Question: Beautiful sequence
Solution: In C
#include<queue>
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<vector>
using namespace std;
typedef long long ll;
const int maxn=300005;
int cnt,head[maxn],n,m,now;
int in[maxn],dp[maxn][26];
char s[maxn];
vector<int> ans;
struct node{
int to,next;
}e[maxn*2];
void add(int u,int v){
e[cnt].to=v;
e[cnt].next=head[u],head[u]=cnt++;
}
void init(){
memset(head,-1,sizeof(head));
cnt=0;
}
int topo(){
queue<int> q;
int now=0;
for(int i=1;i<=n;i++){
if(!in[i]){
q.push(i);
dp[i][s[i]-'a']++;
}
}
while(!q.empty()){
int u=q.front(); q.pop();
now++;
for(int i=head[u];~i;i=e[i].next){
int t=e[i].to,add=s[t]-'a';
for(int j=0;j<26;j++){
dp[t][j]=max(dp[t][j],dp[u][j]+(j==add?1:0));
}
if(--in[t]==0){
q.push(t);
}
}
}
int ans=0;
for(int i=1;i<=n;i++){
for(int j=0;j<26;j++)
ans=max(ans,dp[i][j]);
}
if(now!=n) return -1;
return ans;
}
int main(){
init();
int x,y;
scanf("%d%d%s",&n,&m,s+1);
for(int i=1;i<=m;i++){
scanf("%d%d",&x,&y);
add(x,y);
in[y]++;
}
printf("%d\n",topo());
return 0;
}
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