This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <stdio.h>
#include <math.h>
#include <string.h>
#include <time.h>
#include <stdlib.h>
#include <string>
#include <bitset>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <algorithm>
#include <sstream>
#include <stack>
#include <iomanip>
#include <assert.h>
using namespace std;
#define pb push_back
#define mp make_pair
typedef pair<int,int> pii;
typedef long long ll;
typedef double ld;
typedef vector<int> vi;
#define fi first
#define se second
#define fe first
#define FO(x) {freopen(#x".in","r",stdin);freopen(#x".out","w",stdout);}
#define Edg int M=0,fst[SZ],vb[SZ],nxt[SZ];void ad_de(int a,int b){++M;nxt[M]=fst[a];fst[a]=M;vb[M]=b;}void adde(int a,int b){ad_de(a,b);ad_de(b,a);}
#define Edgc int M=0,fst[SZ],vb[SZ],nxt[SZ],vc[SZ];void ad_de(int a,int b,int c){++M;nxt[M]=fst[a];fst[a]=M;vb[M]=b;vc[M]=c;}void adde(int a,int b,int c){ad_de(a,b,c);ad_de(b,a,c);}
#define es(x,e) (int e=fst[x];e;e=nxt[e])
#define esb(x,e,b) (int e=fst[x],b=vb[e];e;e=nxt[e],b=vb[e])
#define SZ 666666
int go[64][100055];
int goo(int u,ll k)
{
for(int i=61;i>=0;--i) if(k&(1LL<<i))
u=go[i][u];
return u;
}
int n,a[SZ],ff[SZ],sz[SZ]; ll k;
int gf(int x) {return ff[x]?ff[x]=gf(ff[x]):x;}
bool cyc[SZ],vis[SZ];
ll cnt[SZ];
vector<int> cc[SZ],ct[SZ];
int cn,cs[SZ]; Edg
int d1[SZ],d2[SZ],D=0,R,ro[SZ],dep[SZ],od[SZ];
void dfs(int t,int fa=0)
{
d1[t]=++D; ro[t]=R; dep[t]=dep[fa]+1;
for esb(t,e,b)if(b!=fa&&!cyc[b])
dfs(b,t);
d2[t]=D;
}
int main()
{
scanf("%d%lld",&n,&k);
for(int i=1;i<=n;++i)
{
scanf("%d",a+i);
int x=gf(i),y=gf(a[i]);
if(x<y) swap(x,y);
if(x!=y) ff[x]=y;
ad_de(a[i],i);
}
for(int i=1;i<=n;++i)
go[0][i]=a[i];
for(int i=1;i<64;++i)
for(int j=1;j<=n;++j)
go[i][j]=go[i-1][go[i-1][j]];
for(int i=1;i<=n;++i)
++sz[gf(i)],ct[gf(i)].pb(i);
assert(gf(1)==1);
for(int i=1;i<=n;++i) if(!ff[i])
{
int j=i;
for(int k=1;k<=sz[i];++k) j=a[j];
vector<int> cy;
while(!cyc[j])
cy.pb(j),cyc[j]=1,j=a[j];
cs[++cn]=i; cc[i]=cy;
for(auto t:cy)
R=t,dfs(t);
}
vector<int> pa,s;
int fd=0;
{
int x=1;
while(!vis[x])
{
vis[x]=1,fd+=!cyc[x],
pa.pb(x); od[x]=pa.size();
if(cyc[x]) s.pb(x);
x=a[x];
}
}
ll tt=n*(ll)n;
for(int j=0;j<pa.size();++j)
{
int x=pa[j];
for(int u=1;u<=n;++u)
if(gf(u)!=1||(!cyc[x]&&(d1[u]<d1[x]||d1[u]>d2[x])))
// cout<<x<<"->"<<u<<"\n",
cnt[goo(u,k-j-1)]++;
}
// for(int i=1;i<=n;++i) cout<<cnt[i]<<"|";cout<<"\n";
for(int u=0;u<pa.size();++u)
{
int w=pa[u]; if(cyc[w]) continue;
ll lkk=k-u; //remained k
for(auto c:ct[1]) if(d1[w]<=d1[c]&&d1[c]<=d2[w])
{
int cl=dep[c]-dep[w]+1;
ll lk=lkk%cl;
if(!lk) lk+=cl;
--lk;
++cnt[goo(c,lk)];
}
}
for(int u=0;u<pa.size();++u)
{
int w=pa[u]; if(!cyc[w]) continue;
ll lkk=k-u; //remained k
for(auto c:ct[1])
{
int cl=dep[c]+(-od[ro[c]]+od[w]+(int)s.size())%s.size();
ll lk=lkk%cl;
if(!lk) lk+=cl;
--lk;
// cout<<w<<"->"<<c<<":"<<cl<<" "<<goo(c,lk)<<" "<<lkk<<"\n";
++cnt[goo(c,lk)];
}
}
for(int i=1;i<=n;++i) tt-=cnt[i];
cnt[goo(1,k)]+=tt;
for(int i=1;i<=n;++i)
printf("%lld\n",cnt[i]);
}
Compilation message (stderr)
space_pirate.cpp: In function 'int main()':
space_pirate.cpp:98:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int j=0;j<pa.size();++j)
~^~~~~~~~~~
space_pirate.cpp:107:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int u=0;u<pa.size();++u)
~^~~~~~~~~~
space_pirate.cpp:120:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int u=0;u<pa.size();++u)
~^~~~~~~~~~
space_pirate.cpp:57:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d%lld",&n,&k);
~~~~~^~~~~~~~~~~~~~~~
space_pirate.cpp:60:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d",a+i);
~~~~~^~~~~~~~~~
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