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#include <iostream>
using namespace std;
const int MAXN{100000 + 4};
int dzielnik[MAXN];
int gdzie_lewo[MAXN];
int gdzie_prawo[MAXN];
int ile_przedzialow[MAXN];
void Sito(){
for(size_t i = 2; i * i < MAXN; i++){
if(dzielnik[i] == 0){
for(size_t j = i * i; j < MAXN; j += i)
dzielnik[j] = i;
}
}
for(size_t i = 2; i < MAXN; i++){
if(dzielnik[i] == 0)
dzielnik[i] = i;
}
}
void Solve(){
//Czyszczenie tablic
for(size_t i = 1; i <= MAXN; ++i){
gdzie_lewo[i] = MAXN - 1;
gdzie_prawo[i] = 0;
ile_przedzialow[i] = 0;
}
int n;
cin >> n;
for(int i = 1; i <= n; ++ i){
int a;
cin >> a;
while(a > 1){
int p = dzielnik[a];
gdzie_lewo[p] = min(gdzie_lewo[p], i);
gdzie_prawo[p] = max(gdzie_prawo[p], i);
a /= p;
}
}
for(size_t i = 2; i < MAXN; ++i){
int l = gdzie_lewo[i];
int p = gdzie_prawo[i];
if(l <= p){
ile_przedzialow[l] +=1;
ile_przedzialow[p] -=1;
}
}
for(size_t i = 1; i <= n; ++i){
ile_przedzialow[i] += ile_przedzialow[i-1];
}
for(size_t i = 1; i < n; ++i){
if(ile_przedzialow[i] == 0){
cout << i << endl;
return;
}
}
}
int main() {
// your code goes here
Sito();
int t;
cin >> t;
for(size_t i = 1; i <= t; ++i)
Solve();
return 0;
}
#include<iostream>
using namespace std;
typedef long long ll;
constexpr ll maxA=1e5+7;
ll D[maxA];
int T,N;
int main(){
for (int i = 2; i < maxA; i++)
{
D[i]=-1;
}
for (ll i = 2; i < maxA; i++)
{
if(D[i]==-1){
D[i]=i;
for (ll j = i*i; j < maxA; j+=i)
{
D[j]=i;
}
}
}
cin>>T;
for (int t = 0; t < T; t++)
{
cin>>N;
ll nums[N+1];
ll first[maxA]={0};
ll last[maxA]={0};
for (int i = 1; i <=N; i++)
{
cin>>nums[i];
int x=nums[i];
while(x>1){
int div=D[x];
if(first[div]>i||first[div]==0){
first[div]=i;
}
if(last[div]<i){
last[div]=i;
}
x=x/div;
}
}
int range[N+1]={0};
for (int i = 2; i <maxA; i++)
{
if(first[i]>0&&last[i]>0){
range[first[i]]+=1;
range[last[i]]+=-1;
}
}
for (int i = 1; i < N+1; i++)
{
range[i]=range[i-1]+range[i];
}
for (int i = 1; i < N+1; i++)
{
if(range[i]==0){
cout<<i<<'\n';
break;
}
}
}
return 0;
}
# cook your dish here
N=100000
prime=[-1 for i in range(N+1)]
i=2
while(i<=N):
if prime[i]==-1:
prime[i]=i
for j in range(2*i,N+1,i):
if prime[j]==-1:
prime[j]=i
i+=1
from math import gcd
for _ in range(int(input())):
n=int(input())
arr=list(map(int,input().split()))
range_p=[[-1,-1] for i in range(N+1)]
for i in range(n):
a=arr[i]
while(a>1):
x=prime[a]
if range_p[x][0]==-1:
range_p[x][0]=i
range_p[x][1]=i
else:
range_p[x][1]=i
a=a//x
#print(range_p[:10])
mark=[0 for i in range(n)]
for i in range(2,N+1):
if range_p[i][0]!=-1:
l=range_p[i][0]
r=range_p[i][1]
mark[l]+=1
mark[r]-=1
for i in range(1,n):
mark[i]+=mark[i-1]
#print(mark)
for i in range(n):
if mark[i]==0:
print(i+1)
break
#include<stdio.h>
int main(){long int t,i,j,k,a[100005],b[100005],c[100005],g[100005],left,n;
scanf("%ld",&t);
for(i=0;i<t;i++)
{
scanf("%ld",&n);
for(j=0;j<n;j++)
{
scanf("%ld",&a[j]);
b[j]=a[j];
c[j]=j;
}
for(j=0;j<=100000;j++)
{
g[j]=-1;
}
for(j=n-1;j>=0;j--)
{
if(b[j]%2==0)
{
while(b[j]%2==0)
{
b[j]=b[j]/2;
}
if(g[2]==-1)
{
g[2]=j;
}
}
for(k=3;k*k<=b[j];k=k+2)
{
if(b[j]%k==0)
{
while(b[j]%k==0)
{
b[j]=b[j]/k;
}
if(g[k]==-1)
{
g[k]=j;
}
}
}
if(b[j]>2)
{
if(g[b[j]]==-1)
g[b[j]]=j;
}
}
for(j=0;j<n;j++)
{
if(a[j]%2==0)
{
while(a[j]%2==0)
{
a[j]=a[j]/2;
}
if(c[j]<=g[2])
{
c[j]=g[2];
}
}
for(k=3;k*k<=a[j];k=k+2)
{
if(a[j]%k==0)
{
while(a[j]%k==0)
{
a[j]=a[j]/k;
}
if(g[k]>=c[j])
{
c[j]=g[k];
}
}
}
if(a[j]>2)
{
if(g[a[j]]>=c[j])
c[j]=g[a[j]];
}
}
left=0;
for(j=0;j<n;j++)
{
if(left<c[j])
left=c[j];
if(left==j)
break;
}
printf("\n");
printf("%ld\n",j+1);
}
return 0;
}
/* package codechef; // don't place package name! */
import java.util.*;
import java.lang.*;
import java.io.*;
/* Name of the class has to be "Main" only if the class is public. */
class Codechef
{
static ArrayList<Integer> al;
static int start[];
static int end[];
static int size;
static int max=(int)1e5+1;
static Pair array[];
static class Pair{
int a,b,c;
Pair(int a,int b,int c){
this.a=a;
this.b=b;
this.c=c;
}
}
public static void main (String[] args) throws java.lang.Exception
{
// your code goes here
Scanner sc=new Scanner(System.in);
boolean val[]=new boolean[1000];
al=new ArrayList<>();
for(int i=2;i<val.length;i++)
{
if(!val[i]){
al.add(i);
for(int j=i*2;j<val.length;j+=i){
val[j]=true;
}
}
}
//System.out.println(al);
int t=sc.nextInt();
while(t-->0){
int n=sc.nextInt();
int arr[]=new int[n];
start=new int[max];
end=new int[max];
size=0;
Arrays.fill(start,-1);
Arrays.fill(end,-1);
int max_element=0;
for(int i=0;i<n;i++) {
arr[i]=sc.nextInt();
max_element=Math.max(max_element,arr[i]);
}
help(arr);
/*for (int ele : al) {
System.out.println("val= " + ele + " start= " + start[ele] + " end= " + end[ele]);
if (ele > max_element)
break;
}*/
array=new Pair[size];
int k=0;
for(int i=0;i< start.length;i++){
if(start[i]!=-1){
array[k]=new Pair(i,start[i],end[i]);
k++;
}
}
Arrays.sort(array, new Comparator<Pair>() {
@Override
public int compare(Pair o1, Pair o2) {
return o1.b- o2.b;
}
});
int en=array[0].c;
for(int i=1;i<array.length;i++){
if(en<array[i].b){
System.out.println(en+1);
break;
}
en=Math.max(en,array[i].c);
}
}
}
private static void help(int[] arr) {
int k;
for(int i=0;i<arr.length;i++){
k=0;
while (arr[i]>1 && k<al.size()){
int curr=al.get(k);
while(arr[i]%curr==0){
if(start[curr]==-1)
{
size++;
start[curr]=i;
}
end[curr]=i;
arr[i]/=curr;
}
k++;
}
if(arr[i]>1){
if(start[arr[i]]==-1)
{
size++;
start[arr[i]]=i;
}
end[arr[i]]=i;
}
}
}
}
MAXN = 100000 + 7
# dzielnik[i] = dowolny dzielnik pierwszy liczby i
dzielnik = [0]*MAXN
def sito():
i = 2
while (i*i < MAXN):
if (dzielnik[i] == 0):
for j in range(i*i, MAXN, i):
dzielnik[j] = i
i = i + 1
for i in range(2, MAXN):
if (dzielnik[i] == 0):
dzielnik[i] = i
def solve():
# gdzieLewo[p] = pierwszy indeks,
# na ktorym liczba jest podzielna przez p (pierwsze)
gdzieLewo = [MAXN]*MAXN
# gdziePrawo[p] = ostatni indeks,
# na ktorym liczba jest podzielna przez p (pierwsze)
gdziePrawo = [0]*MAXN
n = int(input())
liczby = list(map(int, input().split()))
for i in range(n):
a = liczby[i]
# rozklad liczby a na czynniki pierwsze
while (a > 1):
p = dzielnik[a]
gdzieLewo[p] = min(gdzieLewo[p], i+1)
gdziePrawo[p] = max(gdziePrawo[p], i+1)
a //= p
ilePrzedzialow = [0]*(n + 1)
for i in range(MAXN):
l = gdzieLewo[i]
r = gdziePrawo[i]
if (l <= r):
ilePrzedzialow[l] += 1
ilePrzedzialow[r] -= 1
for i in range(1, n):
ilePrzedzialow[i] += ilePrzedzialow[i - 1]
for i in range(1, n):
if (ilePrzedzialow[i] == 0):
print(i)
return
sito()
T = int(input())
for i in range(T):
solve()
l=[[] for i in range(10**5+1)]
for i in range(2,10**5+1):
if l[i]==[]:
for j in range(i,10**5+1,i):
l[j].append(i)
for _ in range(input()):
n=input()
a=map(int,raw_input().split())
d={}
for i in range(n):
for j in l[a[i]]:
if j in d:
d[j]+=1
else:
d[j]=1
touched=0
zer=0
rech={}
for i in range(n):
for j in l[a[i]]:
if j not in rech:
touched+=1
rech[j]=1
d[j]-=1
if d[j]==0:
zer+=1
if zer==touched:
ans=i+1
break
print ans
using System;
using System.Collections.Generic;
using System.Globalization;
using System.IO;
using System.Linq;
using System.Text;
using System.Threading;
// (づ°ω°)づミe★゜・。。・゜゜・。。・゜☆゜・。。・゜゜・。。・゜
public class Solution
{
private const int SIEVE_SIZE = 100000;
private readonly bool[] isComposite = new bool[SIEVE_SIZE + 1];
private readonly List<int> primes = new List<int>();
void Sieve()
{
for (int i = 2; i * i <= SIEVE_SIZE; i++)
if (!isComposite[i])
for (int j = i * i; j <= SIEVE_SIZE; j += i)
isComposite[j] = true;
for (int i = 2; i <= SIEVE_SIZE; i++)
if (!isComposite[i])
primes.Add(i);
}
public void Solve()
{
Sieve();
for (int tt = ReadInt(); tt > 0; tt--)
{
int n = ReadInt();
var a = ReadIntArray();
var b = Init<List<Tuple<int, int>>>(n);
int m = primes.Count;
var rcnt = new int[m];
for (int i = 0; i < n; i++)
{
for (int j = 0; primes[j] * primes[j] <= a[i]; j++)
if (a[i] % primes[j] == 0)
{
int c = 0;
while (a[i] % primes[j] == 0)
{
a[i] /= primes[j];
c++;
}
b[i].Add(Tuple.Create(j, c));
rcnt[j] += c;
}
if (a[i] > 1)
{
int x = primes.BinarySearch(a[i]);
b[i].Add(Tuple.Create(x, 1));
rcnt[x]++;
}
}
int o = 0;
var lcnt = new int[m];
for (int i = 0; i + 1 < n; i++)
{
foreach (var t in b[i])
{
if (lcnt[t.Item1] == 0 && rcnt[t.Item1] > 0)
o++;
lcnt[t.Item1]++;
rcnt[t.Item1] -= t.Item2;
if (rcnt[t.Item1] == 0)
o--;
}
if (o == 0)
{
Write(i + 1);
break;
}
}
}
}
#region Main
protected static TextReader reader;
protected static TextWriter writer;
static void Main()
{
#if DEBUGLOCAL
reader = new StreamReader("..\\..\\input.txt");
//reader = new StreamReader(Console.OpenStandardInput());
writer = Console.Out;
//writer = new StreamWriter("..\\..\\output.txt");
#else
reader = new StreamReader(Console.OpenStandardInput());
writer = new StreamWriter(Console.OpenStandardOutput());
//reader = new StreamReader("input.txt");
//writer = new StreamWriter("output.txt");
#endif
try
{
new Solution().Solve();
//var thread = new Thread(new Solver().Solve, 1024 * 1024 * 128);
//thread.Start();
//thread.Join();
}
catch (Exception ex)
{
#if DEBUG
Console.WriteLine(ex);
#else
throw;
#endif
}
reader.Close();
writer.Close();
}
#endregion
#region Read / Write
private static Queue<string> currentLineTokens = new Queue<string>();
private static string[] ReadAndSplitLine() { return reader.ReadLine().Split(new[] { ' ', '\t', }, StringSplitOptions.RemoveEmptyEntries); }
public static string ReadToken() { while (currentLineTokens.Count == 0) currentLineTokens = new Queue<string>(ReadAndSplitLine()); return currentLineTokens.Dequeue(); }
public static int ReadInt() { return int.Parse(ReadToken()); }
public static long ReadLong() { return long.Parse(ReadToken()); }
public static double ReadDouble() { return double.Parse(ReadToken(), CultureInfo.InvariantCulture); }
public static int[] ReadIntArray() { return ReadAndSplitLine().Select(int.Parse).ToArray(); }
public static long[] ReadLongArray() { return ReadAndSplitLine().Select(long.Parse).ToArray(); }
public static double[] ReadDoubleArray() { return ReadAndSplitLine().Select(s => double.Parse(s, CultureInfo.InvariantCulture)).ToArray(); }
public static int[][] ReadIntMatrix(int numberOfRows) { int[][] matrix = new int[numberOfRows][]; for (int i = 0; i < numberOfRows; i++) matrix[i] = ReadIntArray(); return matrix; }
public static int[][] ReadAndTransposeIntMatrix(int numberOfRows)
{
int[][] matrix = ReadIntMatrix(numberOfRows); int[][] ret = new int[matrix[0].Length][];
for (int i = 0; i < ret.Length; i++) { ret[i] = new int[numberOfRows]; for (int j = 0; j < numberOfRows; j++) ret[i][j] = matrix[j][i]; }
return ret;
}
public static string[] ReadLines(int quantity) { string[] lines = new string[quantity]; for (int i = 0; i < quantity; i++) lines[i] = reader.ReadLine().Trim(); return lines; }
public static void WriteArray<T>(IEnumerable<T> array) { writer.WriteLine(string.Join(" ", array)); }
public static void Write(params object[] array) { WriteArray(array); }
public static void WriteLines<T>(IEnumerable<T> array) { foreach (var a in array) writer.WriteLine(a); }
private class SDictionary<TKey, TValue> : Dictionary<TKey, TValue>
{
public new TValue this[TKey key]
{
get { return ContainsKey(key) ? base[key] : default(TValue); }
set { base[key] = value; }
}
}
private static T[] Init<T>(int size) where T : new() { var ret = new T[size]; for (int i = 0; i < size; i++) ret[i] = new T(); return ret; }
#endregion
}
package main
import (
"bufio"
"bytes"
"fmt"
"os"
)
func main() {
reader := bufio.NewReader(os.Stdin)
tc := readNum(reader)
var buf bytes.Buffer
for tc > 0 {
tc--
n := readNum(reader)
A := readNNums(reader, n)
res := solve(n, A)
buf.WriteString(fmt.Sprintf("%d\n", res))
}
fmt.Print(buf.String())
}
func readInt(bytes []byte, from int, val *int) int {
i := from
sign := 1
if bytes[i] == '-' {
sign = -1
i++
}
tmp := 0
for i < len(bytes) && bytes[i] >= '0' && bytes[i] <= '9' {
tmp = tmp*10 + int(bytes[i]-'0')
i++
}
*val = tmp * sign
return i
}
func readNum(reader *bufio.Reader) (a int) {
bs, _ := reader.ReadBytes('\n')
readInt(bs, 0, &a)
return
}
func readTwoNums(reader *bufio.Reader) (a int, b int) {
res := readNNums(reader, 2)
a, b = res[0], res[1]
return
}
func readThreeNums(reader *bufio.Reader) (a int, b int, c int) {
res := readNNums(reader, 3)
a, b, c = res[0], res[1], res[2]
return
}
func readNNums(reader *bufio.Reader, n int) []int {
res := make([]int, n)
x := 0
bs, _ := reader.ReadBytes('\n')
for i := 0; i < n; i++ {
for x < len(bs) && (bs[x] < '0' || bs[x] > '9') && bs[x] != '-' {
x++
}
x = readInt(bs, x, &res[i])
}
return res
}
func readUint64(bytes []byte, from int, val *uint64) int {
i := from
var tmp uint64
for i < len(bytes) && bytes[i] >= '0' && bytes[i] <= '9' {
tmp = tmp*10 + uint64(bytes[i]-'0')
i++
}
*val = tmp
return i
}
const MAX_A = 100010
var spf [MAX_A]int
func init() {
set := make([]bool, MAX_A)
for x := 2; x < MAX_A; x++ {
if !set[x] {
for y := x; y < MAX_A; y += x {
if spf[y] == 0 {
spf[y] = x
}
set[y] = true
}
}
}
}
func solve(n int, A []int) int {
left := make(map[int]int)
right := make(map[int]int)
update := func(mem map[int]int, k int, v int, fn func(int, int) int) {
if w, ok := mem[k]; !ok {
mem[k] = v
} else {
mem[k] = fn(w, v)
}
}
for i := 0; i < n; i++ {
cur := A[i]
for spf[cur] != cur {
x := spf[cur]
update(left, x, i, min)
update(right, x, i, max)
cur /= x
}
update(left, cur, i, min)
update(right, cur, i, max)
}
cnt := make([]int, n+1)
for k, i := range left {
j := right[k]
cnt[i]++
cnt[j]--
}
for i := 1; i <= n; i++ {
cnt[i] += cnt[i-1]
}
for i := 1; i <= n; i++ {
if cnt[i-1] == 0 {
return i
}
}
return -1
}
func min(a, b int) int {
if a <= b {
return a
}
return b
}
func max(a, b int) int {
if a >= b {
return a
}
return b
}
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