結果

問題 No.3087 University Coloring
ユーザー lif4635
提出日時 2025-04-04 21:51:30
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 872 ms / 2,000 ms
コード長 5,236 bytes
コンパイル時間 388 ms
コンパイル使用メモリ 82,656 KB
実行使用メモリ 108,816 KB
最終ジャッジ日時 2025-04-04 21:52:07
合計ジャッジ時間 23,873 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
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ファイルパターン 結果
sample AC * 3
other AC * 33
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 # 

# input
import sys
input = sys.stdin.readline
II = lambda : int(input())
MI = lambda : map(int, input().split())
LI = lambda : [int(a) for a in input().split()]
SI = lambda : input().rstrip()
LLI = lambda n : [[int(a) for a in input().split()] for _ in range(n)]
LSI = lambda n : [input().rstrip() for _ in range(n)]
MI_1 = lambda : map(lambda x:int(x)-1, input().split())
LI_1 = lambda : [int(a)-1 for a in input().split()]

def graph(n:int, m:int, dir:bool=False, index:int=-1) -> list[set[int]]:
    edge = [set() for i in range(n+1+index)]
    for _ in range(m):
        a,b = map(int, input().split())
        a += index
        b += index
        edge[a].add(b)
        if not dir:
            edge[b].add(a)
    return edge

def graph_w(n:int, m:int, dir:bool=False, index:int=-1) -> list[set[tuple]]:
    edge = [set() for i in range(n+1+index)]
    for _ in range(m):
        a,b,c = map(int, input().split())
        a += index
        b += index
        edge[a].add((b,c))
        if not dir:
            edge[b].add((a,c))
    return edge

mod = 998244353
inf = 1001001001001001001
ordalp = lambda s : ord(s)-65 if s.isupper() else ord(s)-97
ordallalp = lambda s : ord(s)-39 if s.isupper() else ord(s)-97
yes = lambda : print("Yes")
no = lambda : print("No")
yn = lambda flag : print("Yes" if flag else "No")
def acc(a:list[int]):
    sa = [0]*(len(a)+1)
    for i in range(len(a)):
        sa[i+1] = a[i] + sa[i]
    return sa

prinf = lambda ans : print(ans if ans < 1000001001001001001 else -1)
alplow = "abcdefghijklmnopqrstuvwxyz"
alpup = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
alpall = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ"
URDL = {'U':(-1,0), 'R':(0,1), 'D':(1,0), 'L':(0,-1)}
DIR_4 = [[-1,0],[0,1],[1,0],[0,-1]]
DIR_8 = [[-1,0],[-1,1],[0,1],[1,1],[1,0],[1,-1],[0,-1],[-1,-1]]
DIR_BISHOP = [[-1,1],[1,1],[1,-1],[-1,-1]]
prime60 = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59]
sys.set_int_max_str_digits(0)
sys.setrecursionlimit(10**6)
# import pypyjit
# pypyjit.set_param('max_unroll_recursion=-1')

from collections import defaultdict,deque
from heapq import heappop,heappush
from bisect import bisect_left,bisect_right
DD = defaultdict
BSL = bisect_left
BSR = bisect_right

class BIT:
    def __init__(self, n):
        self.n = n
        self.data = [0]*(n+1)
    
    def build(self, arr):
        for i,a in enumerate(arr):
            self.data[i+1] = a
        for i in range(1, self.n+1):
            if i + (i&-i) <= self.n:
                self.data[i + (i&-i)] += self.data[i]
    
    def add(self, p, x):
        p += 1
        while p <= self.n:
            self.data[p] += x
            p += p& -p
    
    def sum0(self, r):
        s = 0
        while r:
            s += self.data[r]
            r -= r& -r
        return s
    
    def sum(self, l, r):
        s = 0
        while r:
            s += self.data[r]
            r -= r& -r
        while l:
            s -= self.data[l]
            l -= l& -l
        return s
    
    def get(self, p):
        return self.sum0(p+1) - self.sum0(p)

    def bisect_left(self, w):
        """
        not valify
        sum_{0 <= i < x} >= w となる 最小のx
        """
        if w <= 0: return 0
        x = 0
        r = 1 << (self.n-1).bit_length()
        while r:
            if x + r < self.n and self.data[x + r] < w:
                w -= self.data[x + r]
                x += r
            r >>= 1
        return x + 1
    
    def bisect_right(self, w):
        """
        sum_{0 <= i < x} <= w となる 最大のx
        """
        if w < 0: return -1
        x = 0
        r = 1 << (self.n-1).bit_length()
        while r:
            if x + r < self.n and self.data[x + r] <= w:
                w -= self.data[x + r]
                x += r
            r >>= 1
        return x

    def __str__(self):
        return str([self.get(i) for i in range(self.n)])

class DSU:
    def __init__(self, n, fix_leader = False):
        self.n = n
        self.par = [*range(n)]
        self.siz = [1] * n
        self.fix_leader = fix_leader

    def leader(self, a):
        while self.par[a] != a:
            self.par[a] = a = self.par[self.par[a]]
        return a

    def merge(self, a, b):
        a = self.leader(a)
        b = self.leader(b)
        if a == b: return a
        if self.fix_leader or self.siz[a] > self.siz[b]:
            self.siz[a] += self.siz[b]
            self.par[b] = a
            return a
        else:
            self.siz[b] += self.siz[a]
            self.par[a] = b
            return b

    def same(self, a, b):
        return self.leader(a) == self.leader(b)
    
    def size(self, a):
        return self.siz[self.leader(a)]
    
    def groups(self):
        res = [[] for i in range(self.n)]
        for i in range(self.n):
            res[self.leader(i)].append(i)
        res2 = []
        for i in range(self.n):
            if len(res[i]) > 0:
                res2.append(res[i])
        return res2

n,m = MI()

edges = []
for i in range(m):
    a,b,c = MI()
    edges.append((c,a-1,b-1))
# 最長のパス -> 最長全域木？

ans = 0
uf = DSU(n)
edges.sort(reverse=True)
for c,a,b in edges:
    if uf.same(a,b):
        continue
    ans += c
    uf.merge(a, b)

print(ans * 2)
0