test/cpv_local/graph/best_theorem.bzoj3659m.cpp
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|---|---|---|---|
| 1 | // competitive-verifier: LOCALCASE test/cpv_local/_data/bzoj/3659m | ||
| 2 | |||
| 3 | #include "../../../src/fast/rsort32/lib.hpp" | ||
| 4 | #include "../../../src/graph/ds/alist/lib.hpp" | ||
| 5 | #include "../../../src/graph/ds/amat/lib.hpp" | ||
| 6 | #include "../../../src/graph/ds/info/lib.hpp" | ||
| 7 | #include "../../../src/graph/euler_trail/lib.hpp" | ||
| 8 | #include "../../../src/graph/kirchhoff/lib.hpp" | ||
| 9 | #include "../../../src/lalg/mat/ge/lib.hpp" | ||
| 10 | #include "../../../src/math/ds/mint/ms/lib.hpp" | ||
| 11 | |||
| 12 | using namespace tifa_libs; | ||
| 13 | using std::cin, std::cout; | ||
| 14 | using mint = mint_ms<1'000'003>; | ||
| 15 | vec<mint> fact(200'005); | ||
| 16 | |||
| 17 | 11 | int main() { | |
| 18 | 11 | fact[0] = 1; | |
| 19 |
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2200055 | flt_ (u32, i, 1, (u32)fact.size()) fact[i] = fact[i - 1] * i; |
| 20 | |||
| 21 | u32 t; | ||
| 22 |
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11 | cin >> t; |
| 23 |
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53 | while (t--) { |
| 24 | u32 n; | ||
| 25 |
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42 | cin >> n; |
| 26 | 42 | alist<void, degin_tag, degout_tag, arc_cnt_tag> g(n); | |
| 27 |
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1415 | for (u32 i = 0, s; i < n; ++i) { |
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1373 | cin >> s; |
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9111996 | for (u32 j = 0, x; j < s; ++j) (cin >> x), g.add_arc(i, x - 1); |
| 30 | } | ||
| 31 |
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42 | if (!g.esize()) { |
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1 | cout << "1\n"; |
| 33 | 1 | continue; | |
| 34 | } | ||
| 35 |
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41 | if (!is_eulerian(g) || !g.dout[0]) { |
| 36 |
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9 | cout << "0\n"; |
| 37 | 9 | continue; | |
| 38 | } | ||
| 39 |
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32 | vecb vis(n); |
| 40 | 1326 | auto f = [&](auto&& f, u32 x) -> void { | |
| 41 |
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9111907 | for (auto v : g[x]) |
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9110581 | if (!vis[v]) vis[v] = 1, f(f, v); |
| 43 | 1326 | }; | |
| 44 |
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32 | vis[0] = 1, f(f, 0); |
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32 | vecu ids(n, -1_u32), inv_ids; |
| 46 | 32 | u32 cnt_ids = 0; | |
| 47 |
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1370 | flt_ (u32, i, 0, n) |
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1338 | if (vis[i]) ids[i] = cnt_ids++, inv_ids.push_back(i); |
| 49 | 32 | amat<mint> mat(cnt_ids); | |
| 50 |
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1358 | flt_ (u32, id, 0, cnt_ids) { |
| 51 | 1326 | auto& tos = g[inv_ids[id]]; | |
| 52 |
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1326 | if (tos.empty()) continue; |
| 53 | 1326 | ::sort(tos); | |
| 54 | 1326 | u32 cnt = 1, pre = tos[0]; | |
| 55 |
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9110581 | flt_ (u32, j, 1, (u32)tos.size()) |
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9109255 | if (tos[j] != pre) { |
| 57 | 102239 | mat.add_arc(id, ids[pre], cnt), pre = tos[j], cnt = 1; | |
| 58 | 9007016 | } else ++cnt; | |
| 59 | 1326 | mat.add_arc(id, ids[pre], cnt); | |
| 60 | } | ||
| 61 | 232480 | auto is_0 = [](cT_(mint) x) { return x.val() == 0; }; | |
| 62 | 32 | auto ge = [&](matrix<mint>& A, bool clear_u) { return ge_mat<mint, decltype(is_0), true>(A, is_0, clear_u); }; | |
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32 | mint ans = kirchhoff<true>(mat, ids[0], ge) * fact[g.dout[inv_ids[0]]]; |
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1326 | flt_ (u32, i, 1, cnt_ids) ans *= fact[g.dout[inv_ids[i]] - 1]; |
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32 | cout << ans << '\n'; |
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42 | } |
| 67 | 11 | } | |
| 68 |