Submission #136641

#	Time	Username	Problem	Language	Result	Execution time	Memory
136641		Benq	Space Pirate (JOI14_space_pirate)	C++14	100 / 100	1843 ms	94464 KiB

space_pirate

#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
 
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>
 
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
 
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
 
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
 
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;

#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define F0R(i, a) for (int i = 0; i < (a); i++)
#define trav(a, x) for (auto& a : x)
 
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
 
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rsz resize
 
const int MOD = 1000000007;
const int MX = 100005;
 
template<class T> void ckmin(T &a, T b) { a = min(a, b); }
template<class T> void ckmax(T &a, T b) { a = max(a, b); }
 
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]); }
}
 
using namespace input;
 
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;
 
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
        if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
    }
}
 
using namespace io;

int N,A[MX]; // ind[MX],ori;
ll K, ans[MX];
 
vector<vi> cyc;
array<int,3> CYC[MX];
int vis[MX];
 
int par(int a, ll b) {
	assert(b >= CYC[a][2]);
	b -= CYC[a][2];
	int ind = (CYC[a][1]+b)%sz(cyc[CYC[a][0]]);
	return cyc[CYC[a][0]][ind];
}
 
void dfs(int a, int b) {
	if (vis[a]) {
		if (vis[a] != b) return;
		array<int,3> lst = {sz(cyc),0,0}; cyc.pb({});
		while (CYC[a][0] == -1) {
			CYC[a] = lst; cyc.back().pb(a);
			lst[1] ++; a = A[a];
		}
		return;
	}
	vis[a] = b; dfs(A[a],b);
	if (CYC[a][0] == -1) CYC[a] = {CYC[A[a]][0],CYC[A[a]][1],CYC[A[a]][2]+1};
}
 
vi adj[MX];
int dist[MX],ind[MX];
int special;
vl cum[MX];
vi path;
 
void genInd(int x) {
	trav(t,adj[x]) if (ind[t] == MOD) {
		ind[t] = ind[x];
		genInd(t);
	}
}
 
void ad(int ind, ll L, ll R) {
	// FOR(i,L,R+1) ans[cyc[ind][i%sz(cyc[ind])]] ++;
	ll tot = (R-L+1)/sz(cyc[ind]);
	cum[ind][0] += tot; R -= tot*sz(cyc[ind]);
	ll z = L/sz(cyc[ind]); L -= z*sz(cyc[ind]), R -= z*sz(cyc[ind]);
	cum[ind][L] ++;
	if (R+1 < sz(cyc[ind])) cum[ind][R+1] --;
	else cum[ind][0] ++, cum[ind][R+1-sz(cyc[ind])] --;
}

clock_t beg;

void init() {
	//setIn("04-13.txt");
	//setOut("zz.txt");
	setIO();
    re(N,K); 
    FOR(i,1,N+1) {
    	re(A[i]);
    	adj[A[i]].pb(i);
    	CYC[i] = {-1,-1,-1}; // cycle, position, dist
    }
    beg = clock();
    FOR(i,1,N+1) if (!vis[i]) dfs(i,i);
    FOR(i,1,N+1) dist[i] = -1, ind[i] = MOD;
    
    int cur = 1, lst = 0;
    while (dist[cur] == -1) {
    	dist[cur] = ind[cur] = lst++;
    	if (CYC[cur][2] == 0) ind[cur] = CYC[1][2];
    	path.pb(cur);
    	cur = A[cur];
    }
    F0R(i,sz(path)) genInd(path[i]);
    ans[par(1,K)] += (ll)N*(N-sz(path));
    F0R(i,sz(cyc)) cum[i].rsz(sz(cyc[i]));
    // FOR(i,1,N+1) ps("HA",i,ind[i]);
    FOR(i,1,N+1) {
    	int lo = 1, hi = min(sz(path),ind[i]); 
    	lo += CYC[i][2], hi += CYC[i][2];
    	// ps("??",i,lo,hi);
    	ad(CYC[i][0],CYC[i][1]+K-hi,CYC[i][1]+K-lo);
    }
    F0R(i,sz(cyc)) {
    	F0R(j,sz(cyc[i])) {
    		if (j) cum[i][j] += cum[i][j-1];
    		ans[cyc[i][j]] += cum[i][j];
    	}
    }
}
 
vi v;
int dis[MX], disPath[MX];
 
vi todo[2*MX];
int maxDis[MX];

void genDis(int x) {
	trav(t,adj[x]) if (t != path.back()) {
		maxDis[t] = dis[t] = dis[x]+1;
		if (dist[t] == -1) disPath[t] = disPath[x]+1;
		genDis(t);
		ckmax(maxDis[x],maxDis[t]);
	}
}
 
template <class T, int ...Ns> struct BIT {
    T val = 0;
    void upd(T v) { val += v; }
    T query() { return val; }
};

template <class T, int N, int... Ns> struct BIT<T, N, Ns...> {
    BIT<T,Ns...> bit[N + 1];
    template<typename... Args> void upd(int pos, Args... args) {
        for (; pos <= N; pos += (pos&-pos)) bit[pos].upd(args...);
    }
    template<typename... Args> T sum(int r, Args... args) {
        T res = 0; for (; r; r -= (r&-r)) res += bit[r].query(args...); 
        return res;
    }
    template<typename... Args> T query(int l, int r, Args... args) {
    	ckmax(l,1); ckmin(r,N);
    	if (l > r) return 0;
        return sum(r,args...)-sum(l-1,args...);
    }
}; // BIT<int,10,10> gives a 2D BIT

BIT<int,MX> B, B2, B3, B4;
int cycLen;

void ans1(int x) {
	// ps("HA",x,dis[x]);
	trav(len,todo[dis[x]]) {
		int l = max(len,dis[x]); if (l > maxDis[x]) break;
		int r = dis[x]-disPath[x]+len-1;
		ans[x] -= B.query(l,r);
	}
	B.upd(dis[x],1); 
	trav(t,adj[x]) if (t != path.back()) ans1(t);
	trav(len,todo[dis[x]]) {
		int l = max(len,dis[x]); if (l > maxDis[x]) break;
		int r = dis[x]-disPath[x]+len-1;
		// ps("WUT",dis[x],len,l,r,B.query(l,r));
		ans[x] += B.query(l,r);
	}
	// cycLen to cycLen+len-1
	// ps("FINISH",x,dis[x],ans[x]);
}

vi weird[MX], WEIRD[MX];
vi ins[2*MX], del[2*MX], INS[2*MX], DEL[2*MX];
ll xo = 0;

int cnt = 0, zero = 0;

void ans2(int x) {
	// vi z;
	int ind = lb(all(todo[dis[x]+cycLen]),dis[x])-todo[dis[x]+cycLen].begin();
	if (dist[x] == -1) {
		// cnt += sz(todo[dis[x]+cycLen]);
		FOR(i,ind,sz(todo[dis[x]+cycLen])) {
			int len = todo[dis[x]+cycLen][i];
			int l = dis[x]-disPath[x]+1, r = len-1;
			l += len-1-cycLen;
			if (l > maxDis[x] || l > r) break;
			int b = B2.query(l,r);
			ans[x] -= b;
			// z.pb(b);
			cnt ++; 
		}
	} else {
		trav(t,todo[dis[x]+cycLen]) weird[t].pb(x);
		if (dis[x] <= cycLen) trav(t,todo[dis[x]]) WEIRD[t].pb(x);
	}
	int a = dis[x]-disPath[x], b = disPath[x];
	int l = a+b+1, r = b+cycLen;
	if (l <= r) ins[l].pb(a), del[r+1].pb(a);
	INS[1].pb(a+b), DEL[b+cycLen+1].pb(a+b);
	// len <= , a+b <= len-1
	// [a+b+1,b+cycLen]
	// bad when len > b+cycLen, len <= a+b
	B2.upd(dis[x],1);
	trav(t,adj[x]) if (t != path.back()) ans2(t);
	if (dist[x] == -1) {
		int co = 0;
		FOR(i,ind,sz(todo[dis[x]+cycLen])) {
			int len = todo[dis[x]+cycLen][i];
			int l = dis[x]-disPath[x]+1, r = len-1;
			l += len-1-cycLen;
			if (l > maxDis[x] || l > r) break;
			int b = B2.query(l,r);
			/*if (z[co] == b) {
				cerr << "?? " << l << " " << r << " " << maxDis[x] << " " << b << "\n";
				exit(0);
			}*/
			// zero += z[co] == b;
			co ++;
			ans[x] += b;
		}
	} 
}

int main() {
	init();
	//ps(path);
	FOR(i,1,N+1) dis[i] = -1;
	maxDis[path.back()] = dis[path.back()] = 1;
	genDis(path.back());
	FOR(len,1,N+1) {
		int rem = (dis[1]-K)%len; if (rem <= 0) rem += len;
		for (int i = rem; i <= 2*N; i += len) todo[i].pb(len);
	}
	cycLen = dis[A[path.back()]];
    //cerr << "MID " << (double)(clock()-beg)/CLOCKS_PER_SEC << "\n";
	ans1(path.back());
    //cerr << "AFT " << (double)(clock()-beg)/CLOCKS_PER_SEC << "\n";
	ans2(path.back());
    //cerr << "HUH " << (double)(clock()-beg)/CLOCKS_PER_SEC << " " << cnt << " " << zero << "\n";
	FOR(len,1,N+1) {
		trav(t,ins[len]) B3.upd(t,1);
		trav(t,del[len]) B3.upd(t,-1);
		trav(t,INS[len]) B4.upd(t,1);
		trav(t,DEL[len]) B4.upd(t,-1);
		trav(t,weird[len]) ans[t] += B3.query(dis[t],MOD);
		trav(t,WEIRD[len]) ans[t] += B4.query(1,len-1-cycLen+dis[t]);
	}
    FOR(i,1,N+1) {
    	xo ^= ans[i];
    	ps(ans[i]);
    }
    //cerr << "EN " << (double)(clock()-beg)/CLOCKS_PER_SEC << " " << xo << "\n";
}

Compilation message (stderr)

space_pirate.cpp: In function 'void io::setIn(std::__cxx11::string)':
space_pirate.cpp:107:35: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setIn(string s) { freopen(s.c_str(),"r",stdin); }
                            ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
space_pirate.cpp: In function 'void io::setOut(std::__cxx11::string)':
space_pirate.cpp:108:36: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setOut(string s) { freopen(s.c_str(),"w",stdout); }
                             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 10 / 10
• Subtask 2: 37 / 37
• Subtask 3: 33 / 33
• Subtask 4: 20 / 20