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Submission #629282

# Submission time Handle Problem Language Result Execution time Memory
629282 2022-08-14T10:34:03 Z qwerasdfzxcl Catfish Farm (IOI22_fish) C++17
100 / 100
 982 ms 131348 KB 
#include "fish.h"
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
const ll INF = 4e18;
vector<int> H[100100], A[100100];
vector<ll> dp[2][100100], S[100100], prf[2][100100], suf[2][100100];
int n, sz[100100];

ll cost(int i, int s, int e){
    if (s>e || i==0) return 0;
    int j1 = upper_bound(H[i].begin(), H[i].end(), s-1) - H[i].begin() - 1;
    int j2 = upper_bound(H[i].begin(), H[i].end(), e) - H[i].begin() - 1;
    return S[i][j2] - S[i][j1];
}

long long max_weights(int N, int M, std::vector<int> X, std::vector<int> Y,
                      std::vector<int> W) {
    n = N;
    for (int i=0;i<=N;i++) {H[i].push_back(0); H[i].push_back(N);}
    for (int i=0;i<M;i++){
        ++X[i], ++Y[i];
        H[X[i]].push_back(Y[i]);
        H[X[i]].push_back(Y[i]-1);
        if (X[i]>1) H[X[i]-1].push_back(Y[i]);
        if (X[i]<N) H[X[i]+1].push_back(Y[i]);
    }


    for (int i=0;i<=N;i++){
        sort(H[i].begin(), H[i].end());
        H[i].erase(unique(H[i].begin(), H[i].end()), H[i].end());
        sz[i] = H[i].size();

        A[i].resize(sz[i], 0);
        S[i].resize(sz[i], 0);
        dp[0][i].resize(sz[i], 0);
        dp[1][i].resize(sz[i], 0);
        prf[0][i].resize(sz[i]);
        prf[1][i].resize(sz[i]);
        suf[0][i].resize(sz[i]);
        suf[1][i].resize(sz[i]);
    }

    for (int i=0;i<M;i++){
        int idx = lower_bound(H[X[i]].begin(), H[X[i]].end(), Y[i]) - H[X[i]].begin();
        assert(idx < sz[X[i]]);
        A[X[i]][idx] = W[i];
    }


    for (int i=1;i<=n;i++){
        for (int j=1;j<sz[i];j++) S[i][j] = S[i][j-1] + A[i][j];
    }


    dp[0][0][0] = 0;
    dp[1][0][0] = 0;
    assert(sz[0]==2);
    dp[0][0][1] = -INF;
    dp[1][0][1] = -INF;

    for (int i=1;i<=n;i++){
        --i;
        for (int j=0;j<sz[i];j++){
            prf[0][i][j] = dp[0][i][j] + cost(i, H[i][j]+1, n);
            prf[1][i][j] = max(dp[0][i][j], dp[1][i][j]);

            if (j==0) continue;
            prf[0][i][j] = max(prf[0][i][j], prf[0][i][j-1]);
            prf[1][i][j] = max(prf[1][i][j], prf[1][i][j-1]);

        }
        for (int j=sz[i]-1;j>=0;j--){
            suf[0][i][j] = max(dp[0][i][j], dp[1][i][j]) + cost(i+1, 1, H[i][j]);
            suf[1][i][j] = dp[1][i][j] + cost(i+1, 1, H[i][j]);

            if (j==sz[i]-1) continue;
            suf[0][i][j] = max(suf[0][i][j], suf[0][i][j+1]);
            suf[1][i][j] = max(suf[1][i][j], suf[1][i][j+1]);
        }
        ++i;

        for (int j=0;j<sz[i];j++){
            ///0 -> 0
            int idx00 = upper_bound(H[i-1].begin(), H[i-1].end(), H[i][j]) - H[i-1].begin() - 1;
            dp[0][i][j] = max(dp[0][i][j], prf[0][i-1][idx00] - cost(i-1, H[i][j]+1, n));
            /*for (int k=0;k<sz[i-1] && H[i-1][k]<=H[i][j];k++){
                dp[0][i][j] = max(dp[0][i][j], dp[0][i-1][k] + cost(i-1, H[i-1][k]+1, H[i][j]));
            }*/

            ///1 -> 0
            if (i>=2){
                int idx10 = upper_bound(H[i-2].begin(), H[i-2].end(), H[i][j]) - H[i-2].begin() - 1;
                dp[0][i][j] = max(dp[0][i][j], prf[1][i-2][idx10] + cost(i-1, 1, H[i][j]));
                if (idx10+1 < sz[i-2]) dp[0][i][j] = max(dp[0][i][j], suf[0][i-2][idx10+1]);

                /*for (int k=0;k<sz[i-2];k++){
                    dp[0][i][j] = max(dp[0][i][j], max(dp[0][i-2][k], dp[1][i-2][k]) + cost(i-1, 1, max(H[i-2][k], H[i][j])));
                }*/
            }

            ///0 -> 1
            dp[1][i][j] = max(dp[1][i][j], dp[0][i-1][sz[i-1]-1] + cost(i, H[i][j]+1, n));

            ///1 -> 1
            int idx11 = lower_bound(H[i-1].begin(), H[i-1].end(), H[i][j]) - H[i-1].begin();
            dp[1][i][j] = max(dp[1][i][j], suf[1][i-1][idx11] - cost(i, 1, H[i][j]));
            //for (int k=0;k<sz[i-1];k++) if (H[i-1][k] >= H[i][j]) dp[1][i][j] = max(dp[1][i][j], dp[1][i-1][k] + cost(i, H[i][j]+1, H[i-1][k]));
        }
    }

    //printf(" %lld %lld %lld\n", H[1][0], H[1][1], H[1][2]);
    //printf(" %lld -> %lld(%d)\n", cost(1, 1, 1), dp[0][2][1], H[2][1]);

    return max(*max_element(dp[0][n].begin(), dp[0][n].end()), *max_element(dp[1][n].begin(), dp[1][n].end()));
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 204 ms 60004 KB Output is correct
2 Correct 245 ms 65252 KB Output is correct
3 Correct 87 ms 49996 KB Output is correct
4 Correct 79 ms 49996 KB Output is correct
5 Correct 786 ms 116852 KB Output is correct
6 Correct 784 ms 131348 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 21460 KB Output is correct
2 Correct 334 ms 68664 KB Output is correct
3 Correct 379 ms 75104 KB Output is correct
4 Correct 207 ms 60076 KB Output is correct
5 Correct 236 ms 65336 KB Output is correct
6 Correct 12 ms 21520 KB Output is correct
7 Correct 12 ms 21460 KB Output is correct
8 Correct 12 ms 21360 KB Output is correct
9 Correct 11 ms 21440 KB Output is correct
10 Correct 89 ms 50008 KB Output is correct
11 Correct 80 ms 49996 KB Output is correct
12 Correct 270 ms 65164 KB Output is correct
13 Correct 345 ms 71632 KB Output is correct
14 Correct 240 ms 62524 KB Output is correct
15 Correct 244 ms 61892 KB Output is correct
16 Correct 255 ms 62656 KB Output is correct
17 Correct 281 ms 67136 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 89 ms 49992 KB Output is correct
2 Correct 80 ms 49996 KB Output is correct
3 Correct 120 ms 49496 KB Output is correct
4 Correct 123 ms 51472 KB Output is correct
5 Correct 189 ms 54460 KB Output is correct
6 Correct 178 ms 54468 KB Output is correct
7 Correct 201 ms 54456 KB Output is correct
8 Correct 199 ms 54360 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 21460 KB Output is correct
2 Correct 12 ms 21472 KB Output is correct
3 Correct 11 ms 21344 KB Output is correct
4 Correct 15 ms 21388 KB Output is correct
5 Correct 14 ms 21336 KB Output is correct
6 Correct 14 ms 21464 KB Output is correct
7 Correct 13 ms 21408 KB Output is correct
8 Correct 13 ms 21436 KB Output is correct
9 Correct 12 ms 21572 KB Output is correct
10 Correct 14 ms 21812 KB Output is correct
11 Correct 12 ms 21588 KB Output is correct
12 Correct 16 ms 21708 KB Output is correct
13 Correct 12 ms 21504 KB Output is correct
14 Correct 15 ms 21660 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 21460 KB Output is correct
2 Correct 12 ms 21472 KB Output is correct
3 Correct 11 ms 21344 KB Output is correct
4 Correct 15 ms 21388 KB Output is correct
5 Correct 14 ms 21336 KB Output is correct
6 Correct 14 ms 21464 KB Output is correct
7 Correct 13 ms 21408 KB Output is correct
8 Correct 13 ms 21436 KB Output is correct
9 Correct 12 ms 21572 KB Output is correct
10 Correct 14 ms 21812 KB Output is correct
11 Correct 12 ms 21588 KB Output is correct
12 Correct 16 ms 21708 KB Output is correct
13 Correct 12 ms 21504 KB Output is correct
14 Correct 15 ms 21660 KB Output is correct
15 Correct 15 ms 21588 KB Output is correct
16 Correct 12 ms 21716 KB Output is correct
17 Correct 66 ms 27008 KB Output is correct
18 Correct 61 ms 26916 KB Output is correct
19 Correct 62 ms 26988 KB Output is correct
20 Correct 60 ms 26444 KB Output is correct
21 Correct 63 ms 26380 KB Output is correct
22 Correct 107 ms 31284 KB Output is correct
23 Correct 32 ms 23764 KB Output is correct
24 Correct 65 ms 27052 KB Output is correct
25 Correct 16 ms 21724 KB Output is correct
26 Correct 30 ms 23252 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 21460 KB Output is correct
2 Correct 12 ms 21472 KB Output is correct
3 Correct 11 ms 21344 KB Output is correct
4 Correct 15 ms 21388 KB Output is correct
5 Correct 14 ms 21336 KB Output is correct
6 Correct 14 ms 21464 KB Output is correct
7 Correct 13 ms 21408 KB Output is correct
8 Correct 13 ms 21436 KB Output is correct
9 Correct 12 ms 21572 KB Output is correct
10 Correct 14 ms 21812 KB Output is correct
11 Correct 12 ms 21588 KB Output is correct
12 Correct 16 ms 21708 KB Output is correct
13 Correct 12 ms 21504 KB Output is correct
14 Correct 15 ms 21660 KB Output is correct
15 Correct 15 ms 21588 KB Output is correct
16 Correct 12 ms 21716 KB Output is correct
17 Correct 66 ms 27008 KB Output is correct
18 Correct 61 ms 26916 KB Output is correct
19 Correct 62 ms 26988 KB Output is correct
20 Correct 60 ms 26444 KB Output is correct
21 Correct 63 ms 26380 KB Output is correct
22 Correct 107 ms 31284 KB Output is correct
23 Correct 32 ms 23764 KB Output is correct
24 Correct 65 ms 27052 KB Output is correct
25 Correct 16 ms 21724 KB Output is correct
26 Correct 30 ms 23252 KB Output is correct
27 Correct 17 ms 22740 KB Output is correct
28 Correct 282 ms 47964 KB Output is correct
29 Correct 476 ms 64520 KB Output is correct
30 Correct 711 ms 99968 KB Output is correct
31 Correct 728 ms 99308 KB Output is correct
32 Correct 340 ms 54044 KB Output is correct
33 Correct 728 ms 102628 KB Output is correct
34 Correct 721 ms 102572 KB Output is correct
35 Correct 208 ms 44976 KB Output is correct
36 Correct 672 ms 88972 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 89 ms 49992 KB Output is correct
2 Correct 80 ms 49996 KB Output is correct
3 Correct 120 ms 49496 KB Output is correct
4 Correct 123 ms 51472 KB Output is correct
5 Correct 189 ms 54460 KB Output is correct
6 Correct 178 ms 54468 KB Output is correct
7 Correct 201 ms 54456 KB Output is correct
8 Correct 199 ms 54360 KB Output is correct
9 Correct 203 ms 65424 KB Output is correct
10 Correct 144 ms 46092 KB Output is correct
11 Correct 316 ms 70940 KB Output is correct
12 Correct 13 ms 21436 KB Output is correct
13 Correct 13 ms 21392 KB Output is correct
14 Correct 12 ms 21344 KB Output is correct
15 Correct 13 ms 21376 KB Output is correct
16 Correct 13 ms 21460 KB Output is correct
17 Correct 13 ms 21460 KB Output is correct
18 Correct 98 ms 50076 KB Output is correct
19 Correct 111 ms 49952 KB Output is correct
20 Correct 112 ms 50008 KB Output is correct
21 Correct 86 ms 49992 KB Output is correct
22 Correct 327 ms 74344 KB Output is correct
23 Correct 406 ms 80212 KB Output is correct
24 Correct 432 ms 81260 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 204 ms 60004 KB Output is correct
2 Correct 245 ms 65252 KB Output is correct
3 Correct 87 ms 49996 KB Output is correct
4 Correct 79 ms 49996 KB Output is correct
5 Correct 786 ms 116852 KB Output is correct
6 Correct 784 ms 131348 KB Output is correct
7 Correct 11 ms 21460 KB Output is correct
8 Correct 334 ms 68664 KB Output is correct
9 Correct 379 ms 75104 KB Output is correct
10 Correct 207 ms 60076 KB Output is correct
11 Correct 236 ms 65336 KB Output is correct
12 Correct 12 ms 21520 KB Output is correct
13 Correct 12 ms 21460 KB Output is correct
14 Correct 12 ms 21360 KB Output is correct
15 Correct 11 ms 21440 KB Output is correct
16 Correct 89 ms 50008 KB Output is correct
17 Correct 80 ms 49996 KB Output is correct
18 Correct 270 ms 65164 KB Output is correct
19 Correct 345 ms 71632 KB Output is correct
20 Correct 240 ms 62524 KB Output is correct
21 Correct 244 ms 61892 KB Output is correct
22 Correct 255 ms 62656 KB Output is correct
23 Correct 281 ms 67136 KB Output is correct
24 Correct 89 ms 49992 KB Output is correct
25 Correct 80 ms 49996 KB Output is correct
26 Correct 120 ms 49496 KB Output is correct
27 Correct 123 ms 51472 KB Output is correct
28 Correct 189 ms 54460 KB Output is correct
29 Correct 178 ms 54468 KB Output is correct
30 Correct 201 ms 54456 KB Output is correct
31 Correct 199 ms 54360 KB Output is correct
32 Correct 12 ms 21460 KB Output is correct
33 Correct 12 ms 21472 KB Output is correct
34 Correct 11 ms 21344 KB Output is correct
35 Correct 15 ms 21388 KB Output is correct
36 Correct 14 ms 21336 KB Output is correct
37 Correct 14 ms 21464 KB Output is correct
38 Correct 13 ms 21408 KB Output is correct
39 Correct 13 ms 21436 KB Output is correct
40 Correct 12 ms 21572 KB Output is correct
41 Correct 14 ms 21812 KB Output is correct
42 Correct 12 ms 21588 KB Output is correct
43 Correct 16 ms 21708 KB Output is correct
44 Correct 12 ms 21504 KB Output is correct
45 Correct 15 ms 21660 KB Output is correct
46 Correct 15 ms 21588 KB Output is correct
47 Correct 12 ms 21716 KB Output is correct
48 Correct 66 ms 27008 KB Output is correct
49 Correct 61 ms 26916 KB Output is correct
50 Correct 62 ms 26988 KB Output is correct
51 Correct 60 ms 26444 KB Output is correct
52 Correct 63 ms 26380 KB Output is correct
53 Correct 107 ms 31284 KB Output is correct
54 Correct 32 ms 23764 KB Output is correct
55 Correct 65 ms 27052 KB Output is correct
56 Correct 16 ms 21724 KB Output is correct
57 Correct 30 ms 23252 KB Output is correct
58 Correct 17 ms 22740 KB Output is correct
59 Correct 282 ms 47964 KB Output is correct
60 Correct 476 ms 64520 KB Output is correct
61 Correct 711 ms 99968 KB Output is correct
62 Correct 728 ms 99308 KB Output is correct
63 Correct 340 ms 54044 KB Output is correct
64 Correct 728 ms 102628 KB Output is correct
65 Correct 721 ms 102572 KB Output is correct
66 Correct 208 ms 44976 KB Output is correct
67 Correct 672 ms 88972 KB Output is correct
68 Correct 203 ms 65424 KB Output is correct
69 Correct 144 ms 46092 KB Output is correct
70 Correct 316 ms 70940 KB Output is correct
71 Correct 13 ms 21436 KB Output is correct
72 Correct 13 ms 21392 KB Output is correct
73 Correct 12 ms 21344 KB Output is correct
74 Correct 13 ms 21376 KB Output is correct
75 Correct 13 ms 21460 KB Output is correct
76 Correct 13 ms 21460 KB Output is correct
77 Correct 98 ms 50076 KB Output is correct
78 Correct 111 ms 49952 KB Output is correct
79 Correct 112 ms 50008 KB Output is correct
80 Correct 86 ms 49992 KB Output is correct
81 Correct 327 ms 74344 KB Output is correct
82 Correct 406 ms 80212 KB Output is correct
83 Correct 432 ms 81260 KB Output is correct
84 Correct 982 ms 116016 KB Output is correct
85 Correct 952 ms 118084 KB Output is correct
86 Correct 812 ms 127356 KB Output is correct
87 Correct 834 ms 130612 KB Output is correct
88 Correct 13 ms 21460 KB Output is correct
89 Correct 876 ms 130556 KB Output is correct
90 Correct 611 ms 106812 KB Output is correct
91 Correct 429 ms 86244 KB Output is correct