Given an array A of length N, your task is to find the element which repeats in A maximum number of times as well as the corresponding count. In case of ties, choose the smaller element first.

-----Input-----
First line of input contains an integer T, denoting the number of test cases. Then follows description of T cases. Each case begins with a single integer N, the length of A. Then follow N space separated integers in next line.  Assume that 1 <= T <= 100, 1 <= N <= 100 and for all i in [1..N] : 1 <= A[i] <= 10000

-----Output-----
For each test case, output two space separated integers V & C. V is the value which occurs maximum number of times and C is its count.

-----Example-----
Input:
2
5
1 2 3 2 5
6
1 2 2 1 1 2

Output:
2 2
1 3

Description:
In first case 2 occurs twice whereas all other elements occur only once. 
In second case, both 1 and 2 occur 3 times but 1 is smaller than 2.

Starter code:

Solutions:
t = input();

a = [0 for i in range(10001)]

i = 0;

while i < int(t):

	n = input();

	k = input();

	assert(len(k.split(' ')) == int(n));

	for each in k.split(' '):

		a[int(each)] += 1;


	V = 0;

	C = a[V];

	for j in range(10001):

		if C < a[j]:

			V = j;

			C = a[V];

		a[j] = 0;

	i += 1;

	print(V, C);


import sys
def main():
    s = sys.stdin.readline
    for t in range(int(s())):
        n = int(s())
        A = list(map(int, s().split()))
        save = {}
        for i in A:
            if i in save:
                save[i]+=1
            else:
                save[i]=1
        g = max(save, key=save.get)
        now = []
        for num in save:
            if save[num] == save[g]:
                now.append(num)
        now = sorted(now)
        print(now[0], save[g])
def __starting_point():
    main() 
__starting_point()

import fileinput

def CountMax (nA, A):
	hT = {}
	for n in A:
		if n not in hT:
			hT.setdefault(n,1)
		else:
			hT[n] += 1
	vals = [(pair[0],pair[1]) for pair in hT.items()]
	vals.sort(key=lambda p:p[0])
	#print vals
	return max(vals,key=lambda p:p[1])
	
def main():
	f = fileinput.FileInput()
	r = f.readline()
	if (r==''): 
		return 0
	else: 
		nT = int(r)
	while nT > 0 :
		nA = int(f.readline())
		A = list(map (int,(f.readline().strip()).split(' ')))
		result = CountMax(nA, A)
		print(result[0],result[1])
		nT = nT -1
	return 0
def __starting_point():
	main()
__starting_point()

from sys import stdin as I
from collections import defaultdict

ints = lambda: [int(s) for s in I.readline().split()]

T = ints()[0]
while T:
    T -= 1
    n = ints()
    c = defaultdict(int)
    for x in ints():
        c[x] += 1
    
    rv = (0, 0)
    for val, ct in list(c.items()):
        if ct > rv[1]:
            rv = (val, ct)
        elif ct == rv[1] and val < rv[0]:
            rv = (val, ct)
            
    print(rv[0], rv[1])
            



def solve():
	N = int(input())
	V = [0] * 10001
	I = list(map(int,input().split()))
	for i in I:
		V[i] += 1
	Ans = 0
	for i in range(len(V)):
		if V[i] > V[Ans]:
			Ans = i
	print(Ans , V[Ans])
			
	
def main():
	t = int(input())
	for i in range(t):
		solve()
		
main()

lists = []
results = []
for a in range(eval(input())):
    eval(input())
    lists.append([int(x) for x in input().split()])
for element in lists:
    results = []
    for n in element:
        ns = [x[0] for x in results]
        if n in ns :
            results[ns.index(n)][1] += 1
        else:
            results.append([n, 1])
    results.sort(key = lambda x:x[0])
    results.sort(key = lambda x:x[1], reverse = True)
    print(" ".join([str(x) for x in results[0]]))

import sys

for _ in range(int(sys.stdin.readline())):
    l=int(sys.stdin.readline())
    a=sys.stdin.readline().split()
    a=list(map(int,a))
    t=set(a)
    count=[]
    c=[]
    if len(t)==len(a):
        print(min(a),1)
        
    elif len(t)==1:
        print(a[0],l)
        
    else:
        for j in t:
            c.append(j)
        c.sort()
        for i in c:
            num=a.count(i)
            count.append(num)
            
        times=max(count)
        index=count.index(times)
        print(c[index],times)
            
    

n=int(input())
while(n):
    size=int(input())
    a=[]
    a=input().split()
    i=0
    #b=len(a)*[0]
    while(i<len(a)):
        a[i]=int(a[i])
        #print 'hello'
        i+=1
    j=max(a)
    freq=[]
    freq=(j+1)*[0]
    k=0
    while(k<len(a)):
        if(a[k]!=0):
            freq[a[k]-1]+=1
            k+=1
    count=max(freq)
    key=freq.index(count)+1
    print(key,count)
    n-=1

t = int(input())
while t:
    t-=1
    n = int(input())
    l = list(map(int, str(input()).split()))
    k = set(l)
    maxi = 0
    num = 10001
    for i in k:
        c = l.count(i)
        if c>maxi:
            maxi = c
            num = i
        elif c == maxi and i<num:
            num = i
    print(num, maxi)


#!/usr/bin/env python

T = int(input())
for t in range(T):
    N = int(input())
    A = list(map(int, input().split()))
    D = {}
    for e in A:
        D[e] = D.get(e, 0) + 1
    C = max(D.values())
    V = min([e[0] for e in [e for e in list(D.items()) if e[1] == C]])
    print(V, C)


i = input('')
i = int(i)

x = 0
ans = []

while (x < i):
	a = input('')
	arr = input('')
	arr = arr.split()
	
	cnts = []
	y = 0
	
	while (y < len(arr)):
		temp = [0, 0]
		temp[0] = int(arr[y])
		temp[1] = arr.count(arr[y])
		cnts.append(temp)
		y = y + 1
		
	maxi = 10001
	maxicount = 0
	
	y = 0
	
	while (y < len(cnts)):
		if ((cnts[y])[1] > maxicount):
			maxicount = (cnts[y])[1]
			maxi = (cnts[y])[0]
		elif ((cnts[y])[1] == maxicount):
			maxicount = (cnts[y])[1]
			if ( (cnts[y])[0] < maxi ):
				maxi = (cnts[y])[0]
		y = y + 1
	
	ans.append(str(maxi) + ' ' + str(maxicount))
	
	x = x + 1
	
x = 0

while (x < len(ans)):
	print(ans[x])
	x = x + 1

n=int(input())
while(n):
    size=int(input())
    a=[]
    a=input().split()
    i=0
    #b=len(a)*[0]
    while(i<len(a)):
        a[i]=int(a[i])
        #print 'hello'
        i+=1
    j=max(a)
    freq=[]
    freq=(j+1)*[0]
    k=0
    while(k<len(a)):
        if(a[k]!=0):
            freq[a[k]-1]+=1
            k+=1
    count=max(freq)
    key=freq.index(count)+1
    print(key,count)
    n-=1
            
          
    


import sys

t = int(sys.stdin.readline())

for _ in range(t):
	n = int(sys.stdin.readline());
	v = list(map(int,sys.stdin.readline().split()))
	v.sort()
	xm,cm = v[0],0
	x,c = v[0],0
	for i in v:
		if i == x:
			c += 1
		else:
			if c > cm or (c == cm and x < xm):
				xm,cm = x,c
			x, c = i, 1
	if c > cm or (c == cm and x < xm):
		xm,cm = x,c
	print(xm,cm)


import sys

result = []
n = int(sys.stdin.readline())
for i in range(0, n):
  sys.stdin.readline()
  original = [int(numero) for numero in sys.stdin.readline().strip().split()]
  l = list(set(original))
  l.sort()
  repeats = 0
  number = l[0]
  for j in l:
    c = original.count(j)
    if c > repeats:
      repeats = c
      number = j
  result.append(str(number) + " " + str(repeats))
sys.stdout.write("\n".join(result))


from array import array
def solve():
    n = int(input())
    inp = list(map(int, input().split()))
    mx = max([inp.count(i) for i in inp])
    ans = min([x for x in inp if inp.count(x) == mx])
    print(str(ans) + " " + str(inp.count(ans)))

t = int(input())
for i in range(0, t): solve()

cases = int(input())
for case in range(cases):
    n = int(input())
    freq = [0]*10001
    a = list(map(int,input().split()))
    
    largest = 1
    for i in range(n):
        freq[a[i]] += 1
        largest = max(largest,a[i])
    most = 0
    for num in range(largest+1):
        if freq[num] > freq[most]:
            most = num
    print(most,freq[most])

def maxcount(lst):
    op = [0]*max(lst)
    for i in lst:
        op[i-1]+=1
        
    return op.index(max(op))+1, max(op)

t= int(input())

while (t>0):
    input()
    lst = [int(i) for i in input().split(' ')]
    counts = maxcount(lst)
    for i in counts:
        print(i, end=' ')    
    print("")    
    t-=1 

def maxcount(lst):
    op = [0]*max(lst)
    for i in lst:
        op[i-1]+=1
        
    return op.index(max(op))+1, max(op)

t= int(input())

while (t>0):
    input()
    lst = list(map(int, input().split(' ')))
    counts = maxcount(lst)
    for i in counts:
        print(i, end=' ')    
    print("")    
    t-=1   

n=int(input())
for i in range(1,n+1):
	k=int(input())
	t=[0]*10001
	s=input().split()
	for j in range(0,k):
		l=int(s[j])
		t[l]+=1
	max=0
	for j in t:
		if j > max:
			max = j
	for l,j in enumerate(t):
		if j == max:
			print(str(l) + " " + str(j))
			break



# codechef - february 2012 - count of maximum - maxcount.py

t = int(input())

for tt in range(t):
    n = int(input())
    a = list(map(int, input().split()))
    c = {}
    for elem in a:
        if elem in c:
            c[elem]+=1
        else:
            c[elem]=1

    bestCount = 0
    best = 0
    for elem in c:
        if c[elem]>bestCount:
            bestCount=c[elem]
            best = elem
        elif c[elem]==bestCount and elem<best:
            best = elem
            
    print(best, bestCount)


def main():
	no_tcase=int(input())
	for i in range(no_tcase):
		countdict={}
		no_ele=int(input())
		ls=[int(ele) for ele in input().split()]
		for ele in range(no_ele):
			if ls[ele] in countdict:
				countdict[ls[ele]]=countdict[ls[ele]]+1
			else:
				countdict[ls[ele]]=1
		maxk=ls[0]		
		maxval=countdict[maxk]
		for key in list(countdict.keys()):
			if countdict[key]>maxval:
				maxk=key
				maxval=countdict[key]
			elif countdict[key]==maxval and maxk>key:
				maxk=key
			else:
				continue
		print(maxk,maxval)
		
def __starting_point():
	main()

__starting_point()

#!/usr/bin/env python2
# -*- coding: utf-8 -*-
import sys
ifs = sys.stdin
ofs = sys.stdout

from itertools import repeat
from heapq import nlargest
from operator import itemgetter

class bag(dict):

    def __init__(self, data=()):
        self.update(data)

    def __missing__(self, key):
        return 0

    def update(self, other):
        if hasattr(other, 'items'):
            super(bag, self).update(other)
        else:
            for elem in other:
                self[elem] += 1

    def __setitem__(self, elem, n):
        if n <= 0:
            if elem in self:
                del self[elem]
        else:
            super(bag, self).__setitem__(elem, n)

    def itermultiple(self):
        for elem, cnt in self.items():
            for _ in range(cnt):
                yield elem

    def nitems(self):
        return sum(self.values())

    def most_common(self, n=None):
        if n is None:
            return sorted(iter(self.items()), key=itemgetter(1), reverse=True)
        else:
            return nlargest(n, iter(self.items()), key=itemgetter(1))

    def __repr__(self):
        return '%s(%s)' % (self.__class__.__name__, dict.__repr__(self))

    def add(self, item, n=1):
        self[item] += n

    def discard(self, item, n=1):
        self[item] -= n


def solve(A):
    C = bag(A)
    MC = C.most_common()
    e,c = MC.pop(0)
    c_max = c
    e_min = e
    for mc in MC:
        e,c = mc
        if c==c_max:
            if e < e_min:
                e_min = e
        else:
            break
    return (e_min,c_max)


def numbers_from_line(d=' '):
    return [int(s) for s in ifs.readline().strip().split(d) if len(s.strip())>0]


T = int(ifs.readline())
for t in range(1,T+1):
    n = int(ifs.readline())
    A = numbers_from_line()
    v,c = solve(A)
    ofs.write('%d %d\n' % (v,c))


sys.exit(0)



x = int(input())

for i in range(x) :
    y = int(input())
    h = {}
    k = input()
    k = k.split(' ')
    for j in range(y) :
        if not h.get(k[j]) :
            h[k[j]] = 1
        else :
            h[k[j]] += 1
    number = 10000
    occur = 0
    for key in list(h.keys()) :
        if h[key] > occur :
            occur = h[key]
            number = key
        elif h[key] is occur :
            if (int(key) < int(number)) :
                #print 'key -> ' + key + ' number -> ' + str(number)
                number = key
                #print 'new key is ' + number + ' occuring ' + str(number) + ' times'
    print(str(number) + ' ' + str(occur))