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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#363054 | #8228. 排序 | XY_Eleven | 100 ✓ | 3142ms | 503888kb | C++23 | 5.3kb | 2024-03-23 18:07:22 | 2024-03-23 18:07:23 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
//#pragma GCC optimize(3)
#define DB double
#define LL long long
#define ULL unsigned long long
#define in128 __int128
#define cint const int
#define cLL const LL
#define For(z,e1,e2) for(int z=(e1);z<=(e2);z++)
#define Rof(z,e1,e2) for(int z=(e2);z>=(e1);z--)
#define For_(z,e1,e2) for(int z=(e1);z<(e2);z++)
#define Rof_(z,e1,e2) for(int z=(e2);z>(e1);z--)
#define inint(e) scanf("%d",&e)
#define inll(e) scanf("%lld",&e)
#define inpr(e1,e2) scanf("%d%d",&e1,&e2)
#define in3(e1,e2,e3) scanf("%d%d%d",&e1,&e2,&e3)
#define outint(e) printf("%d\n",e)
#define outint_(e) printf("%d%c",e," \n"[i==n])
#define outint2_(e,e1,e2) printf("%d%c",e," \n"[(e1)==(e2)])
#define outll(e) printf("%lld\n",e)
#define outll_(e) printf("%lld%c",e," \n"[i==n])
#define outll2_(e,e1,e2) printf("%lld%c",e," \n"[(e1)==(e2)])
#define exc(e) if(e) continue
#define stop(e) if(e) break
#define ret(e) if(e) return
#define ll(e) (1ll*(e))
#define pb push_back
#define ft first
#define sc second
#define clean(e) while(!e.empty()) e.pop()
#define all(ev) ev.begin(),ev.end()
#define sz(ev) ((int)ev.size())
#define debug(x) printf("%s=%d\n",#x,x)
#define x0 _x0_
#define y1 _y1_
#define ffo fflush(stdout)
cLL mod=998244353,G=404;
template <typename Type> void get_min(Type &w1,const Type w2) { if(w2<w1) w1=w2; }
template <typename Type> void get_max(Type &w1,const Type w2) { if(w2>w1) w1=w2; }
template <typename Type> Type up_div(Type w1,Type w2) { return (w1/w2+(w1%w2?1:0)); }
template <typename Type> Type gcd(Type X_,Type Y_) { Type R_=X_%Y_; while(R_) { X_=Y_; Y_=R_; R_=X_%Y_; } return Y_; }
template <typename Type> Type lcm(Type X_,Type Y_) { return (X_/gcd(X_,Y_)*Y_); }
template <typename Type> Type md(Type w1,const Type w2=mod) { w1%=w2; if(w1<0) w1+=w2; return w1; }
template <typename Type> Type md_(Type w1,const Type w2=mod) { w1%=w2; if(w1<=0) w1+=w2; return w1; }
void ex_gcd(LL &X_,LL &Y_,LL A_,LL B_)
{ if(!B_) { X_=1ll; Y_=0ll; return ; } ex_gcd(Y_,X_,B_,A_%B_); X_=md(X_,B_); Y_=(1ll-X_*A_)/B_; }
LL inv(LL A_,LL B_=mod) { LL X_=0ll,Y_=0ll; ex_gcd(X_,Y_,A_,B_); return X_; }
template <typename Type> void add(Type &w1,const Type w2,const Type M_=mod) { w1=md(w1+w2,M_); }
void mul(LL &w1,cLL w2,cLL M_=mod) { w1=md(w1*md(w2,M_),M_); }
template <typename Type> Type pw(Type X_,Type Y_,Type M_=mod) { Type S_=1; while(Y_) { if(Y_&1) mul(S_,X_,M_); Y_>>=1; mul(X_,X_,M_); } return S_; }
cint N=32,N_=30,M=12,P=7.02e6;
int n,m,m_,p;
int a[M];
vector <int> v;
#define ar array <int,N_>
vector <ar> g;
bool b[N];
void dfs(int f,int k)
{
if(k>=n) return (void)(v.pb(f));
if(k<a[m_]||(k>=a[m_]&&b[k-a[m_]])) b[k]=true,dfs(f|(1<<k),k+1);
b[k]=false,dfs(f,k+1);
}
void dfs2(int f,int k)
{
if(k>=n) return (void)(v.pb(f));
if(k<a[m_]||(k>=a[m_]&&!b[k-a[m_]])) b[k]=false,dfs2(f,k+1);
b[k]=true,dfs2(f|(1<<k),k+1);
}
int c[N],mx[N];
unordered_map <int,ar> fun,fun2;
ar work(int w,int k)
{
if(k>m)
{
ar t;
For_(i,0,n) t[i]=0;
return (fun[w]=t);
}
int w2=w;
For_(i,0,n)
{
exc(!(w2>>i&1));
int i2=i;
while(i2>=a[k]&&!(w2>>(i2-a[k])&1))
{
w2^=(1<<i2-a[k])|(1<<i2);
i2-=a[k];
}
}
ar t;
auto t2=fun2[k==m?0:w2];
int cnt=0;
For_(i,0,n) c[i]=((w>>i&1)?i+1:0),t[i]=0;
For(i,0,n-1)
{
for(int i2=i;i2>=a[k];i2-=a[k])
{
if(c[i2]>c[i2-a[k]])
{
if(!c[i2-a[k]]) t[c[i2]-1]++;
swap(c[i2],c[i2-a[k]]);
}
else break;
}
}
For_(i,0,a[k]) mx[i]=0;
For_(i,0,n) if(c[i]) mx[i%a[k]]=t2[i];
For_(i,0,n) if(c[i]) t[c[i]-1]+=mx[i%a[k]];
return (fun[w]=t);
}
int f[P],dp[P];
unordered_map <int,int> mp;
void main_solve()
{
inpr(n,m);
For(i,1,m) inint(a[i]);
for(m_=m;m_>=1;m_--)
{
fun2.clear();
swap(fun,fun2);
v.clear();
dfs(0,0);
sort(all(v));
// printf("m_=%d\n",m_);
// for(auto i:v) printf("%d ",i);
// printf("\n");
for(auto i:v) work(i,m_+1);
}
fun2.clear();
swap(fun,fun2);
v.clear();
m_=1;
dfs2(0,0);
sort(all(v));
for(auto i:v) g.pb(work(i,1));
p=0; for(auto i:v) mp[i]=p++;
memset(f,0xc0,p*sizeof(int));
memset(dp,0,p*sizeof(int));
f[0]=0,dp[0]=1;
For_(i,0,p)
{
int t=v[i];
For_(j,0,n)
{
exc((t>>j&1)||mp.find(t|(1<<j))==mp.end());
int i2=mp[t|(1<<j)];
int c=f[i]+g[i2][j];
exc(c<f[i2]);
if(c==f[i2]) add(dp[i2],dp[i]);
else dp[i2]=dp[i];
f[i2]=c;
}
}
/*For_(i,0,p)
{
For_(j,0,n) printf("%d",v[i]>>j&1);
printf(": %d %d\n> ",f[i],dp[i]);
for(auto j:g[i]) printf("%d ",j);
printf("\n");
}*/
printf("%d %d\n",f[p-1],dp[p-1]);
}
int main()
{
// ios::sync_with_stdio(0); cin.tie(0);
// freopen("in.txt","r",stdin);
// freopen("out1.txt","w",stdout);
// rsand(time(NULL));
// main_init();
// int _; inint(_); For(__,1,_) // T>1 ?
// printf("\n------------\n\n"),
main_solve();
return 0;
}
/*
2 2 2 1 1
*/
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 18
Accepted
Test #1:
score: 18
Accepted
time: 1ms
memory: 5896kb
input:
2 2 2 1
output:
1 1
result:
ok 2 number(s): "1 1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5988kb
input:
5 4 5 4 2 1
output:
6 4
result:
ok 2 number(s): "6 4"
Test #3:
score: 0
Accepted
time: 1ms
memory: 6284kb
input:
8 4 6 3 2 1
output:
15 4
result:
ok 2 number(s): "15 4"
Test #4:
score: 0
Accepted
time: 1ms
memory: 6012kb
input:
8 6 8 7 5 4 2 1
output:
14 2
result:
ok 2 number(s): "14 2"
Test #5:
score: 0
Accepted
time: 1ms
memory: 6016kb
input:
8 3 8 7 1
output:
22 7
result:
ok 2 number(s): "22 7"
Test #6:
score: 0
Accepted
time: 1ms
memory: 6192kb
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: 6956kb
input:
16 2 6 1
output:
77 15
result:
ok 2 number(s): "77 15"
Test #8:
score: 0
Accepted
time: 20ms
memory: 11144kb
input:
16 8 10 9 8 7 6 5 4 1
output:
57 5
result:
ok 2 number(s): "57 5"
Test #9:
score: 0
Accepted
time: 20ms
memory: 11108kb
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: 0
Accepted
time: 14ms
memory: 11108kb
input:
16 7 10 9 8 6 5 4 1
output:
49 1
result:
ok 2 number(s): "49 1"
Test #11:
score: 0
Accepted
time: 6ms
memory: 7256kb
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: 7480kb
input:
22 3 5 3 1
output:
100 1
result:
ok 2 number(s): "100 1"
Test #13:
score: 0
Accepted
time: 1ms
memory: 5908kb
input:
22 1 1
output:
231 1
result:
ok 2 number(s): "231 1"
Test #14:
score: 0
Accepted
time: 169ms
memory: 55700kb
input:
22 4 10 8 3 1
output:
97 4
result:
ok 2 number(s): "97 4"
Test #15:
score: 0
Accepted
time: 158ms
memory: 58584kb
input:
22 5 10 7 6 3 1
output:
92 70
result:
ok 2 number(s): "92 70"
Test #16:
score: 0
Accepted
time: 204ms
memory: 58028kb
input:
22 6 10 9 8 7 3 1
output:
97 1
result:
ok 2 number(s): "97 1"
Test #17:
score: 0
Accepted
time: 208ms
memory: 56632kb
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: 5ms
memory: 8128kb
input:
14 2 10 1
output:
61 210
result:
ok 2 number(s): "61 210"
Test #19:
score: 0
Accepted
time: 1ms
memory: 6024kb
input:
18 2 2 1
output:
117 1
result:
ok 2 number(s): "117 1"
Test #20:
score: 0
Accepted
time: 1214ms
memory: 249644kb
input:
30 2 9 1
output:
264 84
result:
ok 2 number(s): "264 84"
Test #21:
score: 0
Accepted
time: 945ms
memory: 207560kb
input:
29 2 9 1
output:
253 36
result:
ok 2 number(s): "253 36"
Test #22:
score: 0
Accepted
time: 136ms
memory: 46732kb
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: 2986ms
memory: 502348kb
input:
30 4 10 9 5 1
output:
188 40
result:
ok 2 number(s): "188 40"
Test #24:
score: 0
Accepted
time: 3102ms
memory: 503196kb
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: 0
Accepted
time: 3097ms
memory: 503888kb
input:
30 8 10 9 8 7 4 3 2 1
output:
154 1
result:
ok 2 number(s): "154 1"
Test #26:
score: 0
Accepted
time: 2925ms
memory: 503264kb
input:
30 8 10 8 7 6 5 4 3 1
output:
155 1
result:
ok 2 number(s): "155 1"
Test #27:
score: 0
Accepted
time: 2823ms
memory: 503388kb
input:
30 6 10 8 6 4 3 1
output:
150 4
result:
ok 2 number(s): "150 4"
Test #28:
score: 0
Accepted
time: 3142ms
memory: 503672kb
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: 0
Accepted
time: 2165ms
memory: 392492kb
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