QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#406146 | #8228. 排序 | Eric_cai | 100 ✓ | 1519ms | 174720kb | C++14 | 1.9kb | 2024-05-06 21:06:21 | 2024-05-06 21:06:34 |
Judging History
answer
#include<bits/stdc++.h>
#define ll long long
using namespace std;
const int mod=1e9+7;
vector<int> vec[(int)(3e6+5)];
int zt[int(3e6+5)],sz[105][105],z[105][105],mul[105],d[105],lst[105][105];
int n,m,num,p[1<<15],f[(int)(3e6+5)],g[(int)(3e6+5)];
int lowbit(int x)
{
return x&(-x);
}
int pct(int x)
{
return p[x&((1<<15)-1)]+p[x>>15];
}
int ps[105][105][105],suf[105][105];
int main()
{
int s,add,pos,t[105],x;
cin>>n>>m;
for(int i=1;i<=m;i++) cin>>d[i];
for(int i=1;i<=m;i++)
{
for(int j=0;j<n;j++)
{
lst[i][j%d[i]]=j,ps[i][j%d[i]][++sz[i][j%d[i]]]=j;
for(int k=j;k<n;k+=d[i]) suf[i][j]|=(1<<k);
for(int k=j%d[i];k<=j;k+=d[i]) z[i][j]|=(1<<k);
}
}
for(int i=1;i<=m;i++)
for(int j=0;j<d[i];j++) ps[i][j][sz[i][j]+1]=n;
for(int i=1;i<(1<<15);i++) p[i]=p[i^lowbit(i)]+1;
mul[0]=1;
for(int i=1;i<d[1];i++) mul[i]=mul[i-1]*(sz[1][i-1]+1);
for(int i=0;i<d[1];i++) num+=mul[i]*sz[1][i];
for(int i=0;i<=num;i++)
{
s=i;
for(int j=0;j<d[1];j++)
{
for(int k=0;k<s%(sz[1][j]+1);k++) zt[i]|=(1<<(k*d[1]+j));
vec[i].push_back(s%(sz[1][j]+1));
s/=(sz[1][j]+1);
}
}
g[0]=1;
for(int i=0;i<=num;i++)
{
// cout<<zt[i]<<' '<<f[i]<<' '<<g[i]<<'\n';
t[0]=zt[i];
for(int j=1;j<=m;j++)
{
t[j]=t[j-1];
for(int k=0;k<d[j];k++)
{
x=t[j]&z[j][lst[j][k]];
t[j]^=x^suf[j][ps[j][k][sz[j][k]-pct(x)+1]];
}
}
for(int j=0;j<d[1];j++)
{
if(vec[i][j]==sz[1][j]) continue;
add=0,s=zt[i],pos=vec[i][j]*d[1]+j;
for(int k=1;k<=m;k++)
{
add+=pct(s&z[k][pos]);
//cout<<zt[i]<<' '<<s<<' '<<k<<' '<<pos<<' '<<add<<'\n';
pos=ps[k][pos%d[k]][sz[k][pos%d[k]]-pct(s&z[k][lst[k][pos%d[k]]])];
s=t[k];
}
if(f[i+mul[j]]<f[i]+add)
{
f[i+mul[j]]=f[i]+add;
g[i+mul[j]]=g[i];
}
else if(f[i+mul[j]]==f[i]+add) g[i+mul[j]]=(g[i]+g[i+mul[j]])%mod;
}
}
cout<<f[num]<<' '<<g[num]<<'\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 18
Accepted
Test #1:
score: 18
Accepted
time: 11ms
memory: 78248kb
input:
2 2 2 1
output:
1 1
result:
ok 2 number(s): "1 1"
Test #2:
score: 18
Accepted
time: 3ms
memory: 78300kb
input:
5 4 5 4 2 1
output:
6 4
result:
ok 2 number(s): "6 4"
Test #3:
score: 18
Accepted
time: 14ms
memory: 81032kb
input:
8 4 6 3 2 1
output:
15 4
result:
ok 2 number(s): "15 4"
Test #4:
score: 18
Accepted
time: 12ms
memory: 78392kb
input:
8 6 8 7 5 4 2 1
output:
14 2
result:
ok 2 number(s): "14 2"
Test #5:
score: 18
Accepted
time: 11ms
memory: 79452kb
input:
8 3 8 7 1
output:
22 7
result:
ok 2 number(s): "22 7"
Test #6:
score: 18
Accepted
time: 7ms
memory: 78004kb
input:
8 1 1
output:
28 1
result:
ok 2 number(s): "28 1"
Subtask #2:
score: 27
Accepted
Dependency #1:
100%
Accepted
Test #7:
score: 27
Accepted
time: 16ms
memory: 79892kb
input:
16 2 6 1
output:
77 15
result:
ok 2 number(s): "77 15"
Test #8:
score: 27
Accepted
time: 22ms
memory: 79228kb
input:
16 8 10 9 8 7 6 5 4 1
output:
57 5
result:
ok 2 number(s): "57 5"
Test #9:
score: 27
Accepted
time: 30ms
memory: 79164kb
input:
16 10 10 9 8 7 6 5 4 3 2 1
output:
57 3
result:
ok 2 number(s): "57 3"
Test #10:
score: 27
Accepted
time: 19ms
memory: 82528kb
input:
16 7 10 9 8 6 5 4 1
output:
49 1
result:
ok 2 number(s): "49 1"
Test #11:
score: 27
Accepted
time: 10ms
memory: 78960kb
input:
16 4 7 6 2 1
output:
52 9
result:
ok 2 number(s): "52 9"
Subtask #3:
score: 21
Accepted
Dependency #2:
100%
Accepted
Test #12:
score: 21
Accepted
time: 8ms
memory: 80008kb
input:
22 3 5 3 1
output:
100 1
result:
ok 2 number(s): "100 1"
Test #13:
score: 21
Accepted
time: 7ms
memory: 79288kb
input:
22 1 1
output:
231 1
result:
ok 2 number(s): "231 1"
Test #14:
score: 21
Accepted
time: 64ms
memory: 88584kb
input:
22 4 10 8 3 1
output:
97 4
result:
ok 2 number(s): "97 4"
Test #15:
score: 21
Accepted
time: 85ms
memory: 86640kb
input:
22 5 10 7 6 3 1
output:
92 70
result:
ok 2 number(s): "92 70"
Test #16:
score: 21
Accepted
time: 98ms
memory: 89560kb
input:
22 6 10 9 8 7 3 1
output:
97 1
result:
ok 2 number(s): "97 1"
Test #17:
score: 21
Accepted
time: 158ms
memory: 87492kb
input:
22 10 10 9 8 7 6 5 4 3 2 1
output:
109 1
result:
ok 2 number(s): "109 1"
Subtask #4:
score: 10
Accepted
Test #18:
score: 10
Accepted
time: 17ms
memory: 80448kb
input:
14 2 10 1
output:
61 210
result:
ok 2 number(s): "61 210"
Test #19:
score: 10
Accepted
time: 13ms
memory: 79876kb
input:
18 2 2 1
output:
117 1
result:
ok 2 number(s): "117 1"
Test #20:
score: 10
Accepted
time: 178ms
memory: 126728kb
input:
30 2 9 1
output:
264 84
result:
ok 2 number(s): "264 84"
Test #21:
score: 10
Accepted
time: 150ms
memory: 112944kb
input:
29 2 9 1
output:
253 36
result:
ok 2 number(s): "253 36"
Test #22:
score: 10
Accepted
time: 41ms
memory: 83896kb
input:
25 2 8 1
output:
195 8
result:
ok 2 number(s): "195 8"
Subtask #5:
score: 24
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Dependency #4:
100%
Accepted
Test #23:
score: 24
Accepted
time: 668ms
memory: 173588kb
input:
30 4 10 9 5 1
output:
188 40
result:
ok 2 number(s): "188 40"
Test #24:
score: 24
Accepted
time: 1387ms
memory: 172004kb
input:
30 9 10 9 8 7 6 5 4 3 1
output:
184 6
result:
ok 2 number(s): "184 6"
Test #25:
score: 24
Accepted
time: 1239ms
memory: 174720kb
input:
30 8 10 9 8 7 4 3 2 1
output:
154 1
result:
ok 2 number(s): "154 1"
Test #26:
score: 24
Accepted
time: 1248ms
memory: 171620kb
input:
30 8 10 8 7 6 5 4 3 1
output:
155 1
result:
ok 2 number(s): "155 1"
Test #27:
score: 24
Accepted
time: 910ms
memory: 173220kb
input:
30 6 10 8 6 4 3 1
output:
150 4
result:
ok 2 number(s): "150 4"
Test #28:
score: 24
Accepted
time: 1519ms
memory: 171364kb
input:
30 10 10 9 8 7 6 5 4 3 2 1
output:
184 6
result:
ok 2 number(s): "184 6"
Test #29:
score: 24
Accepted
time: 718ms
memory: 149420kb
input:
29 6 10 9 7 5 3 1
output:
129 200
result:
ok 2 number(s): "129 200"
Extra Test:
score: 0
Extra Test Passed