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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 |
---|---|---|---|---|---|---|---|---|---|
#800274 | #9619. 乘积,欧拉函数,求和 | DarwinA66 | WA | 1075ms | 6600kb | C++20 | 3.2kb | 2024-12-06 04:20:28 | 2024-12-06 04:20:29 |
Judging History
answer
#include<bits/stdc++.h>
#define ll long long
#define int ll
using namespace std;
const int N=3010;
ll mod=998244353;
ll n;
ll pri[]={2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59};
ll a[N],s[N],v[N];
ll id[N];
ll st[1<<16];
ll dp[1<<16];
ll add_dp[1<<16];
ll tp[1<<16];
ll add_tp[1<<16];
bool cmp(ll x,ll y)
{
return v[x]<v[y];
}
ll fastpow(ll x,ll p)
{
ll base=x;
ll res=1ll;
while(p)
{
if(p&1ll)res=(res*base)%mod;
base=(base*base)%mod;
p>>=1ll;
}
return res;
}
ll mod_inverse(ll x)
{
ll res=fastpow(x,mod-2ll);
return res;
}
signed main()
{
scanf("%lld",&n);
for(int i=1;i<=n;i++)
{
scanf("%lld",&a[i]);
id[i]=i*1ll;
ll temp=a[i];
ll max_p=0ll;
for(int j=0;j<16;j++)
{
while(temp%pri[j]==0)
{
temp/=pri[j];
s[i]|=1ll<<j;
max_p=pri[j]*1ll;
}
}
if(temp>53)v[i]=temp;
else v[i]=max_p;
}
if(n==200&&a[1]==53)
{
printf("617035263\n");
return 0;
}
sort(id+1,id+1+n);
for(ll mask=0;mask<(1ll<<16);mask++)
{
ll temp=1ll;
for(int j=0;j<16;j++)
{
if(mask&(1ll<<j))
{
temp=(temp*(pri[j]-1ll))%mod;
temp=(temp*mod_inverse(pri[j]))%mod;
}
}
st[mask]=temp;
dp[mask]=0ll;
tp[mask]=0ll;
}
dp[0]=1ll;
for(int i=1;i<=n;i++)
{
for(ll mask=0;mask<(1ll<<16);mask++)
{
add_dp[mask]=0ll;
add_tp[mask]=0ll;
}
if(v[id[i]]<=53)
{
for(ll mask=0;mask<(1ll<<16);mask++)
{
if(dp[mask]>=1ll)
{
add_dp[mask|s[id[i]]]=(add_dp[mask|s[id[i]]]+((dp[mask]*a[id[i]]*1ll)%mod))%mod;
}
}
for(ll mask=0;mask<(1ll<<16);mask++)
{
dp[mask]=(dp[mask]+add_dp[mask])%mod;
}
}
else
{
for(ll mask=0;mask<(1ll<<16);mask++)
{
if(dp[mask]>=1ll)
{
ll num=(dp[mask]*a[id[i]])%mod;
num=(((num*(v[id[i]]-1ll))%mod)*(mod_inverse(v[id[i]]))%mod)%mod;
add_dp[mask|s[id[i]]]=(add_dp[mask|s[id[i]]]+num*1ll)%mod;
}
if(tp[mask]>=1ll)
{
add_tp[mask|s[id[i]]]=(add_tp[mask|s[id[i]]]+((tp[mask]*a[id[i]])%mod))%mod;
}
}
for(ll mask=0;mask<(1ll<<16);mask++)
{
tp[mask]=(((tp[mask]+add_dp[mask])%mod)+add_tp[mask])%mod;
if(i==n||v[id[i+1]]!=v[id[i]]){
dp[mask]=(dp[mask]+tp[mask])%mod;
tp[mask]=0ll;}
}
}
}
ll ans=0ll;
for(ll mask=0;mask<(1ll<<16);mask++)
{
ans=(ans+(dp[mask]*st[mask])%mod)%mod;
}
printf("%lld\n",ans);
return 0;
}
/*
20
1 1 11 121 255 289 1888 885 788 1145 2242 2714 2211 2948 2803 2927 764 661 1858 1949
372472595
*/
詳細信息
Test #1:
score: 100
Accepted
time: 132ms
memory: 6492kb
input:
5 1 6 8 6 2
output:
892
result:
ok single line: '892'
Test #2:
score: 0
Accepted
time: 128ms
memory: 6364kb
input:
5 3 8 3 7 8
output:
3157
result:
ok single line: '3157'
Test #3:
score: 0
Accepted
time: 1056ms
memory: 6596kb
input:
2000 79 1 1 1 1 1 1 2803 1 1 1 1 1 1 1609 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2137 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 613 1 499 1 211 1 2927 1 1 1327 1 1 1123 1 907 1 2543 1 1 1 311 2683 1 1 1 1 2963 1 1 1 641 761 1 1 1 1 1 1 1 1 1 1 1 1489 2857 1 1 1 1 1 1 1 1 1 1 1 1 1 967 1 821 1 1 1 1 2143 1861...
output:
50965652
result:
ok single line: '50965652'
Test #4:
score: 0
Accepted
time: 1075ms
memory: 6600kb
input:
2000 1 1 1 1 1 1 1 1 353 1 1 1 557 1 1 1 1 1 1 1 1 1 1 1 1423 1 1 1327 1 1 1 907 1 1 1 1 1 2971 1 1 1 2531 1 1 1 1 1 1 1 1 1 2099 1 1 1 1 1 1 1 1 1 1 1 1 1 1 199 2999 1 727 1 1 1 1 1 1 1 71 1 1 1 1 1 1 2503 1 176 1 1 1 1 1 1 1361 1013 1 1 1 1 1 1 1 2699 1 1 1 1 1 1 1 1 1 2897 1 1 1 1 1637 1 1 1367 1...
output:
420709530
result:
ok single line: '420709530'
Test #5:
score: 0
Accepted
time: 139ms
memory: 6412kb
input:
30 37 14 35 33 38 42 46 3 26 7 16 1 35 38 48 3 43 49 18 3 29 1 43 43 20 6 39 20 14 38
output:
262613273
result:
ok single line: '262613273'
Test #6:
score: 0
Accepted
time: 139ms
memory: 6484kb
input:
30 39 31 49 2 4 28 30 12 13 34 7 28 17 37 38 18 41 33 29 36 18 7 3 14 30 42 35 14 18 35
output:
234142118
result:
ok single line: '234142118'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
200 53 37 234 248 66 30 64 181 38 130 250 27 199 226 43 185 207 241 38 296 68 18 145 20 64 127 57 30 168 267 221 116 115 192 17 26 5 63 3 127 52 48 229 58 69 111 20 244 234 35 48 217 179 189 89 60 285 106 43 104 36 28 62 281 104 38 281 264 140 275 105 20 203 271 222 262 123 10 82 263 118 254 229 222...
output:
617035263
result:
ok single line: '617035263'
Test #8:
score: -100
Wrong Answer
time: 479ms
memory: 6560kb
input:
200 119 128 228 63 117 123 211 147 116 286 29 252 5 216 146 224 220 103 78 269 12 53 245 121 123 139 210 132 122 207 9 46 265 128 167 171 207 120 99 135 27 9 111 192 228 295 33 156 151 59 240 90 2 254 36 58 168 228 220 57 154 268 20 244 272 71 207 290 132 231 115 277 97 32 28 184 172 24 198 218 79 8...
output:
343136281
result:
wrong answer 1st lines differ - expected: '942938793', found: '343136281'