oj.uz

Submission #790541

# Submission time Handle Problem Language Result Execution time Memory
790541 2023-07-22T20:15:51 Z CSQ31 Diversity (CEOI21_diversity) C++17
22 / 100
 40 ms 2052 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<ll,ll> PII;
typedef pair<int,int> pii;
typedef vector<vector<int>> vii;
typedef vector<vector<ll>> VII;
ll gcd(ll a,ll b){if(!b)return a;else return gcd(b,a%b);}
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]);
}
ll cal(ll n){
	vector<ll>v;
	int 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 = T*1LL*n*1LL*n + n,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
	
	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 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];
	}
	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++)cout<<ans[i]<<'\n';
	
	
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 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 212 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 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 10 ms 756 KB Output is correct
5 Correct 20 ms 1384 KB Output is correct
6 Correct 33 ms 1612 KB Output is correct
7 Correct 30 ms 2052 KB Output is correct
8 Correct 33 ms 1676 KB Output is correct
9 Correct 37 ms 1664 KB Output is correct
10 Correct 32 ms 1892 KB Output is correct
11 Correct 32 ms 1736 KB Output is correct
12 Correct 33 ms 1620 KB Output is correct
13 Correct 32 ms 1620 KB Output is correct
14 Correct 32 ms 1740 KB Output is correct
15 Correct 31 ms 1748 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 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 10 ms 756 KB Output is correct
5 Correct 20 ms 1384 KB Output is correct
6 Correct 33 ms 1612 KB Output is correct
7 Correct 30 ms 2052 KB Output is correct
8 Correct 33 ms 1676 KB Output is correct
9 Correct 37 ms 1664 KB Output is correct
10 Correct 32 ms 1892 KB Output is correct
11 Correct 32 ms 1736 KB Output is correct
12 Correct 33 ms 1620 KB Output is correct
13 Correct 32 ms 1620 KB Output is correct
14 Correct 32 ms 1740 KB Output is correct
15 Correct 31 ms 1748 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 12 ms 772 KB Output is correct
20 Correct 25 ms 1124 KB Output is correct
21 Correct 36 ms 1708 KB Output is correct
22 Correct 37 ms 1524 KB Output is correct
23 Correct 37 ms 1696 KB Output is correct
24 Correct 38 ms 1624 KB Output is correct
25 Correct 40 ms 1716 KB Output is correct
26 Correct 37 ms 1520 KB Output is correct
27 Correct 37 ms 1576 KB Output is correct
28 Correct 36 ms 1700 KB Output is correct
29 Correct 37 ms 1588 KB Output is correct
30 Correct 37 ms 1620 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 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 10 ms 756 KB Output is correct
5 Correct 20 ms 1384 KB Output is correct
6 Correct 33 ms 1612 KB Output is correct
7 Correct 30 ms 2052 KB Output is correct
8 Correct 33 ms 1676 KB Output is correct
9 Correct 37 ms 1664 KB Output is correct
10 Correct 32 ms 1892 KB Output is correct
11 Correct 32 ms 1736 KB Output is correct
12 Correct 33 ms 1620 KB Output is correct
13 Correct 32 ms 1620 KB Output is correct
14 Correct 32 ms 1740 KB Output is correct
15 Correct 31 ms 1748 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 12 ms 772 KB Output is correct
20 Correct 25 ms 1124 KB Output is correct
21 Correct 36 ms 1708 KB Output is correct
22 Correct 37 ms 1524 KB Output is correct
23 Correct 37 ms 1696 KB Output is correct
24 Correct 38 ms 1624 KB Output is correct
25 Correct 40 ms 1716 KB Output is correct
26 Correct 37 ms 1520 KB Output is correct
27 Correct 37 ms 1576 KB Output is correct
28 Correct 36 ms 1700 KB Output is correct
29 Correct 37 ms 1588 KB Output is correct
30 Correct 37 ms 1620 KB Output is correct
31 Incorrect 1 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 0 ms 212 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 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 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 10 ms 756 KB Output is correct
15 Correct 20 ms 1384 KB Output is correct
16 Correct 33 ms 1612 KB Output is correct
17 Correct 30 ms 2052 KB Output is correct
18 Correct 33 ms 1676 KB Output is correct
19 Correct 37 ms 1664 KB Output is correct
20 Correct 32 ms 1892 KB Output is correct
21 Correct 32 ms 1736 KB Output is correct
22 Correct 33 ms 1620 KB Output is correct
23 Correct 32 ms 1620 KB Output is correct
24 Correct 32 ms 1740 KB Output is correct
25 Correct 31 ms 1748 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 12 ms 772 KB Output is correct
30 Correct 25 ms 1124 KB Output is correct
31 Correct 36 ms 1708 KB Output is correct
32 Correct 37 ms 1524 KB Output is correct
33 Correct 37 ms 1696 KB Output is correct
34 Correct 38 ms 1624 KB Output is correct
35 Correct 40 ms 1716 KB Output is correct
36 Correct 37 ms 1520 KB Output is correct
37 Correct 37 ms 1576 KB Output is correct
38 Correct 36 ms 1700 KB Output is correct
39 Correct 37 ms 1588 KB Output is correct
40 Correct 37 ms 1620 KB Output is correct
41 Incorrect 1 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 0 ms 212 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 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 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 10 ms 756 KB Output is correct
15 Correct 20 ms 1384 KB Output is correct
16 Correct 33 ms 1612 KB Output is correct
17 Correct 30 ms 2052 KB Output is correct
18 Correct 33 ms 1676 KB Output is correct
19 Correct 37 ms 1664 KB Output is correct
20 Correct 32 ms 1892 KB Output is correct
21 Correct 32 ms 1736 KB Output is correct
22 Correct 33 ms 1620 KB Output is correct
23 Correct 32 ms 1620 KB Output is correct
24 Correct 32 ms 1740 KB Output is correct
25 Correct 31 ms 1748 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 12 ms 772 KB Output is correct
30 Correct 25 ms 1124 KB Output is correct
31 Correct 36 ms 1708 KB Output is correct
32 Correct 37 ms 1524 KB Output is correct
33 Correct 37 ms 1696 KB Output is correct
34 Correct 38 ms 1624 KB Output is correct
35 Correct 40 ms 1716 KB Output is correct
36 Correct 37 ms 1520 KB Output is correct
37 Correct 37 ms 1576 KB Output is correct
38 Correct 36 ms 1700 KB Output is correct
39 Correct 37 ms 1588 KB Output is correct
40 Correct 37 ms 1620 KB Output is correct
41 Incorrect 1 ms 340 KB Output isn't correct
42 Halted 0 ms 0 KB -