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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#398852 | #7996. 报数 IV | DopplerXD | AC ✓ | 369ms | 39044kb | C++20 | 1.7kb | 2024-04-25 19:08:21 | 2024-04-25 19:08:22 |
Judging History
answer
// https://qoj.ac/contest/1464/problem/7996
// 1次f最大达到9000(sum 10^1000-1)
// 2次f最大达到35(sum 8999)
#include <bits/stdc++.h>
#define ll long long
using namespace std;
const int N = 1e3 + 5;
const int M = 9e3 + 5;
const int mod = 1e9 + 7;
int dp[N][M]; // dp[i][j] 表示长度为i+1的总和为j的数的个数
int k, m;
string s;
int n;
int SUM(int x) {
int res = 0;
while (x) {
res += (x % 10);
x /= 10;
}
return res;
}
void pre_dp() {
memset(dp, 0, sizeof(dp));
int sum = s[0] - '0';
for (int i = 0; i < s[0] - '0'; i++) dp[0][i] = 1;
for (int i = 1; i < n; i++) {
// 前面的i位数都顶到上限,当前位不超过(s[i]-'0')的数量都++
for (int j = 0; j <= 9 * (i + 1); j++) {
if (j - sum >= 0 && j - sum < s[i] - '0') {
dp[i][j]++;
}
for (int k = 0; k <= 9; k++) {
if (j - k < 0) break;
dp[i][j] += dp[i - 1][j - k];
dp[i][j] %= mod;
}
}
sum += s[i] - '0';
}
dp[n - 1][sum]++;
}
void solve() {
cin >> s >> k >> m;
if (m > 9000 || (k >= 2 && m >= 36)) {
cout << "0\n";
return;
}
if (k > 4) k = 4;
n = s.length();
pre_dp();
int ans = 0;
for (int i = 1; i <= 9000; i++) {
int x = i;
for (int j = 1; j < k; j++) {
x = SUM(x);
if (x < 10) break;
}
if (x == m) {
ans += dp[n - 1][i];
ans %= mod;
}
}
cout << ans << '\n';
}
int main()
{
int T_T = 1;
cin >> T_T;
while (T_T--)
solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 9ms
memory: 39024kb
input:
2 114 1 5 514 2 10
output:
8 10
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 13ms
memory: 39036kb
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: 284ms
memory: 39020kb
input:
5 3134666912140933323880320519044791121794814671711104987304374190280064994554822259889216567113228716903875026053927191961850586115167336109747673868148288830282192461669674173201533887392623483710043038941036243583011049049915834937139438028987629569618561762595613799223807979488245056374812076511...
output:
0 613343513 0 500149787 932367667
result:
ok 5 lines
Test #4:
score: 0
Accepted
time: 218ms
memory: 38940kb
input:
5 1139519997005658838804233882542131329603951012645222504700958241682545257324091070752720569220022637054777343187779232016568942045167801853025395316038491270541841827939668031807503056209394655628349207403327386083909984082879989255237547274110143051980886947606735206241362546384481120301780245959...
output:
0 0 983106233 842410978 351127737
result:
ok 5 lines
Test #5:
score: 0
Accepted
time: 290ms
memory: 38960kb
input:
5 8638076091316635855641492966551052879887835736093039980247820372626975300011595185556660107638347885877620156412525017113706895612406460047827904025826640853053762221239009476530804397983925491363476392003741370633988524528072186299564325622601218035310613510134479162974878452692502169127286160440...
output:
0 151494485 491996396 951216080 735591005
result:
ok 5 lines
Test #6:
score: 0
Accepted
time: 287ms
memory: 38940kb
input:
5 4594403190887655851098979323885347301970260472182981436563110607463337770897498592230279433635011809482497666151819612860549852933087582131069399973150048275594755688227873941703801791577493672811179138154635173296855021815570777969295164438906410283251071005981539590431740858876880832337309525533...
output:
452162993 993032288 529250142 0 0
result:
ok 5 lines
Test #7:
score: 0
Accepted
time: 216ms
memory: 38908kb
input:
5 7106329661074460076851813089444392472728206874451143771638786962963099120130351553150316525985245033972323999641553983578568333846746709032264525531367915930983812069660457027974526824268427908058438462283103774963889147187903776098321357665707620452891363086885353145154955480116362167820560099473...
output:
0 42143665 0 0 266635325
result:
ok 5 lines
Test #8:
score: 0
Accepted
time: 284ms
memory: 38952kb
input:
5 3197096843267069616758413776891049764649182364659681310636123435063129351340319661216252795154685419993835505771367978692486745621757064307866143997529010856187698866761085397967488612326286182291301655780420802213700700872824442868225191222911023750488609973480926167606063152176688092948837104972...
output:
447917122 738150576 134709012 571675718 0
result:
ok 5 lines
Test #9:
score: 0
Accepted
time: 286ms
memory: 38956kb
input:
5 7612942550467855237767978070830743429305395120370014044416141696259440200835613011108477499855450341979327882148431400498007877975643997499046007388707405687392636406520850657394581417406913024784851871291661719356877660941151602720564069428677800545614776632869404791295787921432277016643912651129...
output:
0 264129072 541216127 357954287 0
result:
ok 5 lines
Test #10:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
5 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
0 0 0 0 0
result:
ok 5 lines
Test #11:
score: 0
Accepted
time: 356ms
memory: 39044kb
input:
5 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
910755804 259808709 937821856 357970005 357970004
result:
ok 5 lines
Test #12:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
5 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
0 0 0 0 0
result:
ok 5 lines
Test #13:
score: 0
Accepted
time: 283ms
memory: 38884kb
input:
5 5493600942860040477621631776833866796633825984175588516360787148451695869301784861251377693592220895430016092915864584070561727072786074401876239679966435830840108325415158767012889770532442098922126012279790947926699687673153716303479935588263453954268774120993175103389470374955885050132475090943...
output:
0 300754613 527108222 803186040 892721871
result:
ok 5 lines
Test #14:
score: 0
Accepted
time: 369ms
memory: 38972kb
input:
5 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
320215386 716889023 567624008 357970005 357970006
result:
ok 5 lines
Test #15:
score: 0
Accepted
time: 214ms
memory: 38940kb
input:
5 9812761167325920856130376846862436937947447230654673184010669691739766031552475237221268849030438467080297886603870858917934654394088222131015941324484064243169674411393827605062172844413306867153409653032875875932730337155928621241642891239404177544951325020506663647342309917196598863243062161544...
output:
0 469928597 497418961 0 391423761
result:
ok 5 lines
Test #16:
score: 0
Accepted
time: 214ms
memory: 38920kb
input:
5 9013501952727330363984611655757069529140061668352243348131242141715906906114807898855698384965618856928927417081394644166161162830825179502161401400642096135223979387761058683717466953382929504725324258978052930668420706866257850069631732579721803675116406468720025921542594305209295461027074284529...
output:
385295755 0 826010110 468568966 0
result:
ok 5 lines
Test #17:
score: 0
Accepted
time: 214ms
memory: 38940kb
input:
5 8299276307146554536050575918961724216373725603114732403143797725790612708959386530057274467495195402828666463169527607000394687018773329311746262289704318815996536046048237937697238691975566621555830914989783566285006290394230091450543627201211538144590398957372070315341068147825604925011592907516...
output:
0 510867977 0 343376120 214886107
result:
ok 5 lines
Test #18:
score: 0
Accepted
time: 361ms
memory: 38984kb
input:
5 5978386495534656451410085599244329473463314859713321863671010880820574367293215984254435511977274737538376669406905970846704986107233076928078383576465358933281714235428695844731759396130287355362520342786149980212289046796827813545285558877894772706667916112882424152831253823242761178245591040551...
output:
200381997 248732590 659988610 728803841 281731921
result:
ok 5 lines
Test #19:
score: 0
Accepted
time: 286ms
memory: 39044kb
input:
5 3653745784886652871154357862309923857817567252560725002381570519161248252147392315049190794174402649782040388482129025970204654043850249370372033244471538178164319261755776547097203201498608147530621634820597155316537832780268365695458704201328436275425247055333335893078213722495376788491166394840...
output:
0 827622189 909406252 224192882 472231991
result:
ok 5 lines
Test #20:
score: 0
Accepted
time: 365ms
memory: 38952kb
input:
5 8033033272391208112504025738196814953295344818136472894597554051040020955286362518341894063333412258812817219386808976514037940329057156352396807896773931916676875163079204283714827821854630201268421360605246824369120510639882686009186217462096143084170888173631995492474470043432451899005431488434...
output:
210535726 822079653 985955681 540372548 893241037
result:
ok 5 lines
Test #21:
score: 0
Accepted
time: 143ms
memory: 38892kb
input:
5 5567143473825105413062640204906776053975645715210961093621242820515284746059383788299405075430487954445602098969989027355660374546878999126847721403752212660945084700687121976823655410921184811436776882931203119629438066770465897899783553110960619700314302907304525788754873835497787674395031347966...
output:
0 0 358266018 0 50998365
result:
ok 5 lines