QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#204870 | #6740. Function | kiwiHM# | AC ✓ | 966ms | 4348kb | C++14 | 786b | 2023-10-07 14:13:25 | 2023-10-07 14:13:26 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int INF = 998244353;
int n;
int f[100005];
vector<int> vec;
int main(){
scanf("%d", &n);
for(int i = 1, j, k; i <= n; i = j + 1){
k = n / i, j = n / k;
vec.push_back(i);
}
for(int i = vec.size() - 1; i >= 0; --i){
f[i] = 1;
for(int j = 2; j <= 20210926 && vec[i] * j <= n; ){
int pos = upper_bound(vec.begin(), vec.end(), vec[i] * j) - vec.begin() - 1;
int l = vec[pos];
int r;
if(pos == vec.size() - 1) r = n;
else r = vec[pos + 1] - 1;
int k = min(20210926, r / vec[i]);
// printf("i = %d (%d %d) j = %d k = %d\n", vec[i], l, r, j, k);
f[i] = (f[i] + 1ll * (k - j + 1) * f[pos]) % INF;
j = k + 1;
}
}
printf("%d\n", f[0]);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3936kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
2
output:
2
result:
ok 1 number(s): "2"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
100
output:
949
result:
ok 1 number(s): "949"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
10
output:
19
result:
ok 1 number(s): "19"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
1000
output:
48614
result:
ok 1 number(s): "48614"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3976kb
input:
10000
output:
2602393
result:
ok 1 number(s): "2602393"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
100000
output:
139804054
result:
ok 1 number(s): "139804054"
Test #8:
score: 0
Accepted
time: 4ms
memory: 3812kb
input:
1000000
output:
521718285
result:
ok 1 number(s): "521718285"
Test #9:
score: 0
Accepted
time: 19ms
memory: 4020kb
input:
10000000
output:
503104917
result:
ok 1 number(s): "503104917"
Test #10:
score: 0
Accepted
time: 148ms
memory: 4048kb
input:
100000000
output:
198815604
result:
ok 1 number(s): "198815604"
Test #11:
score: 0
Accepted
time: 964ms
memory: 4300kb
input:
1000000000
output:
373787809
result:
ok 1 number(s): "373787809"
Test #12:
score: 0
Accepted
time: 964ms
memory: 4216kb
input:
999999999
output:
997616263
result:
ok 1 number(s): "997616263"
Test #13:
score: 0
Accepted
time: 966ms
memory: 4164kb
input:
999999990
output:
997615701
result:
ok 1 number(s): "997615701"
Test #14:
score: 0
Accepted
time: 965ms
memory: 4300kb
input:
999999900
output:
993928691
result:
ok 1 number(s): "993928691"
Test #15:
score: 0
Accepted
time: 965ms
memory: 4248kb
input:
999999000
output:
754532207
result:
ok 1 number(s): "754532207"
Test #16:
score: 0
Accepted
time: 965ms
memory: 4164kb
input:
999990000
output:
996592686
result:
ok 1 number(s): "996592686"
Test #17:
score: 0
Accepted
time: 965ms
memory: 4288kb
input:
999900000
output:
311678722
result:
ok 1 number(s): "311678722"
Test #18:
score: 0
Accepted
time: 965ms
memory: 4348kb
input:
999000000
output:
60462624
result:
ok 1 number(s): "60462624"
Test #19:
score: 0
Accepted
time: 958ms
memory: 4220kb
input:
990000000
output:
444576800
result:
ok 1 number(s): "444576800"
Test #20:
score: 0
Accepted
time: 882ms
memory: 4156kb
input:
900000000
output:
95615129
result:
ok 1 number(s): "95615129"
Test #21:
score: 0
Accepted
time: 5ms
memory: 3828kb
input:
1361956
output:
813433539
result:
ok 1 number(s): "813433539"
Test #22:
score: 0
Accepted
time: 18ms
memory: 3980kb
input:
7579013
output:
677659797
result:
ok 1 number(s): "677659797"
Test #23:
score: 0
Accepted
time: 20ms
memory: 4048kb
input:
8145517
output:
801509527
result:
ok 1 number(s): "801509527"
Test #24:
score: 0
Accepted
time: 16ms
memory: 4004kb
input:
6140463
output:
869023935
result:
ok 1 number(s): "869023935"
Test #25:
score: 0
Accepted
time: 10ms
memory: 3916kb
input:
3515281
output:
989091505
result:
ok 1 number(s): "989091505"
Test #26:
score: 0
Accepted
time: 17ms
memory: 3984kb
input:
6969586
output:
539840131
result:
ok 1 number(s): "539840131"