結果
問題 | No.732 3PrimeCounting |
ユーザー | onakasuitacity |
提出日時 | 2020-10-17 14:51:03 |
言語 | PyPy3 (7.3.15) |
結果 |
WA
|
実行時間 | - |
コード長 | 1,794 bytes |
コンパイル時間 | 309 ms |
コンパイル使用メモリ | 87,108 KB |
実行使用メモリ | 271,580 KB |
最終ジャッジ日時 | 2023-09-28 08:01:52 |
合計ジャッジ時間 | 20,733 ms |
ジャッジサーバーID (参考情報) |
judge15 / judge11 |
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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 | 63 ms
71,424 KB |
testcase_01 | AC | 64 ms
71,228 KB |
testcase_02 | AC | 64 ms
71,184 KB |
testcase_03 | AC | 62 ms
71,292 KB |
testcase_04 | AC | 63 ms
71,540 KB |
testcase_05 | AC | 67 ms
71,000 KB |
testcase_06 | AC | 82 ms
76,712 KB |
testcase_07 | AC | 70 ms
76,100 KB |
testcase_08 | AC | 71 ms
76,072 KB |
testcase_09 | AC | 71 ms
76,420 KB |
testcase_10 | AC | 70 ms
76,420 KB |
testcase_11 | AC | 71 ms
76,224 KB |
testcase_12 | AC | 70 ms
76,284 KB |
testcase_13 | AC | 69 ms
76,396 KB |
testcase_14 | AC | 69 ms
75,900 KB |
testcase_15 | AC | 69 ms
76,096 KB |
testcase_16 | AC | 69 ms
76,216 KB |
testcase_17 | AC | 72 ms
76,128 KB |
testcase_18 | AC | 70 ms
76,008 KB |
testcase_19 | AC | 69 ms
76,304 KB |
testcase_20 | AC | 81 ms
76,604 KB |
testcase_21 | AC | 87 ms
77,432 KB |
testcase_22 | AC | 88 ms
77,624 KB |
testcase_23 | AC | 73 ms
76,308 KB |
testcase_24 | AC | 76 ms
76,472 KB |
testcase_25 | AC | 99 ms
79,056 KB |
testcase_26 | AC | 101 ms
78,588 KB |
testcase_27 | AC | 81 ms
77,284 KB |
testcase_28 | AC | 84 ms
77,060 KB |
testcase_29 | AC | 87 ms
77,520 KB |
testcase_30 | AC | 87 ms
77,520 KB |
testcase_31 | AC | 89 ms
77,592 KB |
testcase_32 | AC | 97 ms
78,664 KB |
testcase_33 | AC | 96 ms
78,712 KB |
testcase_34 | AC | 98 ms
78,668 KB |
testcase_35 | AC | 99 ms
78,728 KB |
testcase_36 | AC | 97 ms
78,748 KB |
testcase_37 | AC | 75 ms
76,568 KB |
testcase_38 | AC | 75 ms
76,576 KB |
testcase_39 | AC | 99 ms
78,636 KB |
testcase_40 | AC | 91 ms
77,584 KB |
testcase_41 | AC | 88 ms
77,608 KB |
testcase_42 | AC | 88 ms
77,472 KB |
testcase_43 | AC | 88 ms
77,464 KB |
testcase_44 | AC | 89 ms
77,452 KB |
testcase_45 | AC | 89 ms
77,132 KB |
testcase_46 | AC | 84 ms
77,368 KB |
testcase_47 | AC | 87 ms
77,468 KB |
testcase_48 | AC | 103 ms
79,228 KB |
testcase_49 | AC | 104 ms
79,180 KB |
testcase_50 | AC | 90 ms
77,468 KB |
testcase_51 | AC | 88 ms
77,416 KB |
testcase_52 | AC | 82 ms
77,600 KB |
testcase_53 | AC | 139 ms
99,556 KB |
testcase_54 | WA | - |
testcase_55 | WA | - |
testcase_56 | WA | - |
testcase_57 | AC | 194 ms
108,684 KB |
testcase_58 | AC | 185 ms
108,472 KB |
testcase_59 | AC | 137 ms
99,576 KB |
testcase_60 | AC | 255 ms
137,968 KB |
testcase_61 | AC | 251 ms
137,712 KB |
testcase_62 | WA | - |
testcase_63 | WA | - |
testcase_64 | WA | - |
testcase_65 | WA | - |
testcase_66 | AC | 81 ms
76,156 KB |
testcase_67 | AC | 79 ms
76,356 KB |
testcase_68 | WA | - |
testcase_69 | WA | - |
testcase_70 | WA | - |
testcase_71 | WA | - |
testcase_72 | WA | - |
testcase_73 | WA | - |
testcase_74 | WA | - |
testcase_75 | AC | 101 ms
79,244 KB |
testcase_76 | WA | - |
testcase_77 | AC | 185 ms
109,112 KB |
testcase_78 | WA | - |
testcase_79 | WA | - |
testcase_80 | WA | - |
testcase_81 | WA | - |
testcase_82 | AC | 83 ms
77,368 KB |
testcase_83 | AC | 179 ms
109,596 KB |
testcase_84 | AC | 248 ms
126,788 KB |
testcase_85 | WA | - |
testcase_86 | WA | - |
testcase_87 | WA | - |
testcase_88 | WA | - |
ソースコード
import sys INF = 1 << 60 MOD = 998244353 sys.setrecursionlimit(2147483647) input = lambda:sys.stdin.readline().rstrip() prime = 998244353 root = 3 def _fmt(A, inverse = False): N = len(A) logN = (N - 1).bit_length() base = pow(root, (prime - 1) // N * (1 - 2 * inverse) % (prime - 1), prime) step = N for k in range(logN): step >>= 1 w = pow(base, step, prime) wj = 1 nA = [0] * N for j in range(1 << k): for i in range(1 << logN - k - 1): s, t = i + j * step, i + j * step + (N >> 1) ps, pt = i + j * step * 2, i + j * step * 2 + step nA[s], nA[t] = (A[ps] + A[pt] * wj) % prime, (A[ps] - A[pt] * wj) % prime wj = (wj * w) % prime A = nA return A def convolution(f, g): N = 1 << (len(f) + len(g) - 2).bit_length() Ff, Fg = _fmt(f + [0] * (N - len(f))), _fmt(g + [0] * (N - len(g))) N_inv = pow(N, prime - 2, prime) fg = _fmt([a * b % prime * N_inv % prime for a, b in zip(Ff, Fg)], inverse = True) del fg[len(f) + len(g) - 1:] return fg def resolve(): n = int(input()) N = 3 * n primes = [] sieve = list(range(N + 1)) for i in range(2, N + 1): if sieve[i] == i: primes.append(i) for p in primes: if sieve[i] < p or i * p > N: break sieve[i * p] = p f = [0] * (n + 1) g = [0] * (2 * n + 1) for p in primes: if p <= n: f[p] += 1 g[p * 2] += 1 a = 0 f3 = convolution(f, convolution(f, f)) for p in primes: a += f3[p] b = 0 fg = convolution(f, g) for p in primes: b += fg[p] ans = (a - 3 * b) * pow(6, MOD - 2, MOD) % MOD print(ans) resolve()