# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
156059 | ionanghelina | Sirni (COCI17_sirni) | C++14 | 2 ms | 504 KiB |
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;
const int maxN=(1e5)+5;
const int maxV=(1e7)+5;
const int inf=INT_MAX;
struct tip
{
int x,y,cost;
bool operator<(const tip& other)
{
return cost<other.cost;
}
};
class dsu
{
private:
int t[maxN];
public:
dsu(int n)
{
for(int i=1;i<=n;i++)
t[i]=-1;
}
inline int getRoot(int x)
{
//getting the root
int y=x;
while(t[y]>0) y=t[y];
//road compression
int z=y;
y=x;
while(y!=z)
{
int aux=t[y];
t[y]=z;
y=aux;
}
return y;
}
inline void unite(int x,int y)
{
int tx=getRoot(x);
int ty=getRoot(y);
if(tx<ty)
{
t[tx]+=t[ty];
t[ty]=tx;
}
else
{
t[ty]+=t[tx];
t[tx]=ty;
}
}
};
vector<tip> edges;
int n,v[maxN],cnt,M[maxV],nrm[maxN],x,y,cst,tx,ty;
long long sol;
inline int cost(int x,int y)
{
int xa,ya;
xa=M[x];
ya=M[y];
return min((xa%ya),(ya%xa));
}
int main()
{
freopen("sirni.in","r",stdin);
freopen("sirni.out","w",stdout);
scanf("%d",&n);
for(int i=1;i<=n;i++)
scanf("%d",&v[i]);
sort(v+1,v+n+1);
v[n+1]=inf;
for(int i=1;i<=n;i++)
{
if(i==1 || v[i]!=v[i-1]) cnt++;
M[cnt]=v[i];
nrm[i]=cnt;
}
for(int i=1;i<=cnt;i++)
{
int x=M[i];
int ind=upper_bound(v+1,v+n+1,x)-v;
if(ind>n) continue;
edges.push_back({i,nrm[ind],cost(i,nrm[ind])});
int lst=nrm[ind];
for(int j=x+x;j<=v[n];j+=x)
{
ind=lower_bound(v+1,v+n+1,j)-v;
if(ind>n) break;
if(nrm[ind]!=lst) edges.push_back({i,nrm[ind],cost(i,nrm[ind])});
lst=nrm[ind];
}
}
sort(edges.begin(),edges.end());
//for(auto it:edges)
// printf("%d %d% d\n",it.x,it.y,it.cost);
dsu D=dsu(n);
for(auto it:edges)
{
x=it.x;
y=it.y;
cst=it.cost;
tx=D.getRoot(x);
ty=D.getRoot(y);
if(tx!=ty)
{
sol+=1LL*cst;
D.unite(tx,ty);
}
}
printf("%lld\n",sol);
return 0;
}
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