This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define task "CCC"
#define pb push_back
#define fi first
#define se second
#define for1(i,j,k) for(int i=j;i<=k;i++)
#define for2(i,j,k) for(int i=j;i>=k;i--)
#define for3(i,j,k,l) for(int i=j;i<=k;i+=l)
#define bit(n,i) ((n>>i)&1)
#define all(x) x.begin(),x.end()
//#pragma GCC optimize("Ofast,unroll-loops")
//#pragma GCC target("avx,avx2,bmi,bmi2,sse,sse2,sse3,ssse3,sse4,popcnt")
//#define int long long
typedef long long ll;
typedef pair<int,int> pii;
typedef double ld;
typedef pair<ld,ld> pdd;
typedef pair<ll,ll> pll;
const ll maxn=1e7+1;
int n,nxt[maxn+1],par[int(1e5)+2],id[int(1e5)+2];
vector<pair<int,pii>> Edge;
int Find(int v) {
return (par[v] < 0) ?v: (par[v] = Find(par[v]));
}
bool Union(int x, int y) {
if ((x = Find(x)) == (y = Find(y)))
{
return false ;
}
if (par[y] < par[x])
{
swap(x, y);
}
par[x] += par[y];
par[y] = x;
return true;
}
void sol()
{
cin >> n;
int mx=-1;
int x;
for (int i=1;i<=n;i++)
{
cin >> x;
nxt[x]=x;
mx=max(mx,x);
}
int ans=0,cnt=0;
nxt[(int)mx+1]=-1;
for2(i,mx,1)
{
par[i]=-1;
if (nxt[i]!=i) nxt[i]=nxt[i+1];
}
for (int i=1;i<=mx;i++)
{
//cerr<<"wtf\n";
if (nxt[i]==i)
{
id[i]=++cnt;
par[cnt]=-1;
if (nxt[i+1]==-1) continue;
Edge.pb({nxt[i+1]-i,{nxt[i+1],i}});
for (int j=2*i;j<=mx;j+=i)
{
if (nxt[j]==-1) break;
Edge.pb({nxt[j]-j,{nxt[j],i}});
}
}
}
sort(all(Edge));
for (auto x:Edge)
{
//cerr<<x.fi<<' '<<x.se.se<<' '<<x.se.fi<<'\n';
if (x.se.fi==-1 || x.se.se==-1||!Union(id[x.se.fi],id[x.se.se])) continue;
ans+=x.fi;
}
cout << ans;
}
int32_t main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
// if (fopen(task".inp","r"))
// {
// freopen(task".inp","r",stdin);
// freopen(task".out","w",stdout);
// }
sol();
}
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