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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#755084 | #9553. The Hermit | ucup-team191# | AC ✓ | 227ms | 48152kb | C++23 | 1.6kb | 2024-11-16 16:25:22 | 2024-11-18 19:48:17 |
Judging History
answer
#include <bits/stdc++.h>
#define x first
#define y second
using namespace std;
using ll=long long;
using vi=vector<int>;
using vl=vector<ll>;
using pii=pair<int,int>;
#define pb push_back
#define all(a) begin(a),end(a)
const int N=300010,MOD=998244353;
const char en='\n';
const ll LLINF=1ll<<60;
const int LOG = 20;
inline int add(int A, int B) {
if(A + B >= MOD) return A + B - MOD;
return A + B;
}
inline int sub(int A, int B) {
if(A - B < 0) return A - B + MOD;
return A - B;
}
inline int mul(int A, int B) {
return 1ll * A * B % MOD;
}
inline int pot(int A, int B) {
int ret = 1;
for(; B ; B >>= 1) {
if(B & 1) ret = mul(ret, A);
A = mul(A, A);
}
return ret;
}
int fak[N], inv[N];
vector < int > dj[N];
void precompute() {
fak[0] = 1;
for(int i = 1;i < N;i++) {
fak[i] = mul(i, fak[i - 1]);
}
inv[N - 1] = pot(fak[N - 1], MOD - 2);
for(int i = N - 2;i >= 0;i--)
inv[i] = mul(i + 1, inv[i + 1]);
for(int i = 1;i < N;i++) {
for(int j = 2 * i;j < N;j += i)
dj[j].pb(i);
}
}
int choose(int n, int k) {
if(k > n || k < 0) return 0;
return mul(fak[n], mul(inv[k], inv[n - k]));
}
int n, m, puteva[N][LOG];
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0); precompute();
cin >> n >> m;
int sol = mul(m, choose(n, m));
for(int i = 1;i <= n;i++) {
puteva[i][1] = 1;
for(int j = 2;j < LOG;j++) {
for(int x : dj[i])
puteva[i][j] = add(puteva[i][j], puteva[x][j - 1]);
}
for(int j = 1;j < LOG;j++) {
sol = sub(sol, mul(puteva[i][j], choose(n / i - 1, m - j)));
}
}
cout << sol << endl;
}
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: 104ms
memory: 38276kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 91ms
memory: 38360kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 133ms
memory: 46100kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 115ms
memory: 39232kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 144ms
memory: 46328kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 161ms
memory: 46128kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 218ms
memory: 46080kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 194ms
memory: 38344kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 196ms
memory: 38264kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 126ms
memory: 38264kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 138ms
memory: 38340kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 159ms
memory: 38268kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 106ms
memory: 38272kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 105ms
memory: 38416kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 122ms
memory: 38416kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 146ms
memory: 38408kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 150ms
memory: 38360kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 162ms
memory: 47596kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 126ms
memory: 40940kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 114ms
memory: 39304kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 103ms
memory: 38264kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 137ms
memory: 46152kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 135ms
memory: 47228kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 175ms
memory: 46296kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 105ms
memory: 39052kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 218ms
memory: 46092kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 223ms
memory: 46084kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 195ms
memory: 46544kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 168ms
memory: 46832kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 180ms
memory: 39312kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 173ms
memory: 46112kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 139ms
memory: 46136kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 205ms
memory: 46076kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 224ms
memory: 46076kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 144ms
memory: 47188kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 124ms
memory: 45684kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 205ms
memory: 47412kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 140ms
memory: 38344kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 174ms
memory: 38288kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 174ms
memory: 38272kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 164ms
memory: 38344kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 107ms
memory: 38360kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 162ms
memory: 38316kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 119ms
memory: 38340kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 102ms
memory: 38268kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 110ms
memory: 38248kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 127ms
memory: 43848kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 130ms
memory: 43436kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 184ms
memory: 44068kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 225ms
memory: 46052kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 187ms
memory: 46144kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 227ms
memory: 48152kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 200ms
memory: 46152kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed