# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
758561 | NK_ | Special graph (IZhO13_specialg) | C++17 | 142 ms | 32268 KiB |
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 <bits/stdc++.h>
using namespace std;
/////////////////////// MACROS ////////////////////////////////////////////
using ll = long long;
using ld = long double;
using db = double;
using str = string;
using pi = pair<int,int>;
using pl = pair<ll,ll>;
using vi = vector<int>;
using vl = vector<ll>;
using vs = vector<str>;
using vc = vector<char>;
using vpi = vector<pi>;
using vpl = vector<pl>;
#define tcT template<class T
#define tcTU tcT, class U
tcT> using V = vector<T>;
tcT, size_t SZ> using AR = array<T,SZ>;
tcTU> using PR = pair<T,U>;
tcTU> using umap = unordered_map<T, U>;
tcT> using uset = unordered_set<T>;
tcT> using mset = multiset<T>;
#define mp make_pair
#define f first
#define s second
#define sz(x) int((x).size())
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define ppb pop_back()
#define ppf pop_front()
#define pb push_back
#define eb emplace_back
#define pf push_front
#define lb lower_bound
#define ub upper_bound
// LOOPS
#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 rep(a) F0R(_, a)
#define each(a,x) for (auto& a: x)
/////////////////////// IMPORANT VARS /////////////////////////////////////
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INFL = ll(3e18)+10;
const int INF = int(1e9)+10;
const ld PI = acos((ld)-1);
const int dx[4] = {1,0,-1,0}, dy[4] = {0,1,0,-1};
tcT> using pqg = priority_queue<T,vector<T>,greater<T>>;
tcT> using pql = priority_queue<T,vector<T>,less<T>>;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define nl '\n'
constexpr int pct(int x) { return __builtin_popcount(x); } // # of bits set
constexpr int bits(int x) {
return x == 0 ? 0 : 31-__builtin_clz(x); }
constexpr int p2(int x) { return 1<<x; }
constexpr int msk2(int x) { return p2(x)-1; }
ll cdiv(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll fdiv(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down
tcT> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0; } // set a = min(a,b)
tcT> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0; }
tcTU> T fstTrue(T lo, T hi, U f) {
hi ++; assert(lo <= hi); // assuming f is increasing
while (lo < hi) { // find first index such that f is true
T mid = lo+(hi-lo)/2;
f(mid) ? hi = mid : lo = mid+1;
}
return lo;
}
tcTU> T lstTrue(T lo, T hi, U f) {
lo --; assert(lo <= hi); // assuming f is decreasing
while (lo < hi) { // find first index such that f is true
T mid = lo+(hi-lo+1)/2;
f(mid) ? lo = mid : hi = mid-1;
}
return lo;
}
tcT> void remDup(vector<T>& v) { // sort and remove duplicates
sort(all(v)); v.erase(unique(all(v)),end(v)); }
tcTU> void erase(T& t, const U& u) { // don't erase
auto it = t.find(u); assert(it != end(t));
t.erase(it); } // element that doesn't exist from (multi)set
// #include <ext/pb_ds/assoc_container.hpp>
// using namespace __gnu_pbds;
// tcT> using iset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// #define ook order_of_key
// #define fbo find_by_order
// struct chash {
// const uint64_t C = ll(2e18*PI)+71;
// const int RANDOM = rng();
// ll operator()(ll x) const {
// return __builtin_bswap64((x^RANDOM)*C); }
// };
// template<class K,class V> using um = unordered_map<K,V,chash>;
// template<class K,class V> using ht = gp_hash_table<K,V,chash>;
// template<class K,class V> V get(ht<K,V>& u, K x) {
// auto it = u.find(x); return it == end(u) ? 0 : it->s; }
/////////////////////// OUPUT /////////////////////////////////////////////
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
str ts(bool b) {
#ifdef LOCAL
return b ? "true" : "false";
#else
return ts((int)b);
#endif
}
tcTU> str ts(pair<T,U> p) {
#ifdef LOCAL
return "("+ts(p.f)+", "+ts(p.s)+")";
#else
return ts(p.f)+" "+ts(p.s);
#endif
}
tcTU> str ts(V<pair<T, U>> v) {
#ifdef LOCAL
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
#else
bool fst = 1; str res = "";
for (const auto& x: v) {
if (!fst) res += " ";
fst = 0; res += ts(x);
}
return res;
#endif
}
tcT> str ts(T v) {
#ifdef LOCAL
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
#else
bool fst = 1; str res = "";
for (const auto& x: v) {
if (!fst) res += " ";
fst = 0; res += ts(x);
}
return res;
#endif
}
///////////////////////// DEBUG ///////////////////////////////////////////
#define tcTUU tcT, class ...U
void DBG() { cerr << "]" << "\e[0m" << endl; }
tcTUU> void DBG(const T& t, const U&... u) {
cerr << ts(t); if (sizeof...(u)) cerr << ", ";
DBG(u...); }
#ifdef LOCAL
#define dbg(...) cerr << "\e[1m" << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__);
#define chk(...) if (!(__VA_ARGS__)) cerr << "Line(" << __LINE__ << ") -> function(" \
<< __FUNCTION__ << ") -> CHK FAILED: (" << #__VA_ARGS__ << ")" << "\n", exit(0);
#else
#define dbg(...) 0
#define chk(...) 0
#endif
///////////////////////// FILE I/O ////////////////////////////////////////
void unsyncIO() { cin.tie(0)->sync_with_stdio(0); }
void setPrec() { cout << fixed << setprecision(15); }
void setIn(str s) { freopen(s.c_str(),"r",stdin); }
void setOut(str s) { freopen(s.c_str(),"w",stdout); }
void setIO(str s = "") {
unsyncIO(); setPrec();
#ifndef LOCAL
if (sz(s)) setIn(s+".in"), setOut(s+".out"); // for USACO
#endif
}
///////////////////////// TEMPLATE ABOVE //////////////////////////////////
// REMEMBER
// - Don't Focus On Only One Approach
// - Read And Understand Problem Fully
// - Think Of Edges Cases
// - Implement Carefully
// - Always Check For Overflows
// - Reset Global Variables
// - Look At The Bigger Picture
// - Don't Get Discouraged, You Can Pull It Back
struct TreeTour {
vi st, en, par, dep;
V<vi> adj; int t;
void init(int N) {
t = 0;
st = en = par = dep = vi(N);
adj = V<vi>(N);
}
void ae(int a, int b) { adj[a].pb(b); }
void dfs(int x) {
st[x] = t++;
each(y,adj[x]) {
par[y] = x; dep[y] = dep[x]+1; dfs(y); }
en[x] = t-1;
dbg(x, st[x], en[x]);
}
void gen(int R) { par[R] = R; dep[R] = 0; dfs(R); }
bool isAnc(int a, int b) { return (st[a] <= st[b] && en[b] <= en[a]); }
};
tcT> struct BIT {
int N; V<T> data;
void init(int _N) { N = _N; data = V<T>(N, 0); }
void add(int p, T x) { for (++p;p<=N;p+=p&-p) data[p-1] ^= x; }
void add(int l, int r, T x) { add(l, x); add(r+1, x); }
T get(int r) { T s = 0; for(++r;r;r-=r&-r)s^=data[r-1]; return s; }
};
const ll BIG = 1e15 + 7;
ll get() { return (rng() + 5LL * MOD) % MOD; }
ll rnd() { return (get() * get()) % BIG; }
void solve() {
int N; cin >> N;
vi A(N); each(x, A) { cin >> x; --x; }
vi deg(N); each(x, A) if (x != -1) deg[x]++;
int Z = count(begin(A), end(A), -1);
dbg(Z);
set<int> C; V<vi> cyc;
map<int, int> COMP;
vi vis(N);
F0R(x, N) {
int u = x;
vi seen;
while(!vis[u]) {
vis[u] = 1; seen.pb(u);
if (vis[u] == 2 || A[u] == -1) break;
u = A[u];
}
if (vis[u] == 2 || A[u] == -1) {
each(v, seen) vis[v] = 2;
continue;
}
vis = vi(N, 0);
cyc.pb({});
while(!vis[u]) {
vis[u] = 1;
cyc.bk.pb(u);
u = A[u];
}
dbg(cyc);
int c = cyc.bk.bk;
// F0R(i, sz(cyc.bk)) if (deg[A[cyc.bk[i]]] > 1) {
// c = cyc.bk[i];
// rotate(begin(cyc.bk), begin(cyc.bk) + i + 1, end(cyc.bk));
// }
A[c] = -1;
C.ins(c);
COMP[c] = sz(cyc) - 1;
each(v, cyc.bk) vis[v] = 2;
}
int M = sz(cyc);
dbg(C, cyc);
map<int, int> TO;
BIT<ll> B; B.init(2*N+1);
TreeTour T; T.init(2*N+1);
int cur = N;
F0R(u, N) {
dbg(A[u], u);
if (A[u] != -1) T.ae(A[u], u);
if (C.count(u)) {
int comp = COMP[u];
int prv = u;
F0R(i, sz(cyc[comp])) {
T.ae(cur, prv);
dbg(cur, prv, cyc[comp][i]);
prv = cur;
TO[cyc[comp][i]] = cur++;
}
}
}
F0R(u, N) if (A[u] == -1) {
int U = u;
if (C.count(u)) U = TO[U];
dbg(U);
T.gen(U);
B.add(T.st[U], T.en[U], rnd());
}
int Q; cin >> Q;
rep(Q) {
int t; cin >> t;
if (t == 1) {
int u; cin >> u; --u;
B.add(T.st[u], T.en[u], rnd());
if (TO.find(u) != TO.end()) {
B.add(T.st[TO[u]], T.en[TO[u]], rnd());
}
}
if (t == 2) {
int u, v; cin >> u >> v; --u, --v;
BACK:;
if (T.dep[u] < T.dep[v]) {
if (TO.find(v) != TO.end()) { v = TO[v]; goto BACK; }
cout << -1 << nl;
continue;
}
dbg(u, v);
ll ru = B.get(T.st[u]), rv = B.get(T.st[v]);
dbg(ru, rv, T.isAnc(v, u));
if (ru != rv || !T.isAnc(v, u)) {
if (TO.find(v) != TO.end()) { v = TO[v]; goto BACK; }
cout << -1 << nl;
continue;
}
cout << T.dep[u] - T.dep[v] << nl;
}
}
}
int main() {
setIO();
int TT = 1;
// cin >> TT;
rep(TT) solve();
exit(0-0);
}
Compilation message (stderr)
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