QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#296181#7954. Special Numbersdefyers#AC ✓274ms4376kbC++174.1kb2024-01-02 13:17:092024-01-02 13:17:09

Judging History

你现在查看的是最新测评结果

  • [2024-01-02 13:17:09]
  • 评测
  • 测评结果:AC
  • 用时:274ms
  • 内存:4376kb
  • [2024-01-02 13:17:09]
  • 提交

answer

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

#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")

using ll = long long;
using pii = pair<int, int>;

using int128 = __int128;

int p2 = 0, p3 = 0, p5 = 0, p7 = 0;

ll k;

const ll mod = 1000000007;

ll g(int len, vector<int> &l, vector<int> &r) {
	int P2 = p2 + 1;
	int P3 = p3 + 1;
	int P5 = p5 + 1;
	int P7 = p7 + 1;
	for (int i = 0; i < len; i++) if (l[i] > r[i]) return 0;

	vector dp(P2, vector(P3, vector(P5, vector(P7, vector(2, 0ll)))));
	dp[0][0][0][0][0] = 1;

	for (int _ = 0; _ < len; _++) {
		vector ndp(P2, vector(P3, vector(P5, vector(P7, vector(2, 0ll)))));
		for (int c = l[_]; c <= r[_]; c++) {
			// cout << c << " ";
			for (int i = 0; i < P2; i++) {
				for (int j = 0; j < P3; j++) {
					for (int k = 0; k < P5; k++) {
						for (int l = 0; l < P7; l++) {
							for (int h = 0; h < 2; h++) {
								if (c == 0) {
									ndp[i][j][k][l][1] += dp[i][j][k][l][h];
								}
								if (c == 1) {
									ndp[i][j][k][l][h] += dp[i][j][k][l][h];
								}
								if (c == 2) {
									ndp[min(i + 1, p2)][j][k][l][h] += dp[i][j][k][l][h];
								}
								if (c == 3) {
									ndp[i][min(j + 1, p3)][k][l][h] += dp[i][j][k][l][h];
								}
								if (c == 4) {
									ndp[min(i + 2, p2)][j][k][l][h] += dp[i][j][k][l][h];
								}
								if (c == 5) {
									ndp[i][j][min(k + 1, p5)][l][h] += dp[i][j][k][l][h];
								}
								if (c == 6) {
									ndp[min(i + 1, p2)][min(j + 1, p3)][k][l][h] += dp[i][j][k][l][h];
								}
								if (c == 7) {
									ndp[i][j][k][min(l + 1, p7)][h] += dp[i][j][k][l][h];
								}
								if (c == 8) {
									ndp[min(i + 3, p2)][j][k][l][h] += dp[i][j][k][l][h];
								}
								if (c == 9) {
									ndp[i][min(j + 2, p3)][k][l][h] += dp[i][j][k][l][h];
								}
							}
						}
					}
				}
			}
		}

		for (int i = 0; i < P2; i++) {
			for (int j = 0; j < P3; j++) {
				for (int k = 0; k < P5; k++) {
					for (int l = 0; l < P7; l++) {
						for (int h = 0; h < 2; h++) {
							dp[i][j][k][l][h] = (ndp[i][j][k][l][h]) % mod;
						}
					}
				}
			}
		}
		// cout << endl;
	}

	ll ret = 0;
	for (int i = 0; i < P2; i++) {
		for (int j = 0; j < P3; j++) {
			for (int k = 0; k < P5; k++) {
				for (int l = 0; l < P7; l++) {
					ret += dp[i][j][k][l][1];
				}
			}
		}
	}
	if (k == 1) ret += dp[p2][p3][p5][p7][0];

	return ret % mod;
}

unordered_map<int, ll> H;

ll f(int128 n) {
	if (n == 0) return 0;
	ll ans = 0;
	{
		vector<int> L, R;
		L.push_back(1), R.push_back(9);
		for (int128 i = 1, x = 10; n >= x; i++, x *= 10) {
			if (H.count(i)) ans += H[i];
			else {
				ll val = g(i, L, R);
				ans += val;
				H[i] = val;
			}
			L.push_back(0), R.push_back(9);
		}
	}

	{
		string s = "";
		if (n == 0) {
			s = "0";
		}
		else {
			int128 nn = n;
			while (nn > 0) {
				s += (nn % 10) + '0';
				nn /= 10;
			}
			reverse(s.begin(), s.end());
		}
		int len = s.size();
		vector<int> L, R;
		for (int i = 0; i < len; i++) {
			L.push_back(s[i] - '0');
			R.push_back(s[i] - '0');
		}

		for (int i = 0; i < len; i++) {
			auto L2 = L, R2 = R;
			if (i == 0) L2[i] = 1;
			else L2[i] = 0;
			R2[i]--;
			for (int j = i + 1; j < len; j++) {
				L2[j] = 0;
				R2[j] = 9;
			}

			ans += g(len, L2, R2);
		}

		ans += g(len, L, R);
	}

	return ans;
}

void solve(int TC) {
	H.reserve(100);
	cin >> k;
	string sl, sr;
	cin >> sl >> sr;

	int128 l = 0, r = 0;
	for (auto x: sl) {
		l = l * 10 + x - '0';
	}
	for (auto x: sr) {
		r = r * 10 + x - '0';
	}

	while (k % 2 == 0) {
		p2++;
		k /= 2;
	}
	while (k % 3 == 0) {
		p3++;
		k /= 3;
	}
	while (k % 5 == 0) {
		p5++;
		k /= 5;
	}
	while (k % 7 == 0) {
		p7++;
		k /= 7;
	}

	ll ans = f(r) - f(l - 1); 
	ans = (ans % mod + mod) % mod;
	cout << ans << "\n";
}

int32_t main() {
	cin.tie(0)->sync_with_stdio(0);
	cout << fixed << setprecision(10);

	int t = 1;
	// cin >> t;

	for (int i = 1; i <= t; i++) {
		solve(i);
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3868kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3856kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

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

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 3ms
memory: 3580kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 11ms
memory: 3892kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 7ms
memory: 3644kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 150ms
memory: 3880kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 274ms
memory: 4376kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 81ms
memory: 3808kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 118ms
memory: 3880kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 118ms
memory: 3836kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 94ms
memory: 3736kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 64ms
memory: 4020kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 156ms
memory: 3912kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 51ms
memory: 3676kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 56ms
memory: 3816kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 39ms
memory: 3676kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 31ms
memory: 3640kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 14ms
memory: 3668kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 12ms
memory: 3808kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 39ms
memory: 3952kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 29ms
memory: 3956kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 12ms
memory: 3656kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 74ms
memory: 3740kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 221ms
memory: 4356kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 132ms
memory: 3860kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 21ms
memory: 3612kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 162ms
memory: 3944kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 66ms
memory: 3720kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 93ms
memory: 3808kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 122ms
memory: 4128kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 115ms
memory: 3756kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 112ms
memory: 3852kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 1ms
memory: 3568kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

score: 0
Accepted
time: 1ms
memory: 3568kb

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 1ms
memory: 3620kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

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

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 1ms
memory: 3824kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 1ms
memory: 3624kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 1ms
memory: 3740kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

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

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 9ms
memory: 3632kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

score: 0
Accepted
time: 0ms
memory: 3848kb

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

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

input:

9 800 43021

output:

30930

result:

ok single line: '30930'