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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#302384#7954. Special NumbersPetroTarnavskyi#AC ✓94ms6312kbC++202.0kb2024-01-10 20:15:042024-01-10 20:15:04

Judging History

你现在查看的是最新测评结果

  • [2024-01-10 20:15:04]
  • 评测
  • 测评结果:AC
  • 用时:94ms
  • 内存:6312kb
  • [2024-01-10 20:15:04]
  • 提交

answer

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

#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define RFOR(i, b, a) for(int i = (b) - 1; i >= (a); i--)
#define SZ(a) (int)a.size()
#define ALL(a) a.begin(), a.end()
#define PB push_back
#define MP make_pair
#define F first
#define S second

typedef __int128 LL;
typedef vector<int> VI;
typedef pair<int, int> PII;
typedef double db;

const int LOG = 22;

VI digits;
LL dpT1[LOG][2][2][2];
LL dp1(int pos, int prefd, int eq, int has1)
{
	if(pos == SZ(digits))
		return has1;
	if(dpT1[pos][prefd][eq][has1] != -1)
		return dpT1[pos][prefd][eq][has1];
	
	int mx = 10;
	if(eq)
		mx = digits[pos] + 1;
	
	LL res = 0;
	FOR(cur, 0, mx)
		res += dp1(pos + 1, prefd || (cur != 0), eq && (cur == digits[pos]), has1 || (prefd && (cur == 0)));
	return dpT1[pos][prefd][eq][has1] = res;
}
map<LL, LL> dpT2[LOG][2];
LL dp2(int pos, int eq, long long k)
{
	if(pos == SZ(digits))
		return (k == 1);
	
	if(dpT2[pos][eq].count(k))
		return dpT2[pos][eq][k];
	
	int mx = 10;
	if(eq)
		mx = digits[pos] + 1;
	
	LL res = 0;
	FOR(cur, 1, mx)
		res += dp2(pos + 1, eq & (cur == digits[pos]), k / gcd(k, (long long)cur));
	return dpT2[pos][eq][k] = res;
}

LL solve(LL k, __int128 n)
{
	if(n == 0)
		return 0;
	digits.clear();
	FOR(i, 0, LOG)
		FOR(j, 0, 2)
		{
			FOR(l, 0, 2)
				FOR(m, 0, 2)
					dpT1[i][j][l][m] = -1;
			dpT2[i][j].clear();
		}
	
	
	while(n)
	{
		digits.PB(n % 10);
		n /= 10;
	}
	reverse(ALL(digits));
	
	LL ans = dp1(0, 0, 1, 0);
	ans += dp2(0, 1, k);
	FOR(i, 1, SZ(digits))
		ans += dp2(i, 0, k);
	
	return ans;
}


int main()
{
	ios::sync_with_stdio(0); 
	cin.tie(0);
	cout << fixed << setprecision(15);
	
	
	long long k;
	string l, r;
	cin >> k >> l >> r;
	
	__int128 L = 0, R = 0;
	FOR(i, 0, SZ(l))
		L = 10 * L + (l[i] - '0');
	FOR(i, 0, SZ(r))
		R = 10 * R + (r[i] - '0');
	
	
	LL ans = solve(k, R) - solve(k, L - 1);
	
	int mod = 1e9 + 7;
	
	cout << (int)(ans % mod) << "\n";
	
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3452kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

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

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

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

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

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

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

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

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

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

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

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

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 53ms
memory: 5260kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 94ms
memory: 6312kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 26ms
memory: 4524kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 39ms
memory: 4792kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 38ms
memory: 5136kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 22ms
memory: 4360kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

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

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 15ms
memory: 4112kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 54ms
memory: 5392kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 17ms
memory: 4204kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 17ms
memory: 4296kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 6ms
memory: 3996kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 7ms
memory: 3952kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

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

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 11ms
memory: 4028kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 10ms
memory: 4004kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

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

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 2ms
memory: 3688kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 20ms
memory: 4556kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 72ms
memory: 5924kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 25ms
memory: 4420kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 4ms
memory: 3732kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 67ms
memory: 5848kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 19ms
memory: 4192kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 37ms
memory: 4956kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 32ms
memory: 4652kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 43ms
memory: 5144kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

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

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 43ms
memory: 5104kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

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

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

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

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

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

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 1ms
memory: 3496kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 1ms
memory: 3460kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 1ms
memory: 3576kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

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

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

score: 0
Accepted
time: 1ms
memory: 3524kb

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

score: 0
Accepted
time: 0ms
memory: 3464kb

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 3ms
memory: 3664kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

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

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

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

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

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

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 1ms
memory: 3524kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'