oj.uz

Submission #804537

# Submission time Handle Problem Language Result Execution time Memory
804537 2023-08-03T09:38:45 Z phoebe Catfish Farm (IOI22_fish) C++17
100 / 100
 139 ms 36556 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define FOR(i, n) for (int i = 0; i < n; i++)
#define PB push_back
#define pii pair<int, int>
#define F first
#define S second
#define ALL(x) x.begin(), x.end()
const int INF = 1e9 + 7;

const int maxn = 1e5 + 10;
int n, m;
vector<pii> fish[maxn]; // {y, w}
vector<ll> include[maxn], includent[maxn];

ll max_weights(int N, int M, vector<int> x, 
vector<int> y, vector<int> w){
    n = N, m = M;
    FOR(i, m) fish[x[i]].PB({y[i], w[i]});
    fish[0].PB({n, 0}); sort(ALL(fish[0]));
    include[0].assign(fish[0].size(), 0); 
    includent[0].assign(fish[0].size(), 0);
    for (int k = 1; k < n; k++){
        fish[k].PB({n, 0}); sort(ALL(fish[k]));
        // case 0: k + 1 pier is >= k pier
        // k + 1 pier determines fish on k
        // k - 1 pier length does not matter
        ll best = 0;
        for (auto v : include[k - 1]) best = max(best, v);
        include[k].assign(fish[k].size(), best);
        includent[k].assign(fish[k].size(), best);
        // case 1: k pier is >= k - 1 pier
        // k pier determines which fish can be caught on k - 1
        ll j = 0, sum = 0, mx = -INF;
        FOR(i, fish[k].size()){ 
            // building a pier of length y[fish[k][i]] - 1
            while (j < fish[k - 1].size() && fish[k - 1][j].F < fish[k][i].F){
                mx = max(mx, includent[k - 1][j] - sum);
                sum += fish[k - 1][j].S; j++;
            }
            include[k][i] = max(include[k][i], mx + sum);
            includent[k][i] = max(includent[k][i], mx + sum);
        }
        // case 2: k pier is <= k - 1 pier
        // k - 1 pier determines which fish can be caught on k
        j = fish[k - 1].size(), sum = 0, mx = -INF;
        for (int i = fish[k].size() - 1; i >= 0; i--){
            // building a pier of length y[fish[k][i]] - 1
            while (j > 0 && fish[k - 1][j - 1].F > fish[k][i].F){
                j--;
                mx = max(mx, include[k - 1][j] - sum);
            }
            sum += fish[k][i].S;
            include[k][i] = max(include[k][i], mx + sum);
        }
        // cout << "we are on x = " << k << endl;
        // for (auto v : include[k]) cout << v << ' '; cout << endl;
        // for (auto v : includent[k]) cout << v << ' '; cout << endl;
        // cout << endl;
    }
    ll re = 0;
    for (auto v : include[n - 1]) re = max(re, v);
    return re;
}

// signed main(){
//     cout << max_weights(5, 4, {0, 1, 4, 3}, 
//     {2, 1, 4, 3}, {5, 2, 1, 3});
// }

Compilation message

fish.cpp: In function 'long long int max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:5:37: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    5 | #define FOR(i, n) for (int i = 0; i < n; i++)
......
   37 |         FOR(i, fish[k].size()){
      |             ~~~~~~~~~~~~~~~~~        
fish.cpp:37:9: note: in expansion of macro 'FOR'
   37 |         FOR(i, fish[k].size()){
      |         ^~~
fish.cpp:39:22: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   39 |             while (j < fish[k - 1].size() && fish[k - 1][j].F < fish[k][i].F){
      |                    ~~^~~~~~~~~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 19904 KB Output is correct
2 Correct 51 ms 21596 KB Output is correct
3 Correct 18 ms 16744 KB Output is correct
4 Correct 19 ms 16688 KB Output is correct
5 Correct 139 ms 31144 KB Output is correct
6 Correct 118 ms 30552 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7348 KB Output is correct
2 Correct 66 ms 23780 KB Output is correct
3 Correct 100 ms 26436 KB Output is correct
4 Correct 42 ms 19776 KB Output is correct
5 Correct 48 ms 21664 KB Output is correct
6 Correct 3 ms 7252 KB Output is correct
7 Correct 3 ms 7348 KB Output is correct
8 Correct 3 ms 7252 KB Output is correct
9 Correct 3 ms 7252 KB Output is correct
10 Correct 16 ms 16724 KB Output is correct
11 Correct 15 ms 16648 KB Output is correct
12 Correct 40 ms 20936 KB Output is correct
13 Correct 48 ms 23184 KB Output is correct
14 Correct 47 ms 20928 KB Output is correct
15 Correct 43 ms 22596 KB Output is correct
16 Correct 40 ms 20928 KB Output is correct
17 Correct 45 ms 22448 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 16684 KB Output is correct
2 Correct 17 ms 16700 KB Output is correct
3 Correct 37 ms 17956 KB Output is correct
4 Correct 28 ms 18132 KB Output is correct
5 Correct 49 ms 20680 KB Output is correct
6 Correct 47 ms 20056 KB Output is correct
7 Correct 45 ms 20532 KB Output is correct
8 Correct 55 ms 20596 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7332 KB Output is correct
2 Correct 4 ms 7252 KB Output is correct
3 Correct 4 ms 7304 KB Output is correct
4 Correct 3 ms 7252 KB Output is correct
5 Correct 3 ms 7348 KB Output is correct
6 Correct 3 ms 7252 KB Output is correct
7 Correct 5 ms 7252 KB Output is correct
8 Correct 4 ms 7252 KB Output is correct
9 Correct 4 ms 7352 KB Output is correct
10 Correct 5 ms 7508 KB Output is correct
11 Correct 4 ms 7284 KB Output is correct
12 Correct 4 ms 7380 KB Output is correct
13 Correct 4 ms 7252 KB Output is correct
14 Correct 4 ms 7380 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7332 KB Output is correct
2 Correct 4 ms 7252 KB Output is correct
3 Correct 4 ms 7304 KB Output is correct
4 Correct 3 ms 7252 KB Output is correct
5 Correct 3 ms 7348 KB Output is correct
6 Correct 3 ms 7252 KB Output is correct
7 Correct 5 ms 7252 KB Output is correct
8 Correct 4 ms 7252 KB Output is correct
9 Correct 4 ms 7352 KB Output is correct
10 Correct 5 ms 7508 KB Output is correct
11 Correct 4 ms 7284 KB Output is correct
12 Correct 4 ms 7380 KB Output is correct
13 Correct 4 ms 7252 KB Output is correct
14 Correct 4 ms 7380 KB Output is correct
15 Correct 3 ms 7380 KB Output is correct
16 Correct 4 ms 7484 KB Output is correct
17 Correct 18 ms 10304 KB Output is correct
18 Correct 17 ms 10572 KB Output is correct
19 Correct 17 ms 10580 KB Output is correct
20 Correct 18 ms 10592 KB Output is correct
21 Correct 17 ms 10452 KB Output is correct
22 Correct 33 ms 13620 KB Output is correct
23 Correct 7 ms 7892 KB Output is correct
24 Correct 12 ms 9280 KB Output is correct
25 Correct 4 ms 7380 KB Output is correct
26 Correct 6 ms 7892 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7332 KB Output is correct
2 Correct 4 ms 7252 KB Output is correct
3 Correct 4 ms 7304 KB Output is correct
4 Correct 3 ms 7252 KB Output is correct
5 Correct 3 ms 7348 KB Output is correct
6 Correct 3 ms 7252 KB Output is correct
7 Correct 5 ms 7252 KB Output is correct
8 Correct 4 ms 7252 KB Output is correct
9 Correct 4 ms 7352 KB Output is correct
10 Correct 5 ms 7508 KB Output is correct
11 Correct 4 ms 7284 KB Output is correct
12 Correct 4 ms 7380 KB Output is correct
13 Correct 4 ms 7252 KB Output is correct
14 Correct 4 ms 7380 KB Output is correct
15 Correct 3 ms 7380 KB Output is correct
16 Correct 4 ms 7484 KB Output is correct
17 Correct 18 ms 10304 KB Output is correct
18 Correct 17 ms 10572 KB Output is correct
19 Correct 17 ms 10580 KB Output is correct
20 Correct 18 ms 10592 KB Output is correct
21 Correct 17 ms 10452 KB Output is correct
22 Correct 33 ms 13620 KB Output is correct
23 Correct 7 ms 7892 KB Output is correct
24 Correct 12 ms 9280 KB Output is correct
25 Correct 4 ms 7380 KB Output is correct
26 Correct 6 ms 7892 KB Output is correct
27 Correct 4 ms 7636 KB Output is correct
28 Correct 69 ms 22664 KB Output is correct
29 Correct 108 ms 28396 KB Output is correct
30 Correct 96 ms 27980 KB Output is correct
31 Correct 95 ms 27976 KB Output is correct
32 Correct 90 ms 28880 KB Output is correct
33 Correct 101 ms 28000 KB Output is correct
34 Correct 110 ms 28136 KB Output is correct
35 Correct 40 ms 15352 KB Output is correct
36 Correct 96 ms 28528 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 16684 KB Output is correct
2 Correct 17 ms 16700 KB Output is correct
3 Correct 37 ms 17956 KB Output is correct
4 Correct 28 ms 18132 KB Output is correct
5 Correct 49 ms 20680 KB Output is correct
6 Correct 47 ms 20056 KB Output is correct
7 Correct 45 ms 20532 KB Output is correct
8 Correct 55 ms 20596 KB Output is correct
9 Correct 48 ms 20400 KB Output is correct
10 Correct 45 ms 16816 KB Output is correct
11 Correct 84 ms 26456 KB Output is correct
12 Correct 4 ms 7252 KB Output is correct
13 Correct 3 ms 7348 KB Output is correct
14 Correct 3 ms 7348 KB Output is correct
15 Correct 3 ms 7252 KB Output is correct
16 Correct 4 ms 7348 KB Output is correct
17 Correct 4 ms 7252 KB Output is correct
18 Correct 15 ms 16684 KB Output is correct
19 Correct 16 ms 16632 KB Output is correct
20 Correct 17 ms 16628 KB Output is correct
21 Correct 16 ms 16748 KB Output is correct
22 Correct 54 ms 21696 KB Output is correct
23 Correct 95 ms 26384 KB Output is correct
24 Correct 90 ms 26972 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 19904 KB Output is correct
2 Correct 51 ms 21596 KB Output is correct
3 Correct 18 ms 16744 KB Output is correct
4 Correct 19 ms 16688 KB Output is correct
5 Correct 139 ms 31144 KB Output is correct
6 Correct 118 ms 30552 KB Output is correct
7 Correct 4 ms 7348 KB Output is correct
8 Correct 66 ms 23780 KB Output is correct
9 Correct 100 ms 26436 KB Output is correct
10 Correct 42 ms 19776 KB Output is correct
11 Correct 48 ms 21664 KB Output is correct
12 Correct 3 ms 7252 KB Output is correct
13 Correct 3 ms 7348 KB Output is correct
14 Correct 3 ms 7252 KB Output is correct
15 Correct 3 ms 7252 KB Output is correct
16 Correct 16 ms 16724 KB Output is correct
17 Correct 15 ms 16648 KB Output is correct
18 Correct 40 ms 20936 KB Output is correct
19 Correct 48 ms 23184 KB Output is correct
20 Correct 47 ms 20928 KB Output is correct
21 Correct 43 ms 22596 KB Output is correct
22 Correct 40 ms 20928 KB Output is correct
23 Correct 45 ms 22448 KB Output is correct
24 Correct 15 ms 16684 KB Output is correct
25 Correct 17 ms 16700 KB Output is correct
26 Correct 37 ms 17956 KB Output is correct
27 Correct 28 ms 18132 KB Output is correct
28 Correct 49 ms 20680 KB Output is correct
29 Correct 47 ms 20056 KB Output is correct
30 Correct 45 ms 20532 KB Output is correct
31 Correct 55 ms 20596 KB Output is correct
32 Correct 5 ms 7332 KB Output is correct
33 Correct 4 ms 7252 KB Output is correct
34 Correct 4 ms 7304 KB Output is correct
35 Correct 3 ms 7252 KB Output is correct
36 Correct 3 ms 7348 KB Output is correct
37 Correct 3 ms 7252 KB Output is correct
38 Correct 5 ms 7252 KB Output is correct
39 Correct 4 ms 7252 KB Output is correct
40 Correct 4 ms 7352 KB Output is correct
41 Correct 5 ms 7508 KB Output is correct
42 Correct 4 ms 7284 KB Output is correct
43 Correct 4 ms 7380 KB Output is correct
44 Correct 4 ms 7252 KB Output is correct
45 Correct 4 ms 7380 KB Output is correct
46 Correct 3 ms 7380 KB Output is correct
47 Correct 4 ms 7484 KB Output is correct
48 Correct 18 ms 10304 KB Output is correct
49 Correct 17 ms 10572 KB Output is correct
50 Correct 17 ms 10580 KB Output is correct
51 Correct 18 ms 10592 KB Output is correct
52 Correct 17 ms 10452 KB Output is correct
53 Correct 33 ms 13620 KB Output is correct
54 Correct 7 ms 7892 KB Output is correct
55 Correct 12 ms 9280 KB Output is correct
56 Correct 4 ms 7380 KB Output is correct
57 Correct 6 ms 7892 KB Output is correct
58 Correct 4 ms 7636 KB Output is correct
59 Correct 69 ms 22664 KB Output is correct
60 Correct 108 ms 28396 KB Output is correct
61 Correct 96 ms 27980 KB Output is correct
62 Correct 95 ms 27976 KB Output is correct
63 Correct 90 ms 28880 KB Output is correct
64 Correct 101 ms 28000 KB Output is correct
65 Correct 110 ms 28136 KB Output is correct
66 Correct 40 ms 15352 KB Output is correct
67 Correct 96 ms 28528 KB Output is correct
68 Correct 48 ms 20400 KB Output is correct
69 Correct 45 ms 16816 KB Output is correct
70 Correct 84 ms 26456 KB Output is correct
71 Correct 4 ms 7252 KB Output is correct
72 Correct 3 ms 7348 KB Output is correct
73 Correct 3 ms 7348 KB Output is correct
74 Correct 3 ms 7252 KB Output is correct
75 Correct 4 ms 7348 KB Output is correct
76 Correct 4 ms 7252 KB Output is correct
77 Correct 15 ms 16684 KB Output is correct
78 Correct 16 ms 16632 KB Output is correct
79 Correct 17 ms 16628 KB Output is correct
80 Correct 16 ms 16748 KB Output is correct
81 Correct 54 ms 21696 KB Output is correct
82 Correct 95 ms 26384 KB Output is correct
83 Correct 90 ms 26972 KB Output is correct
84 Correct 112 ms 36304 KB Output is correct
85 Correct 115 ms 36556 KB Output is correct
86 Correct 124 ms 34256 KB Output is correct
87 Correct 128 ms 35028 KB Output is correct
88 Correct 5 ms 7252 KB Output is correct
89 Correct 121 ms 35104 KB Output is correct
90 Correct 116 ms 35676 KB Output is correct
91 Correct 110 ms 36192 KB Output is correct