QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#377619 | #7996. 报数 IV | ling | AC ✓ | 996ms | 39204kb | C++23 | 4.4kb | 2024-04-05 16:02:18 | 2024-04-05 16:02:19 |
Judging History
answer
//(ᗜ ˰ ᗜ)
// #define NDEBUG
#include <bits/stdc++.h>
using namespace std;
namespace LING
{
#ifdef ONLINE_JUDGE
#define DBG(...) ;
#define dbg(...) ;
#else
#define DBG(x) cout << "! " << #x << " = " << x << endl
#include "debug.h"
#endif
using ll = long long;
using db = double;
#define SPO(x) fixed << setprecision(x)
#define FOR(i, l, r) for (ll i = l; i <= (r); ++i)
#define ROF(i, r, l) for (ll i = r; i >= (l); --i)
#define edl '\n'
#define fir first
#define sec second
#define str string
#define pll pair<ll, ll>
#define heap priority_queue
// constexpr db PI = acos(-1.0);
// constexpr db EPS = 1.0e-9;
constexpr long long LNF = 0x3f3f3f3f3f3f3f3fLL;
constexpr int INF = 0x3f3f3f3f;
constexpr long long MOD = 1e9 + 7;
constexpr ll MXN = 1e6 + 5;
ll KSM(ll base, ll exp, ll MOD)
{
ll res = 1;
base %= MOD;
while (exp)
{
if (exp & 1)
res = (res * base) % MOD;
base = (base * base) % MOD;
exp >>= 1;
}
return res;
}
}
using namespace LING;
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>;
str n;
ll x;
ll k, m;
Z f[1005][9005];
ll l, r, p, len, a[1005];
ll cc(ll n)
{
ll ans = 0;
while (n)
{
ans += n % 10;
n /= 10;
}
return ans;
}
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 && f[pos][sum] != -1)
{
return f[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 f[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(void)
{
for (int i = 0; i <= 1002; i++)
for (int j = 0; j <= 9001; j++)
f[i][j] = -1;
cin >> n >> k >> m;
k = min(k, 4LL);
cout << cal(n) << edl;
return;
}
int main(void)
{
ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
// #ifndef ONLINE_JUDGE
// freopen("cin.txt","r",stdin);
// freopen("cout.txt","w",stdout);
// #endif
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: 3ms
memory: 38920kb
input:
2 114 1 5 514 2 10
output:
8 10
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 12ms
memory: 38880kb
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: 957ms
memory: 38960kb
input:
5 3134666912140933323880320519044791121794814671711104987304374190280064994554822259889216567113228716903875026053927191961850586115167336109747673868148288830282192461669674173201533887392623483710043038941036243583011049049915834937139438028987629569618561762595613799223807979488245056374812076511...
output:
0 613343513 0 500149787 932367667
result:
ok 5 lines
Test #4:
score: 0
Accepted
time: 968ms
memory: 38920kb
input:
5 1139519997005658838804233882542131329603951012645222504700958241682545257324091070752720569220022637054777343187779232016568942045167801853025395316038491270541841827939668031807503056209394655628349207403327386083909984082879989255237547274110143051980886947606735206241362546384481120301780245959...
output:
0 0 983106233 842410978 351127737
result:
ok 5 lines
Test #5:
score: 0
Accepted
time: 964ms
memory: 38960kb
input:
5 8638076091316635855641492966551052879887835736093039980247820372626975300011595185556660107638347885877620156412525017113706895612406460047827904025826640853053762221239009476530804397983925491363476392003741370633988524528072186299564325622601218035310613510134479162974878452692502169127286160440...
output:
0 151494485 491996396 951216080 735591005
result:
ok 5 lines
Test #6:
score: 0
Accepted
time: 970ms
memory: 38948kb
input:
5 4594403190887655851098979323885347301970260472182981436563110607463337770897498592230279433635011809482497666151819612860549852933087582131069399973150048275594755688227873941703801791577493672811179138154635173296855021815570777969295164438906410283251071005981539590431740858876880832337309525533...
output:
452162993 993032288 529250142 0 0
result:
ok 5 lines
Test #7:
score: 0
Accepted
time: 959ms
memory: 39008kb
input:
5 7106329661074460076851813089444392472728206874451143771638786962963099120130351553150316525985245033972323999641553983578568333846746709032264525531367915930983812069660457027974526824268427908058438462283103774963889147187903776098321357665707620452891363086885353145154955480116362167820560099473...
output:
0 42143665 0 0 266635325
result:
ok 5 lines
Test #8:
score: 0
Accepted
time: 983ms
memory: 38952kb
input:
5 3197096843267069616758413776891049764649182364659681310636123435063129351340319661216252795154685419993835505771367978692486745621757064307866143997529010856187698866761085397967488612326286182291301655780420802213700700872824442868225191222911023750488609973480926167606063152176688092948837104972...
output:
447917122 738150576 134709012 571675718 0
result:
ok 5 lines
Test #9:
score: 0
Accepted
time: 962ms
memory: 38936kb
input:
5 7612942550467855237767978070830743429305395120370014044416141696259440200835613011108477499855450341979327882148431400498007877975643997499046007388707405687392636406520850657394581417406913024784851871291661719356877660941151602720564069428677800545614776632869404791295787921432277016643912651129...
output:
0 264129072 541216127 357954287 0
result:
ok 5 lines
Test #10:
score: 0
Accepted
time: 965ms
memory: 38864kb
input:
5 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
0 0 0 0 0
result:
ok 5 lines
Test #11:
score: 0
Accepted
time: 977ms
memory: 38964kb
input:
5 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
910755804 259808709 937821856 357970005 357970004
result:
ok 5 lines
Test #12:
score: 0
Accepted
time: 976ms
memory: 39204kb
input:
5 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
0 0 0 0 0
result:
ok 5 lines
Test #13:
score: 0
Accepted
time: 990ms
memory: 38864kb
input:
5 5493600942860040477621631776833866796633825984175588516360787148451695869301784861251377693592220895430016092915864584070561727072786074401876239679966435830840108325415158767012889770532442098922126012279790947926699687673153716303479935588263453954268774120993175103389470374955885050132475090943...
output:
0 300754613 527108222 803186040 892721871
result:
ok 5 lines
Test #14:
score: 0
Accepted
time: 979ms
memory: 38912kb
input:
5 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
320215386 716889023 567624008 357970005 357970006
result:
ok 5 lines
Test #15:
score: 0
Accepted
time: 951ms
memory: 39136kb
input:
5 9812761167325920856130376846862436937947447230654673184010669691739766031552475237221268849030438467080297886603870858917934654394088222131015941324484064243169674411393827605062172844413306867153409653032875875932730337155928621241642891239404177544951325020506663647342309917196598863243062161544...
output:
0 469928597 497418961 0 391423761
result:
ok 5 lines
Test #16:
score: 0
Accepted
time: 970ms
memory: 38920kb
input:
5 9013501952727330363984611655757069529140061668352243348131242141715906906114807898855698384965618856928927417081394644166161162830825179502161401400642096135223979387761058683717466953382929504725324258978052930668420706866257850069631732579721803675116406468720025921542594305209295461027074284529...
output:
385295755 0 826010110 468568966 0
result:
ok 5 lines
Test #17:
score: 0
Accepted
time: 996ms
memory: 39008kb
input:
5 8299276307146554536050575918961724216373725603114732403143797725790612708959386530057274467495195402828666463169527607000394687018773329311746262289704318815996536046048237937697238691975566621555830914989783566285006290394230091450543627201211538144590398957372070315341068147825604925011592907516...
output:
0 510867977 0 343376120 214886107
result:
ok 5 lines
Test #18:
score: 0
Accepted
time: 987ms
memory: 38904kb
input:
5 5978386495534656451410085599244329473463314859713321863671010880820574367293215984254435511977274737538376669406905970846704986107233076928078383576465358933281714235428695844731759396130287355362520342786149980212289046796827813545285558877894772706667916112882424152831253823242761178245591040551...
output:
200381997 248732590 659988610 728803841 281731921
result:
ok 5 lines
Test #19:
score: 0
Accepted
time: 976ms
memory: 38964kb
input:
5 3653745784886652871154357862309923857817567252560725002381570519161248252147392315049190794174402649782040388482129025970204654043850249370372033244471538178164319261755776547097203201498608147530621634820597155316537832780268365695458704201328436275425247055333335893078213722495376788491166394840...
output:
0 827622189 909406252 224192882 472231991
result:
ok 5 lines
Test #20:
score: 0
Accepted
time: 953ms
memory: 39132kb
input:
5 8033033272391208112504025738196814953295344818136472894597554051040020955286362518341894063333412258812817219386808976514037940329057156352396807896773931916676875163079204283714827821854630201268421360605246824369120510639882686009186217462096143084170888173631995492474470043432451899005431488434...
output:
210535726 822079653 985955681 540372548 893241037
result:
ok 5 lines
Test #21:
score: 0
Accepted
time: 975ms
memory: 38944kb
input:
5 5567143473825105413062640204906776053975645715210961093621242820515284746059383788299405075430487954445602098969989027355660374546878999126847721403752212660945084700687121976823655410921184811436776882931203119629438066770465897899783553110960619700314302907304525788754873835497787674395031347966...
output:
0 0 358266018 0 50998365
result:
ok 5 lines