結果
問題 |
No.2160 みたりのDominator
|
ユーザー |
👑 |
提出日時 | 2022-12-11 03:36:04 |
言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 125 ms / 2,000 ms |
コード長 | 5,587 bytes |
コンパイル時間 | 1,297 ms |
コンパイル使用メモリ | 111,720 KB |
実行使用メモリ | 31,484 KB |
最終ジャッジ日時 | 2024-10-15 03:05:20 |
合計ジャッジ時間 | 7,734 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge2 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 93 |
ソースコード
#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; } struct Scc { int n; vector<int> as, bs; vector<int> ptr, zu, us; int l; vector<int> ids; int operator[](int u) const { return ids[u]; } explicit Scc(int n_) : n(n_), as(), bs(), l(-1) {} void ae(int u, int v) { assert(0 <= u); assert(u < n); assert(0 <= v); assert(v < n); as.push_back(u); bs.push_back(v); } void dfs0(int u) { if (!ids[u]) { ids[u] = -1; for (int i = ptr[u]; i < ptr[u + 1]; ++i) dfs0(zu[i]); us.push_back(u); } } void dfs1(int u) { if (!~ids[u]) { ids[u] = l; for (int i = ptr[u]; i < ptr[u + 1]; ++i) dfs1(zu[i]); } } void run() { const int m = as.size(); ptr.resize(n + 2); zu.resize(m); for (int u = 0; u < n + 2; ++u) ptr[u] = 0; for (int i = 0; i < m; ++i) ++ptr[as[i] + 2]; for (int u = 2; u < n + 1; ++u) ptr[u + 1] += ptr[u]; for (int i = 0; i < m; ++i) zu[ptr[as[i] + 1]++] = bs[i]; ids.assign(n, 0); us.clear(); for (int u = 0; u < n; ++u) dfs0(u); for (int u = 0; u < n + 2; ++u) ptr[u] = 0; for (int i = 0; i < m; ++i) ++ptr[bs[i] + 2]; for (int u = 2; u < n + 1; ++u) ptr[u + 1] += ptr[u]; for (int i = 0; i < m; ++i) zu[ptr[bs[i] + 1]++] = as[i]; l = 0; for (int j = n; --j >= 0; ) if (!~ids[us[j]]) { dfs1(us[j]); ++l; } } vector<vector<int>> group() const { assert(~l); vector<vector<int>> uss(l); for (int u = 0; u < n; ++u) uss[ids[u]].push_back(u); return uss; } }; //////////////////////////////////////////////////////////////////////////////// int N[3], M; vector<int> U, V; int main() { for (; ~scanf("%d%d%d%d", &N[0], &N[1], &N[2], &M); ) { U.resize(M); V.resize(M); for (int m = 0; m < M; ++m) { scanf("%d%d", &U[m], &V[m]); } auto id = [&](int h, int x) -> int { assert(0 <= x); assert(x <= N[h] + 1); if (x == 0) { return N[0] + N[1] + N[2] + 1; } if (x == N[h] + 1) { return N[0] + N[1] + N[2] + 2; } switch (h) { case 0: return x; case 1: return N[0] + x; case 2: return N[0] + N[1] + x; default: assert(false); } }; // edge (u, v) means u: t-side ==> v: t-side Scc scc(N[0] + N[1] + N[2] + 3); for (int h = 0; h < 3; ++h) { for (int x = 0; x <= N[h]; ++x) { scc.ae(id(h, x), id(h, x + 1)); } } for (int m = 0; m < M; ++m) { scc.ae(U[m], V[m]); scc.ae(V[m], U[m]); } scc.run(); vector<int> lss[3], rss[3]; for (int h = 0; h < 3; ++h) { lss[h].assign(scc.l, N[h] + 2); rss[h].assign(scc.l, -1); for (int x = 0; x <= N[h] + 1; ++x) { const int a = scc[id(h, x)]; chmin(lss[h][a], x); chmax(rss[h][a], x); } } vector<int> good[3]; for (int h = 0; h < 3; ++h) { good[h].assign(N[h] + 1, 1); } vector<int> as; for (int a = 0; a < scc.l; ++a) { int hsLen = 0; int hs[3]; for (int h = 0; h < 3; ++h) { if (lss[h][a] <= rss[h][a]) { hs[hsLen++] = h; } } if (hsLen == 1) { const int h = hs[0]; for (int x = lss[h][a]; x < rss[h][a]; ++x) { good[h][x] = 0; } } else { as.push_back(a); } } vector<int> sumss[3]; for (int h = 0; h < 3; ++h) { sumss[h].assign(N[h] + 2, 0); for (int x = 0; x < N[h] + 1; ++x) { sumss[h][x + 1] = sumss[h][x] + good[h][x]; } } const int asLen = as.size(); vector<int> head[3], tail[3]; for (int h = 0; h < 3; ++h) { head[h].resize(asLen + 1); head[h][0] = 0; for (int i = 0; i < asLen; ++i) { const int a = as[i]; head[h][i + 1] = (lss[h][a] <= rss[h][a]) ? rss[h][a] : head[h][i]; } tail[h].resize(asLen + 1); tail[h][asLen] = N[h] + 1; for (int i = asLen; --i >= 0; ) { const int a = as[i]; tail[h][i] = (lss[h][a] <= rss[h][a]) ? lss[h][a] : tail[h][i + 1]; } // cerr<<"head["<<h<<"] = "<<head[h]<<endl; // cerr<<"tail["<<h<<"] = "<<tail[h]<<endl; } Int ans = 0; for (int i = 1; i < asLen; ++i) { // cut between as[i - 1] and as[i] Int prod = 1; for (int h = 0; h < 3; ++h) { prod *= (sumss[h][tail[h][i]] - sumss[h][head[h][i]]); } ans += prod; } printf("%lld\n", ans); } return 0; }