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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#292133#7954. Special NumbersPhantomThreshold#AC ✓52ms5748kbC++171.7kb2023-12-27 19:22:252023-12-27 19:22:25

Judging History

你现在查看的是最新测评结果

  • [2023-12-27 19:22:25]
  • 评测
  • 测评结果:AC
  • 用时:52ms
  • 内存:5748kb
  • [2023-12-27 19:22:25]
  • 提交

answer

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

typedef long long ll;
const ll mod=1'000'000'007;

__int128 read(){
	string str;
	cin >> str;
	__int128 ret=0;
	for (auto ch:str) ret=ret*10+(ch-'0');
	return ret;
}
void add(ll &A,ll B){A+=B;if (A>=mod) A-=mod;}
void sub(ll &A,ll B){A-=B;if (A<0) A+=mod;}

vector<ll> digit;
map<pair<ll,ll>,ll> dict;

ll dfs(ll dep,bool lead,bool lt,ll K){

//	cerr << "-------dfs()-------" << endl;
//	cerr << dep << " " << lead << " " << lt << " " << K << endl;

	if (dep==-1){
		if (lead && K==1) return 1;
		return 0;
	}
	pair<ll,ll> PAIR=make_pair(dep,K);
	if (lead && lt && dict.count(PAIR)) return dict[PAIR];
	
	ll mx=(lt)?(9):(digit[dep]);
	
//	cerr << "mx : " << mx << endl;
	
	ll ans=0;
	for (ll i=0;i<=mx;i++){
		bool nxtlead=lead|(i!=0);
		bool nxtlt=lt|(i<digit[dep]);
		ll nxtK=K;
		if (nxtlead){
			ll g=__gcd(K,i);
			nxtK=K/g;
		}
		add(ans,dfs(dep-1,nxtlead,nxtlt,nxtK));
	}
	if (lead && lt) dict[PAIR]=ans;
//	cerr << "-----res---------" << endl;
//	cerr << dep << " " << lead << " " << lt << " " << K << endl;
//	cerr << "ans : " << ans << endl;
	
	return ans;
}

ll gao(__int128 x,ll K){
	if (x==0) return 0;
	digit.clear();
	for (;x;x/=10) digit.emplace_back(x%10);
	return dfs((int)digit.size()-1,0,0,K);
}

bool test(ll K){
	for (;K%2==0;) K/=2;
	for (;K%3==0;) K/=3;
	for (;K%5==0;) K/=5;
	for (;K%7==0;) K/=7;
	return (K==1);
}

int main(){
	ios_base::sync_with_stdio(false);
	long long K=1e17;
	cin >> K;
//	__int128 L=1;
//	__int128 R=1e20;
	
	__int128 L=read();
	__int128 R=read();
	
//	if (!test(K)) cout << 0 << "\n";
	
	ll ans=gao(R,K);
	sub(ans,gao(L-1,K)); 
	cout << ans << "\n";
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3556kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3508kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3488kb

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3480kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

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

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

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

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3520kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3532kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 2ms
memory: 3524kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 31ms
memory: 4940kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 52ms
memory: 5748kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 14ms
memory: 4380kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 22ms
memory: 4496kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 29ms
memory: 4736kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 15ms
memory: 4216kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

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

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 7ms
memory: 3976kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 35ms
memory: 4948kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 9ms
memory: 4084kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 12ms
memory: 4132kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 7ms
memory: 3868kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 6ms
memory: 3744kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

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

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 6ms
memory: 3892kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 6ms
memory: 3948kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

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

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 2ms
memory: 3532kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 18ms
memory: 4228kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 47ms
memory: 5408kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 16ms
memory: 4212kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 4ms
memory: 3676kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 45ms
memory: 5412kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 13ms
memory: 4064kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 25ms
memory: 4616kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 20ms
memory: 4444kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 31ms
memory: 4784kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

score: 0
Accepted
time: 1ms
memory: 3432kb

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 28ms
memory: 4696kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 1ms
memory: 3556kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

score: 0
Accepted
time: 1ms
memory: 3444kb

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 1ms
memory: 3428kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 1ms
memory: 3444kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 1ms
memory: 3500kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

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

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 1ms
memory: 3452kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 1ms
memory: 3444kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

score: 0
Accepted
time: 1ms
memory: 3564kb

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

score: 0
Accepted
time: 1ms
memory: 3512kb

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 3ms
memory: 3680kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

score: 0
Accepted
time: 1ms
memory: 3556kb

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 1ms
memory: 3488kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 1ms
memory: 3444kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 0ms
memory: 3436kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'