Codeforces Round #530 Div. 1 自闭记

  A:显然应该让未确定的大小尽量大。不知道写了啥就wa了一发。

#include<iostream> 
#include<cstdio>
#include<cmath>
#include<cstdlib>
#include<cstring>
#include<algorithm>
using namespace std;
#define ll long long
#define N 200010
#define inf 1000000010
char getc(){char c=getchar();while ((c<'A'||c>'Z')&&(c<'a'||c>'z')&&(c<'0'||c>'9')) c=getchar();return c;}
int gcd(int n,int m){return m==0?n:gcd(m,n%m);}
int read()
{
    int x=0,f=1;char c=getchar();
    while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();}
    while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar();
    return x*f;
}
int n,p[N],fa[N],a[N],s[N],t,ans;
bool flag=1;
struct data{int to,nxt;
}edge[N];
void addedge(int x,int y){t++;edge[t].to=y,edge[t].nxt=p[x],p[x]=t;}
void dfs(int k)
{
    if (!flag) return;
    for (int i=p[k];i;i=edge[i].nxt)
    {
        int x=edge[i].to,son=0;
        for (int j=p[x];j;j=edge[j].nxt) son++;
        if (son==0) a[x]=0;
        else
        {
            int y=inf;
            for (int j=p[x];j;j=edge[j].nxt)
            y=min(y,s[edge[j].to]);
            if (y<s[k]) {flag=0;break;}
            a[x]=y-s[k];s[x]=s[k]+a[x];
            for (int j=p[x];j;j=edge[j].nxt)
            a[edge[j].to]=s[edge[j].to]-s[x],dfs(edge[j].to);
        }
    }
}
signed main()
{
#ifndef ONLINE_JUDGE
    freopen("a.in","r",stdin);
    freopen("a.out","w",stdout);
    const char LL[]="%I64d
";
#endif
    n=read();
    for (int i=2;i<=n;i++)
    {
        int x=read();fa[i]=x;addedge(x,i);
    }
    for (int i=1;i<=n;i++) s[i]=read();
    a[1]=s[1];dfs(1);
    if (flag)
    {
        ll ans=0;
        for (int i=1;i<=n;i++) ans+=a[i];
        cout<<ans;
    }
    else cout<<-1;
    return 0;
    //NOTICE LONG LONG!!!!!
}
View Code

  B:快1.5h时才想到一个不太靠谱的做法,然后交一发就wa on 4了。拍了好一会才发现做法假掉了,内心崩溃。花40min换了一个做法,写的时候就感觉这怎么这么简单肯定是假的,然后就wa on 7了,根本都不用拍就发现做法假掉了,内心崩溃。最后终于发现最开始的做法是能抢救一下的,把第二种做法合并上去就行了,然后就没时间了。

  考虑枚举左上角的2*2方格怎么填。然后考虑前两列,如果将左上角直接向下复制,后面的每一列都只有不相关的两种填法,即两字母交替出现,取最优值即可;如果对左上角复制后进行一些同行内的交换,那么显然会有同一列的连续三行出现不同的字母,这样就固定了每一行都只能是将该行前两个字母复制。

  事实上更优美的想法是最终填法要么每行内两字母交替出现,要么每列内两字母交替出现。根本想不到啊。

#include<iostream> 
#include<cstdio>
#include<cmath>
#include<cstdlib>
#include<cstring>
#include<algorithm>
#include<vector>
using namespace std;
#define ll long long
#define N 300010
char getc(){char c=getchar();while ((c<'A'||c>'Z')&&(c<'a'||c>'z')&&(c<'0'||c>'9')) c=getchar();return c;}
int gcd(int n,int m){return m==0?n:gcd(m,n%m);}
int read()
{
    int x=0,f=1;char c=getchar();
    while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();}
    while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar();
    return x*f;
}
int n,m,tot,v=N;
vector<char> a[N],b[N],ans[N]; 
char c[4]={'A','C','G','T'};
bool flag[4];
void check()
{
    //cout<<b[0][0]<<b[0][1]<<endl<<b[1][0]<<b[1][1]<<endl;
    tot=0;
    for (int i=2;i<n;i++)
    b[i][0]=b[i-2][0],b[i][1]=b[i-2][1];
    for (int j=2;j<m;j++)
    {
        int ans1=0,ans2=0;
        for (int i=0;i<n;i++)
        ans1+=(a[i][j]!=b[i%2][j%2]),
        ans2+=(a[i][j]!=b[i%2^1][j&1]);
        if (ans1<ans2)
        {
            for (int i=0;i<n;i++)
            b[i][j]=b[i%2][j&1];
        }
        else
        {
            for (int i=0;i<n;i++)
            b[i][j]=b[i%2^1][j&1];
        }
    }
    for (int i=0;i<n;i++)
        for (int j=0;j<m;j++)
        tot+=a[i][j]!=b[i][j];
    if (tot<v) 
    {
        v=tot;
        for (int i=0;i<n;i++)
            for (int j=0;j<m;j++)
            ans[i][j]=b[i][j];
    }
    for (int i=2;i<m;i++) b[0][i]=b[0][i&1],b[1][i]=b[1][i&1];
    for (int i=2;i<n;i++)
    {
        int ans1=0,ans2=0;
        for (int j=0;j<m;j++)
        ans1+=a[i][j]!=b[i%2][j&1],ans2+=a[i][j]!=b[i%2][j&1^1];
        if (ans1<ans2)
        {
            for (int j=0;j<m;j++)  b[i][j]=b[i%2][j&1];
        }
        else
        {
            for (int j=0;j<m;j++) b[i][j]=b[i%2][j&1^1];
        }
    }
    tot=0;
    for (int i=0;i<n;i++)
        for (int j=0;j<m;j++)
        tot+=a[i][j]!=b[i][j];
    if (tot<v) 
    {
        v=tot;
        for (int i=0;i<n;i++)
            for (int j=0;j<m;j++)
            ans[i][j]=b[i][j];
    }
}
void dfs(int x,int y)
{
    if (x>1) {check();return;}
    for (int i=0;i<4;i++)
    if (!flag[i])
    {
        b[x][y]=c[i];
        flag[i]=1;
        if (y==1) dfs(x+1,0);
        else dfs(x,1);
        flag[i]=0;
    }
}
signed main()
{
#ifndef ONLINE_JUDGE
    freopen("a.in","r",stdin);
    freopen("a.out","w",stdout);
    const char LL[]="%I64d
";
#endif
    n=read(),m=read();
    for (int i=0;i<n;i++)
        for (int j=0;j<m;j++)
        a[i].push_back(getc());
    for (int i=0;i<n;i++)
        for (int j=0;j<m;j++)
        b[i].push_back(' '),ans[i].push_back(' ');
    dfs(0,0);
    for (int i=0;i<n;i++)
    {
        for (int j=0;j<m;j++)
        putchar(ans[i][j]);
        printf("
");
    }
    return 0;
    //NOTICE LONG LONG!!!!!
}
View Code

  然后就垫底了。感觉应该早点弃掉这个毒瘤B去看C。哎还是菜爆。

  大号终于变小号了。result:rank 341 rating -39

  C:显然所有点的子树大小之和=所有点的深度之和,那么设度数限制为d,只要找到一组xi满足∑ixi=s且xi>=dxi+1即可。显然度数限制d越大,能构造出s的下界就越小,且增加的这部分边界应该是一段连续区间(因为只要度数限制不为1,就可以找到深度最大且不止一个点的一层,将其中一个点往下拉,使得总深度+1)。于是先找到最小的度数限制,这个随便都能求。然后考虑构造xi,先构造出这个s的下界,再逐渐将其增大。只需要暴力模拟上述证明的过程即可。当然,不能一次只增大1,而是应该直接拉到最底端,以保证复杂度。(虽然事实上只有度数限制<=2时每次增大1的复杂度会出现问题)感觉还是做的太麻烦了。

#include<bits/stdc++.h>
using namespace std;
#define P 1000000007
#define N 100010
#define ll long long
int read()
{
    int x=0,f=1;char c=getchar();
    while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();}
    while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar();
    return x*f;
}
int n,ans,fa[N],a[N],size[N],deep[N];ll m;
void dfs(int k,int n,int x)
{
    size[k]=1;a[deep[k]]++;
    if (1ll*(k-1)*x+2>n) return;
    for (int i=(k-1)*x+2;i<=min(n,k*x+1);i++)
    {
        deep[i]=deep[k]+1;
        dfs(i,n,x);
        size[k]+=size[i];
    }
}
ll check(int n,int k)
{
    deep[1]=1;memset(a,0,sizeof(a));dfs(1,n,k);
    ll s=0;for (int i=1;i<=n;i++) s+=size[i];
    return s;
}
void build(int d)
{
    int s=1;
    for (int i=2;i<=n;i++)
    {
        for (int j=s+1;j<=s+a[i];j++)
        fa[j]=s-a[i-1]+(j-s-1)/d+1;
        s+=a[i];
    }
}
int main()
{
#ifndef ONLINE_JUDGE
    freopen("c.in","r",stdin);
    freopen("c.out","w",stdout);
#endif
    cin>>n>>m;
    int l=1,r=n-1;
    if ((1ll*n*(n+1)>>1)<m) {cout<<"NO";return 0;}
    if ((1ll*n*(n+1)>>1)==m)
    {
        cout<<"YES
"; 
        for (int i=1;i<n;i++) printf("%d ",i);
        return 0;
    }
    while (l<=r)
    {
        int mid=l+r>>1;
        if (check(n,mid)<=m) ans=mid,r=mid-1;
        else l=mid+1;
    }
    if (!ans) {cout<<"NO";return 0;}
    ll s=check(n,ans);
    int cur=n;while (cur&&a[cur]<=1) cur--;
    int maxdeep;for (maxdeep=1;maxdeep<=n;maxdeep++) if (a[maxdeep]==0) break;
    maxdeep--;
    for (;;)
    {
        if (m==s) break;
        while (a[cur]==1) cur--;
        if (maxdeep+1-cur>=m-s) a[cur]--,a[cur+m-s]++,m=s;
        else a[++maxdeep]++,a[cur]--,s+=maxdeep-cur;
    }
    build(ans);
    cout<<"YES
";
    for (int i=2;i<=n;i++) printf("%d ",fa[i]);
    return 0;
}
View Code

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