結果
問題 | No.1195 数え上げを愛したい(文字列編) |
ユーザー | ああいい |
提出日時 | 2022-03-07 19:22:19 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 554 ms / 3,000 ms |
コード長 | 5,465 bytes |
コンパイル時間 | 297 ms |
コンパイル使用メモリ | 82,364 KB |
実行使用メモリ | 132,092 KB |
最終ジャッジ日時 | 2024-07-22 14:25:48 |
合計ジャッジ時間 | 10,626 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge2 |
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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 | 554 ms
131,500 KB |
testcase_01 | AC | 548 ms
132,092 KB |
testcase_02 | AC | 549 ms
131,456 KB |
testcase_03 | AC | 210 ms
95,020 KB |
testcase_04 | AC | 224 ms
94,336 KB |
testcase_05 | AC | 62 ms
70,696 KB |
testcase_06 | AC | 53 ms
64,912 KB |
testcase_07 | AC | 52 ms
65,256 KB |
testcase_08 | AC | 201 ms
90,108 KB |
testcase_09 | AC | 552 ms
131,512 KB |
testcase_10 | AC | 320 ms
106,436 KB |
testcase_11 | AC | 530 ms
128,664 KB |
testcase_12 | AC | 527 ms
128,400 KB |
testcase_13 | AC | 448 ms
113,296 KB |
testcase_14 | AC | 315 ms
105,984 KB |
testcase_15 | AC | 316 ms
105,488 KB |
testcase_16 | AC | 315 ms
105,824 KB |
testcase_17 | AC | 205 ms
90,752 KB |
testcase_18 | AC | 522 ms
128,496 KB |
testcase_19 | AC | 532 ms
128,060 KB |
testcase_20 | AC | 442 ms
113,504 KB |
testcase_21 | AC | 536 ms
128,440 KB |
testcase_22 | AC | 340 ms
106,856 KB |
testcase_23 | AC | 54 ms
66,516 KB |
testcase_24 | AC | 53 ms
64,928 KB |
testcase_25 | AC | 52 ms
65,040 KB |
ソースコード
P = 998244353 def get_root(m): if m == 2:return 1 if m == 998244353:return 3 if m == 469762049:return 3 if m == 754974721:return 11 if m == 167772161:return 3 divs = [0] * 20 divs[0] = 2 cnt = 1 x = (m-1) // 2 while x % 2 == 0: x //= 2 i = 3 while i * i <= x: if x % i == 0: divs[cnt] = i cnt += 1 while x % i == 0: x //= i i += 2 if x > 1: divs[cnt] = x cnt += 1 g = 2 while True: ok = True for i in range(cnt): if pow(g,(m-1)//divs[i],m) == 1: ok = False break if ok:return g g += 1 MOD = 998244353 IMAG = 911660635 IIMAG = 86583718 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) def butterfly_base4(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) % MOD a[i + offset + p] = (l - r) % MOD rot *= rate2[(~s & -~s).bit_length()] rot %= MOD le += 1 else: p = 1 << (h - le - 2) rot = 1 for s in range(1 << le): rot2 = rot * rot % MOD rot3 = rot2 * rot % MOD 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) % MOD * IMAG a[i + offset] = (a0 + a2 + a1 + a3) % MOD a[i + offset + p] = (a0 + a2 - a1 - a3) % MOD a[i + offset + p * 2] = (a0 - a2 + a1na3imag) % MOD a[i + offset + p * 3] = (a0 - a2 - a1na3imag) % MOD rot *= rate3[(~s & -~s).bit_length()] rot %= MOD le += 2 def butterfly_inv_base4(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) % MOD a[i + offset + p] = (l - r) * irot % MOD irot *= irate2[(~s & -~s).bit_length()] irot %= MOD le -= 1 else: p = 1 << (h - le) irot = 1 for s in range(1 << (le - 2)): irot2 = irot * irot % MOD irot3 = irot2 * irot % MOD 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) * IIMAG % MOD a[i + offset] = (a0 + a1 + a2 + a3) % MOD a[i + offset + p] = (a0 - a1 + a2na3iimag) * irot % MOD a[i + offset + p * 2] = (a0 + a1 - a2 - a3) * irot2 % MOD a[i + offset + p * 3] = (a0 - a1 - a2na3iimag) * irot3 % MOD irot *= irate3[(~s & -~s).bit_length()] irot %= MOD le -= 2 def convolution(s,t): n = len(s) m = len(t) if min(n, m) <= 40: a = [0] * (n + m - 1) for i in range(n): if i % 8 == 0: for j in range(m): a[i + j] += s[i] * t[j] a[i + j] %= MOD else: for j in range(m): a[i + j] += s[i] * t[j] return a z = 1 << (n + m - 2).bit_length() a = s + [0] * (z - n) b = t + [0] * (z - m) butterfly_base4(a) butterfly_base4(b) for i in range(z): a[i] *= b[i] a[i] %= MOD butterfly_inv_base4(a) a = a[:n + m - 1] iz = pow(z, MOD - 2, MOD) return [v * iz for v in a] S = input() dat = [0] * 26 for s in S: c = ord(s) - ord('a') dat[c] += 1 C = 3 * 10 ** 5 + 2 fact = [1] * C fact_inv = [1] * C for i in range(2,C): fact[i] = fact[i-1] * i % P fact_inv[-1] = pow(fact[-1],P-2,P) for i in range(C-2,0,-1): fact_inv[i] = fact_inv[i+1] * (i + 1) % P dat.sort() import heapq q = [] for i in range(26): if dat[i] == 0: continue n = dat[i] b = fact_inv[:n+1] heapq.heappush(q,(len(b),b)) while len(q) >= 2: n,a = heapq.heappop(q) m,b = heapq.heappop(q) c = convolution(a,b) heapq.heappush(q,(len(c),c)) n,a = heapq.heappop(q) ans = 0 for i in range(n): ans = (ans + a[i] * fact[i]) % P print((ans-1)%P)