제출 #1181320

#제출 시각아이디문제언어결과실행 시간메모리
1181320jbarejaRope (JOI17_rope)C++20
80 / 100
123 ms98600 KiB
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

constexpr int MAX_N = 1e6+7;
constexpr int MAX_M = 5e3+7;

int N; // liczba węzłów
int M; // liczba kolorów

int C[MAX_N];
int ans[MAX_M];
int cnt_color[MAX_M];

int M_1[MAX_M][MAX_M];
int M_2[MAX_M][MAX_M];
int with_one_1[MAX_M];
int with_one_2[MAX_M];
int with_any_1[MAX_M];
int with_any_2[MAX_M];
int cnt_pairs_1 = 0;
int cnt_pairs_2 = 0;
int last1 = 0;
int first2 = 0;
int last2 = 0;

int cost(int a, int b) {
	int pairs_ab_1 = M_1[a][b];
	int cost1 = with_one_1[a] + with_one_1[b] - pairs_ab_1 + 2 * (cnt_pairs_1 - with_any_1[a] - with_any_1[b] + pairs_ab_1) + (last1 != a && last1 != b && last1 != 0);

	int pairs_ab_2 = M_2[a][b];
	int cost2 = with_one_2[a] + with_one_2[b] - pairs_ab_2 + 2 * (cnt_pairs_2 - with_any_2[a] - with_any_2[b] + pairs_ab_2) + (first2 != a && first2 != b && first2 != 0) + (last2 != a && last2 != b && last2 != 0);
	
	return min(cost1, cost2);
}

int main() {
	ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);

	cin >> N >> M;

	for (int i=1; i<=N; i++) {
		cin >> C[i];
		cnt_color[C[i]]++;
	}

	for (int i=1; i<=M; i++) ans[i] = N - cnt_color[i];

	for (int i=1; i+1<=N; i+=2) {
		M_1[C[i]][C[i+1]]++;
		M_1[C[i+1]][C[i]]++;
		cnt_pairs_1++;
		if (C[i] == C[i+1]) with_any_1[C[i]]++;
		else with_one_1[C[i]]++, with_one_1[C[i+1]]++, with_any_1[C[i]]++, with_any_1[C[i+1]]++;
	}
	if (N % 2 == 1) last1 = C[N];

	first2 = C[1];
	for (int i=2; i+1<=N; i+=2) {
		M_2[C[i]][C[i+1]]++;
		M_2[C[i+1]][C[i]]++;
		cnt_pairs_2++;
		if (C[i] == C[i+1]) with_any_2[C[i]] ++;
		else with_one_2[C[i]]++, with_one_2[C[i+1]]++, with_any_2[C[i]]++, with_any_2[C[i+1]]++;
	}
	if (N % 2 == 0) last2 = C[N];

	for (int i=1; i<=M-1; i++) for (int j=i+1; j<=M; j++) {
		int temp = cost(i,j);
		ans[i] = min(ans[i], temp);
		ans[j] = min(ans[j], temp);
	}

	for (int i=1; i<=M; i++) cout << ans[i] << '\n';
}
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