結果
| 問題 | No.2344 (l+r)^2 |
| ユーザー |
👑  rin204
|
| 提出日時 | 2024-01-02 21:19:55 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
AC
|
| 実行時間 | 555 ms / 2,000 ms |
| コード長 | 5,965 bytes |
| コンパイル時間 | 331 ms |
| コンパイル使用メモリ | 82,328 KB |
| 実行使用メモリ | 120,288 KB |
| 最終ジャッジ日時 | 2024-09-27 17:53:40 |
| 合計ジャッジ時間 | 4,110 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge5 |
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テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 35 ms
52,764 KB |
| testcase_01 | AC | 555 ms
77,188 KB |
| testcase_02 | AC | 222 ms
78,500 KB |
| testcase_03 | AC | 227 ms
78,072 KB |
| testcase_04 | AC | 222 ms
78,488 KB |
| testcase_05 | AC | 228 ms
78,872 KB |
| testcase_06 | AC | 224 ms
78,432 KB |
| testcase_07 | AC | 138 ms
97,480 KB |
| testcase_08 | AC | 139 ms
99,256 KB |
| testcase_09 | AC | 133 ms
94,680 KB |
| testcase_10 | AC | 138 ms
95,016 KB |
| testcase_11 | AC | 103 ms
86,312 KB |
| testcase_12 | AC | 229 ms
120,288 KB |
ソースコード
class NTT998:
# fmt: off
rate2=(0, 911660635, 509520358, 369330050, 332049552, 983190778, 123842337, 238493703, 975955924, 603855026, 856644456, 131300601, 842657263, 730768835, 942482514, 806263778, 151565301, 510815449, 503497456, 743006876, 741047443, 56250497, 867605899, 0)
irate2=(0, 86583718, 372528824, 373294451, 645684063, 112220581, 692852209, 155456985, 797128860, 90816748, 860285882, 927414960, 354738543, 109331171, 293255632, 535113200, 308540755, 121186627, 608385704, 438932459, 359477183, 824071951, 103369235, 0)
rate3=(0, 372528824, 337190230, 454590761, 816400692, 578227951, 180142363, 83780245, 6597683, 70046822, 623238099, 183021267, 402682409, 631680428, 344509872, 689220186, 365017329, 774342554, 729444058, 102986190, 128751033, 395565204, 0)
irate3=(0, 509520358, 929031873, 170256584, 839780419, 282974284, 395914482, 444904435, 72135471, 638914820, 66769500, 771127074, 985925487, 262319669, 262341272, 625870173, 768022760, 859816005, 914661783, 430819711, 272774365, 530924681, 0)
# fmt: on
def butterfly(A):
n = len(A)
h = (n - 1).bit_length()
le = 0
while le < h:
if h - le == 1:
p = 1 << (h - le - 1)
rot = 1
for s in range(1 << le):
offset = s << (h - le)
for i in range(p):
l = A[i + offset]
r = A[i + offset + p] * rot
A[i + offset] = (l + r) % 998244353
A[i + offset + p] = (l - r) % 998244353
rot *= NTT998.rate2[(~s & -~s).bit_length()]
rot %= 998244353
le += 1
else:
p = 1 << (h - le - 2)
rot = 1
for s in range(1 << le):
rot2 = rot * rot % 998244353
rot3 = rot2 * rot % 998244353
offset = s << (h - le)
for i in range(p):
a0 = A[i + offset]
a1 = A[i + offset + p] * rot
a2 = A[i + offset + p * 2] * rot2
a3 = A[i + offset + p * 3] * rot3
a1na3imag = (a1 - a3) % 998244353 * 911660635
A[i + offset] = (a0 + a2 + a1 + a3) % 998244353
A[i + offset + p] = (a0 + a2 - a1 - a3) % 998244353
A[i + offset + p * 2] = (a0 - a2 + a1na3imag) % 998244353
A[i + offset + p * 3] = (a0 - a2 - a1na3imag) % 998244353
rot *= NTT998.rate3[(~s & -~s).bit_length()]
rot %= 998244353
le += 2
def butterfly_inv(A):
n = len(A)
h = (n - 1).bit_length()
le = h
while le:
if le == 1:
p = 1 << (h - le)
irot = 1
for s in range(1 << (le - 1)):
offset = s << (h - le + 1)
for i in range(p):
l = A[i + offset]
r = A[i + offset + p]
A[i + offset] = (l + r) % 998244353
A[i + offset + p] = (l - r) * irot % 998244353
irot *= NTT998.irate2[(~s & -~s).bit_length()]
irot %= 998244353
le -= 1
else:
p = 1 << (h - le)
irot = 1
for s in range(1 << (le - 2)):
irot2 = irot * irot % 998244353
irot3 = irot2 * irot % 998244353
offset = s << (h - le + 2)
for i in range(p):
a0 = A[i + offset]
a1 = A[i + offset + p]
a2 = A[i + offset + p * 2]
a3 = A[i + offset + p * 3]
a2na3iimag = (a2 - a3) * 86583718 % 998244353
A[i + offset] = (a0 + a1 + a2 + a3) % 998244353
A[i + offset + p] = (a0 - a1 + a2na3iimag) * irot % 998244353
A[i + offset + p * 2] = (a0 + a1 - a2 - a3) * irot2 % 998244353
A[i + offset + p * 3] = (a0 - a1 - a2na3iimag) * irot3 % 998244353
irot *= NTT998.irate3[(~s & -~s).bit_length()]
irot %= 998244353
le -= 2
def multiply(A, B):
n = len(A)
m = len(B)
if min(n, m) <= 60:
C = [0] * (n + m - 1)
for i in range(n):
if i % 8 == 0:
for j in range(m):
C[i + j] += A[i] * B[j]
C[i + j] %= 998244353
else:
for j in range(m):
C[i + j] += A[i] * B[j]
return [c % 998244353 for c in C]
A = A[:]
B = B[:]
z = 1 << (n + m - 2).bit_length()
A += [0] * (z - n)
B += [0] * (z - m)
NTT998.butterfly(A)
NTT998.butterfly(B)
for i in range(z):
A[i] *= B[i]
A[i] %= 998244353
NTT998.butterfly_inv(A)
A = A[: n + m - 1]
iz = pow(z, 998244353 - 2, 998244353)
return [a * iz % 998244353 for a in A]
def solve():
n, m = map(int, input().split())
A = list(map(int, input().split()))
if n > m:
d = n - m
B = [0] * (d + 1)
for i in range(d + 1):
if d & i == i:
B[i] = 1
B = B[::-1]
A = [a & 1 for a in A]
res = NTT998.multiply(A, B)
A = [a & 1 for a in res[len(B) - 1 : len(B) - 1 + m]]
mask = (1 << m) - 1
while len(A) >= 2:
for i in range(len(A) - 1):
A[i] = (A[i] + A[i + 1]) ** 2
A[i] &= mask
A.pop()
print(A[0])
for _ in range(int(input())):
solve()