結果

問題 No.1442 I-wate Shortest Path Problem
ユーザー iaNTUiaNTU
提出日時 2021-02-01 19:06:52
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 479 ms / 3,000 ms
コード長 6,339 bytes
コンパイル時間 2,485 ms
コンパイル使用メモリ 213,044 KB
実行使用メモリ 47,820 KB
最終ジャッジ日時 2024-10-11 12:25:00
合計ジャッジ時間 10,537 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 12 ms
21,760 KB
testcase_01 AC 15 ms
21,632 KB
testcase_02 AC 20 ms
22,272 KB
testcase_03 AC 69 ms
23,552 KB
testcase_04 AC 20 ms
22,272 KB
testcase_05 AC 19 ms
22,144 KB
testcase_06 AC 71 ms
23,680 KB
testcase_07 AC 19 ms
22,144 KB
testcase_08 AC 65 ms
23,552 KB
testcase_09 AC 26 ms
22,784 KB
testcase_10 AC 76 ms
23,808 KB
testcase_11 AC 71 ms
23,936 KB
testcase_12 AC 327 ms
41,864 KB
testcase_13 AC 213 ms
40,064 KB
testcase_14 AC 278 ms
41,416 KB
testcase_15 AC 278 ms
40,744 KB
testcase_16 AC 353 ms
40,768 KB
testcase_17 AC 469 ms
41,092 KB
testcase_18 AC 468 ms
41,088 KB
testcase_19 AC 356 ms
41,344 KB
testcase_20 AC 468 ms
41,212 KB
testcase_21 AC 479 ms
40,832 KB
testcase_22 AC 182 ms
46,208 KB
testcase_23 AC 308 ms
47,820 KB
testcase_24 AC 188 ms
40,444 KB
testcase_25 AC 318 ms
44,288 KB
testcase_26 AC 220 ms
41,276 KB
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ソースコード

diff # 

// This solution is correct
// O(knlgn + k^2 q) (Should AC)
// Exported by Exporter.exe

// Included from Fast.cpp
// Compile flags -Wall -Wextra -Wshadow -D_GLIBCXX_ASSERTIONS -DDEBUG -ggdb3 -fmax-errors=2
#include <bits/stdc++.h>
using namespace std;
#define PB push_back
#define F first
#define S second
#define MP make_pair
#define MTP make_tuple
typedef long long int ll;

constexpr int kN = int(1E5 + 10);
constexpr int kLgn = 17;
// constexpr int kMod = 998244353;
// constexpr int kInf = 0x3f3f3f3f;
constexpr ll kInf = 0x3f3f3f3f3f3f3f3f;
// constexpr double kPi = acos(-1);
// constexpr double kEps = 1E-9;

template <typename T> T ABS(T n) {return n >= 0 ? n : -n;}


// Included from C:\Users\ianli\Desktop\CP\template\Various\Fast_IO.cpp
static inline char Get_Raw_Char() {
	static char buf[1 << 16], *p = buf, *end = buf;
	if (p == end) {
		if ((end = buf + fread(buf, 1, 1 << 16, stdin)) == buf) return '\0';
		p = buf;
	}
	return *p++;
}

static inline int Get_Digit() {
	char c = Get_Raw_Char();
	while (!isdigit(c)) c = Get_Raw_Char();
	return int(c - '0');
}

static inline int Get_PInt() {
	char c = Get_Raw_Char();
	int ret;
	while (!isdigit(c)) c = Get_Raw_Char();
	ret = int(c - '0');
	while (isdigit(c = Get_Raw_Char())) ret = ret * 10 + int(c - '0');
	return ret;
}

static inline int Get_Int() {
	char c = Get_Raw_Char();
	bool neg = false;
	int ret;
	while (!isdigit(c)) {
		if (c == '-') neg = true;
		c = Get_Raw_Char();
	}
	ret = int(c - '0');
	while (isdigit(c = Get_Raw_Char())) ret = ret * 10 + int(c - '0');
	if (neg) return -ret;
	return ret;
}

static inline long long int Get_ll() {
	char c = Get_Raw_Char();
	bool neg = false;
	long long int ret;
	while (!isdigit(c)) {
		if (c == '-') neg = true;
		c = Get_Raw_Char();
	}
	ret = int(c - '0');
	while (isdigit(c = Get_Raw_Char())) ret = ret * 10 + int(c - '0');
	if (neg) return -ret;
	return ret;
}

static inline long long int Get_Pll() {
	char c = Get_Raw_Char();
	long long int ret;
	while (!isdigit(c)) c = Get_Raw_Char();
	ret = int(c - '0');
	while (isdigit(c = Get_Raw_Char())) ret = ret * 10 + int(c - '0');
	return ret;
}

template <typename T> static inline void Read_P(T &n) {
	static_assert(is_integral<T>::value);
	char c = Get_Raw_Char();
	while (!isdigit(c)) c = Get_Raw_Char();
	n = int(c - '0');
	while (isdigit(c = Get_Raw_Char())) n = n * 10 + int(c - '0');
	return ;
}

template <typename T> static inline void Read(T &n) {
	static_assert(is_integral<T>::value);
	char c = Get_Raw_Char();
	bool neg = false;
	while (!isdigit(c)) {
		if (c == '-') neg = true;
		c = Get_Raw_Char();
	}
	n = int(c - '0');
	while (isdigit(c = Get_Raw_Char())) n = n * 10 + int(c - '0');
	if (neg) n = -n;
	return ;
}

template <typename T> static inline void Read_Digit(T &n) {
	static_assert(is_integral<T>::value);
	char c = Get_Raw_Char();
	while (!isdigit(c)) c = Get_Raw_Char();
	n = int(c - '0');
	return ;
}

template <typename T, typename... Targs> static inline void Read(T &n, Targs&... Fargs) {
	Read(n);
	return Read(Fargs...);
}

template <typename T, typename... Targs> static inline void Read_Digit(T &n, Targs&... Fargs) {
	Read_Digit(n);
	return Read_Digit(Fargs...);
}

template <typename T, typename... Targs> static inline void Read_P(T &n, Targs&... Fargs) {
	Read_P(n);
	return Read_P(Fargs...);
}
// End of C:\Users\ianli\Desktop\CP\template\Various\Fast_IO.cpp

int m[20], p[20], x[20][kN], u[kN], v[kN], dep[kN];
ll ans[kN], fa[kLgn][kN], dis[20][kN], dis_color[20][20];
vector<pair<int, int>> graph[kN];
bitset<kN> went;

void dfs(int cur, int from) {
	for (pair<int, int> i : graph[cur]) if (i.F != from) {
		fa[0][i.F] = cur;
		dis[0][i.F] = dis[0][cur] + i.S;
		dep[i.F] = dep[cur] + 1;
		dfs(i.F, cur);
	}
	return ;
}

int LCA(int l, int r) {
	if (dep[l] < dep[r]) swap(l, r);
	for (int i = kLgn - 1; i >= 0; i--) if (dep[fa[i][l]] >= dep[r]) l = fa[i][l];
	if (l == r) return l;
	for (int i = kLgn - 1; i >= 0; i--) if (fa[i][l] != fa[i][r]) l = fa[i][l], r = fa[i][r];
	return fa[0][l];
}

int main() {
	//ios::sync_with_stdio(false);
	//cin.tie(0);
	//freopen("file_name", "r", stdin);
	//freopen("file_name", "w", stdout);
	//fstream input, output;
	//input.open("file_name", ios::in);
	//output.open("file_name", ios::out);
	int n, k, q;
	scanf("%d%d", &n, &k);
	for (int i = 2; i <= n; i++) {
		int l, r, c;
		scanf("%d%d%d", &l, &r, &c);
		graph[l].PB(MP(r, c));
		graph[r].PB(MP(l, c));
	}
	for (int i = 1; i <= k; i++) {
		scanf("%d%d", &m[i], &p[i]);
		for (int j = 1; j <= m[i]; j++) scanf("%d", &x[i][j]);
	}

	scanf("%d", &q);
	for (int i = 1; i <= q; i++) scanf("%d%d", &u[i], &v[i]);

	// could be done in O(n) (tarjan's LCA)
	
	// O(nlgn)
	memset(dis, 0x3f, sizeof(dis));
	memset(dis_color, 0x3f, sizeof(dis_color));
	dis[0][1] = 0;
	dfs(1, 1);
	fa[0][1] = 1;
	for (int i = 1; i < kLgn; i++) for (int j = 1; j <= n; j++) fa[i][j] = fa[i - 1][fa[i - 1][j]];
	for (int i = 1; i <= q; i++) ans[i] = dis[0][u[i]] + dis[0][v[i]] - dis[0][LCA(u[i], v[i])] * 2;

		// O(k nlgn)
	for (int i = 1; i <= k; i++) {
		priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>>> pq;
		for (int j = 1; j <= m[i]; j++) pq.push(MP(dis[i][x[i][j]] = 0, x[i][j]));
		while (!pq.empty()) {
			int cur = pq.top().S;
			ll ndis = pq.top().F;
			pq.pop();
			if (ndis > dis[i][cur]) continue;
			for (pair<int, int> j : graph[cur]) if (dis[i][j.F] > ndis + j.S) 
				pq.push(MP(dis[i][j.F] = ndis + j.S, j.F));
		}
		for (int j = i + 1; j <= k; j++) for (int c = 1; c <= m[j]; c++) 
			dis_color[i][j] = min(dis_color[i][j], dis[i][x[j][c]]);
	}

	// O(k^3)
	for (int i = 1; i <= k; i++) dis_color[i][i] = 0;
	for (int i = 1; i <= k; i++) for (int j = i + 1; j <= k; j++) dis_color[j][i] = dis_color[i][j];

	for (int c = 1; c <= k; c++) for (int i = 1; i <= k; i++) for (int j = 1; j <= k; j++)
		dis_color[i][j] = min(dis_color[i][j], dis_color[i][c] + dis_color[c][j] + p[c]);

	for (int i = 1; i <= k; i++) for (int j = 1; j <= k; j++) 
		if (i == j) dis_color[i][j] += p[i];
		else dis_color[i][j] += p[i] + p[j];

	// O(k^2 q)
	for (int i = 1; i <= q; i++) for (int a = 1; a <= k; a++) for (int b = 1; b <= k; b++)
		ans[i] = min(ans[i], dis[a][u[i]] + dis[b][v[i]] + dis_color[a][b]);
	

	for (int i = 1; i <= q; i++) printf("%lld\n", ans[i]);
	//input.close();
	//output.close();
}
// End of Fast.cpp
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