QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#381633 | #2172. Trailing Digits | SolitaryDream# | AC ✓ | 3ms | 3892kb | C++17 | 1.2kb | 2024-04-07 19:44:23 | 2024-04-07 19:44:23 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define int long long
const int N=1e6+1e3+7;
int b,d;
string a;
bool cmp(const string &a,const string &b)
{
if(a.size()!=b.size())
return a.size()<b.size();
return a<b;
}
int exgcd(int a,int b,int &x,int &y)
{
if(!b)
{
x=1,y=0;
return a;
}
int g=exgcd(b,a%b,y,x);
y-=a/b*x;
return g;
}
int chk(int w)
{
string s;
for(int i=1;i<=w;i++)
s+=to_string(d);
if(cmp(a,s))
return 0;
int l=0,r=1e18;
while(r-l>1)
{
int mid=(l+r)>>1;
if(cmp(a,to_string(mid)+s))
r=mid;
else
l=mid;
}
int A=r-1;
int sum=0,p=1;
for(int i=1;i<=w;i++)
p=p*10%b,sum=(sum*10+d)%b;
sum=(b-sum)%b;
int x,y;
int g=exgcd(p,b,x,y);
if(sum%g)
return 0;
int mod=b/g;
x*=sum/g;
int x0=(x%mod+mod)%mod;
if(!d)
x0+=mod;
return x0<=A;
}
signed main()
{
cin>>b>>d>>a;
int l=0,r=a.size()+1;
while(r-l>1)
{
int mid=(l+r)>>1;
if(chk(mid))
l=mid;
else
r=mid;
}
cout<<l<<"\n";
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 3640kb
input:
583764 4 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...
output:
9994
result:
ok single line: '9994'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3860kb
input:
583764 2 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...
output:
1
result:
ok single line: '1'
Test #3:
score: 0
Accepted
time: 3ms
memory: 3656kb
input:
583764 0 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...
output:
9994
result:
ok single line: '9994'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3672kb
input:
128 2 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 3ms
memory: 3884kb
input:
128 0 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...
output:
9999
result:
ok single line: '9999'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3796kb
input:
128 8 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...
output:
3
result:
ok single line: '3'
Test #7:
score: 0
Accepted
time: 3ms
memory: 3660kb
input:
3 3 55802206918423003893896315437300626376057145877165718053161687017453870807302881078256104706963902760838904877856766097863294016816301929129087982233755684031647475630606376165761975977308833624522873445883881504577885184154278811497905038590430176865627909451134487429402914168708312207750073308...
output:
10000
result:
ok single line: '10000'
Test #8:
score: 0
Accepted
time: 3ms
memory: 3636kb
input:
2 2 55802206918423003893896315437300626376057145877165718053161687017453870807302881078256104706963902760838904877856766097863294016816301929129087982233755684031647475630606376165761975977308833624522873445883881504577885184154278811497905038590430176865627909451134487429402914168708312207750073308...
output:
10000
result:
ok single line: '10000'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
1 2 1
output:
0
result:
ok single line: '0'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
999999 1 999999
output:
0
result:
ok single line: '0'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
999999 0 999999
output:
0
result:
ok single line: '0'
Test #13:
score: 0
Accepted
time: 2ms
memory: 3892kb
input:
333333 9 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
9996
result:
ok single line: '9996'
Test #14:
score: 0
Accepted
time: 2ms
memory: 3656kb
input:
333333 9 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
9996
result:
ok single line: '9996'
Test #15:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
44 3 615164488012970354555742215744
output:
0
result:
ok single line: '0'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
8 0 9999999999999999999
output:
18
result:
ok single line: '18'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
8 2 9999999999999999999
output:
1
result:
ok single line: '1'
Test #18:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
8 4 9999999999999999999
output:
2
result:
ok single line: '2'
Test #19:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
8 6 9999999999999999999
output:
1
result:
ok single line: '1'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
8 8 9999999999999999999
output:
19
result:
ok single line: '19'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
262144 0 9999999999999999999
output:
18
result:
ok single line: '18'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
262144 2 9999999999999999999
output:
1
result:
ok single line: '1'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
262144 4 9999999999999999999
output:
2
result:
ok single line: '2'
Test #24:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
262144 6 9999999999999999999
output:
1
result:
ok single line: '1'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
262144 8 9999999999999999999
output:
3
result:
ok single line: '3'
Test #26:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
625 0 1000
output:
0
result:
ok single line: '0'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
625 0 10000
output:
4
result:
ok single line: '4'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
625 0 10000000000
output:
10
result:
ok single line: '10'
Test #29:
score: 0
Accepted
time: 0ms
memory: 3492kb
input:
625 5 1000
output:
1
result:
ok single line: '1'
Test #30:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
625 5 10000
output:
1
result:
ok single line: '1'
Test #31:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
625 5 10000000000
output:
1
result:
ok single line: '1'
Test #32:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
416113 2 910206714449570543178771288072
output:
24
result:
ok single line: '24'
Test #33:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
155727 8 595222817557156175409864490146
output:
24
result:
ok single line: '24'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
482185 7 175891766468946506850940294915
output:
0
result:
ok single line: '0'
Test #35:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
809543 9 706310782306606357041238521573
output:
24
result:
ok single line: '24'
Test #36:
score: 0
Accepted
time: 0ms
memory: 3492kb
input:
784349 2 140172854681543411198107462791
output:
23
result:
ok single line: '23'
Test #37:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
884771 6 878053904682776335641403365951
output:
24
result:
ok single line: '24'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3516kb
input:
285115 7 510637551593904109970235924750
output:
0
result:
ok single line: '0'
Test #39:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
446344 8 903873563961494937101879656386579063234122909426702463868191198982245137424039427440175427556962397041118420136726887092853026726934104808566629597404508140480575992676594274115233279041150264028795434104067914849478866456192407793002021965833468079778630255143444525376989079382208643362458...
output:
9995
result:
ok single line: '9995'
Test #40:
score: 0
Accepted
time: 3ms
memory: 3852kb
input:
217176 8 746720628343704092031643549114635655136791126811051782038588698583562173486474660147736305824479303770760232163768352183708565173054518463256824577064413625680194290063831377238862971071846843280498770970154459912493995293604486306696113122808160233657375115399216282414502057456592999985641...
output:
9995
result:
ok single line: '9995'
Test #41:
score: 0
Accepted
time: 3ms
memory: 3880kb
input:
591976 8 997688187554288608289696884444974394245886896647212441828767818311997092160967371255532165988508545021286506736704730143980876547206426443074075450563958052385014127642212294228193051916496652316016549674647007259802903947613096796599924760429663473913319454783603356257452483582255380157929...
output:
9995
result:
ok single line: '9995'
Test #42:
score: 0
Accepted
time: 2ms
memory: 3632kb
input:
308945 5 962476931095598250044305868135885243557388313522332291867917574431355233922993304117647070995131553330332941633745363521615864814876653718068119371777377239796738753166939860072333764723729655459600360732826690810931322099300456303655259230988921806364953099639264334432713159446169102673437...
output:
9995
result:
ok single line: '9995'
Test #43:
score: 0
Accepted
time: 3ms
memory: 3596kb
input:
953215 5 481379773305937010787000848653505393811784682453377327931890614700475555426776917124183304939480619234810630040231631970261984136707831904841144438858481007543348015107439662369399747861912671557090065865016622444295889867974657697201792908751777382148402012154785104292434498920894247193558...
output:
9994
result:
ok single line: '9994'
Test #44:
score: 0
Accepted
time: 3ms
memory: 3660kb
input:
711785 5 624522418749983727962202416596678244083668011938141912561864354048413105915711234753191969044814346136404671485469428764114784402574391892322067753961421343947532626292641042989488918633658784104942163903053502260790194000740256301403470440332255977429369236483168636332974165475448631524588...
output:
9994
result:
ok single line: '9994'