// 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)) {
| ^
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
- |