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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#797201#7954. Special Numbersfeeder1#AC ✓7ms5404kbC++203.6kb2024-12-02 19:05:112024-12-02 19:05:11

Judging History

你现在查看的是最新测评结果

  • [2024-12-02 19:05:11]
  • 评测
  • 测评结果:AC
  • 用时:7ms
  • 内存:5404kb
  • [2024-12-02 19:05:11]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using tii = tuple<int, int, int>;
using tll = tuple<ll, ll, ll>;
using ld = long double;
using vi = vector<int>;
using vl = vector<ll>;

#define mp make_pair
#define pb push_back
#define eb emplace_back
#define nl "\n"
#define all(v) v.begin(),v.end()
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define sz(x) (int)(x).size()

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()); 
constexpr int maxn = 1e6 + 5;
constexpr ll mod = 1e9 + 7;
constexpr int C = 21;

ll n, m, q, k, t, a, b, c;
ll pw[C];

unordered_map<ull, ull> cnt2[C]; 
ull cnt[C];

ull compute2(ull val, int idx) {
    auto& m = cnt2[idx];
    auto it = m.find(val);
    if (it != m.end()) {
        return it->second;
    }

    ull ans = 0;
    ans += pw[idx];
    for (ull i = 1; i <= 9; i++) {
        ull g = __gcd(val, i);
        ull rem = val / g;

        if (idx > 0) 
            ans += compute2(rem, idx - 1);
        else {
            if (rem == 1) ans++;
        }
    }

    ans %= mod;
    cnt2[idx][val] = ans;
    return ans;
}

ull compute(ull val, int idx) {
    ull ans = 0;
    for (ull i = 1; i <= 9; i++) {
        ull g = __gcd(val, i);
        if (idx > 0) {
            ans += compute2(val / g, idx - 1);
            ans %= mod;
        }
        else {
            if (val / g == 1) ans++;
        }
    }

    if (idx > 0) ans += cnt[idx - 1];
    else ans++;

    return ans % mod;
}

void precomp() {
    pw[0] = 1;
    for (int i = 1; i < C; i++) {
        pw[i] = pw[i - 1] * 10 % mod;
    }
    for (int i = 0; i < C; i++) {
        cnt[i] = compute(k, i);
    }
}

ull string_to_val(const string& s, int idx) {
    ull ans = 0;
    for (int i = idx; i >= 0; i--) {
        auto it = s[i];
        ans *= 10;
        ans += it - '0';
        ans %= mod;
    }

    ans = (ans + 1) % mod;
    return ans;
}

ull solve(const string& s, int idx, ull k) {
    if (s[idx] == '0') {
        return string_to_val(s, idx);
    }

    ull lim = s[idx] - '0';
    ull ans = 0;
    if (idx > 0) { 
        if (idx == s.size() - 1) {
            ans = cnt[idx - 1];
        } else {
            ans = pw[idx];
        }
    }
    else ans = 1;

    for (ull i = 1; i < lim; i++) {
        ull g = __gcd(k, i);
        ull rem = k / g;
        
        if (idx > 0) {
            ans += compute2(rem, idx - 1);
        } else {
            if (rem == 1) ans++;
        }

        ans %= mod;
    }

    {
        ull g = __gcd(lim, k);
        ull rem = k / g;

        if (idx > 0) {
            ans += solve(s, idx - 1, rem);
        } else {
            if (rem == 1) ans++;
        }
    }

    return ans % mod;
}

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);

    string l, r;
    cin >> k;
    cin >> l >> r;

    precomp();

    // for (int i = 0; i < 5; i++) {
    //     cout << cnt[i] << nl;
    // }
    // for (int i = 0; i < 5; i++) {
    //     cout << compute2(k, i) << nl;
    // }

    __uint128_t L = 0;
    for (auto it : l) {
        L *= 10;
        L += it - '0';
    }
    L--;
    l = "";
    while (L != 0) {
        char c = L % 10 + '0';
        l += c;
        L /= 10;
    }

    if (l == "") l = "0";

    reverse(all(r));

    // cout << l << " " << r << nl;
    
    ull a = solve(r, r.size() - 1, k);
    ull b = solve(l, l.size() - 1, k);
    // cout << a << " " << b << nl;

    ull ans = (mod + a - b) % mod;
    
    cout << ans;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3724kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3652kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3616kb

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

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

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3672kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3708kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

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

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 5ms
memory: 4812kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 4ms
memory: 5404kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 3ms
memory: 4252kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 2ms
memory: 4492kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 4ms
memory: 4608kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 3ms
memory: 4412kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 2ms
memory: 4284kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 0ms
memory: 4960kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 2ms
memory: 4184kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 2ms
memory: 4116kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 2ms
memory: 3964kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 1ms
memory: 3916kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 1ms
memory: 3956kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 2ms
memory: 4244kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 2ms
memory: 3988kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

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

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 3ms
memory: 4292kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 7ms
memory: 5288kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 3ms
memory: 4348kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 1ms
memory: 3736kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 6ms
memory: 5152kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 2ms
memory: 4248kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 4ms
memory: 4488kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 0ms
memory: 4336kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 4ms
memory: 4592kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

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

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 4ms
memory: 4584kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

score: 0
Accepted
time: 1ms
memory: 3712kb

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

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

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 1ms
memory: 3620kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

score: 0
Accepted
time: 1ms
memory: 3608kb

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

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

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 1ms
memory: 3784kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

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

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 1ms
memory: 3820kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

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

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'