QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#855539 | #8228. 排序 | Meatherm | 100 ✓ | 2716ms | 47748kb | C++14 | 2.1kb | 2025-01-12 23:00:19 | 2025-01-12 23:00:26 |
Judging History
answer
# include <bits/stdc++.h>
const int N=35,INF=0x3f3f3f3f,mod=1e9+7;
inline int read(void){
int res,f=1;
char c;
while((c=getchar())<'0'||c>'9')
if(c=='-') f=-1;
res=c-48;
while((c=getchar())>='0'&&c<='9')
res=res*10+c-48;
return res*f;
}
int n,m,d[N];
inline int adc(int a,int b){
return (a+b>=mod)?(a+b-mod):(a+b);
}
struct Node{
int mx,sum;
Node(int _a=0,int _b=0): mx(_a),sum(_b) {}
inline Node operator + (const Node &rhs) const{
if(mx<rhs.mx) return rhs;
else if(mx>rhs.mx) return *this;
return Node(mx,adc(sum,rhs.sum));
}
};
std::unordered_map <int,Node> f;
// f[S]: 固定了 S 中元素的情况下, 产生逆序对的最大值, 以及方案数
// 从大到小加入元素
std::queue <int> q;
int t[N][N];
int suf[N][N][N];
int pre[N][N][N];
inline void calc(int s,int pos){
assert(((s>>pos)&1)==0);
int nw=0,t=s|(1<<pos);
int cur=s;
for(int i=1;i<=m;++i){
int d=::d[i],npos=0,nex=0;
for(int p=0;p<d;++p){
if(pos%d==p) nw+=__builtin_popcount(pre[d][p][pos/d]&cur);
int cnt=__builtin_popcount(::t[d][p]&cur); nex|=suf[d][p][cnt];
if(pos%d==p) npos=p+(n-1-p)/d*d-cnt*d;
}
pos=npos,cur=nex;
// printf("nw = %d pos = %d\n",nw,pos);
// for(int i=0;i<n;++i) printf("%d ",v[i]); puts("");
}
// printf("%d -> %d = %d\n",s,t,f[s].mx+nw);
if(f.count(t)) f[t]=Node(f[s].mx+nw,f[s].sum)+f[t];
else f[t]=Node(f[s].mx+nw,f[s].sum),q.push(t);
return;
}
int main(void){
n=read(),m=read();
for(int i=1;i<=m;++i) d[i]=read();
for(int d=1;d<=n;++d){
for(int x=0,y,c;x<d;++x){
for(y=x,c=1;y<n;y+=d,++c) t[d][x]|=(1<<y),pre[d][x][c]=pre[d][x][c-1]|(1<<y);
for(y-=d,c=1;y>=0;y-=d,++c) suf[d][x][c]=suf[d][x][c-1]|(1<<y);
}
}
q.push(0); f[0]=Node(0,1);
while(!q.empty()){
int s=q.front();
// printf("s = %d (mx = %d val = %d)\n",s,f[s].mx,f[s].sum);
// for(int i=0;i<n;++i) printf("%d",(s>>i)&1);
// puts("\n");
q.pop();
for(int p=0;p<d[1];++p){
for(int x=p;x<n;x+=d[1]){
if(((s>>x)&1)==0){
calc(s,x);
break;
}
}
}
}
printf("%d %d",f[(1<<n)-1].mx,f[(1<<n)-1].sum);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 18
Accepted
Test #1:
score: 18
Accepted
time: 0ms
memory: 3836kb
input:
2 2 2 1
output:
1 1
result:
ok 2 number(s): "1 1"
Test #2:
score: 18
Accepted
time: 0ms
memory: 3752kb
input:
5 4 5 4 2 1
output:
6 4
result:
ok 2 number(s): "6 4"
Test #3:
score: 18
Accepted
time: 1ms
memory: 4132kb
input:
8 4 6 3 2 1
output:
15 4
result:
ok 2 number(s): "15 4"
Test #4:
score: 18
Accepted
time: 1ms
memory: 3880kb
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: 1ms
memory: 3936kb
input:
8 3 8 7 1
output:
22 7
result:
ok 2 number(s): "22 7"
Test #6:
score: 18
Accepted
time: 1ms
memory: 3844kb
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: 0ms
memory: 4300kb
input:
16 2 6 1
output:
77 15
result:
ok 2 number(s): "77 15"
Test #8:
score: 27
Accepted
time: 19ms
memory: 4420kb
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: 21ms
memory: 4312kb
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: 17ms
memory: 4384kb
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: 3ms
memory: 4020kb
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: 0ms
memory: 4100kb
input:
22 3 5 3 1
output:
100 1
result:
ok 2 number(s): "100 1"
Test #13:
score: 21
Accepted
time: 1ms
memory: 4032kb
input:
22 1 1
output:
231 1
result:
ok 2 number(s): "231 1"
Test #14:
score: 21
Accepted
time: 104ms
memory: 8184kb
input:
22 4 10 8 3 1
output:
97 4
result:
ok 2 number(s): "97 4"
Test #15:
score: 21
Accepted
time: 109ms
memory: 8056kb
input:
22 5 10 7 6 3 1
output:
92 70
result:
ok 2 number(s): "92 70"
Test #16:
score: 21
Accepted
time: 153ms
memory: 8132kb
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: 218ms
memory: 8104kb
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: 3ms
memory: 4068kb
input:
14 2 10 1
output:
61 210
result:
ok 2 number(s): "61 210"
Test #19:
score: 10
Accepted
time: 1ms
memory: 4036kb
input:
18 2 2 1
output:
117 1
result:
ok 2 number(s): "117 1"
Test #20:
score: 10
Accepted
time: 376ms
memory: 25028kb
input:
30 2 9 1
output:
264 84
result:
ok 2 number(s): "264 84"
Test #21:
score: 10
Accepted
time: 289ms
memory: 22796kb
input:
29 2 9 1
output:
253 36
result:
ok 2 number(s): "253 36"
Test #22:
score: 10
Accepted
time: 40ms
memory: 6628kb
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: 1569ms
memory: 47748kb
input:
30 4 10 9 5 1
output:
188 40
result:
ok 2 number(s): "188 40"
Test #24:
score: 24
Accepted
time: 2622ms
memory: 47544kb
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: 2349ms
memory: 47704kb
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: 2348ms
memory: 47576kb
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: 1881ms
memory: 47572kb
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: 2716ms
memory: 47632kb
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: 1411ms
memory: 42880kb
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