int b){
              if(b == 0){return a;}
              return gcd(b,a%b);
          }
  
          public static long gcd(long a,long b){
              if(b == 0l){
                  return a;
              }
  
              return gcd(b,a%b);
          }
  
          public static int find(int parent[],int v){
              if(parent[v] == v){
                  return v;
              }
              
              return parent[v] = find(parent, parent[v]);
          }
  
  
  
          public static List<Integer> sieve(){
          
                  List<Integer> prime = new ArrayList<>();
  
                  int arr[] = new int[100001];
  
              Arrays.fill(arr,1);
  
              arr[1] = 0;
              arr[2] = 1;
  
              for(int i=2;i<=100000;i++){
                  
                  if(arr[i] == 1){
                      
                      prime.add(i);
  
                      for(long j = (i*1l*i);j<100001;j+=i){
                          arr[(int)j] = 0;
                      }
                  }
              }
  
              return prime;
          }
  
          static boolean isPower(long n,long a){
              
              long log = (long)(Math.log(n)/Math.log(a));
  
              long power = (long)Math.pow(a,log);
  
              if(power == n){return true;}
  
              return false;
          }
  
  
          private static int mergeAndCount(int[] arr, int l,int m, int r)
          {
  
              // Left subarray
              int[] left =  Arrays.copyOfRange(arr, l, m + 1);
  
              // Right subarray
              int[] right = Arrays.copyOfRange(arr, m + 1, r + 1);
  
              int i = 0, j = 0, k = l, swaps = 0;
  
              while (i < left.length && j < right.length) {
                  if (left[i] <= right[j])
                      arr[k++] = left[i++];
                  else {
                      arr[k++] = right[j++];
                      swaps += (m + 1) - (l + i);
                  }
              }
              while (i < left.length)
                  arr[k++] = left[i++];
              while (j < right.length)
                  arr[k++] = right[j++];
              return swaps;
          }
  
          // Merge sort function
          private static int mergeSortAndCount(int[] arr, int l,int r)
          {
  
              // Keeps track of the inversion count at a
              // particular node of the recursion tree
              int count = 0;
  
              if (l < r) {
                  int m = (l + r) / 2;
  
                  // Total inversion count = left subarray count
                  // + right subarray count + merge count
  
                  // Left subarray count
                  count += mergeSortAndCount(arr, l, m);
  
                  // Right subarray count
                  count += mergeSortAndCount(arr, m + 1, r);
  
                  // Merge count
                  count += mergeAndCount(arr, l, m, r);
              }
  
              return count;
          }
  
          static class Debug{
              //change to System.getProperty("ONLINE_JUDGE")==null; for CodeForces
              public static final boolean LOCAL = System.getProperty("ONLINE_JUDGE")==null;
  
              
  
              private static <T> String ts(T t) {
                  if(t==null) {
                      return "null";
                  }
                  try {
                      return ts((Iterable) t);
                  }catch(ClassCastException e) {
                      if(t instanceof int[]) {
                          String s = Arrays.toString((int[]) t);
                          return "{"+s.substring(1, s.length()-1)+"}\n";
                      }else if(t instanceof long[]) {
                          String s = Arrays.toString((long[]) t);
                          return "{"+s.substring(1, s.length()-1)+"}\n";
                      }else if(t instanceof char[]) {
                          String s = Arrays.toString((char[]) t);
                          return "{"+s.substring(1, s.length()-1)+"}\n";
                      }else if(t instanceof double[]) {
                          String s = Arrays.toString((double[]) t);
                          return "{"+s.substring(1, s.length()-1)+"}\n";
                      }else if(t instanceof boolean[]) {
                          String s = Arrays.toString((boolean[]) t);
                          return "{"+s.substring(1, s.length()-1)+"}\n";
                      }
                      try {
                          return ts((Object[]) t);
                      }catch(ClassCastException e1) {
                          return t.toString();
                      }
                  }
              }
              private static <T> String ts(T[] arr) {
                  StringBuilder ret = new StringBuilder();
                  ret.append("{");
                  boolean first = true;
                  for(T t: arr) {
                      if(!first) {
                          ret.append(", ");
                      }
                      first = false;
                      ret.append(ts(t));
                  }
                  ret.append("}");
                  return ret.toString();
              }
              private static <T> String ts(Iterable<T> iter) {
                  StringBuilder ret = new StringBuilder();
                  ret.append("{");
                  boolean first = true;
                  for(T t: iter) {
                      if(!first) {
                          ret.append(", ");
                      }
                      first = false;
                      ret.append(ts(t));
                  }
                  ret.append("}\n");
                  return ret.toString();
              }
              public static void dbg(PrintStream ps,Object... o) throws Exception {
                  if(LOCAL) {
                      System.setErr(ps);
                      System.err.print("Line #"+Thread.currentThread().getStackTrace()[2].getLineNumber()+": [\n");
                      for(int i = 0; i<o.length; i++) {
                          if(i!=0) {
                              System.err.print(", ");
                          }
                          System.err.print(ts(o[i]));
                      }
                      System.err.println("]");
                  }
              }
          }
  
      }