Submission #790569

# Submission time Handle Problem Language Result Execution time Memory
790569 2023-07-22T20:58:46 Z CSQ31 Diversity (CEOI21_diversity) C++17
64 / 100
7000 ms 3652 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];
	}
	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(R<r){
			R++;
			add(a[R],1);
		}
		while(L<l){
			add(a[L],-1);
			L++;
		}
		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 0 ms 340 KB Output is correct
5 Correct 0 ms 340 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 0 ms 340 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 724 KB Output is correct
5 Correct 20 ms 1296 KB Output is correct
6 Correct 33 ms 1660 KB Output is correct
7 Correct 29 ms 2104 KB Output is correct
8 Correct 32 ms 1612 KB Output is correct
9 Correct 33 ms 1680 KB Output is correct
10 Correct 31 ms 1800 KB Output is correct
11 Correct 38 ms 1684 KB Output is correct
12 Correct 33 ms 1692 KB Output is correct
13 Correct 32 ms 1696 KB Output is correct
14 Correct 32 ms 1752 KB Output is correct
15 Correct 36 ms 1768 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 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 724 KB Output is correct
5 Correct 20 ms 1296 KB Output is correct
6 Correct 33 ms 1660 KB Output is correct
7 Correct 29 ms 2104 KB Output is correct
8 Correct 32 ms 1612 KB Output is correct
9 Correct 33 ms 1680 KB Output is correct
10 Correct 31 ms 1800 KB Output is correct
11 Correct 38 ms 1684 KB Output is correct
12 Correct 33 ms 1692 KB Output is correct
13 Correct 32 ms 1696 KB Output is correct
14 Correct 32 ms 1752 KB Output is correct
15 Correct 36 ms 1768 KB Output is correct
16 Correct 0 ms 384 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 732 KB Output is correct
20 Correct 24 ms 1216 KB Output is correct
21 Correct 36 ms 1632 KB Output is correct
22 Correct 37 ms 1608 KB Output is correct
23 Correct 37 ms 1628 KB Output is correct
24 Correct 37 ms 1576 KB Output is correct
25 Correct 37 ms 1648 KB Output is correct
26 Correct 37 ms 1604 KB Output is correct
27 Correct 41 ms 1724 KB Output is correct
28 Correct 36 ms 1676 KB Output is correct
29 Correct 37 ms 1572 KB Output is correct
30 Correct 37 ms 1640 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 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 724 KB Output is correct
5 Correct 20 ms 1296 KB Output is correct
6 Correct 33 ms 1660 KB Output is correct
7 Correct 29 ms 2104 KB Output is correct
8 Correct 32 ms 1612 KB Output is correct
9 Correct 33 ms 1680 KB Output is correct
10 Correct 31 ms 1800 KB Output is correct
11 Correct 38 ms 1684 KB Output is correct
12 Correct 33 ms 1692 KB Output is correct
13 Correct 32 ms 1696 KB Output is correct
14 Correct 32 ms 1752 KB Output is correct
15 Correct 36 ms 1768 KB Output is correct
16 Correct 0 ms 384 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 732 KB Output is correct
20 Correct 24 ms 1216 KB Output is correct
21 Correct 36 ms 1632 KB Output is correct
22 Correct 37 ms 1608 KB Output is correct
23 Correct 37 ms 1628 KB Output is correct
24 Correct 37 ms 1576 KB Output is correct
25 Correct 37 ms 1648 KB Output is correct
26 Correct 37 ms 1604 KB Output is correct
27 Correct 41 ms 1724 KB Output is correct
28 Correct 36 ms 1676 KB Output is correct
29 Correct 37 ms 1572 KB Output is correct
30 Correct 37 ms 1640 KB Output is correct
31 Correct 0 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 2 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 540 KB Output is correct
38 Correct 4 ms 468 KB Output is correct
39 Correct 8 ms 764 KB Output is correct
40 Correct 18 ms 1140 KB Output is correct
41 Correct 30 ms 1512 KB Output is correct
42 Correct 31 ms 1532 KB Output is correct
43 Correct 34 ms 1520 KB Output is correct
44 Correct 30 ms 1504 KB Output is correct
45 Correct 29 ms 1544 KB Output is correct
46 Correct 29 ms 1540 KB Output is correct
47 Correct 33 ms 1492 KB Output is correct
48 Correct 30 ms 1496 KB Output is correct
49 Correct 29 ms 1492 KB Output is correct
50 Correct 30 ms 1524 KB Output is correct
51 Correct 36 ms 1464 KB Output is correct
52 Correct 30 ms 1520 KB Output is correct
53 Correct 32 ms 1532 KB Output is correct
54 Correct 30 ms 1532 KB Output is correct
55 Correct 31 ms 1488 KB Output is correct
56 Correct 29 ms 1508 KB Output is correct
57 Correct 35 ms 1512 KB Output is correct
58 Correct 30 ms 1532 KB Output is correct
59 Correct 30 ms 1532 KB Output is correct
60 Correct 29 ms 1528 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 0 ms 340 KB Output is correct
5 Correct 0 ms 340 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 340 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 724 KB Output is correct
15 Correct 20 ms 1296 KB Output is correct
16 Correct 33 ms 1660 KB Output is correct
17 Correct 29 ms 2104 KB Output is correct
18 Correct 32 ms 1612 KB Output is correct
19 Correct 33 ms 1680 KB Output is correct
20 Correct 31 ms 1800 KB Output is correct
21 Correct 38 ms 1684 KB Output is correct
22 Correct 33 ms 1692 KB Output is correct
23 Correct 32 ms 1696 KB Output is correct
24 Correct 32 ms 1752 KB Output is correct
25 Correct 36 ms 1768 KB Output is correct
26 Correct 0 ms 384 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 732 KB Output is correct
30 Correct 24 ms 1216 KB Output is correct
31 Correct 36 ms 1632 KB Output is correct
32 Correct 37 ms 1608 KB Output is correct
33 Correct 37 ms 1628 KB Output is correct
34 Correct 37 ms 1576 KB Output is correct
35 Correct 37 ms 1648 KB Output is correct
36 Correct 37 ms 1604 KB Output is correct
37 Correct 41 ms 1724 KB Output is correct
38 Correct 36 ms 1676 KB Output is correct
39 Correct 37 ms 1572 KB Output is correct
40 Correct 37 ms 1640 KB Output is correct
41 Correct 0 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 2 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 540 KB Output is correct
48 Correct 4 ms 468 KB Output is correct
49 Correct 8 ms 764 KB Output is correct
50 Correct 18 ms 1140 KB Output is correct
51 Correct 30 ms 1512 KB Output is correct
52 Correct 31 ms 1532 KB Output is correct
53 Correct 34 ms 1520 KB Output is correct
54 Correct 30 ms 1504 KB Output is correct
55 Correct 29 ms 1544 KB Output is correct
56 Correct 29 ms 1540 KB Output is correct
57 Correct 33 ms 1492 KB Output is correct
58 Correct 30 ms 1496 KB Output is correct
59 Correct 29 ms 1492 KB Output is correct
60 Correct 30 ms 1524 KB Output is correct
61 Correct 36 ms 1464 KB Output is correct
62 Correct 30 ms 1520 KB Output is correct
63 Correct 32 ms 1532 KB Output is correct
64 Correct 30 ms 1532 KB Output is correct
65 Correct 31 ms 1488 KB Output is correct
66 Correct 29 ms 1508 KB Output is correct
67 Correct 35 ms 1512 KB Output is correct
68 Correct 30 ms 1532 KB Output is correct
69 Correct 30 ms 1532 KB Output is correct
70 Correct 29 ms 1528 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 536 KB Output is correct
74 Correct 3 ms 468 KB Output is correct
75 Correct 3 ms 548 KB Output is correct
76 Correct 6 ms 724 KB Output is correct
77 Correct 6 ms 784 KB Output is correct
78 Correct 6 ms 724 KB Output is correct
79 Correct 6 ms 724 KB Output is correct
80 Correct 6 ms 724 KB Output is correct
81 Correct 13 ms 1236 KB Output is correct
82 Correct 11 ms 1236 KB Output is correct
83 Correct 12 ms 1236 KB Output is correct
84 Correct 11 ms 1208 KB Output is correct
85 Correct 11 ms 1188 KB Output is correct
86 Correct 13 ms 1364 KB Output is correct
87 Correct 13 ms 1364 KB Output is correct
88 Correct 13 ms 1300 KB Output is correct
89 Correct 13 ms 1396 KB Output is correct
90 Correct 13 ms 1364 KB Output is correct
91 Correct 19 ms 2444 KB Output is correct
92 Correct 19 ms 2520 KB Output is correct
93 Correct 21 ms 2464 KB Output is correct
94 Correct 19 ms 2448 KB Output is correct
95 Correct 19 ms 2512 KB Output is correct
96 Correct 22 ms 3348 KB Output is correct
97 Correct 21 ms 3320 KB Output is correct
98 Correct 25 ms 3404 KB Output is correct
99 Correct 22 ms 3440 KB Output is correct
100 Correct 22 ms 3412 KB Output is correct
101 Correct 22 ms 3332 KB Output is correct
102 Correct 22 ms 3444 KB Output is correct
103 Correct 22 ms 3344 KB Output is correct
104 Correct 22 ms 3400 KB Output is correct
105 Correct 22 ms 3432 KB Output is correct
106 Correct 26 ms 3548 KB Output is correct
107 Correct 21 ms 3604 KB Output is correct
108 Correct 22 ms 3652 KB Output is correct
109 Correct 21 ms 3636 KB Output is correct
110 Correct 22 ms 3592 KB Output is correct
111 Correct 22 ms 3612 KB Output is correct
112 Correct 21 ms 3584 KB Output is correct
113 Correct 22 ms 3540 KB Output is correct
114 Correct 26 ms 3540 KB Output is correct
115 Correct 23 ms 3616 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 0 ms 340 KB Output is correct
5 Correct 0 ms 340 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 340 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 724 KB Output is correct
15 Correct 20 ms 1296 KB Output is correct
16 Correct 33 ms 1660 KB Output is correct
17 Correct 29 ms 2104 KB Output is correct
18 Correct 32 ms 1612 KB Output is correct
19 Correct 33 ms 1680 KB Output is correct
20 Correct 31 ms 1800 KB Output is correct
21 Correct 38 ms 1684 KB Output is correct
22 Correct 33 ms 1692 KB Output is correct
23 Correct 32 ms 1696 KB Output is correct
24 Correct 32 ms 1752 KB Output is correct
25 Correct 36 ms 1768 KB Output is correct
26 Correct 0 ms 384 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 732 KB Output is correct
30 Correct 24 ms 1216 KB Output is correct
31 Correct 36 ms 1632 KB Output is correct
32 Correct 37 ms 1608 KB Output is correct
33 Correct 37 ms 1628 KB Output is correct
34 Correct 37 ms 1576 KB Output is correct
35 Correct 37 ms 1648 KB Output is correct
36 Correct 37 ms 1604 KB Output is correct
37 Correct 41 ms 1724 KB Output is correct
38 Correct 36 ms 1676 KB Output is correct
39 Correct 37 ms 1572 KB Output is correct
40 Correct 37 ms 1640 KB Output is correct
41 Correct 0 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 2 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 540 KB Output is correct
48 Correct 4 ms 468 KB Output is correct
49 Correct 8 ms 764 KB Output is correct
50 Correct 18 ms 1140 KB Output is correct
51 Correct 30 ms 1512 KB Output is correct
52 Correct 31 ms 1532 KB Output is correct
53 Correct 34 ms 1520 KB Output is correct
54 Correct 30 ms 1504 KB Output is correct
55 Correct 29 ms 1544 KB Output is correct
56 Correct 29 ms 1540 KB Output is correct
57 Correct 33 ms 1492 KB Output is correct
58 Correct 30 ms 1496 KB Output is correct
59 Correct 29 ms 1492 KB Output is correct
60 Correct 30 ms 1524 KB Output is correct
61 Correct 36 ms 1464 KB Output is correct
62 Correct 30 ms 1520 KB Output is correct
63 Correct 32 ms 1532 KB Output is correct
64 Correct 30 ms 1532 KB Output is correct
65 Correct 31 ms 1488 KB Output is correct
66 Correct 29 ms 1508 KB Output is correct
67 Correct 35 ms 1512 KB Output is correct
68 Correct 30 ms 1532 KB Output is correct
69 Correct 30 ms 1532 KB Output is correct
70 Correct 29 ms 1528 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 536 KB Output is correct
74 Correct 3 ms 468 KB Output is correct
75 Correct 3 ms 548 KB Output is correct
76 Correct 6 ms 724 KB Output is correct
77 Correct 6 ms 784 KB Output is correct
78 Correct 6 ms 724 KB Output is correct
79 Correct 6 ms 724 KB Output is correct
80 Correct 6 ms 724 KB Output is correct
81 Correct 13 ms 1236 KB Output is correct
82 Correct 11 ms 1236 KB Output is correct
83 Correct 12 ms 1236 KB Output is correct
84 Correct 11 ms 1208 KB Output is correct
85 Correct 11 ms 1188 KB Output is correct
86 Correct 13 ms 1364 KB Output is correct
87 Correct 13 ms 1364 KB Output is correct
88 Correct 13 ms 1300 KB Output is correct
89 Correct 13 ms 1396 KB Output is correct
90 Correct 13 ms 1364 KB Output is correct
91 Correct 19 ms 2444 KB Output is correct
92 Correct 19 ms 2520 KB Output is correct
93 Correct 21 ms 2464 KB Output is correct
94 Correct 19 ms 2448 KB Output is correct
95 Correct 19 ms 2512 KB Output is correct
96 Correct 22 ms 3348 KB Output is correct
97 Correct 21 ms 3320 KB Output is correct
98 Correct 25 ms 3404 KB Output is correct
99 Correct 22 ms 3440 KB Output is correct
100 Correct 22 ms 3412 KB Output is correct
101 Correct 22 ms 3332 KB Output is correct
102 Correct 22 ms 3444 KB Output is correct
103 Correct 22 ms 3344 KB Output is correct
104 Correct 22 ms 3400 KB Output is correct
105 Correct 22 ms 3432 KB Output is correct
106 Correct 26 ms 3548 KB Output is correct
107 Correct 21 ms 3604 KB Output is correct
108 Correct 22 ms 3652 KB Output is correct
109 Correct 21 ms 3636 KB Output is correct
110 Correct 22 ms 3592 KB Output is correct
111 Correct 22 ms 3612 KB Output is correct
112 Correct 21 ms 3584 KB Output is correct
113 Correct 22 ms 3540 KB Output is correct
114 Correct 26 ms 3540 KB Output is correct
115 Correct 23 ms 3616 KB Output is correct
116 Correct 643 ms 1740 KB Output is correct
117 Correct 487 ms 1748 KB Output is correct
118 Correct 972 ms 2040 KB Output is correct
119 Correct 458 ms 2064 KB Output is correct
120 Correct 293 ms 2076 KB Output is correct
121 Correct 624 ms 2280 KB Output is correct
122 Correct 425 ms 2272 KB Output is correct
123 Correct 2082 ms 2816 KB Output is correct
124 Correct 749 ms 2936 KB Output is correct
125 Correct 817 ms 3032 KB Output is correct
126 Execution timed out 7081 ms 2672 KB Time limit exceeded
127 Halted 0 ms 0 KB -