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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#386628#6406. Stage ClearzlxFTHTL 3481ms330688kbC++143.3kb2024-04-11 18:46:032024-04-11 18:46:03

Judging History

This is the latest submission verdict.

  • [2024-08-15 21:05:17]
  • hack成功,自动添加数据
  • (/hack/778)
  • [2024-04-11 18:46:03]
  • Judged
  • Verdict: TL
  • Time: 3481ms
  • Memory: 330688kb
  • [2024-04-11 18:46:03]
  • Submitted

answer

#include <bits/stdc++.h>
using namespace std;

#define debug(...) fprintf(stderr, __VA_ARGS__)

using i64 = long long;

int n, m;

void solve1() {
  vector<i64> a(n), b(n);
  for (int i = 1; i < n; ++i) {
    cin >> a[i] >> b[i];
  }
  vector<int> from(1 << n);
  for (int i = 0; i < m; ++i) {
    int u, v;
    cin >> u >> v, u--, v--;
    from[v] |= 1 << u;
  }
  vector<i64> w(1 << n);
  for (int s = 0; s < (1 << n); ++s) if (s & 1) {
    for (int i = 0; i < n; ++i) {
      if (s >> i & 1) {
        w[s] += -a[i] + b[i];
      }
    }
  }
  vector<i64> f(1 << n, 1E18);
  f[1] = 0;
  for (int s = 2; s < (1 << n); ++s) if (s & 1) {
    for (int i = 1; i < n; ++i) {
      if (s >> i & 1 && from[i] & s) {
        int t = s ^ (1 << i);
        /*
          f[t] + w[t] >= a[i] -> f[t] + w[t]
          f[t] + w[t] < a[i]  -> a[i] - w[t]
        */
        if (f[t] + w[t] >= a[i]) f[s] = min(f[s], f[t]);
        else f[s] = min(f[s], a[i] - w[t]);
      }
    }
  }
  cout << f[(1 << n) - 1] << "\n";
}

void solve2() {
  vector<i64> a(n), b(n);
  for (int i = 1; i < n; ++i) {
    cin >> a[i] >> b[i];
  }
  vector<pair<int, int>> e(m);
  vector<vector<int>> adj(n);
  for (int i = 0; i < m; ++i) {
    auto &[u, v] = e[i];
    cin >> u >> v, u--, v--;
    adj[u].push_back(i);
  }
  vector<int> used(m), vis(n);
  auto dfs = [&](auto self, int u)->void {
    vis[u] = 1;
    for (auto i : adj[u]) {
      int v = e[i].second;
      if (!vis[v]) {
        self(self, v);
        used[i] = 1;
      }
    }
  };
  dfs(dfs, 0);
  vector<int> c;
  for (int i = 0; i < m; ++i) {
    if (!used[i]) {
      c.push_back(i);
    }
  }
  int cnt = c.size();
  i64 ans = 1E18;
  vector<int> from(n);
  vector<i64> A(n), B(n);
  auto rdfs = [&](auto self)->void {
    vector<int> o;
    for (int i = 1; i < n; ++i) {
      if (from[i] != -1) {
        o.push_back(i);
      }
    }
    if (!o.size()) {
      ans = min(ans, A[0]);
      return;
    }
    sort(o.begin(), o.end(), [&](auto u, auto v) {
      if ((A[u] < B[u]) != (A[v] < B[v])) {
        return A[u] < B[u];
      }
      if (A[u] < B[u]) {
        return A[u] < A[v];
      } else {
        return B[u] > B[v];
      }
    });
    int cur = o[0], tar = from[cur];
    from[cur] = -1;
    if (B[tar] >= A[cur]) {
      B[tar] += -A[cur] + B[cur];
    } else {
      A[tar] = A[cur] - (-A[tar] + B[tar]);
      B[tar] = B[cur];
    }
    for (int i = 1; i < n; ++i) {
      if (from[i] == cur) {
        from[i] = tar;
      }
    }
    self(self);
  };
  for (int s = 0; s < (1 << cnt); ++s) {
    fill(from.begin(), from.end(), -1);
    for (int i = 0; i < cnt; ++i) {
      if (s >> i & 1) {
        auto [u, v] = e[c[i]];
        if (from[v] == -1) {
          from[v] = u;
        }
      }
    }
    for (int i = 0; i < m; ++i) {
      if (used[i] == 1) {
        auto [u, v] = e[i];
        if (from[v] == -1) {
          from[v] = u;
        }
      }
    }
    copy(a.begin(), a.end(), A.begin());
    copy(b.begin(), b.end(), B.begin());
    rdfs(rdfs);
  }
  cout << ans << "\n";
}

int main() {
  cin.tie(0)->sync_with_stdio(0);
  cin >> n >> m;
  if (n <= 24) {
    solve1();
  } else {
    solve2();
  }
  return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 3692kb

input:

4 4
4 2
5 3
2 6
1 2
1 3
2 4
3 4

output:

4

result:

ok 1 number(s): "4"

Test #2:

score: 0
Accepted
time: 2ms
memory: 3932kb

input:

15 14
254040392438309 117083115436273
500005748229691 557255157630172
821034233718230 865199673774998
659892147898798 987564141425694
81172575487567 811635577877255
751768357864605 341103322647288
454926350150218 140191090713900
921608121471585 659295670987251
223751724062143 505619245326640
8907765...

output:

1665396301509143

result:

ok 1 number(s): "1665396301509143"

Test #3:

score: 0
Accepted
time: 18ms
memory: 8340kb

input:

18 17
636830992776530 847574431876821
330869946457865 78274534165482
450581372553540 11565219334965
8736347226844 17186323694285
870805093198860 559070167736042
674369178493171 930151818400874
641605209598997 222521062460239
450936030349531 469197172169023
831295459816974 626096008793091
53095460351...

output:

2375957544280218

result:

ok 1 number(s): "2375957544280218"

Test #4:

score: 0
Accepted
time: 64ms
memory: 23852kb

input:

20 19
539893468691183 767805205447882
240338186903141 960937349402327
942645580569365 896509929612645
542601575005817 191461109090531
540992546866047 765080044816119
904535155855114 858111921213175
452499200048240 115895143306864
983856946412026 838504718536099
586421298181479 265212699386882
677124...

output:

800919806038419

result:

ok 1 number(s): "800919806038419"

Test #5:

score: 0
Accepted
time: 1088ms
memory: 330688kb

input:

24 23
114281007218527 308690671179962
145951034437731 718976086594208
709172151907814 926071954787084
224496444610281 498657753059525
874422017133378 857676356343078
532175866197017 818525693672607
303837639402605 374469705563954
512244364294540 952911486867703
748959419417502 249992707230361
512696...

output:

114281007218527

result:

ok 1 number(s): "114281007218527"

Test #6:

score: 0
Accepted
time: 1ms
memory: 3640kb

input:

36 35
389328367777319 678636570542258
32216944647452 612585362150577
891592845704885 596030605892036
688825276167602 461516360471825
916552899998310 106733202183953
400050408958777 670724326933521
995792861502757 894514508573875
14511185222713 612305257166443
175168368096281 508263855969282
85578802...

output:

171942144116875

result:

ok 1 number(s): "171942144116875"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

36 35
759037289890767 849577210686635
16379509883489 441829377955433
589378488455351 990818352083122
871208015900506 727359003875494
207852561142533 28766987248469
81321183353129 892618157632070
198487099788393 519364502513651
83942803274015 988821788304459
868185445880277 269956013388079
3834515054...

output:

759037289890767

result:

ok 1 number(s): "759037289890767"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

36 35
100792831728257 823656493168793
866936535786311 187861146327778
132998929717538 605906559206892
3319598846477 393401056223733
964444786730964 932398059281618
925176496607384 148825907337833
985037559482190 646827297289525
469876125353024 641923164294854
453796287874442 291205025001534
72806942...

output:

1397699717661157

result:

ok 1 number(s): "1397699717661157"

Test #9:

score: 0
Accepted
time: 1ms
memory: 3640kb

input:

36 36
245996406159980 462974248377488
839352152971124 40282565369163
572695144110271 507726167903341
671102350267895 18090181781241
643724978558334 551787913319524
936340565446887 517649577919257
158127116487034 175750969611510
396852573858996 670814068366285
534702788102341 124550558279140
69441153...

output:

2508008255775889

result:

ok 1 number(s): "2508008255775889"

Test #10:

score: 0
Accepted
time: 1ms
memory: 3640kb

input:

34 38
656738239290510 319959252044415
760511943177376 828562698756504
470087249708484 441916827764162
105399930988058 761192720347117
81742549616394 195819875734286
782982110569406 72384154665629
647269989285797 720280547207448
531182311814386 160821851115134
292963780645658 871789628567253
74499577...

output:

656738239290510

result:

ok 1 number(s): "656738239290510"

Test #11:

score: 0
Accepted
time: 5ms
memory: 3652kb

input:

32 40
818105834607446 689904077664886
717146597564762 686987602224041
538827104521875 147060924732538
604913134601443 802546720879673
45376965619246 480061093729529
686039951678173 889398415870480
374408509732957 354006189233817
103818950629279 863526642478066
719174876808085 130061851080766
9744074...

output:

2289520618562758

result:

ok 1 number(s): "2289520618562758"

Test #12:

score: 0
Accepted
time: 62ms
memory: 3808kb

input:

30 42
730678486091139 762413502107242
564137648972911 492217680357057
677122869459914 634406715345550
766223620461328 750896882727596
34139073751269 875301336250330
948602995486093 589201509496124
333847023521138 673322700954330
774661538057122 360743409997856
301647343463502 78371781314140
44979585...

output:

2296677982487339

result:

ok 1 number(s): "2296677982487339"

Test #13:

score: 0
Accepted
time: 851ms
memory: 3676kb

input:

28 44
996216744822715 15265122654307
591377215147374 392892022614182
134817686923570 666778840251745
603108267679560 939679039946396
792878600465606 943254465658609
705582931165204 626247204621328
833947774992752 802610518921019
60510220659563 935537906466250
900509663884138 957082020010408
38517385...

output:

1021065751521024

result:

ok 1 number(s): "1021065751521024"

Test #14:

score: 0
Accepted
time: 3481ms
memory: 3580kb

input:

27 45
271265179156100 385209948242010
548010795825703 286502371912374
203557541769729 336737491323929
32253800857105 902537647325928
835008409588714 227495683621084
573457473959732 478446911624066
447407603972649 401150715116732
597962487418392 594931676764990
326718612562917 293848561935121
6497688...

output:

271265179156100

result:

ok 1 number(s): "271265179156100"

Test #15:

score: -100
Time Limit Exceeded

input:

26 46
511128167626061 755154773895250
469460004382432 144928349121735
272299544034000 41881588292305
453271611317466 830211882616629
877138218711823 441367083696839
476515315035731 252150151731957
174547198161633 921197665643069
56919360991429 297636468095153
717743189152864 552120784448634
95767590...

output:


result: