QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#138167 | #6740. Function | Nicolas125841 | AC ✓ | 161ms | 4476kb | C++17 | 1.1kb | 2023-08-11 03:08:34 | 2023-08-11 03:29:12 |
Judging History
answer
#include <bits/extc++.h>
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define depref(x, y) (x[y] - x[y-1])
unordered_map<ll, ll> s_f;
const ll mod = 998244353;
const ll CAP = 20210926;
const ll DPC = 100000;
vector<ll> dp(DPC + 1, 0);
void prep(){
dp[0] = 0;
dp[1] = 1;
for(int i = 2; i <= DPC; i++){
for(int j = 1; j * j <= i; j++){
if(i % j)
continue;
dp[i] += dp[i / j];
if(j * j != i)
dp[i] += dp[j];
dp[i] %= mod;
}
}
for(int i = 1; i <= DPC; i++)
dp[i] = (dp[i] + dp[i - 1]) % mod;
}
ll solve(ll n){
if(n <= DPC)
return dp[n];
if(s_f.find(n) != s_f.end())
return s_f[n];
ll ans = 1;
for(ll i = 2, ub; i <= min(n, CAP); i = ub + 1){
ub = n / (n / i);
ans += solve(n/i) * (min(CAP, ub) - i + 1) % mod;
ans %= mod;
}
return s_f[n] = ans;
}
int main(){
ll n;
cin >> n;
prep();
cout << solve(n) << "\n";
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 39ms
memory: 3672kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 43ms
memory: 3724kb
input:
2
output:
2
result:
ok 1 number(s): "2"
Test #3:
score: 0
Accepted
time: 42ms
memory: 3744kb
input:
100
output:
949
result:
ok 1 number(s): "949"
Test #4:
score: 0
Accepted
time: 38ms
memory: 3668kb
input:
10
output:
19
result:
ok 1 number(s): "19"
Test #5:
score: 0
Accepted
time: 42ms
memory: 3752kb
input:
1000
output:
48614
result:
ok 1 number(s): "48614"
Test #6:
score: 0
Accepted
time: 38ms
memory: 3776kb
input:
10000
output:
2602393
result:
ok 1 number(s): "2602393"
Test #7:
score: 0
Accepted
time: 42ms
memory: 3676kb
input:
100000
output:
139804054
result:
ok 1 number(s): "139804054"
Test #8:
score: 0
Accepted
time: 42ms
memory: 3664kb
input:
1000000
output:
521718285
result:
ok 1 number(s): "521718285"
Test #9:
score: 0
Accepted
time: 43ms
memory: 3704kb
input:
10000000
output:
503104917
result:
ok 1 number(s): "503104917"
Test #10:
score: 0
Accepted
time: 53ms
memory: 3692kb
input:
100000000
output:
198815604
result:
ok 1 number(s): "198815604"
Test #11:
score: 0
Accepted
time: 155ms
memory: 4416kb
input:
1000000000
output:
373787809
result:
ok 1 number(s): "373787809"
Test #12:
score: 0
Accepted
time: 155ms
memory: 4424kb
input:
999999999
output:
997616263
result:
ok 1 number(s): "997616263"
Test #13:
score: 0
Accepted
time: 160ms
memory: 4476kb
input:
999999990
output:
997615701
result:
ok 1 number(s): "997615701"
Test #14:
score: 0
Accepted
time: 159ms
memory: 4328kb
input:
999999900
output:
993928691
result:
ok 1 number(s): "993928691"
Test #15:
score: 0
Accepted
time: 156ms
memory: 4408kb
input:
999999000
output:
754532207
result:
ok 1 number(s): "754532207"
Test #16:
score: 0
Accepted
time: 161ms
memory: 4372kb
input:
999990000
output:
996592686
result:
ok 1 number(s): "996592686"
Test #17:
score: 0
Accepted
time: 158ms
memory: 4384kb
input:
999900000
output:
311678722
result:
ok 1 number(s): "311678722"
Test #18:
score: 0
Accepted
time: 159ms
memory: 4472kb
input:
999000000
output:
60462624
result:
ok 1 number(s): "60462624"
Test #19:
score: 0
Accepted
time: 156ms
memory: 4400kb
input:
990000000
output:
444576800
result:
ok 1 number(s): "444576800"
Test #20:
score: 0
Accepted
time: 148ms
memory: 4380kb
input:
900000000
output:
95615129
result:
ok 1 number(s): "95615129"
Test #21:
score: 0
Accepted
time: 43ms
memory: 3752kb
input:
1361956
output:
813433539
result:
ok 1 number(s): "813433539"
Test #22:
score: 0
Accepted
time: 43ms
memory: 3688kb
input:
7579013
output:
677659797
result:
ok 1 number(s): "677659797"
Test #23:
score: 0
Accepted
time: 43ms
memory: 3676kb
input:
8145517
output:
801509527
result:
ok 1 number(s): "801509527"
Test #24:
score: 0
Accepted
time: 43ms
memory: 3676kb
input:
6140463
output:
869023935
result:
ok 1 number(s): "869023935"
Test #25:
score: 0
Accepted
time: 42ms
memory: 3668kb
input:
3515281
output:
989091505
result:
ok 1 number(s): "989091505"
Test #26:
score: 0
Accepted
time: 43ms
memory: 3656kb
input:
6969586
output:
539840131
result:
ok 1 number(s): "539840131"