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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#647589#7954. Special Numbersucup-team5234#AC ✓6ms3944kbC++236.4kb2024-10-17 14:49:152024-10-17 14:49:17

Judging History

你现在查看的是最新测评结果

  • [2024-10-17 14:49:17]
  • 评测
  • 测评结果:AC
  • 用时:6ms
  • 内存:3944kb
  • [2024-10-17 14:49:15]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define all(v) (v).begin(),(v).end()
#define pb(a) push_back(a)
#define rep(i, n) for(int i=0;i<n;i++)
#define foa(e, v) for(auto& e : v)
using ll = long long;
const ll MOD7 = 1000000007, MOD998 = 998244353, INF = (1LL << 60);
#define dout(a) cout<<fixed<<setprecision(10)<<a<<endl;

template<int MOD> struct Modint {
    long long val;
    constexpr Modint(long long v = 0) noexcept : val(v % MOD) { if (val < 0) val += MOD; }
    constexpr int mod() const { return MOD; }
    constexpr long long value() const { return val; }
    constexpr Modint operator - () const noexcept { return val ? MOD - val : 0; }
    constexpr Modint operator + (const Modint& r) const noexcept { return Modint(*this) += r; }
    constexpr Modint operator - (const Modint& r) const noexcept { return Modint(*this) -= r; }
    constexpr Modint operator * (const Modint& r) const noexcept { return Modint(*this) *= r; }
    constexpr Modint operator / (const Modint& r) const noexcept { return Modint(*this) /= r; }
    constexpr Modint& operator += (const Modint& r) noexcept {
        val += r.val;
        if (val >= MOD) val -= MOD;
        return *this;
    }
    constexpr Modint& operator -= (const Modint& r) noexcept {
        val -= r.val;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr Modint& operator *= (const Modint& r) noexcept {
        val = val * r.val % MOD;
        return *this;
    }
    constexpr Modint& operator /= (const Modint& r) noexcept {
        long long a = r.val, b = MOD, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b, swap(a, b);
            u -= t * v, swap(u, v);
        }
        val = val * u % MOD;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr bool operator == (const Modint& r) const noexcept { return this->val == r.val; }
    constexpr bool operator != (const Modint& r) const noexcept { return this->val != r.val; }
    friend constexpr istream& operator >> (istream& is, Modint<MOD>& x) noexcept {
        is >> x.val;
        x.val %= MOD;
        if (x.val < 0) x.val += MOD;
        return is;
    }
    friend constexpr ostream& operator << (ostream& os, const Modint<MOD>& x) noexcept {
        return os << x.val;
    }
    constexpr Modint<MOD> pow(long long n) noexcept {
        if (n == 0) return 1;
        if (n < 0) return this->pow(-n).inv();
        Modint<MOD> ret = pow(n >> 1);
        ret *= ret;
        if (n & 1) ret *= *this;
        return ret;
    }
    constexpr Modint<MOD> inv() const noexcept {
        long long a = this->val, b = MOD, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b, swap(a, b);
            u -= t * v, swap(u, v);
        }
        return Modint<MOD>(u);
    }
};

const int MOD = MOD7;
using mint = Modint<MOD>;



mint solve(string s, ll k) {
    vector<vector<ll>> cc(10, vector(10, 0LL));
    for(ll i = 0; i < 10; i ++) {
        if(i == 0) {
            rep(j, 10) cc[i][j] = 1000;
        } else {
            ll num = i;
            for(ll j = 2; j < 10; j ++) {
                while(num % j == 0) {
                    num /= j;
                    cc[i][j] ++;
                }
            }
        }
    } 
    vector<ll> c(10, 0);
    for(ll i = 2; i < 10; i ++) {
        while(k % i == 0) {
            k /= i;
            c[i] ++;
        }
    }
    if(k > 1) {
        mint ans = 0;
        int n = s.size();
        for(int i = 0; i < n; i ++) {
            int num = s[i] - '0';
            for(int j = 1; j < num; j ++) {
                ans += mint(10).pow(n - i - 1) - mint(9).pow(n - i - 1);
            }
            if(num == 0) {
                ans += mint(1);
                for(int j = i + 1; j < n; j ++) {
                    ans += mint(10).pow(n - j - 1) * mint(s[j] - '0');
                }
                break;
            }
            if(i) {
                ans += mint(10).pow(n - i - 1);
            }
        }
        for(int d = 2; d < n; d ++) {
            ans += mint(9) * (mint(10).pow(d - 1) - mint(9).pow(d - 1));
        }
        return ans;
        
    }
    vector dp(c[2] + 1, vector(c[3] + 1, vector(c[5] + 1, vector(c[7] + 1, mint(0)))));
    mint ans = 0;
    ll n = s.size();
    vector<ll> now(10, 0);
    rep(i, n) {
        vector nx(c[2] + 1, vector(c[3] + 1, vector(c[5] + 1, vector(c[7] + 1, mint(0)))));
        rep(c2, c[2] + 1) {
            rep(c3, c[3] + 1) {
                rep(c5, c[5] + 1) {
                    rep(c7, c[7] + 1) {
                        for(int j = 0; j < 10; j ++) {
                            nx[min(c[2], c2 + cc[j][2])][min(c[3], c3 + cc[j][3])][min(c[5], c5 + cc[j][5])][min(c[7], c7 + cc[j][7])] 
                            += dp[c2][c3][c5][c7];
                        }
                    }
                }
            }
        }
        int num = s[i] - '0';
        vector<ll> nnx(10, 0);
        for(int j = 0; j < num; j ++) {
            if(i == 0 and j == 0) continue;
            nx[min(c[2], now[2] + cc[j][2])][min(c[3], now[3] + cc[j][3])][min(c[5], now[5] + cc[j][5])][min(c[7], now[7] + cc[j][7])] += mint(1);
        }
        if(i) {
            for(ll j = 1; j < 10; j ++) {
                nx[min(c[2], cc[j][2])][min(c[3], cc[j][3])][min(c[5], cc[j][5])][min(c[7], cc[j][7])] += mint(1);
            }
        }
        {
            for(ll x = 2; x < 10; x ++) {
                nnx[x] = now[x] + cc[num][x];
            }
        }
        swap(nnx, now);
        swap(nx, dp);
    }
    bool ng = 0;
    for(ll i = 2; i < 10; i ++) {
        if(now[i] < c[i]) ng = 1;
    }
    if(!ng) ans += mint(1);
    ans += dp[c[2]][c[3]][c[5]][c[7]];
    return ans;
}

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll k;
    cin >> k;
    string l, r;
    cin >> l >> r;
    if(l == "1") {
        cout << solve(r, k) << endl;
    } else {
        reverse(all(l));
        int n = l.size();
        rep(i, n) {
            if(l[i] > '0') {
                int num = l[i] - '0';
                l[i] = char('0' + (num - 1));
                break;
            } else {
                l[i] = '9';
            }
        }
        if(l.back() == '0') l.pop_back();
        reverse(all(l));
        cout << solve(r, k) - solve(l, k) << endl;
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3688kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

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

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

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

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

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

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

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

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

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

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3656kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 3ms
memory: 3876kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 3ms
memory: 3752kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 2ms
memory: 3664kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 3ms
memory: 3636kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 3ms
memory: 3724kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 3ms
memory: 3732kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

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

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3632kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 4ms
memory: 3792kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

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

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 2ms
memory: 3652kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 2ms
memory: 3832kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

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

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

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

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

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

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

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

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 2ms
memory: 3928kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 6ms
memory: 3736kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 4ms
memory: 3832kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 1ms
memory: 3896kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 4ms
memory: 3944kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 2ms
memory: 3912kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 3ms
memory: 3716kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 3ms
memory: 3656kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 3ms
memory: 3668kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

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

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 3ms
memory: 3668kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

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

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

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

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

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

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

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

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 1ms
memory: 3628kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

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

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

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

input:

9 800 43021

output:

30930

result:

ok single line: '30930'