QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#117070#6667. ProsjekHe_Ren#25 212ms15256kbC++172.4kb2023-06-30 12:48:202024-05-31 18:40:31

Judging History

你现在查看的是最新测评结果

  • [2024-05-31 18:40:31]
  • 评测
  • 测评结果:25
  • 用时:212ms
  • 内存:15256kb
  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-06-30 12:48:20]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
const int MAXN = 1e6 + 5;

int n;
ll a[MAXN];

namespace Subtask1
{
	vector< pair<ll,ll> > seq;
	bool del[10];
	bool valid;
	
	void dfs(int dep)
	{
		if(valid) return;
		if(dep == n-1)
		{
			for(auto t: seq)
				printf("%lld %lld\n",t.first,t.second);
			valid = 1;
			return;
		}
		for(int i=1; i<=n; ++i) if(!del[i])
			for(int j=1; j<i; ++j) if(!del[j] && (a[i] & 1) == (a[j] & 1))
			{
				ll x = a[i], y = a[j];
				del[j] = 1; a[i] = (x + y) >> 1;
				seq.emplace_back(x, y);
				
				dfs(dep + 1);
				
				if(valid) return;
				
				del[j] = 0; a[i] = x; a[j] = y;
				seq.pop_back();
			}
	}
	
	void solve(void)
	{
		seq.clear();
		memset(del, 0, sizeof(del));
		valid = 0;
		dfs(0);
		if(!valid)
			printf("-1\n");
	}
}

namespace Subtask2
{
	int cnt[11];
	pii seq[MAXN];
	
	bool valid;
	
	void dfs(int dep)
	{
		if(valid) return;
		if(dep == n-1)
		{
			for(int i=1; i<=n-1; ++i)
				printf("%d %d\n",seq[i].first,seq[i].second);
			valid = 1;
			return;
		}
		for(int i=0; i<=10; ++i) if(cnt[i])
			for(int j=i&1; j<=i; j+=2) if(cnt[j])
			{
				if(i == j && cnt[i] == 1) continue;
				
				int k = (i + j) >> 1;
				--cnt[i]; --cnt[j]; ++cnt[k];
				seq[dep+1] = {i,j};
				
				dfs(dep + 1);
				
				if(valid) return;
				
				++cnt[i]; ++cnt[j]; --cnt[k];
			}
	}
	
	void solve(void)
	{
		memset(cnt, 0, sizeof(cnt));
		for(int i=1; i<=n; ++i)
			++cnt[a[i]];
		valid = 0;
		
		dfs(0);
		
		if(!valid) printf("-1\n");
	}
}

void solve(void)
{
	scanf("%d",&n);
	for(int i=1; i<=n; ++i)
		scanf("%lld",&a[i]);
	
	vector<ll> vec[4];
	for(int i=1; i<=n; ++i)
		vec[a[i] % 4].emplace_back(a[i]);
	
	if(vec[1].size() || vec[3].size())
	{
		if(n <= 7)
			Subtask1 :: solve();
		else
			Subtask2 :: solve();
		return;
	}
	
	auto upd = [&] (int i,int j)
	{
		ll x = vec[i].back(); vec[i].pop_back();
		ll y = vec[j].back(); vec[j].pop_back();
		
		printf("%lld %lld\n",x,y);
		
		ll z = (x + y) / 2;
		vec[z % 4].emplace_back(z);
	};
	while(vec[0].size() >= 2 || vec[2].size() >= 2)
	{
		if(vec[0].size() >= 2) upd(0, 0);
		if(vec[2].size() >= 2) upd(2, 2);
	}
	while(vec[0].size() && vec[2].size()) upd(0, 2);
}

int main(void)
{
	int T;
	scanf("%d",&T);
	while(T--) solve();
	return 0;
}

详细

Subtask #1:

score: 9
Accepted

Test #1:

score: 9
Accepted
time: 1ms
memory: 6124kb

input:

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

output:

19206582949872932 739880851158065302
883064254701115295 379543717053969117
222072661880779376 631303985877542206
53191076581680214 209088712310207988
131139894445944101 148399819461615003
445068618251612752 139769856953779552
115754892157516718 292419237602696152
204087064880106435 23050527959462210...

result:

ok correct (99 test cases)

Test #2:

score: 0
Accepted
time: 1ms
memory: 6096kb

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 11643656493074325
123849906165842189 99035483871538403
111442695018690296 522567009208273608
327977047389442178 415343718607892434
962072443749424073 106161059262489233
442437950417792236 371660382998667306
407049166708229771 534116751505956653
845051373320458660 18320355020921218...

result:

ok correct (94 test cases)

Test #3:

score: 0
Accepted
time: 0ms
memory: 5848kb

input:

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

output:

592566222682195905 992926089095812859
851047547791588090 792746155889004382
500497313856354147 287668656568989067
394082985212671607 117812034990980493
255947510101826050 821896851840296236
738445394838743009 422579495815431679
804094328392164866 580512445327087344
692303386859626105 952584027249447...

result:

ok correct (100 test cases)

Test #4:

score: 0
Accepted
time: 1ms
memory: 5832kb

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

result:

ok correct (100 test cases)

Test #5:

score: 0
Accepted
time: 1ms
memory: 5828kb

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:

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

result:

ok correct (94 test cases)

Test #6:

score: 0
Accepted
time: 1ms
memory: 5780kb

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

result:

ok correct (100 test cases)

Test #7:

score: 0
Accepted
time: 1ms
memory: 5780kb

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:

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

result:

ok correct (99 test cases)

Test #8:

score: 0
Accepted
time: 1ms
memory: 5916kb

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:

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

result:

ok correct (93 test cases)

Test #9:

score: 0
Accepted
time: 1ms
memory: 5836kb

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:

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

result:

ok correct (100 test cases)

Test #10:

score: 0
Accepted
time: 7ms
memory: 5920kb

input:

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

output:

92344336866099257 194031217145504953
940210838006020793 143187777005802105
396343433783471865 541699307505911449
833335571389105081 469021370644691657
123990781067666617 651178471016898369
387584626042282493 707981138553400851
-1
801261513359172095 98808889424018047
921145552784143923 45003520139159...

result:

ok correct (100 test cases)

Test #11:

score: 0
Accepted
time: 6ms
memory: 5840kb

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
340001652854843925 841308117597371541
23964809098691093 590654885226...

result:

ok correct (100 test cases)

Test #12:

score: 0
Accepted
time: 3ms
memory: 6120kb

input:

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

output:

558054530285134638 735384431780948558
646719481033041598 178731131822407886
412725306427724742 890919396545837966
651822351486781354 72324744142816334
954139817168296398 362073547814798844
658106682491547621 899256715441852725
953414663451276723 45395071650811539
499404867551044131 25327376864265717...

result:

ok correct (100 test cases)

Test #13:

score: 0
Accepted
time: 4ms
memory: 5800kb

input:

100
7
342815440894770237 577260666108880189 963303186935010749 643035993160981245 559737192409772678 500327699207606141 589782199529447645
7
893322664971323518 398511528472082622 489134244464820638 887066650526334270 435922568352264510 648203813296851902 217099014542362271
7
383086708597299653 29135...

output:

589782199529447645 342815440894770237
466298820212108941 577260666108880189
521779743160494565 963303186935010749
742541465047752657 643035993160981245
692788729104366951 500327699207606141
596558214155986546 559737192409772678
489134244464820638 893322664971323518
691228454718072078 398511528472082...

result:

ok correct (100 test cases)

Test #14:

score: 0
Accepted
time: 2ms
memory: 6120kb

input:

100
7
88863843597158046 950122471548607422 265724776830453214 192629087498442078 520578369613131745 714426339203311198 948564805318863646
7
205975292586876774 145671480839848358 259140903385588902 4849406731994534 141512727977970089 858343655268985638 202419714899120006
7
61433277510053499 235584360...

output:

950122471548607422 88863843597158046
265724776830453214 519493157572882734
192629087498442078 392608967201667974
714426339203311198 292619027350055026
948564805318863646 503522683276683112
726043744297773379 520578369613131745
202419714899120006 205975292586876774
204197503742998390 1456714808398483...

result:

ok correct (100 test cases)

Test #15:

score: 0
Accepted
time: 4ms
memory: 5848kb

input:

100
7
554325256470531726 456873078421784369 918394802304294481 630970289930190705 907221660666961905 444595055227052593 562141050125551985
7
666700133887673307 676437315778672187 103719581474450220 750499716656298171 958176162217016955 831078782085213243 412967682206399611
7
575687600279994039 45869...

output:

918394802304294481 456873078421784369
630970289930190705 687633940363039425
907221660666961905 659302115146615065
444595055227052593 783261887906788485
562141050125551985 613928471566920539
588034760846236262 554325256470531726
676437315778672187 666700133887673307
750499716656298171 671568724833172...

result:

ok correct (100 test cases)

Subtask #2:

score: 0
Time Limit Exceeded

Test #16:

score: 23
Accepted
time: 1ms
memory: 5872kb

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

result:

ok correct (100 test cases)

Test #17:

score: 0
Accepted
time: 0ms
memory: 5844kb

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:

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

result:

ok correct (94 test cases)

Test #18:

score: 0
Accepted
time: 0ms
memory: 5848kb

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

result:

ok correct (100 test cases)

Test #19:

score: 0
Accepted
time: 1ms
memory: 5848kb

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:

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

result:

ok correct (99 test cases)

Test #20:

score: 0
Accepted
time: 1ms
memory: 5916kb

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:

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

result:

ok correct (93 test cases)

Test #21:

score: 0
Accepted
time: 1ms
memory: 5840kb

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:

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

result:

ok correct (100 test cases)

Test #22:

score: 0
Accepted
time: 1ms
memory: 5832kb

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:

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

result:

ok correct (94 test cases)

Test #23:

score: 0
Accepted
time: 1ms
memory: 5836kb

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:

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

result:

ok correct (100 test cases)

Test #24:

score: 0
Accepted
time: 0ms
memory: 5840kb

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:

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

result:

ok correct (100 test cases)

Test #25:

score: 0
Accepted
time: 1ms
memory: 6132kb

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:

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

result:

ok correct (100 test cases)

Test #26:

score: 0
Accepted
time: 1ms
memory: 6108kb

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:

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

result:

ok correct (100 test cases)

Test #27:

score: 0
Accepted
time: 1ms
memory: 5844kb

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

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:


result:


Subtask #3:

score: 16
Accepted

Test #34:

score: 16
Accepted
time: 147ms
memory: 5848kb

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: 150ms
memory: 5836kb

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
244405681344585926 213670074288711286
540460606403302220 923004266892618172
229037877816648606 819335542601433618
524186710209041112 731732436647960...

result:

ok correct (100000 test cases)

Test #36:

score: 0
Accepted
time: 158ms
memory: 5844kb

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: 191ms
memory: 5832kb

input:

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

output:

30435765695090076 571028682295683456
300732223995386766 81051167961127742
859039596531178468 264400470199418708
190891695978257254 876314307095280030
561720033365298588 635574780184696680
598647406774997634 533603001536768642
915405723947874872 375191889860000444
645298806903937658 56612520415588313...

result:

ok correct (50000 test cases)

Test #38:

score: 0
Accepted
time: 187ms
memory: 5836kb

input:

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

output:

280145788708142508 801974222113409124
82951860797867962 233934493014788330
541060005410775816 982990013470682716
762025009440729266 158443176906328146
706594708190768848 907522706303602556
807058707247185702 460234093173528706
633646400210357204 679519095246181928
656582747728269566 3179968929987975...

result:

ok correct (50000 test cases)

Test #39:

score: 0
Accepted
time: 173ms
memory: 5920kb

input:

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

output:

435000735991149736 522130070969414520
402837784917503802 473640262986677202
478565403480282128 995621599317911412
737093501399096770 438239023952090502
587666262675593636 460491699469405256
524078981072499446 72184531803437802
298131756437968624 610878478005084624
691789987581261114 4152874075455362...

result:

ok correct (50000 test cases)

Test #40:

score: 0
Accepted
time: 176ms
memory: 5808kb

input:

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

output:

759546580482469476 671093790812801428
304233754191711742 691288776835558270
715320185647635452 264865148139811024
490092666893723238 497761265513635006
331430792491044112 156080508230960224
493926966203679122 561451759575364210
243755650361002168 528408240467204940
386081945414103554 527689362889521...

result:

ok correct (30000 test cases)

Test #41:

score: 0
Accepted
time: 166ms
memory: 6096kb

input:

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

output:

317895789993303868 476075710640293640
396985750316798754 40187248199180534
218586499257989644 713862378171374300
556915919971198542 801262516027000718
466224438714681972 684143755784659968
575184097249670970 679089217999099630
627136657624385300 66623182252282192
346879919938333746 97366273368145969...

result:

ok correct (30000 test cases)

Test #42:

score: 0
Accepted
time: 171ms
memory: 5840kb

input:

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

output:

932151312699294980 80157746650466448
506154529674880714 300417521345265250
935240383379985812 154087971015879464
544664177197932638 403286025510072982
968793307366073360 938142428437837892
953467867901955626 473975101354002810
88106760930326920 425979517791387492
257043139360857206 71372148462797921...

result:

ok correct (30000 test cases)

Test #43:

score: 0
Accepted
time: 190ms
memory: 15256kb

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: 212ms
memory: 12472kb

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: 203ms
memory: 14012kb

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
Runtime Error

Test #46:

score: 0
Runtime Error

input:

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

output:


result: