oj.uz

Submission #741424

# Submission time Handle Problem Language Result Execution time Memory
741424 2023-05-14T04:58:58 Z GrindMachine Swap (BOI16_swap) C++17
68 / 100
 725 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;
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;

    vector<int> res;

    if (j < a[l] and j < a[r]) {
        // no swaps
        res = merge(j, go(l, a[l]), go(r, a[r]));
    }
    else if (a[l] < j and a[l] < a[r]) {
        // swap root with left
        res = merge(a[l], go(l, j), go(r, a[r]));
    }
    else {
        // swap root with right
        auto v1 = merge(a[r], go(l, a[l]), go(r, j));

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

        res = min(v1, v2);
    }

    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 6 ms 11220 KB Output is correct
2 Correct 6 ms 11220 KB Output is correct
3 Correct 6 ms 11220 KB Output is correct
4 Correct 5 ms 11220 KB Output is correct
5 Correct 5 ms 11224 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 11220 KB Output is correct
2 Correct 6 ms 11220 KB Output is correct
3 Correct 6 ms 11220 KB Output is correct
4 Correct 5 ms 11220 KB Output is correct
5 Correct 5 ms 11224 KB Output is correct
6 Correct 6 ms 11220 KB Output is correct
7 Correct 6 ms 11220 KB Output is correct
8 Correct 6 ms 11220 KB Output is correct
9 Correct 5 ms 11220 KB Output is correct
10 Correct 7 ms 11192 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 11220 KB Output is correct
2 Correct 6 ms 11220 KB Output is correct
3 Correct 6 ms 11220 KB Output is correct
4 Correct 5 ms 11220 KB Output is correct
5 Correct 5 ms 11224 KB Output is correct
6 Correct 6 ms 11220 KB Output is correct
7 Correct 6 ms 11220 KB Output is correct
8 Correct 6 ms 11220 KB Output is correct
9 Correct 5 ms 11220 KB Output is correct
10 Correct 7 ms 11192 KB Output is correct
11 Correct 7 ms 11988 KB Output is correct
12 Correct 8 ms 11988 KB Output is correct
13 Correct 7 ms 11860 KB Output is correct
14 Correct 10 ms 12244 KB Output is correct
15 Correct 12 ms 12244 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 11220 KB Output is correct
2 Correct 6 ms 11220 KB Output is correct
3 Correct 6 ms 11220 KB Output is correct
4 Correct 5 ms 11220 KB Output is correct
5 Correct 5 ms 11224 KB Output is correct
6 Correct 6 ms 11220 KB Output is correct
7 Correct 6 ms 11220 KB Output is correct
8 Correct 6 ms 11220 KB Output is correct
9 Correct 5 ms 11220 KB Output is correct
10 Correct 7 ms 11192 KB Output is correct
11 Correct 7 ms 11988 KB Output is correct
12 Correct 8 ms 11988 KB Output is correct
13 Correct 7 ms 11860 KB Output is correct
14 Correct 10 ms 12244 KB Output is correct
15 Correct 12 ms 12244 KB Output is correct
16 Correct 164 ms 68188 KB Output is correct
17 Correct 178 ms 67840 KB Output is correct
18 Correct 163 ms 68260 KB Output is correct
19 Correct 390 ms 99292 KB Output is correct
20 Correct 389 ms 99032 KB Output is correct

Subtask #5
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 11220 KB Output is correct
2 Correct 6 ms 11220 KB Output is correct
3 Correct 6 ms 11220 KB Output is correct
4 Correct 5 ms 11220 KB Output is correct
5 Correct 5 ms 11224 KB Output is correct
6 Correct 6 ms 11220 KB Output is correct
7 Correct 6 ms 11220 KB Output is correct
8 Correct 6 ms 11220 KB Output is correct
9 Correct 5 ms 11220 KB Output is correct
10 Correct 7 ms 11192 KB Output is correct
11 Correct 7 ms 11988 KB Output is correct
12 Correct 8 ms 11988 KB Output is correct
13 Correct 7 ms 11860 KB Output is correct
14 Correct 10 ms 12244 KB Output is correct
15 Correct 12 ms 12244 KB Output is correct
16 Correct 164 ms 68188 KB Output is correct
17 Correct 178 ms 67840 KB Output is correct
18 Correct 163 ms 68260 KB Output is correct
19 Correct 390 ms 99292 KB Output is correct
20 Correct 389 ms 99032 KB Output is correct
21 Correct 725 ms 262144 KB Output is correct
22 Correct 705 ms 262144 KB Output is correct
23 Runtime error 626 ms 262144 KB Execution killed with signal 9
24 Halted 0 ms 0 KB -