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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#754075 | #9553. The Hermit | ucup-team3802# | AC ✓ | 211ms | 33764kb | C++23 | 1.5kb | 2024-11-16 14:10:41 | 2024-11-18 19:46:51 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define all(a) a.begin(), a.end()
#define rep(i, a, b) for(ll i = a; i < b; i++)
#define per(i, a, b) for(ll i = b-1; i >= a; i--)
const ll mod = 998244353;
ll mod_pow(ll a,ll x) {
ll res = 1;
while(x > 0){
if(x & 1) res = res * a % mod;
a = a * a % mod;
x >>= 1;
}
return res;
}
int L = 500'000;
vector<ll> fact;
vector<ll> finv;
void init(){
fact.resize(L+1, 1);
finv.resize(L+1, 1);
rep(i, 1, L+1){
fact[i] = fact[i-1] * (i) % mod;
}
finv[L] = mod_pow(fact[L], mod-2);
per(i, 0, L){
finv[i] = finv[i+1] * (i+1) % mod;
}
}
ll nCr(ll n, ll r){
if(n < r) return 0;
if (n < 0 || r < 0) return 0;
return fact[n] * finv[r] % mod * finv[n-r] % mod;
}
void solve(){
init();
ll m,n;
cin >> m >> n;
vector<vector<ll>> cant(m+1, vector<ll>(25, 0));
rep(i, 1, m+1){
cant[i][1] = 1;
}
ll res = 0;
rep(i, 1, m+1){
ll mn = 1e9;
rep(j, 0, 25){
res = (res + nCr(m/i-1, n-j) * cant[i][j]) % mod;
}
if(mn != 0){
for(ll j = i * 2; j <= m; j += i){
rep(k, 0, 24){
cant[j][k+1] = (cant[j][k+1] + cant[i][k]) % mod;
}
}
}
}
cout << (nCr(m, n) * n % mod - res + mod) % mod << endl;
}
int main(){
int t = 1;
while(t--){
solve();
}
}
这程序好像有点Bug,我给组数据试试?
Details
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Test #1:
score: 100
Accepted
time: 7ms
memory: 10760kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 3ms
memory: 10672kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 96ms
memory: 33540kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 11ms
memory: 13604kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 211ms
memory: 33636kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 175ms
memory: 33760kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 179ms
memory: 33764kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 3ms
memory: 10728kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 6ms
memory: 10852kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 3ms
memory: 10764kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 3ms
memory: 10696kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 3ms
memory: 10760kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 3ms
memory: 10852kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 8ms
memory: 11156kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 8ms
memory: 11516kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 4ms
memory: 11204kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 8ms
memory: 11292kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 137ms
memory: 33640kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 23ms
memory: 18900kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 10ms
memory: 13792kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 6ms
memory: 10672kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 117ms
memory: 33524kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 169ms
memory: 33656kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 92ms
memory: 33540kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 8ms
memory: 13436kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 99ms
memory: 33684kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 109ms
memory: 33680kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 158ms
memory: 33596kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 100ms
memory: 33668kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 9ms
memory: 14088kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 86ms
memory: 33740kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 88ms
memory: 33736kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 89ms
memory: 33524kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 79ms
memory: 33660kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 90ms
memory: 33628kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 81ms
memory: 32484kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 97ms
memory: 32416kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 6ms
memory: 10716kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 7ms
memory: 10808kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 3ms
memory: 10756kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 7ms
memory: 10676kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 3ms
memory: 10648kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 3ms
memory: 10684kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 6ms
memory: 10628kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 3ms
memory: 10812kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 3ms
memory: 10840kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 85ms
memory: 26948kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 105ms
memory: 25652kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 105ms
memory: 25672kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 93ms
memory: 33596kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 98ms
memory: 33624kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 92ms
memory: 33736kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 85ms
memory: 33692kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed