結果

問題 No.1226 I hate Robot Arms
ユーザー tyawanmusityawanmusi
提出日時 2020-08-29 18:22:41
言語 Python3
(3.12.2 + numpy 1.26.4 + scipy 1.12.0)
結果
WA  
実行時間 -
コード長 4,467 bytes
コンパイル時間 227 ms
コンパイル使用メモリ 11,648 KB
実行使用メモリ 19,648 KB
最終ジャッジ日時 2023-08-30 09:38:57
合計ジャッジ時間 4,310 ms
ジャッジサーバーID
(参考情報)
judge12 / judge14
このコードへのチャレンジ
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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
13,740 KB
testcase_01 WA -
testcase_02 TLE -
testcase_03 -- -
testcase_04 -- -
testcase_05 -- -
testcase_06 -- -
testcase_07 -- -
testcase_08 -- -
testcase_09 -- -
testcase_10 -- -
testcase_11 -- -
testcase_12 -- -
testcase_13 -- -
testcase_14 -- -
testcase_15 -- -
testcase_16 -- -
testcase_17 -- -
testcase_18 -- -
testcase_19 -- -
testcase_20 -- -
testcase_21 -- -
testcase_22 -- -
testcase_23 -- -
testcase_24 -- -
testcase_25 -- -
testcase_26 -- -
testcase_27 -- -
testcase_28 -- -
testcase_29 -- -
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 #

from math import cos, sin, radians
import sys
input = lambda: sys.stdin.readline().rstrip()

# 行列a*行列b
def matprod(a, b):
  n = len(a)
  l = len(b)
  m = len(b[0])
  return [[sum(a[i][k]*b[k][j]for k in range(l)) for j in range(m)]for i in range(n)]

# 行列a^n
def matpow(a, n):
  ans = [[i == j for j in range(len(a[0]))]for i in range(len(a))]
  d = a[:][:]
  while n != 0:
    if n & 1:
      ans = matprod(d, ans)
    d = matprod(d, d)
    n >>= 1
  return ans

# SegmentTree
class SegmentTree:

  def segp(self):print(self.seg)

  def __init__(self, n, p, unit, f, g, h):
    num = 2**((n-1).bit_length())
    seg = [unit]*(num*2)
    self.lazy = [None]*(num*2)
    for i in range(n):
      seg[num+i] = p[i]
    for i in range(num-1, 0, -1):
      seg[i] = f(seg[i << 1], seg[(i << 1)+1])
    self.num = num
    self.seg = seg
    self.unit = unit
    self.flag = False
    self.f = f
    self.g = g
    self.h = h

  def gindex(self, l, r):
    l += self.num
    r += self.num
    lm = (l//(l & -l)) >> 1
    rm = (r//(r & -r)) >> 1
    mm = max(lm, rm)
    r -= 1
    while l < r:
      if r <= rm:
        yield r
      if l <= lm:
        yield l
      l >>= 1
      r >>= 1
    while l:
      if l <= mm:
        yield l
      l >>= 1

  def propagates(self, ids):
    num = self.num
    g = self.g
    h = self.h
    for i in reversed(ids):
      v = self.lazy[i]
      if v is None:
        continue
      # ここ!!!!!!!!!!!!!
      # ここ!!!!!!!!!!!!!

      newv = v
      newv[1] -= 1

      # ここ!!!!!!!!!!!!!
      # ここ!!!!!!!!!!!!!
      if (i << 1) < num:
        self.lazy[i << 1] = h(self.lazy[i << 1], newv)
        self.lazy[(i << 1)+1] = h(self.lazy[(i << 1)+1], newv)
      self.seg[i << 1] = g(self.seg[i << 1], newv)
      self.seg[(i << 1)+1] = g(self.seg[(i << 1)+1], newv)
      self.lazy[i] = None

  def query(self, l, r):
    f = self.f
    if self.flag:
      *ids, = self.gindex(l, r)
      self.propagates(ids)
    ansl = ansr = self.unit
    l += self.num
    r += self.num-1
    if l == r:
      return self.seg[l]
    while l < r:
      if l & 1:
        ansl = f(ansl, self.seg[l])
        l += 1
      if r & 1 == 0:
        ansr = f(self.seg[r], ansr)
        r -= 1
      l >>= 1
      r >>= 1
    if l == r:
      ansl = f(ansl, self.seg[l])
    return f(ansl, ansr)

  def update1(self, i, x):
    i += self.num
    f = self.f
    self.seg[i] = self.g(self.seg[i], x)
    while i:
      i >>= 1
      self.seg[i] = f(self.seg[i << 1], self.seg[(i << 1)+1])

  def update2(self, l, r, x):
    self.flag = True
    *ids, = self.gindex(l, r)
    self.propagates(ids)
    num = self.num
    f = self.f
    g = self.g
    h = self.h
    l += num
    r += num-1
    if l == r:
      self.seg[l] = g(self.seg[l], x)
      for i in ids:
        self.seg[i] = f(self.seg[i << 1], self.seg[(i << 1)+1])
      return
    while l < r:
      if l & 1:
        if l < num:
          self.lazy[l] = h(self.lazy[l], x)
        self.seg[l] = g(self.seg[l], x)
        l += 1
      if r & 1 == 0:
        if r < num:
          self.lazy[r] = h(self.lazy[r], x)
        self.seg[r] = g(self.seg[r], x)
        r -= 1
      l >>= 1
      r >>= 1
      x = f(x, x)
    if l == r:
      self.lazy[l] = h(self.lazy[l], x)
      self.seg[l] = g(self.seg[l], x)
    for i in ids:
      self.seg[i] = f(self.seg[i << 1], self.seg[(i << 1)+1])
  
  def update(self, i, x):
    if type(i) is int:
      self.update1(i, x)
    else:
      self.update2(i[0], i[1], x)

def f(x,y):
  if type(x[1]) is int:
    return [x[0],x[1]+1]
  return [[x[i][j]+y[i][j] for j in range(len(x[i]))]for i in range(len(x))]
def g(x,yy):
  y,n=yy
  y=matpow(y,n)
  return matprod(y,x)
def h(xx,yy):
  if xx is None:
    return yy
  x,n=xx
  y,n=yy
  return [matprod(y,x),n]
n,q=map(int,input().split())
seg=SegmentTree(n,[[[1],[0]]]*n,[[0],[0]],f,g,h)
theta=[0]*n
length=[1]*n
for _ in range(q):
  query=list(map(int,input().split()))
  if query[0]==0:
    _,i,x=query
    thetaa=x-theta[i-1]
    seg.update([i-1,n],[[[cos(radians(thetaa)),-sin(radians(thetaa))],[sin(radians(thetaa)),cos(radians(thetaa))]],1])
    theta[i-1]=x
  elif query[0]==1:
    _,i,x=query
    seg.update(i-1,[[[x/length[i-1],0],[0,x/length[i-1]]],1])
    length[i-1]=x
  else:
    _,i=query
    x,y=seg.query(0,i)
    print('{:.9f}'.format(x[0]),'{:.9f}'.format(y[0]))
0