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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#120153#6194. Knapsack Problemhos_lyricAC ✓4ms3856kbC++147.7kb2023-07-06 14:16:452023-07-06 14:18:08

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-07-06 14:18:08]
  • 评测
  • 测评结果:AC
  • 用时:4ms
  • 内存:3856kb
  • [2023-07-06 14:16:45]
  • 提交

answer

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }


#define foreach(i, c) for (__typeof((c).begin()) i = (c).begin(); i != (c).end(); ++i)
using wint = Int;
struct Row { int j, p; wint v; };
struct Col { int i, p; };
struct Mat {
  vector<vector<Row>> rs;
  vector<vector<Col>> cs;
  void append(int i, int j, wint val) {
    if (i >= (int)rs.size()) rs.resize(i + 1);
    if (j >= (int)cs.size()) cs.resize(j + 1);
    if (val == 0) return;
    rs[i].push_back({j, (int)cs[j].size(), val});
    cs[j].push_back({i, (int)rs[i].size() - 1});
  }
  void remove(Row &r) {
    if (r.p + 1 < (int)cs[r.j].size()) { Col &c = cs[r.j].back(); cs[r.j][rs[c.i][c.p].p = r.p] = c; }
    cs[r.j].pop_back();
  }
  void remove(Col &c) {
    if (c.p + 1 < (int)rs[c.i].size()) { Row &r = rs[c.i].back(); rs[c.i][cs[r.j][r.p].p = c.p] = r; }
    rs[c.i].pop_back();
  }
  void remove(int i, int k) {
    Row r = rs[i][k]; remove(cs[r.j][r.p]); remove(r);
  }
  void clearRow(int i) {
    foreach (it, rs[i]) { remove(*it); } rs[i].clear();
  }
  void clearCol(int j) {
    foreach (it, cs[j]) { remove(*it); } cs[j].clear();
  }
  wint operator()(int i, int j) {
    foreach (it, rs[i]) { if (it->j == j) return it->v; } return 0;
  }
  wint operator()(Col &c) {
    return rs[c.i][c.p].v;
  }
};
struct Tab {
  Mat D;
  vector<int> id;
  vector<wint> tmp;
  Tab(Mat A, vector<wint> b, vector<wint> c) : id(b.size() + 1) {
    int m = b.size(), n = c.size();
    for (int i = 0; i < m; ++i) foreach (it, A.rs[i]) D.append(1 + i, 1 + it->j, it->v);
    for (int i = 0; i < m; ++i) D.append(1 + i, 0, b[i]);
    for (int j = 0; j < n; ++j) D.append(0, 1 + j, -c[j]);
    for (int i = 0; i <= m; ++i) { id[i] = 1 + n + i; D.append(i, 1 + n + i, 1); }
  }
  wint idv(int i) {
    return D(D.cs[id[i]][0]);
  }
  wint val(vector<wint> &x) {
    x.assign(id[0] - 1, 0);
    for (int i = 0; i < (int)id.size(); ++i) if (id[i] < id[0]) x[id[i] - 1] = D(i, 0) / idv(i);
    return D(0, 0) / idv(0);
  }
  void pivot(int r, int s) {
    if (tmp.size() < D.cs.size()) tmp.resize(D.cs.size(), 0);
    wint mul = (D(r, s) < 0) ? -1 : 1; foreach (it, D.rs[r]) tmp[it->j] = (it->v *= mul);
    vector<Col> cs = D.cs[s];
    foreach (it, cs) if (it->i != r) {
      wint d = D(*it), pv = tmp[s]; vector<Row> &rs = D.rs[it->i];
      for (int k = 0; k < (int)rs.size(); ++k) {
        rs[k].v = rs[k].v * pv - tmp[rs[k].j] * d; tmp[rs[k].j] = 0;
        if (rs[k].v == 0) D.remove(it->i, k--);
      }
      foreach (jt, D.rs[r]) {
        if (tmp[jt->j] == 0) tmp[jt->j] = jt->v; else D.append(it->i, jt->j, -jt->v * d);
      }
      wint g = 0; foreach (jt, rs) g = __gcd(jt->v, g); if (g < 0) g = -g;
      foreach (jt, rs) jt->v /= g;
    }
    foreach (it, D.rs[r]) { tmp[it->j] = 0; } id[r] = s;
  }
  void simplex() {
    for (int i = 1; i < (int)id.size(); ++i) if (D.rs[i].size() > 1) {
      bool ok = 1;
      foreach (it, D.rs[i]) if (it->j == 0 || it->v < 0) ok = 0;
      if (ok) { vector<Row> rs = D.rs[i]; foreach (it, rs) if (it->j != id[i]) D.clearCol(it->j); }
    }
    if (tmp.size() < D.cs.size()) tmp.resize(D.cs.size(), 0);
    for (; ; ) {
      int r = 0, s = 0;
      foreach (it, D.cs[0]) if (it->i > 0 && (r == 0 || id[r] > id[it->i]) && D(*it) < 0) r = it->i;
      if (r == 0) break;
      wint t = 0;
      foreach (it, D.rs[0]) tmp[it->j] = it->v;
      foreach (it, D.rs[r]) if (it->j > 0 && it->v < 0) {
        wint d = tmp[it->j] * t - tmp[s] * it->v;
        if (s == 0 || d > 0 || (d == 0 && s > it->j)) { s = it->j; t = it->v; }
      }
      foreach (it, D.rs[0]) tmp[it->j] = 0;
      if (s == 0) throw "infeasible";
      pivot(r, s);
    }
  }
  void crisscross() {
    for (int INF = 1001001001; ; ) {
      int r = 0, s = INF;
      foreach (it, D.cs[0]) if (it->i > 0 && (r == 0 || id[r] > id[it->i]) && D(*it) < 0) r = it->i;
      foreach (it, D.rs[0]) if (it->j > 0 && it->v < 0) chmin(s, it->j);
      if (r == 0 && s == INF) break;
      if (r > 0 && id[r] < s) {
        s = INF;
        foreach (it, D.rs[r]) if (it->j > 0 && it->v < 0) chmin(s, it->j);
        if (s == INF) throw "primal infeasible";
      } else {
        r = 0;
        foreach (it, D.cs[s]) if ((r == 0 || id[r] > id[it->i]) && D(*it) > 0) r = it->i;
        if (r == 0) throw "dual infeasible";
      }
      pivot(r, s);
    }
  }
};
wint floorDiv(wint a, wint b) {
  return (a >= 0) ? (a / b) : ((a - b + 1) / b);
}
void branch(Tab &t, int i, int k, wint f) {
  int n = t.id.size(), m = t.D.cs.size();
  t.id.push_back(m); t.D.append(n, 0, f); t.D.append(n, t.id[i], k); t.D.append(n, m, 1); t.pivot(i, t.id[i]);
}
int select(Tab &t) {
  for (int i = 0; i < (int)t.id.size(); ++i) if (t.id[i] < t.id[0] && t.D(i, 0) % t.idv(i) != 0) return i;
  return 0;
}
bool IPDfs(Tab &t, vector<wint> &x, wint lb) {
  try {
    t.simplex(); wint t0 = t.D(0, 0), ti = t.idv(0); if (t0 < lb * ti) return 0; vector<Row> rs = t.D.rs[0];
    foreach (it, rs) if (it->j > 0 && it->j != t.id[0] && t0 - it->v < lb * ti) t.D.clearCol(it->j);
    int i = select(t);
    if (i == 0) {
      t.val(x); return 1;
    } else {
      wint f = floorDiv(t.D(i, 0), t.idv(i));
      Tab tt = t;
      branch(tt, i, -1, -f - 1); if (IPDfs(tt, x, lb)) return 1;
      branch(t, i, 1, f); if (IPDfs(t, x, lb)) return 1;
    }
  } catch (...) {
  }
  return 0;
}
// max c.x subject to x >= 0, A x <= b
wint IP(Mat A, vector<wint> b, vector<wint> c, vector<wint> &x) {
  Tab t(A, b, c); t.crisscross();
  for (wint lb = floorDiv(t.D(0, 0), t.idv(0)); ; --lb) { Tab tt = t; if (IPDfs(tt, x, lb)) return lb; }
}



int K;
Int C[1 << 4], D[4];

int main() {
  for (int numCases; ~scanf("%d", &numCases); ) { for (int caseId = 1; caseId <= numCases; ++caseId) {
    scanf("%d", &K);
    for (int h = 1; h < 1 << K; ++h) {
      scanf("%lld", &C[h]);
    }
    for (int i = 0; i < K; ++i) {
      scanf("%lld", &D[i]);
    }
    
    Mat A;
    vector<wint> b;
    {
      int row = 0;
      for (int i = 0; i < K; ++i) {
        for (const int sig : {+1, -1}) {
          for (int h = 1; h < 1 << K; ++h) if (h >> i & 1) {
// cerr<<"A["<<row<<"]["<<h<<"] = "<<sig<<endl;
            A.append(row, h - 1, sig);
          }
          ++row;
          b.push_back(sig * D[i]);
        }
      }
    }
    const vector<wint> c(C + 1, C + (1 << K));
// cerr<<"b = "<<b<<endl;
// cerr<<"c = "<<c<<endl;
    vector<wint> x;
    try {
      const wint ans = IP(A, b, c, x);
      printf("%lld\n", ans);
    } catch (const char *msg) {
      cerr << "HELP " << msg << endl;
    }
  }
#ifndef LOCAL
  break;
#endif
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3748kb

input:

3
2
1 2 4
4 5
3
3226252 19270256 2430652 1187613 12496062 10286165 17494834
24 85 34
4
901133 6693218 13245489 14740234 16186210 11382783 19277321 3855635 16523184 10168517 16195031 971041 10303441 8395899 11618555
529321239 218214127 92942310 207467810

output:

18
1949753378
7832404777567179

result:

ok 3 number(s): "18 1949753378 7832404777567179"

Test #2:

score: 0
Accepted
time: 3ms
memory: 3824kb

input:

100
4
4488409 9842893 14331290 11289097 15777479 21131954 25620334 6146092 10634508 15988956 20477387 17435190 21923584 27278027 31766493
200477197 258791439 590664017 982949628
4
5484152 19851747 25335961 6555937 12039831 26407861 31891996 10897184 16381166 30749333 36233145 17453055 22937114 37304...

output:

16156444320083421
24565535429631234
29418802996321901
30685727712782520
21026118053726857
27272339796311010
28831028447377015
34577176834491128
9058894962996375
21525085254465501
6657186892229297
16750628911275484
11217846865301187
12674726744043780
33873234230125448
3890237279573366
319038768614465...

result:

ok 100 numbers

Test #3:

score: 0
Accepted
time: 3ms
memory: 3792kb

input:

100
4
11618334 18295966 29914477 5116382 16734869 23412289 35030567 15002473 26620994 33298395 44916782 20118655 31737127 38414456 50032872
52573649 733715025 105771527 204824011
4
2142433 13679527 15822005 7304783 9447231 20984363 23126840 6271380 8413827 19950941 22093291 13576168 15718643 2725577...

output:

17648887427676796
21625331519839488
5123483163674640
20332898488476516
10882410276737710
25799406290369942
9021794681785918
14079661025657823
19651479225495798
19108340996997031
7502197529195960
14859286025000990
26534486448012504
21196964793845212
17222108748663918
19112873745810973
150116234459639...

result:

ok 100 numbers

Test #4:

score: 0
Accepted
time: 3ms
memory: 3704kb

input:

100
4
19912840 5584811 25497404 10173442 30086113 15758284 35670730 10055784 29968204 15640365 35553036 20228929 40141706 25813818 45726645
199637398 648830099 620879036 721665690
4
7571016 7507237 15078004 19283701 26854580 26790914 34361725 2809630 10380467 10316661 17887650 22093187 29664080 2960...

output:

21172351446279597
12216316207781859
31685774482329793
36066732654517313
19340822375673782
17094361082328640
19075803268324489
23946411427126244
15750520513128720
10839993372177143
28038252774564427
12098359408203383
16661717061725678
16141878677697603
10422881545500853
23195259150880456
161145733965...

result:

ok 100 numbers

Test #5:

score: 0
Accepted
time: 1ms
memory: 3700kb

input:

100
4
16976932 14037962 31014864 10197492 27174564 24235473 41212439 18912005 35888926 32949719 49926702 29109585 46086485 43147299 60124270
491925338 268977876 990762353 88764265
4
12999234 10104744 23104060 1196740 14196165 11301451 24300745 3216693 16215855 13321348 26320916 4413380 17412748 1451...

output:

23909367397934013
13788681506670460
23733351389222421
14554685971742458
21700214066873395
14675080284915330
33895419440563729
29492673616768327
11303756472296747
12482610599433273
14710253245102988
30271020171688425
9134330469412563
33975992434656396
17398716116891428
24545212510786538
3194464768874...

result:

ok 100 numbers

Test #6:

score: 0
Accepted
time: 3ms
memory: 3704kb

input:

100
4
19074076 1326772 20400846 10221739 29295815 11548536 30622598 8932278 28006379 10259062 29333181 19154053 38228108 20480879 39554936
638989087 594158358 505869863 605605944
4
4624862 3932439 8557338 1945542 6570437 5877999 10502871 4787691 9412557 8720153 13345006 6733262 11358122 10665669 152...

output:

23556800109725722
10537032002627174
14660751629073194
20011815419177543
22625965024389053
11033496376968227
17546765754659334
27441279970436335
34448070575909396
25397224562147617
10757782582321602
16008699146950819
10145064828196714
41523392253608928
20626446413714925
32072152342903207
720635465608...

result:

ok 100 numbers

Test #7:

score: 0
Accepted
time: 4ms
memory: 3696kb

input:

100
4
1171312 9779739 10950939 15278965 16449994 25058569 26229921 2821649 3992612 12601354 13772604 18100248 19271474 27880146 29051284
786052835 69081944 20977372 827480328
4
15086110 17760131 32846218 13924280 29010738 31684453 46770885 15128745 30215077 32888809 47975302 29053233 44139622 468134...

output:

4251688072802988
38416920079725055
6532611509976464
40289090747797420
5302425059666288
24716122297246780
40775392402414505
7056563165740518
17529843593302808
12819105623258024
20531058461804092
18722825798670288
33134881338491166
14337748949215833
28205390066848386
18508938475970114
1464607434360399...

result:

ok 100 numbers

Test #8:

score: 0
Accepted
time: 4ms
memory: 3700kb

input:

100
4
3268337 18232898 21501303 9105978 12374475 27338971 30607287 11677818 14946177 29910672 33178912 20783747 24052133 39016627 42285057
783373480 689229722 536084881 344322007
4
5547703 11587692 17135387 870321 6417974 12457985 18005620 15535900 21083520 27123601 32671264 16406183 21953851 279938...

output:

24029593865073835
17357370523557614
7754333149525536
24770903948059615
14829362656077913
13853154752037552
22856229602033323
23897428200156414
17506334124779784
16507611157738008
21743814085856734
27158737156121400
14411231424407837
12391527972875238
23916408781407438
24317152966273698
7400547834361...

result:

ok 100 numbers

Test #9:

score: 0
Accepted
time: 1ms
memory: 3856kb

input:

100
4
5365456 5521877 10887385 9130162 14495850 14651940 20017468 6731144 12096612 12252742 17618423 15861269 21226812 21383080 26748653
930437229 309377499 905968199 566196390
4
17173130 5415382 22588448 1619174 18792328 7034555 24207585 12074036 29247238 17489345 34662518 13693236 30866361 1910850...

output:

18783561823107173
17174759455871110
20660176070779614
32551394415335213
14757437903189281
14353521145985327
8825454958613940
18626834204122338
23538161187858980
9768340101299130
10856044914259908
13798985739347606
28560306475402613
9937141276845409
22030208362253896
10007043951392399
932418252758094...

result:

ok 100 numbers

Test #10:

score: 0
Accepted
time: 3ms
memory: 3700kb

input:

100
4
8626843 13974903 22601547 9154419 17781333 23129257 31755964 15587325 24214126 29562230 38188966 24741851 33368575 38716644 47343335
77500977 784301085 421075708 933294965
4
2601585 19242893 21844460 8564983 11166697 27808106 30409548 7448057 10049691 26690992 29292813 16013341 18614976 352562...

output:

30031441828206913
23706173942582594
35850620790374689
12248181406938398
3569227446883530
27644763176419295
20081336598385059
22229155823622873
32305575190424382
28752041038252008
7011854183413928
28284434195685860
23754711092334182
21112877189703804
21779236766630770
11439389176833922
16936798822777...

result:

ok 100 numbers

Test #11:

score: 0
Accepted
time: 1ms
memory: 3772kb

input:

100
4
13688404 12628879 26317621 5351629 19040005 17980387 31669079 14469291 28157775 27098440 40786668 19820709 33509247 32449794 46138396
116132017 898003516 839972106 892258556
4
6839726 3899287 10739121 113756 6953512 4013022 10852729 18786521 25626326 22685885 29525686 18900424 25740120 2279973...

output:

30336258507082714
3257768626402136
28768287749346077
24983778209266624
33337982642789783
8256725694468078
22292037981448585
18920943294190842
19458942341010512
8558313401862953
15215499555800050
16557870271025505
19252729255629219
5089861441915246
20378861002078977
20236585760009299
1513702155613423...

result:

ok 100 numbers

Test #12:

score: 0
Accepted
time: 4ms
memory: 3772kb

input:

100
4
818632 14885007 15703632 10408690 11227157 25293691 26112291 9522508 10341287 24407621 25226174 19931188 20749827 34816087 35634914
408419958 223183998 355079615 259357132
4
12268258 17726903 29995137 7059674 19327948 24786537 37054795 14160661 26428894 31887596 44155812 21220340 33488624 3894...

output:

9822123147255252
25706707261441731
30764683969228288
20463407949651199
13119143982680734
4511209144591007
17206988115593070
21613410637449924
6063335219524613
28247599960704248
20398515507252217
7805031270286406
43671110708013807
16822872474944611
26966106568765306
38046693018932635
2288946869140619...

result:

ok 100 numbers

Test #13:

score: 0
Accepted
time: 3ms
memory: 3784kb

input:

100
4
17882885 3338008 21220862 10432804 28315706 13770867 31653699 18378803 36261713 21716859 39599725 28811677 46694515 32149718 50032575
555483706 843331776 165154420 481231515
4
3893831 6521669 10415260 7808579 11702235 14330241 18223833 15731888 19625524 22253365 26147241 23540433 27434140 3006...

output:

23316214536490063
22139250765511441
22281944987058948
22368379936792866
6094559071158787
14179808411937036
19848270480774283
31800041401313086
24430928137055338
21245647160267298
28720402198184113
21139760374401571
21459062813217036
19167200380594251
9060291570904319
3342348642918590
372868618667565...

result:

ok 100 numbers

Test #14:

score: 0
Accepted
time: 3ms
memory: 3764kb

input:

100
4
19979998 16823957 36803975 9292880 29272968 26116922 46096896 7235120 27215075 24059121 44039142 16528036 36508026 33351962 53332011
702547455 318255361 680261930 998073194
4
14355044 349066 14704372 14754399 29109766 15103602 29458750 11105765 25461150 11454966 25810188 25860282 40215498 2620...

output:

32934058805096906
25248650232118286
20596963895757786
34296109369076807
21170591453952093
15297730643210559
16658113449947174
9285254128055933
34409107094899036
8409398361229868
14654898814118327
12882322998656289
16980505536456191
26326071351987652
18205368491874005
20853765326283413
17881088390515...

result:

ok 100 numbers

Test #15:

score: 0
Accepted
time: 3ms
memory: 3708kb

input:

100
4
17044248 4112972 21157245 9317154 26361378 13429981 30474311 17255524 34299701 21368436 38412668 26572547 43616815 30685502 47729715
699868099 938403139 50145247 219947577
4
4816545 19209766 24026173 6733364 11549723 25943055 30759506 1447072 6263517 20656762 25473255 8180303 12997037 27390049...

output:

20050890461098521
16912986526374868
21395331075748195
24898058411192152
36485811506417772
17311235865468642
17925280122419906
11111113690525656
13421491226187821
13213904255347673
34865058086495745
11627028614759309
40775602040671470
19189429429150267
14271915906028964
22814864282246034
242839763740...

result:

ok 100 numbers

Test #16:

score: 0
Accepted
time: 3ms
memory: 3788kb

input:

100
4
19141397 12565949 31707357 14374230 33515636 26940179 46081570 6111747 25253153 18677695 37819100 20485971 39627374 33051924 52193313
846931848 558550917 565252756 736789257
4
16442041 8004517 24446538 2449341 18891242 10453678 26895842 8051090 24493177 16055658 32497644 10500335 26942383 1850...

output:

35858332464905214
20976717070872097
30351720630237411
10601652628680713
38546165484582341
24651487370072888
4944034566488499
12944848325784268
25939954955376921
28520959651899839
24903571220134037
25756378650658020
11261464488494142
29430266128657295
14649854693522165
17227969937977500
2733110955707...

result:

ok 100 numbers

Test #17:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

100
2
12167161 5799299 17966463
112370761 157416002
2
17886736 5898036 23784804
190891670 938742153
2
19161692 14848619 34010323
408355227 373975737
2
19757131 10504373 30261457
458863791 747726339
2
15181356 6678700 21859931
469240789 28698166
2
18400074 173733 18574024
762103643 40447721
2
1485017...

output:

2280135940874402
8951170027534068
13377804808030131
16920228396724068
7315377908794084
14029799307937532
23542852816423472
12019080917094672
5500254122685290
1777123414550942
18992670569600186
12277060713042936
11479435499933806
18642876532604270
30475687415994819
6535374083161607
3575862683781468
4...

result:

ok 100 numbers

Test #18:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

100
3
11925575 11719553 23645133 14377862 26303405 26097257 38022905
794976318 501014308 681521306
3
839381 15844190 16683438 1710956 2550292 17555093 18394561
17132802 926345869 984282669
3
736197 4998174 5734346 6022367 6758535 11020533 11756694
678670553 636059210 748298414
3
14905809 11834557 26...

output:

25151035232696486
16375645823363504
8185297505615419
12549523102068159
12230231484894479
5970814852888599
16785730816333659
14128817750481004
19433389708161550
9891498191151937
19116999247570263
17311652767472196
5559919144649117
19619241222518636
10761057132675212
16669420283317066
3556726375160672...

result:

ok 100 numbers

Test #19:

score: 0
Accepted
time: 2ms
memory: 3800kb

input:

100
3
1398110 14355699 15753959 7519346 8917294 21875119 23273057
117399159 401129991 20138223
3
15888817 1195450 17084384 3020634 18909385 4216042 20104889
129823746 392285344 730246165
3
10602318 13060613 23662795 19755547 30357988 32816092 43418502
390348825 512692916 326802037
3
14804361 1596059...

output:

6074083715522709
4737524840680174
17290879335593648
21634861743683904
22591422629959295
16068955594656119
14290789976303262
10175103769091053
3312016596514584
5803987962708996
7199218331698896
15673496527611471
4477427975441035
17978570839593433
1956074950574761
6582326394471792
7930996191194370
141...

result:

ok 100 numbers

Test #20:

score: 0
Accepted
time: 2ms
memory: 3748kb

input:

100
3
19558798 612816 20171414 3076627 22635434 3689396 23248032
258439246 528152900 475496469
3
1148149 9114227 10262347 906132 2054308 10020301 11168454
81233604 393257697 46762902
3
9056543 12118037 21174594 18178138 27234755 30296217 39352969
772532381 334579913 101264205
3
10077223 11333001 214...

output:

6841349156235985
3719882825667633
12891747869295321
11695520906281570
37180875867880530
6644013298466961
5668734620052918
11291341370348957
6719823255474322
15432131283956712
11650903692612800
7915324364346091
18855530350491017
26635367303669759
5679603563164156
14679848112083424
27255392135239333
2...

result:

ok 100 numbers

Test #21:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

1
4
18771096 16554401 35325702 15547759 34318962 32102165 50873353 15784482 34555700 32339072 51110134 31332365 50103626 47886724 66658013
385018454 60751498 94584456 207814234

output:

12983792986996964

result:

ok 1 number(s): "12983792986996964"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

1
4
14769335 821915 15591268 6115422 20884779 6937520 21706890 8427993 23197272 9249953 24019354 14543492 29312817 15365534 30134897
138925583 433937978 735338247 427156305

output:

10505582771919122

result:

ok 1 number(s): "10505582771919122"

Test #23:

score: 0
Accepted
time: 1ms
memory: 3700kb

input:

100
4
6108031 19286908 25394942 3176955 9285008 22463779 28571911 3723535 9831766 23010542 29118549 6900497 13008632 26187364 32295458
232923845 501188579 384201379 372097077
4
10224552 7911590 18136203 14396317 24620812 22307963 32532556 11799831 22024259 19711592 29936037 26196068 36420730 3410773...

output:

13695251424270035
15541348127130361
48952973045836735
12142335032411192
30293462194634291
12848540783195019
25822179494226538
5614415434767934
16211735081331902
15373485218820957
15341405709563082
9399804106735937
19568333204722574
8487402552672659
13716627215369232
16749529678218458
272266786186880...

result:

ok 100 numbers

Test #24:

score: 0
Accepted
time: 3ms
memory: 3768kb

input:

100
4
2084037 1491937 3575957 7477549 9561584 8969466 11053462 3505298 5589173 4997212 7081191 10982734 13066869 12474641 14558730
445016291 98105615 219122114 802214851
4
17225658 16689514 33914952 7061166 24286651 23750592 40976256 11181183 28406717 27870611 45096206 18242321 35467851 34931785 521...

output:

5524296270172206
32530193561370084
13596707860970928
16566679253040825
23201430302382926
13101953988575100
19259814298059875
23089925599096109
28904068166286187
17184348403079203
12715445527254249
20056726728044350
19247988662576289
12749140514437533
26598616300078604
10197292830723210
3404895871655...

result:

ok 100 numbers

Test #25:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

100
4
19444267 17150615 36594891 11648850 31092936 28799282 48243634 1100815 20545110 18251299 37695557 12749464 32193765 29900035 49344374
163821759 103785017 149079908 679911306
4
18146137 7768946 25915142 15471128 33617357 23240039 41386221 19981362 38127432 27750310 45896492 35452354 53598649 43...

output:

7450441529370550
23332931716556546
27025676362846377
20654228645152901
14085450873938406
13341164465133426
21295434874631510
41511176296865557
41462481624828540
18320491995969469
9802144415114218
34526313622471760
34761253577562387
21818134009257536
25467125838538473
17222562854409516
30751933718589...

result:

ok 100 numbers

Test #26:

score: 0
Accepted
time: 3ms
memory: 3648kb

input:

100
4
9799432 13282524 23081822 4723147 14522690 18005632 27805163 19637954 29437385 32920343 42719828 24361263 34160557 37643678 47442951
745251459 999193495 898693889 260738145
4
225663 12353927 12579454 6414668 6640330 18768563 18994236 5843291 6069064 18197262 18422932 12258015 12483822 24612008...

output:

29939992669323755
9118582028604176
23709427365614498
14963354692145936
29231211077754852
18268963689024040
20273856604394121
5093879705387918
3182566170349885
16465845666473851
25359356053667487
9577165739221913
38201800820028692
28024201764660979
15561841066500038
11257484422361993
7735528207779308...

result:

ok 100 numbers