Submission #790552

# Submission time Handle Problem Language Result Execution time Memory
790552 2023-07-22T20:37:18 Z CSQ31 Diversity (CEOI21_diversity) C++17
64 / 100
121 ms 6744 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]]+in[i])/2;
		/*
		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]]+in[i])/2;
		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--;
		}
		ans[qq[i].id] = cal(r-l+1);	
	}
	for(int i=0;i<q;i++){
		long long int x = ans[i];
		cout<<x<<'\n';
	}
	
	
}
# 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
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 388 KB Output is correct
4 Correct 12 ms 808 KB Output is correct
5 Correct 20 ms 1364 KB Output is correct
6 Correct 32 ms 1620 KB Output is correct
7 Correct 29 ms 2084 KB Output is correct
8 Correct 31 ms 1668 KB Output is correct
9 Correct 31 ms 1652 KB Output is correct
10 Correct 31 ms 1788 KB Output is correct
11 Correct 31 ms 1736 KB Output is correct
12 Correct 32 ms 1660 KB Output is correct
13 Correct 33 ms 1684 KB Output is correct
14 Correct 31 ms 1744 KB Output is correct
15 Correct 31 ms 1780 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 388 KB Output is correct
4 Correct 12 ms 808 KB Output is correct
5 Correct 20 ms 1364 KB Output is correct
6 Correct 32 ms 1620 KB Output is correct
7 Correct 29 ms 2084 KB Output is correct
8 Correct 31 ms 1668 KB Output is correct
9 Correct 31 ms 1652 KB Output is correct
10 Correct 31 ms 1788 KB Output is correct
11 Correct 31 ms 1736 KB Output is correct
12 Correct 32 ms 1660 KB Output is correct
13 Correct 33 ms 1684 KB Output is correct
14 Correct 31 ms 1744 KB Output is correct
15 Correct 31 ms 1780 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 388 KB Output is correct
19 Correct 12 ms 748 KB Output is correct
20 Correct 25 ms 1176 KB Output is correct
21 Correct 36 ms 1684 KB Output is correct
22 Correct 36 ms 1548 KB Output is correct
23 Correct 35 ms 1648 KB Output is correct
24 Correct 36 ms 1612 KB Output is correct
25 Correct 37 ms 1644 KB Output is correct
26 Correct 37 ms 1612 KB Output is correct
27 Correct 36 ms 1620 KB Output is correct
28 Correct 36 ms 1808 KB Output is correct
29 Correct 37 ms 1620 KB Output is correct
30 Correct 36 ms 1560 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 388 KB Output is correct
4 Correct 12 ms 808 KB Output is correct
5 Correct 20 ms 1364 KB Output is correct
6 Correct 32 ms 1620 KB Output is correct
7 Correct 29 ms 2084 KB Output is correct
8 Correct 31 ms 1668 KB Output is correct
9 Correct 31 ms 1652 KB Output is correct
10 Correct 31 ms 1788 KB Output is correct
11 Correct 31 ms 1736 KB Output is correct
12 Correct 32 ms 1660 KB Output is correct
13 Correct 33 ms 1684 KB Output is correct
14 Correct 31 ms 1744 KB Output is correct
15 Correct 31 ms 1780 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 388 KB Output is correct
19 Correct 12 ms 748 KB Output is correct
20 Correct 25 ms 1176 KB Output is correct
21 Correct 36 ms 1684 KB Output is correct
22 Correct 36 ms 1548 KB Output is correct
23 Correct 35 ms 1648 KB Output is correct
24 Correct 36 ms 1612 KB Output is correct
25 Correct 37 ms 1644 KB Output is correct
26 Correct 37 ms 1612 KB Output is correct
27 Correct 36 ms 1620 KB Output is correct
28 Correct 36 ms 1808 KB Output is correct
29 Correct 37 ms 1620 KB Output is correct
30 Correct 36 ms 1560 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 5 ms 468 KB Output is correct
38 Correct 4 ms 468 KB Output is correct
39 Correct 8 ms 768 KB Output is correct
40 Correct 18 ms 1108 KB Output is correct
41 Correct 38 ms 1532 KB Output is correct
42 Correct 30 ms 1520 KB Output is correct
43 Correct 36 ms 1528 KB Output is correct
44 Correct 29 ms 1524 KB Output is correct
45 Correct 29 ms 1528 KB Output is correct
46 Correct 29 ms 1492 KB Output is correct
47 Correct 29 ms 1536 KB Output is correct
48 Correct 29 ms 1492 KB Output is correct
49 Correct 29 ms 1532 KB Output is correct
50 Correct 30 ms 1520 KB Output is correct
51 Correct 29 ms 1524 KB Output is correct
52 Correct 29 ms 1596 KB Output is correct
53 Correct 31 ms 1492 KB Output is correct
54 Correct 30 ms 1496 KB Output is correct
55 Correct 30 ms 1552 KB Output is correct
56 Correct 29 ms 1528 KB Output is correct
57 Correct 28 ms 1540 KB Output is correct
58 Correct 29 ms 1492 KB Output is correct
59 Correct 29 ms 1492 KB Output is correct
60 Correct 29 ms 1532 KB Output is correct
# 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 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 388 KB Output is correct
14 Correct 12 ms 808 KB Output is correct
15 Correct 20 ms 1364 KB Output is correct
16 Correct 32 ms 1620 KB Output is correct
17 Correct 29 ms 2084 KB Output is correct
18 Correct 31 ms 1668 KB Output is correct
19 Correct 31 ms 1652 KB Output is correct
20 Correct 31 ms 1788 KB Output is correct
21 Correct 31 ms 1736 KB Output is correct
22 Correct 32 ms 1660 KB Output is correct
23 Correct 33 ms 1684 KB Output is correct
24 Correct 31 ms 1744 KB Output is correct
25 Correct 31 ms 1780 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 388 KB Output is correct
29 Correct 12 ms 748 KB Output is correct
30 Correct 25 ms 1176 KB Output is correct
31 Correct 36 ms 1684 KB Output is correct
32 Correct 36 ms 1548 KB Output is correct
33 Correct 35 ms 1648 KB Output is correct
34 Correct 36 ms 1612 KB Output is correct
35 Correct 37 ms 1644 KB Output is correct
36 Correct 37 ms 1612 KB Output is correct
37 Correct 36 ms 1620 KB Output is correct
38 Correct 36 ms 1808 KB Output is correct
39 Correct 37 ms 1620 KB Output is correct
40 Correct 36 ms 1560 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 5 ms 468 KB Output is correct
48 Correct 4 ms 468 KB Output is correct
49 Correct 8 ms 768 KB Output is correct
50 Correct 18 ms 1108 KB Output is correct
51 Correct 38 ms 1532 KB Output is correct
52 Correct 30 ms 1520 KB Output is correct
53 Correct 36 ms 1528 KB Output is correct
54 Correct 29 ms 1524 KB Output is correct
55 Correct 29 ms 1528 KB Output is correct
56 Correct 29 ms 1492 KB Output is correct
57 Correct 29 ms 1536 KB Output is correct
58 Correct 29 ms 1492 KB Output is correct
59 Correct 29 ms 1532 KB Output is correct
60 Correct 30 ms 1520 KB Output is correct
61 Correct 29 ms 1524 KB Output is correct
62 Correct 29 ms 1596 KB Output is correct
63 Correct 31 ms 1492 KB Output is correct
64 Correct 30 ms 1496 KB Output is correct
65 Correct 30 ms 1552 KB Output is correct
66 Correct 29 ms 1528 KB Output is correct
67 Correct 28 ms 1540 KB Output is correct
68 Correct 29 ms 1492 KB Output is correct
69 Correct 29 ms 1492 KB Output is correct
70 Correct 29 ms 1532 KB Output is correct
71 Correct 3 ms 596 KB Output is correct
72 Correct 3 ms 596 KB Output is correct
73 Correct 3 ms 596 KB Output is correct
74 Correct 3 ms 596 KB Output is correct
75 Correct 4 ms 596 KB Output is correct
76 Correct 6 ms 876 KB Output is correct
77 Correct 8 ms 852 KB Output is correct
78 Correct 6 ms 944 KB Output is correct
79 Correct 6 ms 852 KB Output is correct
80 Correct 6 ms 852 KB Output is correct
81 Correct 12 ms 1492 KB Output is correct
82 Correct 17 ms 1552 KB Output is correct
83 Correct 16 ms 1540 KB Output is correct
84 Correct 12 ms 1448 KB Output is correct
85 Correct 12 ms 1496 KB Output is correct
86 Correct 13 ms 1840 KB Output is correct
87 Correct 13 ms 1852 KB Output is correct
88 Correct 14 ms 1844 KB Output is correct
89 Correct 13 ms 1832 KB Output is correct
90 Correct 16 ms 1780 KB Output is correct
91 Correct 20 ms 3980 KB Output is correct
92 Correct 29 ms 4036 KB Output is correct
93 Correct 22 ms 4016 KB Output is correct
94 Correct 20 ms 3984 KB Output is correct
95 Correct 20 ms 4044 KB Output is correct
96 Correct 24 ms 6516 KB Output is correct
97 Correct 24 ms 6476 KB Output is correct
98 Correct 24 ms 6524 KB Output is correct
99 Correct 24 ms 6472 KB Output is correct
100 Correct 29 ms 6508 KB Output is correct
101 Correct 24 ms 6492 KB Output is correct
102 Correct 24 ms 6480 KB Output is correct
103 Correct 24 ms 6476 KB Output is correct
104 Correct 24 ms 6476 KB Output is correct
105 Correct 24 ms 6548 KB Output is correct
106 Correct 23 ms 6744 KB Output is correct
107 Correct 24 ms 6620 KB Output is correct
108 Correct 29 ms 6732 KB Output is correct
109 Correct 24 ms 6624 KB Output is correct
110 Correct 24 ms 6732 KB Output is correct
111 Correct 24 ms 6688 KB Output is correct
112 Correct 24 ms 6692 KB Output is correct
113 Correct 24 ms 6648 KB Output is correct
114 Correct 25 ms 6732 KB Output is correct
115 Correct 24 ms 6704 KB Output is correct
# 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 1 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 388 KB Output is correct
14 Correct 12 ms 808 KB Output is correct
15 Correct 20 ms 1364 KB Output is correct
16 Correct 32 ms 1620 KB Output is correct
17 Correct 29 ms 2084 KB Output is correct
18 Correct 31 ms 1668 KB Output is correct
19 Correct 31 ms 1652 KB Output is correct
20 Correct 31 ms 1788 KB Output is correct
21 Correct 31 ms 1736 KB Output is correct
22 Correct 32 ms 1660 KB Output is correct
23 Correct 33 ms 1684 KB Output is correct
24 Correct 31 ms 1744 KB Output is correct
25 Correct 31 ms 1780 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 388 KB Output is correct
29 Correct 12 ms 748 KB Output is correct
30 Correct 25 ms 1176 KB Output is correct
31 Correct 36 ms 1684 KB Output is correct
32 Correct 36 ms 1548 KB Output is correct
33 Correct 35 ms 1648 KB Output is correct
34 Correct 36 ms 1612 KB Output is correct
35 Correct 37 ms 1644 KB Output is correct
36 Correct 37 ms 1612 KB Output is correct
37 Correct 36 ms 1620 KB Output is correct
38 Correct 36 ms 1808 KB Output is correct
39 Correct 37 ms 1620 KB Output is correct
40 Correct 36 ms 1560 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 5 ms 468 KB Output is correct
48 Correct 4 ms 468 KB Output is correct
49 Correct 8 ms 768 KB Output is correct
50 Correct 18 ms 1108 KB Output is correct
51 Correct 38 ms 1532 KB Output is correct
52 Correct 30 ms 1520 KB Output is correct
53 Correct 36 ms 1528 KB Output is correct
54 Correct 29 ms 1524 KB Output is correct
55 Correct 29 ms 1528 KB Output is correct
56 Correct 29 ms 1492 KB Output is correct
57 Correct 29 ms 1536 KB Output is correct
58 Correct 29 ms 1492 KB Output is correct
59 Correct 29 ms 1532 KB Output is correct
60 Correct 30 ms 1520 KB Output is correct
61 Correct 29 ms 1524 KB Output is correct
62 Correct 29 ms 1596 KB Output is correct
63 Correct 31 ms 1492 KB Output is correct
64 Correct 30 ms 1496 KB Output is correct
65 Correct 30 ms 1552 KB Output is correct
66 Correct 29 ms 1528 KB Output is correct
67 Correct 28 ms 1540 KB Output is correct
68 Correct 29 ms 1492 KB Output is correct
69 Correct 29 ms 1492 KB Output is correct
70 Correct 29 ms 1532 KB Output is correct
71 Correct 3 ms 596 KB Output is correct
72 Correct 3 ms 596 KB Output is correct
73 Correct 3 ms 596 KB Output is correct
74 Correct 3 ms 596 KB Output is correct
75 Correct 4 ms 596 KB Output is correct
76 Correct 6 ms 876 KB Output is correct
77 Correct 8 ms 852 KB Output is correct
78 Correct 6 ms 944 KB Output is correct
79 Correct 6 ms 852 KB Output is correct
80 Correct 6 ms 852 KB Output is correct
81 Correct 12 ms 1492 KB Output is correct
82 Correct 17 ms 1552 KB Output is correct
83 Correct 16 ms 1540 KB Output is correct
84 Correct 12 ms 1448 KB Output is correct
85 Correct 12 ms 1496 KB Output is correct
86 Correct 13 ms 1840 KB Output is correct
87 Correct 13 ms 1852 KB Output is correct
88 Correct 14 ms 1844 KB Output is correct
89 Correct 13 ms 1832 KB Output is correct
90 Correct 16 ms 1780 KB Output is correct
91 Correct 20 ms 3980 KB Output is correct
92 Correct 29 ms 4036 KB Output is correct
93 Correct 22 ms 4016 KB Output is correct
94 Correct 20 ms 3984 KB Output is correct
95 Correct 20 ms 4044 KB Output is correct
96 Correct 24 ms 6516 KB Output is correct
97 Correct 24 ms 6476 KB Output is correct
98 Correct 24 ms 6524 KB Output is correct
99 Correct 24 ms 6472 KB Output is correct
100 Correct 29 ms 6508 KB Output is correct
101 Correct 24 ms 6492 KB Output is correct
102 Correct 24 ms 6480 KB Output is correct
103 Correct 24 ms 6476 KB Output is correct
104 Correct 24 ms 6476 KB Output is correct
105 Correct 24 ms 6548 KB Output is correct
106 Correct 23 ms 6744 KB Output is correct
107 Correct 24 ms 6620 KB Output is correct
108 Correct 29 ms 6732 KB Output is correct
109 Correct 24 ms 6624 KB Output is correct
110 Correct 24 ms 6732 KB Output is correct
111 Correct 24 ms 6688 KB Output is correct
112 Correct 24 ms 6692 KB Output is correct
113 Correct 24 ms 6648 KB Output is correct
114 Correct 25 ms 6732 KB Output is correct
115 Correct 24 ms 6704 KB Output is correct
116 Runtime error 121 ms 3300 KB Execution killed with signal 11
117 Halted 0 ms 0 KB -