#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ld long double
#define show(x,y) cout << y << " " << #x << endl;
#define show2(x,y,i,j) cout << y << " " << #x << " " << j << " " << #i << endl;
#define show3(x,y,i,j,p,q) cout << y << " " << #x << " " << j << " " << #i << " " << q << " " << #p << endl;
#define show4(x,y) for(auto it:x) cout << it << " "; cout << #y << endl;
typedef pair<int,int>pii;
typedef pair<pii,int>pi2;
int n=0;
int len=0;
int pos[205];
int limit[205];
//int memo[205][205][2][205];
//int dp(int l, int r, bool flag, int cur){
//if(cur>200) return 0;
//if(l+1>=r) return 0;
//if(memo[l][r][flag][cur]!=-1) return memo[l][r][flag][cur];
//int ans=0;
//int dist=cur;
//if(!flag) dist+=(pos[l+1]-pos[l]);
//else dist+=(pos[l+1]+k-pos[r]);
//ans=max(ans,dp(l+1,r,0,dist)+(dist<=limit[l+1]));
//int dist2=cur;
//if(flag) dist2+=(pos[r]-pos[r-1]);
//else dist2+=(pos[l]+k-pos[r-1]);
//ans=max(ans,dp(l,r-1,1,dist2)+(dist2<=limit[r-1]));
//return memo[l][r][flag][cur]=ans;
//}
void solve(){
cin >> n >> len;
//memset(memo,-1,sizeof(memo));
for(int x=1;x<=n;x++) cin >> pos[x];
for(int x=1;x<=n;x++) cin >> limit[x];
pos[n+1]=len;
//min amount of time to cover (l,r) such that last is a left/right, visiting k stuff
int dp[n+5][n+5][n+5][2];
for(int x=0;x<n+5;x++){
for(int y=0;y<n+5;y++){
for(int i=0;i<n+5;i++){
dp[x][y][i][0]=1e15;
dp[x][y][i][1]=1e15;
}
}
}
dp[0][n+1][0][0]=0;
dp[0][n+1][0][1]=0;
for(int l=0;l<=n;l++){
for(int r=n+1;r>l;r--){
for(int k=0;k<=n;k++){
//last is left
int dist=dp[l][r][k][0];
//visit lft rgt
int left=pos[l+1]-pos[l];
int right=pos[l]+len-pos[r-1];
//no take
dp[l+1][r][k][0]=min(dp[l+1][r][k][0],dist+left);
dp[l][r-1][k][1]=min(dp[l][r-1][k][1],dist+right);
//take
if(dist+left<=limit[l+1]){
dp[l+1][r][k+1][0]=min(dp[l+1][r][k+1][0],dist+left);
}
if(dist+right<=limit[r-1]){
dp[l][r-1][k+1][1]=min(dp[l][r-1][k+1][1],dist+right);
}
//last is right
dist=dp[l][r][k][1];
left=pos[l+1]+len-pos[r];
right=pos[r]-pos[r-1];
dp[l+1][r][k][0]=min(dp[l+1][r][k][0],dist+left);
dp[l][r-1][k][1]=min(dp[l][r-1][k][1],dist+right);
if(dist+left<=limit[l+1]){
dp[l+1][r][k+1][0]=min(dp[l+1][r][k+1][0],dist+left);
}
if(dist+right<=limit[r-1]){
dp[l][r-1][k+1][1]=min(dp[l][r-1][k+1][1],dist+right);
}
//show3(l,l,r,r,k,k);
//show2(left,dp[l][r][k][0],right,dp[l][r][k][1]);
}
}
}
int best=0;
for(int l=0;l<=n;l++){
for(int r=l+1;r<=n+1;r++){
for(int k=0;k<=n;k++){
if(dp[l][r][k][0]<1e15) best=max(best,k);
if(dp[l][r][k][1]<1e15) best=max(best,k);
}
}
}
cout << best;
}
int32_t main(){
ios::sync_with_stdio(0);
cin.tie(0);
int t=1;
//cin >> t;
while(t--){
solve();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
464 KB |
Output is correct |
9 |
Correct |
0 ms |
600 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
600 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
452 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
464 KB |
Output is correct |
9 |
Correct |
0 ms |
600 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
600 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
452 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
456 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
344 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
460 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
388 KB |
Output is correct |
31 |
Correct |
1 ms |
600 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
456 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
464 KB |
Output is correct |
9 |
Correct |
0 ms |
600 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
600 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
452 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
70 ms |
97864 KB |
Output is correct |
19 |
Correct |
37 ms |
46984 KB |
Output is correct |
20 |
Correct |
14 ms |
19036 KB |
Output is correct |
21 |
Correct |
36 ms |
43268 KB |
Output is correct |
22 |
Correct |
45 ms |
63312 KB |
Output is correct |
23 |
Correct |
11 ms |
14936 KB |
Output is correct |
24 |
Correct |
7 ms |
10588 KB |
Output is correct |
25 |
Correct |
11 ms |
14740 KB |
Output is correct |
26 |
Correct |
3 ms |
3984 KB |
Output is correct |
27 |
Correct |
11 ms |
15452 KB |
Output is correct |
28 |
Correct |
6 ms |
9564 KB |
Output is correct |
29 |
Correct |
12 ms |
15960 KB |
Output is correct |
30 |
Correct |
8 ms |
11356 KB |
Output is correct |
31 |
Correct |
10 ms |
14684 KB |
Output is correct |
32 |
Correct |
4 ms |
5980 KB |
Output is correct |
33 |
Correct |
13 ms |
14684 KB |
Output is correct |
34 |
Correct |
3 ms |
3420 KB |
Output is correct |
35 |
Correct |
12 ms |
14172 KB |
Output is correct |
36 |
Correct |
3 ms |
4956 KB |
Output is correct |
37 |
Correct |
10 ms |
15640 KB |
Output is correct |
38 |
Correct |
5 ms |
6748 KB |
Output is correct |
39 |
Correct |
12 ms |
16476 KB |
Output is correct |
40 |
Correct |
5 ms |
7772 KB |
Output is correct |
41 |
Correct |
98 ms |
133108 KB |
Output is correct |
42 |
Correct |
53 ms |
74580 KB |
Output is correct |
43 |
Correct |
96 ms |
133344 KB |
Output is correct |
44 |
Correct |
56 ms |
73196 KB |
Output is correct |
45 |
Correct |
96 ms |
133276 KB |
Output is correct |
46 |
Correct |
56 ms |
74740 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
464 KB |
Output is correct |
9 |
Correct |
0 ms |
600 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
600 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
452 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
456 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
344 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
460 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
388 KB |
Output is correct |
31 |
Correct |
1 ms |
600 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
456 KB |
Output is correct |
36 |
Correct |
70 ms |
97864 KB |
Output is correct |
37 |
Correct |
37 ms |
46984 KB |
Output is correct |
38 |
Correct |
14 ms |
19036 KB |
Output is correct |
39 |
Correct |
36 ms |
43268 KB |
Output is correct |
40 |
Correct |
45 ms |
63312 KB |
Output is correct |
41 |
Correct |
11 ms |
14936 KB |
Output is correct |
42 |
Correct |
7 ms |
10588 KB |
Output is correct |
43 |
Correct |
11 ms |
14740 KB |
Output is correct |
44 |
Correct |
3 ms |
3984 KB |
Output is correct |
45 |
Correct |
11 ms |
15452 KB |
Output is correct |
46 |
Correct |
6 ms |
9564 KB |
Output is correct |
47 |
Correct |
12 ms |
15960 KB |
Output is correct |
48 |
Correct |
8 ms |
11356 KB |
Output is correct |
49 |
Correct |
10 ms |
14684 KB |
Output is correct |
50 |
Correct |
4 ms |
5980 KB |
Output is correct |
51 |
Correct |
13 ms |
14684 KB |
Output is correct |
52 |
Correct |
3 ms |
3420 KB |
Output is correct |
53 |
Correct |
12 ms |
14172 KB |
Output is correct |
54 |
Correct |
3 ms |
4956 KB |
Output is correct |
55 |
Correct |
10 ms |
15640 KB |
Output is correct |
56 |
Correct |
5 ms |
6748 KB |
Output is correct |
57 |
Correct |
12 ms |
16476 KB |
Output is correct |
58 |
Correct |
5 ms |
7772 KB |
Output is correct |
59 |
Correct |
98 ms |
133108 KB |
Output is correct |
60 |
Correct |
53 ms |
74580 KB |
Output is correct |
61 |
Correct |
96 ms |
133344 KB |
Output is correct |
62 |
Correct |
56 ms |
73196 KB |
Output is correct |
63 |
Correct |
96 ms |
133276 KB |
Output is correct |
64 |
Correct |
56 ms |
74740 KB |
Output is correct |
65 |
Correct |
81 ms |
114512 KB |
Output is correct |
66 |
Correct |
77 ms |
101172 KB |
Output is correct |
67 |
Correct |
69 ms |
94816 KB |
Output is correct |
68 |
Correct |
61 ms |
84340 KB |
Output is correct |
69 |
Correct |
80 ms |
112888 KB |
Output is correct |
70 |
Correct |
77 ms |
106064 KB |
Output is correct |
71 |
Correct |
82 ms |
107672 KB |
Output is correct |
72 |
Correct |
80 ms |
109284 KB |
Output is correct |
73 |
Correct |
76 ms |
97960 KB |
Output is correct |
74 |
Correct |
65 ms |
88724 KB |
Output is correct |
75 |
Correct |
74 ms |
102736 KB |
Output is correct |
76 |
Correct |
92 ms |
125520 KB |
Output is correct |
77 |
Correct |
90 ms |
125448 KB |
Output is correct |
78 |
Correct |
65 ms |
85992 KB |
Output is correct |
79 |
Correct |
65 ms |
90196 KB |
Output is correct |
80 |
Correct |
93 ms |
121936 KB |
Output is correct |
81 |
Correct |
64 ms |
91532 KB |
Output is correct |
82 |
Correct |
80 ms |
99568 KB |
Output is correct |
83 |
Correct |
95 ms |
133344 KB |
Output is correct |
84 |
Correct |
77 ms |
105968 KB |
Output is correct |
85 |
Correct |
83 ms |
120128 KB |
Output is correct |
86 |
Correct |
82 ms |
116268 KB |
Output is correct |
87 |
Correct |
73 ms |
102708 KB |
Output is correct |
88 |
Correct |
105 ms |
135248 KB |
Output is correct |
89 |
Correct |
118 ms |
135084 KB |
Output is correct |
90 |
Correct |
73 ms |
104264 KB |
Output is correct |
91 |
Correct |
107 ms |
135436 KB |
Output is correct |
92 |
Correct |
97 ms |
135312 KB |
Output is correct |
93 |
Correct |
92 ms |
131408 KB |
Output is correct |