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 |
---|---|---|---|---|---|---|---|---|---|
#234552 | #3161. Another Coin Weighing Puzzle | PhantomThreshold# | AC ✓ | 63ms | 14392kb | C++20 | 1.1kb | 2023-11-01 19:11:00 | 2023-11-01 19:11:00 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll mod=998244353;
ll ksm(ll a,ll x){
ll ret=1;
for (;x;x>>=1,a=a*a%mod) if (x&1) ret=ret*a%mod;
return ret;
}
ll inv(ll a){return ksm(a,mod-2);}
const int maxn=1000000;
bool notp[maxn+50];
int pcnt=0;
ll p[(maxn>>2)+50];
ll mu[maxn+50];
void prepare(){
notp[1]=1;
mu[1]=1;
for (int i=2;i<=maxn;i++){
if (!notp[i]){
p[++pcnt]=i;
mu[i]=mod-1;
}
for (int j=1,x=1;j<=pcnt && (x=i*p[j])<=maxn;j++){
notp[x]=1;
if (i%p[j]){
mu[x]=mod-mu[i];
}
else{
mu[x]=0;
break;
}
}
}
// for (int i=1;i<=maxn;i++) assert(0<=mu[i] && mu[i]<=mod);
}
int main(){
ios_base::sync_with_stdio(false);
prepare();
/*
for (int i=1;i<=20;i++) cerr << p[i] << " ";
cerr << endl;
for (int i=1;i<=20;i++) cerr << mu[i] << " ";
cerr << endl;
*/
ll m,k;
cin >> m >> k;
ll ans=1;
for (ll i=1;i<=k;i++){
ans=(ans+mu[i]*(ksm(k/i*2+1,m)+mod-1))%mod;
}
// ans=(ans+mod-1)*ksm(2,m)%mod;
// ans=(ans+ksm(3,m))%mod;
cout << ans << "\n";
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 3ms
memory: 14392kb
input:
2 1
output:
9
result:
ok single line: '9'
Test #2:
score: 0
Accepted
time: 3ms
memory: 13080kb
input:
2 2
output:
17
result:
ok single line: '17'
Test #3:
score: 0
Accepted
time: 6ms
memory: 13100kb
input:
10000 10000
output:
689223145
result:
ok single line: '689223145'
Test #4:
score: 0
Accepted
time: 6ms
memory: 13508kb
input:
9999 31
output:
986106162
result:
ok single line: '986106162'
Test #5:
score: 0
Accepted
time: 3ms
memory: 14324kb
input:
57 9817
output:
447253096
result:
ok single line: '447253096'
Test #6:
score: 0
Accepted
time: 6ms
memory: 13564kb
input:
501 499
output:
247755220
result:
ok single line: '247755220'
Test #7:
score: 0
Accepted
time: 15ms
memory: 13080kb
input:
97424 174829
output:
964884269
result:
ok single line: '964884269'
Test #8:
score: 0
Accepted
time: 7ms
memory: 14292kb
input:
11 13
output:
729153057
result:
ok single line: '729153057'
Test #9:
score: 0
Accepted
time: 16ms
memory: 13068kb
input:
200000 200000
output:
803771125
result:
ok single line: '803771125'
Test #10:
score: 0
Accepted
time: 6ms
memory: 13296kb
input:
199999 562
output:
865836540
result:
ok single line: '865836540'
Test #11:
score: 0
Accepted
time: 9ms
memory: 13076kb
input:
3539 189423
output:
530738158
result:
ok single line: '530738158'
Test #12:
score: 0
Accepted
time: 11ms
memory: 13136kb
input:
198324 173852
output:
963717515
result:
ok single line: '963717515'
Test #13:
score: 0
Accepted
time: 7ms
memory: 13020kb
input:
1 1
output:
3
result:
ok single line: '3'
Test #14:
score: 0
Accepted
time: 63ms
memory: 13788kb
input:
1000000 1000000
output:
800590912
result:
ok single line: '800590912'
Test #15:
score: 0
Accepted
time: 41ms
memory: 13016kb
input:
5034 999999
output:
946555033
result:
ok single line: '946555033'
Test #16:
score: 0
Accepted
time: 3ms
memory: 14256kb
input:
999998 2042
output:
713878368
result:
ok single line: '713878368'