CodeForces 18E Flag 2

本文深入探讨了AI音视频处理领域中的关键技术,特别是视频分割与语义识别。通过详细解释这些技术的工作原理、应用案例及实际效果,旨在为读者提供全面的理解和洞察。此外,文章还涉及了这些技术如何应用于自动驾驶、AR增强现实等场景,展示其在现代技术发展中的重要作用。

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Description

According to a new ISO standard, a flag of every country should have, strangely enough, a chequered field n × m, each square should be wholly painted one of 26 colours. The following restrictions are set:

  • In each row at most two different colours can be used.
  • No two adjacent squares can be painted the same colour.

Pay attention, please, that in one column more than two different colours can be used.

Berland's government took a decision to introduce changes into their country's flag in accordance with the new standard, at the same time they want these changes to be minimal. By the given description of Berland's flag you should find out the minimum amount of squares that need to be painted different colour to make the flag meet the new ISO standard. You are as well to build one of the possible variants of the new Berland's flag.

Input

The first input line contains 2 integers n and m (1 ≤ n, m ≤ 500) — amount of rows and columns in Berland's flag respectively. Then there follows the flag's description: each of the following n lines contains m characters. Each character is a letter from a to z, and it stands for the colour of the corresponding square.

Output

In the first line output the minimum amount of squares that need to be repainted to make the flag meet the new ISO standard. The following n lines should contain one of the possible variants of the new flag. Don't forget that the variant of the flag, proposed by you, should be derived from the old flag with the minimum amount of repainted squares. If the answer isn't unique, output any.

Sample Input

Input
3 4
aaaa
bbbb
cccc
Output
6
abab
baba
acac
Input
3 3
aba
aba
zzz
Output
4
aba
bab

zbz

逐层递推,枚举每行的26*25种状态。

#include<map>
#include<cmath>
#include<queue>
#include<stack>
#include<string>
#include<vector>
#include<cstdio>
#include<bitset>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<functional>
using namespace std;
typedef long long LL;
const int low(int x){ return x&-x; }
const int INF = 0x7FFFFFFF;
const int mod = 1e9 + 7;
const int maxn = 5e2 + 10;
int T, n, m;
int cnt[2][maxn];
int u[maxn][maxn], t, p[maxn][maxn];
string v[maxn][maxn];
char s[maxn];

void dfs(int x, int y)
{
	if (!x) return;
	dfs(x - 1, p[x][y]);
	for (int i = 0; i < m; i++)
	{
		if (i & 1) printf("%c", v[x][y][1]);
		else printf("%c", v[x][y][0]);
	}
	printf("\n");
}

int main()
{
	scanf("%d%d", &n, &m);
	u[0][0] = 0;	v[0][0] = "12";
	for (int now = 1; now <= n; now++)
	{
		scanf("%s", s);	 t = 0;
		for (int k = 'a'; k <= 'z'; k++) cnt[0][k] = cnt[1][k] = 0;
		for (int k = 0; k < m; k++) cnt[k & 1][s[k]]++;
		for (char i = 'a'; i <= 'z'; i++)
		{
			for (char j = 'a'; j <= 'z'; j++)
			{
				if (i == j) continue;
				v[now][t] = "";
				v[now][t] = v[now][t] + i + j;
				u[now][t] = (m + 1) / 2 - cnt[0][i] + (m / 2) - cnt[1][j];
				for (int k = 0; k < 50; k++)
				{
					if (v[now][t][0] == v[now - 1][k][0]) continue;
					if (v[now][t][1] == v[now - 1][k][1]) continue;
					u[now][t] += u[now - 1][k]; p[now][t] = k; break;
				}
				for (int k = t; k; k--)
				{
					if (u[now][k] < u[now][k - 1])
					{
						swap(u[now][k], u[now][k - 1]);
						swap(v[now][k], v[now][k - 1]);
						swap(p[now][k], p[now][k - 1]);
					}
					else break;
				}
				if (t < 50) t++;
			}
		}
	}
	printf("%d\n", u[n][0]);
	dfs(n , 0);
	return 0;
}


### Codeforces Div. 2 比赛介绍 Codeforces 是一个在线编程竞赛平台,其中Div. 2比赛面向的是那些评分低于2100分的参赛者[^1]。这类比赛旨在挑战并提升程序员解决问题的能力和技术水平。 ### 参与方式 为了参加Codeforces Div. 2的比赛,参与者首先需要注册账号,并确保个人评级满足参与条件。每次比赛前会有一个虚拟房间分配过程,在此期间选手可以选择加入特定的房间或接受随机安排。比赛通常持续两小时,其间可以尝试解决多个不同难度级别的算法问题。 ### 题目难度 Codeforces Div. 2 的题目按照难度分为几个等级,一般情况下: - **A类题**:相对容易入门级的问题,适合新手练习基础逻辑思维和编码技巧。 - **B类题**:稍微复杂一点的任务,可能涉及到更深入的数据结构应用或是简单的动态规划概念。 - **C/D类题**:这些属于中等到较难程度的问题,往往要求更高的抽象能力和创造性解法设计能力。 - **E/F及以上类别**:非常具有挑战性的高级别难题,不仅考验全面的知识体系掌握情况还涉及到了尖端的研究成果运用[^2]。 ```python # 示例代码用于展示如何连接到Codeforces API获取即将举行的赛事列表 import requests def get_upcoming_contests(): url = "https://codeforces.com/api/contest.list?gym=false" response = requests.get(url).json() upcoming_contests = [] for contest in response['result']: if 'DIV_2' in contest['name'].upper() and contest['phase'] == 'BEFORE': upcoming_contests.append(contest) return upcoming_contests ```
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