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답안 #1106914

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1106914 2024-10-31T09:11:05 Z thieunguyenhuy 통행료 (IOI18_highway) C++17
18 / 100
 160 ms 50024 KB 
#ifndef hwe
	#include "highway.h"
#endif

#include <bits/stdc++.h>
using namespace std;

#define popcount(n) (__builtin_popcountll((n)))
#define clz(n) (__builtin_clzll((n)))
#define ctz(n) (__builtin_ctzll((n)))
#define lg(n) (63 - __builtin_clzll((n)))
#define BIT(n, i) (((n) >> (i)) & 1ll)
#define MASK(i) (1ll << (i))
#define FLIP(n, i) ((n) ^ (1ll << (i)))
#define ON(n, i) ((n) | MASK(i))
#define OFF(n, i) ((n) & ~MASK(i))

#define Int __int128
#define fi first
#define se second

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef pair<long long, int> pli;
typedef pair<int, long long> pil;
typedef vector<pair<int, int>> vii;
typedef vector<pair<long long, long long>> vll;
typedef vector<pair<long long, int>> vli;
typedef vector<pair<int, long long>> vil;

template <class T1, class T2>
bool maximize(T1 &x, T2 y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}
template <class T1, class T2>
bool minimize(T1 &x, T2 y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}

template <class T>
void remove_duplicate(vector<T> &ve) {
    sort (ve.begin(), ve.end());
    ve.resize(unique(ve.begin(), ve.end()) - ve.begin());
}

mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
template <class T> T random(T l, T r) {
    return uniform_int_distribution<T>(l, r)(rng);
}
template <class T> T random(T r) {
    return rng() % r;
}

const int N = 90000 + 5;
const int MOD = 1e9 + 7;
const int inf = 1e9;
const ll INF = 1e18;

const int LIGHT = 0, HEAVY = 1;

int asked = 0, maxDepth, dep[N], e[N];
vii adj[N];
vector<int> ve[N];
map<vector<int>, ll> mem;

#ifdef hwe
namespace Grader {
	int n, m, s, t;
	ll dist[N];
	pii edges[N];
	vii adj[N];
	vector<int> w;

	void get() {
		cin >> n >> m >> s >> t;
	
		for (int i = 0; i < m; ++i) {
			int u, v; cin >> u >> v;
			adj[u].emplace_back(v, i), adj[v].emplace_back(u, i);
			edges[i] = make_pair(u, v);
		}
	}

	ll dijkstra(int s, int t) {
		memset(dist, 0x0f, sizeof dist); dist[s] = 0;
		priority_queue<pli, vli, greater<pli>> pq; pq.emplace(0, s);
		while (!pq.empty()) {
			int u = pq.top().se; pq.pop();
			// cerr << "dijkstra " << u << ' ' << dist[u] << '\n';
			for (auto [v, id] : adj[u]) if (minimize(dist[v], dist[u] + w[id])) {
				pq.emplace(dist[v], v);
			}
		}
		return dist[t];
	}

	ll ask(const vector<int> &_w) {
		w = _w; for (auto &x : w) ++x;
		return dijkstra(s, t);
	}
}

ll ask(const vector<int> &w) {
	return Grader::ask(w);
}

void answer(int s, int t) {
	cerr << "Answer " << s << ' ' << t << '\n';
}
#endif

ll myask(const vector<int> &w) {
	auto it = mem.find(w);
	if (it != mem.end()) return it->se;
	assert(++asked <= 60);
	return mem[w] = ask(w);
}

void dfs(int u, int fa) {
	maximize(maxDepth, dep[u]);
	for (auto [v, id] : adj[u]) if (v != fa) {
		dep[v] = dep[u] + 1, e[v] = id;
		ve[dep[v]].emplace_back(v);
		dfs(v, u);
	}
}

void find_pair(int n, vector<int> U, vector<int> V, int A, int B) {
	int m = U.size(); asked = 0;
	for (int i = 0; i < m; ++i) {
		adj[U[i]].emplace_back(V[i], i), adj[V[i]].emplace_back(U[i], i);
	}

	vector<int> w(m, LIGHT);
	ll fixed = myask(w); int numEdges = fixed / A;

	for (int i = 1; i < n; ++i) ve[i].clear();
	dep[0] = maxDepth = 0; dfs(0, -1); 

	int low = 1, high = maxDepth, depthT = 0;
	while (low <= high) {
		int mid = low + high >> 1; vector<int> w(m, HEAVY);
		for (int d = 1; d <= mid; ++d) for (auto v : ve[d]) {
			w[e[v]] = LIGHT;
		}
		if (myask(w) == fixed) high = (depthT = mid) - 1;
		else low = mid + 1;
	}

	low = 0, high = int(ve[depthT].size()) - 2; int posT = ve[depthT].size() - 1;
	while (low <= high) {
		int mid = low + high >> 1; vector<int> w(m, HEAVY);
		for (int i = 0; i <= mid; ++i) w[e[ve[depthT][i]]] = LIGHT;
		if (myask(w) < 1ll * numEdges * B) high = (posT = mid) - 1;
		else low = mid + 1;
	}
	int T = ve[depthT][posT];



	for (int i = 1; i < n; ++i) ve[i].clear();
	dep[T] = 0; dfs(T, -1); 

	low = 1, high = depthT; int depthS = 0;
	while (low <= high) {
		int mid = low + high >> 1; vector<int> w(m, HEAVY);
		for (int d = 1; d <= mid; ++d) for (auto v : ve[d]) {
			w[e[v]] = LIGHT;
		}
		if (myask(w) == fixed) high = (depthS = mid) - 1;
		else low = mid + 1;
	}

	// cerr << "depthS = " << depthS << '\n';
	// for (auto &x : ve[depthS]) cerr << x << ' ';
	// cerr << '\n';

	low = 0, high = int(ve[depthS].size()) - 1; int posS = ve[depthS].size() - 1;
	while (low <= high) {
		int mid = low + high >> 1; vector<int> w(m, HEAVY);
		for (int i = 0; i <= mid; ++i) w[e[ve[depthS][i]]] = LIGHT;
		// cerr << mid << ' ' << myask(w) << '\n';
		if (myask(w) < 1ll * numEdges * B) high = (posS = mid) - 1;
		else low = mid + 1;
	}
	int S = ve[depthS][posS];

	answer(S, T);
}

#ifdef hwe
signed main() {
    ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);

    #ifdef hwe
        freopen("input.inp", "r", stdin);
        freopen("output.out", "w", stdout);
    #else
        #define taskname ""
        if (fopen(taskname".inp", "r")) {
            freopen(taskname".inp", "r", stdin);
            freopen(taskname".out", "w", stdout);
        }
    #endif

    Grader::get();
    int n = Grader::n; vector<int> U, V;
    for (int i = 0; i < Grader::m; ++i) {
    	int u, v; tie(u, v) = Grader::edges[i];
    	U.emplace_back(u), V.emplace_back(v);
    }
    find_pair(n, U, V, 1, 2);

    cerr << '\n'; return 0;
}
#endif

Compilation message

highway.cpp: In function 'void find_pair(int, std::vector<int>, std::vector<int>, int, int)':
highway.cpp:153:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  153 |   int mid = low + high >> 1; vector<int> w(m, HEAVY);
      |             ~~~~^~~~~~
highway.cpp:163:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  163 |   int mid = low + high >> 1; vector<int> w(m, HEAVY);
      |             ~~~~^~~~~~
highway.cpp:177:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  177 |   int mid = low + high >> 1; vector<int> w(m, HEAVY);
      |             ~~~~^~~~~~
highway.cpp:191:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  191 |   int mid = low + high >> 1; vector<int> w(m, HEAVY);
      |             ~~~~^~~~~~

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 4688 KB Output is correct
2 Correct 1 ms 4688 KB Output is correct
3 Correct 2 ms 4688 KB Output is correct
4 Correct 2 ms 4688 KB Output is correct
5 Correct 1 ms 4540 KB Output is correct
6 Correct 2 ms 4688 KB Output is correct
7 Correct 2 ms 4688 KB Output is correct
8 Correct 2 ms 4688 KB Output is correct
9 Correct 2 ms 4688 KB Output is correct
10 Correct 2 ms 4688 KB Output is correct
11 Correct 2 ms 4688 KB Output is correct
12 Correct 2 ms 4688 KB Output is correct

Subtask #2
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 4688 KB Output is correct
2 Correct 11 ms 6480 KB Output is correct
3 Correct 117 ms 24740 KB Output is correct
4 Correct 120 ms 24632 KB Output is correct
5 Correct 118 ms 24676 KB Output is correct
6 Correct 109 ms 23248 KB Output is correct
7 Correct 110 ms 24676 KB Output is correct
8 Correct 104 ms 23240 KB Output is correct
9 Correct 104 ms 23384 KB Output is correct
10 Correct 105 ms 24476 KB Output is correct
11 Correct 111 ms 25816 KB Output is correct
12 Correct 128 ms 27256 KB Output is correct
13 Correct 118 ms 25608 KB Output is correct
14 Correct 116 ms 25560 KB Output is correct

Subtask #3
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 12 ms 7504 KB Output is correct
2 Correct 24 ms 10760 KB Output is correct
3 Correct 40 ms 13840 KB Output is correct
4 Correct 141 ms 33896 KB Output is correct
5 Correct 114 ms 33668 KB Output is correct
6 Correct 124 ms 34100 KB Output is correct
7 Correct 125 ms 34604 KB Output is correct
8 Correct 145 ms 34032 KB Output is correct
9 Correct 124 ms 34160 KB Output is correct

Subtask #4
0 / 33.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 4860 KB Output is correct
2 Correct 12 ms 6712 KB Output is correct
3 Correct 73 ms 17560 KB Output is correct
4 Correct 114 ms 23148 KB Output is correct
5 Correct 104 ms 21464 KB Output is correct
6 Correct 111 ms 22236 KB Output is correct
7 Correct 102 ms 20056 KB Output is correct
8 Correct 124 ms 21688 KB Output is correct
9 Correct 119 ms 25460 KB Output is correct
10 Correct 118 ms 24932 KB Output is correct
11 Runtime error 160 ms 50024 KB Execution killed with signal 11
12 Halted 0 ms 0 KB -

Subtask #5
0 / 18.0

# 결과 실행 시간 메모리 Grader output
1 Runtime error 59 ms 33608 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -

Subtask #6
0 / 31.0

# 결과 실행 시간 메모리 Grader output
1 Runtime error 60 ms 33484 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -