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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#85228#2172. Trailing DigitsTheOneYouWantAC ✓165ms4312kbC++201.6kb2023-03-07 12:21:192023-03-07 12:21:22

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.
  • [2023-03-07 12:21:22]
  • 评测
  • 测评结果:AC
  • 用时:165ms
  • 内存:4312kb
  • [2023-03-07 12:21:19]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
#define int long long int
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

#define ln '\n'

const int MOD = 1e9+7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

int fastpow(ll a, ll p, ll mod){
	if(p==0) return 1;
	ll z = fastpow(a, p/2, mod);
	z = (z * z) % MOD;
	if(p%2) z = (a * z) % MOD;
	return z;
}

int b, d;
string a;

bool str_smaller(string a, string b){
	int ptr1 = 0;
	int ptr2 = 0;

	while((ptr1 < a.size()) && (a[ptr1]=='0')){
		ptr1 ++;
	}
	while((ptr2 < b.size()) && (b[ptr2]=='0')){
		ptr2 ++;
	}

	int l1 = (int)a.size() - ptr1, l2 = (int)b.size() - ptr2;
	if(l1>l2) return 0;
	if(l1<l2) return 1;

	string s1 = a.substr(ptr1, l1), s2 = b.substr(ptr2, l2);
	return (s1 <= s2);
}

bool check(int last_rep){

	int f1 = 1;
	int f2 = 0;
	rep(i, 0, last_rep){
		f2 += f1;
		f1 = (f1 * 10) % b;
	}
	f2 = (f2 * d) % b;
	bool pos = 0;
	rep(i, 0, b){
		if((i==0)&&(d==0)) continue;
		if((f1 * i + f2) % b == 0){
			string s = to_string(i);
			rep(j, 0, last_rep) s += ('0'+d);
			if(str_smaller(s, a)) pos = 1;
			break;	
		}
	}
	return pos;
}


signed main() {
	cin.tie(0)->sync_with_stdio(0);
	cin.exceptions(cin.failbit);

	cin >> b >> d >> a;
	
	int l = 0, r = 1000000;

	while(l < r){
		int mid = (l+r+1)/2;
		if(check(mid)){
			l = mid;
		}
		else{
			r = mid - 1;
		}
	}	

	cout << l << endl;


	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 32ms
memory: 4240kb

input:

583764 4 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...

output:

9994

result:

ok single line: '9994'

Test #2:

score: 0
Accepted
time: 104ms
memory: 3432kb

input:

583764 2 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...

output:

1

result:

ok single line: '1'

Test #3:

score: 0
Accepted
time: 46ms
memory: 4240kb

input:

583764 0 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500...

output:

9994

result:

ok single line: '9994'

Test #4:

score: 0
Accepted
time: 10ms
memory: 3576kb

input:

128 2 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 6ms
memory: 4192kb

input:

128 0 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...

output:

9999

result:

ok single line: '9999'

Test #6:

score: 0
Accepted
time: 15ms
memory: 3496kb

input:

128 8 558022069184230038938963154373006263760571458771657180531616870174538708073028810782561047069639027608389048778567660978632940168163019291290879822337556840316474756306063761657619759773088336245228734458838815045778851841542788114979050385904301768656279094511344874294029141687083122077500733...

output:

3

result:

ok single line: '3'

Test #7:

score: 0
Accepted
time: 16ms
memory: 4244kb

input:

3 3 55802206918423003893896315437300626376057145877165718053161687017453870807302881078256104706963902760838904877856766097863294016816301929129087982233755684031647475630606376165761975977308833624522873445883881504577885184154278811497905038590430176865627909451134487429402914168708312207750073308...

output:

10000

result:

ok single line: '10000'

Test #8:

score: 0
Accepted
time: 14ms
memory: 4244kb

input:

2 2 55802206918423003893896315437300626376057145877165718053161687017453870807302881078256104706963902760838904877856766097863294016816301929129087982233755684031647475630606376165761975977308833624522873445883881504577885184154278811497905038590430176865627909451134487429402914168708312207750073308...

output:

10000

result:

ok single line: '10000'

Test #9:

score: 0
Accepted
time: 17ms
memory: 4260kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #10:

score: 0
Accepted
time: 17ms
memory: 4188kb

input:

1 2 1

output:

0

result:

ok single line: '0'

Test #11:

score: 0
Accepted
time: 106ms
memory: 4260kb

input:

999999 1 999999

output:

0

result:

ok single line: '0'

Test #12:

score: 0
Accepted
time: 165ms
memory: 3448kb

input:

999999 0 999999

output:

0

result:

ok single line: '0'

Test #13:

score: 0
Accepted
time: 19ms
memory: 4204kb

input:

333333 9 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

9996

result:

ok single line: '9996'

Test #14:

score: 0
Accepted
time: 23ms
memory: 4240kb

input:

333333 9 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

9996

result:

ok single line: '9996'

Test #15:

score: 0
Accepted
time: 12ms
memory: 3528kb

input:

44 3 615164488012970354555742215744

output:

0

result:

ok single line: '0'

Test #16:

score: 0
Accepted
time: 10ms
memory: 4208kb

input:

8 0 9999999999999999999

output:

18

result:

ok single line: '18'

Test #17:

score: 0
Accepted
time: 14ms
memory: 3488kb

input:

8 2 9999999999999999999

output:

1

result:

ok single line: '1'

Test #18:

score: 0
Accepted
time: 10ms
memory: 3528kb

input:

8 4 9999999999999999999

output:

2

result:

ok single line: '2'

Test #19:

score: 0
Accepted
time: 14ms
memory: 3516kb

input:

8 6 9999999999999999999

output:

1

result:

ok single line: '1'

Test #20:

score: 0
Accepted
time: 17ms
memory: 4216kb

input:

8 8 9999999999999999999

output:

19

result:

ok single line: '19'

Test #21:

score: 0
Accepted
time: 17ms
memory: 4292kb

input:

262144 0 9999999999999999999

output:

18

result:

ok single line: '18'

Test #22:

score: 0
Accepted
time: 54ms
memory: 3500kb

input:

262144 2 9999999999999999999

output:

1

result:

ok single line: '1'

Test #23:

score: 0
Accepted
time: 53ms
memory: 3484kb

input:

262144 4 9999999999999999999

output:

2

result:

ok single line: '2'

Test #24:

score: 0
Accepted
time: 60ms
memory: 3532kb

input:

262144 6 9999999999999999999

output:

1

result:

ok single line: '1'

Test #25:

score: 0
Accepted
time: 54ms
memory: 3532kb

input:

262144 8 9999999999999999999

output:

3

result:

ok single line: '3'

Test #26:

score: 0
Accepted
time: 17ms
memory: 4188kb

input:

625 0 1000

output:

0

result:

ok single line: '0'

Test #27:

score: 0
Accepted
time: 11ms
memory: 4236kb

input:

625 0 10000

output:

4

result:

ok single line: '4'

Test #28:

score: 0
Accepted
time: 10ms
memory: 4224kb

input:

625 0 10000000000

output:

10

result:

ok single line: '10'

Test #29:

score: 0
Accepted
time: 14ms
memory: 3536kb

input:

625 5 1000

output:

1

result:

ok single line: '1'

Test #30:

score: 0
Accepted
time: 14ms
memory: 3496kb

input:

625 5 10000

output:

1

result:

ok single line: '1'

Test #31:

score: 0
Accepted
time: 12ms
memory: 3456kb

input:

625 5 10000000000

output:

1

result:

ok single line: '1'

Test #32:

score: 0
Accepted
time: 46ms
memory: 4292kb

input:

416113 2 910206714449570543178771288072

output:

24

result:

ok single line: '24'

Test #33:

score: 0
Accepted
time: 29ms
memory: 4256kb

input:

155727 8 595222817557156175409864490146

output:

24

result:

ok single line: '24'

Test #34:

score: 0
Accepted
time: 89ms
memory: 3528kb

input:

482185 7 175891766468946506850940294915

output:

0

result:

ok single line: '0'

Test #35:

score: 0
Accepted
time: 67ms
memory: 4228kb

input:

809543 9 706310782306606357041238521573

output:

24

result:

ok single line: '24'

Test #36:

score: 0
Accepted
time: 74ms
memory: 4296kb

input:

784349 2 140172854681543411198107462791

output:

23

result:

ok single line: '23'

Test #37:

score: 0
Accepted
time: 106ms
memory: 4192kb

input:

884771 6 878053904682776335641403365951

output:

24

result:

ok single line: '24'

Test #38:

score: 0
Accepted
time: 58ms
memory: 3388kb

input:

285115 7 510637551593904109970235924750

output:

0

result:

ok single line: '0'

Test #39:

score: 0
Accepted
time: 26ms
memory: 4284kb

input:

446344 8 903873563961494937101879656386579063234122909426702463868191198982245137424039427440175427556962397041118420136726887092853026726934104808566629597404508140480575992676594274115233279041150264028795434104067914849478866456192407793002021965833468079778630255143444525376989079382208643362458...

output:

9995

result:

ok single line: '9995'

Test #40:

score: 0
Accepted
time: 18ms
memory: 4312kb

input:

217176 8 746720628343704092031643549114635655136791126811051782038588698583562173486474660147736305824479303770760232163768352183708565173054518463256824577064413625680194290063831377238862971071846843280498770970154459912493995293604486306696113122808160233657375115399216282414502057456592999985641...

output:

9995

result:

ok single line: '9995'

Test #41:

score: 0
Accepted
time: 18ms
memory: 4248kb

input:

591976 8 997688187554288608289696884444974394245886896647212441828767818311997092160967371255532165988508545021286506736704730143980876547206426443074075450563958052385014127642212294228193051916496652316016549674647007259802903947613096796599924760429663473913319454783603356257452483582255380157929...

output:

9995

result:

ok single line: '9995'

Test #42:

score: 0
Accepted
time: 25ms
memory: 4196kb

input:

308945 5 962476931095598250044305868135885243557388313522332291867917574431355233922993304117647070995131553330332941633745363521615864814876653718068119371777377239796738753166939860072333764723729655459600360732826690810931322099300456303655259230988921806364953099639264334432713159446169102673437...

output:

9995

result:

ok single line: '9995'

Test #43:

score: 0
Accepted
time: 37ms
memory: 4244kb

input:

953215 5 481379773305937010787000848653505393811784682453377327931890614700475555426776917124183304939480619234810630040231631970261984136707831904841144438858481007543348015107439662369399747861912671557090065865016622444295889867974657697201792908751777382148402012154785104292434498920894247193558...

output:

9994

result:

ok single line: '9994'

Test #44:

score: 0
Accepted
time: 27ms
memory: 4248kb

input:

711785 5 624522418749983727962202416596678244083668011938141912561864354048413105915711234753191969044814346136404671485469428764114784402574391892322067753961421343947532626292641042989488918633658784104942163903053502260790194000740256301403470440332255977429369236483168636332974165475448631524588...

output:

9994

result:

ok single line: '9994'