#include <bits/stdc++.h>
using namespace std;
using nagai = long long;
using unagai=unsigned long long;
using ll=long long;
#define sz(x) int((x).size())
const int N=4040;
int n,m;
nagai matr[N][N];
nagai pref[N][N];
nagai gcd(nagai a,nagai b){
while(b){
a%=b,swap(a,b);
}
return a;
}
struct frac{
nagai a,b;
void find(){
nagai C=1000000000LL;
if(b<=C)return;
nagai n=1,m=1;
while(true){
nagai ln=m,lm=n+m;
nagai rn=n+m,rm=n;
if(lm>=C)break;
if(a*lm<=b*ln)
n=ln,m=lm;
else
n=rn,m=rm;
}
a=n,b=m;
}
void check(){
if(a==0)return;
nagai g=gcd(a,b);
a/=g;
b/=g;
find();
}
frac(nagai a,nagai b):a(a),b(b){
check();
}
frac(nagai x):a(x),b(1){}
frac operator *(frac o){
return frac(a*o.a,b*o.b);
}
frac operator +(frac o){
return frac(a*o.b+o.a*b,b*o.b);
}
frac operator -(frac o){
return frac(a*o.b-o.a*b,b*o.b);
}
bool operator <=(frac o){
return a*o.b<=b*o.a;
}
bool operator <(frac o){
return a*o.b<b*o.a;
}
};
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
cin>>n>>m;
for(int i=0;i<n;++i)
for(int j=0;j<m;++j){
ll x;
cin>>x;
matr[i][j]=x;
pref[i][j+1]=pref[i][j]+matr[i][j];
}
frac cur(0);
vector<frac>fr;
vector<int>ord;
vector<bool>used(n);
for(int i=0;i<n;++i){
frac mn(1e9);
int mni=-1;
for(int j=0;j<n;++j){
if(used[j])continue;
int lb=cur.a/cur.b;
frac kek=frac(matr[j][lb])*frac(cur.a%cur.b,cur.b);
int L=lb,R=m+1;
while(R-L>1){
int M=(L+R)/2;
if(frac(pref[j][M])<=frac(pref[j][m],n)+pref[j][lb]+kek)
L=M;
else
R=M;
}
frac rest(0);
if(L==lb){
rest=frac(pref[j][m],n)*frac(1,matr[j][L])+cur;
}
else{
rest=frac(pref[j][m],n)-(frac(pref[j][L])-pref[j][lb]-kek);
if(rest.a)
rest=rest*frac(1,matr[j][L]);
rest=rest+frac(L);
}
if(rest<mn)
mn=rest,mni=j;
}
cur=mn;
// cerr<<cur.a<<' '<<cur.b<<'\n';
fr.push_back(cur);
ord.push_back(mni);
used[mni]=true;
}
for(int i=0;i<n-1;++i){
cout<<(ll)fr[i].a<<' '<<(ll)fr[i].b<<'\n';
}
for(int i=0;i<n;++i)
cout<<ord[i]+1<<' ';
cout<<'\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
3 ms |
384 KB |
Output is correct |
3 |
Correct |
2 ms |
384 KB |
Output is correct |
4 |
Correct |
2 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
384 KB |
Output is correct |
6 |
Correct |
2 ms |
384 KB |
Output is correct |
7 |
Correct |
2 ms |
384 KB |
Output is correct |
8 |
Correct |
2 ms |
384 KB |
Output is correct |
9 |
Correct |
2 ms |
384 KB |
Output is correct |
10 |
Correct |
2 ms |
512 KB |
Output is correct |
11 |
Correct |
2 ms |
512 KB |
Output is correct |
12 |
Correct |
3 ms |
384 KB |
Output is correct |
13 |
Correct |
2 ms |
512 KB |
Output is correct |
14 |
Correct |
2 ms |
384 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
3 ms |
512 KB |
Output is correct |
3 |
Correct |
3 ms |
512 KB |
Output is correct |
4 |
Correct |
2 ms |
512 KB |
Output is correct |
5 |
Correct |
3 ms |
512 KB |
Output is correct |
6 |
Correct |
2 ms |
484 KB |
Output is correct |
7 |
Correct |
2 ms |
384 KB |
Output is correct |
8 |
Correct |
2 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
640 KB |
Output is correct |
10 |
Correct |
3 ms |
512 KB |
Output is correct |
11 |
Correct |
3 ms |
512 KB |
Output is correct |
12 |
Correct |
2 ms |
384 KB |
Output is correct |
13 |
Correct |
3 ms |
512 KB |
Output is correct |
14 |
Correct |
2 ms |
640 KB |
Output is correct |
15 |
Correct |
2 ms |
512 KB |
Output is correct |
16 |
Correct |
3 ms |
640 KB |
Output is correct |
17 |
Correct |
3 ms |
512 KB |
Output is correct |
18 |
Correct |
3 ms |
640 KB |
Output is correct |
19 |
Correct |
2 ms |
640 KB |
Output is correct |
20 |
Correct |
3 ms |
512 KB |
Output is correct |
21 |
Correct |
3 ms |
640 KB |
Output is correct |
22 |
Correct |
2 ms |
512 KB |
Output is correct |
23 |
Correct |
2 ms |
384 KB |
Output is correct |
24 |
Correct |
3 ms |
512 KB |
Output is correct |
25 |
Correct |
2 ms |
512 KB |
Output is correct |
26 |
Correct |
2 ms |
384 KB |
Output is correct |
27 |
Correct |
2 ms |
512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
3 ms |
384 KB |
Output is correct |
3 |
Correct |
2 ms |
384 KB |
Output is correct |
4 |
Correct |
2 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
384 KB |
Output is correct |
6 |
Correct |
2 ms |
384 KB |
Output is correct |
7 |
Correct |
2 ms |
384 KB |
Output is correct |
8 |
Correct |
2 ms |
384 KB |
Output is correct |
9 |
Correct |
2 ms |
384 KB |
Output is correct |
10 |
Correct |
2 ms |
512 KB |
Output is correct |
11 |
Correct |
2 ms |
512 KB |
Output is correct |
12 |
Correct |
3 ms |
384 KB |
Output is correct |
13 |
Correct |
2 ms |
512 KB |
Output is correct |
14 |
Correct |
2 ms |
384 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
16 |
Correct |
2 ms |
384 KB |
Output is correct |
17 |
Correct |
3 ms |
512 KB |
Output is correct |
18 |
Correct |
3 ms |
512 KB |
Output is correct |
19 |
Correct |
2 ms |
512 KB |
Output is correct |
20 |
Correct |
3 ms |
512 KB |
Output is correct |
21 |
Correct |
2 ms |
484 KB |
Output is correct |
22 |
Correct |
2 ms |
384 KB |
Output is correct |
23 |
Correct |
2 ms |
512 KB |
Output is correct |
24 |
Correct |
3 ms |
640 KB |
Output is correct |
25 |
Correct |
3 ms |
512 KB |
Output is correct |
26 |
Correct |
3 ms |
512 KB |
Output is correct |
27 |
Correct |
2 ms |
384 KB |
Output is correct |
28 |
Correct |
3 ms |
512 KB |
Output is correct |
29 |
Correct |
2 ms |
640 KB |
Output is correct |
30 |
Correct |
2 ms |
512 KB |
Output is correct |
31 |
Correct |
3 ms |
640 KB |
Output is correct |
32 |
Correct |
3 ms |
512 KB |
Output is correct |
33 |
Correct |
3 ms |
640 KB |
Output is correct |
34 |
Correct |
2 ms |
640 KB |
Output is correct |
35 |
Correct |
3 ms |
512 KB |
Output is correct |
36 |
Correct |
3 ms |
640 KB |
Output is correct |
37 |
Correct |
2 ms |
512 KB |
Output is correct |
38 |
Correct |
2 ms |
384 KB |
Output is correct |
39 |
Correct |
3 ms |
512 KB |
Output is correct |
40 |
Correct |
2 ms |
512 KB |
Output is correct |
41 |
Correct |
2 ms |
384 KB |
Output is correct |
42 |
Correct |
2 ms |
512 KB |
Output is correct |
43 |
Incorrect |
1510 ms |
9176 KB |
X_i is not increasing |
44 |
Halted |
0 ms |
0 KB |
- |