#include<bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int,int>
#define sz(x) (int)(x.size())
#define all(x) x.begin(),x.end()
#define F first
#define S second
#define pb push_back
#ifdef local
void setio(){freopen("/Users/iantsai/Library/Mobile Documents/com~apple~CloudDocs/cpp/Empty.md","r",stdin);}
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
void setio(){}
#define debug(x...)
#endif
const int mxn=405;
int dp[mxn][mxn][mxn/2][2];
signed main(){
ios::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
setio();
int n,l;
cin>>n>>l;
vector<pii>temp;
vector<int>pos(2*n+1);
vector<int>time(2*n+1);
temp.pb({0,0});
for(int i=0;i<n;i++){
int x;
cin>>x;
temp.pb({x,0});
}
for(int i=0;i<n;i++){
int t;
cin>>t;
temp[i+1].S=t;
}
sort(all(temp));
for(int i=1;i<=n;i++){
time[i]=time[i+n]=temp[i].S;
pos[i]=temp[i].F;
pos[i+n]=temp[i].F+l;
}
for(int i=0;i<=2*n;i++){
for(int j=0;j<=2*n;j++){
for(int k=0;k<=2*n;k++){
dp[i][j][k][0]=dp[i][j][k][1]=4e18;
}
}
}
for(int i=1;i<=2*n;i++){
if(abs(pos[i]-l)<=time[i]){
dp[i][i][1][0]=dp[i][i][1][1]=abs(pos[i]-l);
//cout<<dp[i][i][1][0]<<'\n';
}
}
int ans=0;
for(int k=1;k<=n;k++){
for(int l=2*n;l>=1;l--){
for(int r=l+k-1;r<=2*n;r++){
if(l==r)continue;
dp[l][r][k][0]=min(dp[l+1][r][k][0]+abs(pos[l]-pos[l+1]),
dp[l+1][r][k][1]+abs(pos[l]-pos[r]));
if(dp[l+1][r][k-1][0]+abs(pos[l]-pos[l+1])<=time[l])dp[l][r][k][0]=min(dp[l][r][k][0],dp[l+1][r][k-1][0]+abs(pos[l]-pos[l+1]));
if(dp[l+1][r][k-1][1]+abs(pos[l]-pos[ r])<=time[l])dp[l][r][k][0]=min(dp[l][r][k][0],dp[l+1][r][k-1][1]+abs(pos[l]-pos[r]));
dp[l][r][k][1]=min(dp[l][r-1][k][0]+abs(pos[r ]-pos[l]),
dp[l][r-1][k][1]+abs(pos[r-1]-pos[r]));
if(dp[l][r-1][k-1][0]+abs(pos[l]-pos[ r])<=time[r])dp[l][r][k][1]=min(dp[l][r][k][1],dp[l][r-1][k-1][0]+abs(pos[l]-pos[r]));
if(dp[l][r-1][k-1][1]+abs(pos[r-1]-pos[r])<=time[r])dp[l][r][k][1]=min(dp[l][r][k][1],dp[l][r-1][k-1][1]+abs(pos[r-1]-pos[r]));
dp[l][r][k][0]=min(dp[l][r][k][0],(int)4e18);
dp[l][r][k][1]=min(dp[l][r][k][1],(int)4e18);
if(r-l+1<=n and (dp[l][r][k][0]<4e18 or dp[l][r][k][1]<4e18)){
ans=max(ans,k);
}
//cout<<l<<' '<<r<<' '<<k<<' '<<dp[l][r][k][0]<<' '<<dp[l][r][k][1]<<'\n';
}
}
}
cout<<ans<<'\n';
}
/*
dp[l][r][k][0/1] min time to collect k stamps between lth~rth stamp 0->ends at l 1->ends at r
dp[l][r][k][0]=if(dp[l+1][r][k-1][0]+x[l]-x[l-1]<=t[l])dp[l-1][r][k-1][0]+x[l]-x[l-1]
if(dp[l+1][r][k-1][1]+x[l]-x[r]<=t[l])
dp[l-1][r][k][0]+x[l]-x[l-1]
dp[l-1][r][k][1]+x[l]-x[r]
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
14936 KB |
Output is correct |
2 |
Correct |
2 ms |
14684 KB |
Output is correct |
3 |
Correct |
9 ms |
24924 KB |
Output is correct |
4 |
Correct |
2 ms |
16728 KB |
Output is correct |
5 |
Correct |
3 ms |
18776 KB |
Output is correct |
6 |
Correct |
5 ms |
31068 KB |
Output is correct |
7 |
Correct |
4 ms |
20828 KB |
Output is correct |
8 |
Correct |
4 ms |
26968 KB |
Output is correct |
9 |
Correct |
4 ms |
31068 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
14936 KB |
Output is correct |
2 |
Correct |
2 ms |
14684 KB |
Output is correct |
3 |
Correct |
9 ms |
24924 KB |
Output is correct |
4 |
Correct |
2 ms |
16728 KB |
Output is correct |
5 |
Correct |
3 ms |
18776 KB |
Output is correct |
6 |
Correct |
5 ms |
31068 KB |
Output is correct |
7 |
Correct |
4 ms |
20828 KB |
Output is correct |
8 |
Correct |
4 ms |
26968 KB |
Output is correct |
9 |
Correct |
4 ms |
31068 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
14936 KB |
Output is correct |
2 |
Correct |
2 ms |
14684 KB |
Output is correct |
3 |
Correct |
9 ms |
24924 KB |
Output is correct |
4 |
Correct |
2 ms |
16728 KB |
Output is correct |
5 |
Correct |
3 ms |
18776 KB |
Output is correct |
6 |
Correct |
5 ms |
31068 KB |
Output is correct |
7 |
Correct |
4 ms |
20828 KB |
Output is correct |
8 |
Correct |
4 ms |
26968 KB |
Output is correct |
9 |
Correct |
4 ms |
31068 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
14936 KB |
Output is correct |
2 |
Correct |
2 ms |
14684 KB |
Output is correct |
3 |
Correct |
9 ms |
24924 KB |
Output is correct |
4 |
Correct |
2 ms |
16728 KB |
Output is correct |
5 |
Correct |
3 ms |
18776 KB |
Output is correct |
6 |
Correct |
5 ms |
31068 KB |
Output is correct |
7 |
Correct |
4 ms |
20828 KB |
Output is correct |
8 |
Correct |
4 ms |
26968 KB |
Output is correct |
9 |
Correct |
4 ms |
31068 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
12 |
Halted |
0 ms |
0 KB |
- |