| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 967246 |
2024-04-21T15:40:19 Z |
Requiem |
Vrtić (COCI18_vrtic) |
C++17 |
|
2000 ms |
189788 KB |
#include<bits/stdc++.h>
//#define int long long
#define ll long long
#define pb push_back
#define fast ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
#define MOD 50000007
#define INF 1e18
#define fi first
#define se second
#define FOR(i,a,b) for(int i=a;i<=b;i++)
#define FORD(i,a,b) for(int i=a;i>=b;i--)
#define sz(a) ((int)(a).size())
#define endl '\n'
#define pi 3.14159265359
#define TASKNAME "vrtic"
template<typename T> bool maximize(T &res, const T &val) { if (res < val){ res = val; return true; }; return false; }
template<typename T> bool minimize(T &res, const T &val) { if (res > val){ res = val; return true; }; return false; }
using namespace std;
typedef pair<int,int> ii;
typedef pair<int,ii> iii;
typedef vector<int> vi;
const int MAXN = 153;
int n;
int best_friend[MAXN], bag_of_candy[MAXN];
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
struct chash {
// any random-ish large odd number will do
const uint64_t C = uint64_t(2e18 * pi) + 71;
// random 32-bit number
const uint32_t RANDOM =
chrono::steady_clock::now().time_since_epoch().count();
size_t operator()(uint64_t x) const {
// see https://gcc.gnu.org/onlinedocs/gcc/Other-Builtins.html
return __builtin_bswap64((x ^ RANDOM) * C);
}
};
template <class K, class V> using cmap = unordered_map<K, V, chash>;
namespace subtask1{
bool checkSubtask1(){
for(int i = 1; i <= n; i++){
if (best_friend[i] != i % n + 1) return false;
}
return true;
}
int arr[MAXN];
void solveSubtask1(){
int res = 0, splitting_point = 0;
sort(bag_of_candy + 1, bag_of_candy + 1 + n);
int cur = 0;
for(int i = 3; i <= n; i++){
maximize(res, abs(bag_of_candy[i] - bag_of_candy[i - 2]));
}
cout << res << endl;
for(int i = 1; i <= n; i += 2){
cout << bag_of_candy[i] << ' ';
}
for(int i = n - (n & 1); i > 0; i -= 2){
cout << bag_of_candy[i] << ' ';
}
cout << endl;
}
}
namespace subtask2{ //not usable yet
bool checkSubtask2(){
return n <= 20;
}
int MinDistriRange[MAXN][MAXN], ok[MAXN], answer[MAXN];
vector<vector<int>> Listcycle;
vector<ii> Nxtmask;
int dp[21][(1 << 20)], trace[21][(1 << 20)];
void prep(){
sort(bag_of_candy + 1, bag_of_candy + 1 + n);
for(int i = 1; i <= n; i++){
for(int j = i; j <= n; j++){
int length = j - i + 1;
if (length == 1) MinDistriRange[i][j] = 0;
else if (length == 2) MinDistriRange[i][j] = abs(bag_of_candy[j] - bag_of_candy[i]);
else {
for(int k = i + 2; k <= j; k++){
maximize(MinDistriRange[i][j], abs(bag_of_candy[k] - bag_of_candy[k - 2]) );
}
}
}
}
}
void AssignPermutation(int pos, int msk){
if (pos == 0) return;
int taken = trace[pos][msk];
int numbit = __builtin_popcount(taken);
vector<int> arr;
vector<int> ans;
for(int i = 0; i < n; i++){
if (taken & (1 << i)) arr.pb(bag_of_candy[i + 1]);
}
for(int i = 0; i < numbit; i += 2){
ans.pb(arr[i]);
}
for(int i = numbit - 1 - !((numbit - 1)&1); i >= 0; i -= 2){
ans.pb(arr[i]);
}
for(int i = 0; i < Listcycle[pos - 1].size(); i++){
answer[Listcycle[pos - 1][i]] = ans[i];
}
AssignPermutation(pos - 1, msk ^ taken);
}
void solveSubtask2(){
prep();
memset(ok, 0, sizeof(ok));
int numcycle = 0;
for(int i = 1; i <= n; i++){
if (ok[i]) continue;
vector<int> oneCycle;
numcycle++;
for(int j = i; !ok[j] ; j = best_friend[j]){
oneCycle.pb(j);
ok[j] = 1;
}
Listcycle.pb(oneCycle);
}
memset(dp, 0x3f, sizeof(dp));
sort(Listcycle.begin(), Listcycle.end(), [&](const vector<int> &a, const vector<int> &b){
return a.size() > b.size();
});
queue<array<int, 3>> q;
q.push({0, 0, 0});
dp[0][0] = 0;
int sz = 0;
while(!q.empty()){
int du = q.front()[0];
int pos = q.front()[1];
int msk = q.front()[2];
int testmsk = 0;
q.pop();
if (du > dp[pos][msk] or pos == (int) Listcycle.size()) continue;
int sz = Listcycle[pos].size();
for(int i = 0; i < sz; i++){
testmsk <<= 1;
testmsk++;
}
// cout << sz << ' ' << testmsk << endl;
for(int j = 0; j < n + 1 - sz; j++){
if (((testmsk << j) & msk) == 0) {
if (minimize(dp[pos + 1][msk ^ (testmsk << j)], max(du, MinDistriRange[j + 1][j + sz]))){
q.push({dp[pos + 1][msk ^ (testmsk << j)], pos + 1, msk ^ (testmsk << j) });
trace[pos + 1][msk ^ (testmsk << j)] = (testmsk << j);
}
}
}
}
cout << dp[Listcycle.size()][(1 << n) - 1] << endl;
AssignPermutation(Listcycle.size(), (1 << n) - 1);
for(int i = 1; i <= n; i++){
cout << answer[i] << ' ';
}
cout << endl;
}
}
namespace subtask3{
int MinDistriRange[MAXN][MAXN], ok[MAXN], answer[MAXN], ptr[MAXN];
vector<vector<int>> Listcycle;
vector<vector<int>> cycle[MAXN];
vector<int> range[MAXN][MAXN];
void prep(){
sort(bag_of_candy + 1, bag_of_candy + 1 + n);
for(int i = 1; i <= n; i++){
for(int j = i; j <= n; j++){
int length = j - i + 1;
if (length == 1) MinDistriRange[i][j] = 0;
else if (length == 2) MinDistriRange[i][j] = abs(bag_of_candy[j] - bag_of_candy[i]);
else {
for(int k = i + 2; k <= j; k++){
maximize(MinDistriRange[i][j], abs(bag_of_candy[k] - bag_of_candy[k - 2]) );
}
}
vector<int> arr;
vector<int> ans;
for(int k = i; k <= j; k++){
arr.pb(bag_of_candy[k]);
}
for(int i = 0; i < length; i += 2){
ans.pb(arr[i]);
}
for(int i = length - 1 - !((length - 1) & 1); i >= 0; i -= 2){
ans.pb(arr[i]);
}
range[i][j] = ans;
}
}
}
gp_hash_table<ll, ll, chash> dp;
vector<ii> FreqCycle;
const int base = 113;
int POW[MAXN], originalHash = 0;
void calcPow(){
POW[0] = 1;
for(int i = 1; i <= 16; i++){
POW[i] = (1LL * POW[i - 1] * base) % MOD;
}
}
void extractCycle(){
memset(ok, 0, sizeof(ok));
map<int, int> tmp;
for(int i = 1; i <= n; i++){
if(ok[i]) continue;
vector<int> onecycle;
for(int j = i; !ok[j]; j = best_friend[j]){
onecycle.pb(j);
ok[j] = true;
}
cycle[(int)onecycle.size()].pb(onecycle);
tmp[onecycle.size()]++;
}
for(auto x: tmp) {
FreqCycle.pb({x.fi, x.se});
}
reverse(FreqCycle.begin(), FreqCycle.end());
for(int i = 0; i < FreqCycle.size(); i++){
// cout << FreqCycle[i].fi << ' ' << FreqCycle[i].se << endl;
originalHash = 1LL * (1LL * originalHash + 1LL * POW[i] * FreqCycle[i].se) % MOD;
}
}
vector<int> ord;
vector<ii> TempCycle;
bool dfs(int p, int state, int lim, bool traceback){
if (dp.find(state) != dp.end()) return false;
dp[state] = 1;
// cout << p << ' ' << ' ' << state << ' ' << lim << ' ' << traceback << endl;
if (p == n) {
return true;
}
for(int i = 0; i < TempCycle.size(); i++){
ii &chosenCycle = TempCycle[i];
if (chosenCycle.se == 0 or MinDistriRange[p + 1][p + chosenCycle.fi] > lim) continue;
int nxtHash = ((1LL * state - 1LL * POW[i]) % MOD + MOD) % MOD;
chosenCycle.se--;
ord.pb(chosenCycle.fi);
// cout << p << ' ' << chosenCycle.fi << ' ' << ord.back() << endl;
if (dfs(p + chosenCycle.fi, nxtHash, lim, traceback)) return true;
chosenCycle.se++;
ord.pop_back();
}
return false;
}
bool check(int mid){
ord.clear();
dp.clear();
TempCycle = FreqCycle;
return dfs(0, originalHash, mid, 0);
}
void solveSubtask3(){
calcPow();
prep();
extractCycle();
// cout << originalHash << endl;
int l = 0, r = 1e9, res = 0;
while(l <= r){
int mid = (l + r) >> 1;
if (check(mid)){
res = mid;
r = mid - 1;
}
else l = mid + 1;
}
int start = 0;
check(res);
for(int i = 0; i < ord.size(); i++){
int x = ord[i];
// cout << start + 1 << ' ' << start + x << endl;
// for(auto x: range[start + 1][start + x]){
// cout << x << ' ';
// }
// cout << endl;
for(int j = 0; j < cycle[x][ptr[x]].size(); j++){
answer[cycle[x][ptr[x]][j]] = range[start + 1][start + x][j];
}
ptr[x]++;
start += x;
}
cout << res << endl;
for(int i = 1; i <= n; i++){
cout << answer[i] << ' ';
}
cout << endl;
}
}
main()
{
fast;
if (fopen(TASKNAME".inp","r")){
freopen(TASKNAME".inp","r",stdin);
freopen(TASKNAME".out","w",stdout);
}
cin >> n;
for(int i = 1; i <= n; i++){
cin >> best_friend[i];
}
for(int i = 1; i <= n; i++){
cin >> bag_of_candy[i];
}
// if (subtask1::checkSubtask1()) return subtask1::solveSubtask1(), 0;
// if (subtask2::checkSubtask2()) return subtask2::solveSubtask2(), 0;
return subtask3::solveSubtask3(), 0;
}
/**
Warning:
- MLE / TLE?
- Gioi han mang?
- Gia tri max phai luon gan cho -INF
- long long co can thiet khong?
- tran mang.
- code can than hon
- Nho sinh test de tranh RTE / TLE
--> Coi lai truoc khi nop
**/
Compilation message
vrtic.cpp: In function 'void subtask1::solveSubtask1()':
vrtic.cpp:51:22: warning: unused variable 'splitting_point' [-Wunused-variable]
51 | int res = 0, splitting_point = 0;
| ^~~~~~~~~~~~~~~
vrtic.cpp:53:13: warning: unused variable 'cur' [-Wunused-variable]
53 | int cur = 0;
| ^~~
vrtic.cpp: In function 'void subtask2::AssignPermutation(int, int)':
vrtic.cpp:113:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
113 | for(int i = 0; i < Listcycle[pos - 1].size(); i++){
| ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
vrtic.cpp: In function 'void subtask2::solveSubtask2()':
vrtic.cpp:140:13: warning: unused variable 'sz' [-Wunused-variable]
140 | int sz = 0;
| ^~
vrtic.cpp: In function 'void subtask3::extractCycle()':
vrtic.cpp:239:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
239 | for(int i = 0; i < FreqCycle.size(); i++){
| ~~^~~~~~~~~~~~~~~~~~
vrtic.cpp: In function 'bool subtask3::dfs(int, int, int, bool)':
vrtic.cpp:255:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
255 | for(int i = 0; i < TempCycle.size(); i++){
| ~~^~~~~~~~~~~~~~~~~~
vrtic.cpp: In function 'void subtask3::solveSubtask3()':
vrtic.cpp:291:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
291 | for(int i = 0; i < ord.size(); i++){
| ~~^~~~~~~~~~~~
vrtic.cpp:298:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
298 | for(int j = 0; j < cycle[x][ptr[x]].size(); j++){
| ~~^~~~~~~~~~~~~~~~~~~~~~~~~
vrtic.cpp: At global scope:
vrtic.cpp:313:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
313 | main()
| ^~~~
vrtic.cpp: In function 'int main()':
vrtic.cpp:317:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
317 | freopen(TASKNAME".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
vrtic.cpp:318:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
318 | freopen(TASKNAME".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2652 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
8 ms |
4956 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2652 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
2652 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2652 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
3672 KB |
Output is correct |
| 2 |
Correct |
41 ms |
9416 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
29 ms |
6976 KB |
Output is correct |
| 2 |
Correct |
132 ms |
28724 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
15 ms |
5612 KB |
Output is correct |
| 2 |
Correct |
433 ms |
52920 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
26 ms |
8032 KB |
Output is correct |
| 2 |
Correct |
841 ms |
100448 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
27 ms |
8128 KB |
Output is correct |
| 2 |
Execution timed out |
2066 ms |
189788 KB |
Time limit exceeded |
| 3 |
Halted |
0 ms |
0 KB |
- |
