QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#741445#7954. Special Numbersyuto1115#AC ✓600ms7844kbC++201.7kb2024-11-13 14:23:202024-11-13 14:23:20

Judging History

你现在查看的是最新测评结果

  • [2024-11-13 14:23:20]
  • 评测
  • 测评结果:AC
  • 用时:600ms
  • 内存:7844kb
  • [2024-11-13 14:23:20]
  • 提交

answer

#include <cstdio>
#include <vector>
#include <algorithm>
#include <map>

const int md = 1000000007;

inline int add(int a, int b) {
	return a + b < md ? a + b : a + b - md;
}
inline int sub(int a, int b) {
	return a - b < 0 ? a - b + md : a - b;
}
inline int mul(int a, int b) {
	return (long long)a * b % md;
}

const int N = 23;
long long k;
int num = 0;
char l[N], r[N];
std::map<long long, int> repr;
std::vector<std::vector<int> > dp;
std::vector<long long> back;

void build(long long k, int i = 2) {
	if (i == 8) return;
	build(k, i + 1);
	while (!(k % i)) {
		k /= i;
		repr[k] = num++;
		back.push_back(k);
		build(k, i + 1);
	}
}

long long f(char *s, bool isr) {
	int len, ans = 0;
	for (len = 1; s[len]; ++len) {
		ans = add(ans, sub(dp[len][0], dp[len - 1][repr[1]]));
	}
	long long kk = k;
	for (int i = 0; i < len; ++i) {
		int dig = s[i] - '0';
		for (int j = 0 + !i; j < dig; ++j) {
			long long g = std::__gcd((long long)j, kk);
			ans = add(ans, dp[len - i - 1][j == 0 ? repr[1] : repr[kk / g]]);
		}
		if (!dig) kk = 1;
		else {
			long long g = std::__gcd((long long)dig, kk);
			kk /= g;
		}
	}
	if (kk == 1 && isr) ans = add(ans, 1);
	return ans;
}

int main() {
	scanf("%lld%s%s", &k, l, r);
	repr[k] = 0;
	back.push_back(k);
	++num;
	build(k);
	if (!repr.count(1)) {
		repr[1] = num++;
		back.push_back(1);
	}
	for (int len = 0; len < N; ++len) {
		dp.push_back(std::vector<int>(back.size()));
		if (len == 0) {
			dp[0][repr[1]] = 1;
			continue;
		}
		for (int i = 0; i < (int)back.size(); ++i) {
			long long val = back[i];
			for (int j = 0; j < 10; ++j) {
				long long g = std::__gcd((long long)j, val);
				dp[len][i] = add(dp[len][i], dp[len - 1][j == 0 ? repr[1] : repr[val / g]]);
			}
		}
	}
	printf("%d\n", sub(f(r, 1), f(l, 0)));
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 4028kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 0ms
memory: 4024kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 0ms
memory: 4024kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 0ms
memory: 4060kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3780kb

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3828kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3888kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 202ms
memory: 4680kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 402ms
memory: 6372kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 79ms
memory: 3980kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 72ms
memory: 4008kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 93ms
memory: 4892kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 346ms
memory: 7168kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3992kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 15ms
memory: 3960kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 579ms
memory: 7844kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 64ms
memory: 3952kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 73ms
memory: 3972kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 17ms
memory: 4228kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 30ms
memory: 3916kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 7ms
memory: 3904kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 1ms
memory: 3768kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 71ms
memory: 3976kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 49ms
memory: 3972kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

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

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 1ms
memory: 3768kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 141ms
memory: 4496kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 600ms
memory: 7776kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 255ms
memory: 5640kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

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

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 394ms
memory: 6904kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 78ms
memory: 4004kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 364ms
memory: 6972kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 49ms
memory: 3992kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 293ms
memory: 5852kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

score: 0
Accepted
time: 0ms
memory: 4020kb

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 371ms
memory: 6824kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3992kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

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

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3724kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3988kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 0ms
memory: 3808kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 0ms
memory: 3728kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

score: 0
Accepted
time: 0ms
memory: 4024kb

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 15ms
memory: 3932kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

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

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'