QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#46144#2172. Trailing Digitsdmga44AC ✓4ms3860kbC++172.6kb2022-08-26 06:48:262022-08-26 06:48:29

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-08-26 06:48:29]
  • 评测
  • 测评结果:AC
  • 用时:4ms
  • 内存:3860kb
  • [2022-08-26 06:48:26]
  • 提交

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'