QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#673851#7954. Special NumbersAMATSUKAZE#AC ✓43ms38848kbC++204.4kb2024-10-25 11:02:282024-10-25 11:02:28

Judging History

你现在查看的是最新测评结果

  • [2024-10-25 11:02:28]
  • 评测
  • 测评结果:AC
  • 用时:43ms
  • 内存:38848kb
  • [2024-10-25 11:02:28]
  • 提交

answer

#include <bits/stdc++.h>
#define rep(i,s,n) for (int i = (int)(s); i < (int)(n); i++)
#define all(v) begin(v),end(v)
using namespace std;
using ll = long long;
bool chmin(auto &a, auto b) { return a > b ? a = b, 1 : 0; }
bool chmax(auto &a, auto b) { return a < b ? a = b, 1 : 0; }

using bll = __int128_t;
bll input(){
    string s; cin >> s;
    bll x = 0;
    for (auto c : s){
        x = x * 10 + (c - '0');
    }
    return x;
}

string tostr(bll x){
    string s = "";
    while (x > 0){
        s += '0' + (x % 10);
        x /= 10;
    }
    reverse(all(s));
    return s;
}

template<int mod>
struct mm {
    using uint = unsigned int;
    uint x;
    mm (uint _x = 0) : x(_x) {}
    mm &operator+=(mm a){
        x += a.x;
        if (x >= mod) x -= mod;
        return *this;
    }
    mm &operator-=(mm a){
        x += mod - a.x;
        if (x >= mod) x -= mod;
        return *this;
    }
    friend mm operator+(mm a, mm b){
        return a += b;
    }
    friend mm operator-(mm a, mm b){
        return a -= b;
    }
};
using mint = mm<1'000'000'007>;

using ar = array<int,4>;

pair<ar,ll> div2357(ll k){
    ar ret = {};
    ar ds = {2,3,5,7};
    rep(i,0,4){
        while (k % ds[i] == 0){
            ret[i]++;
            k /= ds[i];
        }
    }
    return {ret,k};
}

mint naive(ll k, string s){
    ll r = stoll(s);
    mint ans = 0;
    for (ll x = 1; x <= r; x++){
        string t = to_string(x);
        ll prd = 1;
        for (auto c : t){
            prd *= (c - '0');
        }
        if (prd % k == 0){
            ans += 1;
        }
    }
    return ans;
}

mint calc(ll k, string s){
    if (s.empty()){
        return 0;
    }
    auto [ds, nk] = div2357(k);
    // odd, small, l0, c2, c3, c5, c7
    static mint dp[2][2][2][62][41][21][21] = {};
    memset(dp,0,sizeof(dp));
    dp[0][0][0][0][0][0][0] = 1;
    auto nxt = [&](int i, int j, int a, int b, int c, int d, int sp, int p) -> array<int,6> {
        if (i == 0 && sp < p) return {-1};
        int ni = (i == 1 ? 1 : sp > p ? 1 : 0);
        if (j == 0 && p == 0){
            return {ni,0,0,0,0,0};
        }
        int nj = 1;
        if (a == ds[0]+1){
            return {ni,nj,ds[0]+1,0,0,0};
        }
        if (p == 0){
            a = ds[0]+1;
            b = 0;
            c = 0;
            d = 0;
            return {ni,nj,a,b,c,d};
        }
        if (p == 1){
            // nothing
        }
        else if (p == 2){
            a += 1;
        }
        else if (p == 3){
            b += 1;
        }
        else if (p == 4){
            a += 2;
        }
        else if (p == 5){
            c += 1;
        }
        else if (p == 6){
            a += 1;
            b += 1;
        }
        else if (p == 7){
            d += 1;
        }
        else if (p == 8){
            a += 3;
        }
        else if (p == 9){
            b += 2;
        }
        chmin(a,ds[0]);
        chmin(b,ds[1]);
        chmin(c,ds[2]);
        chmin(d,ds[3]);
        return {ni,nj,a,b,c,d};
    };
    // dp[t] contains ans
    int t = 0, f = 1;
    for (auto cc : s){
        int sp = cc - '0';
        swap(f,t);
        // dp[f] -> dp[t]
        rep(i,0,2) rep(j,0,2) rep(a,0,ds[0]+2) rep(b,0,ds[1]+1) rep(c,0,ds[2]+1) rep(d,0,ds[3]+1){
            dp[t][i][j][a][b][c][d] = 0;
        }
        rep(i,0,2) rep(j,0,2) rep(a,0,ds[0]+2) rep(b,0,ds[1]+1) rep(c,0,ds[2]+1) rep(d,0,ds[3]+1){
            rep(p,0,10){
                auto [ni,nj,na,nb,nc,nd] = nxt(i,j,a,b,c,d,sp,p);
                if (ni == -1) continue;
                dp[t][ni][nj][na][nb][nc][nd] += dp[f][i][j][a][b][c][d];
            }
        }
    }
    mint ans = dp[t][0][1][ds[0]+1][0][0][0] + dp[t][1][1][ds[0]+1][0][0][0];
    if (nk == 1){
        ans += dp[t][0][1][ds[0]][ds[1]][ds[2]][ds[3]];
        ans += dp[t][1][1][ds[0]][ds[1]][ds[2]][ds[3]];
    }
    // cout << k << ' ' << s << endl;
    // cout << ans.x << endl;
    return ans;
}

void solve(){
    ll k; cin >> k;
    bll l = input();
    bll r = input();
    l--;
    string sl = tostr(l);
    string sr = tostr(r);
    mint ans = calc(k,sr) - calc(k,sl);
    cout << ans.x << '\n';
    // mint nans = naive(k,sr) - calc(k,sl);
    // cout << nans.x << '\n';
}

int main(){
    cin.tie(0)->sync_with_stdio(0);
    solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 38660kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 8ms
memory: 38636kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

score: 0
Accepted
time: 6ms
memory: 38624kb

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 10ms
memory: 38568kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 7ms
memory: 38848kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

score: 0
Accepted
time: 8ms
memory: 38624kb

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 7ms
memory: 38556kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 11ms
memory: 38624kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 8ms
memory: 38632kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 27ms
memory: 38836kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 43ms
memory: 38600kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 15ms
memory: 38760kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 27ms
memory: 38612kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 27ms
memory: 38832kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 15ms
memory: 38552kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

score: 0
Accepted
time: 8ms
memory: 38512kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 15ms
memory: 38540kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 27ms
memory: 38556kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 17ms
memory: 38604kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 11ms
memory: 38640kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 15ms
memory: 38560kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 12ms
memory: 38580kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 11ms
memory: 38560kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 11ms
memory: 38628kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 16ms
memory: 38640kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 7ms
memory: 38836kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

score: 0
Accepted
time: 4ms
memory: 38660kb

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 14ms
memory: 38764kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 14ms
memory: 38764kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 33ms
memory: 38556kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 20ms
memory: 38664kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 9ms
memory: 38660kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 26ms
memory: 38768kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 17ms
memory: 38844kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 21ms
memory: 38624kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 23ms
memory: 38604kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 31ms
memory: 38812kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

score: 0
Accepted
time: 13ms
memory: 38804kb

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 25ms
memory: 38640kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 4ms
memory: 38608kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

score: 0
Accepted
time: 7ms
memory: 38664kb

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 13ms
memory: 38624kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 14ms
memory: 38660kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 8ms
memory: 38552kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 12ms
memory: 38624kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 11ms
memory: 38632kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 8ms
memory: 38836kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

score: 0
Accepted
time: 3ms
memory: 38844kb

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

score: 0
Accepted
time: 7ms
memory: 38568kb

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 8ms
memory: 38836kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

score: 0
Accepted
time: 15ms
memory: 38664kb

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 7ms
memory: 38560kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 8ms
memory: 38656kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 4ms
memory: 38576kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'