#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int,int>
#define pb push_back
#define pf push_front
#define mp make_pair
#define all(x) (x).begin(),(x).end()
#define endl "\n"
#define in(x) cin >> x
#define ini(x) int x; in(x)
#define instr(x) string x; in(x)
#define inf 1e18
int bruteforce2(int idx, vector<int> &vec, vector<vector<int>> &subsequences, int max_val) {
if (idx == vec.size()) {
for (auto i : subsequences) {
vector<int> vec_reconstruction(max_val+1);
for (int j : i) {
vec_reconstruction[j]++;
}
bool found_leader = false;
for (int j : vec_reconstruction) {
if (j > i.size() / 2) {
found_leader = true;
break;
}
}
if (!found_leader) {
return INT_MAX;
}
}
return subsequences.size();
}
int min_val = INT_MAX;
for (int i = 0; i < subsequences.size(); i++) {
vector<vector<int>> subsequences_cp = subsequences;
subsequences_cp[i].pb(vec[idx]);
min_val = min(min_val,bruteforce2(idx+1,vec,subsequences_cp,max_val));
}
return min_val;
}
int bruteforce(vector<int> &vec) {
vector<int> actual_vec;
for (int i = 0; i < vec.size(); i++) {
for (int j = 0; j < vec[i]; j++) {
actual_vec.pb(i);
}
}
int min_val = INT_MAX;
for (int i = 1; i <= vec.size(); i++) {
vector<vector<int>> subsequences(i);
min_val = min(min_val,bruteforce2(0,actual_vec,subsequences,vec.size()));
}
return min_val;
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
srand(time(NULL));
ini(n);
//int n = rand() % 5 + 1;
vector<int> vec(n);
for (int i = 0; i < n; i++) {
ini(a);
//int a = rand() % n + 1;
a--;
vec[a]++;
}
vector<int> original = vec;
//int brute_res = bruteforce(vec);
// sortujemy elementy różnych wag
sort(all(vec),greater<int>());
int l = 0;
int r = n-1;
for (; l < r; l++) {
int can_throw = vec[l]-1;
while (can_throw - vec[r] > 0) {
can_throw -= vec[r];
vec[r] = 0;
r--;
}
vec[r] -= can_throw;
}
int res = 0;
for (int i : vec) {
if (i != 0) res++;
}
/*if (res != brute_res) {
int test = 0;
}*/
cout << res << endl;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 | #include <bits/stdc++.h> using namespace std; #define int long long #define pii pair<int,int> #define pb push_back #define pf push_front #define mp make_pair #define all(x) (x).begin(),(x).end() #define endl "\n" #define in(x) cin >> x #define ini(x) int x; in(x) #define instr(x) string x; in(x) #define inf 1e18 int bruteforce2(int idx, vector<int> &vec, vector<vector<int>> &subsequences, int max_val) { if (idx == vec.size()) { for (auto i : subsequences) { vector<int> vec_reconstruction(max_val+1); for (int j : i) { vec_reconstruction[j]++; } bool found_leader = false; for (int j : vec_reconstruction) { if (j > i.size() / 2) { found_leader = true; break; } } if (!found_leader) { return INT_MAX; } } return subsequences.size(); } int min_val = INT_MAX; for (int i = 0; i < subsequences.size(); i++) { vector<vector<int>> subsequences_cp = subsequences; subsequences_cp[i].pb(vec[idx]); min_val = min(min_val,bruteforce2(idx+1,vec,subsequences_cp,max_val)); } return min_val; } int bruteforce(vector<int> &vec) { vector<int> actual_vec; for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i]; j++) { actual_vec.pb(i); } } int min_val = INT_MAX; for (int i = 1; i <= vec.size(); i++) { vector<vector<int>> subsequences(i); min_val = min(min_val,bruteforce2(0,actual_vec,subsequences,vec.size())); } return min_val; } signed main() { ios_base::sync_with_stdio(false); cin.tie(0); srand(time(NULL)); ini(n); //int n = rand() % 5 + 1; vector<int> vec(n); for (int i = 0; i < n; i++) { ini(a); //int a = rand() % n + 1; a--; vec[a]++; } vector<int> original = vec; //int brute_res = bruteforce(vec); // sortujemy elementy różnych wag sort(all(vec),greater<int>()); int l = 0; int r = n-1; for (; l < r; l++) { int can_throw = vec[l]-1; while (can_throw - vec[r] > 0) { can_throw -= vec[r]; vec[r] = 0; r--; } vec[r] -= can_throw; } int res = 0; for (int i : vec) { if (i != 0) res++; } /*if (res != brute_res) { int test = 0; }*/ cout << res << endl; } |
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