mth_pf_seive.sublime-snippet

<snippet>
	<content><![CDATA[
// first create seive in preprocessing phase 
// O(n*log(log(n)))
lint prime[1000010];

void seive()
{
    for(lint i=1;i<1000010;i++)
    {
        prime[i]=-1;
    }
    for(lint i=2;i<1000010;i++)
    {
        if(prime[i]==-1)
        {
            for(lint j=i;j<1000010;j=j+i)
            {
                if(prime[j]==-1)
                    prime[j]=i;
            }
        }
    }
}

// query time O(log(n))
vector<lint> prime_factor(lint x)
{
    vector<lint> ret;
    while(x!=1)
    {
        ret.push_back(prime[x]);
        x=x/prime[x];
    }
    return ret;
}
]]></content>
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