QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#59548 | #2172. Trailing Digits | losPatrons# | AC ✓ | 53ms | 3648kb | C++20 | 3.6kb | 2022-10-30 23:34:12 | 2022-10-30 23:34:13 |
Judging History
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'