oj.uz

Submission #790545

# Submission time Handle Problem Language Result Execution time Memory
790545 2023-07-22T20:27:46 Z CSQ31 Diversity (CEOI21_diversity) C++17
22 / 100
 39 ms 2104 KB 
#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define fi first
#define se second
#define sz(a) (int)(a.size())
#define all(a) a.begin(),a.end()
#define lb lower_bound
#define ub upper_bound
#define owo ios_base::sync_with_stdio(0);cin.tie(0);
#define debug(...) fprintf(stderr, __VA_ARGS__),fflush(stderr)
#define time__(d) for(long blockTime = 0; (blockTime == 0 ? (blockTime=clock()) != 0 : false);\
debug("%s time : %.4fs\n", d, (double)(clock() - blockTime) / CLOCKS_PER_SEC))
//typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef vector<vector<int>> vii;
const int MAXN = 3e5+5,blk = 450;
int a[MAXN];
struct que{
	int l,r,id;
	que(){}
	que(int _l,int _r,int _id):l(_l),r(_r),id(_id){}
	bool operator<(const que &q){
		if((l+blk-1)/blk &1)return make_pair((l+blk-1)/blk,r) < make_pair((q.l+blk-1)/blk,q.r);
		return make_pair((l+blk-1)/blk,-r) < make_pair((q.l+blk-1)/blk,-q.r);
	}
};
int cnt[MAXN],freq[MAXN];
set<int>s;
void add(int x,int c){
	if(freq[cnt[x]] == 1)s.erase(cnt[x]);
	freq[cnt[x]]--;
	cnt[x]+=c;
	freq[cnt[x]]++;
	if(freq[cnt[x]] == 1)s.insert(cnt[x]);
}
typedef __int128 ll;
ll cal(ll n){
	vector<ll>v;
	ll T = 0;
	for(int x:s){
		v.pb(x);
		T+=freq[x];
	}
	int t = sz(v);
	vector<int>in(t,0);
	//ans = 1/2(T*n*n + n - sum of squares)
	//for(int x:v)cout<<x<<" ";cout<<'\n';
	//for(int x:v)cout<<freq[x]<<" ";cout<<'\n';
	ll res = 0,cur = 0;
	for(int i=1;i<t;i++){
		in[i] = in[i-1]+(freq[v[i]]&1);
		in[i]%=2;
	}
	//S = (cur+v)^2 + (cur+2v)^2 + ... + (cur+xv)^2
	//  = x*cur*cur - 2cur*v(1+2+...+x) + v^2(1^2+2^2+3^2...x2);
	
	//(n-cur-v)^2 + (n-cur-2v)^2 + ... + (n-cur-xv)^2;
	//= x*n*n - 2*n( x*cur + v+2v+3v..+xv) + S
	vector<ll>tmp;
	for(int i=0;i<t;i++){
		ll x = (freq[v[i]]+1)/2  - in[i];
		/*
		ll y = x*(x+1)/2;
		ll z = (x*(x+1)*(2*x+1))/6;
		
		ll S = 0;
		S+=x*cur*cur;
		S+=2*cur*v[i]*y;
		S+=v[i]*v[i]*z;
		res-=x*n*n;
		res+=2*n*( x*cur + y*v[i]);
		res-=2*S;
		cur+=x*v[i];*/
		for(int j=0;j<x;j++)tmp.pb(v[i]);
	}
	for(int i=t-1;i>=0;i--){
		ll x = (freq[v[i]]+1)/2  - in[i];
		x = freq[v[i]]-x;
		/*
		ll y = x*(x+1)/2;
		ll z = (x*(x+1)*(2*x+1))/6;
		
		ll S = 0;
		S+=x*cur*cur;
		S+=2*cur*v[i]*y;
		S+=v[i]*v[i]*z;
		assert(S>=0);
		res-=x*n*n;
		res+=2*n*( x*cur + y*v[i]);
		res-=2*S;
		cur+=x*v[i];
		* */
		for(int j=0;j<x;j++)tmp.pb(v[i]);
	}
	for(ll x:tmp){
		cur+=x;
		res-=cur*cur;
		res-=(n-cur)*(n-cur);
	}
	res+=T*n*n+n;
	res+=n*n;
	return res/2;
}
int main()
{
	owo
	int n,q;
	cin>>n>>q;
	for(int i=1;i<=n;i++)cin>>a[i];
	vector<que>qq(q);
	for(int i=0;i<q;i++){
		int l,r;
		cin>>l>>r;
		qq[i] = que(l,r,i);
	}
	sort(all(qq));
	vector<ll>ans(q);
	int L = 1,R = 0;
	for(int i=0;i<q;i++){
		int l = qq[i].l;
		int r = qq[i].r;
		while(L>l){
			L--;
			add(a[L],1);
		}
		while(L<l){
			add(a[L],-1);
			L++;
		}
		while(R<r){
			R++;
			add(a[R],1);
		}
		while(R>r){
			add(a[R],-1);
			R--;
		}
		//cout<<"TES"<<'\n';
		ans[qq[i].id] = cal(r-l+1);		
	}
	for(int i=0;i<q;i++){
		long long int x = ans[i];
		cout<<x<<'\n';
	}
	
	
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 340 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 10 ms 724 KB Output is correct
5 Correct 21 ms 1344 KB Output is correct
6 Correct 31 ms 1632 KB Output is correct
7 Correct 30 ms 2104 KB Output is correct
8 Correct 31 ms 1636 KB Output is correct
9 Correct 31 ms 1596 KB Output is correct
10 Correct 32 ms 1820 KB Output is correct
11 Correct 31 ms 1748 KB Output is correct
12 Correct 33 ms 1684 KB Output is correct
13 Correct 31 ms 1612 KB Output is correct
14 Correct 31 ms 1708 KB Output is correct
15 Correct 31 ms 1708 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 10 ms 724 KB Output is correct
5 Correct 21 ms 1344 KB Output is correct
6 Correct 31 ms 1632 KB Output is correct
7 Correct 30 ms 2104 KB Output is correct
8 Correct 31 ms 1636 KB Output is correct
9 Correct 31 ms 1596 KB Output is correct
10 Correct 32 ms 1820 KB Output is correct
11 Correct 31 ms 1748 KB Output is correct
12 Correct 33 ms 1684 KB Output is correct
13 Correct 31 ms 1612 KB Output is correct
14 Correct 31 ms 1708 KB Output is correct
15 Correct 31 ms 1708 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 12 ms 748 KB Output is correct
20 Correct 24 ms 1120 KB Output is correct
21 Correct 39 ms 1684 KB Output is correct
22 Correct 36 ms 1640 KB Output is correct
23 Correct 36 ms 1636 KB Output is correct
24 Correct 38 ms 1616 KB Output is correct
25 Correct 37 ms 1604 KB Output is correct
26 Correct 36 ms 1568 KB Output is correct
27 Correct 36 ms 1636 KB Output is correct
28 Correct 35 ms 1748 KB Output is correct
29 Correct 36 ms 1620 KB Output is correct
30 Correct 36 ms 1628 KB Output is correct

Subtask #4
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 10 ms 724 KB Output is correct
5 Correct 21 ms 1344 KB Output is correct
6 Correct 31 ms 1632 KB Output is correct
7 Correct 30 ms 2104 KB Output is correct
8 Correct 31 ms 1636 KB Output is correct
9 Correct 31 ms 1596 KB Output is correct
10 Correct 32 ms 1820 KB Output is correct
11 Correct 31 ms 1748 KB Output is correct
12 Correct 33 ms 1684 KB Output is correct
13 Correct 31 ms 1612 KB Output is correct
14 Correct 31 ms 1708 KB Output is correct
15 Correct 31 ms 1708 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 12 ms 748 KB Output is correct
20 Correct 24 ms 1120 KB Output is correct
21 Correct 39 ms 1684 KB Output is correct
22 Correct 36 ms 1640 KB Output is correct
23 Correct 36 ms 1636 KB Output is correct
24 Correct 38 ms 1616 KB Output is correct
25 Correct 37 ms 1604 KB Output is correct
26 Correct 36 ms 1568 KB Output is correct
27 Correct 36 ms 1636 KB Output is correct
28 Correct 35 ms 1748 KB Output is correct
29 Correct 36 ms 1620 KB Output is correct
30 Correct 36 ms 1628 KB Output is correct
31 Incorrect 0 ms 340 KB Output isn't correct
32 Halted 0 ms 0 KB -

Subtask #5
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 10 ms 724 KB Output is correct
15 Correct 21 ms 1344 KB Output is correct
16 Correct 31 ms 1632 KB Output is correct
17 Correct 30 ms 2104 KB Output is correct
18 Correct 31 ms 1636 KB Output is correct
19 Correct 31 ms 1596 KB Output is correct
20 Correct 32 ms 1820 KB Output is correct
21 Correct 31 ms 1748 KB Output is correct
22 Correct 33 ms 1684 KB Output is correct
23 Correct 31 ms 1612 KB Output is correct
24 Correct 31 ms 1708 KB Output is correct
25 Correct 31 ms 1708 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 12 ms 748 KB Output is correct
30 Correct 24 ms 1120 KB Output is correct
31 Correct 39 ms 1684 KB Output is correct
32 Correct 36 ms 1640 KB Output is correct
33 Correct 36 ms 1636 KB Output is correct
34 Correct 38 ms 1616 KB Output is correct
35 Correct 37 ms 1604 KB Output is correct
36 Correct 36 ms 1568 KB Output is correct
37 Correct 36 ms 1636 KB Output is correct
38 Correct 35 ms 1748 KB Output is correct
39 Correct 36 ms 1620 KB Output is correct
40 Correct 36 ms 1628 KB Output is correct
41 Incorrect 0 ms 340 KB Output isn't correct
42 Halted 0 ms 0 KB -

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 10 ms 724 KB Output is correct
15 Correct 21 ms 1344 KB Output is correct
16 Correct 31 ms 1632 KB Output is correct
17 Correct 30 ms 2104 KB Output is correct
18 Correct 31 ms 1636 KB Output is correct
19 Correct 31 ms 1596 KB Output is correct
20 Correct 32 ms 1820 KB Output is correct
21 Correct 31 ms 1748 KB Output is correct
22 Correct 33 ms 1684 KB Output is correct
23 Correct 31 ms 1612 KB Output is correct
24 Correct 31 ms 1708 KB Output is correct
25 Correct 31 ms 1708 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 12 ms 748 KB Output is correct
30 Correct 24 ms 1120 KB Output is correct
31 Correct 39 ms 1684 KB Output is correct
32 Correct 36 ms 1640 KB Output is correct
33 Correct 36 ms 1636 KB Output is correct
34 Correct 38 ms 1616 KB Output is correct
35 Correct 37 ms 1604 KB Output is correct
36 Correct 36 ms 1568 KB Output is correct
37 Correct 36 ms 1636 KB Output is correct
38 Correct 35 ms 1748 KB Output is correct
39 Correct 36 ms 1620 KB Output is correct
40 Correct 36 ms 1628 KB Output is correct
41 Incorrect 0 ms 340 KB Output isn't correct
42 Halted 0 ms 0 KB -