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답안 #731281

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
731281 2023-04-27T08:47:35 Z danikoynov Sky Walking (IOI19_walk) C++14
43 / 100
 233 ms 20896 KB 
#include "walk.h"
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

const int maxn = 1e5 + 10;

struct skywalk
{
    int left, right;
    ll height;

    skywalk(int _left = 0, int _right = 0, ll _height = 0)
    {
        left = _left;
        right = _right;
        height = _height;
    }
}sky[maxn];

bool cmp(const skywalk &sk1, const skywalk &sk2)
{
    return sk1.height < sk2.height;
}

const ll inf = 1e18;
struct node
{
    ll down_sum, up_sum;

    node(ll _down_sum = inf, ll _up_sum = inf)
    {
        down_sum = _down_sum;
        up_sum = _up_sum;
    }
};

node merge_nodes(node lf, node rf)
{
    node nd;
    nd.down_sum = min(lf.down_sum, rf.down_sum);
    nd.up_sum = min(lf.up_sum, rf.up_sum);
    return nd;
}

node tree[4 * maxn];
int is_active[maxn];
ll dp[maxn];
void toggle(int root, int left, int right, int pos)
{
    if (left == right)
    {
        is_active[left] ^= 1;
        ///cout << root << " : " << left << " : " << right << " : " << pos << " " << is_active[left] << endl;
        if (is_active[left])
        {
            tree[root].down_sum = - sky[left].height + dp[left];
            tree[root].up_sum = sky[left].height + dp[left];
            ///cout << "activate " << left << " " << sky[left].height << endl;
        }
        else
        {
            tree[root] = node();
        }
        return;
    }

    int mid = (left + right) / 2;

    if (pos <= mid)
        toggle(root * 2, left, mid, pos);
    else
        toggle(root * 2 + 1, mid + 1, right, pos);


    tree[root] = merge_nodes(tree[root * 2], tree[root * 2 + 1]);
    ///cout << "here " << left << " " << right << " " << tree[root].up_sum << endl;
}

node query(int root, int left, int right, int qleft, int qright)
{
    if (left > qright || right < qleft)
    return node();

    if (left >= qleft && right <= qright)
        return tree[root];

    int mid = (left + right) / 2;
    return merge_nodes(query(root * 2, left, mid, qleft, qright),
                       query(root * 2 + 1, mid + 1, right, qleft, qright));
}

int n, m;
ll x[maxn], h[maxn];
vector < pair < int, int > > upd[maxn];

ll state[100][100];
bool intersects(int idx, int pos)
{
    if (sky[idx].left <= pos && sky[idx].right >= pos && sky[idx].height <= h[pos])
        return true;
    return false;
}

void relax_state(int i)
{
                for (int p1 = 0; p1 < m; p1 ++)
            {
                if (!intersects(p1, i))
                    continue;
                for (int p2 = 0; p2 < m; p2 ++)
                {
                    if (!intersects(p2, i))
                        continue;
                    state[i][p2] = min(state[i][p2], state[i][p1] + abs(sky[p1].height - sky[p2].height));
                }
            }
}
long long min_distance(vector<int> X, vector<int> H, vector<int> l, vector<int> r, vector<int> y, int s, int g)
{
    n = X.size();
    m = l.size();
    for (int i = 0; i < n; i ++)
        x[i] = X[i], h[i] = H[i];
    for (int i = 0; i < m; i ++)
    {
        sky[i] = skywalk(l[i], r[i], y[i]);
    }
    sort(sky, sky + m, cmp);

    if (n <= 50 && m <= 50)
    {
        if (s > g)
            swap(s, g);

            /**cout << "skywalk" << endl;
            for (int j = 0; j < m; j ++)
            {
                cout << j << " : " << sky[j].left << " " << sky[j].right << " " << sky[j].height << endl;
            }
            cout << "------------" << endl;*/
            for (int i = 0; i < n; i ++)
                for (int j = 0; j < m; j ++)
                state[i][j] = inf;
        for (int j = 0; j < m; j ++)
        {
            if (intersects(j, s))
                state[s][j] = sky[j].height;
        }

        for (int i = s - 1; i >= 0; i --)
        {
            for (int j = i + 1; j <= s; j ++)
            {
                for (int p = 0; p < m; p ++)
                {
                    if (intersects(p, i) && intersects(p, j))
                    {
                        state[i][p] = min(state[i][p], state[j][p] + abs(x[j] - x[i]));
                    }
                }
            }
            relax_state(i);
        }

        /**for (int j = 0; j < m; j ++)
            cout << state[s][j] << " ";
        cout << endl;*/

        for (int i = 0; i < n; i ++)
        {
                        for (int j = 0; j < i; j ++)
            {
                for (int p = 0; p < m; p ++)
                {
                    if (intersects(p, i) && intersects(p, j))
                    {
                        state[i][p] = min(state[i][p], state[j][p] + abs(x[j] - x[i]));
                    }
                }
            }


            relax_state(i);
        }

        for (int i = n - 1; i >= g; i --)
        {
            for (int j = n - 1; j > i; j --)
            {
                for (int p = 0; p < m; p ++)
                {
                    if (intersects(p, i) && intersects(p, j))
                    {
                        state[i][p] = min(state[i][p], state[j][p] + abs(x[j] - x[i]));
                    }
                }
            }

            relax_state(i);
        }

        ll ans = inf;
        for (int j = 0; j < m; j ++)
        {
            if (state[g][j] != inf)
                ans = min(ans, state[g][j] + sky[j].height);
        }
        if (ans == inf)
            return -1;
        return ans;
    }
    if (s != 0 || g != n - 1)
        return 0;

         for (int i = 0; i < m; i ++)
        {
            upd[sky[i].left].push_back({i, 1});
        }
        for (int i = 0; i < m; i ++)
        {

            upd[sky[i].right].push_back({i, -1});
        }



    for (pair < int, int > cur : upd[s])
    {
        dp[cur.first] = sky[cur.first].height;
        toggle(1, 0, m - 1, cur.first);
        ///cout << "here" << endl;
    }


    ///cout << tree[1].up_sum << endl;
    for (int i = 1; i < g; i ++)
    {
        for (pair < int, int > cur : upd[i])
        {

            if (cur.second == 1)
            {
                node under = node(), above = node();
                if (cur.first != 0)
                    under = query(1, 0, m - 1, 0, cur.first - 1);
                if (cur.first != m - 1)
                    above = query(1, 0, m - 1, cur.first + 1, m - 1);
            //cout << under.down_sum << " " << above.up_sum << endl;

                if (under.down_sum == inf && above.up_sum == inf)
                    dp[cur.first] = inf;
                else
                    dp[cur.first] = min(sky[cur.first].height + under.down_sum, above.up_sum - sky[cur.first].height);
                ///cout << cur.first << " :: " << dp[cur.first] << endl;
            }


            toggle(1, 0, m - 1, cur.first);
        }
    }

    node ans = tree[1];
    if (ans.up_sum == inf)
        return -1;
    return ans.up_sum + x[g] - x[s];
}

Compilation message

walk.cpp: In function 'long long int min_distance(std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, int, int)':
walk.cpp:134:9: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
  134 |         if (s > g)
      |         ^~
walk.cpp:143:13: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
  143 |             for (int i = 0; i < n; i ++)
      |             ^~~

Subtask #1
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 10452 KB Output is correct
2 Correct 7 ms 10452 KB Output is correct
3 Correct 6 ms 10436 KB Output is correct
4 Correct 7 ms 10452 KB Output is correct
5 Correct 7 ms 10500 KB Output is correct
6 Correct 8 ms 10520 KB Output is correct
7 Correct 5 ms 10488 KB Output is correct
8 Correct 6 ms 10452 KB Output is correct
9 Correct 5 ms 10452 KB Output is correct
10 Correct 6 ms 10492 KB Output is correct
11 Correct 8 ms 10496 KB Output is correct
12 Correct 6 ms 10496 KB Output is correct
13 Correct 7 ms 10496 KB Output is correct
14 Correct 6 ms 10452 KB Output is correct
15 Correct 7 ms 10452 KB Output is correct
16 Correct 6 ms 10504 KB Output is correct
17 Correct 6 ms 10452 KB Output is correct

Subtask #2
0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 10452 KB Output is correct
2 Correct 5 ms 10452 KB Output is correct
3 Incorrect 50 ms 13132 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #3
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 64 ms 13956 KB Output is correct
2 Correct 127 ms 16344 KB Output is correct
3 Correct 149 ms 17048 KB Output is correct
4 Correct 226 ms 20632 KB Output is correct
5 Correct 228 ms 20376 KB Output is correct
6 Correct 212 ms 20608 KB Output is correct
7 Correct 134 ms 17716 KB Output is correct
8 Correct 184 ms 20252 KB Output is correct
9 Correct 189 ms 20796 KB Output is correct
10 Correct 137 ms 19600 KB Output is correct
11 Correct 17 ms 12012 KB Output is correct

Subtask #4
18.0 / 18.0

# 결과 실행 시간 메모리 Grader output
1 Correct 64 ms 13956 KB Output is correct
2 Correct 127 ms 16344 KB Output is correct
3 Correct 149 ms 17048 KB Output is correct
4 Correct 226 ms 20632 KB Output is correct
5 Correct 228 ms 20376 KB Output is correct
6 Correct 212 ms 20608 KB Output is correct
7 Correct 134 ms 17716 KB Output is correct
8 Correct 184 ms 20252 KB Output is correct
9 Correct 189 ms 20796 KB Output is correct
10 Correct 137 ms 19600 KB Output is correct
11 Correct 17 ms 12012 KB Output is correct
12 Correct 148 ms 17052 KB Output is correct
13 Correct 201 ms 20644 KB Output is correct
14 Correct 192 ms 20240 KB Output is correct
15 Correct 176 ms 20684 KB Output is correct
16 Correct 233 ms 20640 KB Output is correct
17 Correct 194 ms 20512 KB Output is correct
18 Correct 197 ms 20640 KB Output is correct
19 Correct 222 ms 20636 KB Output is correct
20 Correct 124 ms 17648 KB Output is correct
21 Correct 29 ms 13696 KB Output is correct
22 Correct 156 ms 19436 KB Output is correct
23 Correct 159 ms 19760 KB Output is correct
24 Correct 174 ms 19740 KB Output is correct
25 Correct 183 ms 19604 KB Output is correct
26 Correct 141 ms 19992 KB Output is correct
27 Correct 179 ms 20564 KB Output is correct
28 Correct 231 ms 20644 KB Output is correct
29 Correct 167 ms 20508 KB Output is correct
30 Correct 113 ms 17684 KB Output is correct
31 Correct 170 ms 20896 KB Output is correct
32 Correct 183 ms 19848 KB Output is correct
33 Correct 141 ms 19984 KB Output is correct
34 Correct 131 ms 20236 KB Output is correct
35 Correct 181 ms 20388 KB Output is correct
36 Correct 178 ms 20456 KB Output is correct
37 Correct 181 ms 19960 KB Output is correct
38 Correct 163 ms 20252 KB Output is correct
39 Correct 109 ms 20696 KB Output is correct
40 Correct 151 ms 20320 KB Output is correct
41 Correct 169 ms 20328 KB Output is correct

Subtask #5
0 / 43.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 10452 KB Output is correct
2 Correct 7 ms 10452 KB Output is correct
3 Correct 6 ms 10436 KB Output is correct
4 Correct 7 ms 10452 KB Output is correct
5 Correct 7 ms 10500 KB Output is correct
6 Correct 8 ms 10520 KB Output is correct
7 Correct 5 ms 10488 KB Output is correct
8 Correct 6 ms 10452 KB Output is correct
9 Correct 5 ms 10452 KB Output is correct
10 Correct 6 ms 10492 KB Output is correct
11 Correct 8 ms 10496 KB Output is correct
12 Correct 6 ms 10496 KB Output is correct
13 Correct 7 ms 10496 KB Output is correct
14 Correct 6 ms 10452 KB Output is correct
15 Correct 7 ms 10452 KB Output is correct
16 Correct 6 ms 10504 KB Output is correct
17 Correct 6 ms 10452 KB Output is correct
18 Correct 5 ms 10452 KB Output is correct
19 Correct 5 ms 10452 KB Output is correct
20 Incorrect 50 ms 13132 KB Output isn't correct
21 Halted 0 ms 0 KB -