oj.uz

Submission #741443

# Submission time Handle Problem Language Result Execution time Memory
741443 2023-05-14T05:44:53 Z GrindMachine Swap (BOI16_swap) C++17
68 / 100
 531 ms 262144 KB 
// Om Namah Shivaya

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a, b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a, b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*

refs:
https://usaco.guide/problems/baltic-oi-2016swap/solution
hidden tcs

*/

const int MOD = 1e9 + 7;
const int N = 2e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

vector<int> merge(int root, vector<int> v1, vector<int> v2) {
    vector<int> v3;
    v3.pb(root);

    int curr = 1;
    int ptr = 0;

    while (ptr < sz(v1) or ptr < sz(v2)) {
        rep(j, curr) {
            if (ptr < sz(v1)) {
                v3.pb(v1[ptr]);
            }
            ptr++;
        }

        ptr -= curr;

        rep(j, curr) {
            if (ptr < sz(v2)) {
                v3.pb(v2[ptr]);
            }
            ptr++;
        }

        curr *= 2;
    }

    return v3;
}

vector<int> a(N * 2, inf1);
int n;
Tree<int> states[N];

void gen_states(int i, int j) {
    if (i > n) return;
    if (states[i].find(j) != states[i].end()) return;

    states[i].insert(j);

    int l = 2 * i, r = 2 * i + 1;

    if (j < a[l] and j < a[r]) {
        gen_states(l, a[l]);
        gen_states(r, a[r]);
    }
    else if (a[l] < j and a[l] < a[r]) {
        states[i].insert(a[l]);
        gen_states(l, j);
        gen_states(r, a[r]);
    }
    else {
        states[i].insert(a[r]);
        gen_states(l, a[l]);
        gen_states(r, j);
        gen_states(l, j);
        gen_states(r, a[l]);
    }
}

void solve(int test_case)
{
    cin >> n;
    rep1(i, n) cin >> a[i];

    gen_states(1, a[1]);

    vector<vector<int>> dp[n + 5];

    rev(i, n, 1) {
        int siz = sz(states[i]);
        dp[i] = vector<vector<int>>(siz);

        int ind1 = -1, ind2 = -1, ind3 = -1;
        int l = 2 * i, r = 2 * i + 1;

        trav(j, states[i]) {
            ind1++;

            if (l > n and r > n) {
                dp[i][ind1] = {j};
            }
            else if (r > n) {
                dp[i][ind1] = {min(j, a[l]), max(j, a[l])};
            }
            else {
                if (j < a[l] and j < a[r]) {
                    // no swap
                    ind2 = states[l].order_of_key(a[l]);
                    ind3 = states[r].order_of_key(a[r]);
                    dp[i][ind1] = merge(j, dp[l][ind2], dp[r][ind3]);
                }
                else if (a[l] < j and a[l] < a[r]) {
                    // swap with left
                    ind2 = states[l].order_of_key(j);
                    ind3 = states[r].order_of_key(a[r]);
                    dp[i][ind1] = merge(a[l], dp[l][ind2], dp[r][ind3]);
                }
                else {
                    // swap with right
                    ind2 = states[l].order_of_key(a[l]);
                    ind3 = states[r].order_of_key(j);
                    dp[i][ind1] = merge(a[r], dp[l][ind2], dp[r][ind3]);

                    // swap with left and swap with right
                    ind2 = states[l].order_of_key(j);
                    ind3 = states[r].order_of_key(a[l]);
                    amin(dp[i][ind1], merge(a[r], dp[l][ind2], dp[r][ind3]));
                }
            }
        }

        if (l <= n) {
            dp[l].clear();
            dp[l].shrink_to_fit();
        }

        if (r <= n) {
            dp[r].clear();
            dp[r].shrink_to_fit();
        }
    }

    int ind = states[1].order_of_key(a[1]);
    auto ans = dp[1][ind];

    trav(x, ans) cout << x << " ";
    cout << endl;
}

int main()
{
    fastio;

    int t = 1;
    // cin >> t;

    rep1(i, t) {
        solve(i);
    }

    return 0;
}

Compilation message

swap.cpp: In function 'std::vector<int> merge(int, std::vector<int>, std::vector<int>)':
swap.cpp:71:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |     while (ptr < sz(v1) or ptr < sz(v2)) {
      |                ^
swap.cpp:71:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |     while (ptr < sz(v1) or ptr < sz(v2)) {
      |                                ^
swap.cpp:73:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   73 |             if (ptr < sz(v1)) {
      |                     ^
swap.cpp:82:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   82 |             if (ptr < sz(v2)) {
      |                     ^

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 17492 KB Output is correct
2 Correct 16 ms 17492 KB Output is correct
3 Correct 15 ms 17512 KB Output is correct
4 Correct 14 ms 17448 KB Output is correct
5 Correct 14 ms 17452 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 17492 KB Output is correct
2 Correct 16 ms 17492 KB Output is correct
3 Correct 15 ms 17512 KB Output is correct
4 Correct 14 ms 17448 KB Output is correct
5 Correct 14 ms 17452 KB Output is correct
6 Correct 13 ms 17500 KB Output is correct
7 Correct 15 ms 17564 KB Output is correct
8 Correct 14 ms 17544 KB Output is correct
9 Correct 14 ms 17544 KB Output is correct
10 Correct 15 ms 17508 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 17492 KB Output is correct
2 Correct 16 ms 17492 KB Output is correct
3 Correct 15 ms 17512 KB Output is correct
4 Correct 14 ms 17448 KB Output is correct
5 Correct 14 ms 17452 KB Output is correct
6 Correct 13 ms 17500 KB Output is correct
7 Correct 15 ms 17564 KB Output is correct
8 Correct 14 ms 17544 KB Output is correct
9 Correct 14 ms 17544 KB Output is correct
10 Correct 15 ms 17508 KB Output is correct
11 Correct 14 ms 17748 KB Output is correct
12 Correct 15 ms 17748 KB Output is correct
13 Correct 17 ms 17692 KB Output is correct
14 Correct 17 ms 18212 KB Output is correct
15 Correct 17 ms 18292 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 17492 KB Output is correct
2 Correct 16 ms 17492 KB Output is correct
3 Correct 15 ms 17512 KB Output is correct
4 Correct 14 ms 17448 KB Output is correct
5 Correct 14 ms 17452 KB Output is correct
6 Correct 13 ms 17500 KB Output is correct
7 Correct 15 ms 17564 KB Output is correct
8 Correct 14 ms 17544 KB Output is correct
9 Correct 14 ms 17544 KB Output is correct
10 Correct 15 ms 17508 KB Output is correct
11 Correct 14 ms 17748 KB Output is correct
12 Correct 15 ms 17748 KB Output is correct
13 Correct 17 ms 17692 KB Output is correct
14 Correct 17 ms 18212 KB Output is correct
15 Correct 17 ms 18292 KB Output is correct
16 Correct 97 ms 30204 KB Output is correct
17 Correct 93 ms 29884 KB Output is correct
18 Correct 90 ms 29996 KB Output is correct
19 Correct 378 ms 75212 KB Output is correct
20 Correct 366 ms 74572 KB Output is correct

Subtask #5
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 17492 KB Output is correct
2 Correct 16 ms 17492 KB Output is correct
3 Correct 15 ms 17512 KB Output is correct
4 Correct 14 ms 17448 KB Output is correct
5 Correct 14 ms 17452 KB Output is correct
6 Correct 13 ms 17500 KB Output is correct
7 Correct 15 ms 17564 KB Output is correct
8 Correct 14 ms 17544 KB Output is correct
9 Correct 14 ms 17544 KB Output is correct
10 Correct 15 ms 17508 KB Output is correct
11 Correct 14 ms 17748 KB Output is correct
12 Correct 15 ms 17748 KB Output is correct
13 Correct 17 ms 17692 KB Output is correct
14 Correct 17 ms 18212 KB Output is correct
15 Correct 17 ms 18292 KB Output is correct
16 Correct 97 ms 30204 KB Output is correct
17 Correct 93 ms 29884 KB Output is correct
18 Correct 90 ms 29996 KB Output is correct
19 Correct 378 ms 75212 KB Output is correct
20 Correct 366 ms 74572 KB Output is correct
21 Correct 376 ms 67424 KB Output is correct
22 Correct 387 ms 68408 KB Output is correct
23 Correct 385 ms 69464 KB Output is correct
24 Runtime error 531 ms 262144 KB Execution killed with signal 9
25 Halted 0 ms 0 KB -