Submission #790557

# Submission time Handle Problem Language Result Execution time Memory
790557 2023-07-22T20:40:01 Z CSQ31 Diversity (CEOI21_diversity) C++17
64 / 100
41 ms 4668 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 long long int ll;
typedef pair<int,int> pii;
typedef vector<vector<int>> vii;
const int MAXN = 3e5+5,blk = 450;
int a[MAXN],cnt[MAXN],freq[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);
	}
};
set<int>s;
void add(int x,int c){
	if(freq[cnt[x]] == 1)s.erase(cnt[x]);
	freq[cnt[x]]--;
	cnt[x]+=c;
	assert(cnt[x]>=0);
	freq[cnt[x]]++;
	if(freq[cnt[x]] == 1)s.insert(cnt[x]);
}
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++)cout<<ans[i]<<'\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 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 340 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 260 KB Output is correct
# 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 764 KB Output is correct
5 Correct 20 ms 1276 KB Output is correct
6 Correct 32 ms 1688 KB Output is correct
7 Correct 28 ms 2112 KB Output is correct
8 Correct 31 ms 1608 KB Output is correct
9 Correct 34 ms 1692 KB Output is correct
10 Correct 31 ms 1792 KB Output is correct
11 Correct 31 ms 1740 KB Output is correct
12 Correct 32 ms 1632 KB Output is correct
13 Correct 32 ms 1656 KB Output is correct
14 Correct 31 ms 1764 KB Output is correct
15 Correct 31 ms 1740 KB Output is correct
# 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 764 KB Output is correct
5 Correct 20 ms 1276 KB Output is correct
6 Correct 32 ms 1688 KB Output is correct
7 Correct 28 ms 2112 KB Output is correct
8 Correct 31 ms 1608 KB Output is correct
9 Correct 34 ms 1692 KB Output is correct
10 Correct 31 ms 1792 KB Output is correct
11 Correct 31 ms 1740 KB Output is correct
12 Correct 32 ms 1632 KB Output is correct
13 Correct 32 ms 1656 KB Output is correct
14 Correct 31 ms 1764 KB Output is correct
15 Correct 31 ms 1740 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 12 ms 792 KB Output is correct
20 Correct 25 ms 1176 KB Output is correct
21 Correct 35 ms 1652 KB Output is correct
22 Correct 37 ms 1620 KB Output is correct
23 Correct 36 ms 1628 KB Output is correct
24 Correct 36 ms 1544 KB Output is correct
25 Correct 41 ms 1648 KB Output is correct
26 Correct 37 ms 1624 KB Output is correct
27 Correct 36 ms 1632 KB Output is correct
28 Correct 36 ms 1704 KB Output is correct
29 Correct 36 ms 1604 KB Output is correct
30 Correct 36 ms 1676 KB Output is correct
# 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 764 KB Output is correct
5 Correct 20 ms 1276 KB Output is correct
6 Correct 32 ms 1688 KB Output is correct
7 Correct 28 ms 2112 KB Output is correct
8 Correct 31 ms 1608 KB Output is correct
9 Correct 34 ms 1692 KB Output is correct
10 Correct 31 ms 1792 KB Output is correct
11 Correct 31 ms 1740 KB Output is correct
12 Correct 32 ms 1632 KB Output is correct
13 Correct 32 ms 1656 KB Output is correct
14 Correct 31 ms 1764 KB Output is correct
15 Correct 31 ms 1740 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 12 ms 792 KB Output is correct
20 Correct 25 ms 1176 KB Output is correct
21 Correct 35 ms 1652 KB Output is correct
22 Correct 37 ms 1620 KB Output is correct
23 Correct 36 ms 1628 KB Output is correct
24 Correct 36 ms 1544 KB Output is correct
25 Correct 41 ms 1648 KB Output is correct
26 Correct 37 ms 1624 KB Output is correct
27 Correct 36 ms 1632 KB Output is correct
28 Correct 36 ms 1704 KB Output is correct
29 Correct 36 ms 1604 KB Output is correct
30 Correct 36 ms 1676 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 0 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 724 KB Output is correct
40 Correct 23 ms 1132 KB Output is correct
41 Correct 29 ms 1524 KB Output is correct
42 Correct 30 ms 1496 KB Output is correct
43 Correct 30 ms 1492 KB Output is correct
44 Correct 30 ms 1492 KB Output is correct
45 Correct 35 ms 1504 KB Output is correct
46 Correct 29 ms 1520 KB Output is correct
47 Correct 30 ms 1536 KB Output is correct
48 Correct 29 ms 1536 KB Output is correct
49 Correct 29 ms 1524 KB Output is correct
50 Correct 34 ms 1492 KB Output is correct
51 Correct 30 ms 1532 KB Output is correct
52 Correct 35 ms 1524 KB Output is correct
53 Correct 32 ms 1536 KB Output is correct
54 Correct 35 ms 1472 KB Output is correct
55 Correct 35 ms 1516 KB Output is correct
56 Correct 29 ms 1492 KB Output is correct
57 Correct 29 ms 1648 KB Output is correct
58 Correct 30 ms 1492 KB Output is correct
59 Correct 30 ms 1528 KB Output is correct
60 Correct 33 ms 1516 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 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 340 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 260 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 764 KB Output is correct
15 Correct 20 ms 1276 KB Output is correct
16 Correct 32 ms 1688 KB Output is correct
17 Correct 28 ms 2112 KB Output is correct
18 Correct 31 ms 1608 KB Output is correct
19 Correct 34 ms 1692 KB Output is correct
20 Correct 31 ms 1792 KB Output is correct
21 Correct 31 ms 1740 KB Output is correct
22 Correct 32 ms 1632 KB Output is correct
23 Correct 32 ms 1656 KB Output is correct
24 Correct 31 ms 1764 KB Output is correct
25 Correct 31 ms 1740 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 12 ms 792 KB Output is correct
30 Correct 25 ms 1176 KB Output is correct
31 Correct 35 ms 1652 KB Output is correct
32 Correct 37 ms 1620 KB Output is correct
33 Correct 36 ms 1628 KB Output is correct
34 Correct 36 ms 1544 KB Output is correct
35 Correct 41 ms 1648 KB Output is correct
36 Correct 37 ms 1624 KB Output is correct
37 Correct 36 ms 1632 KB Output is correct
38 Correct 36 ms 1704 KB Output is correct
39 Correct 36 ms 1604 KB Output is correct
40 Correct 36 ms 1676 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 0 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 724 KB Output is correct
50 Correct 23 ms 1132 KB Output is correct
51 Correct 29 ms 1524 KB Output is correct
52 Correct 30 ms 1496 KB Output is correct
53 Correct 30 ms 1492 KB Output is correct
54 Correct 30 ms 1492 KB Output is correct
55 Correct 35 ms 1504 KB Output is correct
56 Correct 29 ms 1520 KB Output is correct
57 Correct 30 ms 1536 KB Output is correct
58 Correct 29 ms 1536 KB Output is correct
59 Correct 29 ms 1524 KB Output is correct
60 Correct 34 ms 1492 KB Output is correct
61 Correct 30 ms 1532 KB Output is correct
62 Correct 35 ms 1524 KB Output is correct
63 Correct 32 ms 1536 KB Output is correct
64 Correct 35 ms 1472 KB Output is correct
65 Correct 35 ms 1516 KB Output is correct
66 Correct 29 ms 1492 KB Output is correct
67 Correct 29 ms 1648 KB Output is correct
68 Correct 30 ms 1492 KB Output is correct
69 Correct 30 ms 1528 KB Output is correct
70 Correct 33 ms 1516 KB Output is correct
71 Correct 3 ms 468 KB Output is correct
72 Correct 3 ms 468 KB Output is correct
73 Correct 3 ms 512 KB Output is correct
74 Correct 3 ms 468 KB Output is correct
75 Correct 3 ms 468 KB Output is correct
76 Correct 6 ms 748 KB Output is correct
77 Correct 8 ms 852 KB Output is correct
78 Correct 10 ms 852 KB Output is correct
79 Correct 8 ms 848 KB Output is correct
80 Correct 8 ms 852 KB Output is correct
81 Correct 12 ms 1320 KB Output is correct
82 Correct 12 ms 1336 KB Output is correct
83 Correct 12 ms 1364 KB Output is correct
84 Correct 12 ms 1328 KB Output is correct
85 Correct 12 ms 1340 KB Output is correct
86 Correct 13 ms 1532 KB Output is correct
87 Correct 13 ms 1496 KB Output is correct
88 Correct 13 ms 1504 KB Output is correct
89 Correct 13 ms 1560 KB Output is correct
90 Correct 13 ms 1576 KB Output is correct
91 Correct 19 ms 3024 KB Output is correct
92 Correct 20 ms 3000 KB Output is correct
93 Correct 19 ms 2968 KB Output is correct
94 Correct 19 ms 2968 KB Output is correct
95 Correct 20 ms 3044 KB Output is correct
96 Correct 23 ms 4424 KB Output is correct
97 Correct 23 ms 4432 KB Output is correct
98 Correct 23 ms 4460 KB Output is correct
99 Correct 22 ms 4404 KB Output is correct
100 Correct 23 ms 4416 KB Output is correct
101 Correct 24 ms 4412 KB Output is correct
102 Correct 29 ms 4428 KB Output is correct
103 Correct 23 ms 4488 KB Output is correct
104 Correct 23 ms 4404 KB Output is correct
105 Correct 23 ms 4488 KB Output is correct
106 Correct 23 ms 4552 KB Output is correct
107 Correct 23 ms 4588 KB Output is correct
108 Correct 22 ms 4664 KB Output is correct
109 Correct 23 ms 4640 KB Output is correct
110 Correct 23 ms 4612 KB Output is correct
111 Correct 25 ms 4552 KB Output is correct
112 Correct 23 ms 4604 KB Output is correct
113 Correct 23 ms 4668 KB Output is correct
114 Correct 26 ms 4620 KB Output is correct
115 Correct 23 ms 4652 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 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 340 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 260 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 764 KB Output is correct
15 Correct 20 ms 1276 KB Output is correct
16 Correct 32 ms 1688 KB Output is correct
17 Correct 28 ms 2112 KB Output is correct
18 Correct 31 ms 1608 KB Output is correct
19 Correct 34 ms 1692 KB Output is correct
20 Correct 31 ms 1792 KB Output is correct
21 Correct 31 ms 1740 KB Output is correct
22 Correct 32 ms 1632 KB Output is correct
23 Correct 32 ms 1656 KB Output is correct
24 Correct 31 ms 1764 KB Output is correct
25 Correct 31 ms 1740 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 12 ms 792 KB Output is correct
30 Correct 25 ms 1176 KB Output is correct
31 Correct 35 ms 1652 KB Output is correct
32 Correct 37 ms 1620 KB Output is correct
33 Correct 36 ms 1628 KB Output is correct
34 Correct 36 ms 1544 KB Output is correct
35 Correct 41 ms 1648 KB Output is correct
36 Correct 37 ms 1624 KB Output is correct
37 Correct 36 ms 1632 KB Output is correct
38 Correct 36 ms 1704 KB Output is correct
39 Correct 36 ms 1604 KB Output is correct
40 Correct 36 ms 1676 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 0 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 724 KB Output is correct
50 Correct 23 ms 1132 KB Output is correct
51 Correct 29 ms 1524 KB Output is correct
52 Correct 30 ms 1496 KB Output is correct
53 Correct 30 ms 1492 KB Output is correct
54 Correct 30 ms 1492 KB Output is correct
55 Correct 35 ms 1504 KB Output is correct
56 Correct 29 ms 1520 KB Output is correct
57 Correct 30 ms 1536 KB Output is correct
58 Correct 29 ms 1536 KB Output is correct
59 Correct 29 ms 1524 KB Output is correct
60 Correct 34 ms 1492 KB Output is correct
61 Correct 30 ms 1532 KB Output is correct
62 Correct 35 ms 1524 KB Output is correct
63 Correct 32 ms 1536 KB Output is correct
64 Correct 35 ms 1472 KB Output is correct
65 Correct 35 ms 1516 KB Output is correct
66 Correct 29 ms 1492 KB Output is correct
67 Correct 29 ms 1648 KB Output is correct
68 Correct 30 ms 1492 KB Output is correct
69 Correct 30 ms 1528 KB Output is correct
70 Correct 33 ms 1516 KB Output is correct
71 Correct 3 ms 468 KB Output is correct
72 Correct 3 ms 468 KB Output is correct
73 Correct 3 ms 512 KB Output is correct
74 Correct 3 ms 468 KB Output is correct
75 Correct 3 ms 468 KB Output is correct
76 Correct 6 ms 748 KB Output is correct
77 Correct 8 ms 852 KB Output is correct
78 Correct 10 ms 852 KB Output is correct
79 Correct 8 ms 848 KB Output is correct
80 Correct 8 ms 852 KB Output is correct
81 Correct 12 ms 1320 KB Output is correct
82 Correct 12 ms 1336 KB Output is correct
83 Correct 12 ms 1364 KB Output is correct
84 Correct 12 ms 1328 KB Output is correct
85 Correct 12 ms 1340 KB Output is correct
86 Correct 13 ms 1532 KB Output is correct
87 Correct 13 ms 1496 KB Output is correct
88 Correct 13 ms 1504 KB Output is correct
89 Correct 13 ms 1560 KB Output is correct
90 Correct 13 ms 1576 KB Output is correct
91 Correct 19 ms 3024 KB Output is correct
92 Correct 20 ms 3000 KB Output is correct
93 Correct 19 ms 2968 KB Output is correct
94 Correct 19 ms 2968 KB Output is correct
95 Correct 20 ms 3044 KB Output is correct
96 Correct 23 ms 4424 KB Output is correct
97 Correct 23 ms 4432 KB Output is correct
98 Correct 23 ms 4460 KB Output is correct
99 Correct 22 ms 4404 KB Output is correct
100 Correct 23 ms 4416 KB Output is correct
101 Correct 24 ms 4412 KB Output is correct
102 Correct 29 ms 4428 KB Output is correct
103 Correct 23 ms 4488 KB Output is correct
104 Correct 23 ms 4404 KB Output is correct
105 Correct 23 ms 4488 KB Output is correct
106 Correct 23 ms 4552 KB Output is correct
107 Correct 23 ms 4588 KB Output is correct
108 Correct 22 ms 4664 KB Output is correct
109 Correct 23 ms 4640 KB Output is correct
110 Correct 23 ms 4612 KB Output is correct
111 Correct 25 ms 4552 KB Output is correct
112 Correct 23 ms 4604 KB Output is correct
113 Correct 23 ms 4668 KB Output is correct
114 Correct 26 ms 4620 KB Output is correct
115 Correct 23 ms 4652 KB Output is correct
116 Runtime error 12 ms 2512 KB Execution killed with signal 6
117 Halted 0 ms 0 KB -