#include <bits/stdc++.h>
using namespace std;
using nagai = __int128;
using ll=long long;
#define sz(x) int((x).size())
const int N=2020;
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;
frac(){}
void check(){
if(a==0)return;
nagai g=gcd(a,b);
a/=g;
b/=g;
}
frac(nagai a,nagai b):a(a),b(b){
}
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 L=0,R=m+1;
while(R-L>1){
int M=(L+R)/2;
if(frac(pref[j][M])<=frac(pref[j][m])*frac(i+1,n))
L=M;
else
R=M;
}
frac rest(0);
rest=frac(pref[j][m])*frac(i+1,n)-frac(pref[j][L]);
if(rest.a)
rest=rest*frac(1,matr[j][L]);
rest=rest+frac(L);
rest.check();
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 |
2 ms |
512 KB |
Output is correct |
3 |
Correct |
2 ms |
512 KB |
Output is correct |
4 |
Correct |
2 ms |
512 KB |
Output is correct |
5 |
Correct |
2 ms |
512 KB |
Output is correct |
6 |
Correct |
2 ms |
384 KB |
Output is correct |
7 |
Correct |
2 ms |
512 KB |
Output is correct |
8 |
Correct |
2 ms |
512 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 |
2 ms |
512 KB |
Output is correct |
13 |
Correct |
2 ms |
512 KB |
Output is correct |
14 |
Correct |
3 ms |
512 KB |
Output is correct |
15 |
Correct |
2 ms |
512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
512 KB |
Output is correct |
2 |
Correct |
2 ms |
512 KB |
Output is correct |
3 |
Correct |
2 ms |
640 KB |
Output is correct |
4 |
Correct |
2 ms |
640 KB |
Output is correct |
5 |
Correct |
2 ms |
640 KB |
Output is correct |
6 |
Correct |
3 ms |
512 KB |
Output is correct |
7 |
Correct |
2 ms |
512 KB |
Output is correct |
8 |
Correct |
2 ms |
512 KB |
Output is correct |
9 |
Correct |
3 ms |
768 KB |
Output is correct |
10 |
Correct |
3 ms |
768 KB |
Output is correct |
11 |
Correct |
2 ms |
640 KB |
Output is correct |
12 |
Correct |
2 ms |
384 KB |
Output is correct |
13 |
Correct |
2 ms |
512 KB |
Output is correct |
14 |
Correct |
3 ms |
768 KB |
Output is correct |
15 |
Correct |
3 ms |
768 KB |
Output is correct |
16 |
Correct |
3 ms |
768 KB |
Output is correct |
17 |
Correct |
3 ms |
768 KB |
Output is correct |
18 |
Correct |
3 ms |
768 KB |
Output is correct |
19 |
Correct |
3 ms |
768 KB |
Output is correct |
20 |
Correct |
3 ms |
640 KB |
Output is correct |
21 |
Correct |
3 ms |
768 KB |
Output is correct |
22 |
Correct |
3 ms |
768 KB |
Output is correct |
23 |
Correct |
2 ms |
384 KB |
Output is correct |
24 |
Correct |
3 ms |
640 KB |
Output is correct |
25 |
Correct |
3 ms |
640 KB |
Output is correct |
26 |
Correct |
2 ms |
512 KB |
Output is correct |
27 |
Correct |
3 ms |
640 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
2 ms |
512 KB |
Output is correct |
3 |
Correct |
2 ms |
512 KB |
Output is correct |
4 |
Correct |
2 ms |
512 KB |
Output is correct |
5 |
Correct |
2 ms |
512 KB |
Output is correct |
6 |
Correct |
2 ms |
384 KB |
Output is correct |
7 |
Correct |
2 ms |
512 KB |
Output is correct |
8 |
Correct |
2 ms |
512 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 |
2 ms |
512 KB |
Output is correct |
13 |
Correct |
2 ms |
512 KB |
Output is correct |
14 |
Correct |
3 ms |
512 KB |
Output is correct |
15 |
Correct |
2 ms |
512 KB |
Output is correct |
16 |
Correct |
2 ms |
512 KB |
Output is correct |
17 |
Correct |
2 ms |
512 KB |
Output is correct |
18 |
Correct |
2 ms |
640 KB |
Output is correct |
19 |
Correct |
2 ms |
640 KB |
Output is correct |
20 |
Correct |
2 ms |
640 KB |
Output is correct |
21 |
Correct |
3 ms |
512 KB |
Output is correct |
22 |
Correct |
2 ms |
512 KB |
Output is correct |
23 |
Correct |
2 ms |
512 KB |
Output is correct |
24 |
Correct |
3 ms |
768 KB |
Output is correct |
25 |
Correct |
3 ms |
768 KB |
Output is correct |
26 |
Correct |
2 ms |
640 KB |
Output is correct |
27 |
Correct |
2 ms |
384 KB |
Output is correct |
28 |
Correct |
2 ms |
512 KB |
Output is correct |
29 |
Correct |
3 ms |
768 KB |
Output is correct |
30 |
Correct |
3 ms |
768 KB |
Output is correct |
31 |
Correct |
3 ms |
768 KB |
Output is correct |
32 |
Correct |
3 ms |
768 KB |
Output is correct |
33 |
Correct |
3 ms |
768 KB |
Output is correct |
34 |
Correct |
3 ms |
768 KB |
Output is correct |
35 |
Correct |
3 ms |
640 KB |
Output is correct |
36 |
Correct |
3 ms |
768 KB |
Output is correct |
37 |
Correct |
3 ms |
768 KB |
Output is correct |
38 |
Correct |
2 ms |
384 KB |
Output is correct |
39 |
Correct |
3 ms |
640 KB |
Output is correct |
40 |
Correct |
3 ms |
640 KB |
Output is correct |
41 |
Correct |
2 ms |
512 KB |
Output is correct |
42 |
Correct |
3 ms |
640 KB |
Output is correct |
43 |
Correct |
92 ms |
13176 KB |
Output is correct |
44 |
Correct |
599 ms |
65256 KB |
Output is correct |
45 |
Correct |
234 ms |
44152 KB |
Output is correct |
46 |
Correct |
26 ms |
7544 KB |
Output is correct |
47 |
Correct |
357 ms |
52472 KB |
Output is correct |
48 |
Correct |
888 ms |
42624 KB |
Output is correct |
49 |
Correct |
204 ms |
23544 KB |
Output is correct |
50 |
Correct |
1128 ms |
96372 KB |
Output is correct |
51 |
Correct |
402 ms |
62876 KB |
Output is correct |
52 |
Correct |
943 ms |
109004 KB |
Output is correct |
53 |
Correct |
844 ms |
85404 KB |
Output is correct |
54 |
Correct |
3 ms |
640 KB |
Output is correct |
55 |
Correct |
359 ms |
16744 KB |
Output is correct |
56 |
Correct |
506 ms |
79420 KB |
Output is correct |
57 |
Correct |
426 ms |
62972 KB |
Output is correct |
58 |
Correct |
736 ms |
76128 KB |
Output is correct |
59 |
Correct |
427 ms |
71288 KB |
Output is correct |
60 |
Correct |
1016 ms |
127168 KB |
Output is correct |
61 |
Correct |
1101 ms |
126920 KB |
Output is correct |
62 |
Correct |
1132 ms |
126808 KB |
Output is correct |
63 |
Correct |
1103 ms |
126972 KB |
Output is correct |
64 |
Correct |
1115 ms |
127040 KB |
Output is correct |
65 |
Correct |
1149 ms |
127060 KB |
Output is correct |
66 |
Correct |
1080 ms |
127376 KB |
Output is correct |
67 |
Correct |
953 ms |
127276 KB |
Output is correct |
68 |
Correct |
413 ms |
63352 KB |
Output is correct |
69 |
Correct |
438 ms |
78032 KB |
Output is correct |
70 |
Correct |
545 ms |
69144 KB |
Output is correct |
71 |
Correct |
659 ms |
101244 KB |
Output is correct |