oj.uz

Submission #702558

# Submission time Handle Problem Language Result Execution time Memory
702558 2023-02-24T12:03:15 Z boris_mihov Catfish Farm (IOI22_fish) C++17
18 / 100
 928 ms 194064 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];
    SegmentTree()
    {
        std::fill(tree, tree + 4*MAXM, (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) / 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)
    {
        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 i = 1 ; i < pos[x].size() ; ++i)
        {
            assert(pos[x][i].y > pos[x][i - 1].y);
        }
    }

    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:135:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  135 |             while (ptrL < fish[x - 1].size() && fish[x - 1][ptrL].first <= p.y)
      |                    ~~~~~^~~~~~~~~~~~~~~~~~~~
fish.cpp:141:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  141 |             while (ptrR < fish[x + 1].size() && fish[x + 1][ptrR].first <= p.y)
      |                    ~~~~~^~~~~~~~~~~~~~~~~~~~
fish.cpp:147:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  147 |             while (ptrIN < fish[x].size() && fish[x][ptrIN].first <= p.y)
      |                    ~~~~~~^~~~~~~~~~~~~~~~
fish.cpp:166:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Position>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  166 |         for (int i = 1 ; i < pos[x].size() ; ++i)
      |                          ~~^~~~~~~~~~~~~~~
fish.cpp:199:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Position>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  199 |                 if (r < pos[x + 1].size() && type == 0)
      |                     ~~^~~~~~~~~~~~~~~~~~~
fish.cpp:220:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Position>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  220 |                     if (r < pos[x + 2].size())
      |                         ~~^~~~~~~~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 117 ms 131232 KB Output is correct
2 Correct 134 ms 132496 KB Output is correct
3 Correct 55 ms 119976 KB Output is correct
4 Correct 48 ms 119996 KB Output is correct
5 Correct 832 ms 179824 KB Output is correct
6 Correct 928 ms 194064 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 54 ms 120056 KB Output is correct
2 Correct 420 ms 145248 KB Output is correct
3 Correct 482 ms 149600 KB Output is correct
4 Correct 121 ms 132412 KB Output is correct
5 Correct 139 ms 133572 KB Output is correct
6 Correct 49 ms 119956 KB Output is correct
7 Correct 51 ms 120056 KB Output is correct
8 Correct 49 ms 119960 KB Output is correct
9 Correct 51 ms 120092 KB Output is correct
10 Correct 52 ms 120060 KB Output is correct
11 Correct 51 ms 119996 KB Output is correct
12 Correct 206 ms 137476 KB Output is correct
13 Correct 249 ms 139868 KB Output is correct
14 Correct 189 ms 134040 KB Output is correct
15 Correct 237 ms 134772 KB Output is correct
16 Correct 182 ms 134016 KB Output is correct
17 Correct 207 ms 134784 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 120012 KB Output is correct
2 Correct 52 ms 119980 KB Output is correct
3 Correct 130 ms 131740 KB Output is correct
4 Correct 102 ms 128068 KB Output is correct
5 Correct 207 ms 140664 KB Output is correct
6 Correct 215 ms 140516 KB Output is correct
7 Correct 193 ms 140736 KB Output is correct
8 Correct 208 ms 140796 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 119968 KB Output is correct
2 Correct 49 ms 119940 KB Output is correct
3 Correct 48 ms 120012 KB Output is correct
4 Correct 49 ms 119952 KB Output is correct
5 Correct 49 ms 120012 KB Output is correct
6 Correct 58 ms 120004 KB Output is correct
7 Correct 49 ms 120012 KB Output is correct
8 Correct 51 ms 120052 KB Output is correct
9 Correct 56 ms 120068 KB Output is correct
10 Correct 52 ms 120432 KB Output is correct
11 Incorrect 51 ms 120188 KB 1st lines differ - on the 1st token, expected: '278622587073', found: '278441359083'
12 Halted 0 ms 0 KB -

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 119968 KB Output is correct
2 Correct 49 ms 119940 KB Output is correct
3 Correct 48 ms 120012 KB Output is correct
4 Correct 49 ms 119952 KB Output is correct
5 Correct 49 ms 120012 KB Output is correct
6 Correct 58 ms 120004 KB Output is correct
7 Correct 49 ms 120012 KB Output is correct
8 Correct 51 ms 120052 KB Output is correct
9 Correct 56 ms 120068 KB Output is correct
10 Correct 52 ms 120432 KB Output is correct
11 Incorrect 51 ms 120188 KB 1st lines differ - on the 1st token, expected: '278622587073', found: '278441359083'
12 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 119968 KB Output is correct
2 Correct 49 ms 119940 KB Output is correct
3 Correct 48 ms 120012 KB Output is correct
4 Correct 49 ms 119952 KB Output is correct
5 Correct 49 ms 120012 KB Output is correct
6 Correct 58 ms 120004 KB Output is correct
7 Correct 49 ms 120012 KB Output is correct
8 Correct 51 ms 120052 KB Output is correct
9 Correct 56 ms 120068 KB Output is correct
10 Correct 52 ms 120432 KB Output is correct
11 Incorrect 51 ms 120188 KB 1st lines differ - on the 1st token, expected: '278622587073', found: '278441359083'
12 Halted 0 ms 0 KB -

Subtask #7
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 120012 KB Output is correct
2 Correct 52 ms 119980 KB Output is correct
3 Correct 130 ms 131740 KB Output is correct
4 Correct 102 ms 128068 KB Output is correct
5 Correct 207 ms 140664 KB Output is correct
6 Correct 215 ms 140516 KB Output is correct
7 Correct 193 ms 140736 KB Output is correct
8 Correct 208 ms 140796 KB Output is correct
9 Correct 328 ms 145452 KB Output is correct
10 Correct 208 ms 137568 KB Output is correct
11 Correct 384 ms 154136 KB Output is correct
12 Correct 50 ms 120044 KB Output is correct
13 Correct 49 ms 120020 KB Output is correct
14 Correct 49 ms 120040 KB Output is correct
15 Correct 48 ms 119944 KB Output is correct
16 Correct 48 ms 120016 KB Output is correct
17 Correct 49 ms 120056 KB Output is correct
18 Correct 51 ms 119968 KB Output is correct
19 Correct 50 ms 120020 KB Output is correct
20 Correct 50 ms 120012 KB Output is correct
21 Correct 54 ms 120032 KB Output is correct
22 Incorrect 343 ms 145564 KB 1st lines differ - on the 1st token, expected: '45561826463480', found: '45479946212981'
23 Halted 0 ms 0 KB -

Subtask #8
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 117 ms 131232 KB Output is correct
2 Correct 134 ms 132496 KB Output is correct
3 Correct 55 ms 119976 KB Output is correct
4 Correct 48 ms 119996 KB Output is correct
5 Correct 832 ms 179824 KB Output is correct
6 Correct 928 ms 194064 KB Output is correct
7 Correct 54 ms 120056 KB Output is correct
8 Correct 420 ms 145248 KB Output is correct
9 Correct 482 ms 149600 KB Output is correct
10 Correct 121 ms 132412 KB Output is correct
11 Correct 139 ms 133572 KB Output is correct
12 Correct 49 ms 119956 KB Output is correct
13 Correct 51 ms 120056 KB Output is correct
14 Correct 49 ms 119960 KB Output is correct
15 Correct 51 ms 120092 KB Output is correct
16 Correct 52 ms 120060 KB Output is correct
17 Correct 51 ms 119996 KB Output is correct
18 Correct 206 ms 137476 KB Output is correct
19 Correct 249 ms 139868 KB Output is correct
20 Correct 189 ms 134040 KB Output is correct
21 Correct 237 ms 134772 KB Output is correct
22 Correct 182 ms 134016 KB Output is correct
23 Correct 207 ms 134784 KB Output is correct
24 Correct 49 ms 120012 KB Output is correct
25 Correct 52 ms 119980 KB Output is correct
26 Correct 130 ms 131740 KB Output is correct
27 Correct 102 ms 128068 KB Output is correct
28 Correct 207 ms 140664 KB Output is correct
29 Correct 215 ms 140516 KB Output is correct
30 Correct 193 ms 140736 KB Output is correct
31 Correct 208 ms 140796 KB Output is correct
32 Correct 48 ms 119968 KB Output is correct
33 Correct 49 ms 119940 KB Output is correct
34 Correct 48 ms 120012 KB Output is correct
35 Correct 49 ms 119952 KB Output is correct
36 Correct 49 ms 120012 KB Output is correct
37 Correct 58 ms 120004 KB Output is correct
38 Correct 49 ms 120012 KB Output is correct
39 Correct 51 ms 120052 KB Output is correct
40 Correct 56 ms 120068 KB Output is correct
41 Correct 52 ms 120432 KB Output is correct
42 Incorrect 51 ms 120188 KB 1st lines differ - on the 1st token, expected: '278622587073', found: '278441359083'
43 Halted 0 ms 0 KB -