oj.uz

Submission #817481

# Submission time Handle Problem Language Result Execution time Memory
817481 2023-08-09T12:52:46 Z finn__ Catfish Farm (IOI22_fish) C++17
100 / 100
 319 ms 68800 KB 
#include "fish.h"

#include <bits/stdc++.h>
using namespace std;

constexpr size_t N = 100001;

struct state
{
    vector<int64_t> s, l, z;
};

state f[N];
vector<int64_t> p[N];
vector<uint32_t> coords[N];

size_t ind(size_t x, int y)
{
    return lower_bound(coords[x].begin(), coords[x].end(), y) - coords[x].begin();
}

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

    for (size_t i = 0; i < n; ++i)
    {
        coords[i].push_back(0);
        sort(coords[i].begin(), coords[i].end());
        coords[i].resize(unique(coords[i].begin(), coords[i].end()) - coords[i].begin());
        f[i].s.resize(coords[i].size());
        f[i].l.resize(coords[i].size());
        f[i].z.resize(i ? coords[i - 1].size() : 1);
        p[i].resize(coords[i].size());
    }

    for (size_t i = 1; i < n; ++i)
    {
        fill(f[i].s.begin(), f[i].s.end(), INT64_MIN / 2);
        fill(f[i].l.begin(), f[i].l.end(), INT64_MIN / 2);
        fill(f[i].z.begin(), f[i].z.end(), INT64_MIN / 2);
    }

    for (size_t i = 0; i < m; ++i)
        p[x[i]][ind(x[i], y[i] + 1)] = w[i];
    for (size_t i = 0; i < n; ++i)
        for (size_t j = 1; j < p[i].size(); ++j)
            p[i][j] += p[i][j - 1];

    for (size_t i = 1; i < n; ++i)
    {
        // Update s
        int64_t h = f[i - 1].s[0];
        size_t k = 0, l = i == 1 ? SIZE_MAX : 0;
        for (size_t j = 1; j < coords[i].size(); ++j)
        {
            while (k < coords[i - 1].size() && coords[i - 1][k] < coords[i][j])
            {
                h = max(h, f[i - 1].s[k] - p[i - 1][k]);
                ++k;
            }
            while (l < f[i - 1].z.size() && coords[i - 2][l] < coords[i][j])
            {
                size_t v = ind(i - 1, coords[i - 2][l]);
                if (v == coords[i - 1].size() || coords[i - 1][v] > coords[i - 2][l])
                    --v;
                h = max(h, f[i - 1].z[l] - p[i - 1][v]);
                ++l;
            }

            size_t u = ind(i - 1, coords[i][j]);
            if (u == coords[i - 1].size() || coords[i - 1][u] > coords[i][j])
                --u;
            f[i].s[j] = max(f[i].s[j], h + p[i - 1][u]);
        }

        h = INT64_MIN;
        l = f[i - 1].z.size() - 1;
        for (size_t j = coords[i].size() - 1; j < coords[i].size(); --j)
        {
            while (l != SIZE_MAX && (i == 1 || coords[i - 2][l] > coords[i][j]))
            {
                h = max(h, f[i - 1].z[l]);
                f[i].s[j] = max(f[i].s[j], h);
                --l;
            }
            if (l != SIZE_MAX)
            {
                h = max(h, f[i - 1].z[l]);
                f[i].s[j] = max(f[i].s[j], h);
                --l;
            }
        }

        // Update l
        int64_t g = 0; // max f_i-1,k,s f_i-1,k-l + p_ik over all k >= j
        k = coords[i - 1].size() - 1;
        for (size_t j = coords[i].size() - 1; j < coords[i].size(); --j)
        {
            while (k != SIZE_MAX && coords[i - 1][k] > coords[i][j])
            {
                size_t u = ind(i, coords[i - 1][k]);
                if (u == coords[i].size() || coords[i][u] > coords[i - 1][k])
                    --u;
                g = max(g, max(f[i - 1].l[k], f[i - 1].s[k]) + p[i][u]);
                --k;
            }
            if (k != SIZE_MAX)
            {
                size_t u = ind(i, coords[i - 1][k]);
                if (u == coords[i].size() || coords[i][u] > coords[i - 1][k])
                    --u;
                g = max(g, max(f[i - 1].l[k], f[i - 1].s[k]) + p[i][u]);
                --k;
            }
            f[i].l[j] = max(f[i].l[j], g - p[i][j]);
        }

        // Update z
        k = 0;
        for (size_t j = 0; j < f[i].z.size(); ++j)
        {
            while (k + 1 < coords[i].size() && coords[i][k + 1] <= coords[i - 1][j])
                ++k;
            f[i].z[j] = max(f[i].z[j], max(f[i - 1].s[j], f[i - 1].l[j]) + p[i][k]);

            if (!j)
            {
                for (size_t k = 0; k < f[i - 1].z.size(); ++k)
                    f[i].z[j] = max(f[i].z[j], f[i - 1].z[k]);
            }
        }
    }

    int64_t ans = 0;
    for (size_t j = 0; j < f[n - 1].s.size(); ++j)
        ans = max(ans, max(f[n - 1].s[j], f[n - 1].l[j]));
    for (size_t j = 0; j < f[n - 1].z.size(); ++j)
        ans = max(ans, f[n - 1].z[j]);
    return ans;
}

Compilation message

fish.cpp: In function 'long long int max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:24:26: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   24 |     for (size_t i = 0; i < m; ++i)
      |                        ~~^~~
fish.cpp:33:26: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   33 |     for (size_t i = 0; i < n; ++i)
      |                        ~~^~~
fish.cpp:44:26: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   44 |     for (size_t i = 1; i < n; ++i)
      |                        ~~^~~
fish.cpp:51:26: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   51 |     for (size_t i = 0; i < m; ++i)
      |                        ~~^~~
fish.cpp:53:26: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   53 |     for (size_t i = 0; i < n; ++i)
      |                        ~~^~~
fish.cpp:57:26: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   57 |     for (size_t i = 1; i < n; ++i)
      |                        ~~^~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 33672 KB Output is correct
2 Correct 90 ms 37036 KB Output is correct
3 Correct 29 ms 27588 KB Output is correct
4 Correct 30 ms 27648 KB Output is correct
5 Correct 303 ms 66540 KB Output is correct
6 Correct 250 ms 62172 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 11988 KB Output is correct
2 Correct 136 ms 39540 KB Output is correct
3 Correct 165 ms 43800 KB Output is correct
4 Correct 73 ms 33716 KB Output is correct
5 Correct 91 ms 37116 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 5 ms 11988 KB Output is correct
8 Correct 5 ms 11988 KB Output is correct
9 Correct 5 ms 11988 KB Output is correct
10 Correct 30 ms 27604 KB Output is correct
11 Correct 29 ms 27692 KB Output is correct
12 Correct 91 ms 36624 KB Output is correct
13 Correct 108 ms 40592 KB Output is correct
14 Correct 97 ms 35236 KB Output is correct
15 Correct 87 ms 35264 KB Output is correct
16 Correct 86 ms 35172 KB Output is correct
17 Correct 94 ms 37668 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 27664 KB Output is correct
2 Correct 30 ms 27608 KB Output is correct
3 Correct 54 ms 27332 KB Output is correct
4 Correct 47 ms 28492 KB Output is correct
5 Correct 76 ms 29940 KB Output is correct
6 Correct 69 ms 29992 KB Output is correct
7 Correct 85 ms 30032 KB Output is correct
8 Correct 73 ms 30036 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 11988 KB Output is correct
2 Correct 5 ms 11988 KB Output is correct
3 Correct 5 ms 11988 KB Output is correct
4 Correct 5 ms 11988 KB Output is correct
5 Correct 7 ms 12048 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 6 ms 12040 KB Output is correct
8 Correct 5 ms 11988 KB Output is correct
9 Correct 6 ms 11968 KB Output is correct
10 Correct 6 ms 12232 KB Output is correct
11 Correct 6 ms 12116 KB Output is correct
12 Correct 7 ms 12116 KB Output is correct
13 Correct 6 ms 12044 KB Output is correct
14 Correct 6 ms 12100 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 11988 KB Output is correct
2 Correct 5 ms 11988 KB Output is correct
3 Correct 5 ms 11988 KB Output is correct
4 Correct 5 ms 11988 KB Output is correct
5 Correct 7 ms 12048 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 6 ms 12040 KB Output is correct
8 Correct 5 ms 11988 KB Output is correct
9 Correct 6 ms 11968 KB Output is correct
10 Correct 6 ms 12232 KB Output is correct
11 Correct 6 ms 12116 KB Output is correct
12 Correct 7 ms 12116 KB Output is correct
13 Correct 6 ms 12044 KB Output is correct
14 Correct 6 ms 12100 KB Output is correct
15 Correct 6 ms 12116 KB Output is correct
16 Correct 6 ms 12224 KB Output is correct
17 Correct 29 ms 16536 KB Output is correct
18 Correct 28 ms 16152 KB Output is correct
19 Correct 27 ms 16204 KB Output is correct
20 Correct 26 ms 15996 KB Output is correct
21 Correct 31 ms 15884 KB Output is correct
22 Correct 49 ms 19824 KB Output is correct
23 Correct 12 ms 13268 KB Output is correct
24 Correct 27 ms 15828 KB Output is correct
25 Correct 7 ms 12116 KB Output is correct
26 Correct 11 ms 13140 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 11988 KB Output is correct
2 Correct 5 ms 11988 KB Output is correct
3 Correct 5 ms 11988 KB Output is correct
4 Correct 5 ms 11988 KB Output is correct
5 Correct 7 ms 12048 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 6 ms 12040 KB Output is correct
8 Correct 5 ms 11988 KB Output is correct
9 Correct 6 ms 11968 KB Output is correct
10 Correct 6 ms 12232 KB Output is correct
11 Correct 6 ms 12116 KB Output is correct
12 Correct 7 ms 12116 KB Output is correct
13 Correct 6 ms 12044 KB Output is correct
14 Correct 6 ms 12100 KB Output is correct
15 Correct 6 ms 12116 KB Output is correct
16 Correct 6 ms 12224 KB Output is correct
17 Correct 29 ms 16536 KB Output is correct
18 Correct 28 ms 16152 KB Output is correct
19 Correct 27 ms 16204 KB Output is correct
20 Correct 26 ms 15996 KB Output is correct
21 Correct 31 ms 15884 KB Output is correct
22 Correct 49 ms 19824 KB Output is correct
23 Correct 12 ms 13268 KB Output is correct
24 Correct 27 ms 15828 KB Output is correct
25 Correct 7 ms 12116 KB Output is correct
26 Correct 11 ms 13140 KB Output is correct
27 Correct 7 ms 12684 KB Output is correct
28 Correct 131 ms 32480 KB Output is correct
29 Correct 208 ms 44864 KB Output is correct
30 Correct 267 ms 58176 KB Output is correct
31 Correct 271 ms 57804 KB Output is correct
32 Correct 166 ms 38396 KB Output is correct
33 Correct 288 ms 58676 KB Output is correct
34 Correct 301 ms 58804 KB Output is correct
35 Correct 96 ms 27024 KB Output is correct
36 Correct 254 ms 52660 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 27664 KB Output is correct
2 Correct 30 ms 27608 KB Output is correct
3 Correct 54 ms 27332 KB Output is correct
4 Correct 47 ms 28492 KB Output is correct
5 Correct 76 ms 29940 KB Output is correct
6 Correct 69 ms 29992 KB Output is correct
7 Correct 85 ms 30032 KB Output is correct
8 Correct 73 ms 30036 KB Output is correct
9 Correct 84 ms 36300 KB Output is correct
10 Correct 61 ms 23212 KB Output is correct
11 Correct 131 ms 34384 KB Output is correct
12 Correct 5 ms 11988 KB Output is correct
13 Correct 5 ms 11988 KB Output is correct
14 Correct 6 ms 11988 KB Output is correct
15 Correct 6 ms 11988 KB Output is correct
16 Correct 8 ms 11988 KB Output is correct
17 Correct 7 ms 11988 KB Output is correct
18 Correct 30 ms 27648 KB Output is correct
19 Correct 30 ms 27676 KB Output is correct
20 Correct 35 ms 27696 KB Output is correct
21 Correct 31 ms 27680 KB Output is correct
22 Correct 108 ms 35344 KB Output is correct
23 Correct 174 ms 45072 KB Output is correct
24 Correct 181 ms 46608 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 33672 KB Output is correct
2 Correct 90 ms 37036 KB Output is correct
3 Correct 29 ms 27588 KB Output is correct
4 Correct 30 ms 27648 KB Output is correct
5 Correct 303 ms 66540 KB Output is correct
6 Correct 250 ms 62172 KB Output is correct
7 Correct 5 ms 11988 KB Output is correct
8 Correct 136 ms 39540 KB Output is correct
9 Correct 165 ms 43800 KB Output is correct
10 Correct 73 ms 33716 KB Output is correct
11 Correct 91 ms 37116 KB Output is correct
12 Correct 6 ms 11988 KB Output is correct
13 Correct 5 ms 11988 KB Output is correct
14 Correct 5 ms 11988 KB Output is correct
15 Correct 5 ms 11988 KB Output is correct
16 Correct 30 ms 27604 KB Output is correct
17 Correct 29 ms 27692 KB Output is correct
18 Correct 91 ms 36624 KB Output is correct
19 Correct 108 ms 40592 KB Output is correct
20 Correct 97 ms 35236 KB Output is correct
21 Correct 87 ms 35264 KB Output is correct
22 Correct 86 ms 35172 KB Output is correct
23 Correct 94 ms 37668 KB Output is correct
24 Correct 29 ms 27664 KB Output is correct
25 Correct 30 ms 27608 KB Output is correct
26 Correct 54 ms 27332 KB Output is correct
27 Correct 47 ms 28492 KB Output is correct
28 Correct 76 ms 29940 KB Output is correct
29 Correct 69 ms 29992 KB Output is correct
30 Correct 85 ms 30032 KB Output is correct
31 Correct 73 ms 30036 KB Output is correct
32 Correct 5 ms 11988 KB Output is correct
33 Correct 5 ms 11988 KB Output is correct
34 Correct 5 ms 11988 KB Output is correct
35 Correct 5 ms 11988 KB Output is correct
36 Correct 7 ms 12048 KB Output is correct
37 Correct 6 ms 11988 KB Output is correct
38 Correct 6 ms 12040 KB Output is correct
39 Correct 5 ms 11988 KB Output is correct
40 Correct 6 ms 11968 KB Output is correct
41 Correct 6 ms 12232 KB Output is correct
42 Correct 6 ms 12116 KB Output is correct
43 Correct 7 ms 12116 KB Output is correct
44 Correct 6 ms 12044 KB Output is correct
45 Correct 6 ms 12100 KB Output is correct
46 Correct 6 ms 12116 KB Output is correct
47 Correct 6 ms 12224 KB Output is correct
48 Correct 29 ms 16536 KB Output is correct
49 Correct 28 ms 16152 KB Output is correct
50 Correct 27 ms 16204 KB Output is correct
51 Correct 26 ms 15996 KB Output is correct
52 Correct 31 ms 15884 KB Output is correct
53 Correct 49 ms 19824 KB Output is correct
54 Correct 12 ms 13268 KB Output is correct
55 Correct 27 ms 15828 KB Output is correct
56 Correct 7 ms 12116 KB Output is correct
57 Correct 11 ms 13140 KB Output is correct
58 Correct 7 ms 12684 KB Output is correct
59 Correct 131 ms 32480 KB Output is correct
60 Correct 208 ms 44864 KB Output is correct
61 Correct 267 ms 58176 KB Output is correct
62 Correct 271 ms 57804 KB Output is correct
63 Correct 166 ms 38396 KB Output is correct
64 Correct 288 ms 58676 KB Output is correct
65 Correct 301 ms 58804 KB Output is correct
66 Correct 96 ms 27024 KB Output is correct
67 Correct 254 ms 52660 KB Output is correct
68 Correct 84 ms 36300 KB Output is correct
69 Correct 61 ms 23212 KB Output is correct
70 Correct 131 ms 34384 KB Output is correct
71 Correct 5 ms 11988 KB Output is correct
72 Correct 5 ms 11988 KB Output is correct
73 Correct 6 ms 11988 KB Output is correct
74 Correct 6 ms 11988 KB Output is correct
75 Correct 8 ms 11988 KB Output is correct
76 Correct 7 ms 11988 KB Output is correct
77 Correct 30 ms 27648 KB Output is correct
78 Correct 30 ms 27676 KB Output is correct
79 Correct 35 ms 27696 KB Output is correct
80 Correct 31 ms 27680 KB Output is correct
81 Correct 108 ms 35344 KB Output is correct
82 Correct 174 ms 45072 KB Output is correct
83 Correct 181 ms 46608 KB Output is correct
84 Correct 315 ms 67608 KB Output is correct
85 Correct 319 ms 68620 KB Output is correct
86 Correct 254 ms 67648 KB Output is correct
87 Correct 273 ms 68800 KB Output is correct
88 Correct 6 ms 11988 KB Output is correct
89 Correct 267 ms 68632 KB Output is correct
90 Correct 233 ms 63156 KB Output is correct
91 Correct 185 ms 55668 KB Output is correct