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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#412395 | #6740. Function | Liberty12619 | AC ✓ | 72ms | 11576kb | C++20 | 946b | 2024-05-16 13:11:04 | 2024-05-16 13:11:04 |
Judging History
answer
#include <bits/stdc++.h>
#define x first
#define y second
#define int long long
using namespace std;
typedef pair<int,int> PII;
const int N = 1e6+10,mod = 998244353,INF=1e12,cap = 20210926;
int dp[N];
map<int,int>mp;
void init()
{
dp[1]=1;
for(int i=1;i<N;i++)
{
dp[i]%=mod;
for(int j=i*2;j<N;j+=i) dp[j]+=dp[i];
}
for(int i=2;i<=N;i++)
{
dp[i]+=dp[i-1];
if(dp[i]>=mod) dp[i]-=mod;
}
}
int solve(int n)
{
if(n<N) return dp[n];
if(mp.count(n)) return mp[n];
int ans=1;
for(int l=2,r;l<=min(cap,n);l=r+1)
{
r = n/(n/l);
ans =(ans + solve(n/l)*(min(cap,r)-l+1))%mod;
}
return mp[n]=ans;
}
signed main()
{
int T=1;
cin.tie(0)->sync_with_stdio(false);
//cin>>T;
init();
while(T--)
{
int n;
cin>>n;
cout<<solve(n)<<"\n";
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 30ms
memory: 11520kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 29ms
memory: 11444kb
input:
2
output:
2
result:
ok 1 number(s): "2"
Test #3:
score: 0
Accepted
time: 30ms
memory: 11364kb
input:
100
output:
949
result:
ok 1 number(s): "949"
Test #4:
score: 0
Accepted
time: 29ms
memory: 11356kb
input:
10
output:
19
result:
ok 1 number(s): "19"
Test #5:
score: 0
Accepted
time: 32ms
memory: 11516kb
input:
1000
output:
48614
result:
ok 1 number(s): "48614"
Test #6:
score: 0
Accepted
time: 30ms
memory: 11428kb
input:
10000
output:
2602393
result:
ok 1 number(s): "2602393"
Test #7:
score: 0
Accepted
time: 30ms
memory: 11444kb
input:
100000
output:
139804054
result:
ok 1 number(s): "139804054"
Test #8:
score: 0
Accepted
time: 29ms
memory: 11492kb
input:
1000000
output:
521718285
result:
ok 1 number(s): "521718285"
Test #9:
score: 0
Accepted
time: 30ms
memory: 11448kb
input:
10000000
output:
503104917
result:
ok 1 number(s): "503104917"
Test #10:
score: 0
Accepted
time: 30ms
memory: 11456kb
input:
100000000
output:
198815604
result:
ok 1 number(s): "198815604"
Test #11:
score: 0
Accepted
time: 71ms
memory: 11428kb
input:
1000000000
output:
373787809
result:
ok 1 number(s): "373787809"
Test #12:
score: 0
Accepted
time: 67ms
memory: 11476kb
input:
999999999
output:
997616263
result:
ok 1 number(s): "997616263"
Test #13:
score: 0
Accepted
time: 72ms
memory: 11572kb
input:
999999990
output:
997615701
result:
ok 1 number(s): "997615701"
Test #14:
score: 0
Accepted
time: 71ms
memory: 11448kb
input:
999999900
output:
993928691
result:
ok 1 number(s): "993928691"
Test #15:
score: 0
Accepted
time: 71ms
memory: 11484kb
input:
999999000
output:
754532207
result:
ok 1 number(s): "754532207"
Test #16:
score: 0
Accepted
time: 67ms
memory: 11576kb
input:
999990000
output:
996592686
result:
ok 1 number(s): "996592686"
Test #17:
score: 0
Accepted
time: 68ms
memory: 11448kb
input:
999900000
output:
311678722
result:
ok 1 number(s): "311678722"
Test #18:
score: 0
Accepted
time: 72ms
memory: 11448kb
input:
999000000
output:
60462624
result:
ok 1 number(s): "60462624"
Test #19:
score: 0
Accepted
time: 71ms
memory: 11504kb
input:
990000000
output:
444576800
result:
ok 1 number(s): "444576800"
Test #20:
score: 0
Accepted
time: 64ms
memory: 11496kb
input:
900000000
output:
95615129
result:
ok 1 number(s): "95615129"
Test #21:
score: 0
Accepted
time: 30ms
memory: 11368kb
input:
1361956
output:
813433539
result:
ok 1 number(s): "813433539"
Test #22:
score: 0
Accepted
time: 30ms
memory: 11392kb
input:
7579013
output:
677659797
result:
ok 1 number(s): "677659797"
Test #23:
score: 0
Accepted
time: 26ms
memory: 11360kb
input:
8145517
output:
801509527
result:
ok 1 number(s): "801509527"
Test #24:
score: 0
Accepted
time: 26ms
memory: 11440kb
input:
6140463
output:
869023935
result:
ok 1 number(s): "869023935"
Test #25:
score: 0
Accepted
time: 29ms
memory: 11368kb
input:
3515281
output:
989091505
result:
ok 1 number(s): "989091505"
Test #26:
score: 0
Accepted
time: 30ms
memory: 11368kb
input:
6969586
output:
539840131
result:
ok 1 number(s): "539840131"