結果
| 問題 |
No.2697 Range LIS Query
|
| コンテスト | |
| ユーザー |
PNJ
|
| 提出日時 | 2024-03-22 21:51:35 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 5,306 bytes |
| コンパイル時間 | 270 ms |
| コンパイル使用メモリ | 82,432 KB |
| 実行使用メモリ | 112,224 KB |
| 最終ジャッジ日時 | 2024-09-30 11:20:12 |
| 合計ジャッジ時間 | 15,145 ms |
|
ジャッジサーバーID (参考情報) |
judge3 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 3 TLE * 1 -- * 11 |
ソースコード
import sys
input = lambda: sys.stdin.readline().strip()
class LazySegTree():
# G:モノイド F:写像の集合
# operate(x,y): x*y (G×G -> G)
# mapping(f,x): f(x) (F×G -> G)
# composition(f,g): f ○ g (F×F -> F)
# element: Gの単位元
# identity: Fの単位元(恒等写像)
def __init__(self,V,operate,element,mapping,composition,identity):
self.n = len(V)
self.log = (self.n - 1).bit_length()
self.size = 1 << self.log
self.d = [element for i in range(2*self.size)]
self.lz = [identity for i in range(self.size)]
self.e = element
self.op = operate
self.mapping = mapping
self.comp = composition
self.id = identity
for i in range(self.n):
self.d[self.size + i] = V[i]
for i in range(self.size - 1,0,-1):
self.update(i)
def all_apply(self,k,f):
self.d[k] = self.mapping(f,self.d[k])
if (k < self.size):
self.lz[k] = self.comp(f,self.lz[k])
def update(self,k):
self.d[k] = self.op(self.d[2*k],self.d[2*k+1])
def push(self,k):
self.all_apply(2*k,self.lz[k])
self.all_apply(2*k+1,self.lz[k])
self.lz[k] = self.id
def set(self,p,x): # V[p] -> x
assert 0 <= p < self.n
p += self.size
for i in range(self.log,0,-1):
self.push(p >> i)
self.d[p] = x
for i in range(1,self.log+1):
self.update(p >> i)
def get(self,p): # V[p]を取得
assert 0 <= p < self.n
p += self.size
for i in range(self.log,0,-1):
self.push(p>>i)
return self.d[p]
def prod(self,l,r): # [l,r)での値の取得
assert 0 <= l <= r <= self.n
if l==r:
return self.e
l += self.size
r += self.size
for i in range(self.log,0,-1):
if (((l >> i) << i)!=l):
self.push(l >> i)
if (((r >> i) << i)!=r):
self.push(r >> i)
sml = smr = self.e
while l < r:
if l & 1:
sml = self.op(sml,self.d[l])
l += 1
if r & 1:
r -= 1
smr = self.op(self.d[r],smr)
l >>= 1
r >>= 1
return self.op(sml,smr)
def all_prod(self):
return self.d[1]
def apply_point(self,p,f): # p -> f(p)
assert 0<=p and p<self.n
p+=self.size
for i in range(self.log,0,-1):
self.push(p>>i)
self.d[p]=self.mapping(f,self.d[p])
for i in range(1,self.log+1):
self.update(p>>i)
def apply(self,l,r,f): # [l,r)のxをf(x)
assert 0 <= l <= r <= self.n
if l == r:
return
l += self.size
r += self.size
for i in range(self.log,0,-1):
if ((l >> i) << i)!= l:
self.push(l >> i)
if ((r >> i) << i) != r:
self.push((r-1) >> i)
l_,r_ = l,r
while l < r:
if (l&1):
self.all_apply(l,f)
l+=1
if (r&1):
r-=1
self.all_apply(r,f)
l >>= 1
r >>= 1
l,r = l_,r_
for i in range(1,self.log+1):
if ((l >> i) << i) != l:
self.update(l>>i)
if ((r >> i) << i) != r:
self.update((r-1) >> i)
def max_right(self,l,g): # x = prod(l,r), g(x) = true となる、最大のrを求める。
assert 0 <= l <= self.n
assert g(self.e)
if l == self.n:
return self.n
l += self.size
for i in range(self.log,0,-1):
self.push(l >> i)
sm=self.e
while(1):
while(l%2 == 0):
l >>= 1
if not(g(self.op(sm,self.d[l]))):
while(l < self.size):
self.push(l)
l = 2*l
if (g(self.op(sm,self.d[l]))):
sm = self.op(sm,self.d[l])
l += 1
return l - self.size
sm = self.op(sm,self.d[l])
l += 1
if (l & -l) == l:
break
return self.n
def min_left(self,r,g): # x = prod(l,r), g(x) = true となる、最小のlを求める。
assert (0 <= r <=self.n)
assert g(self.e)
if r == 0:
return 0
r += self.size
for i in range(self.log,0,-1):
self.push((r-1) >> i)
sm=self.e
while(1):
r -= 1
while(r > 1 and (r%2)):
r >>= 1
if not(g(self.op(self.d[r],sm))):
while(r < self.size):
self.push(r)
r = 2*r + 1
if g(self.op(self.d[r],sm)):
sm = self.op(self.d[r],sm)
r -= 1
return r + 1 - self.size
sm = self.op(self.d[r],sm)
if (r & -r) == r:
break
return 0
def op(x,y):
c = x[1] + y[1]
z = [[0 for j in range(4)] for i in range(4)]
for i in range(4):
for j in range(i,4):
for k in range(j,4):
for l in range(k,4):
z[i][l] = max(z[i][l],x[0][i][j] + y[0][k][l])
return (z,c)
def mapping(f,x):
if f == -1:
return x
c = x[1]
z = [[0 for i in range(4)] for j in range(4)]
z[f][f] = c
return (z,c)
def composing(f,g):
if f == -1:
return g
return f
N = int(input())
A = list(map(int,input().split()))
X = [([[0 for j in range(4)] for i in range(4)],1) for j in range(N)]
seg = LazySegTree(X,op,([[0 for j in range(4)] for i in range(4)],0),mapping,composing,-1)
for i in range(N):
seg.apply_point(i,A[i]-1)
Q = int(input())
for _ in range(Q):
q = list(map(int,input().split()))
l,r = q[1],q[2]
if q[0] == 1:
z = seg.prod(l-1,r)[0]
ans = 0
for i in range(4):
for j in range(4):
ans = max(z[i][j],ans)
print(ans)
else:
x = q[3] - 1
seg.apply(l-1,r,x)
PNJ