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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#186339#6667. ProsjekCyanmond16 1067ms34660kbC++177.0kb2023-09-23 17:29:292023-09-23 17:29:30

Judging History

你现在查看的是最新测评结果

  • [2023-09-23 17:29:30]
  • 评测
  • 测评结果:16
  • 用时:1067ms
  • 内存:34660kb
  • [2023-09-23 17:29:29]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

#define rep(i, l, r) for (int i = (l); i < (r); ++i)
#define per(i, l, r) for (int i = (r - 1); i >= l; --i)
#define ALL(x) (x).begin(), (x).end()

using i64 = long long;

vector<pair<i64, i64>> main_(vector<i64> A) {
    const int N = (int)A.size();
    array<vector<i64>, 8> B;
    mt19937 mt(2);
    rep(i, 0, N) {
        B[A[i] % 8].push_back(A[i]);
    }

    auto judge = [&]() {
        auto C = B;
        i64 sum = C[1].size() + C[3].size() + C[5].size() + C[7].size();

        auto take = [&](int a) {
            for (int i = 1; i <= 7; i += 2) {
                if (a < C[i].size()) {
                    const auto x = C[i].back();
                    C[i].pop_back();
                    return x;
                } else {
                    a -= C[i].size();
                }
            }
            return -1ll;
        };

        vector<pair<i64, i64>> res;

        while (sum >= 2) {
            uniform_int_distribution<int> dist(0, sum - 1);
            i64 a = take(dist(mt));
            --sum;
            dist = uniform_int_distribution<int>(0, sum - 1);
            i64 b = take(dist(mt));
            --sum;
            C[(a + b) / 2 % 8].push_back((a + b) / 2);
            if ((a + b) / 2 % 2 == 1) ++sum;
            res.push_back({a, b});
        }

        bool isOk = false;
        if (sum == 0) isOk = true;
        else if (C[0].size() + C[2].size() + C[4].size() + C[6].size() == 0) isOk = true;
        if (not isOk) {
            rep(a1, 0, 8) rep(b1, 0, 8) {
                if ((a1 + b1) % 2 == 1) continue;
                if (isOk) break;
                if (C[a1].empty()) break;
                i64 x1 = C[a1].back();
                C[a1].pop_back();
                if (C[b1].empty()) {
                    C[a1].push_back(x1);
                    continue;
                }
                i64 y1 = C[b1].back();
                C[b1].pop_back();
                C[(x1 + y1) / 2 % 8].push_back((x1 + y1) / 2);
                res.push_back({x1, y1});
                if (C[1].size() + C[3].size() + C[5].size() + C[7].size() == 0) {
                    isOk = true;
                    break;
                } else if (C[1].size() + C[3].size() + C[5].size() + C[7].size() == 1 and C[0].size() + C[2].size() + C[4].size() + C[6].size() == 0) {
                    isOk = true;
                    break;
                }
                rep(a2, 0, 8) rep(b2, 0, 8) {
                    if ((a2 + b2) % 2 == 1) continue;
                    if (isOk) break;
                    if (C[a2].empty()) break;
                    i64 x2 = C[a2].back();
                    C[a2].pop_back();
                    if (C[b2].empty()) {
                        C[a2].push_back(x2);
                        continue;
                    }
                    i64 y2 = C[b2].back();
                    C[b2].pop_back();
                    C[(x2 + y2) / 2 % 8].push_back((x2 + y2) / 2);
                    res.push_back({x2, y2});
                    if (C[1].size() + C[3].size() + C[5].size() + C[7].size() == 0) {
                        isOk = true;
                        break;
                    } else if (C[1].size() + C[3].size() + C[5].size() + C[7].size() == 1 and C[0].size() + C[2].size() + C[4].size() + C[6].size() == 0) {
                        isOk = true;
                        break;
                    }
                    rep(a3, 0, 8) rep(b3, 0, 8) {
                        if ((a3 + b3) % 2 == 1) continue;
                        if (isOk) break;
                        if (C[a3].empty()) break;
                        i64 x3 = C[a3].back();
                        C[a3].pop_back();
                        if (C[b3].empty()) {
                            C[a3].push_back(x3);
                            continue;
                        }
                        i64 y3 = C[b3].back();
                        C[b3].pop_back();
                        C[(x3 + y3) / 2 % 8].push_back((x3 + y3) / 2);
                        res.push_back({x3, y3});
                        if (C[1].size() + C[3].size() + C[5].size() + C[7].size() == 0) {
                            isOk = true;
                            break;
                        } else if (C[1].size() + C[3].size() + C[5].size() + C[7].size() == 1 and C[0].size() + C[2].size() + C[4].size() + C[6].size() == 0) {
                            isOk = true;
                            break;
                        }
                        C[(x3 + y3) / 2 % 8].pop_back();
                        C[b3].push_back(y3);
                        C[a3].push_back(x3);
                        res.pop_back();
                    }
                    if (isOk) break;
                    C[(x2 + y2) / 2 % 8].pop_back();
                    C[b2].push_back(y2);
                    C[a2].push_back(x2);
                    res.pop_back();
                }
                if (isOk) break;
                C[(x1 + y1) / 2 % 8].pop_back();
                C[b1].push_back(y1);
                C[a1].push_back(x1);
                res.pop_back();
            }
        }
        if (not isOk) return vector<pair<i64, i64>>();
        vector<i64> x, y;
        copy(ALL(C[0]), back_inserter(x));
        copy(ALL(C[4]), back_inserter(x));
        copy(ALL(C[2]), back_inserter(y));
        copy(ALL(C[6]), back_inserter(y));
        while (x.size() >= 2 or y.size() >= 2) {
            while (x.size() >= 2) {
                i64 a = x[x.size() - 1], b = x[x.size() - 2];
                res.push_back({a, b});
                x.pop_back();
                x.pop_back();
                if ((a + b) / 2 % 4 == 0) x.push_back((a + b) / 2);
                else y.push_back((a + b) / 2);
            }
            while (y.size() >= 2) {
                i64 a = y[y.size() - 1], b = y[y.size() - 2];
                res.push_back({a, b});
                y.pop_back();
                y.pop_back();
                if ((a + b) / 2 % 4 == 0) x.push_back((a + b) / 2);
                else y.push_back((a + b) / 2);
            }
        }
        if (x.empty()) return res;
        if (y.empty()) return res;
        res.push_back({x[0], y[0]});
        return res;
    };

    int tests = 300;
    vector<pair<i64, i64>> ans;
    while (tests--) {
        for (auto &vec : B) {
            shuffle(ALL(vec), mt);
        }
        ans = judge();
        if (not ans.empty()) break;
    }
    return ans;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int T;
    cin >> T;
    while (T--) {
        int N;
        cin >> N;
        vector<i64> A(N);
        for (auto &e : A) cin >> e;
        const auto ans = main_(A);
        if (ans.empty()) cout << -1 << endl;
        else {
            for (const auto &[a, b] : ans) {
                cout << a << ' ' << b << '\n';
            }
            cout << flush;
        }
    }
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 0
Wrong Answer

Test #1:

score: 0
Wrong Answer
time: 2ms
memory: 3556kb

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
379543717053969117 883064254701115295
222072661880779376 631303985877542206
148399819461615003 230505279594622109
189452549528118556 209088712310207988
199270630919163272 804173775829453588
501722203374308430 53191076581680214
277456639977994322 11575489215751671...

result:

wrong answer you didn't find a solution but jury did (test case 36)

Subtask #2:

score: 0
Wrong Answer

Test #16:

score: 0
Wrong Answer
time: 2ms
memory: 3568kb

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

result:

wrong answer you didn't find a solution but jury did (test case 84)

Subtask #3:

score: 16
Accepted

Test #34:

score: 16
Accepted
time: 357ms
memory: 3856kb

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 457696478728961702
597630796847754190 128469521648960690
363050159248357440 466608494405055468
472135077337628566 425723088635325654
448929082986477110 658897822238868978
553913452612673044 622703684108675696
588308568360674370 399538027669313...

result:

ok correct (100000 test cases)

Test #35:

score: 0
Accepted
time: 332ms
memory: 3612kb

input:

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

output:

958712444844113692 341497234016264540
650104839430189116 143141501854884272
396623170642536694 132941437397264810
150311691204302148 923004266892618172
536657979048460160 930609521602302292
733633750325381226 15365813785503270
244405681344585926 213670074288711286
229037877816648606 8193355426014336...

result:

ok correct (100000 test cases)

Test #36:

score: 0
Accepted
time: 341ms
memory: 3852kb

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 690070772109811286
638096273971226110 561025252182682906
627239866615848210 54251562555326842
42470017740412280 340745714585587526
490057757292451598 348318035919019310
818062735467254804 419187896605735454
551686081736618768 19448823177424645...

result:

ok correct (100000 test cases)

Test #37:

score: 0
Accepted
time: 270ms
memory: 3856kb

input:

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

output:

264400470199418708 30435765695090076
147418117947254392 859039596531178468
375191889860000444 915405723947874872
571028682295683456 970453612553526824
770741147424605140 635574780184696680
703157963804650910 645298806903937658
503228857239216430 876314307095280030
689771582167248230 3511518972345566...

result:

ok correct (50000 test cases)

Test #38:

score: 0
Accepted
time: 297ms
memory: 3564kb

input:

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

output:

907522706303602556 998788559176849620
953155632740226088 280145788708142508
982990013470682716 801974222113409124
892482117792045920 56435783243285828
552932543009462260 197769932466201968
706594708190768848 213144199738872896
459869453964820872 679519095246181928
375351237737832114 4744589505176658...

result:

ok correct (50000 test cases)

Test #39:

score: 0
Accepted
time: 305ms
memory: 3624kb

input:

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

output:

995621599317911412 333427085181162020
664524342249536716 370865072857248388
517694707553392552 628044408557611320
572869558055501936 610878478005084624
591874018030293280 254414508714647088
423144263372470184 460491699469405256
441817981420937720 501496830456417768
471657405938677744 435000735991149...

result:

ok correct (50000 test cases)

Test #40:

score: 0
Accepted
time: 224ms
memory: 3552kb

input:

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

output:

456553328586506700 792774089369512740
624663708978009720 382124190056540228
671093790812801428 528408240467204940
599751015640003184 759546580482469476
946872198162810216 264865148139811024
605868673151310620 156080508230960224
610563120623014800 331430792491044112
380974590691135422 679648798061236...

result:

ok correct (30000 test cases)

Test #41:

score: 0
Accepted
time: 251ms
memory: 3560kb

input:

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

output:

41150834245659428 317895789993303868
179523312119481648 65220471583082028
713862378171374300 78106851365388652
395984614768381476 254391730000013712
684143755784659968 70058062306145696
377100909045402832 476075710640293640
426588309842848236 653316240753155704
73470169815090336 211707666543464912
1...

result:

ok correct (30000 test cases)

Test #42:

score: 0
Accepted
time: 246ms
memory: 3596kb

input:

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

output:

932151312699294980 938142428437837892
935146870568566436 425979517791387492
680563194179976964 184524967708115324
432544080944046144 183209892432401444
935240383379985812 72707763558771580
503974073469378696 770508119165800012
551775949854678384 88106760930326920
319941355392502652 20207200128819437...

result:

ok correct (30000 test cases)

Test #43:

score: 0
Accepted
time: 224ms
memory: 32448kb

input:

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

output:

667529245581767382 91449331639050678
379489288610409030 933273839493716350
656381564052062690 816434526896562886
413674454964717950 551749080749160542
482711767856939246 830215940262335174
656463854059637210 387340315863596014
363723895301748742 319929205560625206
341826550431186974 8041786916046072...

result:

ok correct (100 test cases)

Test #44:

score: 0
Accepted
time: 215ms
memory: 34660kb

input:

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

output:

227725809017750670 427137074521676854
327431441769713762 902743809567441702
547438198200370030 636928479910063734
592183339055216882 108714331054375454
272434368141878694 901052668496486110
586743518319182402 660695761059173694
291015320087537814 917698444936961014
604356882512249414 754670996161435...

result:

ok correct (100 test cases)

Test #45:

score: 0
Accepted
time: 229ms
memory: 29688kb

input:

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

output:

501941045515544126 816518356995004894
659229701255274510 278290369867603590
468760035561439050 246740031736605862
97902933358169534 246736653556685030
172319793457427282 925531605385054126
201800065341680214 556033049936759278
378916557639219746 544070850311879766
814261098826390702 9016488503859853...

result:

ok correct (100 test cases)

Subtask #4:

score: 0
Wrong Answer

Test #46:

score: 52
Accepted
time: 221ms
memory: 28620kb

input:

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

output:

707862794526955591 429421797234587871
308563080108389369 403857629002215165
356210354555302267 664068354742849857
204814494616704701 946522265177171359
15157359588539617 222883417258598503
480852233933155737 445356393344342509
3224598385743097 971313000289224199
892899809249644813 893479073796555789...

result:

ok correct (100 test cases)

Test #47:

score: 0
Accepted
time: 233ms
memory: 27752kb

input:

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

output:

27771488595209705 997223932341351703
857548581305980429 14422257808592211
174712259020897689 201159890883303915
861698943592473165 222367661579710763
492196303487216783 989682228203854963
891264584113333109 740939265845535873
200161032522798935 663701774870428455
816101924979434491 56120171356833216...

result:

ok correct (100 test cases)

Test #48:

score: 0
Accepted
time: 256ms
memory: 30368kb

input:

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

output:

52589890080598995 202535471184741325
948802035672705489 882621929878798157
939856851603786979 107440599870153113
915711982775751823 26988566869838949
959102024922552599 759973750558856201
865011516795850491 462225497555465821
538967359377911757 400431998416990039
935745907499136457 40229508773393653...

result:

ok correct (100 test cases)

Test #49:

score: -52
Wrong Answer
time: 1067ms
memory: 3820kb

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 55748031156491160
547224621619359770 445759869974051228
657540626514123185 496492245796705499
146628508912527896 889968101069780792
577016436155414342 938247829722065514
757632132938739928 5182983049911543...

result:

wrong answer you didn't find a solution but jury did (test case 169)