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Submission #56088

# Submission time Handle Problem Language Result Execution time Memory
56088 2018-07-09T22:06:30 Z Benq Simurgh (IOI17_simurgh) C++14
100 / 100
 715 ms 10596 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
 
using namespace std;
using namespace __gnu_pbds;
 
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 sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
 
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;
 
#include "simurgh.h"
 
template<int SZ> struct DSU {
    int par[SZ], sz[SZ];
    DSU() {
        F0R(i,SZ) par[i] = i, sz[i] = 1;
    }
    
    int get(int x) { // path compression
    	if (par[x] != x) par[x] = get(par[x]);
    	return par[x];
    }
    
    bool unite(int x, int y) { // union-by-rank
    	x = get(x), y = get(y);
    	if (x == y) return 0;
    	if (sz[x] < sz[y]) swap(x,y);
    	sz[x] += sz[y], par[y] = x;
    	return 1;
    }
};

int N;
vpi ed;
set<int> yes, maybe;
 
//////
/*int sec[500*499/2];
int co;
 
int count_common_roads(vi z) {
    co ++;
    // cout << "HA " << N << " " << sz(z) << "\n";
    assert(sz(z) == N-1);
    DSU<500> D = DSU<500>();
    int ret = 0;
    for (int i: z) {
        if (!D.unite(ed[i].f,ed[i].s)) exit(5);
        if (sec[i]) ret ++;
    }
    return ret;
}*/
//////

vpi ctree;
vpi adj[500];
pi par[500];
int depth[500], status[500*499/2]; // 1 = in, -1 = not

int query(vi x) {
    DSU<500> D; for (int i: x) D.unite(ed[i].f,ed[i].s);
    int ad = 0;
    for (auto a: ctree) if (D.unite(ed[a.f].f,ed[a.f].s)) {
        ad += a.s;
        x.pb(a.f);
    }
    //cout << "OH " << sz(x) << "\n";
    //return 0;
    return count_common_roads(x)-ad;
}

void genDepth(int cur) {
    depth[cur] = depth[par[cur].f]+1;
    for (auto a: adj[cur]) if (a.f != par[cur].f) {
        par[a.f] = {cur,a.s};
        genDepth(a.f);
    }
}

void check(int x) {
    int a = ed[x].f, b = ed[x].s;
    vi tmp = {x};
    bool need = 0;
    while (a != b) {
        if (depth[a] < depth[b]) swap(a,b);
        tmp.pb(par[a].s);
        if (status[par[a].s] == 0) need = 1;
        a = par[a].f;
    }
    if (!need || sz(tmp) == 2) return;
    int mx = -MOD;
    
    for (int i: tmp) if (status[i] != 0) {
        vi v;
        for (int j: tmp) if (j != i) v.pb(j);
        mx = query(v);
        if (status[i] == 1) mx ++;
        break;
    }
    
    vpi TMP;
    for (int i: tmp) if (status[i] == 0) {
        vi v;
        for (int j: tmp) if (j != i) v.pb(j);
        int t = query(v);
        mx = max(mx,t);
        TMP.pb({t,i});
    }
    
    for (auto a: TMP) {
        if (a.f < mx) {
            status[a.s] = 1;
        } else {
            status[a.s] = -1;
        }
    }
}

void addEdge(int x) {
    adj[ed[x].f].pb({ed[x].s,x});
    adj[ed[x].s].pb({ed[x].f,x});
    ctree.pb({x,0});
}

void init() {
    DSU<500> D;
    for (int i: maybe) if (D.unite(ed[i].f,ed[i].s)) addEdge(i);
    genDepth(0);
    for (int i: maybe) check(i);
    for (auto& a: ctree) {
        maybe.erase(a.f);
        if (status[a.f] == 0) status[a.f] = 1;
        a.s = (status[a.f]+1)/2;
        if (a.s) yes.insert(a.f);
        // cout << a.f << " " << a.s << "\n";
    }
    // exit(0);
}

void search(vi x, int num) {
    /*for (int i: x) cout << i << " ";
    cout << "\n";
    cout << num << "\n";*/
    if (num == 0) {
        return;
    }
    if (num == sz(x)) {
        for (int i: x) yes.insert(i);
        return;
    }
    vi X = vi(x.begin(),x.begin()+sz(x)/2);
    int n1 = query(X);
    search(X,n1);
    search(vi(x.begin()+sz(x)/2,x.end()),num-n1);
}
 
vector<int> find_roads(int n, vi u, vi v) {
    yes.clear(), maybe.clear();
    
    N = n;
    ed.resize(sz(u));
    F0R(i,sz(u)) {
        ed[i].f = u[i], ed[i].s = v[i];
        maybe.insert(i);
    }
    
    init();
    
    while (sz(yes) < n-1) {
        DSU<500> D;
        vi tmp;
        for (int x: maybe) if (D.unite(ed[x].f,ed[x].s)) tmp.pb(x);
        for (int x: tmp) maybe.erase(x);
        search(tmp, query(tmp));
    }
    
    vi ans; for (int i: yes) ans.pb(i);
    return ans;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 376 KB correct
2 Correct 3 ms 376 KB correct
3 Correct 3 ms 416 KB correct
4 Correct 2 ms 496 KB correct
5 Correct 2 ms 536 KB correct
6 Correct 2 ms 544 KB correct
7 Correct 2 ms 648 KB correct
8 Correct 2 ms 648 KB correct
9 Correct 2 ms 648 KB correct
10 Correct 3 ms 648 KB correct
11 Correct 2 ms 648 KB correct
12 Correct 2 ms 648 KB correct
13 Correct 2 ms 648 KB correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 376 KB correct
2 Correct 3 ms 376 KB correct
3 Correct 3 ms 416 KB correct
4 Correct 2 ms 496 KB correct
5 Correct 2 ms 536 KB correct
6 Correct 2 ms 544 KB correct
7 Correct 2 ms 648 KB correct
8 Correct 2 ms 648 KB correct
9 Correct 2 ms 648 KB correct
10 Correct 3 ms 648 KB correct
11 Correct 2 ms 648 KB correct
12 Correct 2 ms 648 KB correct
13 Correct 2 ms 648 KB correct
14 Correct 5 ms 648 KB correct
15 Correct 5 ms 648 KB correct
16 Correct 5 ms 748 KB correct
17 Correct 5 ms 748 KB correct
18 Correct 3 ms 748 KB correct
19 Correct 4 ms 748 KB correct
20 Correct 5 ms 748 KB correct
21 Correct 5 ms 748 KB correct
22 Correct 4 ms 748 KB correct
23 Correct 3 ms 748 KB correct
24 Correct 3 ms 748 KB correct
25 Correct 2 ms 748 KB correct
26 Correct 3 ms 748 KB correct
27 Correct 3 ms 748 KB correct
28 Correct 3 ms 748 KB correct
29 Correct 2 ms 748 KB correct
30 Correct 3 ms 748 KB correct
31 Correct 2 ms 748 KB correct
32 Correct 3 ms 748 KB correct
33 Correct 4 ms 748 KB correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 376 KB correct
2 Correct 3 ms 376 KB correct
3 Correct 3 ms 416 KB correct
4 Correct 2 ms 496 KB correct
5 Correct 2 ms 536 KB correct
6 Correct 2 ms 544 KB correct
7 Correct 2 ms 648 KB correct
8 Correct 2 ms 648 KB correct
9 Correct 2 ms 648 KB correct
10 Correct 3 ms 648 KB correct
11 Correct 2 ms 648 KB correct
12 Correct 2 ms 648 KB correct
13 Correct 2 ms 648 KB correct
14 Correct 5 ms 648 KB correct
15 Correct 5 ms 648 KB correct
16 Correct 5 ms 748 KB correct
17 Correct 5 ms 748 KB correct
18 Correct 3 ms 748 KB correct
19 Correct 4 ms 748 KB correct
20 Correct 5 ms 748 KB correct
21 Correct 5 ms 748 KB correct
22 Correct 4 ms 748 KB correct
23 Correct 3 ms 748 KB correct
24 Correct 3 ms 748 KB correct
25 Correct 2 ms 748 KB correct
26 Correct 3 ms 748 KB correct
27 Correct 3 ms 748 KB correct
28 Correct 3 ms 748 KB correct
29 Correct 2 ms 748 KB correct
30 Correct 3 ms 748 KB correct
31 Correct 2 ms 748 KB correct
32 Correct 3 ms 748 KB correct
33 Correct 4 ms 748 KB correct
34 Correct 106 ms 2688 KB correct
35 Correct 104 ms 2688 KB correct
36 Correct 67 ms 2688 KB correct
37 Correct 16 ms 2688 KB correct
38 Correct 90 ms 2688 KB correct
39 Correct 79 ms 2688 KB correct
40 Correct 75 ms 2688 KB correct
41 Correct 91 ms 2688 KB correct
42 Correct 97 ms 2688 KB correct
43 Correct 18 ms 2688 KB correct
44 Correct 15 ms 2688 KB correct
45 Correct 18 ms 2688 KB correct
46 Correct 14 ms 2688 KB correct
47 Correct 11 ms 2688 KB correct
48 Correct 4 ms 2688 KB correct
49 Correct 6 ms 2688 KB correct
50 Correct 9 ms 2688 KB correct
51 Correct 20 ms 2688 KB correct
52 Correct 15 ms 2688 KB correct
53 Correct 14 ms 2688 KB correct
54 Correct 24 ms 2688 KB correct
55 Correct 18 ms 2688 KB correct
56 Correct 19 ms 2688 KB correct
57 Correct 24 ms 2688 KB correct

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB correct
2 Correct 3 ms 2688 KB correct
3 Correct 450 ms 6396 KB correct
4 Correct 702 ms 9468 KB correct
5 Correct 715 ms 9468 KB correct
6 Correct 681 ms 9468 KB correct
7 Correct 619 ms 9536 KB correct
8 Correct 638 ms 9536 KB correct
9 Correct 620 ms 9536 KB correct
10 Correct 686 ms 9596 KB correct
11 Correct 601 ms 9596 KB correct
12 Correct 599 ms 9600 KB correct
13 Correct 2 ms 9600 KB correct
14 Correct 676 ms 9600 KB correct
15 Correct 623 ms 9600 KB correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 376 KB correct
2 Correct 3 ms 376 KB correct
3 Correct 3 ms 416 KB correct
4 Correct 2 ms 496 KB correct
5 Correct 2 ms 536 KB correct
6 Correct 2 ms 544 KB correct
7 Correct 2 ms 648 KB correct
8 Correct 2 ms 648 KB correct
9 Correct 2 ms 648 KB correct
10 Correct 3 ms 648 KB correct
11 Correct 2 ms 648 KB correct
12 Correct 2 ms 648 KB correct
13 Correct 2 ms 648 KB correct
14 Correct 5 ms 648 KB correct
15 Correct 5 ms 648 KB correct
16 Correct 5 ms 748 KB correct
17 Correct 5 ms 748 KB correct
18 Correct 3 ms 748 KB correct
19 Correct 4 ms 748 KB correct
20 Correct 5 ms 748 KB correct
21 Correct 5 ms 748 KB correct
22 Correct 4 ms 748 KB correct
23 Correct 3 ms 748 KB correct
24 Correct 3 ms 748 KB correct
25 Correct 2 ms 748 KB correct
26 Correct 3 ms 748 KB correct
27 Correct 3 ms 748 KB correct
28 Correct 3 ms 748 KB correct
29 Correct 2 ms 748 KB correct
30 Correct 3 ms 748 KB correct
31 Correct 2 ms 748 KB correct
32 Correct 3 ms 748 KB correct
33 Correct 4 ms 748 KB correct
34 Correct 106 ms 2688 KB correct
35 Correct 104 ms 2688 KB correct
36 Correct 67 ms 2688 KB correct
37 Correct 16 ms 2688 KB correct
38 Correct 90 ms 2688 KB correct
39 Correct 79 ms 2688 KB correct
40 Correct 75 ms 2688 KB correct
41 Correct 91 ms 2688 KB correct
42 Correct 97 ms 2688 KB correct
43 Correct 18 ms 2688 KB correct
44 Correct 15 ms 2688 KB correct
45 Correct 18 ms 2688 KB correct
46 Correct 14 ms 2688 KB correct
47 Correct 11 ms 2688 KB correct
48 Correct 4 ms 2688 KB correct
49 Correct 6 ms 2688 KB correct
50 Correct 9 ms 2688 KB correct
51 Correct 20 ms 2688 KB correct
52 Correct 15 ms 2688 KB correct
53 Correct 14 ms 2688 KB correct
54 Correct 24 ms 2688 KB correct
55 Correct 18 ms 2688 KB correct
56 Correct 19 ms 2688 KB correct
57 Correct 24 ms 2688 KB correct
58 Correct 2 ms 2688 KB correct
59 Correct 3 ms 2688 KB correct
60 Correct 450 ms 6396 KB correct
61 Correct 702 ms 9468 KB correct
62 Correct 715 ms 9468 KB correct
63 Correct 681 ms 9468 KB correct
64 Correct 619 ms 9536 KB correct
65 Correct 638 ms 9536 KB correct
66 Correct 620 ms 9536 KB correct
67 Correct 686 ms 9596 KB correct
68 Correct 601 ms 9596 KB correct
69 Correct 599 ms 9600 KB correct
70 Correct 2 ms 9600 KB correct
71 Correct 676 ms 9600 KB correct
72 Correct 623 ms 9600 KB correct
73 Correct 2 ms 9600 KB correct
74 Correct 647 ms 9608 KB correct
75 Correct 697 ms 9608 KB correct
76 Correct 153 ms 9608 KB correct
77 Correct 487 ms 9608 KB correct
78 Correct 532 ms 9608 KB correct
79 Correct 629 ms 9608 KB correct
80 Correct 671 ms 9608 KB correct
81 Correct 437 ms 9608 KB correct
82 Correct 673 ms 9608 KB correct
83 Correct 246 ms 9608 KB correct
84 Correct 92 ms 9608 KB correct
85 Correct 93 ms 9608 KB correct
86 Correct 57 ms 9608 KB correct
87 Correct 46 ms 9608 KB correct
88 Correct 38 ms 9608 KB correct
89 Correct 37 ms 9608 KB correct
90 Correct 33 ms 9608 KB correct
91 Correct 15 ms 9608 KB correct
92 Correct 11 ms 9608 KB correct
93 Correct 78 ms 9608 KB correct
94 Correct 56 ms 9608 KB correct
95 Correct 69 ms 9608 KB correct
96 Correct 40 ms 9608 KB correct
97 Correct 42 ms 9608 KB correct
98 Correct 51 ms 9608 KB correct
99 Correct 43 ms 9608 KB correct
100 Correct 36 ms 9608 KB correct
101 Correct 17 ms 9608 KB correct
102 Correct 86 ms 9608 KB correct
103 Correct 103 ms 9640 KB correct
104 Correct 86 ms 10232 KB correct
105 Correct 92 ms 10596 KB correct