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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#327308#7954. Special NumbersckisekiAC ✓10ms22544kbC++203.5kb2024-02-14 21:24:542024-02-14 21:24:55

Judging History

你现在查看的是最新测评结果

  • [2024-02-14 21:24:55]
  • 评测
  • 测评结果:AC
  • 用时:10ms
  • 内存:22544kb
  • [2024-02-14 21:24:54]
  • 提交

answer

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

constexpr int mod = 1'000'000'007;

constexpr int add(int a, int b) { return a + b >= mod ? a + b - mod : a + b; }
constexpr int sub(int a, int b) { return a - b < 0 ? a - b + mod : a - b; }

int d[30];

int step[30][2][57][36][25][21], stepc;
int dp[30][2][57][36][25][21];

void subD(int x, int &c2, int &c3, int &c5, int &c7) {
  int cur2 = 0, cur3 = 0, cur5 = 0, cur7 = 0;
  if (x == 0)
    cur2 = 7122, cur3 = 7122, cur5 = 7122, cur7 = 7122;
  else if (x == 2)
    cur2 = 1;
  else if (x == 3)
    cur3 = 1;
  else if (x == 4)
    cur2 = 2;
  else if (x == 5)
    cur5 = 1;
  else if (x == 6)
    cur2 = 1, cur3 = 1;
  else if (x == 7)
    cur7 = 1;
  else if (x == 8)
    cur2 = 3;
  else if (x == 9)
    cur3 = 2;
  c2 = max(0, c2 - cur2);
  c3 = max(0, c3 - cur3);
  c5 = max(0, c5 - cur5);
  c7 = max(0, c7 - cur7);
}

int go(int n, bool any, int c2, int c3, int c5, int c7) {
  if (n == -1)
    return c2 + c3 + c5 + c7 == 0;
  if (step[n][any][c2][c3][c5][c7] == stepc)
    return dp[n][any][c2][c3][c5][c7];
  step[n][any][c2][c3][c5][c7] = stepc;
  int ret = 0;
  for (int x = 0; x < 10; ++x) {
    if (not any and x > d[n])
      break;
    int cur2 = c2, cur3 = c3, cur5 = c5, cur7 = c7;
    subD(x, cur2, cur3, cur5, cur7);
    ret = add(ret, go(n - 1, any or x < d[n], cur2, cur3, cur5, cur7));
  }
  return dp[n][any][c2][c3][c5][c7] = ret;
}

int step0[30][2][2];
int dp0[20][2][2];

int solve0(int n, bool any, bool has0) {
  if (n == -1)
    return has0;
  if (step0[n][any][has0] == stepc)
    return dp0[n][any][has0];
  step0[n][any][has0] = stepc;
  int ret = 0;
  for (int x = 0; x < 10; ++x) {
    if (not any and x > d[n])
      break;
    ret = add(ret, solve0(n - 1, any or x < d[n], has0 or (x == 0)));
  }
  return dp0[n][any][has0] = ret;
}

using i128 = __int128;

i128 Parse(string_view s) {
  i128 r = 0;
  for (auto c : s)
    r = r * 10 + c - '0';
  return r;
}

int solve(int64_t k, i128 b) {
  if (b == 0)
    return 0;
  int c2 = 0, c3 = 0, c5 = 0, c7 = 0;
  while (k % 2 == 0) {
    k /= 2;
    c2++;
  }
  while (k % 3 == 0) {
    k /= 3;
    c3++;
  }
  while (k % 5 == 0) {
    k /= 5;
    c5++;
  }
  while (k % 7 == 0) {
    k /= 7;
    c7++;
  }

  int n = 0;
  while (b) {
    d[n++] = b % 10;
    b /= 10;
  }
  d[n] = 0;
  stepc += 1;

  int ret = 0;

  if (k > 1) {
    for (int i = n - 1; i >= 0; --i) {
      if (i == n - 1) {
        for (int j = 1; j <= d[i]; ++j) {
          ret = add(ret, solve0(i - 1, j < d[i], false));
        }
      } else {
        for (int j = 1; j < 10; ++j) {
          ret = add(ret, solve0(i - 1, true, false));
        }
      }
    }
    return ret;
  }

  for (int i = n - 1; i >= 0; --i) {
    if (i == n - 1) {
      for (int j = 1; j <= d[i]; ++j) {
        int cur2 = c2, cur3 = c3, cur5 = c5, cur7 = c7;
        subD(j, cur2, cur3, cur5, cur7);
        ret = add(ret, go(i - 1, j < d[i], cur2, cur3, cur5, cur7));
      }
    } else {
      for (int j = 1; j < 10; ++j) {
        int cur2 = c2, cur3 = c3, cur5 = c5, cur7 = c7;
        subD(j, cur2, cur3, cur5, cur7);
        ret = add(ret, go(i - 1, true, cur2, cur3, cur5, cur7));
      }
    }
  }
  return ret;
}

int main() {
  cin.tie(nullptr)->sync_with_stdio(false);
  int64_t k;
  string l, r;
  cin >> k >> l >> r;
  cout << sub(solve(k, Parse(r)), solve(k, Parse(l) - 1)) << '\n';
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3832kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

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

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

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

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3896kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3552kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

score: 0
Accepted
time: 1ms
memory: 3732kb

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 0ms
memory: 8464kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 0ms
memory: 5216kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 0ms
memory: 5524kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 0ms
memory: 7960kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 4ms
memory: 9892kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 4ms
memory: 7096kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 5ms
memory: 7656kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 0ms
memory: 8744kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 3ms
memory: 22544kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 2ms
memory: 5504kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 8ms
memory: 17216kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 0ms
memory: 7792kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 5ms
memory: 9128kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 2ms
memory: 5512kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 5ms
memory: 8964kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 0ms
memory: 12668kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

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

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 0ms
memory: 9892kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 0ms
memory: 9268kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 1ms
memory: 4172kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 0ms
memory: 8552kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 3ms
memory: 14404kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 0ms
memory: 11464kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 1ms
memory: 4700kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 4ms
memory: 13048kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 3ms
memory: 13716kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 4ms
memory: 14188kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 3ms
memory: 5764kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 4ms
memory: 12212kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

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

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 10ms
memory: 15768kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

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

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

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

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 1ms
memory: 3812kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

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

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 0ms
memory: 6644kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

score: 0
Accepted
time: 1ms
memory: 3936kb

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

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

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 0ms
memory: 3964kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'