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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 |
---|---|---|---|---|---|---|---|---|---|
#753634 | #9553. The Hermit | ucup-team5657# | AC ✓ | 76ms | 28632kb | C++14 | 1.8kb | 2024-11-16 13:21:09 | 2024-11-18 19:45:19 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> P;
#define fi first
#define se second
#define mkp make_pair
#define pb emplace_back
#define popcnt __builtin_popcountll
const int mod = 998244353;
inline ll read(){
ll x=0, f=1; char ch=getchar();
while(ch<'0' || ch>'9') { if(ch=='-') f=-1; ch=getchar(); }
while(ch>='0' && ch<='9') x=x*10+ch-'0', ch=getchar();
return x*f;
}
inline int lg2(int x){ return 31^__builtin_clz(x); }
inline ll lg2(ll x){ return 63^__builtin_clzll(x); }
inline ll qpow(ll a,ll b){
ll ans=1, base=a;
while(b){
if(b&1) ans=ans*base%mod;
base=base*base%mod; b>>=1;
}
return ans;
}
void init(){ }
namespace math{
const ll N = 1000000;
ll fac[N+5],inv[N+5];
void init(){
fac[0]=inv[0]=1;
for(ll i=1;i<=N;i++) fac[i]=fac[i-1]*i%mod;
inv[N]=qpow(fac[N],mod-2);
for(ll i=N-1;i>=1;i--) inv[i]=inv[i+1]*(i+1)%mod;
}
inline ll binom(ll x,ll y){
if(x<0 || y<0 || x<y) return 0;
return fac[x]*inv[y]%mod*inv[x-y]%mod;
}
inline ll perm(ll x,ll y){
if(x<0 || y<0 || x<y) return 0;
return fac[x]*inv[x-y]%mod;
}
}
int n,m,dp[25][100005];
void procedure(){
m=read(), n=read();
if(n == 1 && m == 1){
puts("0");
return;
}
ll ans = n * math::binom(m, n) % mod;
for(int i=1;i<=m;i++){
dp[1][i] = (dp[1][i] + 1) % mod;
for(int k=1; k<=17; k++){
for(int j=2*i; j<=m; j+=i){
(dp[k+1][j] += dp[k][i]) %= mod;
}
}
}
for(int i=1;i<=m;i++){
for(int j=1; j<=17; j++)
ans = (ans + (mod - dp[j][i]) * math::binom(m/i-1, n-j)) % mod;
}
printf("%lld\n", ans);
}
int main(){
math::init();
#ifdef LOCAL
assert(freopen("input.txt","r",stdin));
assert(freopen("output.txt","w",stdout));
#endif
ll T=1;
init();
while(T--) procedure();
return 0;
}
这程序好像有点Bug,我给组数据试试?
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 20880kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 7ms
memory: 21132kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 64ms
memory: 27536kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 11ms
memory: 21024kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 66ms
memory: 28488kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 66ms
memory: 28128kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 54ms
memory: 28172kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 3ms
memory: 20372kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 6ms
memory: 20736kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 4ms
memory: 19932kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 7ms
memory: 21568kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 11ms
memory: 20404kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 8ms
memory: 21464kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 12ms
memory: 21212kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 13ms
memory: 20384kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 13ms
memory: 20880kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 6ms
memory: 21404kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 72ms
memory: 26636kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 27ms
memory: 22392kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 15ms
memory: 20928kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 3ms
memory: 20584kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 62ms
memory: 27444kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 69ms
memory: 28092kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 59ms
memory: 27508kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 11ms
memory: 21028kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 68ms
memory: 26940kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 76ms
memory: 27952kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 54ms
memory: 28060kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 64ms
memory: 27796kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 12ms
memory: 20496kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 60ms
memory: 28632kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 64ms
memory: 28300kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 68ms
memory: 28036kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 61ms
memory: 28536kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 70ms
memory: 27280kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 57ms
memory: 27908kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 58ms
memory: 26592kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 7ms
memory: 20248kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 12ms
memory: 20356kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 8ms
memory: 21164kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 12ms
memory: 21420kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 0ms
memory: 19972kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 3ms
memory: 20896kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 12ms
memory: 21200kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 8ms
memory: 19976kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 0ms
memory: 19596kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 43ms
memory: 26332kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 45ms
memory: 26052kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 41ms
memory: 25184kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 56ms
memory: 27200kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 64ms
memory: 26868kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 56ms
memory: 26708kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 52ms
memory: 27816kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed