結果

問題 No.1640 簡単な色塗り
ユーザー NatsubiSoganNatsubiSogan
提出日時 2021-08-06 22:49:04
言語 Python3
(3.12.2 + numpy 1.26.4 + scipy 1.12.0)
結果
AC  
実行時間 1,925 ms / 2,000 ms
コード長 2,139 bytes
コンパイル時間 447 ms
コンパイル使用メモリ 11,188 KB
実行使用メモリ 102,460 KB
最終ジャッジ日時 2023-09-12 02:48:09
合計ジャッジ時間 51,726 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 19 ms
13,336 KB
testcase_01 AC 20 ms
13,432 KB
testcase_02 AC 19 ms
8,908 KB
testcase_03 AC 19 ms
8,784 KB
testcase_04 AC 1,027 ms
85,868 KB
testcase_05 AC 1,147 ms
102,460 KB
testcase_06 AC 19 ms
8,876 KB
testcase_07 AC 20 ms
8,784 KB
testcase_08 AC 20 ms
8,792 KB
testcase_09 AC 19 ms
8,944 KB
testcase_10 AC 926 ms
50,268 KB
testcase_11 AC 738 ms
44,544 KB
testcase_12 AC 626 ms
37,552 KB
testcase_13 AC 1,362 ms
76,924 KB
testcase_14 AC 1,464 ms
76,956 KB
testcase_15 AC 453 ms
31,212 KB
testcase_16 AC 642 ms
34,816 KB
testcase_17 AC 1,092 ms
58,764 KB
testcase_18 AC 95 ms
13,804 KB
testcase_19 AC 627 ms
37,428 KB
testcase_20 AC 844 ms
49,144 KB
testcase_21 AC 643 ms
43,580 KB
testcase_22 AC 70 ms
11,796 KB
testcase_23 AC 964 ms
51,620 KB
testcase_24 AC 234 ms
19,848 KB
testcase_25 AC 623 ms
37,848 KB
testcase_26 AC 1,097 ms
55,044 KB
testcase_27 AC 442 ms
30,272 KB
testcase_28 AC 1,356 ms
69,068 KB
testcase_29 AC 1,093 ms
54,652 KB
testcase_30 AC 210 ms
19,560 KB
testcase_31 AC 1,875 ms
94,176 KB
testcase_32 AC 1,408 ms
73,860 KB
testcase_33 AC 979 ms
56,360 KB
testcase_34 AC 1,178 ms
70,820 KB
testcase_35 AC 911 ms
58,500 KB
testcase_36 AC 227 ms
20,076 KB
testcase_37 AC 279 ms
25,444 KB
testcase_38 AC 1,590 ms
80,728 KB
testcase_39 AC 542 ms
38,244 KB
testcase_40 AC 553 ms
36,752 KB
testcase_41 AC 1,175 ms
64,644 KB
testcase_42 AC 637 ms
43,968 KB
testcase_43 AC 724 ms
48,192 KB
testcase_44 AC 677 ms
47,440 KB
testcase_45 AC 502 ms
36,448 KB
testcase_46 AC 220 ms
21,780 KB
testcase_47 AC 138 ms
17,264 KB
testcase_48 AC 1,543 ms
88,644 KB
testcase_49 AC 64 ms
12,184 KB
testcase_50 AC 19 ms
8,784 KB
testcase_51 AC 20 ms
8,940 KB
testcase_52 AC 1,925 ms
91,432 KB
testcase_53 AC 1,838 ms
91,564 KB
07_evil_01.txt TLE -
07_evil_02.txt TLE -
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 #

import sys
sys.setrecursionlimit(10 ** 7)
input = sys.stdin.buffer.readline
#Union-Find
class UnionFind():
    def __init__(self, n: int) -> None:
        self.n = n
        self.par = list(range(self.n))
        self.rank = [1] * self.n

    def find(self, x: int) -> int:
        if self.par[x] == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    def unite(self, x: int, y: int) -> None:
        p = self.find(x)
        q = self.find(y)
        if p == q:
            return None
        if p > q:
            p, q = q, p
        self.rank[p] += self.rank[q]
        self.par[q] = p

    def same(self, x: int, y: int) -> bool:
        return self.find(x) == self.find(y)

    def size(self, x: int) -> int:
        return self.rank[x]

n = int(input())
G = [[] for i in range(n)]
UF = UnionFind(n)
from collections import defaultdict
ed_ind = defaultdict(list)
for i in range(n):
    a, b = map(int, input().split())
    if a > b: a, b = b, a
    G[a - 1].append(b - 1)
    G[b - 1].append(a - 1)
    UF.unite(a - 1, b - 1)
    ed_ind[(a - 1, b - 1)].append(i)
done = [0] * n
visit = [0] * n
used = defaultdict(int)
def dfs(v):
    visit[v] = 1
    for u in G[v]:
        if not visit[u]: 
            dfs(u)
            used[(min(u, v), max(u, v))] += 1
for i in range(n):
    dfs(i)
def dfs2(v):
    for u in G[v]:
        if used[(min(u, v), max(u, v))] > 0:
            for i in ed_ind[(min(u, v), max(u, v))]:
                if ans[i] == 0:
                    ans[i] = u + 1
                    dfs2(u)
                    break
ans = [0] * n
for i in range(n):
    if not done[UF.find(i)]:
        for v in G[i]:
            if used[(min(v, i), max(v, i))] < len(ed_ind[(min(v, i), max(v, i))]):
                for x in ed_ind[(min(v, i), max(v, i))]:
                    if ans[x] == 0: 
                        ans[x] = i + 1
                        dfs2(i)
                        break
                done[UF.find(i)] = 1
                break
if any(i == 0 for i in ans) or len(set(ans)) != n: exit(print("No"))
print("Yes")
print(*ans, sep="\n")
0