oj.uz

Submission #701574

# Submission time Handle Problem Language Result Execution time Memory
701574 2023-02-21T14:06:36 Z boris_mihov Catfish Farm (IOI22_fish) C++17
18 / 100
 845 ms 179596 KB 
#include "fish.h"
#include <algorithm>
#include <iostream>
#include <cassert>
#include <numeric>
#include <vector>

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[4*MAXM];
    void update(int l, int r, int node, int queryIdx, llong value)
    {
        if (l == r)
        {
            tree[node] = value;
            return;
        }

        int mid = (l + r) / 2;
        if (queryIdx <= mid) update(l, mid, 2*node, queryIdx, value);
        else update(mid + 1, r, 2*node + 1, queryIdx, value);
        tree[node] = std::max(tree[2*node], tree[2*node + 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) / 2;
        if (queryL <= mid) ans = std::max(ans, query(l, mid, 2*node, queryL, queryR));
        if (mid + 1 <= queryR) ans = std::max(ans, query(mid + 1, r, 2*node + 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[2], minusL[2], minusIN[2];

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)
    {
        for (Position p : posUncleared[x])
        {
            if (!pos[x].empty() && pos[x].back().y == p.y)
            {
                continue;
            }

            p.idx = ++cnt;
            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 = n ; x >= 1 ; --x)
    {
        for (int type = 0 ; type < 2 ; ++type)
        {
            for (const Position &curr : pos[x])
            {
                if (x == n)
                {
                    minusL[type].update(curr.idx, dp[curr.idx][type] - curr.left + curr.right);
                    minusIN[type].update(curr.idx, dp[curr.idx][type] - curr.in + curr.right);
                    LR[type].update(curr.idx, dp[curr.idx][type] + curr.left + curr.right);
                    continue;
                }

                int l = -1, r = pos[x + 1].size(), mid;
                while (l < r - 1)
                {
                    mid = (l + r) / 2;
                    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[1].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[0].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) / 2;
                        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[0].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[0].query(pos[x + 2][r].idx, pos[x + 2].back().idx) - curr.right);
                    }
                }

                int firstIdx = pos[x].back().idx + 1;
                if (!pos[x + 1].empty())
                {
                    firstIdx = pos[x + 1].back().idx + 1;
                }

                if (!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[0].query(firstIdx, cnt));
                }

                minusL[type].update(curr.idx, dp[curr.idx][type] - curr.left + curr.right);
                minusIN[type].update(curr.idx, dp[curr.idx][type] - curr.in + curr.right);
                LR[type].update(curr.idx, dp[curr.idx][type] + curr.left + curr.right);
            }
        }
    }

    return LR[0].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:126:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  126 |             while (ptrL < fish[x - 1].size() && fish[x - 1][ptrL].first <= p.y)
      |                    ~~~~~^~~~~~~~~~~~~~~~~~~~
fish.cpp:132:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  132 |             while (ptrR < fish[x + 1].size() && fish[x + 1][ptrR].first <= p.y)
      |                    ~~~~~^~~~~~~~~~~~~~~~~~~~
fish.cpp:138:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  138 |             while (ptrIN < fish[x].size() && fish[x][ptrIN].first <= p.y)
      |                    ~~~~~~^~~~~~~~~~~~~~~~
fish.cpp:177:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Position>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  177 |                 if (r < pos[x + 1].size() && type == 0)
      |                     ~~^~~~~~~~~~~~~~~~~~~
fish.cpp:198:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Position>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  198 |                     if (r < pos[x + 2].size())
      |                         ~~^~~~~~~~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 27360 KB Output is correct
2 Correct 102 ms 29192 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 5 ms 7380 KB Output is correct
5 Correct 744 ms 165820 KB Output is correct
6 Correct 845 ms 179596 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7380 KB Output is correct
2 Correct 350 ms 55016 KB Output is correct
3 Correct 448 ms 85104 KB Output is correct
4 Correct 76 ms 27356 KB Output is correct
5 Correct 109 ms 29172 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7384 KB Output is correct
8 Correct 5 ms 7384 KB Output is correct
9 Correct 4 ms 7360 KB Output is correct
10 Correct 5 ms 7380 KB Output is correct
11 Correct 5 ms 7380 KB Output is correct
12 Correct 176 ms 47472 KB Output is correct
13 Correct 201 ms 51048 KB Output is correct
14 Correct 141 ms 33392 KB Output is correct
15 Correct 204 ms 47116 KB Output is correct
16 Correct 142 ms 33492 KB Output is correct
17 Correct 166 ms 47040 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7380 KB Output is correct
2 Correct 5 ms 7320 KB Output is correct
3 Correct 86 ms 24316 KB Output is correct
4 Correct 62 ms 20892 KB Output is correct
5 Correct 145 ms 39228 KB Output is correct
6 Correct 163 ms 39180 KB Output is correct
7 Correct 146 ms 39260 KB Output is correct
8 Correct 156 ms 39244 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 3 ms 7380 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 4 ms 7364 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7360 KB Output is correct
8 Correct 4 ms 7364 KB Output is correct
9 Correct 5 ms 7608 KB Output is correct
10 Correct 10 ms 8660 KB Output is correct
11 Incorrect 6 ms 7756 KB 1st lines differ - on the 1st token, expected: '278622587073', found: '278253610386'
12 Halted 0 ms 0 KB -

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 3 ms 7380 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 4 ms 7364 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7360 KB Output is correct
8 Correct 4 ms 7364 KB Output is correct
9 Correct 5 ms 7608 KB Output is correct
10 Correct 10 ms 8660 KB Output is correct
11 Incorrect 6 ms 7756 KB 1st lines differ - on the 1st token, expected: '278622587073', found: '278253610386'
12 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 3 ms 7380 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 4 ms 7380 KB Output is correct
5 Correct 4 ms 7364 KB Output is correct
6 Correct 4 ms 7380 KB Output is correct
7 Correct 4 ms 7360 KB Output is correct
8 Correct 4 ms 7364 KB Output is correct
9 Correct 5 ms 7608 KB Output is correct
10 Correct 10 ms 8660 KB Output is correct
11 Incorrect 6 ms 7756 KB 1st lines differ - on the 1st token, expected: '278622587073', found: '278253610386'
12 Halted 0 ms 0 KB -

Subtask #7
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7380 KB Output is correct
2 Correct 5 ms 7320 KB Output is correct
3 Correct 86 ms 24316 KB Output is correct
4 Correct 62 ms 20892 KB Output is correct
5 Correct 145 ms 39228 KB Output is correct
6 Correct 163 ms 39180 KB Output is correct
7 Correct 146 ms 39260 KB Output is correct
8 Correct 156 ms 39244 KB Output is correct
9 Correct 278 ms 56288 KB Output is correct
10 Correct 322 ms 53076 KB Output is correct
11 Correct 620 ms 98888 KB Output is correct
12 Correct 3 ms 7380 KB Output is correct
13 Correct 4 ms 7380 KB Output is correct
14 Correct 4 ms 7376 KB Output is correct
15 Correct 4 ms 7356 KB Output is correct
16 Correct 4 ms 7380 KB Output is correct
17 Correct 4 ms 7356 KB Output is correct
18 Correct 6 ms 7364 KB Output is correct
19 Correct 5 ms 7380 KB Output is correct
20 Correct 7 ms 7364 KB Output is correct
21 Correct 5 ms 7380 KB Output is correct
22 Incorrect 294 ms 58316 KB 1st lines differ - on the 1st token, expected: '45561826463480', found: '45356223398028'
23 Halted 0 ms 0 KB -

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 27360 KB Output is correct
2 Correct 102 ms 29192 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 5 ms 7380 KB Output is correct
5 Correct 744 ms 165820 KB Output is correct
6 Correct 845 ms 179596 KB Output is correct
7 Correct 3 ms 7380 KB Output is correct
8 Correct 350 ms 55016 KB Output is correct
9 Correct 448 ms 85104 KB Output is correct
10 Correct 76 ms 27356 KB Output is correct
11 Correct 109 ms 29172 KB Output is correct
12 Correct 4 ms 7380 KB Output is correct
13 Correct 4 ms 7384 KB Output is correct
14 Correct 5 ms 7384 KB Output is correct
15 Correct 4 ms 7360 KB Output is correct
16 Correct 5 ms 7380 KB Output is correct
17 Correct 5 ms 7380 KB Output is correct
18 Correct 176 ms 47472 KB Output is correct
19 Correct 201 ms 51048 KB Output is correct
20 Correct 141 ms 33392 KB Output is correct
21 Correct 204 ms 47116 KB Output is correct
22 Correct 142 ms 33492 KB Output is correct
23 Correct 166 ms 47040 KB Output is correct
24 Correct 5 ms 7380 KB Output is correct
25 Correct 5 ms 7320 KB Output is correct
26 Correct 86 ms 24316 KB Output is correct
27 Correct 62 ms 20892 KB Output is correct
28 Correct 145 ms 39228 KB Output is correct
29 Correct 163 ms 39180 KB Output is correct
30 Correct 146 ms 39260 KB Output is correct
31 Correct 156 ms 39244 KB Output is correct
32 Correct 4 ms 7380 KB Output is correct
33 Correct 3 ms 7380 KB Output is correct
34 Correct 4 ms 7380 KB Output is correct
35 Correct 4 ms 7380 KB Output is correct
36 Correct 4 ms 7364 KB Output is correct
37 Correct 4 ms 7380 KB Output is correct
38 Correct 4 ms 7360 KB Output is correct
39 Correct 4 ms 7364 KB Output is correct
40 Correct 5 ms 7608 KB Output is correct
41 Correct 10 ms 8660 KB Output is correct
42 Incorrect 6 ms 7756 KB 1st lines differ - on the 1st token, expected: '278622587073', found: '278253610386'
43 Halted 0 ms 0 KB -