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| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #178138 | #7046. Function! | linnins | AC ✓ | 11ms | 1652kb | C++14 | 1.5kb | 2023-09-13 18:31:21 | 2023-09-13 18:31:21 |
Judging History
answer
#include <cstdio>
#include <cmath>
const int mp = 998244353;
const int ny2 = 499122177;
const int ny6 = 166374059;
int main(){
//printf("%d\n", 6 * ny6 % mp);
long long n;
scanf("%lld", &n);
int sqt = sqrt(n);
long long ans = 0;
for(long long a = 2; a <= sqt + 1; ++a){
long long t = a;
long long temp = 0;
int temp2 = 1;
while(t * a <= n){
temp = (temp + (((t * a % mp - t + mp) % mp) * temp2) % mp) % mp;
t = t * a;
++temp2;
}
temp = (temp + ((n - t + mp + 1) % mp * temp2) % mp) % mp;
ans = (ans + a * temp % mp) % mp;
}
if(sqt + 2 <= n){
if(n & 1){
long long p = sqt + 2;
long long a = ((n + 1) / 2 - p + mp) % mp;
long long b = (((n - 1) / 2) % mp);
long long tp = ((n - p + 1 + mp) % mp) * (((((n + 1) / 2) % mp) * (((n + 1) / 2) % mp)) % mp) % mp;
tp = (tp - (((a * (a + 1) % mp) * ((2 * a + 1) % mp) % mp) * ny6 % mp) + mp) % mp;
tp = (tp - (((b * (b + 1) % mp) * ((2 * b + 1) % mp) % mp) * ny6 % mp) + mp) % mp;
ans = (ans + tp) % mp;
}
else{
long long p = sqt + 2;
long long a = (n / 2) % mp;
long long b = (a - p + mp) % mp;
long long tp = (((((n - p + 1 + mp) % mp) * a) % mp) * a) % mp;
tp = (tp + (((n + p) % mp) * ((n - p + 1 + mp) % mp) % mp) * ny2 % mp) % mp;
tp = (tp - (((a * (a + 1) % mp) * ((2 * a + 1) % mp) % mp) * ny6 % mp) + mp) % mp;
tp = (tp - (((b * (b + 1) % mp) * ((2 * b + 1) % mp) % mp) * ny6 % mp) + mp) % mp;
ans = (ans + tp) % mp;
}
}
printf("%lld", ans);
return 0;
}
这程序好像有点Bug，我给组数据试试？
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 1588kb
input:
2
output:
2
result:
ok 1 number(s): "2"
Test #2:
score: 0
Accepted
time: 0ms
memory: 1632kb
input:
10
output:
236
result:
ok 1 number(s): "236"
Test #3:
score: 0
Accepted
time: 0ms
memory: 1604kb
input:
20
output:
1646
result:
ok 1 number(s): "1646"
Test #4:
score: 0
Accepted
time: 0ms
memory: 1472kb
input:
27
output:
3862
result:
ok 1 number(s): "3862"
Test #5:
score: 0
Accepted
time: 0ms
memory: 1600kb
input:
37
output:
9571
result:
ok 1 number(s): "9571"
Test #6:
score: 0
Accepted
time: 0ms
memory: 1636kb
input:
100
output:
175028
result:
ok 1 number(s): "175028"
Test #7:
score: 0
Accepted
time: 0ms
memory: 1464kb
input:
123
output:
322744
result:
ok 1 number(s): "322744"
Test #8:
score: 0
Accepted
time: 0ms
memory: 1548kb
input:
2548
output:
765669726
result:
ok 1 number(s): "765669726"
Test #9:
score: 0
Accepted
time: 0ms
memory: 1632kb
input:
12448
output:
159637196
result:
ok 1 number(s): "159637196"
Test #10:
score: 0
Accepted
time: 0ms
memory: 1636kb
input:
65535
output:
120089112
result:
ok 1 number(s): "120089112"
Test #11:
score: 0
Accepted
time: 0ms
memory: 1644kb
input:
102458
output:
475774506
result:
ok 1 number(s): "475774506"
Test #12:
score: 0
Accepted
time: 0ms
memory: 1628kb
input:
222333
output:
64337543
result:
ok 1 number(s): "64337543"
Test #13:
score: 0
Accepted
time: 0ms
memory: 1476kb
input:
485174
output:
312492357
result:
ok 1 number(s): "312492357"
Test #14:
score: 0
Accepted
time: 0ms
memory: 1460kb
input:
685479
output:
35530508
result:
ok 1 number(s): "35530508"
Test #15:
score: 0
Accepted
time: 0ms
memory: 1600kb
input:
1025481
output:
921523794
result:
ok 1 number(s): "921523794"
Test #16:
score: 0
Accepted
time: 0ms
memory: 1652kb
input:
9999999
output:
732610409
result:
ok 1 number(s): "732610409"
Test #17:
score: 0
Accepted
time: 0ms
memory: 1588kb
input:
7458658
output:
825346623
result:
ok 1 number(s): "825346623"
Test #18:
score: 0
Accepted
time: 0ms
memory: 1640kb
input:
5268475
output:
30938162
result:
ok 1 number(s): "30938162"
Test #19:
score: 0
Accepted
time: 0ms
memory: 1612kb
input:
2658478
output:
780038100
result:
ok 1 number(s): "780038100"
Test #20:
score: 0
Accepted
time: 0ms
memory: 1576kb
input:
10000000
output:
679483439
result:
ok 1 number(s): "679483439"
Test #21:
score: 0
Accepted
time: 0ms
memory: 1596kb
input:
100000000
output:
498142384
result:
ok 1 number(s): "498142384"
Test #22:
score: 0
Accepted
time: 0ms
memory: 1608kb
input:
1000000000
output:
69187994
result:
ok 1 number(s): "69187994"
Test #23:
score: 0
Accepted
time: 1ms
memory: 1632kb
input:
10000000000
output:
23566211
result:
ok 1 number(s): "23566211"
Test #24:
score: 0
Accepted
time: 3ms
memory: 1632kb
input:
100000000000
output:
247411531
result:
ok 1 number(s): "247411531"
Test #25:
score: 0
Accepted
time: 11ms
memory: 1620kb
input:
1000000000000
output:
434484365
result:
ok 1 number(s): "434484365"
Test #26:
score: 0
Accepted
time: 8ms
memory: 1476kb
input:
487456215487
output:
219915839
result:
ok 1 number(s): "219915839"
Test #27:
score: 0
Accepted
time: 2ms
memory: 1636kb
input:
123456654321
output:
873090152
result:
ok 1 number(s): "873090152"
Test #28:
score: 0
Accepted
time: 8ms
memory: 1604kb
input:
485623875512
output:
905855726
result:
ok 1 number(s): "905855726"
Test #29:
score: 0
Accepted
time: 8ms
memory: 1472kb
input:
598745632254
output:
548362077
result:
ok 1 number(s): "548362077"
Test #30:
score: 0
Accepted
time: 7ms
memory: 1576kb
input:
451518115487
output:
856104478
result:
ok 1 number(s): "856104478"