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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#714913#4634. FactorKevin5307AC ✓1306ms39064kbC++201.5kb2024-11-06 09:09:422024-11-06 09:09:43

Judging History

你现在查看的是最新测评结果

  • [2024-11-06 09:09:43]
  • 评测
  • 测评结果:AC
  • 用时:1306ms
  • 内存:39064kb
  • [2024-11-06 09:09:42]
  • 提交

answer

//Author: Kevin
#include<bits/stdc++.h>
//#pragma GCC optimize("O2")
using namespace std;
#define ll long long
#define ull unsigned ll
#define pb emplace_back
#define mp make_pair
#define ALL(x) (x).begin(),(x).end()
#define rALL(x) (x).rbegin(),(x).rend()
#define srt(x) sort(ALL(x))
#define rev(x) reverse(ALL(x))
#define rsrt(x) sort(rALL(x))
#define sz(x) (int)(x.size())
#define inf 0x3f3f3f3f
#define pii pair<int,int>
#define lb(v,x) (int)(lower_bound(ALL(v),x)-v.begin())
#define ub(v,x) (int)(upper_bound(ALL(v),x)-v.begin())
#define uni(v) v.resize(unique(ALL(v))-v.begin())
#define longer __int128_t
void die(string S){puts(S.c_str());exit(0);}
const int thres=4e6;
int isp[thres+5];
int psum[thres+5];
ll pr[thres+5];
int tot;
ll n;
ll dfs(int cur,ll C,ll S)
{
	if(pr[cur]*pr[cur]>n/C) return 0;
	if(pr[cur]>S+1) return 0;
	ll val=1;
	ll ans=0;
	for(int i=0;;i++)
	{
		ans+=dfs(cur+1,C,min(S*val,n));
		if(i>=1&&min(S*val+1,n/C)>pr[cur])
			ans+=psum[min(S*val+1,n/C)]-psum[pr[cur]];
		if(i>=2)
			ans++;
		if(C*pr[cur]>n) break;
		C*=pr[cur];
		val=val*pr[cur]+1;
	}
	return ans;
}
int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	for(int i=2;i<=thres;i++)
		isp[i]=1;
	for(int i=2;i<=thres;i++)
		for(int j=i+i;j<=thres;j+=i)
			isp[j]=0;
	for(int i=2;i<=thres;i++)
		psum[i]=psum[i-1]+isp[i];
	for(int i=2;i<=thres;i++)
		if(isp[i])
			pr[++tot]=i;
	cin>>n;
	cout<<dfs(1,1,1)+1+(n>1)<<endl;
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 127ms
memory: 37364kb

input:

10

output:

5

result:

ok single line: '5'

Test #2:

score: 0
Accepted
time: 122ms
memory: 37852kb

input:

20

output:

9

result:

ok single line: '9'

Test #3:

score: 0
Accepted
time: 132ms
memory: 38520kb

input:

50

output:

17

result:

ok single line: '17'

Test #4:

score: 0
Accepted
time: 126ms
memory: 38520kb

input:

6

output:

4

result:

ok single line: '4'

Test #5:

score: 0
Accepted
time: 122ms
memory: 38804kb

input:

87

output:

26

result:

ok single line: '26'

Test #6:

score: 0
Accepted
time: 130ms
memory: 37384kb

input:

609

output:

130

result:

ok single line: '130'

Test #7:

score: 0
Accepted
time: 135ms
memory: 38000kb

input:

5126

output:

806

result:

ok single line: '806'

Test #8:

score: 0
Accepted
time: 159ms
memory: 37128kb

input:

92180

output:

10905

result:

ok single line: '10905'

Test #9:

score: 0
Accepted
time: 132ms
memory: 38788kb

input:

984096

output:

95960

result:

ok single line: '95960'

Test #10:

score: 0
Accepted
time: 131ms
memory: 37828kb

input:

5744387

output:

494209

result:

ok single line: '494209'

Test #11:

score: 0
Accepted
time: 124ms
memory: 37428kb

input:

51133311

output:

3851066

result:

ok single line: '3851066'

Test #12:

score: 0
Accepted
time: 167ms
memory: 38964kb

input:

607519174

output:

40319008

result:

ok single line: '40319008'

Test #13:

score: 0
Accepted
time: 168ms
memory: 38636kb

input:

7739876803

output:

456270136

result:

ok single line: '456270136'

Test #14:

score: 0
Accepted
time: 294ms
memory: 37508kb

input:

80754680817

output:

4304423738

result:

ok single line: '4304423738'

Test #15:

score: 0
Accepted
time: 1306ms
memory: 37480kb

input:

1000000000000

output:

48366248808

result:

ok single line: '48366248808'

Test #16:

score: 0
Accepted
time: 648ms
memory: 39064kb

input:

300000000000

output:

15176932897

result:

ok single line: '15176932897'

Test #17:

score: 0
Accepted
time: 819ms
memory: 38060kb

input:

500000000000

output:

24808936807

result:

ok single line: '24808936807'

Test #18:

score: 0
Accepted
time: 1004ms
memory: 38656kb

input:

700000000000

output:

34300642547

result:

ok single line: '34300642547'

Test #19:

score: 0
Accepted
time: 1084ms
memory: 38124kb

input:

790673894439

output:

38570752521

result:

ok single line: '38570752521'