题解:
后缀数组求出本质不同的串
然后二分答案
贪心判断是否可行
代码:
#include<bits/stdc++.h>
const int N=;
using namespace std;
typedef long long ll;
char s[N];
ll L,R,mid;
int K,n,rk[N],sa[N],height[N],tmp[N],cnt[N],Log[N];
int f[][N],g[N],len,nowl,nowr,ansl,ansr;
void SA(int n,int m)
{
n++;
for (int i=;i<n;i++)cnt[rk[i]=s[i]]++;
for (int i=;i<m;i++)cnt[i]+=cnt[i-];
for (int i=;i<n;i++)sa[--cnt[rk[i]]]=i;
for (int k=;k<=n;k<<=)
{
for (int i=;i<n;i++)
{
int j=sa[i]-k;
if (j<)j+=n;
tmp[cnt[rk[j]]++]=j;
}
int j=;
sa[tmp[cnt[]=]]=j=;
for (int i=;i<n;i++)
{
if (rk[tmp[i]]!=rk[tmp[i-]]||rk[tmp[i]+k]!=rk[tmp[i-]+k])cnt[++j]=i;
sa[tmp[i]]=j;
}
memcpy(rk,sa,n*sizeof(int));
memcpy(sa,tmp,n*sizeof(int));
if (j>=n-)break;
}
for (int i,k,j=rk[height[i=k=]=];i<n-;i++,k++)
while (~k&&s[i]!=s[sa[j-]+k])height[j]=k--,j=rk[sa[j]+];
}
int lcp(int x,int y)
{
if (x==y)return n-x;
x=rk[x],y=rk[y];
if (x>y)swap(x,y);
int k=Log[y-x];
return min(f[k][x+],f[k][y-(<<k)+]);
}
void kth(ll k)
{
ll s=;
for (int i=;i<=n;s+=n-sa[i]-height[i],i++)
if (s+n-sa[i]-height[i]>=k)
{
nowl=sa[i],nowr=nowl+height[i]+k-s-;
len=nowr-nowl+;
return;
}
}
int ask(int l,int r)
{
int t=min(lcp(l,nowl),min(r-l+,len));
if (t==r-l+&&t<=len)return ;
if (t==len)return ;
return s[l+t]<=s[nowl+t];
}
int check()
{
int j,k=;
for (int i=n-;~i;i=j,k++)
{
for (j=i;~j;j--)
if (!ask(j,i))break;
if (j==i)return ;
}
return k<=K;
}
int main()
{
scanf("%d%s",&K,s);
n=strlen(s);
SA(n,);
for (int i=;i<=n;i++)Log[i]=Log[i>>]+;
for (int i=;i<=n;i++)f[][i]=height[i];
for (int j=;j<;j++)
for (int i=;i+(<<j-)<=n;i++)f[j][i]=min(f[j-][i],f[j-][i+(<<j-)]);
for (int i=;i<=n;i++)R+=n-sa[i]-height[i];
while (L<=R)
{
kth(mid=(L+R)>>);
if (check())ansl=nowl,ansr=nowr,R=mid-;
else L=mid+;
}
for (int i=ansl;i<=ansr;i++)putchar(s[i]);
return ;
}