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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#335207#6308. MagichashiryoTL 0ms3552kbC++175.0kb2024-02-22 22:01:002024-02-22 22:01:00

Judging History

你现在查看的是最新测评结果

  • [2024-02-22 22:01:00]
  • 评测
  • 测评结果:TL
  • 用时:0ms
  • 内存:3552kb
  • [2024-02-22 22:01:00]
  • 提交

answer

// #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
// clang-format off
std::ostream&operator<<(std::ostream&os,std::int8_t x){return os<<(int)x;}
std::ostream&operator<<(std::ostream&os,std::uint8_t x){return os<<(int)x;}
std::ostream&operator<<(std::ostream&os,const __int128_t &u){if(!u)os<<"0";__int128_t tmp=u<0?(os<<"-",-u):u;std::string s;while(tmp)s+='0'+(tmp%10),tmp/=10;return std::reverse(s.begin(),s.end()),os<<s;}
std::ostream&operator<<(std::ostream&os,const __uint128_t &u){if(!u)os<<"0";__uint128_t tmp=u;std::string s;while(tmp)s+='0'+(tmp%10),tmp/=10;return std::reverse(s.begin(),s.end()),os<<s;}
#define checkpoint() (void(0))
#define debug(...) (void(0))
#define debugArray(x,n) (void(0))
#define debugMatrix(x,h,w) (void(0))
// clang-format on
class CliqueProblem {
 using u128= __uint128_t;
 using u64= unsigned long long;
 using u16= unsigned short;
 const u16 n, m;
 struct id_num {
  u16 id, num;
 };
 std::vector<u128> adj_;
 std::vector<u16> calc(bool complement) const {
  std::vector<u128> buf, adj(adj_);
  std::vector<u16> deg(n), clique, cur;
  if (complement)
   for (int u= n; u--;)
    for (int v= u; v--;) adj[u * m + (v >> 7)]^= u128(1) << (v & 127), adj[v * m + (u >> 7)]^= u128(1) << (u & 127);
  auto dfs= [&](auto dfs, std::vector<id_num> &rem) -> void {
   if (clique.size() < cur.size()) clique= cur;
   std::sort(rem.begin(), rem.end(), [&](id_num l, id_num r) { return deg[l.id] > deg[r.id]; }), buf.assign((n + 1) * m, 0);
   for (auto &v: rem) {
    int b= v.id * m, bb= 0;
    for (v.num= 0;; ++v.num, bb+= m) {
     bool any= 1;
     for (u16 i= 0; i < m; ++i) any&= !(adj[b + i] & buf[bb + i]);
     if (any) break;
    }
    buf[bb + (v.id >> 7)]|= u128(1) << (v.id & 127);
   }
   std::sort(rem.begin(), rem.end(), [&](id_num l, id_num r) { return l.num < r.num; });
   std::vector<id_num> nrem;
   for (nrem.reserve(rem.size()); !rem.empty();) {
    auto p= rem.back();
    if (p.num + cur.size() < clique.size()) break;
    nrem.clear();
    auto a= adj.cbegin() + p.id * m;
    for (auto u: rem)
     if ((a[u.id >> 7] >> (u.id & 127)) & 1) nrem.emplace_back(u);
    std::fill_n(buf.begin(), m, 0);
    for (auto u: nrem) buf[u.id >> 7]|= u128(1) << (u.id & 127);
    for (auto u: nrem) {
     int b= u.id * m, i= 0, cnt= 0;
     for (u128 tmp; i < m; ++i) tmp= buf[i] & adj[b + i], cnt+= __builtin_popcountll(tmp >> 64) + __builtin_popcountll(u64(tmp));
     deg[u.id]= cnt;
    }
    cur.push_back(p.id), dfs(dfs, nrem), cur.pop_back(), rem.pop_back();
   }
  };
  std::vector<id_num> nrem;
  for (u16 u= n, cnt; u--; nrem.push_back(id_num{u, 0}), deg[u]= cnt) {
   int b= u * m, i= cnt= 0;
   for (u128 tmp; i < m; ++i) tmp= adj[b + i], cnt+= __builtin_popcountll(tmp >> 64) + __builtin_popcountll(u64(tmp));
  }
  return dfs(dfs, nrem), clique;
 }
public:
 CliqueProblem(int n): n(n), m((n + 127) >> 7), adj_(n * m) {}
 void add_edge(int u, int v) { adj_[u * m + (v >> 7)]|= u128(1) << (v & 127), adj_[v * m + (u >> 7)]|= u128(1) << (u & 127); }
 std::vector<u16> get_max_clique() const { return calc(false); }
 std::vector<u16> get_max_independent_set() const { return calc(true); }
 std::vector<u16> get_min_vertex_cover() const {
  std::vector<u128> buf(m);
  for (u16 u: calc(true)) buf[u >> 7]|= u128(1) << (u & 127);
  std::vector<u16> ret;
  for (u16 i= 0; i < n; ++i)
   if (!((buf[i >> 7] >> (i & 127)) & 1)) ret.push_back(i);
  return ret;
 }
 template <class F> void enumerate_cliques(const F &out) const {
  std::vector<u128> buf;
  std::vector<u16> deg(n), clique, nbd;
  for (u16 u= n, cnt; u--; deg[u]= cnt) {
   int b= u * m, i= cnt= 0;
   for (u128 tmp; i < m; ++i) tmp= adj_[b + i], cnt+= __builtin_popcountll(tmp >> 64) + __builtin_popcountll(u64(tmp));
  }
  u16 nn;
  auto dfs= [&](auto dfs, u16 k) -> void {
   out(clique);
   for (u16 i= k; i < nn; ++i) {
    u16 v= nbd[i];
    auto b= adj_.cbegin() + v * m;
    bool all= 1;
    for (u16 j= 0; j < m; ++j) all&= (b[j] & buf[j]) == buf[j];
    if (all) clique.push_back(v), buf[v >> 7]|= u128(1) << (v & 127), dfs(dfs, i + 1), clique.pop_back(), buf[v >> 7]^= u128(1) << (v & 127);
   }
  };
  bool unused[n];
  std::fill_n(unused, n, 1);
  for (u16 _= n; _--;) {
   u16 v, min_d= n;
   for (u16 i= n; i--;)
    if (unused[i] && min_d > deg[i]) v= i, min_d= deg[i];
   nbd.clear(), clique= {v}, buf.assign(m, 0), buf[v >> 7]|= u128(1) << (v & 127);
   auto a= adj_.cbegin() + v * m;
   for (int i= 0; i < n; ++i)
    if ((a[i >> 7] >> (i & 127)) & unused[i]) nbd.push_back(i);
   nn= nbd.size(), dfs(dfs, 0), unused[v]= 0;
   for (auto u: nbd) --deg[u];
  }
 }
};
using namespace std;
signed main() {
 cin.tie(0);
 ios::sync_with_stdio(0);
 int n;
 cin >> n;
 int l[n], r[n];
 for (int i= 0; i < n; ++i) cin >> l[i] >> r[i], --l[i], --r[i];
 CliqueProblem g(n + n);
 for (int i= 0; i < n; ++i)
  for (int j= 0; j < n; ++j)
   if (l[i] < l[j] && l[j] < r[i] && r[i] < r[j]) g.add_edge(i, n + j);
 cout << g.get_max_independent_set().size() << '\n';
 return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 0ms
memory: 3552kb

input:

5
2 3
6 7
1 9
5 10
4 8

output:

9

result:

ok 1 number(s): "9"

Test #2:

score: -100
Time Limit Exceeded

input:

5000
7985 7987
42 46
1591 1593
407 410
6305 6306
1456 1457
5874 5875
7135 7137
7041 7046
6813 6815
8868 8871
665 666
4055 4056
9789 9796
7067 7068
4745 4746
5167 5171
1735 1737
2125 2128
1444 1447
1348 1352
6087 6090
1381 1384
1600 1601
5187 5190
2801 2802
8449 8450
9376 9377
4021 4024
2674 2676
490...

output:


result: