結果
| 問題 | No.5007 Steiner Space Travel | 
| コンテスト | |
| ユーザー |  | 
| 提出日時 | 2022-07-30 17:05:53 | 
| 言語 | PyPy3 (7.3.15) | 
| 結果 | 
                                AC
                                 
                             | 
| 実行時間 | 974 ms / 1,000 ms | 
| コード長 | 2,097 bytes | 
| コンパイル時間 | 246 ms | 
| 実行使用メモリ | 85,892 KB | 
| スコア | 4,771,540 | 
| 最終ジャッジ日時 | 2022-07-30 17:06:26 | 
| 合計ジャッジ時間 | 31,932 ms | 
| ジャッジサーバーID (参考情報) | judge15 / judge11 | 
| 純コード判定しない問題か言語 | 
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| ファイルパターン | 結果 | 
|---|---|
| other | AC * 30 | 
ソースコード
import sys
import time
import random
from heapq import heapify, heappush, heappop
input = lambda: sys.stdin.readline().rstrip()
#  -----------------------  #
n, m = map(int, input().split())
ab = [tuple(map(int, input().split())) for _ in range(n)]
ab_set = set(ab)
ALP = 5
LIMIT = 0.85
START = time.time()
def calc_score(root):
  ans = 0
  E = []
  for i in range(1, n):
    u, v = root[i][1]-1, root[i-1][1]-1
    tmp = (ab[u][0] - ab[v][0])**2 + (ab[u][1] - ab[v][1])**2
    heappush(E, (tmp, i))
    if len(E) > 8:
      heappop(E)
    ans += ALP * ALP * tmp
  v = root[-1][1]
  tmp = (ab[0][0] - ab[v][0])**2 + (ab[0][1] - ab[v][1])**2
  ans += ALP * ALP * tmp
  heappush(E, (tmp, n))
  if len(E) > 8:
    heappop(E)
  stations = []
  E.sort(key=lambda x: x[1])
  for c,i in E:
    if i == n:
      v = root[-1][1]-1
      stations.append(((ab[0][0] + ab[v][0])//2, (ab[0][1] + ab[v][1])//2))
      ans -= c * ALP * ALP
      ans += c * ALP
    else:
      u, v = root[i][1]-1, root[i-1][1]-1
      stations.append(((ab[u][0] + ab[v][0])//2, (ab[u][1] + ab[v][1])//2))
      ans -= c * ALP * ALP
      ans += c * ALP
  for i in range(8):
    if E[i][1] + i > len(root):
      root.append((E[i][1]+i, (2, i+1, 0)))
    else:
      root.insert(E[i][1]+i, (2, i+1, 0))
  return root, stations, ans
def make_stations():
  stations = []
  return stations
def make_root():
  A = [(1, i, ab[i-1]) for i in range(1, n+1)]
  C = A[1:]
  c = []
  d = random.randint(80, 600)
  for i in (range(1000//d+2)):
    for j in (range(1000//d+2)):
      tmp = []
      for k in C:
        if d*i <= k[2][0] <= d*(i+1) and d*j <= k[2][1] <= d*(j+1):
          tmp.append(k)
      for t in tmp:
        C.remove(t) 
      tmp.sort(key=lambda x: x[2])
      c.extend(tmp)
  return A[:1] + c
vestscore = float('inf')
st, ro = [], []
while time.time() - START < LIMIT:
  root = make_root()
  root, stations, score = calc_score(root)
  if score < vestscore:
    vestscore = score
    st = stations[:]
    ro = root[:]
for i,j in st:
  print(i, j)
print(len(ro)+1)
for i,j,_ in ro:
  print(i, j)
print(1, 1)
            
            
            
        