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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#611303#7954. Special Numbersrgnerdplayer#AC ✓90ms4420kbC++203.6kb2024-10-04 20:16:182024-10-04 20:16:24

Judging History

你现在查看的是最新测评结果

  • [2024-10-04 20:16:24]
  • 评测
  • 测评结果:AC
  • 用时:90ms
  • 内存:4420kb
  • [2024-10-04 20:16:18]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
using ll = long long;

#define SZ(v) (ll)((v).size())
#define pb emplace_back
#define AI(i) begin(i),end(i)
#define X first
#define Y second

constexpr int P = 1e9 + 7;
void inc(int &a, int b) {
    a += b;
    if (a >= P) {
        a -= P;
    }
}

mt19937 rng(58);

int main(){

    cin.tie(nullptr)->sync_with_stdio(false);
    
    auto solve = [&]() {
        i64 k;
        cin >> k;

        auto read = [&]() {
            string s;
            cin >> s;
            reverse(s.begin(), s.end());
            vector<int> a(s.size());
            for (int i = 0; i < s.size(); i++) {
                a[i] = s[i] - '0';
            }
            return a;
        };

        auto L = read();
        auto R = read();
        L[0]--;

        for (int i = 0; i < L.size(); i++) {
            if (L[i] < 0) {
                assert(i + 1 != L.size());
                L[i] += 10;
                L[i + 1]--;
            } else {
                break;
            }
        }

        while (L.size() > 1 && L.back() == 0) {
            L.pop_back();
        }

        vector<int> primes, pows;
        for (int p : {2, 3, 5, 7}) {
            if (k % p != 0) {
                continue;
            }
            primes.push_back(p);
            pows.push_back(0);
            while (k % p == 0) {
                k /= p;
                pows.back()++;
            }
        }

        if (k != 1) {
            primes.push_back(11);
            pows.push_back(1);
        }

        vector decomp(10, vector<int>(primes.size()));
        for (int i = 1; i < 10; i++) {
            int x = i;
            for (int j = 0; j < primes.size(); j++) {
                while (x % primes[j] == 0) {
                    decomp[i][j]++;
                    x /= primes[j];
                }
                decomp[i][j] = min(decomp[i][j], pows[j]);
            }
        }
        decomp[0] = pows;

        auto add = [&](vector<int> a, vector<int> b) {
            vector<int> c(primes.size());
            for (int i = 0; i < primes.size(); i++) {
                c[i] = min(pows[i], a[i] + b[i]);
            }
            return c;
        };

        vector<int> pow10(30);
        pow10[0] = 1;
        for (int i = 1; i < 30; i++) {
            pow10[i] = pow10[i - 1] * 10LL % P;
        }

        auto work = [&](vector<int> R) {
            vector dp(2, map<vector<int>, int>()), ndp = dp;
            int ans = 0;
            for (int dig = R.size() - 1; dig >= 0; dig--) {
                ndp.assign(2, {});
                for (int x : {0, 1}) {
                    for (auto [a, c] : dp[x]) {
                        /*
                        {
                            bool y = x && R[dig] == 0;
                            int add = !y ? pow10[dig] : (dig > 0 ? pref[dig - 1] : 0) + 1;
                            add = 1LL * add * c % P;
                            inc(ans, add);
                        }
                        */
                        for (int i = 0; i <= (x ? R[dig] : 9); i++) {
                            inc(ndp[x && i == R[dig]][add(a, decomp[i])], c);
                        }
                    }
                }
                for (int i = 1; i <= (dig + 1 == R.size() ? R[dig] : 9); i++) {
                    inc(ndp[dig + 1 == R.size() && i == R[dig]][decomp[i]], 1);
                }
                swap(dp, ndp);
            }
            for (int x : {0, 1}) {
                inc(ans, dp[x][pows]);
            }
            return ans;
        };

        int cr = work(R), cl = work(L);
        int ans = (cr + P - cl) % P;
        cout << ans << '\n';
    };

    solve();
    return 0;
}


Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3552kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

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

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

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

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

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

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

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

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3556kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 3ms
memory: 3660kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 3ms
memory: 3652kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 57ms
memory: 4176kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 90ms
memory: 4416kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 30ms
memory: 3836kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 42ms
memory: 3944kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 45ms
memory: 4032kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 26ms
memory: 3844kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

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

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 21ms
memory: 3816kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 57ms
memory: 4228kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 22ms
memory: 3772kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 22ms
memory: 4000kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 13ms
memory: 3744kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 10ms
memory: 3648kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 4ms
memory: 3648kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 3ms
memory: 3532kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 11ms
memory: 3684kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 15ms
memory: 3720kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

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

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 3ms
memory: 3528kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 29ms
memory: 3864kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 72ms
memory: 4316kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 29ms
memory: 3940kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 6ms
memory: 3644kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 71ms
memory: 4420kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 21ms
memory: 3936kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 39ms
memory: 3920kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 37ms
memory: 3916kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 47ms
memory: 4036kb

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: 49ms
memory: 4188kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

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

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

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

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 1ms
memory: 3796kb

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: 3504kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

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

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

score: 0
Accepted
time: 1ms
memory: 3768kb

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

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

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 3ms
memory: 3684kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

score: 0
Accepted
time: 0ms
memory: 3500kb

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

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

input:

9 800 43021

output:

30930

result:

ok single line: '30930'