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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#155368#2172. Trailing Digitswarwolf#AC ✓205ms8472kbPython31.2kb2023-09-01 16:11:022023-09-01 16:11:03

Judging History

你现在查看的是最新测评结果

  • [2023-09-01 16:11:03]
  • 评测
  • 测评结果:AC
  • 用时:205ms
  • 内存:8472kb
  • [2023-09-01 16:11:02]
  • 提交

answer

def gcd(a, b):
    if b == 0:
        return a
    return gcd(b, a % b)

def exgcd(a, b):
    if b == 0:
        return 1, 0
    else:
        y, x = exgcd(b, a % b)
        y -= a // b * x
        return x, y

def check(mid, b, d, a):
    c = 0
    e = 1
    for i in range(0, mid):
        c = c * 10 + d
        e = e * 10
    # print(c)
    g = gcd(b, e)
    if c % g != 0:
        return False
    x, y = exgcd(b, e)
    y = -y
    # print(x, y, x * b - e * y)
    x = x * (c // g)
    y = y * (c // g)
    if b * x -  e * y < 0:
        x = -x
        y = -y
    # print(x, x * b, y * e, c, b * x - e * y)
    dx, dy = e // abs(g), b // abs(g)
    y = (y % dy + dy) % dy
    x = (c + e * y) // b
    if x == 0:
        x += dx
    # print(x, x * b, y * e, c, b * x - e * y)
    return x * b <= a

if __name__ == '__main__':
    x = input().split()
    b, d, A = int(x[0]), int(x[1]), x[2]
    a = 0
    for s in A:
        a = a * 10 + int(s)

    l, r = 0, 10000
    ans = 0
    while l <= r:
        mid = (l + r) // 2
        if check(mid, b, d, a):
            ans = mid
            l = mid + 1
        else :
            r = mid - 1

    print(ans)

详细

Test #1:

score: 100
Accepted
time: 205ms
memory: 8416kb

input:

583764 4 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...

output:

9994

result:

ok single line: '9994'

Test #2:

score: 0
Accepted
time: 29ms
memory: 8292kb

input:

583764 2 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...

output:

1

result:

ok single line: '1'

Test #3:

score: 0
Accepted
time: 91ms
memory: 8256kb

input:

583764 0 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...

output:

9994

result:

ok single line: '9994'

Test #4:

score: 0
Accepted
time: 22ms
memory: 8336kb

input:

128 2 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 78ms
memory: 8340kb

input:

128 0 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...

output:

9999

result:

ok single line: '9999'

Test #6:

score: 0
Accepted
time: 22ms
memory: 8292kb

input:

128 8 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...

output:

3

result:

ok single line: '3'

Test #7:

score: 0
Accepted
time: 201ms
memory: 8472kb

input:

3 3 55802206918423003893896315437300626376057145877165718053161687017453870807302881078256104706963902760838904877856766097863294016816301929129087982233755684031647475630606376165761975977308833624522873445883881504577885184154278811497905038590430176865627909451134487429402914168708312207750073308...

output:

10000

result:

ok single line: '10000'

Test #8:

score: 0
Accepted
time: 187ms
memory: 8256kb

input:

2 2 55802206918423003893896315437300626376057145877165718053161687017453870807302881078256104706963902760838904877856766097863294016816301929129087982233755684031647475630606376165761975977308833624522873445883881504577885184154278811497905038590430176865627909451134487429402914168708312207750073308...

output:

10000

result:

ok single line: '10000'

Test #9:

score: 0
Accepted
time: 19ms
memory: 8344kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #10:

score: 0
Accepted
time: 19ms
memory: 8392kb

input:

1 2 1

output:

0

result:

ok single line: '0'

Test #11:

score: 0
Accepted
time: 11ms
memory: 8332kb

input:

999999 1 999999

output:

0

result:

ok single line: '0'

Test #12:

score: 0
Accepted
time: 16ms
memory: 8204kb

input:

999999 0 999999

output:

0

result:

ok single line: '0'

Test #13:

score: 0
Accepted
time: 182ms
memory: 8464kb

input:

333333 9 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

9996

result:

ok single line: '9996'

Test #14:

score: 0
Accepted
time: 182ms
memory: 8416kb

input:

333333 9 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

9996

result:

ok single line: '9996'

Test #15:

score: 0
Accepted
time: 19ms
memory: 8268kb

input:

44 3 615164488012970354555742215744

output:

0

result:

ok single line: '0'

Test #16:

score: 0
Accepted
time: 6ms
memory: 8324kb

input:

8 0 9999999999999999999

output:

18

result:

ok single line: '18'

Test #17:

score: 0
Accepted
time: 7ms
memory: 8332kb

input:

8 2 9999999999999999999

output:

1

result:

ok single line: '1'

Test #18:

score: 0
Accepted
time: 18ms
memory: 8388kb

input:

8 4 9999999999999999999

output:

2

result:

ok single line: '2'

Test #19:

score: 0
Accepted
time: 13ms
memory: 8236kb

input:

8 6 9999999999999999999

output:

1

result:

ok single line: '1'

Test #20:

score: 0
Accepted
time: 19ms
memory: 8384kb

input:

8 8 9999999999999999999

output:

19

result:

ok single line: '19'

Test #21:

score: 0
Accepted
time: 16ms
memory: 8208kb

input:

262144 0 9999999999999999999

output:

18

result:

ok single line: '18'

Test #22:

score: 0
Accepted
time: 14ms
memory: 8336kb

input:

262144 2 9999999999999999999

output:

1

result:

ok single line: '1'

Test #23:

score: 0
Accepted
time: 12ms
memory: 8256kb

input:

262144 4 9999999999999999999

output:

2

result:

ok single line: '2'

Test #24:

score: 0
Accepted
time: 19ms
memory: 8336kb

input:

262144 6 9999999999999999999

output:

1

result:

ok single line: '1'

Test #25:

score: 0
Accepted
time: 19ms
memory: 8276kb

input:

262144 8 9999999999999999999

output:

3

result:

ok single line: '3'

Test #26:

score: 0
Accepted
time: 7ms
memory: 8128kb

input:

625 0 1000

output:

0

result:

ok single line: '0'

Test #27:

score: 0
Accepted
time: 9ms
memory: 8324kb

input:

625 0 10000

output:

4

result:

ok single line: '4'

Test #28:

score: 0
Accepted
time: 5ms
memory: 8188kb

input:

625 0 10000000000

output:

10

result:

ok single line: '10'

Test #29:

score: 0
Accepted
time: 14ms
memory: 8252kb

input:

625 5 1000

output:

1

result:

ok single line: '1'

Test #30:

score: 0
Accepted
time: 7ms
memory: 8388kb

input:

625 5 10000

output:

1

result:

ok single line: '1'

Test #31:

score: 0
Accepted
time: 13ms
memory: 8244kb

input:

625 5 10000000000

output:

1

result:

ok single line: '1'

Test #32:

score: 0
Accepted
time: 24ms
memory: 8340kb

input:

416113 2 910206714449570543178771288072

output:

24

result:

ok single line: '24'

Test #33:

score: 0
Accepted
time: 13ms
memory: 8416kb

input:

155727 8 595222817557156175409864490146

output:

24

result:

ok single line: '24'

Test #34:

score: 0
Accepted
time: 11ms
memory: 8324kb

input:

482185 7 175891766468946506850940294915

output:

0

result:

ok single line: '0'

Test #35:

score: 0
Accepted
time: 13ms
memory: 8352kb

input:

809543 9 706310782306606357041238521573

output:

24

result:

ok single line: '24'

Test #36:

score: 0
Accepted
time: 10ms
memory: 8264kb

input:

784349 2 140172854681543411198107462791

output:

23

result:

ok single line: '23'

Test #37:

score: 0
Accepted
time: 9ms
memory: 8304kb

input:

884771 6 878053904682776335641403365951

output:

24

result:

ok single line: '24'

Test #38:

score: 0
Accepted
time: 18ms
memory: 8320kb

input:

285115 7 510637551593904109970235924750

output:

0

result:

ok single line: '0'

Test #39:

score: 0
Accepted
time: 197ms
memory: 8368kb

input:

446344 8 903873563961494937101879656386579063234122909426702463868191198982245137424039427440175427556962397041118420136726887092853026726934104808566629597404508140480575992676594274115233279041150264028795434104067914849478866456192407793002021965833468079778630255143444525376989079382208643362458...

output:

9995

result:

ok single line: '9995'

Test #40:

score: 0
Accepted
time: 202ms
memory: 8388kb

input:

217176 8 746720628343704092031643549114635655136791126811051782038588698583562173486474660147736305824479303770760232163768352183708565173054518463256824577064413625680194290063831377238862971071846843280498770970154459912493995293604486306696113122808160233657375115399216282414502057456592999985641...

output:

9995

result:

ok single line: '9995'

Test #41:

score: 0
Accepted
time: 195ms
memory: 8436kb

input:

591976 8 997688187554288608289696884444974394245886896647212441828767818311997092160967371255532165988508545021286506736704730143980876547206426443074075450563958052385014127642212294228193051916496652316016549674647007259802903947613096796599924760429663473913319454783603356257452483582255380157929...

output:

9995

result:

ok single line: '9995'

Test #42:

score: 0
Accepted
time: 203ms
memory: 8368kb

input:

308945 5 962476931095598250044305868135885243557388313522332291867917574431355233922993304117647070995131553330332941633745363521615864814876653718068119371777377239796738753166939860072333764723729655459600360732826690810931322099300456303655259230988921806364953099639264334432713159446169102673437...

output:

9995

result:

ok single line: '9995'

Test #43:

score: 0
Accepted
time: 192ms
memory: 8400kb

input:

953215 5 481379773305937010787000848653505393811784682453377327931890614700475555426776917124183304939480619234810630040231631970261984136707831904841144438858481007543348015107439662369399747861912671557090065865016622444295889867974657697201792908751777382148402012154785104292434498920894247193558...

output:

9994

result:

ok single line: '9994'

Test #44:

score: 0
Accepted
time: 201ms
memory: 8460kb

input:

711785 5 624522418749983727962202416596678244083668011938141912561864354048413105915711234753191969044814346136404671485469428764114784402574391892322067753961421343947532626292641042989488918633658784104942163903053502260790194000740256301403470440332255977429369236483168636332974165475448631524588...

output:

9994

result:

ok single line: '9994'