oj.uz

Submission #702589

# Submission time Handle Problem Language Result Execution time Memory
702589 2023-02-24T13:37:43 Z boris_mihov Catfish Farm (IOI22_fish) C++17
67 / 100
 1000 ms 130144 KB 
#include "fish.h"
#include <algorithm>
#include <iostream>
#include <cassert>
#include <numeric>
#include <vector>

#pragma GCC optimize ("Ofast,fast-math")
#pragma GCC target ("sse4")

typedef long long llong;
const int MAXN = 100000 + 10;
const int MAXM = 600000 + 10;
 
struct Position
{
    int y;
    int idx;
    llong in;
    llong left;
    llong right;
 
    Position(int _y, int _idx, llong _in, llong _left, llong _right)
    {
        y = _y;
        idx = _idx;
        left = _left;
        right = _right;
        in = _in;
    }
};
 
int cnt;
struct SegmentTree
{
    llong tree[1 << 21];
    SegmentTree()
    {
        std::fill(tree, tree + (1 << 21), (llong)-1e18);
    }
 
    void update(int l, int r, int node, int queryIdx, llong value)
    {
        if (l == r)
        {
            tree[node] = value;
            return;
        }
 
        int mid = (l + r) >> 1;
        if (queryIdx <= mid) update(l, mid, node << 1, queryIdx, value);
        else update(mid + 1, r, (node << 1) | 1, queryIdx, value);
        tree[node] = std::max(tree[node << 1], tree[(node << 1) | 1]);
    }
 
    llong query(int l, int r, int node, int queryL, int queryR)
    {
        if (queryL <= l && r <= queryR)
        {
            return tree[node];
        }
 
        llong ans = -1e18;
        int mid = (l + r) >> 1;
        if (queryL <= mid) ans = std::max(ans, query(l, mid, node << 1, queryL, queryR));
        if (mid + 1 <= queryR) ans = std::max(ans, query(mid + 1, r, (node << 1) | 1, queryL, queryR));
        return ans; 
    }
 
    void update(int pos, llong value)
    {
        update(1, cnt, 1, pos, value);
    }
 
    llong query(int l, int r)
    {
        return query(1, cnt, 1, l, r);
    }
};
 
int n, m;
llong dp[MAXM][2];
std::vector <Position> pos[MAXN];
std::vector <Position> posUncleared[MAXN];
std::vector <std::pair <int,int>> fish[MAXN];
SegmentTree LR, minusL, minusIN;
 
llong max_weights(int N, int M, std::vector <int> X, std::vector <int> Y, std::vector <int> W) 
{
    n = N; m = M;   
    for (int i = 0 ; i < m ; ++i)
    {
        fish[X[i] + 1].emplace_back(Y[i] + 1, W[i]);
    }
 
    for (int x = 1 ; x <= n ; ++x)
    {
        std::sort(fish[x].begin(), fish[x].end());
        for (const auto &[y, w] : fish[x])
        {
            if (x != 1)
            {
                posUncleared[x - 1].push_back({y, 0, 0LL, 0LL, 0LL});
            }
 
            if (x != n)
            {
                posUncleared[x + 1].push_back({y, 0, 0LL, 0LL, 0LL});
            }
        }
    }
 
    for (int x = 1 ; x <= n ; ++x)
    {
        std::sort(posUncleared[x].begin(), posUncleared[x].end(), [&](Position a, Position b)
        {
            return a.y < b.y;
        });
        
        for (Position p : posUncleared[x])
        {
            if (!pos[x].empty() && pos[x].back().y == p.y)
            {
                continue;
            }
 
            pos[x].push_back(p);
        }
 
        int ptrL = 0;
        int ptrR = 0;
        int ptrIN = 0;
        llong inSum = 0;
        llong leftSum = 0;
        llong rightSum = 0;
        for (Position &p : pos[x])
        {
            while (ptrL < fish[x - 1].size() && fish[x - 1][ptrL].first <= p.y)
            {
                leftSum += fish[x - 1][ptrL].second;
                ptrL++;
            }
 
            while (ptrR < fish[x + 1].size() && fish[x + 1][ptrR].first <= p.y)
            {
                rightSum += fish[x + 1][ptrR].second;
                ptrR++;
            }
 
            while (ptrIN < fish[x].size() && fish[x][ptrIN].first <= p.y)
            {
                inSum += fish[x][ptrIN].second;
                ptrIN++;
            }
 
            p.in = inSum;
            p.left = leftSum;
            p.right = rightSum;
        }
    }
    
    for (int x = 1 ; x <= n ; ++x)
    {
        for (Position &p : pos[x])
        {
            p.idx = ++cnt;
        }
    }

    for (int x = n ; x >= 1 ; --x)
    {
        for (int type = 0 ; type < 2 ; ++type)
        {
            for (const Position &curr : pos[x])
            {
                if (x == n) continue;
                int l = -1, r = pos[x + 1].size(), mid;
                while (l < r - 1)
                {
                    mid = (l + r) >> 1;
                    if (pos[x + 1][mid].y < curr.y) l = mid;
                    else r = mid;
                }
 
                if (l >= 0)
                {
                    dp[curr.idx][type] = std::max(dp[curr.idx][type], minusIN.query(pos[x + 1][0].idx, pos[x + 1][l].idx));
                }
 
                if (r < pos[x + 1].size() && type == 0)
                {
                    dp[curr.idx][type] = std::max(dp[curr.idx][type], LR.query(pos[x + 1][r].idx, pos[x + 1].back().idx) - curr.in - curr.right);
                }
 
                if (x + 2 <= n)
                {
                    l = -1;
                    r = pos[x + 2].size();
                    while (l < r - 1)
                    {
                        mid = (l + r) >> 1;
                        if (pos[x + 2][mid].y < curr.y) l = mid;
                        else r = mid;
                    }
 
                    if (l >= 0)
                    {
                        dp[curr.idx][type] = std::max(dp[curr.idx][type], minusL.query(pos[x + 2][0].idx, pos[x + 2][l].idx));
                    }
 
                    if (r < pos[x + 2].size())
                    {
                        dp[curr.idx][type] = std::max(dp[curr.idx][type], LR.query(pos[x + 2][r].idx, pos[x + 2].back().idx) - curr.right);
                    }
                }
 
                int firstIdx = pos[x].back().idx + 1;
                if (x + 1 <= n && !pos[x + 1].empty())
                {
                    firstIdx = pos[x + 1].back().idx + 1;
                }
 
                if (x + 2 <= n && !pos[x + 2].empty())
                {
                    firstIdx = pos[x + 2].back().idx + 1;
                }
 
                if (firstIdx <= cnt)
                {
                    dp[curr.idx][type] = std::max(dp[curr.idx][type], LR.query(firstIdx, cnt));
                }
            }

            for (const Position &curr : pos[x])
            {
                minusIN.update(curr.idx, dp[curr.idx][1] - curr.in + curr.right);
                LR.update(curr.idx, dp[curr.idx][0] + curr.left + curr.right);
                minusL.update(curr.idx, dp[curr.idx][0] + curr.right);
            }
        }
    }
 
    return LR.query(1, cnt);
}

Compilation message

fish.cpp: In function 'llong max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:138:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  138 |             while (ptrL < fish[x - 1].size() && fish[x - 1][ptrL].first <= p.y)
      |                    ~~~~~^~~~~~~~~~~~~~~~~~~~
fish.cpp:144:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  144 |             while (ptrR < fish[x + 1].size() && fish[x + 1][ptrR].first <= p.y)
      |                    ~~~~~^~~~~~~~~~~~~~~~~~~~
fish.cpp:150:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  150 |             while (ptrIN < fish[x].size() && fish[x][ptrIN].first <= p.y)
      |                    ~~~~~~^~~~~~~~~~~~~~~~
fish.cpp:190:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Position>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  190 |                 if (r < pos[x + 1].size() && type == 0)
      |                     ~~^~~~~~~~~~~~~~~~~~~
fish.cpp:211:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Position>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  211 |                     if (r < pos[x + 2].size())
      |                         ~~^~~~~~~~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 67768 KB Output is correct
2 Correct 111 ms 69028 KB Output is correct
3 Correct 23 ms 56532 KB Output is correct
4 Correct 22 ms 56584 KB Output is correct
5 Correct 718 ms 116352 KB Output is correct
6 Correct 821 ms 130144 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 56532 KB Output is correct
2 Correct 359 ms 80516 KB Output is correct
3 Correct 430 ms 84904 KB Output is correct
4 Correct 91 ms 67768 KB Output is correct
5 Correct 111 ms 69012 KB Output is correct
6 Correct 22 ms 56516 KB Output is correct
7 Correct 22 ms 56556 KB Output is correct
8 Correct 22 ms 56552 KB Output is correct
9 Correct 22 ms 56532 KB Output is correct
10 Correct 23 ms 56464 KB Output is correct
11 Correct 24 ms 56532 KB Output is correct
12 Correct 177 ms 72892 KB Output is correct
13 Correct 213 ms 75316 KB Output is correct
14 Correct 146 ms 69264 KB Output is correct
15 Correct 195 ms 70196 KB Output is correct
16 Correct 149 ms 69284 KB Output is correct
17 Correct 173 ms 70172 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 56488 KB Output is correct
2 Correct 24 ms 56536 KB Output is correct
3 Correct 101 ms 67344 KB Output is correct
4 Correct 74 ms 63888 KB Output is correct
5 Correct 162 ms 76140 KB Output is correct
6 Correct 155 ms 76108 KB Output is correct
7 Correct 158 ms 76076 KB Output is correct
8 Correct 161 ms 76236 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 56564 KB Output is correct
2 Correct 21 ms 56532 KB Output is correct
3 Correct 22 ms 56484 KB Output is correct
4 Correct 21 ms 56532 KB Output is correct
5 Correct 23 ms 56484 KB Output is correct
6 Correct 20 ms 56572 KB Output is correct
7 Correct 22 ms 56532 KB Output is correct
8 Correct 21 ms 56544 KB Output is correct
9 Correct 22 ms 56608 KB Output is correct
10 Correct 30 ms 57096 KB Output is correct
11 Correct 25 ms 56724 KB Output is correct
12 Correct 24 ms 56788 KB Output is correct
13 Correct 22 ms 56544 KB Output is correct
14 Correct 24 ms 56808 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 56564 KB Output is correct
2 Correct 21 ms 56532 KB Output is correct
3 Correct 22 ms 56484 KB Output is correct
4 Correct 21 ms 56532 KB Output is correct
5 Correct 23 ms 56484 KB Output is correct
6 Correct 20 ms 56572 KB Output is correct
7 Correct 22 ms 56532 KB Output is correct
8 Correct 21 ms 56544 KB Output is correct
9 Correct 22 ms 56608 KB Output is correct
10 Correct 30 ms 57096 KB Output is correct
11 Correct 25 ms 56724 KB Output is correct
12 Correct 24 ms 56788 KB Output is correct
13 Correct 22 ms 56544 KB Output is correct
14 Correct 24 ms 56808 KB Output is correct
15 Correct 25 ms 56608 KB Output is correct
16 Correct 25 ms 56980 KB Output is correct
17 Correct 127 ms 64612 KB Output is correct
18 Correct 116 ms 65016 KB Output is correct
19 Correct 118 ms 65780 KB Output is correct
20 Correct 111 ms 65428 KB Output is correct
21 Correct 105 ms 65452 KB Output is correct
22 Correct 196 ms 72140 KB Output is correct
23 Correct 50 ms 58600 KB Output is correct
24 Correct 108 ms 63164 KB Output is correct
25 Correct 25 ms 56788 KB Output is correct
26 Correct 48 ms 58392 KB Output is correct

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 56564 KB Output is correct
2 Correct 21 ms 56532 KB Output is correct
3 Correct 22 ms 56484 KB Output is correct
4 Correct 21 ms 56532 KB Output is correct
5 Correct 23 ms 56484 KB Output is correct
6 Correct 20 ms 56572 KB Output is correct
7 Correct 22 ms 56532 KB Output is correct
8 Correct 21 ms 56544 KB Output is correct
9 Correct 22 ms 56608 KB Output is correct
10 Correct 30 ms 57096 KB Output is correct
11 Correct 25 ms 56724 KB Output is correct
12 Correct 24 ms 56788 KB Output is correct
13 Correct 22 ms 56544 KB Output is correct
14 Correct 24 ms 56808 KB Output is correct
15 Correct 25 ms 56608 KB Output is correct
16 Correct 25 ms 56980 KB Output is correct
17 Correct 127 ms 64612 KB Output is correct
18 Correct 116 ms 65016 KB Output is correct
19 Correct 118 ms 65780 KB Output is correct
20 Correct 111 ms 65428 KB Output is correct
21 Correct 105 ms 65452 KB Output is correct
22 Correct 196 ms 72140 KB Output is correct
23 Correct 50 ms 58600 KB Output is correct
24 Correct 108 ms 63164 KB Output is correct
25 Correct 25 ms 56788 KB Output is correct
26 Correct 48 ms 58392 KB Output is correct
27 Correct 31 ms 57296 KB Output is correct
28 Correct 551 ms 93792 KB Output is correct
29 Correct 845 ms 111440 KB Output is correct
30 Execution timed out 1040 ms 124336 KB Time limit exceeded
31 Halted 0 ms 0 KB -

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 56488 KB Output is correct
2 Correct 24 ms 56536 KB Output is correct
3 Correct 101 ms 67344 KB Output is correct
4 Correct 74 ms 63888 KB Output is correct
5 Correct 162 ms 76140 KB Output is correct
6 Correct 155 ms 76108 KB Output is correct
7 Correct 158 ms 76076 KB Output is correct
8 Correct 161 ms 76236 KB Output is correct
9 Correct 276 ms 80780 KB Output is correct
10 Correct 176 ms 73024 KB Output is correct
11 Correct 355 ms 89388 KB Output is correct
12 Correct 22 ms 56532 KB Output is correct
13 Correct 22 ms 56532 KB Output is correct
14 Correct 23 ms 56512 KB Output is correct
15 Correct 21 ms 56532 KB Output is correct
16 Correct 21 ms 56576 KB Output is correct
17 Correct 23 ms 56528 KB Output is correct
18 Correct 22 ms 56520 KB Output is correct
19 Correct 22 ms 56484 KB Output is correct
20 Correct 24 ms 56532 KB Output is correct
21 Correct 25 ms 56576 KB Output is correct
22 Correct 302 ms 80844 KB Output is correct
23 Correct 543 ms 97256 KB Output is correct
24 Correct 563 ms 98440 KB Output is correct

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 67768 KB Output is correct
2 Correct 111 ms 69028 KB Output is correct
3 Correct 23 ms 56532 KB Output is correct
4 Correct 22 ms 56584 KB Output is correct
5 Correct 718 ms 116352 KB Output is correct
6 Correct 821 ms 130144 KB Output is correct
7 Correct 22 ms 56532 KB Output is correct
8 Correct 359 ms 80516 KB Output is correct
9 Correct 430 ms 84904 KB Output is correct
10 Correct 91 ms 67768 KB Output is correct
11 Correct 111 ms 69012 KB Output is correct
12 Correct 22 ms 56516 KB Output is correct
13 Correct 22 ms 56556 KB Output is correct
14 Correct 22 ms 56552 KB Output is correct
15 Correct 22 ms 56532 KB Output is correct
16 Correct 23 ms 56464 KB Output is correct
17 Correct 24 ms 56532 KB Output is correct
18 Correct 177 ms 72892 KB Output is correct
19 Correct 213 ms 75316 KB Output is correct
20 Correct 146 ms 69264 KB Output is correct
21 Correct 195 ms 70196 KB Output is correct
22 Correct 149 ms 69284 KB Output is correct
23 Correct 173 ms 70172 KB Output is correct
24 Correct 23 ms 56488 KB Output is correct
25 Correct 24 ms 56536 KB Output is correct
26 Correct 101 ms 67344 KB Output is correct
27 Correct 74 ms 63888 KB Output is correct
28 Correct 162 ms 76140 KB Output is correct
29 Correct 155 ms 76108 KB Output is correct
30 Correct 158 ms 76076 KB Output is correct
31 Correct 161 ms 76236 KB Output is correct
32 Correct 22 ms 56564 KB Output is correct
33 Correct 21 ms 56532 KB Output is correct
34 Correct 22 ms 56484 KB Output is correct
35 Correct 21 ms 56532 KB Output is correct
36 Correct 23 ms 56484 KB Output is correct
37 Correct 20 ms 56572 KB Output is correct
38 Correct 22 ms 56532 KB Output is correct
39 Correct 21 ms 56544 KB Output is correct
40 Correct 22 ms 56608 KB Output is correct
41 Correct 30 ms 57096 KB Output is correct
42 Correct 25 ms 56724 KB Output is correct
43 Correct 24 ms 56788 KB Output is correct
44 Correct 22 ms 56544 KB Output is correct
45 Correct 24 ms 56808 KB Output is correct
46 Correct 25 ms 56608 KB Output is correct
47 Correct 25 ms 56980 KB Output is correct
48 Correct 127 ms 64612 KB Output is correct
49 Correct 116 ms 65016 KB Output is correct
50 Correct 118 ms 65780 KB Output is correct
51 Correct 111 ms 65428 KB Output is correct
52 Correct 105 ms 65452 KB Output is correct
53 Correct 196 ms 72140 KB Output is correct
54 Correct 50 ms 58600 KB Output is correct
55 Correct 108 ms 63164 KB Output is correct
56 Correct 25 ms 56788 KB Output is correct
57 Correct 48 ms 58392 KB Output is correct
58 Correct 31 ms 57296 KB Output is correct
59 Correct 551 ms 93792 KB Output is correct
60 Correct 845 ms 111440 KB Output is correct
61 Execution timed out 1040 ms 124336 KB Time limit exceeded
62 Halted 0 ms 0 KB -