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Copy path014. Longest Collatz sequence.cpp
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014. Longest Collatz sequence.cpp
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#include <bits/stdc++.h>
using namespace std;
typedef unsigned long long int ulli;
typedef signed long long int lli;
ulli *arr=new ulli[5000001];
ulli countchain(ulli num)
{
ulli temp=0;
// cout<<num<<" : "<<arr[num]<<endl;
if(arr[num]!=0)
{
return arr[num];
}
if(num%2==0)
{
temp=num/2;
arr[num]=1+countchain(temp);
return arr[num];
}
temp=num*3+1;
ulli count=1;
while(temp>5000001)
{
if(temp%2==0)
{
temp/=2;
}
else
{
temp=temp*3+1;
}
count++;
}
arr[num]=count+countchain(temp);
return arr[num];
}
int main()
{
memset(arr,0,sizeof(arr));
ulli count=0;
arr[1]=1;
for(ulli a=2;a<=5000001;a=a*2)
{
++count;
arr[a]=count;
}
for(ulli a=1;a<=5000001;++a)
{
//cout<<a<<" : "<<countchain(a)<<endl;
countchain(a);
}
ulli *results=new ulli[5000001];
results[1]=1;
for(ulli a=2;a<=5000001;++a)
{
if(arr[a]>=arr[results[a-1]])
{
results[a]=a;
}
else
{
results[a]=results[a-1];
}
}
ulli test_case=0;
cin>>test_case;
ulli end_number,max_answer=0,result=0;
while(test_case--)
{
cin>>end_number;
cout<<results[end_number]<<endl;
}
delete[] results;
delete[] arr;
return 0;
}