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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#807096 | #9553. The Hermit | Sword1E1 | AC ✓ | 91ms | 25160kb | C++23 | 1.6kb | 2024-12-09 18:48:01 | 2024-12-09 18:48:02 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define dbg(x...) \
do { \
std::cout << #x << " -> "; \
err(x); \
} while (0)
void err() {
std::cout << std::endl;
}
template<class T, class... Ts>
void err(T arg, Ts &... args) {
std::cout << fixed << setprecision(10) << arg << ' ';
err(args...);
}
const int maxn = 1e5 + 5;
const int mod = 998244353;
int fac[maxn],inv[maxn],dp[maxn][25];
int C(int n,int m) {
if (n < m) return 0;
return fac[n] * inv[m] % mod * inv[n - m] % mod;
}
int ADD(int a,int b) {
return (a + b) % mod;
}
int qmi(int a,int b) {
int res = 1;
while (b) {
if (b & 1) res = res * a % mod;
a = a * a % mod;
b >>= 1;
}
return res % mod;
}
void init() {
for (int i = 1;i <= 1e5;i++) dp[i][1] = 1;
for (int k = 2;k <= 20;k++) {
for (int i = 1;i <= 1e5;i++) {
for (int j = i * 2;j <= 1e5;j += i) {
dp[j][k] = ADD(dp[j][k],dp[i][k - 1]);
}
}
}
fac[0] = inv[0] = 1;
for (int i = 1;i <= maxn;i++) {
fac[i] = fac[i - 1] * i % mod;
inv[i] = qmi(fac[i],mod - 2);
}
}
void GENSHEN_START() {
int n,m;cin >> m >> n;
int ans = C(m,n) * n % mod;
vector <int> over(m + 1);
for (int i = 1;i <= m;i++) {
for (int j = i * 2;j <= m;j+=i) {
over[i]++;
}
}
for (int i = 1;i <= m;i++) {
for (int j = 1;j <= 20;j++) {
int val = 0;
if (n - j >= 0) val = dp[i][j] * C(over[i],n - j) % mod;
ans = (ans - val + mod) % mod;
}
}
cout << ans << '\n';
}
signed main()
{
ios::sync_with_stdio(false);cin.tie(nullptr);
int T = 1;
init();
//cin >> T;
while (T--) GENSHEN_START();
return 0;
}
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: 79ms
memory: 24612kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 76ms
memory: 24664kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 83ms
memory: 25040kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 77ms
memory: 24976kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 87ms
memory: 24888kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 91ms
memory: 25152kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 87ms
memory: 24900kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 84ms
memory: 24672kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 84ms
memory: 24960kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 80ms
memory: 24928kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 80ms
memory: 24620kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 76ms
memory: 24668kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 82ms
memory: 24672kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 76ms
memory: 24736kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 80ms
memory: 24688kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 78ms
memory: 24980kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 84ms
memory: 24676kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 85ms
memory: 24872kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 81ms
memory: 24956kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 77ms
memory: 24768kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 80ms
memory: 24696kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 82ms
memory: 25100kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 87ms
memory: 24876kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 85ms
memory: 24936kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 84ms
memory: 24688kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 88ms
memory: 24884kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 80ms
memory: 24948kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 85ms
memory: 25096kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 87ms
memory: 24964kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 81ms
memory: 24768kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 87ms
memory: 24916kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 87ms
memory: 24944kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 88ms
memory: 24876kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 80ms
memory: 24872kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 89ms
memory: 25160kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 83ms
memory: 24916kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 87ms
memory: 24948kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 83ms
memory: 24728kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 80ms
memory: 24960kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 80ms
memory: 24952kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 79ms
memory: 24724kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 78ms
memory: 24728kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 80ms
memory: 24700kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 83ms
memory: 24732kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 81ms
memory: 24612kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 79ms
memory: 24724kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 88ms
memory: 24824kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 85ms
memory: 24884kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 86ms
memory: 24668kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 87ms
memory: 25160kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 86ms
memory: 24868kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 87ms
memory: 25028kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 87ms
memory: 25112kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed