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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#440516 | #8529. Balance of Permutation | ucup-team3586# | AC ✓ | 240ms | 13748kb | C++23 | 3.3kb | 2024-06-13 19:56:02 | 2024-06-13 19:56:03 |
Judging History
answer
//泥の分際で私だけの大切を奪おうだなん
#include<bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
using namespace std;
#define i128 __int128
inline i128 read(){
i128 s=0,w=1;
char ch=getchar();
while(ch<'0'||ch>'9'){if(ch=='-')w=-1;ch=getchar();}
while(ch>='0'&&ch<='9') s=s*10+ch-'0',ch=getchar();
return s*w;
}
int n=read(),m=read()/2;
i128 k=read();
bool vis[33],tmp[33];
int a[33],b[33];
int lim[33];
i128 f[35][35][503];
int deg[33],in[33],IN[33];
map<vector<int>,__int128> mp;
i128 work()
{
vector<int> O;
for(int i=1; i<=n; ++i) O.push_back(b[i]);
if(mp.count(O))
{
return mp[O];
}
memset(f,0,sizeof(f));
for(int i=1; i<=n; ++i) deg[i]=in[i]=IN[i]=0;
for(int i=1; i<=n; ++i)
if(b[i]) ++deg[i],++deg[b[i]],in[i]=b[i],in[b[i]]=-i,
++IN[min(i,b[i])],--IN[max(i,b[i])];
f[0][0][0]=1;
// for(int i=1; i<=n; ++i)
// printf("%d ",b[i]);
// puts("");
// printf("* ");
// for(int i=1; i<=n; ++i)
// printf("%d ",IN[i]);
// puts("");
for(int i=1; i<=n; ++i)
{
int A=0,B=0;
for(int j=1; j<=n; ++j)
if(j<i&&b[j]&&b[j]>=i) ++A;
else if(j>=i&&b[j]&&b[j]<i) ++B;
for(int j=0; j<i; ++j)
for(int k=0; k<=m; ++k) if(f[i-1][j][k])
{
if(deg[i]==0)
{
if(j-1>=0&&k+j-1<=m)
f[i][j-1][k+j-1]+=f[i-1][j][k]*(j-A)*(j-B);
if(k+j+1<=m)
f[i][j+1][k+j+1]+=f[i-1][j][k];
if(k+j<=m)
f[i][j][k+j]+=f[i-1][j][k]*(j*2-A-B+1);
}
else if(deg[i]==1)
{
if(in[i]>0)
{
if(in[i]>i)
{
if(k+j<=m)
f[i][j][k+j]+=f[i-1][j][k]*(j-A);
if(k+j+1<=m)
f[i][j+1][k+j+1]+=f[i-1][j][k];
}
else
{
if(k+j<=m)
f[i][j][k+j]+=f[i-1][j][k];
if(j-1>=0&&k+j-1<=m)
f[i][j-1][k+j+1]+=f[i-1][j][k]*(j-A);
}
}
else if(in[i]<0)
{
if(in[i]<-i)
{
if(k+j<=m)
f[i][j][k+j]+=f[i-1][j][k]*(j-B);
if(k+j+1<=m)
f[i][j+1][k+j+1]+=f[i-1][j][k];
}
else
{
if(k+j<=m)
f[i][j][k+j]+=f[i-1][j][k];
if(j-1>=0&&k+j-1<=m)
f[i][j-1][k+j-1]+=f[i-1][j][k]*(j-B);
}
}
else assert(0);
}
else
{
if(j+IN[i]/2>=0&&k+j+IN[i]/2<=m)
f[i][j+IN[i]/2][k+j+IN[i]/2]+=f[i-1][j][k];
}
}
}
// printf("result %lld\n",(long long)f[n][0][m]);
return mp[O]=f[n][0][m];
}
i128 solve()
{
memset(tmp,0,sizeof(tmp));
for(int i=1; i<=n; ++i) b[i]=0;
i128 ans=0;
for(int i=1; i<=n; ++i) //first !=
{
for(int j=1; j<a[i]; ++j)
if(!tmp[j])
{
b[i]=j;
ans+=work();
}
b[i]=a[i];
tmp[a[i]]=1;
}
// for(int i=1; i<=n; ++i) printf("%d ",a[i]);
// printf("%lld\n",(long long)ans);
return ans;
}
signed main()
{
// printf("%lld\n",(long long)work());
for(int i=1; i<=n; ++i)
{
int last=-1;
for(int j=1; j<=n; ++j) if(!vis[j])
{
a[i]=j;
vis[j]=1;
for(int k=1,p=i; k<=n; ++k)
if(!vis[k]) a[++p]=k;
vis[j]=0;
if(solve()>=k) break;
last=j;
}
assert(last!=-1);
a[i]=last,vis[last]=1;
}
for(int i=1; i<=n; ++i)
printf("%d ",a[i]);
puts("");
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 13624kb
input:
6 6 6
output:
1 2 6 3 4 5
result:
ok 6 numbers
Test #2:
score: 0
Accepted
time: 111ms
memory: 13480kb
input:
30 300 3030303030303030303030
output:
1 2 3 4 9 23 20 28 24 16 21 17 27 29 8 26 25 30 19 18 22 12 7 13 6 10 5 15 14 11
result:
ok 30 numbers
Test #3:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
1 0 1
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 3ms
memory: 13704kb
input:
2 0 1
output:
1 2
result:
ok 2 number(s): "1 2"
Test #5:
score: 0
Accepted
time: 0ms
memory: 13424kb
input:
2 2 1
output:
2 1
result:
ok 2 number(s): "2 1"
Test #6:
score: 0
Accepted
time: 4ms
memory: 13296kb
input:
5 8 3
output:
1 5 4 2 3
result:
ok 5 number(s): "1 5 4 2 3"
Test #7:
score: 0
Accepted
time: 3ms
memory: 13700kb
input:
7 20 100
output:
3 6 7 4 1 5 2
result:
ok 7 numbers
Test #8:
score: 0
Accepted
time: 4ms
memory: 13624kb
input:
7 2 6
output:
2 1 3 4 5 6 7
result:
ok 7 numbers
Test #9:
score: 0
Accepted
time: 3ms
memory: 13700kb
input:
7 24 1
output:
4 5 6 7 1 2 3
result:
ok 7 numbers
Test #10:
score: 0
Accepted
time: 4ms
memory: 13344kb
input:
7 22 360
output:
7 6 4 3 5 2 1
result:
ok 7 numbers
Test #11:
score: 0
Accepted
time: 7ms
memory: 13700kb
input:
7 20 358
output:
5 7 2 4 6 3 1
result:
ok 7 numbers
Test #12:
score: 0
Accepted
time: 14ms
memory: 13372kb
input:
10 48 10001
output:
7 5 8 9 6 10 3 4 1 2
result:
ok 10 numbers
Test #13:
score: 0
Accepted
time: 14ms
memory: 13628kb
input:
10 42 10101
output:
3 9 6 8 10 5 7 2 1 4
result:
ok 10 numbers
Test #14:
score: 0
Accepted
time: 71ms
memory: 13460kb
input:
25 300 1
output:
7 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 8 9 10 11 12 13
result:
ok 25 numbers
Test #15:
score: 0
Accepted
time: 130ms
memory: 13356kb
input:
25 300 283788388040048639877
output:
25 24 23 22 21 20 19 18 17 16 11 12 13 14 15 10 9 8 7 5 6 4 2 1 3
result:
ok 25 numbers
Test #16:
score: 0
Accepted
time: 111ms
memory: 13388kb
input:
26 302 105773752969551707419545
output:
19 22 25 13 17 18 23 20 10 26 16 6 5 11 14 12 24 4 3 21 1 15 7 8 2 9
result:
ok 26 numbers
Test #17:
score: 0
Accepted
time: 105ms
memory: 13476kb
input:
27 308 8781128321749037280676555
output:
16 18 17 21 25 6 20 24 22 15 27 5 7 8 2 9 26 13 1 3 14 10 23 19 4 11 12
result:
ok 27 numbers
Test #18:
score: 0
Accepted
time: 107ms
memory: 13748kb
input:
28 304 806517199954337651602356955
output:
12 17 5 16 23 26 25 15 20 2 19 7 22 24 6 13 11 10 28 8 1 21 18 14 27 3 4 9
result:
ok 28 numbers
Test #19:
score: 0
Accepted
time: 123ms
memory: 13680kb
input:
29 322 40281026669581503094652149519
output:
16 21 10 25 17 29 9 28 2 8 26 27 22 4 3 5 18 14 19 1 23 20 15 11 13 7 6 12 24
result:
ok 29 numbers
Test #20:
score: 0
Accepted
time: 170ms
memory: 13412kb
input:
30 400 46479902466857426153849991132
output:
25 19 30 29 9 20 26 21 14 27 28 10 22 11 24 2 7 4 18 17 5 13 12 6 8 1 15 23 16 3
result:
ok 30 numbers
Test #21:
score: 0
Accepted
time: 152ms
memory: 13488kb
input:
30 450 1140008168482799670544355
output:
26 16 17 18 19 20 21 22 23 24 25 27 28 29 30 1 2 3 5 9 4 8 14 10 6 11 12 15 7 13
result:
ok 30 numbers
Test #22:
score: 0
Accepted
time: 51ms
memory: 13432kb
input:
30 150 480087379811286955791425915
output:
7 4 8 5 16 3 1 12 13 11 9 10 15 25 18 17 20 30 28 2 6 14 23 21 24 26 27 22 19 29
result:
ok 30 numbers
Test #23:
score: 0
Accepted
time: 54ms
memory: 13388kb
input:
30 150 480087379811286955791439470
output:
7 4 8 5 16 3 1 12 13 11 9 10 15 25 18 17 20 30 28 2 19 6 22 24 21 23 26 14 29 27
result:
ok 30 numbers
Test #24:
score: 0
Accepted
time: 162ms
memory: 13412kb
input:
30 440 41509275104334759322587324
output:
22 23 20 24 18 30 19 26 21 28 4 29 17 25 27 16 3 1 2 5 8 13 10 15 7 12 9 14 11 6
result:
ok 30 numbers
Test #25:
score: 0
Accepted
time: 160ms
memory: 13688kb
input:
30 450 1140008168482800727111311
output:
26 16 17 18 19 20 21 22 23 24 25 27 28 29 30 1 2 5 7 14 4 15 8 11 3 13 10 9 6 12
result:
ok 30 numbers
Test #26:
score: 0
Accepted
time: 174ms
memory: 13420kb
input:
30 400 52289890275214604423031772929
output:
26 27 29 21 28 16 18 11 2 25 24 23 6 30 20 13 17 10 15 4 9 12 8 22 19 1 5 7 3 14
result:
ok 30 numbers
Test #27:
score: 0
Accepted
time: 12ms
memory: 13300kb
input:
30 0 1
output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
result:
ok 30 numbers
Test #28:
score: 0
Accepted
time: 136ms
memory: 13456kb
input:
30 450 1
output:
16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
result:
ok 30 numbers
Test #29:
score: 0
Accepted
time: 240ms
memory: 13524kb
input:
30 450 1710012252724199424000000
output:
30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
result:
ok 30 numbers
Test #30:
score: 0
Accepted
time: 200ms
memory: 13504kb
input:
30 450 1692383260428073656742269
output:
30 27 26 28 18 29 21 19 25 17 20 16 24 22 23 7 13 4 6 3 5 12 1 15 14 9 11 8 2 10
result:
ok 30 numbers
Test #31:
score: 0
Accepted
time: 151ms
memory: 13496kb
input:
30 302 5918364042599361729860937331200
output:
30 29 28 27 26 25 14 8 9 10 11 12 13 7 15 16 17 18 19 20 21 22 23 24 6 5 4 3 2 1
result:
ok 30 numbers
Test #32:
score: 0
Accepted
time: 100ms
memory: 13292kb
input:
30 254 2256781660157136563723839089600
output:
25 2 3 12 7 16 19 8 22 6 11 17 27 26 10 24 15 21 20 18 28 9 30 23 14 13 5 29 4 1
result:
ok 30 numbers
Test #33:
score: 0
Accepted
time: 209ms
memory: 13488kb
input:
30 448 3131906441000512625049600
output:
23 20 28 18 26 30 19 29 27 22 17 24 21 25 2 13 16 15 14 12 11 10 9 8 7 6 5 4 3 1
result:
ok 30 numbers
Test #34:
score: 0
Accepted
time: 9ms
memory: 13412kb
input:
30 2 20
output:
1 2 3 4 5 6 7 8 9 11 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
result:
ok 30 numbers
Test #35:
score: 0
Accepted
time: 7ms
memory: 13556kb
input:
30 2 29
output:
2 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
result:
ok 30 numbers
Extra Test:
score: 0
Extra Test Passed