Submission #2977565


Source Code Expand

// need
#include <iostream>
#include <algorithm>

// data structure
#include <bitset>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <utility>
#include <vector>
#include <complex>
//#include <deque>
#include <valarray>

// stream
//#include <istream>
//#include <sstream>
//#include <ostream>
#include <fstream>

// etc
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>

// input
#define INIT std::ios::sync_with_stdio(false);std::cin.tie(0);
#define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__);
template<typename T> void MACRO_VAR_Scan(T& t) { std::cin >> t; }
template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest&...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); }
#define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int i=0; i<n; ++i){MACRO_VEC_ROW_Scan(i, __VA_ARGS__);}
template<typename T> void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Init(int n, First& first, Rest&...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); }
template<typename T> void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest&...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); }
#define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)std::cin>>i;
#define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& r:c)for(auto& i:r)std::cin>>i;

// output
#define OUT(d) std::cout<<(d);
#define FOUT(n, d) std::cout<<std::fixed<<std::setprecision(n)<<(d);
#define SOUT(n, c, d) std::cout<<std::setw(n)<<std::setfill(c)<<(d);
#define SP std::cout<<" ";
#define TAB std::cout<<"\t";
#define BR std::cout<<"\n";
#define SPBR(i, n) std::cout<<(i + 1 == n ? '\n' : ' ');
#define ENDL std::cout<<std::endl;
#define FLUSH std::cout<<std::flush;
#define SHOW(d) {std::cerr << #d << "\t:" << (d) << "\n";}
#define SHOWVECTOR(v) {std::cerr << #v << "\t:";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";}
#define SHOWVECTOR2(v) {std::cerr << #v << "\t:\n";for(const auto& xxx : v){for(const auto& yyy : xxx){std::cerr << yyy << " ";}std::cerr << "\n";}}
#define SHOWQUEUE(a) {auto tmp(a);std::cerr << #a << "\t:";while(!tmp.empty()){std::cerr << tmp.front() << " ";tmp.pop();}std::cerr << "\n";}

// utility
#define ALL(a) (a).begin(),(a).end()
#define FOR(i, a, b) for(int i=(a);i<(b);++i)
#define RFOR(i, a, b) for(int i=(b)-1;i>=(a);--i)
#define REP(i, n) for(int i=0;i<int(n);++i)
#define RREP(i, n) for(int i=int(n)-1;i>=0;--i)
#define FORLL(i, a, b) for(ll i=ll(a);i<ll(b);++i)
#define RFORLL(i, a, b) for(ll i=ll(b)-1;i>=ll(a);--i)
#define REPLL(i, n) for(ll i=0;i<ll(n);++i)
#define RREPLL(i, n) for(ll i=ll(n)-1;i>=0;--i)
#define IN(a, x, b) (a<=x && x<b)
template<typename T> inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; }
template<typename T> inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; }
#define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]"
#define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;}
void CHECKTIME(std::function<void()> f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast<std::chrono::nanoseconds>((end - start)).count(); std::cerr << "[Time:" << res << "ns  (" << res / (1.0e9) << "s)]\n"; }

// test
template<class T> std::vector<std::vector<T>> VV(int n, int m, T init = T()) {
	return std::vector<std::vector<T>>(n, std::vector<T>(m, init));
}
template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, std::pair<S, T> p) {
	os << "(" << p.first << ", " << p.second << ")"; return os;
}

// type/const
#define int ll
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PAIR = std::pair<int, int>;
using PAIRLL = std::pair<ll, ll>;
constexpr int INFINT = 1 << 30;                          // 1.07x10^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1;              // 2.15x10^ 9
constexpr ll INFLL = 1LL << 60;                          // 1.15x10^18
constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62);  // 9.22x10^18
constexpr double EPS = 1e-10;
constexpr int MOD = 1000000007;
constexpr double PI = 3.141592653589793238462643383279;

template<class T, size_t N> void FILL(T(&a)[N], const T& val) { for (auto& x : a) x = val; }
template<class ARY, size_t N, size_t M, class T> void FILL(ARY(&a)[N][M], const T& val) { for (auto& b : a) FILL(b, val); }
template<class T> void FILL(std::vector<T>& a, const T& val) { for (auto& x : a) x = val; }
template<class ARY, class T> void FILL(std::vector<std::vector<ARY>>& a, const T& val) { for (auto& b : a) FILL(b, val); }

// ------------>8------------------------------------->8------------

//Union-Find
class UnionFind {
private:
	std::vector<int> parent;
	std::vector<int> height;
	std::vector<int> m_size;

public:
	UnionFind(int size_) : parent(size_), height(size_, 0), m_size(size_, 1) {
		for (int i = 0; i < size_; ++i) parent[i] = i;
	}
	void init(int size_) {
		parent.resize(size_);
		height.resize(size_, 0);
		m_size.resize(size_, 0);
		for (int i = 0; i < size_; ++i) parent[i] = i;
	}
	int find(int x) {
		if (parent[x] == x) return x;
		return parent[x] = find(parent[x]);
	}
	void unite(int x, int y) {
		x = find(x);
		y = find(y);
		if (x == y) return;
		int t = size(x) + size(y);
		m_size[x] = m_size[y] = t;
		if (height[x] < height[y]) parent[x] = y;
		else parent[y] = x;
		if (height[x] == height[y]) ++height[x];
	}
	bool same(int x, int y) {
		return find(x) == find(y);
	}
	int size(int x) {
		if (parent[x] == x) return m_size[x];
		return size(parent[x] = find(parent[x]));
	}
};

signed main() {
	INIT;

	VAR(int, n, m, k);
	VEC(int, c, n);
	VEC_ROW(int, m, a, b, w);

	int sz = n + 1;
	{
		UnionFind uf(n);

		std::vector<int> col(n + 1, -1);
		REP(i, n) {
			if (c[i] == 0) continue;
			if (col[c[i]] == -1) {
				col[c[i]] = i;
			}
			else {
				uf.unite(col[c[i]], i);
			}
		}

		REP(i, m) {
			--a[i]; --b[i];
			a[i] = uf.find(a[i]);
			b[i] = uf.find(b[i]);
		}

		REP(i, n) {
			if (c[i] == 0) c[i] = sz++;
		}

		struct D { int a, b, w; };
		std::vector<D> d(m);
		REP(i, m) d[i] = D{ a[i], b[i], w[i] };
		std::sort(ALL(d), [&](const D& l, const D& r) {
			return l.w < r.w;
		});
		REP(i, m) {
			a[i] = d[i].a;
			b[i] = d[i].b;
			w[i] = d[i].w;
		}
	}

	int ans = 0;
	{
		UnionFind uf(sz);
		int cnt = 0;

		REP(i, m) {
			if (uf.same(a[i], b[i])) continue;
			++cnt;
			uf.unite(a[i], b[i]);
			ans += w[i];
			if (cnt == k - 1) break;
		}
		if (cnt < k - 1) {
			OUT(-1)BR;
			return 0;
		}
	}
	OUT(ans)BR;
	return 0;
}

Submission Info

Submission Time
Task A - Colorful MST
User satanic0258
Language C++14 (GCC 5.4.1)
Score 700
Code Size 7181 Byte
Status AC
Exec Time 50 ms
Memory 8960 KB

Judge Result

Set Name Sample Subtask1 Subtask2 Subtask3 Subtask4
Score / Max Score 0 / 0 100 / 100 100 / 100 200 / 200 300 / 300
Status
AC × 4
AC × 7
AC × 12
AC × 7
AC × 28
Set Name Test Cases
Sample 00_example_01.txt, 00_example_02.txt, 00_example_03.txt, 00_example_04.txt
Subtask1 00_example_03.txt, s1_01.txt, s1_02.txt, s1_03.txt, s1_04.txt, s1_05.txt, s1_06.txt
Subtask2 s1_01.txt, s1_02.txt, s1_03.txt, s1_04.txt, s1_05.txt, s1_06.txt, s2_07.txt, s2_08.txt, s2_09.txt, s2_10.txt, s2_11.txt, s2_12.txt
Subtask3 00_example_02.txt, s3_13.txt, s3_14.txt, s3_15.txt, s3_16.txt, s3_17.txt, s3_18.txt
Subtask4 00_example_01.txt, 00_example_02.txt, 00_example_03.txt, 00_example_04.txt, s1_01.txt, s1_02.txt, s1_03.txt, s1_04.txt, s1_05.txt, s1_06.txt, s2_07.txt, s2_08.txt, s2_09.txt, s2_10.txt, s2_11.txt, s2_12.txt, s3_13.txt, s3_14.txt, s3_15.txt, s3_16.txt, s3_17.txt, s3_18.txt, s4_19.txt, s4_20.txt, s4_21.txt, s4_22.txt, s4_23.txt, s4_24.txt
Case Name Status Exec Time Memory
00_example_01.txt AC 1 ms 256 KB
00_example_02.txt AC 1 ms 256 KB
00_example_03.txt AC 1 ms 256 KB
00_example_04.txt AC 1 ms 256 KB
s1_01.txt AC 1 ms 256 KB
s1_02.txt AC 48 ms 8832 KB
s1_03.txt AC 1 ms 256 KB
s1_04.txt AC 1 ms 256 KB
s1_05.txt AC 25 ms 6016 KB
s1_06.txt AC 47 ms 8832 KB
s2_07.txt AC 8 ms 1536 KB
s2_08.txt AC 50 ms 8832 KB
s2_09.txt AC 36 ms 6400 KB
s2_10.txt AC 33 ms 5888 KB
s2_11.txt AC 46 ms 8832 KB
s2_12.txt AC 46 ms 8832 KB
s3_13.txt AC 7 ms 1564 KB
s3_14.txt AC 47 ms 8832 KB
s3_15.txt AC 35 ms 6400 KB
s3_16.txt AC 34 ms 5888 KB
s3_17.txt AC 47 ms 8832 KB
s3_18.txt AC 44 ms 8832 KB
s4_19.txt AC 8 ms 1536 KB
s4_20.txt AC 48 ms 8960 KB
s4_21.txt AC 38 ms 6400 KB
s4_22.txt AC 36 ms 6016 KB
s4_23.txt AC 49 ms 8832 KB
s4_24.txt AC 49 ms 8960 KB