QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#252373#6740. Functionucup-team191#AC ✓90ms14740kbC++141.5kb2023-11-15 18:55:432023-11-15 18:55:43

Judging History

你现在查看的是最新测评结果

  • [2023-11-15 18:55:43]
  • 评测
  • 测评结果:AC
  • 用时:90ms
  • 内存:14740kb
  • [2023-11-15 18:55:43]
  • 提交

answer

#include <bits/stdc++.h>
#define x first
#define y second
using namespace std;
using ll=long long;
using pii=pair<int,int>;
using vi=vector<int>;
using vl=vector<ll>;
#define pb push_back
#define all(a) begin(a),end(a)

const int N=3000010,MOD=998244353;
const char en='\n';
const ll LLINF=1ll<<60;

void ad(int&a,int b)
{
	a+=b;
	if (a>=MOD) a-=MOD;
}

inline int add(int A, int B) {
	if(A + B >= MOD) return A + B - MOD;
	return A + B;
}

inline int sub(int A, int B) {
	if(A - B < 0) return A - B + MOD;
	return A - B;
}

inline int mul(int A, int B) {
	return (long long)A * B % MOD;
}

int n,getInd[N];
vi vals;
vi dp;

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin>>n;
	for (int i=1;i*i<=n;++i) vals.pb(i),vals.pb(n/i);
	sort(all(vals));
	vals.erase(unique(all(vals)),vals.end());
	unordered_map<int,int> um;
	for (int i=0;i<(int)vals.size();++i) if (vals[i]<N) getInd[vals[i]]=i;
	else um[vals[i]]=i;
	for (int i=0;i<(int)vals.size();++i)
	{
		int cu=vals[i],an=1,lo=1,hi=1;
		if (cu>1) for (int j=1;j*j<=cu;++j)
		{
			//floor(cu/x)=j
			lo=cu/(j+1)+1,hi=cu/j;
			hi=min(hi,20210926);
			lo=max(lo,2);
			if (lo>hi) continue;
			//cout<<cu<<' '<<lo<<' '<<hi<<' '<<j<<endl;
			ad(an,mul(hi-lo+1,dp[getInd[j]]));
		}
		for (int j=2;j<lo;++j)
		{
			int uz=cu/j,in;
			if (uz<N) in=getInd[uz];
			else in=um[uz];
			//cout<<uz<<' '<<in<<' '<<dp[in]<<en;
			ad(an,dp[in]);
		}
		//cout<<cu<<' '<<an<<en;
		dp.pb(an);
	}
	cout<<dp.back()<<en;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3420kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3480kb

input:

2

output:

2

result:

ok 1 number(s): "2"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3408kb

input:

100

output:

949

result:

ok 1 number(s): "949"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3372kb

input:

10

output:

19

result:

ok 1 number(s): "19"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3404kb

input:

1000

output:

48614

result:

ok 1 number(s): "48614"

Test #6:

score: 0
Accepted
time: 1ms
memory: 3392kb

input:

10000

output:

2602393

result:

ok 1 number(s): "2602393"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3540kb

input:

100000

output:

139804054

result:

ok 1 number(s): "139804054"

Test #8:

score: 0
Accepted
time: 2ms
memory: 7784kb

input:

1000000

output:

521718285

result:

ok 1 number(s): "521718285"

Test #9:

score: 0
Accepted
time: 4ms
memory: 8368kb

input:

10000000

output:

503104917

result:

ok 1 number(s): "503104917"

Test #10:

score: 0
Accepted
time: 17ms
memory: 5908kb

input:

100000000

output:

198815604

result:

ok 1 number(s): "198815604"

Test #11:

score: 0
Accepted
time: 90ms
memory: 10316kb

input:

1000000000

output:

373787809

result:

ok 1 number(s): "373787809"

Test #12:

score: 0
Accepted
time: 86ms
memory: 10288kb

input:

999999999

output:

997616263

result:

ok 1 number(s): "997616263"

Test #13:

score: 0
Accepted
time: 86ms
memory: 10528kb

input:

999999990

output:

997615701

result:

ok 1 number(s): "997615701"

Test #14:

score: 0
Accepted
time: 86ms
memory: 10436kb

input:

999999900

output:

993928691

result:

ok 1 number(s): "993928691"

Test #15:

score: 0
Accepted
time: 86ms
memory: 13200kb

input:

999999000

output:

754532207

result:

ok 1 number(s): "754532207"

Test #16:

score: 0
Accepted
time: 90ms
memory: 14740kb

input:

999990000

output:

996592686

result:

ok 1 number(s): "996592686"

Test #17:

score: 0
Accepted
time: 86ms
memory: 11980kb

input:

999900000

output:

311678722

result:

ok 1 number(s): "311678722"

Test #18:

score: 0
Accepted
time: 89ms
memory: 12172kb

input:

999000000

output:

60462624

result:

ok 1 number(s): "60462624"

Test #19:

score: 0
Accepted
time: 86ms
memory: 12168kb

input:

990000000

output:

444576800

result:

ok 1 number(s): "444576800"

Test #20:

score: 0
Accepted
time: 83ms
memory: 11700kb

input:

900000000

output:

95615129

result:

ok 1 number(s): "95615129"

Test #21:

score: 0
Accepted
time: 0ms
memory: 7876kb

input:

1361956

output:

813433539

result:

ok 1 number(s): "813433539"

Test #22:

score: 0
Accepted
time: 4ms
memory: 10104kb

input:

7579013

output:

677659797

result:

ok 1 number(s): "677659797"

Test #23:

score: 0
Accepted
time: 0ms
memory: 11916kb

input:

8145517

output:

801509527

result:

ok 1 number(s): "801509527"

Test #24:

score: 0
Accepted
time: 0ms
memory: 10236kb

input:

6140463

output:

869023935

result:

ok 1 number(s): "869023935"

Test #25:

score: 0
Accepted
time: 3ms
memory: 10012kb

input:

3515281

output:

989091505

result:

ok 1 number(s): "989091505"

Test #26:

score: 0
Accepted
time: 4ms
memory: 10176kb

input:

6969586

output:

539840131

result:

ok 1 number(s): "539840131"