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Submission #1023104

# Submission time Handle Problem Language Result Execution time Memory
1023104 2024-07-14T09:45:33 Z vjudge1 Catfish Farm (IOI22_fish) C++17
67 / 100
 1000 ms 1698128 KB 
#include "fish.h"
#include <bits/stdc++.h>

#pragma GCC optimize("Ofast")

using namespace std;

#define ll long long
#define pb push_back
#define F first
#define S second
#define all(v) v.begin(),v.end()
#define sz(s) (int)s.size()
#define lb lower_bound
#define ub upper_bound
#define mem(a,i) memset(a,i,sizeof(a))

const int MAX=2e5+10;

int n;
vector<pair<ll,ll>> y[MAX];
vector<ll> p[MAX];
vector<vector<ll>> dp[MAX];
vector<ll> can[MAX];

ll getSum(int x,ll l,ll r){
    if(l>r)return 0;
    int L=lb(all(y[x]),make_pair(l,0ll))-y[x].begin();
    int R=ub(all(y[x]),make_pair(r+1,0ll))-y[x].begin()-1;
    if(L<=R){
        if(L==0)return p[x][R];
        return p[x][R]-p[x][L-1];
    }
    return 0;
}

vector<vector<ll>> sumF[MAX];
vector<vector<ll>> sumB[MAX];
vector<pair<int,int>> vec[MAX];
vector<vector<ll>> w;

struct t300{

    ll dp[310][310][2];

    ll getP(int i,int l,int r){
        if(l>r||i==0)return 0;
        return p[i][r]-p[i][l-1];
    }

    ll solve300(){
        for(int i=1;i<=n;i++){
            p[i].resize(n+10);
            p[i][0]=0;
            for(int j=1;j<=n;j++){
                p[i][j]=p[i][j-1]+w[i][j];
            }
        }
        mem(dp,0);
        for(int i=2;i<=n;i++){
            {
                ll mx=0;
                for(int j=n;j>=0;j--){
                    mx=max(mx,max(dp[i-1][j][0],dp[i-1][j][1])+p[i][j]);
                    dp[i][j][0]=mx-p[i][j];
                }

            }
            {
                ll mx=0;
                for(int j=0;j<=n;j++){
                    mx=max(mx,dp[i-1][j][1]-p[i-1][j]);
                    dp[i][j][1]=mx+p[i-1][j];
                    dp[i][j][1]=max(dp[i][j][1],dp[i-1][0][0]);
                }
                
            }
            // for(int j=0;j<=n;j++){
            //     {
            //         for(int f=0;f<=j;f++){
            //             dp[i][j][1]=max(dp[i][j][1],dp[i-1][f][1]+getP(i-1,f+1,j));
            //         }
            //         dp[i][j][1]=max(dp[i][j][1],dp[i-1][0][0]);
            //     }
            // }
        }
        ll ans=0;
        for(int j=0;j<=n;j++)ans=max(ans,max(dp[n][j][0],dp[n][j][1]));
        return ans;
    }
};


long long max_weights(int N, int M, vector<int> X, vector<int> Y,vector<int> W) {
    // assert(N<=300);
    n=N;
    int MX=0;
    bool sub=1;
    for(int i=0;i<M;i++){
        X[i]++;
        Y[i]++;
        y[X[i]].pb({Y[i],i});
        vec[Y[i]].pb({X[i],W[i]});
        sub&=(X[i]%2==1);
        MX=max(MX,X[i]);
    }
    if(sub){
        ll ans=0;
        for(int i=0;i<M;i++)ans+=W[i];
        return ans;
    }
    if(MX<=2){
        if(N==2){
            ll f=0,f1=0;
            for(int i=0;i<M;i++){
                if(X[i]%2)f+=W[i];
                else f1+=W[i];
            }
            return max(f,f1);
        }
        ll sum=0;
        for(int i=0;i<M;i++){
            if(X[i]%2==0)sum+=W[i];
        }
        ll ans=sum;
        for(int i=1;i<=N;i++){
            for(auto [x,w]:vec[i]){
                if(x%2==1)sum+=w;
                else sum-=w;
            }
            ans=max(ans,sum);
        }
        return ans;
    }
    for(int i=1;i<=N;i++){
        if(y[i].empty())continue;
        sort(all(y[i]));
        p[i].pb(W[y[i][0].S]);
        for(int j=1;j<sz(y[i]);j++){
            p[i].pb(p[i].back()+W[y[i][j].S]);
        }
    }
    if(N<=300){
        w.resize(N+10);
        for(int i=1;i<=n;i++){
            w[i].resize(n+10);
            for(int j=1;j<=n;j++){
                w[i][j]=0;
            }
            for(auto [pos,num]:y[i])w[i][pos]=W[num];
        }
        t300 FFF;
        return FFF.solve300();
    }
    can[0].pb(0);
    can[N+1].pb(0);
    for(int i=1;i<=N;i++){
        can[i].pb(0);
        if(i>0){
            for(auto [x,b]:y[i-1])can[i].pb(x);
        }
        if(i+1<=N){
            for(auto [x,b]:y[i+1])can[i].pb(x);
        }
        sort(all(can[i]));
        can[i].erase(unique(all(can[i])),can[i].end());
    }
    for(int i=1;i<=N+1;i++){
        dp[i].resize(sz(can[i]));
        for(int j=0;j<sz(dp[i]);j++){
            dp[i][j].resize(sz(can[i-1]));
            for(int k=0;k<sz(can[i-1]);k++){
                dp[i][j][k]=0;
            }
        }
    }
    for(int i=0;i<N;i++){
        sumF[i].resize(sz(can[i]));
        for(int j=0;j<sz(can[i]);j++){
            sumF[i][j].resize(sz(can[i+1]));
            for(int k=0;k<sz(can[i+1]);k++){
                sumF[i][j][k]=getSum(i+1,can[i+1][k]+1,can[i][j]);
            }
        }
    }
    for(int i=1;i<=N+1;i++){
        sumB[i].resize(sz(can[i]));
        for(int j=0;j<sz(can[i]);j++){
            sumB[i][j].resize(sz(can[i-1]));
            for(int k=0;k<sz(can[i-1]);k++){
                sumB[i][j][k]=getSum(i-1,can[i-1][k]+1,can[i][j]);
            }
        }
    }
    for(int i=1;i<=N;i++){
        for(int j=0;j<sz(can[i]);j++){
            for(int k=0;k<sz(can[i-1]);k++){
                for(int f=0;f<sz(can[i+1]);f++){
                    ll nxt=dp[i][j][k];
                    {
                        nxt+=max(sumF[i-1][k][j],sumB[i+1][f][j]);
                    }
                    dp[i+1][f][j]=max(dp[i+1][f][j],nxt);
                }
            }
        }
    }
    ll ans=0;
    for(int j=0;j<sz(can[N]);j++)ans=max(ans,dp[N+1][0][j]);
    return ans;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 40644 KB Output is correct
2 Correct 42 ms 41664 KB Output is correct
3 Correct 21 ms 34644 KB Output is correct
4 Correct 15 ms 34652 KB Output is correct
5 Correct 102 ms 51364 KB Output is correct
6 Correct 144 ms 53716 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 34652 KB Output is correct
2 Correct 58 ms 44168 KB Output is correct
3 Correct 66 ms 45616 KB Output is correct
4 Correct 38 ms 40648 KB Output is correct
5 Correct 39 ms 41676 KB Output is correct
6 Correct 15 ms 34812 KB Output is correct
7 Correct 16 ms 34652 KB Output is correct
8 Correct 20 ms 34652 KB Output is correct
9 Correct 17 ms 34804 KB Output is correct
10 Correct 15 ms 34652 KB Output is correct
11 Correct 17 ms 34652 KB Output is correct
12 Correct 37 ms 40656 KB Output is correct
13 Correct 48 ms 41664 KB Output is correct
14 Correct 39 ms 40508 KB Output is correct
15 Correct 42 ms 39740 KB Output is correct
16 Correct 46 ms 40392 KB Output is correct
17 Correct 43 ms 41148 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 34652 KB Output is correct
2 Correct 46 ms 56656 KB Output is correct
3 Correct 83 ms 71116 KB Output is correct
4 Correct 73 ms 68456 KB Output is correct
5 Correct 115 ms 86476 KB Output is correct
6 Correct 112 ms 86472 KB Output is correct
7 Correct 112 ms 86468 KB Output is correct
8 Correct 121 ms 86312 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 34652 KB Output is correct
2 Correct 15 ms 34652 KB Output is correct
3 Correct 16 ms 34764 KB Output is correct
4 Correct 15 ms 34816 KB Output is correct
5 Correct 16 ms 34652 KB Output is correct
6 Correct 16 ms 34652 KB Output is correct
7 Correct 13 ms 34652 KB Output is correct
8 Correct 16 ms 34680 KB Output is correct
9 Correct 17 ms 35164 KB Output is correct
10 Correct 18 ms 36416 KB Output is correct
11 Correct 16 ms 35160 KB Output is correct
12 Correct 17 ms 36188 KB Output is correct
13 Correct 13 ms 34908 KB Output is correct
14 Correct 14 ms 36188 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 34652 KB Output is correct
2 Correct 15 ms 34652 KB Output is correct
3 Correct 16 ms 34764 KB Output is correct
4 Correct 15 ms 34816 KB Output is correct
5 Correct 16 ms 34652 KB Output is correct
6 Correct 16 ms 34652 KB Output is correct
7 Correct 13 ms 34652 KB Output is correct
8 Correct 16 ms 34680 KB Output is correct
9 Correct 17 ms 35164 KB Output is correct
10 Correct 18 ms 36416 KB Output is correct
11 Correct 16 ms 35160 KB Output is correct
12 Correct 17 ms 36188 KB Output is correct
13 Correct 13 ms 34908 KB Output is correct
14 Correct 14 ms 36188 KB Output is correct
15 Correct 17 ms 36188 KB Output is correct
16 Correct 16 ms 34904 KB Output is correct
17 Correct 29 ms 39000 KB Output is correct
18 Correct 28 ms 39516 KB Output is correct
19 Correct 28 ms 39132 KB Output is correct
20 Correct 29 ms 39248 KB Output is correct
21 Correct 30 ms 39248 KB Output is correct
22 Correct 41 ms 42580 KB Output is correct
23 Correct 21 ms 36696 KB Output is correct
24 Correct 25 ms 37976 KB Output is correct
25 Correct 17 ms 36184 KB Output is correct
26 Correct 17 ms 36740 KB Output is correct

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 34652 KB Output is correct
2 Correct 15 ms 34652 KB Output is correct
3 Correct 16 ms 34764 KB Output is correct
4 Correct 15 ms 34816 KB Output is correct
5 Correct 16 ms 34652 KB Output is correct
6 Correct 16 ms 34652 KB Output is correct
7 Correct 13 ms 34652 KB Output is correct
8 Correct 16 ms 34680 KB Output is correct
9 Correct 17 ms 35164 KB Output is correct
10 Correct 18 ms 36416 KB Output is correct
11 Correct 16 ms 35160 KB Output is correct
12 Correct 17 ms 36188 KB Output is correct
13 Correct 13 ms 34908 KB Output is correct
14 Correct 14 ms 36188 KB Output is correct
15 Correct 17 ms 36188 KB Output is correct
16 Correct 16 ms 34904 KB Output is correct
17 Correct 29 ms 39000 KB Output is correct
18 Correct 28 ms 39516 KB Output is correct
19 Correct 28 ms 39132 KB Output is correct
20 Correct 29 ms 39248 KB Output is correct
21 Correct 30 ms 39248 KB Output is correct
22 Correct 41 ms 42580 KB Output is correct
23 Correct 21 ms 36696 KB Output is correct
24 Correct 25 ms 37976 KB Output is correct
25 Correct 17 ms 36184 KB Output is correct
26 Correct 17 ms 36740 KB Output is correct
27 Correct 20 ms 36700 KB Output is correct
28 Execution timed out 1100 ms 1698128 KB Time limit exceeded
29 Halted 0 ms 0 KB -

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 34652 KB Output is correct
2 Correct 46 ms 56656 KB Output is correct
3 Correct 83 ms 71116 KB Output is correct
4 Correct 73 ms 68456 KB Output is correct
5 Correct 115 ms 86476 KB Output is correct
6 Correct 112 ms 86472 KB Output is correct
7 Correct 112 ms 86468 KB Output is correct
8 Correct 121 ms 86312 KB Output is correct
9 Correct 177 ms 102736 KB Output is correct
10 Correct 92 ms 71488 KB Output is correct
11 Correct 170 ms 108608 KB Output is correct
12 Correct 15 ms 34648 KB Output is correct
13 Correct 13 ms 34648 KB Output is correct
14 Correct 16 ms 34648 KB Output is correct
15 Correct 17 ms 34652 KB Output is correct
16 Correct 16 ms 34652 KB Output is correct
17 Correct 27 ms 34652 KB Output is correct
18 Correct 16 ms 34724 KB Output is correct
19 Correct 25 ms 34652 KB Output is correct
20 Correct 83 ms 56660 KB Output is correct
21 Correct 48 ms 56656 KB Output is correct
22 Correct 186 ms 105672 KB Output is correct
23 Correct 243 ms 150892 KB Output is correct
24 Correct 294 ms 161096 KB Output is correct

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 40644 KB Output is correct
2 Correct 42 ms 41664 KB Output is correct
3 Correct 21 ms 34644 KB Output is correct
4 Correct 15 ms 34652 KB Output is correct
5 Correct 102 ms 51364 KB Output is correct
6 Correct 144 ms 53716 KB Output is correct
7 Correct 15 ms 34652 KB Output is correct
8 Correct 58 ms 44168 KB Output is correct
9 Correct 66 ms 45616 KB Output is correct
10 Correct 38 ms 40648 KB Output is correct
11 Correct 39 ms 41676 KB Output is correct
12 Correct 15 ms 34812 KB Output is correct
13 Correct 16 ms 34652 KB Output is correct
14 Correct 20 ms 34652 KB Output is correct
15 Correct 17 ms 34804 KB Output is correct
16 Correct 15 ms 34652 KB Output is correct
17 Correct 17 ms 34652 KB Output is correct
18 Correct 37 ms 40656 KB Output is correct
19 Correct 48 ms 41664 KB Output is correct
20 Correct 39 ms 40508 KB Output is correct
21 Correct 42 ms 39740 KB Output is correct
22 Correct 46 ms 40392 KB Output is correct
23 Correct 43 ms 41148 KB Output is correct
24 Correct 16 ms 34652 KB Output is correct
25 Correct 46 ms 56656 KB Output is correct
26 Correct 83 ms 71116 KB Output is correct
27 Correct 73 ms 68456 KB Output is correct
28 Correct 115 ms 86476 KB Output is correct
29 Correct 112 ms 86472 KB Output is correct
30 Correct 112 ms 86468 KB Output is correct
31 Correct 121 ms 86312 KB Output is correct
32 Correct 15 ms 34652 KB Output is correct
33 Correct 15 ms 34652 KB Output is correct
34 Correct 16 ms 34764 KB Output is correct
35 Correct 15 ms 34816 KB Output is correct
36 Correct 16 ms 34652 KB Output is correct
37 Correct 16 ms 34652 KB Output is correct
38 Correct 13 ms 34652 KB Output is correct
39 Correct 16 ms 34680 KB Output is correct
40 Correct 17 ms 35164 KB Output is correct
41 Correct 18 ms 36416 KB Output is correct
42 Correct 16 ms 35160 KB Output is correct
43 Correct 17 ms 36188 KB Output is correct
44 Correct 13 ms 34908 KB Output is correct
45 Correct 14 ms 36188 KB Output is correct
46 Correct 17 ms 36188 KB Output is correct
47 Correct 16 ms 34904 KB Output is correct
48 Correct 29 ms 39000 KB Output is correct
49 Correct 28 ms 39516 KB Output is correct
50 Correct 28 ms 39132 KB Output is correct
51 Correct 29 ms 39248 KB Output is correct
52 Correct 30 ms 39248 KB Output is correct
53 Correct 41 ms 42580 KB Output is correct
54 Correct 21 ms 36696 KB Output is correct
55 Correct 25 ms 37976 KB Output is correct
56 Correct 17 ms 36184 KB Output is correct
57 Correct 17 ms 36740 KB Output is correct
58 Correct 20 ms 36700 KB Output is correct
59 Execution timed out 1100 ms 1698128 KB Time limit exceeded
60 Halted 0 ms 0 KB -