結果
| 問題 | No.1234 典型RMQ |
| ユーザー |
 Kiri8128
|
| 提出日時 | 2020-09-19 03:00:08 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
AC
|
| 実行時間 | 782 ms / 2,000 ms |
| コード長 | 8,002 bytes |
| コンパイル時間 | 330 ms |
| コンパイル使用メモリ | 82,176 KB |
| 実行使用メモリ | 104,704 KB |
| 最終ジャッジ日時 | 2024-11-09 02:09:19 |
| 合計ジャッジ時間 | 17,454 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge2 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 27 |
ソースコード
# Lazy Segment Tree
# https://yukicoder.me/submissions/471312
# https://yukicoder.me/submissions/552812 (Check (ちょっと古い))
# https://maspypy.com/segment-tree-%e3%81%ae%e3%81%8a%e5%8b%89%e5%bc%b72
class SegmentTree():
def __init__(self, init, unitX, unitA, f, g, h):
self.f = f # (X, X) -> X
self.g = g # (X, A, size) -> X
self.h = h # (A, A) -> A
self.unitX = unitX
self.unitA = unitA
self.f = f
if type(init) == int:
self.n = init
self.n = 1 << (self.n - 1).bit_length()
self.X = [unitX] * (self.n * 2)
self.size = [1] * (self.n * 2)
else:
self.n = len(init)
self.n = 1 << (self.n - 1).bit_length()
self.X = [unitX] * self.n + init + [unitX] * (self.n - len(init))
self.size = [0] * self.n + [1] * len(init) + [0] * (self.n - len(init))
for i in range(self.n-1, 0, -1):
self.X[i] = self.f(self.X[i*2], self.X[i*2|1])
for i in range(self.n - 1, 0, -1):
self.size[i] = self.size[i*2] + self.size[i*2|1]
self.A = [unitA] * (self.n * 2)
def update(self, i, x):
i += self.n
self.propagate_above(i)
self.X[i] = x
self.A[i] = unitA
self.calc_above(i)
def calc(self, i):
return self.g(self.X[i], self.A[i], self.size[i])
def calc_above(self, i):
i >>= 1
while i:
self.X[i] = self.f(self.calc(i*2), self.calc(i*2|1))
i >>= 1
def propagate(self, i):
self.X[i] = self.g(self.X[i], self.A[i], self.size[i])
self.A[i*2] = self.h(self.A[i*2], self.A[i])
self.A[i*2|1] = self.h(self.A[i*2|1], self.A[i])
self.A[i] = self.unitA
def propagate_above(self, i):
H = i.bit_length()
for h in range(H, 0, -1):
self.propagate(i >> h)
def propagate_all(self):
for i in range(1, self.n):
self.propagate(i)
def getrange(self, l, r):
l += self.n
r += self.n
l0, r0 = l // (l & -l), r // (r & -r) - 1
self.propagate_above(l0)
self.propagate_above(r0)
al = self.unitX
ar = self.unitX
while l < r:
if l & 1:
al = self.f(al, self.calc(l))
l += 1
if r & 1:
r -= 1
ar = self.f(self.calc(r), ar)
l >>= 1
r >>= 1
return self.f(al, ar)
def getvalue(self, i):
i += self.n
self.propagate_above(i)
return self.calc(i)
def operate_range(self, l, r, a):
l += self.n
r += self.n
l0, r0 = l // (l & -l), r // (r & -r) - 1
self.propagate_above(l0)
self.propagate_above(r0)
while l < r:
if l & 1:
self.A[l] = self.h(self.A[l], a)
l += 1
if r & 1:
r -= 1
self.A[r] = self.h(self.A[r], a)
l >>= 1
r >>= 1
self.calc_above(l0)
self.calc_above(r0)
def check(self, randX, randA, maxs, rep):
from random import randrange
for _ in range(rep):
x = randX()
y = randX()
z = randX()
a = randA()
b = randA()
c = randA()
s = randrange(1, maxs + 1)
t = randrange(1, maxs + 1)
err = 0
if not f(x, unitX) == f(unitX, x) == x:
err = 1
print("!!!!! unitX Error !!!!!")
print("unitX =", unitX)
print("x =", x)
print("f(x, unitX) =", f(x, unitX))
print("f(unitX, x) =", f(unitX, x))
if not h(a, unitA) == h(unitA, a) == a:
err = 1
print("!!!!! unitA Error !!!!!")
print("unitA =", unitA)
print("a =", a)
print("f(a, unitA) =", f(a, unitA))
print("f(unitA, a) =", f(unitA, a))
if not f(f(x, y), z) == f(x, f(y, z)):
err = 1
print("!!!!! Associativity Error X !!!!!")
print("x, y, z, f(x, y), f(y, x) =", x, y, z, f(x, y), f(y, x))
print("f(f(x, y), z) =", f(f(x, y), z))
print("f(x, f(y, z)) =", f(x, f(y, z)))
if not h(h(a, b), c) == h(a, h(b, c)):
err = 1
print("!!!!! Associativity Error A !!!!!")
print("a, b, c, h(a, b), h(b, c) =", a, b, c, h(a, b), h(b, c))
print("h(h(a, b), c) =", h(h(a, b), c))
print("h(a, h(b, c)) =", h(a, h(b, c)))
if not g(x, unitA, s) == x:
err = 1
print("!!!!! Identity Error !!!!!")
print("unitA, x, s =", unitA, x, s)
print("g(x, unitA, s) =", g(x, unitA, s))
if not g(g(x, a, s), b, s) == g(x, h(a, b), s):
err = 1
print("!!!!! Act Error 1 !!!!!")
print("x, a, b, s, g(x, a, s), h(a, b) =", x, a, b, s, g(x, a, s), h(a, b))
print("g(g(x, a, s), b, s) =", g(g(x, a, s), b, s))
print("g(x, h(a, b), s) =", g(x, h(a, b), s))
if not g(f(x, y), a, s + t) == f(g(x, a, s), g(y, a, t)):
err = 1
print("!!!!! Act Error 2 !!!!!")
print("x, y, a, s, t, f(x, y), g(x, a, s), g(y, a, t) =", x, y, a, s, t, f(x, y), g(x, a, s), g(y, a, t))
print("g(f(x, y), a, s + t) =", g(f(x, y), a, s + t))
print("f(g(x, a, s), g(y, a, t)) =", f(g(x, a, s), g(y, a, t)))
if err:
break
assert f(x, unitX) == f(unitX, x) == x
assert h(a, unitA) == h(unitA, a) == a
assert f(f(x, y), z) == f(x, f(y, z))
assert h(h(a, b), c) == h(a, h(b, c))
assert g(x, unitA, s) == x
assert g(g(x, a, s), b, s) == g(x, h(a, b), s)
assert g(f(x, y), a, s + t) == f(g(x, a, s), g(y, a, t))
else:
pass
print("Monoid Check OK!")
def debug1(self):
print("self.n =", self.n)
deX = []
deA = []
deS = []
a, b = self.n, self.n * 2
while b:
deX.append(self.X[a:b])
deA.append(self.A[a:b])
deS.append(self.size[a:b])
a, b = a//2, a
print("--- debug ---")
for d in deX[::-1]:
print(d)
print("--- ---")
for d in deA[::-1]:
print(d)
print("--- ---")
for d in deS[::-1]:
print(d)
print("--- ---")
def debug(self, k = 10):
print("--- debug ---")
print("point")
for i in range(min(self.n - 1, k)):
print(i, self.getvalue(i))
print("prod")
for i in range(min(self.n, k)):
print(i, self.getrange(0, i))
print("--- ---")
from operator import add
# f = lambda x, y: (x[0] + y[0], x[1] + y[1])
# g = lambda x, a, s: (s, 0) if a == "A" else (0, s) if a == "B" else (x)
# h = lambda a, b: b if len(b) else a
f = min
g = lambda x, a, s: x + a
h = add
unitX = 1 << 61
unitA = 0
N = int(input())
A = [int(a) for a in input().split()]
st = SegmentTree(A, unitX, unitA, f, g, h)
if False:
from random import randrange
randX = lambda: randrange(-10, 11)
randA = lambda: randrange(-10, 11)
maxs = 10
rep = 1000
st.check(randX, randA, maxs, rep)
Q = int(input())
for _ in range(Q):
k, l, r, c = map(int, input().split())
l -= 1
if k == 1:
st.operate_range(l, r, c)
else:
print(st.getrange(l, r))