#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define vll vector<ll>
#define all(x) begin(x),end(x)
const int N=3e3+1;
ll val[N][N],pre[N][N];
ll dp[N][N][3];
ll solve(ll&n,ll&m,vll&x,vll&y,vll&w)
{
ll ans=0;
for(int i=0;i<n;i++)for(int j=0;j<=n;j++)val[i][j]=pre[i][j]=0;
for(int j=0;j<m;j++)val[x[j]][y[j]+1]+=w[j];
for(int i=0;i<=n;i++)
{
pre[i][0]=val[i][0];
for(int j=1;j<=n;j++)
pre[i][j]=pre[i][j-1]+val[i][j];
}
for(int i=0;i<n;i++)
for(int j=0;j<=n;j++)
for(int k=0;k<2;k++)
dp[i][j][k]=0;
for(int i=1;i<n;i++)
{
// ll sum=0;
ll mx1=-2e18;
ll mx2=-2e18;
ll mx11=0,mx22=0;
for(int hp=0;hp<=n;hp++)
{
mx11=max(mx11,dp[i-1][hp][0]);
mx22=max(mx22,dp[i-1][hp][1]);
mx1=max(mx1,dp[i-1][hp][0]-pre[i-1][hp]);
mx2=max(mx2,dp[i-1][hp][1]+pre[i][hp]);
}
for(int h=0;h<=n;h++)
{
dp[i][h][0]=max(dp[i][h][0],mx1+pre[i-1][h]);
dp[i][h][1]=max(dp[i][h][1],mx1+pre[i-1][h]);
dp[i][h][1]=max(dp[i][h][1],mx2-pre[i][h]);
dp[i][h][0]=max(dp[i][h][0],mx11);
dp[i][h][0]=max(dp[i][h][0],mx22);
dp[i][h][1]=max(dp[i][h][1],mx11);
dp[i][h][1]=max(dp[i][h][1],mx22);
// sum+=val[i-1][h];
// ll aux=0;
// for(int nh=h+1;nh<=n;nh++)
// {
// // aux+=val[i][nh];
// dp[i][h][0]=max(dp[i][h][0],dp[i-1][nh][0]);
// dp[i][h][0]=max(dp[i][h][0],dp[i-1][nh][1]);
// dp[i][h][1]=max(dp[i][h][1],dp[i-1][nh][0]);
// dp[i][h][1]=max(dp[i][h][1],dp[i-1][nh][1]+pre[i][nh]-pre[i][h]);
// }
// // ll og=sum;
// for(int nh=0;nh<=h;nh++)
// {
// // sum-=val[i-1][nh];
// dp[i][h][0]=max(dp[i][h][0],dp[i-1][nh][0]+pre[i-1][h]-pre[i-1][nh]);
// dp[i][h][0]=max(dp[i][h][0],dp[i-1][nh][1]);
// dp[i][h][1]=max(dp[i][h][1],dp[i-1][nh][0]+pre[i-1][j]-pre[i-1][nh]);
// dp[i][h][1]=max(dp[i][h][1],dp[i-1][nh][1]);
// }
// sum=og;
}
}
for(int i=0;i<n;i++)
{
for(int h=0;h<=n;h++)
{
// cout<<"For: "<<i<<' '<<h<<' '<<dp[i][h][0]<<' '<<dp[i][h][1]<<endl;
ans=max(ans,dp[i][h][0]);
ans=max(ans,dp[i][h][1]);
}
}
return ans;
}
ll subtask2(ll&n,ll&m,vll&x,vll&y,vll&w)
{
ll ans=0;
ll val[2][n]={0};
for(int i=0;i<2;i++)
{
for(int j=0;j<n;j++)
{
val[i][j]=0;
}
}
ll sum1=0,sum0=0;
for(int j=0;j<m;j++)
{
val[x[j]][y[j]]+=w[j];
if(x[j]==1)
{
sum1+=w[j];
}
else
{
sum0+=w[j];
}
}
ans=max(sum0,sum1);
ll taken=0;
ll cur=0;
for(int j=0;j<n;j++)
{
cur+=val[0][j];
taken+=val[1][j];
ans=max(ans,cur);
if(n>2)
ans=max(ans,cur+sum1-taken);
}
return ans;
}
ll subtask3(ll&n,ll&m,vll&x,vll&y,vll&w)
{
ll ans=0;
ll val[n+1];
for(int i=0;i<n;i++)val[i]=0;
for(int j=0;j<m;j++)val[x[j]]+=w[j];
ll dp[n+1][3][3];
for(int i=0;i<n;i++)
for(int j=0;j<2;j++)
for(int k=0;k<2;k++)
dp[i][j][k]=0;
for(int i=1;i<n;i++)
{
// wall not at i
dp[i][0][0]=max(max(dp[i-1][0][0],dp[i-1][0][1]),dp[i-1][1][0]);
dp[i][0][1]=max(max(dp[i-1][0][0],dp[i-1][0][1]),dp[i-1][1][0]+val[i]);
dp[i][1][0]=max(max(dp[i-1][0][1],dp[i-1][0][0]+val[i-1]),dp[i-1][1][0]);
}
for(int i=0;i<n;i++)
{
ans=max({ans,dp[i][0][0],dp[i][0][1],dp[i][1][0],dp[i][1][1]});
}
return ans;
}
long long max_weights(int N, int M, std::vector<int> X, std::vector<int> Y,std::vector<int> W)
{
ll n=N,m=M,ans=0;
vector<ll> x(all(X)),y(all(Y)),w(all(W));
ll mx_x=*max_element(all(x));
if(n<=3000)
return solve(n,m,x,y,w);
if(mx_x<=1)
return subtask2(n,m,x,y,w);
return subtask3(n,m,x,y,w);
}
Compilation message
fish.cpp: In function 'long long int max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:149:16: warning: unused variable 'ans' [-Wunused-variable]
149 | ll n=N,m=M,ans=0;
| ^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
5468 KB |
Output is correct |
2 |
Correct |
21 ms |
6492 KB |
Output is correct |
3 |
Correct |
2 ms |
1884 KB |
Output is correct |
4 |
Correct |
1 ms |
1884 KB |
Output is correct |
5 |
Correct |
71 ms |
22124 KB |
Output is correct |
6 |
Correct |
72 ms |
22100 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
41 ms |
9268 KB |
Output is correct |
3 |
Correct |
42 ms |
11344 KB |
Output is correct |
4 |
Correct |
31 ms |
5460 KB |
Output is correct |
5 |
Correct |
19 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
1884 KB |
Output is correct |
11 |
Correct |
1 ms |
1884 KB |
Output is correct |
12 |
Correct |
15 ms |
5720 KB |
Output is correct |
13 |
Correct |
27 ms |
6480 KB |
Output is correct |
14 |
Correct |
16 ms |
5468 KB |
Output is correct |
15 |
Correct |
22 ms |
6124 KB |
Output is correct |
16 |
Correct |
16 ms |
5508 KB |
Output is correct |
17 |
Correct |
26 ms |
6104 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
1884 KB |
Output is correct |
2 |
Correct |
4 ms |
8028 KB |
Output is correct |
3 |
Correct |
18 ms |
9792 KB |
Output is correct |
4 |
Correct |
21 ms |
9896 KB |
Output is correct |
5 |
Correct |
23 ms |
12884 KB |
Output is correct |
6 |
Correct |
26 ms |
12884 KB |
Output is correct |
7 |
Correct |
23 ms |
12892 KB |
Output is correct |
8 |
Correct |
22 ms |
12888 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 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 |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
3164 KB |
Output is correct |
10 |
Correct |
3 ms |
7516 KB |
Output is correct |
11 |
Correct |
1 ms |
3164 KB |
Output is correct |
12 |
Correct |
3 ms |
7528 KB |
Output is correct |
13 |
Correct |
1 ms |
1372 KB |
Output is correct |
14 |
Correct |
4 ms |
7516 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 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 |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
3164 KB |
Output is correct |
10 |
Correct |
3 ms |
7516 KB |
Output is correct |
11 |
Correct |
1 ms |
3164 KB |
Output is correct |
12 |
Correct |
3 ms |
7528 KB |
Output is correct |
13 |
Correct |
1 ms |
1372 KB |
Output is correct |
14 |
Correct |
4 ms |
7516 KB |
Output is correct |
15 |
Correct |
3 ms |
7512 KB |
Output is correct |
16 |
Correct |
1 ms |
1628 KB |
Output is correct |
17 |
Correct |
12 ms |
9560 KB |
Output is correct |
18 |
Correct |
11 ms |
9564 KB |
Output is correct |
19 |
Correct |
11 ms |
9564 KB |
Output is correct |
20 |
Correct |
13 ms |
9564 KB |
Output is correct |
21 |
Correct |
12 ms |
9564 KB |
Output is correct |
22 |
Correct |
19 ms |
11868 KB |
Output is correct |
23 |
Correct |
5 ms |
8028 KB |
Output is correct |
24 |
Correct |
11 ms |
9052 KB |
Output is correct |
25 |
Correct |
5 ms |
7516 KB |
Output is correct |
26 |
Correct |
6 ms |
8028 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 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 |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
3164 KB |
Output is correct |
10 |
Correct |
3 ms |
7516 KB |
Output is correct |
11 |
Correct |
1 ms |
3164 KB |
Output is correct |
12 |
Correct |
3 ms |
7528 KB |
Output is correct |
13 |
Correct |
1 ms |
1372 KB |
Output is correct |
14 |
Correct |
4 ms |
7516 KB |
Output is correct |
15 |
Correct |
3 ms |
7512 KB |
Output is correct |
16 |
Correct |
1 ms |
1628 KB |
Output is correct |
17 |
Correct |
12 ms |
9560 KB |
Output is correct |
18 |
Correct |
11 ms |
9564 KB |
Output is correct |
19 |
Correct |
11 ms |
9564 KB |
Output is correct |
20 |
Correct |
13 ms |
9564 KB |
Output is correct |
21 |
Correct |
12 ms |
9564 KB |
Output is correct |
22 |
Correct |
19 ms |
11868 KB |
Output is correct |
23 |
Correct |
5 ms |
8028 KB |
Output is correct |
24 |
Correct |
11 ms |
9052 KB |
Output is correct |
25 |
Correct |
5 ms |
7516 KB |
Output is correct |
26 |
Correct |
6 ms |
8028 KB |
Output is correct |
27 |
Correct |
170 ms |
352848 KB |
Output is correct |
28 |
Correct |
55 ms |
41556 KB |
Output is correct |
29 |
Correct |
232 ms |
366684 KB |
Output is correct |
30 |
Correct |
238 ms |
366928 KB |
Output is correct |
31 |
Correct |
237 ms |
366704 KB |
Output is correct |
32 |
Correct |
93 ms |
32852 KB |
Output is correct |
33 |
Correct |
242 ms |
366716 KB |
Output is correct |
34 |
Correct |
244 ms |
366720 KB |
Output is correct |
35 |
Correct |
237 ms |
358228 KB |
Output is correct |
36 |
Correct |
231 ms |
366712 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
1884 KB |
Output is correct |
2 |
Correct |
4 ms |
8028 KB |
Output is correct |
3 |
Correct |
18 ms |
9792 KB |
Output is correct |
4 |
Correct |
21 ms |
9896 KB |
Output is correct |
5 |
Correct |
23 ms |
12884 KB |
Output is correct |
6 |
Correct |
26 ms |
12884 KB |
Output is correct |
7 |
Correct |
23 ms |
12892 KB |
Output is correct |
8 |
Correct |
22 ms |
12888 KB |
Output is correct |
9 |
Incorrect |
20 ms |
12892 KB |
1st lines differ - on the 1st token, expected: '99999', found: '66666' |
10 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
5468 KB |
Output is correct |
2 |
Correct |
21 ms |
6492 KB |
Output is correct |
3 |
Correct |
2 ms |
1884 KB |
Output is correct |
4 |
Correct |
1 ms |
1884 KB |
Output is correct |
5 |
Correct |
71 ms |
22124 KB |
Output is correct |
6 |
Correct |
72 ms |
22100 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
41 ms |
9268 KB |
Output is correct |
9 |
Correct |
42 ms |
11344 KB |
Output is correct |
10 |
Correct |
31 ms |
5460 KB |
Output is correct |
11 |
Correct |
19 ms |
6492 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
1884 KB |
Output is correct |
17 |
Correct |
1 ms |
1884 KB |
Output is correct |
18 |
Correct |
15 ms |
5720 KB |
Output is correct |
19 |
Correct |
27 ms |
6480 KB |
Output is correct |
20 |
Correct |
16 ms |
5468 KB |
Output is correct |
21 |
Correct |
22 ms |
6124 KB |
Output is correct |
22 |
Correct |
16 ms |
5508 KB |
Output is correct |
23 |
Correct |
26 ms |
6104 KB |
Output is correct |
24 |
Correct |
2 ms |
1884 KB |
Output is correct |
25 |
Correct |
4 ms |
8028 KB |
Output is correct |
26 |
Correct |
18 ms |
9792 KB |
Output is correct |
27 |
Correct |
21 ms |
9896 KB |
Output is correct |
28 |
Correct |
23 ms |
12884 KB |
Output is correct |
29 |
Correct |
26 ms |
12884 KB |
Output is correct |
30 |
Correct |
23 ms |
12892 KB |
Output is correct |
31 |
Correct |
22 ms |
12888 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 |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
2 ms |
3164 KB |
Output is correct |
41 |
Correct |
3 ms |
7516 KB |
Output is correct |
42 |
Correct |
1 ms |
3164 KB |
Output is correct |
43 |
Correct |
3 ms |
7528 KB |
Output is correct |
44 |
Correct |
1 ms |
1372 KB |
Output is correct |
45 |
Correct |
4 ms |
7516 KB |
Output is correct |
46 |
Correct |
3 ms |
7512 KB |
Output is correct |
47 |
Correct |
1 ms |
1628 KB |
Output is correct |
48 |
Correct |
12 ms |
9560 KB |
Output is correct |
49 |
Correct |
11 ms |
9564 KB |
Output is correct |
50 |
Correct |
11 ms |
9564 KB |
Output is correct |
51 |
Correct |
13 ms |
9564 KB |
Output is correct |
52 |
Correct |
12 ms |
9564 KB |
Output is correct |
53 |
Correct |
19 ms |
11868 KB |
Output is correct |
54 |
Correct |
5 ms |
8028 KB |
Output is correct |
55 |
Correct |
11 ms |
9052 KB |
Output is correct |
56 |
Correct |
5 ms |
7516 KB |
Output is correct |
57 |
Correct |
6 ms |
8028 KB |
Output is correct |
58 |
Correct |
170 ms |
352848 KB |
Output is correct |
59 |
Correct |
55 ms |
41556 KB |
Output is correct |
60 |
Correct |
232 ms |
366684 KB |
Output is correct |
61 |
Correct |
238 ms |
366928 KB |
Output is correct |
62 |
Correct |
237 ms |
366704 KB |
Output is correct |
63 |
Correct |
93 ms |
32852 KB |
Output is correct |
64 |
Correct |
242 ms |
366716 KB |
Output is correct |
65 |
Correct |
244 ms |
366720 KB |
Output is correct |
66 |
Correct |
237 ms |
358228 KB |
Output is correct |
67 |
Correct |
231 ms |
366712 KB |
Output is correct |
68 |
Incorrect |
20 ms |
12892 KB |
1st lines differ - on the 1st token, expected: '99999', found: '66666' |
69 |
Halted |
0 ms |
0 KB |
- |