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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
#377502#7996. 报数 IVplutosAC ✓991ms39196kbC++175.0kb2024-04-05 14:30:462024-04-05 14:30:46

Judging History

你现在查看的是最新测评结果

  • [2024-04-05 14:30:46]
  • 评测
  • 测评结果:AC
  • 用时:991ms
  • 内存:39196kb
  • [2024-04-05 14:30:46]
  • 提交

answer

#include <bits/stdc++.h>
using ll=long long;
void Yes() {
    std::cout << "YES" << "\n";
    return;
}

void No() {
    std::cout << "NO" << "\n";
    return;
}

template<typename T>
void out(T x) { std::cout << x << "\n"; }

using namespace std;
//using int = long long;
using PII = pair<int, int>;
template<class T>
constexpr T power(T a, ll b) {
    T res = 1;
    for (; b; b /= 2, a *= a) {
        if (b % 2) {
            res *= a;
        }
    }
    return res;
}
 
template<int P>
struct MInt {
    int x;
    constexpr MInt() : x{} {}
    constexpr MInt(ll x) : x{norm(x % P)} {}
    
    constexpr int norm(int x) const {
        if (x < 0) {
            x += P;
        }
        if (x >= P) {
            x -= P;
        }
        return x;
    }
    constexpr int val() const {
        return x;
    }
    explicit constexpr operator int() const {
        return x;
    }
    constexpr MInt operator-() const {
        MInt res;
        res.x = norm(P - x);
        return res;
    }
    constexpr MInt inv() const {
        assert(x != 0);
        return power(*this, P - 2);
    }
    constexpr MInt &operator*=(MInt rhs) {
        x = 1LL * x * rhs.x % P;
        return *this;
    }
    constexpr MInt &operator+=(MInt rhs) {
        x = norm(x + rhs.x);
        return *this;
    }
    constexpr MInt &operator-=(MInt rhs) {
        x = norm(x - rhs.x);
        return *this;
    }
    constexpr MInt &operator/=(MInt rhs) {
        return *this *= rhs.inv();
    }
    friend constexpr MInt operator*(MInt lhs, MInt rhs) {
        MInt res = lhs;
        res *= rhs;
        return res;
    }
    friend constexpr MInt operator+(MInt lhs, MInt rhs) {
        MInt res = lhs;
        res += rhs;
        return res;
    }
    friend constexpr MInt operator-(MInt lhs, MInt rhs) {
        MInt res = lhs;
        res -= rhs;
        return res;
    }
    friend constexpr MInt operator/(MInt lhs, MInt rhs) {
        MInt res = lhs;
        res /= rhs;
        return res;
    }
    friend constexpr std::istream &operator>>(std::istream &is, MInt &a) {
        ll v;
        is >> v;
        a = MInt(v);
        return is;
    }
    friend constexpr std::ostream &operator<<(std::ostream &os, const MInt &a) {
        return os << a.val();
    }
    friend constexpr bool operator==(MInt lhs, MInt rhs) {
        return lhs.val() == rhs.val();
    }
    friend constexpr bool operator!=(MInt lhs, MInt rhs) {
        return lhs.val() != rhs.val();
    }
};
 
template<int V, int P>
constexpr MInt<P> CInv = MInt<P>(V).inv();
 
// constexpr int P = 998244353;
constexpr int P = 1e9+7;
using Z = MInt<P>;
 
struct Comb {
    int n;
    std::vector<Z> _fac;
    std::vector<Z> _invfac;
    std::vector<Z> _inv;
    
    Comb() : n{0}, _fac{1}, _invfac{1}, _inv{0} {}
    Comb(int n) : Comb() {
        init(n);
    }
    
    void init(int m) {
        if (m <= n) return;
        _fac.resize(m + 1);
        _invfac.resize(m + 1);
        _inv.resize(m + 1);
        
        for (int i = n + 1; i <= m; i++) {
            _fac[i] = _fac[i - 1] * i;
        }
        _invfac[m] = _fac[m].inv();
        for (int i = m; i > n; i--) {
            _invfac[i - 1] = _invfac[i] * i;
            _inv[i] = _invfac[i] * _fac[i - 1];
        }
        n = m;
    }
    
    Z fac(int m) {
        if (m > n) init(2 * m);
        return _fac[m];
    }
    Z invfac(int m) {
        if (m > n) init(2 * m);
        return _invfac[m];
    }
    Z inv(int m) {
        if (m > n) init(2 * m);
        return _inv[m];
    }
    Z binom(int n, int m) {
        if (n < m || m < 0) return 0;
        return fac(n) * invfac(m) * invfac(n - m);
    }
} comb;
const int N = 2e5 + 10;
int k, m;
string n;
int a[1005];
Z dp[1004][9004];
int cc(int x) {
    int tmp = 0;
    while (x) {
        tmp += x % 10;
        x /= 10;
    }
    return tmp;
}

Z dfs(int pos, int sum, int lim, int lead0) {
    if (pos == 0) {
        for (int i = 1; i <= k - 1; i++) {
            sum = cc(sum);
        }
        return sum == m;
    }
    if (!lim && !lead0 && dp[pos][sum] != -1) {
        return dp[pos][sum];
    }
    int up = lim ? a[pos] : 9;
    Z tmp = 0;
    for (int i = 0; i <= up; i++) {
        tmp += dfs(pos - 1, sum + i, lim && (i == up), lead0 && (i == 0));
    }
    if (!lim && !lead0) {
        return dp[pos][sum] = tmp;
    }
    return tmp;
}

Z cal(string s) {
    int len = 0;
    reverse(s.begin(), s.end());
    for (auto p: s) {
        a[++len] = p - '0';
    }
    return dfs(len, 0, 1, 1);
}

void Solve() {
    for (int i = 0; i <= 1002; i++)
        for (int j = 0; j <= 9001; j++)
            dp[i][j] = -1;
    cin >> n >> k >> m;
    k = min(k, 5);
    cout << cal(n) << "\n";
}

signed main() {
    std::ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int t = 1;
    cin >> t;
    while (t--)
        Solve();
}

详细

Test #1:

score: 100
Accepted
time: 8ms
memory: 38924kb

input:

2
114 1 5
514 2 10

output:

8
10

result:

ok 2 lines

Test #2:

score: 0
Accepted
time: 16ms
memory: 38844kb

input:

5
114 1 5
514 2 10
114514 3 7
1919810 2 13
1145141919810114514191981011451419198101145141919810114514191981011451419198101145141919810114514191981011451419198101145141919810 1 79

output:

8
10
12724
504
481046284

result:

ok 5 lines

Test #3:

score: 0
Accepted
time: 959ms
memory: 38948kb

input:

5
3134666912140933323880320519044791121794814671711104987304374190280064994554822259889216567113228716903875026053927191961850586115167336109747673868148288830282192461669674173201533887392623483710043038941036243583011049049915834937139438028987629569618561762595613799223807979488245056374812076511...

output:

0
613343513
0
500149787
932367667

result:

ok 5 lines

Test #4:

score: 0
Accepted
time: 957ms
memory: 39132kb

input:

5
1139519997005658838804233882542131329603951012645222504700958241682545257324091070752720569220022637054777343187779232016568942045167801853025395316038491270541841827939668031807503056209394655628349207403327386083909984082879989255237547274110143051980886947606735206241362546384481120301780245959...

output:

0
0
983106233
842410978
351127737

result:

ok 5 lines

Test #5:

score: 0
Accepted
time: 962ms
memory: 38860kb

input:

5
8638076091316635855641492966551052879887835736093039980247820372626975300011595185556660107638347885877620156412525017113706895612406460047827904025826640853053762221239009476530804397983925491363476392003741370633988524528072186299564325622601218035310613510134479162974878452692502169127286160440...

output:

0
151494485
491996396
951216080
735591005

result:

ok 5 lines

Test #6:

score: 0
Accepted
time: 959ms
memory: 39196kb

input:

5
4594403190887655851098979323885347301970260472182981436563110607463337770897498592230279433635011809482497666151819612860549852933087582131069399973150048275594755688227873941703801791577493672811179138154635173296855021815570777969295164438906410283251071005981539590431740858876880832337309525533...

output:

452162993
993032288
529250142
0
0

result:

ok 5 lines

Test #7:

score: 0
Accepted
time: 983ms
memory: 38896kb

input:

5
7106329661074460076851813089444392472728206874451143771638786962963099120130351553150316525985245033972323999641553983578568333846746709032264525531367915930983812069660457027974526824268427908058438462283103774963889147187903776098321357665707620452891363086885353145154955480116362167820560099473...

output:

0
42143665
0
0
266635325

result:

ok 5 lines

Test #8:

score: 0
Accepted
time: 955ms
memory: 39128kb

input:

5
3197096843267069616758413776891049764649182364659681310636123435063129351340319661216252795154685419993835505771367978692486745621757064307866143997529010856187698866761085397967488612326286182291301655780420802213700700872824442868225191222911023750488609973480926167606063152176688092948837104972...

output:

447917122
738150576
134709012
571675718
0

result:

ok 5 lines

Test #9:

score: 0
Accepted
time: 960ms
memory: 38980kb

input:

5
7612942550467855237767978070830743429305395120370014044416141696259440200835613011108477499855450341979327882148431400498007877975643997499046007388707405687392636406520850657394581417406913024784851871291661719356877660941151602720564069428677800545614776632869404791295787921432277016643912651129...

output:

0
264129072
541216127
357954287
0

result:

ok 5 lines

Test #10:

score: 0
Accepted
time: 979ms
memory: 38956kb

input:

5
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

0
0
0
0
0

result:

ok 5 lines

Test #11:

score: 0
Accepted
time: 991ms
memory: 39128kb

input:

5
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

910755804
259808709
937821856
357970005
357970004

result:

ok 5 lines

Test #12:

score: 0
Accepted
time: 979ms
memory: 39128kb

input:

5
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

0
0
0
0
0

result:

ok 5 lines

Test #13:

score: 0
Accepted
time: 961ms
memory: 38960kb

input:

5
5493600942860040477621631776833866796633825984175588516360787148451695869301784861251377693592220895430016092915864584070561727072786074401876239679966435830840108325415158767012889770532442098922126012279790947926699687673153716303479935588263453954268774120993175103389470374955885050132475090943...

output:

0
300754613
527108222
803186040
892721871

result:

ok 5 lines

Test #14:

score: 0
Accepted
time: 979ms
memory: 38948kb

input:

5
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

320215386
716889023
567624008
357970005
357970006

result:

ok 5 lines

Test #15:

score: 0
Accepted
time: 987ms
memory: 39136kb

input:

5
9812761167325920856130376846862436937947447230654673184010669691739766031552475237221268849030438467080297886603870858917934654394088222131015941324484064243169674411393827605062172844413306867153409653032875875932730337155928621241642891239404177544951325020506663647342309917196598863243062161544...

output:

0
469928597
497418961
0
391423761

result:

ok 5 lines

Test #16:

score: 0
Accepted
time: 955ms
memory: 38900kb

input:

5
9013501952727330363984611655757069529140061668352243348131242141715906906114807898855698384965618856928927417081394644166161162830825179502161401400642096135223979387761058683717466953382929504725324258978052930668420706866257850069631732579721803675116406468720025921542594305209295461027074284529...

output:

385295755
0
826010110
468568966
0

result:

ok 5 lines

Test #17:

score: 0
Accepted
time: 966ms
memory: 38956kb

input:

5
8299276307146554536050575918961724216373725603114732403143797725790612708959386530057274467495195402828666463169527607000394687018773329311746262289704318815996536046048237937697238691975566621555830914989783566285006290394230091450543627201211538144590398957372070315341068147825604925011592907516...

output:

0
510867977
0
343376120
214886107

result:

ok 5 lines

Test #18:

score: 0
Accepted
time: 959ms
memory: 39004kb

input:

5
5978386495534656451410085599244329473463314859713321863671010880820574367293215984254435511977274737538376669406905970846704986107233076928078383576465358933281714235428695844731759396130287355362520342786149980212289046796827813545285558877894772706667916112882424152831253823242761178245591040551...

output:

200381997
248732590
659988610
728803841
281731921

result:

ok 5 lines

Test #19:

score: 0
Accepted
time: 987ms
memory: 39192kb

input:

5
3653745784886652871154357862309923857817567252560725002381570519161248252147392315049190794174402649782040388482129025970204654043850249370372033244471538178164319261755776547097203201498608147530621634820597155316537832780268365695458704201328436275425247055333335893078213722495376788491166394840...

output:

0
827622189
909406252
224192882
472231991

result:

ok 5 lines

Test #20:

score: 0
Accepted
time: 957ms
memory: 38912kb

input:

5
8033033272391208112504025738196814953295344818136472894597554051040020955286362518341894063333412258812817219386808976514037940329057156352396807896773931916676875163079204283714827821854630201268421360605246824369120510639882686009186217462096143084170888173631995492474470043432451899005431488434...

output:

210535726
822079653
985955681
540372548
893241037

result:

ok 5 lines

Test #21:

score: 0
Accepted
time: 964ms
memory: 38860kb

input:

5
5567143473825105413062640204906776053975645715210961093621242820515284746059383788299405075430487954445602098969989027355660374546878999126847721403752212660945084700687121976823655410921184811436776882931203119629438066770465897899783553110960619700314302907304525788754873835497787674395031347966...

output:

0
0
358266018
0
50998365

result:

ok 5 lines