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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#301343#7954. Special NumbersHimeno_Towa#AC ✓23ms5488kbC++202.6kb2024-01-09 18:09:562024-01-09 18:09:57

Judging History

你现在查看的是最新测评结果

  • [2024-01-09 18:09:57]
  • 评测
  • 测评结果:AC
  • 用时:23ms
  • 内存:5488kb
  • [2024-01-09 18:09:56]
  • 提交

answer

#include <bits/stdc++.h>

const int mod = 1e9 + 7;

inline int mul(int x, int y){return 1ll * x * y % mod;}
inline int add(int x, int y){return x + y >= mod ? x + y - mod : x + y;}
inline int minus(int x, int y){return x < y ? x - y + mod : x - y;}

long long k;

int lenl, lenr, a[25];

char l[25], r[25];


std::unordered_map <long long, int> dp[25][2];

inline long long t(long long x){return std::__gcd(x, k) % k;}

int cal1(char s[]){
  int len = strlen(s);
  if(len == 1 && s[0] == '0') return 0;
  for(int i = 0; i < len; ++i) a[i] = s[i] - '0';
  for(int i = 0; i < len; ++i) dp[i][0].clear(), dp[i][1].clear();
  for(int i = 1; i < a[len - 1]; ++i) dp[len - 1][1][t(i)]++;
  dp[len - 1][0][t(a[len - 1])]++;
  for(int i = len - 2; i >= 0; --i){
    for(int j = 1; j <= 9; ++j) dp[i][1][t(j)]++;
    for(auto [u, v]: dp[i + 1][0])
      for(int o = 0; o <= 9; ++o){
        if(o > a[i]) continue;
        int nxt = 0; if(o < a[i]) nxt = 1; long long x = t(u * o);
        dp[i][nxt][x] = add(dp[i][nxt][x], v);
      }
    for(auto [u, v]: dp[i + 1][1])
      for(int o = 0; o <= 9; ++o){
        long long x = t(u * o);
        dp[i][1][x] = add(dp[i][1][x], v);
      }
  }
  int res = 0;
  for(int i = 0; i <= 1; ++i) res = add(res, dp[0][i][0]);
  return res;
}

int f[25][2][2];

int cal2(char s[]){
  int len = strlen(s);
  if(len == 1 && s[0] == '0') return 0;
  for(int i = 0; i < len; ++i) a[i] = s[i] - '0';
  memset(f, 0, sizeof f);
  for(int i = 1; i < a[len - 1]; ++i) f[len - 1][1][0]++;
  f[len - 1][0][0]++;
  for(int i = len - 2; i >= 0; --i){
    for(int j = 1; j <= 9; ++j) f[i][1][0]++;
    for(int j = 0; j <= 1; ++j){
      for(int p = 0; p <= 1; ++p){
        for(int o = 0; o <= 9; ++o){
          if(j == 0 && o > a[i]) continue;
          int nxt = j | (o < a[i]), nnxt = p | (o == 0);
          f[i][nxt][nnxt] = add(f[i][nxt][nnxt], f[i + 1][j][p]);
        }
      }
    }
  }
  return add(f[0][0][1], f[0][1][1]);
}

int main(){
  scanf("%lld%s%s", &k, l, r);
  lenl = strlen(l), lenr = strlen(r);
  std::reverse(l, l + lenl);
  std::reverse(r, r + lenr);
  --l[0]; int now = 0;
  while(now < lenl && l[now] < '0') l[now] += 10, --l[++now];
  now = lenl - 1;
  while(now > 0 && l[now] == '0') --now;
  l[now + 1] = '\0';
  long long kk = k;
  for(int i = 2; i <= 9; ++i){
    if(kk % i == 0){
      while(kk % i == 0){
        kk /= i;
      }
    }
  }
  if(kk != 1ll){
    printf("%d\n", minus(cal2(r), cal2(l)));
    return 0;
  }
  printf("%d\n", minus(cal1(r), cal1(l)));
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 4060kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

score: 0
Accepted
time: 0ms
memory: 4056kb

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

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

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3804kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3872kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 15ms
memory: 5188kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 23ms
memory: 5488kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 8ms
memory: 4380kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 7ms
memory: 4636kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 11ms
memory: 4748kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 3ms
memory: 4220kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

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

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 5ms
memory: 4204kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 14ms
memory: 4932kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 3ms
memory: 4288kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 6ms
memory: 4288kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 4ms
memory: 4128kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 3ms
memory: 4288kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 1ms
memory: 3888kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 1ms
memory: 4124kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 2ms
memory: 4104kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 2ms
memory: 4060kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 1ms
memory: 3860kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 8ms
memory: 4420kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 19ms
memory: 5232kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 6ms
memory: 4348kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 2ms
memory: 3908kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 18ms
memory: 5300kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 6ms
memory: 4192kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 10ms
memory: 4628kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 10ms
memory: 4808kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 11ms
memory: 4748kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

score: 0
Accepted
time: 0ms
memory: 4052kb

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 12ms
memory: 4780kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 0ms
memory: 4064kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

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

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

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

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3788kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

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

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

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

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

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

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 0ms
memory: 4052kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'