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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#640788 | #7996. 报数 IV | ucup-team3519# | AC ✓ | 122ms | 4028kb | C++17 | 3.5kb | 2024-10-14 16:02:40 | 2024-10-14 16:02:40 |
Judging History
answer
#include <bits/stdc++.h>
template <int m>
class ModInt {
int raw;
using mint = ModInt;
using i64 = int64_t;
public:
ModInt() : raw(0) {}
ModInt(const auto &v) {
raw = v % m;
if (raw < 0) {
raw += m;
}
}
int operator()() const {
return raw;
}
mint &operator+=(const mint &rhs) {
raw += rhs.raw;
if (raw >= m) {
raw -= m;
}
return *this;
}
mint &operator-=(const mint &rhs) {
raw -= rhs.raw;
if (raw < 0) {
raw += m;
}
return *this;
}
mint &operator*=(const mint &rhs) {
raw = (i64)raw * rhs.raw % m;
return *this;
}
mint &operator/=(const mint &rhs) {
return *this *= qpow(rhs, m - 2);
}
friend mint operator+(const mint &lhs, const mint &rhs) {
return mint{lhs} += rhs;
}
friend mint operator-(const mint &lhs, const mint &rhs) {
return mint{lhs} -= rhs;
}
friend mint operator*(const mint &lhs, const mint &rhs) {
return mint{lhs} *= rhs;
}
friend mint operator/(const mint &lhs, const mint &rhs) {
return mint{lhs} /= rhs;
}
static mint qpow(mint a, i64 b) {
mint res = 1;
while (b) {
if (b & 1) {
res *= a;
}
a *= a, b >>= 1;
}
return res;
}
};
using mint = ModInt<static_cast<int>(1e9 + 7)>;
int mod(std::string s) {
int res = 0;
for (char c : s) {
res += (c - '0');
}
return res % 9;
}
mint val(std::string s) {
mint res = 0;
for (char c : s) {
res = res * 10 + (c - '0');
}
return res;
}
void solve() {
std::string s;
std::cin >> s;
int k, m;
std::cin >> k >> m;
if (k >= 10) {
if (m > 9) {
std::cout << "0\n";
} else {
mint ans = val(s);
int p = mod(s);
std::cout << ((ans - p) / 9 + (p >= m))() << '\n';
}
return;
}
int sum = 0;
std::vector<mint> g;
for (char c : s) {
int d = c - '0';
std::vector<mint> ng(std::max<int>(sum + d, g.size() + 10));
for (int i = 0; i < d; ++i) {
ng[sum + i] += 1;
}
for (int i = 0; i < 10; ++i) {
for (int x = 0; x < g.size(); ++x) {
ng[x + i] += g[x];
}
}
sum += d;
g.swap(ng);
while (!g.empty() && g.back()() == 0) {
g.pop_back();
}
}
if (g.size() < sum + 1) {
g.resize(sum + 1);
}
g[sum] += 1;
g[0] -= 1;
auto f = [](int x) {
int res = 0;
while (x) {
res += x % 10;
x /= 10;
}
return res;
};
for (int i = 1; i <= k - 1; ++i) {
std::vector<mint> ng(g.size());
for (int x = 0; x < g.size(); ++x) {
ng[f(x)] += g[x];
}
g.swap(ng);
while (!g.empty() && g.back()() == 0) {
g.pop_back();
}
}
if (g.size() < m + 1) {
std::cout << "0\n";
} else {
std::cout << g[m]() << '\n';
}
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int t;
std::cin >> t;
while (t--) {
solve();
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3804kb
input:
2 114 1 5 514 2 10
output:
8 10
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 1ms
memory: 3900kb
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: 116ms
memory: 3784kb
input:
5 3134666912140933323880320519044791121794814671711104987304374190280064994554822259889216567113228716903875026053927191961850586115167336109747673868148288830282192461669674173201533887392623483710043038941036243583011049049915834937139438028987629569618561762595613799223807979488245056374812076511...
output:
0 613343513 0 500149787 932367667
result:
ok 5 lines
Test #4:
score: 0
Accepted
time: 117ms
memory: 3728kb
input:
5 1139519997005658838804233882542131329603951012645222504700958241682545257324091070752720569220022637054777343187779232016568942045167801853025395316038491270541841827939668031807503056209394655628349207403327386083909984082879989255237547274110143051980886947606735206241362546384481120301780245959...
output:
0 0 983106233 842410978 351127737
result:
ok 5 lines
Test #5:
score: 0
Accepted
time: 117ms
memory: 3780kb
input:
5 8638076091316635855641492966551052879887835736093039980247820372626975300011595185556660107638347885877620156412525017113706895612406460047827904025826640853053762221239009476530804397983925491363476392003741370633988524528072186299564325622601218035310613510134479162974878452692502169127286160440...
output:
0 151494485 491996396 951216080 735591005
result:
ok 5 lines
Test #6:
score: 0
Accepted
time: 117ms
memory: 4028kb
input:
5 4594403190887655851098979323885347301970260472182981436563110607463337770897498592230279433635011809482497666151819612860549852933087582131069399973150048275594755688227873941703801791577493672811179138154635173296855021815570777969295164438906410283251071005981539590431740858876880832337309525533...
output:
452162993 993032288 529250142 0 0
result:
ok 5 lines
Test #7:
score: 0
Accepted
time: 113ms
memory: 3780kb
input:
5 7106329661074460076851813089444392472728206874451143771638786962963099120130351553150316525985245033972323999641553983578568333846746709032264525531367915930983812069660457027974526824268427908058438462283103774963889147187903776098321357665707620452891363086885353145154955480116362167820560099473...
output:
0 42143665 0 0 266635325
result:
ok 5 lines
Test #8:
score: 0
Accepted
time: 115ms
memory: 3724kb
input:
5 3197096843267069616758413776891049764649182364659681310636123435063129351340319661216252795154685419993835505771367978692486745621757064307866143997529010856187698866761085397967488612326286182291301655780420802213700700872824442868225191222911023750488609973480926167606063152176688092948837104972...
output:
447917122 738150576 134709012 571675718 0
result:
ok 5 lines
Test #9:
score: 0
Accepted
time: 116ms
memory: 3780kb
input:
5 7612942550467855237767978070830743429305395120370014044416141696259440200835613011108477499855450341979327882148431400498007877975643997499046007388707405687392636406520850657394581417406913024784851871291661719356877660941151602720564069428677800545614776632869404791295787921432277016643912651129...
output:
0 264129072 541216127 357954287 0
result:
ok 5 lines
Test #10:
score: 0
Accepted
time: 0ms
memory: 3684kb
input:
5 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
0 0 0 0 0
result:
ok 5 lines
Test #11:
score: 0
Accepted
time: 118ms
memory: 3928kb
input:
5 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
910755804 259808709 937821856 357970005 357970004
result:
ok 5 lines
Test #12:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
5 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
0 0 0 0 0
result:
ok 5 lines
Test #13:
score: 0
Accepted
time: 116ms
memory: 3728kb
input:
5 5493600942860040477621631776833866796633825984175588516360787148451695869301784861251377693592220895430016092915864584070561727072786074401876239679966435830840108325415158767012889770532442098922126012279790947926699687673153716303479935588263453954268774120993175103389470374955885050132475090943...
output:
0 300754613 527108222 803186040 892721871
result:
ok 5 lines
Test #14:
score: 0
Accepted
time: 118ms
memory: 3700kb
input:
5 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
320215386 716889023 567624008 357970005 357970006
result:
ok 5 lines
Test #15:
score: 0
Accepted
time: 116ms
memory: 3720kb
input:
5 9812761167325920856130376846862436937947447230654673184010669691739766031552475237221268849030438467080297886603870858917934654394088222131015941324484064243169674411393827605062172844413306867153409653032875875932730337155928621241642891239404177544951325020506663647342309917196598863243062161544...
output:
0 469928597 497418961 0 391423761
result:
ok 5 lines
Test #16:
score: 0
Accepted
time: 116ms
memory: 3728kb
input:
5 9013501952727330363984611655757069529140061668352243348131242141715906906114807898855698384965618856928927417081394644166161162830825179502161401400642096135223979387761058683717466953382929504725324258978052930668420706866257850069631732579721803675116406468720025921542594305209295461027074284529...
output:
385295755 0 826010110 468568966 0
result:
ok 5 lines
Test #17:
score: 0
Accepted
time: 117ms
memory: 3720kb
input:
5 8299276307146554536050575918961724216373725603114732403143797725790612708959386530057274467495195402828666463169527607000394687018773329311746262289704318815996536046048237937697238691975566621555830914989783566285006290394230091450543627201211538144590398957372070315341068147825604925011592907516...
output:
0 510867977 0 343376120 214886107
result:
ok 5 lines
Test #18:
score: 0
Accepted
time: 116ms
memory: 3784kb
input:
5 5978386495534656451410085599244329473463314859713321863671010880820574367293215984254435511977274737538376669406905970846704986107233076928078383576465358933281714235428695844731759396130287355362520342786149980212289046796827813545285558877894772706667916112882424152831253823242761178245591040551...
output:
200381997 248732590 659988610 728803841 281731921
result:
ok 5 lines
Test #19:
score: 0
Accepted
time: 122ms
memory: 4020kb
input:
5 3653745784886652871154357862309923857817567252560725002381570519161248252147392315049190794174402649782040388482129025970204654043850249370372033244471538178164319261755776547097203201498608147530621634820597155316537832780268365695458704201328436275425247055333335893078213722495376788491166394840...
output:
0 827622189 909406252 224192882 472231991
result:
ok 5 lines
Test #20:
score: 0
Accepted
time: 117ms
memory: 3672kb
input:
5 8033033272391208112504025738196814953295344818136472894597554051040020955286362518341894063333412258812817219386808976514037940329057156352396807896773931916676875163079204283714827821854630201268421360605246824369120510639882686009186217462096143084170888173631995492474470043432451899005431488434...
output:
210535726 822079653 985955681 540372548 893241037
result:
ok 5 lines
Test #21:
score: 0
Accepted
time: 117ms
memory: 4016kb
input:
5 5567143473825105413062640204906776053975645715210961093621242820515284746059383788299405075430487954445602098969989027355660374546878999126847721403752212660945084700687121976823655410921184811436776882931203119629438066770465897899783553110960619700314302907304525788754873835497787674395031347966...
output:
0 0 358266018 0 50998365
result:
ok 5 lines