oj.uz

Submission #771391

# Submission time Handle Problem Language Result Execution time Memory
771391 2023-07-02T23:35:03 Z PurpleCrayon Catfish Farm (IOI22_fish) C++17
100 / 100
 236 ms 29628 KB 
#include "fish.h"
#include <bits/stdc++.h>
using namespace std;

#define sz(v) int(v.size())
#define ar array
typedef long long ll;
const int N = 1e5+10, MOD = 1e9+7;
const ll INF = 1e18+10;

vector<pair<int, int>> fish[N];
vector<int> use[N];

ll max_weights(int n, int m, vector<int> x, vector<int> y, vector<int> w) {
    for (int i = 0; i < m; i++) {
        fish[x[i]].emplace_back(y[i], w[i]);
        if (x[i]) use[x[i]-1].push_back(y[i]);
        if (x[i] < n-1) use[x[i]+1].push_back(y[i]);
    }

    for (int i = 0; i < n; i++) {
        use[i].push_back(-1);
        sort(use[i].begin(), use[i].end());
        sort(fish[i].begin(), fish[i].end());
    }

    vector<ll> prv_l{0}, prv_r{0};
    vector<int> prv_h{-1};
    vector<pair<int, int>> prv_fish;
    for (int c = 0; c < n; c++) {
        int k = sz(use[c]);

        vector<ll> cur_l(k), cur_r(k);
        auto cur_h = use[c];
        auto cur_fish = fish[c];

        vector<ll> ps_prv(sz(prv_fish));
        vector<ll> ps_cur(sz(cur_fish));
        for (int i = 0; i < sz(prv_fish); i++) {
            ps_prv[i] = prv_fish[i].second;
            if (i) ps_prv[i] += ps_prv[i-1];
        }

        for (int i = 0; i < sz(cur_fish); i++) {
            ps_cur[i] = cur_fish[i].second;
            if (i) ps_cur[i] += ps_cur[i-1];
        }

        vector<ll> my_ps_prv(sz(cur_h));
        vector<ll> his_ps_prv(sz(prv_h));
        for (int j = 0; j < sz(cur_h); j++) {
            my_ps_prv[j] = upper_bound(prv_fish.begin(), prv_fish.end(), pair<int, int>{cur_h[j], MOD}) - prv_fish.begin() - 1;
            if (my_ps_prv[j] < 0) my_ps_prv[j] = 0;
            else my_ps_prv[j] = ps_prv[my_ps_prv[j]];
        }

        for (int i = 0; i < sz(prv_h); i++) {
            his_ps_prv[i] = upper_bound(prv_fish.begin(), prv_fish.end(), pair<int, int>{prv_h[i], MOD}) - prv_fish.begin() - 1;
            if (his_ps_prv[i] < 0) his_ps_prv[i] = 0;
            else his_ps_prv[i] = ps_prv[his_ps_prv[i]];
        }

        vector<ll> my_ps_cur(sz(cur_h));
        vector<ll> his_ps_cur(sz(prv_h));
        for (int j = 0; j < sz(cur_h); j++) {
            my_ps_cur[j] = upper_bound(cur_fish.begin(), cur_fish.end(), pair<int, int>{cur_h[j], MOD}) - cur_fish.begin() - 1;
            if (my_ps_cur[j] < 0) my_ps_cur[j] = 0;
            else my_ps_cur[j] = ps_cur[my_ps_cur[j]];
        }

        for (int i = 0; i < sz(prv_h); i++) {
            his_ps_cur[i] = upper_bound(cur_fish.begin(), cur_fish.end(), pair<int, int>{prv_h[i], MOD}) - cur_fish.begin() - 1;
            if (his_ps_cur[i] < 0) his_ps_cur[i] = 0;
            else his_ps_cur[i] = ps_cur[his_ps_cur[i]];
        }

        ll mx_prv_l = *max_element(prv_l.begin(), prv_l.end());
        ll mx_prv_r = *max_element(prv_r.begin(), prv_r.end());
        ll best1 = -INF;
        ll best2 = -INF;
        ll best3 = -INF;
        ll best4 = -INF;
        ll best5 = -INF;
        for (int i = 0; i < sz(prv_h); i++) {
            best1 = max(best1, prv_r[i] - his_ps_prv[i]);
            best2 = max(best2, prv_r[i] - his_ps_prv[i] + his_ps_cur[i]);
            best3 = max(best3, prv_r[i] - his_ps_prv[i]);
            best4 = max(best4, prv_r[i] + his_ps_cur[i]);
            best5 = max(best5, prv_l[i] + his_ps_cur[i]);
        }

        for (int j = 0; j < sz(cur_h); j++) {
            cur_r[j] = max(cur_r[j], mx_prv_l);
            cur_r[j] = max(cur_r[j], mx_prv_r);
            cur_r[j] = max(cur_r[j], my_ps_prv[j] + best1);

            cur_l[j] = max(cur_l[j], best2 + my_ps_prv[j] - my_ps_cur[j]);
            cur_l[j] = max(cur_l[j], best3 + my_ps_prv[j]);
            cur_l[j] = max(cur_l[j], best4 - my_ps_cur[j]);
            cur_l[j] = max(cur_l[j], mx_prv_r);
            cur_l[j] = max(cur_l[j], best5 - my_ps_cur[j]);
            cur_l[j] = max(cur_l[j], mx_prv_l);

            /*
            for (int i = 0; i < sz(prv_h); i++) {
                ll cost_prv = prv_r[i] + max(my_ps_prv[j] - his_ps_prv[i], 0LL);
                cost_prv = max(cost_prv, prv_l[i]);
                cost_prv += max(his_ps_cur[i] - my_ps_cur[j], 0LL);

                cur_l[j] = max(cur_l[j], cost_prv);
            }
            */
        }

        swap(prv_l, cur_l);
        swap(prv_r, cur_r);
        swap(prv_h, cur_h);
        swap(prv_fish, cur_fish);
    }

    ll ans = 0;
    for (ll x : prv_l) ans = max(ans, x);
    for (ll x : prv_r) ans = max(ans, x);
    return ans;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 14780 KB Output is correct
2 Correct 69 ms 16708 KB Output is correct
3 Correct 21 ms 8128 KB Output is correct
4 Correct 21 ms 8132 KB Output is correct
5 Correct 193 ms 24824 KB Output is correct
6 Correct 177 ms 22088 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 119 ms 22272 KB Output is correct
3 Correct 151 ms 29352 KB Output is correct
4 Correct 57 ms 16172 KB Output is correct
5 Correct 69 ms 18408 KB Output is correct
6 Correct 2 ms 4948 KB Output is correct
7 Correct 3 ms 4888 KB Output is correct
8 Correct 2 ms 4932 KB Output is correct
9 Correct 2 ms 4996 KB Output is correct
10 Correct 21 ms 8128 KB Output is correct
11 Correct 21 ms 8020 KB Output is correct
12 Correct 67 ms 16696 KB Output is correct
13 Correct 80 ms 19012 KB Output is correct
14 Correct 64 ms 16488 KB Output is correct
15 Correct 77 ms 17652 KB Output is correct
16 Correct 64 ms 16484 KB Output is correct
17 Correct 74 ms 17644 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 8124 KB Output is correct
2 Correct 21 ms 8020 KB Output is correct
3 Correct 45 ms 10764 KB Output is correct
4 Correct 38 ms 10108 KB Output is correct
5 Correct 83 ms 13520 KB Output is correct
6 Correct 73 ms 13608 KB Output is correct
7 Correct 87 ms 13504 KB Output is correct
8 Correct 75 ms 13604 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4936 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 2 ms 4948 KB Output is correct
7 Correct 2 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 2 ms 4948 KB Output is correct
10 Correct 3 ms 5172 KB Output is correct
11 Correct 3 ms 5020 KB Output is correct
12 Correct 3 ms 5076 KB Output is correct
13 Correct 3 ms 4996 KB Output is correct
14 Correct 3 ms 5048 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4936 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 2 ms 4948 KB Output is correct
7 Correct 2 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 2 ms 4948 KB Output is correct
10 Correct 3 ms 5172 KB Output is correct
11 Correct 3 ms 5020 KB Output is correct
12 Correct 3 ms 5076 KB Output is correct
13 Correct 3 ms 4996 KB Output is correct
14 Correct 3 ms 5048 KB Output is correct
15 Correct 3 ms 4948 KB Output is correct
16 Correct 5 ms 5076 KB Output is correct
17 Correct 30 ms 6996 KB Output is correct
18 Correct 30 ms 7596 KB Output is correct
19 Correct 24 ms 7456 KB Output is correct
20 Correct 24 ms 7380 KB Output is correct
21 Correct 24 ms 7380 KB Output is correct
22 Correct 59 ms 9812 KB Output is correct
23 Correct 10 ms 5476 KB Output is correct
24 Correct 20 ms 6420 KB Output is correct
25 Correct 3 ms 5076 KB Output is correct
26 Correct 7 ms 5452 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4936 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 2 ms 4948 KB Output is correct
7 Correct 2 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 2 ms 4948 KB Output is correct
10 Correct 3 ms 5172 KB Output is correct
11 Correct 3 ms 5020 KB Output is correct
12 Correct 3 ms 5076 KB Output is correct
13 Correct 3 ms 4996 KB Output is correct
14 Correct 3 ms 5048 KB Output is correct
15 Correct 3 ms 4948 KB Output is correct
16 Correct 5 ms 5076 KB Output is correct
17 Correct 30 ms 6996 KB Output is correct
18 Correct 30 ms 7596 KB Output is correct
19 Correct 24 ms 7456 KB Output is correct
20 Correct 24 ms 7380 KB Output is correct
21 Correct 24 ms 7380 KB Output is correct
22 Correct 59 ms 9812 KB Output is correct
23 Correct 10 ms 5476 KB Output is correct
24 Correct 20 ms 6420 KB Output is correct
25 Correct 3 ms 5076 KB Output is correct
26 Correct 7 ms 5452 KB Output is correct
27 Correct 5 ms 5204 KB Output is correct
28 Correct 151 ms 16572 KB Output is correct
29 Correct 198 ms 19916 KB Output is correct
30 Correct 171 ms 24368 KB Output is correct
31 Correct 197 ms 24360 KB Output is correct
32 Correct 211 ms 26912 KB Output is correct
33 Correct 175 ms 24364 KB Output is correct
34 Correct 188 ms 24364 KB Output is correct
35 Correct 64 ms 13020 KB Output is correct
36 Correct 192 ms 26160 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 8124 KB Output is correct
2 Correct 21 ms 8020 KB Output is correct
3 Correct 45 ms 10764 KB Output is correct
4 Correct 38 ms 10108 KB Output is correct
5 Correct 83 ms 13520 KB Output is correct
6 Correct 73 ms 13608 KB Output is correct
7 Correct 87 ms 13504 KB Output is correct
8 Correct 75 ms 13604 KB Output is correct
9 Correct 70 ms 13604 KB Output is correct
10 Correct 69 ms 12128 KB Output is correct
11 Correct 120 ms 19012 KB Output is correct
12 Correct 2 ms 4948 KB Output is correct
13 Correct 2 ms 4948 KB Output is correct
14 Correct 2 ms 4948 KB Output is correct
15 Correct 4 ms 5000 KB Output is correct
16 Correct 5 ms 4948 KB Output is correct
17 Correct 2 ms 4948 KB Output is correct
18 Correct 23 ms 8132 KB Output is correct
19 Correct 26 ms 8020 KB Output is correct
20 Correct 22 ms 8128 KB Output is correct
21 Correct 23 ms 8020 KB Output is correct
22 Correct 104 ms 13024 KB Output is correct
23 Correct 135 ms 19208 KB Output is correct
24 Correct 133 ms 19268 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 14780 KB Output is correct
2 Correct 69 ms 16708 KB Output is correct
3 Correct 21 ms 8128 KB Output is correct
4 Correct 21 ms 8132 KB Output is correct
5 Correct 193 ms 24824 KB Output is correct
6 Correct 177 ms 22088 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 119 ms 22272 KB Output is correct
9 Correct 151 ms 29352 KB Output is correct
10 Correct 57 ms 16172 KB Output is correct
11 Correct 69 ms 18408 KB Output is correct
12 Correct 2 ms 4948 KB Output is correct
13 Correct 3 ms 4888 KB Output is correct
14 Correct 2 ms 4932 KB Output is correct
15 Correct 2 ms 4996 KB Output is correct
16 Correct 21 ms 8128 KB Output is correct
17 Correct 21 ms 8020 KB Output is correct
18 Correct 67 ms 16696 KB Output is correct
19 Correct 80 ms 19012 KB Output is correct
20 Correct 64 ms 16488 KB Output is correct
21 Correct 77 ms 17652 KB Output is correct
22 Correct 64 ms 16484 KB Output is correct
23 Correct 74 ms 17644 KB Output is correct
24 Correct 21 ms 8124 KB Output is correct
25 Correct 21 ms 8020 KB Output is correct
26 Correct 45 ms 10764 KB Output is correct
27 Correct 38 ms 10108 KB Output is correct
28 Correct 83 ms 13520 KB Output is correct
29 Correct 73 ms 13608 KB Output is correct
30 Correct 87 ms 13504 KB Output is correct
31 Correct 75 ms 13604 KB Output is correct
32 Correct 2 ms 4936 KB Output is correct
33 Correct 2 ms 4948 KB Output is correct
34 Correct 2 ms 4948 KB Output is correct
35 Correct 2 ms 4948 KB Output is correct
36 Correct 2 ms 4948 KB Output is correct
37 Correct 2 ms 4948 KB Output is correct
38 Correct 2 ms 4948 KB Output is correct
39 Correct 2 ms 4948 KB Output is correct
40 Correct 2 ms 4948 KB Output is correct
41 Correct 3 ms 5172 KB Output is correct
42 Correct 3 ms 5020 KB Output is correct
43 Correct 3 ms 5076 KB Output is correct
44 Correct 3 ms 4996 KB Output is correct
45 Correct 3 ms 5048 KB Output is correct
46 Correct 3 ms 4948 KB Output is correct
47 Correct 5 ms 5076 KB Output is correct
48 Correct 30 ms 6996 KB Output is correct
49 Correct 30 ms 7596 KB Output is correct
50 Correct 24 ms 7456 KB Output is correct
51 Correct 24 ms 7380 KB Output is correct
52 Correct 24 ms 7380 KB Output is correct
53 Correct 59 ms 9812 KB Output is correct
54 Correct 10 ms 5476 KB Output is correct
55 Correct 20 ms 6420 KB Output is correct
56 Correct 3 ms 5076 KB Output is correct
57 Correct 7 ms 5452 KB Output is correct
58 Correct 5 ms 5204 KB Output is correct
59 Correct 151 ms 16572 KB Output is correct
60 Correct 198 ms 19916 KB Output is correct
61 Correct 171 ms 24368 KB Output is correct
62 Correct 197 ms 24360 KB Output is correct
63 Correct 211 ms 26912 KB Output is correct
64 Correct 175 ms 24364 KB Output is correct
65 Correct 188 ms 24364 KB Output is correct
66 Correct 64 ms 13020 KB Output is correct
67 Correct 192 ms 26160 KB Output is correct
68 Correct 70 ms 13604 KB Output is correct
69 Correct 69 ms 12128 KB Output is correct
70 Correct 120 ms 19012 KB Output is correct
71 Correct 2 ms 4948 KB Output is correct
72 Correct 2 ms 4948 KB Output is correct
73 Correct 2 ms 4948 KB Output is correct
74 Correct 4 ms 5000 KB Output is correct
75 Correct 5 ms 4948 KB Output is correct
76 Correct 2 ms 4948 KB Output is correct
77 Correct 23 ms 8132 KB Output is correct
78 Correct 26 ms 8020 KB Output is correct
79 Correct 22 ms 8128 KB Output is correct
80 Correct 23 ms 8020 KB Output is correct
81 Correct 104 ms 13024 KB Output is correct
82 Correct 135 ms 19208 KB Output is correct
83 Correct 133 ms 19268 KB Output is correct
84 Correct 227 ms 29428 KB Output is correct
85 Correct 236 ms 29628 KB Output is correct
86 Correct 192 ms 28964 KB Output is correct
87 Correct 202 ms 29388 KB Output is correct
88 Correct 3 ms 4948 KB Output is correct
89 Correct 192 ms 29360 KB Output is correct
90 Correct 182 ms 27308 KB Output is correct
91 Correct 164 ms 27188 KB Output is correct