QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#451258 | #8761. 另一个计数问题 | tarjen | WA | 142ms | 113092kb | C++20 | 4.0kb | 2024-06-23 01:03:23 | 2024-06-23 01:03:24 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int mod=998244353;
const int Ny2=(mod+1)/2;
const int Ny6=166374059;
const int N=1e6+10;
namespace Min25_1{
int prime[N], id1[N], id2[N], flag[N], ncnt, m;
int g[N], sum[N], a[N], T, n;
inline void fff()
{
for(int i=0;i<N;i++){
prime[i]=0;
id1[i]=0;
id2[i]=0;
flag[i]=0;
g[i]=0;
sum[i]=0;
a[i]=0;
}
ncnt=0;
m=0;
T=0;
n=0;
}
inline int ID(int x) {
return x <= T ? id1[x] : id2[n / x];
}
inline int calc(int x) {
return x * (x + 1)%mod*Ny2%mod - 1;
}
inline int f(int x) {
return x;
}
inline void init() {
T = sqrt(n + 0.5)+10;
for (int i = 2; i <= T; i++) {
if (!flag[i]) prime[++ncnt] = i, sum[ncnt] = (sum[ncnt - 1] + i)%mod;
for (int j = 1; j <= ncnt && i * prime[j] <= T; j++) {
flag[i * prime[j]] = 1;
if (i % prime[j] == 0) break;
}
}
for (int l = 1; l <= n; l = n / (n / l) + 1) {
a[++m] = n / l;
if (a[m] <= T) id1[a[m]] = m; else id2[n / a[m]] = m;
g[m] = calc(a[m]);
}
for (int i = 1; i <= ncnt; i++)
for (int j = 1; j <= m && (int)prime[i] * prime[i] <= a[j]; j++)
g[j] = g[j] - prime[i] * (g[ID(a[j] / prime[i])] - sum[i - 1]+mod)%mod,
g[j]=(g[j]%mod+mod)%mod;
}
inline int solve(int x) {
fff();
if (x <= 1) return x;
return n = x, init(), g[ID(n)];
}
}
namespace Min25_2 {
int prime[N], id1[N], id2[N], flag[N], ncnt, m;
int g[N], sum[N], a[N], T, n;
inline void fff()
{
for(int i=0;i<N;i++){
prime[i]=0;
id1[i]=0;
id2[i]=0;
flag[i]=0;
g[i]=0;
sum[i]=0;
a[i]=0;
}
ncnt=0;
m=0;
T=0;
n=0;
}
inline int ID(int x) {
return x <= T ? id1[x] : id2[n / x];
}
inline int calc(int x) {
return x * (x + 1)%mod*(2*x+1)%mod*Ny6%mod - 1;
}
inline int f(int x) {
return x;
}
inline void init() {
T = sqrt(n + 0.5)+10;
for (int i = 2; i <= T; i++) {
if (!flag[i]) prime[++ncnt] = i, sum[ncnt] = (sum[ncnt - 1] + i*i)%mod;
for (int j = 1; j <= ncnt && i * prime[j] <= T; j++) {
flag[i * prime[j]] = 1;
if (i % prime[j] == 0) break;
}
}
for (int l = 1; l <= n; l = n / (n / l) + 1) {
a[++m] = n / l;
if (a[m] <= T) id1[a[m]] = m; else id2[n / a[m]] = m;
g[m] = calc(a[m]);
}
for (int i = 1; i <= ncnt; i++)
for (int j = 1; j <= m && (int)prime[i] * prime[i] <= a[j]; j++)
g[j] = g[j] - prime[i]*prime[i]%mod * (g[ID(a[j] / prime[i])] - sum[i - 1]+mod)%mod,
g[j]=(g[j]%mod+mod)%mod;
}
inline int solve(int x) {
fff();
if (x <= 1) return x;
return n = x, init(), g[ID(n)];
}
}
int Sum(int x){
x%=mod;
return x*(x+1)%mod*Ny2%mod;
}
int Sum2(int x){
x%=mod;
return x*(x+1)%mod*(x*2+1)%mod*Ny6%mod;
}
int S(int x){
return Min25_1::solve(x);
}
int S2(int x){
return Min25_2::solve(x);
}
bool isp(int x){
for(int i=2;i*i<=x;i++)if(x%i==0)return false;
return true;
}
signed main()
{
int n;cin>>n;
int p1=(S(n)-S(n/2)+mod)%mod;
int p2=(S2(n)-S2(n/2)+mod)%mod;
int z=(Sum(n)-1)*(Sum(n)-1)%mod;
// cout<<"z="<<z<<" p1="<<p1<<" p2="<<p2<<endl;
z=(z-(Sum(n)-1)*p1%mod-(Sum(n)-1-p1)*p1%mod+2*mod)%mod;
// cout<<"z="<<z<<endl;
z=(z+p2)%mod;
z=(z-(Sum2(n)-1)+mod)%mod;
z=z*Ny2%mod;
cout<<z;
// int ans=0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 8ms
memory: 112968kb
input:
4
output:
8
result:
ok 1 number(s): "8"
Test #2:
score: 0
Accepted
time: 3ms
memory: 113068kb
input:
5
output:
8
result:
ok 1 number(s): "8"
Test #3:
score: 0
Accepted
time: 10ms
memory: 112964kb
input:
6
output:
80
result:
ok 1 number(s): "80"
Test #4:
score: 0
Accepted
time: 7ms
memory: 113000kb
input:
7
output:
80
result:
ok 1 number(s): "80"
Test #5:
score: 0
Accepted
time: 13ms
memory: 113020kb
input:
8
output:
200
result:
ok 1 number(s): "200"
Test #6:
score: 0
Accepted
time: 7ms
memory: 112892kb
input:
9
output:
407
result:
ok 1 number(s): "407"
Test #7:
score: 0
Accepted
time: 11ms
memory: 112976kb
input:
10
output:
937
result:
ok 1 number(s): "937"
Test #8:
score: 0
Accepted
time: 12ms
memory: 112968kb
input:
79
output:
3224298
result:
ok 1 number(s): "3224298"
Test #9:
score: 0
Accepted
time: 11ms
memory: 113008kb
input:
123
output:
21077222
result:
ok 1 number(s): "21077222"
Test #10:
score: 0
Accepted
time: 7ms
memory: 113036kb
input:
158
output:
57411585
result:
ok 1 number(s): "57411585"
Test #11:
score: 0
Accepted
time: 4ms
memory: 113072kb
input:
285
output:
605750829
result:
ok 1 number(s): "605750829"
Test #12:
score: 0
Accepted
time: 7ms
memory: 113064kb
input:
355
output:
509863120
result:
ok 1 number(s): "509863120"
Test #13:
score: 0
Accepted
time: 11ms
memory: 112884kb
input:
484
output:
311440260
result:
ok 1 number(s): "311440260"
Test #14:
score: 0
Accepted
time: 7ms
memory: 112972kb
input:
520
output:
102191845
result:
ok 1 number(s): "102191845"
Test #15:
score: 0
Accepted
time: 16ms
memory: 112972kb
input:
706
output:
300787918
result:
ok 1 number(s): "300787918"
Test #16:
score: 0
Accepted
time: 12ms
memory: 112896kb
input:
747
output:
505062591
result:
ok 1 number(s): "505062591"
Test #17:
score: 0
Accepted
time: 11ms
memory: 113036kb
input:
784
output:
181810798
result:
ok 1 number(s): "181810798"
Test #18:
score: 0
Accepted
time: 12ms
memory: 113060kb
input:
76879
output:
716166793
result:
ok 1 number(s): "716166793"
Test #19:
score: 0
Accepted
time: 7ms
memory: 112988kb
input:
209295
output:
753032272
result:
ok 1 number(s): "753032272"
Test #20:
score: 0
Accepted
time: 4ms
memory: 113064kb
input:
220895
output:
874612082
result:
ok 1 number(s): "874612082"
Test #21:
score: 0
Accepted
time: 8ms
memory: 113000kb
input:
243390
output:
68635874
result:
ok 1 number(s): "68635874"
Test #22:
score: 0
Accepted
time: 11ms
memory: 113000kb
input:
414767
output:
862578797
result:
ok 1 number(s): "862578797"
Test #23:
score: 0
Accepted
time: 15ms
memory: 112976kb
input:
431662
output:
231728766
result:
ok 1 number(s): "231728766"
Test #24:
score: 0
Accepted
time: 15ms
memory: 112892kb
input:
521130
output:
106207351
result:
ok 1 number(s): "106207351"
Test #25:
score: 0
Accepted
time: 4ms
memory: 112948kb
input:
668419
output:
580625063
result:
ok 1 number(s): "580625063"
Test #26:
score: 0
Accepted
time: 11ms
memory: 112940kb
input:
700378
output:
790849562
result:
ok 1 number(s): "790849562"
Test #27:
score: 0
Accepted
time: 12ms
memory: 112936kb
input:
965876
output:
856082142
result:
ok 1 number(s): "856082142"
Test #28:
score: 0
Accepted
time: 66ms
memory: 112976kb
input:
998244350
output:
539142456
result:
ok 1 number(s): "539142456"
Test #29:
score: 0
Accepted
time: 60ms
memory: 112884kb
input:
998244351
output:
730264865
result:
ok 1 number(s): "730264865"
Test #30:
score: 0
Accepted
time: 59ms
memory: 113092kb
input:
998244352
output:
326703895
result:
ok 1 number(s): "326703895"
Test #31:
score: 0
Accepted
time: 81ms
memory: 113072kb
input:
998244353
output:
326703895
result:
ok 1 number(s): "326703895"
Test #32:
score: 0
Accepted
time: 73ms
memory: 113076kb
input:
998244354
output:
730264864
result:
ok 1 number(s): "730264864"
Test #33:
score: 0
Accepted
time: 68ms
memory: 112972kb
input:
998244355
output:
539142451
result:
ok 1 number(s): "539142451"
Test #34:
score: 0
Accepted
time: 61ms
memory: 113036kb
input:
998244356
output:
751581014
result:
ok 1 number(s): "751581014"
Test #35:
score: 0
Accepted
time: 99ms
memory: 113052kb
input:
2165916141
output:
216013547
result:
ok 1 number(s): "216013547"
Test #36:
score: -100
Wrong Answer
time: 142ms
memory: 112884kb
input:
3550627266
output:
694331946
result:
wrong answer 1st numbers differ - expected: '318019384', found: '694331946'