結果

問題 No.8034 7 problems
ユーザー furafura
提出日時 2023-09-18 17:29:16
言語 Python3
(3.12.2 + numpy 1.26.4 + scipy 1.12.0)
結果
AC  
実行時間 661 ms / 2,000 ms
コード長 5,308 bytes
コンパイル時間 108 ms
コンパイル使用メモリ 12,672 KB
実行使用メモリ 22,656 KB
最終ジャッジ日時 2024-07-05 07:36:35
合計ジャッジ時間 31,443 ms
ジャッジサーバーID
(参考情報)
judge5 / judge2
このコードへのチャレンジ
(要ログイン)

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 470 ms
22,400 KB
testcase_01 AC 456 ms
22,400 KB
testcase_02 AC 580 ms
22,400 KB
testcase_03 AC 497 ms
22,400 KB
testcase_04 AC 502 ms
22,400 KB
testcase_05 AC 563 ms
22,272 KB
testcase_06 AC 542 ms
22,528 KB
testcase_07 AC 549 ms
22,400 KB
testcase_08 AC 538 ms
22,400 KB
testcase_09 AC 565 ms
22,400 KB
testcase_10 AC 500 ms
22,400 KB
testcase_11 AC 535 ms
22,400 KB
testcase_12 AC 511 ms
22,400 KB
testcase_13 AC 532 ms
22,400 KB
testcase_14 AC 523 ms
22,400 KB
testcase_15 AC 530 ms
22,400 KB
testcase_16 AC 527 ms
22,400 KB
testcase_17 AC 527 ms
22,400 KB
testcase_18 AC 607 ms
22,528 KB
testcase_19 AC 534 ms
22,656 KB
testcase_20 AC 557 ms
22,272 KB
testcase_21 AC 490 ms
22,528 KB
testcase_22 AC 572 ms
22,528 KB
testcase_23 AC 526 ms
22,400 KB
testcase_24 AC 586 ms
22,656 KB
testcase_25 AC 574 ms
22,528 KB
testcase_26 AC 490 ms
22,528 KB
testcase_27 AC 621 ms
22,400 KB
testcase_28 AC 564 ms
22,400 KB
testcase_29 AC 546 ms
22,400 KB
testcase_30 AC 483 ms
22,400 KB
testcase_31 AC 566 ms
22,400 KB
testcase_32 AC 516 ms
22,528 KB
testcase_33 AC 559 ms
22,400 KB
testcase_34 AC 489 ms
22,272 KB
testcase_35 AC 661 ms
22,400 KB
testcase_36 AC 533 ms
22,528 KB
testcase_37 AC 490 ms
22,400 KB
testcase_38 AC 555 ms
22,400 KB
testcase_39 AC 572 ms
22,400 KB
testcase_40 AC 588 ms
22,272 KB
testcase_41 AC 508 ms
22,528 KB
testcase_42 AC 558 ms
22,400 KB
testcase_43 AC 601 ms
22,400 KB
testcase_44 AC 495 ms
22,400 KB
testcase_45 AC 527 ms
22,400 KB
testcase_46 AC 506 ms
22,400 KB
testcase_47 AC 511 ms
22,400 KB
testcase_48 AC 504 ms
22,400 KB
testcase_49 AC 590 ms
22,272 KB
testcase_50 AC 506 ms
22,400 KB
testcase_51 AC 500 ms
22,400 KB
testcase_52 AC 455 ms
22,400 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

MOD = int(1e9 + 7)

modfact = [1] * 100001
for i in range(100000):
    modfact[i + 1] = modfact[i] * (i + 1) % MOD

def modinv(n):
    return pow(n, MOD - 2, MOD)


# s = '100111011000111101000110111111101011110100110010111011101101110110111011011111100111111010111100101100001110011011101011100111110000111000011110010111010101011101101000110000111010101101001110110111001010101100110101111011111101110110111111001111110101111001011000011100110111010111011101101001110100011000011101000110010111011101101110110011111000011101110110000111010010101110110101111011111101110110111111001111110101111001011000011100110111010111011101101001100111001011010110001110101111000011101001111001111011111110101111001111000011110011111010111100101110101010111010010011101011110000111010011101101110010111011101101111111001111011111110101111001111000011100100110010111010001100001101101101100010101100100100110111011101110110111111010001100001110111011011101101001110010011001011101001110001111010001101001111100111011111110101111001011000011101110110111011100111110101111010111101111101111110110111011111100011110100011010011101001111010011001011110011110010111010011110011111010111101011000001111011111011111110011110010111010011110011110010111010011110011110100011010010101100110001111010001101111111010111101001100101110111011011101001001010101101100011110100110111111000111101000110111111101011110100110010111011101101110100000111011101101111110000111010011100100110000111011101101001110100011001011101110110111011101111101111111010011100111110101110100111010111100001111001111101011110010111010101011101110011110111111101011110011110000111001111100001110111111101111100001111010011101001100001110000111101001101111110111011010011101000110000111010111101001110011111000011100100110010111010111101001111010011001011101001111001011101010101110110101111011111101011110111111001001100101010110011010111101001110111011011111110011111010111010111101111110000111101111101111010110001100101101001110101011011111110101100111011010011101011110000111011101101111111001111101011100010110010111101001100101110111011011111110011110010111010011110011111010111101011001010110111011010011110100111001111101011101001111010011001011101110110111111000111101000110111111101011110100110010111011101101110011000111101001101111110001111010001101111111010111101001100101110111011011101001010110111011011111101011111100111011111110010110100111011101101111111001111011111110101111011111000011110100110111111101001100101110100111001111101001111001111101011110010111010101011101110010110000111011101101110110010011000011101101111010111011101101001110101111011111110101111001111001011101001111001111000011110010110010111100101110101110101111010011101110110111111100111110101110101111011111100001110111011011111101011110100111101001100001110100111000111101000110100111101111101111101100011101001101111111001111010001101001111010011000011110100110111111010111101001010110010011100100001101100011101111101111011000101100001011110011100101010110110111110010011001011110111110000111101001110100110000111000011101101110000111100101101001111011111011111101101110111111101001101111110110111001011101110110000111100111100001110100101011101110100110000111001001100001111001111010001101001010110011010111101111110111011011111100001111010011000011101001110100011000011101011110000111011101100001111001011000011111010111010111100111100101110100111100111110101111010111011101101001110111011000011110010111010111010111101111111010011011111100111110000111100111101000110111111101011101101110010111010011100100110010111010111101001111001011101010101110'
# while s != '':
#     print(chr(int(s[:7], base=2)), end='')
#     s = s[7:]

# Nchoutennnogurafugaaru.
# hajime,konogurafunihahennganai.
# konogurafuniN-1kaisousasuru.
# Ikaimenosousadeha[1,I]nohannideichiyourannsuuwomochiiteseisuuAwoseiseishi,
# choutennI+1tochoutennAnoaidanihennwotsuikasuru.
# sousagaowattaatonihakigadekiteiru.
# kokode,kinosukoawo,2ijouNikanosubetenoseisuuJnitsuitenochoutenn1tochoutennJnokyorinosouwatoteigisuru.
# ranndamunikouseisarerukinosukoanokitaichiwoXtoshitatoki,
# N!Xwo10^9+7dewattaamariwomotomenasai.
# tadashi,konoataihakanarazuseisuuninarukotogashoumeidekiru.

# n = 3
# score sum = 5
# 1 - 2 - 3 : 3
# 1 - 2     : 2
#   \ 3

# n = 4
# score sum = 26
# 1 - 2 - 3 - 4 : 6
# 1 - 2 - 3     : 5
#       \ 4
# 1 - 2 - 3     : 4
#   \ 4
# 1 - 2 - 4     : 4
#   \ 3
# 1 - 2         : 4
#   \ 3 - 4
# 1 - 2         : 3
#   \ 3
#   \ 4

dp = [0] * 100000  # dp[i] = (頂点 i と頂点 1 との距離の期待値)
cum = [0] * 100001 # cum[i] = dp[0] + ... + dp[i - 1]
for i in range(1, 100000):
    dp[i] = (cum[i] * modinv(i) + 1) % MOD
    cum[i + 1] = (cum[i] + dp[i]) % MOD


t = -1  # number of test cases

def question1(n):
    return n * n


def question2(n):
    return (n ** 3 - n) * 1 + n * n


def question3(n):
    return t


def question4(n):
    return 4 * n ** 2 + 17


def question5(n):
    return pow(n, n ** 3, MOD)


def question6(n):
    return n


def question7(n):
    return cum[n] * modfact[n] % MOD


t = int(input())
for i in range(t):
    n = int(input())

    if i > 0:
        print()
    print(question1(n))
    print(question2(n))
    print(question3(n))
    print(question4(n))
    print(question5(n))
    print(question6(n))
    print(question7(n))
0