結果
問題 |
No.3031 曲面の向き付け
|
ユーザー |
![]() |
提出日時 | 2025-02-21 23:22:11 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 1,162 ms / 2,000 ms |
コード長 | 2,241 bytes |
コンパイル時間 | 517 ms |
コンパイル使用メモリ | 82,108 KB |
実行使用メモリ | 177,124 KB |
最終ジャッジ日時 | 2025-02-21 23:22:26 |
合計ジャッジ時間 | 14,545 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 4 |
other | AC * 29 |
ソースコード
class UnionFind(): def __init__(self, n): self.data = [-1 for i in range(n)] def find(self, x): stack = [] while self.data[x] >= 0: stack.append(x) x = self.data[x] while len(stack): y = stack.pop() self.data[y] = x return x def unite(self, x, y): x, y = self.find(x), self.find(y) if x == y: return if self.data[x] > self.data[y]: x, y = y, x self.data[x] += self.data[y] self.data[y] = x return def same(self, x, y): return self.find(x) == self.find(y) def size(self, x): return -self.data[self.find(x)] M = int(input()) B = 1000000000 S = set() V = [] for i in range(M): a, b, c = map(int, input().split()) S.add(a + B * b) S.add(a + B * c) S.add(b + B * c) V.append((a, b, c)) S = list(S) S.sort() d = {} for i in range(len(S)): d[S[i]] = i E = [[] for _ in range(len(S))] EE = [[] for _ in range(len(S))] GG = [[] for u in range(M)] uf = UnionFind(M) for u in range(M): a, b, c = V[u] j = d[a + B * b] if len(E[j]) + len(EE[j]) >= 2: print("NO") exit() if len(E[j]) == 1: v = E[j][0] GG[u].append(v) GG[v].append(u) if len(EE[j]) == 1: v = EE[j][0] uf.unite(u, v) E[j].append(u) j = d[b + B * c] if len(E[j]) + len(EE[j]) >= 2: print("NO") exit() if len(E[j]) == 1: v = E[j][0] GG[u].append(v) GG[v].append(u) if len(EE[j]) == 1: v = EE[j][0] uf.unite(u, v) E[j].append(u) j = d[a + B * c] if len(E[j]) + len(EE[j]) >= 2: print("NO") exit() if len(EE[j]) == 1: v = EE[j][0] GG[u].append(v) GG[v].append(u) if len(E[j]) == 1: v = E[j][0] uf.unite(u, v) EE[j].append(u) G = [[] for u in range(M)] for u in range(M): r = uf.find(u) for v in GG[u]: G[r].append(uf.find(v)) # 二部グラフ判定 color = [-1 for _ in range(M)] for u in range(M): if color[u] != -1: continue if uf.find(u) != u: continue stack = [u] color[u] = 0 while stack: v = stack.pop() for w in G[v]: if color[w] == -1: color[w] = color[v] ^ 1 stack.append(w) elif color[w] == color[v]: print("NO") exit() else: continue print("YES")