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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#59548#2172. Trailing DigitslosPatrons#AC ✓53ms3648kbC++203.6kb2022-10-30 23:34:122022-10-30 23:34:13

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.
  • [2022-10-30 23:34:13]
  • 评测
  • 测评结果:AC
  • 用时:53ms
  • 内存:3648kb
  • [2022-10-30 23:34:12]
  • 提交

answer

#include <iostream>
#include <fstream>
#include <vector>
#include <algorithm>
#include <stack>
#include <cassert>
#include <map>
#include <numeric>
#include <cstring>
#include <set>
#include <ctime>
#include <array>
#include <queue>
#include <cmath>
#include <iomanip>
#include <iterator>
#include <bitset>
#include <unordered_map>
#include <complex>
#include <unordered_set>
#include <chrono>
#include <random>
#include <functional>
#include <random>
#include <complex>

using namespace std;
using namespace std::chrono;

class InputReader {
public:
    InputReader() {
        input_file = stdin;
        cursor = 0;
        fread(buffer, SIZE, 1, input_file);
    }

    InputReader(const char *file_name) {
        input_file = fopen(file_name, "r");
        cursor = 0;
        fread(buffer, SIZE, 1, input_file);
    }

    template<typename T>
    inline InputReader &operator>>(T &n) {
        while ((buffer[cursor] < '0' || buffer[cursor] > '9') && buffer[cursor] != '-') {
            advance();
        }
        int sign = 1;
        if (buffer[cursor] == '-') {
            sign = -1;
            advance();
        }
        n = 0;
        while ('0' <= buffer[cursor] && buffer[cursor] <= '9') {
            n = n * 10 + buffer[cursor] - '0';
            advance();
        }
        n *= sign;
        return *this;
    }

    inline InputReader &operator>>(char *s) {
        while (!isalpha(buffer[cursor])) {
            advance();
        }
        int len = 0;
        while (isalpha(buffer[cursor])) {
            s[len] = buffer[cursor];
            len++;
            advance();
        }
        s[len] = 0;
        return *this;
    }

private:
    FILE *input_file;
    static const int SIZE = 1 << 17;
    int cursor;
    char buffer[SIZE];

    inline void advance() {
        ++cursor;
        if (cursor == SIZE) {
            cursor = 0;
            fread(buffer, SIZE, 1, input_file);
        }
    }
};

string toString(int x) {
    string ans = "";
    while (x > 0) {
        ans.push_back('0' + x % 10);
        x /= 10;
    }
    reverse(ans.begin(), ans.end());
    return ans;
}

bool ok(int l, int b, int d, const string &a) {
    int p10 = 1, suf = 0;
    for (int i = 1; i <= l; i++) {
        p10 = (p10 * 10) % b;
        suf = (suf * 10 + d) % b;
    }
    // need X * p10 + suf = 0 (mod b)
    for (int x = (d == 0 ? 1 : 0); x <= b; x++) {
        if ((1LL * x * p10 + suf) % b == 0) {
            string xs = toString(x);
            if (xs.size() + l < a.size()) {
                return true;
            } else if (xs.size() + l > a.size()) {
                return false;
            } else {
                string n = xs + string(l, '0' + d);
                assert(n.size() == a.size());
                return n <= a;
            }
        }
    }
    return false;
}

int main() {
    //ifstream cin("input.txt");
//    ofstream cout("output.txt");
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    srand(time(0));

    int b, d;
    string a;
    cin >> b >> d >> a;
    int left = 1, right = a.size(), ans = 0;
    while (left <= right) {
        int mid = (left + right) / 2;
        if (ok(mid, b, d, a)) {
            ans = mid;
            left = mid + 1;
        } else {
            right = mid - 1;
        }
    }
    cout << ans << "\n";

//    auto stopTime = high_resolution_clock::now();
//    auto duration = duration_cast<milliseconds>(stopTime - startTime);
//    cout << "Ellapsed time: " << duration.count() << "\n";
    return 0;
}


Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 14ms
memory: 3524kb

input:

583764 4 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...

output:

9994

result:

ok single line: '9994'

Test #2:

score: 0
Accepted
time: 53ms
memory: 3548kb

input:

583764 2 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...

output:

1

result:

ok single line: '1'

Test #3:

score: 0
Accepted
time: 19ms
memory: 3612kb

input:

583764 0 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...

output:

9994

result:

ok single line: '9994'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3456kb

input:

128 2 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 3ms
memory: 3504kb

input:

128 0 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...

output:

9999

result:

ok single line: '9999'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

128 8 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...

output:

3

result:

ok single line: '3'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

3 3 55802206918423003893896315437300626376057145877165718053161687017453870807302881078256104706963902760838904877856766097863294016816301929129087982233755684031647475630606376165761975977308833624522873445883881504577885184154278811497905038590430176865627909451134487429402914168708312207750073308...

output:

10000

result:

ok single line: '10000'

Test #8:

score: 0
Accepted
time: 3ms
memory: 3600kb

input:

2 2 55802206918423003893896315437300626376057145877165718053161687017453870807302881078256104706963902760838904877856766097863294016816301929129087982233755684031647475630606376165761975977308833624522873445883881504577885184154278811497905038590430176865627909451134487429402914168708312207750073308...

output:

10000

result:

ok single line: '10000'

Test #9:

score: 0
Accepted
time: 2ms
memory: 3500kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #10:

score: 0
Accepted
time: 2ms
memory: 3452kb

input:

1 2 1

output:

0

result:

ok single line: '0'

Test #11:

score: 0
Accepted
time: 19ms
memory: 3552kb

input:

999999 1 999999

output:

0

result:

ok single line: '0'

Test #12:

score: 0
Accepted
time: 17ms
memory: 3580kb

input:

999999 0 999999

output:

0

result:

ok single line: '0'

Test #13:

score: 0
Accepted
time: 2ms
memory: 3648kb

input:

333333 9 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

9996

result:

ok single line: '9996'

Test #14:

score: 0
Accepted
time: 5ms
memory: 3576kb

input:

333333 9 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

9996

result:

ok single line: '9996'

Test #15:

score: 0
Accepted
time: 3ms
memory: 3556kb

input:

44 3 615164488012970354555742215744

output:

0

result:

ok single line: '0'

Test #16:

score: 0
Accepted
time: 3ms
memory: 3600kb

input:

8 0 9999999999999999999

output:

18

result:

ok single line: '18'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

8 2 9999999999999999999

output:

1

result:

ok single line: '1'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

8 4 9999999999999999999

output:

2

result:

ok single line: '2'

Test #19:

score: 0
Accepted
time: 1ms
memory: 3548kb

input:

8 6 9999999999999999999

output:

1

result:

ok single line: '1'

Test #20:

score: 0
Accepted
time: 3ms
memory: 3624kb

input:

8 8 9999999999999999999

output:

19

result:

ok single line: '19'

Test #21:

score: 0
Accepted
time: 2ms
memory: 3540kb

input:

262144 0 9999999999999999999

output:

18

result:

ok single line: '18'

Test #22:

score: 0
Accepted
time: 10ms
memory: 3556kb

input:

262144 2 9999999999999999999

output:

1

result:

ok single line: '1'

Test #23:

score: 0
Accepted
time: 9ms
memory: 3536kb

input:

262144 4 9999999999999999999

output:

2

result:

ok single line: '2'

Test #24:

score: 0
Accepted
time: 9ms
memory: 3428kb

input:

262144 6 9999999999999999999

output:

1

result:

ok single line: '1'

Test #25:

score: 0
Accepted
time: 6ms
memory: 3572kb

input:

262144 8 9999999999999999999

output:

3

result:

ok single line: '3'

Test #26:

score: 0
Accepted
time: 2ms
memory: 3584kb

input:

625 0 1000

output:

0

result:

ok single line: '0'

Test #27:

score: 0
Accepted
time: 2ms
memory: 3496kb

input:

625 0 10000

output:

4

result:

ok single line: '4'

Test #28:

score: 0
Accepted
time: 1ms
memory: 3492kb

input:

625 0 10000000000

output:

10

result:

ok single line: '10'

Test #29:

score: 0
Accepted
time: 3ms
memory: 3556kb

input:

625 5 1000

output:

1

result:

ok single line: '1'

Test #30:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

625 5 10000

output:

1

result:

ok single line: '1'

Test #31:

score: 0
Accepted
time: 2ms
memory: 3584kb

input:

625 5 10000000000

output:

1

result:

ok single line: '1'

Test #32:

score: 0
Accepted
time: 22ms
memory: 3552kb

input:

416113 2 910206714449570543178771288072

output:

24

result:

ok single line: '24'

Test #33:

score: 0
Accepted
time: 5ms
memory: 3452kb

input:

155727 8 595222817557156175409864490146

output:

24

result:

ok single line: '24'

Test #34:

score: 0
Accepted
time: 17ms
memory: 3424kb

input:

482185 7 175891766468946506850940294915

output:

0

result:

ok single line: '0'

Test #35:

score: 0
Accepted
time: 14ms
memory: 3528kb

input:

809543 9 706310782306606357041238521573

output:

24

result:

ok single line: '24'

Test #36:

score: 0
Accepted
time: 19ms
memory: 3560kb

input:

784349 2 140172854681543411198107462791

output:

23

result:

ok single line: '23'

Test #37:

score: 0
Accepted
time: 28ms
memory: 3560kb

input:

884771 6 878053904682776335641403365951

output:

24

result:

ok single line: '24'

Test #38:

score: 0
Accepted
time: 8ms
memory: 3492kb

input:

285115 7 510637551593904109970235924750

output:

0

result:

ok single line: '0'

Test #39:

score: 0
Accepted
time: 6ms
memory: 3600kb

input:

446344 8 903873563961494937101879656386579063234122909426702463868191198982245137424039427440175427556962397041118420136726887092853026726934104808566629597404508140480575992676594274115233279041150264028795434104067914849478866456192407793002021965833468079778630255143444525376989079382208643362458...

output:

9995

result:

ok single line: '9995'

Test #40:

score: 0
Accepted
time: 5ms
memory: 3504kb

input:

217176 8 746720628343704092031643549114635655136791126811051782038588698583562173486474660147736305824479303770760232163768352183708565173054518463256824577064413625680194290063831377238862971071846843280498770970154459912493995293604486306696113122808160233657375115399216282414502057456592999985641...

output:

9995

result:

ok single line: '9995'

Test #41:

score: 0
Accepted
time: 8ms
memory: 3552kb

input:

591976 8 997688187554288608289696884444974394245886896647212441828767818311997092160967371255532165988508545021286506736704730143980876547206426443074075450563958052385014127642212294228193051916496652316016549674647007259802903947613096796599924760429663473913319454783603356257452483582255380157929...

output:

9995

result:

ok single line: '9995'

Test #42:

score: 0
Accepted
time: 7ms
memory: 3580kb

input:

308945 5 962476931095598250044305868135885243557388313522332291867917574431355233922993304117647070995131553330332941633745363521615864814876653718068119371777377239796738753166939860072333764723729655459600360732826690810931322099300456303655259230988921806364953099639264334432713159446169102673437...

output:

9995

result:

ok single line: '9995'

Test #43:

score: 0
Accepted
time: 12ms
memory: 3628kb

input:

953215 5 481379773305937010787000848653505393811784682453377327931890614700475555426776917124183304939480619234810630040231631970261984136707831904841144438858481007543348015107439662369399747861912671557090065865016622444295889867974657697201792908751777382148402012154785104292434498920894247193558...

output:

9994

result:

ok single line: '9994'

Test #44:

score: 0
Accepted
time: 13ms
memory: 3476kb

input:

711785 5 624522418749983727962202416596678244083668011938141912561864354048413105915711234753191969044814346136404671485469428764114784402574391892322067753961421343947532626292641042989488918633658784104942163903053502260790194000740256301403470440332255977429369236483168636332974165475448631524588...

output:

9994

result:

ok single line: '9994'