結果
問題 | No.2076 Concon Substrings (ConVersion) |
ユーザー | chineristAC |
提出日時 | 2022-09-16 22:16:46 |
言語 | PyPy3 (7.3.15) |
結果 |
TLE
|
実行時間 | - |
コード長 | 8,930 bytes |
コンパイル時間 | 419 ms |
コンパイル使用メモリ | 82,528 KB |
実行使用メモリ | 259,932 KB |
最終ジャッジ日時 | 2024-06-01 13:24:49 |
合計ジャッジ時間 | 33,545 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge3 |
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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 | 67 ms
68,976 KB |
testcase_01 | AC | 68 ms
69,780 KB |
testcase_02 | AC | 67 ms
68,964 KB |
testcase_03 | AC | 67 ms
69,684 KB |
testcase_04 | AC | 68 ms
69,008 KB |
testcase_05 | AC | 80 ms
75,336 KB |
testcase_06 | AC | 74 ms
72,264 KB |
testcase_07 | TLE | - |
testcase_08 | AC | 4,172 ms
259,464 KB |
testcase_09 | TLE | - |
testcase_10 | AC | 68 ms
70,824 KB |
testcase_11 | AC | 68 ms
70,100 KB |
testcase_12 | AC | 67 ms
70,648 KB |
testcase_13 | AC | 68 ms
70,308 KB |
testcase_14 | AC | 66 ms
69,604 KB |
testcase_15 | AC | 1,529 ms
124,300 KB |
testcase_16 | AC | 2,034 ms
221,564 KB |
testcase_17 | AC | 1,001 ms
201,004 KB |
testcase_18 | AC | 4,361 ms
233,956 KB |
testcase_19 | AC | 1,026 ms
259,912 KB |
testcase_20 | AC | 2,333 ms
174,308 KB |
testcase_21 | AC | 67 ms
69,212 KB |
testcase_22 | AC | 608 ms
182,356 KB |
testcase_23 | AC | 189 ms
83,164 KB |
testcase_24 | AC | 263 ms
84,512 KB |
testcase_25 | AC | 456 ms
259,604 KB |
testcase_26 | AC | 178 ms
83,480 KB |
testcase_27 | AC | 206 ms
82,768 KB |
testcase_28 | AC | 435 ms
259,700 KB |
testcase_29 | AC | 597 ms
224,472 KB |
testcase_30 | AC | 651 ms
259,448 KB |
testcase_31 | AC | 80 ms
75,664 KB |
ソースコード
class UnionFindVerSize(): def __init__(self, N): self._parent = [n for n in range(0, N)] self._size = [1] * N self.group = N def find_root(self, x): if self._parent[x] == x: return x self._parent[x] = self.find_root(self._parent[x]) return self._parent[x] def unite(self, x, y): gx = self.find_root(x) gy = self.find_root(y) if gx == gy: return self.group -= 1 if self._size[gx] < self._size[gy]: self._parent[gx] = gy self._size[gy] += self._size[gx] else: self._parent[gy] = gx self._size[gx] += self._size[gy] def get_size(self, x): return self._size[self.find_root(x)] def is_same_group(self, x, y): return self.find_root(x) == self.find_root(y) """ 引用元: https://atcoder.jp/contests/practice2/submissions/24974537 """ mod = 998244353 omega = pow(3,119,mod) rev_omega = pow(omega,mod-2,mod) N = 2*10**5 g1 = [1]*(N+1) # 元テーブル g2 = [1]*(N+1) #逆元テーブル inv = [1]*(N+1) #逆元テーブル計算用テーブル for i in range( 2, N + 1 ): g1[i]=( ( g1[i-1] * i ) % mod ) inv[i]=( ( -inv[mod % i] * (mod//i) ) % mod ) g2[i]=( (g2[i-1] * inv[i]) % mod ) inv[0]=0 _fft_mod = 998244353 _fft_imag = 911660635 _fft_iimag = 86583718 _fft_rate2 = (911660635, 509520358, 369330050, 332049552, 983190778, 123842337, 238493703, 975955924, 603855026, 856644456, 131300601, 842657263, 730768835, 942482514, 806263778, 151565301, 510815449, 503497456, 743006876, 741047443, 56250497, 867605899) _fft_irate2 = (86583718, 372528824, 373294451, 645684063, 112220581, 692852209, 155456985, 797128860, 90816748, 860285882, 927414960, 354738543, 109331171, 293255632, 535113200, 308540755, 121186627, 608385704, 438932459, 359477183, 824071951, 103369235) _fft_rate3 = (372528824, 337190230, 454590761, 816400692, 578227951, 180142363, 83780245, 6597683, 70046822, 623238099, 183021267, 402682409, 631680428, 344509872, 689220186, 365017329, 774342554, 729444058, 102986190, 128751033, 395565204) _fft_irate3 = (509520358, 929031873, 170256584, 839780419, 282974284, 395914482, 444904435, 72135471, 638914820, 66769500, 771127074, 985925487, 262319669, 262341272, 625870173, 768022760, 859816005, 914661783, 430819711, 272774365, 530924681) def _butterfly(a): n = len(a) h = (n - 1).bit_length() len_ = 0 while len_ < h: if h - len_ == 1: p = 1 << (h - len_ - 1) rot = 1 for s in range(1 << len_): offset = s << (h - len_) for i in range(p): l = a[i + offset] r = a[i + offset + p] * rot % _fft_mod a[i + offset] = (l + r) % _fft_mod a[i + offset + p] = (l - r) % _fft_mod if s + 1 != (1 << len_): rot *= _fft_rate2[(~s & -~s).bit_length() - 1] rot %= _fft_mod len_ += 1 else: p = 1 << (h - len_ - 2) rot = 1 for s in range(1 << len_): rot2 = rot * rot % _fft_mod rot3 = rot2 * rot % _fft_mod offset = s << (h - len_) 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) % _fft_mod * _fft_imag a[i + offset] = (a0 + a2 + a1 + a3) % _fft_mod a[i + offset + p] = (a0 + a2 - a1 - a3) % _fft_mod a[i + offset + p * 2] = (a0 - a2 + a1na3imag) % _fft_mod a[i + offset + p * 3] = (a0 - a2 - a1na3imag) % _fft_mod if s + 1 != (1 << len_): rot *= _fft_rate3[(~s & -~s).bit_length() - 1] rot %= _fft_mod len_ += 2 def _butterfly_inv(a): n = len(a) h = (n - 1).bit_length() len_ = h while len_: if len_ == 1: p = 1 << (h - len_) irot = 1 for s in range(1 << (len_ - 1)): offset = s << (h - len_ + 1) for i in range(p): l = a[i + offset] r = a[i + offset + p] a[i + offset] = (l + r) % _fft_mod a[i + offset + p] = (l - r) * irot % _fft_mod if s + 1 != (1 << (len_ - 1)): irot *= _fft_irate2[(~s & -~s).bit_length() - 1] irot %= _fft_mod len_ -= 1 else: p = 1 << (h - len_) irot = 1 for s in range(1 << (len_ - 2)): irot2 = irot * irot % _fft_mod irot3 = irot2 * irot % _fft_mod offset = s << (h - len_ + 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) * _fft_iimag % _fft_mod a[i + offset] = (a0 + a1 + a2 + a3) % _fft_mod a[i + offset + p] = (a0 - a1 + a2na3iimag) * irot % _fft_mod a[i + offset + p * 2] = (a0 + a1 - a2 - a3) * irot2 % _fft_mod a[i + offset + p * 3] = (a0 - a1 - a2na3iimag) * irot3 % _fft_mod if s + 1 != (1 << (len_ - 1)): irot *= _fft_irate3[(~s & -~s).bit_length() - 1] irot %= _fft_mod len_ -= 2 def _convolution_naive(a, b): n = len(a) m = len(b) ans = [0] * (n + m - 1) if n < m: for j in range(m): for i in range(n): ans[i + j] = (ans[i + j] + a[i] * b[j]) % _fft_mod else: for i in range(n): for j in range(m): ans[i + j] = (ans[i + j] + a[i] * b[j]) % _fft_mod return ans def _convolution_fft(a, b): a = a.copy() b = b.copy() n = len(a) m = len(b) z = 1 << (n + m - 2).bit_length() a += [0] * (z - n) _butterfly(a) b += [0] * (z - m) _butterfly(b) for i in range(z): a[i] = a[i] * b[i] % _fft_mod _butterfly_inv(a) a = a[:n + m - 1] iz = pow(z, _fft_mod - 2, _fft_mod) for i in range(n + m - 1): a[i] = a[i] * iz % _fft_mod return a def _convolution_square(a): a = a.copy() n = len(a) z = 1 << (2 * n - 2).bit_length() a += [0] * (z - n) _butterfly(a) for i in range(z): a[i] = a[i] * a[i] % _fft_mod _butterfly_inv(a) a = a[:2 * n - 1] iz = pow(z, _fft_mod - 2, _fft_mod) for i in range(2 * n - 1): a[i] = a[i] * iz % _fft_mod return a def convolution(a, b): """It calculates (+, x) convolution in mod 998244353. Given two arrays a[0], a[1], ..., a[n - 1] and b[0], b[1], ..., b[m - 1], it calculates the array c of length n + m - 1, defined by > c[i] = sum(a[j] * b[i - j] for j in range(i + 1)) % 998244353. It returns an empty list if at least one of a and b are empty. Constraints ----------- > len(a) + len(b) <= 8388609 Complexity ---------- > O(n log n), where n = len(a) + len(b). """ n = len(a) m = len(b) if n == 0 or m == 0: return [] if min(n, m) <= 0: return _convolution_naive(a, b) if a is b: return _convolution_square(a) return _convolution_fft(a, b) import sys,random,bisect from collections import deque,defaultdict,Counter from heapq import heapify,heappop,heappush from itertools import cycle, permutations from math import log,gcd input = lambda :sys.stdin.readline().rstrip() mi = lambda :map(int,input().split()) li = lambda :list(mi()) N,X,Y = mi() S = input() A = [] i = 0 while i < N: if S[i:i+3]=="con": a = 1 j = i+3 while j+2 < len(S): if S[j:j+3]=="con": a += 1 j += 3 else: break A.append(a) i = j else: i += 1 res = 0 dp = [-1] * ((N//3)*2+10) dp[0] = 0 for a in A: ndp = [-1] * ((N//3)*2) for s in range(-N//3,N//3+1): if dp[s] == -1: continue for k in range(a//X+1): x = k y = (a-k*X)//Y ndp[s+x-y] = max(ndp[s+x-y],dp[s]+x+y) dp = ndp for s in range(-N//3,2): if dp[s]!=-1: if s <= 0: tmp = dp[s] + s else: tmp = dp[s] res = max(res,tmp) print(res)