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Submission #1042330

# Submission time Handle Problem Language Result Execution time Memory
1042330 2024-08-02T21:20:34 Z VMaksimoski008 Catfish Farm (IOI22_fish) C++17
100 / 100
 693 ms 227120 KB 
#include "fish.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

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);
    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);
        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 199 ms 109252 KB Output is correct
2 Correct 242 ms 124352 KB Output is correct
3 Correct 121 ms 93824 KB Output is correct
4 Correct 123 ms 93824 KB Output is correct
5 Correct 693 ms 227120 KB Output is correct
6 Correct 628 ms 226208 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 309 ms 125156 KB Output is correct
3 Correct 360 ms 141556 KB Output is correct
4 Correct 208 ms 109256 KB Output is correct
5 Correct 240 ms 124360 KB Output is correct
6 Correct 0 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 117 ms 93780 KB Output is correct
11 Correct 116 ms 93964 KB Output is correct
12 Correct 241 ms 120504 KB Output is correct
13 Correct 290 ms 138184 KB Output is correct
14 Correct 221 ms 115012 KB Output is correct
15 Correct 232 ms 116680 KB Output is correct
16 Correct 222 ms 114804 KB Output is correct
17 Correct 253 ms 127552 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 117 ms 93716 KB Output is correct
2 Correct 115 ms 93860 KB Output is correct
3 Correct 131 ms 92244 KB Output is correct
4 Correct 146 ms 99664 KB Output is correct
5 Correct 165 ms 107088 KB Output is correct
6 Correct 157 ms 107096 KB Output is correct
7 Correct 160 ms 107064 KB Output is correct
8 Correct 154 ms 107156 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 348 KB Output is correct
6 Correct 0 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 604 KB Output is correct
10 Correct 1 ms 968 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 856 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 348 KB Output is correct
6 Correct 0 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 604 KB Output is correct
10 Correct 1 ms 968 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 856 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 2 ms 860 KB Output is correct
17 Correct 34 ms 10644 KB Output is correct
18 Correct 30 ms 9420 KB Output is correct
19 Correct 31 ms 9672 KB Output is correct
20 Correct 26 ms 8560 KB Output is correct
21 Correct 28 ms 8540 KB Output is correct
22 Correct 55 ms 16440 KB Output is correct
23 Correct 10 ms 4188 KB Output is correct
24 Correct 31 ms 10424 KB Output is correct
25 Correct 2 ms 860 KB Output is correct
26 Correct 10 ms 3672 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 348 KB Output is correct
6 Correct 0 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 604 KB Output is correct
10 Correct 1 ms 968 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 856 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 2 ms 860 KB Output is correct
17 Correct 34 ms 10644 KB Output is correct
18 Correct 30 ms 9420 KB Output is correct
19 Correct 31 ms 9672 KB Output is correct
20 Correct 26 ms 8560 KB Output is correct
21 Correct 28 ms 8540 KB Output is correct
22 Correct 55 ms 16440 KB Output is correct
23 Correct 10 ms 4188 KB Output is correct
24 Correct 31 ms 10424 KB Output is correct
25 Correct 2 ms 860 KB Output is correct
26 Correct 10 ms 3672 KB Output is correct
27 Correct 4 ms 4188 KB Output is correct
28 Correct 204 ms 46572 KB Output is correct
29 Correct 370 ms 81016 KB Output is correct
30 Correct 468 ms 131960 KB Output is correct
31 Correct 474 ms 130896 KB Output is correct
32 Correct 226 ms 54356 KB Output is correct
33 Correct 472 ms 134740 KB Output is correct
34 Correct 474 ms 134772 KB Output is correct
35 Correct 128 ms 42380 KB Output is correct
36 Correct 448 ms 115800 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 117 ms 93716 KB Output is correct
2 Correct 115 ms 93860 KB Output is correct
3 Correct 131 ms 92244 KB Output is correct
4 Correct 146 ms 99664 KB Output is correct
5 Correct 165 ms 107088 KB Output is correct
6 Correct 157 ms 107096 KB Output is correct
7 Correct 160 ms 107064 KB Output is correct
8 Correct 154 ms 107156 KB Output is correct
9 Correct 236 ms 133712 KB Output is correct
10 Correct 112 ms 63824 KB Output is correct
11 Correct 242 ms 127204 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 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 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 114 ms 93780 KB Output is correct
19 Correct 119 ms 93780 KB Output is correct
20 Correct 125 ms 93992 KB Output is correct
21 Correct 115 ms 93788 KB Output is correct
22 Correct 305 ms 135968 KB Output is correct
23 Correct 383 ms 151124 KB Output is correct
24 Correct 386 ms 153940 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 199 ms 109252 KB Output is correct
2 Correct 242 ms 124352 KB Output is correct
3 Correct 121 ms 93824 KB Output is correct
4 Correct 123 ms 93824 KB Output is correct
5 Correct 693 ms 227120 KB Output is correct
6 Correct 628 ms 226208 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 309 ms 125156 KB Output is correct
9 Correct 360 ms 141556 KB Output is correct
10 Correct 208 ms 109256 KB Output is correct
11 Correct 240 ms 124360 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 348 KB Output is correct
16 Correct 117 ms 93780 KB Output is correct
17 Correct 116 ms 93964 KB Output is correct
18 Correct 241 ms 120504 KB Output is correct
19 Correct 290 ms 138184 KB Output is correct
20 Correct 221 ms 115012 KB Output is correct
21 Correct 232 ms 116680 KB Output is correct
22 Correct 222 ms 114804 KB Output is correct
23 Correct 253 ms 127552 KB Output is correct
24 Correct 117 ms 93716 KB Output is correct
25 Correct 115 ms 93860 KB Output is correct
26 Correct 131 ms 92244 KB Output is correct
27 Correct 146 ms 99664 KB Output is correct
28 Correct 165 ms 107088 KB Output is correct
29 Correct 157 ms 107096 KB Output is correct
30 Correct 160 ms 107064 KB Output is correct
31 Correct 154 ms 107156 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 0 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 0 ms 604 KB Output is correct
41 Correct 1 ms 968 KB Output is correct
42 Correct 1 ms 604 KB Output is correct
43 Correct 1 ms 860 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 1 ms 856 KB Output is correct
46 Correct 1 ms 604 KB Output is correct
47 Correct 2 ms 860 KB Output is correct
48 Correct 34 ms 10644 KB Output is correct
49 Correct 30 ms 9420 KB Output is correct
50 Correct 31 ms 9672 KB Output is correct
51 Correct 26 ms 8560 KB Output is correct
52 Correct 28 ms 8540 KB Output is correct
53 Correct 55 ms 16440 KB Output is correct
54 Correct 10 ms 4188 KB Output is correct
55 Correct 31 ms 10424 KB Output is correct
56 Correct 2 ms 860 KB Output is correct
57 Correct 10 ms 3672 KB Output is correct
58 Correct 4 ms 4188 KB Output is correct
59 Correct 204 ms 46572 KB Output is correct
60 Correct 370 ms 81016 KB Output is correct
61 Correct 468 ms 131960 KB Output is correct
62 Correct 474 ms 130896 KB Output is correct
63 Correct 226 ms 54356 KB Output is correct
64 Correct 472 ms 134740 KB Output is correct
65 Correct 474 ms 134772 KB Output is correct
66 Correct 128 ms 42380 KB Output is correct
67 Correct 448 ms 115800 KB Output is correct
68 Correct 236 ms 133712 KB Output is correct
69 Correct 112 ms 63824 KB Output is correct
70 Correct 242 ms 127204 KB Output is correct
71 Correct 0 ms 344 KB Output is correct
72 Correct 1 ms 348 KB Output is correct
73 Correct 0 ms 348 KB Output is correct
74 Correct 0 ms 348 KB Output is correct
75 Correct 0 ms 348 KB Output is correct
76 Correct 0 ms 348 KB Output is correct
77 Correct 114 ms 93780 KB Output is correct
78 Correct 119 ms 93780 KB Output is correct
79 Correct 125 ms 93992 KB Output is correct
80 Correct 115 ms 93788 KB Output is correct
81 Correct 305 ms 135968 KB Output is correct
82 Correct 383 ms 151124 KB Output is correct
83 Correct 386 ms 153940 KB Output is correct
84 Correct 646 ms 202076 KB Output is correct
85 Correct 677 ms 210376 KB Output is correct
86 Correct 618 ms 215744 KB Output is correct
87 Correct 661 ms 226132 KB Output is correct
88 Correct 0 ms 344 KB Output is correct
89 Correct 644 ms 226132 KB Output is correct
90 Correct 512 ms 194660 KB Output is correct
91 Correct 372 ms 157820 KB Output is correct