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Submission #1042329

# Submission time Handle Problem Language Result Execution time Memory
1042329 2024-08-02T21:18:54 Z VMaksimoski008 Catfish Farm (IOI22_fish) C++17
100 / 100
 783 ms 251356 KB 
#include "fish.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,bmi,bmi2,lzcnt,popcnt")
 
ll max_weights(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
    for(int i=0; i<M; i++) X[i]++, Y[i]++;
    map<int, int> mp[N+5];
    for(int i=0; i<M; i++) mp[X[i]][Y[i]] = W[i];
    ll ans = 0;

    vector<pair<int, int> > vec[N+5];
    vector<int> pos[N+5], SZ(N+5);
    for(int i=1; i<=N; i++) vec[i].push_back({ 0, 0 });
    for(int i=0; i<M; i++) vec[X[i]].push_back({ Y[i], W[i] });

    for(int i=1; i<=N; i++) {
        set<int> st;
        for(int j=-1; j<=1; j++) for(auto &x : vec[i-j]) st.insert(x.first);
        for(auto &x : st) pos[i].push_back(x);
        sort(vec[i].begin(), vec[i].end());
    }

    vector<vector<ll> > pref(N+5), pmx1(N+5), smx1(N+5), pmx2(N+5), smx2(N+5);
    vector<vector<vector<ll> > > dp(N+5);
    for(int i=N; i>=1; i--) {
        SZ[i] = pos[i].size() - 1;
        pref[i].resize(SZ[i] + 10);
        pmx1[i].resize(SZ[i] + 10);
        smx1[i].resize(SZ[i] + 10);
        pmx2[i].resize(SZ[i] + 10);
        smx2[i].resize(SZ[i] + 10);
        dp[i].resize(SZ[i] + 5, vector<ll>(2));
        
        if(i == 1) {
            pmx1[i][0] = dp[i][0][1] - pref[i][0];
            for(int j=1; j<=SZ[i]; j++) pmx1[i][j] = max(pmx1[i][j-1], dp[i][j][1] - pref[i][j]);

            for(int j=SZ[i]; j>=0; j--) {
                int p = upper_bound(pos[i+1].begin(), pos[i+1].end(), pos[i][j]) - pos[i+1].begin() - 1;
                smx1[i][j] = pref[i+1][p];
            }

            for(int j=SZ[i]-1; j>=0; j--) smx1[i][j] = max(smx1[i][j], smx1[i][j+1]);
        }

        for(int j=1; j<=SZ[i]; j++) pref[i][j] = pref[i][j-1] + mp[i][pos[i][j]];
    }

    for(int i=2; i<=N; i++) {
        int ptr = 0, ptr2 = 0;
        for(int j=0; j<=SZ[i]; j++) {
            int p = upper_bound(pos[i-1].begin(), pos[i-1].end(), pos[i][j]) - pos[i-1].begin() - 1;
            dp[i][j][1] = max(dp[i][j][1], pmx1[i-1][p] + pref[i-1][p]);
            while(ptr + 1 <= SZ[i-1] && pos[i-1][ptr] < pos[i][j]) ptr++;
            if(pos[i-1][ptr] >= pos[i][j]) dp[i][j][0] = max(dp[i][j][0], smx1[i-1][ptr] - pref[i][j]);

            if(i < 3) continue;
            int pa = upper_bound(pos[i-2].begin(), pos[i-2].end(), pos[i][j]) - pos[i-2].begin() - 1;
            int pb = upper_bound(pos[i-1].begin(), pos[i-1].end(), pos[i][j]) - pos[i-1].begin() - 1;
            dp[i][j][0] = max(dp[i][j][0], pmx2[i-2][pa] + pref[i-1][pb]);
            
            while(ptr2 + 1 <= SZ[i-2] && pos[i-2][ptr2] < pos[i][j]) ptr2++;
            if(pos[i-2][ptr2] >= pos[i][j]) dp[i][j][1] = max(dp[i][j][1], smx1[i-2][ptr2]);
        }

        pmx1[i][0] = dp[i][0][1] - pref[i][0];
        pmx2[i][0] = max(dp[i][0][0], dp[i][0][1]);
        for(int j=1; j<=SZ[i]; j++) {
            pmx1[i][j] = max(pmx1[i][j-1], dp[i][j][1] - pref[i][j]);
            pmx2[i][j] = max(pmx2[i][j-1], max(dp[i][j][0], dp[i][j][1]));
        }

        if(i == N) continue;
        for(int j=SZ[i]; j>=0; j--) {
            int p = upper_bound(pos[i+1].begin(), pos[i+1].end(), pos[i][j]) - pos[i+1].begin() - 1;
            smx1[i][j] = max(dp[i][j][0], dp[i][j][1]) + pref[i+1][p];
        }

        for(int j=SZ[i]-1; j>=0; j--) smx1[i][j] = max(smx1[i][j], smx1[i][j+1]);
    }

    for(int i=1; i<=N; i++) {
        for(int j=0; j<=SZ[i]; j++) {
            if(pref[i+1].empty() || j == 0) ans = max({ ans, dp[i][j][0], dp[i][j][1] });
            else {
                int p = upper_bound(pos[i+1].begin(), pos[i+1].end(), pos[i][j]) - pos[i+1].begin() - 1;
                ans = max(ans, max(dp[i][j][0], dp[i][j][1]) + pref[i+1][p]);
            }
        }
    }
    return ans;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 218 ms 121028 KB Output is correct
2 Correct 255 ms 137672 KB Output is correct
3 Correct 127 ms 105552 KB Output is correct
4 Correct 125 ms 105604 KB Output is correct
5 Correct 783 ms 245812 KB Output is correct
6 Correct 679 ms 251356 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 341 ms 137864 KB Output is correct
3 Correct 389 ms 158904 KB Output is correct
4 Correct 226 ms 122308 KB Output is correct
5 Correct 257 ms 139460 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 125 ms 105496 KB Output is correct
11 Correct 132 ms 105552 KB Output is correct
12 Correct 260 ms 134192 KB Output is correct
13 Correct 332 ms 154032 KB Output is correct
14 Correct 242 ms 128864 KB Output is correct
15 Correct 240 ms 131020 KB Output is correct
16 Correct 247 ms 128460 KB Output is correct
17 Correct 259 ms 142532 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 124 ms 105668 KB Output is correct
2 Correct 118 ms 105636 KB Output is correct
3 Correct 157 ms 102956 KB Output is correct
4 Correct 160 ms 111356 KB Output is correct
5 Correct 164 ms 118868 KB Output is correct
6 Correct 169 ms 118912 KB Output is correct
7 Correct 169 ms 118864 KB Output is correct
8 Correct 175 ms 118864 KB Output is correct

Subtask #4
14.0 / 14.0

# 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 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 1188 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 860 KB Output is correct

Subtask #5
21.0 / 21.0

# 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 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 1188 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 860 KB Output is correct
16 Correct 2 ms 860 KB Output is correct
17 Correct 38 ms 11204 KB Output is correct
18 Correct 32 ms 9756 KB Output is correct
19 Correct 32 ms 10068 KB Output is correct
20 Correct 29 ms 9048 KB Output is correct
21 Correct 30 ms 8788 KB Output is correct
22 Correct 61 ms 17236 KB Output is correct
23 Correct 11 ms 4440 KB Output is correct
24 Correct 46 ms 10844 KB Output is correct
25 Correct 1 ms 1112 KB Output is correct
26 Correct 9 ms 3856 KB Output is correct

Subtask #6
17.0 / 17.0

# 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 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 1188 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 860 KB Output is correct
15 Correct 1 ms 860 KB Output is correct
16 Correct 2 ms 860 KB Output is correct
17 Correct 38 ms 11204 KB Output is correct
18 Correct 32 ms 9756 KB Output is correct
19 Correct 32 ms 10068 KB Output is correct
20 Correct 29 ms 9048 KB Output is correct
21 Correct 30 ms 8788 KB Output is correct
22 Correct 61 ms 17236 KB Output is correct
23 Correct 11 ms 4440 KB Output is correct
24 Correct 46 ms 10844 KB Output is correct
25 Correct 1 ms 1112 KB Output is correct
26 Correct 9 ms 3856 KB Output is correct
27 Correct 5 ms 4700 KB Output is correct
28 Correct 241 ms 48576 KB Output is correct
29 Correct 385 ms 90708 KB Output is correct
30 Correct 489 ms 144468 KB Output is correct
31 Correct 486 ms 143444 KB Output is correct
32 Correct 249 ms 61724 KB Output is correct
33 Correct 508 ms 147796 KB Output is correct
34 Correct 507 ms 147536 KB Output is correct
35 Correct 141 ms 46612 KB Output is correct
36 Correct 490 ms 127632 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 124 ms 105668 KB Output is correct
2 Correct 118 ms 105636 KB Output is correct
3 Correct 157 ms 102956 KB Output is correct
4 Correct 160 ms 111356 KB Output is correct
5 Correct 164 ms 118868 KB Output is correct
6 Correct 169 ms 118912 KB Output is correct
7 Correct 169 ms 118864 KB Output is correct
8 Correct 175 ms 118864 KB Output is correct
9 Correct 241 ms 147024 KB Output is correct
10 Correct 122 ms 70484 KB Output is correct
11 Correct 256 ms 140624 KB Output is correct
12 Correct 0 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 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 128 ms 105548 KB Output is correct
19 Correct 124 ms 105520 KB Output is correct
20 Correct 115 ms 105556 KB Output is correct
21 Correct 122 ms 105936 KB Output is correct
22 Correct 322 ms 149840 KB Output is correct
23 Correct 394 ms 165456 KB Output is correct
24 Correct 395 ms 168276 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 218 ms 121028 KB Output is correct
2 Correct 255 ms 137672 KB Output is correct
3 Correct 127 ms 105552 KB Output is correct
4 Correct 125 ms 105604 KB Output is correct
5 Correct 783 ms 245812 KB Output is correct
6 Correct 679 ms 251356 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 341 ms 137864 KB Output is correct
9 Correct 389 ms 158904 KB Output is correct
10 Correct 226 ms 122308 KB Output is correct
11 Correct 257 ms 139460 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 125 ms 105496 KB Output is correct
17 Correct 132 ms 105552 KB Output is correct
18 Correct 260 ms 134192 KB Output is correct
19 Correct 332 ms 154032 KB Output is correct
20 Correct 242 ms 128864 KB Output is correct
21 Correct 240 ms 131020 KB Output is correct
22 Correct 247 ms 128460 KB Output is correct
23 Correct 259 ms 142532 KB Output is correct
24 Correct 124 ms 105668 KB Output is correct
25 Correct 118 ms 105636 KB Output is correct
26 Correct 157 ms 102956 KB Output is correct
27 Correct 160 ms 111356 KB Output is correct
28 Correct 164 ms 118868 KB Output is correct
29 Correct 169 ms 118912 KB Output is correct
30 Correct 169 ms 118864 KB Output is correct
31 Correct 175 ms 118864 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 344 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 1 ms 1188 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 2 ms 860 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 1 ms 860 KB Output is correct
46 Correct 1 ms 860 KB Output is correct
47 Correct 2 ms 860 KB Output is correct
48 Correct 38 ms 11204 KB Output is correct
49 Correct 32 ms 9756 KB Output is correct
50 Correct 32 ms 10068 KB Output is correct
51 Correct 29 ms 9048 KB Output is correct
52 Correct 30 ms 8788 KB Output is correct
53 Correct 61 ms 17236 KB Output is correct
54 Correct 11 ms 4440 KB Output is correct
55 Correct 46 ms 10844 KB Output is correct
56 Correct 1 ms 1112 KB Output is correct
57 Correct 9 ms 3856 KB Output is correct
58 Correct 5 ms 4700 KB Output is correct
59 Correct 241 ms 48576 KB Output is correct
60 Correct 385 ms 90708 KB Output is correct
61 Correct 489 ms 144468 KB Output is correct
62 Correct 486 ms 143444 KB Output is correct
63 Correct 249 ms 61724 KB Output is correct
64 Correct 508 ms 147796 KB Output is correct
65 Correct 507 ms 147536 KB Output is correct
66 Correct 141 ms 46612 KB Output is correct
67 Correct 490 ms 127632 KB Output is correct
68 Correct 241 ms 147024 KB Output is correct
69 Correct 122 ms 70484 KB Output is correct
70 Correct 256 ms 140624 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 0 ms 348 KB Output is correct
74 Correct 0 ms 344 KB Output is correct
75 Correct 0 ms 348 KB Output is correct
76 Correct 0 ms 348 KB Output is correct
77 Correct 128 ms 105548 KB Output is correct
78 Correct 124 ms 105520 KB Output is correct
79 Correct 115 ms 105556 KB Output is correct
80 Correct 122 ms 105936 KB Output is correct
81 Correct 322 ms 149840 KB Output is correct
82 Correct 394 ms 165456 KB Output is correct
83 Correct 395 ms 168276 KB Output is correct
84 Correct 681 ms 224724 KB Output is correct
85 Correct 727 ms 233672 KB Output is correct
86 Correct 648 ms 239060 KB Output is correct
87 Correct 688 ms 250800 KB Output is correct
88 Correct 1 ms 348 KB Output is correct
89 Correct 667 ms 250712 KB Output is correct
90 Correct 512 ms 216804 KB Output is correct
91 Correct 396 ms 178004 KB Output is correct