結果

問題 No.731 等差数列がだいすき
ユーザー simamumu
提出日時 2018-09-07 22:56:21
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 149 ms / 1,500 ms
コード長 1,454 bytes
コンパイル時間 1,452 ms
コンパイル使用メモリ 82,564 KB
実行使用メモリ 80,128 KB
最終ジャッジ日時 2024-11-29 18:07:47
合計ジャッジ時間 4,365 ms
ジャッジサーバーID
(参考情報)
judge4 / judge3
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ファイルパターン 結果
sample AC * 3
other AC * 18
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ソースコード

diff #
プレゼンテーションモードにする

from collections import defaultdict,deque
import sys,heapq,bisect,math,itertools,string,queue,datetime
sys.setrecursionlimit(10**8)
INF = float('inf')
mod = 10**9+7
eps = 10**-7
def inpl(): return list(map(int, input().split()))
def inpls(): return list(input().split())
N = int(input())
aa = inpl()
SUMa = sum(aa)
SUM2a = 0
SUMaa = 0
for i in range(N):
SUM2a += aa[i]*(2*i)
SUMaa += aa[i]**2
def calc(A,d):
tmp = SUMaa - 2*SUMa*A - SUM2a*d
tmp += A**2*N #A^2
tmp += (N-1)*N*A*d #2Ad
tmp += (N-1)*N*(2*N-1)//6*d**2 #d^2
return tmp
def calc_d(A):
xx =[0]*4
xx[0] = -10**7
xx[3] = 10**7
xx[1] = (xx[0]*2 + xx[3]) /3
xx[2] = (xx[0] + xx[3]*2) /3
yy = [0]*4
for i in range(4):
yy[i] = calc(A,xx[i])
for _ in range(300):
if yy[1] < yy[2]:
xx[3] = xx[2]
xx[1] = (xx[0]*2 + xx[3]) /3
xx[2] = (xx[0] + xx[3]*2) /3
else:
xx[0] = xx[1]
xx[1] = (xx[0]*2 + xx[3]) /3
xx[2] = (xx[0] + xx[3]*2) /3
yy[1] = calc(A,xx[1])
yy[2] = calc(A,xx[2])
return yy[1],xx[1]
xx =[0]*4
xx[0] = -10**10
xx[3] = 10**10
xx[1] = (xx[0]*2 + xx[3]) /3
xx[2] = (xx[0] + xx[3]*2) /3
yy = [0]*4
for i in range(4):
yy[i],d = calc_d(xx[i])
by = yy[1]
for _ in range(1000):
if yy[1] < yy[2]:
xx[3] = xx[2]
xx[1] = (xx[0]*2 + xx[3]) /3
xx[2] = (xx[0] + xx[3]*2) /3
else:
xx[0] = xx[1]
xx[1] = (xx[0]*2 + xx[3]) /3
xx[2] = (xx[0] + xx[3]*2) /3
yy[1],d = calc_d(xx[1])
yy[2],d = calc_d(xx[2])
print(xx[1],d)
print(yy[1])
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