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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#117117#6667. Prosjekxtqqwq#100 ✓370ms39432kbC++1410.6kb2023-06-30 12:59:562024-05-31 18:43:08

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  • [2024-05-31 18:43:08]
  • 评测
  • 测评结果：100
  • 用时：370ms
  • 内存：39432kb
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  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-06-30 12:59:56]
  • 提交

answer

#include<bits/stdc++.h>

#define pb push_back
#define fi first
#define se second
#define mp make_pair

using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef long double ld;

template <typename T> bool chkmin(T &x,T y){return x>y?x=y,1:0;}
template <typename T> bool chkmax(T &x,T y){return x<y?x=y,1:0;}

ll readint(){
	ll x=0,f=1; char ch=getchar();
	while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
	while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
	return x*f;
}

int n,cnt;
ll a[2000005];
bool vis[2000005];
vector<ll> b[20][10005];
vector<pll> c[4],ans;

pll merge(pll x,pll y){
	ll res=(x.fi+y.fi)/2;
	ans.pb(mp(x.fi,y.fi));
	vis[x.se]=vis[y.se]=1;
	a[++cnt]=res;
	return mp(res,cnt);
}

void init(){
	ans.clear();
	for(int i=1;i<=n+n;i++) vis[i]=0;
	for(int i=0;i<4;i++) b[2][i].clear();
	for(int i=0;i<4;i++) c[i].clear();
	cnt=n;
}

bool solve1(){
	init();
	for(int i=1;i<=n;i++) b[2][a[i]%4].pb(a[i]);
	if(!b[2][0].size()&&!b[2][2].size()){
		for(int i=1;i<n;i++){
			if(b[2][1].size()>=2){
				ll x=b[2][1].back(); b[2][1].pop_back();
				ll y=b[2][1].back(); b[2][1].pop_back();
				printf("%lld %lld\n",x,y);
				b[2][(x+y)/2%4].pb((x+y)/2);
			}
			else if(b[2][3].size()>=2){
				ll x=b[2][3].back(); b[2][3].pop_back();
				ll y=b[2][3].back(); b[2][3].pop_back();
				printf("%lld %lld\n",x,y);
				b[2][(x+y)/2%4].pb((x+y)/2);
			}
			else printf("%lld %lld\n",b[2][1][0],b[2][3][0]);
		}
		return true;
	}
	if(!b[2][0].size()||!b[2][2].size()){
		int lst=b[2][0].size()?0:2;
		vector<pll> vec;
		for(int i=1;i<=n;i++) if(a[i]&1) vec.pb(mp(a[i],i));
		if(!vec.size()) goto here;
		for(int i=2;i<=62;i++){
			vector<pll> tmp[2];
			for(auto r:vec){
				if(vis[r.se]) continue;
				tmp[(r.fi>>(i-1))&1].pb(r);
			}
			if(tmp[0].size()&&tmp[1].size()){
				if(i>2){
					vec.pb(merge(tmp[0][0],tmp[1][0]));
					i-=2;
				}
				else{
					while(1){
						if(tmp[0].size()>=2){
							pll x1=tmp[0].back(); tmp[0].pop_back();
							pll x2=tmp[0].back(); tmp[0].pop_back();
							pll y=tmp[1].back(); tmp[1].pop_back();
							if((x1.fi+y.fi)/2%4!=lst){
								merge(x1,y);
								break;
							}
							else if((x2.fi+y.fi)/2%4!=lst){
								merge(x2,y);
								break;
							}
							else{
								tmp[1].pb(y);
								tmp[0].pb(merge(x1,x2));
							}
						}
						else if(tmp[1].size()>=2){
							pll x1=tmp[1].back(); tmp[1].pop_back();
							pll x2=tmp[1].back(); tmp[1].pop_back();
							pll y=tmp[0].back(); tmp[0].pop_back();
							if((x1.fi+y.fi)/2%4!=lst){
								merge(x1,y);
								break;
							}
							else if((x2.fi+y.fi)/2%4!=lst){
								merge(x2,y);
								break;
							}
							else{
								tmp[0].pb(y);
								tmp[1].pb(merge(x1,x2));
							}
						}
						else{
							merge(tmp[0][0],tmp[1][0]);
							break;
						}
					}
					break;
				}
			}
			if(i==62) return false;
		}
	}
	here:
	// cout<<"test ";
	// for(int i=1;i<=cnt;i++) if(!vis[i]) cout<<a[i]<<' ';
	// cout<<endl;
	int rt=0;
	for(int i=1;i<=cnt;i++) if(!vis[i]&&a[i]%2==1) rt=i;
	if(rt){
		for(int i=1;i<=cnt;i++) if(!vis[i]&&a[i]%2==1) c[a[i]%4].pb(mp(a[i],i));
		while(1){
			if(c[1].size()+c[3].size()<=1) break;
			if(c[1].size()>=2){
				pll x=c[1].back(); c[1].pop_back();
				pll y=c[1].back(); c[1].pop_back();
				c[(x.fi+y.fi)/2%4].pb(merge(x,y));
			}
			else if(c[3].size()>=2){
				pll x=c[3].back(); c[3].pop_back();
				pll y=c[3].back(); c[3].pop_back();
				c[(x.fi+y.fi)/2%4].pb(merge(x,y));
			}
			else{
				merge(c[1][0],c[3][0]);
				break;
			}
		}
	}
	rt=0;
	for(int i=1;i<=cnt;i++) if(!vis[i]&&a[i]%2==1) rt=i;
	// cout<<"test ";
	// for(int i=1;i<=cnt;i++) if(!vis[i]) cout<<a[i]<<' ';
	// cout<<endl;
	if(rt){
		for(int i=0;i<4;i++) c[i].clear();
		for(int i=1;i<=cnt;i++){
			if(vis[i]) continue;
			c[a[i]%4].pb(mp(a[i],i));
		}
		int lst=c[1].size()?1:3;
		pll fin=mp(0,0),ed=mp(0,0);
		while(1){
			if(c[0].size()>=2){
				pll x1=c[0].back(); c[0].pop_back();
				pll x2=c[0].back(); c[0].pop_back();
				pll y=c[2].back(); c[2].pop_back();
				if((x1.fi+y.fi)/2%4!=lst){
					fin=merge(x1,y);
					break;
				}
				else if((x2.fi+y.fi)/2%4!=lst){
					fin=merge(x2,y);
					break;
				}
				else{
					c[2].pb(y);
					c[0].pb(merge(x1,x2));
				}
			}
			else if(c[2].size()>=2){
				pll x1=c[2].back(); c[2].pop_back();
				pll x2=c[2].back(); c[2].pop_back();
				pll y=c[0].back(); c[0].pop_back();
				if((x1.fi+y.fi)/2%4!=lst){
					fin=merge(x1,y);
					break;
				}
				else if((x2.fi+y.fi)/2%4!=lst){
					fin=merge(x2,y);
					break;
				}
				else{
					c[0].pb(y);
					c[2].pb(merge(x1,x2));
				}
			}
			else{
				ed=merge(c[0][0],c[2][0]);
				break;
			}
		}
		if(fin.se){
			if(c[1].size()) merge(c[1][0],fin);
			else merge(c[3][0],fin);
		}
		else{
			if(c[1].size()) merge(c[1][0],ed);
			else merge(c[3][0],ed);
		}
	}
	b[2][0].clear(),b[2][2].clear();
	for(int i=1;i<=cnt;i++){
		if(vis[i]) continue;
		b[2][a[i]%4].pb(a[i]);
	}
	// cout<<"test ";
	// for(int i=1;i<=cnt;i++) if(!vis[i]) cout<<a[i]<<' ';
	// cout<<endl;
	while(1){
		if(b[2][0].size()+b[2][2].size()<=1) break;
		if(b[2][0].size()>=2){
			ll x=b[2][0].back(); b[2][0].pop_back();
			ll y=b[2][0].back(); b[2][0].pop_back();
			ans.pb(mp(x,y));
			b[2][(x+y)/2%4].pb((x+y)/2);
		}
		else if(b[2][2].size()>=2){
			ll x=b[2][2].back(); b[2][2].pop_back();
			ll y=b[2][2].back(); b[2][2].pop_back();
			ans.pb(mp(x,y));
			b[2][(x+y)/2%4].pb((x+y)/2);
		}
		else{
			ans.pb(mp(b[2][0][0],b[2][2][0]));
			break;
		}
	}
	for(auto r:ans) printf("%lld %lld\n",r.fi,r.se);
	return true;
}

bool solve2(){
	init();
	for(int i=1;i<=n;i++) b[2][a[i]%4].pb(a[i]);
	if(!b[2][1].size()&&!b[2][3].size()){
		for(int i=1;i<n;i++){
			if(b[2][0].size()>=2){
				ll x=b[2][0].back(); b[2][0].pop_back();
				ll y=b[2][0].back(); b[2][0].pop_back();
				printf("%lld %lld\n",x,y);
				b[2][(x+y)/2%4].pb((x+y)/2);
			}
			else if(b[2][2].size()>=2){
				ll x=b[2][2].back(); b[2][2].pop_back();
				ll y=b[2][2].back(); b[2][2].pop_back();
				printf("%lld %lld\n",x,y);
				b[2][(x+y)/2%4].pb((x+y)/2);
			}
			else printf("%lld %lld\n",b[2][0][0],b[2][2][0]);
		}
		return true;
	}
	if(!b[2][1].size()||!b[2][3].size()){
		int lst=b[2][1].size()?1:3;
		vector<pll> vec;
		for(int i=1;i<=n;i++) if(a[i]%2==0) vec.pb(mp(a[i],i));
		if(!vec.size()) goto here2;
		for(int i=2;i<=62;i++){
			vector<pll> tmp[2];
			for(auto r:vec){
				if(vis[r.se]) continue;
				tmp[(r.fi>>(i-1))&1].pb(r);
			}
			if(tmp[0].size()&&tmp[1].size()){
				if(i>2){
					vec.pb(merge(tmp[0][0],tmp[1][0]));
					i-=2;
				}
				else{
					while(1){
						if(tmp[0].size()>=2){
							pll x1=tmp[0].back(); tmp[0].pop_back();
							pll x2=tmp[0].back(); tmp[0].pop_back();
							pll y=tmp[1].back(); tmp[1].pop_back();
							if((x1.fi+y.fi)/2%4!=lst){
								merge(x1,y);
								break;
							}
							else if((x2.fi+y.fi)/2%4!=lst){
								merge(x2,y);
								break;
							}
							else{
								tmp[1].pb(y);
								tmp[0].pb(merge(x1,x2));
							}
						}
						else if(tmp[1].size()>=2){
							pll x1=tmp[1].back(); tmp[1].pop_back();
							pll x2=tmp[1].back(); tmp[1].pop_back();
							pll y=tmp[0].back(); tmp[0].pop_back();
							if((x1.fi+y.fi)/2%4!=lst){
								merge(x1,y);
								break;
							}
							else if((x2.fi+y.fi)/2%4!=lst){
								merge(x2,y);
								break;
							}
							else{
								tmp[0].pb(y);
								tmp[1].pb(merge(x1,x2));
							}
						}
						else{
							merge(tmp[0][0],tmp[1][0]);
							break;
						}
					}
					break;
				}
			}
			if(i==62) return false;
		}
	}
	here2:
	// cout<<"test ";
	// for(int i=1;i<=cnt;i++) if(!vis[i]) cout<<a[i]<<' ';
	// cout<<endl;
	int rt=0;
	for(int i=1;i<=cnt;i++) if(!vis[i]&&a[i]%2==0) rt=i;
	if(rt){
		for(int i=1;i<=cnt;i++) if(!vis[i]&&a[i]%2==0) c[a[i]%4].pb(mp(a[i],i));
		while(1){
			if(c[0].size()+c[2].size()<=1) break;
			if(c[0].size()>=2){
				pll x=c[0].back(); c[0].pop_back();
				pll y=c[0].back(); c[0].pop_back();
				c[(x.fi+y.fi)/2%4].pb(merge(x,y));
			}
			else if(c[2].size()>=2){
				pll x=c[2].back(); c[2].pop_back();
				pll y=c[2].back(); c[2].pop_back();
				c[(x.fi+y.fi)/2%4].pb(merge(x,y));
			}
			else{
				merge(c[0][0],c[2][0]);
				break;
			}
		}
	}
	rt=0;
	for(int i=1;i<=cnt;i++) if(!vis[i]&&a[i]%2==0) rt=i;
	if(rt){
		for(int i=0;i<4;i++) c[i].clear();
		for(int i=1;i<=cnt;i++){
			if(vis[i]) continue;
			c[a[i]%4].pb(mp(a[i],i));
		}
		int lst=c[0].size()?0:2;
		pll fin=mp(0,0),ed=mp(0,0);
		while(1){
			if(c[1].size()>=2){
				pll x1=c[1].back(); c[1].pop_back();
				pll x2=c[1].back(); c[1].pop_back();
				pll y=c[3].back(); c[3].pop_back();
				if((x1.fi+y.fi)/2%4!=lst){
					fin=merge(x1,y);
					break;
				}
				else if((x2.fi+y.fi)/2%4!=lst){
					fin=merge(x2,y);
					break;
				}
				else{
					c[3].pb(y);
					c[1].pb(merge(x1,x2));
				}
			}
			else if(c[3].size()>=2){
				pll x1=c[3].back(); c[3].pop_back();
				pll x2=c[3].back(); c[3].pop_back();
				pll y=c[1].back(); c[1].pop_back();
				if((x1.fi+y.fi)/2%4!=lst){
					fin=merge(x1,y);
					break;
				}
				else if((x2.fi+y.fi)/2%4!=lst){
					fin=merge(x2,y);
					break;
				}
				else{
					c[1].pb(y);
					c[3].pb(merge(x1,x2));
				}
			}
			else{
				ed=merge(c[1][0],c[3][0]);
				break;
			}
		}
		if(fin.se){
			if(c[0].size()) merge(c[0][0],fin);
			else merge(c[2][0],fin);
		}
		else{
			if(c[0].size()) merge(c[0][0],ed);
			else merge(c[2][0],ed);
		}
	}
	b[2][1].clear(),b[2][3].clear();
	for(int i=1;i<=cnt;i++){
		if(vis[i]) continue;
		b[2][a[i]%4].pb(a[i]);
	}
	// cout<<"test ";
	// for(int i=1;i<=cnt;i++) if(!vis[i]) cout<<a[i]<<' ';
	// cout<<endl;
	while(1){
		if(b[2][1].size()+b[2][3].size()<=1) break;
		if(b[2][1].size()>=2){
			ll x=b[2][1].back(); b[2][1].pop_back();
			ll y=b[2][1].back(); b[2][1].pop_back();
			ans.pb(mp(x,y));
			b[2][(x+y)/2%4].pb((x+y)/2);
		}
		else if(b[2][3].size()>=2){
			ll x=b[2][3].back(); b[2][3].pop_back();
			ll y=b[2][3].back(); b[2][3].pop_back();
			ans.pb(mp(x,y));
			b[2][(x+y)/2%4].pb((x+y)/2);
		}
		else{
			ans.pb(mp(b[2][1][0],b[2][3][0]));
			break;
		}
	}
	for(auto r:ans) printf("%lld %lld\n",r.fi,r.se);
	return true;
}

int main(){
	int T=readint();
	while(T--){
		n=readint();
		for(int i=1;i<=n;i++) a[i]=readint();
		if(!solve1()){
			// cout<<"test "<<endl;
			if(!solve2()) printf("-1\n");
		}
	}
	return 0;
}
Source code, Language: C++14

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 9
Accepted

Test #1:

score: 9
Accepted
time: 3ms
memory: 11316kb

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
230505279594622109 148399819461615003
189452549528118556 804173775829453588
496813162678786072 445068618251612752
470940890465199412 209088712310207988
115754892157516718 5319107658168021...

result:

ok correct (99 test cases)

Test #2:

score: 0
Accepted
time: 0ms
memory: 11912kb

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
962072443749424073 106161059262489233
327977047389442178 442437950417792236
534116751505956653 385207498903617207
459662125204786930 415343718607892434
845051373320458660 18320355020921218...

result:

ok correct (94 test cases)

Test #3:

score: 0
Accepted
time: 0ms
memory: 10412kb

input:

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

output:

117812034990980493 500497313856354147
287668656568989067 992926089095812859
592566222682195905 640297372832400963
616431797757298434 851047547791588090
309154674423667320 733739672774443262
131591678779711861 952584027249447301
738445394838743009 422579495815431679
580512445327087344 804094328392164...

result:

ok correct (100 test cases)

Test #4:

score: 0
Accepted
time: 0ms
memory: 11488kb

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

result:

ok correct (100 test cases)

Test #5:

score: 0
Accepted
time: 2ms
memory: 11284kb

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

result:

ok correct (94 test cases)

Test #6:

score: 0
Accepted
time: 0ms
memory: 11552kb

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

result:

ok correct (100 test cases)

Test #7:

score: 0
Accepted
time: 0ms
memory: 11892kb

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:

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

result:

ok correct (99 test cases)

Test #8:

score: 0
Accepted
time: 0ms
memory: 11948kb

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:

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

result:

ok correct (93 test cases)

Test #9:

score: 0
Accepted
time: 3ms
memory: 11752kb

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:

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

result:

ok correct (100 test cases)

Test #10:

score: 0
Accepted
time: 0ms
memory: 11880kb

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: 3ms
memory: 11248kb

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: 0
Accepted
time: 0ms
memory: 11452kb

input:

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

output:

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

result:

ok correct (100 test cases)

Test #13:

score: 0
Accepted
time: 3ms
memory: 12444kb

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
500327699207606141 692788729104366951
596558214155986546 559737192409772678
489134244464820638 893322664971323518
691228454718072078 398511528472082...

result:

ok correct (100 test cases)

Test #14:

score: 0
Accepted
time: 3ms
memory: 12380kb

input:

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

output:

88863843597158046 950122471548607422
519493157572882734 265724776830453214
392608967201667974 192629087498442078
292619027350055026 714426339203311198
503522683276683112 948564805318863646
520578369613131745 726043744297773379
202419714899120006 205975292586876774
145671480839848358 2041975037429983...

result:

ok correct (100 test cases)

Test #15:

score: 0
Accepted
time: 3ms
memory: 11768kb

input:

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

output:

918394802304294481 456873078421784369
687633940363039425 630970289930190705
907221660666961905 659302115146615065
444595055227052593 783261887906788485
562141050125551985 613928471566920539
588034760846236262 554325256470531726
666700133887673307 676437315778672187
671568724833172747 750499716656298...

result:

ok correct (100 test cases)

Subtask #2:

score: 23
Accepted

Test #16:

score: 23
Accepted
time: 0ms
memory: 11268kb

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

result:

ok correct (100 test cases)

Test #17:

score: 0
Accepted
time: 2ms
memory: 11492kb

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

result:

ok correct (94 test cases)

Test #18:

score: 0
Accepted
time: 2ms
memory: 10988kb

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

result:

ok correct (100 test cases)

Test #19:

score: 0
Accepted
time: 2ms
memory: 11928kb

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:

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

result:

ok correct (99 test cases)

Test #20:

score: 0
Accepted
time: 0ms
memory: 11316kb

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:

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

result:

ok correct (93 test cases)

Test #21:

score: 0
Accepted
time: 0ms
memory: 11232kb

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:

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

result:

ok correct (100 test cases)

Test #22:

score: 0
Accepted
time: 0ms
memory: 11288kb

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:

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

result:

ok correct (94 test cases)

Test #23:

score: 0
Accepted
time: 2ms
memory: 12516kb

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:

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

result:

ok correct (100 test cases)

Test #24:

score: 0
Accepted
time: 2ms
memory: 11856kb

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:

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

result:

ok correct (100 test cases)

Test #25:

score: 0
Accepted
time: 0ms
memory: 11956kb

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:

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

result:

ok correct (100 test cases)

Test #26:

score: 0
Accepted
time: 0ms
memory: 10564kb

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:

1 1
1 9
5 1
5 1
5 9
5 5
5 5
5 1
1 9
5 9
9 9
9 9
9 5
7 7
7 3
5 9
7 7
7 3
3 3
3 7
5 5
3 7
5 5
3 3
3 7
5 5
7 3
5 5
3 3
3 7
5 5
3 3
5 3
4 4
4 4
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 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...

result:

ok correct (100 test cases)

Test #27:

score: 0
Accepted
time: 0ms
memory: 11820kb

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:

1 5
5 1
9 1
5 5
5 9
1 9
5 9
1 1
1 9
5 9
5 5
7 7
7 7
7 3
5 5
3 7
5 5
7 3
5 5
3 7
5 5
3 7
5 5
7 7
5 7
8 0
4 0
4 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
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
1 5
1 1
1 5
5 5
5 1
9 1
5 9
9 1
5 ...

result:

ok correct (100 test cases)

Test #28:

score: 0
Accepted
time: 109ms
memory: 38176kb

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:

5 5
5 1
1 9
5 9
5 1
9 9
9 1
5 5
5 5
5 1
9 5
9 1
5 5
5 5
5 9
5 9
9 1
5 5
5 5
5 9
9 9
9 9
9 5
1 9
5 9
9 5
1 1
1 9
5 1
5 9
9 5
5 5
5 9
5 5
5 1
9 1
5 5
5 9
9 9
9 5
9 5
5 1
9 5
1 5
9 5
5 9
9 1
5 5
5 9
1 1
1 1
1 1
1 5
5 1
1 1
1 1
1 5
5 5
5 9
1 9
5 5
5 9
5 9
1 5
1 9
5 1
1 1
1 9
5 1
1 9
5 1
9 9
9 5
9 1
5 1
...

result:

ok correct (100 test cases)

Test #29:

score: 0
Accepted
time: 102ms
memory: 27296kb

input:

100
112302
1 0 4 4 3 5 5 3 0 10 7 7 3 0 1 7 0 4 5 3 2 1 10 2 4 3 1 1 1 5 0 3 1 6 6 0 7 3 3 7 5 1 7 4 3 4 8 4 10 4 2 2 10 0 4 3 1 8 2 10 4 7 1 1 2 0 4 10 10 8 2 6 3 3 4 1 2 8 3 3 10 8 2 8 8 9 3 1 3 1 3 7 7 10 0 9 8 1 0 1 3 0 3 1 10 4 5 10 5 0 10 8 5 5 5 7 6 10 8 8 2 6 9 4 7 4 9 4 1 1 8 6 5 6 8 0 0 9 ...

output:

1 5
9 9
9 5
5 5
5 1
1 9
5 1
9 5
1 5
1 5
1 1
1 1
1 1
1 1
1 9
5 5
5 9
9 9
9 5
9 5
1 9
5 9
9 1
5 9
9 5
5 9
5 5
5 5
5 1
1 5
1 5
1 9
5 9
1 1
1 1
1 9
5 1
1 1
1 1
1 9
5 9
1 9
5 9
1 5
1 5
9 1
5 9
9 1
5 9
9 5
5 1
9 9
9 9
9 5
9 9
9 1
5 5
5 5
5 1
9 5
9 5
1 9
5 9
5 9
9 9
9 1
5 9
9 1
5 1
1 1
1 5
1 5
9 9
9 5
5 5
...

result:

ok correct (100 test cases)

Test #30:

score: 0
Accepted
time: 116ms
memory: 39432kb

input:

100
471176
2 5 6 6 2 3 7 4 7 1 2 0 1 7 2 4 10 2 4 9 0 4 0 10 1 1 2 5 7 3 4 10 5 0 10 0 6 7 3 8 7 5 10 10 1 6 10 6 2 2 5 5 8 2 4 6 5 8 0 2 0 3 10 6 0 8 10 8 5 5 0 10 2 1 1 1 6 10 9 1 10 3 10 0 7 1 8 8 5 4 9 4 0 2 5 6 5 5 2 3 3 1 5 5 4 6 5 5 8 10 1 8 8 10 1 4 9 3 4 10 4 7 7 9 3 2 8 10 2 3 9 3 5 3 8 6 ...

output:

5 1
1 9
5 1
1 5
5 5
5 9
5 9
1 9
5 1
9 5
5 1
9 9
9 9
9 1
5 1
5 5
5 9
1 9
5 5
5 9
1 1
1 1
1 9
5 1
5 9
1 1
1 9
5 5
5 1
9 9
9 9
9 9
9 9
9 9
9 1
5 9
9 1
5 1
1 9
5 1
9 1
5 9
9 5
9 5
1 9
5 1
5 5
5 1
5 5
5 5
5 1
5 5
5 9
9 5
9 1
5 9
9 9
9 1
5 5
5 1
5 9
5 9
1 5
5 5
5 5
5 1
1 9
5 1
9 9
9 5
9 5
5 9
5 5
5 9
5 5
...

result:

ok correct (100 test cases)

Test #31:

score: 0
Accepted
time: 77ms
memory: 12000kb

input:

100
19254
4 0 1 5 2 0 8 3 6 4 5 10 7 0 5 5 9 7 4 6 1 0 2 0 3 8 6 5 8 0 1 0 2 1 9 2 5 8 7 8 5 3 4 3 7 4 6 10 5 0 5 6 4 6 8 4 6 0 4 2 0 4 6 9 9 6 5 9 4 8 6 2 9 7 1 8 1 6 1 6 1 6 2 2 7 2 3 3 5 8 5 9 4 6 6 6 8 10 6 3 6 1 2 4 2 10 1 9 8 9 8 8 9 8 1 6 4 8 5 8 4 2 8 9 10 5 7 2 6 4 5 2 4 7 9 5 1 0 8 1 1 4 1...

output:

1 9
5 9
1 1
1 9
5 5
5 9
5 1
5 1
1 5
1 1
1 9
5 9
9 9
9 5
5 1
1 5
9 1
5 5
5 5
5 5
5 9
5 5
5 9
1 5
1 9
5 9
9 9
9 1
5 5
5 1
5 9
5 5
5 5
5 5
5 9
5 1
9 9
9 5
5 5
5 5
5 5
5 1
1 9
5 9
9 5
9 9
9 9
9 9
9 1
5 9
9 9
9 5
1 1
1 9
5 1
5 9
5 1
1 1
1 9
5 1
5 5
5 9
1 5
1 9
5 9
1 1
1 1
1 5
1 9
5 9
9 1
5 1
1 9
5 5
5 9
...

result:

ok correct (100 test cases)

Test #32:

score: 0
Accepted
time: 88ms
memory: 12080kb

input:

100
10002
3 9 6 8 1 9 5 10 5 10 1 5 9 9 7 1 4 7 10 5 6 7 4 2 2 9 0 6 10 9 0 10 1 9 2 7 4 9 3 10 9 10 10 6 6 5 9 6 8 6 2 7 1 1 1 1 7 2 3 6 2 4 2 4 10 7 0 4 9 6 2 9 1 10 5 8 2 6 4 5 5 2 7 3 0 8 10 5 1 2 3 2 10 4 10 0 1 8 9 1 4 0 3 2 0 8 10 2 7 10 0 4 3 3 6 3 5 10 0 5 0 0 2 2 10 10 7 8 10 9 2 10 0 4 5 ...

output:

5 9
9 1
5 9
5 9
1 1
1 1
1 5
5 5
5 9
5 1
5 5
5 9
1 1
1 9
5 5
5 5
5 5
5 1
9 9
9 5
1 1
1 1
1 5
5 9
1 1
1 9
5 9
9 9
9 9
9 1
5 1
9 9
9 1
5 1
9 9
9 9
9 5
9 1
5 9
1 1
1 9
5 1
5 1
5 5
5 5
5 5
5 5
5 1
1 1
1 9
5 9
1 5
9 5
9 5
5 5
5 5
5 9
1 1
1 9
5 9
9 1
5 9
9 5
9 1
5 5
5 1
5 5
5 5
5 9
5 1
9 9
9 5
5 1
9 1
5 1
...

result:

ok correct (100 test cases)

Test #33:

score: 0
Accepted
time: 88ms
memory: 12216kb

input:

100
8848
9 0 3 7 6 4 9 5 4 5 8 1 10 8 10 10 1 5 4 5 1 10 1 1 2 5 0 6 4 10 3 2 8 7 4 6 10 10 4 1 6 0 5 3 3 6 1 9 0 6 2 1 2 8 2 3 8 2 0 10 9 9 8 8 6 5 7 10 7 10 9 4 1 6 2 0 3 4 1 6 3 1 8 4 8 3 6 7 4 7 8 4 6 9 3 1 7 4 9 9 1 10 1 1 2 4 0 8 4 10 5 6 1 7 9 5 2 10 10 4 8 9 7 8 0 8 4 1 10 3 8 4 7 7 0 3 4 5 ...

output:

5 1
1 5
5 9
1 5
5 9
1 5
5 9
9 5
5 9
1 5
9 1
5 5
5 1
5 9
1 1
1 9
5 9
5 9
5 1
9 1
5 9
9 5
9 5
9 1
5 9
9 1
5 1
1 9
5 9
1 9
5 5
5 1
1 9
5 5
5 1
9 9
9 5
5 5
5 5
5 1
5 9
1 9
5 9
5 1
5 9
1 5
9 5
5 5
5 1
9 9
9 5
1 1
1 5
5 9
9 1
5 9
9 1
5 9
1 1
1 5
1 5
9 9
9 9
9 1
5 1
9 5
9 9
9 5
9 1
5 5
5 9
5 5
5 5
5 5
5 5
...

result:

ok correct (100 test cases)

Subtask #3:

score: 16
Accepted

Test #34:

score: 16
Accepted
time: 107ms
memory: 10608kb

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: 102ms
memory: 10972kb

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: 98ms
memory: 11344kb

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: 120ms
memory: 12504kb

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: 142ms
memory: 10856kb

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: 129ms
memory: 11124kb

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: 122ms
memory: 12348kb

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: 141ms
memory: 12172kb

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: 139ms
memory: 12372kb

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: 167ms
memory: 27308kb

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: 177ms
memory: 26796kb

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: 166ms
memory: 25000kb

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: 52
Accepted

Test #46:

score: 52
Accepted
time: 188ms
memory: 32284kb

input:

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

output:

591082823267833997 750673279799819289
749387671911821385 187498294172452641
468442983042137013 879124196035748105
426735945178329817 352902446225784261
214601964646700029 915796992992417549
565199478819558789 698044824174526233
707988272077429753 702915390242122313
705451831159776033 602615437195119...

result:

ok correct (100 test cases)

Test #47:

score: 0
Accepted
time: 171ms
memory: 32380kb

input:

100
370255
32123537214468981 350412204946624705 402282150635760683 248912430361225231 814736352355688646 993128811372128790 305317864278631485 66833495387076887 496823364648202292 264249740623008900 93622460733892150 517687340999728245 175953208796215136 463180247813587246 70314179322549593 14399267...

output:

970842613343524693 48531827315347905
469007650980518041 439594374686873561
454301012833695801 374583180170032105
414442096501863953 381757964319653953
398100030410758953 938025222610473989
503936860077408681 985835875938808937
744886368008108809 685596430412575153
715241399210341981 5983924244714555...

result:

ok correct (100 test cases)

Test #48:

score: 0
Accepted
time: 187ms
memory: 32332kb

input:

100
118972
792375453970645873 576892825324240408 748164844574876655 32445009242823206 772953447561904131 633394009050854551 73696656498092749 870080114842373195 702953534252556424 528688137119642251 451634665273988550 195243066602861962 87567025505658553 138064336792733795 933007798725485674 3381824...

output:

195769321662611381 763762975406328381
479766148534469881 395034280771938833
437400214653204357 264691175946603165
351045695299903761 894767796982740237
78945070108303093 776684438414055233
368253217884611377 285697547383077869
178794384406596849 503497992598620705
341146188502608777 2602370336532071...

result:

ok correct (100 test cases)

Test #49:

score: 0
Accepted
time: 169ms
memory: 11916kb

input:

100000
9
445759869974051228 776915644420529579 55748031156491160 547224621619359770 889968101069780792 938247829722065514 237508986668564632 706265918966029229 370065298249404353
3
760967737555474154 295101678372866180 641208729681524189
2
127843418996257285 904661771444761027
10
636895207833865394 ...

output:

370065298249404353 706265918966029229
538165608607716791 776915644420529579
237508986668564632 889968101069780792
563738543869172712 55748031156491160
445759869974051228 938247829722065514
657540626514123185 692003849848058371
674772238181090778 547224621619359770
309743287512831936 6109984299002252...

result:

ok correct (100000 test cases)

Test #50:

score: 0
Accepted
time: 153ms
memory: 11224kb

input:

100000
8
343388323688032173 550415463920114678 251670338444943060 256689393391056345 404385021375903958 995166243471920543 860903431533146385 67846695682036204
9
998023313833514208 860774593562919489 9332807977672245 148025467890922435 465470929629928703 378159063682848693 997866453726546368 7830082...

output:

860903431533146385 256689393391056345
558796412462101365 343388323688032173
451092368075066769 995166243471920543
723129305773493656 67846695682036204
395488000727764930 404385021375903958
399936511051834444 251670338444943060
325803424748388752 550415463920114678
378159063682848693 9332807977672245...

result:

ok correct (100000 test cases)

Test #51:

score: 0
Accepted
time: 150ms
memory: 11092kb

input:

100000
7
840717540090533292 617702668150315569 47258224049727997 366453403548007339 518467519998458465 192985721717665988 484262692025639304
5
307077794910431698 464754790294255410 513802193636240811 582627687640822775 654807022802006442
8
146983991099455155 150409570353559663 311654808558245385 395...

output:

518467519998458465 366453403548007339
47258224049727997 617702668150315569
192985721717665988 442460461773232902
332480446100021783 317723091745449445
484262692025639304 840717540090533292
662490116058086298 325101768922735614
-1
286890081457737313 311654808558245385
545782207728858291 1504095703535...

result:

ok correct (100000 test cases)

Test #52:

score: 0
Accepted
time: 358ms
memory: 11276kb

input:

10000
57
720575940379312015 72057594037960591 576460752303456143 288230376151744399 504403158265528207 32655 72057594037960591 504403158265528207 720575940379312015 144115188075888527 576460752303456143 288230376151744399 288230376151744399 576460752303456143 32655 288230376151744399 32655 720575940...

output:

720575940379312015 180143985094852495
72057594037960591 450359962737082255
576460752303456143 261208778387521423
288230376151744399 418834765345488783
504403158265528207 353532570748616591
32655 428967864507072399
72057594037960591 214483932253552527
504403158265528207 143270763145756559
72057594037...

result:

ok correct (10000 test cases)

Test #53:

score: 0
Accepted
time: 370ms
memory: 10620kb

input:

10000
56
504403158265510643 792633534417222387 828662331436186355 72057594037943027 720575940379294451 644888515994237754 684547143360330483 15091 108086391056906995 72057594037943027 252201579132762867 432345564227582707 756604737398258419 396316767208618739 36028797018979059 828662331436186355 396...

output:

504403158265510643 846676729945668339
792633534417222387 675539944105589491
828662331436186355 734086739261405939
72057594037943027 781374535348796147
720575940379294451 426716064693369587
684547143360330483 573646002536332019
15091 629096572948331251
108086391056906995 314548286474173171
7205759403...

result:

ok correct (10000 test cases)

Test #54:

score: 0
Accepted
time: 368ms
memory: 10908kb

input:

10000
58
432345564227618971 51355 51355 432345564227618971 72057594037979291 288230376151763099 432345564227618971 51355 288230376151763099 144115188075907227 144115188075907227 51355 432345564227618971 144115188075907227 432345564227618971 432345564227618971 288230376151763099 288230376151763099 28...

output:

432345564227618971 72057594037979291
51355 252201579132799131
51355 126100789566425243
432345564227618971 63050394783238299
288230376151763099 247697979505428635
432345564227618971 267964177828595867
51355 350154871028107419
288230376151763099 175077435514079387
144115188075907227 231653905832921243...

result:

ok correct (10000 test cases)

Extra Test:

score: 0
Extra Test Passed
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Server Time: 2024-11-30 18:43:21 | OpenSource Project