oj.uz

Submission #134473

# Submission time Handle Problem Language Result Execution time Memory
134473 2019-07-22T18:28:55 Z Benq Space Pirate (JOI14_space_pirate) C++14
47 / 100
 419 ms 29560 KB 
#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;

template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;

#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define F0R(i, a) for (int i = 0; i < (a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= (a); i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; 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; // 998244353
const ll INF = 1e18;
const int MX = 100005;
const ld PI = 4*atan((ld)1);

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;

template<class T> T invGeneral(T a, T b) {
    a %= b; if (a == 0) return b == 1 ? 0 : -1;
    T x = invGeneral(b,a); 
    return x == -1 ? -1 : ((1-(ll)b*x)/a+b)%b;
}

template<class T> struct modular {
    T val; 
    explicit operator T() const { return val; }
    modular() { val = 0; }
    modular(const ll& v) { 
        val = (-MOD <= v && v <= MOD) ? v : v % MOD;
        if (val < 0) val += MOD;
    }
    
    friend ostream& operator<<(ostream& os, const modular& a) { return os << a.val; }
    friend bool operator==(const modular& a, const modular& b) { return a.val == b.val; }
    friend bool operator!=(const modular& a, const modular& b) { return !(a == b); }
    friend bool operator<(const modular& a, const modular& b) { return a.val < b.val; }

    modular operator-() const { return modular(-val); }
    modular& operator+=(const modular& m) { if ((val += m.val) >= MOD) val -= MOD; return *this; }
    modular& operator-=(const modular& m) { if ((val -= m.val) < 0) val += MOD; return *this; }
    modular& operator*=(const modular& m) { val = (ll)val*m.val%MOD; return *this; }
    friend modular pow(modular a, ll p) {
        modular ans = 1; for (; p; p /= 2, a *= a) if (p&1) ans *= a;
        return ans;
    }
    friend modular inv(const modular& a) { 
        auto i = invGeneral(a.val,MOD); assert(i != -1);
        return i;
    } // equivalent to return exp(b,MOD-2) if MOD is prime
    modular& operator/=(const modular& m) { return (*this) *= inv(m); }
    
    friend modular operator+(modular a, const modular& b) { return a += b; }
    friend modular operator-(modular a, const modular& b) { return a -= b; }
    friend modular operator*(modular a, const modular& b) { return a *= b; }
    
    friend modular operator/(modular a, const modular& b) { return a /= b; }
};

typedef modular<int> mi;
typedef pair<mi,mi> pmi;
typedef vector<mi> vmi;
typedef vector<pmi> vpmi;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

int N,A[MX]; // ind[MX],ori;
ll K, ans[MX];

vector<vi> cyc;
array<int,3> CYC[MX];
int vis[MX];
vi path;

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];
int special;

void init() {
    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
    }
    FOR(i,1,N+1) if (!vis[i]) dfs(i,i);
    FOR(i,1,N+1) dist[i] = -1;
    
    int cur = 1, lst = 0;
    while (dist[cur] == -1) {
    	dist[cur] = lst++;
    	path.pb(cur);
    	cur = A[cur];
    }
    ans[par(1,K)] += (ll)N*(N-sz(path));
}

vi v;
int lst[MX];

void rdfs(int x) {
	v.pb(x); lst[x] = special;
	int rem = (K-dist[special])%sz(v);
	if (rem == 0) ans[v[rem]] ++;
	else ans[v[sz(v)-rem]] ++;
	trav(t,adj[x]) if (t != special) rdfs(t);
	v.pop_back();
}

void process() {
	// ps("HUH",special,dist[special]); exit(0);
	rdfs(special);
	FOR(i,1,N+1) if (lst[i] != special) ans[par(i,K-dist[special]-1)] ++;
}

int main() {
	init();
	set<int> S; FOR(i,1,N+1) S.insert(A[i]);
	if (sz(S) == N) {
		// ps("HA");
		ans[par(1,K)] += sz(path);
		FOR(i,1,N+1) if (dist[i] == -1) ans[i] += sz(path);
		FOR(len,1,sz(path)) {
			int k = K%len;
			ans[path[k]] += len-(k+1); // k+1 to len-1
			ans[path[sz(path)-(len-k)]] += k;
			for (int r = k; ; r += len) {
				int L = max(r-len+1,0); if (L > N-len) break;
				int R = min(r,N-len);
				ans[path[r]] += R-L+1;
			}
			// i from 0 to n-len
			// path[k] up to k 
			// 0 to k: path[k]
			// k+1 to k+len: path[k+len]
			
		}
	} else {
	    trav(t,path) {
	    	special = t;
	    	process();
	    }
	}
    FOR(i,1,N+1) ps(ans[i]);
    exit(0);
}

/* stuff you should look for
    * int overflow, array bounds
    * special cases (n=1?), set tle
    * do smth instead of nothing and stay organized
*/

Compilation message

space_pirate.cpp: In function 'void io::setIn(std::__cxx11::string)':
space_pirate.cpp:113:35: 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:114:36: 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
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2680 KB Output is correct
2 Correct 4 ms 2808 KB Output is correct
3 Correct 4 ms 2808 KB Output is correct
4 Correct 5 ms 2808 KB Output is correct
5 Correct 4 ms 2680 KB Output is correct
6 Correct 4 ms 2680 KB Output is correct
7 Correct 5 ms 2808 KB Output is correct
8 Correct 5 ms 2808 KB Output is correct
9 Correct 6 ms 2808 KB Output is correct
10 Correct 5 ms 2680 KB Output is correct
11 Correct 4 ms 2680 KB Output is correct
12 Correct 5 ms 2680 KB Output is correct
13 Correct 5 ms 2808 KB Output is correct
14 Correct 5 ms 2680 KB Output is correct

Subtask #2
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2680 KB Output is correct
2 Correct 4 ms 2808 KB Output is correct
3 Correct 4 ms 2808 KB Output is correct
4 Correct 5 ms 2808 KB Output is correct
5 Correct 4 ms 2680 KB Output is correct
6 Correct 4 ms 2680 KB Output is correct
7 Correct 5 ms 2808 KB Output is correct
8 Correct 5 ms 2808 KB Output is correct
9 Correct 6 ms 2808 KB Output is correct
10 Correct 5 ms 2680 KB Output is correct
11 Correct 4 ms 2680 KB Output is correct
12 Correct 5 ms 2680 KB Output is correct
13 Correct 5 ms 2808 KB Output is correct
14 Correct 5 ms 2680 KB Output is correct
15 Correct 14 ms 2936 KB Output is correct
16 Correct 6 ms 2936 KB Output is correct
17 Correct 19 ms 2936 KB Output is correct
18 Correct 419 ms 3420 KB Output is correct
19 Correct 193 ms 3320 KB Output is correct
20 Correct 216 ms 3192 KB Output is correct
21 Correct 385 ms 3320 KB Output is correct
22 Correct 167 ms 3328 KB Output is correct
23 Correct 344 ms 3464 KB Output is correct
24 Correct 142 ms 3324 KB Output is correct
25 Correct 6 ms 2936 KB Output is correct
26 Correct 419 ms 3448 KB Output is correct
27 Correct 147 ms 3064 KB Output is correct
28 Correct 154 ms 3064 KB Output is correct

Subtask #3
0 / 33.0

# Verdict Execution time Memory Grader output
1 Runtime error 93 ms 29560 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2680 KB Output is correct
2 Correct 4 ms 2808 KB Output is correct
3 Correct 4 ms 2808 KB Output is correct
4 Correct 5 ms 2808 KB Output is correct
5 Correct 4 ms 2680 KB Output is correct
6 Correct 4 ms 2680 KB Output is correct
7 Correct 5 ms 2808 KB Output is correct
8 Correct 5 ms 2808 KB Output is correct
9 Correct 6 ms 2808 KB Output is correct
10 Correct 5 ms 2680 KB Output is correct
11 Correct 4 ms 2680 KB Output is correct
12 Correct 5 ms 2680 KB Output is correct
13 Correct 5 ms 2808 KB Output is correct
14 Correct 5 ms 2680 KB Output is correct
15 Correct 14 ms 2936 KB Output is correct
16 Correct 6 ms 2936 KB Output is correct
17 Correct 19 ms 2936 KB Output is correct
18 Correct 419 ms 3420 KB Output is correct
19 Correct 193 ms 3320 KB Output is correct
20 Correct 216 ms 3192 KB Output is correct
21 Correct 385 ms 3320 KB Output is correct
22 Correct 167 ms 3328 KB Output is correct
23 Correct 344 ms 3464 KB Output is correct
24 Correct 142 ms 3324 KB Output is correct
25 Correct 6 ms 2936 KB Output is correct
26 Correct 419 ms 3448 KB Output is correct
27 Correct 147 ms 3064 KB Output is correct
28 Correct 154 ms 3064 KB Output is correct
29 Runtime error 93 ms 29560 KB Execution killed with signal 11 (could be triggered by violating memory limits)
30 Halted 0 ms 0 KB -