Submission #118135

# Submission time Handle Problem Language Result Execution time Memory
118135 2019-06-18T08:40:04 Z scanhex Naan (JOI19_naan) C++17
100 / 100
1381 ms 149400 KB
#include <bits/stdc++.h>

using namespace std;
using nagai = __int128;
using big=__int128;
using unagai=unsigned long long;
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;
frac find(frac a,frac b);
const nagai C=1000000000LL;
struct frac{
	nagai a,b;
	frac(){}
	void find(){
		if(b<=C)return;
		frac r(a+1,b,0);
		int it=0;
		while(true){
			if(++it>40)break;
			frac nw=::find(*this,r);
//			cerr<<r.a<<' '<<r.b<<'\n';
			if(nw.a==a&&nw.b==b)return;
			if(nw.b>C){
				a=r.a,b=r.b;
				return;
			}
			r=nw;
		}
	}
	void check(){
		if(a==0)return;
		nagai g=gcd(a,b);
		a/=g;
		b/=g;
//		find();
	}
	frac(nagai a,nagai b,bool ch=false):a(a),b(b){
		if(ch)
			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;
	}
};
frac find(frac l, frac r){
	//cerr<<l.a<<' '<<l.b<<' '<<r.a<<' '<<r.b<<'\n';
	if(l.a>=l.b){
		nagai d=l.a/l.b;
		frac ans=find(frac(l.a-l.b*d,l.b,0),frac(r.a-r.b*d,r.b,0));
		ans.a+=ans.b*d;
		return ans;
	}
	if(r.a>r.b)
		return frac(1,1,0);
	frac ans=find(frac(r.b,r.a,0),frac(l.b,l.a,0));
	swap(ans.a,ans.b);
	return ans;
}
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;
//			frac kek=frac(matr[j][lb])*frac(cur.a%cur.b,cur.b);
			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;
}

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 512 KB Output is correct
4 Correct 3 ms 512 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 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 2 ms 512 KB Output is correct
15 Correct 2 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 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 3 ms 640 KB Output is correct
6 Correct 2 ms 512 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 768 KB Output is correct
10 Correct 3 ms 768 KB Output is correct
11 Correct 3 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 640 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 2 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 2 ms 640 KB Output is correct
25 Correct 2 ms 640 KB Output is correct
26 Correct 2 ms 512 KB Output is correct
27 Correct 2 ms 640 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 512 KB Output is correct
4 Correct 3 ms 512 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 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 2 ms 512 KB Output is correct
15 Correct 2 ms 512 KB Output is correct
16 Correct 2 ms 384 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 3 ms 640 KB Output is correct
21 Correct 2 ms 512 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 768 KB Output is correct
25 Correct 3 ms 768 KB Output is correct
26 Correct 3 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 640 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 2 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 2 ms 640 KB Output is correct
40 Correct 2 ms 640 KB Output is correct
41 Correct 2 ms 512 KB Output is correct
42 Correct 2 ms 640 KB Output is correct
43 Correct 103 ms 13184 KB Output is correct
44 Correct 676 ms 75104 KB Output is correct
45 Correct 276 ms 51608 KB Output is correct
46 Correct 28 ms 8568 KB Output is correct
47 Correct 432 ms 60636 KB Output is correct
48 Correct 1034 ms 44408 KB Output is correct
49 Correct 235 ms 24592 KB Output is correct
50 Correct 1305 ms 101964 KB Output is correct
51 Correct 444 ms 66424 KB Output is correct
52 Correct 1119 ms 116120 KB Output is correct
53 Correct 954 ms 90012 KB Output is correct
54 Correct 3 ms 640 KB Output is correct
55 Correct 432 ms 16988 KB Output is correct
56 Correct 632 ms 83640 KB Output is correct
57 Correct 483 ms 66296 KB Output is correct
58 Correct 859 ms 80148 KB Output is correct
59 Correct 487 ms 75384 KB Output is correct
60 Correct 1258 ms 149240 KB Output is correct
61 Correct 1298 ms 149112 KB Output is correct
62 Correct 1381 ms 148656 KB Output is correct
63 Correct 1301 ms 149400 KB Output is correct
64 Correct 1279 ms 149368 KB Output is correct
65 Correct 1269 ms 135772 KB Output is correct
66 Correct 1269 ms 135828 KB Output is correct
67 Correct 1227 ms 135768 KB Output is correct
68 Correct 507 ms 69216 KB Output is correct
69 Correct 508 ms 85880 KB Output is correct
70 Correct 633 ms 75484 KB Output is correct
71 Correct 801 ms 112016 KB Output is correct