이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
//#pragma GCC optimize("Ofast,unroll-loops,O3")
//#pragma GCC optimize("avx,avx2,sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,fma,tune=native")
#include<bits/stdc++.h>
//#include<bits/extc++.h>
//#pragma pack(1)
#define fast ios::sync_with_stdio(0); cin.tie(0);
#define ll __int128
#define pii pair<ll,ll>
#define x first
#define y second
using namespace std;
//using namespace __gnu_pbds;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
//typedef tree<int, null_type,less_equal<int>, rb_tree_tag,tree_order_statistics_node_update> order_multiset;
//typedef tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update> order_set;
int n,l;
bool vis[2015];
pii total[2015];
pii v[2015][2015],last[2015];
vector<pii>cut[2015];
pii add(pii a,pii b){
ll up=(a.x*b.y+a.y*b.x);
ll down=(a.y*b.y);
if (up==0||down==0)
return {up,down};
ll g=__gcd(up,down);
return {up/g,down/g};
}
pii sub(pii a,pii b){
ll up=(a.x*b.y-a.y*b.x);
ll down=(a.y*b.y);
if (up==0||down==0)
return {up,down};
ll g=__gcd(up,down);
return {up/g,down/g};
}
pii mul(pii a,pii b){
ll up=a.x*b.x;
ll down=a.y*b.y;
if (up==0||down==0)
return {up,down};
ll g=__gcd(up,down);
return {up/g,down/g};
}
bool bigger(pii a,pii b){
return (__int128)a.x*b.y>=(__int128)a.y*b.x;
}
signed main(){
fast
cin>>n>>l;
for (int i=1;i<=n;i++){
total[i]={0LL,n};
for (int j=1;j<=l;j++){
int val; cin>>val;
v[i][j].x=val;
v[i][j].y=1;
total[i].x+=v[i][j].x;
}
ll g=__gcd((ll)n,total[i].x);
total[i]={total[i].x/g,total[i].y/g};
}
// cout<<"OK\n";
for (int i=1;i<=n;i++){
for (int j=1;j<=l;j++)
last[j]={1,1};
pii now={0,1},val={0,1};
int p=1;
for (int j=1;j<=n;j++){
val={0,1};
while (val!=total[i]){
// cout<<p<<" : "<<val.x<<","<<val.y<<" "<<total[i].x<<','<<total[i].y<<'\n';
if (bigger(add(val,mul(v[i][p],last[p])),total[i])){
pii need=sub(total[i],val);
pii use=mul(need,{1,v[i][p].x});
last[p]=sub(last[p],use);
now=add(now,use);
val=add(val,mul(v[i][p],use));
cut[i].push_back(now);
/// cout<<i<<" add "<<now.x<<" "<<now.y<<'\n';
}
else {
val=add(val,mul(v[i][p],last[p]));
now=add(now,last[p]);
last[p]={0LL,1LL};
p++;
}
}
}
}
vector<int>order;
vector<pair<int,int> >pos;
for (int i=0;i<n;i++){
pii small={2*l,1};
int use=0;
for (int j=1;j<=n;j++){
if (!vis[j]&&bigger(small,cut[j][i])){
use=j;
small=cut[j][i];
}
}
vis[use]=1;
order.push_back(use);
pos.push_back({small.x,small.y});
}
pos.pop_back();
for (auto i:pos)
cout<<i.x<<" "<<i.y<<'\n';
for (auto i:order)
cout<<i<<" ";
cout<<'\n';
}
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