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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#346279#7954. Special NumbersjuancsWA 113ms7572kbC++204.1kb2024-03-08 08:51:362024-03-08 08:51:37

Judging History

你现在查看的是最新测评结果

  • [2024-03-08 08:51:37]
  • 评测
  • 测评结果:WA
  • 用时:113ms
  • 内存:7572kb
  • [2024-03-08 08:51:36]
  • 提交

answer

#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

#define el '\n'
#define pb push_back
#define forn(i, n) for(int i = 0; i < (int)n; ++i)
#define for1(i, n) for(int i = 1; i <= (int)n; ++i)
#define fore(i,l,r ) for(int i = l; i<= r; ++i)
#define ford(i, n) for(int i = (int)n - 1; i >= 0; --i)
#define sz(a) (int) a.size()
#define fi first
#define se second
#define d(x) cerr << #x << ' ' << x << el
#define all(x) x.begin(), x.end()
using namespace std;
using namespace __gnu_pbds;
typedef pair<int, int> ii;
typedef long long ll;
typedef vector<int> vi;
typedef __int128_t i128;
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
typedef array<ll, 7> a7;

const int mod = 1e9 + 7;

struct mint{
    ll x;
    mint(): x(0){}
    mint(int x): x(x){}
    mint operator+(mint b){
        int ans = x + b.x;
        if(ans >= mod)ans -= mod;
        return mint(ans);
    }
    mint operator-(mint b){
        int ans = x - b.x;
        if(ans < 0)ans += mod;
        return mint(ans);
    }
    mint operator*(mint b){
        return 1LL*x*b.x%mod;
    }
};

ll cnts[4];
ll trans[10][4];
map<a7, mint> dp;
string l, r, cr;

mint go(a7 st){
    if(st[0] == sz(cr)){
        if(st[2] == 1)return 0; 
        forn(i, 4){
            if(st[i + 3] != cnts[i])return 0;
        }
        return 1;
    }
    if(dp.count(st))return dp[st];
    mint& ans = dp[st];
    ans = 0;
    ll e = !st[1] ? 9 : cr[st[0]] - '0';
    if(st[2]){
        a7 cur = st;
        ++cur[0];
        cur[1] = false;
        ans = ans + go(cur);
    }
    forn(i, e + 1){
        if(i == 0 && st[2]){
            continue;
        }
        a7 cur = st;
        ++cur[0];
        cur[1] = st[1] && i == e;
        cur[2] = false;
        forn(j, 4){
            cur[j + 3] += trans[i][j];
            cur[j + 3] = min(cur[j + 3], cnts[j]);
        }
        ans = ans + go(cur);
    }
    return ans;
}

mint binpow(mint b, ll e){
    mint ans = 1;
    for(; e; b = b * b, e /= 2){
        if(e&1)ans = ans * b;
    }
    return ans;
}

mint inv(mint x){
    return binpow(x, mod - 2);
}

mint cnt(){
    mint ans = 0;
    mint iten = inv(10);
    mint inine = inv(9);
    forn(i, sz(cr)){
        mint pt = binpow(10, sz(cr) - i - 1);
        mint pn = binpow(9, sz(cr) - i - 1);
        if(i != 0){
            ans = ans + (mint(9)*(pt - pn));
            pt = pt * iten;
            pn = pn * inine;
            continue;
        }
        fore(j, i, sz(cr) - 1){
            if(cr[j] == '0'){
                if(cr[i] == '0')break;
                mint num = 0;
                fore(k, j + 1, sz(cr) - 1){
                    num = num + (pt*mint(cr[k] - '0'));
                    pt = pt * iten;
                }
                ans = ans + num + 1;
                break;
            }
            mint dj = cr[j] - '1';
            ans = ans + (dj*(pt - pn));
            pt = pt * iten;
            pn = pn * inine;
        }
    }
    return ans;
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
    ll k;
    cin >> k >> l >> r;
    vector<ll> primes = {2, 3, 5, 7};
    ll tk = k;
    forn(i, 4){
        ll& p = primes[i];
        while(tk % p == 0){
            ++cnts[i];
            tk /=p;
        }
    }
    if(tk != 1){
        cout << 0 << el;
        return 0;
    }
    forn(i, 4){
        trans[0][i] = cnts[i];
    }
    for1(i, 9){
        int ti = i;
        forn(j, 4){
            ll& p = primes[j];
            while(ti % p == 0){
                trans[i][j]++;
                ti /= p;
            }
        }
    }
    cr = r;
    a7 st = {0, 1, 1, 0, 0, 0, 0};
    mint rans = go(st);
    // mint rz = cnt();
    dp.clear();
    cr = l;
    mint lans = go(st);
    // mint lz = cnt();
    ll cl = 1;
    ford(i, sz(l)){
        char& c  = l[i];
        cl *= (c - '0');
    }
    // d((rans - lans).x);
    // d((rz - (lz - mint(cl % k == 0))).x);
    mint ans = rans - ((lans) - mint(cl % k == 0));
    cout << ans.x << el;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3600kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

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

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

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

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3760kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

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

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3860kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 4ms
memory: 3668kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 2ms
memory: 3796kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 71ms
memory: 6332kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 113ms
memory: 7572kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 39ms
memory: 4980kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 49ms
memory: 5396kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 55ms
memory: 5908kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 30ms
memory: 4884kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 21ms
memory: 4480kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 73ms
memory: 6188kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 29ms
memory: 4592kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 28ms
memory: 4876kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 16ms
memory: 4448kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 12ms
memory: 4156kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 4ms
memory: 3840kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 2ms
memory: 3732kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 19ms
memory: 4344kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 18ms
memory: 4384kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

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

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 4ms
memory: 3780kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 36ms
memory: 4936kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 93ms
memory: 7120kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 28ms
memory: 5140kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 7ms
memory: 3872kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 90ms
memory: 7212kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 24ms
memory: 4596kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 52ms
memory: 5524kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 42ms
memory: 5296kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 60ms
memory: 5860kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

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

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 60ms
memory: 5820kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: -100
Wrong Answer
time: 0ms
memory: 3488kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

0

result:

wrong answer 1st lines differ - expected: '922087167', found: '0'