QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#348605#8337. Counter Reset Problemucup-team1191#AC ✓123ms3916kbC++204.5kb2024-03-09 19:53:112024-03-09 19:53:11

Judging History

你现在查看的是最新测评结果

  • [2024-03-09 19:53:11]
  • 评测
  • 测评结果:AC
  • 用时:123ms
  • 内存:3916kb
  • [2024-03-09 19:53:11]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
#define TIME (clock() * 1.0 / CLOCKS_PER_SEC)

const int MOD = 1'000'000'009;

using ull = unsigned long long;
template <int MD>
struct ModInt {
    using M = ModInt;
//    static int MD;
    int v;
    ModInt(ll _v = 0) { set_v(int(_v % MD + MD)); }
    inline M& set_v(int _v) {
        v = (_v < MD) ? _v : _v - MD;
        return *this;
    }
    inline explicit operator bool() const { return v != 0; }
    inline M operator-() const { return M() - *this; }
    inline M operator+(const M& r) const { return M().set_v(v + r.v); }
    inline M operator-(const M& r) const { return M().set_v(v + MD - r.v); }
    inline M operator*(const M& r) const { return M().set_v(int((ull)v * r.v % MD)); }
    inline M operator/(const M& r) const { return *this * r.inv(); }
    inline M& operator+=(const M& r) { return *this = *this + r; }
    inline M& operator-=(const M& r) { return *this = *this - r; }
    inline M& operator*=(const M& r) { return *this = *this * r; }
    inline M& operator/=(const M& r) { return *this = *this / r; }
    inline bool operator==(const M& r) const { return v == r.v; }
    inline bool operator!=(const M& r) const { return v != r.v; }
    inline M inv() const;
    inline friend istream& operator>>(istream& is, M& r) { ll x; is >> x; r = M(x); return is; }
    inline friend ostream& operator<<(ostream& os, const M& r) { return os << r.v; }
};

template<int MD>
ModInt<MD> pow(ModInt<MD> x, ll n) {
//ModInt pow(ModInt x, ll n) {
    ModInt<MD> r = 1;
    //ModInt r = 1;
    while (n) {
        if (n & 1) r *= x;
        x *= x;
        n >>= 1;
    }
    return r;
}

template<int MD>
ModInt<MD> ModInt<MD>::inv() const { return pow(*this, MD - 2); }
//ModInt ModInt::inv() const { return pow(*this, MD - 2); }

// if MD is from input
// this line is necessary, read later as you wish
//int ModInt::MD;

using Mint = ModInt<MOD>;
//using Mint = ModInt;

int n;

Mint dp[2][2][(1 << 9)];

Mint func(const string& s) {
    Mint dig_sum = 0;
    int d0 = s[0] - '0';
    {
        Mint pw = 1;
        for (int i = 0; i < n - 1; i++) {
            pw *= 10;
        }
        dig_sum += pw * (d0 * (d0 - 1) / 2);
    }
    {
        Mint cnt = 0;
        for (int i = 1; i < n; i++) {
            cnt = cnt * 10 + (s[i] - '0');
        }
        dig_sum += (cnt + 1) * d0;
    }

    memset(dp, 0, sizeof(dp));
    dp[0][1][0] = 1;
    for (int pos = 0; pos < n; pos++) {
        memset(dp[(pos + 1) & 1], 0, sizeof(dp[(pos + 1) & 1]));
        int d = s[pos] - '0';
        for (int dcur = 0; dcur < 10; dcur++) {
            for (int tp = 0; tp < 2; tp++) {
                if (tp == 1 && dcur > d) {
                    continue;
                }
                int new_tp = 0;
                if (tp == 1 && dcur == d) {
                    new_tp = 1;
                }
                for (int state = 0; state < (1 << 9); state++) {
                    if (dp[pos & 1][tp][state] == 0) {
                        continue;
                    }
                    int new_state = state;
                    if (dcur > 0) {
                        for (int i = dcur - 1; i >= 0; i--) {
                            if ((state >> i) & 1) {
                                new_state ^= (1 << i);
                                break;
                            }
                        }
                        new_state ^= (1 << (dcur - 1));
                    }
                    dp[(pos + 1) & 1][new_tp][new_state] += dp[pos & 1][tp][state];
                }
            }
        }
    }

    Mint ans = 0;
    for (int tp = 0; tp < 2; tp++) {
        for (int state = 0; state < (1 << 9); state++) {
            ans += dp[n & 1][tp][state] * __builtin_popcount(state) * 10;
        }
    }

    return ans - dig_sum;
}

void solve() {
    cin >> n;
    string l, r;
    cin >> l >> r;
    Mint ans = func(r);
    int p = -1;
    for (int i = n - 1; i >= 0; i--) {
        if (l[i] != '0') {
            p = i;
            break;
        }
    }
    if (p != -1) {
        l[p]--;
        for (int i = p + 1; i < n; i++) {
            l[i] = '9';
        }
        ans -= func(l);
    }
    cout << ans << "\n";
}

int main() {
#ifdef ONPC
    freopen("input", "r", stdin);
#endif
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    int t = 1;
    //cin >> t;
    while (t--) {
        solve();
    }

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3620kb

input:

2
19 23

output:

51

result:

ok 1 number(s): "51"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3588kb

input:

6
100084 518118

output:

9159739

result:

ok 1 number(s): "9159739"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3588kb

input:

12
040139021316 234700825190

output:

771011551

result:

ok 1 number(s): "771011551"

Test #4:

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

input:

1
5 6

output:

9

result:

ok 1 number(s): "9"

Test #5:

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

input:

2
06 72

output:

609

result:

ok 1 number(s): "609"

Test #6:

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

input:

3
418 639

output:

2912

result:

ok 1 number(s): "2912"

Test #7:

score: 0
Accepted
time: 114ms
memory: 3868kb

input:

5000
0517031462295902016787205636287842713710486158285091634061538907131690102542613263904109051429895599547551249682345434244517372300211330243052548402051817254239088411128320032011447373157210750522722463984933692575118884942425236057310901139962840332684448050855646476051878413350560455871387882...

output:

107583434

result:

ok 1 number(s): "107583434"

Test #8:

score: 0
Accepted
time: 120ms
memory: 3604kb

input:

5000
2839631722409885676641854449409094340492285620998199901290315528351589154393629439187822315178094894928108915180727622985054953310653613329475433266861767377091508110388139487587162480394472451041742086595826537286229012805321959193382957731290351060584443229684181235109638118508206073343246746...

output:

675394398

result:

ok 1 number(s): "675394398"

Test #9:

score: 0
Accepted
time: 114ms
memory: 3672kb

input:

5000
0121086815228520611727091239718315691985426539178955693257347642954702438161323478758508490896602335048895013843711247876462745921412007803120100676220049634783076688779134708737789972863426435630047856085762842025741483042162463573248808646044510524282002015852558702184741741663627502716091539...

output:

578074633

result:

ok 1 number(s): "578074633"

Test #10:

score: 0
Accepted
time: 114ms
memory: 3556kb

input:

5000
4009315923866078525437170431271052539467314353326632440452295409898108927334934001515186676883568587509019024813648111170281871732854866326020722523420074725860024843129825137935119924032162976610499681775742229100481059217175250566980703955103400572138763397380102014106688956905053311588400020...

output:

819323161

result:

ok 1 number(s): "819323161"

Test #11:

score: 0
Accepted
time: 57ms
memory: 3608kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

603082563

result:

ok 1 number(s): "603082563"

Test #12:

score: 0
Accepted
time: 114ms
memory: 3604kb

input:

5000
0000000000633885819366504765094216298281960115914830941309836432136467240201372806102560453534308348622092992247290436462357300397071633074308793521958159789664211849487860185596546426031984309106487856333298764102131430876495841906089018423483214628974388565112953850655936525351241150423557902...

output:

932985830

result:

ok 1 number(s): "932985830"

Test #13:

score: 0
Accepted
time: 119ms
memory: 3556kb

input:

5000
0000000000650071814576152799371217256711135670967833166238159122753757108206475870392502604983652311016561019624401935292136522985447486826468820130245419622704571928465636054879957833368768017917014412258366637135806195430779375102341403097313114652657311053858679927415807978179707936045164697...

output:

272575829

result:

ok 1 number(s): "272575829"

Test #14:

score: 0
Accepted
time: 115ms
memory: 3904kb

input:

5000
0000000000657328094229913746099323221146491408592219130181502886161406660277702363829799840322984053200487383170118175993742015582187072728949691015559424378545103435137870775283813213496909942045139231518000704584636857968337740896332218427286839853901635635205631771246231118877718651555449476...

output:

794251626

result:

ok 1 number(s): "794251626"

Test #15:

score: 0
Accepted
time: 102ms
memory: 3868kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

249826051

result:

ok 1 number(s): "249826051"

Test #16:

score: 0
Accepted
time: 102ms
memory: 3832kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

877173017

result:

ok 1 number(s): "877173017"

Test #17:

score: 0
Accepted
time: 103ms
memory: 3592kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

151485979

result:

ok 1 number(s): "151485979"

Test #18:

score: 0
Accepted
time: 115ms
memory: 3916kb

input:

5000
0159014801946206696258203734914898037641394210297261730549338421564727821732889635369991666567782236274462438080517568850617352494745082823560909208313152733628396054053172422625874823061159544738915513215515633519036492102915591743629184750409504215140627903979481678277623315334259446755105828...

output:

721368738

result:

ok 1 number(s): "721368738"

Test #19:

score: 0
Accepted
time: 118ms
memory: 3612kb

input:

5000
1593096611929089320399735515670839445317319641521540547482273258869976707444342997517499850977225584459583734048472878376916290891193430156881347098295345589049871574695262843296709640049484336491756355117553445542978365925369583583406406734326950373574468989639441003537832172772375589737899071...

output:

938487418

result:

ok 1 number(s): "938487418"

Test #20:

score: 0
Accepted
time: 113ms
memory: 3604kb

input:

5000
1942754790423610065924881906928119381391132828624720869957031069051460107457618922368312221824960963868132141390226651557497490792608519699575355021753486816233381998899114193162905677398416103685843594379329937984889028183716216739319144146889113025558315492727143533792499692123674201374872204...

output:

723492844

result:

ok 1 number(s): "723492844"

Test #21:

score: 0
Accepted
time: 109ms
memory: 3680kb

input:

5000
4062002096644487673020263989686288898129263292181828632789920013217757414472684149988936679623592326524449425327527672207934691459025745820923996124060064518639311904886395009369861933306193619424323629802988069193226260879633708828283152348279888974862721493316338548452978605219663779103239012...

output:

238281829

result:

ok 1 number(s): "238281829"

Test #22:

score: 0
Accepted
time: 113ms
memory: 3608kb

input:

5000
6316405933251299737337372498948127698855361795106851122342961878511099460284477800021689398773624710796531710111934536692264758409336968822534138067510480682327132829787521086380502223411574189720853737018253702539000736954530096098855210480774721647243160303878286632142888618049567476390480811...

output:

438115612

result:

ok 1 number(s): "438115612"

Test #23:

score: 0
Accepted
time: 113ms
memory: 3592kb

input:

5000
4312995075485686062543180629030314065218422802018901116305311949720089333627550862972827086943311274559763137206551659057830635552994046725440486537460417228963181395186626882241528751346159385275967489215558848690842325538312571185487608780842174973345018125820224444022865526286898846914681241...

output:

414266160

result:

ok 1 number(s): "414266160"

Test #24:

score: 0
Accepted
time: 119ms
memory: 3872kb

input:

5000
0258086533802944384387156598490812537122764239806464778492912263251810255189880663895709905649979907456754907239502806015536719760934923039556119131886838490466915234652947639266720467416389230731315037158937990393477937813832384167299260206768010113827843370432177823204051802021354476856735105...

output:

64847676

result:

ok 1 number(s): "64847676"

Test #25:

score: 0
Accepted
time: 109ms
memory: 3832kb

input:

5000
1060908140283541013245888192600010631685552708456164292614908505986842197764899377183662618610397275316175988006855369063828738809624059980852978342235894957407016210764697356445323759567892038560642666695593294909378068235791186540212051512547793737326942353251922108593809646186717444069399194...

output:

46089973

result:

ok 1 number(s): "46089973"

Test #26:

score: 0
Accepted
time: 118ms
memory: 3900kb

input:

5000
4167413337383512335342446844301295061283297832828337586399036812965628809584309280240335156549007875265018403232860390865650403559828858521226576098324688739416592074500021123122165578438715383733724065265859724840752630774162037584065233385787338015652858265386847420952773768786522984341856441...

output:

289963358

result:

ok 1 number(s): "289963358"

Test #27:

score: 0
Accepted
time: 113ms
memory: 3900kb

input:

5000
0016333155368124738088870770938980478519511839121409548927061239607054420424955716374905253395433974120004555646757520979538059659364833035441642423982778149708821441373452828856302141786564332166685062999047362082796733736904461408000518679191248454746816423311171496595881384512371985551985957...

output:

831498184

result:

ok 1 number(s): "831498184"

Test #28:

score: 0
Accepted
time: 113ms
memory: 3556kb

input:

5000
5092536296551794251043181638143747695055047667638655983429584258891712588224325674545229512946356577078967350285969472283180319383912962093190696463627527554628698850690973966211757510848419627816389188773320206947068778989020619318534488026535209398188789706361479060680484488911824233166170381...

output:

232548867

result:

ok 1 number(s): "232548867"

Test #29:

score: 0
Accepted
time: 114ms
memory: 3616kb

input:

5000
4250650491835895211380154911374118880219475610640757916147240362500104880620808530762344123980888292339437259581375290967595195746830677913147601662442399330928582487119875486342332667822985842301686413861142987548286348240942361774457164440066458920375413112071161055538460779044102959044496383...

output:

600488208

result:

ok 1 number(s): "600488208"

Test #30:

score: 0
Accepted
time: 111ms
memory: 3700kb

input:

5000
0000000000689078792067237718947428136594821842520489332698476953096081050443004774491088068653978931122890246667731895978262338006130108971352213349525758787905783267776002539885854055677272999660672296183028350453530189660455899343828445282255728924058584245940525190415132437297972695822279109...

output:

887505503

result:

ok 1 number(s): "887505503"

Test #31:

score: 0
Accepted
time: 110ms
memory: 3828kb

input:

5000
0000000000022121271882232360313107852566602611539514301356520582779830156937109065371076190844344608965131323524013303620896649114825312828542093066291828737963114945513196080146852787896344285823817341460491358653892467153045088134419113464433102015939811049514570760600972457269976090211961884...

output:

805027211

result:

ok 1 number(s): "805027211"

Test #32:

score: 0
Accepted
time: 114ms
memory: 3872kb

input:

5000
0000000000655258143985523409468362333040390212372889201638954055429475496420475344646752673292169310979974004259018721019774943143436225056989315666021154606929955509691052479829612484143399029185137961961904224760687081073181164608976833701710469728964824198019477823573078500411122321352408143...

output:

817305775

result:

ok 1 number(s): "817305775"

Test #33:

score: 0
Accepted
time: 113ms
memory: 3660kb

input:

5000
0000000000977853043576694047225399227210086922493669342733496307897953500774477296874716114502271719675269139177397229134428651178783123755665865371468690966481661122800434360623721854165798451817486468010819158274648686004500174373687929590147693675019891633373560050286228396315148221630242509...

output:

121593917

result:

ok 1 number(s): "121593917"

Test #34:

score: 0
Accepted
time: 123ms
memory: 3700kb

input:

5000
0000000000626847933851084471445813197397273635421637799221686455948052808565622535398102619895781412131685881963406264318131334291574165160956974488702833999982128858907022551925464777356511604362143099588141349054262136650241983023241186850500635027127232298038791110103217925320540465429578079...

output:

859770412

result:

ok 1 number(s): "859770412"

Test #35:

score: 0
Accepted
time: 114ms
memory: 3576kb

input:

5000
0000000000304243401410637355744802808733143685926175829233812528213453479871131108446674596961561046013094838367098551485599110034561978793633844518410906928604462778756766355621615924883101772853369939655287209121141140220603092065096713814992898390786602561069584785944502973388918962251742088...

output:

434661827

result:

ok 1 number(s): "434661827"

Test #36:

score: 0
Accepted
time: 120ms
memory: 3612kb

input:

5000
0000000000610523727147227044245934257508656780055358425742794275244952517850507397695762053339751873109506189007606141604459542156822164518307407582575075315832629466662597041565531419208169767059612454647764252183783064923890418860535482770645486496991346322389178352880274131087767972303098836...

output:

644040569

result:

ok 1 number(s): "644040569"

Test #37:

score: 0
Accepted
time: 117ms
memory: 3704kb

input:

5000
0000000000610091852181247077023000832216456399222387763619927598717508681275035226167283412004673572980957980402717453893826112768338773616062330558592109431953330116618467278798291497747305121371714461244238254762216799625177097143463130298124123226787267816764724839697760759349912767621877855...

output:

83534609

result:

ok 1 number(s): "83534609"

Test #38:

score: 0
Accepted
time: 115ms
memory: 3660kb

input:

5000
0000000000242616738203875233236973861419518431941561736955375287532653293772072421845606880661287146368249482401443956018202758259320445109639150994010196038940287579570474599000817155017574393956188924602724346439261731907670111733479014027966309087906395335929715951402141727143437701610426871...

output:

160784993

result:

ok 1 number(s): "160784993"

Test #39:

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

input:

1
0 0

output:

0

result:

ok 1 number(s): "0"

Test #40:

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

input:

2
00 00

output:

0

result:

ok 1 number(s): "0"

Test #41:

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

input:

3
000 000

output:

0

result:

ok 1 number(s): "0"

Test #42:

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

input:

4
0000 0000

output:

0

result:

ok 1 number(s): "0"

Test #43:

score: 0
Accepted
time: 15ms
memory: 3868kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

0

result:

ok 1 number(s): "0"

Test #44:

score: 0
Accepted
time: 107ms
memory: 3560kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

520894423

result:

ok 1 number(s): "520894423"

Test #45:

score: 0
Accepted
time: 102ms
memory: 3680kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

53974188

result:

ok 1 number(s): "53974188"

Test #46:

score: 0
Accepted
time: 111ms
memory: 3664kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

961014394

result:

ok 1 number(s): "961014394"

Test #47:

score: 0
Accepted
time: 103ms
memory: 3556kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

388131615

result:

ok 1 number(s): "388131615"

Test #48:

score: 0
Accepted
time: 108ms
memory: 3672kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

710918164

result:

ok 1 number(s): "710918164"

Test #49:

score: 0
Accepted
time: 103ms
memory: 3904kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

828554030

result:

ok 1 number(s): "828554030"

Test #50:

score: 0
Accepted
time: 98ms
memory: 3908kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

547595944

result:

ok 1 number(s): "547595944"

Test #51:

score: 0
Accepted
time: 109ms
memory: 3900kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

515152604

result:

ok 1 number(s): "515152604"

Test #52:

score: 0
Accepted
time: 105ms
memory: 3704kb

input:

5000
0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

601070920

result:

ok 1 number(s): "601070920"

Extra Test:

score: 0
Extra Test Passed