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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#401716#6667. ProsjekKevin53070 0ms0kbC++233.8kb2024-04-29 10:56:472024-04-29 10:56:48

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  • [2024-04-29 10:56:48]
  • 评测
  • 测评结果:0
  • 用时:0ms
  • 内存:0kb
  • [2024-04-29 10:56:47]
  • 提交

answer

//Author: Kevin
#include<bits/stdc++.h>
//#pragma GCC optimize("O2")
using namespace std;
#define ll long long
#define ull unsigned ll
#define pb emplace_back
#define mp make_pair
#define ALL(x) (x).begin(),(x).end()
#define rALL(x) (x).rbegin(),(x).rend()
#define srt(x) sort(ALL(x))
#define rev(x) reverse(ALL(x))
#define rsrt(x) sort(rALL(x))
#define sz(x) (int)(x.size())
#define inf 0x3f3f3f3f
#define pii pair<int,int>
#define lb(v,x) (int)(lower_bound(ALL(v),x)-v.begin())
#define ub(v,x) (int)(upper_bound(ALL(v),x)-v.begin())
#define uni(v) v.resize(unique(ALL(v))-v.begin())
#define longer __int128_t
void die(string S){puts(S.c_str());exit(0);}
mt19937_64 rnd(20210448);
vector<pair<ll,ll>> op;
bool dfs(vector<ll> vec)
{
	if(sz(vec)==1) return true;
	for(int i=0;i<sz(vec);i++)
		for(int j=i+1;j<sz(vec);j++) if((vec[i]^vec[j]^1)&1)
		{
			op.pb(vec[i],vec[j]);
			vector<ll> vec2;
			for(int k=0;k<sz(vec);k++)
				if(i!=k&&j!=k)
					vec2.pb(vec[k]);
			vec2.pb(vec[i]+vec[j]>>1);
			if(dfs(vec2)) return true;
			op.pop_back();
		}
	return false;
}
void brute_force(vector<ll> vec)
{
	assert(dfs(vec));
}
int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	int t;
	cin>>t;
	while(t--)
	{
		op.clear();
		int n;
		cin>>n;
		vector<ll> vec;
		multiset<ll> ms[4];
		for(int i=0;i<n;i++)
		{
			ll x;
			cin>>x;
			vec.pb(x);
			ms[x&3].insert(x);
		}
		while(true)
		{
			if(sz(ms[0])&&sz(ms[2])) break;
			if(sz(ms[1])&&sz(ms[3])) break;
			int x=rnd()%4;
			if(sz(ms[0])<2&&sz(ms[1])<2&&sz(ms[2])<2&&sz(ms[3])<2) break;
			while(sz(ms[x])<2) x=rnd()%4;
			ll val=rnd()%(*ms[x].rbegin());
			ll A=*ms[x].upper_bound(val);
			val=rnd()%(*ms[x].rbegin());
			ll B=*ms[x].upper_bound(val);
			ms[x].erase(ms[x].lower_bound(A));
			ms[x].erase(ms[x].lower_bound(B));
			op.pb(A,B);
			ll C=A+B>>1;
			ms[C&3].insert(C);
		}
		if(sz(ms[0])&&sz(ms[2]))
		{
			vector<ll> vec;
			vec.pb(*ms[0].begin());
			vec.pb(*ms[2].begin());
			ms[0].erase(ms[0].begin());
			ms[2].erase(ms[2].begin());
			multiset<ll> ms2[2];
			for(int i=0;i<4;i++)
				for(auto x:ms[i])
					ms2[i&1].insert(x);
			while(sz(ms2[0])>1||sz(ms2[1])>1)
			{
				if(sz(ms2[0])>1)
				{
					ll A=*ms2[0].begin();
					ll B=*ms2[0].rbegin();
					ms2[0].erase(ms2[0].lower_bound(A));
					ms2[0].erase(ms2[0].lower_bound(B));
					ll C=A+B>>1;
					op.pb(A,B);
					ms2[C&1].insert(C);
				}
				else
				{
					ll A=*ms2[1].begin();
					ll B=*ms2[1].rbegin();
					ms2[1].erase(ms2[1].lower_bound(A));
					ms2[1].erase(ms2[1].lower_bound(B));
					ll C=A+B>>1;
					op.pb(A,B);
					ms2[C&1].insert(C);
				}
			}
			for(int i=0;i<2;i++)
				for(auto x:ms2[i])
					vec.pb(x);
			brute_force(vec);
		}
		else if(sz(ms[1])&&sz(ms[3]))
		{
			vector<ll> vec;
			vec.pb(*ms[1].begin());
			vec.pb(*ms[3].begin());
			ms[1].erase(ms[1].begin());
			ms[3].erase(ms[3].begin());
			multiset<ll> ms2[2];
			for(int i=0;i<4;i++)
				for(auto x:ms[i])
					ms2[i&1].insert(x);
			while(sz(ms2[0])>1||sz(ms2[1])>1)
			{
				if(sz(ms2[0])>1)
				{
					ll A=*ms2[0].begin();
					ll B=*ms2[0].rbegin();
					ms2[0].erase(ms2[0].lower_bound(A));
					ms2[0].erase(ms2[0].lower_bound(B));
					ll C=A+B>>1;
					op.pb(A,B);
					ms2[C&1].insert(C);
				}
				else
				{
					ll A=*ms2[1].begin();
					ll B=*ms2[1].rbegin();
					ms2[1].erase(ms2[1].lower_bound(A));
					ms2[1].erase(ms2[1].lower_bound(B));
					ll C=A+B>>1;
					op.pb(A,B);
					ms2[C&1].insert(C);
				}
			}
			for(int i=0;i<2;i++)
				for(auto x:ms2[i])
					vec.pb(x);
			brute_force(vec);
		}
		if(sz(op)!=n-1)
			cout<<-1<<'\n';
		else for(auto pr:op)
			cout<<pr.first<<" "<<pr.second<<'\n';
	}
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 0
Runtime Error

Test #1:

score: 0
Runtime Error

input:

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

output:


result:


Subtask #2:

score: 0
Runtime Error

Test #16:

score: 0
Runtime Error

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:


result:


Subtask #3:

score: 0
Runtime Error

Test #34:

score: 0
Runtime Error

input:

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

output:


result:


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:

31085673180124 999989589595986634
33205888651982 999967720480985884
34309878991530 999926091055107568
36334989799378 999921514477613516
43680954048084 999893240413030728
44955319228942 999830205792296778
46096509730566 999828945334385854
46513046285636 999827896360143458
50005704499586 9998174126302...

result: