답안 #766182

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
766182 2023-06-25T11:07:22 Z marvinthang Simurgh (IOI17_simurgh) C++17
100 / 100
117 ms 15852 KB
/*************************************
*    author: marvinthang             *
*    created: 25.06.2023 11:26:35    *
*************************************/

#include "simurgh.h"
#include <bits/stdc++.h>

using namespace std;

#define                  fi  first
#define                  se  second
#define                left  ___left
#define               right  ___right
#define                TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define             MASK(i)  (1LL << (i))
#define           BIT(x, i)  ((x) >> (i) & 1)
#define  __builtin_popcount  __builtin_popcountll
#define              ALL(v)  (v).begin(), (v).end()
#define           REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define          REPD(i, n)  for (int i = (n); i--; )
#define        FOR(i, a, b)  for (int i = (a), _b = (b); i < _b; ++i) 
#define       FORD(i, b, a)  for (int i = (b), _a = (a); --i >= _a; ) 
#define       FORE(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i) 
#define      FORDE(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i) 
#define        scan_op(...)  istream & operator >> (istream &in, __VA_ARGS__ &u)
#define       print_op(...)  ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
    #include "debug.h"
#else
    #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
    #define DB(...) 23
    #define db(...) 23
    #define debug(...) 23
#endif

template <class U, class V> scan_op(pair <U, V>)  { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>)  { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>)  { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")";  else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
template <class A, class B> bool minimize(A &a, B b)  { if (a > b) { a = b; return true; } return false; }
template <class A, class B> bool maximize(A &a, B b)  { if (a < b) { a = b; return true; } return false; }

struct DisjointSet {
    
    int n, *lab = nullptr;

    DisjointSet(int _n = 0) {
        resize(_n);
    }

    void reset(void) {
        memset(lab, -1, (n + 1) * sizeof(int));
    }

    void resize(int _n) {
         if (lab != nullptr) delete[] lab;
         n = _n;
         lab = new int[n + 1];
         reset();
    }

    int find(int u) {
        assert(u <= n);
        return lab[u] < 0 ? u : lab[u] = find(lab[u]);
    }

    bool connected(int u, int v) { return find(u) == find(v); }
    bool isRoot(int u) { return lab[u] < 0; }
    int size(int u) { return -lab[find(u)]; }

    bool join(int u, int v) {
        if ((u = find(u)) == (v = find(v))) return false;
        if (lab[u] > lab[v]) swap(u, v);
        lab[u] += lab[v];
        lab[v] = u;
        return true;
    }

};

using DSU = DisjointSet;

// end of template

const int MAX = 505;

int timeDfs;
vector <int> tree, r_edge, states;
vector <bool> used;
vector <vector <int>> adj;
vector <int> U, V, low, num, par, low_id, pos;

void dfs(int u) {
	num[u] = ++timeDfs;
	for (int id: adj[u]) if (!used[id]) {
		used[id] = true;
		if (u == V[id]) swap(U[id], V[id]);
		int v = V[id];
		if (!num[v]) {
			tree.push_back(id);
			par[v] = id;
			dfs(v);
			if (minimize(low[u], low[v])) low_id[u] = low_id[v];
			if (low[v] > num[u]) states[id] = 1;
		} else {
			r_edge.push_back(id);
			if (minimize(low[u], num[v])) low_id[u] = id;
		}
	}
}

vector <int> trace_path(int u, int p) {
	vector <int> res;
	while (u != p) {
		res.push_back(par[u]);
		u = U[par[u]];
	}
	return res;
}

vector <int> find_roads(int n, vector <int> u, vector <int> v) {
	int m = u.size();
	adj.assign(n, vector<int>());
	tree.clear();
	r_edge.clear();
	U = u; V = v;
	timeDfs = 0;
	num.assign(n, 0);
	low.assign(n, MAX);
	par.assign(n, 0);
	low_id.assign(n, 0);
	pos.assign(m, -1);
	used.assign(m, false);
	states.assign(m, -1);
	REP(i, m) {
		adj[U[i]].push_back(i);
		adj[V[i]].push_back(i);
	}
	dfs(0);
	REP(i, n - 1) pos[tree[i]] = i;
	int cur = count_common_roads(tree);
	for (int e1: tree) if (!~states[e1]) {
		int e2 = low_id[V[e1]];
		vector <int> p = trace_path(U[e2], V[e2]);
		swap(*find(ALL(p), e1), p[0]);
		REP(i, p.size()) {
			int e = p[i];
			tree[pos[e]] = e2;
			int nxt = count_common_roads(tree);
			tree[pos[e]] = e;
			if (nxt != cur) {
				states[e2] = nxt > cur;
				states[e] = nxt < cur;
				REP(j, i) states[p[j]] = states[e2];
				break;
			} else if (~states[e]) {
				states[e2] = states[e];
				REP(j, i) states[p[j]] = states[e];
				break;
			}
		}
		if (!~states[e1]) for (int e: p) states[e] = 0;
	}
	REP(u, n) {
		vector <int> f;
		for (int id: adj[u]) if (!~states[id]) f.push_back(id);
		while (true) {
			auto ask = [&] (int p) {
				if (!p) return 0;
				vector <int> a(f.begin(), f.begin() + p);
				DSU dsu(n);
				for (int x: a) dsu.join(U[x], V[x]);
				int cnt = 0;
				for (int x: tree) if (dsu.join(U[x], V[x])) {
					cnt += states[x];
					a.push_back(x);
				}
				return count_common_roads(a) - cnt;
			};
			int x = ask(f.size());
			if (!x) {
				for (int e: f) states[e] = 0;
				break;
			}
			int l = 0, r = (int) f.size() - 1;
			while (l <= r) {
				int m = l + r >> 1;
				if (ask(m + 1) == x) r = m - 1;
				else l = m + 1;
			}
			while (f.size() > l) {
				states[f.back()] = (int) f.size() == l + 1;
				f.pop_back();
			}
		}
	}
	vector <int> res;
	REP(i, m) if (states[i] == 1) res.push_back(i);	
	return res;
}

#ifdef LOCAL
#include "simurgh.h"

#include <cstdio>
#include <cassert>
#include <vector>
#include <cstdlib>
#include <string>

using namespace std;

static int MAXQ = 30000;

static int n, m, q = 0;
static vector<int> u, v;
static vector<bool> goal;

static void wrong_answer() {
	printf("NO\n");
	exit(0);
}

static bool is_valid(const vector<int>& r) {
	if(int(r.size()) != n - 1)
		return false;

	for(int i = 0; i < n - 1; i++)
		if (r[i] < 0 || r[i] >= m)
			return false;

	return true;
}

static int _count_common_roads_internal(const vector<int>& r) {
	if(!is_valid(r))
		wrong_answer();

	int common = 0;
	for(int i = 0; i < n - 1; i++) {
		bool is_common = goal[r[i]];
		if (is_common)
			common++;
	}

	return common;	
}

int count_common_roads(const vector<int>& r) {
	q++;
	if(q > MAXQ)
		wrong_answer();

	return _count_common_roads_internal(r);
}

int main() {
	file("simurgh");
	assert(2 == scanf("%d %d", &n, &m));

	u.resize(m);
	v.resize(m);

	for(int i = 0; i < m; i++)
		assert(2 == scanf("%d %d", &u[i], &v[i]));

	goal.resize(m, false);

	for(int i = 0; i < n - 1; i++) {
		int id;
		assert(1 == scanf("%d", &id));
		goal[id] = true;
	}

	vector<int> res = find_roads(n, u, v);

	if(_count_common_roads_internal(res) != n - 1)
		wrong_answer();
	printf("YES\n");
	printf("q = %d\n", q);

	return 0;
}
#endif

Compilation message

simurgh.cpp: In function 'std::vector<int> find_roads(int, std::vector<int>, std::vector<int>)':
simurgh.cpp:190:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  190 |     int m = l + r >> 1;
      |             ~~^~~
simurgh.cpp:194:20: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  194 |    while (f.size() > l) {
      |           ~~~~~~~~~^~~
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB correct
2 Correct 0 ms 212 KB correct
3 Correct 0 ms 212 KB correct
4 Correct 1 ms 212 KB correct
5 Correct 0 ms 212 KB correct
6 Correct 0 ms 212 KB correct
7 Correct 1 ms 212 KB correct
8 Correct 0 ms 212 KB correct
9 Correct 0 ms 212 KB correct
10 Correct 0 ms 212 KB correct
11 Correct 0 ms 212 KB correct
12 Correct 0 ms 212 KB correct
13 Correct 0 ms 212 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB correct
2 Correct 0 ms 212 KB correct
3 Correct 0 ms 212 KB correct
4 Correct 1 ms 212 KB correct
5 Correct 0 ms 212 KB correct
6 Correct 0 ms 212 KB correct
7 Correct 1 ms 212 KB correct
8 Correct 0 ms 212 KB correct
9 Correct 0 ms 212 KB correct
10 Correct 0 ms 212 KB correct
11 Correct 0 ms 212 KB correct
12 Correct 0 ms 212 KB correct
13 Correct 0 ms 212 KB correct
14 Correct 1 ms 340 KB correct
15 Correct 1 ms 340 KB correct
16 Correct 1 ms 340 KB correct
17 Correct 1 ms 340 KB correct
18 Correct 1 ms 340 KB correct
19 Correct 1 ms 340 KB correct
20 Correct 1 ms 340 KB correct
21 Correct 2 ms 340 KB correct
22 Correct 1 ms 340 KB correct
23 Correct 1 ms 340 KB correct
24 Correct 1 ms 340 KB correct
25 Correct 0 ms 212 KB correct
26 Correct 1 ms 340 KB correct
27 Correct 1 ms 340 KB correct
28 Correct 1 ms 212 KB correct
29 Correct 1 ms 212 KB correct
30 Correct 1 ms 340 KB correct
31 Correct 1 ms 340 KB correct
32 Correct 1 ms 340 KB correct
33 Correct 1 ms 340 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB correct
2 Correct 0 ms 212 KB correct
3 Correct 0 ms 212 KB correct
4 Correct 1 ms 212 KB correct
5 Correct 0 ms 212 KB correct
6 Correct 0 ms 212 KB correct
7 Correct 1 ms 212 KB correct
8 Correct 0 ms 212 KB correct
9 Correct 0 ms 212 KB correct
10 Correct 0 ms 212 KB correct
11 Correct 0 ms 212 KB correct
12 Correct 0 ms 212 KB correct
13 Correct 0 ms 212 KB correct
14 Correct 1 ms 340 KB correct
15 Correct 1 ms 340 KB correct
16 Correct 1 ms 340 KB correct
17 Correct 1 ms 340 KB correct
18 Correct 1 ms 340 KB correct
19 Correct 1 ms 340 KB correct
20 Correct 1 ms 340 KB correct
21 Correct 2 ms 340 KB correct
22 Correct 1 ms 340 KB correct
23 Correct 1 ms 340 KB correct
24 Correct 1 ms 340 KB correct
25 Correct 0 ms 212 KB correct
26 Correct 1 ms 340 KB correct
27 Correct 1 ms 340 KB correct
28 Correct 1 ms 212 KB correct
29 Correct 1 ms 212 KB correct
30 Correct 1 ms 340 KB correct
31 Correct 1 ms 340 KB correct
32 Correct 1 ms 340 KB correct
33 Correct 1 ms 340 KB correct
34 Correct 19 ms 3588 KB correct
35 Correct 19 ms 3580 KB correct
36 Correct 16 ms 3196 KB correct
37 Correct 5 ms 1028 KB correct
38 Correct 19 ms 3596 KB correct
39 Correct 18 ms 3300 KB correct
40 Correct 16 ms 3108 KB correct
41 Correct 19 ms 3540 KB correct
42 Correct 19 ms 3552 KB correct
43 Correct 8 ms 1748 KB correct
44 Correct 7 ms 1460 KB correct
45 Correct 8 ms 1644 KB correct
46 Correct 7 ms 1492 KB correct
47 Correct 6 ms 1108 KB correct
48 Correct 2 ms 340 KB correct
49 Correct 3 ms 724 KB correct
50 Correct 5 ms 1108 KB correct
51 Correct 10 ms 1620 KB correct
52 Correct 7 ms 1620 KB correct
53 Correct 7 ms 1492 KB correct
54 Correct 8 ms 1748 KB correct
55 Correct 8 ms 1556 KB correct
56 Correct 7 ms 1492 KB correct
57 Correct 7 ms 1492 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB correct
2 Correct 0 ms 212 KB correct
3 Correct 56 ms 10128 KB correct
4 Correct 90 ms 15744 KB correct
5 Correct 91 ms 15792 KB correct
6 Correct 95 ms 15460 KB correct
7 Correct 85 ms 15588 KB correct
8 Correct 87 ms 15484 KB correct
9 Correct 89 ms 15536 KB correct
10 Correct 91 ms 15796 KB correct
11 Correct 93 ms 15672 KB correct
12 Correct 94 ms 15836 KB correct
13 Correct 0 ms 212 KB correct
14 Correct 92 ms 15328 KB correct
15 Correct 92 ms 15720 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB correct
2 Correct 0 ms 212 KB correct
3 Correct 0 ms 212 KB correct
4 Correct 1 ms 212 KB correct
5 Correct 0 ms 212 KB correct
6 Correct 0 ms 212 KB correct
7 Correct 1 ms 212 KB correct
8 Correct 0 ms 212 KB correct
9 Correct 0 ms 212 KB correct
10 Correct 0 ms 212 KB correct
11 Correct 0 ms 212 KB correct
12 Correct 0 ms 212 KB correct
13 Correct 0 ms 212 KB correct
14 Correct 1 ms 340 KB correct
15 Correct 1 ms 340 KB correct
16 Correct 1 ms 340 KB correct
17 Correct 1 ms 340 KB correct
18 Correct 1 ms 340 KB correct
19 Correct 1 ms 340 KB correct
20 Correct 1 ms 340 KB correct
21 Correct 2 ms 340 KB correct
22 Correct 1 ms 340 KB correct
23 Correct 1 ms 340 KB correct
24 Correct 1 ms 340 KB correct
25 Correct 0 ms 212 KB correct
26 Correct 1 ms 340 KB correct
27 Correct 1 ms 340 KB correct
28 Correct 1 ms 212 KB correct
29 Correct 1 ms 212 KB correct
30 Correct 1 ms 340 KB correct
31 Correct 1 ms 340 KB correct
32 Correct 1 ms 340 KB correct
33 Correct 1 ms 340 KB correct
34 Correct 19 ms 3588 KB correct
35 Correct 19 ms 3580 KB correct
36 Correct 16 ms 3196 KB correct
37 Correct 5 ms 1028 KB correct
38 Correct 19 ms 3596 KB correct
39 Correct 18 ms 3300 KB correct
40 Correct 16 ms 3108 KB correct
41 Correct 19 ms 3540 KB correct
42 Correct 19 ms 3552 KB correct
43 Correct 8 ms 1748 KB correct
44 Correct 7 ms 1460 KB correct
45 Correct 8 ms 1644 KB correct
46 Correct 7 ms 1492 KB correct
47 Correct 6 ms 1108 KB correct
48 Correct 2 ms 340 KB correct
49 Correct 3 ms 724 KB correct
50 Correct 5 ms 1108 KB correct
51 Correct 10 ms 1620 KB correct
52 Correct 7 ms 1620 KB correct
53 Correct 7 ms 1492 KB correct
54 Correct 8 ms 1748 KB correct
55 Correct 8 ms 1556 KB correct
56 Correct 7 ms 1492 KB correct
57 Correct 7 ms 1492 KB correct
58 Correct 0 ms 212 KB correct
59 Correct 0 ms 212 KB correct
60 Correct 56 ms 10128 KB correct
61 Correct 90 ms 15744 KB correct
62 Correct 91 ms 15792 KB correct
63 Correct 95 ms 15460 KB correct
64 Correct 85 ms 15588 KB correct
65 Correct 87 ms 15484 KB correct
66 Correct 89 ms 15536 KB correct
67 Correct 91 ms 15796 KB correct
68 Correct 93 ms 15672 KB correct
69 Correct 94 ms 15836 KB correct
70 Correct 0 ms 212 KB correct
71 Correct 92 ms 15328 KB correct
72 Correct 92 ms 15720 KB correct
73 Correct 0 ms 212 KB correct
74 Correct 98 ms 15780 KB correct
75 Correct 90 ms 15456 KB correct
76 Correct 45 ms 8108 KB correct
77 Correct 95 ms 15740 KB correct
78 Correct 94 ms 15760 KB correct
79 Correct 93 ms 15852 KB correct
80 Correct 117 ms 15572 KB correct
81 Correct 81 ms 14656 KB correct
82 Correct 90 ms 15556 KB correct
83 Correct 65 ms 11940 KB correct
84 Correct 38 ms 7328 KB correct
85 Correct 34 ms 6952 KB correct
86 Correct 28 ms 5584 KB correct
87 Correct 25 ms 5136 KB correct
88 Correct 22 ms 4240 KB correct
89 Correct 22 ms 4432 KB correct
90 Correct 20 ms 4020 KB correct
91 Correct 10 ms 1748 KB correct
92 Correct 4 ms 724 KB correct
93 Correct 33 ms 6832 KB correct
94 Correct 35 ms 5640 KB correct
95 Correct 30 ms 5708 KB correct
96 Correct 22 ms 4244 KB correct
97 Correct 23 ms 4424 KB correct
98 Correct 24 ms 4936 KB correct
99 Correct 23 ms 4336 KB correct
100 Correct 14 ms 2752 KB correct
101 Correct 8 ms 980 KB correct
102 Correct 32 ms 5812 KB correct
103 Correct 34 ms 6100 KB correct
104 Correct 32 ms 5892 KB correct
105 Correct 33 ms 5832 KB correct