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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#298446#7954. Special NumbersSolitaryDream#AC ✓75ms986340kbC++171.6kb2024-01-06 10:09:412024-01-06 10:09:43

Judging History

你现在查看的是最新测评结果

  • [2024-01-06 10:09:43]
  • 评测
  • 测评结果:AC
  • 用时:75ms
  • 内存:986340kb
  • [2024-01-06 10:09:41]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define int long long
using sit = string::iterator;
const int pri[] = {2, 3, 5, 7};
const int p = 1e9 + 7;
int f[24][70][45][32][26][2];
inline vector<int> Dec(vector<int> cnt, int val, int pz) {
    if (!pz && val == 0) return {0, 0, 0, 0, 0};
    if (val == 0) return cnt;
    for (int i = 0; i < 4; ++i) {
        while (cnt[i] && val % pri[i] == 0) val /= pri[i], --cnt[i];
    }
    return cnt;
}
inline int Dp(sit cur, sit ed, vector<int> cnt, int pz, int lim) {
    if (cur == ed) {
        return cnt == vector<int>({0, 0, 0, 0, 0});
    }
    int &fv = f[ed - cur][cnt[0]][cnt[1]][cnt[2]][cnt[3]][cnt[4]];
    if (!pz && !lim && fv != -1) return fv;
    int ans = 0;
    int vr = lim ? *cur - '0' : 9;
    for (int i = 0; i <= vr; ++i) {
        ans += Dp(next(cur), ed, Dec(cnt, i, pz), pz && i == 0, lim && i == vr);
    }
    ans %= p;
    if (!pz && !lim) fv = ans;
    return ans;
}
signed main() {
    memset(f, -1, sizeof f);
    int k;
    string L, R;
    cin >> k >> L >> R;
    vector<int> cnt(5);
    {
        int tk = k;
        for (int i = 0; i < 4; ++i) {
            while (tk % pri[i] == 0) tk /= pri[i], ++cnt[i]; 
        }
        if (tk > 1) ++cnt[4];
    }
    int ans = Dp(R.begin(), R.end(), cnt, 1, 1);
    // cout << ans << endl;
    ans -= Dp(L.begin(), L.end(), cnt, 1, 1);
    {
        int tk = k;
        for (auto c : L) tk = tk / __gcd(tk, (int)(c - '0'));
        if (tk == 1) ++ans;
    }
    ans = (ans % p + p) % p;
    cout << ans << endl;
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 63ms
memory: 986256kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 52ms
memory: 986260kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

score: 0
Accepted
time: 28ms
memory: 986296kb

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 44ms
memory: 986220kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 28ms
memory: 986296kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

score: 0
Accepted
time: 48ms
memory: 986228kb

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 52ms
memory: 986272kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 48ms
memory: 986268kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 40ms
memory: 986228kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 40ms
memory: 986336kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 75ms
memory: 986296kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 43ms
memory: 986216kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 55ms
memory: 986272kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 48ms
memory: 986228kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 31ms
memory: 986224kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

score: 0
Accepted
time: 32ms
memory: 986272kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 52ms
memory: 986340kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 43ms
memory: 986336kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 47ms
memory: 986272kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 40ms
memory: 986276kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 32ms
memory: 986228kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 28ms
memory: 986236kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 15ms
memory: 986304kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 39ms
memory: 986300kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 36ms
memory: 986268kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 43ms
memory: 986228kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

score: 0
Accepted
time: 51ms
memory: 986272kb

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 60ms
memory: 986220kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 47ms
memory: 986336kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 43ms
memory: 986224kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 75ms
memory: 986236kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 47ms
memory: 986236kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 51ms
memory: 986300kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 43ms
memory: 986260kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 56ms
memory: 986224kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 48ms
memory: 986228kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 47ms
memory: 986300kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

score: 0
Accepted
time: 48ms
memory: 986332kb

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 63ms
memory: 986228kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 52ms
memory: 986220kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

score: 0
Accepted
time: 15ms
memory: 986296kb

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 24ms
memory: 986300kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 39ms
memory: 986224kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 24ms
memory: 986268kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 35ms
memory: 986300kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 47ms
memory: 986228kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 11ms
memory: 986236kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

score: 0
Accepted
time: 31ms
memory: 986284kb

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

score: 0
Accepted
time: 35ms
memory: 986328kb

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 47ms
memory: 986228kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

score: 0
Accepted
time: 32ms
memory: 986212kb

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 55ms
memory: 986328kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 40ms
memory: 986220kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 39ms
memory: 986300kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'