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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
#386545#6406. Stage ClearzlxFTHML 1097ms330920kbC++143.2kb2024-04-11 18:05:472024-04-11 18:05:48

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 18:05:48]
  • Judged
  • Verdict: ML
  • Time: 1097ms
  • Memory: 330920kb
  • [2024-04-11 18:05:47]
  • 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();
  vector<int> o(n);
  iota(o.begin(), o.end(), 0);
  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];
    }
  });
  i64 ans = 1E18;
  vector<vector<int>> adj_n(n);
  vector<int> from(n);
  auto rdfs = [&](auto self, int u, i64 &A, i64 &B)->void {
    if (B >= a[u]) {
      B += -a[u] + b[u];
    } else {
      A = a[u] - (-A + B);
      B = b[u];
    }
    for (auto i : adj_n[u]) {
      int v = e[i].second;
      self(self, v, A, B);
    }
  };
  for (int s = 0; s < (1 << cnt); ++s) {
    fill(from.begin(), from.end(), -1);
    for (int i = 0; i < n; ++i) {
      vector<int>().swap(adj_n[i]);
    }
    for (int i = 0; i < cnt; ++i) {
      if (s >> i & 1) {
        used[c[i]] = 2;
        auto [u, v] = e[c[i]];
        if (from[v] == -1) {
          from[v] = u;
          adj_n[u].push_back(c[i]);
        }
      }
    }
    for (int i = 0; i < m; ++i) {
      if (used[i] == 1) {
        auto [u, v] = e[i];
        if (from[v] == -1) {
          from[v] = u;
          adj_n[u].push_back(i);
        }
      }
    }
    for (int i : o) {
      if (i) {
        adj_n[from[i]].push_back(i);
      }
    }
    i64 A = 0, B = 0;
    rdfs(rdfs, 0, A, B);
    ans = min(ans, A);
  }
  cout << ans << "\n";
}

int main() {
  cin.tie(0)->sync_with_stdio(0);
  cin >> n >> m;
  if (n <= 26) {
    solve1();
  } else {
    solve2();
  }
  return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3812kb

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: 4020kb

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: 14ms
memory: 8500kb

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: 68ms
memory: 23660kb

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: 1097ms
memory: 330920kb

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: -100
Memory Limit Exceeded

input:

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

output:


result: