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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#325534#7954. Special Numbersmateberishvili#AC ✓4ms9800kbC++233.2kb2024-02-11 16:28:502024-02-11 16:28:50

Judging History

你现在查看的是最新测评结果

  • [2024-02-11 16:28:50]
  • 评测
  • 测评结果:AC
  • 用时:4ms
  • 内存:9800kb
  • [2024-02-11 16:28:50]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int MOD = (int) 1e9 + 7;

int add(int a, int b, int m = MOD) {
	return a + b < m ? a + b : a + b - m;
}

int mul(int a, int b, int m = MOD) {
	return a * 1ll * b % m;
}

void addTo(int &a, int b, int m = MOD) {
	a += b;
	
	if (a >= m) {
		a -= m;
	}
}

ll k;
string L, R;

int dp[60][40][30][25][2][2];
int new_dp[60][40][30][25][2][2];
int req[4];
int memo[10][4];

int calc(string s, bool count_less) {
	while (s.size() < 25) {
		s = "0" + s;
	}
	
	for (int a = 0; a <= req[0]; a++) {
		for (int b = 0; b <= req[1]; b++) {
			for (int c = 0; c <= req[2]; c++) {
				for (int d = 0; d <= req[3]; d++) {
					for (int le = 0; le < 2; le++) {
						for (int z = 0; z < 2; z++) {
							dp[a][b][c][d][le][z] = 0;
							new_dp[a][b][c][d][le][z] = 0;
						}
					}
				}
			}
		}
	}
	
	dp[0][0][0][0][0][1] = 1;
	
	for (int i = 0; i < s.size(); i++) {
		int cur_digit = s[i] - '0';
		
		for (int a = 0; a <= req[0]; a++) {
			for (int b = 0; b <= req[1]; b++) {
				for (int c = 0; c <= req[2]; c++) {
					for (int d = 0; d <= req[3]; d++) {
						for (int le = 0; le < 2; le++) {
							for (int z = 0; z < 2; z++) {
								int me = dp[a][b][c][d][le][z];
								
								if (!me) {
									continue;
								}
								
								for (int x = 0; x <= 9; x++) {				
									if (le == 0 && x > cur_digit) {
										continue;
									}
									
									int new_le = le || (x < cur_digit);
									int new_a = x == 0 ? (z == 1 ? 0 : req[0]) : (k > 1 ? a : min(req[0], a + memo[x][0]));
									int new_b = x == 0 ? (z == 1 ? 0 : req[1]) : (k > 1 ? b : min(req[1], b + memo[x][1]));
									int new_c = x == 0 ? (z == 1 ? 0 : req[2]) : (k > 1 ? c : min(req[2], c + memo[x][2]));
									int new_d = x == 0 ? (z == 1 ? 0 : req[3]) : (k > 1 ? d : min(req[3], d + memo[x][3]));
									int new_z = z && (x == 0);
									
									addTo(new_dp[new_a][new_b][new_c][new_d][new_le][new_z], me);
								}
							}
						}
					}
				}
			}
		}
		
		for (int a = 0; a <= req[0]; a++) {
			for (int b = 0; b <= req[1]; b++) {
				for (int c = 0; c <= req[2]; c++) {
					for (int d = 0; d <= req[3]; d++) {
						for (int le = 0; le < 2; le++) {
							for (int z = 0; z < 2; z++) {
								dp[a][b][c][d][le][z] = new_dp[a][b][c][d][le][z];
								new_dp[a][b][c][d][le][z] = 0;
							}
						}
					}
				}
			}
		}
	}
	
	int ans = 0;
	
	for (int le = (count_less ? 1 : 0); le < 2; le++) {
		addTo(ans, dp[req[0]][req[1]][req[2]][req[3]][le][0]);
	}
	
	return ans;
}

int main() {	
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	
	cin >> k >> L >> R;
	
	int tmp = 0;
	
	for (int p: {2, 3, 5, 7}) {
		int cnt = 0;
		
		while (k % p == 0) {
			k /= p;
			cnt++;
		}
		
		req[tmp++] = cnt;
	}
	
	for (int i = 1; i <= 9; i++) {
		int v = i, p = 0;
		
		for (int k: {2, 3, 5, 7}) {
			int cnt = 0;
			
			while (v % k == 0) {
				cnt++;
				v /= k;
			}
			
			memo[i][p++] = cnt;
		}
	}
	
	if (k > 1) {
		req[0] = req[1] = req[2] = req[3] = 1;
	}
	
	int ans = calc(R, false);
	ans = add(ans, MOD - calc(L, true));
	cout << ans << '\n';
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5656kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 1ms
memory: 5824kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

score: 0
Accepted
time: 1ms
memory: 5680kb

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 1ms
memory: 5828kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 1ms
memory: 5548kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

score: 0
Accepted
time: 0ms
memory: 5688kb

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 1ms
memory: 6264kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 1ms
memory: 5740kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 1ms
memory: 5968kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 0ms
memory: 6008kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 4ms
memory: 6996kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 0ms
memory: 6140kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 2ms
memory: 5888kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 2ms
memory: 6152kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 3ms
memory: 8760kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

score: 0
Accepted
time: 0ms
memory: 5572kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 2ms
memory: 6224kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 4ms
memory: 9800kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 2ms
memory: 6052kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 2ms
memory: 6472kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 1ms
memory: 5808kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 0ms
memory: 6344kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 2ms
memory: 6624kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 1ms
memory: 5712kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 2ms
memory: 6232kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 0ms
memory: 6404kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

score: 0
Accepted
time: 1ms
memory: 5840kb

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 1ms
memory: 5672kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 2ms
memory: 6380kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 0ms
memory: 7916kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 3ms
memory: 7336kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 1ms
memory: 5668kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 3ms
memory: 6972kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 0ms
memory: 6976kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 3ms
memory: 8776kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 2ms
memory: 5884kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 3ms
memory: 6604kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

score: 0
Accepted
time: 1ms
memory: 5652kb

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 3ms
memory: 9040kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 1ms
memory: 5604kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

score: 0
Accepted
time: 1ms
memory: 7712kb

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 1ms
memory: 5684kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 1ms
memory: 5564kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 1ms
memory: 5584kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 1ms
memory: 5844kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 1ms
memory: 5600kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 1ms
memory: 5608kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

score: 0
Accepted
time: 1ms
memory: 5692kb

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

score: 0
Accepted
time: 1ms
memory: 5664kb

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 1ms
memory: 6204kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

score: 0
Accepted
time: 1ms
memory: 5668kb

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 1ms
memory: 5880kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 1ms
memory: 7616kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 1ms
memory: 5660kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'