結果

問題 No.399 動的な領主
ユーザー zimphazimpha
提出日時 2019-10-27 16:30:00
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 80 ms / 2,000 ms
コード長 3,643 bytes
コンパイル時間 2,136 ms
コンパイル使用メモリ 209,296 KB
実行使用メモリ 12,040 KB
最終ジャッジ日時 2023-10-12 22:53:09
合計ジャッジ時間 4,633 ms
ジャッジサーバーID
(参考情報)
judge11 / judge12
このコードへのチャレンジ(β)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
4,352 KB
testcase_01 AC 1 ms
4,348 KB
testcase_02 AC 1 ms
4,348 KB
testcase_03 AC 1 ms
4,352 KB
testcase_04 AC 2 ms
4,352 KB
testcase_05 AC 7 ms
4,352 KB
testcase_06 AC 76 ms
11,304 KB
testcase_07 AC 74 ms
11,276 KB
testcase_08 AC 77 ms
11,336 KB
testcase_09 AC 80 ms
11,340 KB
testcase_10 AC 2 ms
4,352 KB
testcase_11 AC 7 ms
4,352 KB
testcase_12 AC 63 ms
11,804 KB
testcase_13 AC 62 ms
12,040 KB
testcase_14 AC 54 ms
11,320 KB
testcase_15 AC 55 ms
11,344 KB
testcase_16 AC 57 ms
11,496 KB
testcase_17 AC 75 ms
11,424 KB
testcase_18 AC 72 ms
11,432 KB
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 #

#include "bits/stdc++.h"
using namespace std;
#define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i))
#define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i))
#define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i))
static const int INF = 0x3f3f3f3f; static const long long INFL = 0x3f3f3f3f3f3f3f3fLL;
typedef vector<int> vi; typedef pair<int, int> pii; typedef vector<pair<int, int> > vpii; typedef long long ll;
template<typename T, typename U> static void amin(T &x, U y) { if(y < x) x = y; }
template<typename T, typename U> static void amax(T &x, U y) { if(x < y) x = y; }


vector<int> t_parent;
vi t_ord;

void tree_getorder(const vector<vi> &g, int root) {
	int n = g.size();
	t_parent.assign(n, -1);
	t_ord.clear();

	vector<int> stk; stk.push_back(root);
	while(!stk.empty()) {
		int i = stk.back(); stk.pop_back();
		t_ord.push_back(i);
		for(int j = (int)g[i].size() - 1; j >= 0; j --) {
			int c = g[i][j];
			if(t_parent[c] == -1 && c != root)
				stk.push_back(c);
			else
				t_parent[i] = c;
		}
	}
}

using uint32 = unsigned int;

class SchieberVishkinLCA {
public:
  void build(const std::vector<int> &preorder, const std::vector<int> &parents, int root) {
    const int n = preorder.size();
    indices.resize(n);
    ascendant.resize(n);
    head.resize(n);

    for (int i = 0; i < n; ++i) indices[preorder[i]] = i + 1;
    inlabel.assign(indices.begin(), indices.end());
    for (int i = n - 1; i > 0; --i) {
      int v = preorder[i], p = parents[v];
      if (lowbit(inlabel[p]) < lowbit(inlabel[v])) {
        inlabel[p] = inlabel[v];
      }
    }

    ascendant[root] = 0;
    for (int i = 1; i < n; ++i) {
      int v = preorder[i], p = parents[v];
      ascendant[v] = ascendant[p] | lowbit(inlabel[v]);
    }

    head[0] = root;
    for (int i = 1; i < n; ++i) {
      int v = preorder[i], p = parents[v];
      if (inlabel[v] != inlabel[p]) head[indices[v] - 1] = p;
      else head[indices[v] - 1] = head[indices[p] - 1];
    }
  }

  int query(int u, int v) const {
    uint32 Iv = inlabel[v], Iu = inlabel[u];
		uint32 hIv = lowbit(Iv), hIu = lowbit(Iu);
		uint32 mask = highbit((Iv ^ Iu) | hIv | hIu);
		uint32 j = lowbit(ascendant[v] & ascendant[u] & ~mask);
		int x, y;
		if (j == hIv) x = v;
		else {
			mask = highbit(ascendant[v] & (j - 1));
			x = head[(indices[v] & ~mask | (mask + 1)) - 1];
		}
		if (j == hIu) y = u;
		else {
			mask = highbit(ascendant[u] & (j - 1));
			y = head[(indices[u] & ~mask | (mask + 1)) - 1];
		}
		return indices[x] < indices[y] ? x : y;
  }

private:
  static uint32 lowbit(uint32 x) {
    return x & ~x + 1; // x & (-x) or x & (x ^ (x - 1))
  }
  static uint32 highbit(uint32 v) {
    v |= v >> 1; v |= v >> 2; v |= v >> 4; v |= v >> 8; v |= v >> 16;
    return v >> 1;
  }

  std::vector<uint32> indices;
  std::vector<uint32> inlabel;
  std::vector<uint32> ascendant;
  std::vector<int> head;
};

int main() {
	int N;
	while(~scanf("%d", &N)) {
		vector<vector<int> > g(N);
		for(int i = 0; i < N - 1; ++ i) {
			int u, v;
			scanf("%d%d", &u, &v), -- u, -- v;
			g[u].push_back(v);
			g[v].push_back(u);
		}
		tree_getorder(g, 0);
		SchieberVishkinLCA lca;
		lca.build(t_ord, t_parent, 0);
		vector<int> cnt(N);
		int Q;
		scanf("%d", &Q);
		rep(ii, Q) {
			int A; int B;
			scanf("%d%d", &A, &B), -- A, -- B;
			int C = lca.query(A, B);
			++ cnt[A];
			++ cnt[B];
			if(C != 0) -- cnt[t_parent[C]];
			-- cnt[C];
		}
		for(int ix = (int)t_ord.size() - 1; ix > 0; -- ix) {
			int i = t_ord[ix], p = t_parent[i];
			cnt[p] += cnt[i];
		}
		ll ans = 0;
		rep(i, N) {
			int n = cnt[i];
			ans += (ll)n * (n + 1) / 2;
		}
		printf("%lld\n", ans);
	}
	return 0;
}
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