QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#46144 | #2172. Trailing Digits | dmga44 | AC ✓ | 4ms | 3860kb | C++17 | 2.6kb | 2022-08-26 06:48:26 | 2022-08-26 06:48:29 |
Judging History
answer
// #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops", "omit-frame-pointer", "inline")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.1,sse4.2,popcnt,abm,mmx,avx,avx2,fma,tune=native")
// #pragma GCC option("arch=native", "no-zero-upper") // Enable AVX
/// UH Top
#include <bits/stdc++.h>
#define db(x) cerr << #x << ':' << (x) << '\n';
#define all(v) (v).begin(), (v).end()
#define allr(v) (v).rbegin(), (v).rend()
#define int ll
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
// typedef __int128_t int128;
typedef pair<ll, ll> pii;
typedef pair<ld, ll> pdi;
typedef pair<ld, ld> pdd;
typedef pair<ld, pdd> pdp;
typedef pair<string, ll> psi;
typedef pair<ll, string> pls;
typedef pair<string, string> pss;
typedef pair<ll, pii> pip;
typedef pair<pii, pii> ppp;
typedef complex<ld> point;
typedef vector<point> polygon;
typedef vector<ll> vi;
typedef pair<point, int> ppi;
#define prec(n) \
cout.precision(n); \
cout << fixed
const ll mod = (1e9 + 7);
const ld eps = (1e-9);
const ll oo = (ll)(1e18 + 5);
#define pi acos(-1)
#define MAXN (ll)(1e6 + 5)
ll gcd(ll a, ll b, ll &x, ll &y)
{
if(b == 0)
return x = 1, y = 0, a;
ll r = gcd(b, a % b, y, x);
y -= a / b * x;
return r;
}
int32_t main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
ll b,d;
string a;
cin >> b >> d >> a;
vector<int> cmp(a.size()+1);
reverse(all(a));
cmp[0]=1;
for(int i=0;i<a.size();i++)
{
if(a[i]>'0'+d)
cmp[i+1]=1;
else if(a[i]<'0'+d)
cmp[i+1]=-1;
else
cmp[i+1]=cmp[i];
}
ll mul=1;
ll res=0;
for(int i=1;i<=a.size();i++)
{
mul=(mul*10)%b;
res=(res*10+d)%b;
ll fal=(b-res)%b;
ll x,y;
ll g=gcd(mul,b,x,y);
// cout << '\n';
// cout << mul << ' ' << fal << ' ' << g << '\n';
if(fal%g)
{
cout << i-1 << '\n';
return 0;
}
if(i+10<a.size())
continue;
ll v1=b/g;
ll m1=mul/g;
fal/=g;
if(x>=0)
x%=v1;
else
x=(v1-((-x)%v1))%v1;
x=(x*fal)%v1;
if(!d && !x)
{
x=v1;
}
ll max=0;
for(int j=a.size()-1;j>=i;j--)
max=(max*10+a[j]-'0');
if(cmp[i]==-1)
max--;
// cout << max << ' ' << x << '\n';
if(max<x)
{
cout << i-1 << '\n';
return 0;
}
}
cout << a.size() << '\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3776kb
input:
583764 4 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...
output:
9994
result:
ok single line: '9994'
Test #2:
score: 0
Accepted
time: 2ms
memory: 3760kb
input:
583764 2 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...
output:
1
result:
ok single line: '1'
Test #3:
score: 0
Accepted
time: 4ms
memory: 3684kb
input:
583764 0 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...
output:
9994
result:
ok single line: '9994'
Test #4:
score: 0
Accepted
time: 2ms
memory: 3632kb
input:
128 2 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 2ms
memory: 3776kb
input:
128 0 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...
output:
9999
result:
ok single line: '9999'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3784kb
input:
128 8 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...
output:
3
result:
ok single line: '3'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3696kb
input:
3 3 55802206918423003893896315437300626376057145877165718053161687017453870807302881078256104706963902760838904877856766097863294016816301929129087982233755684031647475630606376165761975977308833624522873445883881504577885184154278811497905038590430176865627909451134487429402914168708312207750073308...
output:
10000
result:
ok single line: '10000'
Test #8:
score: 0
Accepted
time: 2ms
memory: 3696kb
input:
2 2 55802206918423003893896315437300626376057145877165718053161687017453870807302881078256104706963902760838904877856766097863294016816301929129087982233755684031647475630606376165761975977308833624522873445883881504577885184154278811497905038590430176865627909451134487429402914168708312207750073308...
output:
10000
result:
ok single line: '10000'
Test #9:
score: 0
Accepted
time: 2ms
memory: 3588kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
1 2 1
output:
0
result:
ok single line: '0'
Test #11:
score: 0
Accepted
time: 2ms
memory: 3524kb
input:
999999 1 999999
output:
0
result:
ok single line: '0'
Test #12:
score: 0
Accepted
time: 2ms
memory: 3524kb
input:
999999 0 999999
output:
0
result:
ok single line: '0'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
333333 9 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
9996
result:
ok single line: '9996'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
333333 9 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
9996
result:
ok single line: '9996'
Test #15:
score: 0
Accepted
time: 1ms
memory: 3740kb
input:
44 3 615164488012970354555742215744
output:
0
result:
ok single line: '0'
Test #16:
score: 0
Accepted
time: 2ms
memory: 3580kb
input:
8 0 9999999999999999999
output:
18
result:
ok single line: '18'
Test #17:
score: 0
Accepted
time: 2ms
memory: 3664kb
input:
8 2 9999999999999999999
output:
1
result:
ok single line: '1'
Test #18:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
8 4 9999999999999999999
output:
2
result:
ok single line: '2'
Test #19:
score: 0
Accepted
time: 2ms
memory: 3548kb
input:
8 6 9999999999999999999
output:
1
result:
ok single line: '1'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3704kb
input:
8 8 9999999999999999999
output:
19
result:
ok single line: '19'
Test #21:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
262144 0 9999999999999999999
output:
18
result:
ok single line: '18'
Test #22:
score: 0
Accepted
time: 2ms
memory: 3700kb
input:
262144 2 9999999999999999999
output:
1
result:
ok single line: '1'
Test #23:
score: 0
Accepted
time: 2ms
memory: 3664kb
input:
262144 4 9999999999999999999
output:
2
result:
ok single line: '2'
Test #24:
score: 0
Accepted
time: 2ms
memory: 3588kb
input:
262144 6 9999999999999999999
output:
1
result:
ok single line: '1'
Test #25:
score: 0
Accepted
time: 2ms
memory: 3672kb
input:
262144 8 9999999999999999999
output:
3
result:
ok single line: '3'
Test #26:
score: 0
Accepted
time: 1ms
memory: 3752kb
input:
625 0 1000
output:
0
result:
ok single line: '0'
Test #27:
score: 0
Accepted
time: 2ms
memory: 3672kb
input:
625 0 10000
output:
4
result:
ok single line: '4'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3668kb
input:
625 0 10000000000
output:
10
result:
ok single line: '10'
Test #29:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
625 5 1000
output:
1
result:
ok single line: '1'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3752kb
input:
625 5 10000
output:
1
result:
ok single line: '1'
Test #31:
score: 0
Accepted
time: 2ms
memory: 3668kb
input:
625 5 10000000000
output:
1
result:
ok single line: '1'
Test #32:
score: 0
Accepted
time: 2ms
memory: 3672kb
input:
416113 2 910206714449570543178771288072
output:
24
result:
ok single line: '24'
Test #33:
score: 0
Accepted
time: 1ms
memory: 3524kb
input:
155727 8 595222817557156175409864490146
output:
24
result:
ok single line: '24'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
482185 7 175891766468946506850940294915
output:
0
result:
ok single line: '0'
Test #35:
score: 0
Accepted
time: 2ms
memory: 3652kb
input:
809543 9 706310782306606357041238521573
output:
24
result:
ok single line: '24'
Test #36:
score: 0
Accepted
time: 2ms
memory: 3556kb
input:
784349 2 140172854681543411198107462791
output:
23
result:
ok single line: '23'
Test #37:
score: 0
Accepted
time: 2ms
memory: 3580kb
input:
884771 6 878053904682776335641403365951
output:
24
result:
ok single line: '24'
Test #38:
score: 0
Accepted
time: 2ms
memory: 3664kb
input:
285115 7 510637551593904109970235924750
output:
0
result:
ok single line: '0'
Test #39:
score: 0
Accepted
time: 2ms
memory: 3640kb
input:
446344 8 903873563961494937101879656386579063234122909426702463868191198982245137424039427440175427556962397041118420136726887092853026726934104808566629597404508140480575992676594274115233279041150264028795434104067914849478866456192407793002021965833468079778630255143444525376989079382208643362458...
output:
9995
result:
ok single line: '9995'
Test #40:
score: 0
Accepted
time: 4ms
memory: 3688kb
input:
217176 8 746720628343704092031643549114635655136791126811051782038588698583562173486474660147736305824479303770760232163768352183708565173054518463256824577064413625680194290063831377238862971071846843280498770970154459912493995293604486306696113122808160233657375115399216282414502057456592999985641...
output:
9995
result:
ok single line: '9995'
Test #41:
score: 0
Accepted
time: 4ms
memory: 3688kb
input:
591976 8 997688187554288608289696884444974394245886896647212441828767818311997092160967371255532165988508545021286506736704730143980876547206426443074075450563958052385014127642212294228193051916496652316016549674647007259802903947613096796599924760429663473913319454783603356257452483582255380157929...
output:
9995
result:
ok single line: '9995'
Test #42:
score: 0
Accepted
time: 4ms
memory: 3772kb
input:
308945 5 962476931095598250044305868135885243557388313522332291867917574431355233922993304117647070995131553330332941633745363521615864814876653718068119371777377239796738753166939860072333764723729655459600360732826690810931322099300456303655259230988921806364953099639264334432713159446169102673437...
output:
9995
result:
ok single line: '9995'
Test #43:
score: 0
Accepted
time: 2ms
memory: 3772kb
input:
953215 5 481379773305937010787000848653505393811784682453377327931890614700475555426776917124183304939480619234810630040231631970261984136707831904841144438858481007543348015107439662369399747861912671557090065865016622444295889867974657697201792908751777382148402012154785104292434498920894247193558...
output:
9994
result:
ok single line: '9994'
Test #44:
score: 0
Accepted
time: 4ms
memory: 3856kb
input:
711785 5 624522418749983727962202416596678244083668011938141912561864354048413105915711234753191969044814346136404671485469428764114784402574391892322067753961421343947532626292641042989488918633658784104942163903053502260790194000740256301403470440332255977429369236483168636332974165475448631524588...
output:
9994
result:
ok single line: '9994'