Submission details
Task:A TIMES B!
Sender:ind1f
Submission time:2025-10-29 17:43:37 +0200
Language:C++ (C++17)
Status:READY
Result:
Test results
testverdicttime
#1ACCEPTED0.00 sdetails
#20.00 sdetails
#3ACCEPTED0.00 sdetails
#4ACCEPTED0.00 sdetails
#5ACCEPTED0.00 sdetails
#60.00 sdetails
#70.00 sdetails
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#11ACCEPTED0.00 sdetails
#120.00 sdetails
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#14ACCEPTED0.00 sdetails
#150.00 sdetails
#160.00 sdetails
#170.00 sdetails
#180.00 sdetails
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#470.01 sdetails
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#600.09 sdetails
#61--details
#62--details
#63--details
#640.74 sdetails
#65--details

Compiler report

input/code.cpp: In function 'std::vector<int> multiply(const std::vector<int>&, const std::vector<int>&)':
input/code.cpp:41:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   41 |   while (n < a.size() + b.size())
      |          ~~^~~~~~~~~~~~~~~~~~~~~
input/code.cpp: In function 'int main()':
input/code.cpp:65:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   65 |   for (int i = 0; i < s.size(); i++) {
      |                   ~~^~~~~~~~~~
input/code.cpp:68:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   68 |   for (int i = 0; i < t.size(); i++) {
      |                   ~~^~~~~~~~~~

Code

#include <iostream>
#include <complex>
#include <vector>
#include <algorithm>

using namespace std;

using cd = complex<double>;
const double PI = acos(-1);

void fft(vector<cd> & a, bool invert) {
  int n = a.size();
  if (n == 1) {
    return;
  }

  vector<cd> a0(n / 2), a1(n / 2);
  for (int i = 0; 2 * i < n; i++) {
    a0[i] = a[2 * i];
    a1[i] = a[2 * i + 1];
  }
  fft(a0, invert);
  fft(a1, invert);

  double ang = 2 * PI / n * (invert ? -1 : 1);
  cd w(1), wn(cos(ang), sin(ang));
  for (int i = 0; 2 * i < n; i++) {
    a[i] = a0[i] + w * a1[i];
    a[i + n/2] = a0[i] - w * a1[i];
    if (invert) {
      a[i] /= 2;
      a[i + n / 2] /= 2;
    }
    w *= wn;
  }
}

vector<int> multiply(vector<int> const& a, vector<int> const& b) {
  vector<cd> fa(a.begin(), a.end()), fb(b.begin(), b.end());
  int n = 1;
  while (n < a.size() + b.size()) 
    n <<= 1;
  fa.resize(n);
  fb.resize(n);

  fft(fa, false);
  fft(fb, false);
  for (int i = 0; i < n; i++)
    fa[i] *= fb[i];
  fft(fa, true);

  vector<int> result(n);
  for (int i = 0; i < n; i++) {
    result[i] = round(fa[i].real());
  }
  return result;
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  string s, t;
  cin >> s >> t;
  vector<int> a(s.size()), b(t.size());
  for (int i = 0; i < s.size(); i++) {
    a[i] = s[i] - '0';
  }
  for (int i = 0; i < t.size(); i++) {
    b[i] = t[i] - '0';
  }
  vector<int> c = multiply(a, b);
  int ca = 0;
  string ans;
  for (int &i : c) {
    i += ca;
    ca = i / 10;
    i %= 10;
    ans += (i + '0');
  }
  reverse(ans.begin(), ans.end());
  cout << ans << '\n';
  return 0;
}

Test details

Test 1

Verdict: ACCEPTED

input
8
5

correct output
40

user output
40

Test 2

Verdict:

input
9
1

correct output
9

user output
09

Test 3

Verdict: ACCEPTED

input
9
5

correct output
45

user output
45

Test 4

Verdict: ACCEPTED

input
2
5

correct output
10

user output
10

Test 5

Verdict: ACCEPTED

input
8
7

correct output
56

user output
56

Test 6

Verdict:

input
48
92

correct output
4416

user output
2436

Test 7

Verdict:

input
1
40

correct output
40

user output
0004

Test 8

Verdict:

input
97
74

correct output
7178

user output
3713

Test 9

Verdict:

input
58
8

correct output
464

user output
0680

Test 10

Verdict:

input
15
24

correct output
360

user output
2142

Test 11

Verdict: ACCEPTED

input
4
7

correct output
28

user output
28

Test 12

Verdict:

input
906
417

correct output
377802

user output
00434826

Test 13

Verdict:

input
778
105

correct output
81690

user output
00439377

Test 14

Verdict: ACCEPTED

input
2
989

correct output
1978

user output
1978

Test 15

Verdict:

input
2830
5329

correct output
15081070

user output
03527770

Test 16

Verdict:

input
9
51382

correct output
462438

user output
00254835

Test 17

Verdict:

input
25053
71372

correct output
1788082716

user output
0000000957515484

Test 18

Verdict:

input
258180
674616

correct output
174172358880

user output
0000050459793552

Test 19

Verdict:

input
8821
2

correct output
17642

user output
00002576

Test 20

Verdict:

input
1742712
9600618

correct output
16731112196016

user output
0017727513260499

Test 21

Verdict:

input
8898606
2936506

correct output
26130809910636

user output
0036756170371296

Test 22

Verdict:

input
82670092
60138633

correct output
4971666322864236

user output
0977067008732568

Test 23

Verdict:

input
54746871
83822602

correct output
4589025178578342

user output
0368421742046310

Test 24

Verdict:

input
477252461
1032684

correct output
492850980435324

user output
0798646427272974

Test 25

Verdict:

input
5932935
379

correct output
2248582365

user output
0000005246800335

Test 26

Verdict:

input
620114
3126641

correct output
1938873857074

user output
0000602651664538

Test 27

Verdict:

input
452757081
222748761

correct output
100851078826726641

user output
000000000000000303396029402483...

Test 28

Verdict:

input
689748332
888826746

correct output
613066765490487672

user output
000000000000001514467111342195...

Test 29

Verdict:

input
111337
25

correct output
2783425

user output
38121772

Test 30

Verdict:

input
809
84435378

correct output
68308220802

user output
0000079316930784

Test 31

Verdict:

input
9641697369926504411
425970950212942028697061039529...

correct output
410708299033321711216812810174...

user output
047550850694196761530264730669...

Test 32

Verdict:

input
793769623129909085108356241071...

correct output
264404012608186879272715560773...

user output
000000000000000000000000000000...
Truncated

Test 33

Verdict:

input
8539777831492675800
436

correct output
3723343134530806648800

user output
000000000000543737048398521129...

Test 34

Verdict:

input
946492187160898604892390431179...

correct output
585982368537725512535970251461...

user output
000000000000000000000000000000...
Truncated

Test 35

Verdict:

input
874046401974324184707688863838...

correct output
174556202198322810668657866310...

user output
000000000000000000000000000000...
Truncated

Test 36

Verdict:

input
168584663428092347854539803060...

correct output
235958453587245776929148968707...

user output
000000000000000000000000000000...
Truncated

Test 37

Verdict:

input
279013912031336395843652482056...

correct output
856375236460411618343887929304...

user output
000000000000000000000000000000...
Truncated

Test 38

Verdict:

input
909594443312661242668561455177...

correct output
801297086685128929836268694647...

user output
000000000000000000000000000000...
Truncated

Test 39

Verdict:

input
521558480102200460144622364590...

correct output
403176935665359352292583479223...

user output
000000000000000000000000000000...
Truncated

Test 40

Verdict:

input
198766521920629467015839613580...

correct output
197951285207558548760833360414...

user output
000000000000000000000000000000...
Truncated

Test 41

Verdict:

input
388239940637354291806784217812...

correct output
354893636094929851749498258576...

user output
000000000000000000000000000000...
Truncated

Test 42

Verdict:

input
580031950564534684773525167998...

correct output
225288306472433597677862095876...

user output
029935517861578809915175783021...
Truncated

Test 43

Verdict:

input
673497493525004204568833306269...

correct output
104167516519697053781119530996...

user output
000000000000000000000000000000...
Truncated

Test 44

Verdict:

input
583582406474458495157747860432...

correct output
355985267949419682046226194863...

user output
000000000000000000000000000000...
Truncated

Test 45

Verdict:

input
154401310284121033413839709675...

correct output
472687322036571910421947159369...

user output
000000000000000000000000000000...
Truncated

Test 46

Verdict:

input
964784520177212016698
135881607827957154173561484162...

correct output
131096471809203739325264543904...

user output
000000000000000000000000000000...
Truncated

Test 47

Verdict:

input
506417941420848908877158785176...

correct output
124940484872553056181800567857...

user output
000000000000000000000000000000...
Truncated

Test 48

Verdict:

input
278205703909200971326699489015...

correct output
213362541886605761113025837459...

user output
000000000000000000000000000000...
Truncated

Test 49

Verdict:

input
488919747667763730629078434642...

correct output
244261035002054726047225565934...

user output
000000000000000000000000000000...
Truncated

Test 50

Verdict:

input
683013292533355268532590162229...

correct output
271255985219635665074840248062...

user output
000000000000000000000000000000...
Truncated

Test 51

Verdict:

input
701382950383712289025758984281...

correct output
396240397875971182850884660551...

user output
000000000000000000000000000000...
Truncated

Test 52

Verdict:

input
950530137216618089651057517232...

correct output
525100658977646195130452101103...

user output
000000000000000000000000000000...
Truncated

Test 53

Verdict:

input
758180874616256083097058082046...

correct output
612777382638418549100062437996...

user output
000000000000000000000000000000...
Truncated

Test 54

Verdict:

input
282198270649528096385750216226...

correct output
878945962031578099916769892430...

user output
000000000000000000000000000000...
Truncated

Test 55

Verdict:

input
374271236006180996628555027124...

correct output
205927043926518428842129271440...

user output
000000000000000000000000000000...
Truncated

Test 56

Verdict:

input
789860669365068182777748873091...

correct output
369460448033120451265094062370...

user output
000000000000000000000000000000...
Truncated

Test 57

Verdict:

input
826700926013863385104801713448...

correct output
291751287859134397942962144651...

user output
000000000000000000000000000000...
Truncated

Test 58

Verdict:

input
947468718382260248801518078140...

correct output
226868697296935607336651841496...

user output
000000000000000000000000000000...
Truncated

Test 59

Verdict:

input
177252461103268440789803954968...

correct output
111876380249200192763403085310...

user output
000000000000000000000000000000...
Truncated

Test 60

Verdict:

input
393293577943612353036749957226...

correct output
336630505716557163667422969707...

user output
000000000000000000000000000000...
Truncated

Test 61

Verdict:

input
320114112664152374910455416563...

correct output
136407754249269979820422504376...

user output
(empty)

Test 62

Verdict:

input
152757081122748761316522074282...

correct output
107712372482584798763194835348...

user output
(empty)

Test 63

Verdict:

input
889748332988826746683887083103...

correct output
729454517423131565738173030712...

user output
(empty)

Test 64

Verdict:

input
311337350148998951898280698942...

correct output
245742878826375358332482490843...

user output
000000000000000000000000000000...
Truncated

Test 65

Verdict:

input
709744353788876782171034561202...

correct output
198288295923437797210097622398...

user output
(empty)