QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#778471 | #9553. The Hermit | xcxc82# | AC ✓ | 514ms | 44952kb | C++14 | 2.3kb | 2024-11-24 14:47:53 | 2024-11-24 14:47:53 |
Judging History
answer
#include<bits/stdc++.h>
#define raed read
#define int long long
using namespace std;
const int MAXN = 200010,INF = 0x3f3f3f3f,mod = 998244353;
const double eps = 0.0001;
inline int read(){
int X=0; bool flag=1; char ch=getchar();
while(ch<'0'||ch>'9') {if(ch=='-') flag=0; ch=getchar();}
while(ch>='0'&&ch<='9') {X=(X<<1)+(X<<3)+ch-'0'; ch=getchar();}
if(flag) return X;return ~(X-1);
}
int n,m,T,f[MAXN],in[MAXN];
int cnt[MAXN][25];//以i为开头,长度为j的方案数
vector<int> e[MAXN];
int f_pow(int a,int b){
int ans = 1;
while(b){
if(b&1) ans = (ans*a%mod)%mod;
b>>=1;
a = (a*a)%mod;
}
return ans%mod;
}
int Get(int a,int b){
a%=mod;
b%=mod;
return (a*f_pow(b,mod-2))%mod;
}
int C(int a,int b){//a个里选b个
int x = f[a];
int y = f[b]*f[a-b]%mod;
return Get(x,y);
}
int Cnt(int x,int l,int r){//x在[l,r]里的倍数数量
return r/x-(l-1)/x;
}
void topsort(){
queue<int> q;
for(int i=1;i<=m;i++){
cnt[i][1] = 1;
if(!in[i]){
q.push(i);
}
}
while(!q.empty()){
int v = q.front();
q.pop();
for(auto u:e[v]){
in[u]--;
if(!in[u]) q.push(u);
for(int i=1;i<=20;i++){
cnt[u][i]+=cnt[v][i-1];
cnt[u][i]%=mod;
}
}
}
}
signed main(){
f[0] = 1;
for(int i=1;i<=100000;i++){
f[i] = f[i-1]*i;
f[i]%=mod;
}
cin>>m>>n;
for(int i=1;i<=m;i++){
for(int j=i*2;j<=m;j+=i){
e[i].push_back(j);
in[j]++;
}
}
topsort();
/*for(int i=1;i<=m;i++){
for(int j=1;j<=4;j++) cout<<cnt[i][j]<<" ";
cout<<endl;
}*/
int ans = 0;
for(int i=1;i<=m;i++){
int X = m-i,Y = Cnt(i,i+1,m);//随意 / 全是i的倍数
int ax = 0;
int ay = 0;
if(X>=n-1) ax = C(X,n-1);
if(Y>=n-1) ay = C(Y,n-1);
int az = (ax-ay+mod)%mod;
ans+=(az*n)%mod;
ans%=mod;
for(int j=2*i;j<=m;j+=i){
for(int len=1;len<=20;len++){
if(!cnt[i][len]) continue;
int X = Cnt(i,j+1,m),Y = Cnt(j,j+1,m);
int ax = 0;
int ay = 0;
if(n-len-1<0) continue;
if(X<n-len-1) continue;
else ax = C(X,n-len-1);
if(Y<n-len-1) ay = 0;
else ay = C(Y,n-len-1);
int az = (ax-ay+mod)%mod;
az = az*cnt[i][len]%mod;
az = az*(n-len)%mod;
ans+=az;
ans%=mod;
}
}
}
cout<<ans<<endl;
}
/*
11 4
4 3
7
6 4
49
*/
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 12884kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 3ms
memory: 12760kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 72ms
memory: 42500kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 10ms
memory: 15788kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 121ms
memory: 44556kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 108ms
memory: 42184kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 451ms
memory: 43144kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 3ms
memory: 12560kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 0ms
memory: 10776kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 3ms
memory: 12724kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 0ms
memory: 12580kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 3ms
memory: 13176kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 3ms
memory: 12912kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 3ms
memory: 12668kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 0ms
memory: 13660kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 3ms
memory: 12952kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 3ms
memory: 13272kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 82ms
memory: 44620kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 39ms
memory: 22332kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 41ms
memory: 16240kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 10492kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 141ms
memory: 44904kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 79ms
memory: 43152kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 76ms
memory: 42384kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 33ms
memory: 15832kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 345ms
memory: 42504kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 514ms
memory: 44716kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 78ms
memory: 42348kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 63ms
memory: 44548kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 15ms
memory: 16492kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 450ms
memory: 42500kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 454ms
memory: 44760kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 439ms
memory: 42496kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 434ms
memory: 44868kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 74ms
memory: 42404kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 72ms
memory: 41660kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 62ms
memory: 42352kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 3ms
memory: 12768kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 0ms
memory: 12712kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 2ms
memory: 13160kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 0ms
memory: 12780kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 0ms
memory: 13352kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 0ms
memory: 12616kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 2ms
memory: 12824kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 2ms
memory: 12980kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 0ms
memory: 13444kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 67ms
memory: 34276kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 274ms
memory: 31860kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 273ms
memory: 32004kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 257ms
memory: 42088kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 270ms
memory: 42404kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 348ms
memory: 44952kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 91ms
memory: 44876kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed