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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#117174#6667. Prosjekcsy200516 220ms20796kbC++143.9kb2023-06-30 15:52:592023-06-30 15:53:02

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-06-30 15:53:02]
  • 评测
  • 测评结果:16
  • 用时:220ms
  • 内存:20796kb
  • [2023-06-30 15:52:59]
  • 提交

answer

#include <iostream>
#include <algorithm>
#include<cmath>
#include<cstring>
#include<cstdio>
#include<cstdlib>
#include<vector>
#include<iomanip>
#include<ctime>
#include<set>
#include<map>
#include<queue>
#include<stack>
#include<bitset>
#include<cassert>
#include<random>
#define sqr(x) ((x)*(x))
#define fz1(i,n) for ((i)=1;(i)<=(n);(i)++)
#define fd1(i,n) for ((i)=(n);(i)>=1;(i)--)
#define fz0g(i,n) for ((i)=0;(i)<=(n);(i)++)
#define fd0g(i,n) for ((i)=(n);(i)>=0;(i)--)
#define fz0k(i,n) for ((i)=0;(i)<(n);(i)++)
#define fd0k(i,n) for ((i)=(((long long)(n))-1);(i)>=0;(i)--)
#define fz(i,x,y) for ((i)=(x);(i)<=(y);(i)++)
#define fd(i,y,x) for ((i)=(y);(i)>=(x);(i)--)
#define fzin fz1(i,n)
#define fzim fz1(i,m)
#define fzjn fz1(j,n)
#define fzjm fz1(j,m)
#define ff(c,itr) for (__typeof((c).begin()) itr=(c).begin();itr!=(c).end();++itr)
#define pb push_back
#define mk make_pair
#define rdst(st,len){static char ss[len];scanf(" %s",ss);(st)=ss;}
#define spln(i,n) (i==n?'\n':' ')
#define fac_init(n){fac[0]=fac[1]=inv[1]=fi[0]=fi[1]=1;fz(i,2,n){fac[i]=1ll*fac[i-1]*i%mod;inv[i]=1ll*(mod-mod/i)*inv[mod%i]%mod;fi[i]=1ll*fi[i-1]*inv[i]%mod;}}
using namespace std;
typedef long long i64;
typedef long double f80;
typedef unsigned int u32;
typedef unsigned long long u64;
//typedef __int128 i128;
//typedef unsigned __int128 u128;
#ifndef ONLINE_JUDGE
	FILE *___=freopen("1.in","r",stdin);
#endif
inline void read(int &x)
{
	char c;int f=1;
	while(!isdigit(c=getchar()))if(c=='-')f=-1;
	x=(c&15);while(isdigit(c=getchar()))x=(x<<1)+(x<<3)+(c&15);
	x*=f;
}
inline void read(i64 &x)
{
	char c;int f=1;
	while(!isdigit(c=getchar()))if(c=='-')f=-1;
	x=(c&15);while(isdigit(c=getchar()))x=(x<<1)+(x<<3)+(c&15);
	x*=f;
}
int t,n,m,i,j;
vector<i64> a;
vector<i64> v0,v1;
vector<pair<i64,i64> > cur;
mt19937 rnd(1064);
bool hv;
void dfs()
{
	if(a.size()==1){
		hv=1;return;
	}
	int i,j;
	fz0k(i,a.size())fz(j,i+1,a.size()-1)if((a[i]+a[j])%2==0){
		i64 ti=a[i],tj=a[j],tk=a.back();
		cur.push_back(make_pair(a[i],a[j]));
		a[i]=(a[i]+a[j])/2;
		swap(a[j],a.back());a.pop_back();
		dfs();if(hv)return;
		a.push_back(tk);a[i]=ti;a[j]=tj;
		cur.pop_back();
	}
}
i64 solve0(vector<i64> a)
{
	vector<i64> v0,v1;
	ff(a,it) if((*it)%4<2)v0.push_back(*it);else v1.push_back(*it);
	while(v0.size()>=2||v1.size()>=2){
		if(v0.size()>=2){
			i64 x=v0.back();v0.pop_back();
			i64 y=v0.back();v0.pop_back();
			printf("%lld %lld\n",x,y);
			i64 t=(x+y)/2;if(t%4<2)v0.push_back(t);else v1.push_back(t);
		}
		else{
			i64 x=v1.back();v1.pop_back();
			i64 y=v1.back();v1.pop_back();
			printf("%lld %lld\n",x,y);
			i64 t=(x+y)/2;if(t%4<2)v0.push_back(t);else v1.push_back(t);
		}
	}
	i64 res;
	if(v0.size()&&v1.size()) printf("%lld %lld\n",v0.back(),v1.back()),res=(v0.back()+v1.back())/2;
	else res=(v0.empty()?v1.back():v0.back());
	return res;
}
bool solve(vector<i64> v,int d)
{
	if(d>62) return 0;
	if(v.size()<=d) return 0;
	vector<i64> v0,v1;
	ff(v,it)if(((*it)>>d)&1) v1.push_back(*it); else v0.push_back(*it);
	if(v0.empty()||v1.empty()) return solve(v,d+1);
	a.clear();a.push_back(v0.back());v0.pop_back();a.push_back(v1.back());v1.pop_back();
	v.clear();ff(v0,it)v.push_back(*it);ff(v1,it)v.push_back(*it);
	if(!v.empty())a.push_back(solve0(v));return 1;
}
int main()
{
	read(t);
	while(t--){
		a.clear();
		read(n);fz1(i,n){i64 x;read(x);a.push_back(x);}
//		n=rnd()%5+1;fz1(i,n){i64 x=rnd();a.push_back(x);}
		vector<i64> v0,v1;
		ff(a,it)if((*it)&1)v1.push_back(*it);else v0.push_back(*it);
		if(v0.empty()||v1.empty()){
			solve0(a);
			continue;
		}
		int _;fz0k(_,2){
			if(solve(v0,1)){
				ff(v1,it) a.push_back(*it);
				break;
			}
			swap(v0,v1);
		}
		if(_==2){puts("-1");continue;}
		hv=0;cur.clear();dfs();
		if(!hv)for(;;);ff(cur,it) printf("%lld %lld\n",it->first,it->second);
	}
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 0
Time Limit Exceeded

Test #1:

score: 9
Accepted
time: 1ms
memory: 3624kb

input:

99
4
739880851158065302 19206582949872932 883064254701115295 222072661880779376
7
148399819461615003 209088712310207988 53191076581680214 445068618251612752 230505279594622109 115754892157516718 804173775829453588
2
77979357045500669 41693388829622019
3
341612949433488278 609808714829036935 19994167...

output:

739880851158065302 19206582949872932
379543717053969117 883064254701115295
222072661880779376 631303985877542206
445068618251612752 209088712310207988
327078665280910370 53191076581680214
804173775829453588 115754892157516718
459964333993485153 148399819461615003
304182076727550078 19013487093129529...

result:

ok correct (99 test cases)

Test #2:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

94
4
522567009208273608 11643656493074325 186427311250002481 123849906165842189
5
106161059262489233 415343718607892434 327977047389442178 962072443749424073 442437950417792236
2
183203550209212188 845051373320458660
4
438596026703410712 750951289026921248 112070483603621346 883810241305765624
4
145...

output:

186427311250002481 123849906165842189
155138608707922335 11643656493074325
83391132600498330 522567009208273608
442437950417792236 327977047389442178
385207498903617207 962072443749424073
673639971326520640 415343718607892434
544491844967206537 106161059262489233
845051373320458660 18320355020921218...

result:

ok correct (94 test cases)

Test #3:

score: 0
Accepted
time: 1ms
memory: 3588kb

input:

100
6
992926089095812859 592566222682195905 851047547791588090 117812034990980493 287668656568989067 500497313856354147
5
422579495815431679 738445394838743009 952584027249447301 804094328392164866 131591678779711861
6
671044256239146581 730689616081395646 623998023808544596 817401707748253055 55805...

output:

287668656568989067 992926089095812859
592566222682195905 640297372832400963
117812034990980493 500497313856354147
851047547791588090 616431797757298434
309154674423667320 733739672774443262
952584027249447301 738445394838743009
131591678779711861 845514711044095155
488553194911903508 804094328392164...

result:

ok correct (100 test cases)

Test #4:

score: 0
Accepted
time: 1ms
memory: 3628kb

input:

100
3
3 3 2
3
4 1 1
4
1 3 4 4
6
4 4 2 3 1 2
4
0 2 1 4
3
0 2 0
7
3 3 1 1 3 4 0
2
0 4
4
1 4 2 3
7
4 0 0 3 2 3 4
4
4 2 0 3
7
0 2 2 1 4 2 4
7
3 0 3 1 2 0 3
4
4 3 1 4
6
2 3 0 1 3 4
5
1 4 0 3 4
5
4 2 0 4 2
3
0 1 2
6
4 1 4 2 0 4
7
4 2 4 3 1 3 1
4
1 4 4 0
2
1 1
6
0 3 3 0 0 4
7
4 3 0 3 3 3 4
4
4 1 1 3
6
2 0 ...

output:

-1
-1
1 3
4 4
2 4
4 2
4 2
3 3
3 3
3 1
4 2
3 1
2 0
0 0
0 2
3 3
1 3
1 3
2 0
4 2
1 3
4 0
4 2
3 3
3 1
0 0
0 4
2 2
4 2
3 3
3 3
0 2
1 3
2 4
4 0
2 2
2 2
4 2
3 1
2 2
0 2
1 3
2 0
1 1
3 3
1 3
1 3
4 4
2 4
4 2
3 3
3 1
2 0
1 3
0 4
2 4
3 3
3 1
4 0
2 2
2 2
4 2
0 2
1 1
0 4
4 2
4 2
3 3
3 1
4 2
3 1
2 4
3 3
3 3
3 1
0 ...

result:

ok correct (100 test cases)

Test #5:

score: 0
Accepted
time: 1ms
memory: 3552kb

input:

94
6
4 4 4 4 3 1
7
1 2 2 0 3 1 4
5
4 2 1 1 2
4
4 1 2 2
2
1 0
6
4 4 0 3 2 4
5
1 2 4 3 4
7
1 4 2 1 2 4 1
4
0 2 2 3
6
3 4 2 1 4 3
2
0 2
7
2 1 1 0 2 0 2
4
3 4 1 3
5
2 4 2 1 3
2
3 2
7
1 2 1 1 4 2 0
5
2 2 1 1 3
6
3 1 2 2 4 4
3
2 3 0
5
1 1 1 0 3
4
3 4 2 3
3
4 0 2
3
1 1 1
2
3 0
4
3 3 3 4
4
1 3 3 3
4
2 3 3 1...

output:

1 3
4 4
4 4
4 4
2 4
0 2
4 2
3 1
1 1
3 1
2 2
4 2
1 1
3 1
2 2
4 2
3 1
2 2
-1
0 4
4 2
4 2
3 3
3 3
4 2
3 3
3 1
2 4
4 2
4 2
3 1
1 1
1 3
2 2
0 2
1 3
2 2
4 2
3 3
3 1
2 4
3 3
0 2
2 2
0 2
0 2
1 1
1 1
1 1
1 3
2 4
3 3
4 2
3 3
3 1
2 2
-1
4 2
0 2
1 1
1 1
1 1
1 3
1 1
1 3
2 2
2 2
4 2
4 2
3 3
3 3
3 1
0 2
1 3
1 1
1 ...

result:

ok correct (94 test cases)

Test #6:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

100
2
0 4
6
0 3 2 2 3 2
6
0 3 2 3 2 4
5
3 2 2 3 2
4
2 1 1 4
5
0 2 0 0 4
4
1 2 4 0
5
3 0 4 4 1
6
3 4 4 4 3 0
6
2 2 3 4 3 2
5
3 1 4 0 4
3
2 1 1
5
3 2 1 1 1
5
1 1 4 2 2
3
2 2 4
5
2 3 1 0 3
3
1 1 3
5
3 1 1 1 2
2
1 2
4
2 2 4 2
5
2 2 0 0 3
5
3 0 4 0 2
5
2 2 1 1 4
6
1 1 3 2 2 0
4
4 3 4 4
3
0 0 4
2
2 3
7
0 ...

output:

4 0
2 2
0 2
3 3
1 3
2 2
0 2
4 2
3 3
3 3
3 1
-1
4 2
1 1
3 1
4 0
0 0
2 2
0 2
2 4
3 1
0 2
0 4
2 4
3 3
3 1
4 4
0 4
2 4
3 3
3 3
2 2
2 2
4 2
3 3
3 3
0 4
2 4
3 3
3 1
-1
1 1
1 1
1 3
2 2
4 2
1 1
3 1
2 2
2 2
4 2
0 2
1 3
1 3
2 2
1 1
1 3
1 1
1 1
1 3
2 2
-1
2 2
2 2
4 2
0 2
0 2
1 1
1 3
4 0
0 2
1 3
2 2
4 2
1 1
3 1...

result:

ok correct (100 test cases)

Test #7:

score: 0
Accepted
time: 1ms
memory: 3592kb

input:

99
7
5 8 3 10 4 3 7
7
3 7 2 9 0 1 8
7
10 6 10 7 8 2 9
7
5 7 1 2 3 5 4
7
1 8 6 10 7 5 9
7
8 2 3 8 7 7 2
7
6 5 9 1 5 0 7
7
10 2 3 4 4 9 2
7
2 8 9 2 4 2 9
7
5 5 4 7 8 4 3
7
6 2 5 5 7 3 2
7
6 3 3 7 8 1 3
7
4 5 4 4 1 4 9
7
0 7 2 6 10 9 9
7
10 9 9 3 2 4 1
7
5 8 5 5 3 3 6
7
0 7 7 0 10 5 8
7
8 3 1 2 2 7 10
...

output:

4 10
7 7
7 3
5 5
5 3
4 8
8 2
5 1
3 9
6 0
3 7
5 3
10 6
8 10
8 2
5 9
7 7
7 9
4 2
3 5
3 5
4 4
7 1
4 4
8 10
9 9
9 5
7 7
7 1
4 6
8 2
8 2
5 7
5 3
6 4
5 7
0 6
3 7
5 5
5 1
9 5
3 7
2 10
4 6
4 2
3 9
3 5
6 4
2 2
8 2
4 2
9 5
3 7
5 9
8 4
6 4
5 3
5 7
4 6
5 5
2 6
4 2
3 3
3 5
5 7
4 6
8 6
7 3
5 1
3 7
3 3
5 3
9 5
7 1...

result:

ok correct (99 test cases)

Test #8:

score: 0
Accepted
time: 1ms
memory: 3628kb

input:

93
7
5 1 7 4 6 2 9
7
0 6 4 2 2 7 9
7
7 0 1 7 4 10 5
7
9 5 3 6 1 7 10
7
6 6 2 4 4 0 8
7
4 5 1 7 6 8 6
7
3 10 8 2 2 10 4
7
10 1 4 0 3 2 9
7
3 2 9 8 1 3 4
7
9 2 10 10 2 2 4
7
7 8 8 4 10 6 7
7
10 10 5 1 2 8 3
7
10 6 10 3 1 3 0
7
5 10 2 8 9 6 0
7
2 5 6 8 6 4 1
7
10 5 4 6 6 10 6
7
9 0 2 6 10 0 10
7
4 1 2 ...

output:

4 2
3 9
6 6
7 1
6 4
5 5
2 6
4 0
4 2
9 7
8 2
3 5
4 10
7 5
6 0
3 7
5 1
3 7
5 9
7 3
1 7
4 10
7 5
6 6
8 0
4 4
4 4
2 6
4 4
4 6
4 6
8 6
7 7
1 5
7 3
5 5
2 2
2 10
8 6
4 10
7 3
5 7
4 10
0 2
1 9
5 3
1 7
4 4
4 2
3 3
3 1
2 8
5 9
7 3
2 10
6 10
8 2
4 2
9 5
3 7
8 8
8 10
4 6
5 7
7 9
6 8
10 10
8 2
5 3
4 10
1 5
7 3
6...

result:

ok correct (93 test cases)

Test #9:

score: 0
Accepted
time: 1ms
memory: 3672kb

input:

100
7
5 2 6 0 4 1 0
7
2 2 6 7 0 0 4
7
9 5 9 6 9 1 10
7
1 10 3 3 3 0 1
7
5 2 9 1 5 1 6
7
3 5 1 2 1 4 3
7
4 5 10 7 8 0 5
7
2 4 10 0 0 1 10
7
9 1 9 3 4 0 9
7
2 9 5 6 3 2 6
7
5 10 5 10 9 10 3
7
2 8 2 9 8 7 9
7
7 0 8 7 0 2 10
7
5 2 1 3 9 5 4
7
0 0 8 6 9 3 2
7
2 1 4 7 1 6 5
7
3 1 1 6 4 7 2
7
1 4 1 3 10 6 ...

output:

4 0
2 2
0 6
3 5
4 2
3 1
0 0
2 2
0 2
4 6
5 1
3 7
9 9
9 9
1 5
3 9
6 10
8 6
0 10
5 1
3 3
3 3
3 3
3 1
5 1
9 3
1 5
6 2
4 6
3 5
4 2
3 3
3 1
3 5
2 4
3 1
8 4
0 10
5 5
5 5
5 7
6 6
0 4
2 10
6 2
10 4
7 1
0 4
9 1
5 9
9 3
6 4
5 7
6 0
6 2
2 6
4 4
3 9
4 6
5 5
5 5
9 3
6 10
10 10
8 10
9 5
8 2
8 2
5 9
7 7
9 5
7 7
8 0...

result:

ok correct (100 test cases)

Test #10:

score: 0
Accepted
time: 1ms
memory: 3668kb

input:

100
7
194031217145504953 92344336866099257 940210838006020793 707981138553400851 396343433783471865 833335571389105081 123990781067666617
7
448521163401367476 574701567883492980 980642203300204980 512336398436587572 13585306943463220 382572649843185460 215660281846045559
7
98808889424018047 80126151...

output:

123990781067666617 833335571389105081
478663176228385849 396343433783471865
437503305005928857 940210838006020793
688857071505974825 92344336866099257
390600704186037041 194031217145504953
292315960665770997 707981138553400851
-1
519519497505604095 49129561139083391
284324529322343743 38670019352770...

result:

ok correct (100 test cases)

Test #11:

score: 0
Accepted
time: 1ms
memory: 3592kb

input:

100
7
174403410311304113 248556925798696753 53568639341601777 147219929176342449 988689409852706865 422750449048724017 809081055195056666
7
654555421813714610 65548712288124338 113074781548118002 689925989131091973 435452328954515762 402611253666470322 699499906293235634
7
892198071242569306 3804178...

output:

-1
-1
18008349711398490 129519442362898650
73763896037148570 165424412191963414
148030432254685338 500650288627091930
324340360440888634 380417803615373274
352379082028130954 892198071242569306
119594154114555992 622288576635350130
647450410820426645 407525704016506901
527488057418466773 81540398696...

result:

ok correct (100 test cases)

Test #12:

score: -9
Time Limit Exceeded

input:

100
7
735384431780948558 899256715441852725 178731131822407886 890919396545837966 72324744142816334 558054530285134638 954139817168296398
7
45395071650811539 253273768642657171 953414663451276723 220385987543178067 173909572893934035 485148879400085538 83918898436924307
7
109145165951288796 37935377...

output:


result:


Subtask #2:

score: 0
Time Limit Exceeded

Test #16:

score: 23
Accepted
time: 1ms
memory: 3688kb

input:

100
3
3 3 2
3
4 1 1
4
1 3 4 4
6
4 4 2 3 1 2
4
0 2 1 4
3
0 2 0
7
3 3 1 1 3 4 0
2
0 4
4
1 4 2 3
7
4 0 0 3 2 3 4
4
4 2 0 3
7
0 2 2 1 4 2 4
7
3 0 3 1 2 0 3
4
4 3 1 4
6
2 3 0 1 3 4
5
1 4 0 3 4
5
4 2 0 4 2
3
0 1 2
6
4 1 4 2 0 4
7
4 2 4 3 1 3 1
4
1 4 4 0
2
1 1
6
0 3 3 0 0 4
7
4 3 0 3 3 3 4
4
4 1 1 3
6
2 0 ...

output:

-1
-1
1 3
4 4
2 4
4 2
4 2
3 3
3 3
3 1
4 2
3 1
2 0
0 0
0 2
3 3
1 3
1 3
2 0
4 2
1 3
4 0
4 2
3 3
3 1
0 0
0 4
2 2
4 2
3 3
3 3
0 2
1 3
2 4
4 0
2 2
2 2
4 2
3 1
2 2
0 2
1 3
2 0
1 1
3 3
1 3
1 3
4 4
2 4
4 2
3 3
3 1
2 0
1 3
0 4
2 4
3 3
3 1
4 0
2 2
2 2
4 2
0 2
1 1
0 4
4 2
4 2
3 3
3 1
4 2
3 1
2 4
3 3
3 3
3 1
0 ...

result:

ok correct (100 test cases)

Test #17:

score: 0
Accepted
time: 1ms
memory: 3592kb

input:

94
6
4 4 4 4 3 1
7
1 2 2 0 3 1 4
5
4 2 1 1 2
4
4 1 2 2
2
1 0
6
4 4 0 3 2 4
5
1 2 4 3 4
7
1 4 2 1 2 4 1
4
0 2 2 3
6
3 4 2 1 4 3
2
0 2
7
2 1 1 0 2 0 2
4
3 4 1 3
5
2 4 2 1 3
2
3 2
7
1 2 1 1 4 2 0
5
2 2 1 1 3
6
3 1 2 2 4 4
3
2 3 0
5
1 1 1 0 3
4
3 4 2 3
3
4 0 2
3
1 1 1
2
3 0
4
3 3 3 4
4
1 3 3 3
4
2 3 3 1...

output:

1 3
4 4
4 4
4 4
2 4
0 2
4 2
3 1
1 1
3 1
2 2
4 2
1 1
3 1
2 2
4 2
3 1
2 2
-1
0 4
4 2
4 2
3 3
3 3
4 2
3 3
3 1
2 4
4 2
4 2
3 1
1 1
1 3
2 2
0 2
1 3
2 2
4 2
3 3
3 1
2 4
3 3
0 2
2 2
0 2
0 2
1 1
1 1
1 1
1 3
2 4
3 3
4 2
3 3
3 1
2 2
-1
4 2
0 2
1 1
1 1
1 1
1 3
1 1
1 3
2 2
2 2
4 2
4 2
3 3
3 3
3 1
0 2
1 3
1 1
1 ...

result:

ok correct (94 test cases)

Test #18:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

100
2
0 4
6
0 3 2 2 3 2
6
0 3 2 3 2 4
5
3 2 2 3 2
4
2 1 1 4
5
0 2 0 0 4
4
1 2 4 0
5
3 0 4 4 1
6
3 4 4 4 3 0
6
2 2 3 4 3 2
5
3 1 4 0 4
3
2 1 1
5
3 2 1 1 1
5
1 1 4 2 2
3
2 2 4
5
2 3 1 0 3
3
1 1 3
5
3 1 1 1 2
2
1 2
4
2 2 4 2
5
2 2 0 0 3
5
3 0 4 0 2
5
2 2 1 1 4
6
1 1 3 2 2 0
4
4 3 4 4
3
0 0 4
2
2 3
7
0 ...

output:

4 0
2 2
0 2
3 3
1 3
2 2
0 2
4 2
3 3
3 3
3 1
-1
4 2
1 1
3 1
4 0
0 0
2 2
0 2
2 4
3 1
0 2
0 4
2 4
3 3
3 1
4 4
0 4
2 4
3 3
3 3
2 2
2 2
4 2
3 3
3 3
0 4
2 4
3 3
3 1
-1
1 1
1 1
1 3
2 2
4 2
1 1
3 1
2 2
2 2
4 2
0 2
1 3
1 3
2 2
1 1
1 3
1 1
1 1
1 3
2 2
-1
2 2
2 2
4 2
0 2
0 2
1 1
1 3
4 0
0 2
1 3
2 2
4 2
1 1
3 1...

result:

ok correct (100 test cases)

Test #19:

score: 0
Accepted
time: 1ms
memory: 3624kb

input:

99
7
5 8 3 10 4 3 7
7
3 7 2 9 0 1 8
7
10 6 10 7 8 2 9
7
5 7 1 2 3 5 4
7
1 8 6 10 7 5 9
7
8 2 3 8 7 7 2
7
6 5 9 1 5 0 7
7
10 2 3 4 4 9 2
7
2 8 9 2 4 2 9
7
5 5 4 7 8 4 3
7
6 2 5 5 7 3 2
7
6 3 3 7 8 1 3
7
4 5 4 4 1 4 9
7
0 7 2 6 10 9 9
7
10 9 9 3 2 4 1
7
5 8 5 5 3 3 6
7
0 7 7 0 10 5 8
7
8 3 1 2 2 7 10
...

output:

4 10
7 7
7 3
5 5
5 3
4 8
8 2
5 1
3 9
6 0
3 7
5 3
10 6
8 10
8 2
5 9
7 7
7 9
4 2
3 5
3 5
4 4
7 1
4 4
8 10
9 9
9 5
7 7
7 1
4 6
8 2
8 2
5 7
5 3
6 4
5 7
0 6
3 7
5 5
5 1
9 5
3 7
2 10
4 6
4 2
3 9
3 5
6 4
2 2
8 2
4 2
9 5
3 7
5 9
8 4
6 4
5 3
5 7
4 6
5 5
2 6
4 2
3 3
3 5
5 7
4 6
8 6
7 3
5 1
3 7
3 3
5 3
9 5
7 1...

result:

ok correct (99 test cases)

Test #20:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

93
7
5 1 7 4 6 2 9
7
0 6 4 2 2 7 9
7
7 0 1 7 4 10 5
7
9 5 3 6 1 7 10
7
6 6 2 4 4 0 8
7
4 5 1 7 6 8 6
7
3 10 8 2 2 10 4
7
10 1 4 0 3 2 9
7
3 2 9 8 1 3 4
7
9 2 10 10 2 2 4
7
7 8 8 4 10 6 7
7
10 10 5 1 2 8 3
7
10 6 10 3 1 3 0
7
5 10 2 8 9 6 0
7
2 5 6 8 6 4 1
7
10 5 4 6 6 10 6
7
9 0 2 6 10 0 10
7
4 1 2 ...

output:

4 2
3 9
6 6
7 1
6 4
5 5
2 6
4 0
4 2
9 7
8 2
3 5
4 10
7 5
6 0
3 7
5 1
3 7
5 9
7 3
1 7
4 10
7 5
6 6
8 0
4 4
4 4
2 6
4 4
4 6
4 6
8 6
7 7
1 5
7 3
5 5
2 2
2 10
8 6
4 10
7 3
5 7
4 10
0 2
1 9
5 3
1 7
4 4
4 2
3 3
3 1
2 8
5 9
7 3
2 10
6 10
8 2
4 2
9 5
3 7
8 8
8 10
4 6
5 7
7 9
6 8
10 10
8 2
5 3
4 10
1 5
7 3
6...

result:

ok correct (93 test cases)

Test #21:

score: 0
Accepted
time: 1ms
memory: 3644kb

input:

100
7
5 2 6 0 4 1 0
7
2 2 6 7 0 0 4
7
9 5 9 6 9 1 10
7
1 10 3 3 3 0 1
7
5 2 9 1 5 1 6
7
3 5 1 2 1 4 3
7
4 5 10 7 8 0 5
7
2 4 10 0 0 1 10
7
9 1 9 3 4 0 9
7
2 9 5 6 3 2 6
7
5 10 5 10 9 10 3
7
2 8 2 9 8 7 9
7
7 0 8 7 0 2 10
7
5 2 1 3 9 5 4
7
0 0 8 6 9 3 2
7
2 1 4 7 1 6 5
7
3 1 1 6 4 7 2
7
1 4 1 3 10 6 ...

output:

4 0
2 2
0 6
3 5
4 2
3 1
0 0
2 2
0 2
4 6
5 1
3 7
9 9
9 9
1 5
3 9
6 10
8 6
0 10
5 1
3 3
3 3
3 3
3 1
5 1
9 3
1 5
6 2
4 6
3 5
4 2
3 3
3 1
3 5
2 4
3 1
8 4
0 10
5 5
5 5
5 7
6 6
0 4
2 10
6 2
10 4
7 1
0 4
9 1
5 9
9 3
6 4
5 7
6 0
6 2
2 6
4 4
3 9
4 6
5 5
5 5
9 3
6 10
10 10
8 10
9 5
8 2
8 2
5 9
7 7
9 5
7 7
8 0...

result:

ok correct (100 test cases)

Test #22:

score: 0
Accepted
time: 1ms
memory: 3580kb

input:

94
16
8 8 7 5 4 8 7 4 8 9 0 5 1 8 4 0
18
6 4 10 0 1 9 4 8 1 4 7 3 6 6 5 1 2 10
17
8 10 3 2 0 6 6 5 4 5 8 8 0 7 0 10 10
16
6 8 2 4 0 10 7 2 4 3 4 2 9 0 3 1
16
4 1 4 8 4 10 6 3 3 3 1 2 9 2 10 9
20
10 7 10 6 8 9 8 5 3 9 1 8 8 10 2 7 9 7 8 0
17
4 0 3 5 0 8 0 10 4 10 9 9 7 7 0 9 7
17
3 2 9 8 2 3 6 7 6 4 ...

output:

4 4
4 8
0 8
4 8
8 8
6 6
8 6
0 4
1 7
2 4
3 9
7 5
6 6
7 5
6 6
8 4
0 4
2 6
2 6
4 4
6 10
8 4
6 6
4 10
7 1
4 6
5 5
5 7
1 1
1 9
5 3
6 4
0 8
4 8
4 0
2 6
4 8
6 10
6 6
6 2
4 8
6 10
0 10
5 7
6 8
7 5
3 5
6 4
4 4
4 0
4 8
6 2
2 10
6 2
4 4
4 6
0 2
1 1
1 3
9 5
7 3
5 7
2 6
8 4
6 2
4 4
2 6
4 4
4 10
4 10
7 9
9 7
8 8
...

result:

ok correct (94 test cases)

Test #23:

score: 0
Accepted
time: 1ms
memory: 3580kb

input:

100
17
3 7 5 5 5 6 4 2 8 4 10 6 1 7 5 2 4
16
10 9 4 2 8 8 1 0 1 10 7 1 1 5 0 7
16
7 10 8 7 8 8 3 4 0 2 6 6 1 5 4 2
18
4 1 1 7 10 9 6 1 8 3 9 1 7 10 5 7 5 9
16
8 2 4 3 10 9 7 0 5 8 2 4 1 5 7 5
20
4 0 1 8 0 9 1 10 10 10 3 3 7 0 0 9 0 8 8 6
17
2 0 8 0 9 9 1 6 3 3 6 8 1 10 10 8 1
17
10 10 6 0 10 1 4 9 5...

output:

4 8
6 6
6 10
8 4
6 2
4 6
4 2
3 5
7 5
4 6
5 5
5 5
5 5
5 7
3 1
6 2
0 8
4 8
6 2
4 4
4 10
0 10
5 7
5 7
6 6
1 1
1 7
6 4
5 1
9 1
3 5
0 4
8 8
8 8
2 6
4 8
6 6
6 2
4 10
4 2
3 5
1 7
4 4
7 3
5 7
4 6
6 10
8 4
8 10
9 9
9 5
7 7
7 5
6 6
7 1
6 4
5 3
1 9
5 9
7 7
1 1
7 1
4 4
8 0
4 4
4 8
6 10
8 2
4 2
3 5
7 5
4 6
5 1
3...

result:

ok correct (100 test cases)

Test #24:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

100
17
3 0 6 0 3 4 10 7 5 9 9 7 5 0 1 3 1
19
1 0 10 8 6 0 8 9 6 3 3 8 6 10 7 2 0 5 9
16
10 4 4 5 4 1 10 9 0 4 6 2 10 4 2 8
19
6 10 9 3 10 8 9 4 6 9 2 0 10 5 0 6 10 3 8
19
5 1 0 4 8 7 3 8 10 5 0 6 9 7 5 7 5 10 0
18
10 8 6 9 2 10 9 0 10 8 5 6 10 6 9 10 1 1
17
5 5 0 5 4 6 7 3 0 4 10 2 2 1 2 3 3
17
9 3 ...

output:

4 0
2 6
4 0
0 10
5 1
3 3
3 1
2 2
5 7
2 6
9 9
9 5
7 7
7 3
5 3
4 4
8 8
8 0
4 8
6 10
8 0
6 6
6 6
6 10
8 4
0 2
1 9
5 5
5 7
6 6
3 3
9 1
3 5
6 4
4 4
4 0
4 4
4 4
2 10
6 2
4 4
6 10
8 4
6 10
8 2
5 9
7 5
6 8
7 1
0 0
0 4
2 6
4 8
6 10
2 6
4 8
6 10
10 6
8 8
8 10
9 3
6 8
7 5
9 9
9 9
9 3
6 6
0 8
4 8
4 0
2 6
6 10
8...

result:

ok correct (100 test cases)

Test #25:

score: 0
Accepted
time: 2ms
memory: 3692kb

input:

100
46
6 6 0 8 7 7 3 5 0 1 6 10 6 6 2 8 1 10 9 3 6 5 9 2 3 9 10 7 9 0 1 6 6 5 9 6 0 8 1 1 5 8 7 4 9 1
64
0 3 10 5 9 9 5 2 4 10 3 5 0 3 5 1 3 0 9 9 7 8 2 9 0 5 1 9 5 5 7 2 10 7 2 6 8 2 1 2 0 4 8 9 0 5 4 8 2 2 2 8 0 8 6 3 4 1 3 6 10 9 10 0
94
10 10 0 6 0 10 4 3 3 0 3 1 4 10 2 8 7 10 7 5 1 10 3 2 6 2 5...

output:

8 8
8 0
4 0
8 0
4 8
6 2
4 0
2 6
6 10
8 4
6 2
6 10
8 4
6 2
6 6
6 10
8 4
6 6
6 6
6 6
4 6
5 1
3 9
6 6
7 5
6 6
1 1
1 9
5 5
5 1
3 9
6 6
9 7
6 8
7 9
5 3
8 4
9 3
6 6
1 1
1 5
3 3
3 7
5 7
6 6
4 8
0 8
4 8
4 0
8 4
0 8
4 0
8 0
4 0
4 0
2 2
2 2
2 6
2 6
4 4
6 10
8 4
6 6
6 6
6 2
2 2
2 2
2 2
2 6
4 4
2 10
6 2
4 4
2 1...

result:

ok correct (100 test cases)

Test #26:

score: 0
Accepted
time: 2ms
memory: 3616kb

input:

100
78
3 4 9 3 8 7 2 5 2 4 2 2 3 9 3 2 4 10 2 3 0 9 4 6 2 0 10 2 4 8 9 2 7 9 9 1 4 8 2 1 5 10 5 2 7 3 5 0 0 6 4 8 3 7 8 4 6 9 5 1 5 6 10 3 4 4 2 1 4 10 9 2 7 1 3 1 4 6
95
4 7 6 2 3 7 10 1 7 7 5 6 8 1 6 6 6 10 3 2 2 9 3 2 4 7 3 3 9 2 2 7 2 9 3 4 0 3 5 5 6 5 9 4 2 9 5 7 9 5 1 1 8 2 6 6 0 9 5 8 6 8 8 4...

output:

4 4
4 4
4 4
4 8
8 4
0 0
0 8
4 4
4 8
4 0
4 0
4 4
4 8
6 2
4 4
2 6
4 4
6 6
6 2
4 4
10 2
6 10
8 4
6 6
6 6
6 6
6 2
10 2
6 2
4 4
2 10
6 2
4 4
6 2
4 4
10 2
6 2
4 4
2 2
2 2
4 2
4 6
5 1
3 3
3 1
7 3
5 9
7 1
2 4
3 5
1 3
4 2
3 9
7 5
6 6
5 3
6 4
5 7
5 3
6 4
5 1
3 1
9 5
7 9
2 8
5 9
7 9
3 7
5 3
8 4
3 9
6 6
7 5
6 6...

result:

ok correct (100 test cases)

Test #27:

score: 0
Accepted
time: 2ms
memory: 3664kb

input:

100
64
7 8 5 10 5 10 7 9 9 6 1 4 1 4 4 10 10 9 9 4 1 6 10 0 7 9 3 5 0 0 4 0 0 2 10 1 10 9 7 3 2 3 1 4 6 4 6 8 5 4 2 10 5 10 1 7 10 6 2 4 0 0 8 7
90
2 6 0 1 0 4 6 7 9 0 8 5 6 6 9 7 3 7 8 0 7 8 1 3 2 8 6 6 10 1 1 5 8 6 10 5 3 4 9 8 10 3 3 5 0 2 5 6 7 2 9 1 10 2 7 0 9 9 10 6 3 2 10 1 6 9 6 1 3 10 4 0 2...

output:

0 0
0 4
4 8
4 4
4 0
0 4
0 0
0 0
0 4
4 4
4 4
4 8
6 2
2 2
2 6
4 4
2 6
4 4
10 10
10 10
10 2
6 6
6 6
6 2
4 4
10 10
10 2
6 10
8 4
6 6
6 10
10 6
8 8
10 10
8 10
8 2
5 7
7 9
6 8
7 5
5 1
3 1
6 2
3 3
3 7
5 9
7 1
4 4
3 5
4 4
7 9
4 8
9 1
5 9
7 1
6 4
5 9
7 9
7 1
8 4
5 5
5 7
6 6
4 0
0 4
0 4
0 0
0 8
4 4
4 8
8 8
8 ...

result:

ok correct (100 test cases)

Test #28:

score: -23
Time Limit Exceeded

input:

100
41905
7 0 1 6 7 6 10 4 9 10 10 8 4 9 6 7 0 5 7 9 10 7 0 7 7 2 10 5 0 4 0 0 1 5 10 6 10 5 9 6 4 10 10 8 5 4 3 7 7 6 0 9 0 4 10 6 5 4 6 6 4 3 2 8 9 3 0 0 1 5 6 10 8 2 2 9 5 8 4 4 9 10 3 1 0 5 6 3 0 4 0 7 2 7 9 0 5 1 9 1 4 6 0 0 7 3 2 2 9 8 5 0 5 0 6 7 10 1 0 2 1 10 3 2 1 0 5 6 10 6 6 0 10 6 1 4 9 ...

output:

8 8
8 8
8 4
0 0
0 0
0 8
4 8
8 8
8 0
4 4
4 8
8 8
8 0
4 0
0 0
0 4
8 0
4 8
0 8
4 0
4 4
4 0
4 8
4 8
0 8
4 8
4 8
8 0
4 0
8 0
4 8
0 8
4 0
0 0
0 0
0 4
4 8
0 0
0 4
0 0
0 4
4 8
8 0
4 0
0 0
0 8
4 8
8 0
4 0
0 0
0 0
0 8
4 4
4 8
0 0
0 0
0 0
0 0
0 8
4 4
4 0
8 8
8 8
8 0
4 4
4 8
4 4
4 0
0 4
0 8
4 8
0 8
4 8
0 0
0 4
...

result:


Subtask #3:

score: 16
Accepted

Test #34:

score: 16
Accepted
time: 121ms
memory: 3588kb

input:

100000
5
846784256447769304 457696478728961702 128469521648960690 597630796847754190 104256763714529164
5
658897822238868978 472135077337628566 399538027669313322 622703684108675696 425723088635325654
5
917704960887390986 140817562615382054 877934664521057998 782212806618666818 616380973421914538
8
...

output:

104256763714529164 846784256447769304
475520510081149234 597630796847754190
128469521648960690 457696478728961702
293083000188961196 536575653464451712
425723088635325654 399538027669313322
412630558152319488 622703684108675696
472135077337628566 658897822238868978
565516449788248772 517667121130497...

result:

ok correct (100000 test cases)

Test #35:

score: 0
Accepted
time: 166ms
memory: 3572kb

input:

100000
4
132941437397264810 143141501854884272 958712444844113692 341497234016264540
7
923004266892618172 15365813785503270 930609521602302292 819335542601433618 213670074288711286 150311691204302148 244405681344585926
5
371893080714371800 575829750571342010 292988012239447120 115093373296591180 268...

output:

341497234016264540 958712444844113692
650104839430189116 143141501854884272
396623170642536694 132941437397264810
150311691204302148 930609521602302292
540460606403302220 923004266892618172
244405681344585926 213670074288711286
229037877816648606 819335542601433618
524186710209041112 731732436647960...

result:

ok correct (100000 test cases)

Test #36:

score: 0
Accepted
time: 107ms
memory: 3604kb

input:

100000
4
928198344825292264 690070772109811286 244045206839989604 561025252182682906
3
627239866615848210 42470017740412280 54251562555326842
3
490057757292451598 818062735467254804 348318035919019310
2
551686081736618768 194488231774246450
3
112852023970360962 332810104058707034 451110399052627062
...

output:

244045206839989604 928198344825292264
586121775832640934 561025252182682906
573573514007661920 690070772109811286
54251562555326842 627239866615848210
42470017740412280 340745714585587526
348318035919019310 490057757292451598
818062735467254804 419187896605735454
551686081736618768 19448823177424645...

result:

ok correct (100000 test cases)

Test #37:

score: 0
Accepted
time: 168ms
memory: 3612kb

input:

50000
15
970453612553526824 403854393807928174 722892131244078370 35115189723455662 375191889860000444 915405723947874872 635574780184696680 264400470199418708 859039596531178468 27938184881043946 553805664139227226 876314307095280030 571028682295683456 30435765695090076 81051167961127742
20
7987413...

output:

30435765695090076 571028682295683456
859039596531178468 264400470199418708
561720033365298588 635574780184696680
915405723947874872 375191889860000444
645298806903937658 598647406774997634
621973106839467646 300732223995386766
461352665417427206 81051167961127742
271201916689277474 87631430709528003...

result:

ok correct (50000 test cases)

Test #38:

score: 0
Accepted
time: 145ms
memory: 3588kb

input:

50000
20
998788559176849620 191593882411529926 342711646561735406 56435783243285828 213144199738872896 552932543009462260 862655508602678778 197769932466201968 649107231900330578 606332158266321414 679519095246181928 69228654018660218 907522706303602556 706594708190768848 317996892998797510 98299001...

output:

280145788708142508 801974222113409124
541060005410775816 982990013470682716
706594708190768848 907522706303602556
679519095246181928 197769932466201968
438644513856191948 552932543009462260
495788528432827104 213144199738872896
354466364085850000 56435783243285828
205451073664567914 8070587072471857...

result:

ok correct (50000 test cases)

Test #39:

score: 0
Accepted
time: 144ms
memory: 3580kb

input:

50000
19
687533614023914694 738663892302361454 628044408557611320 475365328934162610 242048409095362442 254414508714647088 415287407545536222 333427085181162020 691789987581261114 501496830456417768 370865072857248388 610878478005084624 460491699469405256 995621599317911412 72184531803437802 5221300...

output:

435000735991149736 522130070969414520
478565403480282128 995621599317911412
460491699469405256 610878478005084624
535685088737244940 370865072857248388
453275080797246664 501496830456417768
477385955626832216 333427085181162020
254414508714647088 628044408557611320
405406520403997118 737093501399096...

result:

ok correct (50000 test cases)

Test #40:

score: 0
Accepted
time: 140ms
memory: 3588kb

input:

30000
25
701453932981408346 465306500019836282 792774089369512740 928134668660137906 489548012753296822 563069662510759842 456553328586506700 752651620972947846 610563120623014800 946872198162810216 382124190056540228 528408240467204940 156080508230960224 755279683495886594 353003950140523154 726814...

output:

759546580482469476 671093790812801428
715320185647635452 264865148139811024
331430792491044112 156080508230960224
243755650361002168 528408240467204940
382124190056540228 946872198162810216
610563120623014800 456553328586506700
533558224604760750 664498194109675222
599028209357217986 386081945414103...

result:

ok correct (30000 test cases)

Test #41:

score: 0
Accepted
time: 139ms
memory: 3652kb

input:

30000
24
802553849623129746 211707666543464912 78106851365388652 41150834245659428 824295231323480318 65220471583082028 504011063830422278 582465764474213950 653316240753155704 254391730000013712 73470169815090336 70058062306145696 320805890715812130 762434076887201766 107191591092647094 66623182252...

output:

317895789993303868 476075710640293640
713862378171374300 684143755784659968
66623182252282192 70058062306145696
68340622279213944 73470169815090336
70905396047152140 254391730000013712
653316240753155704 65220471583082028
41150834245659428 78106851365388652
59628842805524040 211707666543464912
35926...

result:

ok correct (30000 test cases)

Test #42:

score: 0
Accepted
time: 162ms
memory: 3632kb

input:

30000
27
457692759396051910 105542225399435134 28952855744712754 551775949854678384 243201017518706110 830727952675976422 770508119165800012 202072001288194376 842102259870000526 184524967708115324 636362069740656520 654459612358466674 183209892432401444 100513548134942846 72707763558771580 42597951...

output:

932151312699294980 80157746650466448
935240383379985812 154087971015879464
968793307366073360 938142428437837892
88106760930326920 425979517791387492
72707763558771580 183209892432401444
127958827995586512 636362069740656520
382160448868121516 184524967708115324
283342708288118420 202072001288194376...

result:

ok correct (30000 test cases)

Test #43:

score: 0
Accepted
time: 161ms
memory: 20168kb

input:

100
365633
240280625535601202 938026129049958522 147115906397155306 652580989323075650 725975096118295602 205776298062652394 601103849421971138 331987681752388762 840580362429635958 835259996207496842 119358021292888398 319502650126227206 963133797479057582 879470558738716974 741484002023142690 3370...

output:

780781389890772134 462546456847920258
983273217073289170 54703858887732306
518988537980510738 121007210812414874
319997874396462806 542567485305147330
431282679850805068 621663923369346196
699873189331273774 290960058824475954
495416624077874864 526473301610075632
376100996009174838 9002308395152315...

result:

ok correct (100 test cases)

Test #44:

score: 0
Accepted
time: 220ms
memory: 20796kb

input:

100
468798
784219641558971418 868193736931466770 709669653094040434 820342537947112058 551143489403660526 267279653811163658 370522601251248390 368960240455457934 377406818992348662 446571520515917398 203417725700526758 781465163407686018 793863659816666930 689102809204233742 460833182899194594 8845...

output:

812530407663751406 882679806250695874
810693562577937022 8779693935145434
409736628256541228 847605106957223640
628670867606882434 965388653482500574
170815080687607818 69534330454674702
120174705571141260 797029760544691504
458602233057916382 237228791906436414
347915512482176398 101818031440929414...

result:

ok correct (100 test cases)

Test #45:

score: 0
Accepted
time: 186ms
memory: 17448kb

input:

100
335003
576606818757903242 39138102231712338 101565358810296722 500967049719563958 60093483316193590 435418544638688670 883896893287765898 482015906798694930 208166390296394766 603169642587608970 697598340090102702 37116072285605102 692409274069565602 359039270687175358 598214522887322026 9588135...

output:

486076417769142294 37999509308599778
262037963538871036 494765326766777336
378401645152824186 747053273988117554
562727459570470870 660483425940083014
611605442755276942 898547649727091586
492361107982889110 112077483133802110
302219295558345610 400296715320192834
351258005439269222 3446980493602438...

result:

ok correct (100 test cases)

Subtask #4:

score: 0
Time Limit Exceeded

Test #46:

score: 0
Time Limit Exceeded

input:

100
211957
911918942087402387 344230223346742784 16289402153237664 528890583619159010 886281719684850237 865484734102017297 321851390502278959 754268375474197153 237414161302130571 135637002716682378 824412491959977735 162505521049217610 246319278060116103 666703181591704279 650875500699154233 96397...

output:

897655518245439560 780438536468326472
839047027356883016 444950768839720960
641998898098301988 186730312418961600
988268985652269236 473341823171477140
730805404411873188 109948005973364296
494927481562234444 365104786688751580
430016134125493012 224603118414672644
327309626270082828 908275570361964...

result: