結果

問題 No.1813 Magical Stones
ユーザー hashiryo
提出日時 2023-01-25 18:35:14
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 172 ms / 2,000 ms
コード長 7,599 bytes
コンパイル時間 2,514 ms
コンパイル使用メモリ 214,728 KB
最終ジャッジ日時 2025-02-10 06:47:15
ジャッジサーバーID
(参考情報)
judge5 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 40
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#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 &v){if(!v)os<<"0";__int128_t tmp=v<0?(os<<"-",-v):v;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 &v){if(!v)os<<"0";__uint128_t tmp=v;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(x) (void(0))
#define debugArray(x,n) (void(0))
#define debugMatrix(x,h,w) (void(0))
// clang-format on
#ifdef __LOCAL
// clang-format off
#undef checkpoint
#undef debug
#undef debugArray
#undef debugMatrix
template<class T, class U>std::ostream &operator<<(std::ostream&os,const std::pair<T,U>&x){return os<<"("<<x.first<<", "<<x.second<<")";}
template<typename T>std::ostream &operator<<(std::ostream&os,const std::vector<T>&vec){os<<'[';for(int _=0,__= vec.size();_<__;++_)os<<(_ ?", ":""
    )<<vec[_];return os<<']';}
template<typename T>std::ostream &operator<<(std::ostream&os,const std::set<T>&s){os<<'{';int _=0;for(const auto &x:s)os<<(_++ ? ", " : "")<<x;
    return os << '}';}
template<typename T,std::size_t _Nm>std::ostream&operator<<(std::ostream &os,const std::array<T, _Nm> &arr) {os<<'['<<arr[0];for(std::size_t _=1;_
    <_Nm;++_)os<<", "<<arr[_];return os<<']';}
template<class Tup,std::size_t... I>void print(std::ostream&os,const Tup &x,std::index_sequence<I...>){(void)(int[]){(os<<std::get<I>(x)<<", ",0)...}
    ;}
template<class... Args>std::ostream &operator<<(std::ostream&os,const std::tuple<Args...> &x) {static constexpr std::size_t N = sizeof...(Args);os<<"
    (";if constexpr(N>=2)print(os,x,std::make_index_sequence<N-1>());return os<<std::get<N-1>(x)<<")";}
const std::string COLOR_RESET="\033[0m",BRIGHT_GREEN="\033[1;32m",BRIGHT_RED="\033[1;31m",BRIGHT_CYAN="\033[1;36m",NORMAL_CROSSED="\033[0;9;37m"
    ,ITALIC="\033[3m",BOLD="\033[1m",RED_BACKGROUND="\033[1;41m",NORMAL_FAINT="\033[0;2m";
#define func_LINE_FILE NORMAL_FAINT<<" in "<<BOLD<<__func__<<NORMAL_FAINT<<ITALIC<<" (L"<<__LINE__<<") "<< __FILE__<<COLOR_RESET
#define checkpoint() std::cerr<<BRIGHT_RED<<"< check point! >"<<func_LINE_FILE<<'\n'
#define debug(x) std::cerr<<BRIGHT_CYAN<<#x<<COLOR_RESET<<" = "<<(x)<<func_LINE_FILE<<'\n'
#define debugArray(x, n) do{std::cerr<<BRIGHT_CYAN<<#x<<COLOR_RESET<<" = ["<<x[0];for(int _=1;_<(int)(n);++_)std::cerr<<", "<<x[_];std::cerr<<"]"
    <<func_LINE_FILE<<'\n';}while(0)
#define debugMatrix(x, h, w) do{std::cerr<<BRIGHT_CYAN<<#x<<"\n"<<COLOR_RESET<<"= ";for(int _=0;(_)<(int)(h);++_){std::cerr<<((_?" [":"[["));for
    (int __=0;__<(int)(w);++__)std::cerr<<((__?", ":""))<<x[_][__];std::cerr<<"]"<<(_+1==(int)(h)?"]":",\n");}std::cerr<<func_LINE_FILE<<'\n';}while
    (0)
#endif
// clang-format on
class StronglyConnectedComponents {
std::vector<std::vector<int>> adj, rev;
public:
StronglyConnectedComponents(int n): adj(n), rev(n) {}
void add_edge(int src, int dst) { adj[src].push_back(dst), rev[dst].push_back(src); }
std::vector<std::vector<int>> get_block() const {
const int n= adj.size();
std::vector<std::vector<int>> blk;
std::vector<int> ord(n), par(n, -2), dat(n, 0);
int k= n;
for (int s= 0; s < n; ++s)
if (par[s] == -2) {
par[s]= -1;
for (int p= s; p >= 0;) {
if (dat[p] == (int)adj[p].size()) {
ord[--k]= p, p= par[p];
continue;
}
if (int q= adj[p][dat[p]++]; par[q] == -2) par[q]= p, p= q;
}
}
dat.assign(n, 1);
for (int s: ord)
if (dat[s]) {
blk.resize(++k), dat[s]= 0, blk.back().push_back(s);
for (int i= 0; i < (int)blk.back().size(); ++i)
for (int v: rev[blk.back()[i]])
if (dat[v]) dat[v]= 0, blk.back().push_back(v);
}
return blk;
}
std::vector<int> get_index(const std::vector<std::vector<int>> &blk) const {
std::vector<int> index(adj.size());
for (int i= blk.size(); i--;)
for (int v: blk[i]) index[v]= i;
return index;
}
std::vector<std::vector<int>> get_dag(const std::vector<int> &index, int num) const {
std::vector<std::vector<int>> dag(num);
std::vector<std::array<int, 2>> es;
for (int i= adj.size(); i--;)
for (int j: adj[i])
if (int u= index[i], v= index[j]; u != v) es.push_back({u, v});
std::sort(es.begin(), es.end()), es.erase(std::unique(es.begin(), es.end()), es.end());
for (auto [u, v]: es) dag[u].push_back(v);
return dag;
}
};
class TwoSatisfiability {
int sz;
StronglyConnectedComponents scc;
public:
TwoSatisfiability(int n): sz(n), scc(2 * n) {}
void add_if(int u, int v) { scc.add_edge(u, v), scc.add_edge(neg(v), neg(u)); } // u -> v <=> !v -> !u
void add_or(int u, int v) { add_if(neg(u), v); } // u or v <=> !u -> v
void add_nand(int u, int v) { add_if(u, neg(v)); } // u nand v <=> u -> !v
void set_true(int u) { scc.add_edge(neg(u), u); } // u <=> !u -> u
void set_false(int u) { scc.add_edge(u, neg(u)); } // !u <=> u -> !u
inline int neg(int x) const { return x >= sz ? x - sz : x + sz; }
std::vector<bool> solve() const {
std::vector<int> I= scc.get_index(scc.get_block());
std::vector<bool> ret(sz);
for (int i= 0; i < sz; i++) {
if (I[i] == I[neg(i)]) return {}; // no solution
ret[i]= I[i] > I[neg(i)];
}
return ret;
}
};
using namespace std;
namespace yosupo_scc {
signed main() {
cin.tie(0);
ios::sync_with_stdio(0);
int N, M;
cin >> N >> M;
StronglyConnectedComponents scc(N);
for (int i= 0; i < M; ++i) {
int a, b;
cin >> a >> b;
scc.add_edge(a, b);
}
auto ans= scc.get_block();
cout << ans.size() << '\n';
for (const auto &blk: ans) {
cout << blk.size();
for (int v: blk) cout << " " << v;
cout << '\n';
}
return 0;
}
}
namespace yukicoder1293 {
// https://yukicoder.me/problems/no/1293
signed main() {
cin.tie(0);
ios::sync_with_stdio(0);
int N, D, W;
cin >> N >> D >> W;
StronglyConnectedComponents scc(N + N);
for (int i= 0; i < D; ++i) {
int a, b;
cin >> a >> b;
--a, --b;
scc.add_edge(a, b), scc.add_edge(b, a);
}
for (int i= 0; i < W; ++i) {
int c, d;
cin >> c >> d;
c+= N - 1, d+= N - 1;
scc.add_edge(c, d), scc.add_edge(d, c);
}
for (int i= 0; i < N; ++i) scc.add_edge(i, i + N);
auto blk= scc.get_block();
int C= blk.size();
auto index= scc.get_index(blk);
auto dag= scc.get_dag(index, C);
long long dp[C];
fill_n(dp, C, 0);
for (int i= 0; i < N; ++i) ++dp[index[i]];
for (int i= 0; i < C; ++i)
for (int j: dag[i]) dp[j]+= dp[i];
long long ans= 0;
for (int i= 0; i < N; ++i) ans+= dp[index[i + N]] - 1;
cout << ans << '\n';
return 0;
}
}
namespace yukicoder1813 {
// https://yukicoder.me/problems/no/1813
signed main() {
cin.tie(0);
ios::sync_with_stdio(0);
int N, M;
cin >> N >> M;
StronglyConnectedComponents scc(N);
for (int i= 0; i < M; ++i) {
int A, B;
cin >> A >> B;
scc.add_edge(--A, --B);
}
auto blk= scc.get_block();
int C= blk.size();
if (C == 1) {
cout << 0 << '\n';
} else {
auto dag= scc.get_dag(scc.get_index(blk), C);
int cnt[2]= {0, 0};
bool st[C];
fill_n(st, C, true);
for (int i= 0; i < C; ++i) {
if (st[i]) ++cnt[0];
for (int j: dag[i]) st[j]= false;
if (!dag[i].size()) ++cnt[1];
}
cout << max(cnt[0], cnt[1]) << '\n';
}
return 0;
}
}
signed main() {
cin.tie(0);
ios::sync_with_stdio(0);
// yosupo_scc::main();
// yukicoder1293::main();
yukicoder1813::main();
return 0;
}
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