oj.uz

Submission #741419

# Submission time Handle Problem Language Result Execution time Memory
741419 2023-05-14T04:48:27 Z GrindMachine Swap (BOI16_swap) C++17
48 / 100
 1000 ms 111088 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 = 5e4 + 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;
vector<int> states[N];
vector<vector<int>> dp[N];

vector<int> go(int i, int j) {
    // lexi min bfs order of subtree i if a[i] = j
    if (i > n) return {};

    int j_ind = lower_bound(all(states[i]), j) - states[i].begin();
    if (!dp[i][j_ind].empty()) return dp[i][j_ind];

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

    // no swaps
    auto v1 = merge(j, go(l, a[l]), go(r, a[r]));

    // swap root with left
    auto v2 = merge(a[l], go(l, j), go(r, a[r]));

    // swap root with right
    auto v3 = merge(a[r], go(l, a[l]), go(r, j));

    // swap root with left and then with right
    auto v4 = merge(a[r], go(l, j), go(r, a[l]));

    vector<int> res = min({v1, v2, v3, v4});

    return dp[i][j_ind] = res;
}

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

    rep1(i, n) {
        for (int j = i; j; j >>= 1) {
            states[i].pb(a[j]);
            if (2 * j <= n) {
                states[i].pb(a[2 * j]);
            }
            if (2 * j + 1 <= n) {
                states[i].pb(a[2 * j + 1]);
            }
        }

        sort(all(states[i]));
        states[i].resize(unique(all(states[i])) - states[i].begin());

        int siz = sz(states[i]);
        dp[i] = vector<vector<int>>(siz);
    }

    auto ans = go(1, a[1]);

    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 2 ms 3028 KB Output is correct
2 Correct 2 ms 3080 KB Output is correct
3 Correct 2 ms 3028 KB Output is correct
4 Correct 2 ms 3028 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 2 ms 3080 KB Output is correct
3 Correct 2 ms 3028 KB Output is correct
4 Correct 2 ms 3028 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct
6 Correct 2 ms 3072 KB Output is correct
7 Correct 2 ms 3076 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 2 ms 3072 KB Output is correct
10 Correct 2 ms 3028 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 2 ms 3080 KB Output is correct
3 Correct 2 ms 3028 KB Output is correct
4 Correct 2 ms 3028 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct
6 Correct 2 ms 3072 KB Output is correct
7 Correct 2 ms 3076 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 2 ms 3072 KB Output is correct
10 Correct 2 ms 3028 KB Output is correct
11 Correct 14 ms 4268 KB Output is correct
12 Correct 13 ms 4228 KB Output is correct
13 Correct 13 ms 4228 KB Output is correct
14 Correct 13 ms 4180 KB Output is correct
15 Correct 12 ms 4160 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 2 ms 3080 KB Output is correct
3 Correct 2 ms 3028 KB Output is correct
4 Correct 2 ms 3028 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct
6 Correct 2 ms 3072 KB Output is correct
7 Correct 2 ms 3076 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 2 ms 3072 KB Output is correct
10 Correct 2 ms 3028 KB Output is correct
11 Correct 14 ms 4268 KB Output is correct
12 Correct 13 ms 4228 KB Output is correct
13 Correct 13 ms 4228 KB Output is correct
14 Correct 13 ms 4180 KB Output is correct
15 Correct 12 ms 4160 KB Output is correct
16 Execution timed out 1082 ms 111088 KB Time limit exceeded
17 Halted 0 ms 0 KB -

Subtask #5
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3028 KB Output is correct
2 Correct 2 ms 3080 KB Output is correct
3 Correct 2 ms 3028 KB Output is correct
4 Correct 2 ms 3028 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct
6 Correct 2 ms 3072 KB Output is correct
7 Correct 2 ms 3076 KB Output is correct
8 Correct 2 ms 3028 KB Output is correct
9 Correct 2 ms 3072 KB Output is correct
10 Correct 2 ms 3028 KB Output is correct
11 Correct 14 ms 4268 KB Output is correct
12 Correct 13 ms 4228 KB Output is correct
13 Correct 13 ms 4228 KB Output is correct
14 Correct 13 ms 4180 KB Output is correct
15 Correct 12 ms 4160 KB Output is correct
16 Execution timed out 1082 ms 111088 KB Time limit exceeded
17 Halted 0 ms 0 KB -