This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3")
#pragma GCC target("avx,avx2,sse4")
#include <bits/stdc++.h>
using namespace std;
struct DSU {
vector<int32_t> p, r;
DSU(int32_t n) {
p.assign(n,0);
r.assign(n,1);
for (int i=0;i<n;i++)p[i]=i;
}
int get(int32_t i) {
if (i != p[i]) p[i]=get(p[i]);
return p[i];
}
bool unite(int32_t a,int32_t b) {
// assert(a < p.size() && b < p.size());
a=get(a);
b=get(b);
if (a==b)return false;
if (r[a]<r[b])swap(a,b);
p[b]=a;
r[a]+=r[b];
return true;
}
};
signed test(int n, vector<int> b) {
vector<int32_t> clos(b.back()+1,-1);
for (int32_t x:b) {
clos[x]=x;
}
for (int32_t i=clos.size()-2;i>=0;i--) {
if (clos[i] == -1) {
clos[i]=clos[i+1];
}
}
// cout<<"here\n";
typedef array<int32_t,2> pii;
vector<vector<pii>> edg;
for (int32_t x:b) {
// cout<<x<<"\n";
vector<int> tmp;
if (x != b.back()) {
edg[clos[x+1]%x].push_back({x, clos[x+1]});
}
// cout<<"after\n";
for (int32_t j=2*x;j<=b.back();j+=x) {
// cout<<j<<" "<<clos[j]<<"\n";
if (clos[j] != -1) {
if (tmp.size() == 0) {
edg[clos[j]%x].push_back({clos[j], x});
tmp.push_back(clos[j]);
}
else if (tmp.back() != clos[j]) {
edg[clos[j]%x].push_back({clos[j], x});
tmp.push_back(clos[j]);
}
}
}
if (tmp.size() == 0 || tmp.back() != b.back()) {
edg[b.back()%x].push_back({b.back(), x});
}
}
// cout<<edg.size()<<"\n";
map<int,int> mp;
for (int i=0;i<b.size();i++) {
mp[b[i]]=i;
}
for (auto &x:edg) {
// cout<<x[1]<<" "<<x[2]<<"\n";
for (auto &y:x) {
y[0]=mp[y[0]];
y[1]=mp[y[1]];
}
}
// cout<<"\n";
DSU d(b.size());
int cost=0;
int steps=0;
bool term=false;
for (int c=0;c<=b.size();c++) {
for (auto &x:edg[c]) {
if (d.unite(x[0], x[1])) {
cost+=c;
steps++;
if (steps == n-1) {
term=true;
break;
}
}
}
if (term)break;
}
return cost;
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n;cin>>n;
vector<int> a(n);
for (int &x:a)cin>>x;
if (n == 1) {
cout<<0<<"\n";
return 0;
}
sort(a.begin(),a.end());
vector<int> b;
for (int x:a) {
if (b.size()==0||b.back()!=x)b.push_back(x);
}
cout<<test(n,b)<<"\n";
}
Compilation message (stderr)
sirni.cpp: In function 'int test(int, std::vector<int>)':
sirni.cpp:80:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
80 | for (int i=0;i<b.size();i++) {
| ~^~~~~~~~~
sirni.cpp:97:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
97 | for (int c=0;c<=b.size();c++) {
| ~^~~~~~~~~~
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