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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#752975 | #9553. The Hermit | ucup-team3646# | AC ✓ | 108ms | 23536kb | C++20 | 2.5kb | 2024-11-16 10:44:14 | 2024-11-18 19:44:56 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define rep(i, n) for (ll i = 0; i < n; i++)
#define rep2(i, l, r) for (ll i = l; i < r; i++)
using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;
/* ---- */
#define all(A) A.begin(), A.end()
#define elif else if
using pii = pair<ll, ll>;
bool chmin(auto &a, const auto &b) { return a > b ? a = b, 1 : 0; }
bool chmax(auto &a, const auto &b) { return a < b ? a = b, 1 : 0; }
struct IOSetup {
IOSetup() {
cin.tie(0);
ios::sync_with_stdio(0);
}
} iosetup;
template <class T>
void print(vector<T> a) {
for (auto x : a) cerr << x << ' ';
cerr << endl;
}
void print(auto x) { cerr << x << endl; }
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
cerr << head << ' ';
print(forward<Tail>(tail)...);
}
const ll mod=998244353;
ll powll(ll x, ll k) {
ll v = 1;
while (k) {
if (k & 1) v = v * x % mod;
x = x * x % mod;
k >>= 1;
}
return v;
}
int len=200000;
vll fac, finv;
void precalc() {
fac.assign(len, 1), finv.assign(len, 1);
rep2(i, 2, len) fac[i] = fac[i - 1] * i % mod;
finv[len - 1] = powll(fac[len - 1], mod - 2);
for (int i = len - 2; i >= 0; i--) finv[i] = finv[i + 1] * (i + 1) % mod;
}
ll binom(ll n, ll k) {
if (n < 0 || k < 0 || k > n) return 0;
// assert(n < len);
return fac[n] * finv[k] % mod * finv[n - k] % mod;
}
ll inv(ll a) {
// a = (a % mod + mod) % mod; // 必要なら
if (a < len) return fac[a - 1] * finv[a] % mod;
return powll(a, mod - 2);
}
int main(){
precalc();
int n,m;
cin>>m>>n;
int K=20;
vector<vll>dp(K+1,vll(m+1,0));
rep2(i,1,m+1)dp[1][i]=1;
rep2(j,1,K-1){
rep2(i,1,m+1){
int now=2*i;
while(now<=m){
dp[j+1][now]+=dp[j][i];
dp[j+1][now]%=mod;
now+=i;
}
}
}
// rep2(i,1,K-1){
// rep2(j,1,m+1){
// int rem=(m/j)-1;
// dp2[i][j]=dp[i][j]%mod*binom(rem,n-i)%mod;
// }
// }
// rep2(i,1,4){
// print(dp2[i]);
// }
ll ans=0;
ll ALL=binom(m,n);
rep2(i,1,K-1){
rep2(j,1,m+1){
ll c=dp[i][j];
int now=2*j;
ll rem=c*binom((m/j)-1,n-i);
rem%=mod;
while(now<=m){
rem-=c*binom((m/now)-1,n-(i+1));
rem%=mod;
now+=j;
}
ans+=rem*max(0LL,n-i);
ans%=mod;
ALL-=rem;
ALL%=mod;
}
}
ans+=ALL*n;
ans%=mod;
ans=(ans%mod+mod)%mod;
cout<<ans<<endl;
}
这程序好像有点Bug,我给组数据试试?
詳細信息
Test #1:
score: 100
Accepted
time: 4ms
memory: 6316kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 0ms
memory: 6208kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 91ms
memory: 23380kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 8ms
memory: 8076kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 86ms
memory: 23376kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 94ms
memory: 23396kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 102ms
memory: 23408kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 3ms
memory: 6212kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 3ms
memory: 6092kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 3ms
memory: 6184kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 0ms
memory: 6364kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 3ms
memory: 6204kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 3ms
memory: 6312kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 0ms
memory: 6724kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 0ms
memory: 6648kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 3ms
memory: 6556kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 3ms
memory: 6612kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 85ms
memory: 23380kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 30ms
memory: 12300kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 10ms
memory: 8364kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 3ms
memory: 6224kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 95ms
memory: 23376kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 98ms
memory: 23532kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 94ms
memory: 23536kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 12ms
memory: 8128kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 97ms
memory: 23516kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 102ms
memory: 23388kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 103ms
memory: 23368kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 96ms
memory: 23420kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 14ms
memory: 8680kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 99ms
memory: 23384kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 107ms
memory: 23368kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 107ms
memory: 23392kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 108ms
memory: 23408kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 96ms
memory: 23372kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 93ms
memory: 22632kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 81ms
memory: 22604kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 3ms
memory: 6224kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 0ms
memory: 6368kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 3ms
memory: 6316kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 3ms
memory: 6180kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 0ms
memory: 6212kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 3ms
memory: 6160kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 0ms
memory: 6116kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 3ms
memory: 6312kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 3ms
memory: 6108kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 62ms
memory: 18424kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 68ms
memory: 17660kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 71ms
memory: 17616kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 98ms
memory: 23536kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 94ms
memory: 23464kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 94ms
memory: 23532kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 93ms
memory: 23364kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed