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답안 #812489

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
812489 2023-08-07T08:56:38 Z _martynas 메기 농장 (IOI22_fish) C++17
100 / 100
 795 ms 93652 KB 
#include "fish.h"

#include <bits/stdc++.h>

using namespace std;

#define pb push_back

using ll = long long;
using pii = pair<int, int>;

const ll inf = 1e16;

int n, m;
map<pii, ll> F;

// ll max_weights_y0(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
//     n = N, m = M;
//     vector<ll> A(n);
//     for(int i = 0; i < m; i++) A[X[i]] = W[i];
//     auto get = [&](int i) {
//         return (i < 0 || i >= n ? 0 : A[i]);
//     };
//     ll mx1 = 0, mx2 = 0, mx3 = 0;
//     for(int i = 0; i < n; i++) {
//         ll nmx1, nmx2, nmx3;
//         nmx3 = max(mx3, mx2);
//         nmx2 = max(mx2, mx1);
//         nmx1 = max(mx1, mx3+get(i-1)+get(i+1));
//         nmx1 = max(nmx1, mx2+get(i+1));
//         nmx1 = max(nmx1, mx1-get(i)+get(i+1));
//         mx1 = nmx1, mx2 = nmx2, mx3 = nmx3;
//     }
//     return max({mx1, mx2, mx3});
// }

ll max_weights(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
    //return max_weights_y0(N, M, X, Y, W);
    n = N, m = M;
    vector<vector<int>> pos(n);
    for(int i = 0; i < m; i++) {
        if(X[i] > 0) pos[X[i]-1].pb(Y[i]);
        if(X[i]+1 < n) pos[X[i]+1].pb(Y[i]);
        F[{X[i], Y[i]}] = W[i];
    }
    for(int i = 0; i < n; i++) {
        if(pos[i].empty()) continue;
        sort(pos[i].begin(), pos[i].end());
        pos[i].erase(unique(pos[i].begin(), pos[i].end()), pos[i].end());
    }
    // printf("interesting positions:\n");
    // for(int i = 0; i < n; i++) {
    //     printf("i = %d\n", i);
    //     for(int j : pos[i]) {
    //         printf("(%d, %d) ", i, j);
    //     }
    //     printf("\n");
    // }
    vector<vector<ll>> dp[2]; // 0-inc, 1-dec
    dp[0] = dp[1] = vector<vector<ll>>(n);
    for(int k = 0; k < 2; k++) {
        for(int i = 0; i < n; i++) {
            dp[k][i] = vector<ll>(pos[i].size(), -inf);
        }
    }
    ll mx_with = 0, mx_wo = 0; // 'with' as in with the fishes on the right
    for(int i = 0; i < n; i++) {
        ll sum;
        mx_wo = max(mx_wo, mx_with);
        if(i > 1) for(int j = 0; j < (int)pos[i-2].size(); j++) {
            mx_wo = max(mx_wo, dp[0][i-2][j]);
            mx_wo = max(mx_wo, dp[1][i-2][j]);
        }
        sum = 0;
        if(i > 1) for(int j = 0; j < (int)pos[i-2].size(); j++) {
            sum += F[pii{i-1, pos[i-2][j]}];
            mx_with = max(mx_with, dp[0][i-2][j]+sum);
            mx_with = max(mx_with, dp[1][i-2][j]+sum);
        }
        // try starting a new seq
        sum = 0;
        for(int j = 0; j < (int)pos[i].size(); j++) {
            sum += F[pii{i-1, pos[i][j]}];
            dp[0][i][j] = max(dp[0][i][j], mx_wo+sum);
            dp[0][i][j] = max(dp[0][i][j], mx_with);
        }
        // inc to inc
        ll mx = -inf;
        if(i > 0) for(int j = 0, k = 0; j < (int)pos[i].size(); j++) {
            while(k < (int)pos[i-1].size() && pos[i-1][k] < pos[i][j]) {
                mx = max(mx, dp[0][i-1][k]);
                k++;
            }
            mx += F[pii{i-1, pos[i][j]}];
            dp[0][i][j] = max(dp[0][i][j], mx);
        }
        mx = -inf;
        // inc/dec to dec
        if(i > 0) for(int j = (int)pos[i].size()-1, k = (int)pos[i-1].size()-1;
            j >= 0; j--) {
            ll delayed = 0;
            while(k >= 0 && pos[i-1][k] >= pos[i][j]) {
                mx = max(mx, dp[0][i-1][k]);
                mx = max(mx, dp[1][i-1][k]);
                if(pos[i-1][k] != pos[i][j]) mx += F[pii{i, pos[i-1][k]}];
                else delayed += F[pii{i, pos[i-1][k]}];
                k--;
            }
            dp[1][i][j] = max(dp[1][i][j], mx);
            mx += delayed;
        }
    }
    ll ans = 0;
    for(int i = 0; i < n; i++) {
        ll sum = 0;
        for(int j = 0; j < (int)pos[i].size(); j++) {
            sum += F[pii{i+1, pos[i][j]}];
            // printf("sum = %lld\n", sum);
            // printf("dp[%d][%d][%d] = %lld\n", 0, i, j, dp[0][i][j]);
            // printf("dp[%d][%d][%d] = %lld\n", 1, i, j, dp[1][i][j]);
            ans = max(ans, dp[0][i][j]+sum);
            ans = max(ans, dp[1][i][j]+sum);
        }
    }
    //cout << ans << "!\n";
    return ans;
}

// int main() {
//     int N, M;
//     vector<int> X, Y, W;
//     cin >> N >> M;
//     for(int i = 0; i < M; i++) {
//         int x, y, w; cin >> x >> y >> w;
//         X.pb(x), Y.pb(y), W.pb(w);
//     }
//     ll ans1 = max_weights(N, M, X, Y, W);
//     ll ans2 = max_weights_y0(N, M, X, Y, W);
//     cerr << ans1 << " " << ans2 << "\n";
//     assert(ans1 == ans2);
// }

Subtask #1
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 83 ms 20192 KB Output is correct
2 Correct 110 ms 24100 KB Output is correct
3 Correct 4 ms 7252 KB Output is correct
4 Correct 4 ms 7252 KB Output is correct
5 Correct 621 ms 82440 KB Output is correct
6 Correct 614 ms 86476 KB Output is correct

Subtask #2
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 243 ms 40456 KB Output is correct
3 Correct 319 ms 49216 KB Output is correct
4 Correct 90 ms 20172 KB Output is correct
5 Correct 120 ms 24124 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 300 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 4 ms 7252 KB Output is correct
11 Correct 4 ms 7252 KB Output is correct
12 Correct 128 ms 26956 KB Output is correct
13 Correct 174 ms 32372 KB Output is correct
14 Correct 113 ms 23616 KB Output is correct
15 Correct 129 ms 26200 KB Output is correct
16 Correct 108 ms 23560 KB Output is correct
17 Correct 123 ms 26184 KB Output is correct

Subtask #3
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 4 ms 7252 KB Output is correct
3 Correct 64 ms 17024 KB Output is correct
4 Correct 43 ms 15404 KB Output is correct
5 Correct 135 ms 26972 KB Output is correct
6 Correct 145 ms 26256 KB Output is correct
7 Correct 143 ms 26920 KB Output is correct
8 Correct 128 ms 26916 KB Output is correct

Subtask #4
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 596 KB Output is correct
11 Correct 1 ms 440 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 468 KB Output is correct

Subtask #5
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 596 KB Output is correct
11 Correct 1 ms 440 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 296 KB Output is correct
16 Correct 2 ms 596 KB Output is correct
17 Correct 46 ms 7508 KB Output is correct
18 Correct 42 ms 6904 KB Output is correct
19 Correct 44 ms 7500 KB Output is correct
20 Correct 39 ms 6388 KB Output is correct
21 Correct 40 ms 6296 KB Output is correct
22 Correct 83 ms 12236 KB Output is correct
23 Correct 13 ms 2600 KB Output is correct
24 Correct 40 ms 6520 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 11 ms 2200 KB Output is correct

Subtask #6
17.0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 596 KB Output is correct
11 Correct 1 ms 440 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 296 KB Output is correct
16 Correct 2 ms 596 KB Output is correct
17 Correct 46 ms 7508 KB Output is correct
18 Correct 42 ms 6904 KB Output is correct
19 Correct 44 ms 7500 KB Output is correct
20 Correct 39 ms 6388 KB Output is correct
21 Correct 40 ms 6296 KB Output is correct
22 Correct 83 ms 12236 KB Output is correct
23 Correct 13 ms 2600 KB Output is correct
24 Correct 40 ms 6520 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 11 ms 2200 KB Output is correct
27 Correct 4 ms 1364 KB Output is correct
28 Correct 262 ms 33260 KB Output is correct
29 Correct 479 ms 61284 KB Output is correct
30 Correct 570 ms 79256 KB Output is correct
31 Correct 570 ms 78204 KB Output is correct
32 Correct 372 ms 40416 KB Output is correct
33 Correct 566 ms 80224 KB Output is correct
34 Correct 571 ms 80212 KB Output is correct
35 Correct 172 ms 25932 KB Output is correct
36 Correct 568 ms 71260 KB Output is correct

Subtask #7
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 4 ms 7252 KB Output is correct
3 Correct 64 ms 17024 KB Output is correct
4 Correct 43 ms 15404 KB Output is correct
5 Correct 135 ms 26972 KB Output is correct
6 Correct 145 ms 26256 KB Output is correct
7 Correct 143 ms 26920 KB Output is correct
8 Correct 128 ms 26916 KB Output is correct
9 Correct 174 ms 39116 KB Output is correct
10 Correct 102 ms 18860 KB Output is correct
11 Correct 359 ms 37428 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 292 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 4 ms 7336 KB Output is correct
19 Correct 4 ms 7252 KB Output is correct
20 Correct 4 ms 7252 KB Output is correct
21 Correct 4 ms 7252 KB Output is correct
22 Correct 219 ms 39228 KB Output is correct
23 Correct 410 ms 54632 KB Output is correct
24 Correct 484 ms 62252 KB Output is correct

Subtask #8
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 83 ms 20192 KB Output is correct
2 Correct 110 ms 24100 KB Output is correct
3 Correct 4 ms 7252 KB Output is correct
4 Correct 4 ms 7252 KB Output is correct
5 Correct 621 ms 82440 KB Output is correct
6 Correct 614 ms 86476 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 243 ms 40456 KB Output is correct
9 Correct 319 ms 49216 KB Output is correct
10 Correct 90 ms 20172 KB Output is correct
11 Correct 120 ms 24124 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 300 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 4 ms 7252 KB Output is correct
17 Correct 4 ms 7252 KB Output is correct
18 Correct 128 ms 26956 KB Output is correct
19 Correct 174 ms 32372 KB Output is correct
20 Correct 113 ms 23616 KB Output is correct
21 Correct 129 ms 26200 KB Output is correct
22 Correct 108 ms 23560 KB Output is correct
23 Correct 123 ms 26184 KB Output is correct
24 Correct 4 ms 7252 KB Output is correct
25 Correct 4 ms 7252 KB Output is correct
26 Correct 64 ms 17024 KB Output is correct
27 Correct 43 ms 15404 KB Output is correct
28 Correct 135 ms 26972 KB Output is correct
29 Correct 145 ms 26256 KB Output is correct
30 Correct 143 ms 26920 KB Output is correct
31 Correct 128 ms 26916 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 2 ms 596 KB Output is correct
42 Correct 1 ms 440 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 296 KB Output is correct
47 Correct 2 ms 596 KB Output is correct
48 Correct 46 ms 7508 KB Output is correct
49 Correct 42 ms 6904 KB Output is correct
50 Correct 44 ms 7500 KB Output is correct
51 Correct 39 ms 6388 KB Output is correct
52 Correct 40 ms 6296 KB Output is correct
53 Correct 83 ms 12236 KB Output is correct
54 Correct 13 ms 2600 KB Output is correct
55 Correct 40 ms 6520 KB Output is correct
56 Correct 2 ms 468 KB Output is correct
57 Correct 11 ms 2200 KB Output is correct
58 Correct 4 ms 1364 KB Output is correct
59 Correct 262 ms 33260 KB Output is correct
60 Correct 479 ms 61284 KB Output is correct
61 Correct 570 ms 79256 KB Output is correct
62 Correct 570 ms 78204 KB Output is correct
63 Correct 372 ms 40416 KB Output is correct
64 Correct 566 ms 80224 KB Output is correct
65 Correct 571 ms 80212 KB Output is correct
66 Correct 172 ms 25932 KB Output is correct
67 Correct 568 ms 71260 KB Output is correct
68 Correct 174 ms 39116 KB Output is correct
69 Correct 102 ms 18860 KB Output is correct
70 Correct 359 ms 37428 KB Output is correct
71 Correct 1 ms 212 KB Output is correct
72 Correct 1 ms 292 KB Output is correct
73 Correct 1 ms 212 KB Output is correct
74 Correct 0 ms 212 KB Output is correct
75 Correct 1 ms 212 KB Output is correct
76 Correct 1 ms 212 KB Output is correct
77 Correct 4 ms 7336 KB Output is correct
78 Correct 4 ms 7252 KB Output is correct
79 Correct 4 ms 7252 KB Output is correct
80 Correct 4 ms 7252 KB Output is correct
81 Correct 219 ms 39228 KB Output is correct
82 Correct 410 ms 54632 KB Output is correct
83 Correct 484 ms 62252 KB Output is correct
84 Correct 632 ms 82852 KB Output is correct
85 Correct 575 ms 81848 KB Output is correct
86 Correct 694 ms 92104 KB Output is correct
87 Correct 692 ms 93600 KB Output is correct
88 Correct 1 ms 212 KB Output is correct
89 Correct 795 ms 93652 KB Output is correct
90 Correct 603 ms 75152 KB Output is correct
91 Correct 538 ms 56188 KB Output is correct