QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#125666 | #6740. Function | AFewSuns | AC ✓ | 540ms | 7788kb | C++14 | 2.3kb | 2023-07-17 09:45:30 | 2023-07-17 09:45:33 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
namespace my_std{
#define ll int
#define bl bool
ll my_pow(ll a,ll b,ll mod){
ll res=1;
if(!b) return 1;
while(b){
if(b&1) res=(res*a)%mod;
a=(a*a)%mod;
b>>=1;
}
return res;
}
ll qpow(ll a,ll b){
ll res=1;
if(!b) return 1;
while(b){
if(b&1) res*=a;
a*=a;
b>>=1;
}
return res;
}
#define db double
#define pf printf
#define pc putchar
#define fr(i,x,y) for(register ll i=(x);i<=(y);i++)
#define pfr(i,x,y) for(register ll i=(x);i>=(y);i--)
#define go(u) for(ll i=head[u];i;i=e[i].nxt)
#define enter pc('\n')
#define space pc(' ')
#define fir first
#define sec second
#define MP make_pair
#define il inline
#define inf 1e18
#define random(x) rand()*rand()%(x)
#define inv(a,mod) my_pow((a),(mod-2),(mod))
il ll read(){
ll sum=0,f=1;
char ch=0;
while(!isdigit(ch)){
if(ch=='-') f=-1;
ch=getchar();
}
while(isdigit(ch)){
sum=sum*10+(ch^48);
ch=getchar();
}
return sum*f;
}
il void write(ll x){
if(x<0){
x=-x;
pc('-');
}
if(x>9) write(x/10);
pc(x%10+'0');
}
il void writeln(ll x){
write(x);
enter;
}
il void writesp(ll x){
write(x);
space;
}
}
using namespace my_std;
#define mod 998244353
set<ll> s;
ll n,lsh[100010],cnt=0;
long long f[100010];
struct hash{
#define MOD 10007
ll head[10007],nxt[100010],to[100010],cnt=0;
il void ins(ll x){
nxt[++cnt]=head[x%MOD];
to[cnt]=x;
head[x%MOD]=cnt;
}
il bl query(ll x){
for(ll i=head[x%MOD];i;i=nxt[i]) if(to[i]==x) return 1;
return 0;
}
}H;
int main(){
n=read();
H.ins(n+1);
s.insert(n+1);
fr(i,1,1){
H.ins(i);
s.insert(i);
}
while(!s.empty()){
ll x=*(--s.end());
s.erase(x);
lsh[++cnt]=x;
if(x<=1) continue;
ll l=2,r;
while(l<=min(x-1,20210926)){
r=(x-1)/((x-1)/l);
ll tmp=(x-1)/l+1;
if(tmp<=1) break;
if(!H.query(tmp)){
H.ins(tmp);
s.insert(tmp);
}
l=r+1;
}
}
reverse(lsh+1,lsh+cnt+1);
pfr(i,cnt-1,1){
f[i]=1;
ll l=2,r,lst=1;
while(l<=20210926&&l*lsh[i]<=n){
ll pos=upper_bound(lsh+lst,lsh+cnt+1,lsh[i]*l)-lsh-1;
r=min(20210926,(lsh[pos+1]+lsh[i]-1)/lsh[i]-1);
f[i]+=(r-l+1)*f[pos];
l=r+1;
lst=pos;
}
}
write(f[1]%mod);
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3528kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3336kb
input:
2
output:
2
result:
ok 1 number(s): "2"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3344kb
input:
100
output:
949
result:
ok 1 number(s): "949"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3436kb
input:
10
output:
19
result:
ok 1 number(s): "19"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
1000
output:
48614
result:
ok 1 number(s): "48614"
Test #6:
score: 0
Accepted
time: 1ms
memory: 3588kb
input:
10000
output:
2602393
result:
ok 1 number(s): "2602393"
Test #7:
score: 0
Accepted
time: 2ms
memory: 3476kb
input:
100000
output:
139804054
result:
ok 1 number(s): "139804054"
Test #8:
score: 0
Accepted
time: 2ms
memory: 3508kb
input:
1000000
output:
521718285
result:
ok 1 number(s): "521718285"
Test #9:
score: 0
Accepted
time: 17ms
memory: 3964kb
input:
10000000
output:
503104917
result:
ok 1 number(s): "503104917"
Test #10:
score: 0
Accepted
time: 89ms
memory: 4884kb
input:
100000000
output:
198815604
result:
ok 1 number(s): "198815604"
Test #11:
score: 0
Accepted
time: 531ms
memory: 7788kb
input:
1000000000
output:
373787809
result:
ok 1 number(s): "373787809"
Test #12:
score: 0
Accepted
time: 537ms
memory: 7576kb
input:
999999999
output:
997616263
result:
ok 1 number(s): "997616263"
Test #13:
score: 0
Accepted
time: 523ms
memory: 7620kb
input:
999999990
output:
997615701
result:
ok 1 number(s): "997615701"
Test #14:
score: 0
Accepted
time: 531ms
memory: 7624kb
input:
999999900
output:
993928691
result:
ok 1 number(s): "993928691"
Test #15:
score: 0
Accepted
time: 528ms
memory: 7628kb
input:
999999000
output:
754532207
result:
ok 1 number(s): "754532207"
Test #16:
score: 0
Accepted
time: 531ms
memory: 7744kb
input:
999990000
output:
996592686
result:
ok 1 number(s): "996592686"
Test #17:
score: 0
Accepted
time: 527ms
memory: 7660kb
input:
999900000
output:
311678722
result:
ok 1 number(s): "311678722"
Test #18:
score: 0
Accepted
time: 535ms
memory: 7576kb
input:
999000000
output:
60462624
result:
ok 1 number(s): "60462624"
Test #19:
score: 0
Accepted
time: 540ms
memory: 7612kb
input:
990000000
output:
444576800
result:
ok 1 number(s): "444576800"
Test #20:
score: 0
Accepted
time: 488ms
memory: 7448kb
input:
900000000
output:
95615129
result:
ok 1 number(s): "95615129"
Test #21:
score: 0
Accepted
time: 5ms
memory: 3748kb
input:
1361956
output:
813433539
result:
ok 1 number(s): "813433539"
Test #22:
score: 0
Accepted
time: 11ms
memory: 3884kb
input:
7579013
output:
677659797
result:
ok 1 number(s): "677659797"
Test #23:
score: 0
Accepted
time: 16ms
memory: 3904kb
input:
8145517
output:
801509527
result:
ok 1 number(s): "801509527"
Test #24:
score: 0
Accepted
time: 9ms
memory: 3748kb
input:
6140463
output:
869023935
result:
ok 1 number(s): "869023935"
Test #25:
score: 0
Accepted
time: 9ms
memory: 3848kb
input:
3515281
output:
989091505
result:
ok 1 number(s): "989091505"
Test #26:
score: 0
Accepted
time: 13ms
memory: 3732kb
input:
6969586
output:
539840131
result:
ok 1 number(s): "539840131"