#636427 (PyPy3) No.1448 和差算

• 問題: No.1448 和差算
• ユーザー: 👑 SPD_9X2
• 提出日時: 2021-03-31 14:33:30
• 言語: PyPy3 (7.3.15)
• 結果: AC
• 実行時間: 44 ms / 2,000 ms
• コード長: 1,577 bytes
• コンパイル時間: 255 ms
• コンパイル使用メモリ: 82,024 KB
• 実行使用メモリ: 54,348 KB
• 最終ジャッジ日時: 2024-12-14 19:13:37
• 合計ジャッジ時間: 2,830 ms
• ジャッジサーバーID （参考情報）: judge1 / judge5

ファイルパターン	結果
sample	AC * 3
other	AC * 36

ソースコード

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
"""
"""
import sys
from sys import stdin
#行列A,Bの積(不可能だとエラー,modに0以下の値を指定するとmodを取らなくなる)
def matrix_mul(A,B,mod):
 
    ans = [ [0] * len(B[0]) for i in range(len(A)) ]
 
    for ai in range(len(A)):
 
        for bj in range(len(B[0])):
 
            now = 0
            for same in range(len(A[0])):
                now += A[ai][same] * B[same][bj]
            if mod > 0:
                ans[ai][bj] = now % mod
            else:
                ans[ai][bj] = now
 
    return ans
 
#行列Aのx乗(当然正方行列じゃないとだめ)
def matrix_pow(A,x,mod):
 
    B = [[A[i][j] for j in range(len(A[0]))] for i in range(len(A))]
    ans = [[0] * len(A[0]) for i in range(len(A))]
    for i in range(len(A)):
        ans[i][i] = 1
 
    while x > 0:
        if x % 2 == 1:
            ans = matrix_mul(ans,B,mod)
        B = matrix_mul(B,B,mod)
 
        x//=2
    return ans
A,B,C,D = map(int,stdin.readline().split())
N = int(stdin.readline())
dp = [ [ [0,0] for j in range(2) ] for i in range(10)]
dp[0][0] = [1,0]
dp[0][1] = [0,1]
for i in range(8):
    dp[i+1][0] = [dp[i][0][0] - dp[i][1][0] , dp[i][0][1] - dp[i][1][1]]
    dp[i+1][1] = [dp[i][0][0] + dp[i][1][0] , dp[i][0][1] + dp[i][1][1]]
if dp[N % 8][0][0] + dp[N % 8][1][0] >= 0:
    ak = B
else:
    ak = A
if dp[N % 8][0][1] + dp[N % 8][1][1] >= 0:
    bk = D
else:
    bk = C
print (ak,bk,file=sys.stderr)
fi = [[ak,bk]]
mt = [ [1,1],[-1,1] ]
mod = 10**9+7
ans = matrix_mul(fi,matrix_pow(mt,N,mod),mod)
print (sum(ans[0]) % mod)
 
 
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX