QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#670760 | #9225. Fibonacci Fusion | 27568 | TL | 862ms | 20960kb | Python3 | 1.5kb | 2024-10-24 00:34:29 | 2024-10-24 00:34:30 |
Judging History
answer
import sys
sys.set_int_max_str_digits(0)
import math
sq5 = math.sqrt(5)
P = 1000000000000002097
fio = [0, 1]
for i in range(50):
fio.append((fio[-1] + fio[-2]) % P)
def mul(m1, m2):
m3 = [[0, 0], [0, 0]]
for i in range(0, 2):
for j in range(0, 2):
for k in range(0, 2):
m3[i][j] = (m3[i][j] + m1[i][k] * m2[k][j] % P) % P
return m3
def Fio(n):
if n <= 20:
return fio[n]
y = [[1, 0], [0, 1]]
x = [[0, 1], [1, 1]]
while n > 0:
if n % 2 == 1:
y = mul(y, x)
x = mul(x, x)
n //= 2
return y[0][0]
def get(x):
if x <= 20:
y = 1
while True:
if fio[y] >= x:
return y
y += 1
return math.ceil((math.log10(sq5) + math.log10(x)) / math.log10((1 + sq5) / 2))
n = int(input())
a = []
for i in range(0, n):
a.append(int(input()))
# a.append(Fio(21) - 11)
# a.append(Fio(20) - 23)
# a.append(Fio(20) - 31)
# a.append(11)
# a.append(23)
# a.append(31)
a = sorted(a)
ans = 0
mp = {-1:0}
for j in range(0, n):
i = get(a[j])
a[j] %= P
ans += mp.get((Fio(i) - a[j] + P) % P, 0)
ans += mp.get((Fio(i + 1) - a[j] + P) % P, 0)
ans += mp.get((Fio(i + 2) - a[j] + P) % P, 0)
ans += mp.get((Fio(i + 3) - a[j] + P) % P, 0)
if mp.get(a[j], 0) == 0:
mp.update({a[j]:1})
else:
mp[a[j]] += 1
print(ans)
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 12ms
memory: 10668kb
input:
6 50 8 8 5 72 354224848179261915070
output:
4
result:
ok 1 number(s): "4"
Test #2:
score: 0
Accepted
time: 862ms
memory: 20960kb
input:
28 200878223506436882933619847964496455022155117513398820563747455993172799881403389571477889821109288771413214004090719097929400406252135763028179112130390003528046316900603668569910008417315162907579003880220844686222148696041857432602133894827753998572080650383305777912447151917272483538029469449...
output:
27
result:
ok 1 number(s): "27"
Test #3:
score: 0
Accepted
time: 813ms
memory: 13424kb
input:
5187 2640352926124261912741724778991366987330659389621881876017670644497364093930668042530271338851702874394631009332660937266680740235862107353443518003194307853104942996827176097428402408674756368623972812842571069642405111849826172879369776309763468485788964245903781380419155348915131587410703749...
output:
6073
result:
ok 1 number(s): "6073"
Test #4:
score: 0
Accepted
time: 371ms
memory: 14216kb
input:
200000 2 2 2 2 1 2 1 1 2 2 1 1 1 2 2 1 1 2 1 1 2 2 1 2 2 2 1 1 1 1 2 2 1 2 1 2 1 1 2 2 1 1 1 2 1 1 2 1 2 2 2 2 1 2 2 1 1 1 2 1 1 1 1 1 2 1 2 2 1 1 1 2 2 2 1 1 2 1 1 2 1 2 1 1 1 2 2 2 1 1 1 1 2 1 2 1 1 2 2 1 1 2 1 1 2 1 2 2 1 2 1 2 2 1 1 2 1 1 1 2 2 2 1 2 2 1 1 2 2 2 2 1 2 1 1 2 1 2 2 1 1 1 1 2 2 2 2...
output:
15003749259
result:
ok 1 number(s): "15003749259"
Test #5:
score: -100
Time Limit Exceeded
input:
200000 944176313232170622314 2590599414036674999101 753315073608896000424 9299685298577430049245 9361800333778142620806 8988699166328904060999 9606920674025578304023 4203331868598952026136 5183047027116137697788 3968714342776915029801 8130984095583566992354 3206443643596048048798 6248561214283254355...