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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 |
---|---|---|---|---|---|---|---|---|---|
#754531 | #9553. The Hermit | ucup-team2010# | AC ✓ | 89ms | 31376kb | C++23 | 1.6kb | 2024-11-16 15:15:15 | 2024-11-18 19:47:38 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
#define pb push_back
constexpr int maxn = 2e5 + 7;
constexpr int mod = 998244353;
template<class T>
T power(T a, ll b) {
T res = 1;
for (; b; b >>= 1) {
if (b & 1) {
res = res * a;
}
a *= a;
}
return res;
}
ll powermod(ll a, ll b) {
ll res = 1;
for (; b; b >>= 1) {
if (b & 1) {
res = (res * a) % mod;
}
a = (a * a) % mod;
}
return res;
}
ll fac[maxn], invfac[maxn];
void init() {
fac[0] = invfac[0] = 1;
for (int i = 1; i < maxn; i++) {
fac[i] = (fac[i - 1] * i) % mod;
}
invfac[maxn - 1] = powermod(fac[maxn - 1], mod - 2);
for (int i = maxn - 2; i >= 0; i--) {
invfac[i] = (invfac[i + 1] * (i + 1)) % mod;
}
}
ll binom(int n, int m) {
if (n < m or m < 0)return 0;
return (fac[n] * invfac[m] % mod) * invfac[n - m] % mod;
}
ll del(ll a, ll b) {
a -= b;
if (a < 0)a += mod;
return a;
}
std::vector<int> pr[maxn];
ll ff[maxn];
void solve() {
ll n, m;
cin >> n >> m;
ll ans = (binom(n, m) * m) % mod;
for (ll i = 1; i <= n; i++) {
for (ll j = 2 * i; j <= n; j += i) {
pr[j].pb(i);
ff[i]++;
}
}
std::vector dp(n + 1, std::vector<ll>());
for (int i = 1; i <= n; i++) {
dp[i].resize((ll)(pr[i].size() + 1));
dp[i][0] = 1;
for (auto q : pr[i]) {
for(int j=0;j<dp[q].size();j++){
dp[i][j+1]=(dp[i][j+1]+dp[q][j])%mod;
}
}
for(int j=0;j<dp[i].size();j++){
ans=del(ans,dp[i][j]*binom(ff[i],m-j-1)%mod);
}
}
cout << ans;
}
int main() {
ios::sync_with_stdio(false); cin.tie(0);
init();
int t = 1;
// cin>>t;
while (t--)solve();
}
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: 0ms
memory: 7992kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 4ms
memory: 7708kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 82ms
memory: 29884kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 7ms
memory: 10080kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 72ms
memory: 29372kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 68ms
memory: 30280kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 73ms
memory: 29652kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 3ms
memory: 7996kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 3ms
memory: 7452kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 0ms
memory: 7436kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 3ms
memory: 8612kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 3ms
memory: 7920kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 3ms
memory: 7916kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 4ms
memory: 7964kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 0ms
memory: 7368kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 0ms
memory: 7452kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 2ms
memory: 8276kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 71ms
memory: 30764kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 18ms
memory: 15160kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 9ms
memory: 10860kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 8312kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 72ms
memory: 29924kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 64ms
memory: 30332kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 75ms
memory: 30024kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 7ms
memory: 9644kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 77ms
memory: 30012kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 71ms
memory: 30780kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 89ms
memory: 29748kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 71ms
memory: 30544kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 8ms
memory: 9676kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 72ms
memory: 31084kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 86ms
memory: 29932kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 83ms
memory: 29848kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 64ms
memory: 31244kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 67ms
memory: 31116kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 80ms
memory: 29552kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 53ms
memory: 28564kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 3ms
memory: 6924kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 0ms
memory: 6984kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 0ms
memory: 7216kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 0ms
memory: 7144kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 3ms
memory: 8496kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 3ms
memory: 7808kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 0ms
memory: 7576kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 0ms
memory: 7180kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 0ms
memory: 7308kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 43ms
memory: 22696kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 31ms
memory: 22408kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 46ms
memory: 22404kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 71ms
memory: 30616kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 69ms
memory: 30448kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 81ms
memory: 30292kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 57ms
memory: 31376kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed