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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#350669#7954. Special Numberswarner1129AC ✓417ms14696kbC++203.6kb2024-03-10 23:25:582024-03-10 23:26:00

Judging History

你现在查看的是最新测评结果

  • [2024-03-10 23:26:00]
  • 评测
  • 测评结果:AC
  • 用时:417ms
  • 内存:14696kb
  • [2024-03-10 23:25:58]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

template<ranges::range T, class = enable_if_t<!is_convertible_v<T, string_view>>>
istream& operator>>(istream &s, T &&v) { for (auto &&x : v) s >> x; return s; }
template<ranges::range T, class = enable_if_t<!is_convertible_v<T, string_view>>>
ostream& operator<<(ostream &s, T &&v) { for (auto &&x : v) s << x << ' '; return s; }

#ifdef LOCAL
template<class... T> void dbg(T... x) { char e{}; ((cerr << e << x, e = ' '), ...); }
#define debug(x...) dbg(#x, '=', x, '\n')
#else
#define debug(...) ((void)0)
#endif

#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()
#define ff first
#define ss second

template<class T> inline constexpr T inf = numeric_limits<T>::max() / 2;
template<class T> bool chmin(T &a, T b) { return (b < a and (a = b, true)); }
template<class T> bool chmax(T &a, T b) { return (a < b and (a = b, true)); }

using u32 = unsigned int;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128;
using u128 = unsigned __int128;

constexpr i64 mod = 1e9 + 7;

void solve() {
    i64 k;
    string L, R;
    cin >> k >> L >> R;

    using state = array<i64, 4>;

    // v[0] == -1 : 0
    // v[0] == -2 : empty
    auto upd = [&](state v, int x) -> state {
        if (v[0] == -1) return v;
        if (v[0] == -2) v[0] = 0;
        if (x == 0) return state{-1, 0, 0, 0};
        for (int i = 0; int p : {2, 3, 5, 7}) {
            int c = 0;
            while (x % p == 0) {
                c++;
                x /= p;
            }
            v[i] += c;
            i++;
        }
        return v;
    };

    auto DP = [&upd](string_view S, bool e) -> map<state, i64> {
        array<map<state, i64>, 2> dp{};
        dp[1][state{-2, 0, 0, 0}] = 1;
        
        for (char c : S) {
            int d = c - '0';
            
            decltype(dp) f{};
            for (const auto &[t, v] : dp[0]) {
                for (int i = (t[0] == -2 ? 1 : 0); i <= 9; i++) {
                    (f[0][upd(t, i)] += v) %= mod;
                }
            }
            for (const auto &[t, v] : dp[1]) {
                for (int i = (t[0] == -2 ? 1 : 0); i <= d; i++) {
                    (f[i == d][upd(t, i)] += v) %= mod;
                }
            }
            
            f[0][state{-2, 0, 0, 0}] = 1;
            f.swap(dp);
        }

        if (e) {
            for (const auto &[s, v] : dp[1]) {
                (dp[0][s] += v) %= mod;
            }
        }

        return dp[0];
    };

    auto dpR = DP(R, 1);
    auto dpL = DP(L, 0);

    for (auto &[s, v] : dpL) {
        (dpR[s] += mod - v) %= mod;
    }

    auto cur = [&]() {
        state cur{0, 0, 0, 0};
        for (int i = 0; int p : {2, 3, 5, 7}) {
            int c = 0;
            while (k % p == 0) {
                c++;
                k /= p;
            }
            cur[i] += c;
            i++;
        }
        return cur;
    }();

    // debug(k, cur);

    i64 ans = 0;
    for (auto &[s, v] : dpR) {
        // debug(s, v);
        if (k == 1 and s[0] != -1) {
            bool ok = true;
            for (int i = 0; i < 4; i++)
                ok &= (s[i] >= cur[i]);
            if (ok) ans += v;
        }
        if (s == state{-1, 0, 0, 0}) {
            ans += v;
        }
        ans %= mod;
    }

    cout << ans << '\n';
}

signed main() {
    cin.tie(0)->sync_with_stdio(false);
    int T = 1;
    // cin >> T;
    while (T--)
        solve();
    return 0;
}




Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3640kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3604kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

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

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3612kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

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

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

score: 0
Accepted
time: 1ms
memory: 3600kb

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 213ms
memory: 12184kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 328ms
memory: 13872kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 298ms
memory: 12308kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 368ms
memory: 14400kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 355ms
memory: 14400kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 338ms
memory: 13620kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 356ms
memory: 14068kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 316ms
memory: 12564kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 355ms
memory: 14172kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

score: 0
Accepted
time: 1ms
memory: 3844kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 335ms
memory: 13308kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 388ms
memory: 14652kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 356ms
memory: 14008kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 335ms
memory: 13928kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 390ms
memory: 14608kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 377ms
memory: 14644kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 301ms
memory: 13244kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 351ms
memory: 13300kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 385ms
memory: 14604kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 365ms
memory: 14224kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

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

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 311ms
memory: 12420kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 333ms
memory: 13836kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 375ms
memory: 14136kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 352ms
memory: 14160kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 388ms
memory: 14432kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 353ms
memory: 13428kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 387ms
memory: 14632kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 325ms
memory: 13460kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 380ms
memory: 14544kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 328ms
memory: 13160kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

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

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 383ms
memory: 14540kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 363ms
memory: 14016kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

score: 0
Accepted
time: 391ms
memory: 14600kb

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 340ms
memory: 13440kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 366ms
memory: 14440kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 358ms
memory: 13808kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 396ms
memory: 14552kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 352ms
memory: 13720kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 417ms
memory: 14696kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

score: 0
Accepted
time: 382ms
memory: 14596kb

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

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

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 218ms
memory: 12164kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

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

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 1ms
memory: 3604kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 1ms
memory: 3604kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'