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Copy pathEuler's totient function using seive.cpp
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Euler's totient function using seive.cpp
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#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define ll long long int
#define mod 100000
#define for1(k,n) for(ll i=k;i<n;i++)
#define for2(k,n) for(ll j=k;j<n;j++)
#define E cout<<endl
#define max 100000
ll ETFseive(ll n)
{
int arr[n + 1];
for1(0, n + 1) // initializing the same index as element
arr[i] = i;
int prev = 1;
for (int i = 2; i < n + 1; i++ )
{
if (i == arr[i])
{
for (int j = i; j <= n; j = j + i)
{
arr[j] = arr[j] / i;
arr[j] = arr[j] * (i - 1);
}
}
prev = 2;
}
return arr[n];
}
int main()
{
//////////////////////////////////////start...............
cout << "Enter no. upto 10^6 inclusive\n";
int n;
cin >> n;
cout << "count of co-prime by ETF seive : " << ETFseive(n) << endl;
/////////////////////////////end................................... ....
#ifndef ONLINE_JUDGE
cout << "\nDone in " << (double) clock() / CLOCKS_PER_SEC << "sec" << endl;
#endif
return 0;
}
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/*
when N <= 10, then both O(N!) and O(2N) are ok (for 2N probably N <= 20 is ok too)
when N <= 100, then O(N3) is ok (I guess that N4 is also ok, but never tried)
when N <= 1.000, then N2 is also ok
when N <= 1.000.000, then O(N) is fine (I guess that 10.000.000 is fine too, but I never tried in contest)
finally when N = 1.000.000.000 then O(N) is NOT ok, you have to find something better…*/