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 <algorithm>
#include <cstring>
#include <iomanip>
#include <fstream>
#include <cmath>
#include <vector>
#include <set>
#include <unordered_set>
#include <unordered_map>
#include <map>
#include <stack>
#include <queue>
#include <assert.h>
#include <limits>
#include <cstdio>
#include <complex>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
#define mp make_pair
#define f first
#define s second
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)
const int MOD = 1e9+7; // 998244353; // = (119<<23)+1
const int MX = 2e2+5;
const ll INF = 1e18;
const ld PI = 4*atan((ld)1);
const int dx[4] = {0,1,0,-1}, dy[4] = {1,0,-1,0};
namespace io {
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
void setIO(string s = "") {
ios_base::sync_with_stdio(0); cin.tie(0); // fast I/O
// cin.exceptions(cin.failbit); // ex. throws exception when you try to read letter into int
if (sz(s)) {
setIn(s+".in");
setOut(s+".out");
} // for USACO
}
}
using namespace io;
namespace input {
template<class T> void re(complex<T>& x);
template<class T1, class T2> void re(pair<T1,T2>& p);
template<class T> void re(vector<T>& a);
template<class T, size_t SZ> void re(array<T,SZ>& a);
template<class T> void re(T& x) { cin >> x; }
void re(double& x) { string t; re(t); x = stod(t); }
void re(ld& x) { string t; re(t); x = stold(t); }
template<class Arg, class... Args> void re(Arg& first, Args&... rest) {
re(first); re(rest...);
}
template<class T> void re(complex<T>& x) { T a,b; re(a,b); x = cd(a,b); }
template<class T1, class T2> void re(pair<T1,T2>& p) { re(p.f,p.s); }
template<class T> void re(vector<T>& a) { F0R(i,sz(a)) re(a[i]); }
template<class T, size_t SZ> void re(array<T,SZ>& a) { F0R(i,SZ) re(a[i]); }
}
namespace output {
template<class T1, class T2> void pr(const pair<T1,T2>& x);
template<class T, size_t SZ> void pr(const array<T,SZ>& x);
template<class T> void pr(const vector<T>& x);
template<class T> void pr(const set<T>& x);
template<class T1, class T2> void pr(const map<T1,T2>& x);
template<class T> void pr(const T& x) { cout << x; }
template<class Arg, class... Args> void pr(const Arg& first, const Args&... rest) {
pr(first); pr(rest...);
}
template<class T1, class T2> void pr(const pair<T1,T2>& x) {
pr("{",x.f,", ",x.s,"}");
}
template<class T> void prContain(const T& x) {
pr("{");
bool fst = 1; for (const auto& a: x) pr(!fst?", ":"",a), fst = 0; // const needed for vector<bool>
pr("}");
}
template<class T, size_t SZ> void pr(const array<T,SZ>& x) { prContain(x); }
template<class T> void pr(const vector<T>& x) { prContain(x); }
template<class T> void pr(const set<T>& x) { prContain(x); }
template<class T1, class T2> void pr(const map<T1,T2>& x) { prContain(x); }
void ps() { pr("\n"); }
template<class Arg> void ps(const Arg& first) {
pr(first); ps(); // no space at end of line
}
template<class Arg, class... Args> void ps(const Arg& first, const Args&... rest) {
pr(first," "); ps(rest...); // print w/ spaces
}
}
using namespace output;
using namespace input;
ll add(ll a, ll b) {
a += b;
if(a >= MOD) {
a -= MOD;
}
return a;
}
ll sub(ll a, ll b) {
a -= b;
if(a < 0) {
a += MOD;
}
return a;
}
ll mul(ll a, ll b) {
return (a * b)%MOD;
}
void add_self(ll& a, ll b) {
a = add(a, b);
}
void sub_self(ll& a, ll b) {
a = sub(a, b);
}
void mul_self(ll& a, ll b) {
a = mul(a, b);
}
ll b = 13;
ll ppow[MX];
ll N;
map<ll, pl> getstate;
ll dp[4230154];
vl adj[MX];
ll cntcycles[MX];
ll bags[MX];
ll ans[MX][MX];
pl cl[MX];
bool visited[MX];
ll curr = 0;
ll cs = 0;
map<ll, pl> progression;
map<ll, vl> sloc;
ll finalans[MX];
ll currbag = 1;
ll toadd = 2, minval, maxval;
void assignans(ll u, ll p, ll s) {
finalans[u] = bags[currbag];
currbag+=toadd;
if (toadd == 2) {
if (currbag == maxval-1) {
toadd = 1;
} else if (currbag == maxval) {
toadd = -1;
}
} else if (toadd == -1 || toadd == 1) {
toadd = -2;
}
visited[u] = true;
trav (v, adj[u]) {
if (v != s) {
assignans(v, u, s);
}
}
}
ll getcycles(ll u, ll p, ll s) {
visited[u] = true;
trav (v, adj[u]) {
if (v != s) {
return 1+getcycles(v, u, s);
}
}
return 1;
}
void findstates(ll i, ll currhash, ll amnt) {
if (i == curr) {
getstate[currhash] = {cs++, amnt};
return;
}
F0R (j, cl[i].s+1) {
findstates(i+1, add(currhash, j*cl[i].f*ppow[i]), amnt+j*cl[i].f);
}
}
ll f(ll i) {
if (getstate[i].s == N) {
return 0;
}
if (dp[i] != -1) {
return dp[i];
}
ll currind = getstate[i].s+1;
dp[i] = 1e13;
F0R (j, curr) {
ll newhash = add(i, cl[j].f*ppow[j]);
if (getstate.count(newhash)) {
ll val = max(ans[currind][currind+cl[j].f-1], f(newhash));
if (val < dp[i]) {
dp[i] = val;
progression[i] = {newhash, cl[j].f};
}
}
}
// ps(i, dp[i]);
return dp[i];
}
int main() {
setIO();
memset(dp, -1, sizeof(dp));
ppow[0] = 1;
re(N);
FOR (i, 1, N+1) {
ppow[i] = mul(ppow[i-1], b);
}
FOR (i, 1, N+1) {
ll a;
re(a);
adj[i].pb(a);
}
FOR (i, 1, N+1) {
re(bags[i]);
}
sort(bags+1, bags+1+N);
FOR (i, 1, N+1) {
ans[i][i] = 0;
FOR (j, i+1, N+1) {
for (ll k = i; k<=j-2; k+=2) {
ans[i][j] = max(ans[i][j], abs(bags[k]-bags[k+2]));
}
ans[i][j] = max(ans[i][j], abs(bags[j]-bags[j-1]));
for (ll k = ((j-i)%2 == 0 ? j-1 : j); k>i+1; k-=2) {
ans[i][j] = max(ans[i][j], abs(bags[k]-bags[k-2]));
}
ans[i][j] = max(ans[i][j], abs(bags[i]-bags[i+1]));
}
}
FOR (i, 1, N+1) {
if (!visited[i]) {
ll val = getcycles(i, -1, i);
cntcycles[val]++;
if (cntcycles[val] > 1) {
sloc[val].pb(i);
} else {
sloc[val] = {i};
}
}
}
FOR (i, 1, N+1) {
if (cntcycles[i]) cl[curr++] = {i, cntcycles[i]};
}
findstates(0, 0, 0);
ps(f(0));
ll pepega = 0;
ll currmin = 1;
while (getstate[pepega].s != N) {
minval = currmin;
currbag = minval;
maxval = currmin+progression[pepega].s-1;
assignans(sloc[progression[pepega].s][sz(sloc[progression[pepega].s])-1], -1, sloc[progression[pepega].s][sz(sloc[progression[pepega].s])-1]);
sloc[progression[pepega].s].pop_back();
currmin+=progression[pepega].s;
pepega = progression[pepega].f;
}
FOR (i, 1, N) {
cout << finalans[i] << " ";
}
cout << finalans[N] << "\n";
return 0;
}
Compilation message (stderr)
vrtic.cpp: In function 'void io::setIn(std::string)':
vrtic.cpp:67:35: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
67 | void setIn(string s) { freopen(s.c_str(),"r",stdin); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
vrtic.cpp: In function 'void io::setOut(std::string)':
vrtic.cpp:68:36: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
68 | void setOut(string s) { freopen(s.c_str(),"w",stdout); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
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