QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#132900 | #6740. Function | Nicolas125841 | WA | 198ms | 886208kb | C++17 | 1.7kb | 2023-08-01 03:51:02 | 2023-08-01 03:51:05 |
Judging History
answer
#include <bits/extc++.h>
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
// To use most b i ts rather than jus t the lowest ones :
struct chash { // large odd number for C
const uint64_t C = ll(4e18 * acos(0)) | 71;
ll operator()(ll x) const { return __builtin_bswap64(x*C); }
};
__gnu_pbds::gp_hash_table<ll,ll,chash> rdp({},{},{},{},{1<<25});
const ll mod = 998244353;
const int N = 20210926;
const int DPC = 31625;
vector<int> lp(N+1);
vector<ll> pr;
int TN;
int LB = 0;
vector<ll> dp(DPC);
void prep(){
for (int i=2; i <= N; ++i) {
if (lp[i] == 0) {
lp[i] = i;
pr.push_back(i);
}
for (int j = 0; i * pr[j] <= N; ++j) {
lp[i * pr[j]] = pr[j];
if (pr[j] == lp[i]) {
break;
}
}
}
while(pr[LB] < DPC)
LB++;
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 rec(ll n){
if(TN / n < DPC)
return dp[TN / n];
if(rdp.find(n) != rdp.end())
return rdp[n];
ll ans = 0;
for(ll v = 2; v * n < DPC; v++)
ans += rec(v * n);
for(int i = LB; i < pr.size(); i++){
if(pr[i] * n > TN)
break;
ans += rec(pr[i] * n);
}
ans %= mod;
rdp[n] = ans;
return ans;
}
int main(){
cin >> TN;
prep();
cout << rec(1) << "\n";
}
Details
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Test #1:
score: 100
Accepted
time: 191ms
memory: 885272kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 198ms
memory: 885292kb
input:
2
output:
2
result:
ok 1 number(s): "2"
Test #3:
score: 0
Accepted
time: 182ms
memory: 885232kb
input:
100
output:
949
result:
ok 1 number(s): "949"
Test #4:
score: 0
Accepted
time: 191ms
memory: 886208kb
input:
10
output:
19
result:
ok 1 number(s): "19"
Test #5:
score: 0
Accepted
time: 181ms
memory: 885196kb
input:
1000
output:
48614
result:
ok 1 number(s): "48614"
Test #6:
score: 0
Accepted
time: 189ms
memory: 885252kb
input:
10000
output:
2602393
result:
ok 1 number(s): "2602393"
Test #7:
score: -100
Wrong Answer
time: 179ms
memory: 885272kb
input:
100000
output:
139651864
result:
wrong answer 1st numbers differ - expected: '139804054', found: '139651864'