Codeforces 1000 (A~E)

A Codehorses T-shirts

相同长度之间互相转化即可

#include<iostream>
#include<cstdio>
#include<cstring>
#include<map>
#include<algorithm>
using namespace std;
const int N=105;
int n,a[N],b[N],ans;
string s[N],t[N];
map<string,int>mp;
int main()
{
	mp["S"]=1,mp["M"]=2,mp["L"]=3;
	mp["XS"]=4,mp["XL"]=5;
	mp["XXS"]=6,mp["XXL"]=7;
	mp["XXXS"]=8,mp["XXXL"]=9;
	cin>>n;
	for(int i=1;i<=n;i++)
		cin>>s[i],a[mp[s[i]]]++;
	for(int i=1;i<=n;i++)
		cin>>t[i],b[mp[t[i]]]++;
	for(int i=1;i<=9;i++)
		ans+=abs(a[i]-b[i]);
	printf("%d
",ans/2);
	return 0;
}

B Light It Up

把0和m点插进去,处理出s[0/1][i]为i&1为0或1区间长度的后缀和,然后枚举要插入的区间,贪心的把点插在p[i]+1(区间关灯)或p[i+1]-1(区间开灯),然后取后面反的前缀和更新ans即可

#include<iostream>
#include<cstdio>
using namespace std;
const int N=100005;
int n,m,a[N],s[2][N],ans;
int read()
{
	int r=0,f=1;
	char p=getchar();
	while(p>'9'||p<'0')
	{
		if(p=='-')
			f=-1;
		p=getchar();
	}
	while(p>='0'&&p<='9')
	{
		r=r*10+p-48;
		p=getchar();
	}
	return r*f;
}
int main()
{
	n=read()+2,m=read();
	for(int i=2;i<n;i++)
		a[i]=read();
	a[n]=m;
	for(int i=n-1;i>=1;i--)
		s[i&1][i]=a[i+1]-a[i]+s[i&1][i+1],s[~i&1][i]=s[~i&1][i+1];
	// for(int i=1;i<=n;i++)
		// cerr<<s[0][i]<<" "<<s[1][i]<<endl;
	ans=s[1][1];
	for(int i=1;i<n;i++)
		if(a[i+1]-a[i]>1)
			ans=max(ans,s[1][1]-s[1][i]+s[i&1][i+1]+a[i+1]-a[i]-1);//,cerr<<i<<" "<<s[1][1]-s[1][i]<<" "<<s[i&1][i+1]<<" "<<a[i+1]-a[i]-1<<endl;
	printf("%d
",ans);
	return 0;
}

C Covered Points Count

hash一下左右端点,差分前缀和处理出hash后的点(代表这之后的一整段区间)的被覆盖次数,然后把区间长度加进相应的长度ans里即可

#include<iostream>
#include<cstdio>
#include<algorithm>
#include<map>
using namespace std;
const int N=500005;
long long n,tot,has,a[N],l[N],r[N],g[N],rl[N],ans[N];
map<long long,long long>mp;
long long read()
{
	long long r=0,f=1;
	char p=getchar();
	while(p>'9'||p<'0')
	{
		if(p=='-')
			f=-1;
		p=getchar();
	}
	while(p>='0'&&p<='9')
	{
		r=r*10+p-48;
		p=getchar();
	}
	return r*f;
}
int main()
{
	n=read();
	for(long long i=1;i<=n;i++)
		l[i]=read(),r[i]=read(),g[++tot]=l[i],g[++tot]=r[i]+1;
	sort(g+1,g+1+tot);
	for(long long i=1;i<=tot;i++)
		if(i==1||g[i]!=g[i-1])
			mp[g[i]]=++has,rl[has]=g[i];
	for(long long i=1;i<=n;i++)
		a[mp[l[i]]]++,a[mp[r[i]+1]]--;
	for(long long i=2;i<=has;i++)
		a[i]+=a[i-1];
	// for(long long i=1;i<=has;i++)
		// cerr<<i<<" "<<rl[i]<<" "<<a[i]<<endl;
	for(long long i=1;i<has;i++)
		ans[a[i]]+=rl[i+1]-rl[i];
	for(long long i=1;i<=n;i++)
		printf("%lld ",ans[i]);
	return 0;
}

D Yet Another Problem On a Subsequence

考的时候没做出来
设f[i]为选i为一个a1的方案数,转移是( f[i]=sum_{j=i+a[i]+1}{n+1}C_{i-j-1}{a[i]}*f[j] ) 最后的答案是( ans=sum_{i=1}^{n}f[i] )

#include<iostream>
#include<cstdio>
using namespace std;
const int N=1005,mod=998244353;
int n,a[N],f[N],ans,c[N][N];
void jia(int &x,int y)
{
	x+=y;
	if(x>=mod)
		x-=mod;
}
int main()
{
	scanf("%d",&n);
	for(int i=1;i<=n;i++)
		scanf("%d",&a[i]);
	c[0][0]=1;
	for(int i=1;i<=n;i++)
	{
		c[i][0]=1;
		for(int j=1;j<=i;j++)
			c[i][j]=(c[i-1][j]+c[i-1][j-1])%mod;
	}
	f[n+1]=1;
	for(int i=n;i>=1;i--)
		if(a[i]>0)
		{
			for(int j=i+a[i]+1;j<=n+1;j++)
				jia(f[i],1ll*c[j-i-1][a[i]]*f[j]%mod);
			jia(ans,f[i]);
		}
	printf("%d
",ans);
	return 0;
}

E We Need More Bosses

比较裸,先缩了边双然后求树的直径即可

#include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
const int N=300005;
int n,m,h[N],cnt,dfn[N],low[N],tot,s[N],top,bl[N],col,con,st,mx;
bool v[N];
pair<int,int>b[N<<1];
struct qwe
{
	int ne,no,to;
}e[N<<1];
int read()
{
	int r=0,f=1;
	char p=getchar();
	while(p>'9'||p<'0')
	{
		if(p=='-')
			f=-1;
		p=getchar();
	}
	while(p>='0'&&p<='9')
	{
		r=r*10+p-48;
		p=getchar();
	}
	return r*f;
}
void add(int u,int v)
{
	cnt++;
	e[cnt].ne=h[u];
	e[cnt].no=u;
	e[cnt].to=v;
	h[u]=cnt;
}
void tarjan(int u,int fa)
{
    dfn[u]=low[u]=++tot; 
    s[++top]=u;
    for(int i=h[u];i;i=e[i].ne)
		if(e[i].to!=fa)
		{
			if(!dfn[e[i].to]) 
			{
				tarjan(e[i].to,u);
				low[u]=min(low[u],low[e[i].to]);
			}
			else 
				low[u]=min(low[u],dfn[e[i].to]);
		}
    if(low[u]==dfn[u])
	{
        col++;
        while(s[top]!=u)
            bl[s[top--]]=col;
        bl[s[top--]]=col;
    }
}
void dfs(int u,int fa,int len)
{
	if(len>mx)
		st=u,mx=len;
	for(int i=h[u];i;i=e[i].ne)
		if(e[i].to!=fa)
			dfs(e[i].to,u,len+1);
}
int main()
{
	n=read(),m=read();
	for(int i=1;i<=m;i++)
	{
		int x=read(),y=read();
		add(x,y),add(y,x);
	}
	tarjan(1,0);
	for(int i=1;i<=cnt;i++)
		if(bl[e[i].no]!=bl[e[i].to])
			b[++con]=make_pair(bl[e[i].no],bl[e[i].to]);
	memset(h,0,sizeof(h));
	cnt=0;
	for(int i=1;i<=con;i++)
		add(b[i].first,b[i].second);
	dfs(1,0,0);
	mx=0;
	dfs(st,0,0);
	printf("%d
",mx);
	return 0;
}
原文地址:https://www.cnblogs.com/lokiii/p/9794387.html