結果
問題 | No.1195 数え上げを愛したい(文字列編) |
ユーザー | mkawa2 |
提出日時 | 2023-05-27 17:08:18 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 1,454 ms / 3,000 ms |
コード長 | 5,609 bytes |
コンパイル時間 | 175 ms |
コンパイル使用メモリ | 82,176 KB |
実行使用メモリ | 250,324 KB |
最終ジャッジ日時 | 2024-06-07 17:49:26 |
合計ジャッジ時間 | 22,805 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge1 |
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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 | 1,443 ms
250,324 KB |
testcase_01 | AC | 1,433 ms
250,244 KB |
testcase_02 | AC | 1,454 ms
250,160 KB |
testcase_03 | AC | 237 ms
101,376 KB |
testcase_04 | AC | 264 ms
105,912 KB |
testcase_05 | AC | 110 ms
98,996 KB |
testcase_06 | AC | 71 ms
85,248 KB |
testcase_07 | AC | 71 ms
85,120 KB |
testcase_08 | AC | 338 ms
111,196 KB |
testcase_09 | AC | 1,383 ms
245,464 KB |
testcase_10 | AC | 819 ms
181,436 KB |
testcase_11 | AC | 1,272 ms
233,908 KB |
testcase_12 | AC | 1,210 ms
226,312 KB |
testcase_13 | AC | 1,040 ms
206,108 KB |
testcase_14 | AC | 726 ms
168,592 KB |
testcase_15 | AC | 801 ms
179,128 KB |
testcase_16 | AC | 723 ms
171,924 KB |
testcase_17 | AC | 351 ms
113,596 KB |
testcase_18 | AC | 1,200 ms
228,736 KB |
testcase_19 | AC | 1,202 ms
226,816 KB |
testcase_20 | AC | 1,051 ms
206,628 KB |
testcase_21 | AC | 1,269 ms
233,932 KB |
testcase_22 | AC | 984 ms
199,180 KB |
testcase_23 | AC | 71 ms
85,376 KB |
testcase_24 | AC | 71 ms
85,376 KB |
testcase_25 | AC | 69 ms
84,992 KB |
ソースコード
import sys # sys.setrecursionlimit(200005) # sys.set_int_max_str_digits(200005) int1 = lambda x: int(x)-1 pDB = lambda *x: print(*x, end="\n", file=sys.stderr) p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr) def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() # dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = (1 << 63)-1 # md = 10**9+7 md = 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(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)%md a[i+offset+p] = (l-r)%md rot *= rate2[(~s & -~s).bit_length()] rot %= md le += 1 else: p = 1 << (h-le-2) rot = 1 for s in range(1 << le): rot2 = rot*rot%md rot3 = rot2*rot%md 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)%md*IMAG a[i+offset] = (a0+a2+a1+a3)%md a[i+offset+p] = (a0+a2-a1-a3)%md a[i+offset+p*2] = (a0-a2+a1na3imag)%md a[i+offset+p*3] = (a0-a2-a1na3imag)%md rot *= rate3[(~s & -~s).bit_length()] rot %= md 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)%md a[i+offset+p] = (l-r)*irot%md irot *= irate2[(~s & -~s).bit_length()] irot %= md le -= 1 else: p = 1 << (h-le) irot = 1 for s in range(1 << (le-2)): irot2 = irot*irot%md irot3 = irot2*irot%md 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%md a[i+offset] = (a0+a1+a2+a3)%md a[i+offset+p] = (a0-a1+a2na3iimag)*irot%md a[i+offset+p*2] = (a0+a1-a2-a3)*irot2%md a[i+offset+p*3] = (a0-a1-a2na3iimag)*irot3%md irot *= irate3[(~s & -~s).bit_length()] irot %= md le -= 2 def multiply(s, t): n = len(s) m = len(t) if min(n, m) <= 60: 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] %= md else: for j in range(m): a[i+j] += s[i]*t[j] return [x%md for x in a] a = s.copy() b = t.copy() z = 1 << (n+m-2).bit_length() a += [0]*(z-n) b += [0]*(z-m) butterfly(a) butterfly(b) for i in range(z): a[i] *= b[i] a[i] %= md butterfly_inv(a) a = a[:n+m-1] iz = pow(z, md-2, md) return [v*iz%md for v in a] from collections import Counter n_max = 300005 fac = [1] for i in range(1, n_max+1): fac.append(fac[-1]*i%md) ifac = [1]*(n_max+1) ifac[n_max] = pow(fac[n_max], md-2, md) for i in range(n_max-1, 1, -1): ifac[i] = ifac[i+1]*(i+1)%md s = SI() aa = [1] for c in Counter(s).values(): aa = multiply(aa, ifac[:c+1]) ans = 0 for i, a in enumerate(aa[1:], 1): ans += a*fac[i]%md ans %= md print(ans)