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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#398569 | #7996. 报数 IV | DopplerXD | TL | 877ms | 74492kb | C++20 | 1.6kb | 2024-04-25 15:13:54 | 2024-04-25 15:13:56 |
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)
// 3次f最大达到11(sum 29)
// 4次f最大达到9(sum 9)
#include <bits/stdc++.h>
#define ll long long
using namespace std;
const ll mod = 1e9 + 7;
const int M = 9e3 + 5;
const int N = 1e3 + 5;
ll dp[N][M], mp[M];
string str;
int k, m, n;
int SUM(int x) {
int res = 0;
while (x) {
res += (x % 10);
x /= 10;
}
return res;
}
ll dfs(int p, int s, bool reach_up) { // p for position, s for sum
// reach_up for str[p-1] have reached upper limit or not
if (p == n) return mp[s];
if (p > n) return 0;
if (!reach_up && dp[p][s] != -1) return dp[p][s];
ll res = 0;
for (int i = 0; i <= 9; i++) {
if (reach_up && str[p] - '0' < i) continue;
res += dfs(p + 1, s + i, reach_up & (str[p] - '0' == i));
res %= mod;
}
if (!reach_up) dp[p][s] = res;
return res;
}
void solve() {
cin >> str >> k >> m;
if ((m > 9000) || (k >= 2 && m >= 35)) {
cout << 0 << '\n';
return;
}
n = str.length();
for (int i = 1; i <= 9000; i++) {
int x = i;
for (int i = 1; i < k; i++) {
x = SUM(x);
if (x < 10) break;
}
if (x == m) mp[i] = 1;
else mp[i] = 0;
}
memset(dp, -1, sizeof(dp));
cout << dfs(0, 0, 1) << '\n';
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
int T;
cin >> T;
while (T--) {
solve();
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 8ms
memory: 74352kb
input:
2 114 1 5 514 2 10
output:
8 10
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 32ms
memory: 74432kb
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: 867ms
memory: 74432kb
input:
5 3134666912140933323880320519044791121794814671711104987304374190280064994554822259889216567113228716903875026053927191961850586115167336109747673868148288830282192461669674173201533887392623483710043038941036243583011049049915834937139438028987629569618561762595613799223807979488245056374812076511...
output:
0 613343513 0 500149787 932367667
result:
ok 5 lines
Test #4:
score: 0
Accepted
time: 647ms
memory: 74468kb
input:
5 1139519997005658838804233882542131329603951012645222504700958241682545257324091070752720569220022637054777343187779232016568942045167801853025395316038491270541841827939668031807503056209394655628349207403327386083909984082879989255237547274110143051980886947606735206241362546384481120301780245959...
output:
0 0 983106233 842410978 351127737
result:
ok 5 lines
Test #5:
score: 0
Accepted
time: 877ms
memory: 74484kb
input:
5 8638076091316635855641492966551052879887835736093039980247820372626975300011595185556660107638347885877620156412525017113706895612406460047827904025826640853053762221239009476530804397983925491363476392003741370633988524528072186299564325622601218035310613510134479162974878452692502169127286160440...
output:
0 151494485 491996396 951216080 735591005
result:
ok 5 lines
Test #6:
score: 0
Accepted
time: 868ms
memory: 74436kb
input:
5 4594403190887655851098979323885347301970260472182981436563110607463337770897498592230279433635011809482497666151819612860549852933087582131069399973150048275594755688227873941703801791577493672811179138154635173296855021815570777969295164438906410283251071005981539590431740858876880832337309525533...
output:
452162993 993032288 529250142 0 0
result:
ok 5 lines
Test #7:
score: 0
Accepted
time: 642ms
memory: 74488kb
input:
5 7106329661074460076851813089444392472728206874451143771638786962963099120130351553150316525985245033972323999641553983578568333846746709032264525531367915930983812069660457027974526824268427908058438462283103774963889147187903776098321357665707620452891363086885353145154955480116362167820560099473...
output:
0 42143665 0 0 266635325
result:
ok 5 lines
Test #8:
score: 0
Accepted
time: 867ms
memory: 74492kb
input:
5 3197096843267069616758413776891049764649182364659681310636123435063129351340319661216252795154685419993835505771367978692486745621757064307866143997529010856187698866761085397967488612326286182291301655780420802213700700872824442868225191222911023750488609973480926167606063152176688092948837104972...
output:
447917122 738150576 134709012 571675718 0
result:
ok 5 lines
Test #9:
score: 0
Accepted
time: 862ms
memory: 74492kb
input:
5 7612942550467855237767978070830743429305395120370014044416141696259440200835613011108477499855450341979327882148431400498007877975643997499046007388707405687392636406520850657394581417406913024784851871291661719356877660941151602720564069428677800545614776632869404791295787921432277016643912651129...
output:
0 264129072 541216127 357954287 0
result:
ok 5 lines
Test #10:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
5 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
0 0 0 0 0
result:
ok 5 lines
Test #11:
score: -100
Time Limit Exceeded
input:
5 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
910755804 259808709 937821856 357970005 357970004